TSTP Solution File: HWV041_7 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : HWV041_7 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Sep 17 02:11:49 EDT 2022
% Result : Unsatisfiable 53.37s 33.56s
% Output : Proof 56.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : HWV041_7 : TPTP v8.1.0. Released v5.3.0.
% 0.05/0.10 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.10/0.30 % Computer : n002.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Wed Aug 31 22:36:15 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.10/0.31 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.10/0.31 Usage: tptp [options] [-file:]file
% 0.10/0.31 -h, -? prints this message.
% 0.10/0.31 -smt2 print SMT-LIB2 benchmark.
% 0.10/0.31 -m, -model generate model.
% 0.10/0.31 -p, -proof generate proof.
% 0.10/0.31 -c, -core generate unsat core of named formulas.
% 0.10/0.31 -st, -statistics display statistics.
% 0.10/0.31 -t:timeout set timeout (in second).
% 0.10/0.31 -smt2status display status in smt2 format instead of SZS.
% 0.10/0.31 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.10/0.31 -<param>:<value> configuration parameter and value.
% 0.10/0.31 -o:<output-file> file to place output in.
% 53.37/33.56 % SZS status Unsatisfiable
% 53.37/33.56 % SZS output start Proof
% 53.37/33.56 tff(v209_type, type, (
% 53.37/33.56 v209: state_type > $o)).
% 53.37/33.56 tff(sK_VarCurr_type, type, (
% 53.37/33.56 sK_VarCurr: state_type)).
% 53.37/33.56 tff(v206_type, type, (
% 53.37/33.56 v206: state_type > $o)).
% 53.37/33.56 tff(v207_type, type, (
% 53.37/33.56 v207: state_type > $o)).
% 53.37/33.56 tff(v86_type, type, (
% 53.37/33.56 v86: state_type > $o)).
% 53.37/33.56 tff(constB95_type, type, (
% 53.37/33.56 constB95: state_type)).
% 53.37/33.56 tff(constB73_type, type, (
% 53.37/33.56 constB73: state_type)).
% 53.37/33.56 tff(v196_type, type, (
% 53.37/33.56 v196: state_type > $o)).
% 53.37/33.56 tff(constB126_type, type, (
% 53.37/33.56 constB126: state_type)).
% 53.37/33.56 tff(v1_type, type, (
% 53.37/33.56 v1: state_type > $o)).
% 53.37/33.56 tff(v184_type, type, (
% 53.37/33.56 v184: state_type > $o)).
% 53.37/33.56 tff(v205_type, type, (
% 53.37/33.56 v205: state_type > $o)).
% 53.37/33.56 tff(v204_type, type, (
% 53.37/33.56 v204: state_type > $o)).
% 53.37/33.56 tff(constB132_type, type, (
% 53.37/33.56 constB132: state_type)).
% 53.37/33.56 tff(constB58_type, type, (
% 53.37/33.56 constB58: state_type)).
% 53.37/33.56 tff(constB154_type, type, (
% 53.37/33.56 constB154: state_type)).
% 53.37/33.56 tff(constB8_type, type, (
% 53.37/33.56 constB8: state_type)).
% 53.37/33.56 tff(constB200_type, type, (
% 53.37/33.56 constB200: state_type)).
% 53.37/33.56 tff(constB138_type, type, (
% 53.37/33.56 constB138: state_type)).
% 53.37/33.56 tff(constB148_type, type, (
% 53.37/33.56 constB148: state_type)).
% 53.37/33.56 tff(constB172_type, type, (
% 53.37/33.56 constB172: state_type)).
% 53.37/33.56 tff(constB106_type, type, (
% 53.37/33.56 constB106: state_type)).
% 53.37/33.56 tff(constB176_type, type, (
% 53.37/33.56 constB176: state_type)).
% 53.37/33.56 tff(constB194_type, type, (
% 53.37/33.56 constB194: state_type)).
% 53.37/33.56 tff(constB52_type, type, (
% 53.37/33.56 constB52: state_type)).
% 53.37/33.56 tff(constB164_type, type, (
% 53.37/33.56 constB164: state_type)).
% 53.37/33.56 tff(constB54_type, type, (
% 53.37/33.56 constB54: state_type)).
% 53.37/33.56 tff(constB88_type, type, (
% 53.37/33.56 constB88: state_type)).
% 53.37/33.56 tff(constB12_type, type, (
% 53.37/33.56 constB12: state_type)).
% 53.37/33.56 tff(constB118_type, type, (
% 53.37/33.56 constB118: state_type)).
% 53.37/33.56 tff(constB76_type, type, (
% 53.37/33.56 constB76: state_type)).
% 53.37/33.56 tff(constB162_type, type, (
% 53.37/33.56 constB162: state_type)).
% 53.37/33.56 tff(constB130_type, type, (
% 53.37/33.56 constB130: state_type)).
% 53.37/33.56 tff(constB152_type, type, (
% 53.37/33.56 constB152: state_type)).
% 53.37/33.56 tff(constB98_type, type, (
% 53.37/33.56 constB98: state_type)).
% 53.37/33.56 tff(constB70_type, type, (
% 53.37/33.56 constB70: state_type)).
% 53.37/33.56 tff(constB4_type, type, (
% 53.37/33.56 constB4: state_type)).
% 53.37/33.56 tff(constB104_type, type, (
% 53.37/33.56 constB104: state_type)).
% 53.37/33.56 tff(constB80_type, type, (
% 53.37/33.56 constB80: state_type)).
% 53.37/33.56 tff(constB114_type, type, (
% 53.37/33.56 constB114: state_type)).
% 53.37/33.56 tff(constB128_type, type, (
% 53.37/33.56 constB128: state_type)).
% 53.37/33.56 tff(constB122_type, type, (
% 53.37/33.56 constB122: state_type)).
% 53.37/33.56 tff(constB84_type, type, (
% 53.37/33.56 constB84: state_type)).
% 53.37/33.56 tff(constB68_type, type, (
% 53.37/33.56 constB68: state_type)).
% 53.37/33.56 tff(constB40_type, type, (
% 53.37/33.56 constB40: state_type)).
% 53.37/33.56 tff(constB146_type, type, (
% 53.37/33.56 constB146: state_type)).
% 53.37/33.56 tff(constB186_type, type, (
% 53.37/33.56 constB186: state_type)).
% 53.37/33.56 tff(constB18_type, type, (
% 53.37/33.56 constB18: state_type)).
% 53.37/33.56 tff(constB170_type, type, (
% 53.37/33.56 constB170: state_type)).
% 53.37/33.56 tff(constB60_type, type, (
% 53.37/33.56 constB60: state_type)).
% 53.37/33.56 tff(constB198_type, type, (
% 53.37/33.56 constB198: state_type)).
% 53.37/33.56 tff(constB26_type, type, (
% 53.37/33.56 constB26: state_type)).
% 53.37/33.56 tff(constB22_type, type, (
% 53.37/33.56 constB22: state_type)).
% 53.37/33.56 tff(constB182_type, type, (
% 53.37/33.56 constB182: state_type)).
% 53.37/33.56 tff(constB20_type, type, (
% 53.37/33.56 constB20: state_type)).
% 53.37/33.56 tff(constB124_type, type, (
% 53.37/33.56 constB124: state_type)).
% 53.37/33.56 tff(constB94_type, type, (
% 53.37/33.56 constB94: state_type)).
% 53.37/33.56 tff(constB112_type, type, (
% 53.37/33.56 constB112: state_type)).
% 53.37/33.56 tff(constB42_type, type, (
% 53.37/33.56 constB42: state_type)).
% 53.37/33.56 tff(constB96_type, type, (
% 53.37/33.56 constB96: state_type)).
% 53.37/33.56 tff(constB64_type, type, (
% 53.37/33.56 constB64: state_type)).
% 53.37/33.56 tff(constB90_type, type, (
% 53.37/33.56 constB90: state_type)).
% 53.37/33.56 tff(constB30_type, type, (
% 53.37/33.56 constB30: state_type)).
% 53.37/33.56 tff(constB6_type, type, (
% 53.37/33.56 constB6: state_type)).
% 53.37/33.56 tff(constB174_type, type, (
% 53.37/33.56 constB174: state_type)).
% 53.37/33.56 tff(constB24_type, type, (
% 53.37/33.56 constB24: state_type)).
% 53.37/33.56 tff(constB46_type, type, (
% 53.37/33.56 constB46: state_type)).
% 53.37/33.56 tff(constB134_type, type, (
% 53.37/33.56 constB134: state_type)).
% 53.37/33.56 tff(constB62_type, type, (
% 53.37/33.56 constB62: state_type)).
% 53.37/33.56 tff(constB178_type, type, (
% 53.37/33.56 constB178: state_type)).
% 53.37/33.56 tff(constB28_type, type, (
% 53.37/33.56 constB28: state_type)).
% 53.37/33.56 tff(constB34_type, type, (
% 53.37/33.56 constB34: state_type)).
% 53.37/33.56 tff(constB116_type, type, (
% 53.37/33.56 constB116: state_type)).
% 53.37/33.56 tff(constB110_type, type, (
% 53.37/33.56 constB110: state_type)).
% 53.37/33.56 tff(constB156_type, type, (
% 53.37/33.56 constB156: state_type)).
% 53.37/33.56 tff(constB188_type, type, (
% 53.37/33.56 constB188: state_type)).
% 53.37/33.56 tff(v180_type, type, (
% 53.37/33.56 v180: state_type > $o)).
% 53.37/33.56 tff(constB3_type, type, (
% 53.37/33.56 constB3: state_type)).
% 53.37/33.56 tff(v178_type, type, (
% 53.37/33.56 v178: state_type > $o)).
% 53.37/33.56 tff(constB72_type, type, (
% 53.37/33.56 constB72: state_type)).
% 53.37/33.56 tff(v181_type, type, (
% 53.37/33.56 v181: state_type > $o)).
% 53.37/33.56 tff(constB71_type, type, (
% 53.37/33.56 constB71: state_type)).
% 53.37/33.56 tff(v185_type, type, (
% 53.37/33.56 v185: state_type > $o)).
% 53.37/33.56 tff(v187_type, type, (
% 53.37/33.56 v187: state_type > $o)).
% 53.37/33.56 tff(v162_type, type, (
% 53.37/33.56 v162: state_type > $o)).
% 53.37/33.56 tff(v169_type, type, (
% 53.37/33.56 v169: state_type > $o)).
% 53.37/33.56 tff(v170_type, type, (
% 53.37/33.56 v170: state_type > $o)).
% 53.37/33.56 tff(v140_type, type, (
% 53.37/33.56 v140: state_type > $o)).
% 53.37/33.56 tff(v88_type, type, (
% 53.37/33.56 v88: ( state_type * $int ) > $o)).
% 53.37/33.56 tff(v90_type, type, (
% 53.37/33.56 v90: ( state_type * $int ) > $o)).
% 53.37/33.56 tff(v100_type, type, (
% 53.37/33.56 v100: state_type > $o)).
% 53.37/33.56 tff(v110_type, type, (
% 53.37/33.56 v110: state_type > $o)).
% 53.37/33.56 tff(v108_type, type, (
% 53.37/33.56 v108: state_type > $o)).
% 53.37/33.56 tff(constB69_type, type, (
% 53.37/33.56 constB69: state_type)).
% 53.37/33.56 tff(v112_type, type, (
% 53.37/33.56 v112: state_type > $o)).
% 53.37/33.56 tff(v113_type, type, (
% 53.37/33.56 v113: state_type > $o)).
% 53.37/33.56 tff(v114_type, type, (
% 53.37/33.56 v114: state_type > $o)).
% 53.37/33.56 tff(v115_type, type, (
% 53.37/33.56 v115: state_type > $o)).
% 53.37/33.56 tff(v123_type, type, (
% 53.37/33.56 v123: state_type > $o)).
% 53.37/33.56 tff(constB67_type, type, (
% 53.37/33.56 constB67: state_type)).
% 53.37/33.56 tff(v116_type, type, (
% 53.37/33.56 v116: state_type > $o)).
% 53.37/33.56 tff(v122_type, type, (
% 53.37/33.56 v122: state_type > $o)).
% 53.37/33.56 tff(constB66_type, type, (
% 53.37/33.56 constB66: state_type)).
% 53.37/33.56 tff(constB65_type, type, (
% 53.37/33.56 constB65: state_type)).
% 53.37/33.56 tff(constB63_type, type, (
% 53.37/33.56 constB63: state_type)).
% 53.37/33.56 tff(v117_type, type, (
% 53.37/33.56 v117: state_type > $o)).
% 53.37/33.56 tff(v118_type, type, (
% 53.37/33.56 v118: state_type > $o)).
% 53.37/33.56 tff(v120_type, type, (
% 53.37/33.56 v120: state_type > $o)).
% 53.37/33.56 tff(constB61_type, type, (
% 53.37/33.56 constB61: state_type)).
% 53.37/33.56 tff(v125_type, type, (
% 53.37/33.56 v125: state_type > $o)).
% 53.37/33.56 tff(constB59_type, type, (
% 53.37/33.56 constB59: state_type)).
% 53.37/33.56 tff(v124_type, type, (
% 53.37/33.56 v124: state_type > $o)).
% 53.37/33.56 tff(constB57_type, type, (
% 53.37/33.56 constB57: state_type)).
% 53.37/33.56 tff(constB56_type, type, (
% 53.37/33.56 constB56: state_type)).
% 53.37/33.56 tff(constB55_type, type, (
% 53.37/33.56 constB55: state_type)).
% 53.37/33.56 tff(constB53_type, type, (
% 53.37/33.56 constB53: state_type)).
% 53.37/33.56 tff(v121_type, type, (
% 53.37/33.56 v121: state_type > $o)).
% 53.37/33.56 tff(constB51_type, type, (
% 53.37/33.56 constB51: state_type)).
% 53.37/33.56 tff(constB50_type, type, (
% 53.37/33.56 constB50: state_type)).
% 53.37/33.56 tff(v129_type, type, (
% 53.37/33.56 v129: ( state_type * $int ) > $o)).
% 53.37/33.56 tff(v127_type, type, (
% 53.37/33.56 v127: ( state_type * $int ) > $o)).
% 53.37/33.56 tff(constB49_type, type, (
% 53.37/33.56 constB49: state_type)).
% 53.37/33.56 tff(v130_type, type, (
% 53.37/33.56 v130: ( state_type * $int ) > $o)).
% 53.37/33.56 tff(constB48_type, type, (
% 53.37/33.56 constB48: state_type)).
% 53.37/33.56 tff(constB47_type, type, (
% 53.37/33.56 constB47: state_type)).
% 53.37/33.56 tff(constB45_type, type, (
% 53.37/33.56 constB45: state_type)).
% 53.37/33.56 tff(constB44_type, type, (
% 53.37/33.56 constB44: state_type)).
% 53.37/33.56 tff(constB43_type, type, (
% 53.37/33.56 constB43: state_type)).
% 53.37/33.56 tff(constB41_type, type, (
% 53.37/33.56 constB41: state_type)).
% 53.37/33.56 tff(constB39_type, type, (
% 53.37/33.56 constB39: state_type)).
% 53.37/33.56 tff(constB38_type, type, (
% 53.37/33.56 constB38: state_type)).
% 53.37/33.56 tff(constB37_type, type, (
% 53.37/33.56 constB37: state_type)).
% 53.37/33.56 tff(constB36_type, type, (
% 53.37/33.56 constB36: state_type)).
% 53.37/33.56 tff(constB35_type, type, (
% 53.37/33.56 constB35: state_type)).
% 53.37/33.56 tff(constB33_type, type, (
% 53.37/33.56 constB33: state_type)).
% 53.37/33.56 tff(constB32_type, type, (
% 53.37/33.56 constB32: state_type)).
% 53.37/33.56 tff(constB31_type, type, (
% 53.37/33.56 constB31: state_type)).
% 53.37/33.56 tff(constB29_type, type, (
% 53.37/33.56 constB29: state_type)).
% 53.37/33.56 tff(constB27_type, type, (
% 53.37/33.56 constB27: state_type)).
% 53.37/33.56 tff(constB25_type, type, (
% 53.37/33.56 constB25: state_type)).
% 53.37/33.56 tff(constB23_type, type, (
% 53.37/33.56 constB23: state_type)).
% 53.37/33.56 tff(constB21_type, type, (
% 53.37/33.56 constB21: state_type)).
% 53.37/33.56 tff(constB19_type, type, (
% 53.37/33.56 constB19: state_type)).
% 53.37/33.56 tff(constB17_type, type, (
% 53.37/33.56 constB17: state_type)).
% 53.37/33.56 tff(v26_type, type, (
% 53.37/33.56 v26: state_type > $o)).
% 53.37/33.56 tff(constB15_type, type, (
% 53.37/33.56 constB15: state_type)).
% 53.37/33.56 tff(constB16_type, type, (
% 53.37/33.56 constB16: state_type)).
% 53.37/33.56 tff(constB14_type, type, (
% 53.37/33.56 constB14: state_type)).
% 53.37/33.56 tff(constB13_type, type, (
% 53.37/33.56 constB13: state_type)).
% 53.37/33.56 tff(constB11_type, type, (
% 53.37/33.56 constB11: state_type)).
% 53.37/33.56 tff(constB10_type, type, (
% 53.37/33.56 constB10: state_type)).
% 53.37/33.56 tff(constB9_type, type, (
% 53.37/33.56 constB9: state_type)).
% 53.37/33.56 tff(constB7_type, type, (
% 53.37/33.56 constB7: state_type)).
% 53.37/33.56 tff(constB5_type, type, (
% 53.37/33.56 constB5: state_type)).
% 53.37/33.56 tff(constB2_type, type, (
% 53.37/33.56 constB2: state_type)).
% 53.37/33.56 tff(constB1_type, type, (
% 53.37/33.56 constB1: state_type)).
% 53.37/33.56 tff(v119_type, type, (
% 53.37/33.56 v119: state_type > $o)).
% 53.37/33.56 tff(v101_type, type, (
% 53.37/33.56 v101: state_type > $o)).
% 53.37/33.56 tff(nextState_type, type, (
% 53.37/33.56 nextState: ( state_type * state_type ) > $o)).
% 53.37/33.56 tff(constB0_type, type, (
% 53.37/33.56 constB0: state_type)).
% 53.37/33.56 tff(v102_type, type, (
% 53.37/33.56 v102: state_type > $o)).
% 53.37/33.56 tff(v104_type, type, (
% 53.37/33.56 v104: state_type > $o)).
% 53.37/33.56 tff(v139_type, type, (
% 53.37/33.56 v139: state_type > $o)).
% 53.37/33.56 tff(v141_type, type, (
% 53.37/33.56 v141: state_type > $o)).
% 53.37/33.56 tff(v165_type, type, (
% 53.37/33.56 v165: state_type > $o)).
% 53.37/33.56 tff(v145_type, type, (
% 53.37/33.56 v145: state_type > $o)).
% 53.37/33.56 tff(v147_type, type, (
% 53.37/33.56 v147: state_type > $o)).
% 53.37/33.56 tff(v146_type, type, (
% 53.37/33.56 v146: state_type > $o)).
% 53.37/33.56 tff(v183_type, type, (
% 53.37/33.56 v183: state_type > $o)).
% 53.37/33.56 tff(v9_type, type, (
% 53.37/33.56 v9: state_type > $o)).
% 53.37/33.56 tff(v13_type, type, (
% 53.37/33.56 v13: state_type > $o)).
% 53.37/33.56 tff(v19_type, type, (
% 53.37/33.56 v19: state_type > $o)).
% 53.37/33.56 tff(v18_type, type, (
% 53.37/33.56 v18: state_type > $o)).
% 53.37/33.56 tff(v22_type, type, (
% 53.37/33.56 v22: state_type > $o)).
% 53.37/33.56 tff(constB151_type, type, (
% 53.37/33.56 constB151: state_type)).
% 53.37/33.56 tff(constB150_type, type, (
% 53.37/33.56 constB150: state_type)).
% 53.37/33.56 tff(constB149_type, type, (
% 53.37/33.56 constB149: state_type)).
% 53.37/33.56 tff(v166_type, type, (
% 53.37/33.56 v166: state_type > $o)).
% 53.37/33.56 tff(v142_type, type, (
% 53.37/33.56 v142: state_type > $o)).
% 53.37/33.56 tff(v143_type, type, (
% 53.37/33.56 v143: state_type > $o)).
% 53.37/33.56 tff(constB147_type, type, (
% 53.37/33.56 constB147: state_type)).
% 53.37/33.56 tff(constB145_type, type, (
% 53.37/33.56 constB145: state_type)).
% 53.37/33.56 tff(constB144_type, type, (
% 53.37/33.56 constB144: state_type)).
% 53.37/33.56 tff(constB143_type, type, (
% 53.37/33.56 constB143: state_type)).
% 53.37/33.56 tff(constB142_type, type, (
% 53.37/33.56 constB142: state_type)).
% 53.37/33.56 tff(constB141_type, type, (
% 53.37/33.56 constB141: state_type)).
% 53.37/33.56 tff(constB140_type, type, (
% 53.37/33.56 constB140: state_type)).
% 53.37/33.56 tff(constB139_type, type, (
% 53.37/33.56 constB139: state_type)).
% 53.37/33.56 tff(constB137_type, type, (
% 53.37/33.56 constB137: state_type)).
% 53.37/33.56 tff(constB135_type, type, (
% 53.37/33.56 constB135: state_type)).
% 53.40/33.56 tff(constB133_type, type, (
% 53.40/33.56 constB133: state_type)).
% 53.40/33.56 tff(constB131_type, type, (
% 53.40/33.56 constB131: state_type)).
% 53.40/33.56 tff(constB129_type, type, (
% 53.40/33.56 constB129: state_type)).
% 53.40/33.56 tff(constB127_type, type, (
% 53.40/33.56 constB127: state_type)).
% 53.40/33.56 tff(constB125_type, type, (
% 53.40/33.56 constB125: state_type)).
% 53.40/33.56 tff(constB123_type, type, (
% 53.40/33.56 constB123: state_type)).
% 53.40/33.56 tff(constB121_type, type, (
% 53.40/33.56 constB121: state_type)).
% 53.40/33.56 tff(constB120_type, type, (
% 53.40/33.56 constB120: state_type)).
% 53.40/33.56 tff(constB119_type, type, (
% 53.40/33.56 constB119: state_type)).
% 53.40/33.56 tff(constB117_type, type, (
% 53.40/33.56 constB117: state_type)).
% 53.40/33.56 tff(constB115_type, type, (
% 53.40/33.56 constB115: state_type)).
% 53.40/33.56 tff(constB113_type, type, (
% 53.40/33.56 constB113: state_type)).
% 53.40/33.56 tff(constB111_type, type, (
% 53.40/33.56 constB111: state_type)).
% 53.40/33.56 tff(constB107_type, type, (
% 53.40/33.56 constB107: state_type)).
% 53.40/33.56 tff(constB105_type, type, (
% 53.40/33.56 constB105: state_type)).
% 53.40/33.56 tff(constB103_type, type, (
% 53.40/33.56 constB103: state_type)).
% 53.40/33.56 tff(constB102_type, type, (
% 53.40/33.56 constB102: state_type)).
% 53.40/33.56 tff(constB101_type, type, (
% 53.40/33.56 constB101: state_type)).
% 53.40/33.56 tff(constB100_type, type, (
% 53.40/33.56 constB100: state_type)).
% 53.40/33.56 tff(constB99_type, type, (
% 53.40/33.56 constB99: state_type)).
% 53.40/33.56 tff(constB97_type, type, (
% 53.40/33.56 constB97: state_type)).
% 53.40/33.56 tff(constB93_type, type, (
% 53.40/33.56 constB93: state_type)).
% 53.40/33.56 tff(constB91_type, type, (
% 53.40/33.56 constB91: state_type)).
% 53.40/33.56 tff(constB89_type, type, (
% 53.40/33.56 constB89: state_type)).
% 53.40/33.56 tff(constB85_type, type, (
% 53.40/33.56 constB85: state_type)).
% 53.40/33.56 tff(constB83_type, type, (
% 53.40/33.56 constB83: state_type)).
% 53.40/33.56 tff(constB82_type, type, (
% 53.40/33.56 constB82: state_type)).
% 53.40/33.56 tff(constB81_type, type, (
% 53.40/33.56 constB81: state_type)).
% 53.40/33.56 tff(constB79_type, type, (
% 53.40/33.56 constB79: state_type)).
% 53.40/33.56 tff(constB75_type, type, (
% 53.40/33.56 constB75: state_type)).
% 53.40/33.56 tff(constB74_type, type, (
% 53.40/33.56 constB74: state_type)).
% 53.40/33.56 tff(constB78_type, type, (
% 53.40/33.56 constB78: state_type)).
% 53.40/33.56 tff(constB77_type, type, (
% 53.40/33.56 constB77: state_type)).
% 53.40/33.56 tff(constB87_type, type, (
% 53.40/33.56 constB87: state_type)).
% 53.40/33.56 tff(constB86_type, type, (
% 53.40/33.56 constB86: state_type)).
% 53.40/33.56 tff(constB92_type, type, (
% 53.40/33.56 constB92: state_type)).
% 53.40/33.56 tff(constB109_type, type, (
% 53.40/33.56 constB109: state_type)).
% 53.40/33.56 tff(constB108_type, type, (
% 53.40/33.56 constB108: state_type)).
% 53.40/33.56 tff(constB136_type, type, (
% 53.40/33.56 constB136: state_type)).
% 53.40/33.56 tff(v167_type, type, (
% 53.40/33.56 v167: state_type > $o)).
% 53.40/33.56 tff(v148_type, type, (
% 53.40/33.56 v148: state_type > $o)).
% 53.40/33.56 tff(v144_type, type, (
% 53.40/33.56 v144: state_type > $o)).
% 53.40/33.56 tff(constB173_type, type, (
% 53.40/33.56 constB173: state_type)).
% 53.40/33.56 tff(constB171_type, type, (
% 53.40/33.56 constB171: state_type)).
% 53.40/33.56 tff(constB169_type, type, (
% 53.40/33.56 constB169: state_type)).
% 53.40/33.56 tff(constB168_type, type, (
% 53.40/33.56 constB168: state_type)).
% 53.40/33.56 tff(constB167_type, type, (
% 53.40/33.56 constB167: state_type)).
% 53.40/33.56 tff(constB166_type, type, (
% 53.40/33.56 constB166: state_type)).
% 53.40/33.56 tff(constB165_type, type, (
% 53.40/33.56 constB165: state_type)).
% 53.40/33.56 tff(constB163_type, type, (
% 53.40/33.56 constB163: state_type)).
% 53.40/33.56 tff(constB159_type, type, (
% 53.40/33.56 constB159: state_type)).
% 53.40/33.56 tff(constB158_type, type, (
% 53.40/33.56 constB158: state_type)).
% 53.40/33.56 tff(constB155_type, type, (
% 53.40/33.56 constB155: state_type)).
% 53.40/33.56 tff(constB153_type, type, (
% 53.40/33.56 constB153: state_type)).
% 53.40/33.56 tff(constB157_type, type, (
% 53.40/33.56 constB157: state_type)).
% 53.40/33.56 tff(constB161_type, type, (
% 53.40/33.56 constB161: state_type)).
% 53.40/33.56 tff(constB160_type, type, (
% 53.40/33.56 constB160: state_type)).
% 53.40/33.56 tff(constB193_type, type, (
% 53.40/33.56 constB193: state_type)).
% 53.40/33.56 tff(constB192_type, type, (
% 53.40/33.56 constB192: state_type)).
% 53.40/33.56 tff(constB191_type, type, (
% 53.40/33.56 constB191: state_type)).
% 53.40/33.56 tff(constB190_type, type, (
% 53.40/33.56 constB190: state_type)).
% 53.40/33.56 tff(constB189_type, type, (
% 53.40/33.56 constB189: state_type)).
% 53.40/33.56 tff(constB187_type, type, (
% 53.40/33.56 constB187: state_type)).
% 53.40/33.56 tff(constB185_type, type, (
% 53.40/33.56 constB185: state_type)).
% 53.40/33.56 tff(constB184_type, type, (
% 53.40/33.56 constB184: state_type)).
% 53.40/33.56 tff(constB183_type, type, (
% 53.40/33.56 constB183: state_type)).
% 53.40/33.56 tff(constB181_type, type, (
% 53.40/33.56 constB181: state_type)).
% 53.40/33.56 tff(constB180_type, type, (
% 53.40/33.56 constB180: state_type)).
% 53.40/33.56 tff(constB179_type, type, (
% 53.40/33.56 constB179: state_type)).
% 53.40/33.56 tff(constB177_type, type, (
% 53.40/33.56 constB177: state_type)).
% 53.40/33.56 tff(constB175_type, type, (
% 53.40/33.56 constB175: state_type)).
% 53.40/33.56 tff(v194_type, type, (
% 53.40/33.56 v194: state_type > $o)).
% 53.40/33.56 tff(v197_type, type, (
% 53.40/33.56 v197: state_type > $o)).
% 53.40/33.56 tff(v198_type, type, (
% 53.40/33.56 v198: state_type > $o)).
% 53.40/33.56 tff(v199_type, type, (
% 53.40/33.56 v199: state_type > $o)).
% 53.40/33.56 tff(v200_type, type, (
% 53.40/33.56 v200: state_type > $o)).
% 53.40/33.56 tff(v66_type, type, (
% 53.40/33.56 v66: state_type > $o)).
% 53.40/33.56 tff(v60_type, type, (
% 53.40/33.56 v60: state_type > $o)).
% 53.40/33.56 tff(v74_type, type, (
% 53.40/33.56 v74: state_type > $o)).
% 53.40/33.56 tff(v72_type, type, (
% 53.40/33.56 v72: state_type > $o)).
% 53.40/33.56 tff(v71_type, type, (
% 53.40/33.56 v71: state_type > $o)).
% 53.40/33.56 tff(v76_type, type, (
% 53.40/33.56 v76: state_type > $o)).
% 53.40/33.56 tff(v80_type, type, (
% 53.40/33.56 v80: state_type > $o)).
% 53.40/33.56 tff(v78_type, type, (
% 53.40/33.56 v78: state_type > $o)).
% 53.40/33.56 tff(v64_type, type, (
% 53.40/33.56 v64: state_type > $o)).
% 53.40/33.56 tff(constB195_type, type, (
% 53.40/33.56 constB195: state_type)).
% 53.40/33.56 tff(constB199_type, type, (
% 53.40/33.56 constB199: state_type)).
% 53.40/33.56 tff(constB197_type, type, (
% 53.40/33.56 constB197: state_type)).
% 53.40/33.56 tff(constB196_type, type, (
% 53.40/33.56 constB196: state_type)).
% 53.40/33.56 tff(reachableState_type, type, (
% 53.40/33.56 reachableState: state_type > $o)).
% 53.40/33.56 tff(1,assumption,(~v196(sK_VarCurr)), introduced(assumption)).
% 53.40/33.56 tff(2,assumption,(v209(sK_VarCurr)), introduced(assumption)).
% 53.40/33.56 tff(3,plain,
% 53.40/33.56 (^[VarCurr: state_type] : refl((v196(VarCurr) | (~v209(VarCurr))) <=> (v196(VarCurr) | (~v209(VarCurr))))),
% 53.40/33.56 inference(bind,[status(th)],[])).
% 53.40/33.56 tff(4,plain,
% 53.40/33.56 (![VarCurr: state_type] : (v196(VarCurr) | (~v209(VarCurr))) <=> ![VarCurr: state_type] : (v196(VarCurr) | (~v209(VarCurr)))),
% 53.40/33.56 inference(quant_intro,[status(thm)],[3])).
% 53.40/33.56 tff(5,plain,
% 53.40/33.56 (![VarCurr: state_type] : (v196(VarCurr) | (~v209(VarCurr))) <=> ![VarCurr: state_type] : (v196(VarCurr) | (~v209(VarCurr)))),
% 53.40/33.56 inference(rewrite,[status(thm)],[])).
% 53.40/33.56 tff(6,plain,
% 53.40/33.56 (^[VarCurr: state_type] : rewrite(((~v209(VarCurr)) | v196(VarCurr)) <=> (v196(VarCurr) | (~v209(VarCurr))))),
% 53.40/33.56 inference(bind,[status(th)],[])).
% 53.40/33.56 tff(7,plain,
% 53.40/33.56 (![VarCurr: state_type] : ((~v209(VarCurr)) | v196(VarCurr)) <=> ![VarCurr: state_type] : (v196(VarCurr) | (~v209(VarCurr)))),
% 53.40/33.56 inference(quant_intro,[status(thm)],[6])).
% 53.40/33.56 tff(8,axiom,(![VarCurr: state_type] : ((~v209(VarCurr)) | v196(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_57_1_1_1_2')).
% 53.40/33.56 tff(9,plain,
% 53.40/33.56 (![VarCurr: state_type] : (v196(VarCurr) | (~v209(VarCurr)))),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[8, 7])).
% 53.40/33.56 tff(10,plain,
% 53.40/33.56 (![VarCurr: state_type] : (v196(VarCurr) | (~v209(VarCurr)))),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[9, 5])).
% 53.40/33.56 tff(11,plain,(
% 53.40/33.56 ![VarCurr: state_type] : (v196(VarCurr) | (~v209(VarCurr)))),
% 53.40/33.56 inference(skolemize,[status(sab)],[10])).
% 53.40/33.56 tff(12,plain,
% 53.40/33.56 (![VarCurr: state_type] : (v196(VarCurr) | (~v209(VarCurr)))),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[11, 4])).
% 53.40/33.56 tff(13,plain,
% 53.40/33.56 (((~![VarCurr: state_type] : (v196(VarCurr) | (~v209(VarCurr)))) | (v196(sK_VarCurr) | (~v209(sK_VarCurr)))) <=> ((~![VarCurr: state_type] : (v196(VarCurr) | (~v209(VarCurr)))) | v196(sK_VarCurr) | (~v209(sK_VarCurr)))),
% 53.40/33.56 inference(rewrite,[status(thm)],[])).
% 53.40/33.56 tff(14,plain,
% 53.40/33.56 ((~![VarCurr: state_type] : (v196(VarCurr) | (~v209(VarCurr)))) | (v196(sK_VarCurr) | (~v209(sK_VarCurr)))),
% 53.40/33.56 inference(quant_inst,[status(thm)],[])).
% 53.40/33.56 tff(15,plain,
% 53.40/33.56 ((~![VarCurr: state_type] : (v196(VarCurr) | (~v209(VarCurr)))) | v196(sK_VarCurr) | (~v209(sK_VarCurr))),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[14, 13])).
% 53.40/33.56 tff(16,plain,
% 53.40/33.56 ($false),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[15, 12, 2, 1])).
% 53.40/33.56 tff(17,plain,((~v209(sK_VarCurr)) | v196(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.56 tff(18,plain,
% 53.40/33.56 (~v209(sK_VarCurr)),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[17, 1])).
% 53.40/33.56 tff(19,plain,
% 53.40/33.56 (v204(sK_VarCurr) <=> v204(sK_VarCurr)),
% 53.40/33.56 inference(rewrite,[status(thm)],[])).
% 53.40/33.56 tff(20,axiom,(v204(sK_VarCurr)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssertion_1_1_1')).
% 53.40/33.56 tff(21,plain,
% 53.40/33.56 (v204(sK_VarCurr)),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[20, 19])).
% 53.40/33.56 tff(22,plain,
% 53.40/33.56 (^[VarCurr: state_type] : refl((v205(VarCurr) | v209(VarCurr) | (~v204(VarCurr))) <=> (v205(VarCurr) | v209(VarCurr) | (~v204(VarCurr))))),
% 53.40/33.56 inference(bind,[status(th)],[])).
% 53.40/33.56 tff(23,plain,
% 53.40/33.56 (![VarCurr: state_type] : (v205(VarCurr) | v209(VarCurr) | (~v204(VarCurr))) <=> ![VarCurr: state_type] : (v205(VarCurr) | v209(VarCurr) | (~v204(VarCurr)))),
% 53.40/33.56 inference(quant_intro,[status(thm)],[22])).
% 53.40/33.56 tff(24,plain,
% 53.40/33.56 (![VarCurr: state_type] : (v205(VarCurr) | v209(VarCurr) | (~v204(VarCurr))) <=> ![VarCurr: state_type] : (v205(VarCurr) | v209(VarCurr) | (~v204(VarCurr)))),
% 53.40/33.56 inference(rewrite,[status(thm)],[])).
% 53.40/33.56 tff(25,plain,
% 53.40/33.56 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v204(VarCurr)) | v205(VarCurr)) <=> (v205(VarCurr) | (~v204(VarCurr)))), ((((~v204(VarCurr)) | v205(VarCurr)) | v209(VarCurr)) <=> ((v205(VarCurr) | (~v204(VarCurr))) | v209(VarCurr)))), rewrite(((v205(VarCurr) | (~v204(VarCurr))) | v209(VarCurr)) <=> (v205(VarCurr) | v209(VarCurr) | (~v204(VarCurr)))), ((((~v204(VarCurr)) | v205(VarCurr)) | v209(VarCurr)) <=> (v205(VarCurr) | v209(VarCurr) | (~v204(VarCurr)))))),
% 53.40/33.56 inference(bind,[status(th)],[])).
% 53.40/33.56 tff(26,plain,
% 53.40/33.56 (![VarCurr: state_type] : (((~v204(VarCurr)) | v205(VarCurr)) | v209(VarCurr)) <=> ![VarCurr: state_type] : (v205(VarCurr) | v209(VarCurr) | (~v204(VarCurr)))),
% 53.40/33.56 inference(quant_intro,[status(thm)],[25])).
% 53.40/33.56 tff(27,axiom,(![VarCurr: state_type] : (((~v204(VarCurr)) | v205(VarCurr)) | v209(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_58_1_1_1')).
% 53.40/33.56 tff(28,plain,
% 53.40/33.56 (![VarCurr: state_type] : (v205(VarCurr) | v209(VarCurr) | (~v204(VarCurr)))),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[27, 26])).
% 53.40/33.56 tff(29,plain,
% 53.40/33.56 (![VarCurr: state_type] : (v205(VarCurr) | v209(VarCurr) | (~v204(VarCurr)))),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[28, 24])).
% 53.40/33.56 tff(30,plain,(
% 53.40/33.56 ![VarCurr: state_type] : (v205(VarCurr) | v209(VarCurr) | (~v204(VarCurr)))),
% 53.40/33.56 inference(skolemize,[status(sab)],[29])).
% 53.40/33.56 tff(31,plain,
% 53.40/33.56 (![VarCurr: state_type] : (v205(VarCurr) | v209(VarCurr) | (~v204(VarCurr)))),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[30, 23])).
% 53.40/33.56 tff(32,plain,
% 53.40/33.56 (((~![VarCurr: state_type] : (v205(VarCurr) | v209(VarCurr) | (~v204(VarCurr)))) | (v205(sK_VarCurr) | v209(sK_VarCurr) | (~v204(sK_VarCurr)))) <=> ((~![VarCurr: state_type] : (v205(VarCurr) | v209(VarCurr) | (~v204(VarCurr)))) | v205(sK_VarCurr) | v209(sK_VarCurr) | (~v204(sK_VarCurr)))),
% 53.40/33.56 inference(rewrite,[status(thm)],[])).
% 53.40/33.56 tff(33,plain,
% 53.40/33.56 ((~![VarCurr: state_type] : (v205(VarCurr) | v209(VarCurr) | (~v204(VarCurr)))) | (v205(sK_VarCurr) | v209(sK_VarCurr) | (~v204(sK_VarCurr)))),
% 53.40/33.56 inference(quant_inst,[status(thm)],[])).
% 53.40/33.56 tff(34,plain,
% 53.40/33.56 ((~![VarCurr: state_type] : (v205(VarCurr) | v209(VarCurr) | (~v204(VarCurr)))) | v205(sK_VarCurr) | v209(sK_VarCurr) | (~v204(sK_VarCurr))),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[33, 32])).
% 53.40/33.56 tff(35,plain,
% 53.40/33.56 (v205(sK_VarCurr) | v209(sK_VarCurr)),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[34, 31, 21])).
% 53.40/33.56 tff(36,plain,
% 53.40/33.56 (v205(sK_VarCurr)),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[35, 18])).
% 53.40/33.56 tff(37,plain,
% 53.40/33.56 (^[VarCurr: state_type] : refl((v206(VarCurr) | (~v205(VarCurr))) <=> (v206(VarCurr) | (~v205(VarCurr))))),
% 53.40/33.56 inference(bind,[status(th)],[])).
% 53.40/33.56 tff(38,plain,
% 53.40/33.56 (![VarCurr: state_type] : (v206(VarCurr) | (~v205(VarCurr))) <=> ![VarCurr: state_type] : (v206(VarCurr) | (~v205(VarCurr)))),
% 53.40/33.56 inference(quant_intro,[status(thm)],[37])).
% 53.40/33.56 tff(39,plain,
% 53.40/33.56 (![VarCurr: state_type] : (v206(VarCurr) | (~v205(VarCurr))) <=> ![VarCurr: state_type] : (v206(VarCurr) | (~v205(VarCurr)))),
% 53.40/33.56 inference(rewrite,[status(thm)],[])).
% 53.40/33.56 tff(40,plain,
% 53.40/33.56 (^[VarCurr: state_type] : rewrite(((~v205(VarCurr)) | v206(VarCurr)) <=> (v206(VarCurr) | (~v205(VarCurr))))),
% 53.40/33.56 inference(bind,[status(th)],[])).
% 53.40/33.56 tff(41,plain,
% 53.40/33.56 (![VarCurr: state_type] : ((~v205(VarCurr)) | v206(VarCurr)) <=> ![VarCurr: state_type] : (v206(VarCurr) | (~v205(VarCurr)))),
% 53.40/33.56 inference(quant_intro,[status(thm)],[40])).
% 53.40/33.56 tff(42,axiom,(![VarCurr: state_type] : ((~v205(VarCurr)) | v206(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_56_1_1_1_1')).
% 53.40/33.56 tff(43,plain,
% 53.40/33.56 (![VarCurr: state_type] : (v206(VarCurr) | (~v205(VarCurr)))),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[42, 41])).
% 53.40/33.56 tff(44,plain,
% 53.40/33.56 (![VarCurr: state_type] : (v206(VarCurr) | (~v205(VarCurr)))),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[43, 39])).
% 53.40/33.56 tff(45,plain,(
% 53.40/33.56 ![VarCurr: state_type] : (v206(VarCurr) | (~v205(VarCurr)))),
% 53.40/33.56 inference(skolemize,[status(sab)],[44])).
% 53.40/33.56 tff(46,plain,
% 53.40/33.56 (![VarCurr: state_type] : (v206(VarCurr) | (~v205(VarCurr)))),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[45, 38])).
% 53.40/33.56 tff(47,plain,
% 53.40/33.56 (((~![VarCurr: state_type] : (v206(VarCurr) | (~v205(VarCurr)))) | (v206(sK_VarCurr) | (~v205(sK_VarCurr)))) <=> ((~![VarCurr: state_type] : (v206(VarCurr) | (~v205(VarCurr)))) | v206(sK_VarCurr) | (~v205(sK_VarCurr)))),
% 53.40/33.56 inference(rewrite,[status(thm)],[])).
% 53.40/33.56 tff(48,plain,
% 53.40/33.56 ((~![VarCurr: state_type] : (v206(VarCurr) | (~v205(VarCurr)))) | (v206(sK_VarCurr) | (~v205(sK_VarCurr)))),
% 53.40/33.56 inference(quant_inst,[status(thm)],[])).
% 53.40/33.56 tff(49,plain,
% 53.40/33.56 ((~![VarCurr: state_type] : (v206(VarCurr) | (~v205(VarCurr)))) | v206(sK_VarCurr) | (~v205(sK_VarCurr))),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[48, 47])).
% 53.40/33.56 tff(50,plain,
% 53.40/33.56 (v206(sK_VarCurr)),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[49, 46, 36])).
% 53.40/33.56 tff(51,plain,
% 53.40/33.56 (^[VarCurr: state_type] : refl((v207(VarCurr) | (~v206(VarCurr))) <=> (v207(VarCurr) | (~v206(VarCurr))))),
% 53.40/33.56 inference(bind,[status(th)],[])).
% 53.40/33.56 tff(52,plain,
% 53.40/33.56 (![VarCurr: state_type] : (v207(VarCurr) | (~v206(VarCurr))) <=> ![VarCurr: state_type] : (v207(VarCurr) | (~v206(VarCurr)))),
% 53.40/33.56 inference(quant_intro,[status(thm)],[51])).
% 53.40/33.56 tff(53,plain,
% 53.40/33.56 (![VarCurr: state_type] : (v207(VarCurr) | (~v206(VarCurr))) <=> ![VarCurr: state_type] : (v207(VarCurr) | (~v206(VarCurr)))),
% 53.40/33.56 inference(rewrite,[status(thm)],[])).
% 53.40/33.56 tff(54,plain,
% 53.40/33.56 (^[VarCurr: state_type] : rewrite(((~v206(VarCurr)) | v207(VarCurr)) <=> (v207(VarCurr) | (~v206(VarCurr))))),
% 53.40/33.56 inference(bind,[status(th)],[])).
% 53.40/33.56 tff(55,plain,
% 53.40/33.56 (![VarCurr: state_type] : ((~v206(VarCurr)) | v207(VarCurr)) <=> ![VarCurr: state_type] : (v207(VarCurr) | (~v206(VarCurr)))),
% 53.40/33.56 inference(quant_intro,[status(thm)],[54])).
% 53.40/33.56 tff(56,axiom,(![VarCurr: state_type] : ((~v206(VarCurr)) | v207(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_55_1_1_1_1')).
% 53.40/33.56 tff(57,plain,
% 53.40/33.56 (![VarCurr: state_type] : (v207(VarCurr) | (~v206(VarCurr)))),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[56, 55])).
% 53.40/33.56 tff(58,plain,
% 53.40/33.56 (![VarCurr: state_type] : (v207(VarCurr) | (~v206(VarCurr)))),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[57, 53])).
% 53.40/33.56 tff(59,plain,(
% 53.40/33.56 ![VarCurr: state_type] : (v207(VarCurr) | (~v206(VarCurr)))),
% 53.40/33.56 inference(skolemize,[status(sab)],[58])).
% 53.40/33.56 tff(60,plain,
% 53.40/33.56 (![VarCurr: state_type] : (v207(VarCurr) | (~v206(VarCurr)))),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[59, 52])).
% 53.40/33.56 tff(61,plain,
% 53.40/33.56 (((~![VarCurr: state_type] : (v207(VarCurr) | (~v206(VarCurr)))) | (v207(sK_VarCurr) | (~v206(sK_VarCurr)))) <=> ((~![VarCurr: state_type] : (v207(VarCurr) | (~v206(VarCurr)))) | v207(sK_VarCurr) | (~v206(sK_VarCurr)))),
% 53.40/33.56 inference(rewrite,[status(thm)],[])).
% 53.40/33.56 tff(62,plain,
% 53.40/33.56 ((~![VarCurr: state_type] : (v207(VarCurr) | (~v206(VarCurr)))) | (v207(sK_VarCurr) | (~v206(sK_VarCurr)))),
% 53.40/33.56 inference(quant_inst,[status(thm)],[])).
% 53.40/33.56 tff(63,plain,
% 53.40/33.56 ((~![VarCurr: state_type] : (v207(VarCurr) | (~v206(VarCurr)))) | v207(sK_VarCurr) | (~v206(sK_VarCurr))),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[62, 61])).
% 53.40/33.56 tff(64,plain,
% 53.40/33.56 (v207(sK_VarCurr)),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[63, 60, 50])).
% 53.40/33.56 tff(65,plain,
% 53.40/33.56 (^[VarCurr: state_type] : refl((v184(VarCurr) | (~v207(VarCurr))) <=> (v184(VarCurr) | (~v207(VarCurr))))),
% 53.40/33.56 inference(bind,[status(th)],[])).
% 53.40/33.56 tff(66,plain,
% 53.40/33.56 (![VarCurr: state_type] : (v184(VarCurr) | (~v207(VarCurr))) <=> ![VarCurr: state_type] : (v184(VarCurr) | (~v207(VarCurr)))),
% 53.40/33.56 inference(quant_intro,[status(thm)],[65])).
% 53.40/33.56 tff(67,plain,
% 53.40/33.56 (![VarCurr: state_type] : (v184(VarCurr) | (~v207(VarCurr))) <=> ![VarCurr: state_type] : (v184(VarCurr) | (~v207(VarCurr)))),
% 53.40/33.56 inference(rewrite,[status(thm)],[])).
% 53.40/33.56 tff(68,plain,
% 53.40/33.56 (^[VarCurr: state_type] : rewrite(((~v207(VarCurr)) | v184(VarCurr)) <=> (v184(VarCurr) | (~v207(VarCurr))))),
% 53.40/33.56 inference(bind,[status(th)],[])).
% 53.40/33.56 tff(69,plain,
% 53.40/33.56 (![VarCurr: state_type] : ((~v207(VarCurr)) | v184(VarCurr)) <=> ![VarCurr: state_type] : (v184(VarCurr) | (~v207(VarCurr)))),
% 53.40/33.56 inference(quant_intro,[status(thm)],[68])).
% 53.40/33.56 tff(70,axiom,(![VarCurr: state_type] : ((~v207(VarCurr)) | v184(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_54_1_1_1_1')).
% 53.40/33.56 tff(71,plain,
% 53.40/33.56 (![VarCurr: state_type] : (v184(VarCurr) | (~v207(VarCurr)))),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[70, 69])).
% 53.40/33.56 tff(72,plain,
% 53.40/33.56 (![VarCurr: state_type] : (v184(VarCurr) | (~v207(VarCurr)))),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[71, 67])).
% 53.40/33.56 tff(73,plain,(
% 53.40/33.56 ![VarCurr: state_type] : (v184(VarCurr) | (~v207(VarCurr)))),
% 53.40/33.56 inference(skolemize,[status(sab)],[72])).
% 53.40/33.56 tff(74,plain,
% 53.40/33.56 (![VarCurr: state_type] : (v184(VarCurr) | (~v207(VarCurr)))),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[73, 66])).
% 53.40/33.56 tff(75,plain,
% 53.40/33.56 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v207(VarCurr)))) | (v184(sK_VarCurr) | (~v207(sK_VarCurr)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v207(VarCurr)))) | v184(sK_VarCurr) | (~v207(sK_VarCurr)))),
% 53.40/33.56 inference(rewrite,[status(thm)],[])).
% 53.40/33.56 tff(76,plain,
% 53.40/33.56 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v207(VarCurr)))) | (v184(sK_VarCurr) | (~v207(sK_VarCurr)))),
% 53.40/33.56 inference(quant_inst,[status(thm)],[])).
% 53.40/33.56 tff(77,plain,
% 53.40/33.56 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v207(VarCurr)))) | v184(sK_VarCurr) | (~v207(sK_VarCurr))),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[76, 75])).
% 53.40/33.56 tff(78,plain,
% 53.40/33.56 (v184(sK_VarCurr)),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[77, 74, 64])).
% 53.40/33.56 tff(79,plain,
% 53.40/33.56 (^[VarCurr: state_type] : refl(((~v1(VarCurr)) | (~v184(VarCurr))) <=> ((~v1(VarCurr)) | (~v184(VarCurr))))),
% 53.40/33.56 inference(bind,[status(th)],[])).
% 53.40/33.56 tff(80,plain,
% 53.40/33.56 (![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr))) <=> ![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))),
% 53.40/33.56 inference(quant_intro,[status(thm)],[79])).
% 53.40/33.56 tff(81,plain,
% 53.40/33.56 (![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr))) <=> ![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))),
% 53.40/33.56 inference(rewrite,[status(thm)],[])).
% 53.40/33.56 tff(82,plain,
% 53.40/33.56 (^[VarCurr: state_type] : rewrite(((~v184(VarCurr)) | (~v1(VarCurr))) <=> ((~v1(VarCurr)) | (~v184(VarCurr))))),
% 53.40/33.56 inference(bind,[status(th)],[])).
% 53.40/33.56 tff(83,plain,
% 53.40/33.56 (![VarCurr: state_type] : ((~v184(VarCurr)) | (~v1(VarCurr))) <=> ![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))),
% 53.40/33.56 inference(quant_intro,[status(thm)],[82])).
% 53.40/33.56 tff(84,axiom,(![VarCurr: state_type] : ((~v184(VarCurr)) | (~v1(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_43_1_1_2')).
% 53.40/33.56 tff(85,plain,
% 53.40/33.56 (![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[84, 83])).
% 53.40/33.56 tff(86,plain,
% 53.40/33.56 (![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[85, 81])).
% 53.40/33.56 tff(87,plain,(
% 53.40/33.56 ![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))),
% 53.40/33.56 inference(skolemize,[status(sab)],[86])).
% 53.40/33.56 tff(88,plain,
% 53.40/33.56 (![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[87, 80])).
% 53.40/33.56 tff(89,plain,
% 53.40/33.56 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(sK_VarCurr)) | (~v184(sK_VarCurr)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(sK_VarCurr)) | (~v184(sK_VarCurr)))),
% 53.40/33.56 inference(rewrite,[status(thm)],[])).
% 53.40/33.56 tff(90,plain,
% 53.40/33.56 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(sK_VarCurr)) | (~v184(sK_VarCurr)))),
% 53.40/33.56 inference(quant_inst,[status(thm)],[])).
% 53.40/33.56 tff(91,plain,
% 53.40/33.56 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(sK_VarCurr)) | (~v184(sK_VarCurr))),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[90, 89])).
% 53.40/33.56 tff(92,plain,
% 53.40/33.56 (~v1(sK_VarCurr)),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[91, 88, 78])).
% 53.40/33.56 tff(93,assumption,(constB126 = sK_VarCurr), introduced(assumption)).
% 53.40/33.56 tff(94,plain,
% 53.40/33.56 (v1(constB126) <=> v1(sK_VarCurr)),
% 53.40/33.56 inference(monotonicity,[status(thm)],[93])).
% 53.40/33.56 tff(95,plain,
% 53.40/33.56 (v1(sK_VarCurr) <=> v1(constB126)),
% 53.40/33.56 inference(symmetry,[status(thm)],[94])).
% 53.40/33.56 tff(96,plain,
% 53.40/33.56 ((~v1(sK_VarCurr)) <=> (~v1(constB126))),
% 53.40/33.56 inference(monotonicity,[status(thm)],[95])).
% 53.40/33.56 tff(97,assumption,(~v1(sK_VarCurr)), introduced(assumption)).
% 53.40/33.56 tff(98,plain,
% 53.40/33.56 (~v1(constB126)),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[97, 96])).
% 53.40/33.56 tff(99,plain,
% 53.40/33.56 (v1(constB126) <=> v1(constB126)),
% 53.40/33.56 inference(rewrite,[status(thm)],[])).
% 53.40/33.56 tff(100,axiom,(v1(constB126)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_126_1')).
% 53.40/33.56 tff(101,plain,
% 53.40/33.56 (v1(constB126)),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[100, 99])).
% 53.40/33.56 tff(102,plain,
% 53.40/33.56 ($false),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[101, 98])).
% 53.40/33.56 tff(103,plain,((~(constB126 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.56 tff(104,plain,
% 53.40/33.56 (~(constB126 = sK_VarCurr)),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[103, 92])).
% 53.40/33.56 tff(105,assumption,(constB132 = sK_VarCurr), introduced(assumption)).
% 53.40/33.56 tff(106,plain,
% 53.40/33.56 (v1(constB132) <=> v1(sK_VarCurr)),
% 53.40/33.56 inference(monotonicity,[status(thm)],[105])).
% 53.40/33.56 tff(107,plain,
% 53.40/33.56 (v1(sK_VarCurr) <=> v1(constB132)),
% 53.40/33.56 inference(symmetry,[status(thm)],[106])).
% 53.40/33.56 tff(108,plain,
% 53.40/33.56 ((~v1(sK_VarCurr)) <=> (~v1(constB132))),
% 53.40/33.56 inference(monotonicity,[status(thm)],[107])).
% 53.40/33.56 tff(109,plain,
% 53.40/33.56 (~v1(constB132)),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[97, 108])).
% 53.40/33.56 tff(110,plain,
% 53.40/33.56 (v1(constB132) <=> v1(constB132)),
% 53.40/33.56 inference(rewrite,[status(thm)],[])).
% 53.40/33.56 tff(111,axiom,(v1(constB132)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_132_1')).
% 53.40/33.56 tff(112,plain,
% 53.40/33.56 (v1(constB132)),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[111, 110])).
% 53.40/33.56 tff(113,plain,
% 53.40/33.56 ($false),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[112, 109])).
% 53.40/33.56 tff(114,plain,((~(constB132 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.56 tff(115,plain,
% 53.40/33.56 (~(constB132 = sK_VarCurr)),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[114, 92])).
% 53.40/33.56 tff(116,assumption,(constB58 = sK_VarCurr), introduced(assumption)).
% 53.40/33.56 tff(117,plain,
% 53.40/33.56 (v1(constB58) <=> v1(sK_VarCurr)),
% 53.40/33.56 inference(monotonicity,[status(thm)],[116])).
% 53.40/33.56 tff(118,plain,
% 53.40/33.56 (v1(sK_VarCurr) <=> v1(constB58)),
% 53.40/33.56 inference(symmetry,[status(thm)],[117])).
% 53.40/33.56 tff(119,plain,
% 53.40/33.56 ((~v1(sK_VarCurr)) <=> (~v1(constB58))),
% 53.40/33.56 inference(monotonicity,[status(thm)],[118])).
% 53.40/33.56 tff(120,plain,
% 53.40/33.56 (~v1(constB58)),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[97, 119])).
% 53.40/33.56 tff(121,plain,
% 53.40/33.56 (v1(constB58) <=> v1(constB58)),
% 53.40/33.56 inference(rewrite,[status(thm)],[])).
% 53.40/33.56 tff(122,axiom,(v1(constB58)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_58_1')).
% 53.40/33.56 tff(123,plain,
% 53.40/33.56 (v1(constB58)),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[122, 121])).
% 53.40/33.56 tff(124,plain,
% 53.40/33.56 ($false),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[123, 120])).
% 53.40/33.56 tff(125,plain,((~(constB58 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.56 tff(126,plain,
% 53.40/33.56 (~(constB58 = sK_VarCurr)),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[125, 92])).
% 53.40/33.56 tff(127,assumption,(constB154 = sK_VarCurr), introduced(assumption)).
% 53.40/33.56 tff(128,plain,
% 53.40/33.56 (v1(constB154) <=> v1(sK_VarCurr)),
% 53.40/33.56 inference(monotonicity,[status(thm)],[127])).
% 53.40/33.56 tff(129,plain,
% 53.40/33.56 (v1(sK_VarCurr) <=> v1(constB154)),
% 53.40/33.56 inference(symmetry,[status(thm)],[128])).
% 53.40/33.56 tff(130,plain,
% 53.40/33.56 ((~v1(sK_VarCurr)) <=> (~v1(constB154))),
% 53.40/33.56 inference(monotonicity,[status(thm)],[129])).
% 53.40/33.56 tff(131,plain,
% 53.40/33.56 (~v1(constB154)),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[97, 130])).
% 53.40/33.56 tff(132,plain,
% 53.40/33.56 (v1(constB154) <=> v1(constB154)),
% 53.40/33.56 inference(rewrite,[status(thm)],[])).
% 53.40/33.56 tff(133,axiom,(v1(constB154)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_154_1')).
% 53.40/33.56 tff(134,plain,
% 53.40/33.56 (v1(constB154)),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[133, 132])).
% 53.40/33.56 tff(135,plain,
% 53.40/33.56 ($false),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[134, 131])).
% 53.40/33.56 tff(136,plain,((~(constB154 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.56 tff(137,plain,
% 53.40/33.56 (~(constB154 = sK_VarCurr)),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[136, 92])).
% 53.40/33.56 tff(138,assumption,(constB8 = sK_VarCurr), introduced(assumption)).
% 53.40/33.56 tff(139,plain,
% 53.40/33.56 (v1(constB8) <=> v1(sK_VarCurr)),
% 53.40/33.56 inference(monotonicity,[status(thm)],[138])).
% 53.40/33.56 tff(140,plain,
% 53.40/33.56 (v1(sK_VarCurr) <=> v1(constB8)),
% 53.40/33.56 inference(symmetry,[status(thm)],[139])).
% 53.40/33.56 tff(141,plain,
% 53.40/33.56 ((~v1(sK_VarCurr)) <=> (~v1(constB8))),
% 53.40/33.56 inference(monotonicity,[status(thm)],[140])).
% 53.40/33.56 tff(142,plain,
% 53.40/33.56 (~v1(constB8)),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[97, 141])).
% 53.40/33.56 tff(143,plain,
% 53.40/33.56 (v1(constB8) <=> v1(constB8)),
% 53.40/33.56 inference(rewrite,[status(thm)],[])).
% 53.40/33.56 tff(144,axiom,(v1(constB8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_8_1')).
% 53.40/33.56 tff(145,plain,
% 53.40/33.56 (v1(constB8)),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[144, 143])).
% 53.40/33.56 tff(146,plain,
% 53.40/33.56 ($false),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[145, 142])).
% 53.40/33.56 tff(147,plain,((~(constB8 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.56 tff(148,plain,
% 53.40/33.56 (~(constB8 = sK_VarCurr)),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[147, 92])).
% 53.40/33.56 tff(149,assumption,(constB200 = sK_VarCurr), introduced(assumption)).
% 53.40/33.56 tff(150,plain,
% 53.40/33.56 (v1(constB200) <=> v1(sK_VarCurr)),
% 53.40/33.56 inference(monotonicity,[status(thm)],[149])).
% 53.40/33.56 tff(151,plain,
% 53.40/33.56 (v1(sK_VarCurr) <=> v1(constB200)),
% 53.40/33.56 inference(symmetry,[status(thm)],[150])).
% 53.40/33.56 tff(152,plain,
% 53.40/33.56 ((~v1(sK_VarCurr)) <=> (~v1(constB200))),
% 53.40/33.56 inference(monotonicity,[status(thm)],[151])).
% 53.40/33.56 tff(153,plain,
% 53.40/33.56 (~v1(constB200)),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[97, 152])).
% 53.40/33.56 tff(154,plain,
% 53.40/33.56 (v1(constB200) <=> v1(constB200)),
% 53.40/33.56 inference(rewrite,[status(thm)],[])).
% 53.40/33.56 tff(155,axiom,(v1(constB200)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_200_1')).
% 53.40/33.56 tff(156,plain,
% 53.40/33.56 (v1(constB200)),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[155, 154])).
% 53.40/33.56 tff(157,plain,
% 53.40/33.56 ($false),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[156, 153])).
% 53.40/33.56 tff(158,plain,((~(constB200 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.56 tff(159,plain,
% 53.40/33.56 (~(constB200 = sK_VarCurr)),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[158, 92])).
% 53.40/33.56 tff(160,assumption,(constB138 = sK_VarCurr), introduced(assumption)).
% 53.40/33.56 tff(161,plain,
% 53.40/33.56 (v1(constB138) <=> v1(sK_VarCurr)),
% 53.40/33.56 inference(monotonicity,[status(thm)],[160])).
% 53.40/33.56 tff(162,plain,
% 53.40/33.56 (v1(sK_VarCurr) <=> v1(constB138)),
% 53.40/33.56 inference(symmetry,[status(thm)],[161])).
% 53.40/33.56 tff(163,plain,
% 53.40/33.56 ((~v1(sK_VarCurr)) <=> (~v1(constB138))),
% 53.40/33.56 inference(monotonicity,[status(thm)],[162])).
% 53.40/33.56 tff(164,plain,
% 53.40/33.56 (~v1(constB138)),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[97, 163])).
% 53.40/33.56 tff(165,plain,
% 53.40/33.56 (v1(constB138) <=> v1(constB138)),
% 53.40/33.56 inference(rewrite,[status(thm)],[])).
% 53.40/33.56 tff(166,axiom,(v1(constB138)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_138_1')).
% 53.40/33.56 tff(167,plain,
% 53.40/33.56 (v1(constB138)),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[166, 165])).
% 53.40/33.56 tff(168,plain,
% 53.40/33.56 ($false),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[167, 164])).
% 53.40/33.56 tff(169,plain,((~(constB138 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.56 tff(170,plain,
% 53.40/33.56 (~(constB138 = sK_VarCurr)),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[169, 92])).
% 53.40/33.56 tff(171,assumption,(constB148 = sK_VarCurr), introduced(assumption)).
% 53.40/33.56 tff(172,plain,
% 53.40/33.56 (v1(constB148) <=> v1(sK_VarCurr)),
% 53.40/33.56 inference(monotonicity,[status(thm)],[171])).
% 53.40/33.56 tff(173,plain,
% 53.40/33.56 (v1(sK_VarCurr) <=> v1(constB148)),
% 53.40/33.56 inference(symmetry,[status(thm)],[172])).
% 53.40/33.56 tff(174,plain,
% 53.40/33.56 ((~v1(sK_VarCurr)) <=> (~v1(constB148))),
% 53.40/33.56 inference(monotonicity,[status(thm)],[173])).
% 53.40/33.56 tff(175,plain,
% 53.40/33.56 (~v1(constB148)),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[97, 174])).
% 53.40/33.56 tff(176,plain,
% 53.40/33.56 (v1(constB148) <=> v1(constB148)),
% 53.40/33.56 inference(rewrite,[status(thm)],[])).
% 53.40/33.56 tff(177,axiom,(v1(constB148)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_148_1')).
% 53.40/33.56 tff(178,plain,
% 53.40/33.56 (v1(constB148)),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[177, 176])).
% 53.40/33.56 tff(179,plain,
% 53.40/33.56 ($false),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[178, 175])).
% 53.40/33.56 tff(180,plain,((~(constB148 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.56 tff(181,plain,
% 53.40/33.56 (~(constB148 = sK_VarCurr)),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[180, 92])).
% 53.40/33.56 tff(182,assumption,(constB172 = sK_VarCurr), introduced(assumption)).
% 53.40/33.56 tff(183,plain,
% 53.40/33.56 (v1(constB172) <=> v1(sK_VarCurr)),
% 53.40/33.56 inference(monotonicity,[status(thm)],[182])).
% 53.40/33.56 tff(184,plain,
% 53.40/33.56 (v1(sK_VarCurr) <=> v1(constB172)),
% 53.40/33.56 inference(symmetry,[status(thm)],[183])).
% 53.40/33.56 tff(185,plain,
% 53.40/33.56 ((~v1(sK_VarCurr)) <=> (~v1(constB172))),
% 53.40/33.56 inference(monotonicity,[status(thm)],[184])).
% 53.40/33.56 tff(186,plain,
% 53.40/33.56 (~v1(constB172)),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[97, 185])).
% 53.40/33.56 tff(187,plain,
% 53.40/33.56 (v1(constB172) <=> v1(constB172)),
% 53.40/33.56 inference(rewrite,[status(thm)],[])).
% 53.40/33.56 tff(188,axiom,(v1(constB172)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_172_1')).
% 53.40/33.56 tff(189,plain,
% 53.40/33.56 (v1(constB172)),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[188, 187])).
% 53.40/33.56 tff(190,plain,
% 53.40/33.56 ($false),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[189, 186])).
% 53.40/33.56 tff(191,plain,((~(constB172 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.56 tff(192,plain,
% 53.40/33.56 (~(constB172 = sK_VarCurr)),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[191, 92])).
% 53.40/33.56 tff(193,assumption,(constB106 = sK_VarCurr), introduced(assumption)).
% 53.40/33.56 tff(194,plain,
% 53.40/33.56 (v1(constB106) <=> v1(sK_VarCurr)),
% 53.40/33.56 inference(monotonicity,[status(thm)],[193])).
% 53.40/33.56 tff(195,plain,
% 53.40/33.56 (v1(sK_VarCurr) <=> v1(constB106)),
% 53.40/33.56 inference(symmetry,[status(thm)],[194])).
% 53.40/33.56 tff(196,plain,
% 53.40/33.56 ((~v1(sK_VarCurr)) <=> (~v1(constB106))),
% 53.40/33.56 inference(monotonicity,[status(thm)],[195])).
% 53.40/33.56 tff(197,plain,
% 53.40/33.56 (~v1(constB106)),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[97, 196])).
% 53.40/33.56 tff(198,plain,
% 53.40/33.56 (v1(constB106) <=> v1(constB106)),
% 53.40/33.56 inference(rewrite,[status(thm)],[])).
% 53.40/33.56 tff(199,axiom,(v1(constB106)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_106_1')).
% 53.40/33.56 tff(200,plain,
% 53.40/33.56 (v1(constB106)),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[199, 198])).
% 53.40/33.56 tff(201,plain,
% 53.40/33.56 ($false),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[200, 197])).
% 53.40/33.56 tff(202,plain,((~(constB106 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.56 tff(203,plain,
% 53.40/33.56 (~(constB106 = sK_VarCurr)),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[202, 92])).
% 53.40/33.56 tff(204,assumption,(constB176 = sK_VarCurr), introduced(assumption)).
% 53.40/33.56 tff(205,plain,
% 53.40/33.56 (v1(constB176) <=> v1(sK_VarCurr)),
% 53.40/33.56 inference(monotonicity,[status(thm)],[204])).
% 53.40/33.56 tff(206,plain,
% 53.40/33.56 (v1(sK_VarCurr) <=> v1(constB176)),
% 53.40/33.56 inference(symmetry,[status(thm)],[205])).
% 53.40/33.56 tff(207,plain,
% 53.40/33.56 ((~v1(sK_VarCurr)) <=> (~v1(constB176))),
% 53.40/33.56 inference(monotonicity,[status(thm)],[206])).
% 53.40/33.56 tff(208,plain,
% 53.40/33.56 (~v1(constB176)),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[97, 207])).
% 53.40/33.56 tff(209,plain,
% 53.40/33.56 (v1(constB176) <=> v1(constB176)),
% 53.40/33.56 inference(rewrite,[status(thm)],[])).
% 53.40/33.56 tff(210,axiom,(v1(constB176)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_176_1')).
% 53.40/33.56 tff(211,plain,
% 53.40/33.56 (v1(constB176)),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[210, 209])).
% 53.40/33.56 tff(212,plain,
% 53.40/33.56 ($false),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[211, 208])).
% 53.40/33.56 tff(213,plain,((~(constB176 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.56 tff(214,plain,
% 53.40/33.56 (~(constB176 = sK_VarCurr)),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[213, 92])).
% 53.40/33.56 tff(215,assumption,(constB194 = sK_VarCurr), introduced(assumption)).
% 53.40/33.56 tff(216,plain,
% 53.40/33.56 (v1(constB194) <=> v1(sK_VarCurr)),
% 53.40/33.56 inference(monotonicity,[status(thm)],[215])).
% 53.40/33.56 tff(217,plain,
% 53.40/33.56 (v1(sK_VarCurr) <=> v1(constB194)),
% 53.40/33.56 inference(symmetry,[status(thm)],[216])).
% 53.40/33.56 tff(218,plain,
% 53.40/33.56 ((~v1(sK_VarCurr)) <=> (~v1(constB194))),
% 53.40/33.56 inference(monotonicity,[status(thm)],[217])).
% 53.40/33.56 tff(219,plain,
% 53.40/33.56 (~v1(constB194)),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[97, 218])).
% 53.40/33.56 tff(220,plain,
% 53.40/33.56 (v1(constB194) <=> v1(constB194)),
% 53.40/33.56 inference(rewrite,[status(thm)],[])).
% 53.40/33.56 tff(221,axiom,(v1(constB194)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_194_1')).
% 53.40/33.56 tff(222,plain,
% 53.40/33.56 (v1(constB194)),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[221, 220])).
% 53.40/33.56 tff(223,plain,
% 53.40/33.56 ($false),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[222, 219])).
% 53.40/33.56 tff(224,plain,((~(constB194 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.56 tff(225,plain,
% 53.40/33.56 (~(constB194 = sK_VarCurr)),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[224, 92])).
% 53.40/33.56 tff(226,assumption,(constB52 = sK_VarCurr), introduced(assumption)).
% 53.40/33.56 tff(227,plain,
% 53.40/33.56 (v1(constB52) <=> v1(sK_VarCurr)),
% 53.40/33.56 inference(monotonicity,[status(thm)],[226])).
% 53.40/33.56 tff(228,plain,
% 53.40/33.56 (v1(sK_VarCurr) <=> v1(constB52)),
% 53.40/33.56 inference(symmetry,[status(thm)],[227])).
% 53.40/33.56 tff(229,plain,
% 53.40/33.56 ((~v1(sK_VarCurr)) <=> (~v1(constB52))),
% 53.40/33.56 inference(monotonicity,[status(thm)],[228])).
% 53.40/33.56 tff(230,plain,
% 53.40/33.56 (~v1(constB52)),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[97, 229])).
% 53.40/33.56 tff(231,plain,
% 53.40/33.56 (v1(constB52) <=> v1(constB52)),
% 53.40/33.56 inference(rewrite,[status(thm)],[])).
% 53.40/33.56 tff(232,axiom,(v1(constB52)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_52_1')).
% 53.40/33.56 tff(233,plain,
% 53.40/33.56 (v1(constB52)),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[232, 231])).
% 53.40/33.56 tff(234,plain,
% 53.40/33.56 ($false),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[233, 230])).
% 53.40/33.56 tff(235,plain,((~(constB52 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.56 tff(236,plain,
% 53.40/33.56 (~(constB52 = sK_VarCurr)),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[235, 92])).
% 53.40/33.56 tff(237,assumption,(constB164 = sK_VarCurr), introduced(assumption)).
% 53.40/33.56 tff(238,plain,
% 53.40/33.56 (v1(constB164) <=> v1(sK_VarCurr)),
% 53.40/33.56 inference(monotonicity,[status(thm)],[237])).
% 53.40/33.56 tff(239,plain,
% 53.40/33.56 (v1(sK_VarCurr) <=> v1(constB164)),
% 53.40/33.56 inference(symmetry,[status(thm)],[238])).
% 53.40/33.56 tff(240,plain,
% 53.40/33.56 ((~v1(sK_VarCurr)) <=> (~v1(constB164))),
% 53.40/33.56 inference(monotonicity,[status(thm)],[239])).
% 53.40/33.56 tff(241,plain,
% 53.40/33.56 (~v1(constB164)),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[97, 240])).
% 53.40/33.56 tff(242,plain,
% 53.40/33.56 (v1(constB164) <=> v1(constB164)),
% 53.40/33.56 inference(rewrite,[status(thm)],[])).
% 53.40/33.56 tff(243,axiom,(v1(constB164)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_164_1')).
% 53.40/33.56 tff(244,plain,
% 53.40/33.56 (v1(constB164)),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[243, 242])).
% 53.40/33.56 tff(245,plain,
% 53.40/33.56 ($false),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[244, 241])).
% 53.40/33.56 tff(246,plain,((~(constB164 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.56 tff(247,plain,
% 53.40/33.56 (~(constB164 = sK_VarCurr)),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[246, 92])).
% 53.40/33.56 tff(248,assumption,(constB54 = sK_VarCurr), introduced(assumption)).
% 53.40/33.56 tff(249,plain,
% 53.40/33.56 (v1(constB54) <=> v1(sK_VarCurr)),
% 53.40/33.56 inference(monotonicity,[status(thm)],[248])).
% 53.40/33.56 tff(250,plain,
% 53.40/33.56 (v1(sK_VarCurr) <=> v1(constB54)),
% 53.40/33.56 inference(symmetry,[status(thm)],[249])).
% 53.40/33.56 tff(251,plain,
% 53.40/33.56 ((~v1(sK_VarCurr)) <=> (~v1(constB54))),
% 53.40/33.56 inference(monotonicity,[status(thm)],[250])).
% 53.40/33.56 tff(252,plain,
% 53.40/33.56 (~v1(constB54)),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[97, 251])).
% 53.40/33.56 tff(253,plain,
% 53.40/33.56 (v1(constB54) <=> v1(constB54)),
% 53.40/33.56 inference(rewrite,[status(thm)],[])).
% 53.40/33.56 tff(254,axiom,(v1(constB54)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_54_1')).
% 53.40/33.56 tff(255,plain,
% 53.40/33.56 (v1(constB54)),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[254, 253])).
% 53.40/33.56 tff(256,plain,
% 53.40/33.56 ($false),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[255, 252])).
% 53.40/33.56 tff(257,plain,((~(constB54 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.56 tff(258,plain,
% 53.40/33.56 (~(constB54 = sK_VarCurr)),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[257, 92])).
% 53.40/33.56 tff(259,assumption,(constB88 = sK_VarCurr), introduced(assumption)).
% 53.40/33.56 tff(260,plain,
% 53.40/33.56 (v1(constB88) <=> v1(sK_VarCurr)),
% 53.40/33.56 inference(monotonicity,[status(thm)],[259])).
% 53.40/33.56 tff(261,plain,
% 53.40/33.56 (v1(sK_VarCurr) <=> v1(constB88)),
% 53.40/33.56 inference(symmetry,[status(thm)],[260])).
% 53.40/33.56 tff(262,plain,
% 53.40/33.56 ((~v1(sK_VarCurr)) <=> (~v1(constB88))),
% 53.40/33.56 inference(monotonicity,[status(thm)],[261])).
% 53.40/33.56 tff(263,plain,
% 53.40/33.56 (~v1(constB88)),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[97, 262])).
% 53.40/33.56 tff(264,plain,
% 53.40/33.56 (v1(constB88) <=> v1(constB88)),
% 53.40/33.56 inference(rewrite,[status(thm)],[])).
% 53.40/33.56 tff(265,axiom,(v1(constB88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_88_1')).
% 53.40/33.56 tff(266,plain,
% 53.40/33.56 (v1(constB88)),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[265, 264])).
% 53.40/33.56 tff(267,plain,
% 53.40/33.56 ($false),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[266, 263])).
% 53.40/33.56 tff(268,plain,((~(constB88 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.56 tff(269,plain,
% 53.40/33.56 (~(constB88 = sK_VarCurr)),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[268, 92])).
% 53.40/33.56 tff(270,assumption,(constB12 = sK_VarCurr), introduced(assumption)).
% 53.40/33.56 tff(271,plain,
% 53.40/33.56 (v1(constB12) <=> v1(sK_VarCurr)),
% 53.40/33.56 inference(monotonicity,[status(thm)],[270])).
% 53.40/33.56 tff(272,plain,
% 53.40/33.56 (v1(sK_VarCurr) <=> v1(constB12)),
% 53.40/33.56 inference(symmetry,[status(thm)],[271])).
% 53.40/33.56 tff(273,plain,
% 53.40/33.56 ((~v1(sK_VarCurr)) <=> (~v1(constB12))),
% 53.40/33.56 inference(monotonicity,[status(thm)],[272])).
% 53.40/33.56 tff(274,plain,
% 53.40/33.56 (~v1(constB12)),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[97, 273])).
% 53.40/33.56 tff(275,plain,
% 53.40/33.56 (v1(constB12) <=> v1(constB12)),
% 53.40/33.56 inference(rewrite,[status(thm)],[])).
% 53.40/33.56 tff(276,axiom,(v1(constB12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_12_1')).
% 53.40/33.56 tff(277,plain,
% 53.40/33.56 (v1(constB12)),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[276, 275])).
% 53.40/33.56 tff(278,plain,
% 53.40/33.56 ($false),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[277, 274])).
% 53.40/33.56 tff(279,plain,((~(constB12 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.56 tff(280,plain,
% 53.40/33.56 (~(constB12 = sK_VarCurr)),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[279, 92])).
% 53.40/33.56 tff(281,assumption,(constB118 = sK_VarCurr), introduced(assumption)).
% 53.40/33.56 tff(282,plain,
% 53.40/33.56 (v1(constB118) <=> v1(sK_VarCurr)),
% 53.40/33.56 inference(monotonicity,[status(thm)],[281])).
% 53.40/33.56 tff(283,plain,
% 53.40/33.56 (v1(sK_VarCurr) <=> v1(constB118)),
% 53.40/33.56 inference(symmetry,[status(thm)],[282])).
% 53.40/33.56 tff(284,plain,
% 53.40/33.56 ((~v1(sK_VarCurr)) <=> (~v1(constB118))),
% 53.40/33.56 inference(monotonicity,[status(thm)],[283])).
% 53.40/33.56 tff(285,plain,
% 53.40/33.56 (~v1(constB118)),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[97, 284])).
% 53.40/33.56 tff(286,plain,
% 53.40/33.56 (v1(constB118) <=> v1(constB118)),
% 53.40/33.56 inference(rewrite,[status(thm)],[])).
% 53.40/33.56 tff(287,axiom,(v1(constB118)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_118_1')).
% 53.40/33.56 tff(288,plain,
% 53.40/33.56 (v1(constB118)),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[287, 286])).
% 53.40/33.56 tff(289,plain,
% 53.40/33.56 ($false),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[288, 285])).
% 53.40/33.56 tff(290,plain,((~(constB118 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.56 tff(291,plain,
% 53.40/33.56 (~(constB118 = sK_VarCurr)),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[290, 92])).
% 53.40/33.56 tff(292,assumption,(constB76 = sK_VarCurr), introduced(assumption)).
% 53.40/33.56 tff(293,plain,
% 53.40/33.56 (v1(constB76) <=> v1(sK_VarCurr)),
% 53.40/33.56 inference(monotonicity,[status(thm)],[292])).
% 53.40/33.56 tff(294,plain,
% 53.40/33.56 (v1(sK_VarCurr) <=> v1(constB76)),
% 53.40/33.56 inference(symmetry,[status(thm)],[293])).
% 53.40/33.56 tff(295,plain,
% 53.40/33.56 ((~v1(sK_VarCurr)) <=> (~v1(constB76))),
% 53.40/33.56 inference(monotonicity,[status(thm)],[294])).
% 53.40/33.56 tff(296,plain,
% 53.40/33.56 (~v1(constB76)),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[97, 295])).
% 53.40/33.56 tff(297,plain,
% 53.40/33.56 (v1(constB76) <=> v1(constB76)),
% 53.40/33.56 inference(rewrite,[status(thm)],[])).
% 53.40/33.56 tff(298,axiom,(v1(constB76)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_76_1')).
% 53.40/33.56 tff(299,plain,
% 53.40/33.56 (v1(constB76)),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[298, 297])).
% 53.40/33.56 tff(300,plain,
% 53.40/33.56 ($false),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[299, 296])).
% 53.40/33.56 tff(301,plain,((~(constB76 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.56 tff(302,plain,
% 53.40/33.56 (~(constB76 = sK_VarCurr)),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[301, 92])).
% 53.40/33.56 tff(303,assumption,(constB162 = sK_VarCurr), introduced(assumption)).
% 53.40/33.56 tff(304,plain,
% 53.40/33.56 (v1(constB162) <=> v1(sK_VarCurr)),
% 53.40/33.56 inference(monotonicity,[status(thm)],[303])).
% 53.40/33.56 tff(305,plain,
% 53.40/33.56 (v1(sK_VarCurr) <=> v1(constB162)),
% 53.40/33.56 inference(symmetry,[status(thm)],[304])).
% 53.40/33.56 tff(306,plain,
% 53.40/33.56 ((~v1(sK_VarCurr)) <=> (~v1(constB162))),
% 53.40/33.56 inference(monotonicity,[status(thm)],[305])).
% 53.40/33.56 tff(307,plain,
% 53.40/33.56 (~v1(constB162)),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[97, 306])).
% 53.40/33.56 tff(308,plain,
% 53.40/33.56 (v1(constB162) <=> v1(constB162)),
% 53.40/33.56 inference(rewrite,[status(thm)],[])).
% 53.40/33.56 tff(309,axiom,(v1(constB162)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_162_1')).
% 53.40/33.56 tff(310,plain,
% 53.40/33.56 (v1(constB162)),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[309, 308])).
% 53.40/33.56 tff(311,plain,
% 53.40/33.56 ($false),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[310, 307])).
% 53.40/33.56 tff(312,plain,((~(constB162 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.56 tff(313,plain,
% 53.40/33.56 (~(constB162 = sK_VarCurr)),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[312, 92])).
% 53.40/33.56 tff(314,assumption,(constB130 = sK_VarCurr), introduced(assumption)).
% 53.40/33.56 tff(315,plain,
% 53.40/33.56 (v1(constB130) <=> v1(sK_VarCurr)),
% 53.40/33.56 inference(monotonicity,[status(thm)],[314])).
% 53.40/33.56 tff(316,plain,
% 53.40/33.56 (v1(sK_VarCurr) <=> v1(constB130)),
% 53.40/33.56 inference(symmetry,[status(thm)],[315])).
% 53.40/33.56 tff(317,plain,
% 53.40/33.56 ((~v1(sK_VarCurr)) <=> (~v1(constB130))),
% 53.40/33.56 inference(monotonicity,[status(thm)],[316])).
% 53.40/33.56 tff(318,plain,
% 53.40/33.56 (~v1(constB130)),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[97, 317])).
% 53.40/33.56 tff(319,plain,
% 53.40/33.56 (v1(constB130) <=> v1(constB130)),
% 53.40/33.56 inference(rewrite,[status(thm)],[])).
% 53.40/33.56 tff(320,axiom,(v1(constB130)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_130_1')).
% 53.40/33.56 tff(321,plain,
% 53.40/33.56 (v1(constB130)),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[320, 319])).
% 53.40/33.56 tff(322,plain,
% 53.40/33.56 ($false),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[321, 318])).
% 53.40/33.56 tff(323,plain,((~(constB130 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.56 tff(324,plain,
% 53.40/33.56 (~(constB130 = sK_VarCurr)),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[323, 92])).
% 53.40/33.56 tff(325,assumption,(constB152 = sK_VarCurr), introduced(assumption)).
% 53.40/33.56 tff(326,plain,
% 53.40/33.56 (v1(constB152) <=> v1(sK_VarCurr)),
% 53.40/33.56 inference(monotonicity,[status(thm)],[325])).
% 53.40/33.56 tff(327,plain,
% 53.40/33.56 (v1(sK_VarCurr) <=> v1(constB152)),
% 53.40/33.56 inference(symmetry,[status(thm)],[326])).
% 53.40/33.56 tff(328,plain,
% 53.40/33.56 ((~v1(sK_VarCurr)) <=> (~v1(constB152))),
% 53.40/33.56 inference(monotonicity,[status(thm)],[327])).
% 53.40/33.56 tff(329,plain,
% 53.40/33.56 (~v1(constB152)),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[97, 328])).
% 53.40/33.56 tff(330,plain,
% 53.40/33.56 (v1(constB152) <=> v1(constB152)),
% 53.40/33.56 inference(rewrite,[status(thm)],[])).
% 53.40/33.56 tff(331,axiom,(v1(constB152)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_152_1')).
% 53.40/33.56 tff(332,plain,
% 53.40/33.56 (v1(constB152)),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[331, 330])).
% 53.40/33.56 tff(333,plain,
% 53.40/33.56 ($false),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[332, 329])).
% 53.40/33.56 tff(334,plain,((~(constB152 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.56 tff(335,plain,
% 53.40/33.56 (~(constB152 = sK_VarCurr)),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[334, 92])).
% 53.40/33.56 tff(336,assumption,(constB98 = sK_VarCurr), introduced(assumption)).
% 53.40/33.56 tff(337,plain,
% 53.40/33.56 (v1(constB98) <=> v1(sK_VarCurr)),
% 53.40/33.56 inference(monotonicity,[status(thm)],[336])).
% 53.40/33.56 tff(338,plain,
% 53.40/33.56 (v1(sK_VarCurr) <=> v1(constB98)),
% 53.40/33.56 inference(symmetry,[status(thm)],[337])).
% 53.40/33.56 tff(339,plain,
% 53.40/33.56 ((~v1(sK_VarCurr)) <=> (~v1(constB98))),
% 53.40/33.56 inference(monotonicity,[status(thm)],[338])).
% 53.40/33.56 tff(340,plain,
% 53.40/33.56 (~v1(constB98)),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[97, 339])).
% 53.40/33.56 tff(341,plain,
% 53.40/33.56 (v1(constB98) <=> v1(constB98)),
% 53.40/33.56 inference(rewrite,[status(thm)],[])).
% 53.40/33.56 tff(342,axiom,(v1(constB98)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_98_1')).
% 53.40/33.56 tff(343,plain,
% 53.40/33.56 (v1(constB98)),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[342, 341])).
% 53.40/33.56 tff(344,plain,
% 53.40/33.56 ($false),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[343, 340])).
% 53.40/33.56 tff(345,plain,((~(constB98 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.56 tff(346,plain,
% 53.40/33.56 (~(constB98 = sK_VarCurr)),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[345, 92])).
% 53.40/33.56 tff(347,assumption,(constB70 = sK_VarCurr), introduced(assumption)).
% 53.40/33.56 tff(348,plain,
% 53.40/33.56 (v1(constB70) <=> v1(sK_VarCurr)),
% 53.40/33.56 inference(monotonicity,[status(thm)],[347])).
% 53.40/33.56 tff(349,plain,
% 53.40/33.56 (v1(sK_VarCurr) <=> v1(constB70)),
% 53.40/33.56 inference(symmetry,[status(thm)],[348])).
% 53.40/33.56 tff(350,plain,
% 53.40/33.56 ((~v1(sK_VarCurr)) <=> (~v1(constB70))),
% 53.40/33.56 inference(monotonicity,[status(thm)],[349])).
% 53.40/33.56 tff(351,plain,
% 53.40/33.56 (~v1(constB70)),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[97, 350])).
% 53.40/33.56 tff(352,plain,
% 53.40/33.56 (v1(constB70) <=> v1(constB70)),
% 53.40/33.56 inference(rewrite,[status(thm)],[])).
% 53.40/33.56 tff(353,axiom,(v1(constB70)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_70_1')).
% 53.40/33.56 tff(354,plain,
% 53.40/33.56 (v1(constB70)),
% 53.40/33.56 inference(modus_ponens,[status(thm)],[353, 352])).
% 53.40/33.56 tff(355,plain,
% 53.40/33.56 ($false),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[354, 351])).
% 53.40/33.56 tff(356,plain,((~(constB70 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.56 tff(357,plain,
% 53.40/33.56 (~(constB70 = sK_VarCurr)),
% 53.40/33.56 inference(unit_resolution,[status(thm)],[356, 92])).
% 53.40/33.57 tff(358,assumption,(constB4 = sK_VarCurr), introduced(assumption)).
% 53.40/33.57 tff(359,plain,
% 53.40/33.57 (v1(constB4) <=> v1(sK_VarCurr)),
% 53.40/33.57 inference(monotonicity,[status(thm)],[358])).
% 53.40/33.57 tff(360,plain,
% 53.40/33.57 (v1(sK_VarCurr) <=> v1(constB4)),
% 53.40/33.57 inference(symmetry,[status(thm)],[359])).
% 53.40/33.57 tff(361,plain,
% 53.40/33.57 ((~v1(sK_VarCurr)) <=> (~v1(constB4))),
% 53.40/33.57 inference(monotonicity,[status(thm)],[360])).
% 53.40/33.57 tff(362,plain,
% 53.40/33.57 (~v1(constB4)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[97, 361])).
% 53.40/33.57 tff(363,plain,
% 53.40/33.57 (v1(constB4) <=> v1(constB4)),
% 53.40/33.57 inference(rewrite,[status(thm)],[])).
% 53.40/33.57 tff(364,axiom,(v1(constB4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_4_1')).
% 53.40/33.57 tff(365,plain,
% 53.40/33.57 (v1(constB4)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[364, 363])).
% 53.40/33.57 tff(366,plain,
% 53.40/33.57 ($false),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[365, 362])).
% 53.40/33.57 tff(367,plain,((~(constB4 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.57 tff(368,plain,
% 53.40/33.57 (~(constB4 = sK_VarCurr)),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[367, 92])).
% 53.40/33.57 tff(369,assumption,(constB104 = sK_VarCurr), introduced(assumption)).
% 53.40/33.57 tff(370,plain,
% 53.40/33.57 (v1(constB104) <=> v1(sK_VarCurr)),
% 53.40/33.57 inference(monotonicity,[status(thm)],[369])).
% 53.40/33.57 tff(371,plain,
% 53.40/33.57 (v1(sK_VarCurr) <=> v1(constB104)),
% 53.40/33.57 inference(symmetry,[status(thm)],[370])).
% 53.40/33.57 tff(372,plain,
% 53.40/33.57 ((~v1(sK_VarCurr)) <=> (~v1(constB104))),
% 53.40/33.57 inference(monotonicity,[status(thm)],[371])).
% 53.40/33.57 tff(373,plain,
% 53.40/33.57 (~v1(constB104)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[97, 372])).
% 53.40/33.57 tff(374,plain,
% 53.40/33.57 (v1(constB104) <=> v1(constB104)),
% 53.40/33.57 inference(rewrite,[status(thm)],[])).
% 53.40/33.57 tff(375,axiom,(v1(constB104)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_104_1')).
% 53.40/33.57 tff(376,plain,
% 53.40/33.57 (v1(constB104)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[375, 374])).
% 53.40/33.57 tff(377,plain,
% 53.40/33.57 ($false),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[376, 373])).
% 53.40/33.57 tff(378,plain,((~(constB104 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.57 tff(379,plain,
% 53.40/33.57 (~(constB104 = sK_VarCurr)),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[378, 92])).
% 53.40/33.57 tff(380,assumption,(constB80 = sK_VarCurr), introduced(assumption)).
% 53.40/33.57 tff(381,plain,
% 53.40/33.57 (v1(constB80) <=> v1(sK_VarCurr)),
% 53.40/33.57 inference(monotonicity,[status(thm)],[380])).
% 53.40/33.57 tff(382,plain,
% 53.40/33.57 (v1(sK_VarCurr) <=> v1(constB80)),
% 53.40/33.57 inference(symmetry,[status(thm)],[381])).
% 53.40/33.57 tff(383,plain,
% 53.40/33.57 ((~v1(sK_VarCurr)) <=> (~v1(constB80))),
% 53.40/33.57 inference(monotonicity,[status(thm)],[382])).
% 53.40/33.57 tff(384,plain,
% 53.40/33.57 (~v1(constB80)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[97, 383])).
% 53.40/33.57 tff(385,plain,
% 53.40/33.57 (v1(constB80) <=> v1(constB80)),
% 53.40/33.57 inference(rewrite,[status(thm)],[])).
% 53.40/33.57 tff(386,axiom,(v1(constB80)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_80_1')).
% 53.40/33.57 tff(387,plain,
% 53.40/33.57 (v1(constB80)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[386, 385])).
% 53.40/33.57 tff(388,plain,
% 53.40/33.57 ($false),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[387, 384])).
% 53.40/33.57 tff(389,plain,((~(constB80 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.57 tff(390,plain,
% 53.40/33.57 (~(constB80 = sK_VarCurr)),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[389, 92])).
% 53.40/33.57 tff(391,assumption,(constB114 = sK_VarCurr), introduced(assumption)).
% 53.40/33.57 tff(392,plain,
% 53.40/33.57 (v1(constB114) <=> v1(sK_VarCurr)),
% 53.40/33.57 inference(monotonicity,[status(thm)],[391])).
% 53.40/33.57 tff(393,plain,
% 53.40/33.57 (v1(sK_VarCurr) <=> v1(constB114)),
% 53.40/33.57 inference(symmetry,[status(thm)],[392])).
% 53.40/33.57 tff(394,plain,
% 53.40/33.57 ((~v1(sK_VarCurr)) <=> (~v1(constB114))),
% 53.40/33.57 inference(monotonicity,[status(thm)],[393])).
% 53.40/33.57 tff(395,plain,
% 53.40/33.57 (~v1(constB114)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[97, 394])).
% 53.40/33.57 tff(396,plain,
% 53.40/33.57 (v1(constB114) <=> v1(constB114)),
% 53.40/33.57 inference(rewrite,[status(thm)],[])).
% 53.40/33.57 tff(397,axiom,(v1(constB114)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_114_1')).
% 53.40/33.57 tff(398,plain,
% 53.40/33.57 (v1(constB114)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[397, 396])).
% 53.40/33.57 tff(399,plain,
% 53.40/33.57 ($false),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[398, 395])).
% 53.40/33.57 tff(400,plain,((~(constB114 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.57 tff(401,plain,
% 53.40/33.57 (~(constB114 = sK_VarCurr)),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[400, 92])).
% 53.40/33.57 tff(402,assumption,(constB128 = sK_VarCurr), introduced(assumption)).
% 53.40/33.57 tff(403,plain,
% 53.40/33.57 (v1(constB128) <=> v1(sK_VarCurr)),
% 53.40/33.57 inference(monotonicity,[status(thm)],[402])).
% 53.40/33.57 tff(404,plain,
% 53.40/33.57 (v1(sK_VarCurr) <=> v1(constB128)),
% 53.40/33.57 inference(symmetry,[status(thm)],[403])).
% 53.40/33.57 tff(405,plain,
% 53.40/33.57 ((~v1(sK_VarCurr)) <=> (~v1(constB128))),
% 53.40/33.57 inference(monotonicity,[status(thm)],[404])).
% 53.40/33.57 tff(406,plain,
% 53.40/33.57 (~v1(constB128)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[97, 405])).
% 53.40/33.57 tff(407,plain,
% 53.40/33.57 (v1(constB128) <=> v1(constB128)),
% 53.40/33.57 inference(rewrite,[status(thm)],[])).
% 53.40/33.57 tff(408,axiom,(v1(constB128)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_128_1')).
% 53.40/33.57 tff(409,plain,
% 53.40/33.57 (v1(constB128)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[408, 407])).
% 53.40/33.57 tff(410,plain,
% 53.40/33.57 ($false),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[409, 406])).
% 53.40/33.57 tff(411,plain,((~(constB128 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.57 tff(412,plain,
% 53.40/33.57 (~(constB128 = sK_VarCurr)),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[411, 92])).
% 53.40/33.57 tff(413,assumption,(constB122 = sK_VarCurr), introduced(assumption)).
% 53.40/33.57 tff(414,plain,
% 53.40/33.57 (v1(constB122) <=> v1(sK_VarCurr)),
% 53.40/33.57 inference(monotonicity,[status(thm)],[413])).
% 53.40/33.57 tff(415,plain,
% 53.40/33.57 (v1(sK_VarCurr) <=> v1(constB122)),
% 53.40/33.57 inference(symmetry,[status(thm)],[414])).
% 53.40/33.57 tff(416,plain,
% 53.40/33.57 ((~v1(sK_VarCurr)) <=> (~v1(constB122))),
% 53.40/33.57 inference(monotonicity,[status(thm)],[415])).
% 53.40/33.57 tff(417,plain,
% 53.40/33.57 (~v1(constB122)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[97, 416])).
% 53.40/33.57 tff(418,plain,
% 53.40/33.57 (v1(constB122) <=> v1(constB122)),
% 53.40/33.57 inference(rewrite,[status(thm)],[])).
% 53.40/33.57 tff(419,axiom,(v1(constB122)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_122_1')).
% 53.40/33.57 tff(420,plain,
% 53.40/33.57 (v1(constB122)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[419, 418])).
% 53.40/33.57 tff(421,plain,
% 53.40/33.57 ($false),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[420, 417])).
% 53.40/33.57 tff(422,plain,((~(constB122 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.57 tff(423,plain,
% 53.40/33.57 (~(constB122 = sK_VarCurr)),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[422, 92])).
% 53.40/33.57 tff(424,assumption,(constB84 = sK_VarCurr), introduced(assumption)).
% 53.40/33.57 tff(425,plain,
% 53.40/33.57 (v1(constB84) <=> v1(sK_VarCurr)),
% 53.40/33.57 inference(monotonicity,[status(thm)],[424])).
% 53.40/33.57 tff(426,plain,
% 53.40/33.57 (v1(sK_VarCurr) <=> v1(constB84)),
% 53.40/33.57 inference(symmetry,[status(thm)],[425])).
% 53.40/33.57 tff(427,plain,
% 53.40/33.57 ((~v1(sK_VarCurr)) <=> (~v1(constB84))),
% 53.40/33.57 inference(monotonicity,[status(thm)],[426])).
% 53.40/33.57 tff(428,plain,
% 53.40/33.57 (~v1(constB84)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[97, 427])).
% 53.40/33.57 tff(429,plain,
% 53.40/33.57 (v1(constB84) <=> v1(constB84)),
% 53.40/33.57 inference(rewrite,[status(thm)],[])).
% 53.40/33.57 tff(430,axiom,(v1(constB84)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_84_1')).
% 53.40/33.57 tff(431,plain,
% 53.40/33.57 (v1(constB84)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[430, 429])).
% 53.40/33.57 tff(432,plain,
% 53.40/33.57 ($false),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[431, 428])).
% 53.40/33.57 tff(433,plain,((~(constB84 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.57 tff(434,plain,
% 53.40/33.57 (~(constB84 = sK_VarCurr)),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[433, 92])).
% 53.40/33.57 tff(435,assumption,(constB68 = sK_VarCurr), introduced(assumption)).
% 53.40/33.57 tff(436,plain,
% 53.40/33.57 (v1(constB68) <=> v1(sK_VarCurr)),
% 53.40/33.57 inference(monotonicity,[status(thm)],[435])).
% 53.40/33.57 tff(437,plain,
% 53.40/33.57 (v1(sK_VarCurr) <=> v1(constB68)),
% 53.40/33.57 inference(symmetry,[status(thm)],[436])).
% 53.40/33.57 tff(438,plain,
% 53.40/33.57 ((~v1(sK_VarCurr)) <=> (~v1(constB68))),
% 53.40/33.57 inference(monotonicity,[status(thm)],[437])).
% 53.40/33.57 tff(439,plain,
% 53.40/33.57 (~v1(constB68)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[97, 438])).
% 53.40/33.57 tff(440,plain,
% 53.40/33.57 (v1(constB68) <=> v1(constB68)),
% 53.40/33.57 inference(rewrite,[status(thm)],[])).
% 53.40/33.57 tff(441,axiom,(v1(constB68)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_68_1')).
% 53.40/33.57 tff(442,plain,
% 53.40/33.57 (v1(constB68)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[441, 440])).
% 53.40/33.57 tff(443,plain,
% 53.40/33.57 ($false),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[442, 439])).
% 53.40/33.57 tff(444,plain,((~(constB68 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.57 tff(445,plain,
% 53.40/33.57 (~(constB68 = sK_VarCurr)),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[444, 92])).
% 53.40/33.57 tff(446,assumption,(constB40 = sK_VarCurr), introduced(assumption)).
% 53.40/33.57 tff(447,plain,
% 53.40/33.57 (v1(constB40) <=> v1(sK_VarCurr)),
% 53.40/33.57 inference(monotonicity,[status(thm)],[446])).
% 53.40/33.57 tff(448,plain,
% 53.40/33.57 (v1(sK_VarCurr) <=> v1(constB40)),
% 53.40/33.57 inference(symmetry,[status(thm)],[447])).
% 53.40/33.57 tff(449,plain,
% 53.40/33.57 ((~v1(sK_VarCurr)) <=> (~v1(constB40))),
% 53.40/33.57 inference(monotonicity,[status(thm)],[448])).
% 53.40/33.57 tff(450,plain,
% 53.40/33.57 (~v1(constB40)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[97, 449])).
% 53.40/33.57 tff(451,plain,
% 53.40/33.57 (v1(constB40) <=> v1(constB40)),
% 53.40/33.57 inference(rewrite,[status(thm)],[])).
% 53.40/33.57 tff(452,axiom,(v1(constB40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_40_1')).
% 53.40/33.57 tff(453,plain,
% 53.40/33.57 (v1(constB40)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[452, 451])).
% 53.40/33.57 tff(454,plain,
% 53.40/33.57 ($false),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[453, 450])).
% 53.40/33.57 tff(455,plain,((~(constB40 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.57 tff(456,plain,
% 53.40/33.57 (~(constB40 = sK_VarCurr)),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[455, 92])).
% 53.40/33.57 tff(457,assumption,(constB146 = sK_VarCurr), introduced(assumption)).
% 53.40/33.57 tff(458,plain,
% 53.40/33.57 (v1(constB146) <=> v1(sK_VarCurr)),
% 53.40/33.57 inference(monotonicity,[status(thm)],[457])).
% 53.40/33.57 tff(459,plain,
% 53.40/33.57 (v1(sK_VarCurr) <=> v1(constB146)),
% 53.40/33.57 inference(symmetry,[status(thm)],[458])).
% 53.40/33.57 tff(460,plain,
% 53.40/33.57 ((~v1(sK_VarCurr)) <=> (~v1(constB146))),
% 53.40/33.57 inference(monotonicity,[status(thm)],[459])).
% 53.40/33.57 tff(461,plain,
% 53.40/33.57 (~v1(constB146)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[97, 460])).
% 53.40/33.57 tff(462,plain,
% 53.40/33.57 (v1(constB146) <=> v1(constB146)),
% 53.40/33.57 inference(rewrite,[status(thm)],[])).
% 53.40/33.57 tff(463,axiom,(v1(constB146)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_146_1')).
% 53.40/33.57 tff(464,plain,
% 53.40/33.57 (v1(constB146)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[463, 462])).
% 53.40/33.57 tff(465,plain,
% 53.40/33.57 ($false),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[464, 461])).
% 53.40/33.57 tff(466,plain,((~(constB146 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.57 tff(467,plain,
% 53.40/33.57 (~(constB146 = sK_VarCurr)),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[466, 92])).
% 53.40/33.57 tff(468,assumption,(constB186 = sK_VarCurr), introduced(assumption)).
% 53.40/33.57 tff(469,plain,
% 53.40/33.57 (v1(constB186) <=> v1(sK_VarCurr)),
% 53.40/33.57 inference(monotonicity,[status(thm)],[468])).
% 53.40/33.57 tff(470,plain,
% 53.40/33.57 (v1(sK_VarCurr) <=> v1(constB186)),
% 53.40/33.57 inference(symmetry,[status(thm)],[469])).
% 53.40/33.57 tff(471,plain,
% 53.40/33.57 ((~v1(sK_VarCurr)) <=> (~v1(constB186))),
% 53.40/33.57 inference(monotonicity,[status(thm)],[470])).
% 53.40/33.57 tff(472,plain,
% 53.40/33.57 (~v1(constB186)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[97, 471])).
% 53.40/33.57 tff(473,plain,
% 53.40/33.57 (v1(constB186) <=> v1(constB186)),
% 53.40/33.57 inference(rewrite,[status(thm)],[])).
% 53.40/33.57 tff(474,axiom,(v1(constB186)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_186_1')).
% 53.40/33.57 tff(475,plain,
% 53.40/33.57 (v1(constB186)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[474, 473])).
% 53.40/33.57 tff(476,plain,
% 53.40/33.57 ($false),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[475, 472])).
% 53.40/33.57 tff(477,plain,((~(constB186 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.57 tff(478,plain,
% 53.40/33.57 (~(constB186 = sK_VarCurr)),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[477, 92])).
% 53.40/33.57 tff(479,assumption,(constB18 = sK_VarCurr), introduced(assumption)).
% 53.40/33.57 tff(480,plain,
% 53.40/33.57 (v1(constB18) <=> v1(sK_VarCurr)),
% 53.40/33.57 inference(monotonicity,[status(thm)],[479])).
% 53.40/33.57 tff(481,plain,
% 53.40/33.57 (v1(sK_VarCurr) <=> v1(constB18)),
% 53.40/33.57 inference(symmetry,[status(thm)],[480])).
% 53.40/33.57 tff(482,plain,
% 53.40/33.57 ((~v1(sK_VarCurr)) <=> (~v1(constB18))),
% 53.40/33.57 inference(monotonicity,[status(thm)],[481])).
% 53.40/33.57 tff(483,plain,
% 53.40/33.57 (~v1(constB18)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[97, 482])).
% 53.40/33.57 tff(484,plain,
% 53.40/33.57 (v1(constB18) <=> v1(constB18)),
% 53.40/33.57 inference(rewrite,[status(thm)],[])).
% 53.40/33.57 tff(485,axiom,(v1(constB18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_18_1')).
% 53.40/33.57 tff(486,plain,
% 53.40/33.57 (v1(constB18)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[485, 484])).
% 53.40/33.57 tff(487,plain,
% 53.40/33.57 ($false),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[486, 483])).
% 53.40/33.57 tff(488,plain,((~(constB18 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.57 tff(489,plain,
% 53.40/33.57 (~(constB18 = sK_VarCurr)),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[488, 92])).
% 53.40/33.57 tff(490,assumption,(constB170 = sK_VarCurr), introduced(assumption)).
% 53.40/33.57 tff(491,plain,
% 53.40/33.57 (v1(constB170) <=> v1(sK_VarCurr)),
% 53.40/33.57 inference(monotonicity,[status(thm)],[490])).
% 53.40/33.57 tff(492,plain,
% 53.40/33.57 (v1(sK_VarCurr) <=> v1(constB170)),
% 53.40/33.57 inference(symmetry,[status(thm)],[491])).
% 53.40/33.57 tff(493,plain,
% 53.40/33.57 ((~v1(sK_VarCurr)) <=> (~v1(constB170))),
% 53.40/33.57 inference(monotonicity,[status(thm)],[492])).
% 53.40/33.57 tff(494,plain,
% 53.40/33.57 (~v1(constB170)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[97, 493])).
% 53.40/33.57 tff(495,plain,
% 53.40/33.57 (v1(constB170) <=> v1(constB170)),
% 53.40/33.57 inference(rewrite,[status(thm)],[])).
% 53.40/33.57 tff(496,axiom,(v1(constB170)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_170_1')).
% 53.40/33.57 tff(497,plain,
% 53.40/33.57 (v1(constB170)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[496, 495])).
% 53.40/33.57 tff(498,plain,
% 53.40/33.57 ($false),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[497, 494])).
% 53.40/33.57 tff(499,plain,((~(constB170 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.57 tff(500,plain,
% 53.40/33.57 (~(constB170 = sK_VarCurr)),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[499, 92])).
% 53.40/33.57 tff(501,assumption,(constB60 = sK_VarCurr), introduced(assumption)).
% 53.40/33.57 tff(502,plain,
% 53.40/33.57 (v1(constB60) <=> v1(sK_VarCurr)),
% 53.40/33.57 inference(monotonicity,[status(thm)],[501])).
% 53.40/33.57 tff(503,plain,
% 53.40/33.57 (v1(sK_VarCurr) <=> v1(constB60)),
% 53.40/33.57 inference(symmetry,[status(thm)],[502])).
% 53.40/33.57 tff(504,plain,
% 53.40/33.57 ((~v1(sK_VarCurr)) <=> (~v1(constB60))),
% 53.40/33.57 inference(monotonicity,[status(thm)],[503])).
% 53.40/33.57 tff(505,plain,
% 53.40/33.57 (~v1(constB60)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[97, 504])).
% 53.40/33.57 tff(506,plain,
% 53.40/33.57 (v1(constB60) <=> v1(constB60)),
% 53.40/33.57 inference(rewrite,[status(thm)],[])).
% 53.40/33.57 tff(507,axiom,(v1(constB60)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_60_1')).
% 53.40/33.57 tff(508,plain,
% 53.40/33.57 (v1(constB60)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[507, 506])).
% 53.40/33.57 tff(509,plain,
% 53.40/33.57 ($false),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[508, 505])).
% 53.40/33.57 tff(510,plain,((~(constB60 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.57 tff(511,plain,
% 53.40/33.57 (~(constB60 = sK_VarCurr)),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[510, 92])).
% 53.40/33.57 tff(512,assumption,(constB198 = sK_VarCurr), introduced(assumption)).
% 53.40/33.57 tff(513,plain,
% 53.40/33.57 (v1(constB198) <=> v1(sK_VarCurr)),
% 53.40/33.57 inference(monotonicity,[status(thm)],[512])).
% 53.40/33.57 tff(514,plain,
% 53.40/33.57 (v1(sK_VarCurr) <=> v1(constB198)),
% 53.40/33.57 inference(symmetry,[status(thm)],[513])).
% 53.40/33.57 tff(515,plain,
% 53.40/33.57 ((~v1(sK_VarCurr)) <=> (~v1(constB198))),
% 53.40/33.57 inference(monotonicity,[status(thm)],[514])).
% 53.40/33.57 tff(516,plain,
% 53.40/33.57 (~v1(constB198)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[97, 515])).
% 53.40/33.57 tff(517,plain,
% 53.40/33.57 (v1(constB198) <=> v1(constB198)),
% 53.40/33.57 inference(rewrite,[status(thm)],[])).
% 53.40/33.57 tff(518,axiom,(v1(constB198)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_198_1')).
% 53.40/33.57 tff(519,plain,
% 53.40/33.57 (v1(constB198)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[518, 517])).
% 53.40/33.57 tff(520,plain,
% 53.40/33.57 ($false),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[519, 516])).
% 53.40/33.57 tff(521,plain,((~(constB198 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.57 tff(522,plain,
% 53.40/33.57 (~(constB198 = sK_VarCurr)),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[521, 92])).
% 53.40/33.57 tff(523,assumption,(constB26 = sK_VarCurr), introduced(assumption)).
% 53.40/33.57 tff(524,plain,
% 53.40/33.57 (v1(constB26) <=> v1(sK_VarCurr)),
% 53.40/33.57 inference(monotonicity,[status(thm)],[523])).
% 53.40/33.57 tff(525,plain,
% 53.40/33.57 (v1(sK_VarCurr) <=> v1(constB26)),
% 53.40/33.57 inference(symmetry,[status(thm)],[524])).
% 53.40/33.57 tff(526,plain,
% 53.40/33.57 ((~v1(sK_VarCurr)) <=> (~v1(constB26))),
% 53.40/33.57 inference(monotonicity,[status(thm)],[525])).
% 53.40/33.57 tff(527,plain,
% 53.40/33.57 (~v1(constB26)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[97, 526])).
% 53.40/33.57 tff(528,plain,
% 53.40/33.57 (v1(constB26) <=> v1(constB26)),
% 53.40/33.57 inference(rewrite,[status(thm)],[])).
% 53.40/33.57 tff(529,axiom,(v1(constB26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_26_1')).
% 53.40/33.57 tff(530,plain,
% 53.40/33.57 (v1(constB26)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[529, 528])).
% 53.40/33.57 tff(531,plain,
% 53.40/33.57 ($false),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[530, 527])).
% 53.40/33.57 tff(532,plain,((~(constB26 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.57 tff(533,plain,
% 53.40/33.57 (~(constB26 = sK_VarCurr)),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[532, 92])).
% 53.40/33.57 tff(534,assumption,(constB22 = sK_VarCurr), introduced(assumption)).
% 53.40/33.57 tff(535,plain,
% 53.40/33.57 (v1(constB22) <=> v1(sK_VarCurr)),
% 53.40/33.57 inference(monotonicity,[status(thm)],[534])).
% 53.40/33.57 tff(536,plain,
% 53.40/33.57 (v1(sK_VarCurr) <=> v1(constB22)),
% 53.40/33.57 inference(symmetry,[status(thm)],[535])).
% 53.40/33.57 tff(537,plain,
% 53.40/33.57 ((~v1(sK_VarCurr)) <=> (~v1(constB22))),
% 53.40/33.57 inference(monotonicity,[status(thm)],[536])).
% 53.40/33.57 tff(538,plain,
% 53.40/33.57 (~v1(constB22)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[97, 537])).
% 53.40/33.57 tff(539,plain,
% 53.40/33.57 (v1(constB22) <=> v1(constB22)),
% 53.40/33.57 inference(rewrite,[status(thm)],[])).
% 53.40/33.57 tff(540,axiom,(v1(constB22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_22_1')).
% 53.40/33.57 tff(541,plain,
% 53.40/33.57 (v1(constB22)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[540, 539])).
% 53.40/33.57 tff(542,plain,
% 53.40/33.57 ($false),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[541, 538])).
% 53.40/33.57 tff(543,plain,((~(constB22 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.57 tff(544,plain,
% 53.40/33.57 (~(constB22 = sK_VarCurr)),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[543, 92])).
% 53.40/33.57 tff(545,assumption,(constB182 = sK_VarCurr), introduced(assumption)).
% 53.40/33.57 tff(546,plain,
% 53.40/33.57 (v1(constB182) <=> v1(sK_VarCurr)),
% 53.40/33.57 inference(monotonicity,[status(thm)],[545])).
% 53.40/33.57 tff(547,plain,
% 53.40/33.57 (v1(sK_VarCurr) <=> v1(constB182)),
% 53.40/33.57 inference(symmetry,[status(thm)],[546])).
% 53.40/33.57 tff(548,plain,
% 53.40/33.57 ((~v1(sK_VarCurr)) <=> (~v1(constB182))),
% 53.40/33.57 inference(monotonicity,[status(thm)],[547])).
% 53.40/33.57 tff(549,plain,
% 53.40/33.57 (~v1(constB182)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[97, 548])).
% 53.40/33.57 tff(550,plain,
% 53.40/33.57 (v1(constB182) <=> v1(constB182)),
% 53.40/33.57 inference(rewrite,[status(thm)],[])).
% 53.40/33.57 tff(551,axiom,(v1(constB182)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_182_1')).
% 53.40/33.57 tff(552,plain,
% 53.40/33.57 (v1(constB182)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[551, 550])).
% 53.40/33.57 tff(553,plain,
% 53.40/33.57 ($false),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[552, 549])).
% 53.40/33.57 tff(554,plain,((~(constB182 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.57 tff(555,plain,
% 53.40/33.57 (~(constB182 = sK_VarCurr)),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[554, 92])).
% 53.40/33.57 tff(556,assumption,(constB20 = sK_VarCurr), introduced(assumption)).
% 53.40/33.57 tff(557,plain,
% 53.40/33.57 (v1(constB20) <=> v1(sK_VarCurr)),
% 53.40/33.57 inference(monotonicity,[status(thm)],[556])).
% 53.40/33.57 tff(558,plain,
% 53.40/33.57 (v1(sK_VarCurr) <=> v1(constB20)),
% 53.40/33.57 inference(symmetry,[status(thm)],[557])).
% 53.40/33.57 tff(559,plain,
% 53.40/33.57 ((~v1(sK_VarCurr)) <=> (~v1(constB20))),
% 53.40/33.57 inference(monotonicity,[status(thm)],[558])).
% 53.40/33.57 tff(560,plain,
% 53.40/33.57 (~v1(constB20)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[97, 559])).
% 53.40/33.57 tff(561,plain,
% 53.40/33.57 (v1(constB20) <=> v1(constB20)),
% 53.40/33.57 inference(rewrite,[status(thm)],[])).
% 53.40/33.57 tff(562,axiom,(v1(constB20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_20_1')).
% 53.40/33.57 tff(563,plain,
% 53.40/33.57 (v1(constB20)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[562, 561])).
% 53.40/33.57 tff(564,plain,
% 53.40/33.57 ($false),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[563, 560])).
% 53.40/33.57 tff(565,plain,((~(constB20 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.57 tff(566,plain,
% 53.40/33.57 (~(constB20 = sK_VarCurr)),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[565, 92])).
% 53.40/33.57 tff(567,assumption,(constB124 = sK_VarCurr), introduced(assumption)).
% 53.40/33.57 tff(568,plain,
% 53.40/33.57 (v1(constB124) <=> v1(sK_VarCurr)),
% 53.40/33.57 inference(monotonicity,[status(thm)],[567])).
% 53.40/33.57 tff(569,plain,
% 53.40/33.57 (v1(sK_VarCurr) <=> v1(constB124)),
% 53.40/33.57 inference(symmetry,[status(thm)],[568])).
% 53.40/33.57 tff(570,plain,
% 53.40/33.57 ((~v1(sK_VarCurr)) <=> (~v1(constB124))),
% 53.40/33.57 inference(monotonicity,[status(thm)],[569])).
% 53.40/33.57 tff(571,plain,
% 53.40/33.57 (~v1(constB124)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[97, 570])).
% 53.40/33.57 tff(572,plain,
% 53.40/33.57 (v1(constB124) <=> v1(constB124)),
% 53.40/33.57 inference(rewrite,[status(thm)],[])).
% 53.40/33.57 tff(573,axiom,(v1(constB124)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_124_1')).
% 53.40/33.57 tff(574,plain,
% 53.40/33.57 (v1(constB124)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[573, 572])).
% 53.40/33.57 tff(575,plain,
% 53.40/33.57 ($false),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[574, 571])).
% 53.40/33.57 tff(576,plain,((~(constB124 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.57 tff(577,plain,
% 53.40/33.57 (~(constB124 = sK_VarCurr)),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[576, 92])).
% 53.40/33.57 tff(578,assumption,(constB94 = sK_VarCurr), introduced(assumption)).
% 53.40/33.57 tff(579,plain,
% 53.40/33.57 (v1(constB94) <=> v1(sK_VarCurr)),
% 53.40/33.57 inference(monotonicity,[status(thm)],[578])).
% 53.40/33.57 tff(580,plain,
% 53.40/33.57 (v1(sK_VarCurr) <=> v1(constB94)),
% 53.40/33.57 inference(symmetry,[status(thm)],[579])).
% 53.40/33.57 tff(581,plain,
% 53.40/33.57 ((~v1(sK_VarCurr)) <=> (~v1(constB94))),
% 53.40/33.57 inference(monotonicity,[status(thm)],[580])).
% 53.40/33.57 tff(582,plain,
% 53.40/33.57 (~v1(constB94)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[97, 581])).
% 53.40/33.57 tff(583,plain,
% 53.40/33.57 (v1(constB94) <=> v1(constB94)),
% 53.40/33.57 inference(rewrite,[status(thm)],[])).
% 53.40/33.57 tff(584,axiom,(v1(constB94)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_94_1')).
% 53.40/33.57 tff(585,plain,
% 53.40/33.57 (v1(constB94)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[584, 583])).
% 53.40/33.57 tff(586,plain,
% 53.40/33.57 ($false),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[585, 582])).
% 53.40/33.57 tff(587,plain,((~(constB94 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.57 tff(588,plain,
% 53.40/33.57 (~(constB94 = sK_VarCurr)),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[587, 92])).
% 53.40/33.57 tff(589,assumption,(constB112 = sK_VarCurr), introduced(assumption)).
% 53.40/33.57 tff(590,plain,
% 53.40/33.57 (v1(constB112) <=> v1(sK_VarCurr)),
% 53.40/33.57 inference(monotonicity,[status(thm)],[589])).
% 53.40/33.57 tff(591,plain,
% 53.40/33.57 (v1(sK_VarCurr) <=> v1(constB112)),
% 53.40/33.57 inference(symmetry,[status(thm)],[590])).
% 53.40/33.57 tff(592,plain,
% 53.40/33.57 ((~v1(sK_VarCurr)) <=> (~v1(constB112))),
% 53.40/33.57 inference(monotonicity,[status(thm)],[591])).
% 53.40/33.57 tff(593,plain,
% 53.40/33.57 (~v1(constB112)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[97, 592])).
% 53.40/33.57 tff(594,plain,
% 53.40/33.57 (v1(constB112) <=> v1(constB112)),
% 53.40/33.57 inference(rewrite,[status(thm)],[])).
% 53.40/33.57 tff(595,axiom,(v1(constB112)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_112_1')).
% 53.40/33.57 tff(596,plain,
% 53.40/33.57 (v1(constB112)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[595, 594])).
% 53.40/33.57 tff(597,plain,
% 53.40/33.57 ($false),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[596, 593])).
% 53.40/33.57 tff(598,plain,((~(constB112 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.57 tff(599,plain,
% 53.40/33.57 (~(constB112 = sK_VarCurr)),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[598, 92])).
% 53.40/33.57 tff(600,assumption,(constB42 = sK_VarCurr), introduced(assumption)).
% 53.40/33.57 tff(601,plain,
% 53.40/33.57 (v1(constB42) <=> v1(sK_VarCurr)),
% 53.40/33.57 inference(monotonicity,[status(thm)],[600])).
% 53.40/33.57 tff(602,plain,
% 53.40/33.57 (v1(sK_VarCurr) <=> v1(constB42)),
% 53.40/33.57 inference(symmetry,[status(thm)],[601])).
% 53.40/33.57 tff(603,plain,
% 53.40/33.57 ((~v1(sK_VarCurr)) <=> (~v1(constB42))),
% 53.40/33.57 inference(monotonicity,[status(thm)],[602])).
% 53.40/33.57 tff(604,plain,
% 53.40/33.57 (~v1(constB42)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[97, 603])).
% 53.40/33.57 tff(605,plain,
% 53.40/33.57 (v1(constB42) <=> v1(constB42)),
% 53.40/33.57 inference(rewrite,[status(thm)],[])).
% 53.40/33.57 tff(606,axiom,(v1(constB42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_42_1')).
% 53.40/33.57 tff(607,plain,
% 53.40/33.57 (v1(constB42)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[606, 605])).
% 53.40/33.57 tff(608,plain,
% 53.40/33.57 ($false),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[607, 604])).
% 53.40/33.57 tff(609,plain,((~(constB42 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.57 tff(610,plain,
% 53.40/33.57 (~(constB42 = sK_VarCurr)),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[609, 92])).
% 53.40/33.57 tff(611,assumption,(constB96 = sK_VarCurr), introduced(assumption)).
% 53.40/33.57 tff(612,plain,
% 53.40/33.57 (v1(constB96) <=> v1(sK_VarCurr)),
% 53.40/33.57 inference(monotonicity,[status(thm)],[611])).
% 53.40/33.57 tff(613,plain,
% 53.40/33.57 (v1(sK_VarCurr) <=> v1(constB96)),
% 53.40/33.57 inference(symmetry,[status(thm)],[612])).
% 53.40/33.57 tff(614,plain,
% 53.40/33.57 ((~v1(sK_VarCurr)) <=> (~v1(constB96))),
% 53.40/33.57 inference(monotonicity,[status(thm)],[613])).
% 53.40/33.57 tff(615,plain,
% 53.40/33.57 (~v1(constB96)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[97, 614])).
% 53.40/33.57 tff(616,plain,
% 53.40/33.57 (v1(constB96) <=> v1(constB96)),
% 53.40/33.57 inference(rewrite,[status(thm)],[])).
% 53.40/33.57 tff(617,axiom,(v1(constB96)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_96_1')).
% 53.40/33.57 tff(618,plain,
% 53.40/33.57 (v1(constB96)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[617, 616])).
% 53.40/33.57 tff(619,plain,
% 53.40/33.57 ($false),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[618, 615])).
% 53.40/33.57 tff(620,plain,((~(constB96 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.57 tff(621,plain,
% 53.40/33.57 (~(constB96 = sK_VarCurr)),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[620, 92])).
% 53.40/33.57 tff(622,assumption,(constB64 = sK_VarCurr), introduced(assumption)).
% 53.40/33.57 tff(623,plain,
% 53.40/33.57 (v1(constB64) <=> v1(sK_VarCurr)),
% 53.40/33.57 inference(monotonicity,[status(thm)],[622])).
% 53.40/33.57 tff(624,plain,
% 53.40/33.57 (v1(sK_VarCurr) <=> v1(constB64)),
% 53.40/33.57 inference(symmetry,[status(thm)],[623])).
% 53.40/33.57 tff(625,plain,
% 53.40/33.57 ((~v1(sK_VarCurr)) <=> (~v1(constB64))),
% 53.40/33.57 inference(monotonicity,[status(thm)],[624])).
% 53.40/33.57 tff(626,plain,
% 53.40/33.57 (~v1(constB64)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[97, 625])).
% 53.40/33.57 tff(627,plain,
% 53.40/33.57 (v1(constB64) <=> v1(constB64)),
% 53.40/33.57 inference(rewrite,[status(thm)],[])).
% 53.40/33.57 tff(628,axiom,(v1(constB64)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_64_1')).
% 53.40/33.57 tff(629,plain,
% 53.40/33.57 (v1(constB64)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[628, 627])).
% 53.40/33.57 tff(630,plain,
% 53.40/33.57 ($false),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[629, 626])).
% 53.40/33.57 tff(631,plain,((~(constB64 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.57 tff(632,plain,
% 53.40/33.57 (~(constB64 = sK_VarCurr)),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[631, 92])).
% 53.40/33.57 tff(633,assumption,(constB90 = sK_VarCurr), introduced(assumption)).
% 53.40/33.57 tff(634,plain,
% 53.40/33.57 (v1(constB90) <=> v1(sK_VarCurr)),
% 53.40/33.57 inference(monotonicity,[status(thm)],[633])).
% 53.40/33.57 tff(635,plain,
% 53.40/33.57 (v1(sK_VarCurr) <=> v1(constB90)),
% 53.40/33.57 inference(symmetry,[status(thm)],[634])).
% 53.40/33.57 tff(636,plain,
% 53.40/33.57 ((~v1(sK_VarCurr)) <=> (~v1(constB90))),
% 53.40/33.57 inference(monotonicity,[status(thm)],[635])).
% 53.40/33.57 tff(637,plain,
% 53.40/33.57 (~v1(constB90)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[97, 636])).
% 53.40/33.57 tff(638,plain,
% 53.40/33.57 (v1(constB90) <=> v1(constB90)),
% 53.40/33.57 inference(rewrite,[status(thm)],[])).
% 53.40/33.57 tff(639,axiom,(v1(constB90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_90_1')).
% 53.40/33.57 tff(640,plain,
% 53.40/33.57 (v1(constB90)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[639, 638])).
% 53.40/33.57 tff(641,plain,
% 53.40/33.57 ($false),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[640, 637])).
% 53.40/33.57 tff(642,plain,((~(constB90 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.57 tff(643,plain,
% 53.40/33.57 (~(constB90 = sK_VarCurr)),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[642, 92])).
% 53.40/33.57 tff(644,assumption,(constB30 = sK_VarCurr), introduced(assumption)).
% 53.40/33.57 tff(645,plain,
% 53.40/33.57 (v1(constB30) <=> v1(sK_VarCurr)),
% 53.40/33.57 inference(monotonicity,[status(thm)],[644])).
% 53.40/33.57 tff(646,plain,
% 53.40/33.57 (v1(sK_VarCurr) <=> v1(constB30)),
% 53.40/33.57 inference(symmetry,[status(thm)],[645])).
% 53.40/33.57 tff(647,plain,
% 53.40/33.57 ((~v1(sK_VarCurr)) <=> (~v1(constB30))),
% 53.40/33.57 inference(monotonicity,[status(thm)],[646])).
% 53.40/33.57 tff(648,plain,
% 53.40/33.57 (~v1(constB30)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[97, 647])).
% 53.40/33.57 tff(649,plain,
% 53.40/33.57 (v1(constB30) <=> v1(constB30)),
% 53.40/33.57 inference(rewrite,[status(thm)],[])).
% 53.40/33.57 tff(650,axiom,(v1(constB30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_30_1')).
% 53.40/33.57 tff(651,plain,
% 53.40/33.57 (v1(constB30)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[650, 649])).
% 53.40/33.57 tff(652,plain,
% 53.40/33.57 ($false),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[651, 648])).
% 53.40/33.57 tff(653,plain,((~(constB30 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.57 tff(654,plain,
% 53.40/33.57 (~(constB30 = sK_VarCurr)),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[653, 92])).
% 53.40/33.57 tff(655,assumption,(constB6 = sK_VarCurr), introduced(assumption)).
% 53.40/33.57 tff(656,plain,
% 53.40/33.57 (v1(constB6) <=> v1(sK_VarCurr)),
% 53.40/33.57 inference(monotonicity,[status(thm)],[655])).
% 53.40/33.57 tff(657,plain,
% 53.40/33.57 (v1(sK_VarCurr) <=> v1(constB6)),
% 53.40/33.57 inference(symmetry,[status(thm)],[656])).
% 53.40/33.57 tff(658,plain,
% 53.40/33.57 ((~v1(sK_VarCurr)) <=> (~v1(constB6))),
% 53.40/33.57 inference(monotonicity,[status(thm)],[657])).
% 53.40/33.57 tff(659,plain,
% 53.40/33.57 (~v1(constB6)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[97, 658])).
% 53.40/33.57 tff(660,plain,
% 53.40/33.57 (v1(constB6) <=> v1(constB6)),
% 53.40/33.57 inference(rewrite,[status(thm)],[])).
% 53.40/33.57 tff(661,axiom,(v1(constB6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_6_1')).
% 53.40/33.57 tff(662,plain,
% 53.40/33.57 (v1(constB6)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[661, 660])).
% 53.40/33.57 tff(663,plain,
% 53.40/33.57 ($false),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[662, 659])).
% 53.40/33.57 tff(664,plain,((~(constB6 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.57 tff(665,plain,
% 53.40/33.57 (~(constB6 = sK_VarCurr)),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[664, 92])).
% 53.40/33.57 tff(666,assumption,(constB174 = sK_VarCurr), introduced(assumption)).
% 53.40/33.57 tff(667,plain,
% 53.40/33.57 (v1(constB174) <=> v1(sK_VarCurr)),
% 53.40/33.57 inference(monotonicity,[status(thm)],[666])).
% 53.40/33.57 tff(668,plain,
% 53.40/33.57 (v1(sK_VarCurr) <=> v1(constB174)),
% 53.40/33.57 inference(symmetry,[status(thm)],[667])).
% 53.40/33.57 tff(669,plain,
% 53.40/33.57 ((~v1(sK_VarCurr)) <=> (~v1(constB174))),
% 53.40/33.57 inference(monotonicity,[status(thm)],[668])).
% 53.40/33.57 tff(670,plain,
% 53.40/33.57 (~v1(constB174)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[97, 669])).
% 53.40/33.57 tff(671,plain,
% 53.40/33.57 (v1(constB174) <=> v1(constB174)),
% 53.40/33.57 inference(rewrite,[status(thm)],[])).
% 53.40/33.57 tff(672,axiom,(v1(constB174)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_174_1')).
% 53.40/33.57 tff(673,plain,
% 53.40/33.57 (v1(constB174)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[672, 671])).
% 53.40/33.57 tff(674,plain,
% 53.40/33.57 ($false),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[673, 670])).
% 53.40/33.57 tff(675,plain,((~(constB174 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.57 tff(676,plain,
% 53.40/33.57 (~(constB174 = sK_VarCurr)),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[675, 92])).
% 53.40/33.57 tff(677,assumption,(constB24 = sK_VarCurr), introduced(assumption)).
% 53.40/33.57 tff(678,plain,
% 53.40/33.57 (v1(constB24) <=> v1(sK_VarCurr)),
% 53.40/33.57 inference(monotonicity,[status(thm)],[677])).
% 53.40/33.57 tff(679,plain,
% 53.40/33.57 (v1(sK_VarCurr) <=> v1(constB24)),
% 53.40/33.57 inference(symmetry,[status(thm)],[678])).
% 53.40/33.57 tff(680,plain,
% 53.40/33.57 ((~v1(sK_VarCurr)) <=> (~v1(constB24))),
% 53.40/33.57 inference(monotonicity,[status(thm)],[679])).
% 53.40/33.57 tff(681,plain,
% 53.40/33.57 (~v1(constB24)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[97, 680])).
% 53.40/33.57 tff(682,plain,
% 53.40/33.57 (v1(constB24) <=> v1(constB24)),
% 53.40/33.57 inference(rewrite,[status(thm)],[])).
% 53.40/33.57 tff(683,axiom,(v1(constB24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_24_1')).
% 53.40/33.57 tff(684,plain,
% 53.40/33.57 (v1(constB24)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[683, 682])).
% 53.40/33.57 tff(685,plain,
% 53.40/33.57 ($false),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[684, 681])).
% 53.40/33.57 tff(686,plain,((~(constB24 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.57 tff(687,plain,
% 53.40/33.57 (~(constB24 = sK_VarCurr)),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[686, 92])).
% 53.40/33.57 tff(688,assumption,(constB46 = sK_VarCurr), introduced(assumption)).
% 53.40/33.57 tff(689,plain,
% 53.40/33.57 (v1(constB46) <=> v1(sK_VarCurr)),
% 53.40/33.57 inference(monotonicity,[status(thm)],[688])).
% 53.40/33.57 tff(690,plain,
% 53.40/33.57 (v1(sK_VarCurr) <=> v1(constB46)),
% 53.40/33.57 inference(symmetry,[status(thm)],[689])).
% 53.40/33.57 tff(691,plain,
% 53.40/33.57 ((~v1(sK_VarCurr)) <=> (~v1(constB46))),
% 53.40/33.57 inference(monotonicity,[status(thm)],[690])).
% 53.40/33.57 tff(692,plain,
% 53.40/33.57 (~v1(constB46)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[97, 691])).
% 53.40/33.57 tff(693,plain,
% 53.40/33.57 (v1(constB46) <=> v1(constB46)),
% 53.40/33.57 inference(rewrite,[status(thm)],[])).
% 53.40/33.57 tff(694,axiom,(v1(constB46)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_46_1')).
% 53.40/33.57 tff(695,plain,
% 53.40/33.57 (v1(constB46)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[694, 693])).
% 53.40/33.57 tff(696,plain,
% 53.40/33.57 ($false),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[695, 692])).
% 53.40/33.57 tff(697,plain,((~(constB46 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.57 tff(698,plain,
% 53.40/33.57 (~(constB46 = sK_VarCurr)),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[697, 92])).
% 53.40/33.57 tff(699,assumption,(constB134 = sK_VarCurr), introduced(assumption)).
% 53.40/33.57 tff(700,plain,
% 53.40/33.57 (v1(constB134) <=> v1(sK_VarCurr)),
% 53.40/33.57 inference(monotonicity,[status(thm)],[699])).
% 53.40/33.57 tff(701,plain,
% 53.40/33.57 (v1(sK_VarCurr) <=> v1(constB134)),
% 53.40/33.57 inference(symmetry,[status(thm)],[700])).
% 53.40/33.57 tff(702,plain,
% 53.40/33.57 ((~v1(sK_VarCurr)) <=> (~v1(constB134))),
% 53.40/33.57 inference(monotonicity,[status(thm)],[701])).
% 53.40/33.57 tff(703,plain,
% 53.40/33.57 (~v1(constB134)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[97, 702])).
% 53.40/33.57 tff(704,plain,
% 53.40/33.57 (v1(constB134) <=> v1(constB134)),
% 53.40/33.57 inference(rewrite,[status(thm)],[])).
% 53.40/33.57 tff(705,axiom,(v1(constB134)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_134_1')).
% 53.40/33.57 tff(706,plain,
% 53.40/33.57 (v1(constB134)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[705, 704])).
% 53.40/33.57 tff(707,plain,
% 53.40/33.57 ($false),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[706, 703])).
% 53.40/33.57 tff(708,plain,((~(constB134 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.57 tff(709,plain,
% 53.40/33.57 (~(constB134 = sK_VarCurr)),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[708, 92])).
% 53.40/33.57 tff(710,assumption,(constB62 = sK_VarCurr), introduced(assumption)).
% 53.40/33.57 tff(711,plain,
% 53.40/33.57 (v1(constB62) <=> v1(sK_VarCurr)),
% 53.40/33.57 inference(monotonicity,[status(thm)],[710])).
% 53.40/33.57 tff(712,plain,
% 53.40/33.57 (v1(sK_VarCurr) <=> v1(constB62)),
% 53.40/33.57 inference(symmetry,[status(thm)],[711])).
% 53.40/33.57 tff(713,plain,
% 53.40/33.57 ((~v1(sK_VarCurr)) <=> (~v1(constB62))),
% 53.40/33.57 inference(monotonicity,[status(thm)],[712])).
% 53.40/33.57 tff(714,plain,
% 53.40/33.57 (~v1(constB62)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[97, 713])).
% 53.40/33.57 tff(715,plain,
% 53.40/33.57 (v1(constB62) <=> v1(constB62)),
% 53.40/33.57 inference(rewrite,[status(thm)],[])).
% 53.40/33.57 tff(716,axiom,(v1(constB62)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_62_1')).
% 53.40/33.57 tff(717,plain,
% 53.40/33.57 (v1(constB62)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[716, 715])).
% 53.40/33.57 tff(718,plain,
% 53.40/33.57 ($false),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[717, 714])).
% 53.40/33.57 tff(719,plain,((~(constB62 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.57 tff(720,plain,
% 53.40/33.57 (~(constB62 = sK_VarCurr)),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[719, 92])).
% 53.40/33.57 tff(721,assumption,(constB178 = sK_VarCurr), introduced(assumption)).
% 53.40/33.57 tff(722,plain,
% 53.40/33.57 (v1(constB178) <=> v1(sK_VarCurr)),
% 53.40/33.57 inference(monotonicity,[status(thm)],[721])).
% 53.40/33.57 tff(723,plain,
% 53.40/33.57 (v1(sK_VarCurr) <=> v1(constB178)),
% 53.40/33.57 inference(symmetry,[status(thm)],[722])).
% 53.40/33.57 tff(724,plain,
% 53.40/33.57 ((~v1(sK_VarCurr)) <=> (~v1(constB178))),
% 53.40/33.57 inference(monotonicity,[status(thm)],[723])).
% 53.40/33.57 tff(725,plain,
% 53.40/33.57 (~v1(constB178)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[97, 724])).
% 53.40/33.57 tff(726,plain,
% 53.40/33.57 (v1(constB178) <=> v1(constB178)),
% 53.40/33.57 inference(rewrite,[status(thm)],[])).
% 53.40/33.57 tff(727,axiom,(v1(constB178)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_178_1')).
% 53.40/33.57 tff(728,plain,
% 53.40/33.57 (v1(constB178)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[727, 726])).
% 53.40/33.57 tff(729,plain,
% 53.40/33.57 ($false),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[728, 725])).
% 53.40/33.57 tff(730,plain,((~(constB178 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.57 tff(731,plain,
% 53.40/33.57 (~(constB178 = sK_VarCurr)),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[730, 92])).
% 53.40/33.57 tff(732,assumption,(constB28 = sK_VarCurr), introduced(assumption)).
% 53.40/33.57 tff(733,plain,
% 53.40/33.57 (v1(constB28) <=> v1(sK_VarCurr)),
% 53.40/33.57 inference(monotonicity,[status(thm)],[732])).
% 53.40/33.57 tff(734,plain,
% 53.40/33.57 (v1(sK_VarCurr) <=> v1(constB28)),
% 53.40/33.57 inference(symmetry,[status(thm)],[733])).
% 53.40/33.57 tff(735,plain,
% 53.40/33.57 ((~v1(sK_VarCurr)) <=> (~v1(constB28))),
% 53.40/33.57 inference(monotonicity,[status(thm)],[734])).
% 53.40/33.57 tff(736,plain,
% 53.40/33.57 (~v1(constB28)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[97, 735])).
% 53.40/33.57 tff(737,plain,
% 53.40/33.57 (v1(constB28) <=> v1(constB28)),
% 53.40/33.57 inference(rewrite,[status(thm)],[])).
% 53.40/33.57 tff(738,axiom,(v1(constB28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_28_1')).
% 53.40/33.57 tff(739,plain,
% 53.40/33.57 (v1(constB28)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[738, 737])).
% 53.40/33.57 tff(740,plain,
% 53.40/33.57 ($false),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[739, 736])).
% 53.40/33.57 tff(741,plain,((~(constB28 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.57 tff(742,plain,
% 53.40/33.57 (~(constB28 = sK_VarCurr)),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[741, 92])).
% 53.40/33.57 tff(743,assumption,(constB34 = sK_VarCurr), introduced(assumption)).
% 53.40/33.57 tff(744,plain,
% 53.40/33.57 (v1(constB34) <=> v1(sK_VarCurr)),
% 53.40/33.57 inference(monotonicity,[status(thm)],[743])).
% 53.40/33.57 tff(745,plain,
% 53.40/33.57 (v1(sK_VarCurr) <=> v1(constB34)),
% 53.40/33.57 inference(symmetry,[status(thm)],[744])).
% 53.40/33.57 tff(746,plain,
% 53.40/33.57 ((~v1(sK_VarCurr)) <=> (~v1(constB34))),
% 53.40/33.57 inference(monotonicity,[status(thm)],[745])).
% 53.40/33.57 tff(747,plain,
% 53.40/33.57 (~v1(constB34)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[97, 746])).
% 53.40/33.57 tff(748,plain,
% 53.40/33.57 (v1(constB34) <=> v1(constB34)),
% 53.40/33.57 inference(rewrite,[status(thm)],[])).
% 53.40/33.57 tff(749,axiom,(v1(constB34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_34_1')).
% 53.40/33.57 tff(750,plain,
% 53.40/33.57 (v1(constB34)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[749, 748])).
% 53.40/33.57 tff(751,plain,
% 53.40/33.57 ($false),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[750, 747])).
% 53.40/33.57 tff(752,plain,((~(constB34 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.57 tff(753,plain,
% 53.40/33.57 (~(constB34 = sK_VarCurr)),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[752, 92])).
% 53.40/33.57 tff(754,assumption,(constB116 = sK_VarCurr), introduced(assumption)).
% 53.40/33.57 tff(755,plain,
% 53.40/33.57 (v1(constB116) <=> v1(sK_VarCurr)),
% 53.40/33.57 inference(monotonicity,[status(thm)],[754])).
% 53.40/33.57 tff(756,plain,
% 53.40/33.57 (v1(sK_VarCurr) <=> v1(constB116)),
% 53.40/33.57 inference(symmetry,[status(thm)],[755])).
% 53.40/33.57 tff(757,plain,
% 53.40/33.57 ((~v1(sK_VarCurr)) <=> (~v1(constB116))),
% 53.40/33.57 inference(monotonicity,[status(thm)],[756])).
% 53.40/33.57 tff(758,plain,
% 53.40/33.57 (~v1(constB116)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[97, 757])).
% 53.40/33.57 tff(759,plain,
% 53.40/33.57 (v1(constB116) <=> v1(constB116)),
% 53.40/33.57 inference(rewrite,[status(thm)],[])).
% 53.40/33.57 tff(760,axiom,(v1(constB116)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_116_1')).
% 53.40/33.57 tff(761,plain,
% 53.40/33.57 (v1(constB116)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[760, 759])).
% 53.40/33.57 tff(762,plain,
% 53.40/33.57 ($false),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[761, 758])).
% 53.40/33.57 tff(763,plain,((~(constB116 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.57 tff(764,plain,
% 53.40/33.57 (~(constB116 = sK_VarCurr)),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[763, 92])).
% 53.40/33.57 tff(765,assumption,(constB110 = sK_VarCurr), introduced(assumption)).
% 53.40/33.57 tff(766,plain,
% 53.40/33.57 (v1(constB110) <=> v1(sK_VarCurr)),
% 53.40/33.57 inference(monotonicity,[status(thm)],[765])).
% 53.40/33.57 tff(767,plain,
% 53.40/33.57 (v1(sK_VarCurr) <=> v1(constB110)),
% 53.40/33.57 inference(symmetry,[status(thm)],[766])).
% 53.40/33.57 tff(768,plain,
% 53.40/33.57 ((~v1(sK_VarCurr)) <=> (~v1(constB110))),
% 53.40/33.57 inference(monotonicity,[status(thm)],[767])).
% 53.40/33.57 tff(769,plain,
% 53.40/33.57 (~v1(constB110)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[97, 768])).
% 53.40/33.57 tff(770,plain,
% 53.40/33.57 (v1(constB110) <=> v1(constB110)),
% 53.40/33.57 inference(rewrite,[status(thm)],[])).
% 53.40/33.57 tff(771,axiom,(v1(constB110)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_110_1')).
% 53.40/33.57 tff(772,plain,
% 53.40/33.57 (v1(constB110)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[771, 770])).
% 53.40/33.57 tff(773,plain,
% 53.40/33.57 ($false),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[772, 769])).
% 53.40/33.57 tff(774,plain,((~(constB110 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.57 tff(775,plain,
% 53.40/33.57 (~(constB110 = sK_VarCurr)),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[774, 92])).
% 53.40/33.57 tff(776,assumption,(constB156 = sK_VarCurr), introduced(assumption)).
% 53.40/33.57 tff(777,plain,
% 53.40/33.57 (v1(constB156) <=> v1(sK_VarCurr)),
% 53.40/33.57 inference(monotonicity,[status(thm)],[776])).
% 53.40/33.57 tff(778,plain,
% 53.40/33.57 (v1(sK_VarCurr) <=> v1(constB156)),
% 53.40/33.57 inference(symmetry,[status(thm)],[777])).
% 53.40/33.57 tff(779,plain,
% 53.40/33.57 ((~v1(sK_VarCurr)) <=> (~v1(constB156))),
% 53.40/33.57 inference(monotonicity,[status(thm)],[778])).
% 53.40/33.57 tff(780,plain,
% 53.40/33.57 (~v1(constB156)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[97, 779])).
% 53.40/33.57 tff(781,plain,
% 53.40/33.57 (v1(constB156) <=> v1(constB156)),
% 53.40/33.57 inference(rewrite,[status(thm)],[])).
% 53.40/33.57 tff(782,axiom,(v1(constB156)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_156_1')).
% 53.40/33.57 tff(783,plain,
% 53.40/33.57 (v1(constB156)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[782, 781])).
% 53.40/33.57 tff(784,plain,
% 53.40/33.57 ($false),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[783, 780])).
% 53.40/33.57 tff(785,plain,((~(constB156 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.57 tff(786,plain,
% 53.40/33.57 (~(constB156 = sK_VarCurr)),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[785, 92])).
% 53.40/33.57 tff(787,assumption,(constB188 = sK_VarCurr), introduced(assumption)).
% 53.40/33.57 tff(788,plain,
% 53.40/33.57 (v1(constB188) <=> v1(sK_VarCurr)),
% 53.40/33.57 inference(monotonicity,[status(thm)],[787])).
% 53.40/33.57 tff(789,plain,
% 53.40/33.57 (v1(sK_VarCurr) <=> v1(constB188)),
% 53.40/33.57 inference(symmetry,[status(thm)],[788])).
% 53.40/33.57 tff(790,plain,
% 53.40/33.57 ((~v1(sK_VarCurr)) <=> (~v1(constB188))),
% 53.40/33.57 inference(monotonicity,[status(thm)],[789])).
% 53.40/33.57 tff(791,plain,
% 53.40/33.57 (~v1(constB188)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[97, 790])).
% 53.40/33.57 tff(792,plain,
% 53.40/33.57 (v1(constB188) <=> v1(constB188)),
% 53.40/33.57 inference(rewrite,[status(thm)],[])).
% 53.40/33.57 tff(793,axiom,(v1(constB188)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_188_1')).
% 53.40/33.57 tff(794,plain,
% 53.40/33.57 (v1(constB188)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[793, 792])).
% 53.40/33.57 tff(795,plain,
% 53.40/33.57 ($false),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[794, 791])).
% 53.40/33.57 tff(796,plain,((~(constB188 = sK_VarCurr)) | v1(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.57 tff(797,plain,
% 53.40/33.57 (~(constB188 = sK_VarCurr)),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[796, 92])).
% 53.40/33.57 tff(798,assumption,(~v180(sK_VarCurr)), introduced(assumption)).
% 53.40/33.57 tff(799,assumption,(v205(sK_VarCurr)), introduced(assumption)).
% 53.40/33.57 tff(800,plain,
% 53.40/33.57 (^[VarCurr: state_type] : refl((v180(VarCurr) | (~v205(VarCurr))) <=> (v180(VarCurr) | (~v205(VarCurr))))),
% 53.40/33.57 inference(bind,[status(th)],[])).
% 53.40/33.57 tff(801,plain,
% 53.40/33.57 (![VarCurr: state_type] : (v180(VarCurr) | (~v205(VarCurr))) <=> ![VarCurr: state_type] : (v180(VarCurr) | (~v205(VarCurr)))),
% 53.40/33.57 inference(quant_intro,[status(thm)],[800])).
% 53.40/33.57 tff(802,plain,
% 53.40/33.57 (![VarCurr: state_type] : (v180(VarCurr) | (~v205(VarCurr))) <=> ![VarCurr: state_type] : (v180(VarCurr) | (~v205(VarCurr)))),
% 53.40/33.57 inference(rewrite,[status(thm)],[])).
% 53.40/33.57 tff(803,plain,
% 53.40/33.57 (^[VarCurr: state_type] : rewrite(((~v205(VarCurr)) | v180(VarCurr)) <=> (v180(VarCurr) | (~v205(VarCurr))))),
% 53.40/33.57 inference(bind,[status(th)],[])).
% 53.40/33.57 tff(804,plain,
% 53.40/33.57 (![VarCurr: state_type] : ((~v205(VarCurr)) | v180(VarCurr)) <=> ![VarCurr: state_type] : (v180(VarCurr) | (~v205(VarCurr)))),
% 53.40/33.57 inference(quant_intro,[status(thm)],[803])).
% 53.40/33.57 tff(805,axiom,(![VarCurr: state_type] : ((~v205(VarCurr)) | v180(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_56_1_1_1_2')).
% 53.40/33.57 tff(806,plain,
% 53.40/33.57 (![VarCurr: state_type] : (v180(VarCurr) | (~v205(VarCurr)))),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[805, 804])).
% 53.40/33.57 tff(807,plain,
% 53.40/33.57 (![VarCurr: state_type] : (v180(VarCurr) | (~v205(VarCurr)))),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[806, 802])).
% 53.40/33.57 tff(808,plain,(
% 53.40/33.57 ![VarCurr: state_type] : (v180(VarCurr) | (~v205(VarCurr)))),
% 53.40/33.57 inference(skolemize,[status(sab)],[807])).
% 53.40/33.57 tff(809,plain,
% 53.40/33.57 (![VarCurr: state_type] : (v180(VarCurr) | (~v205(VarCurr)))),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[808, 801])).
% 53.40/33.57 tff(810,plain,
% 53.40/33.57 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v205(VarCurr)))) | (v180(sK_VarCurr) | (~v205(sK_VarCurr)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v205(VarCurr)))) | v180(sK_VarCurr) | (~v205(sK_VarCurr)))),
% 53.40/33.57 inference(rewrite,[status(thm)],[])).
% 53.40/33.57 tff(811,plain,
% 53.40/33.57 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v205(VarCurr)))) | (v180(sK_VarCurr) | (~v205(sK_VarCurr)))),
% 53.40/33.57 inference(quant_inst,[status(thm)],[])).
% 53.40/33.57 tff(812,plain,
% 53.40/33.57 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v205(VarCurr)))) | v180(sK_VarCurr) | (~v205(sK_VarCurr))),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[811, 810])).
% 53.40/33.57 tff(813,plain,
% 53.40/33.57 ($false),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[812, 809, 799, 798])).
% 53.40/33.57 tff(814,plain,((~v205(sK_VarCurr)) | v180(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.57 tff(815,plain,
% 53.40/33.57 (v180(sK_VarCurr)),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[814, 36])).
% 53.40/33.57 tff(816,assumption,(constB73 = sK_VarCurr), introduced(assumption)).
% 53.40/33.57 tff(817,plain,
% 53.40/33.57 (v180(constB73) <=> v180(sK_VarCurr)),
% 53.40/33.57 inference(monotonicity,[status(thm)],[816])).
% 53.40/33.57 tff(818,plain,
% 53.40/33.57 (v180(sK_VarCurr) <=> v180(constB73)),
% 53.40/33.57 inference(symmetry,[status(thm)],[817])).
% 53.40/33.57 tff(819,assumption,(v180(sK_VarCurr)), introduced(assumption)).
% 53.40/33.57 tff(820,plain,
% 53.40/33.57 (v180(constB73)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[819, 818])).
% 53.40/33.57 tff(821,assumption,(v26(constB15)), introduced(assumption)).
% 53.40/33.57 tff(822,plain,
% 53.40/33.57 (^[VarCurr: state_type] : refl((~v26(VarCurr)) <=> (~v26(VarCurr)))),
% 53.40/33.57 inference(bind,[status(th)],[])).
% 53.40/33.57 tff(823,plain,
% 53.40/33.57 (![VarCurr: state_type] : (~v26(VarCurr)) <=> ![VarCurr: state_type] : (~v26(VarCurr))),
% 53.40/33.57 inference(quant_intro,[status(thm)],[822])).
% 53.40/33.57 tff(824,plain,
% 53.40/33.57 (![VarCurr: state_type] : (~v26(VarCurr)) <=> ![VarCurr: state_type] : (~v26(VarCurr))),
% 53.40/33.57 inference(rewrite,[status(thm)],[])).
% 53.40/33.57 tff(825,axiom,(![VarCurr: state_type] : (~v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_1_1_1')).
% 53.40/33.57 tff(826,plain,
% 53.40/33.57 (![VarCurr: state_type] : (~v26(VarCurr))),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[825, 824])).
% 53.40/33.57 tff(827,plain,(
% 53.40/33.57 ![VarCurr: state_type] : (~v26(VarCurr))),
% 53.40/33.57 inference(skolemize,[status(sab)],[826])).
% 53.40/33.57 tff(828,plain,
% 53.40/33.57 (![VarCurr: state_type] : (~v26(VarCurr))),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[827, 823])).
% 53.40/33.57 tff(829,plain,
% 53.40/33.57 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB15))),
% 53.40/33.57 inference(quant_inst,[status(thm)],[])).
% 53.40/33.57 tff(830,plain,
% 53.40/33.57 ($false),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[829, 828, 821])).
% 53.40/33.57 tff(831,plain,(~v26(constB15)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.57 tff(832,assumption,(~v121(constB17)), introduced(assumption)).
% 53.40/33.57 tff(833,assumption,(~v26(constB15)), introduced(assumption)).
% 53.40/33.57 tff(834,assumption,(v26(constB11)), introduced(assumption)).
% 53.40/33.57 tff(835,plain,
% 53.40/33.57 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB11))),
% 53.40/33.57 inference(quant_inst,[status(thm)],[])).
% 53.40/33.57 tff(836,plain,
% 53.40/33.57 ($false),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[835, 828, 834])).
% 53.40/33.57 tff(837,plain,(~v26(constB11)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.57 tff(838,assumption,(v26(constB9)), introduced(assumption)).
% 53.40/33.57 tff(839,plain,
% 53.40/33.57 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB9))),
% 53.40/33.57 inference(quant_inst,[status(thm)],[])).
% 53.40/33.57 tff(840,plain,
% 53.40/33.57 ($false),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[839, 828, 838])).
% 53.40/33.57 tff(841,plain,(~v26(constB9)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.57 tff(842,assumption,(v26(constB7)), introduced(assumption)).
% 53.40/33.57 tff(843,plain,
% 53.40/33.57 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB7))),
% 53.40/33.57 inference(quant_inst,[status(thm)],[])).
% 53.40/33.57 tff(844,plain,
% 53.40/33.57 ($false),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[843, 828, 842])).
% 53.40/33.57 tff(845,plain,(~v26(constB7)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.57 tff(846,assumption,(v26(constB5)), introduced(assumption)).
% 53.40/33.57 tff(847,plain,
% 53.40/33.57 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB5))),
% 53.40/33.57 inference(quant_inst,[status(thm)],[])).
% 53.40/33.57 tff(848,plain,
% 53.40/33.57 ($false),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[847, 828, 846])).
% 53.40/33.57 tff(849,plain,(~v26(constB5)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.57 tff(850,assumption,(v26(constB3)), introduced(assumption)).
% 53.40/33.57 tff(851,plain,
% 53.40/33.57 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB3))),
% 53.40/33.57 inference(quant_inst,[status(thm)],[])).
% 53.40/33.57 tff(852,plain,
% 53.40/33.57 ($false),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[851, 828, 850])).
% 53.40/33.57 tff(853,plain,(~v26(constB3)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.57 tff(854,assumption,(v26(constB1)), introduced(assumption)).
% 53.40/33.57 tff(855,plain,
% 53.40/33.57 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB1))),
% 53.40/33.57 inference(quant_inst,[status(thm)],[])).
% 53.40/33.57 tff(856,plain,
% 53.40/33.57 ($false),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[855, 828, 854])).
% 53.40/33.57 tff(857,plain,(~v26(constB1)), inference(lemma,lemma(discharge,[]))).
% 53.40/33.57 tff(858,plain,
% 53.40/33.57 ((~v1(constB1)) <=> (~v1(constB1))),
% 53.40/33.57 inference(rewrite,[status(thm)],[])).
% 53.40/33.57 tff(859,axiom,(~v1(constB1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_1_1_1')).
% 53.40/33.57 tff(860,plain,
% 53.40/33.57 (~v1(constB1)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[859, 858])).
% 53.40/33.57 tff(861,plain,
% 53.40/33.57 (nextState(constB0, constB1) <=> nextState(constB0, constB1)),
% 53.40/33.57 inference(rewrite,[status(thm)],[])).
% 53.40/33.57 tff(862,axiom,(nextState(constB0, constB1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_200')).
% 53.40/33.57 tff(863,plain,
% 53.40/33.57 (nextState(constB0, constB1)),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[862, 861])).
% 53.40/33.57 tff(864,plain,
% 53.40/33.57 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)))),
% 53.40/33.57 inference(bind,[status(th)],[])).
% 53.40/33.57 tff(865,plain,
% 53.40/33.57 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 53.40/33.57 inference(quant_intro,[status(thm)],[864])).
% 53.40/33.57 tff(866,plain,
% 53.40/33.57 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 53.40/33.57 inference(rewrite,[status(thm)],[])).
% 53.40/33.57 tff(867,plain,
% 53.40/33.57 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | v1(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | v1(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | v1(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))), ((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | v1(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))))),
% 53.40/33.57 inference(bind,[status(th)],[])).
% 53.40/33.57 tff(868,plain,
% 53.40/33.57 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | v1(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 53.40/33.57 inference(quant_intro,[status(thm)],[867])).
% 53.40/33.57 tff(869,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | v1(VarNext))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_18_1_2')).
% 53.40/33.57 tff(870,plain,
% 53.40/33.57 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[869, 868])).
% 53.40/33.57 tff(871,plain,
% 53.40/33.57 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[870, 866])).
% 53.40/33.57 tff(872,plain,(
% 53.40/33.57 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 53.40/33.57 inference(skolemize,[status(sab)],[871])).
% 53.40/33.57 tff(873,plain,
% 53.40/33.57 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[872, 865])).
% 53.40/33.57 tff(874,plain,
% 53.40/33.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1)))),
% 53.40/33.57 inference(rewrite,[status(thm)],[])).
% 53.40/33.57 tff(875,plain,
% 53.40/33.57 (((~nextState(constB0, constB1)) | (~v101(constB1)) | v1(constB1)) <=> (v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1)))),
% 53.40/33.57 inference(rewrite,[status(thm)],[])).
% 53.40/33.57 tff(876,plain,
% 53.40/33.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB0, constB1)) | (~v101(constB1)) | v1(constB1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1))))),
% 53.40/33.57 inference(monotonicity,[status(thm)],[875])).
% 53.40/33.57 tff(877,plain,
% 53.40/33.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB0, constB1)) | (~v101(constB1)) | v1(constB1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1)))),
% 53.40/33.57 inference(transitivity,[status(thm)],[876, 874])).
% 53.40/33.57 tff(878,plain,
% 53.40/33.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB0, constB1)) | (~v101(constB1)) | v1(constB1))),
% 53.40/33.57 inference(quant_inst,[status(thm)],[])).
% 53.40/33.57 tff(879,plain,
% 53.40/33.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB1) | (~nextState(constB0, constB1)) | (~v101(constB1))),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[878, 877])).
% 53.40/33.57 tff(880,plain,
% 53.40/33.57 (~v101(constB1)),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[879, 873, 863, 860])).
% 53.40/33.57 tff(881,plain,
% 53.40/33.57 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))))),
% 53.40/33.57 inference(bind,[status(th)],[])).
% 53.40/33.57 tff(882,plain,
% 53.40/33.57 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 53.40/33.57 inference(quant_intro,[status(thm)],[881])).
% 53.40/33.57 tff(883,plain,
% 53.40/33.57 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 53.40/33.57 inference(rewrite,[status(thm)],[])).
% 53.40/33.57 tff(884,plain,
% 53.40/33.57 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v100(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v101(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v101(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v101(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v101(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))))),
% 53.40/33.57 inference(bind,[status(th)],[])).
% 53.40/33.57 tff(885,plain,
% 53.40/33.57 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v101(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 53.40/33.57 inference(quant_intro,[status(thm)],[884])).
% 53.40/33.57 tff(886,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v101(VarNext))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_27_1_3')).
% 53.40/33.57 tff(887,plain,
% 53.40/33.57 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[886, 885])).
% 53.40/33.57 tff(888,plain,
% 53.40/33.57 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[887, 883])).
% 53.40/33.57 tff(889,plain,(
% 53.40/33.57 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 53.40/33.57 inference(skolemize,[status(sab)],[888])).
% 53.40/33.57 tff(890,plain,
% 53.40/33.57 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[889, 882])).
% 53.40/33.57 tff(891,plain,
% 53.40/33.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB0, constB1)) | v101(constB1) | (~v100(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB0, constB1)) | v101(constB1) | (~v100(constB1)))),
% 53.40/33.57 inference(rewrite,[status(thm)],[])).
% 53.40/33.57 tff(892,plain,
% 53.40/33.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB0, constB1)) | v101(constB1) | (~v100(constB1)))),
% 53.40/33.57 inference(quant_inst,[status(thm)],[])).
% 53.40/33.57 tff(893,plain,
% 53.40/33.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB0, constB1)) | v101(constB1) | (~v100(constB1))),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[892, 891])).
% 53.40/33.57 tff(894,plain,
% 53.40/33.57 (v101(constB1) | (~v100(constB1))),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[893, 890, 863])).
% 53.40/33.57 tff(895,plain,
% 53.40/33.57 (~v100(constB1)),
% 53.40/33.57 inference(unit_resolution,[status(thm)],[894, 880])).
% 53.40/33.57 tff(896,plain,
% 53.40/33.57 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2))))),
% 53.40/33.57 inference(bind,[status(th)],[])).
% 53.40/33.57 tff(897,plain,
% 53.40/33.57 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))),
% 53.40/33.57 inference(quant_intro,[status(thm)],[896])).
% 53.40/33.57 tff(898,plain,
% 53.40/33.57 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))),
% 53.40/33.57 inference(rewrite,[status(thm)],[])).
% 53.40/33.57 tff(899,plain,
% 53.40/33.57 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 2))) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 2))))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 2))) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, 2)))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 2))) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, 2))))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 2))) | v90(VarCurr, 2)) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, 2))) | v90(VarCurr, 2)))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, 2))) | v90(VarCurr, 2)) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 2))) | v90(VarCurr, 2)) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))))),
% 53.40/33.57 inference(bind,[status(th)],[])).
% 53.40/33.57 tff(900,plain,
% 53.40/33.57 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 2))) | v90(VarCurr, 2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))),
% 53.40/33.57 inference(quant_intro,[status(thm)],[899])).
% 53.40/33.57 tff(901,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 2))) | v90(VarCurr, 2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_6')).
% 53.40/33.57 tff(902,plain,
% 53.40/33.57 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[901, 900])).
% 53.40/33.57 tff(903,plain,
% 53.40/33.57 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))),
% 53.40/33.57 inference(modus_ponens,[status(thm)],[902, 898])).
% 53.40/33.57 tff(904,plain,(
% 53.40/33.57 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))),
% 53.40/33.57 inference(skolemize,[status(sab)],[903])).
% 53.40/33.57 tff(905,plain,
% 53.40/33.57 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[904, 897])).
% 53.40/33.58 tff(906,plain,
% 53.40/33.58 ((~v90(constB0, 2)) <=> (~v90(constB0, 2))),
% 53.40/33.58 inference(rewrite,[status(thm)],[])).
% 53.40/33.58 tff(907,axiom,(~v90(constB0, 2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_4_1_1')).
% 53.40/33.58 tff(908,plain,
% 53.40/33.58 (~v90(constB0, 2)),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[907, 906])).
% 53.40/33.58 tff(909,plain,
% 53.40/33.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB0, 2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB0, 2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 2)))),
% 53.40/33.58 inference(rewrite,[status(thm)],[])).
% 53.40/33.58 tff(910,plain,
% 53.40/33.58 (((~nextState(constB0, constB1)) | v90(constB0, 2) | v100(constB1) | (~v90(constB1, 2))) <=> (v90(constB0, 2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 2)))),
% 53.40/33.58 inference(rewrite,[status(thm)],[])).
% 53.40/33.58 tff(911,plain,
% 53.40/33.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB0, constB1)) | v90(constB0, 2) | v100(constB1) | (~v90(constB1, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB0, 2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 2))))),
% 53.40/33.58 inference(monotonicity,[status(thm)],[910])).
% 53.40/33.58 tff(912,plain,
% 53.40/33.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB0, constB1)) | v90(constB0, 2) | v100(constB1) | (~v90(constB1, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB0, 2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 2)))),
% 53.40/33.58 inference(transitivity,[status(thm)],[911, 909])).
% 53.40/33.58 tff(913,plain,
% 53.40/33.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB0, constB1)) | v90(constB0, 2) | v100(constB1) | (~v90(constB1, 2)))),
% 53.40/33.58 inference(quant_inst,[status(thm)],[])).
% 53.40/33.58 tff(914,plain,
% 53.40/33.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB0, 2) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 2))),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[913, 912])).
% 53.40/33.58 tff(915,plain,
% 53.40/33.58 (v100(constB1) | (~v90(constB1, 2))),
% 53.40/33.58 inference(unit_resolution,[status(thm)],[914, 908, 905, 863])).
% 53.40/33.58 tff(916,plain,
% 53.40/33.58 (~v90(constB1, 2)),
% 53.40/33.58 inference(unit_resolution,[status(thm)],[915, 895])).
% 53.40/33.58 tff(917,plain,
% 53.40/33.58 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1))))),
% 53.40/33.58 inference(bind,[status(th)],[])).
% 53.40/33.58 tff(918,plain,
% 53.40/33.58 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))),
% 53.40/33.58 inference(quant_intro,[status(thm)],[917])).
% 53.40/33.58 tff(919,plain,
% 53.40/33.58 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))),
% 53.40/33.58 inference(rewrite,[status(thm)],[])).
% 53.40/33.58 tff(920,plain,
% 53.40/33.58 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 1))) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 1))))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 1))) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, 1)))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 1))) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, 1))))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 1))) | v90(VarCurr, 1)) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, 1))) | v90(VarCurr, 1)))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, 1))) | v90(VarCurr, 1)) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 1))) | v90(VarCurr, 1)) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))))),
% 53.40/33.58 inference(bind,[status(th)],[])).
% 53.40/33.58 tff(921,plain,
% 53.40/33.58 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 1))) | v90(VarCurr, 1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))),
% 53.40/33.58 inference(quant_intro,[status(thm)],[920])).
% 53.40/33.58 tff(922,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 1))) | v90(VarCurr, 1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_4')).
% 53.40/33.58 tff(923,plain,
% 53.40/33.58 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[922, 921])).
% 53.40/33.58 tff(924,plain,
% 53.40/33.58 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[923, 919])).
% 53.40/33.58 tff(925,plain,(
% 53.40/33.58 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))),
% 53.40/33.58 inference(skolemize,[status(sab)],[924])).
% 53.40/33.58 tff(926,plain,
% 53.40/33.58 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[925, 918])).
% 53.40/33.58 tff(927,plain,
% 53.40/33.58 ((~v90(constB0, 1)) <=> (~v90(constB0, 1))),
% 53.40/33.58 inference(rewrite,[status(thm)],[])).
% 53.40/33.58 tff(928,axiom,(~v90(constB0, 1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_3_1_1')).
% 53.40/33.58 tff(929,plain,
% 53.40/33.58 (~v90(constB0, 1)),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[928, 927])).
% 53.40/33.58 tff(930,plain,
% 53.40/33.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB0, 1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB0, 1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 1)))),
% 53.40/33.58 inference(rewrite,[status(thm)],[])).
% 53.40/33.58 tff(931,plain,
% 53.40/33.58 (((~nextState(constB0, constB1)) | v90(constB0, 1) | v100(constB1) | (~v90(constB1, 1))) <=> (v90(constB0, 1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 1)))),
% 53.40/33.58 inference(rewrite,[status(thm)],[])).
% 53.40/33.58 tff(932,plain,
% 53.40/33.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB0, constB1)) | v90(constB0, 1) | v100(constB1) | (~v90(constB1, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB0, 1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 1))))),
% 53.40/33.58 inference(monotonicity,[status(thm)],[931])).
% 53.40/33.58 tff(933,plain,
% 53.40/33.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB0, constB1)) | v90(constB0, 1) | v100(constB1) | (~v90(constB1, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB0, 1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 1)))),
% 53.40/33.58 inference(transitivity,[status(thm)],[932, 930])).
% 53.40/33.58 tff(934,plain,
% 53.40/33.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB0, constB1)) | v90(constB0, 1) | v100(constB1) | (~v90(constB1, 1)))),
% 53.40/33.58 inference(quant_inst,[status(thm)],[])).
% 53.40/33.58 tff(935,plain,
% 53.40/33.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB0, 1) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 1))),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[934, 933])).
% 53.40/33.58 tff(936,plain,
% 53.40/33.58 (v100(constB1) | (~v90(constB1, 1))),
% 53.40/33.58 inference(unit_resolution,[status(thm)],[935, 929, 926, 863])).
% 53.40/33.58 tff(937,plain,
% 53.40/33.58 (~v90(constB1, 1)),
% 53.40/33.58 inference(unit_resolution,[status(thm)],[936, 895])).
% 53.40/33.58 tff(938,plain,
% 53.40/33.58 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0))) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0))))),
% 53.40/33.58 inference(bind,[status(th)],[])).
% 53.40/33.58 tff(939,plain,
% 53.40/33.58 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))),
% 53.40/33.58 inference(quant_intro,[status(thm)],[938])).
% 53.40/33.58 tff(940,plain,
% 53.40/33.58 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))),
% 53.40/33.58 inference(rewrite,[status(thm)],[])).
% 53.40/33.58 tff(941,plain,
% 53.40/33.58 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 0))) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 0))))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 0))) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, 0)))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 0))) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, 0))))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 0))) | v90(VarCurr, 0)) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, 0))) | v90(VarCurr, 0)))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext) | (~v90(VarNext, 0))) | v90(VarCurr, 0)) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 0))) | v90(VarCurr, 0)) <=> ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))))),
% 53.40/33.58 inference(bind,[status(th)],[])).
% 53.40/33.58 tff(942,plain,
% 53.40/33.58 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 0))) | v90(VarCurr, 0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))),
% 53.40/33.58 inference(quant_intro,[status(thm)],[941])).
% 53.40/33.58 tff(943,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarNext, 0))) | v90(VarCurr, 0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_2')).
% 53.40/33.58 tff(944,plain,
% 53.40/33.58 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[943, 942])).
% 53.40/33.58 tff(945,plain,
% 53.40/33.58 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[944, 940])).
% 53.40/33.58 tff(946,plain,(
% 53.40/33.58 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))),
% 53.40/33.58 inference(skolemize,[status(sab)],[945])).
% 53.40/33.58 tff(947,plain,
% 53.40/33.58 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[946, 939])).
% 53.40/33.58 tff(948,plain,
% 53.40/33.58 ((~v90(constB0, 0)) <=> (~v90(constB0, 0))),
% 53.40/33.58 inference(rewrite,[status(thm)],[])).
% 53.40/33.58 tff(949,axiom,(~v90(constB0, 0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_2_1_1')).
% 53.40/33.58 tff(950,plain,
% 53.40/33.58 (~v90(constB0, 0)),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[949, 948])).
% 53.40/33.58 tff(951,plain,
% 53.40/33.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB0, 0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB0, 0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 0)))),
% 53.40/33.58 inference(rewrite,[status(thm)],[])).
% 53.40/33.58 tff(952,plain,
% 53.40/33.58 (((~nextState(constB0, constB1)) | v90(constB0, 0) | v100(constB1) | (~v90(constB1, 0))) <=> (v90(constB0, 0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 0)))),
% 53.40/33.58 inference(rewrite,[status(thm)],[])).
% 53.40/33.58 tff(953,plain,
% 53.40/33.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB0, constB1)) | v90(constB0, 0) | v100(constB1) | (~v90(constB1, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB0, 0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 0))))),
% 53.40/33.58 inference(monotonicity,[status(thm)],[952])).
% 53.40/33.58 tff(954,plain,
% 53.40/33.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB0, constB1)) | v90(constB0, 0) | v100(constB1) | (~v90(constB1, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB0, 0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 0)))),
% 53.40/33.58 inference(transitivity,[status(thm)],[953, 951])).
% 53.40/33.58 tff(955,plain,
% 53.40/33.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB0, constB1)) | v90(constB0, 0) | v100(constB1) | (~v90(constB1, 0)))),
% 53.40/33.58 inference(quant_inst,[status(thm)],[])).
% 53.40/33.58 tff(956,plain,
% 53.40/33.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB0, 0) | (~nextState(constB0, constB1)) | v100(constB1) | (~v90(constB1, 0))),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[955, 954])).
% 53.40/33.58 tff(957,plain,
% 53.40/33.58 (v100(constB1) | (~v90(constB1, 0))),
% 53.40/33.58 inference(unit_resolution,[status(thm)],[956, 950, 947, 863])).
% 53.40/33.58 tff(958,plain,
% 53.40/33.58 (~v90(constB1, 0)),
% 53.40/33.58 inference(unit_resolution,[status(thm)],[957, 895])).
% 53.40/33.58 tff(959,plain,
% 53.40/33.58 (^[VarCurr: state_type] : refl((v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2)) <=> (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2)))),
% 53.40/33.58 inference(bind,[status(th)],[])).
% 53.40/33.58 tff(960,plain,
% 53.40/33.58 (![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2)) <=> ![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))),
% 53.40/33.58 inference(quant_intro,[status(thm)],[959])).
% 53.40/33.58 tff(961,plain,
% 53.40/33.58 (![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2)) <=> ![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))),
% 53.40/33.58 inference(rewrite,[status(thm)],[])).
% 53.40/33.58 tff(962,plain,
% 53.40/33.58 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v90(VarCurr, 0) | v90(VarCurr, 1)) | v90(VarCurr, 2)) <=> (v90(VarCurr, 0) | v90(VarCurr, 1) | v90(VarCurr, 2))), ((((v90(VarCurr, 0) | v90(VarCurr, 1)) | v90(VarCurr, 2)) | v119(VarCurr)) <=> ((v90(VarCurr, 0) | v90(VarCurr, 1) | v90(VarCurr, 2)) | v119(VarCurr)))), rewrite(((v90(VarCurr, 0) | v90(VarCurr, 1) | v90(VarCurr, 2)) | v119(VarCurr)) <=> (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))), ((((v90(VarCurr, 0) | v90(VarCurr, 1)) | v90(VarCurr, 2)) | v119(VarCurr)) <=> (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))))),
% 53.40/33.58 inference(bind,[status(th)],[])).
% 53.40/33.58 tff(963,plain,
% 53.40/33.58 (![VarCurr: state_type] : (((v90(VarCurr, 0) | v90(VarCurr, 1)) | v90(VarCurr, 2)) | v119(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))),
% 53.40/33.58 inference(quant_intro,[status(thm)],[962])).
% 53.40/33.58 tff(964,axiom,(![VarCurr: state_type] : (((v90(VarCurr, 0) | v90(VarCurr, 1)) | v90(VarCurr, 2)) | v119(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_1')).
% 53.40/33.58 tff(965,plain,
% 53.40/33.58 (![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[964, 963])).
% 53.40/33.58 tff(966,plain,
% 53.40/33.58 (![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[965, 961])).
% 53.40/33.58 tff(967,plain,(
% 53.40/33.58 ![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))),
% 53.40/33.58 inference(skolemize,[status(sab)],[966])).
% 53.40/33.58 tff(968,plain,
% 53.40/33.58 (![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[967, 960])).
% 53.40/33.58 tff(969,plain,
% 53.40/33.58 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB1, 0) | v90(constB1, 1) | v90(constB1, 2) | v119(constB1))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB1, 0) | v90(constB1, 1) | v90(constB1, 2) | v119(constB1))),
% 53.40/33.58 inference(rewrite,[status(thm)],[])).
% 53.40/33.58 tff(970,plain,
% 53.40/33.58 ((v90(constB1, 0) | v119(constB1) | v90(constB1, 1) | v90(constB1, 2)) <=> (v90(constB1, 0) | v90(constB1, 1) | v90(constB1, 2) | v119(constB1))),
% 53.40/33.58 inference(rewrite,[status(thm)],[])).
% 53.40/33.58 tff(971,plain,
% 53.40/33.58 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB1, 0) | v119(constB1) | v90(constB1, 1) | v90(constB1, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB1, 0) | v90(constB1, 1) | v90(constB1, 2) | v119(constB1)))),
% 53.40/33.58 inference(monotonicity,[status(thm)],[970])).
% 53.40/33.58 tff(972,plain,
% 53.40/33.58 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB1, 0) | v119(constB1) | v90(constB1, 1) | v90(constB1, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB1, 0) | v90(constB1, 1) | v90(constB1, 2) | v119(constB1))),
% 53.40/33.58 inference(transitivity,[status(thm)],[971, 969])).
% 53.40/33.58 tff(973,plain,
% 53.40/33.58 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB1, 0) | v119(constB1) | v90(constB1, 1) | v90(constB1, 2))),
% 53.40/33.58 inference(quant_inst,[status(thm)],[])).
% 53.40/33.58 tff(974,plain,
% 53.40/33.58 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB1, 0) | v90(constB1, 1) | v90(constB1, 2) | v119(constB1)),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[973, 972])).
% 53.40/33.58 tff(975,plain,
% 53.40/33.58 (v119(constB1)),
% 53.40/33.58 inference(unit_resolution,[status(thm)],[974, 968, 958, 937, 916])).
% 53.40/33.58 tff(976,plain,
% 53.40/33.58 (^[VarCurr: state_type] : refl(((~v119(VarCurr)) | v118(VarCurr)) <=> ((~v119(VarCurr)) | v118(VarCurr)))),
% 53.40/33.58 inference(bind,[status(th)],[])).
% 53.40/33.58 tff(977,plain,
% 53.40/33.58 (![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr)) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))),
% 53.40/33.58 inference(quant_intro,[status(thm)],[976])).
% 53.40/33.58 tff(978,plain,
% 53.40/33.58 (![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr)) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))),
% 53.40/33.58 inference(rewrite,[status(thm)],[])).
% 53.40/33.58 tff(979,axiom,(![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_19_1_2')).
% 53.40/33.58 tff(980,plain,
% 53.40/33.58 (![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[979, 978])).
% 53.40/33.58 tff(981,plain,(
% 53.40/33.58 ![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))),
% 53.40/33.58 inference(skolemize,[status(sab)],[980])).
% 53.40/33.58 tff(982,plain,
% 53.40/33.58 (![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[981, 977])).
% 53.40/33.58 tff(983,plain,
% 53.40/33.58 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB1)) | v118(constB1))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB1)) | v118(constB1))),
% 53.40/33.58 inference(rewrite,[status(thm)],[])).
% 53.40/33.58 tff(984,plain,
% 53.40/33.58 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB1)) | v118(constB1))),
% 53.40/33.58 inference(quant_inst,[status(thm)],[])).
% 53.40/33.58 tff(985,plain,
% 53.40/33.58 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB1)) | v118(constB1)),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[984, 983])).
% 53.40/33.58 tff(986,plain,
% 53.40/33.58 (v118(constB1)),
% 53.40/33.58 inference(unit_resolution,[status(thm)],[985, 982, 975])).
% 53.40/33.58 tff(987,plain,
% 53.40/33.58 (^[VarCurr: state_type] : refl(((~v118(VarCurr)) | v117(VarCurr)) <=> ((~v118(VarCurr)) | v117(VarCurr)))),
% 53.40/33.58 inference(bind,[status(th)],[])).
% 53.40/33.58 tff(988,plain,
% 53.40/33.58 (![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr)) <=> ![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))),
% 53.40/33.58 inference(quant_intro,[status(thm)],[987])).
% 53.40/33.58 tff(989,plain,
% 53.40/33.58 (![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr)) <=> ![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))),
% 53.40/33.58 inference(rewrite,[status(thm)],[])).
% 53.40/33.58 tff(990,axiom,(![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_20_1_2')).
% 53.40/33.58 tff(991,plain,
% 53.40/33.58 (![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[990, 989])).
% 53.40/33.58 tff(992,plain,(
% 53.40/33.58 ![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))),
% 53.40/33.58 inference(skolemize,[status(sab)],[991])).
% 53.40/33.58 tff(993,plain,
% 53.40/33.58 (![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[992, 988])).
% 53.40/33.58 tff(994,plain,
% 53.40/33.58 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB1) | (~v118(constB1)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB1) | (~v118(constB1)))),
% 53.40/33.58 inference(rewrite,[status(thm)],[])).
% 53.40/33.58 tff(995,plain,
% 53.40/33.58 (((~v118(constB1)) | v117(constB1)) <=> (v117(constB1) | (~v118(constB1)))),
% 53.40/33.58 inference(rewrite,[status(thm)],[])).
% 53.40/33.58 tff(996,plain,
% 53.40/33.58 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB1)) | v117(constB1))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB1) | (~v118(constB1))))),
% 53.40/33.58 inference(monotonicity,[status(thm)],[995])).
% 53.40/33.58 tff(997,plain,
% 53.40/33.58 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB1)) | v117(constB1))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB1) | (~v118(constB1)))),
% 53.40/33.58 inference(transitivity,[status(thm)],[996, 994])).
% 53.40/33.58 tff(998,plain,
% 53.40/33.58 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB1)) | v117(constB1))),
% 53.40/33.58 inference(quant_inst,[status(thm)],[])).
% 53.40/33.58 tff(999,plain,
% 53.40/33.58 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB1) | (~v118(constB1))),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[998, 997])).
% 53.40/33.58 tff(1000,plain,
% 53.40/33.58 (v117(constB1)),
% 53.40/33.58 inference(unit_resolution,[status(thm)],[999, 993, 986])).
% 53.40/33.58 tff(1001,plain,
% 53.40/33.58 (^[VarCurr: state_type] : refl(((~v117(VarCurr)) | v116(VarCurr)) <=> ((~v117(VarCurr)) | v116(VarCurr)))),
% 53.40/33.58 inference(bind,[status(th)],[])).
% 53.40/33.58 tff(1002,plain,
% 53.40/33.58 (![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr)) <=> ![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))),
% 53.40/33.58 inference(quant_intro,[status(thm)],[1001])).
% 53.40/33.58 tff(1003,plain,
% 53.40/33.58 (![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr)) <=> ![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))),
% 53.40/33.58 inference(rewrite,[status(thm)],[])).
% 53.40/33.58 tff(1004,axiom,(![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_21_1_2')).
% 53.40/33.58 tff(1005,plain,
% 53.40/33.58 (![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[1004, 1003])).
% 53.40/33.58 tff(1006,plain,(
% 53.40/33.58 ![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))),
% 53.40/33.58 inference(skolemize,[status(sab)],[1005])).
% 53.40/33.58 tff(1007,plain,
% 53.40/33.58 (![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[1006, 1002])).
% 53.40/33.58 tff(1008,plain,
% 53.40/33.58 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB1) | (~v117(constB1)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB1) | (~v117(constB1)))),
% 53.40/33.58 inference(rewrite,[status(thm)],[])).
% 53.40/33.58 tff(1009,plain,
% 53.40/33.58 (((~v117(constB1)) | v116(constB1)) <=> (v116(constB1) | (~v117(constB1)))),
% 53.40/33.58 inference(rewrite,[status(thm)],[])).
% 53.40/33.58 tff(1010,plain,
% 53.40/33.58 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB1)) | v116(constB1))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB1) | (~v117(constB1))))),
% 53.40/33.58 inference(monotonicity,[status(thm)],[1009])).
% 53.40/33.58 tff(1011,plain,
% 53.40/33.58 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB1)) | v116(constB1))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB1) | (~v117(constB1)))),
% 53.40/33.58 inference(transitivity,[status(thm)],[1010, 1008])).
% 53.40/33.58 tff(1012,plain,
% 53.40/33.58 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB1)) | v116(constB1))),
% 53.40/33.58 inference(quant_inst,[status(thm)],[])).
% 53.40/33.58 tff(1013,plain,
% 53.40/33.58 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB1) | (~v117(constB1))),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[1012, 1011])).
% 53.40/33.58 tff(1014,plain,
% 53.40/33.58 (v116(constB1)),
% 53.40/33.58 inference(unit_resolution,[status(thm)],[1013, 1007, 1000])).
% 53.40/33.58 tff(1015,plain,
% 53.40/33.58 (^[VarCurr: state_type] : refl(((~v116(VarCurr)) | v115(VarCurr)) <=> ((~v116(VarCurr)) | v115(VarCurr)))),
% 53.40/33.58 inference(bind,[status(th)],[])).
% 53.40/33.58 tff(1016,plain,
% 53.40/33.58 (![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr)) <=> ![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))),
% 53.40/33.58 inference(quant_intro,[status(thm)],[1015])).
% 53.40/33.58 tff(1017,plain,
% 53.40/33.58 (![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr)) <=> ![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))),
% 53.40/33.58 inference(rewrite,[status(thm)],[])).
% 53.40/33.58 tff(1018,axiom,(![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_22_1_2')).
% 53.40/33.58 tff(1019,plain,
% 53.40/33.58 (![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[1018, 1017])).
% 53.40/33.58 tff(1020,plain,(
% 53.40/33.58 ![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))),
% 53.40/33.58 inference(skolemize,[status(sab)],[1019])).
% 53.40/33.58 tff(1021,plain,
% 53.40/33.58 (![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[1020, 1016])).
% 53.40/33.58 tff(1022,plain,
% 53.40/33.58 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB1) | (~v116(constB1)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB1) | (~v116(constB1)))),
% 53.40/33.58 inference(rewrite,[status(thm)],[])).
% 53.40/33.58 tff(1023,plain,
% 53.40/33.58 (((~v116(constB1)) | v115(constB1)) <=> (v115(constB1) | (~v116(constB1)))),
% 53.40/33.58 inference(rewrite,[status(thm)],[])).
% 53.40/33.58 tff(1024,plain,
% 53.40/33.58 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB1)) | v115(constB1))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB1) | (~v116(constB1))))),
% 53.40/33.58 inference(monotonicity,[status(thm)],[1023])).
% 53.40/33.58 tff(1025,plain,
% 53.40/33.58 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB1)) | v115(constB1))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB1) | (~v116(constB1)))),
% 53.40/33.58 inference(transitivity,[status(thm)],[1024, 1022])).
% 53.40/33.58 tff(1026,plain,
% 53.40/33.58 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB1)) | v115(constB1))),
% 53.40/33.58 inference(quant_inst,[status(thm)],[])).
% 53.40/33.58 tff(1027,plain,
% 53.40/33.58 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB1) | (~v116(constB1))),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[1026, 1025])).
% 53.40/33.58 tff(1028,plain,
% 53.40/33.58 (v115(constB1)),
% 53.40/33.58 inference(unit_resolution,[status(thm)],[1027, 1021, 1014])).
% 53.40/33.58 tff(1029,plain,
% 53.40/33.58 (^[VarCurr: state_type] : refl(((~v115(VarCurr)) | v114(VarCurr)) <=> ((~v115(VarCurr)) | v114(VarCurr)))),
% 53.40/33.58 inference(bind,[status(th)],[])).
% 53.40/33.58 tff(1030,plain,
% 53.40/33.58 (![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr)) <=> ![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))),
% 53.40/33.58 inference(quant_intro,[status(thm)],[1029])).
% 53.40/33.58 tff(1031,plain,
% 53.40/33.58 (![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr)) <=> ![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))),
% 53.40/33.58 inference(rewrite,[status(thm)],[])).
% 53.40/33.58 tff(1032,axiom,(![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_23_1_2')).
% 53.40/33.58 tff(1033,plain,
% 53.40/33.58 (![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[1032, 1031])).
% 53.40/33.58 tff(1034,plain,(
% 53.40/33.58 ![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))),
% 53.40/33.58 inference(skolemize,[status(sab)],[1033])).
% 53.40/33.58 tff(1035,plain,
% 53.40/33.58 (![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[1034, 1030])).
% 53.40/33.58 tff(1036,plain,
% 53.40/33.58 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB1) | (~v115(constB1)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB1) | (~v115(constB1)))),
% 53.40/33.58 inference(rewrite,[status(thm)],[])).
% 53.40/33.58 tff(1037,plain,
% 53.40/33.58 (((~v115(constB1)) | v114(constB1)) <=> (v114(constB1) | (~v115(constB1)))),
% 53.40/33.58 inference(rewrite,[status(thm)],[])).
% 53.40/33.58 tff(1038,plain,
% 53.40/33.58 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB1)) | v114(constB1))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB1) | (~v115(constB1))))),
% 53.40/33.58 inference(monotonicity,[status(thm)],[1037])).
% 53.40/33.58 tff(1039,plain,
% 53.40/33.58 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB1)) | v114(constB1))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB1) | (~v115(constB1)))),
% 53.40/33.58 inference(transitivity,[status(thm)],[1038, 1036])).
% 53.40/33.58 tff(1040,plain,
% 53.40/33.58 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB1)) | v114(constB1))),
% 53.40/33.58 inference(quant_inst,[status(thm)],[])).
% 53.40/33.58 tff(1041,plain,
% 53.40/33.58 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB1) | (~v115(constB1))),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[1040, 1039])).
% 53.40/33.58 tff(1042,plain,
% 53.40/33.58 (v114(constB1)),
% 53.40/33.58 inference(unit_resolution,[status(thm)],[1041, 1035, 1028])).
% 53.40/33.58 tff(1043,plain,
% 53.40/33.58 (^[VarCurr: state_type] : refl(((~v114(VarCurr)) | v113(VarCurr)) <=> ((~v114(VarCurr)) | v113(VarCurr)))),
% 53.40/33.58 inference(bind,[status(th)],[])).
% 53.40/33.58 tff(1044,plain,
% 53.40/33.58 (![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr)) <=> ![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))),
% 53.40/33.58 inference(quant_intro,[status(thm)],[1043])).
% 53.40/33.58 tff(1045,plain,
% 53.40/33.58 (![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr)) <=> ![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))),
% 53.40/33.58 inference(rewrite,[status(thm)],[])).
% 53.40/33.58 tff(1046,axiom,(![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_24_1_2')).
% 53.40/33.58 tff(1047,plain,
% 53.40/33.58 (![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[1046, 1045])).
% 53.40/33.58 tff(1048,plain,(
% 53.40/33.58 ![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))),
% 53.40/33.58 inference(skolemize,[status(sab)],[1047])).
% 53.40/33.58 tff(1049,plain,
% 53.40/33.58 (![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[1048, 1044])).
% 53.40/33.58 tff(1050,plain,
% 53.40/33.58 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB1)) | v113(constB1))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB1)) | v113(constB1))),
% 53.40/33.58 inference(rewrite,[status(thm)],[])).
% 53.40/33.58 tff(1051,plain,
% 53.40/33.58 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB1)) | v113(constB1))),
% 53.40/33.58 inference(quant_inst,[status(thm)],[])).
% 53.40/33.58 tff(1052,plain,
% 53.40/33.58 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB1)) | v113(constB1)),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[1051, 1050])).
% 53.40/33.58 tff(1053,plain,
% 53.40/33.58 (v113(constB1)),
% 53.40/33.58 inference(unit_resolution,[status(thm)],[1052, 1049, 1042])).
% 53.40/33.58 tff(1054,plain,
% 53.40/33.58 (^[VarCurr: state_type] : refl((v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)) <=> (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)))),
% 53.40/33.58 inference(bind,[status(th)],[])).
% 53.40/33.58 tff(1055,plain,
% 53.40/33.58 (![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 53.40/33.58 inference(quant_intro,[status(thm)],[1054])).
% 53.40/33.58 tff(1056,plain,
% 53.40/33.58 (![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 53.40/33.58 inference(rewrite,[status(thm)],[])).
% 53.40/33.58 tff(1057,plain,
% 53.40/33.58 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v113(VarCurr))) | v112(VarCurr)) <=> (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr)))),
% 53.40/33.58 inference(bind,[status(th)],[])).
% 53.40/33.58 tff(1058,plain,
% 53.40/33.58 (![VarCurr: state_type] : ((v26(VarCurr) | (~v113(VarCurr))) | v112(VarCurr)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 53.40/33.58 inference(quant_intro,[status(thm)],[1057])).
% 53.40/33.58 tff(1059,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v113(VarCurr))) | v112(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_25_1_1_1')).
% 53.40/33.58 tff(1060,plain,
% 53.40/33.58 (![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[1059, 1058])).
% 53.40/33.58 tff(1061,plain,
% 53.40/33.58 (![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[1060, 1056])).
% 53.40/33.58 tff(1062,plain,(
% 53.40/33.58 ![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 53.40/33.58 inference(skolemize,[status(sab)],[1061])).
% 53.40/33.58 tff(1063,plain,
% 53.40/33.58 (![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[1062, 1055])).
% 53.40/33.58 tff(1064,plain,
% 53.40/33.58 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB1) | (~v113(constB1)) | v112(constB1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB1) | (~v113(constB1)) | v112(constB1))),
% 53.40/33.58 inference(rewrite,[status(thm)],[])).
% 53.40/33.58 tff(1065,plain,
% 53.40/33.58 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB1) | (~v113(constB1)) | v112(constB1))),
% 53.40/33.58 inference(quant_inst,[status(thm)],[])).
% 53.40/33.58 tff(1066,plain,
% 53.40/33.58 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB1) | (~v113(constB1)) | v112(constB1)),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[1065, 1064])).
% 53.40/33.58 tff(1067,plain,
% 53.40/33.58 (v26(constB1) | v112(constB1)),
% 53.40/33.58 inference(unit_resolution,[status(thm)],[1066, 1063, 1053])).
% 53.40/33.58 tff(1068,plain,
% 53.40/33.58 (v112(constB1)),
% 53.40/33.58 inference(unit_resolution,[status(thm)],[1067, 857])).
% 53.40/33.58 tff(1069,plain,
% 53.40/33.58 (^[VarCurr: state_type] : refl(((~v112(VarCurr)) | v108(VarCurr)) <=> ((~v112(VarCurr)) | v108(VarCurr)))),
% 53.40/33.58 inference(bind,[status(th)],[])).
% 53.40/33.58 tff(1070,plain,
% 53.40/33.58 (![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr)) <=> ![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))),
% 53.40/33.58 inference(quant_intro,[status(thm)],[1069])).
% 53.40/33.58 tff(1071,plain,
% 53.40/33.58 (![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr)) <=> ![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))),
% 53.40/33.58 inference(rewrite,[status(thm)],[])).
% 53.40/33.58 tff(1072,axiom,(![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_26_1_1_1')).
% 53.40/33.58 tff(1073,plain,
% 53.40/33.58 (![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[1072, 1071])).
% 53.40/33.58 tff(1074,plain,(
% 53.40/33.58 ![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))),
% 53.40/33.58 inference(skolemize,[status(sab)],[1073])).
% 53.40/33.58 tff(1075,plain,
% 53.40/33.58 (![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[1074, 1070])).
% 53.40/33.58 tff(1076,plain,
% 53.40/33.58 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB1) | (~v112(constB1)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB1) | (~v112(constB1)))),
% 53.40/33.58 inference(rewrite,[status(thm)],[])).
% 53.40/33.58 tff(1077,plain,
% 53.40/33.58 (((~v112(constB1)) | v108(constB1)) <=> (v108(constB1) | (~v112(constB1)))),
% 53.40/33.58 inference(rewrite,[status(thm)],[])).
% 53.40/33.58 tff(1078,plain,
% 53.40/33.58 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB1)) | v108(constB1))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB1) | (~v112(constB1))))),
% 53.40/33.58 inference(monotonicity,[status(thm)],[1077])).
% 53.40/33.58 tff(1079,plain,
% 53.40/33.58 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB1)) | v108(constB1))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB1) | (~v112(constB1)))),
% 53.40/33.58 inference(transitivity,[status(thm)],[1078, 1076])).
% 53.40/33.58 tff(1080,plain,
% 53.40/33.58 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB1)) | v108(constB1))),
% 53.40/33.58 inference(quant_inst,[status(thm)],[])).
% 53.40/33.58 tff(1081,plain,
% 53.40/33.58 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB1) | (~v112(constB1))),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[1080, 1079])).
% 53.40/33.58 tff(1082,plain,
% 53.40/33.58 (v108(constB1)),
% 53.40/33.58 inference(unit_resolution,[status(thm)],[1081, 1075, 1068])).
% 53.40/33.58 tff(1083,plain,
% 53.40/33.58 (nextState(constB1, constB2) <=> nextState(constB1, constB2)),
% 53.40/33.58 inference(rewrite,[status(thm)],[])).
% 53.40/33.58 tff(1084,axiom,(nextState(constB1, constB2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_1_1')).
% 53.40/33.58 tff(1085,plain,
% 53.40/33.58 (nextState(constB1, constB2)),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[1084, 1083])).
% 53.40/33.58 tff(1086,plain,
% 53.40/33.58 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)))),
% 53.40/33.58 inference(bind,[status(th)],[])).
% 53.40/33.58 tff(1087,plain,
% 53.40/33.58 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 53.40/33.58 inference(quant_intro,[status(thm)],[1086])).
% 53.40/33.58 tff(1088,plain,
% 53.40/33.58 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 53.40/33.58 inference(rewrite,[status(thm)],[])).
% 53.40/33.58 tff(1089,plain,
% 53.40/33.58 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v108(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)))), ((((~nextState(VarCurr, VarNext)) | (~v108(VarCurr))) | v110(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v108(VarCurr))) | v110(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v108(VarCurr))) | v110(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))), ((((~nextState(VarCurr, VarNext)) | (~v108(VarCurr))) | v110(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))))),
% 53.40/33.58 inference(bind,[status(th)],[])).
% 53.40/33.58 tff(1090,plain,
% 53.40/33.58 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v108(VarCurr))) | v110(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 53.40/33.58 inference(quant_intro,[status(thm)],[1089])).
% 53.40/33.58 tff(1091,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v108(VarCurr))) | v110(VarNext))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_6_1_1')).
% 53.40/33.58 tff(1092,plain,
% 53.40/33.58 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[1091, 1090])).
% 53.40/33.58 tff(1093,plain,
% 53.40/33.58 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[1092, 1088])).
% 53.40/33.58 tff(1094,plain,(
% 53.40/33.58 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 53.40/33.58 inference(skolemize,[status(sab)],[1093])).
% 53.40/33.58 tff(1095,plain,
% 53.40/33.58 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[1094, 1087])).
% 53.40/33.58 tff(1096,plain,
% 53.40/33.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1)))),
% 53.40/33.58 inference(rewrite,[status(thm)],[])).
% 53.40/33.58 tff(1097,plain,
% 53.40/33.58 (((~nextState(constB1, constB2)) | (~v108(constB1)) | v110(constB2)) <=> ((~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1)))),
% 53.40/33.58 inference(rewrite,[status(thm)],[])).
% 53.40/33.58 tff(1098,plain,
% 53.40/33.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB1, constB2)) | (~v108(constB1)) | v110(constB2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1))))),
% 53.40/33.58 inference(monotonicity,[status(thm)],[1097])).
% 53.40/33.58 tff(1099,plain,
% 53.40/33.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB1, constB2)) | (~v108(constB1)) | v110(constB2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1)))),
% 53.40/33.58 inference(transitivity,[status(thm)],[1098, 1096])).
% 53.40/33.58 tff(1100,plain,
% 53.40/33.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB1, constB2)) | (~v108(constB1)) | v110(constB2))),
% 53.40/33.58 inference(quant_inst,[status(thm)],[])).
% 53.40/33.58 tff(1101,plain,
% 53.40/33.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB1, constB2)) | v110(constB2) | (~v108(constB1))),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[1100, 1099])).
% 53.40/33.58 tff(1102,plain,
% 53.40/33.58 (v110(constB2) | (~v108(constB1))),
% 53.40/33.58 inference(unit_resolution,[status(thm)],[1101, 1095, 1085])).
% 53.40/33.58 tff(1103,plain,
% 53.40/33.58 (v110(constB2)),
% 53.40/33.58 inference(unit_resolution,[status(thm)],[1102, 1082])).
% 53.40/33.58 tff(1104,plain,
% 53.40/33.58 (^[VarNext: state_type, VarCurr: state_type] : refl((v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))) <=> (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))))),
% 53.40/33.58 inference(bind,[status(th)],[])).
% 53.40/33.58 tff(1105,plain,
% 53.40/33.58 (![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 53.40/33.58 inference(quant_intro,[status(thm)],[1104])).
% 53.40/33.58 tff(1106,plain,
% 53.40/33.58 (![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 53.40/33.58 inference(rewrite,[status(thm)],[])).
% 53.40/33.58 tff(1107,plain,
% 53.40/33.58 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v104(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) | v1(VarCurr)) <=> (((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) | v1(VarCurr)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) | v1(VarCurr)) <=> (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) | v1(VarCurr)) <=> (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))))),
% 53.40/33.58 inference(bind,[status(th)],[])).
% 53.40/33.58 tff(1108,plain,
% 53.40/33.58 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) | v1(VarCurr)) <=> ![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 53.40/33.58 inference(quant_intro,[status(thm)],[1107])).
% 53.40/33.58 tff(1109,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) | v1(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_5_1_2')).
% 53.40/33.58 tff(1110,plain,
% 53.40/33.58 (![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[1109, 1108])).
% 53.40/33.58 tff(1111,plain,
% 53.40/33.58 (![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[1110, 1106])).
% 53.40/33.58 tff(1112,plain,(
% 53.40/33.58 ![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 53.40/33.58 inference(skolemize,[status(sab)],[1111])).
% 53.40/33.58 tff(1113,plain,
% 53.40/33.58 (![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[1112, 1105])).
% 53.40/33.58 tff(1114,plain,
% 53.40/33.58 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB1) | (~nextState(constB1, constB2)) | (~v104(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB1) | (~nextState(constB1, constB2)) | (~v104(constB2)))),
% 53.40/33.58 inference(rewrite,[status(thm)],[])).
% 53.40/33.58 tff(1115,plain,
% 53.40/33.58 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB1) | (~nextState(constB1, constB2)) | (~v104(constB2)))),
% 53.40/33.58 inference(quant_inst,[status(thm)],[])).
% 53.40/33.58 tff(1116,plain,
% 53.40/33.58 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB1) | (~nextState(constB1, constB2)) | (~v104(constB2))),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[1115, 1114])).
% 53.40/33.58 tff(1117,plain,
% 53.40/33.58 (~v104(constB2)),
% 53.40/33.58 inference(unit_resolution,[status(thm)],[1116, 1113, 1085, 860])).
% 53.40/33.58 tff(1118,plain,
% 53.40/33.58 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext)))),
% 53.40/33.58 inference(bind,[status(th)],[])).
% 53.40/33.58 tff(1119,plain,
% 53.40/33.58 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 53.40/33.58 inference(quant_intro,[status(thm)],[1118])).
% 53.40/33.58 tff(1120,plain,
% 53.40/33.58 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 53.40/33.58 inference(rewrite,[status(thm)],[])).
% 53.40/33.58 tff(1121,plain,
% 53.40/33.58 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v102(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v102(VarNext))), ((((~nextState(VarCurr, VarNext)) | v102(VarNext)) | v104(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | v102(VarNext)) | v104(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | v102(VarNext)) | v104(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))), ((((~nextState(VarCurr, VarNext)) | v102(VarNext)) | v104(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))))),
% 53.40/33.58 inference(bind,[status(th)],[])).
% 53.40/33.58 tff(1122,plain,
% 53.40/33.58 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | v102(VarNext)) | v104(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 53.40/33.58 inference(quant_intro,[status(thm)],[1121])).
% 53.40/33.58 tff(1123,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | v102(VarNext)) | v104(VarNext))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_12_1_2')).
% 53.40/33.58 tff(1124,plain,
% 53.40/33.58 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[1123, 1122])).
% 53.40/33.58 tff(1125,plain,
% 53.40/33.58 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[1124, 1120])).
% 53.40/33.58 tff(1126,plain,(
% 53.40/33.58 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 53.40/33.58 inference(skolemize,[status(sab)],[1125])).
% 53.40/33.58 tff(1127,plain,
% 53.40/33.58 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[1126, 1119])).
% 53.40/33.58 tff(1128,plain,
% 53.40/33.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB1, constB2)) | v102(constB2) | v104(constB2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB1, constB2)) | v102(constB2) | v104(constB2))),
% 53.40/33.58 inference(rewrite,[status(thm)],[])).
% 53.40/33.58 tff(1129,plain,
% 53.40/33.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB1, constB2)) | v102(constB2) | v104(constB2))),
% 53.40/33.58 inference(quant_inst,[status(thm)],[])).
% 53.40/33.58 tff(1130,plain,
% 53.40/33.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB1, constB2)) | v102(constB2) | v104(constB2)),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[1129, 1128])).
% 53.40/33.58 tff(1131,plain,
% 53.40/33.58 (v102(constB2) | v104(constB2)),
% 53.40/33.58 inference(unit_resolution,[status(thm)],[1130, 1127, 1085])).
% 53.40/33.58 tff(1132,plain,
% 53.40/33.58 (v102(constB2)),
% 53.40/33.58 inference(unit_resolution,[status(thm)],[1131, 1117])).
% 53.40/33.58 tff(1133,plain,
% 53.40/33.58 (v1(constB2) <=> v1(constB2)),
% 53.40/33.58 inference(rewrite,[status(thm)],[])).
% 53.40/33.58 tff(1134,axiom,(v1(constB2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_2_1')).
% 53.40/33.58 tff(1135,plain,
% 53.40/33.58 (v1(constB2)),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[1134, 1133])).
% 53.40/33.58 tff(1136,plain,
% 53.40/33.58 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext))))),
% 53.40/33.58 inference(bind,[status(th)],[])).
% 53.40/33.58 tff(1137,plain,
% 53.40/33.58 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 53.40/33.58 inference(quant_intro,[status(thm)],[1136])).
% 53.40/33.58 tff(1138,plain,
% 53.40/33.58 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 53.40/33.58 inference(rewrite,[status(thm)],[])).
% 53.40/33.58 tff(1139,plain,
% 53.40/33.58 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v102(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v102(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v102(VarNext))) | (~v1(VarNext))) <=> (((~nextState(VarCurr, VarNext)) | (~v102(VarNext))) | (~v1(VarNext))))), rewrite((((~nextState(VarCurr, VarNext)) | (~v102(VarNext))) | (~v1(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v102(VarNext)) | (~v1(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v102(VarNext))) | (~v1(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v102(VarNext)) | (~v1(VarNext))))), (((((~nextState(VarCurr, VarNext)) | (~v102(VarNext))) | (~v1(VarNext))) | v101(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v102(VarNext)) | (~v1(VarNext))) | v101(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v102(VarNext)) | (~v1(VarNext))) | v101(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))), (((((~nextState(VarCurr, VarNext)) | (~v102(VarNext))) | (~v1(VarNext))) | v101(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))))),
% 53.40/33.58 inference(bind,[status(th)],[])).
% 53.40/33.58 tff(1140,plain,
% 53.40/33.58 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | (~v102(VarNext))) | (~v1(VarNext))) | v101(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 53.40/33.58 inference(quant_intro,[status(thm)],[1139])).
% 53.40/33.58 tff(1141,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | (~v102(VarNext))) | (~v1(VarNext))) | v101(VarNext))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_18_1_1')).
% 53.40/33.58 tff(1142,plain,
% 53.40/33.58 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[1141, 1140])).
% 53.40/33.58 tff(1143,plain,
% 53.40/33.58 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[1142, 1138])).
% 53.40/33.58 tff(1144,plain,(
% 53.40/33.58 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 53.40/33.58 inference(skolemize,[status(sab)],[1143])).
% 53.40/33.58 tff(1145,plain,
% 53.40/33.58 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[1144, 1137])).
% 53.40/33.58 tff(1146,plain,
% 53.40/33.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB1, constB2)) | v101(constB2) | (~v102(constB2)) | (~v1(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB1, constB2)) | v101(constB2) | (~v102(constB2)) | (~v1(constB2)))),
% 53.40/33.58 inference(rewrite,[status(thm)],[])).
% 53.40/33.58 tff(1147,plain,
% 53.40/33.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB1, constB2)) | v101(constB2) | (~v102(constB2)) | (~v1(constB2)))),
% 53.40/33.58 inference(quant_inst,[status(thm)],[])).
% 53.40/33.58 tff(1148,plain,
% 53.40/33.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB1, constB2)) | v101(constB2) | (~v102(constB2)) | (~v1(constB2))),
% 53.40/33.58 inference(modus_ponens,[status(thm)],[1147, 1146])).
% 53.40/33.58 tff(1149,plain,
% 53.40/33.58 (v101(constB2) | (~v102(constB2))),
% 53.40/33.58 inference(unit_resolution,[status(thm)],[1148, 1145, 1085, 1135])).
% 53.40/33.58 tff(1150,plain,
% 53.40/33.58 (v101(constB2)),
% 53.40/33.58 inference(unit_resolution,[status(thm)],[1149, 1132])).
% 53.40/33.58 tff(1151,plain,
% 53.40/33.58 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext)))),
% 53.40/33.58 inference(bind,[status(th)],[])).
% 53.40/33.58 tff(1152,plain,
% 53.40/33.58 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 53.40/33.58 inference(quant_intro,[status(thm)],[1151])).
% 53.40/33.58 tff(1153,plain,
% 53.40/33.58 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 53.40/33.58 inference(rewrite,[status(thm)],[])).
% 53.40/33.58 tff(1154,plain,
% 53.40/33.58 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | (~v110(VarNext))) <=> (((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | (~v110(VarNext))))), rewrite((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | (~v110(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | (~v110(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext))))), (((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | (~v110(VarNext))) | v100(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext))) | v100(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext))) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))), (((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | (~v110(VarNext))) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))))),
% 53.40/33.58 inference(bind,[status(th)],[])).
% 53.40/33.58 tff(1155,plain,
% 53.40/33.58 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | (~v110(VarNext))) | v100(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 53.40/33.59 inference(quant_intro,[status(thm)],[1154])).
% 53.40/33.59 tff(1156,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | (~v101(VarNext))) | (~v110(VarNext))) | v100(VarNext))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_27_1_1')).
% 53.40/33.59 tff(1157,plain,
% 53.40/33.59 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 53.40/33.59 inference(modus_ponens,[status(thm)],[1156, 1155])).
% 53.40/33.59 tff(1158,plain,
% 53.40/33.59 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 53.40/33.59 inference(modus_ponens,[status(thm)],[1157, 1153])).
% 53.40/33.59 tff(1159,plain,(
% 53.40/33.59 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 53.40/33.59 inference(skolemize,[status(sab)],[1158])).
% 53.40/33.59 tff(1160,plain,
% 53.40/33.59 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))),
% 53.40/33.59 inference(modus_ponens,[status(thm)],[1159, 1152])).
% 53.40/33.59 tff(1161,plain,
% 53.40/33.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2)))),
% 53.40/33.59 inference(rewrite,[status(thm)],[])).
% 53.40/33.59 tff(1162,plain,
% 53.40/33.59 (((~nextState(constB1, constB2)) | (~v101(constB2)) | (~v110(constB2)) | v100(constB2)) <=> ((~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2)))),
% 53.40/33.59 inference(rewrite,[status(thm)],[])).
% 53.40/33.59 tff(1163,plain,
% 53.40/33.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB1, constB2)) | (~v101(constB2)) | (~v110(constB2)) | v100(constB2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2))))),
% 53.40/33.59 inference(monotonicity,[status(thm)],[1162])).
% 53.40/33.59 tff(1164,plain,
% 53.40/33.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB1, constB2)) | (~v101(constB2)) | (~v110(constB2)) | v100(constB2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2)))),
% 53.40/33.59 inference(transitivity,[status(thm)],[1163, 1161])).
% 53.40/33.59 tff(1165,plain,
% 53.40/33.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB1, constB2)) | (~v101(constB2)) | (~v110(constB2)) | v100(constB2))),
% 53.40/33.59 inference(quant_inst,[status(thm)],[])).
% 53.40/33.59 tff(1166,plain,
% 53.40/33.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB1, constB2)) | v100(constB2) | (~v101(constB2)) | (~v110(constB2))),
% 53.40/33.59 inference(modus_ponens,[status(thm)],[1165, 1164])).
% 53.40/33.59 tff(1167,plain,
% 53.40/33.59 (v100(constB2) | (~v101(constB2)) | (~v110(constB2))),
% 53.40/33.59 inference(unit_resolution,[status(thm)],[1166, 1160, 1085])).
% 53.40/33.59 tff(1168,plain,
% 53.40/33.59 (v100(constB2) | (~v110(constB2))),
% 53.40/33.59 inference(unit_resolution,[status(thm)],[1167, 1150])).
% 53.40/33.59 tff(1169,plain,
% 53.40/33.59 (v100(constB2)),
% 53.40/33.59 inference(unit_resolution,[status(thm)],[1168, 1103])).
% 53.40/33.59 tff(1170,plain,
% 53.40/33.59 (^[VarCurr: state_type] : refl(((~v119(VarCurr)) | (~v130(VarCurr, 2))) <=> ((~v119(VarCurr)) | (~v130(VarCurr, 2))))),
% 53.40/33.59 inference(bind,[status(th)],[])).
% 53.40/33.59 tff(1171,plain,
% 53.40/33.59 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))),
% 53.40/33.59 inference(quant_intro,[status(thm)],[1170])).
% 53.40/33.59 tff(1172,plain,
% 53.40/33.59 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))),
% 53.40/33.59 inference(rewrite,[status(thm)],[])).
% 53.40/33.59 tff(1173,axiom,(![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_4_3')).
% 53.40/33.59 tff(1174,plain,
% 53.40/33.59 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))),
% 53.40/33.59 inference(modus_ponens,[status(thm)],[1173, 1172])).
% 53.40/33.59 tff(1175,plain,(
% 53.40/33.59 ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))),
% 53.40/33.59 inference(skolemize,[status(sab)],[1174])).
% 53.40/33.59 tff(1176,plain,
% 53.40/33.59 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))),
% 53.40/33.59 inference(modus_ponens,[status(thm)],[1175, 1171])).
% 53.40/33.59 tff(1177,plain,
% 53.40/33.59 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB1)) | (~v130(constB1, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB1)) | (~v130(constB1, 2)))),
% 53.40/33.59 inference(rewrite,[status(thm)],[])).
% 53.40/33.59 tff(1178,plain,
% 53.40/33.59 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB1)) | (~v130(constB1, 2)))),
% 53.40/33.59 inference(quant_inst,[status(thm)],[])).
% 53.40/33.59 tff(1179,plain,
% 53.40/33.59 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB1)) | (~v130(constB1, 2))),
% 53.40/33.59 inference(modus_ponens,[status(thm)],[1178, 1177])).
% 53.40/33.59 tff(1180,plain,
% 53.40/33.59 (~v130(constB1, 2)),
% 53.40/33.59 inference(unit_resolution,[status(thm)],[1179, 1176, 975])).
% 53.40/33.59 tff(1181,plain,
% 53.40/33.59 (^[VarCurr: state_type] : refl((v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2))) <=> (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2))))),
% 53.40/33.59 inference(bind,[status(th)],[])).
% 53.40/33.59 tff(1182,plain,
% 53.40/33.59 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))),
% 53.40/33.59 inference(quant_intro,[status(thm)],[1181])).
% 53.40/33.59 tff(1183,plain,
% 53.40/33.59 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))),
% 53.40/33.59 inference(rewrite,[status(thm)],[])).
% 53.40/33.59 tff(1184,plain,
% 53.40/33.59 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v127(VarCurr, 2))) | v130(VarCurr, 2)) <=> (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2))))),
% 53.40/33.59 inference(bind,[status(th)],[])).
% 53.40/33.59 tff(1185,plain,
% 53.40/33.59 (![VarCurr: state_type] : ((v26(VarCurr) | (~v127(VarCurr, 2))) | v130(VarCurr, 2)) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))),
% 53.40/33.59 inference(quant_intro,[status(thm)],[1184])).
% 53.40/33.59 tff(1186,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v127(VarCurr, 2))) | v130(VarCurr, 2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_6')).
% 53.40/33.59 tff(1187,plain,
% 53.40/33.59 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))),
% 53.40/33.59 inference(modus_ponens,[status(thm)],[1186, 1185])).
% 53.40/33.59 tff(1188,plain,
% 53.40/33.59 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))),
% 53.40/33.59 inference(modus_ponens,[status(thm)],[1187, 1183])).
% 53.40/33.59 tff(1189,plain,(
% 53.40/33.59 ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))),
% 53.40/33.59 inference(skolemize,[status(sab)],[1188])).
% 53.40/33.59 tff(1190,plain,
% 53.40/33.59 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))),
% 53.40/33.59 inference(modus_ponens,[status(thm)],[1189, 1182])).
% 53.40/33.59 tff(1191,plain,
% 53.40/33.59 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB1, 2)) | v26(constB1) | v130(constB1, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB1, 2)) | v26(constB1) | v130(constB1, 2))),
% 53.40/33.59 inference(rewrite,[status(thm)],[])).
% 53.40/33.59 tff(1192,plain,
% 53.40/33.59 ((v26(constB1) | v130(constB1, 2) | (~v127(constB1, 2))) <=> ((~v127(constB1, 2)) | v26(constB1) | v130(constB1, 2))),
% 53.40/33.59 inference(rewrite,[status(thm)],[])).
% 53.40/33.59 tff(1193,plain,
% 53.40/33.59 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB1) | v130(constB1, 2) | (~v127(constB1, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB1, 2)) | v26(constB1) | v130(constB1, 2)))),
% 53.40/33.59 inference(monotonicity,[status(thm)],[1192])).
% 53.40/33.59 tff(1194,plain,
% 53.40/33.59 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB1) | v130(constB1, 2) | (~v127(constB1, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB1, 2)) | v26(constB1) | v130(constB1, 2))),
% 53.40/33.59 inference(transitivity,[status(thm)],[1193, 1191])).
% 53.40/33.59 tff(1195,plain,
% 53.40/33.59 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB1) | v130(constB1, 2) | (~v127(constB1, 2)))),
% 53.40/33.59 inference(quant_inst,[status(thm)],[])).
% 53.40/33.59 tff(1196,plain,
% 53.40/33.59 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB1, 2)) | v26(constB1) | v130(constB1, 2)),
% 53.40/33.59 inference(modus_ponens,[status(thm)],[1195, 1194])).
% 53.40/33.59 tff(1197,plain,
% 53.40/33.59 ((~v127(constB1, 2)) | v26(constB1)),
% 53.40/33.59 inference(unit_resolution,[status(thm)],[1196, 1190, 1180])).
% 53.40/33.59 tff(1198,plain,
% 53.40/33.59 (~v127(constB1, 2)),
% 53.40/33.59 inference(unit_resolution,[status(thm)],[1197, 857])).
% 53.40/33.59 tff(1199,plain,
% 53.40/33.59 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2))))),
% 53.40/33.59 inference(bind,[status(th)],[])).
% 53.40/33.59 tff(1200,plain,
% 53.40/33.59 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))),
% 53.40/33.59 inference(quant_intro,[status(thm)],[1199])).
% 53.40/33.59 tff(1201,plain,
% 53.40/33.59 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))),
% 53.40/33.59 inference(rewrite,[status(thm)],[])).
% 53.40/33.59 tff(1202,plain,
% 53.40/33.59 (^[VarNext: state_type, VarCurr: state_type] : rewrite((((~nextState(VarCurr, VarNext)) | (~v129(VarNext, 2))) | v127(VarCurr, 2)) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2))))),
% 53.40/33.59 inference(bind,[status(th)],[])).
% 53.40/33.59 tff(1203,plain,
% 53.40/33.59 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v129(VarNext, 2))) | v127(VarCurr, 2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))),
% 53.40/33.59 inference(quant_intro,[status(thm)],[1202])).
% 53.40/33.59 tff(1204,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v129(VarNext, 2))) | v127(VarCurr, 2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_6')).
% 53.40/33.59 tff(1205,plain,
% 53.40/33.59 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))),
% 53.40/33.59 inference(modus_ponens,[status(thm)],[1204, 1203])).
% 53.40/33.59 tff(1206,plain,
% 53.40/33.59 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))),
% 53.40/33.59 inference(modus_ponens,[status(thm)],[1205, 1201])).
% 53.40/33.59 tff(1207,plain,(
% 53.40/33.59 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))),
% 53.40/33.59 inference(skolemize,[status(sab)],[1206])).
% 53.40/33.59 tff(1208,plain,
% 53.40/33.59 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))),
% 53.40/33.59 inference(modus_ponens,[status(thm)],[1207, 1200])).
% 53.40/33.59 tff(1209,plain,
% 53.40/33.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB1, constB2)) | v127(constB1, 2) | (~v129(constB2, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB1, constB2)) | v127(constB1, 2) | (~v129(constB2, 2)))),
% 53.40/33.59 inference(rewrite,[status(thm)],[])).
% 53.40/33.59 tff(1210,plain,
% 53.40/33.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB1, constB2)) | v127(constB1, 2) | (~v129(constB2, 2)))),
% 53.40/33.59 inference(quant_inst,[status(thm)],[])).
% 53.40/33.59 tff(1211,plain,
% 53.40/33.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB1, constB2)) | v127(constB1, 2) | (~v129(constB2, 2))),
% 53.40/33.59 inference(modus_ponens,[status(thm)],[1210, 1209])).
% 53.40/33.59 tff(1212,plain,
% 53.40/33.59 (v127(constB1, 2) | (~v129(constB2, 2))),
% 53.40/33.59 inference(unit_resolution,[status(thm)],[1211, 1208, 1085])).
% 53.40/33.59 tff(1213,plain,
% 53.40/33.59 (~v129(constB2, 2)),
% 53.40/33.59 inference(unit_resolution,[status(thm)],[1212, 1198])).
% 53.40/33.59 tff(1214,plain,
% 53.40/33.59 (^[VarNext: state_type] : refl(((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext))) <=> ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext))))),
% 53.40/33.59 inference(bind,[status(th)],[])).
% 53.40/33.59 tff(1215,plain,
% 53.40/33.59 (![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext))) <=> ![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))),
% 53.40/33.59 inference(quant_intro,[status(thm)],[1214])).
% 53.40/33.59 tff(1216,plain,
% 53.40/33.59 (![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext))) <=> ![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))),
% 53.40/33.59 inference(rewrite,[status(thm)],[])).
% 53.40/33.59 tff(1217,plain,
% 53.40/33.59 (^[VarNext: state_type] : rewrite((((~v100(VarNext)) | (~v90(VarNext, 2))) | v129(VarNext, 2)) <=> ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext))))),
% 53.40/33.59 inference(bind,[status(th)],[])).
% 53.40/33.59 tff(1218,plain,
% 53.40/33.59 (![VarNext: state_type] : (((~v100(VarNext)) | (~v90(VarNext, 2))) | v129(VarNext, 2)) <=> ![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))),
% 53.40/33.59 inference(quant_intro,[status(thm)],[1217])).
% 53.40/33.59 tff(1219,axiom,(![VarNext: state_type] : (((~v100(VarNext)) | (~v90(VarNext, 2))) | v129(VarNext, 2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_6')).
% 53.40/33.59 tff(1220,plain,
% 53.40/33.59 (![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))),
% 53.40/33.59 inference(modus_ponens,[status(thm)],[1219, 1218])).
% 53.40/33.59 tff(1221,plain,
% 53.40/33.59 (![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))),
% 53.40/33.59 inference(modus_ponens,[status(thm)],[1220, 1216])).
% 53.40/33.59 tff(1222,plain,(
% 53.40/33.59 ![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))),
% 53.40/33.59 inference(skolemize,[status(sab)],[1221])).
% 53.40/33.59 tff(1223,plain,
% 53.40/33.59 (![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))),
% 53.40/33.59 inference(modus_ponens,[status(thm)],[1222, 1215])).
% 53.40/33.59 tff(1224,plain,
% 53.40/33.59 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB2, 2)) | v129(constB2, 2) | (~v100(constB2)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB2, 2)) | v129(constB2, 2) | (~v100(constB2)))),
% 53.40/33.59 inference(rewrite,[status(thm)],[])).
% 53.40/33.59 tff(1225,plain,
% 53.40/33.59 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB2, 2)) | v129(constB2, 2) | (~v100(constB2)))),
% 53.40/33.59 inference(quant_inst,[status(thm)],[])).
% 53.40/33.59 tff(1226,plain,
% 53.40/33.59 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB2, 2)) | v129(constB2, 2) | (~v100(constB2))),
% 53.40/33.59 inference(modus_ponens,[status(thm)],[1225, 1224])).
% 53.40/33.59 tff(1227,plain,
% 53.40/33.59 ((~v90(constB2, 2)) | (~v100(constB2))),
% 53.40/33.59 inference(unit_resolution,[status(thm)],[1226, 1223, 1213])).
% 53.40/33.59 tff(1228,plain,
% 53.40/33.59 (~v90(constB2, 2)),
% 53.40/33.59 inference(unit_resolution,[status(thm)],[1227, 1169])).
% 53.40/33.59 tff(1229,plain,
% 53.40/33.59 ((~v1(constB3)) <=> (~v1(constB3))),
% 53.40/33.59 inference(rewrite,[status(thm)],[])).
% 53.40/33.59 tff(1230,axiom,(~v1(constB3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_3_1_1')).
% 53.40/33.59 tff(1231,plain,
% 53.40/33.59 (~v1(constB3)),
% 53.40/33.59 inference(modus_ponens,[status(thm)],[1230, 1229])).
% 53.40/33.59 tff(1232,plain,
% 53.40/33.59 (nextState(constB2, constB3) <=> nextState(constB2, constB3)),
% 53.40/33.59 inference(rewrite,[status(thm)],[])).
% 53.40/33.59 tff(1233,axiom,(nextState(constB2, constB3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_2_1')).
% 53.40/33.59 tff(1234,plain,
% 53.40/33.59 (nextState(constB2, constB3)),
% 53.40/33.59 inference(modus_ponens,[status(thm)],[1233, 1232])).
% 53.40/33.59 tff(1235,plain,
% 53.40/33.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3)))),
% 53.40/33.59 inference(rewrite,[status(thm)],[])).
% 53.40/33.59 tff(1236,plain,
% 53.40/33.59 (((~nextState(constB2, constB3)) | (~v101(constB3)) | v1(constB3)) <=> (v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3)))),
% 53.40/33.59 inference(rewrite,[status(thm)],[])).
% 53.40/33.59 tff(1237,plain,
% 53.40/33.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB2, constB3)) | (~v101(constB3)) | v1(constB3))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3))))),
% 53.40/33.59 inference(monotonicity,[status(thm)],[1236])).
% 53.40/33.59 tff(1238,plain,
% 53.40/33.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB2, constB3)) | (~v101(constB3)) | v1(constB3))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3)))),
% 53.40/33.59 inference(transitivity,[status(thm)],[1237, 1235])).
% 53.40/33.59 tff(1239,plain,
% 53.40/33.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB2, constB3)) | (~v101(constB3)) | v1(constB3))),
% 53.40/33.59 inference(quant_inst,[status(thm)],[])).
% 53.40/33.59 tff(1240,plain,
% 53.40/33.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB3) | (~nextState(constB2, constB3)) | (~v101(constB3))),
% 53.40/33.59 inference(modus_ponens,[status(thm)],[1239, 1238])).
% 53.40/33.59 tff(1241,plain,
% 53.40/33.59 (~v101(constB3)),
% 53.40/33.59 inference(unit_resolution,[status(thm)],[1240, 873, 1234, 1231])).
% 53.40/33.59 tff(1242,plain,
% 53.40/33.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB2, constB3)) | v101(constB3) | (~v100(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB2, constB3)) | v101(constB3) | (~v100(constB3)))),
% 53.40/33.59 inference(rewrite,[status(thm)],[])).
% 53.40/33.59 tff(1243,plain,
% 53.40/33.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB2, constB3)) | v101(constB3) | (~v100(constB3)))),
% 53.40/33.59 inference(quant_inst,[status(thm)],[])).
% 53.40/33.59 tff(1244,plain,
% 53.40/33.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB2, constB3)) | v101(constB3) | (~v100(constB3))),
% 53.40/33.59 inference(modus_ponens,[status(thm)],[1243, 1242])).
% 53.40/33.59 tff(1245,plain,
% 53.40/33.59 (v101(constB3) | (~v100(constB3))),
% 53.40/33.59 inference(unit_resolution,[status(thm)],[1244, 890, 1234])).
% 53.40/33.59 tff(1246,plain,
% 53.40/33.59 (~v100(constB3)),
% 53.40/33.59 inference(unit_resolution,[status(thm)],[1245, 1241])).
% 53.40/33.59 tff(1247,plain,
% 53.40/33.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB2, 2) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB2, 2) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, 2)))),
% 53.40/33.59 inference(rewrite,[status(thm)],[])).
% 53.40/33.59 tff(1248,plain,
% 53.40/33.59 (((~nextState(constB2, constB3)) | v90(constB2, 2) | v100(constB3) | (~v90(constB3, 2))) <=> (v90(constB2, 2) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, 2)))),
% 53.40/33.59 inference(rewrite,[status(thm)],[])).
% 53.40/33.59 tff(1249,plain,
% 53.40/33.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB2, constB3)) | v90(constB2, 2) | v100(constB3) | (~v90(constB3, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB2, 2) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, 2))))),
% 53.40/33.59 inference(monotonicity,[status(thm)],[1248])).
% 53.40/33.59 tff(1250,plain,
% 53.40/33.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB2, constB3)) | v90(constB2, 2) | v100(constB3) | (~v90(constB3, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB2, 2) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, 2)))),
% 53.40/33.59 inference(transitivity,[status(thm)],[1249, 1247])).
% 53.40/33.59 tff(1251,plain,
% 53.40/33.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB2, constB3)) | v90(constB2, 2) | v100(constB3) | (~v90(constB3, 2)))),
% 53.40/33.59 inference(quant_inst,[status(thm)],[])).
% 53.40/33.59 tff(1252,plain,
% 53.40/33.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB2, 2) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, 2))),
% 53.40/33.59 inference(modus_ponens,[status(thm)],[1251, 1250])).
% 53.40/33.59 tff(1253,plain,
% 53.40/33.59 (v90(constB2, 2) | v100(constB3) | (~v90(constB3, 2))),
% 53.40/33.59 inference(unit_resolution,[status(thm)],[1252, 905, 1234])).
% 53.40/33.59 tff(1254,plain,
% 53.40/33.59 (v90(constB2, 2) | (~v90(constB3, 2))),
% 53.40/33.59 inference(unit_resolution,[status(thm)],[1253, 1246])).
% 53.40/33.59 tff(1255,plain,
% 53.40/33.59 (~v90(constB3, 2)),
% 53.40/33.59 inference(unit_resolution,[status(thm)],[1254, 1228])).
% 53.40/33.59 tff(1256,plain,
% 53.40/33.59 (^[VarCurr: state_type] : refl(((~v119(VarCurr)) | (~v130(VarCurr, 1))) <=> ((~v119(VarCurr)) | (~v130(VarCurr, 1))))),
% 53.40/33.59 inference(bind,[status(th)],[])).
% 53.40/33.59 tff(1257,plain,
% 53.40/33.59 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))),
% 53.40/33.59 inference(quant_intro,[status(thm)],[1256])).
% 53.40/33.59 tff(1258,plain,
% 53.40/33.59 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))),
% 53.40/33.59 inference(rewrite,[status(thm)],[])).
% 53.40/33.59 tff(1259,axiom,(![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_4_2')).
% 53.40/33.59 tff(1260,plain,
% 53.40/33.59 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))),
% 53.40/33.59 inference(modus_ponens,[status(thm)],[1259, 1258])).
% 53.40/33.59 tff(1261,plain,(
% 53.40/33.59 ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))),
% 53.40/33.59 inference(skolemize,[status(sab)],[1260])).
% 53.40/33.59 tff(1262,plain,
% 53.40/33.59 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))),
% 53.40/33.59 inference(modus_ponens,[status(thm)],[1261, 1257])).
% 53.40/33.59 tff(1263,plain,
% 53.40/33.59 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB1)) | (~v130(constB1, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB1)) | (~v130(constB1, 1)))),
% 53.40/33.59 inference(rewrite,[status(thm)],[])).
% 53.40/33.59 tff(1264,plain,
% 53.40/33.59 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB1)) | (~v130(constB1, 1)))),
% 53.40/33.59 inference(quant_inst,[status(thm)],[])).
% 53.40/33.59 tff(1265,plain,
% 53.40/33.59 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB1)) | (~v130(constB1, 1))),
% 53.40/33.59 inference(modus_ponens,[status(thm)],[1264, 1263])).
% 53.40/33.59 tff(1266,plain,
% 53.40/33.59 (~v130(constB1, 1)),
% 53.40/33.59 inference(unit_resolution,[status(thm)],[1265, 1262, 975])).
% 53.40/33.59 tff(1267,plain,
% 53.40/33.59 (^[VarCurr: state_type] : refl((v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1))) <=> (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1))))),
% 53.40/33.59 inference(bind,[status(th)],[])).
% 53.40/33.59 tff(1268,plain,
% 53.40/33.59 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))),
% 53.40/33.59 inference(quant_intro,[status(thm)],[1267])).
% 53.40/33.59 tff(1269,plain,
% 53.40/33.59 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))),
% 53.40/33.59 inference(rewrite,[status(thm)],[])).
% 53.40/33.59 tff(1270,plain,
% 53.40/33.59 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v127(VarCurr, 1))) | v130(VarCurr, 1)) <=> (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1))))),
% 53.40/33.59 inference(bind,[status(th)],[])).
% 53.40/33.59 tff(1271,plain,
% 53.40/33.59 (![VarCurr: state_type] : ((v26(VarCurr) | (~v127(VarCurr, 1))) | v130(VarCurr, 1)) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))),
% 53.40/33.59 inference(quant_intro,[status(thm)],[1270])).
% 53.40/33.59 tff(1272,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v127(VarCurr, 1))) | v130(VarCurr, 1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_4')).
% 53.40/33.59 tff(1273,plain,
% 53.40/33.59 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))),
% 53.40/33.59 inference(modus_ponens,[status(thm)],[1272, 1271])).
% 53.40/33.59 tff(1274,plain,
% 53.40/33.59 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))),
% 53.40/33.59 inference(modus_ponens,[status(thm)],[1273, 1269])).
% 53.40/33.59 tff(1275,plain,(
% 53.40/33.59 ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))),
% 53.40/33.59 inference(skolemize,[status(sab)],[1274])).
% 53.40/33.59 tff(1276,plain,
% 53.40/33.59 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))),
% 53.40/33.59 inference(modus_ponens,[status(thm)],[1275, 1268])).
% 53.40/33.59 tff(1277,plain,
% 53.40/33.59 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB1, 1)) | v26(constB1) | v130(constB1, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB1, 1)) | v26(constB1) | v130(constB1, 1))),
% 53.40/33.59 inference(rewrite,[status(thm)],[])).
% 53.40/33.59 tff(1278,plain,
% 53.40/33.59 ((v26(constB1) | v130(constB1, 1) | (~v127(constB1, 1))) <=> ((~v127(constB1, 1)) | v26(constB1) | v130(constB1, 1))),
% 53.40/33.59 inference(rewrite,[status(thm)],[])).
% 53.40/33.59 tff(1279,plain,
% 53.40/33.59 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB1) | v130(constB1, 1) | (~v127(constB1, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB1, 1)) | v26(constB1) | v130(constB1, 1)))),
% 53.40/33.59 inference(monotonicity,[status(thm)],[1278])).
% 53.40/33.59 tff(1280,plain,
% 53.40/33.59 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB1) | v130(constB1, 1) | (~v127(constB1, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB1, 1)) | v26(constB1) | v130(constB1, 1))),
% 53.40/33.59 inference(transitivity,[status(thm)],[1279, 1277])).
% 53.40/33.59 tff(1281,plain,
% 53.40/33.59 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB1) | v130(constB1, 1) | (~v127(constB1, 1)))),
% 53.40/33.59 inference(quant_inst,[status(thm)],[])).
% 53.40/33.59 tff(1282,plain,
% 53.40/33.59 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB1, 1)) | v26(constB1) | v130(constB1, 1)),
% 53.40/33.59 inference(modus_ponens,[status(thm)],[1281, 1280])).
% 53.40/33.59 tff(1283,plain,
% 53.40/33.59 ((~v127(constB1, 1)) | v26(constB1)),
% 53.40/33.59 inference(unit_resolution,[status(thm)],[1282, 1276, 1266])).
% 53.40/33.59 tff(1284,plain,
% 53.40/33.59 (~v127(constB1, 1)),
% 53.40/33.59 inference(unit_resolution,[status(thm)],[1283, 857])).
% 53.40/33.59 tff(1285,plain,
% 53.40/33.59 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1))))),
% 53.40/33.59 inference(bind,[status(th)],[])).
% 53.40/33.59 tff(1286,plain,
% 53.40/33.59 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))),
% 53.40/33.59 inference(quant_intro,[status(thm)],[1285])).
% 53.40/33.59 tff(1287,plain,
% 53.40/33.59 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))),
% 53.40/33.59 inference(rewrite,[status(thm)],[])).
% 53.40/33.59 tff(1288,plain,
% 53.40/33.59 (^[VarNext: state_type, VarCurr: state_type] : rewrite((((~nextState(VarCurr, VarNext)) | (~v129(VarNext, 1))) | v127(VarCurr, 1)) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1))))),
% 53.40/33.59 inference(bind,[status(th)],[])).
% 53.40/33.59 tff(1289,plain,
% 53.40/33.59 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v129(VarNext, 1))) | v127(VarCurr, 1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))),
% 53.40/33.59 inference(quant_intro,[status(thm)],[1288])).
% 53.40/33.59 tff(1290,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v129(VarNext, 1))) | v127(VarCurr, 1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_4')).
% 53.40/33.59 tff(1291,plain,
% 53.40/33.59 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))),
% 53.40/33.59 inference(modus_ponens,[status(thm)],[1290, 1289])).
% 53.40/33.59 tff(1292,plain,
% 53.40/33.59 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))),
% 53.40/33.59 inference(modus_ponens,[status(thm)],[1291, 1287])).
% 53.40/33.59 tff(1293,plain,(
% 53.40/33.59 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))),
% 53.40/33.59 inference(skolemize,[status(sab)],[1292])).
% 53.40/33.59 tff(1294,plain,
% 53.40/33.59 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))),
% 53.40/33.59 inference(modus_ponens,[status(thm)],[1293, 1286])).
% 53.40/33.59 tff(1295,plain,
% 53.40/33.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB1, constB2)) | v127(constB1, 1) | (~v129(constB2, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB1, constB2)) | v127(constB1, 1) | (~v129(constB2, 1)))),
% 53.40/33.59 inference(rewrite,[status(thm)],[])).
% 53.40/33.59 tff(1296,plain,
% 53.40/33.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB1, constB2)) | v127(constB1, 1) | (~v129(constB2, 1)))),
% 53.40/33.59 inference(quant_inst,[status(thm)],[])).
% 53.40/33.59 tff(1297,plain,
% 53.40/33.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB1, constB2)) | v127(constB1, 1) | (~v129(constB2, 1))),
% 53.40/33.59 inference(modus_ponens,[status(thm)],[1296, 1295])).
% 53.40/33.59 tff(1298,plain,
% 53.40/33.59 (v127(constB1, 1) | (~v129(constB2, 1))),
% 53.40/33.59 inference(unit_resolution,[status(thm)],[1297, 1294, 1085])).
% 53.40/33.59 tff(1299,plain,
% 53.40/33.59 (~v129(constB2, 1)),
% 53.40/33.59 inference(unit_resolution,[status(thm)],[1298, 1284])).
% 53.40/33.59 tff(1300,plain,
% 53.40/33.59 (^[VarNext: state_type] : refl(((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1)) <=> ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1)))),
% 53.40/33.59 inference(bind,[status(th)],[])).
% 53.40/33.59 tff(1301,plain,
% 53.40/33.59 (![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1)) <=> ![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))),
% 53.40/33.59 inference(quant_intro,[status(thm)],[1300])).
% 53.40/33.59 tff(1302,plain,
% 53.40/33.59 (![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1)) <=> ![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))),
% 53.40/33.59 inference(rewrite,[status(thm)],[])).
% 53.40/33.59 tff(1303,plain,
% 53.40/33.59 (^[VarNext: state_type] : rewrite((((~v100(VarNext)) | (~v90(VarNext, 1))) | v129(VarNext, 1)) <=> ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1)))),
% 53.40/33.59 inference(bind,[status(th)],[])).
% 53.40/33.59 tff(1304,plain,
% 53.40/33.59 (![VarNext: state_type] : (((~v100(VarNext)) | (~v90(VarNext, 1))) | v129(VarNext, 1)) <=> ![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))),
% 53.40/33.59 inference(quant_intro,[status(thm)],[1303])).
% 53.40/33.59 tff(1305,axiom,(![VarNext: state_type] : (((~v100(VarNext)) | (~v90(VarNext, 1))) | v129(VarNext, 1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_4')).
% 53.40/33.59 tff(1306,plain,
% 53.40/33.59 (![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))),
% 53.40/33.59 inference(modus_ponens,[status(thm)],[1305, 1304])).
% 53.40/33.59 tff(1307,plain,
% 53.40/33.59 (![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))),
% 53.40/33.59 inference(modus_ponens,[status(thm)],[1306, 1302])).
% 53.40/33.59 tff(1308,plain,(
% 53.40/33.59 ![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))),
% 53.40/33.59 inference(skolemize,[status(sab)],[1307])).
% 53.40/33.59 tff(1309,plain,
% 53.40/33.59 (![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))),
% 53.40/33.59 inference(modus_ponens,[status(thm)],[1308, 1301])).
% 53.40/33.59 tff(1310,plain,
% 53.40/33.59 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB2, 1)) | v129(constB2, 1) | (~v100(constB2)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB2, 1)) | v129(constB2, 1) | (~v100(constB2)))),
% 53.40/33.59 inference(rewrite,[status(thm)],[])).
% 53.40/33.59 tff(1311,plain,
% 53.40/33.59 (((~v90(constB2, 1)) | (~v100(constB2)) | v129(constB2, 1)) <=> ((~v90(constB2, 1)) | v129(constB2, 1) | (~v100(constB2)))),
% 53.40/33.59 inference(rewrite,[status(thm)],[])).
% 53.40/33.59 tff(1312,plain,
% 53.40/33.59 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB2, 1)) | (~v100(constB2)) | v129(constB2, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB2, 1)) | v129(constB2, 1) | (~v100(constB2))))),
% 53.40/33.59 inference(monotonicity,[status(thm)],[1311])).
% 53.40/33.59 tff(1313,plain,
% 53.40/33.59 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB2, 1)) | (~v100(constB2)) | v129(constB2, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB2, 1)) | v129(constB2, 1) | (~v100(constB2)))),
% 53.40/33.59 inference(transitivity,[status(thm)],[1312, 1310])).
% 53.40/33.59 tff(1314,plain,
% 53.40/33.59 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB2, 1)) | (~v100(constB2)) | v129(constB2, 1))),
% 53.40/33.59 inference(quant_inst,[status(thm)],[])).
% 53.40/33.59 tff(1315,plain,
% 53.40/33.59 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB2, 1)) | v129(constB2, 1) | (~v100(constB2))),
% 53.40/33.59 inference(modus_ponens,[status(thm)],[1314, 1313])).
% 53.40/33.59 tff(1316,plain,
% 53.40/33.59 ((~v90(constB2, 1)) | (~v100(constB2))),
% 53.40/33.59 inference(unit_resolution,[status(thm)],[1315, 1309, 1299])).
% 53.40/33.59 tff(1317,plain,
% 53.40/33.59 (~v90(constB2, 1)),
% 53.40/33.59 inference(unit_resolution,[status(thm)],[1316, 1169])).
% 53.40/33.59 tff(1318,plain,
% 53.40/33.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB2, 1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB2, 1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, 1)))),
% 53.40/33.59 inference(rewrite,[status(thm)],[])).
% 53.40/33.59 tff(1319,plain,
% 53.40/33.59 (((~nextState(constB2, constB3)) | v90(constB2, 1) | v100(constB3) | (~v90(constB3, 1))) <=> (v90(constB2, 1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, 1)))),
% 53.40/33.59 inference(rewrite,[status(thm)],[])).
% 53.40/33.59 tff(1320,plain,
% 53.40/33.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB2, constB3)) | v90(constB2, 1) | v100(constB3) | (~v90(constB3, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB2, 1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, 1))))),
% 53.40/33.59 inference(monotonicity,[status(thm)],[1319])).
% 53.40/33.59 tff(1321,plain,
% 53.40/33.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB2, constB3)) | v90(constB2, 1) | v100(constB3) | (~v90(constB3, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB2, 1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, 1)))),
% 53.40/33.59 inference(transitivity,[status(thm)],[1320, 1318])).
% 53.40/33.59 tff(1322,plain,
% 53.40/33.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB2, constB3)) | v90(constB2, 1) | v100(constB3) | (~v90(constB3, 1)))),
% 53.40/33.59 inference(quant_inst,[status(thm)],[])).
% 53.40/33.59 tff(1323,plain,
% 53.40/33.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB2, 1) | (~nextState(constB2, constB3)) | v100(constB3) | (~v90(constB3, 1))),
% 53.40/33.59 inference(modus_ponens,[status(thm)],[1322, 1321])).
% 53.40/33.59 tff(1324,plain,
% 53.40/33.59 (v90(constB2, 1) | v100(constB3) | (~v90(constB3, 1))),
% 53.40/33.59 inference(unit_resolution,[status(thm)],[1323, 926, 1234])).
% 53.40/33.59 tff(1325,plain,
% 53.40/33.59 (v90(constB2, 1) | (~v90(constB3, 1))),
% 53.40/33.59 inference(unit_resolution,[status(thm)],[1324, 1246])).
% 53.40/33.59 tff(1326,plain,
% 53.40/33.59 (~v90(constB3, 1)),
% 53.40/33.59 inference(unit_resolution,[status(thm)],[1325, 1317])).
% 53.40/33.59 tff(1327,plain,
% 53.40/33.59 (^[VarCurr: state_type] : refl(((~v119(VarCurr)) | v130(VarCurr, 0)) <=> ((~v119(VarCurr)) | v130(VarCurr, 0)))),
% 53.40/33.59 inference(bind,[status(th)],[])).
% 53.40/33.59 tff(1328,plain,
% 53.40/33.59 (![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))),
% 53.40/33.59 inference(quant_intro,[status(thm)],[1327])).
% 53.40/33.59 tff(1329,plain,
% 53.40/33.59 (![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))),
% 53.40/33.59 inference(rewrite,[status(thm)],[])).
% 53.40/33.59 tff(1330,axiom,(![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_4_1')).
% 53.40/33.59 tff(1331,plain,
% 53.40/33.59 (![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))),
% 53.40/33.59 inference(modus_ponens,[status(thm)],[1330, 1329])).
% 53.40/33.59 tff(1332,plain,(
% 53.40/33.59 ![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))),
% 53.40/33.59 inference(skolemize,[status(sab)],[1331])).
% 53.40/33.59 tff(1333,plain,
% 53.40/33.59 (![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))),
% 53.40/33.59 inference(modus_ponens,[status(thm)],[1332, 1328])).
% 53.40/33.59 tff(1334,plain,
% 53.40/33.59 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB1)) | v130(constB1, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB1)) | v130(constB1, 0))),
% 53.40/33.59 inference(rewrite,[status(thm)],[])).
% 53.40/33.59 tff(1335,plain,
% 53.40/33.59 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB1)) | v130(constB1, 0))),
% 53.40/33.59 inference(quant_inst,[status(thm)],[])).
% 53.40/33.59 tff(1336,plain,
% 53.40/33.59 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB1)) | v130(constB1, 0)),
% 53.40/33.59 inference(modus_ponens,[status(thm)],[1335, 1334])).
% 53.40/33.59 tff(1337,plain,
% 53.40/33.59 (v130(constB1, 0)),
% 53.40/33.59 inference(unit_resolution,[status(thm)],[1336, 1333, 975])).
% 53.40/33.59 tff(1338,plain,
% 53.40/33.59 (^[VarCurr: state_type] : refl((v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0)) <=> (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0)))),
% 53.40/33.59 inference(bind,[status(th)],[])).
% 53.40/33.59 tff(1339,plain,
% 53.40/33.59 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))),
% 53.40/33.59 inference(quant_intro,[status(thm)],[1338])).
% 53.40/33.59 tff(1340,plain,
% 53.40/33.59 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))),
% 53.40/33.59 inference(rewrite,[status(thm)],[])).
% 53.40/33.59 tff(1341,plain,
% 53.40/33.59 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v130(VarCurr, 0))) | v127(VarCurr, 0)) <=> (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0)))),
% 53.40/33.59 inference(bind,[status(th)],[])).
% 53.40/33.59 tff(1342,plain,
% 53.40/33.59 (![VarCurr: state_type] : ((v26(VarCurr) | (~v130(VarCurr, 0))) | v127(VarCurr, 0)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))),
% 53.40/33.59 inference(quant_intro,[status(thm)],[1341])).
% 53.40/33.59 tff(1343,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v130(VarCurr, 0))) | v127(VarCurr, 0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_1')).
% 53.40/33.59 tff(1344,plain,
% 53.40/33.59 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))),
% 53.40/33.59 inference(modus_ponens,[status(thm)],[1343, 1342])).
% 53.40/33.59 tff(1345,plain,
% 53.40/33.59 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))),
% 53.40/33.59 inference(modus_ponens,[status(thm)],[1344, 1340])).
% 53.40/33.59 tff(1346,plain,(
% 53.40/33.59 ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))),
% 53.40/33.59 inference(skolemize,[status(sab)],[1345])).
% 53.40/33.59 tff(1347,plain,
% 53.40/33.59 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))),
% 53.40/33.59 inference(modus_ponens,[status(thm)],[1346, 1339])).
% 53.40/33.59 tff(1348,plain,
% 53.40/33.59 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB1) | (~v130(constB1, 0)) | v127(constB1, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB1) | (~v130(constB1, 0)) | v127(constB1, 0))),
% 53.40/33.59 inference(rewrite,[status(thm)],[])).
% 53.40/33.59 tff(1349,plain,
% 53.40/33.59 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB1) | (~v130(constB1, 0)) | v127(constB1, 0))),
% 53.40/33.59 inference(quant_inst,[status(thm)],[])).
% 53.40/33.59 tff(1350,plain,
% 53.40/33.59 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB1) | (~v130(constB1, 0)) | v127(constB1, 0)),
% 53.40/33.59 inference(modus_ponens,[status(thm)],[1349, 1348])).
% 53.40/33.59 tff(1351,plain,
% 53.40/33.59 (v26(constB1) | v127(constB1, 0)),
% 53.40/33.59 inference(unit_resolution,[status(thm)],[1350, 1347, 1337])).
% 53.40/33.59 tff(1352,plain,
% 53.40/33.59 (v127(constB1, 0)),
% 53.40/33.59 inference(unit_resolution,[status(thm)],[1351, 857])).
% 53.40/33.59 tff(1353,plain,
% 53.40/33.59 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0)))),
% 53.40/33.59 inference(bind,[status(th)],[])).
% 53.40/33.59 tff(1354,plain,
% 53.40/33.59 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))),
% 53.40/33.59 inference(quant_intro,[status(thm)],[1353])).
% 53.40/33.59 tff(1355,plain,
% 53.40/33.59 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))),
% 53.40/33.59 inference(rewrite,[status(thm)],[])).
% 53.40/33.59 tff(1356,plain,
% 53.40/33.59 (^[VarNext: state_type, VarCurr: state_type] : rewrite((((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0))) | v129(VarNext, 0)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0)))),
% 53.40/33.59 inference(bind,[status(th)],[])).
% 53.40/33.59 tff(1357,plain,
% 53.40/33.59 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0))) | v129(VarNext, 0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))),
% 53.40/33.59 inference(quant_intro,[status(thm)],[1356])).
% 53.40/33.59 tff(1358,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0))) | v129(VarNext, 0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_1')).
% 53.40/33.59 tff(1359,plain,
% 53.40/33.59 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))),
% 53.40/33.59 inference(modus_ponens,[status(thm)],[1358, 1357])).
% 53.40/33.59 tff(1360,plain,
% 53.40/33.59 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))),
% 53.40/33.59 inference(modus_ponens,[status(thm)],[1359, 1355])).
% 53.40/33.59 tff(1361,plain,(
% 53.40/33.59 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))),
% 53.40/33.59 inference(skolemize,[status(sab)],[1360])).
% 53.40/33.59 tff(1362,plain,
% 53.40/33.59 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))),
% 53.40/33.59 inference(modus_ponens,[status(thm)],[1361, 1354])).
% 53.40/33.59 tff(1363,plain,
% 53.40/33.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB1, constB2)) | (~v127(constB1, 0)) | v129(constB2, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB1, constB2)) | (~v127(constB1, 0)) | v129(constB2, 0))),
% 53.40/33.59 inference(rewrite,[status(thm)],[])).
% 53.40/33.59 tff(1364,plain,
% 53.40/33.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB1, constB2)) | (~v127(constB1, 0)) | v129(constB2, 0))),
% 53.40/33.59 inference(quant_inst,[status(thm)],[])).
% 53.40/33.59 tff(1365,plain,
% 53.40/33.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB1, constB2)) | (~v127(constB1, 0)) | v129(constB2, 0)),
% 53.40/33.59 inference(modus_ponens,[status(thm)],[1364, 1363])).
% 53.40/33.59 tff(1366,plain,
% 53.40/33.59 ((~v127(constB1, 0)) | v129(constB2, 0)),
% 53.40/33.59 inference(unit_resolution,[status(thm)],[1365, 1362, 1085])).
% 53.40/33.59 tff(1367,plain,
% 53.40/33.59 (v129(constB2, 0)),
% 53.40/33.59 inference(unit_resolution,[status(thm)],[1366, 1352])).
% 53.40/33.59 tff(1368,plain,
% 53.40/33.59 (^[VarNext: state_type] : refl((v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0))) <=> (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0))))),
% 53.40/33.59 inference(bind,[status(th)],[])).
% 53.40/33.59 tff(1369,plain,
% 53.40/33.59 (![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0))) <=> ![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))),
% 53.40/33.59 inference(quant_intro,[status(thm)],[1368])).
% 53.40/33.59 tff(1370,plain,
% 53.40/33.59 (![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0))) <=> ![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))),
% 53.40/33.59 inference(rewrite,[status(thm)],[])).
% 53.40/33.59 tff(1371,plain,
% 53.40/33.59 (^[VarNext: state_type] : rewrite((((~v100(VarNext)) | (~v129(VarNext, 0))) | v90(VarNext, 0)) <=> (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0))))),
% 53.40/33.59 inference(bind,[status(th)],[])).
% 53.40/33.59 tff(1372,plain,
% 53.40/33.59 (![VarNext: state_type] : (((~v100(VarNext)) | (~v129(VarNext, 0))) | v90(VarNext, 0)) <=> ![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))),
% 53.40/33.59 inference(quant_intro,[status(thm)],[1371])).
% 53.40/33.59 tff(1373,axiom,(![VarNext: state_type] : (((~v100(VarNext)) | (~v129(VarNext, 0))) | v90(VarNext, 0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_1')).
% 53.40/33.59 tff(1374,plain,
% 53.40/33.59 (![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))),
% 53.40/33.59 inference(modus_ponens,[status(thm)],[1373, 1372])).
% 53.40/33.59 tff(1375,plain,
% 53.40/33.59 (![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))),
% 53.40/33.59 inference(modus_ponens,[status(thm)],[1374, 1370])).
% 53.40/33.59 tff(1376,plain,(
% 53.40/33.59 ![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))),
% 53.40/33.59 inference(skolemize,[status(sab)],[1375])).
% 53.40/33.59 tff(1377,plain,
% 53.40/33.59 (![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))),
% 53.40/33.59 inference(modus_ponens,[status(thm)],[1376, 1369])).
% 53.40/33.59 tff(1378,plain,
% 53.40/33.59 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB2, 0) | (~v129(constB2, 0)) | (~v100(constB2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB2, 0) | (~v129(constB2, 0)) | (~v100(constB2)))),
% 53.40/33.59 inference(rewrite,[status(thm)],[])).
% 53.40/33.59 tff(1379,plain,
% 53.40/33.59 ((v90(constB2, 0) | (~v100(constB2)) | (~v129(constB2, 0))) <=> (v90(constB2, 0) | (~v129(constB2, 0)) | (~v100(constB2)))),
% 53.40/33.59 inference(rewrite,[status(thm)],[])).
% 53.40/33.59 tff(1380,plain,
% 53.40/33.59 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB2, 0) | (~v100(constB2)) | (~v129(constB2, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB2, 0) | (~v129(constB2, 0)) | (~v100(constB2))))),
% 53.40/33.59 inference(monotonicity,[status(thm)],[1379])).
% 53.40/33.59 tff(1381,plain,
% 53.40/33.59 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB2, 0) | (~v100(constB2)) | (~v129(constB2, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB2, 0) | (~v129(constB2, 0)) | (~v100(constB2)))),
% 53.40/33.59 inference(transitivity,[status(thm)],[1380, 1378])).
% 53.40/33.59 tff(1382,plain,
% 53.40/33.59 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB2, 0) | (~v100(constB2)) | (~v129(constB2, 0)))),
% 53.40/33.59 inference(quant_inst,[status(thm)],[])).
% 53.40/33.59 tff(1383,plain,
% 53.40/33.59 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB2, 0) | (~v129(constB2, 0)) | (~v100(constB2))),
% 53.40/33.59 inference(modus_ponens,[status(thm)],[1382, 1381])).
% 53.40/33.59 tff(1384,plain,
% 53.40/33.59 (v90(constB2, 0) | (~v100(constB2))),
% 53.40/33.59 inference(unit_resolution,[status(thm)],[1383, 1377, 1367])).
% 53.40/33.59 tff(1385,plain,
% 53.40/33.59 (v90(constB2, 0)),
% 53.40/33.59 inference(unit_resolution,[status(thm)],[1384, 1169])).
% 53.40/33.59 tff(1386,plain,
% 53.40/33.59 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0)))),
% 53.40/33.59 inference(bind,[status(th)],[])).
% 53.40/33.59 tff(1387,plain,
% 53.40/33.59 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))),
% 53.40/33.59 inference(quant_intro,[status(thm)],[1386])).
% 53.40/33.59 tff(1388,plain,
% 53.40/33.59 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))),
% 53.40/33.59 inference(rewrite,[status(thm)],[])).
% 53.40/33.59 tff(1389,plain,
% 53.40/33.59 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 0))) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 0))))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 0))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 0))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext)))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 0))) | v90(VarNext, 0)) <=> (((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext)) | v90(VarNext, 0)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext)) | v90(VarNext, 0)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 0))) | v90(VarNext, 0)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))))),
% 53.40/33.60 inference(bind,[status(th)],[])).
% 53.40/33.60 tff(1390,plain,
% 53.40/33.60 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 0))) | v90(VarNext, 0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))),
% 53.40/33.60 inference(quant_intro,[status(thm)],[1389])).
% 53.40/33.60 tff(1391,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 0))) | v90(VarNext, 0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_1')).
% 53.40/33.60 tff(1392,plain,
% 53.40/33.60 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))),
% 53.40/33.60 inference(modus_ponens,[status(thm)],[1391, 1390])).
% 53.40/33.60 tff(1393,plain,
% 53.40/33.60 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))),
% 53.40/33.60 inference(modus_ponens,[status(thm)],[1392, 1388])).
% 53.40/33.60 tff(1394,plain,(
% 53.40/33.60 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))),
% 53.40/33.60 inference(skolemize,[status(sab)],[1393])).
% 53.40/33.60 tff(1395,plain,
% 53.40/33.60 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))),
% 53.40/33.60 inference(modus_ponens,[status(thm)],[1394, 1387])).
% 53.40/33.60 tff(1396,plain,
% 53.40/33.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB2, 0)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB2, 0)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, 0))),
% 53.40/33.60 inference(rewrite,[status(thm)],[])).
% 53.40/33.60 tff(1397,plain,
% 53.40/33.60 (((~nextState(constB2, constB3)) | (~v90(constB2, 0)) | v100(constB3) | v90(constB3, 0)) <=> ((~v90(constB2, 0)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, 0))),
% 53.40/33.60 inference(rewrite,[status(thm)],[])).
% 53.40/33.60 tff(1398,plain,
% 53.40/33.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB2, constB3)) | (~v90(constB2, 0)) | v100(constB3) | v90(constB3, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB2, 0)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, 0)))),
% 53.40/33.60 inference(monotonicity,[status(thm)],[1397])).
% 53.40/33.60 tff(1399,plain,
% 53.40/33.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB2, constB3)) | (~v90(constB2, 0)) | v100(constB3) | v90(constB3, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB2, 0)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, 0))),
% 53.40/33.60 inference(transitivity,[status(thm)],[1398, 1396])).
% 53.40/33.60 tff(1400,plain,
% 53.40/33.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB2, constB3)) | (~v90(constB2, 0)) | v100(constB3) | v90(constB3, 0))),
% 53.40/33.60 inference(quant_inst,[status(thm)],[])).
% 53.40/33.60 tff(1401,plain,
% 53.40/33.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB2, 0)) | (~nextState(constB2, constB3)) | v100(constB3) | v90(constB3, 0)),
% 53.40/33.60 inference(modus_ponens,[status(thm)],[1400, 1399])).
% 53.40/33.60 tff(1402,plain,
% 53.40/33.60 ((~v90(constB2, 0)) | v100(constB3) | v90(constB3, 0)),
% 53.40/33.60 inference(unit_resolution,[status(thm)],[1401, 1395, 1234])).
% 53.40/33.60 tff(1403,plain,
% 53.40/33.60 ((~v90(constB2, 0)) | v90(constB3, 0)),
% 53.40/33.60 inference(unit_resolution,[status(thm)],[1402, 1246])).
% 53.40/33.60 tff(1404,plain,
% 53.40/33.60 (v90(constB3, 0)),
% 53.40/33.60 inference(unit_resolution,[status(thm)],[1403, 1385])).
% 53.40/33.60 tff(1405,plain,
% 53.40/33.60 (^[VarCurr: state_type] : refl(((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr)) <=> ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr)))),
% 53.40/33.60 inference(bind,[status(th)],[])).
% 53.40/33.60 tff(1406,plain,
% 53.40/33.60 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))),
% 53.40/33.60 inference(quant_intro,[status(thm)],[1405])).
% 53.40/33.60 tff(1407,plain,
% 53.40/33.60 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))),
% 53.40/33.60 inference(rewrite,[status(thm)],[])).
% 53.40/33.60 tff(1408,plain,
% 53.40/33.60 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v90(VarCurr, 1) | v90(VarCurr, 2)) | (~v90(VarCurr, 0))) <=> ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2))), ((((v90(VarCurr, 1) | v90(VarCurr, 2)) | (~v90(VarCurr, 0))) | v120(VarCurr)) <=> (((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2)) | v120(VarCurr)))), rewrite((((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2)) | v120(VarCurr)) <=> ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))), ((((v90(VarCurr, 1) | v90(VarCurr, 2)) | (~v90(VarCurr, 0))) | v120(VarCurr)) <=> ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))))),
% 53.40/33.60 inference(bind,[status(th)],[])).
% 53.40/33.60 tff(1409,plain,
% 53.40/33.60 (![VarCurr: state_type] : (((v90(VarCurr, 1) | v90(VarCurr, 2)) | (~v90(VarCurr, 0))) | v120(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))),
% 53.40/33.60 inference(quant_intro,[status(thm)],[1408])).
% 53.40/33.60 tff(1410,axiom,(![VarCurr: state_type] : (((v90(VarCurr, 1) | v90(VarCurr, 2)) | (~v90(VarCurr, 0))) | v120(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3_1_1_1')).
% 53.40/33.60 tff(1411,plain,
% 53.40/33.60 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))),
% 53.40/33.60 inference(modus_ponens,[status(thm)],[1410, 1409])).
% 53.40/33.60 tff(1412,plain,
% 53.40/33.60 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))),
% 53.40/33.60 inference(modus_ponens,[status(thm)],[1411, 1407])).
% 53.40/33.60 tff(1413,plain,(
% 53.40/33.60 ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))),
% 53.40/33.60 inference(skolemize,[status(sab)],[1412])).
% 53.40/33.60 tff(1414,plain,
% 53.40/33.60 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))),
% 53.40/33.60 inference(modus_ponens,[status(thm)],[1413, 1406])).
% 53.40/33.60 tff(1415,plain,
% 53.40/33.60 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB3, 0)) | v90(constB3, 1) | v90(constB3, 2) | v120(constB3))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB3, 0)) | v90(constB3, 1) | v90(constB3, 2) | v120(constB3))),
% 53.40/33.60 inference(rewrite,[status(thm)],[])).
% 53.40/33.60 tff(1416,plain,
% 53.40/33.60 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB3, 0)) | v90(constB3, 1) | v90(constB3, 2) | v120(constB3))),
% 53.40/33.60 inference(quant_inst,[status(thm)],[])).
% 53.40/33.60 tff(1417,plain,
% 53.40/33.60 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB3, 0)) | v90(constB3, 1) | v90(constB3, 2) | v120(constB3)),
% 53.40/33.60 inference(modus_ponens,[status(thm)],[1416, 1415])).
% 53.40/33.60 tff(1418,plain,
% 53.40/33.60 (v120(constB3)),
% 53.40/33.60 inference(unit_resolution,[status(thm)],[1417, 1414, 1404, 1326, 1255])).
% 53.40/33.60 tff(1419,plain,
% 53.40/33.60 (^[VarCurr: state_type] : refl(((~v120(VarCurr)) | v118(VarCurr)) <=> ((~v120(VarCurr)) | v118(VarCurr)))),
% 53.40/33.60 inference(bind,[status(th)],[])).
% 53.40/33.60 tff(1420,plain,
% 53.40/33.60 (![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr)) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))),
% 53.40/33.60 inference(quant_intro,[status(thm)],[1419])).
% 53.40/33.60 tff(1421,plain,
% 53.40/33.60 (![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr)) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))),
% 53.40/33.60 inference(rewrite,[status(thm)],[])).
% 53.40/33.60 tff(1422,axiom,(![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_19_1_1')).
% 53.40/33.60 tff(1423,plain,
% 53.40/33.60 (![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))),
% 53.40/33.60 inference(modus_ponens,[status(thm)],[1422, 1421])).
% 53.40/33.60 tff(1424,plain,(
% 53.40/33.60 ![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))),
% 53.40/33.60 inference(skolemize,[status(sab)],[1423])).
% 53.40/33.60 tff(1425,plain,
% 53.40/33.60 (![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))),
% 53.40/33.60 inference(modus_ponens,[status(thm)],[1424, 1420])).
% 53.40/33.60 tff(1426,plain,
% 53.40/33.60 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB3) | (~v120(constB3)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB3) | (~v120(constB3)))),
% 53.40/33.60 inference(rewrite,[status(thm)],[])).
% 53.40/33.60 tff(1427,plain,
% 53.40/33.60 (((~v120(constB3)) | v118(constB3)) <=> (v118(constB3) | (~v120(constB3)))),
% 53.40/33.60 inference(rewrite,[status(thm)],[])).
% 53.40/33.60 tff(1428,plain,
% 53.40/33.60 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB3)) | v118(constB3))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB3) | (~v120(constB3))))),
% 53.40/33.60 inference(monotonicity,[status(thm)],[1427])).
% 53.40/33.60 tff(1429,plain,
% 53.40/33.60 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB3)) | v118(constB3))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB3) | (~v120(constB3)))),
% 53.40/33.60 inference(transitivity,[status(thm)],[1428, 1426])).
% 53.40/33.60 tff(1430,plain,
% 53.40/33.60 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB3)) | v118(constB3))),
% 53.40/33.60 inference(quant_inst,[status(thm)],[])).
% 53.40/33.60 tff(1431,plain,
% 53.40/33.60 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB3) | (~v120(constB3))),
% 53.40/33.60 inference(modus_ponens,[status(thm)],[1430, 1429])).
% 53.40/33.60 tff(1432,plain,
% 53.40/33.60 (v118(constB3)),
% 53.40/33.60 inference(unit_resolution,[status(thm)],[1431, 1425, 1418])).
% 53.40/33.60 tff(1433,plain,
% 53.40/33.60 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB3) | (~v118(constB3)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB3) | (~v118(constB3)))),
% 53.40/33.60 inference(rewrite,[status(thm)],[])).
% 53.40/33.60 tff(1434,plain,
% 53.40/33.60 (((~v118(constB3)) | v117(constB3)) <=> (v117(constB3) | (~v118(constB3)))),
% 53.40/33.60 inference(rewrite,[status(thm)],[])).
% 53.40/33.60 tff(1435,plain,
% 53.40/33.60 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB3)) | v117(constB3))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB3) | (~v118(constB3))))),
% 53.40/33.60 inference(monotonicity,[status(thm)],[1434])).
% 53.40/33.60 tff(1436,plain,
% 53.40/33.60 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB3)) | v117(constB3))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB3) | (~v118(constB3)))),
% 53.40/33.60 inference(transitivity,[status(thm)],[1435, 1433])).
% 53.40/33.60 tff(1437,plain,
% 53.40/33.60 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB3)) | v117(constB3))),
% 53.40/33.60 inference(quant_inst,[status(thm)],[])).
% 53.40/33.60 tff(1438,plain,
% 53.40/33.60 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB3) | (~v118(constB3))),
% 53.40/33.60 inference(modus_ponens,[status(thm)],[1437, 1436])).
% 53.40/33.60 tff(1439,plain,
% 53.40/33.60 (v117(constB3)),
% 53.40/33.60 inference(unit_resolution,[status(thm)],[1438, 993, 1432])).
% 53.40/33.60 tff(1440,plain,
% 53.40/33.60 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB3) | (~v117(constB3)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB3) | (~v117(constB3)))),
% 53.40/33.60 inference(rewrite,[status(thm)],[])).
% 53.40/33.60 tff(1441,plain,
% 53.40/33.60 (((~v117(constB3)) | v116(constB3)) <=> (v116(constB3) | (~v117(constB3)))),
% 53.40/33.60 inference(rewrite,[status(thm)],[])).
% 53.40/33.60 tff(1442,plain,
% 53.40/33.60 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB3)) | v116(constB3))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB3) | (~v117(constB3))))),
% 53.40/33.60 inference(monotonicity,[status(thm)],[1441])).
% 53.40/33.60 tff(1443,plain,
% 53.40/33.60 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB3)) | v116(constB3))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB3) | (~v117(constB3)))),
% 53.40/33.60 inference(transitivity,[status(thm)],[1442, 1440])).
% 53.40/33.60 tff(1444,plain,
% 53.40/33.60 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB3)) | v116(constB3))),
% 53.40/33.60 inference(quant_inst,[status(thm)],[])).
% 53.40/33.60 tff(1445,plain,
% 53.40/33.60 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB3) | (~v117(constB3))),
% 53.40/33.60 inference(modus_ponens,[status(thm)],[1444, 1443])).
% 53.40/33.60 tff(1446,plain,
% 53.40/33.60 (v116(constB3)),
% 53.40/33.60 inference(unit_resolution,[status(thm)],[1445, 1007, 1439])).
% 53.40/33.60 tff(1447,plain,
% 53.40/33.60 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB3) | (~v116(constB3)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB3) | (~v116(constB3)))),
% 53.40/33.60 inference(rewrite,[status(thm)],[])).
% 53.40/33.60 tff(1448,plain,
% 53.40/33.60 (((~v116(constB3)) | v115(constB3)) <=> (v115(constB3) | (~v116(constB3)))),
% 53.40/33.60 inference(rewrite,[status(thm)],[])).
% 53.40/33.60 tff(1449,plain,
% 53.40/33.60 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB3)) | v115(constB3))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB3) | (~v116(constB3))))),
% 53.40/33.60 inference(monotonicity,[status(thm)],[1448])).
% 53.40/33.60 tff(1450,plain,
% 53.40/33.60 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB3)) | v115(constB3))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB3) | (~v116(constB3)))),
% 53.40/33.60 inference(transitivity,[status(thm)],[1449, 1447])).
% 53.40/33.60 tff(1451,plain,
% 53.40/33.60 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB3)) | v115(constB3))),
% 53.40/33.60 inference(quant_inst,[status(thm)],[])).
% 53.40/33.60 tff(1452,plain,
% 53.40/33.60 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB3) | (~v116(constB3))),
% 53.40/33.60 inference(modus_ponens,[status(thm)],[1451, 1450])).
% 53.40/33.60 tff(1453,plain,
% 53.40/33.60 (v115(constB3)),
% 53.40/33.60 inference(unit_resolution,[status(thm)],[1452, 1021, 1446])).
% 53.40/33.60 tff(1454,plain,
% 53.40/33.60 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB3) | (~v115(constB3)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB3) | (~v115(constB3)))),
% 53.40/33.60 inference(rewrite,[status(thm)],[])).
% 53.40/33.60 tff(1455,plain,
% 53.40/33.60 (((~v115(constB3)) | v114(constB3)) <=> (v114(constB3) | (~v115(constB3)))),
% 53.40/33.60 inference(rewrite,[status(thm)],[])).
% 53.40/33.60 tff(1456,plain,
% 53.40/33.60 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB3)) | v114(constB3))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB3) | (~v115(constB3))))),
% 53.40/33.60 inference(monotonicity,[status(thm)],[1455])).
% 53.40/33.60 tff(1457,plain,
% 53.40/33.60 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB3)) | v114(constB3))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB3) | (~v115(constB3)))),
% 53.40/33.60 inference(transitivity,[status(thm)],[1456, 1454])).
% 53.40/33.60 tff(1458,plain,
% 53.40/33.60 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB3)) | v114(constB3))),
% 53.40/33.60 inference(quant_inst,[status(thm)],[])).
% 53.40/33.60 tff(1459,plain,
% 53.40/33.60 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB3) | (~v115(constB3))),
% 53.40/33.60 inference(modus_ponens,[status(thm)],[1458, 1457])).
% 53.40/33.60 tff(1460,plain,
% 53.40/33.60 (v114(constB3)),
% 53.40/33.60 inference(unit_resolution,[status(thm)],[1459, 1035, 1453])).
% 53.40/33.60 tff(1461,plain,
% 53.40/33.60 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB3) | (~v114(constB3)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB3) | (~v114(constB3)))),
% 53.40/33.60 inference(rewrite,[status(thm)],[])).
% 53.40/33.60 tff(1462,plain,
% 53.40/33.60 (((~v114(constB3)) | v113(constB3)) <=> (v113(constB3) | (~v114(constB3)))),
% 53.40/33.60 inference(rewrite,[status(thm)],[])).
% 53.40/33.60 tff(1463,plain,
% 53.40/33.60 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB3)) | v113(constB3))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB3) | (~v114(constB3))))),
% 53.40/33.60 inference(monotonicity,[status(thm)],[1462])).
% 53.40/33.60 tff(1464,plain,
% 53.40/33.60 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB3)) | v113(constB3))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB3) | (~v114(constB3)))),
% 53.40/33.60 inference(transitivity,[status(thm)],[1463, 1461])).
% 53.40/33.60 tff(1465,plain,
% 53.40/33.60 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB3)) | v113(constB3))),
% 53.40/33.60 inference(quant_inst,[status(thm)],[])).
% 53.40/33.60 tff(1466,plain,
% 53.40/33.60 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB3) | (~v114(constB3))),
% 53.40/33.60 inference(modus_ponens,[status(thm)],[1465, 1464])).
% 53.40/33.60 tff(1467,plain,
% 53.40/33.60 (v113(constB3)),
% 53.40/33.60 inference(unit_resolution,[status(thm)],[1466, 1049, 1460])).
% 53.40/33.60 tff(1468,plain,
% 53.40/33.60 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB3) | v112(constB3) | (~v113(constB3)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB3) | v112(constB3) | (~v113(constB3)))),
% 53.40/33.60 inference(rewrite,[status(thm)],[])).
% 53.40/33.60 tff(1469,plain,
% 53.40/33.60 ((v26(constB3) | (~v113(constB3)) | v112(constB3)) <=> (v26(constB3) | v112(constB3) | (~v113(constB3)))),
% 53.40/33.60 inference(rewrite,[status(thm)],[])).
% 53.40/33.60 tff(1470,plain,
% 53.40/33.60 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB3) | (~v113(constB3)) | v112(constB3))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB3) | v112(constB3) | (~v113(constB3))))),
% 53.40/33.60 inference(monotonicity,[status(thm)],[1469])).
% 53.40/33.60 tff(1471,plain,
% 53.40/33.60 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB3) | (~v113(constB3)) | v112(constB3))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB3) | v112(constB3) | (~v113(constB3)))),
% 53.40/33.60 inference(transitivity,[status(thm)],[1470, 1468])).
% 53.40/33.60 tff(1472,plain,
% 53.40/33.60 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB3) | (~v113(constB3)) | v112(constB3))),
% 53.40/33.60 inference(quant_inst,[status(thm)],[])).
% 53.40/33.60 tff(1473,plain,
% 53.40/33.60 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB3) | v112(constB3) | (~v113(constB3))),
% 53.40/33.60 inference(modus_ponens,[status(thm)],[1472, 1471])).
% 53.40/33.60 tff(1474,plain,
% 53.40/33.60 (v26(constB3) | v112(constB3)),
% 53.40/33.60 inference(unit_resolution,[status(thm)],[1473, 1063, 1467])).
% 53.40/33.60 tff(1475,plain,
% 53.40/33.60 (v112(constB3)),
% 53.40/33.60 inference(unit_resolution,[status(thm)],[1474, 853])).
% 53.40/33.60 tff(1476,plain,
% 53.40/33.60 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB3) | (~v112(constB3)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB3) | (~v112(constB3)))),
% 53.40/33.60 inference(rewrite,[status(thm)],[])).
% 53.40/33.60 tff(1477,plain,
% 53.40/33.60 (((~v112(constB3)) | v108(constB3)) <=> (v108(constB3) | (~v112(constB3)))),
% 53.40/33.60 inference(rewrite,[status(thm)],[])).
% 53.40/33.60 tff(1478,plain,
% 53.40/33.60 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB3)) | v108(constB3))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB3) | (~v112(constB3))))),
% 53.40/33.60 inference(monotonicity,[status(thm)],[1477])).
% 53.40/33.60 tff(1479,plain,
% 53.40/33.60 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB3)) | v108(constB3))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB3) | (~v112(constB3)))),
% 53.40/33.60 inference(transitivity,[status(thm)],[1478, 1476])).
% 53.40/33.60 tff(1480,plain,
% 53.40/33.60 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB3)) | v108(constB3))),
% 53.40/33.60 inference(quant_inst,[status(thm)],[])).
% 53.40/33.60 tff(1481,plain,
% 53.40/33.60 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB3) | (~v112(constB3))),
% 53.40/33.60 inference(modus_ponens,[status(thm)],[1480, 1479])).
% 53.40/33.60 tff(1482,plain,
% 53.40/33.60 (v108(constB3)),
% 53.40/33.60 inference(unit_resolution,[status(thm)],[1481, 1075, 1475])).
% 53.40/33.60 tff(1483,plain,
% 53.40/33.60 (nextState(constB3, constB4) <=> nextState(constB3, constB4)),
% 53.40/33.60 inference(rewrite,[status(thm)],[])).
% 53.40/33.60 tff(1484,axiom,(nextState(constB3, constB4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_3_1')).
% 53.40/33.60 tff(1485,plain,
% 53.40/33.60 (nextState(constB3, constB4)),
% 53.40/33.60 inference(modus_ponens,[status(thm)],[1484, 1483])).
% 53.40/33.60 tff(1486,plain,
% 53.40/33.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3)))),
% 53.40/33.60 inference(rewrite,[status(thm)],[])).
% 53.40/33.60 tff(1487,plain,
% 53.40/33.60 (((~nextState(constB3, constB4)) | (~v108(constB3)) | v110(constB4)) <=> ((~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3)))),
% 53.40/33.60 inference(rewrite,[status(thm)],[])).
% 53.40/33.60 tff(1488,plain,
% 53.40/33.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB3, constB4)) | (~v108(constB3)) | v110(constB4))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3))))),
% 53.40/33.60 inference(monotonicity,[status(thm)],[1487])).
% 53.40/33.60 tff(1489,plain,
% 53.40/33.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB3, constB4)) | (~v108(constB3)) | v110(constB4))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3)))),
% 53.40/33.60 inference(transitivity,[status(thm)],[1488, 1486])).
% 53.40/33.60 tff(1490,plain,
% 53.40/33.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB3, constB4)) | (~v108(constB3)) | v110(constB4))),
% 53.40/33.60 inference(quant_inst,[status(thm)],[])).
% 53.40/33.60 tff(1491,plain,
% 53.40/33.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB3, constB4)) | v110(constB4) | (~v108(constB3))),
% 53.40/33.60 inference(modus_ponens,[status(thm)],[1490, 1489])).
% 53.40/33.60 tff(1492,plain,
% 53.40/33.60 (v110(constB4) | (~v108(constB3))),
% 53.40/33.60 inference(unit_resolution,[status(thm)],[1491, 1095, 1485])).
% 53.40/33.60 tff(1493,plain,
% 53.40/33.60 (v110(constB4)),
% 53.40/33.60 inference(unit_resolution,[status(thm)],[1492, 1482])).
% 53.40/33.60 tff(1494,plain,
% 53.40/33.60 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB3) | (~nextState(constB3, constB4)) | (~v104(constB4)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB3) | (~nextState(constB3, constB4)) | (~v104(constB4)))),
% 53.40/33.60 inference(rewrite,[status(thm)],[])).
% 53.40/33.60 tff(1495,plain,
% 53.40/33.60 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB3) | (~nextState(constB3, constB4)) | (~v104(constB4)))),
% 53.40/33.60 inference(quant_inst,[status(thm)],[])).
% 53.40/33.60 tff(1496,plain,
% 53.40/33.60 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB3) | (~nextState(constB3, constB4)) | (~v104(constB4))),
% 53.40/33.60 inference(modus_ponens,[status(thm)],[1495, 1494])).
% 53.40/33.60 tff(1497,plain,
% 53.40/33.60 (~v104(constB4)),
% 53.40/33.60 inference(unit_resolution,[status(thm)],[1496, 1113, 1485, 1231])).
% 53.40/33.60 tff(1498,plain,
% 53.40/33.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB3, constB4)) | v102(constB4) | v104(constB4))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB3, constB4)) | v102(constB4) | v104(constB4))),
% 53.40/33.60 inference(rewrite,[status(thm)],[])).
% 53.40/33.60 tff(1499,plain,
% 53.40/33.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB3, constB4)) | v102(constB4) | v104(constB4))),
% 53.40/33.60 inference(quant_inst,[status(thm)],[])).
% 53.40/33.60 tff(1500,plain,
% 53.40/33.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB3, constB4)) | v102(constB4) | v104(constB4)),
% 53.40/33.60 inference(modus_ponens,[status(thm)],[1499, 1498])).
% 53.40/33.60 tff(1501,plain,
% 53.40/33.60 (v102(constB4) | v104(constB4)),
% 53.40/33.60 inference(unit_resolution,[status(thm)],[1500, 1127, 1485])).
% 53.40/33.60 tff(1502,plain,
% 53.40/33.60 (v102(constB4)),
% 53.40/33.60 inference(unit_resolution,[status(thm)],[1501, 1497])).
% 53.40/33.60 tff(1503,plain,
% 53.40/33.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB3, constB4)) | v101(constB4) | (~v102(constB4)) | (~v1(constB4)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB3, constB4)) | v101(constB4) | (~v102(constB4)) | (~v1(constB4)))),
% 53.40/33.60 inference(rewrite,[status(thm)],[])).
% 53.40/33.60 tff(1504,plain,
% 53.40/33.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB3, constB4)) | v101(constB4) | (~v102(constB4)) | (~v1(constB4)))),
% 53.40/33.60 inference(quant_inst,[status(thm)],[])).
% 53.40/33.60 tff(1505,plain,
% 53.40/33.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB3, constB4)) | v101(constB4) | (~v102(constB4)) | (~v1(constB4))),
% 53.40/33.60 inference(modus_ponens,[status(thm)],[1504, 1503])).
% 53.40/33.60 tff(1506,plain,
% 53.40/33.60 (v101(constB4) | (~v102(constB4))),
% 53.40/33.60 inference(unit_resolution,[status(thm)],[1505, 1145, 1485, 365])).
% 53.40/33.60 tff(1507,plain,
% 53.40/33.60 (v101(constB4)),
% 53.40/33.60 inference(unit_resolution,[status(thm)],[1506, 1502])).
% 53.40/33.60 tff(1508,plain,
% 53.40/33.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4)))),
% 53.40/33.60 inference(rewrite,[status(thm)],[])).
% 53.40/33.60 tff(1509,plain,
% 53.40/33.60 (((~nextState(constB3, constB4)) | (~v101(constB4)) | (~v110(constB4)) | v100(constB4)) <=> ((~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4)))),
% 53.40/33.60 inference(rewrite,[status(thm)],[])).
% 53.40/33.60 tff(1510,plain,
% 53.40/33.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB3, constB4)) | (~v101(constB4)) | (~v110(constB4)) | v100(constB4))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4))))),
% 53.40/33.60 inference(monotonicity,[status(thm)],[1509])).
% 53.40/33.60 tff(1511,plain,
% 53.40/33.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB3, constB4)) | (~v101(constB4)) | (~v110(constB4)) | v100(constB4))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4)))),
% 53.40/33.60 inference(transitivity,[status(thm)],[1510, 1508])).
% 53.40/33.60 tff(1512,plain,
% 53.40/33.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB3, constB4)) | (~v101(constB4)) | (~v110(constB4)) | v100(constB4))),
% 53.40/33.60 inference(quant_inst,[status(thm)],[])).
% 53.40/33.60 tff(1513,plain,
% 53.40/33.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB3, constB4)) | v100(constB4) | (~v101(constB4)) | (~v110(constB4))),
% 53.40/33.60 inference(modus_ponens,[status(thm)],[1512, 1511])).
% 53.40/33.60 tff(1514,plain,
% 53.40/33.60 (v100(constB4) | (~v101(constB4)) | (~v110(constB4))),
% 53.40/33.60 inference(unit_resolution,[status(thm)],[1513, 1160, 1485])).
% 53.40/33.60 tff(1515,plain,
% 53.40/33.60 (v100(constB4) | (~v110(constB4))),
% 53.40/33.60 inference(unit_resolution,[status(thm)],[1514, 1507])).
% 53.40/33.60 tff(1516,plain,
% 53.40/33.60 (v100(constB4)),
% 53.40/33.60 inference(unit_resolution,[status(thm)],[1515, 1493])).
% 53.40/33.60 tff(1517,plain,
% 53.40/33.60 (^[VarCurr: state_type] : refl(((~v120(VarCurr)) | (~v130(VarCurr, 2))) <=> ((~v120(VarCurr)) | (~v130(VarCurr, 2))))),
% 53.40/33.60 inference(bind,[status(th)],[])).
% 53.40/33.60 tff(1518,plain,
% 53.40/33.60 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))),
% 53.40/33.60 inference(quant_intro,[status(thm)],[1517])).
% 53.40/33.60 tff(1519,plain,
% 53.40/33.60 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))),
% 53.40/33.60 inference(rewrite,[status(thm)],[])).
% 53.40/33.60 tff(1520,axiom,(![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_4_3')).
% 53.40/33.60 tff(1521,plain,
% 53.40/33.60 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))),
% 53.40/33.60 inference(modus_ponens,[status(thm)],[1520, 1519])).
% 53.40/33.60 tff(1522,plain,(
% 53.40/33.60 ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))),
% 53.40/33.60 inference(skolemize,[status(sab)],[1521])).
% 53.40/33.60 tff(1523,plain,
% 53.40/33.60 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))),
% 53.40/33.60 inference(modus_ponens,[status(thm)],[1522, 1518])).
% 53.40/33.60 tff(1524,plain,
% 53.40/33.60 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB3)) | (~v130(constB3, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB3)) | (~v130(constB3, 2)))),
% 53.40/33.60 inference(rewrite,[status(thm)],[])).
% 53.40/33.60 tff(1525,plain,
% 53.40/33.60 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB3)) | (~v130(constB3, 2)))),
% 53.40/33.60 inference(quant_inst,[status(thm)],[])).
% 53.40/33.60 tff(1526,plain,
% 53.40/33.60 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB3)) | (~v130(constB3, 2))),
% 53.40/33.60 inference(modus_ponens,[status(thm)],[1525, 1524])).
% 53.40/33.60 tff(1527,plain,
% 53.40/33.60 (~v130(constB3, 2)),
% 53.40/33.60 inference(unit_resolution,[status(thm)],[1526, 1523, 1418])).
% 53.40/33.60 tff(1528,plain,
% 53.40/33.60 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB3, 2)) | v26(constB3) | v130(constB3, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB3, 2)) | v26(constB3) | v130(constB3, 2))),
% 53.40/33.60 inference(rewrite,[status(thm)],[])).
% 53.40/33.60 tff(1529,plain,
% 53.40/33.60 ((v26(constB3) | v130(constB3, 2) | (~v127(constB3, 2))) <=> ((~v127(constB3, 2)) | v26(constB3) | v130(constB3, 2))),
% 53.40/33.60 inference(rewrite,[status(thm)],[])).
% 53.40/33.60 tff(1530,plain,
% 53.40/33.60 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB3) | v130(constB3, 2) | (~v127(constB3, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB3, 2)) | v26(constB3) | v130(constB3, 2)))),
% 53.40/33.60 inference(monotonicity,[status(thm)],[1529])).
% 53.40/33.60 tff(1531,plain,
% 53.40/33.60 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB3) | v130(constB3, 2) | (~v127(constB3, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB3, 2)) | v26(constB3) | v130(constB3, 2))),
% 53.40/33.60 inference(transitivity,[status(thm)],[1530, 1528])).
% 53.40/33.60 tff(1532,plain,
% 53.40/33.60 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB3) | v130(constB3, 2) | (~v127(constB3, 2)))),
% 53.40/33.60 inference(quant_inst,[status(thm)],[])).
% 53.40/33.60 tff(1533,plain,
% 53.40/33.60 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB3, 2)) | v26(constB3) | v130(constB3, 2)),
% 53.40/33.60 inference(modus_ponens,[status(thm)],[1532, 1531])).
% 53.40/33.60 tff(1534,plain,
% 53.40/33.60 ((~v127(constB3, 2)) | v26(constB3)),
% 53.40/33.60 inference(unit_resolution,[status(thm)],[1533, 1190, 1527])).
% 53.40/33.60 tff(1535,plain,
% 53.40/33.60 (~v127(constB3, 2)),
% 53.40/33.60 inference(unit_resolution,[status(thm)],[1534, 853])).
% 53.40/33.60 tff(1536,plain,
% 53.40/33.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB3, constB4)) | v127(constB3, 2) | (~v129(constB4, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB3, constB4)) | v127(constB3, 2) | (~v129(constB4, 2)))),
% 53.40/33.60 inference(rewrite,[status(thm)],[])).
% 53.40/33.60 tff(1537,plain,
% 53.40/33.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB3, constB4)) | v127(constB3, 2) | (~v129(constB4, 2)))),
% 53.40/33.60 inference(quant_inst,[status(thm)],[])).
% 53.40/33.60 tff(1538,plain,
% 53.40/33.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB3, constB4)) | v127(constB3, 2) | (~v129(constB4, 2))),
% 53.40/33.60 inference(modus_ponens,[status(thm)],[1537, 1536])).
% 53.40/33.60 tff(1539,plain,
% 53.40/33.60 (v127(constB3, 2) | (~v129(constB4, 2))),
% 53.40/33.60 inference(unit_resolution,[status(thm)],[1538, 1208, 1485])).
% 53.40/33.60 tff(1540,plain,
% 53.40/33.60 (~v129(constB4, 2)),
% 53.40/33.60 inference(unit_resolution,[status(thm)],[1539, 1535])).
% 53.40/33.60 tff(1541,plain,
% 53.40/33.60 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB4, 2)) | v129(constB4, 2) | (~v100(constB4)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB4, 2)) | v129(constB4, 2) | (~v100(constB4)))),
% 53.40/33.60 inference(rewrite,[status(thm)],[])).
% 53.40/33.60 tff(1542,plain,
% 53.40/33.60 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB4, 2)) | v129(constB4, 2) | (~v100(constB4)))),
% 53.40/33.60 inference(quant_inst,[status(thm)],[])).
% 53.40/33.60 tff(1543,plain,
% 53.40/33.60 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB4, 2)) | v129(constB4, 2) | (~v100(constB4))),
% 53.40/33.60 inference(modus_ponens,[status(thm)],[1542, 1541])).
% 53.40/33.60 tff(1544,plain,
% 53.40/33.60 ((~v90(constB4, 2)) | (~v100(constB4))),
% 53.40/33.60 inference(unit_resolution,[status(thm)],[1543, 1223, 1540])).
% 53.40/33.60 tff(1545,plain,
% 53.40/33.60 (~v90(constB4, 2)),
% 53.40/33.60 inference(unit_resolution,[status(thm)],[1544, 1516])).
% 53.40/33.60 tff(1546,plain,
% 53.40/33.60 ((~v1(constB5)) <=> (~v1(constB5))),
% 53.40/33.60 inference(rewrite,[status(thm)],[])).
% 53.40/33.60 tff(1547,axiom,(~v1(constB5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_5_1_1')).
% 53.40/33.60 tff(1548,plain,
% 53.40/33.60 (~v1(constB5)),
% 53.40/33.60 inference(modus_ponens,[status(thm)],[1547, 1546])).
% 53.40/33.60 tff(1549,plain,
% 53.40/33.60 (nextState(constB4, constB5) <=> nextState(constB4, constB5)),
% 53.40/33.60 inference(rewrite,[status(thm)],[])).
% 53.40/33.60 tff(1550,axiom,(nextState(constB4, constB5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_4_1')).
% 53.40/33.60 tff(1551,plain,
% 53.40/33.60 (nextState(constB4, constB5)),
% 53.40/33.60 inference(modus_ponens,[status(thm)],[1550, 1549])).
% 53.40/33.60 tff(1552,plain,
% 53.40/33.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5)))),
% 53.40/33.60 inference(rewrite,[status(thm)],[])).
% 53.40/33.60 tff(1553,plain,
% 53.40/33.60 (((~nextState(constB4, constB5)) | (~v101(constB5)) | v1(constB5)) <=> (v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5)))),
% 53.40/33.60 inference(rewrite,[status(thm)],[])).
% 53.40/33.60 tff(1554,plain,
% 53.40/33.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB4, constB5)) | (~v101(constB5)) | v1(constB5))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5))))),
% 53.40/33.60 inference(monotonicity,[status(thm)],[1553])).
% 53.40/33.60 tff(1555,plain,
% 53.40/33.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB4, constB5)) | (~v101(constB5)) | v1(constB5))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5)))),
% 53.40/33.60 inference(transitivity,[status(thm)],[1554, 1552])).
% 53.40/33.60 tff(1556,plain,
% 53.40/33.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB4, constB5)) | (~v101(constB5)) | v1(constB5))),
% 53.40/33.60 inference(quant_inst,[status(thm)],[])).
% 53.40/33.60 tff(1557,plain,
% 53.40/33.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB5) | (~nextState(constB4, constB5)) | (~v101(constB5))),
% 53.40/33.60 inference(modus_ponens,[status(thm)],[1556, 1555])).
% 53.40/33.60 tff(1558,plain,
% 53.40/33.60 (~v101(constB5)),
% 53.40/33.60 inference(unit_resolution,[status(thm)],[1557, 873, 1551, 1548])).
% 53.40/33.60 tff(1559,plain,
% 53.40/33.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB4, constB5)) | v101(constB5) | (~v100(constB5)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB4, constB5)) | v101(constB5) | (~v100(constB5)))),
% 53.40/33.60 inference(rewrite,[status(thm)],[])).
% 53.40/33.60 tff(1560,plain,
% 53.40/33.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB4, constB5)) | v101(constB5) | (~v100(constB5)))),
% 53.40/33.60 inference(quant_inst,[status(thm)],[])).
% 53.40/33.60 tff(1561,plain,
% 53.40/33.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB4, constB5)) | v101(constB5) | (~v100(constB5))),
% 53.40/33.60 inference(modus_ponens,[status(thm)],[1560, 1559])).
% 53.40/33.60 tff(1562,plain,
% 53.40/33.60 (v101(constB5) | (~v100(constB5))),
% 53.40/33.60 inference(unit_resolution,[status(thm)],[1561, 890, 1551])).
% 53.40/33.60 tff(1563,plain,
% 53.40/33.60 (~v100(constB5)),
% 53.40/33.60 inference(unit_resolution,[status(thm)],[1562, 1558])).
% 53.40/33.60 tff(1564,plain,
% 53.40/33.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB4, 2) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB4, 2) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, 2)))),
% 53.40/33.60 inference(rewrite,[status(thm)],[])).
% 53.40/33.60 tff(1565,plain,
% 53.40/33.60 (((~nextState(constB4, constB5)) | v90(constB4, 2) | v100(constB5) | (~v90(constB5, 2))) <=> (v90(constB4, 2) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, 2)))),
% 53.40/33.60 inference(rewrite,[status(thm)],[])).
% 53.40/33.60 tff(1566,plain,
% 53.40/33.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB4, constB5)) | v90(constB4, 2) | v100(constB5) | (~v90(constB5, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB4, 2) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, 2))))),
% 53.40/33.60 inference(monotonicity,[status(thm)],[1565])).
% 53.40/33.60 tff(1567,plain,
% 53.40/33.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB4, constB5)) | v90(constB4, 2) | v100(constB5) | (~v90(constB5, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB4, 2) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, 2)))),
% 53.40/33.60 inference(transitivity,[status(thm)],[1566, 1564])).
% 53.40/33.60 tff(1568,plain,
% 53.40/33.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB4, constB5)) | v90(constB4, 2) | v100(constB5) | (~v90(constB5, 2)))),
% 53.40/33.60 inference(quant_inst,[status(thm)],[])).
% 53.40/33.60 tff(1569,plain,
% 53.40/33.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB4, 2) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, 2))),
% 53.40/33.60 inference(modus_ponens,[status(thm)],[1568, 1567])).
% 53.40/33.60 tff(1570,plain,
% 53.40/33.60 (v90(constB4, 2) | v100(constB5) | (~v90(constB5, 2))),
% 53.40/33.60 inference(unit_resolution,[status(thm)],[1569, 905, 1551])).
% 53.40/33.60 tff(1571,plain,
% 53.40/33.60 (v90(constB4, 2) | (~v90(constB5, 2))),
% 53.40/33.60 inference(unit_resolution,[status(thm)],[1570, 1563])).
% 53.40/33.60 tff(1572,plain,
% 53.40/33.60 (~v90(constB5, 2)),
% 53.40/33.60 inference(unit_resolution,[status(thm)],[1571, 1545])).
% 53.40/33.60 tff(1573,plain,
% 53.40/33.60 (^[VarCurr: state_type] : refl(((~v120(VarCurr)) | v130(VarCurr, 1)) <=> ((~v120(VarCurr)) | v130(VarCurr, 1)))),
% 53.40/33.60 inference(bind,[status(th)],[])).
% 53.40/33.60 tff(1574,plain,
% 53.40/33.60 (![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))),
% 53.40/33.60 inference(quant_intro,[status(thm)],[1573])).
% 53.40/33.60 tff(1575,plain,
% 53.40/33.60 (![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))),
% 53.40/33.60 inference(rewrite,[status(thm)],[])).
% 53.40/33.60 tff(1576,axiom,(![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_4_2')).
% 53.40/33.60 tff(1577,plain,
% 53.40/33.60 (![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))),
% 53.40/33.60 inference(modus_ponens,[status(thm)],[1576, 1575])).
% 53.40/33.60 tff(1578,plain,(
% 53.40/33.60 ![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))),
% 53.40/33.60 inference(skolemize,[status(sab)],[1577])).
% 53.40/33.60 tff(1579,plain,
% 53.40/33.60 (![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))),
% 53.40/33.60 inference(modus_ponens,[status(thm)],[1578, 1574])).
% 53.40/33.60 tff(1580,plain,
% 53.40/33.60 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB3)) | v130(constB3, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB3)) | v130(constB3, 1))),
% 53.40/33.60 inference(rewrite,[status(thm)],[])).
% 53.40/33.60 tff(1581,plain,
% 53.40/33.60 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB3)) | v130(constB3, 1))),
% 53.40/33.60 inference(quant_inst,[status(thm)],[])).
% 53.40/33.60 tff(1582,plain,
% 53.40/33.60 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB3)) | v130(constB3, 1)),
% 53.40/33.60 inference(modus_ponens,[status(thm)],[1581, 1580])).
% 53.40/33.60 tff(1583,plain,
% 53.40/33.60 (v130(constB3, 1)),
% 53.40/33.60 inference(unit_resolution,[status(thm)],[1582, 1579, 1418])).
% 53.40/33.60 tff(1584,plain,
% 53.40/33.60 (^[VarCurr: state_type] : refl((v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1)) <=> (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1)))),
% 53.40/33.60 inference(bind,[status(th)],[])).
% 53.40/33.60 tff(1585,plain,
% 53.40/33.60 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))),
% 53.40/33.60 inference(quant_intro,[status(thm)],[1584])).
% 53.40/33.60 tff(1586,plain,
% 53.40/33.60 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))),
% 53.40/33.60 inference(rewrite,[status(thm)],[])).
% 53.40/33.60 tff(1587,plain,
% 53.40/33.60 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v130(VarCurr, 1))) | v127(VarCurr, 1)) <=> (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1)))),
% 53.40/33.60 inference(bind,[status(th)],[])).
% 53.40/33.60 tff(1588,plain,
% 53.40/33.60 (![VarCurr: state_type] : ((v26(VarCurr) | (~v130(VarCurr, 1))) | v127(VarCurr, 1)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))),
% 53.40/33.60 inference(quant_intro,[status(thm)],[1587])).
% 53.40/33.60 tff(1589,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v130(VarCurr, 1))) | v127(VarCurr, 1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_3')).
% 53.40/33.60 tff(1590,plain,
% 53.40/33.60 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))),
% 53.40/33.60 inference(modus_ponens,[status(thm)],[1589, 1588])).
% 53.40/33.60 tff(1591,plain,
% 53.40/33.60 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))),
% 53.40/33.60 inference(modus_ponens,[status(thm)],[1590, 1586])).
% 53.40/33.60 tff(1592,plain,(
% 53.40/33.60 ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))),
% 53.40/33.60 inference(skolemize,[status(sab)],[1591])).
% 53.40/33.60 tff(1593,plain,
% 53.40/33.60 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))),
% 53.40/33.60 inference(modus_ponens,[status(thm)],[1592, 1585])).
% 53.40/33.60 tff(1594,plain,
% 53.40/33.60 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB3) | (~v130(constB3, 1)) | v127(constB3, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB3) | (~v130(constB3, 1)) | v127(constB3, 1))),
% 53.40/33.60 inference(rewrite,[status(thm)],[])).
% 53.40/33.60 tff(1595,plain,
% 53.40/33.60 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB3) | (~v130(constB3, 1)) | v127(constB3, 1))),
% 53.40/33.60 inference(quant_inst,[status(thm)],[])).
% 53.40/33.60 tff(1596,plain,
% 53.40/33.60 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB3) | (~v130(constB3, 1)) | v127(constB3, 1)),
% 53.40/33.60 inference(modus_ponens,[status(thm)],[1595, 1594])).
% 53.40/33.60 tff(1597,plain,
% 53.40/33.60 (v26(constB3) | v127(constB3, 1)),
% 53.40/33.60 inference(unit_resolution,[status(thm)],[1596, 1593, 1583])).
% 53.40/33.60 tff(1598,plain,
% 53.40/33.60 (v127(constB3, 1)),
% 53.40/33.60 inference(unit_resolution,[status(thm)],[1597, 853])).
% 53.40/33.60 tff(1599,plain,
% 53.40/33.60 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1)))),
% 53.40/33.60 inference(bind,[status(th)],[])).
% 53.40/33.60 tff(1600,plain,
% 53.40/33.60 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))),
% 53.40/33.60 inference(quant_intro,[status(thm)],[1599])).
% 53.40/33.60 tff(1601,plain,
% 53.40/33.60 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))),
% 53.40/33.60 inference(rewrite,[status(thm)],[])).
% 53.40/33.60 tff(1602,plain,
% 53.40/33.60 (^[VarNext: state_type, VarCurr: state_type] : rewrite((((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1))) | v129(VarNext, 1)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1)))),
% 53.40/33.60 inference(bind,[status(th)],[])).
% 53.40/33.60 tff(1603,plain,
% 53.40/33.60 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1))) | v129(VarNext, 1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))),
% 53.40/33.60 inference(quant_intro,[status(thm)],[1602])).
% 53.40/33.60 tff(1604,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1))) | v129(VarNext, 1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_3')).
% 53.40/33.60 tff(1605,plain,
% 53.40/33.60 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))),
% 53.40/33.60 inference(modus_ponens,[status(thm)],[1604, 1603])).
% 53.40/33.60 tff(1606,plain,
% 53.40/33.60 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))),
% 53.40/33.60 inference(modus_ponens,[status(thm)],[1605, 1601])).
% 53.40/33.60 tff(1607,plain,(
% 53.40/33.60 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))),
% 53.40/33.60 inference(skolemize,[status(sab)],[1606])).
% 53.40/33.60 tff(1608,plain,
% 53.40/33.60 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))),
% 53.40/33.60 inference(modus_ponens,[status(thm)],[1607, 1600])).
% 53.40/33.60 tff(1609,plain,
% 53.40/33.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB3, constB4)) | (~v127(constB3, 1)) | v129(constB4, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB3, constB4)) | (~v127(constB3, 1)) | v129(constB4, 1))),
% 53.40/33.60 inference(rewrite,[status(thm)],[])).
% 53.40/33.60 tff(1610,plain,
% 53.40/33.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB3, constB4)) | (~v127(constB3, 1)) | v129(constB4, 1))),
% 53.40/33.60 inference(quant_inst,[status(thm)],[])).
% 53.40/33.60 tff(1611,plain,
% 53.40/33.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB3, constB4)) | (~v127(constB3, 1)) | v129(constB4, 1)),
% 53.40/33.60 inference(modus_ponens,[status(thm)],[1610, 1609])).
% 53.40/33.60 tff(1612,plain,
% 53.40/33.60 ((~v127(constB3, 1)) | v129(constB4, 1)),
% 53.40/33.60 inference(unit_resolution,[status(thm)],[1611, 1608, 1485])).
% 53.40/33.60 tff(1613,plain,
% 53.40/33.60 (v129(constB4, 1)),
% 53.40/33.60 inference(unit_resolution,[status(thm)],[1612, 1598])).
% 53.40/33.60 tff(1614,plain,
% 53.40/33.61 (^[VarNext: state_type] : refl((v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1))) <=> (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1))))),
% 53.40/33.61 inference(bind,[status(th)],[])).
% 53.40/33.61 tff(1615,plain,
% 53.40/33.61 (![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1))) <=> ![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))),
% 53.40/33.61 inference(quant_intro,[status(thm)],[1614])).
% 53.40/33.61 tff(1616,plain,
% 53.40/33.61 (![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1))) <=> ![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))),
% 53.40/33.61 inference(rewrite,[status(thm)],[])).
% 53.40/33.61 tff(1617,plain,
% 53.40/33.61 (^[VarNext: state_type] : rewrite((((~v100(VarNext)) | (~v129(VarNext, 1))) | v90(VarNext, 1)) <=> (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1))))),
% 53.40/33.61 inference(bind,[status(th)],[])).
% 53.40/33.61 tff(1618,plain,
% 53.40/33.61 (![VarNext: state_type] : (((~v100(VarNext)) | (~v129(VarNext, 1))) | v90(VarNext, 1)) <=> ![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))),
% 53.40/33.61 inference(quant_intro,[status(thm)],[1617])).
% 53.40/33.61 tff(1619,axiom,(![VarNext: state_type] : (((~v100(VarNext)) | (~v129(VarNext, 1))) | v90(VarNext, 1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_3')).
% 53.40/33.61 tff(1620,plain,
% 53.40/33.61 (![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))),
% 53.40/33.61 inference(modus_ponens,[status(thm)],[1619, 1618])).
% 53.40/33.61 tff(1621,plain,
% 53.40/33.61 (![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))),
% 53.40/33.61 inference(modus_ponens,[status(thm)],[1620, 1616])).
% 53.40/33.61 tff(1622,plain,(
% 53.40/33.61 ![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))),
% 53.40/33.61 inference(skolemize,[status(sab)],[1621])).
% 53.40/33.61 tff(1623,plain,
% 53.40/33.61 (![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))),
% 53.40/33.61 inference(modus_ponens,[status(thm)],[1622, 1615])).
% 53.40/33.61 tff(1624,plain,
% 53.40/33.61 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB4, 1) | (~v129(constB4, 1)) | (~v100(constB4)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB4, 1) | (~v129(constB4, 1)) | (~v100(constB4)))),
% 53.40/33.61 inference(rewrite,[status(thm)],[])).
% 53.40/33.61 tff(1625,plain,
% 53.40/33.61 ((v90(constB4, 1) | (~v100(constB4)) | (~v129(constB4, 1))) <=> (v90(constB4, 1) | (~v129(constB4, 1)) | (~v100(constB4)))),
% 53.40/33.61 inference(rewrite,[status(thm)],[])).
% 53.40/33.61 tff(1626,plain,
% 53.40/33.61 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB4, 1) | (~v100(constB4)) | (~v129(constB4, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB4, 1) | (~v129(constB4, 1)) | (~v100(constB4))))),
% 53.40/33.61 inference(monotonicity,[status(thm)],[1625])).
% 53.40/33.61 tff(1627,plain,
% 53.40/33.61 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB4, 1) | (~v100(constB4)) | (~v129(constB4, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB4, 1) | (~v129(constB4, 1)) | (~v100(constB4)))),
% 53.40/33.61 inference(transitivity,[status(thm)],[1626, 1624])).
% 53.40/33.61 tff(1628,plain,
% 53.40/33.61 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB4, 1) | (~v100(constB4)) | (~v129(constB4, 1)))),
% 53.40/33.61 inference(quant_inst,[status(thm)],[])).
% 53.40/33.61 tff(1629,plain,
% 53.40/33.61 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB4, 1) | (~v129(constB4, 1)) | (~v100(constB4))),
% 53.40/33.61 inference(modus_ponens,[status(thm)],[1628, 1627])).
% 53.40/33.61 tff(1630,plain,
% 53.40/33.61 (v90(constB4, 1) | (~v100(constB4))),
% 53.40/33.61 inference(unit_resolution,[status(thm)],[1629, 1623, 1613])).
% 53.40/33.61 tff(1631,plain,
% 53.40/33.61 (v90(constB4, 1)),
% 53.40/33.61 inference(unit_resolution,[status(thm)],[1630, 1516])).
% 53.40/33.61 tff(1632,plain,
% 53.40/33.61 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1)))),
% 53.40/33.61 inference(bind,[status(th)],[])).
% 53.40/33.61 tff(1633,plain,
% 53.40/33.61 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))),
% 53.40/33.61 inference(quant_intro,[status(thm)],[1632])).
% 53.40/33.61 tff(1634,plain,
% 53.40/33.61 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))),
% 53.40/33.61 inference(rewrite,[status(thm)],[])).
% 53.40/33.61 tff(1635,plain,
% 53.40/33.61 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 1))) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 1))))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 1))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 1))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext)))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 1))) | v90(VarNext, 1)) <=> (((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext)) | v90(VarNext, 1)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext)) | v90(VarNext, 1)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 1))) | v90(VarNext, 1)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))))),
% 53.40/33.61 inference(bind,[status(th)],[])).
% 53.40/33.61 tff(1636,plain,
% 53.40/33.61 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 1))) | v90(VarNext, 1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))),
% 53.40/33.61 inference(quant_intro,[status(thm)],[1635])).
% 53.40/33.61 tff(1637,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 1))) | v90(VarNext, 1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_3')).
% 53.40/33.61 tff(1638,plain,
% 53.40/33.61 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))),
% 53.40/33.61 inference(modus_ponens,[status(thm)],[1637, 1636])).
% 53.40/33.61 tff(1639,plain,
% 53.40/33.61 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))),
% 53.40/33.61 inference(modus_ponens,[status(thm)],[1638, 1634])).
% 53.40/33.61 tff(1640,plain,(
% 53.40/33.61 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))),
% 53.40/33.61 inference(skolemize,[status(sab)],[1639])).
% 53.40/33.61 tff(1641,plain,
% 53.40/33.61 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))),
% 53.40/33.61 inference(modus_ponens,[status(thm)],[1640, 1633])).
% 53.40/33.61 tff(1642,plain,
% 53.40/33.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB4, 1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB4, 1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, 1))),
% 53.40/33.61 inference(rewrite,[status(thm)],[])).
% 53.40/33.61 tff(1643,plain,
% 53.40/33.61 (((~nextState(constB4, constB5)) | (~v90(constB4, 1)) | v100(constB5) | v90(constB5, 1)) <=> ((~v90(constB4, 1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, 1))),
% 53.40/33.61 inference(rewrite,[status(thm)],[])).
% 53.40/33.61 tff(1644,plain,
% 53.40/33.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB4, constB5)) | (~v90(constB4, 1)) | v100(constB5) | v90(constB5, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB4, 1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, 1)))),
% 53.40/33.61 inference(monotonicity,[status(thm)],[1643])).
% 53.40/33.61 tff(1645,plain,
% 53.40/33.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB4, constB5)) | (~v90(constB4, 1)) | v100(constB5) | v90(constB5, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB4, 1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, 1))),
% 53.40/33.61 inference(transitivity,[status(thm)],[1644, 1642])).
% 53.40/33.61 tff(1646,plain,
% 53.40/33.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB4, constB5)) | (~v90(constB4, 1)) | v100(constB5) | v90(constB5, 1))),
% 53.40/33.61 inference(quant_inst,[status(thm)],[])).
% 53.40/33.61 tff(1647,plain,
% 53.40/33.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB4, 1)) | (~nextState(constB4, constB5)) | v100(constB5) | v90(constB5, 1)),
% 53.40/33.61 inference(modus_ponens,[status(thm)],[1646, 1645])).
% 53.40/33.61 tff(1648,plain,
% 53.40/33.61 ((~v90(constB4, 1)) | v100(constB5) | v90(constB5, 1)),
% 53.40/33.61 inference(unit_resolution,[status(thm)],[1647, 1641, 1551])).
% 53.40/33.61 tff(1649,plain,
% 53.40/33.61 ((~v90(constB4, 1)) | v90(constB5, 1)),
% 53.40/33.61 inference(unit_resolution,[status(thm)],[1648, 1563])).
% 53.40/33.61 tff(1650,plain,
% 53.40/33.61 (v90(constB5, 1)),
% 53.40/33.61 inference(unit_resolution,[status(thm)],[1649, 1631])).
% 53.40/33.61 tff(1651,plain,
% 53.40/33.61 (^[VarCurr: state_type] : refl(((~v120(VarCurr)) | (~v130(VarCurr, 0))) <=> ((~v120(VarCurr)) | (~v130(VarCurr, 0))))),
% 53.40/33.61 inference(bind,[status(th)],[])).
% 53.40/33.61 tff(1652,plain,
% 53.40/33.61 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))),
% 53.40/33.61 inference(quant_intro,[status(thm)],[1651])).
% 53.40/33.61 tff(1653,plain,
% 53.40/33.61 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))),
% 53.40/33.61 inference(rewrite,[status(thm)],[])).
% 53.40/33.61 tff(1654,axiom,(![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_4_1')).
% 53.40/33.61 tff(1655,plain,
% 53.40/33.61 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))),
% 53.40/33.61 inference(modus_ponens,[status(thm)],[1654, 1653])).
% 53.40/33.61 tff(1656,plain,(
% 53.40/33.61 ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))),
% 53.40/33.61 inference(skolemize,[status(sab)],[1655])).
% 53.40/33.61 tff(1657,plain,
% 53.40/33.61 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))),
% 53.40/33.61 inference(modus_ponens,[status(thm)],[1656, 1652])).
% 53.40/33.61 tff(1658,plain,
% 53.40/33.61 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB3)) | (~v130(constB3, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB3)) | (~v130(constB3, 0)))),
% 53.40/33.61 inference(rewrite,[status(thm)],[])).
% 53.40/33.61 tff(1659,plain,
% 53.40/33.61 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB3)) | (~v130(constB3, 0)))),
% 53.40/33.61 inference(quant_inst,[status(thm)],[])).
% 53.40/33.61 tff(1660,plain,
% 53.40/33.61 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB3)) | (~v130(constB3, 0))),
% 53.40/33.61 inference(modus_ponens,[status(thm)],[1659, 1658])).
% 53.40/33.61 tff(1661,plain,
% 53.40/33.61 (~v130(constB3, 0)),
% 53.40/33.61 inference(unit_resolution,[status(thm)],[1660, 1657, 1418])).
% 53.40/33.61 tff(1662,plain,
% 53.40/33.61 (^[VarCurr: state_type] : refl((v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0))) <=> (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0))))),
% 53.40/33.61 inference(bind,[status(th)],[])).
% 53.40/33.61 tff(1663,plain,
% 53.40/33.61 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))),
% 53.40/33.61 inference(quant_intro,[status(thm)],[1662])).
% 53.40/33.61 tff(1664,plain,
% 53.40/33.61 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))),
% 53.40/33.61 inference(rewrite,[status(thm)],[])).
% 53.40/33.61 tff(1665,plain,
% 53.40/33.61 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v127(VarCurr, 0))) | v130(VarCurr, 0)) <=> (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0))))),
% 53.40/33.61 inference(bind,[status(th)],[])).
% 53.40/33.61 tff(1666,plain,
% 53.40/33.61 (![VarCurr: state_type] : ((v26(VarCurr) | (~v127(VarCurr, 0))) | v130(VarCurr, 0)) <=> ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))),
% 53.40/33.61 inference(quant_intro,[status(thm)],[1665])).
% 53.40/33.61 tff(1667,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v127(VarCurr, 0))) | v130(VarCurr, 0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_2')).
% 53.40/33.61 tff(1668,plain,
% 53.40/33.61 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))),
% 53.40/33.61 inference(modus_ponens,[status(thm)],[1667, 1666])).
% 53.40/33.61 tff(1669,plain,
% 53.40/33.61 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))),
% 53.40/33.61 inference(modus_ponens,[status(thm)],[1668, 1664])).
% 53.40/33.61 tff(1670,plain,(
% 53.40/33.61 ![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))),
% 53.40/33.61 inference(skolemize,[status(sab)],[1669])).
% 53.40/33.61 tff(1671,plain,
% 53.40/33.61 (![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))),
% 53.40/33.61 inference(modus_ponens,[status(thm)],[1670, 1663])).
% 53.40/33.61 tff(1672,plain,
% 53.40/33.61 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB3, 0)) | v26(constB3) | v130(constB3, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB3, 0)) | v26(constB3) | v130(constB3, 0))),
% 53.40/33.61 inference(rewrite,[status(thm)],[])).
% 53.40/33.61 tff(1673,plain,
% 53.40/33.61 ((v26(constB3) | v130(constB3, 0) | (~v127(constB3, 0))) <=> ((~v127(constB3, 0)) | v26(constB3) | v130(constB3, 0))),
% 53.40/33.61 inference(rewrite,[status(thm)],[])).
% 53.40/33.61 tff(1674,plain,
% 53.40/33.61 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB3) | v130(constB3, 0) | (~v127(constB3, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB3, 0)) | v26(constB3) | v130(constB3, 0)))),
% 53.40/33.61 inference(monotonicity,[status(thm)],[1673])).
% 53.40/33.61 tff(1675,plain,
% 53.40/33.61 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB3) | v130(constB3, 0) | (~v127(constB3, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB3, 0)) | v26(constB3) | v130(constB3, 0))),
% 53.40/33.61 inference(transitivity,[status(thm)],[1674, 1672])).
% 53.40/33.61 tff(1676,plain,
% 53.40/33.61 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB3) | v130(constB3, 0) | (~v127(constB3, 0)))),
% 53.40/33.61 inference(quant_inst,[status(thm)],[])).
% 53.40/33.61 tff(1677,plain,
% 53.40/33.61 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB3, 0)) | v26(constB3) | v130(constB3, 0)),
% 53.40/33.61 inference(modus_ponens,[status(thm)],[1676, 1675])).
% 53.40/33.61 tff(1678,plain,
% 53.40/33.61 ((~v127(constB3, 0)) | v26(constB3)),
% 53.40/33.61 inference(unit_resolution,[status(thm)],[1677, 1671, 1661])).
% 53.40/33.61 tff(1679,plain,
% 53.40/33.61 (~v127(constB3, 0)),
% 53.40/33.61 inference(unit_resolution,[status(thm)],[1678, 853])).
% 53.40/33.61 tff(1680,plain,
% 53.40/33.61 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0))) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0))))),
% 53.40/33.61 inference(bind,[status(th)],[])).
% 53.40/33.61 tff(1681,plain,
% 53.40/33.61 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))),
% 53.40/33.61 inference(quant_intro,[status(thm)],[1680])).
% 53.40/33.61 tff(1682,plain,
% 53.40/33.61 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))),
% 53.40/33.61 inference(rewrite,[status(thm)],[])).
% 53.40/33.61 tff(1683,plain,
% 53.40/33.61 (^[VarNext: state_type, VarCurr: state_type] : rewrite((((~nextState(VarCurr, VarNext)) | (~v129(VarNext, 0))) | v127(VarCurr, 0)) <=> ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0))))),
% 53.40/33.61 inference(bind,[status(th)],[])).
% 53.40/33.61 tff(1684,plain,
% 53.40/33.61 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v129(VarNext, 0))) | v127(VarCurr, 0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))),
% 53.40/33.61 inference(quant_intro,[status(thm)],[1683])).
% 53.40/33.61 tff(1685,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v129(VarNext, 0))) | v127(VarCurr, 0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_2')).
% 53.40/33.61 tff(1686,plain,
% 53.40/33.61 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))),
% 53.40/33.61 inference(modus_ponens,[status(thm)],[1685, 1684])).
% 53.40/33.61 tff(1687,plain,
% 53.40/33.61 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))),
% 53.40/33.61 inference(modus_ponens,[status(thm)],[1686, 1682])).
% 53.40/33.61 tff(1688,plain,(
% 53.40/33.61 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))),
% 53.40/33.61 inference(skolemize,[status(sab)],[1687])).
% 53.40/33.61 tff(1689,plain,
% 53.40/33.61 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))),
% 53.40/33.61 inference(modus_ponens,[status(thm)],[1688, 1681])).
% 53.40/33.61 tff(1690,plain,
% 53.40/33.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB3, constB4)) | v127(constB3, 0) | (~v129(constB4, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB3, constB4)) | v127(constB3, 0) | (~v129(constB4, 0)))),
% 53.40/33.61 inference(rewrite,[status(thm)],[])).
% 53.40/33.61 tff(1691,plain,
% 53.40/33.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB3, constB4)) | v127(constB3, 0) | (~v129(constB4, 0)))),
% 53.40/33.61 inference(quant_inst,[status(thm)],[])).
% 53.40/33.61 tff(1692,plain,
% 53.40/33.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB3, constB4)) | v127(constB3, 0) | (~v129(constB4, 0))),
% 53.40/33.61 inference(modus_ponens,[status(thm)],[1691, 1690])).
% 53.40/33.61 tff(1693,plain,
% 53.40/33.61 (v127(constB3, 0) | (~v129(constB4, 0))),
% 53.40/33.61 inference(unit_resolution,[status(thm)],[1692, 1689, 1485])).
% 53.40/33.61 tff(1694,plain,
% 53.40/33.61 (~v129(constB4, 0)),
% 53.40/33.61 inference(unit_resolution,[status(thm)],[1693, 1679])).
% 53.40/33.61 tff(1695,plain,
% 53.40/33.61 (^[VarNext: state_type] : refl(((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0)) <=> ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0)))),
% 53.40/33.61 inference(bind,[status(th)],[])).
% 53.40/33.61 tff(1696,plain,
% 53.40/33.61 (![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0)) <=> ![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))),
% 53.40/33.61 inference(quant_intro,[status(thm)],[1695])).
% 53.40/33.61 tff(1697,plain,
% 53.40/33.61 (![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0)) <=> ![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))),
% 53.40/33.61 inference(rewrite,[status(thm)],[])).
% 53.40/33.61 tff(1698,plain,
% 53.40/33.61 (^[VarNext: state_type] : rewrite((((~v100(VarNext)) | (~v90(VarNext, 0))) | v129(VarNext, 0)) <=> ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0)))),
% 53.40/33.61 inference(bind,[status(th)],[])).
% 53.40/33.61 tff(1699,plain,
% 53.40/33.61 (![VarNext: state_type] : (((~v100(VarNext)) | (~v90(VarNext, 0))) | v129(VarNext, 0)) <=> ![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))),
% 53.40/33.61 inference(quant_intro,[status(thm)],[1698])).
% 53.40/33.61 tff(1700,axiom,(![VarNext: state_type] : (((~v100(VarNext)) | (~v90(VarNext, 0))) | v129(VarNext, 0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_2')).
% 53.40/33.61 tff(1701,plain,
% 53.40/33.61 (![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))),
% 53.40/33.61 inference(modus_ponens,[status(thm)],[1700, 1699])).
% 53.40/33.61 tff(1702,plain,
% 53.40/33.61 (![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))),
% 53.40/33.61 inference(modus_ponens,[status(thm)],[1701, 1697])).
% 53.40/33.61 tff(1703,plain,(
% 53.40/33.61 ![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))),
% 53.40/33.61 inference(skolemize,[status(sab)],[1702])).
% 53.40/33.61 tff(1704,plain,
% 53.40/33.61 (![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))),
% 53.40/33.61 inference(modus_ponens,[status(thm)],[1703, 1696])).
% 53.40/33.61 tff(1705,plain,
% 53.40/33.61 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB4, 0)) | v129(constB4, 0) | (~v100(constB4)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB4, 0)) | v129(constB4, 0) | (~v100(constB4)))),
% 53.40/33.61 inference(rewrite,[status(thm)],[])).
% 53.40/33.61 tff(1706,plain,
% 53.40/33.61 (((~v90(constB4, 0)) | (~v100(constB4)) | v129(constB4, 0)) <=> ((~v90(constB4, 0)) | v129(constB4, 0) | (~v100(constB4)))),
% 53.40/33.61 inference(rewrite,[status(thm)],[])).
% 53.40/33.61 tff(1707,plain,
% 53.40/33.61 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB4, 0)) | (~v100(constB4)) | v129(constB4, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB4, 0)) | v129(constB4, 0) | (~v100(constB4))))),
% 53.40/33.61 inference(monotonicity,[status(thm)],[1706])).
% 53.40/33.61 tff(1708,plain,
% 53.40/33.61 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB4, 0)) | (~v100(constB4)) | v129(constB4, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB4, 0)) | v129(constB4, 0) | (~v100(constB4)))),
% 53.40/33.61 inference(transitivity,[status(thm)],[1707, 1705])).
% 53.40/33.61 tff(1709,plain,
% 53.40/33.61 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB4, 0)) | (~v100(constB4)) | v129(constB4, 0))),
% 53.40/33.61 inference(quant_inst,[status(thm)],[])).
% 53.40/33.61 tff(1710,plain,
% 53.40/33.61 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB4, 0)) | v129(constB4, 0) | (~v100(constB4))),
% 53.40/33.61 inference(modus_ponens,[status(thm)],[1709, 1708])).
% 53.40/33.61 tff(1711,plain,
% 53.40/33.61 ((~v90(constB4, 0)) | (~v100(constB4))),
% 53.40/33.61 inference(unit_resolution,[status(thm)],[1710, 1704, 1694])).
% 53.40/33.61 tff(1712,plain,
% 53.40/33.61 (~v90(constB4, 0)),
% 53.40/33.61 inference(unit_resolution,[status(thm)],[1711, 1516])).
% 53.40/33.61 tff(1713,plain,
% 53.40/33.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB4, 0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB4, 0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, 0)))),
% 53.40/33.61 inference(rewrite,[status(thm)],[])).
% 53.40/33.61 tff(1714,plain,
% 53.40/33.61 (((~nextState(constB4, constB5)) | v90(constB4, 0) | v100(constB5) | (~v90(constB5, 0))) <=> (v90(constB4, 0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, 0)))),
% 53.40/33.61 inference(rewrite,[status(thm)],[])).
% 53.40/33.61 tff(1715,plain,
% 53.40/33.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB4, constB5)) | v90(constB4, 0) | v100(constB5) | (~v90(constB5, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB4, 0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, 0))))),
% 53.40/33.61 inference(monotonicity,[status(thm)],[1714])).
% 53.40/33.61 tff(1716,plain,
% 53.40/33.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB4, constB5)) | v90(constB4, 0) | v100(constB5) | (~v90(constB5, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB4, 0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, 0)))),
% 53.40/33.61 inference(transitivity,[status(thm)],[1715, 1713])).
% 53.40/33.61 tff(1717,plain,
% 53.40/33.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB4, constB5)) | v90(constB4, 0) | v100(constB5) | (~v90(constB5, 0)))),
% 53.40/33.61 inference(quant_inst,[status(thm)],[])).
% 53.40/33.61 tff(1718,plain,
% 53.40/33.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB4, 0) | (~nextState(constB4, constB5)) | v100(constB5) | (~v90(constB5, 0))),
% 53.40/33.61 inference(modus_ponens,[status(thm)],[1717, 1716])).
% 53.40/33.61 tff(1719,plain,
% 53.40/33.61 (v90(constB4, 0) | v100(constB5) | (~v90(constB5, 0))),
% 53.40/33.61 inference(unit_resolution,[status(thm)],[1718, 947, 1551])).
% 53.40/33.61 tff(1720,plain,
% 53.40/33.61 (v90(constB4, 0) | (~v90(constB5, 0))),
% 53.40/33.61 inference(unit_resolution,[status(thm)],[1719, 1563])).
% 53.40/33.61 tff(1721,plain,
% 53.40/33.61 (~v90(constB5, 0)),
% 53.40/33.61 inference(unit_resolution,[status(thm)],[1720, 1712])).
% 53.40/33.61 tff(1722,plain,
% 53.40/33.61 (^[VarCurr: state_type] : refl((v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr)) <=> (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr)))),
% 53.40/33.61 inference(bind,[status(th)],[])).
% 53.40/33.61 tff(1723,plain,
% 53.40/33.61 (![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))),
% 53.40/33.61 inference(quant_intro,[status(thm)],[1722])).
% 53.40/33.61 tff(1724,plain,
% 53.40/33.61 (![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))),
% 53.40/33.61 inference(rewrite,[status(thm)],[])).
% 53.40/33.61 tff(1725,plain,
% 53.40/33.61 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v90(VarCurr, 0) | v90(VarCurr, 2)) | (~v90(VarCurr, 1))) <=> (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2))), ((((v90(VarCurr, 0) | v90(VarCurr, 2)) | (~v90(VarCurr, 1))) | v121(VarCurr)) <=> ((v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2)) | v121(VarCurr)))), rewrite(((v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2)) | v121(VarCurr)) <=> (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))), ((((v90(VarCurr, 0) | v90(VarCurr, 2)) | (~v90(VarCurr, 1))) | v121(VarCurr)) <=> (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))))),
% 53.40/33.61 inference(bind,[status(th)],[])).
% 53.40/33.61 tff(1726,plain,
% 53.40/33.61 (![VarCurr: state_type] : (((v90(VarCurr, 0) | v90(VarCurr, 2)) | (~v90(VarCurr, 1))) | v121(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))),
% 53.40/33.61 inference(quant_intro,[status(thm)],[1725])).
% 53.40/33.61 tff(1727,axiom,(![VarCurr: state_type] : (((v90(VarCurr, 0) | v90(VarCurr, 2)) | (~v90(VarCurr, 1))) | v121(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_1')).
% 53.40/33.61 tff(1728,plain,
% 53.40/33.61 (![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))),
% 53.40/33.61 inference(modus_ponens,[status(thm)],[1727, 1726])).
% 53.40/33.61 tff(1729,plain,
% 53.40/33.61 (![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))),
% 53.40/33.61 inference(modus_ponens,[status(thm)],[1728, 1724])).
% 53.40/33.61 tff(1730,plain,(
% 53.40/33.61 ![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))),
% 53.40/33.61 inference(skolemize,[status(sab)],[1729])).
% 53.40/33.61 tff(1731,plain,
% 53.40/33.61 (![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))),
% 53.40/33.61 inference(modus_ponens,[status(thm)],[1730, 1723])).
% 53.40/33.61 tff(1732,plain,
% 53.40/33.61 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB5, 0) | (~v90(constB5, 1)) | v90(constB5, 2) | v121(constB5))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB5, 0) | (~v90(constB5, 1)) | v90(constB5, 2) | v121(constB5))),
% 53.40/33.61 inference(rewrite,[status(thm)],[])).
% 53.40/33.61 tff(1733,plain,
% 53.40/33.61 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB5, 0) | (~v90(constB5, 1)) | v90(constB5, 2) | v121(constB5))),
% 53.40/33.61 inference(quant_inst,[status(thm)],[])).
% 53.40/33.61 tff(1734,plain,
% 53.40/33.61 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB5, 0) | (~v90(constB5, 1)) | v90(constB5, 2) | v121(constB5)),
% 53.40/33.61 inference(modus_ponens,[status(thm)],[1733, 1732])).
% 53.40/33.61 tff(1735,plain,
% 53.40/33.61 (v121(constB5)),
% 53.40/33.61 inference(unit_resolution,[status(thm)],[1734, 1731, 1721, 1650, 1572])).
% 53.40/33.61 tff(1736,plain,
% 53.40/33.61 (^[VarCurr: state_type] : refl(((~v121(VarCurr)) | v117(VarCurr)) <=> ((~v121(VarCurr)) | v117(VarCurr)))),
% 53.40/33.61 inference(bind,[status(th)],[])).
% 53.40/33.61 tff(1737,plain,
% 53.40/33.61 (![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr)) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))),
% 53.40/33.61 inference(quant_intro,[status(thm)],[1736])).
% 53.40/33.61 tff(1738,plain,
% 53.40/33.61 (![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr)) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))),
% 53.40/33.61 inference(rewrite,[status(thm)],[])).
% 53.40/33.61 tff(1739,axiom,(![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_20_1_1')).
% 53.40/33.61 tff(1740,plain,
% 53.40/33.61 (![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))),
% 53.40/33.61 inference(modus_ponens,[status(thm)],[1739, 1738])).
% 53.40/33.61 tff(1741,plain,(
% 53.40/33.61 ![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))),
% 53.40/33.61 inference(skolemize,[status(sab)],[1740])).
% 53.40/33.61 tff(1742,plain,
% 53.40/33.61 (![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))),
% 53.40/33.61 inference(modus_ponens,[status(thm)],[1741, 1737])).
% 53.40/33.61 tff(1743,plain,
% 53.40/33.61 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB5)) | v117(constB5))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB5)) | v117(constB5))),
% 53.40/33.61 inference(rewrite,[status(thm)],[])).
% 53.40/33.61 tff(1744,plain,
% 53.40/33.61 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB5)) | v117(constB5))),
% 53.40/33.61 inference(quant_inst,[status(thm)],[])).
% 53.40/33.61 tff(1745,plain,
% 53.40/33.61 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB5)) | v117(constB5)),
% 53.40/33.61 inference(modus_ponens,[status(thm)],[1744, 1743])).
% 53.40/33.61 tff(1746,plain,
% 53.40/33.61 (v117(constB5)),
% 53.40/33.61 inference(unit_resolution,[status(thm)],[1745, 1742, 1735])).
% 53.40/33.61 tff(1747,plain,
% 53.40/33.61 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB5)) | v116(constB5))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB5)) | v116(constB5))),
% 53.40/33.61 inference(rewrite,[status(thm)],[])).
% 53.40/33.61 tff(1748,plain,
% 53.40/33.61 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB5)) | v116(constB5))),
% 53.40/33.61 inference(quant_inst,[status(thm)],[])).
% 53.40/33.61 tff(1749,plain,
% 53.40/33.61 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB5)) | v116(constB5)),
% 53.40/33.61 inference(modus_ponens,[status(thm)],[1748, 1747])).
% 53.40/33.61 tff(1750,plain,
% 53.40/33.61 (v116(constB5)),
% 53.40/33.61 inference(unit_resolution,[status(thm)],[1749, 1007, 1746])).
% 53.40/33.61 tff(1751,plain,
% 53.40/33.61 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB5) | (~v116(constB5)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB5) | (~v116(constB5)))),
% 53.40/33.61 inference(rewrite,[status(thm)],[])).
% 53.40/33.61 tff(1752,plain,
% 53.40/33.61 (((~v116(constB5)) | v115(constB5)) <=> (v115(constB5) | (~v116(constB5)))),
% 53.40/33.61 inference(rewrite,[status(thm)],[])).
% 53.40/33.61 tff(1753,plain,
% 53.40/33.61 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB5)) | v115(constB5))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB5) | (~v116(constB5))))),
% 53.40/33.61 inference(monotonicity,[status(thm)],[1752])).
% 53.40/33.61 tff(1754,plain,
% 53.40/33.61 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB5)) | v115(constB5))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB5) | (~v116(constB5)))),
% 53.40/33.61 inference(transitivity,[status(thm)],[1753, 1751])).
% 53.40/33.61 tff(1755,plain,
% 53.40/33.61 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB5)) | v115(constB5))),
% 53.40/33.61 inference(quant_inst,[status(thm)],[])).
% 53.40/33.61 tff(1756,plain,
% 53.40/33.61 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB5) | (~v116(constB5))),
% 53.40/33.61 inference(modus_ponens,[status(thm)],[1755, 1754])).
% 53.40/33.61 tff(1757,plain,
% 53.40/33.61 (v115(constB5)),
% 53.40/33.61 inference(unit_resolution,[status(thm)],[1756, 1021, 1750])).
% 53.40/33.61 tff(1758,plain,
% 53.40/33.61 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB5)) | v114(constB5))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB5)) | v114(constB5))),
% 53.40/33.61 inference(rewrite,[status(thm)],[])).
% 53.40/33.61 tff(1759,plain,
% 53.40/33.61 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB5)) | v114(constB5))),
% 53.40/33.61 inference(quant_inst,[status(thm)],[])).
% 53.40/33.61 tff(1760,plain,
% 53.40/33.61 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB5)) | v114(constB5)),
% 53.40/33.61 inference(modus_ponens,[status(thm)],[1759, 1758])).
% 53.40/33.61 tff(1761,plain,
% 53.40/33.61 (v114(constB5)),
% 53.40/33.61 inference(unit_resolution,[status(thm)],[1760, 1035, 1757])).
% 53.40/33.61 tff(1762,plain,
% 53.40/33.61 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB5) | (~v114(constB5)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB5) | (~v114(constB5)))),
% 53.40/33.61 inference(rewrite,[status(thm)],[])).
% 53.40/33.61 tff(1763,plain,
% 53.40/33.61 (((~v114(constB5)) | v113(constB5)) <=> (v113(constB5) | (~v114(constB5)))),
% 53.40/33.61 inference(rewrite,[status(thm)],[])).
% 53.40/33.61 tff(1764,plain,
% 53.40/33.61 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB5)) | v113(constB5))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB5) | (~v114(constB5))))),
% 53.40/33.61 inference(monotonicity,[status(thm)],[1763])).
% 53.40/33.61 tff(1765,plain,
% 53.40/33.61 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB5)) | v113(constB5))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB5) | (~v114(constB5)))),
% 53.40/33.61 inference(transitivity,[status(thm)],[1764, 1762])).
% 53.40/33.61 tff(1766,plain,
% 53.40/33.61 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB5)) | v113(constB5))),
% 53.40/33.61 inference(quant_inst,[status(thm)],[])).
% 53.40/33.61 tff(1767,plain,
% 53.40/33.61 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB5) | (~v114(constB5))),
% 53.40/33.61 inference(modus_ponens,[status(thm)],[1766, 1765])).
% 53.40/33.61 tff(1768,plain,
% 53.40/33.61 (v113(constB5)),
% 53.40/33.61 inference(unit_resolution,[status(thm)],[1767, 1049, 1761])).
% 53.40/33.61 tff(1769,plain,
% 53.40/33.61 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB5) | (~v113(constB5)) | v112(constB5))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB5) | (~v113(constB5)) | v112(constB5))),
% 53.40/33.61 inference(rewrite,[status(thm)],[])).
% 53.40/33.61 tff(1770,plain,
% 53.40/33.61 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB5) | (~v113(constB5)) | v112(constB5))),
% 53.40/33.61 inference(quant_inst,[status(thm)],[])).
% 53.40/33.61 tff(1771,plain,
% 53.40/33.61 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB5) | (~v113(constB5)) | v112(constB5)),
% 53.40/33.61 inference(modus_ponens,[status(thm)],[1770, 1769])).
% 53.40/33.61 tff(1772,plain,
% 53.40/33.61 (v26(constB5) | v112(constB5)),
% 53.40/33.61 inference(unit_resolution,[status(thm)],[1771, 1063, 1768])).
% 53.40/33.61 tff(1773,plain,
% 53.40/33.61 (v112(constB5)),
% 53.40/33.61 inference(unit_resolution,[status(thm)],[1772, 849])).
% 53.40/33.61 tff(1774,plain,
% 53.40/33.61 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB5) | (~v112(constB5)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB5) | (~v112(constB5)))),
% 53.40/33.61 inference(rewrite,[status(thm)],[])).
% 53.40/33.61 tff(1775,plain,
% 53.40/33.61 (((~v112(constB5)) | v108(constB5)) <=> (v108(constB5) | (~v112(constB5)))),
% 53.40/33.61 inference(rewrite,[status(thm)],[])).
% 53.40/33.61 tff(1776,plain,
% 53.40/33.61 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB5)) | v108(constB5))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB5) | (~v112(constB5))))),
% 53.40/33.61 inference(monotonicity,[status(thm)],[1775])).
% 53.40/33.61 tff(1777,plain,
% 53.40/33.61 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB5)) | v108(constB5))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB5) | (~v112(constB5)))),
% 53.40/33.61 inference(transitivity,[status(thm)],[1776, 1774])).
% 53.40/33.61 tff(1778,plain,
% 53.40/33.61 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB5)) | v108(constB5))),
% 53.40/33.61 inference(quant_inst,[status(thm)],[])).
% 53.40/33.61 tff(1779,plain,
% 53.40/33.61 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB5) | (~v112(constB5))),
% 53.40/33.61 inference(modus_ponens,[status(thm)],[1778, 1777])).
% 53.40/33.61 tff(1780,plain,
% 53.40/33.61 (v108(constB5)),
% 53.40/33.61 inference(unit_resolution,[status(thm)],[1779, 1075, 1773])).
% 53.40/33.61 tff(1781,plain,
% 53.40/33.61 (nextState(constB5, constB6) <=> nextState(constB5, constB6)),
% 53.40/33.61 inference(rewrite,[status(thm)],[])).
% 53.40/33.61 tff(1782,axiom,(nextState(constB5, constB6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_5_1')).
% 53.40/33.61 tff(1783,plain,
% 53.40/33.61 (nextState(constB5, constB6)),
% 53.40/33.61 inference(modus_ponens,[status(thm)],[1782, 1781])).
% 53.40/33.61 tff(1784,plain,
% 53.40/33.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5)))),
% 53.40/33.61 inference(rewrite,[status(thm)],[])).
% 53.40/33.61 tff(1785,plain,
% 53.40/33.61 (((~nextState(constB5, constB6)) | (~v108(constB5)) | v110(constB6)) <=> ((~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5)))),
% 53.40/33.61 inference(rewrite,[status(thm)],[])).
% 53.40/33.61 tff(1786,plain,
% 53.40/33.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB5, constB6)) | (~v108(constB5)) | v110(constB6))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5))))),
% 53.40/33.61 inference(monotonicity,[status(thm)],[1785])).
% 53.40/33.61 tff(1787,plain,
% 53.40/33.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB5, constB6)) | (~v108(constB5)) | v110(constB6))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5)))),
% 53.40/33.61 inference(transitivity,[status(thm)],[1786, 1784])).
% 53.40/33.61 tff(1788,plain,
% 53.40/33.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB5, constB6)) | (~v108(constB5)) | v110(constB6))),
% 53.40/33.61 inference(quant_inst,[status(thm)],[])).
% 53.40/33.61 tff(1789,plain,
% 53.40/33.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB5, constB6)) | v110(constB6) | (~v108(constB5))),
% 53.40/33.61 inference(modus_ponens,[status(thm)],[1788, 1787])).
% 53.40/33.61 tff(1790,plain,
% 53.40/33.61 (v110(constB6) | (~v108(constB5))),
% 53.40/33.61 inference(unit_resolution,[status(thm)],[1789, 1095, 1783])).
% 53.40/33.61 tff(1791,plain,
% 53.40/33.61 (v110(constB6)),
% 53.40/33.61 inference(unit_resolution,[status(thm)],[1790, 1780])).
% 53.40/33.61 tff(1792,plain,
% 53.40/33.61 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB5) | (~nextState(constB5, constB6)) | (~v104(constB6)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB5) | (~nextState(constB5, constB6)) | (~v104(constB6)))),
% 53.40/33.61 inference(rewrite,[status(thm)],[])).
% 53.40/33.61 tff(1793,plain,
% 53.40/33.61 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB5) | (~nextState(constB5, constB6)) | (~v104(constB6)))),
% 53.40/33.61 inference(quant_inst,[status(thm)],[])).
% 53.40/33.61 tff(1794,plain,
% 53.40/33.61 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB5) | (~nextState(constB5, constB6)) | (~v104(constB6))),
% 53.40/33.61 inference(modus_ponens,[status(thm)],[1793, 1792])).
% 53.40/33.61 tff(1795,plain,
% 53.40/33.61 (~v104(constB6)),
% 53.40/33.61 inference(unit_resolution,[status(thm)],[1794, 1113, 1783, 1548])).
% 53.40/33.61 tff(1796,plain,
% 53.40/33.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB5, constB6)) | v102(constB6) | v104(constB6))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB5, constB6)) | v102(constB6) | v104(constB6))),
% 53.40/33.61 inference(rewrite,[status(thm)],[])).
% 53.40/33.61 tff(1797,plain,
% 53.40/33.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB5, constB6)) | v102(constB6) | v104(constB6))),
% 53.40/33.61 inference(quant_inst,[status(thm)],[])).
% 53.40/33.61 tff(1798,plain,
% 53.40/33.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB5, constB6)) | v102(constB6) | v104(constB6)),
% 53.40/33.61 inference(modus_ponens,[status(thm)],[1797, 1796])).
% 53.40/33.61 tff(1799,plain,
% 53.40/33.61 (v102(constB6) | v104(constB6)),
% 53.40/33.61 inference(unit_resolution,[status(thm)],[1798, 1127, 1783])).
% 53.40/33.61 tff(1800,plain,
% 53.40/33.61 (v102(constB6)),
% 53.40/33.61 inference(unit_resolution,[status(thm)],[1799, 1795])).
% 53.40/33.61 tff(1801,plain,
% 53.40/33.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB5, constB6)) | v101(constB6) | (~v102(constB6)) | (~v1(constB6)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB5, constB6)) | v101(constB6) | (~v102(constB6)) | (~v1(constB6)))),
% 53.40/33.61 inference(rewrite,[status(thm)],[])).
% 53.40/33.61 tff(1802,plain,
% 53.40/33.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB5, constB6)) | v101(constB6) | (~v102(constB6)) | (~v1(constB6)))),
% 53.40/33.61 inference(quant_inst,[status(thm)],[])).
% 53.40/33.61 tff(1803,plain,
% 53.40/33.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB5, constB6)) | v101(constB6) | (~v102(constB6)) | (~v1(constB6))),
% 53.40/33.61 inference(modus_ponens,[status(thm)],[1802, 1801])).
% 53.40/33.61 tff(1804,plain,
% 53.40/33.61 (v101(constB6) | (~v102(constB6))),
% 53.40/33.61 inference(unit_resolution,[status(thm)],[1803, 1145, 1783, 662])).
% 53.40/33.61 tff(1805,plain,
% 53.40/33.61 (v101(constB6)),
% 53.40/33.61 inference(unit_resolution,[status(thm)],[1804, 1800])).
% 53.40/33.61 tff(1806,plain,
% 53.40/33.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6)))),
% 53.40/33.61 inference(rewrite,[status(thm)],[])).
% 53.40/33.61 tff(1807,plain,
% 53.40/33.61 (((~nextState(constB5, constB6)) | (~v101(constB6)) | (~v110(constB6)) | v100(constB6)) <=> ((~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6)))),
% 53.40/33.61 inference(rewrite,[status(thm)],[])).
% 53.40/33.61 tff(1808,plain,
% 53.40/33.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB5, constB6)) | (~v101(constB6)) | (~v110(constB6)) | v100(constB6))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6))))),
% 53.40/33.61 inference(monotonicity,[status(thm)],[1807])).
% 53.40/33.61 tff(1809,plain,
% 53.40/33.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB5, constB6)) | (~v101(constB6)) | (~v110(constB6)) | v100(constB6))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6)))),
% 53.40/33.61 inference(transitivity,[status(thm)],[1808, 1806])).
% 53.40/33.61 tff(1810,plain,
% 53.40/33.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB5, constB6)) | (~v101(constB6)) | (~v110(constB6)) | v100(constB6))),
% 53.40/33.61 inference(quant_inst,[status(thm)],[])).
% 53.40/33.61 tff(1811,plain,
% 53.40/33.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB5, constB6)) | v100(constB6) | (~v101(constB6)) | (~v110(constB6))),
% 53.40/33.61 inference(modus_ponens,[status(thm)],[1810, 1809])).
% 53.40/33.61 tff(1812,plain,
% 53.40/33.61 (v100(constB6) | (~v101(constB6)) | (~v110(constB6))),
% 53.40/33.61 inference(unit_resolution,[status(thm)],[1811, 1160, 1783])).
% 53.40/33.61 tff(1813,plain,
% 53.40/33.61 (v100(constB6) | (~v110(constB6))),
% 53.40/33.61 inference(unit_resolution,[status(thm)],[1812, 1805])).
% 53.40/33.61 tff(1814,plain,
% 53.40/33.61 (v100(constB6)),
% 53.40/33.61 inference(unit_resolution,[status(thm)],[1813, 1791])).
% 53.40/33.61 tff(1815,plain,
% 53.40/33.61 (^[VarCurr: state_type] : refl(((~v121(VarCurr)) | (~v130(VarCurr, 2))) <=> ((~v121(VarCurr)) | (~v130(VarCurr, 2))))),
% 53.40/33.61 inference(bind,[status(th)],[])).
% 53.40/33.61 tff(1816,plain,
% 53.40/33.61 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))),
% 53.40/33.61 inference(quant_intro,[status(thm)],[1815])).
% 53.40/33.61 tff(1817,plain,
% 53.40/33.61 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))),
% 53.40/33.61 inference(rewrite,[status(thm)],[])).
% 53.40/33.61 tff(1818,axiom,(![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_2_3')).
% 53.40/33.61 tff(1819,plain,
% 53.40/33.61 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))),
% 53.40/33.61 inference(modus_ponens,[status(thm)],[1818, 1817])).
% 53.40/33.61 tff(1820,plain,(
% 53.40/33.61 ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))),
% 53.40/33.61 inference(skolemize,[status(sab)],[1819])).
% 53.40/33.61 tff(1821,plain,
% 53.40/33.61 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))),
% 53.40/33.61 inference(modus_ponens,[status(thm)],[1820, 1816])).
% 53.40/33.61 tff(1822,plain,
% 53.40/33.61 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB5)) | (~v130(constB5, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB5)) | (~v130(constB5, 2)))),
% 53.40/33.61 inference(rewrite,[status(thm)],[])).
% 53.40/33.61 tff(1823,plain,
% 53.40/33.61 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB5)) | (~v130(constB5, 2)))),
% 53.40/33.61 inference(quant_inst,[status(thm)],[])).
% 53.40/33.61 tff(1824,plain,
% 53.40/33.61 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB5)) | (~v130(constB5, 2))),
% 53.40/33.61 inference(modus_ponens,[status(thm)],[1823, 1822])).
% 53.40/33.61 tff(1825,plain,
% 53.40/33.61 (~v130(constB5, 2)),
% 53.40/33.61 inference(unit_resolution,[status(thm)],[1824, 1821, 1735])).
% 53.40/33.61 tff(1826,plain,
% 53.40/33.61 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB5, 2)) | v26(constB5) | v130(constB5, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB5, 2)) | v26(constB5) | v130(constB5, 2))),
% 53.40/33.61 inference(rewrite,[status(thm)],[])).
% 53.40/33.61 tff(1827,plain,
% 53.40/33.61 ((v26(constB5) | v130(constB5, 2) | (~v127(constB5, 2))) <=> ((~v127(constB5, 2)) | v26(constB5) | v130(constB5, 2))),
% 53.40/33.61 inference(rewrite,[status(thm)],[])).
% 53.40/33.61 tff(1828,plain,
% 53.40/33.61 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB5) | v130(constB5, 2) | (~v127(constB5, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB5, 2)) | v26(constB5) | v130(constB5, 2)))),
% 53.40/33.61 inference(monotonicity,[status(thm)],[1827])).
% 53.40/33.61 tff(1829,plain,
% 53.40/33.61 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB5) | v130(constB5, 2) | (~v127(constB5, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB5, 2)) | v26(constB5) | v130(constB5, 2))),
% 53.40/33.61 inference(transitivity,[status(thm)],[1828, 1826])).
% 53.40/33.61 tff(1830,plain,
% 53.40/33.61 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB5) | v130(constB5, 2) | (~v127(constB5, 2)))),
% 53.40/33.61 inference(quant_inst,[status(thm)],[])).
% 53.40/33.61 tff(1831,plain,
% 53.40/33.61 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB5, 2)) | v26(constB5) | v130(constB5, 2)),
% 53.40/33.61 inference(modus_ponens,[status(thm)],[1830, 1829])).
% 53.40/33.61 tff(1832,plain,
% 53.40/33.61 ((~v127(constB5, 2)) | v26(constB5)),
% 53.40/33.61 inference(unit_resolution,[status(thm)],[1831, 1190, 1825])).
% 53.40/33.61 tff(1833,plain,
% 53.40/33.61 (~v127(constB5, 2)),
% 53.40/33.61 inference(unit_resolution,[status(thm)],[1832, 849])).
% 53.40/33.61 tff(1834,plain,
% 53.40/33.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB5, constB6)) | v127(constB5, 2) | (~v129(constB6, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB5, constB6)) | v127(constB5, 2) | (~v129(constB6, 2)))),
% 53.40/33.62 inference(rewrite,[status(thm)],[])).
% 53.40/33.62 tff(1835,plain,
% 53.40/33.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB5, constB6)) | v127(constB5, 2) | (~v129(constB6, 2)))),
% 53.40/33.62 inference(quant_inst,[status(thm)],[])).
% 53.40/33.62 tff(1836,plain,
% 53.40/33.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB5, constB6)) | v127(constB5, 2) | (~v129(constB6, 2))),
% 53.40/33.62 inference(modus_ponens,[status(thm)],[1835, 1834])).
% 53.40/33.62 tff(1837,plain,
% 53.40/33.62 (v127(constB5, 2) | (~v129(constB6, 2))),
% 53.40/33.62 inference(unit_resolution,[status(thm)],[1836, 1208, 1783])).
% 53.40/33.62 tff(1838,plain,
% 53.40/33.62 (~v129(constB6, 2)),
% 53.40/33.62 inference(unit_resolution,[status(thm)],[1837, 1833])).
% 53.40/33.62 tff(1839,plain,
% 53.40/33.62 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB6, 2)) | v129(constB6, 2) | (~v100(constB6)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB6, 2)) | v129(constB6, 2) | (~v100(constB6)))),
% 53.40/33.62 inference(rewrite,[status(thm)],[])).
% 53.40/33.62 tff(1840,plain,
% 53.40/33.62 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB6, 2)) | v129(constB6, 2) | (~v100(constB6)))),
% 53.40/33.62 inference(quant_inst,[status(thm)],[])).
% 53.40/33.62 tff(1841,plain,
% 53.40/33.62 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB6, 2)) | v129(constB6, 2) | (~v100(constB6))),
% 53.40/33.62 inference(modus_ponens,[status(thm)],[1840, 1839])).
% 53.40/33.62 tff(1842,plain,
% 53.40/33.62 ((~v90(constB6, 2)) | (~v100(constB6))),
% 53.40/33.62 inference(unit_resolution,[status(thm)],[1841, 1223, 1838])).
% 53.40/33.62 tff(1843,plain,
% 53.40/33.62 (~v90(constB6, 2)),
% 53.40/33.62 inference(unit_resolution,[status(thm)],[1842, 1814])).
% 53.40/33.62 tff(1844,plain,
% 53.40/33.62 ((~v1(constB7)) <=> (~v1(constB7))),
% 53.40/33.62 inference(rewrite,[status(thm)],[])).
% 53.40/33.62 tff(1845,axiom,(~v1(constB7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_7_1_1')).
% 53.40/33.62 tff(1846,plain,
% 53.40/33.62 (~v1(constB7)),
% 53.40/33.62 inference(modus_ponens,[status(thm)],[1845, 1844])).
% 53.40/33.62 tff(1847,plain,
% 53.40/33.62 (nextState(constB6, constB7) <=> nextState(constB6, constB7)),
% 53.40/33.62 inference(rewrite,[status(thm)],[])).
% 53.40/33.62 tff(1848,axiom,(nextState(constB6, constB7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_6_1')).
% 53.40/33.62 tff(1849,plain,
% 53.40/33.62 (nextState(constB6, constB7)),
% 53.40/33.62 inference(modus_ponens,[status(thm)],[1848, 1847])).
% 53.40/33.62 tff(1850,plain,
% 53.40/33.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7)))),
% 53.40/33.62 inference(rewrite,[status(thm)],[])).
% 53.40/33.62 tff(1851,plain,
% 53.40/33.62 (((~nextState(constB6, constB7)) | (~v101(constB7)) | v1(constB7)) <=> (v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7)))),
% 53.40/33.62 inference(rewrite,[status(thm)],[])).
% 53.40/33.62 tff(1852,plain,
% 53.40/33.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB6, constB7)) | (~v101(constB7)) | v1(constB7))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7))))),
% 53.40/33.62 inference(monotonicity,[status(thm)],[1851])).
% 53.40/33.62 tff(1853,plain,
% 53.40/33.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB6, constB7)) | (~v101(constB7)) | v1(constB7))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7)))),
% 53.40/33.62 inference(transitivity,[status(thm)],[1852, 1850])).
% 53.40/33.62 tff(1854,plain,
% 53.40/33.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB6, constB7)) | (~v101(constB7)) | v1(constB7))),
% 53.40/33.62 inference(quant_inst,[status(thm)],[])).
% 53.40/33.62 tff(1855,plain,
% 53.40/33.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB7) | (~nextState(constB6, constB7)) | (~v101(constB7))),
% 53.40/33.62 inference(modus_ponens,[status(thm)],[1854, 1853])).
% 53.40/33.62 tff(1856,plain,
% 53.40/33.62 (~v101(constB7)),
% 53.40/33.62 inference(unit_resolution,[status(thm)],[1855, 873, 1849, 1846])).
% 53.40/33.62 tff(1857,plain,
% 53.40/33.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB6, constB7)) | v101(constB7) | (~v100(constB7)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB6, constB7)) | v101(constB7) | (~v100(constB7)))),
% 53.40/33.62 inference(rewrite,[status(thm)],[])).
% 53.40/33.62 tff(1858,plain,
% 53.40/33.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB6, constB7)) | v101(constB7) | (~v100(constB7)))),
% 53.40/33.62 inference(quant_inst,[status(thm)],[])).
% 53.40/33.62 tff(1859,plain,
% 53.40/33.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB6, constB7)) | v101(constB7) | (~v100(constB7))),
% 53.40/33.62 inference(modus_ponens,[status(thm)],[1858, 1857])).
% 53.40/33.62 tff(1860,plain,
% 53.40/33.62 (v101(constB7) | (~v100(constB7))),
% 53.40/33.62 inference(unit_resolution,[status(thm)],[1859, 890, 1849])).
% 53.40/33.62 tff(1861,plain,
% 53.40/33.62 (~v100(constB7)),
% 53.40/33.62 inference(unit_resolution,[status(thm)],[1860, 1856])).
% 53.40/33.62 tff(1862,plain,
% 53.40/33.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB6, 2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB6, 2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, 2)))),
% 53.40/33.62 inference(rewrite,[status(thm)],[])).
% 53.40/33.62 tff(1863,plain,
% 53.40/33.62 (((~nextState(constB6, constB7)) | v90(constB6, 2) | v100(constB7) | (~v90(constB7, 2))) <=> (v90(constB6, 2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, 2)))),
% 53.40/33.62 inference(rewrite,[status(thm)],[])).
% 53.40/33.62 tff(1864,plain,
% 53.40/33.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB6, constB7)) | v90(constB6, 2) | v100(constB7) | (~v90(constB7, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB6, 2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, 2))))),
% 53.40/33.62 inference(monotonicity,[status(thm)],[1863])).
% 53.40/33.62 tff(1865,plain,
% 53.40/33.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB6, constB7)) | v90(constB6, 2) | v100(constB7) | (~v90(constB7, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB6, 2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, 2)))),
% 53.40/33.62 inference(transitivity,[status(thm)],[1864, 1862])).
% 53.40/33.62 tff(1866,plain,
% 53.40/33.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB6, constB7)) | v90(constB6, 2) | v100(constB7) | (~v90(constB7, 2)))),
% 53.40/33.62 inference(quant_inst,[status(thm)],[])).
% 53.40/33.62 tff(1867,plain,
% 53.40/33.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB6, 2) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, 2))),
% 53.40/33.62 inference(modus_ponens,[status(thm)],[1866, 1865])).
% 53.40/33.62 tff(1868,plain,
% 53.40/33.62 (v90(constB6, 2) | v100(constB7) | (~v90(constB7, 2))),
% 53.40/33.62 inference(unit_resolution,[status(thm)],[1867, 905, 1849])).
% 53.40/33.62 tff(1869,plain,
% 53.40/33.62 (v90(constB6, 2) | (~v90(constB7, 2))),
% 53.40/33.62 inference(unit_resolution,[status(thm)],[1868, 1861])).
% 53.40/33.62 tff(1870,plain,
% 53.40/33.62 (~v90(constB7, 2)),
% 53.40/33.62 inference(unit_resolution,[status(thm)],[1869, 1843])).
% 53.40/33.62 tff(1871,plain,
% 53.40/33.62 (^[VarCurr: state_type] : refl(((~v121(VarCurr)) | v130(VarCurr, 1)) <=> ((~v121(VarCurr)) | v130(VarCurr, 1)))),
% 53.40/33.62 inference(bind,[status(th)],[])).
% 53.40/33.62 tff(1872,plain,
% 53.40/33.62 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))),
% 53.40/33.62 inference(quant_intro,[status(thm)],[1871])).
% 53.40/33.62 tff(1873,plain,
% 53.40/33.62 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))),
% 53.40/33.62 inference(rewrite,[status(thm)],[])).
% 53.40/33.62 tff(1874,axiom,(![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_2_2')).
% 53.40/33.62 tff(1875,plain,
% 53.40/33.62 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))),
% 53.40/33.62 inference(modus_ponens,[status(thm)],[1874, 1873])).
% 53.40/33.62 tff(1876,plain,(
% 53.40/33.62 ![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))),
% 53.40/33.62 inference(skolemize,[status(sab)],[1875])).
% 53.40/33.62 tff(1877,plain,
% 53.40/33.62 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))),
% 53.40/33.62 inference(modus_ponens,[status(thm)],[1876, 1872])).
% 53.40/33.62 tff(1878,plain,
% 53.40/33.62 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB5)) | v130(constB5, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB5)) | v130(constB5, 1))),
% 53.40/33.62 inference(rewrite,[status(thm)],[])).
% 53.40/33.62 tff(1879,plain,
% 53.40/33.62 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB5)) | v130(constB5, 1))),
% 53.40/33.62 inference(quant_inst,[status(thm)],[])).
% 53.40/33.62 tff(1880,plain,
% 53.40/33.62 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB5)) | v130(constB5, 1)),
% 53.40/33.62 inference(modus_ponens,[status(thm)],[1879, 1878])).
% 53.40/33.62 tff(1881,plain,
% 53.40/33.62 (v130(constB5, 1)),
% 53.40/33.62 inference(unit_resolution,[status(thm)],[1880, 1877, 1735])).
% 53.40/33.62 tff(1882,plain,
% 53.40/33.62 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB5) | (~v130(constB5, 1)) | v127(constB5, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB5) | (~v130(constB5, 1)) | v127(constB5, 1))),
% 53.40/33.62 inference(rewrite,[status(thm)],[])).
% 53.40/33.62 tff(1883,plain,
% 53.40/33.62 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB5) | (~v130(constB5, 1)) | v127(constB5, 1))),
% 53.40/33.62 inference(quant_inst,[status(thm)],[])).
% 53.40/33.62 tff(1884,plain,
% 53.40/33.62 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB5) | (~v130(constB5, 1)) | v127(constB5, 1)),
% 53.40/33.62 inference(modus_ponens,[status(thm)],[1883, 1882])).
% 53.40/33.62 tff(1885,plain,
% 53.40/33.62 (v26(constB5) | v127(constB5, 1)),
% 53.40/33.62 inference(unit_resolution,[status(thm)],[1884, 1593, 1881])).
% 53.40/33.62 tff(1886,plain,
% 53.40/33.62 (v127(constB5, 1)),
% 53.40/33.62 inference(unit_resolution,[status(thm)],[1885, 849])).
% 53.40/33.62 tff(1887,plain,
% 53.40/33.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB5, constB6)) | (~v127(constB5, 1)) | v129(constB6, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB5, constB6)) | (~v127(constB5, 1)) | v129(constB6, 1))),
% 53.40/33.62 inference(rewrite,[status(thm)],[])).
% 53.40/33.62 tff(1888,plain,
% 53.40/33.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB5, constB6)) | (~v127(constB5, 1)) | v129(constB6, 1))),
% 53.40/33.62 inference(quant_inst,[status(thm)],[])).
% 53.40/33.62 tff(1889,plain,
% 53.40/33.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB5, constB6)) | (~v127(constB5, 1)) | v129(constB6, 1)),
% 53.40/33.62 inference(modus_ponens,[status(thm)],[1888, 1887])).
% 53.40/33.62 tff(1890,plain,
% 53.40/33.62 ((~v127(constB5, 1)) | v129(constB6, 1)),
% 53.40/33.62 inference(unit_resolution,[status(thm)],[1889, 1608, 1783])).
% 53.40/33.62 tff(1891,plain,
% 53.40/33.62 (v129(constB6, 1)),
% 53.40/33.62 inference(unit_resolution,[status(thm)],[1890, 1886])).
% 53.40/33.62 tff(1892,plain,
% 53.40/33.62 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB6, 1) | (~v129(constB6, 1)) | (~v100(constB6)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB6, 1) | (~v129(constB6, 1)) | (~v100(constB6)))),
% 53.46/33.62 inference(rewrite,[status(thm)],[])).
% 53.46/33.62 tff(1893,plain,
% 53.46/33.62 ((v90(constB6, 1) | (~v100(constB6)) | (~v129(constB6, 1))) <=> (v90(constB6, 1) | (~v129(constB6, 1)) | (~v100(constB6)))),
% 53.46/33.62 inference(rewrite,[status(thm)],[])).
% 53.46/33.62 tff(1894,plain,
% 53.46/33.62 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB6, 1) | (~v100(constB6)) | (~v129(constB6, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB6, 1) | (~v129(constB6, 1)) | (~v100(constB6))))),
% 53.46/33.62 inference(monotonicity,[status(thm)],[1893])).
% 53.46/33.62 tff(1895,plain,
% 53.46/33.62 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB6, 1) | (~v100(constB6)) | (~v129(constB6, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB6, 1) | (~v129(constB6, 1)) | (~v100(constB6)))),
% 53.46/33.62 inference(transitivity,[status(thm)],[1894, 1892])).
% 53.46/33.62 tff(1896,plain,
% 53.46/33.62 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB6, 1) | (~v100(constB6)) | (~v129(constB6, 1)))),
% 53.46/33.62 inference(quant_inst,[status(thm)],[])).
% 53.46/33.62 tff(1897,plain,
% 53.46/33.62 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB6, 1) | (~v129(constB6, 1)) | (~v100(constB6))),
% 53.46/33.62 inference(modus_ponens,[status(thm)],[1896, 1895])).
% 53.46/33.62 tff(1898,plain,
% 53.46/33.62 (v90(constB6, 1) | (~v100(constB6))),
% 53.46/33.62 inference(unit_resolution,[status(thm)],[1897, 1623, 1891])).
% 53.46/33.62 tff(1899,plain,
% 53.46/33.62 (v90(constB6, 1)),
% 53.46/33.62 inference(unit_resolution,[status(thm)],[1898, 1814])).
% 53.46/33.62 tff(1900,plain,
% 53.46/33.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB6, 1)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB6, 1)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, 1))),
% 53.46/33.62 inference(rewrite,[status(thm)],[])).
% 53.46/33.62 tff(1901,plain,
% 53.46/33.62 (((~nextState(constB6, constB7)) | (~v90(constB6, 1)) | v100(constB7) | v90(constB7, 1)) <=> ((~v90(constB6, 1)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, 1))),
% 53.46/33.62 inference(rewrite,[status(thm)],[])).
% 53.46/33.62 tff(1902,plain,
% 53.46/33.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB6, constB7)) | (~v90(constB6, 1)) | v100(constB7) | v90(constB7, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB6, 1)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, 1)))),
% 53.46/33.62 inference(monotonicity,[status(thm)],[1901])).
% 53.46/33.62 tff(1903,plain,
% 53.46/33.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB6, constB7)) | (~v90(constB6, 1)) | v100(constB7) | v90(constB7, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB6, 1)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, 1))),
% 53.46/33.62 inference(transitivity,[status(thm)],[1902, 1900])).
% 53.46/33.62 tff(1904,plain,
% 53.46/33.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB6, constB7)) | (~v90(constB6, 1)) | v100(constB7) | v90(constB7, 1))),
% 53.46/33.62 inference(quant_inst,[status(thm)],[])).
% 53.46/33.62 tff(1905,plain,
% 53.46/33.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB6, 1)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, 1)),
% 53.46/33.62 inference(modus_ponens,[status(thm)],[1904, 1903])).
% 53.46/33.62 tff(1906,plain,
% 53.46/33.62 ((~v90(constB6, 1)) | v100(constB7) | v90(constB7, 1)),
% 53.46/33.62 inference(unit_resolution,[status(thm)],[1905, 1641, 1849])).
% 53.46/33.62 tff(1907,plain,
% 53.46/33.62 ((~v90(constB6, 1)) | v90(constB7, 1)),
% 53.46/33.62 inference(unit_resolution,[status(thm)],[1906, 1861])).
% 53.46/33.62 tff(1908,plain,
% 53.46/33.62 (v90(constB7, 1)),
% 53.46/33.62 inference(unit_resolution,[status(thm)],[1907, 1899])).
% 53.46/33.62 tff(1909,plain,
% 53.46/33.62 (^[VarCurr: state_type] : refl(((~v121(VarCurr)) | v130(VarCurr, 0)) <=> ((~v121(VarCurr)) | v130(VarCurr, 0)))),
% 53.46/33.62 inference(bind,[status(th)],[])).
% 53.46/33.62 tff(1910,plain,
% 53.46/33.62 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))),
% 53.46/33.62 inference(quant_intro,[status(thm)],[1909])).
% 53.46/33.62 tff(1911,plain,
% 53.46/33.62 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))),
% 53.46/33.62 inference(rewrite,[status(thm)],[])).
% 53.46/33.62 tff(1912,axiom,(![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_2_1')).
% 53.46/33.62 tff(1913,plain,
% 53.46/33.62 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))),
% 53.46/33.62 inference(modus_ponens,[status(thm)],[1912, 1911])).
% 53.46/33.62 tff(1914,plain,(
% 53.46/33.62 ![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))),
% 53.46/33.62 inference(skolemize,[status(sab)],[1913])).
% 53.46/33.62 tff(1915,plain,
% 53.46/33.62 (![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))),
% 53.46/33.62 inference(modus_ponens,[status(thm)],[1914, 1910])).
% 53.46/33.62 tff(1916,plain,
% 53.46/33.62 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB5)) | v130(constB5, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB5)) | v130(constB5, 0))),
% 53.46/33.62 inference(rewrite,[status(thm)],[])).
% 53.46/33.62 tff(1917,plain,
% 53.46/33.62 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB5)) | v130(constB5, 0))),
% 53.46/33.62 inference(quant_inst,[status(thm)],[])).
% 53.46/33.62 tff(1918,plain,
% 53.46/33.62 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB5)) | v130(constB5, 0)),
% 53.46/33.62 inference(modus_ponens,[status(thm)],[1917, 1916])).
% 53.46/33.62 tff(1919,plain,
% 53.46/33.62 (v130(constB5, 0)),
% 53.46/33.62 inference(unit_resolution,[status(thm)],[1918, 1915, 1735])).
% 53.46/33.62 tff(1920,plain,
% 53.46/33.62 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB5) | (~v130(constB5, 0)) | v127(constB5, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB5) | (~v130(constB5, 0)) | v127(constB5, 0))),
% 53.46/33.62 inference(rewrite,[status(thm)],[])).
% 53.46/33.62 tff(1921,plain,
% 53.46/33.62 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB5) | (~v130(constB5, 0)) | v127(constB5, 0))),
% 53.46/33.62 inference(quant_inst,[status(thm)],[])).
% 53.46/33.62 tff(1922,plain,
% 53.46/33.62 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB5) | (~v130(constB5, 0)) | v127(constB5, 0)),
% 53.46/33.62 inference(modus_ponens,[status(thm)],[1921, 1920])).
% 53.46/33.62 tff(1923,plain,
% 53.46/33.62 (v26(constB5) | v127(constB5, 0)),
% 53.46/33.62 inference(unit_resolution,[status(thm)],[1922, 1347, 1919])).
% 53.46/33.62 tff(1924,plain,
% 53.46/33.62 (v127(constB5, 0)),
% 53.46/33.62 inference(unit_resolution,[status(thm)],[1923, 849])).
% 53.46/33.62 tff(1925,plain,
% 53.46/33.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB5, constB6)) | (~v127(constB5, 0)) | v129(constB6, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB5, constB6)) | (~v127(constB5, 0)) | v129(constB6, 0))),
% 53.46/33.62 inference(rewrite,[status(thm)],[])).
% 53.46/33.62 tff(1926,plain,
% 53.46/33.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB5, constB6)) | (~v127(constB5, 0)) | v129(constB6, 0))),
% 53.46/33.62 inference(quant_inst,[status(thm)],[])).
% 53.46/33.62 tff(1927,plain,
% 53.46/33.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB5, constB6)) | (~v127(constB5, 0)) | v129(constB6, 0)),
% 53.46/33.62 inference(modus_ponens,[status(thm)],[1926, 1925])).
% 53.46/33.62 tff(1928,plain,
% 53.46/33.62 ((~v127(constB5, 0)) | v129(constB6, 0)),
% 53.46/33.62 inference(unit_resolution,[status(thm)],[1927, 1362, 1783])).
% 53.46/33.62 tff(1929,plain,
% 53.46/33.62 (v129(constB6, 0)),
% 53.46/33.62 inference(unit_resolution,[status(thm)],[1928, 1924])).
% 53.46/33.62 tff(1930,plain,
% 53.46/33.62 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB6, 0) | (~v129(constB6, 0)) | (~v100(constB6)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB6, 0) | (~v129(constB6, 0)) | (~v100(constB6)))),
% 53.46/33.62 inference(rewrite,[status(thm)],[])).
% 53.46/33.62 tff(1931,plain,
% 53.46/33.62 ((v90(constB6, 0) | (~v100(constB6)) | (~v129(constB6, 0))) <=> (v90(constB6, 0) | (~v129(constB6, 0)) | (~v100(constB6)))),
% 53.46/33.62 inference(rewrite,[status(thm)],[])).
% 53.46/33.62 tff(1932,plain,
% 53.46/33.62 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB6, 0) | (~v100(constB6)) | (~v129(constB6, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB6, 0) | (~v129(constB6, 0)) | (~v100(constB6))))),
% 53.46/33.62 inference(monotonicity,[status(thm)],[1931])).
% 53.46/33.62 tff(1933,plain,
% 53.46/33.62 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB6, 0) | (~v100(constB6)) | (~v129(constB6, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB6, 0) | (~v129(constB6, 0)) | (~v100(constB6)))),
% 53.46/33.62 inference(transitivity,[status(thm)],[1932, 1930])).
% 53.46/33.62 tff(1934,plain,
% 53.46/33.62 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB6, 0) | (~v100(constB6)) | (~v129(constB6, 0)))),
% 53.46/33.62 inference(quant_inst,[status(thm)],[])).
% 53.46/33.62 tff(1935,plain,
% 53.46/33.62 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB6, 0) | (~v129(constB6, 0)) | (~v100(constB6))),
% 53.46/33.62 inference(modus_ponens,[status(thm)],[1934, 1933])).
% 53.46/33.62 tff(1936,plain,
% 53.46/33.62 (v90(constB6, 0) | (~v100(constB6))),
% 53.46/33.62 inference(unit_resolution,[status(thm)],[1935, 1377, 1929])).
% 53.46/33.62 tff(1937,plain,
% 53.46/33.62 (v90(constB6, 0)),
% 53.46/33.62 inference(unit_resolution,[status(thm)],[1936, 1814])).
% 53.46/33.62 tff(1938,plain,
% 53.46/33.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB6, 0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB6, 0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, 0))),
% 53.46/33.62 inference(rewrite,[status(thm)],[])).
% 53.46/33.62 tff(1939,plain,
% 53.46/33.62 (((~nextState(constB6, constB7)) | (~v90(constB6, 0)) | v100(constB7) | v90(constB7, 0)) <=> ((~v90(constB6, 0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, 0))),
% 53.46/33.62 inference(rewrite,[status(thm)],[])).
% 53.46/33.62 tff(1940,plain,
% 53.46/33.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB6, constB7)) | (~v90(constB6, 0)) | v100(constB7) | v90(constB7, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB6, 0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, 0)))),
% 53.46/33.62 inference(monotonicity,[status(thm)],[1939])).
% 53.46/33.62 tff(1941,plain,
% 53.46/33.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB6, constB7)) | (~v90(constB6, 0)) | v100(constB7) | v90(constB7, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB6, 0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, 0))),
% 53.46/33.62 inference(transitivity,[status(thm)],[1940, 1938])).
% 53.46/33.62 tff(1942,plain,
% 53.46/33.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB6, constB7)) | (~v90(constB6, 0)) | v100(constB7) | v90(constB7, 0))),
% 53.46/33.62 inference(quant_inst,[status(thm)],[])).
% 53.46/33.62 tff(1943,plain,
% 53.46/33.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB6, 0)) | (~nextState(constB6, constB7)) | v100(constB7) | v90(constB7, 0)),
% 53.46/33.62 inference(modus_ponens,[status(thm)],[1942, 1941])).
% 53.46/33.62 tff(1944,plain,
% 53.46/33.62 ((~v90(constB6, 0)) | v100(constB7) | v90(constB7, 0)),
% 53.46/33.62 inference(unit_resolution,[status(thm)],[1943, 1395, 1849])).
% 53.46/33.62 tff(1945,plain,
% 53.46/33.62 ((~v90(constB6, 0)) | v90(constB7, 0)),
% 53.46/33.62 inference(unit_resolution,[status(thm)],[1944, 1861])).
% 53.46/33.62 tff(1946,plain,
% 53.46/33.62 (v90(constB7, 0)),
% 53.46/33.62 inference(unit_resolution,[status(thm)],[1945, 1937])).
% 53.46/33.62 tff(1947,plain,
% 53.46/33.62 (^[VarCurr: state_type] : refl(((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr)) <=> ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr)))),
% 53.46/33.62 inference(bind,[status(th)],[])).
% 53.46/33.62 tff(1948,plain,
% 53.46/33.62 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))),
% 53.46/33.62 inference(quant_intro,[status(thm)],[1947])).
% 53.46/33.62 tff(1949,plain,
% 53.46/33.62 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))),
% 53.46/33.62 inference(rewrite,[status(thm)],[])).
% 53.46/33.62 tff(1950,plain,
% 53.46/33.62 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite((v90(VarCurr, 2) | (~v90(VarCurr, 0))) <=> ((~v90(VarCurr, 0)) | v90(VarCurr, 2))), (((v90(VarCurr, 2) | (~v90(VarCurr, 0))) | (~v90(VarCurr, 1))) <=> (((~v90(VarCurr, 0)) | v90(VarCurr, 2)) | (~v90(VarCurr, 1))))), rewrite((((~v90(VarCurr, 0)) | v90(VarCurr, 2)) | (~v90(VarCurr, 1))) <=> ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2))), (((v90(VarCurr, 2) | (~v90(VarCurr, 0))) | (~v90(VarCurr, 1))) <=> ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2)))), ((((v90(VarCurr, 2) | (~v90(VarCurr, 0))) | (~v90(VarCurr, 1))) | v122(VarCurr)) <=> (((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2)) | v122(VarCurr)))), rewrite((((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2)) | v122(VarCurr)) <=> ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))), ((((v90(VarCurr, 2) | (~v90(VarCurr, 0))) | (~v90(VarCurr, 1))) | v122(VarCurr)) <=> ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))))),
% 53.46/33.62 inference(bind,[status(th)],[])).
% 53.46/33.62 tff(1951,plain,
% 53.46/33.62 (![VarCurr: state_type] : (((v90(VarCurr, 2) | (~v90(VarCurr, 0))) | (~v90(VarCurr, 1))) | v122(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))),
% 53.46/33.62 inference(quant_intro,[status(thm)],[1950])).
% 53.46/33.62 tff(1952,axiom,(![VarCurr: state_type] : (((v90(VarCurr, 2) | (~v90(VarCurr, 0))) | (~v90(VarCurr, 1))) | v122(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_1')).
% 53.46/33.62 tff(1953,plain,
% 53.46/33.62 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))),
% 53.46/33.62 inference(modus_ponens,[status(thm)],[1952, 1951])).
% 53.46/33.62 tff(1954,plain,
% 53.46/33.62 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))),
% 53.46/33.62 inference(modus_ponens,[status(thm)],[1953, 1949])).
% 53.46/33.62 tff(1955,plain,(
% 53.46/33.62 ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))),
% 53.46/33.62 inference(skolemize,[status(sab)],[1954])).
% 53.46/33.62 tff(1956,plain,
% 53.46/33.62 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))),
% 53.46/33.62 inference(modus_ponens,[status(thm)],[1955, 1948])).
% 53.46/33.62 tff(1957,plain,
% 53.46/33.62 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB7, 0)) | (~v90(constB7, 1)) | v90(constB7, 2) | v122(constB7))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB7, 0)) | (~v90(constB7, 1)) | v90(constB7, 2) | v122(constB7))),
% 53.46/33.62 inference(rewrite,[status(thm)],[])).
% 53.46/33.62 tff(1958,plain,
% 53.46/33.62 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB7, 0)) | (~v90(constB7, 1)) | v90(constB7, 2) | v122(constB7))),
% 53.46/33.62 inference(quant_inst,[status(thm)],[])).
% 53.46/33.62 tff(1959,plain,
% 53.46/33.62 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB7, 0)) | (~v90(constB7, 1)) | v90(constB7, 2) | v122(constB7)),
% 53.46/33.62 inference(modus_ponens,[status(thm)],[1958, 1957])).
% 53.46/33.62 tff(1960,plain,
% 53.46/33.62 (v122(constB7)),
% 53.46/33.62 inference(unit_resolution,[status(thm)],[1959, 1956, 1946, 1908, 1870])).
% 53.46/33.62 tff(1961,plain,
% 53.46/33.62 (^[VarCurr: state_type] : refl(((~v122(VarCurr)) | v130(VarCurr, 2)) <=> ((~v122(VarCurr)) | v130(VarCurr, 2)))),
% 53.46/33.62 inference(bind,[status(th)],[])).
% 53.46/33.62 tff(1962,plain,
% 53.46/33.62 (![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))),
% 53.46/33.62 inference(quant_intro,[status(thm)],[1961])).
% 53.46/33.62 tff(1963,plain,
% 53.46/33.62 (![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))),
% 53.46/33.62 inference(rewrite,[status(thm)],[])).
% 53.46/33.62 tff(1964,axiom,(![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3_1_3')).
% 53.46/33.62 tff(1965,plain,
% 53.46/33.62 (![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))),
% 53.46/33.62 inference(modus_ponens,[status(thm)],[1964, 1963])).
% 53.46/33.62 tff(1966,plain,(
% 53.46/33.62 ![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))),
% 53.46/33.62 inference(skolemize,[status(sab)],[1965])).
% 53.46/33.62 tff(1967,plain,
% 53.46/33.62 (![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))),
% 53.46/33.62 inference(modus_ponens,[status(thm)],[1966, 1962])).
% 53.46/33.62 tff(1968,plain,
% 53.46/33.62 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB7)) | v130(constB7, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB7)) | v130(constB7, 2))),
% 53.46/33.62 inference(rewrite,[status(thm)],[])).
% 53.46/33.62 tff(1969,plain,
% 53.46/33.62 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB7)) | v130(constB7, 2))),
% 53.46/33.62 inference(quant_inst,[status(thm)],[])).
% 53.46/33.62 tff(1970,plain,
% 53.46/33.62 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB7)) | v130(constB7, 2)),
% 53.46/33.62 inference(modus_ponens,[status(thm)],[1969, 1968])).
% 53.46/33.62 tff(1971,plain,
% 53.46/33.62 (v130(constB7, 2)),
% 53.46/33.62 inference(unit_resolution,[status(thm)],[1970, 1967, 1960])).
% 53.46/33.62 tff(1972,plain,
% 53.46/33.62 (^[VarCurr: state_type] : refl((v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2)) <=> (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2)))),
% 53.46/33.62 inference(bind,[status(th)],[])).
% 53.46/33.62 tff(1973,plain,
% 53.46/33.62 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))),
% 53.46/33.62 inference(quant_intro,[status(thm)],[1972])).
% 53.46/33.62 tff(1974,plain,
% 53.46/33.62 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))),
% 53.46/33.62 inference(rewrite,[status(thm)],[])).
% 53.46/33.62 tff(1975,plain,
% 53.46/33.62 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v130(VarCurr, 2))) | v127(VarCurr, 2)) <=> (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2)))),
% 53.46/33.62 inference(bind,[status(th)],[])).
% 53.46/33.62 tff(1976,plain,
% 53.46/33.62 (![VarCurr: state_type] : ((v26(VarCurr) | (~v130(VarCurr, 2))) | v127(VarCurr, 2)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))),
% 53.46/33.62 inference(quant_intro,[status(thm)],[1975])).
% 53.46/33.62 tff(1977,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v130(VarCurr, 2))) | v127(VarCurr, 2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_5')).
% 53.46/33.62 tff(1978,plain,
% 53.46/33.62 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))),
% 53.46/33.62 inference(modus_ponens,[status(thm)],[1977, 1976])).
% 53.46/33.62 tff(1979,plain,
% 53.46/33.62 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))),
% 53.46/33.62 inference(modus_ponens,[status(thm)],[1978, 1974])).
% 53.46/33.62 tff(1980,plain,(
% 53.46/33.62 ![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))),
% 53.46/33.62 inference(skolemize,[status(sab)],[1979])).
% 53.46/33.62 tff(1981,plain,
% 53.46/33.62 (![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))),
% 53.46/33.62 inference(modus_ponens,[status(thm)],[1980, 1973])).
% 53.46/33.62 tff(1982,plain,
% 53.46/33.62 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB7) | (~v130(constB7, 2)) | v127(constB7, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB7) | (~v130(constB7, 2)) | v127(constB7, 2))),
% 53.46/33.62 inference(rewrite,[status(thm)],[])).
% 53.46/33.62 tff(1983,plain,
% 53.46/33.62 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB7) | (~v130(constB7, 2)) | v127(constB7, 2))),
% 53.46/33.62 inference(quant_inst,[status(thm)],[])).
% 53.46/33.62 tff(1984,plain,
% 53.46/33.62 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB7) | (~v130(constB7, 2)) | v127(constB7, 2)),
% 53.46/33.62 inference(modus_ponens,[status(thm)],[1983, 1982])).
% 53.46/33.62 tff(1985,plain,
% 53.46/33.62 (v26(constB7) | v127(constB7, 2)),
% 53.46/33.62 inference(unit_resolution,[status(thm)],[1984, 1981, 1971])).
% 53.46/33.62 tff(1986,plain,
% 53.46/33.62 (v127(constB7, 2)),
% 53.46/33.62 inference(unit_resolution,[status(thm)],[1985, 845])).
% 53.46/33.62 tff(1987,plain,
% 53.46/33.62 (nextState(constB7, constB8) <=> nextState(constB7, constB8)),
% 53.46/33.62 inference(rewrite,[status(thm)],[])).
% 53.46/33.62 tff(1988,axiom,(nextState(constB7, constB8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_7_1')).
% 53.46/33.62 tff(1989,plain,
% 53.46/33.62 (nextState(constB7, constB8)),
% 53.46/33.62 inference(modus_ponens,[status(thm)],[1988, 1987])).
% 53.46/33.62 tff(1990,plain,
% 53.46/33.62 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2)))),
% 53.46/33.62 inference(bind,[status(th)],[])).
% 53.46/33.62 tff(1991,plain,
% 53.46/33.62 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))),
% 53.46/33.62 inference(quant_intro,[status(thm)],[1990])).
% 53.46/33.62 tff(1992,plain,
% 53.46/33.62 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))),
% 53.46/33.62 inference(rewrite,[status(thm)],[])).
% 53.46/33.62 tff(1993,plain,
% 53.46/33.62 (^[VarNext: state_type, VarCurr: state_type] : rewrite((((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2))) | v129(VarNext, 2)) <=> ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2)))),
% 53.46/33.62 inference(bind,[status(th)],[])).
% 53.46/33.62 tff(1994,plain,
% 53.46/33.62 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2))) | v129(VarNext, 2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))),
% 53.46/33.62 inference(quant_intro,[status(thm)],[1993])).
% 53.46/33.62 tff(1995,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2))) | v129(VarNext, 2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_5')).
% 53.46/33.62 tff(1996,plain,
% 53.46/33.62 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))),
% 53.46/33.62 inference(modus_ponens,[status(thm)],[1995, 1994])).
% 53.46/33.62 tff(1997,plain,
% 53.46/33.62 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))),
% 53.46/33.62 inference(modus_ponens,[status(thm)],[1996, 1992])).
% 53.46/33.62 tff(1998,plain,(
% 53.46/33.62 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))),
% 53.46/33.62 inference(skolemize,[status(sab)],[1997])).
% 53.46/33.62 tff(1999,plain,
% 53.46/33.62 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))),
% 53.46/33.62 inference(modus_ponens,[status(thm)],[1998, 1991])).
% 53.46/33.62 tff(2000,plain,
% 53.46/33.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB7, constB8)) | (~v127(constB7, 2)) | v129(constB8, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB7, constB8)) | (~v127(constB7, 2)) | v129(constB8, 2))),
% 53.46/33.62 inference(rewrite,[status(thm)],[])).
% 53.46/33.62 tff(2001,plain,
% 53.46/33.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB7, constB8)) | (~v127(constB7, 2)) | v129(constB8, 2))),
% 53.46/33.62 inference(quant_inst,[status(thm)],[])).
% 53.46/33.62 tff(2002,plain,
% 53.46/33.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB7, constB8)) | (~v127(constB7, 2)) | v129(constB8, 2)),
% 53.46/33.62 inference(modus_ponens,[status(thm)],[2001, 2000])).
% 53.46/33.62 tff(2003,plain,
% 53.46/33.62 ((~v127(constB7, 2)) | v129(constB8, 2)),
% 53.46/33.62 inference(unit_resolution,[status(thm)],[2002, 1999, 1989])).
% 53.46/33.62 tff(2004,plain,
% 53.46/33.62 (v129(constB8, 2)),
% 53.46/33.62 inference(unit_resolution,[status(thm)],[2003, 1986])).
% 53.46/33.62 tff(2005,assumption,(~v100(constB8)), introduced(assumption)).
% 53.46/33.62 tff(2006,plain,
% 53.46/33.62 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB7) | (~nextState(constB7, constB8)) | (~v104(constB8)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB7) | (~nextState(constB7, constB8)) | (~v104(constB8)))),
% 53.46/33.62 inference(rewrite,[status(thm)],[])).
% 53.46/33.62 tff(2007,plain,
% 53.46/33.62 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB7) | (~nextState(constB7, constB8)) | (~v104(constB8)))),
% 53.46/33.62 inference(quant_inst,[status(thm)],[])).
% 53.46/33.62 tff(2008,plain,
% 53.46/33.62 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB7) | (~nextState(constB7, constB8)) | (~v104(constB8))),
% 53.46/33.62 inference(modus_ponens,[status(thm)],[2007, 2006])).
% 53.46/33.62 tff(2009,plain,
% 53.46/33.62 (~v104(constB8)),
% 53.46/33.62 inference(unit_resolution,[status(thm)],[2008, 1113, 1989, 1846])).
% 53.46/33.62 tff(2010,plain,
% 53.46/33.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB7, constB8)) | v102(constB8) | v104(constB8))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB7, constB8)) | v102(constB8) | v104(constB8))),
% 53.46/33.62 inference(rewrite,[status(thm)],[])).
% 53.46/33.62 tff(2011,plain,
% 53.46/33.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB7, constB8)) | v102(constB8) | v104(constB8))),
% 53.46/33.62 inference(quant_inst,[status(thm)],[])).
% 53.46/33.62 tff(2012,plain,
% 53.46/33.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB7, constB8)) | v102(constB8) | v104(constB8)),
% 53.46/33.62 inference(modus_ponens,[status(thm)],[2011, 2010])).
% 53.46/33.62 tff(2013,plain,
% 53.46/33.62 (v102(constB8) | v104(constB8)),
% 53.46/33.62 inference(unit_resolution,[status(thm)],[2012, 1127, 1989])).
% 53.46/33.62 tff(2014,plain,
% 53.46/33.62 (v102(constB8)),
% 53.46/33.62 inference(unit_resolution,[status(thm)],[2013, 2009])).
% 53.46/33.62 tff(2015,plain,
% 53.46/33.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB7, constB8)) | v101(constB8) | (~v102(constB8)) | (~v1(constB8)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB7, constB8)) | v101(constB8) | (~v102(constB8)) | (~v1(constB8)))),
% 53.46/33.62 inference(rewrite,[status(thm)],[])).
% 53.46/33.62 tff(2016,plain,
% 53.46/33.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB7, constB8)) | v101(constB8) | (~v102(constB8)) | (~v1(constB8)))),
% 53.46/33.62 inference(quant_inst,[status(thm)],[])).
% 53.46/33.62 tff(2017,plain,
% 53.46/33.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB7, constB8)) | v101(constB8) | (~v102(constB8)) | (~v1(constB8))),
% 53.46/33.62 inference(modus_ponens,[status(thm)],[2016, 2015])).
% 53.46/33.62 tff(2018,plain,
% 53.46/33.62 (v101(constB8) | (~v102(constB8))),
% 53.46/33.62 inference(unit_resolution,[status(thm)],[2017, 1145, 1989, 145])).
% 53.46/33.62 tff(2019,plain,
% 53.46/33.62 (v101(constB8)),
% 53.46/33.62 inference(unit_resolution,[status(thm)],[2018, 2014])).
% 53.46/33.62 tff(2020,plain,
% 53.46/33.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8)))),
% 53.46/33.62 inference(rewrite,[status(thm)],[])).
% 53.46/33.62 tff(2021,plain,
% 53.46/33.62 (((~nextState(constB7, constB8)) | (~v101(constB8)) | (~v110(constB8)) | v100(constB8)) <=> ((~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8)))),
% 53.46/33.62 inference(rewrite,[status(thm)],[])).
% 53.46/33.62 tff(2022,plain,
% 53.46/33.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB7, constB8)) | (~v101(constB8)) | (~v110(constB8)) | v100(constB8))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8))))),
% 53.46/33.62 inference(monotonicity,[status(thm)],[2021])).
% 53.46/33.62 tff(2023,plain,
% 53.46/33.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB7, constB8)) | (~v101(constB8)) | (~v110(constB8)) | v100(constB8))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8)))),
% 53.46/33.62 inference(transitivity,[status(thm)],[2022, 2020])).
% 53.46/33.62 tff(2024,plain,
% 53.46/33.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB7, constB8)) | (~v101(constB8)) | (~v110(constB8)) | v100(constB8))),
% 53.46/33.62 inference(quant_inst,[status(thm)],[])).
% 53.46/33.62 tff(2025,plain,
% 53.46/33.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB7, constB8)) | v100(constB8) | (~v101(constB8)) | (~v110(constB8))),
% 53.46/33.62 inference(modus_ponens,[status(thm)],[2024, 2023])).
% 53.46/33.63 tff(2026,plain,
% 53.46/33.63 (v100(constB8) | (~v101(constB8)) | (~v110(constB8))),
% 53.46/33.63 inference(unit_resolution,[status(thm)],[2025, 1160, 1989])).
% 53.46/33.63 tff(2027,plain,
% 53.46/33.63 (v100(constB8) | (~v110(constB8))),
% 53.46/33.63 inference(unit_resolution,[status(thm)],[2026, 2019])).
% 53.46/33.63 tff(2028,plain,
% 53.46/33.63 (~v110(constB8)),
% 53.46/33.63 inference(unit_resolution,[status(thm)],[2027, 2005])).
% 53.46/33.63 tff(2029,plain,
% 53.46/33.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7)))),
% 53.46/33.63 inference(rewrite,[status(thm)],[])).
% 53.46/33.63 tff(2030,plain,
% 53.46/33.63 (((~nextState(constB7, constB8)) | (~v108(constB7)) | v110(constB8)) <=> ((~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7)))),
% 53.46/33.63 inference(rewrite,[status(thm)],[])).
% 53.46/33.63 tff(2031,plain,
% 53.46/33.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB7, constB8)) | (~v108(constB7)) | v110(constB8))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7))))),
% 53.46/33.63 inference(monotonicity,[status(thm)],[2030])).
% 53.46/33.63 tff(2032,plain,
% 53.46/33.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB7, constB8)) | (~v108(constB7)) | v110(constB8))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7)))),
% 53.46/33.63 inference(transitivity,[status(thm)],[2031, 2029])).
% 53.46/33.63 tff(2033,plain,
% 53.46/33.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB7, constB8)) | (~v108(constB7)) | v110(constB8))),
% 53.46/33.63 inference(quant_inst,[status(thm)],[])).
% 53.46/33.63 tff(2034,plain,
% 53.46/33.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB7, constB8)) | v110(constB8) | (~v108(constB7))),
% 53.46/33.63 inference(modus_ponens,[status(thm)],[2033, 2032])).
% 53.46/33.63 tff(2035,plain,
% 53.46/33.63 (v110(constB8) | (~v108(constB7))),
% 53.46/33.63 inference(unit_resolution,[status(thm)],[2034, 1095, 1989])).
% 53.46/33.63 tff(2036,plain,
% 53.46/33.63 (~v108(constB7)),
% 53.46/33.63 inference(unit_resolution,[status(thm)],[2035, 2028])).
% 53.46/33.63 tff(2037,plain,
% 53.46/33.63 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB7) | (~v112(constB7)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB7) | (~v112(constB7)))),
% 53.46/33.63 inference(rewrite,[status(thm)],[])).
% 53.46/33.63 tff(2038,plain,
% 53.46/33.63 (((~v112(constB7)) | v108(constB7)) <=> (v108(constB7) | (~v112(constB7)))),
% 53.46/33.63 inference(rewrite,[status(thm)],[])).
% 53.46/33.63 tff(2039,plain,
% 53.46/33.63 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB7)) | v108(constB7))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB7) | (~v112(constB7))))),
% 53.46/33.63 inference(monotonicity,[status(thm)],[2038])).
% 53.46/33.63 tff(2040,plain,
% 53.46/33.63 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB7)) | v108(constB7))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB7) | (~v112(constB7)))),
% 53.46/33.63 inference(transitivity,[status(thm)],[2039, 2037])).
% 53.46/33.63 tff(2041,plain,
% 53.46/33.63 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB7)) | v108(constB7))),
% 53.46/33.63 inference(quant_inst,[status(thm)],[])).
% 53.46/33.63 tff(2042,plain,
% 53.46/33.63 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB7) | (~v112(constB7))),
% 53.46/33.63 inference(modus_ponens,[status(thm)],[2041, 2040])).
% 53.46/33.63 tff(2043,plain,
% 53.46/33.63 (~v112(constB7)),
% 53.46/33.63 inference(unit_resolution,[status(thm)],[2042, 1075, 2036])).
% 53.46/33.63 tff(2044,plain,
% 53.46/33.63 (^[VarCurr: state_type] : refl(((~v26(VarCurr)) | v108(VarCurr)) <=> ((~v26(VarCurr)) | v108(VarCurr)))),
% 53.46/33.63 inference(bind,[status(th)],[])).
% 53.46/33.63 tff(2045,plain,
% 53.46/33.63 (![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr)) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))),
% 53.46/33.63 inference(quant_intro,[status(thm)],[2044])).
% 53.46/33.63 tff(2046,plain,
% 53.46/33.63 (![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr)) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))),
% 53.46/33.63 inference(rewrite,[status(thm)],[])).
% 53.46/33.63 tff(2047,axiom,(![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_26_1_1_2')).
% 53.46/33.63 tff(2048,plain,
% 53.46/33.63 (![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))),
% 53.46/33.63 inference(modus_ponens,[status(thm)],[2047, 2046])).
% 53.46/33.63 tff(2049,plain,(
% 53.46/33.63 ![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))),
% 53.46/33.63 inference(skolemize,[status(sab)],[2048])).
% 53.46/33.63 tff(2050,plain,
% 53.46/33.63 (![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))),
% 53.46/33.63 inference(modus_ponens,[status(thm)],[2049, 2045])).
% 53.46/33.63 tff(2051,plain,
% 53.46/33.63 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB7) | (~v26(constB7)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB7) | (~v26(constB7)))),
% 53.46/33.63 inference(rewrite,[status(thm)],[])).
% 53.46/33.63 tff(2052,plain,
% 53.46/33.63 (((~v26(constB7)) | v108(constB7)) <=> (v108(constB7) | (~v26(constB7)))),
% 53.46/33.63 inference(rewrite,[status(thm)],[])).
% 53.46/33.63 tff(2053,plain,
% 53.46/33.63 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB7)) | v108(constB7))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB7) | (~v26(constB7))))),
% 53.46/33.63 inference(monotonicity,[status(thm)],[2052])).
% 53.46/33.63 tff(2054,plain,
% 53.46/33.63 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB7)) | v108(constB7))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB7) | (~v26(constB7)))),
% 53.46/33.63 inference(transitivity,[status(thm)],[2053, 2051])).
% 53.46/33.63 tff(2055,plain,
% 53.46/33.63 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB7)) | v108(constB7))),
% 53.46/33.63 inference(quant_inst,[status(thm)],[])).
% 53.46/33.63 tff(2056,plain,
% 53.46/33.63 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB7) | (~v26(constB7))),
% 53.46/33.63 inference(modus_ponens,[status(thm)],[2055, 2054])).
% 53.46/33.63 tff(2057,plain,
% 53.46/33.63 (~v26(constB7)),
% 53.46/33.63 inference(unit_resolution,[status(thm)],[2056, 2050, 2036])).
% 53.46/33.63 tff(2058,plain,
% 53.46/33.63 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB7) | v112(constB7) | (~v113(constB7)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB7) | v112(constB7) | (~v113(constB7)))),
% 53.46/33.63 inference(rewrite,[status(thm)],[])).
% 53.46/33.63 tff(2059,plain,
% 53.46/33.63 ((v26(constB7) | (~v113(constB7)) | v112(constB7)) <=> (v26(constB7) | v112(constB7) | (~v113(constB7)))),
% 53.46/33.63 inference(rewrite,[status(thm)],[])).
% 53.46/33.63 tff(2060,plain,
% 53.46/33.63 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB7) | (~v113(constB7)) | v112(constB7))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB7) | v112(constB7) | (~v113(constB7))))),
% 53.46/33.63 inference(monotonicity,[status(thm)],[2059])).
% 53.46/33.63 tff(2061,plain,
% 53.46/33.63 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB7) | (~v113(constB7)) | v112(constB7))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB7) | v112(constB7) | (~v113(constB7)))),
% 53.46/33.63 inference(transitivity,[status(thm)],[2060, 2058])).
% 53.46/33.63 tff(2062,plain,
% 53.46/33.63 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB7) | (~v113(constB7)) | v112(constB7))),
% 53.46/33.63 inference(quant_inst,[status(thm)],[])).
% 53.46/33.63 tff(2063,plain,
% 53.46/33.63 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB7) | v112(constB7) | (~v113(constB7))),
% 53.46/33.63 inference(modus_ponens,[status(thm)],[2062, 2061])).
% 53.46/33.63 tff(2064,plain,
% 53.46/33.63 (~v113(constB7)),
% 53.46/33.63 inference(unit_resolution,[status(thm)],[2063, 1063, 2057, 2043])).
% 53.46/33.63 tff(2065,plain,
% 53.46/33.63 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB7) | (~v114(constB7)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB7) | (~v114(constB7)))),
% 53.46/33.63 inference(rewrite,[status(thm)],[])).
% 53.46/33.63 tff(2066,plain,
% 53.46/33.63 (((~v114(constB7)) | v113(constB7)) <=> (v113(constB7) | (~v114(constB7)))),
% 53.46/33.63 inference(rewrite,[status(thm)],[])).
% 53.46/33.63 tff(2067,plain,
% 53.46/33.63 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB7)) | v113(constB7))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB7) | (~v114(constB7))))),
% 53.46/33.63 inference(monotonicity,[status(thm)],[2066])).
% 53.46/33.63 tff(2068,plain,
% 53.46/33.63 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB7)) | v113(constB7))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB7) | (~v114(constB7)))),
% 53.46/33.63 inference(transitivity,[status(thm)],[2067, 2065])).
% 53.46/33.63 tff(2069,plain,
% 53.46/33.63 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB7)) | v113(constB7))),
% 53.46/33.63 inference(quant_inst,[status(thm)],[])).
% 53.46/33.63 tff(2070,plain,
% 53.46/33.63 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB7) | (~v114(constB7))),
% 53.46/33.63 inference(modus_ponens,[status(thm)],[2069, 2068])).
% 53.46/33.63 tff(2071,plain,
% 53.46/33.63 (~v114(constB7)),
% 53.46/33.63 inference(unit_resolution,[status(thm)],[2070, 1049, 2064])).
% 53.46/33.63 tff(2072,plain,
% 53.46/33.63 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB7) | (~v115(constB7)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB7) | (~v115(constB7)))),
% 53.46/33.63 inference(rewrite,[status(thm)],[])).
% 53.46/33.63 tff(2073,plain,
% 53.46/33.63 (((~v115(constB7)) | v114(constB7)) <=> (v114(constB7) | (~v115(constB7)))),
% 53.46/33.63 inference(rewrite,[status(thm)],[])).
% 53.46/33.63 tff(2074,plain,
% 53.46/33.63 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB7)) | v114(constB7))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB7) | (~v115(constB7))))),
% 53.46/33.63 inference(monotonicity,[status(thm)],[2073])).
% 53.46/33.63 tff(2075,plain,
% 53.46/33.63 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB7)) | v114(constB7))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB7) | (~v115(constB7)))),
% 53.46/33.63 inference(transitivity,[status(thm)],[2074, 2072])).
% 53.46/33.63 tff(2076,plain,
% 53.46/33.63 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB7)) | v114(constB7))),
% 53.46/33.63 inference(quant_inst,[status(thm)],[])).
% 53.46/33.63 tff(2077,plain,
% 53.46/33.63 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB7) | (~v115(constB7))),
% 53.46/33.63 inference(modus_ponens,[status(thm)],[2076, 2075])).
% 53.46/33.63 tff(2078,plain,
% 53.46/33.63 (~v115(constB7)),
% 53.46/33.63 inference(unit_resolution,[status(thm)],[2077, 1035, 2071])).
% 53.46/33.63 tff(2079,plain,
% 53.46/33.63 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB7) | (~v116(constB7)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB7) | (~v116(constB7)))),
% 53.46/33.63 inference(rewrite,[status(thm)],[])).
% 53.46/33.63 tff(2080,plain,
% 53.46/33.63 (((~v116(constB7)) | v115(constB7)) <=> (v115(constB7) | (~v116(constB7)))),
% 53.46/33.63 inference(rewrite,[status(thm)],[])).
% 53.46/33.63 tff(2081,plain,
% 53.46/33.63 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB7)) | v115(constB7))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB7) | (~v116(constB7))))),
% 53.46/33.63 inference(monotonicity,[status(thm)],[2080])).
% 53.46/33.63 tff(2082,plain,
% 53.46/33.63 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB7)) | v115(constB7))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB7) | (~v116(constB7)))),
% 53.46/33.63 inference(transitivity,[status(thm)],[2081, 2079])).
% 53.46/33.63 tff(2083,plain,
% 53.46/33.63 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB7)) | v115(constB7))),
% 53.46/33.63 inference(quant_inst,[status(thm)],[])).
% 53.46/33.63 tff(2084,plain,
% 53.46/33.63 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB7) | (~v116(constB7))),
% 53.46/33.63 inference(modus_ponens,[status(thm)],[2083, 2082])).
% 53.46/33.63 tff(2085,plain,
% 53.46/33.63 (~v116(constB7)),
% 53.46/33.63 inference(unit_resolution,[status(thm)],[2084, 1021, 2078])).
% 53.46/33.63 tff(2086,plain,
% 53.46/33.63 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB7) | (~v117(constB7)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB7) | (~v117(constB7)))),
% 53.46/33.63 inference(rewrite,[status(thm)],[])).
% 53.46/33.63 tff(2087,plain,
% 53.46/33.63 (((~v117(constB7)) | v116(constB7)) <=> (v116(constB7) | (~v117(constB7)))),
% 53.46/33.63 inference(rewrite,[status(thm)],[])).
% 53.46/33.63 tff(2088,plain,
% 53.46/33.63 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB7)) | v116(constB7))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB7) | (~v117(constB7))))),
% 53.46/33.63 inference(monotonicity,[status(thm)],[2087])).
% 53.46/33.63 tff(2089,plain,
% 53.46/33.63 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB7)) | v116(constB7))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB7) | (~v117(constB7)))),
% 53.46/33.63 inference(transitivity,[status(thm)],[2088, 2086])).
% 53.46/33.63 tff(2090,plain,
% 53.46/33.63 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB7)) | v116(constB7))),
% 53.46/33.63 inference(quant_inst,[status(thm)],[])).
% 53.46/33.63 tff(2091,plain,
% 53.46/33.63 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB7) | (~v117(constB7))),
% 53.46/33.63 inference(modus_ponens,[status(thm)],[2090, 2089])).
% 53.46/33.63 tff(2092,plain,
% 53.46/33.63 (~v117(constB7)),
% 53.46/33.63 inference(unit_resolution,[status(thm)],[2091, 1007, 2085])).
% 53.46/33.63 tff(2093,plain,
% 53.46/33.63 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB7) | (~v121(constB7)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB7) | (~v121(constB7)))),
% 53.46/33.63 inference(rewrite,[status(thm)],[])).
% 53.46/33.63 tff(2094,plain,
% 53.46/33.63 (((~v121(constB7)) | v117(constB7)) <=> (v117(constB7) | (~v121(constB7)))),
% 53.46/33.63 inference(rewrite,[status(thm)],[])).
% 53.46/33.63 tff(2095,plain,
% 53.46/33.63 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB7)) | v117(constB7))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB7) | (~v121(constB7))))),
% 53.46/33.63 inference(monotonicity,[status(thm)],[2094])).
% 53.46/33.63 tff(2096,plain,
% 53.46/33.63 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB7)) | v117(constB7))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB7) | (~v121(constB7)))),
% 53.46/33.63 inference(transitivity,[status(thm)],[2095, 2093])).
% 53.46/33.63 tff(2097,plain,
% 53.46/33.63 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB7)) | v117(constB7))),
% 53.46/33.63 inference(quant_inst,[status(thm)],[])).
% 53.46/33.63 tff(2098,plain,
% 53.46/33.63 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB7) | (~v121(constB7))),
% 53.46/33.63 inference(modus_ponens,[status(thm)],[2097, 2096])).
% 53.46/33.63 tff(2099,plain,
% 53.46/33.63 (~v121(constB7)),
% 53.46/33.63 inference(unit_resolution,[status(thm)],[2098, 1742, 2092])).
% 53.46/33.63 tff(2100,plain,
% 53.46/33.63 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB7) | (~v118(constB7)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB7) | (~v118(constB7)))),
% 53.46/33.63 inference(rewrite,[status(thm)],[])).
% 53.46/33.63 tff(2101,plain,
% 53.46/33.63 (((~v118(constB7)) | v117(constB7)) <=> (v117(constB7) | (~v118(constB7)))),
% 53.46/33.63 inference(rewrite,[status(thm)],[])).
% 53.46/33.63 tff(2102,plain,
% 53.46/33.63 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB7)) | v117(constB7))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB7) | (~v118(constB7))))),
% 53.46/33.63 inference(monotonicity,[status(thm)],[2101])).
% 53.46/33.63 tff(2103,plain,
% 53.46/33.63 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB7)) | v117(constB7))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB7) | (~v118(constB7)))),
% 53.46/33.63 inference(transitivity,[status(thm)],[2102, 2100])).
% 53.46/33.63 tff(2104,plain,
% 53.46/33.63 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB7)) | v117(constB7))),
% 53.46/33.63 inference(quant_inst,[status(thm)],[])).
% 53.46/33.63 tff(2105,plain,
% 53.46/33.63 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB7) | (~v118(constB7))),
% 53.46/33.63 inference(modus_ponens,[status(thm)],[2104, 2103])).
% 53.46/33.63 tff(2106,plain,
% 53.46/33.63 (~v118(constB7)),
% 53.46/33.63 inference(unit_resolution,[status(thm)],[2105, 993, 2092])).
% 53.46/33.63 tff(2107,plain,
% 53.46/33.63 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB7) | (~v119(constB7)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB7) | (~v119(constB7)))),
% 53.46/33.63 inference(rewrite,[status(thm)],[])).
% 53.46/33.63 tff(2108,plain,
% 53.46/33.63 (((~v119(constB7)) | v118(constB7)) <=> (v118(constB7) | (~v119(constB7)))),
% 53.46/33.63 inference(rewrite,[status(thm)],[])).
% 53.46/33.63 tff(2109,plain,
% 53.46/33.63 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB7)) | v118(constB7))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB7) | (~v119(constB7))))),
% 53.46/33.63 inference(monotonicity,[status(thm)],[2108])).
% 53.46/33.63 tff(2110,plain,
% 53.46/33.63 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB7)) | v118(constB7))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB7) | (~v119(constB7)))),
% 53.46/33.63 inference(transitivity,[status(thm)],[2109, 2107])).
% 53.46/33.63 tff(2111,plain,
% 53.46/33.63 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB7)) | v118(constB7))),
% 53.46/33.63 inference(quant_inst,[status(thm)],[])).
% 53.46/33.63 tff(2112,plain,
% 53.46/33.63 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB7) | (~v119(constB7))),
% 53.46/33.63 inference(modus_ponens,[status(thm)],[2111, 2110])).
% 53.46/33.63 tff(2113,plain,
% 53.46/33.63 (~v119(constB7)),
% 53.46/33.63 inference(unit_resolution,[status(thm)],[2112, 982, 2106])).
% 53.46/33.63 tff(2114,plain,
% 53.46/33.63 (^[VarCurr: state_type] : refl(((~v122(VarCurr)) | v116(VarCurr)) <=> ((~v122(VarCurr)) | v116(VarCurr)))),
% 53.46/33.63 inference(bind,[status(th)],[])).
% 53.46/33.63 tff(2115,plain,
% 53.46/33.63 (![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr)) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))),
% 53.46/33.63 inference(quant_intro,[status(thm)],[2114])).
% 53.46/33.63 tff(2116,plain,
% 53.46/33.63 (![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr)) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))),
% 53.46/33.63 inference(rewrite,[status(thm)],[])).
% 53.46/33.63 tff(2117,axiom,(![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_21_1_1')).
% 53.46/33.63 tff(2118,plain,
% 53.46/33.63 (![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))),
% 53.46/33.63 inference(modus_ponens,[status(thm)],[2117, 2116])).
% 53.46/33.63 tff(2119,plain,(
% 53.46/33.63 ![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))),
% 53.46/33.63 inference(skolemize,[status(sab)],[2118])).
% 53.46/33.63 tff(2120,plain,
% 53.46/33.63 (![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))),
% 53.46/33.63 inference(modus_ponens,[status(thm)],[2119, 2115])).
% 53.46/33.63 tff(2121,plain,
% 53.46/33.63 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB7) | (~v122(constB7)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB7) | (~v122(constB7)))),
% 53.46/33.63 inference(rewrite,[status(thm)],[])).
% 53.46/33.63 tff(2122,plain,
% 53.46/33.63 (((~v122(constB7)) | v116(constB7)) <=> (v116(constB7) | (~v122(constB7)))),
% 53.46/33.63 inference(rewrite,[status(thm)],[])).
% 53.46/33.63 tff(2123,plain,
% 53.46/33.63 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB7)) | v116(constB7))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB7) | (~v122(constB7))))),
% 53.46/33.63 inference(monotonicity,[status(thm)],[2122])).
% 53.46/33.63 tff(2124,plain,
% 53.46/33.63 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB7)) | v116(constB7))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB7) | (~v122(constB7)))),
% 53.46/33.63 inference(transitivity,[status(thm)],[2123, 2121])).
% 53.46/33.63 tff(2125,plain,
% 53.46/33.63 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB7)) | v116(constB7))),
% 53.46/33.63 inference(quant_inst,[status(thm)],[])).
% 53.46/33.63 tff(2126,plain,
% 53.46/33.63 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB7) | (~v122(constB7))),
% 53.46/33.63 inference(modus_ponens,[status(thm)],[2125, 2124])).
% 53.46/33.63 tff(2127,plain,
% 53.46/33.63 (~v122(constB7)),
% 53.46/33.63 inference(unit_resolution,[status(thm)],[2126, 2120, 2085])).
% 53.46/33.63 tff(2128,plain,
% 53.46/33.63 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB7) | (~v120(constB7)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB7) | (~v120(constB7)))),
% 53.46/33.63 inference(rewrite,[status(thm)],[])).
% 53.46/33.63 tff(2129,plain,
% 53.46/33.63 (((~v120(constB7)) | v118(constB7)) <=> (v118(constB7) | (~v120(constB7)))),
% 53.46/33.63 inference(rewrite,[status(thm)],[])).
% 53.46/33.63 tff(2130,plain,
% 53.46/33.63 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB7)) | v118(constB7))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB7) | (~v120(constB7))))),
% 53.46/33.63 inference(monotonicity,[status(thm)],[2129])).
% 53.46/33.63 tff(2131,plain,
% 53.46/33.63 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB7)) | v118(constB7))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB7) | (~v120(constB7)))),
% 53.46/33.63 inference(transitivity,[status(thm)],[2130, 2128])).
% 53.46/33.63 tff(2132,plain,
% 53.46/33.63 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB7)) | v118(constB7))),
% 53.46/33.63 inference(quant_inst,[status(thm)],[])).
% 53.46/33.63 tff(2133,plain,
% 53.46/33.63 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB7) | (~v120(constB7))),
% 53.46/33.63 inference(modus_ponens,[status(thm)],[2132, 2131])).
% 53.46/33.63 tff(2134,plain,
% 53.46/33.63 (~v120(constB7)),
% 53.46/33.63 inference(unit_resolution,[status(thm)],[2133, 1425, 2106])).
% 53.46/33.63 tff(2135,assumption,(~v90(constB7, 2)), introduced(assumption)).
% 53.46/33.63 tff(2136,assumption,(~v121(constB7)), introduced(assumption)).
% 53.46/33.63 tff(2137,assumption,(~v119(constB7)), introduced(assumption)).
% 53.46/33.63 tff(2138,assumption,(~v90(constB7, 0)), introduced(assumption)).
% 53.46/33.63 tff(2139,plain,
% 53.46/33.63 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB7, 0) | (~v90(constB7, 1)) | v90(constB7, 2) | v121(constB7))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB7, 0) | (~v90(constB7, 1)) | v90(constB7, 2) | v121(constB7))),
% 53.46/33.63 inference(rewrite,[status(thm)],[])).
% 53.46/33.63 tff(2140,plain,
% 53.46/33.63 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB7, 0) | (~v90(constB7, 1)) | v90(constB7, 2) | v121(constB7))),
% 53.46/33.63 inference(quant_inst,[status(thm)],[])).
% 53.46/33.63 tff(2141,plain,
% 53.46/33.63 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB7, 0) | (~v90(constB7, 1)) | v90(constB7, 2) | v121(constB7)),
% 53.46/33.63 inference(modus_ponens,[status(thm)],[2140, 2139])).
% 53.46/33.63 tff(2142,plain,
% 53.46/33.63 (v90(constB7, 0) | (~v90(constB7, 1)) | v90(constB7, 2)),
% 53.46/33.63 inference(unit_resolution,[status(thm)],[2141, 1731, 2136])).
% 53.46/33.63 tff(2143,plain,
% 53.46/33.63 (~v90(constB7, 1)),
% 53.46/33.63 inference(unit_resolution,[status(thm)],[2142, 2138, 2135])).
% 53.46/33.63 tff(2144,plain,
% 53.46/33.63 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB7, 0) | v90(constB7, 1) | v90(constB7, 2) | v119(constB7))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB7, 0) | v90(constB7, 1) | v90(constB7, 2) | v119(constB7))),
% 53.46/33.63 inference(rewrite,[status(thm)],[])).
% 53.46/33.63 tff(2145,plain,
% 53.46/33.63 ((v90(constB7, 0) | v119(constB7) | v90(constB7, 1) | v90(constB7, 2)) <=> (v90(constB7, 0) | v90(constB7, 1) | v90(constB7, 2) | v119(constB7))),
% 53.46/33.63 inference(rewrite,[status(thm)],[])).
% 53.46/33.63 tff(2146,plain,
% 53.46/33.63 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB7, 0) | v119(constB7) | v90(constB7, 1) | v90(constB7, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB7, 0) | v90(constB7, 1) | v90(constB7, 2) | v119(constB7)))),
% 53.46/33.63 inference(monotonicity,[status(thm)],[2145])).
% 53.46/33.63 tff(2147,plain,
% 53.46/33.63 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB7, 0) | v119(constB7) | v90(constB7, 1) | v90(constB7, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB7, 0) | v90(constB7, 1) | v90(constB7, 2) | v119(constB7))),
% 53.46/33.63 inference(transitivity,[status(thm)],[2146, 2144])).
% 53.46/33.63 tff(2148,plain,
% 53.46/33.63 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB7, 0) | v119(constB7) | v90(constB7, 1) | v90(constB7, 2))),
% 53.46/33.63 inference(quant_inst,[status(thm)],[])).
% 53.46/33.63 tff(2149,plain,
% 53.46/33.63 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB7, 0) | v90(constB7, 1) | v90(constB7, 2) | v119(constB7)),
% 53.46/33.63 inference(modus_ponens,[status(thm)],[2148, 2147])).
% 53.46/33.63 tff(2150,plain,
% 53.46/33.63 (v90(constB7, 0) | v90(constB7, 1) | v90(constB7, 2)),
% 53.46/33.63 inference(unit_resolution,[status(thm)],[2149, 968, 2137])).
% 53.46/33.63 tff(2151,plain,
% 53.46/33.63 ($false),
% 53.46/33.63 inference(unit_resolution,[status(thm)],[2150, 2143, 2138, 2135])).
% 53.46/33.63 tff(2152,plain,(v90(constB7, 0) | v90(constB7, 2) | v119(constB7) | v121(constB7)), inference(lemma,lemma(discharge,[]))).
% 53.46/33.63 tff(2153,plain,
% 53.46/33.63 (v90(constB7, 0)),
% 53.46/33.63 inference(unit_resolution,[status(thm)],[2152, 2135, 2137, 2136])).
% 53.46/33.63 tff(2154,assumption,(~v122(constB7)), introduced(assumption)).
% 53.46/33.63 tff(2155,plain,
% 53.46/33.63 ((~v90(constB7, 0)) | (~v90(constB7, 1)) | v90(constB7, 2)),
% 53.46/33.63 inference(unit_resolution,[status(thm)],[1959, 1956, 2154])).
% 53.46/33.63 tff(2156,plain,
% 53.46/33.63 (~v90(constB7, 1)),
% 53.46/33.63 inference(unit_resolution,[status(thm)],[2155, 2153, 2135])).
% 53.46/33.63 tff(2157,assumption,(~v120(constB7)), introduced(assumption)).
% 53.46/33.63 tff(2158,plain,
% 53.46/33.63 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB7, 0)) | v90(constB7, 1) | v90(constB7, 2) | v120(constB7))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB7, 0)) | v90(constB7, 1) | v90(constB7, 2) | v120(constB7))),
% 53.46/33.63 inference(rewrite,[status(thm)],[])).
% 53.46/33.63 tff(2159,plain,
% 53.46/33.63 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB7, 0)) | v90(constB7, 1) | v90(constB7, 2) | v120(constB7))),
% 53.46/33.63 inference(quant_inst,[status(thm)],[])).
% 53.46/33.63 tff(2160,plain,
% 53.46/33.63 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB7, 0)) | v90(constB7, 1) | v90(constB7, 2) | v120(constB7)),
% 53.46/33.63 inference(modus_ponens,[status(thm)],[2159, 2158])).
% 53.46/33.63 tff(2161,plain,
% 53.46/33.63 ((~v90(constB7, 0)) | v90(constB7, 1) | v90(constB7, 2)),
% 53.46/33.63 inference(unit_resolution,[status(thm)],[2160, 1414, 2157])).
% 53.46/33.63 tff(2162,plain,
% 53.46/33.63 ($false),
% 53.46/33.63 inference(unit_resolution,[status(thm)],[2161, 2156, 2153, 2135])).
% 53.46/33.63 tff(2163,plain,(v90(constB7, 2) | v120(constB7) | v122(constB7) | v119(constB7) | v121(constB7)), inference(lemma,lemma(discharge,[]))).
% 53.46/33.63 tff(2164,plain,
% 53.46/33.63 (v90(constB7, 2)),
% 53.46/33.63 inference(unit_resolution,[status(thm)],[2163, 2134, 2127, 2113, 2099])).
% 53.46/33.63 tff(2165,plain,
% 53.46/33.63 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2)))),
% 53.46/33.63 inference(bind,[status(th)],[])).
% 53.46/33.63 tff(2166,plain,
% 53.46/33.63 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))),
% 53.46/33.63 inference(quant_intro,[status(thm)],[2165])).
% 53.46/33.63 tff(2167,plain,
% 53.46/33.63 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))),
% 53.46/33.63 inference(rewrite,[status(thm)],[])).
% 53.46/33.63 tff(2168,plain,
% 53.46/33.63 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v100(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 2))) <=> (((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 2))))), rewrite((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 2))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext))), ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 2))) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext)))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 2))) | v90(VarNext, 2)) <=> (((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext)) | v90(VarNext, 2)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext)) | v90(VarNext, 2)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))), (((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 2))) | v90(VarNext, 2)) <=> ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))))),
% 53.46/33.63 inference(bind,[status(th)],[])).
% 53.46/33.63 tff(2169,plain,
% 53.46/33.63 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 2))) | v90(VarNext, 2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))),
% 53.46/33.63 inference(quant_intro,[status(thm)],[2168])).
% 53.46/33.63 tff(2170,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v100(VarNext)) | (~v90(VarCurr, 2))) | v90(VarNext, 2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_5')).
% 53.46/33.63 tff(2171,plain,
% 53.46/33.63 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))),
% 53.46/33.63 inference(modus_ponens,[status(thm)],[2170, 2169])).
% 53.46/33.63 tff(2172,plain,
% 53.46/33.63 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))),
% 53.46/33.63 inference(modus_ponens,[status(thm)],[2171, 2167])).
% 53.46/33.63 tff(2173,plain,(
% 53.46/33.63 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))),
% 53.46/33.63 inference(skolemize,[status(sab)],[2172])).
% 53.46/33.63 tff(2174,plain,
% 53.46/33.63 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))),
% 53.46/33.63 inference(modus_ponens,[status(thm)],[2173, 2166])).
% 53.46/33.63 tff(2175,plain,
% 53.46/33.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB7, 2)) | (~nextState(constB7, constB8)) | v100(constB8) | v90(constB8, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB7, 2)) | (~nextState(constB7, constB8)) | v100(constB8) | v90(constB8, 2))),
% 53.46/33.63 inference(rewrite,[status(thm)],[])).
% 53.46/33.63 tff(2176,plain,
% 53.46/33.63 (((~nextState(constB7, constB8)) | (~v90(constB7, 2)) | v100(constB8) | v90(constB8, 2)) <=> ((~v90(constB7, 2)) | (~nextState(constB7, constB8)) | v100(constB8) | v90(constB8, 2))),
% 53.46/33.63 inference(rewrite,[status(thm)],[])).
% 53.46/33.63 tff(2177,plain,
% 53.46/33.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB7, constB8)) | (~v90(constB7, 2)) | v100(constB8) | v90(constB8, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB7, 2)) | (~nextState(constB7, constB8)) | v100(constB8) | v90(constB8, 2)))),
% 53.46/33.63 inference(monotonicity,[status(thm)],[2176])).
% 53.46/33.63 tff(2178,plain,
% 53.46/33.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB7, constB8)) | (~v90(constB7, 2)) | v100(constB8) | v90(constB8, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB7, 2)) | (~nextState(constB7, constB8)) | v100(constB8) | v90(constB8, 2))),
% 53.46/33.63 inference(transitivity,[status(thm)],[2177, 2175])).
% 53.46/33.63 tff(2179,plain,
% 53.46/33.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB7, constB8)) | (~v90(constB7, 2)) | v100(constB8) | v90(constB8, 2))),
% 53.46/33.63 inference(quant_inst,[status(thm)],[])).
% 53.46/33.63 tff(2180,plain,
% 53.46/33.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB7, 2)) | (~nextState(constB7, constB8)) | v100(constB8) | v90(constB8, 2)),
% 53.46/33.63 inference(modus_ponens,[status(thm)],[2179, 2178])).
% 53.46/33.63 tff(2181,plain,
% 53.46/33.63 ((~v90(constB7, 2)) | v100(constB8) | v90(constB8, 2)),
% 53.46/33.63 inference(unit_resolution,[status(thm)],[2180, 2174, 1989])).
% 53.46/33.63 tff(2182,plain,
% 53.46/33.63 (v90(constB8, 2)),
% 53.46/33.63 inference(unit_resolution,[status(thm)],[2181, 2164, 2005])).
% 53.46/33.63 tff(2183,assumption,(v90(constB8, 2)), introduced(assumption)).
% 53.46/33.63 tff(2184,plain,
% 53.46/33.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB7, 2) | (~nextState(constB7, constB8)) | v100(constB8) | (~v90(constB8, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB7, 2) | (~nextState(constB7, constB8)) | v100(constB8) | (~v90(constB8, 2)))),
% 53.46/33.63 inference(rewrite,[status(thm)],[])).
% 53.46/33.63 tff(2185,plain,
% 53.46/33.63 (((~nextState(constB7, constB8)) | v90(constB7, 2) | v100(constB8) | (~v90(constB8, 2))) <=> (v90(constB7, 2) | (~nextState(constB7, constB8)) | v100(constB8) | (~v90(constB8, 2)))),
% 53.46/33.63 inference(rewrite,[status(thm)],[])).
% 53.46/33.63 tff(2186,plain,
% 53.46/33.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB7, constB8)) | v90(constB7, 2) | v100(constB8) | (~v90(constB8, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB7, 2) | (~nextState(constB7, constB8)) | v100(constB8) | (~v90(constB8, 2))))),
% 53.46/33.63 inference(monotonicity,[status(thm)],[2185])).
% 53.46/33.63 tff(2187,plain,
% 53.46/33.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB7, constB8)) | v90(constB7, 2) | v100(constB8) | (~v90(constB8, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB7, 2) | (~nextState(constB7, constB8)) | v100(constB8) | (~v90(constB8, 2)))),
% 53.46/33.63 inference(transitivity,[status(thm)],[2186, 2184])).
% 53.46/33.63 tff(2188,plain,
% 53.46/33.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB7, constB8)) | v90(constB7, 2) | v100(constB8) | (~v90(constB8, 2)))),
% 53.46/33.63 inference(quant_inst,[status(thm)],[])).
% 53.46/33.63 tff(2189,plain,
% 53.46/33.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB7, 2) | (~nextState(constB7, constB8)) | v100(constB8) | (~v90(constB8, 2))),
% 53.46/33.63 inference(modus_ponens,[status(thm)],[2188, 2187])).
% 53.46/33.63 tff(2190,plain,
% 53.46/33.63 (v90(constB7, 2) | v100(constB8) | (~v90(constB8, 2))),
% 53.46/33.63 inference(unit_resolution,[status(thm)],[2189, 905, 1989])).
% 53.46/33.63 tff(2191,plain,
% 53.46/33.63 (v90(constB7, 2)),
% 53.46/33.63 inference(unit_resolution,[status(thm)],[2190, 2005, 2183])).
% 53.46/33.63 tff(2192,plain,
% 53.46/33.63 (v90(constB6, 2)),
% 53.46/33.63 inference(unit_resolution,[status(thm)],[1869, 2191])).
% 53.46/33.63 tff(2193,assumption,(v90(constB8, 0)), introduced(assumption)).
% 53.46/33.63 tff(2194,plain,
% 53.46/33.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB7, 0) | (~nextState(constB7, constB8)) | v100(constB8) | (~v90(constB8, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB7, 0) | (~nextState(constB7, constB8)) | v100(constB8) | (~v90(constB8, 0)))),
% 53.46/33.63 inference(rewrite,[status(thm)],[])).
% 53.46/33.63 tff(2195,plain,
% 53.46/33.63 (((~nextState(constB7, constB8)) | v90(constB7, 0) | v100(constB8) | (~v90(constB8, 0))) <=> (v90(constB7, 0) | (~nextState(constB7, constB8)) | v100(constB8) | (~v90(constB8, 0)))),
% 53.46/33.63 inference(rewrite,[status(thm)],[])).
% 53.46/33.63 tff(2196,plain,
% 53.46/33.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB7, constB8)) | v90(constB7, 0) | v100(constB8) | (~v90(constB8, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB7, 0) | (~nextState(constB7, constB8)) | v100(constB8) | (~v90(constB8, 0))))),
% 53.46/33.63 inference(monotonicity,[status(thm)],[2195])).
% 53.46/33.63 tff(2197,plain,
% 53.46/33.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB7, constB8)) | v90(constB7, 0) | v100(constB8) | (~v90(constB8, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB7, 0) | (~nextState(constB7, constB8)) | v100(constB8) | (~v90(constB8, 0)))),
% 53.46/33.63 inference(transitivity,[status(thm)],[2196, 2194])).
% 53.46/33.63 tff(2198,plain,
% 53.46/33.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB7, constB8)) | v90(constB7, 0) | v100(constB8) | (~v90(constB8, 0)))),
% 53.46/33.63 inference(quant_inst,[status(thm)],[])).
% 53.46/33.63 tff(2199,plain,
% 53.46/33.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB7, 0) | (~nextState(constB7, constB8)) | v100(constB8) | (~v90(constB8, 0))),
% 53.46/33.63 inference(modus_ponens,[status(thm)],[2198, 2197])).
% 53.46/33.63 tff(2200,plain,
% 53.46/33.63 (v90(constB7, 0) | v100(constB8) | (~v90(constB8, 0))),
% 53.46/33.63 inference(unit_resolution,[status(thm)],[2199, 947, 1989])).
% 53.46/33.63 tff(2201,plain,
% 53.46/33.63 (v90(constB7, 0)),
% 53.46/33.63 inference(unit_resolution,[status(thm)],[2200, 2005, 2193])).
% 53.46/33.63 tff(2202,plain,
% 53.46/33.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB6, 0) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB6, 0) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, 0)))),
% 53.46/33.63 inference(rewrite,[status(thm)],[])).
% 53.46/33.63 tff(2203,plain,
% 53.46/33.63 (((~nextState(constB6, constB7)) | v90(constB6, 0) | v100(constB7) | (~v90(constB7, 0))) <=> (v90(constB6, 0) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, 0)))),
% 53.46/33.63 inference(rewrite,[status(thm)],[])).
% 53.46/33.63 tff(2204,plain,
% 53.46/33.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB6, constB7)) | v90(constB6, 0) | v100(constB7) | (~v90(constB7, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB6, 0) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, 0))))),
% 53.46/33.63 inference(monotonicity,[status(thm)],[2203])).
% 53.46/33.63 tff(2205,plain,
% 53.46/33.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB6, constB7)) | v90(constB6, 0) | v100(constB7) | (~v90(constB7, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB6, 0) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, 0)))),
% 53.46/33.63 inference(transitivity,[status(thm)],[2204, 2202])).
% 53.46/33.63 tff(2206,plain,
% 53.46/33.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB6, constB7)) | v90(constB6, 0) | v100(constB7) | (~v90(constB7, 0)))),
% 53.46/33.63 inference(quant_inst,[status(thm)],[])).
% 53.46/33.63 tff(2207,plain,
% 53.46/33.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB6, 0) | (~nextState(constB6, constB7)) | v100(constB7) | (~v90(constB7, 0))),
% 53.46/33.63 inference(modus_ponens,[status(thm)],[2206, 2205])).
% 53.46/33.63 tff(2208,plain,
% 53.46/33.63 (v90(constB6, 0) | v100(constB7) | (~v90(constB7, 0))),
% 53.46/33.63 inference(unit_resolution,[status(thm)],[2207, 947, 1849])).
% 53.46/33.63 tff(2209,plain,
% 53.46/33.63 (v90(constB6, 0) | (~v90(constB7, 0))),
% 53.46/33.63 inference(unit_resolution,[status(thm)],[2208, 1861])).
% 53.46/33.63 tff(2210,plain,
% 53.46/33.63 (v90(constB6, 0)),
% 53.46/33.63 inference(unit_resolution,[status(thm)],[2209, 2201])).
% 53.46/33.63 tff(2211,plain,
% 53.46/33.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB5, 0) | (~nextState(constB5, constB6)) | v100(constB6) | (~v90(constB6, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB5, 0) | (~nextState(constB5, constB6)) | v100(constB6) | (~v90(constB6, 0)))),
% 53.46/33.63 inference(rewrite,[status(thm)],[])).
% 53.46/33.63 tff(2212,plain,
% 53.46/33.63 (((~nextState(constB5, constB6)) | v90(constB5, 0) | v100(constB6) | (~v90(constB6, 0))) <=> (v90(constB5, 0) | (~nextState(constB5, constB6)) | v100(constB6) | (~v90(constB6, 0)))),
% 53.46/33.63 inference(rewrite,[status(thm)],[])).
% 53.46/33.63 tff(2213,plain,
% 53.46/33.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB5, constB6)) | v90(constB5, 0) | v100(constB6) | (~v90(constB6, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB5, 0) | (~nextState(constB5, constB6)) | v100(constB6) | (~v90(constB6, 0))))),
% 53.46/33.63 inference(monotonicity,[status(thm)],[2212])).
% 53.46/33.63 tff(2214,plain,
% 53.46/33.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB5, constB6)) | v90(constB5, 0) | v100(constB6) | (~v90(constB6, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB5, 0) | (~nextState(constB5, constB6)) | v100(constB6) | (~v90(constB6, 0)))),
% 53.46/33.63 inference(transitivity,[status(thm)],[2213, 2211])).
% 53.46/33.63 tff(2215,plain,
% 53.46/33.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB5, constB6)) | v90(constB5, 0) | v100(constB6) | (~v90(constB6, 0)))),
% 53.46/33.63 inference(quant_inst,[status(thm)],[])).
% 53.46/33.63 tff(2216,plain,
% 53.46/33.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB5, 0) | (~nextState(constB5, constB6)) | v100(constB6) | (~v90(constB6, 0))),
% 53.46/33.63 inference(modus_ponens,[status(thm)],[2215, 2214])).
% 53.46/33.63 tff(2217,plain,
% 53.46/33.63 (v90(constB5, 0) | v100(constB6) | (~v90(constB6, 0))),
% 53.46/33.63 inference(unit_resolution,[status(thm)],[2216, 947, 1783])).
% 53.46/33.63 tff(2218,plain,
% 53.46/33.63 (v100(constB6) | (~v90(constB6, 0))),
% 53.46/33.63 inference(unit_resolution,[status(thm)],[2217, 1721])).
% 53.46/33.63 tff(2219,plain,
% 53.46/33.63 (v100(constB6)),
% 53.46/33.63 inference(unit_resolution,[status(thm)],[2218, 2210])).
% 53.46/33.63 tff(2220,plain,
% 53.46/33.63 (v129(constB6, 2)),
% 53.46/33.63 inference(unit_resolution,[status(thm)],[1841, 1223, 2219, 2192])).
% 53.46/33.63 tff(2221,plain,
% 53.46/33.63 (v127(constB5, 2)),
% 53.46/33.63 inference(unit_resolution,[status(thm)],[1837, 2220])).
% 53.46/33.63 tff(2222,plain,
% 53.46/33.63 (v26(constB5)),
% 53.46/33.63 inference(unit_resolution,[status(thm)],[1832, 2221])).
% 53.46/33.63 tff(2223,plain,
% 53.46/33.63 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB6, 0)) | v129(constB6, 0) | (~v100(constB6)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB6, 0)) | v129(constB6, 0) | (~v100(constB6)))),
% 53.46/33.63 inference(rewrite,[status(thm)],[])).
% 53.46/33.63 tff(2224,plain,
% 53.46/33.63 (((~v90(constB6, 0)) | (~v100(constB6)) | v129(constB6, 0)) <=> ((~v90(constB6, 0)) | v129(constB6, 0) | (~v100(constB6)))),
% 53.46/33.63 inference(rewrite,[status(thm)],[])).
% 53.46/33.63 tff(2225,plain,
% 53.46/33.63 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB6, 0)) | (~v100(constB6)) | v129(constB6, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB6, 0)) | v129(constB6, 0) | (~v100(constB6))))),
% 53.46/33.63 inference(monotonicity,[status(thm)],[2224])).
% 53.46/33.63 tff(2226,plain,
% 53.46/33.63 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB6, 0)) | (~v100(constB6)) | v129(constB6, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB6, 0)) | v129(constB6, 0) | (~v100(constB6)))),
% 53.46/33.63 inference(transitivity,[status(thm)],[2225, 2223])).
% 53.46/33.63 tff(2227,plain,
% 53.46/33.63 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB6, 0)) | (~v100(constB6)) | v129(constB6, 0))),
% 53.46/33.63 inference(quant_inst,[status(thm)],[])).
% 53.46/33.63 tff(2228,plain,
% 53.46/33.63 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB6, 0)) | v129(constB6, 0) | (~v100(constB6))),
% 53.46/33.63 inference(modus_ponens,[status(thm)],[2227, 2226])).
% 53.46/33.63 tff(2229,plain,
% 53.46/33.63 (v129(constB6, 0)),
% 53.46/33.63 inference(unit_resolution,[status(thm)],[2228, 1704, 2219, 2210])).
% 53.46/33.63 tff(2230,plain,
% 53.46/33.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB5, constB6)) | v127(constB5, 0) | (~v129(constB6, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB5, constB6)) | v127(constB5, 0) | (~v129(constB6, 0)))),
% 53.46/33.63 inference(rewrite,[status(thm)],[])).
% 53.46/33.63 tff(2231,plain,
% 53.46/33.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB5, constB6)) | v127(constB5, 0) | (~v129(constB6, 0)))),
% 53.46/33.63 inference(quant_inst,[status(thm)],[])).
% 53.46/33.63 tff(2232,plain,
% 53.46/33.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB5, constB6)) | v127(constB5, 0) | (~v129(constB6, 0))),
% 53.46/33.63 inference(modus_ponens,[status(thm)],[2231, 2230])).
% 53.46/33.63 tff(2233,plain,
% 53.46/33.63 (v127(constB5, 0) | (~v129(constB6, 0))),
% 53.46/33.63 inference(unit_resolution,[status(thm)],[2232, 1689, 1783])).
% 53.46/33.63 tff(2234,plain,
% 53.46/33.63 (v127(constB5, 0)),
% 53.46/33.63 inference(unit_resolution,[status(thm)],[2233, 2229])).
% 53.46/33.63 tff(2235,plain,
% 53.46/33.63 (^[VarCurr: state_type] : refl(((~v26(VarCurr)) | (~v127(VarCurr, 0))) <=> ((~v26(VarCurr)) | (~v127(VarCurr, 0))))),
% 53.46/33.64 inference(bind,[status(th)],[])).
% 53.46/33.64 tff(2236,plain,
% 53.46/33.64 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))),
% 53.46/33.64 inference(quant_intro,[status(thm)],[2235])).
% 53.46/33.64 tff(2237,plain,
% 53.46/33.64 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))),
% 53.46/33.64 inference(rewrite,[status(thm)],[])).
% 53.46/33.64 tff(2238,axiom,(![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_1_1_1_1')).
% 53.46/33.64 tff(2239,plain,
% 53.46/33.64 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))),
% 53.46/33.64 inference(modus_ponens,[status(thm)],[2238, 2237])).
% 53.46/33.64 tff(2240,plain,(
% 53.46/33.64 ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))),
% 53.46/33.64 inference(skolemize,[status(sab)],[2239])).
% 53.46/33.64 tff(2241,plain,
% 53.46/33.64 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))),
% 53.46/33.64 inference(modus_ponens,[status(thm)],[2240, 2236])).
% 53.46/33.64 tff(2242,plain,
% 53.46/33.64 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | ((~v26(constB5)) | (~v127(constB5, 0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | (~v26(constB5)) | (~v127(constB5, 0)))),
% 53.46/33.64 inference(rewrite,[status(thm)],[])).
% 53.46/33.64 tff(2243,plain,
% 53.46/33.64 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | ((~v26(constB5)) | (~v127(constB5, 0)))),
% 53.46/33.64 inference(quant_inst,[status(thm)],[])).
% 53.46/33.64 tff(2244,plain,
% 53.46/33.64 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | (~v26(constB5)) | (~v127(constB5, 0))),
% 53.46/33.64 inference(modus_ponens,[status(thm)],[2243, 2242])).
% 53.46/33.64 tff(2245,plain,
% 53.46/33.64 ($false),
% 53.46/33.64 inference(unit_resolution,[status(thm)],[2244, 2241, 2234, 2222])).
% 53.46/33.64 tff(2246,plain,(v100(constB8) | (~v90(constB8, 2)) | (~v90(constB8, 0))), inference(lemma,lemma(discharge,[]))).
% 53.46/33.64 tff(2247,plain,
% 53.46/33.64 (~v90(constB8, 0)),
% 53.46/33.64 inference(unit_resolution,[status(thm)],[2246, 2182, 2005])).
% 53.46/33.64 tff(2248,plain,
% 53.46/33.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB7, 0)) | (~nextState(constB7, constB8)) | v100(constB8) | v90(constB8, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB7, 0)) | (~nextState(constB7, constB8)) | v100(constB8) | v90(constB8, 0))),
% 53.46/33.64 inference(rewrite,[status(thm)],[])).
% 53.46/33.64 tff(2249,plain,
% 53.46/33.64 (((~nextState(constB7, constB8)) | (~v90(constB7, 0)) | v100(constB8) | v90(constB8, 0)) <=> ((~v90(constB7, 0)) | (~nextState(constB7, constB8)) | v100(constB8) | v90(constB8, 0))),
% 53.46/33.64 inference(rewrite,[status(thm)],[])).
% 53.46/33.64 tff(2250,plain,
% 53.46/33.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB7, constB8)) | (~v90(constB7, 0)) | v100(constB8) | v90(constB8, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB7, 0)) | (~nextState(constB7, constB8)) | v100(constB8) | v90(constB8, 0)))),
% 53.46/33.64 inference(monotonicity,[status(thm)],[2249])).
% 53.46/33.64 tff(2251,plain,
% 53.46/33.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB7, constB8)) | (~v90(constB7, 0)) | v100(constB8) | v90(constB8, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB7, 0)) | (~nextState(constB7, constB8)) | v100(constB8) | v90(constB8, 0))),
% 53.46/33.64 inference(transitivity,[status(thm)],[2250, 2248])).
% 53.46/33.64 tff(2252,plain,
% 53.46/33.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB7, constB8)) | (~v90(constB7, 0)) | v100(constB8) | v90(constB8, 0))),
% 53.46/33.64 inference(quant_inst,[status(thm)],[])).
% 53.46/33.64 tff(2253,plain,
% 53.46/33.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB7, 0)) | (~nextState(constB7, constB8)) | v100(constB8) | v90(constB8, 0)),
% 53.46/33.64 inference(modus_ponens,[status(thm)],[2252, 2251])).
% 53.46/33.64 tff(2254,plain,
% 53.46/33.64 ((~v90(constB7, 0)) | v100(constB8) | v90(constB8, 0)),
% 53.46/33.64 inference(unit_resolution,[status(thm)],[2253, 1395, 1989])).
% 53.46/33.64 tff(2255,plain,
% 53.46/33.64 (~v90(constB7, 0)),
% 53.46/33.64 inference(unit_resolution,[status(thm)],[2254, 2247, 2005])).
% 53.46/33.64 tff(2256,plain,
% 53.46/33.64 (^[VarCurr: state_type] : refl(((~v125(VarCurr)) | v113(VarCurr)) <=> ((~v125(VarCurr)) | v113(VarCurr)))),
% 53.46/33.64 inference(bind,[status(th)],[])).
% 53.46/33.64 tff(2257,plain,
% 53.46/33.64 (![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr)) <=> ![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))),
% 53.46/33.64 inference(quant_intro,[status(thm)],[2256])).
% 53.46/33.64 tff(2258,plain,
% 53.46/33.64 (![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr)) <=> ![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))),
% 53.46/33.64 inference(rewrite,[status(thm)],[])).
% 53.46/33.64 tff(2259,axiom,(![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_24_1_1')).
% 53.46/33.64 tff(2260,plain,
% 53.46/33.64 (![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))),
% 53.46/33.64 inference(modus_ponens,[status(thm)],[2259, 2258])).
% 53.46/33.64 tff(2261,plain,(
% 53.46/33.64 ![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))),
% 53.46/33.64 inference(skolemize,[status(sab)],[2260])).
% 53.46/33.64 tff(2262,plain,
% 53.46/33.64 (![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))),
% 53.46/33.64 inference(modus_ponens,[status(thm)],[2261, 2257])).
% 53.46/33.64 tff(2263,plain,
% 53.46/33.64 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB7) | (~v125(constB7)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB7) | (~v125(constB7)))),
% 53.46/33.64 inference(rewrite,[status(thm)],[])).
% 53.46/33.64 tff(2264,plain,
% 53.46/33.64 (((~v125(constB7)) | v113(constB7)) <=> (v113(constB7) | (~v125(constB7)))),
% 53.46/33.64 inference(rewrite,[status(thm)],[])).
% 53.46/33.64 tff(2265,plain,
% 53.46/33.64 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB7)) | v113(constB7))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB7) | (~v125(constB7))))),
% 53.46/33.64 inference(monotonicity,[status(thm)],[2264])).
% 53.46/33.64 tff(2266,plain,
% 53.46/33.64 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB7)) | v113(constB7))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB7) | (~v125(constB7)))),
% 53.46/33.64 inference(transitivity,[status(thm)],[2265, 2263])).
% 53.46/33.64 tff(2267,plain,
% 53.46/33.64 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB7)) | v113(constB7))),
% 53.46/33.64 inference(quant_inst,[status(thm)],[])).
% 53.46/33.64 tff(2268,plain,
% 53.46/33.64 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB7) | (~v125(constB7))),
% 53.46/33.64 inference(modus_ponens,[status(thm)],[2267, 2266])).
% 53.46/33.64 tff(2269,plain,
% 53.46/33.64 (~v125(constB7)),
% 53.46/33.64 inference(unit_resolution,[status(thm)],[2268, 2262, 2064])).
% 53.46/33.64 tff(2270,plain,
% 53.46/33.64 (^[VarCurr: state_type] : refl((v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr)) <=> (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr)))),
% 53.46/33.64 inference(bind,[status(th)],[])).
% 53.46/33.64 tff(2271,plain,
% 53.46/33.64 (![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))),
% 53.46/33.64 inference(quant_intro,[status(thm)],[2270])).
% 53.46/33.64 tff(2272,plain,
% 53.46/33.64 (![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))),
% 53.46/33.64 inference(rewrite,[status(thm)],[])).
% 53.46/33.64 tff(2273,plain,
% 53.46/33.64 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite((v90(VarCurr, 0) | (~v90(VarCurr, 1))) <=> (v90(VarCurr, 0) | (~v90(VarCurr, 1)))), (((v90(VarCurr, 0) | (~v90(VarCurr, 1))) | (~v90(VarCurr, 2))) <=> ((v90(VarCurr, 0) | (~v90(VarCurr, 1))) | (~v90(VarCurr, 2))))), rewrite(((v90(VarCurr, 0) | (~v90(VarCurr, 1))) | (~v90(VarCurr, 2))) <=> (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)))), (((v90(VarCurr, 0) | (~v90(VarCurr, 1))) | (~v90(VarCurr, 2))) <=> (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2))))), ((((v90(VarCurr, 0) | (~v90(VarCurr, 1))) | (~v90(VarCurr, 2))) | v125(VarCurr)) <=> ((v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2))) | v125(VarCurr)))), rewrite(((v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2))) | v125(VarCurr)) <=> (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))), ((((v90(VarCurr, 0) | (~v90(VarCurr, 1))) | (~v90(VarCurr, 2))) | v125(VarCurr)) <=> (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))))),
% 53.46/33.64 inference(bind,[status(th)],[])).
% 53.46/33.64 tff(2274,plain,
% 53.46/33.64 (![VarCurr: state_type] : (((v90(VarCurr, 0) | (~v90(VarCurr, 1))) | (~v90(VarCurr, 2))) | v125(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))),
% 53.46/33.64 inference(quant_intro,[status(thm)],[2273])).
% 53.46/33.64 tff(2275,axiom,(![VarCurr: state_type] : (((v90(VarCurr, 0) | (~v90(VarCurr, 1))) | (~v90(VarCurr, 2))) | v125(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_8_1_1_1')).
% 53.46/33.64 tff(2276,plain,
% 53.46/33.64 (![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))),
% 53.46/33.64 inference(modus_ponens,[status(thm)],[2275, 2274])).
% 53.46/33.64 tff(2277,plain,
% 53.46/33.64 (![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))),
% 53.46/33.64 inference(modus_ponens,[status(thm)],[2276, 2272])).
% 53.46/33.64 tff(2278,plain,(
% 53.46/33.64 ![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))),
% 53.46/33.64 inference(skolemize,[status(sab)],[2277])).
% 53.46/33.64 tff(2279,plain,
% 53.46/33.64 (![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))),
% 53.46/33.64 inference(modus_ponens,[status(thm)],[2278, 2271])).
% 53.46/33.64 tff(2280,plain,
% 53.46/33.64 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB7, 0) | (~v90(constB7, 1)) | (~v90(constB7, 2)) | v125(constB7))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB7, 0) | (~v90(constB7, 1)) | (~v90(constB7, 2)) | v125(constB7))),
% 53.46/33.64 inference(rewrite,[status(thm)],[])).
% 53.46/33.64 tff(2281,plain,
% 53.46/33.64 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB7, 0) | (~v90(constB7, 1)) | (~v90(constB7, 2)) | v125(constB7))),
% 53.46/33.64 inference(quant_inst,[status(thm)],[])).
% 53.46/33.64 tff(2282,plain,
% 53.46/33.64 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB7, 0) | (~v90(constB7, 1)) | (~v90(constB7, 2)) | v125(constB7)),
% 53.46/33.64 inference(modus_ponens,[status(thm)],[2281, 2280])).
% 53.46/33.64 tff(2283,plain,
% 53.46/33.64 (v90(constB7, 0) | (~v90(constB7, 1)) | (~v90(constB7, 2))),
% 53.46/33.64 inference(unit_resolution,[status(thm)],[2282, 2279, 2269])).
% 53.46/33.64 tff(2284,plain,
% 53.46/33.64 (~v90(constB7, 1)),
% 53.46/33.64 inference(unit_resolution,[status(thm)],[2283, 2255, 2164])).
% 53.46/33.64 tff(2285,plain,
% 53.46/33.64 (^[VarCurr: state_type] : refl(((~v123(VarCurr)) | v115(VarCurr)) <=> ((~v123(VarCurr)) | v115(VarCurr)))),
% 53.46/33.64 inference(bind,[status(th)],[])).
% 53.46/33.64 tff(2286,plain,
% 53.46/33.64 (![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr)) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))),
% 53.46/33.64 inference(quant_intro,[status(thm)],[2285])).
% 53.46/33.64 tff(2287,plain,
% 53.46/33.64 (![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr)) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))),
% 53.46/33.64 inference(rewrite,[status(thm)],[])).
% 53.46/33.64 tff(2288,axiom,(![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_22_1_1')).
% 53.46/33.64 tff(2289,plain,
% 53.46/33.64 (![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))),
% 53.46/33.64 inference(modus_ponens,[status(thm)],[2288, 2287])).
% 53.46/33.64 tff(2290,plain,(
% 53.46/33.64 ![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))),
% 53.46/33.64 inference(skolemize,[status(sab)],[2289])).
% 53.46/33.64 tff(2291,plain,
% 53.46/33.64 (![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))),
% 53.46/33.64 inference(modus_ponens,[status(thm)],[2290, 2286])).
% 53.46/33.64 tff(2292,plain,
% 53.46/33.64 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB7) | (~v123(constB7)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB7) | (~v123(constB7)))),
% 53.46/33.64 inference(rewrite,[status(thm)],[])).
% 53.46/33.64 tff(2293,plain,
% 53.46/33.64 (((~v123(constB7)) | v115(constB7)) <=> (v115(constB7) | (~v123(constB7)))),
% 53.46/33.64 inference(rewrite,[status(thm)],[])).
% 53.46/33.64 tff(2294,plain,
% 53.46/33.64 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB7)) | v115(constB7))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB7) | (~v123(constB7))))),
% 53.46/33.64 inference(monotonicity,[status(thm)],[2293])).
% 53.46/33.64 tff(2295,plain,
% 53.46/33.64 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB7)) | v115(constB7))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB7) | (~v123(constB7)))),
% 53.46/33.64 inference(transitivity,[status(thm)],[2294, 2292])).
% 53.46/33.64 tff(2296,plain,
% 53.46/33.64 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB7)) | v115(constB7))),
% 53.46/33.64 inference(quant_inst,[status(thm)],[])).
% 53.46/33.64 tff(2297,plain,
% 53.46/33.64 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB7) | (~v123(constB7))),
% 53.46/33.64 inference(modus_ponens,[status(thm)],[2296, 2295])).
% 53.46/33.64 tff(2298,plain,
% 53.46/33.64 (~v123(constB7)),
% 53.46/33.64 inference(unit_resolution,[status(thm)],[2297, 2291, 2078])).
% 53.46/33.64 tff(2299,plain,
% 53.46/33.64 (^[VarCurr: state_type] : refl((v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr)) <=> (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr)))),
% 53.46/33.64 inference(bind,[status(th)],[])).
% 53.46/33.64 tff(2300,plain,
% 53.46/33.64 (![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))),
% 53.46/33.64 inference(quant_intro,[status(thm)],[2299])).
% 53.46/33.64 tff(2301,plain,
% 53.46/33.64 (![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))),
% 53.46/33.64 inference(rewrite,[status(thm)],[])).
% 53.46/33.64 tff(2302,plain,
% 53.46/33.64 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v90(VarCurr, 0) | v90(VarCurr, 1)) | (~v90(VarCurr, 2))) <=> (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))), ((((v90(VarCurr, 0) | v90(VarCurr, 1)) | (~v90(VarCurr, 2))) | v123(VarCurr)) <=> ((v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2))) | v123(VarCurr)))), rewrite(((v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2))) | v123(VarCurr)) <=> (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))), ((((v90(VarCurr, 0) | v90(VarCurr, 1)) | (~v90(VarCurr, 2))) | v123(VarCurr)) <=> (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))))),
% 53.46/33.64 inference(bind,[status(th)],[])).
% 53.46/33.64 tff(2303,plain,
% 53.46/33.64 (![VarCurr: state_type] : (((v90(VarCurr, 0) | v90(VarCurr, 1)) | (~v90(VarCurr, 2))) | v123(VarCurr)) <=> ![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))),
% 53.46/33.64 inference(quant_intro,[status(thm)],[2302])).
% 53.46/33.64 tff(2304,axiom,(![VarCurr: state_type] : (((v90(VarCurr, 0) | v90(VarCurr, 1)) | (~v90(VarCurr, 2))) | v123(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_6_1_1_1')).
% 53.46/33.64 tff(2305,plain,
% 53.46/33.64 (![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))),
% 53.46/33.64 inference(modus_ponens,[status(thm)],[2304, 2303])).
% 53.46/33.64 tff(2306,plain,
% 53.46/33.64 (![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))),
% 53.46/33.64 inference(modus_ponens,[status(thm)],[2305, 2301])).
% 53.46/33.64 tff(2307,plain,(
% 53.46/33.64 ![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))),
% 53.46/33.64 inference(skolemize,[status(sab)],[2306])).
% 53.46/33.64 tff(2308,plain,
% 53.46/33.64 (![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))),
% 53.46/33.64 inference(modus_ponens,[status(thm)],[2307, 2300])).
% 53.46/33.64 tff(2309,plain,
% 53.46/33.64 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB7, 0) | v90(constB7, 1) | (~v90(constB7, 2)) | v123(constB7))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB7, 0) | v90(constB7, 1) | (~v90(constB7, 2)) | v123(constB7))),
% 53.46/33.64 inference(rewrite,[status(thm)],[])).
% 53.46/33.64 tff(2310,plain,
% 53.46/33.64 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB7, 0) | v90(constB7, 1) | (~v90(constB7, 2)) | v123(constB7))),
% 53.46/33.64 inference(quant_inst,[status(thm)],[])).
% 53.46/33.64 tff(2311,plain,
% 53.46/33.64 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB7, 0) | v90(constB7, 1) | (~v90(constB7, 2)) | v123(constB7)),
% 53.46/33.64 inference(modus_ponens,[status(thm)],[2310, 2309])).
% 53.46/33.64 tff(2312,plain,
% 53.46/33.64 (v90(constB7, 0) | v90(constB7, 1) | (~v90(constB7, 2))),
% 53.46/33.64 inference(unit_resolution,[status(thm)],[2311, 2308, 2298])).
% 53.46/33.64 tff(2313,plain,
% 53.46/33.64 ($false),
% 53.46/33.64 inference(unit_resolution,[status(thm)],[2312, 2284, 2255, 2164])).
% 53.46/33.64 tff(2314,plain,(v100(constB8)), inference(lemma,lemma(discharge,[]))).
% 53.46/33.64 tff(2315,plain,
% 53.46/33.64 (^[VarNext: state_type] : refl((v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2))) <=> (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2))))),
% 53.46/33.64 inference(bind,[status(th)],[])).
% 53.46/33.64 tff(2316,plain,
% 53.46/33.64 (![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2))) <=> ![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))),
% 53.46/33.64 inference(quant_intro,[status(thm)],[2315])).
% 53.46/33.64 tff(2317,plain,
% 53.46/33.64 (![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2))) <=> ![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))),
% 53.46/33.64 inference(rewrite,[status(thm)],[])).
% 53.46/33.64 tff(2318,plain,
% 53.46/33.64 (^[VarNext: state_type] : rewrite((((~v100(VarNext)) | (~v129(VarNext, 2))) | v90(VarNext, 2)) <=> (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2))))),
% 53.46/33.64 inference(bind,[status(th)],[])).
% 53.46/33.64 tff(2319,plain,
% 53.46/33.64 (![VarNext: state_type] : (((~v100(VarNext)) | (~v129(VarNext, 2))) | v90(VarNext, 2)) <=> ![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))),
% 53.46/33.64 inference(quant_intro,[status(thm)],[2318])).
% 53.46/33.64 tff(2320,axiom,(![VarNext: state_type] : (((~v100(VarNext)) | (~v129(VarNext, 2))) | v90(VarNext, 2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_5')).
% 53.46/33.64 tff(2321,plain,
% 53.46/33.64 (![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))),
% 53.46/33.64 inference(modus_ponens,[status(thm)],[2320, 2319])).
% 53.46/33.64 tff(2322,plain,
% 53.46/33.64 (![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))),
% 53.46/33.64 inference(modus_ponens,[status(thm)],[2321, 2317])).
% 53.46/33.64 tff(2323,plain,(
% 53.46/33.64 ![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))),
% 53.46/33.64 inference(skolemize,[status(sab)],[2322])).
% 53.46/33.64 tff(2324,plain,
% 53.46/33.64 (![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))),
% 53.46/33.64 inference(modus_ponens,[status(thm)],[2323, 2316])).
% 53.46/33.64 tff(2325,plain,
% 53.46/33.64 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB8, 2) | (~v129(constB8, 2)) | (~v100(constB8)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB8, 2) | (~v129(constB8, 2)) | (~v100(constB8)))),
% 53.46/33.64 inference(rewrite,[status(thm)],[])).
% 53.46/33.64 tff(2326,plain,
% 53.46/33.64 ((v90(constB8, 2) | (~v100(constB8)) | (~v129(constB8, 2))) <=> (v90(constB8, 2) | (~v129(constB8, 2)) | (~v100(constB8)))),
% 53.46/33.64 inference(rewrite,[status(thm)],[])).
% 53.46/33.64 tff(2327,plain,
% 53.46/33.64 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB8, 2) | (~v100(constB8)) | (~v129(constB8, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB8, 2) | (~v129(constB8, 2)) | (~v100(constB8))))),
% 53.46/33.64 inference(monotonicity,[status(thm)],[2326])).
% 53.46/33.64 tff(2328,plain,
% 53.46/33.64 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB8, 2) | (~v100(constB8)) | (~v129(constB8, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB8, 2) | (~v129(constB8, 2)) | (~v100(constB8)))),
% 53.46/33.64 inference(transitivity,[status(thm)],[2327, 2325])).
% 53.46/33.64 tff(2329,plain,
% 53.46/33.64 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB8, 2) | (~v100(constB8)) | (~v129(constB8, 2)))),
% 53.46/33.64 inference(quant_inst,[status(thm)],[])).
% 53.46/33.64 tff(2330,plain,
% 53.46/33.64 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB8, 2) | (~v129(constB8, 2)) | (~v100(constB8))),
% 53.46/33.64 inference(modus_ponens,[status(thm)],[2329, 2328])).
% 53.46/33.64 tff(2331,plain,
% 53.46/33.64 (v90(constB8, 2) | (~v129(constB8, 2))),
% 53.46/33.64 inference(unit_resolution,[status(thm)],[2330, 2324, 2314])).
% 53.46/33.64 tff(2332,plain,
% 53.46/33.64 (v90(constB8, 2)),
% 53.46/33.64 inference(unit_resolution,[status(thm)],[2331, 2004])).
% 53.46/33.64 tff(2333,plain,
% 53.46/33.64 ((~v1(constB9)) <=> (~v1(constB9))),
% 53.46/33.64 inference(rewrite,[status(thm)],[])).
% 53.46/33.64 tff(2334,axiom,(~v1(constB9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_9_1_1')).
% 53.46/33.64 tff(2335,plain,
% 53.46/33.64 (~v1(constB9)),
% 53.46/33.64 inference(modus_ponens,[status(thm)],[2334, 2333])).
% 53.46/33.64 tff(2336,plain,
% 53.46/33.64 (nextState(constB8, constB9) <=> nextState(constB8, constB9)),
% 53.46/33.64 inference(rewrite,[status(thm)],[])).
% 53.46/33.64 tff(2337,axiom,(nextState(constB8, constB9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_8_1')).
% 53.46/33.64 tff(2338,plain,
% 53.46/33.64 (nextState(constB8, constB9)),
% 53.46/33.64 inference(modus_ponens,[status(thm)],[2337, 2336])).
% 53.46/33.64 tff(2339,plain,
% 53.46/33.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9)))),
% 53.46/33.64 inference(rewrite,[status(thm)],[])).
% 53.46/33.64 tff(2340,plain,
% 53.46/33.64 (((~nextState(constB8, constB9)) | (~v101(constB9)) | v1(constB9)) <=> (v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9)))),
% 53.46/33.64 inference(rewrite,[status(thm)],[])).
% 53.46/33.64 tff(2341,plain,
% 53.46/33.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB8, constB9)) | (~v101(constB9)) | v1(constB9))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9))))),
% 53.46/33.64 inference(monotonicity,[status(thm)],[2340])).
% 53.46/33.64 tff(2342,plain,
% 53.46/33.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB8, constB9)) | (~v101(constB9)) | v1(constB9))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9)))),
% 53.46/33.64 inference(transitivity,[status(thm)],[2341, 2339])).
% 53.46/33.64 tff(2343,plain,
% 53.46/33.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB8, constB9)) | (~v101(constB9)) | v1(constB9))),
% 53.46/33.64 inference(quant_inst,[status(thm)],[])).
% 53.46/33.64 tff(2344,plain,
% 53.46/33.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB9) | (~nextState(constB8, constB9)) | (~v101(constB9))),
% 53.46/33.64 inference(modus_ponens,[status(thm)],[2343, 2342])).
% 53.46/33.64 tff(2345,plain,
% 53.46/33.64 (~v101(constB9)),
% 53.46/33.64 inference(unit_resolution,[status(thm)],[2344, 873, 2338, 2335])).
% 53.46/33.64 tff(2346,plain,
% 53.46/33.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB8, constB9)) | v101(constB9) | (~v100(constB9)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB8, constB9)) | v101(constB9) | (~v100(constB9)))),
% 53.46/33.64 inference(rewrite,[status(thm)],[])).
% 53.46/33.64 tff(2347,plain,
% 53.46/33.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB8, constB9)) | v101(constB9) | (~v100(constB9)))),
% 53.46/33.64 inference(quant_inst,[status(thm)],[])).
% 53.46/33.64 tff(2348,plain,
% 53.46/33.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB8, constB9)) | v101(constB9) | (~v100(constB9))),
% 53.46/33.64 inference(modus_ponens,[status(thm)],[2347, 2346])).
% 53.46/33.64 tff(2349,plain,
% 53.46/33.64 (v101(constB9) | (~v100(constB9))),
% 53.46/33.64 inference(unit_resolution,[status(thm)],[2348, 890, 2338])).
% 53.46/33.64 tff(2350,plain,
% 53.46/33.64 (~v100(constB9)),
% 53.46/33.64 inference(unit_resolution,[status(thm)],[2349, 2345])).
% 53.46/33.64 tff(2351,plain,
% 53.46/33.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB8, 2)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB8, 2)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, 2))),
% 53.46/33.64 inference(rewrite,[status(thm)],[])).
% 53.46/33.64 tff(2352,plain,
% 53.46/33.64 (((~nextState(constB8, constB9)) | (~v90(constB8, 2)) | v100(constB9) | v90(constB9, 2)) <=> ((~v90(constB8, 2)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, 2))),
% 53.46/33.64 inference(rewrite,[status(thm)],[])).
% 53.46/33.64 tff(2353,plain,
% 53.46/33.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB8, constB9)) | (~v90(constB8, 2)) | v100(constB9) | v90(constB9, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB8, 2)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, 2)))),
% 53.46/33.64 inference(monotonicity,[status(thm)],[2352])).
% 53.46/33.64 tff(2354,plain,
% 53.46/33.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB8, constB9)) | (~v90(constB8, 2)) | v100(constB9) | v90(constB9, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB8, 2)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, 2))),
% 53.46/33.64 inference(transitivity,[status(thm)],[2353, 2351])).
% 53.46/33.64 tff(2355,plain,
% 53.46/33.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB8, constB9)) | (~v90(constB8, 2)) | v100(constB9) | v90(constB9, 2))),
% 53.46/33.64 inference(quant_inst,[status(thm)],[])).
% 53.46/33.64 tff(2356,plain,
% 53.46/33.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB8, 2)) | (~nextState(constB8, constB9)) | v100(constB9) | v90(constB9, 2)),
% 53.46/33.64 inference(modus_ponens,[status(thm)],[2355, 2354])).
% 53.46/33.64 tff(2357,plain,
% 53.46/33.64 ((~v90(constB8, 2)) | v100(constB9) | v90(constB9, 2)),
% 53.46/33.64 inference(unit_resolution,[status(thm)],[2356, 2174, 2338])).
% 53.46/33.64 tff(2358,plain,
% 53.46/33.64 ((~v90(constB8, 2)) | v90(constB9, 2)),
% 53.46/33.64 inference(unit_resolution,[status(thm)],[2357, 2350])).
% 53.46/33.64 tff(2359,plain,
% 53.46/33.64 (v90(constB9, 2)),
% 53.46/33.64 inference(unit_resolution,[status(thm)],[2358, 2332])).
% 53.46/33.64 tff(2360,plain,
% 53.46/33.64 (^[VarCurr: state_type] : refl(((~v122(VarCurr)) | (~v130(VarCurr, 1))) <=> ((~v122(VarCurr)) | (~v130(VarCurr, 1))))),
% 53.46/33.64 inference(bind,[status(th)],[])).
% 53.46/33.64 tff(2361,plain,
% 53.46/33.64 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))),
% 53.46/33.64 inference(quant_intro,[status(thm)],[2360])).
% 53.46/33.64 tff(2362,plain,
% 53.46/33.64 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))),
% 53.46/33.64 inference(rewrite,[status(thm)],[])).
% 53.46/33.64 tff(2363,axiom,(![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3_1_2')).
% 53.46/33.64 tff(2364,plain,
% 53.46/33.64 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))),
% 53.46/33.64 inference(modus_ponens,[status(thm)],[2363, 2362])).
% 53.46/33.64 tff(2365,plain,(
% 53.46/33.64 ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))),
% 53.46/33.64 inference(skolemize,[status(sab)],[2364])).
% 53.46/33.64 tff(2366,plain,
% 53.46/33.64 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))),
% 53.46/33.64 inference(modus_ponens,[status(thm)],[2365, 2361])).
% 53.46/33.64 tff(2367,plain,
% 53.46/33.64 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB7)) | (~v130(constB7, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB7)) | (~v130(constB7, 1)))),
% 53.46/33.64 inference(rewrite,[status(thm)],[])).
% 53.46/33.64 tff(2368,plain,
% 53.46/33.64 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB7)) | (~v130(constB7, 1)))),
% 53.46/33.64 inference(quant_inst,[status(thm)],[])).
% 53.46/33.64 tff(2369,plain,
% 53.46/33.64 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB7)) | (~v130(constB7, 1))),
% 53.46/33.64 inference(modus_ponens,[status(thm)],[2368, 2367])).
% 53.46/33.64 tff(2370,plain,
% 53.46/33.64 (~v130(constB7, 1)),
% 53.46/33.64 inference(unit_resolution,[status(thm)],[2369, 2366, 1960])).
% 53.46/33.64 tff(2371,plain,
% 53.46/33.64 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB7, 1)) | v26(constB7) | v130(constB7, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB7, 1)) | v26(constB7) | v130(constB7, 1))),
% 53.46/33.64 inference(rewrite,[status(thm)],[])).
% 53.46/33.64 tff(2372,plain,
% 53.46/33.64 ((v26(constB7) | v130(constB7, 1) | (~v127(constB7, 1))) <=> ((~v127(constB7, 1)) | v26(constB7) | v130(constB7, 1))),
% 53.46/33.64 inference(rewrite,[status(thm)],[])).
% 53.46/33.64 tff(2373,plain,
% 53.46/33.64 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB7) | v130(constB7, 1) | (~v127(constB7, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB7, 1)) | v26(constB7) | v130(constB7, 1)))),
% 53.46/33.64 inference(monotonicity,[status(thm)],[2372])).
% 53.46/33.64 tff(2374,plain,
% 53.46/33.64 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB7) | v130(constB7, 1) | (~v127(constB7, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB7, 1)) | v26(constB7) | v130(constB7, 1))),
% 53.46/33.64 inference(transitivity,[status(thm)],[2373, 2371])).
% 53.46/33.64 tff(2375,plain,
% 53.46/33.64 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB7) | v130(constB7, 1) | (~v127(constB7, 1)))),
% 53.46/33.64 inference(quant_inst,[status(thm)],[])).
% 53.46/33.64 tff(2376,plain,
% 53.46/33.64 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB7, 1)) | v26(constB7) | v130(constB7, 1)),
% 53.46/33.64 inference(modus_ponens,[status(thm)],[2375, 2374])).
% 53.46/33.64 tff(2377,plain,
% 53.46/33.64 ((~v127(constB7, 1)) | v26(constB7)),
% 53.46/33.64 inference(unit_resolution,[status(thm)],[2376, 1276, 2370])).
% 53.46/33.64 tff(2378,plain,
% 53.46/33.64 (~v127(constB7, 1)),
% 53.46/33.64 inference(unit_resolution,[status(thm)],[2377, 845])).
% 53.46/33.64 tff(2379,plain,
% 53.46/33.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB7, constB8)) | v127(constB7, 1) | (~v129(constB8, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB7, constB8)) | v127(constB7, 1) | (~v129(constB8, 1)))),
% 53.46/33.64 inference(rewrite,[status(thm)],[])).
% 53.46/33.64 tff(2380,plain,
% 53.46/33.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB7, constB8)) | v127(constB7, 1) | (~v129(constB8, 1)))),
% 53.46/33.64 inference(quant_inst,[status(thm)],[])).
% 53.46/33.64 tff(2381,plain,
% 53.46/33.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB7, constB8)) | v127(constB7, 1) | (~v129(constB8, 1))),
% 53.46/33.64 inference(modus_ponens,[status(thm)],[2380, 2379])).
% 53.46/33.64 tff(2382,plain,
% 53.46/33.64 (v127(constB7, 1) | (~v129(constB8, 1))),
% 53.46/33.64 inference(unit_resolution,[status(thm)],[2381, 1294, 1989])).
% 53.46/33.64 tff(2383,plain,
% 53.46/33.64 (~v129(constB8, 1)),
% 53.46/33.64 inference(unit_resolution,[status(thm)],[2382, 2378])).
% 53.46/33.64 tff(2384,plain,
% 53.46/33.64 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB8, 1)) | v129(constB8, 1) | (~v100(constB8)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB8, 1)) | v129(constB8, 1) | (~v100(constB8)))),
% 53.46/33.64 inference(rewrite,[status(thm)],[])).
% 53.46/33.64 tff(2385,plain,
% 53.46/33.64 (((~v90(constB8, 1)) | (~v100(constB8)) | v129(constB8, 1)) <=> ((~v90(constB8, 1)) | v129(constB8, 1) | (~v100(constB8)))),
% 53.46/33.64 inference(rewrite,[status(thm)],[])).
% 53.46/33.64 tff(2386,plain,
% 53.46/33.64 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB8, 1)) | (~v100(constB8)) | v129(constB8, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB8, 1)) | v129(constB8, 1) | (~v100(constB8))))),
% 53.46/33.64 inference(monotonicity,[status(thm)],[2385])).
% 53.46/33.64 tff(2387,plain,
% 53.46/33.64 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB8, 1)) | (~v100(constB8)) | v129(constB8, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB8, 1)) | v129(constB8, 1) | (~v100(constB8)))),
% 53.46/33.64 inference(transitivity,[status(thm)],[2386, 2384])).
% 53.46/33.64 tff(2388,plain,
% 53.46/33.64 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB8, 1)) | (~v100(constB8)) | v129(constB8, 1))),
% 53.46/33.64 inference(quant_inst,[status(thm)],[])).
% 53.46/33.64 tff(2389,plain,
% 53.46/33.64 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB8, 1)) | v129(constB8, 1) | (~v100(constB8))),
% 53.46/33.64 inference(modus_ponens,[status(thm)],[2388, 2387])).
% 53.46/33.64 tff(2390,plain,
% 53.46/33.64 ((~v90(constB8, 1)) | v129(constB8, 1)),
% 53.46/33.64 inference(unit_resolution,[status(thm)],[2389, 1309, 2314])).
% 53.46/33.64 tff(2391,plain,
% 53.46/33.64 (~v90(constB8, 1)),
% 53.46/33.64 inference(unit_resolution,[status(thm)],[2390, 2383])).
% 53.46/33.64 tff(2392,plain,
% 53.46/33.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB8, 1) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB8, 1) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, 1)))),
% 53.46/33.64 inference(rewrite,[status(thm)],[])).
% 53.46/33.64 tff(2393,plain,
% 53.46/33.64 (((~nextState(constB8, constB9)) | v90(constB8, 1) | v100(constB9) | (~v90(constB9, 1))) <=> (v90(constB8, 1) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, 1)))),
% 53.46/33.64 inference(rewrite,[status(thm)],[])).
% 53.46/33.64 tff(2394,plain,
% 53.46/33.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB8, constB9)) | v90(constB8, 1) | v100(constB9) | (~v90(constB9, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB8, 1) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, 1))))),
% 53.46/33.64 inference(monotonicity,[status(thm)],[2393])).
% 53.46/33.64 tff(2395,plain,
% 53.46/33.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB8, constB9)) | v90(constB8, 1) | v100(constB9) | (~v90(constB9, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB8, 1) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, 1)))),
% 53.46/33.64 inference(transitivity,[status(thm)],[2394, 2392])).
% 53.46/33.64 tff(2396,plain,
% 53.46/33.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB8, constB9)) | v90(constB8, 1) | v100(constB9) | (~v90(constB9, 1)))),
% 53.46/33.64 inference(quant_inst,[status(thm)],[])).
% 53.46/33.64 tff(2397,plain,
% 53.46/33.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB8, 1) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, 1))),
% 53.46/33.64 inference(modus_ponens,[status(thm)],[2396, 2395])).
% 53.46/33.64 tff(2398,plain,
% 53.46/33.64 (v90(constB8, 1) | v100(constB9) | (~v90(constB9, 1))),
% 53.46/33.64 inference(unit_resolution,[status(thm)],[2397, 926, 2338])).
% 53.46/33.64 tff(2399,plain,
% 53.46/33.64 (v90(constB8, 1) | (~v90(constB9, 1))),
% 53.46/33.64 inference(unit_resolution,[status(thm)],[2398, 2350])).
% 53.46/33.64 tff(2400,plain,
% 53.46/33.64 (~v90(constB9, 1)),
% 53.46/33.64 inference(unit_resolution,[status(thm)],[2399, 2391])).
% 53.46/33.64 tff(2401,plain,
% 53.46/33.64 (^[VarCurr: state_type] : refl(((~v122(VarCurr)) | (~v130(VarCurr, 0))) <=> ((~v122(VarCurr)) | (~v130(VarCurr, 0))))),
% 53.46/33.64 inference(bind,[status(th)],[])).
% 53.46/33.64 tff(2402,plain,
% 53.46/33.64 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))),
% 53.46/33.64 inference(quant_intro,[status(thm)],[2401])).
% 53.46/33.64 tff(2403,plain,
% 53.46/33.64 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))),
% 53.46/33.64 inference(rewrite,[status(thm)],[])).
% 53.46/33.64 tff(2404,axiom,(![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3_1_1')).
% 53.46/33.64 tff(2405,plain,
% 53.46/33.64 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))),
% 53.46/33.64 inference(modus_ponens,[status(thm)],[2404, 2403])).
% 53.46/33.64 tff(2406,plain,(
% 53.46/33.64 ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))),
% 53.46/33.64 inference(skolemize,[status(sab)],[2405])).
% 53.46/33.64 tff(2407,plain,
% 53.46/33.64 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))),
% 53.46/33.64 inference(modus_ponens,[status(thm)],[2406, 2402])).
% 53.46/33.64 tff(2408,plain,
% 53.46/33.64 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB7)) | (~v130(constB7, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB7)) | (~v130(constB7, 0)))),
% 53.46/33.64 inference(rewrite,[status(thm)],[])).
% 53.46/33.64 tff(2409,plain,
% 53.46/33.64 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB7)) | (~v130(constB7, 0)))),
% 53.46/33.64 inference(quant_inst,[status(thm)],[])).
% 53.46/33.64 tff(2410,plain,
% 53.46/33.64 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB7)) | (~v130(constB7, 0))),
% 53.46/33.64 inference(modus_ponens,[status(thm)],[2409, 2408])).
% 53.46/33.64 tff(2411,plain,
% 53.46/33.64 (~v130(constB7, 0)),
% 53.46/33.64 inference(unit_resolution,[status(thm)],[2410, 2407, 1960])).
% 53.46/33.64 tff(2412,plain,
% 53.46/33.64 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB7, 0)) | v26(constB7) | v130(constB7, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB7, 0)) | v26(constB7) | v130(constB7, 0))),
% 53.46/33.64 inference(rewrite,[status(thm)],[])).
% 53.46/33.64 tff(2413,plain,
% 53.46/33.64 ((v26(constB7) | v130(constB7, 0) | (~v127(constB7, 0))) <=> ((~v127(constB7, 0)) | v26(constB7) | v130(constB7, 0))),
% 53.46/33.64 inference(rewrite,[status(thm)],[])).
% 53.46/33.64 tff(2414,plain,
% 53.46/33.64 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB7) | v130(constB7, 0) | (~v127(constB7, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB7, 0)) | v26(constB7) | v130(constB7, 0)))),
% 53.46/33.64 inference(monotonicity,[status(thm)],[2413])).
% 53.46/33.64 tff(2415,plain,
% 53.46/33.64 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB7) | v130(constB7, 0) | (~v127(constB7, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB7, 0)) | v26(constB7) | v130(constB7, 0))),
% 53.46/33.64 inference(transitivity,[status(thm)],[2414, 2412])).
% 53.46/33.64 tff(2416,plain,
% 53.46/33.64 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB7) | v130(constB7, 0) | (~v127(constB7, 0)))),
% 53.46/33.64 inference(quant_inst,[status(thm)],[])).
% 53.46/33.64 tff(2417,plain,
% 53.46/33.64 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB7, 0)) | v26(constB7) | v130(constB7, 0)),
% 53.46/33.64 inference(modus_ponens,[status(thm)],[2416, 2415])).
% 53.46/33.64 tff(2418,plain,
% 53.46/33.64 ((~v127(constB7, 0)) | v26(constB7)),
% 53.46/33.64 inference(unit_resolution,[status(thm)],[2417, 1671, 2411])).
% 53.46/33.64 tff(2419,plain,
% 53.46/33.64 (~v127(constB7, 0)),
% 53.46/33.64 inference(unit_resolution,[status(thm)],[2418, 845])).
% 53.46/33.64 tff(2420,plain,
% 53.46/33.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB7, constB8)) | v127(constB7, 0) | (~v129(constB8, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB7, constB8)) | v127(constB7, 0) | (~v129(constB8, 0)))),
% 53.46/33.64 inference(rewrite,[status(thm)],[])).
% 53.46/33.64 tff(2421,plain,
% 53.46/33.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB7, constB8)) | v127(constB7, 0) | (~v129(constB8, 0)))),
% 53.46/33.64 inference(quant_inst,[status(thm)],[])).
% 53.46/33.64 tff(2422,plain,
% 53.46/33.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB7, constB8)) | v127(constB7, 0) | (~v129(constB8, 0))),
% 53.46/33.64 inference(modus_ponens,[status(thm)],[2421, 2420])).
% 53.46/33.64 tff(2423,plain,
% 53.46/33.64 (v127(constB7, 0) | (~v129(constB8, 0))),
% 53.46/33.64 inference(unit_resolution,[status(thm)],[2422, 1689, 1989])).
% 53.46/33.64 tff(2424,plain,
% 53.46/33.64 (~v129(constB8, 0)),
% 53.46/33.64 inference(unit_resolution,[status(thm)],[2423, 2419])).
% 53.46/33.64 tff(2425,plain,
% 53.46/33.64 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB8, 0)) | v129(constB8, 0) | (~v100(constB8)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB8, 0)) | v129(constB8, 0) | (~v100(constB8)))),
% 53.46/33.64 inference(rewrite,[status(thm)],[])).
% 53.46/33.64 tff(2426,plain,
% 53.46/33.64 (((~v90(constB8, 0)) | (~v100(constB8)) | v129(constB8, 0)) <=> ((~v90(constB8, 0)) | v129(constB8, 0) | (~v100(constB8)))),
% 53.46/33.64 inference(rewrite,[status(thm)],[])).
% 53.46/33.64 tff(2427,plain,
% 53.46/33.64 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB8, 0)) | (~v100(constB8)) | v129(constB8, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB8, 0)) | v129(constB8, 0) | (~v100(constB8))))),
% 53.46/33.64 inference(monotonicity,[status(thm)],[2426])).
% 53.46/33.64 tff(2428,plain,
% 53.46/33.64 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB8, 0)) | (~v100(constB8)) | v129(constB8, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB8, 0)) | v129(constB8, 0) | (~v100(constB8)))),
% 53.46/33.64 inference(transitivity,[status(thm)],[2427, 2425])).
% 53.46/33.64 tff(2429,plain,
% 53.46/33.64 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB8, 0)) | (~v100(constB8)) | v129(constB8, 0))),
% 53.46/33.64 inference(quant_inst,[status(thm)],[])).
% 53.46/33.64 tff(2430,plain,
% 53.46/33.64 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB8, 0)) | v129(constB8, 0) | (~v100(constB8))),
% 53.46/33.64 inference(modus_ponens,[status(thm)],[2429, 2428])).
% 53.46/33.64 tff(2431,plain,
% 53.46/33.64 ((~v90(constB8, 0)) | v129(constB8, 0)),
% 53.46/33.64 inference(unit_resolution,[status(thm)],[2430, 1704, 2314])).
% 53.46/33.64 tff(2432,plain,
% 53.46/33.64 (~v90(constB8, 0)),
% 53.46/33.64 inference(unit_resolution,[status(thm)],[2431, 2424])).
% 53.46/33.64 tff(2433,plain,
% 53.46/33.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB8, 0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB8, 0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, 0)))),
% 53.46/33.64 inference(rewrite,[status(thm)],[])).
% 53.46/33.64 tff(2434,plain,
% 53.46/33.64 (((~nextState(constB8, constB9)) | v90(constB8, 0) | v100(constB9) | (~v90(constB9, 0))) <=> (v90(constB8, 0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, 0)))),
% 53.46/33.64 inference(rewrite,[status(thm)],[])).
% 53.46/33.64 tff(2435,plain,
% 53.46/33.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB8, constB9)) | v90(constB8, 0) | v100(constB9) | (~v90(constB9, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB8, 0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, 0))))),
% 53.46/33.64 inference(monotonicity,[status(thm)],[2434])).
% 53.46/33.64 tff(2436,plain,
% 53.46/33.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB8, constB9)) | v90(constB8, 0) | v100(constB9) | (~v90(constB9, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB8, 0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, 0)))),
% 53.46/33.64 inference(transitivity,[status(thm)],[2435, 2433])).
% 53.46/33.64 tff(2437,plain,
% 53.46/33.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB8, constB9)) | v90(constB8, 0) | v100(constB9) | (~v90(constB9, 0)))),
% 53.46/33.64 inference(quant_inst,[status(thm)],[])).
% 53.46/33.64 tff(2438,plain,
% 53.46/33.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB8, 0) | (~nextState(constB8, constB9)) | v100(constB9) | (~v90(constB9, 0))),
% 53.46/33.64 inference(modus_ponens,[status(thm)],[2437, 2436])).
% 53.46/33.64 tff(2439,plain,
% 53.46/33.64 (v90(constB8, 0) | v100(constB9) | (~v90(constB9, 0))),
% 53.46/33.64 inference(unit_resolution,[status(thm)],[2438, 947, 2338])).
% 53.46/33.64 tff(2440,plain,
% 53.46/33.64 (v90(constB8, 0) | (~v90(constB9, 0))),
% 53.46/33.64 inference(unit_resolution,[status(thm)],[2439, 2350])).
% 53.46/33.64 tff(2441,plain,
% 53.46/33.64 (~v90(constB9, 0)),
% 53.46/33.64 inference(unit_resolution,[status(thm)],[2440, 2432])).
% 53.46/33.64 tff(2442,plain,
% 53.46/33.64 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB9, 0) | v90(constB9, 1) | (~v90(constB9, 2)) | v123(constB9))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB9, 0) | v90(constB9, 1) | (~v90(constB9, 2)) | v123(constB9))),
% 53.46/33.65 inference(rewrite,[status(thm)],[])).
% 53.46/33.65 tff(2443,plain,
% 53.46/33.65 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB9, 0) | v90(constB9, 1) | (~v90(constB9, 2)) | v123(constB9))),
% 53.46/33.65 inference(quant_inst,[status(thm)],[])).
% 53.46/33.65 tff(2444,plain,
% 53.46/33.65 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB9, 0) | v90(constB9, 1) | (~v90(constB9, 2)) | v123(constB9)),
% 53.46/33.65 inference(modus_ponens,[status(thm)],[2443, 2442])).
% 53.46/33.65 tff(2445,plain,
% 53.46/33.65 (v123(constB9)),
% 53.46/33.65 inference(unit_resolution,[status(thm)],[2444, 2308, 2441, 2400, 2359])).
% 53.46/33.65 tff(2446,plain,
% 53.46/33.65 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB9) | (~v123(constB9)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB9) | (~v123(constB9)))),
% 53.46/33.65 inference(rewrite,[status(thm)],[])).
% 53.46/33.65 tff(2447,plain,
% 53.46/33.65 (((~v123(constB9)) | v115(constB9)) <=> (v115(constB9) | (~v123(constB9)))),
% 53.46/33.65 inference(rewrite,[status(thm)],[])).
% 53.46/33.65 tff(2448,plain,
% 53.46/33.65 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB9)) | v115(constB9))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB9) | (~v123(constB9))))),
% 53.46/33.65 inference(monotonicity,[status(thm)],[2447])).
% 53.46/33.65 tff(2449,plain,
% 53.46/33.65 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB9)) | v115(constB9))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB9) | (~v123(constB9)))),
% 53.46/33.65 inference(transitivity,[status(thm)],[2448, 2446])).
% 53.46/33.65 tff(2450,plain,
% 53.46/33.65 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB9)) | v115(constB9))),
% 53.46/33.65 inference(quant_inst,[status(thm)],[])).
% 53.46/33.65 tff(2451,plain,
% 53.46/33.65 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB9) | (~v123(constB9))),
% 53.46/33.65 inference(modus_ponens,[status(thm)],[2450, 2449])).
% 53.46/33.65 tff(2452,plain,
% 53.46/33.65 (v115(constB9)),
% 53.46/33.65 inference(unit_resolution,[status(thm)],[2451, 2291, 2445])).
% 53.46/33.65 tff(2453,plain,
% 53.46/33.65 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB9) | (~v115(constB9)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB9) | (~v115(constB9)))),
% 53.46/33.65 inference(rewrite,[status(thm)],[])).
% 53.46/33.65 tff(2454,plain,
% 53.46/33.65 (((~v115(constB9)) | v114(constB9)) <=> (v114(constB9) | (~v115(constB9)))),
% 53.46/33.65 inference(rewrite,[status(thm)],[])).
% 53.46/33.65 tff(2455,plain,
% 53.46/33.65 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB9)) | v114(constB9))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB9) | (~v115(constB9))))),
% 53.46/33.65 inference(monotonicity,[status(thm)],[2454])).
% 53.46/33.65 tff(2456,plain,
% 53.46/33.65 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB9)) | v114(constB9))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB9) | (~v115(constB9)))),
% 53.46/33.65 inference(transitivity,[status(thm)],[2455, 2453])).
% 53.46/33.65 tff(2457,plain,
% 53.46/33.65 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB9)) | v114(constB9))),
% 53.46/33.65 inference(quant_inst,[status(thm)],[])).
% 53.46/33.65 tff(2458,plain,
% 53.46/33.65 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB9) | (~v115(constB9))),
% 53.46/33.65 inference(modus_ponens,[status(thm)],[2457, 2456])).
% 53.46/33.65 tff(2459,plain,
% 53.46/33.65 (v114(constB9)),
% 53.46/33.65 inference(unit_resolution,[status(thm)],[2458, 1035, 2452])).
% 53.46/33.65 tff(2460,plain,
% 53.46/33.65 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB9) | (~v114(constB9)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB9) | (~v114(constB9)))),
% 53.46/33.65 inference(rewrite,[status(thm)],[])).
% 53.46/33.65 tff(2461,plain,
% 53.46/33.65 (((~v114(constB9)) | v113(constB9)) <=> (v113(constB9) | (~v114(constB9)))),
% 53.46/33.65 inference(rewrite,[status(thm)],[])).
% 53.46/33.65 tff(2462,plain,
% 53.46/33.65 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB9)) | v113(constB9))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB9) | (~v114(constB9))))),
% 53.46/33.65 inference(monotonicity,[status(thm)],[2461])).
% 53.46/33.65 tff(2463,plain,
% 53.46/33.65 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB9)) | v113(constB9))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB9) | (~v114(constB9)))),
% 53.46/33.65 inference(transitivity,[status(thm)],[2462, 2460])).
% 53.46/33.65 tff(2464,plain,
% 53.46/33.65 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB9)) | v113(constB9))),
% 53.46/33.65 inference(quant_inst,[status(thm)],[])).
% 53.46/33.65 tff(2465,plain,
% 53.46/33.65 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB9) | (~v114(constB9))),
% 53.46/33.65 inference(modus_ponens,[status(thm)],[2464, 2463])).
% 53.46/33.65 tff(2466,plain,
% 53.46/33.65 (v113(constB9)),
% 53.46/33.65 inference(unit_resolution,[status(thm)],[2465, 1049, 2459])).
% 53.46/33.65 tff(2467,plain,
% 53.46/33.65 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB9) | v112(constB9) | (~v113(constB9)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB9) | v112(constB9) | (~v113(constB9)))),
% 53.46/33.65 inference(rewrite,[status(thm)],[])).
% 53.46/33.65 tff(2468,plain,
% 53.46/33.65 ((v26(constB9) | (~v113(constB9)) | v112(constB9)) <=> (v26(constB9) | v112(constB9) | (~v113(constB9)))),
% 53.46/33.65 inference(rewrite,[status(thm)],[])).
% 53.46/33.65 tff(2469,plain,
% 53.46/33.65 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB9) | (~v113(constB9)) | v112(constB9))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB9) | v112(constB9) | (~v113(constB9))))),
% 53.46/33.65 inference(monotonicity,[status(thm)],[2468])).
% 53.46/33.65 tff(2470,plain,
% 53.46/33.65 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB9) | (~v113(constB9)) | v112(constB9))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB9) | v112(constB9) | (~v113(constB9)))),
% 53.46/33.65 inference(transitivity,[status(thm)],[2469, 2467])).
% 53.46/33.65 tff(2471,plain,
% 53.46/33.65 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB9) | (~v113(constB9)) | v112(constB9))),
% 53.46/33.65 inference(quant_inst,[status(thm)],[])).
% 53.46/33.65 tff(2472,plain,
% 53.46/33.65 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB9) | v112(constB9) | (~v113(constB9))),
% 53.46/33.65 inference(modus_ponens,[status(thm)],[2471, 2470])).
% 53.46/33.65 tff(2473,plain,
% 53.46/33.65 (v26(constB9) | v112(constB9)),
% 53.46/33.65 inference(unit_resolution,[status(thm)],[2472, 1063, 2466])).
% 53.46/33.65 tff(2474,plain,
% 53.46/33.65 (v112(constB9)),
% 53.46/33.65 inference(unit_resolution,[status(thm)],[2473, 841])).
% 53.46/33.65 tff(2475,plain,
% 53.46/33.65 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB9) | (~v112(constB9)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB9) | (~v112(constB9)))),
% 53.46/33.65 inference(rewrite,[status(thm)],[])).
% 53.46/33.65 tff(2476,plain,
% 53.46/33.65 (((~v112(constB9)) | v108(constB9)) <=> (v108(constB9) | (~v112(constB9)))),
% 53.46/33.65 inference(rewrite,[status(thm)],[])).
% 53.46/33.65 tff(2477,plain,
% 53.46/33.65 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB9)) | v108(constB9))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB9) | (~v112(constB9))))),
% 53.46/33.65 inference(monotonicity,[status(thm)],[2476])).
% 53.46/33.65 tff(2478,plain,
% 53.46/33.65 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB9)) | v108(constB9))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB9) | (~v112(constB9)))),
% 53.46/33.65 inference(transitivity,[status(thm)],[2477, 2475])).
% 53.46/33.65 tff(2479,plain,
% 53.46/33.65 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB9)) | v108(constB9))),
% 53.46/33.65 inference(quant_inst,[status(thm)],[])).
% 53.46/33.65 tff(2480,plain,
% 53.46/33.65 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB9) | (~v112(constB9))),
% 53.46/33.65 inference(modus_ponens,[status(thm)],[2479, 2478])).
% 53.46/33.65 tff(2481,plain,
% 53.46/33.65 (v108(constB9)),
% 53.46/33.65 inference(unit_resolution,[status(thm)],[2480, 1075, 2474])).
% 53.46/33.65 tff(2482,plain,
% 53.46/33.65 (nextState(constB9, constB10) <=> nextState(constB9, constB10)),
% 53.46/33.65 inference(rewrite,[status(thm)],[])).
% 53.46/33.65 tff(2483,axiom,(nextState(constB9, constB10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_9_1')).
% 53.46/33.65 tff(2484,plain,
% 53.46/33.65 (nextState(constB9, constB10)),
% 53.46/33.65 inference(modus_ponens,[status(thm)],[2483, 2482])).
% 53.46/33.65 tff(2485,plain,
% 53.46/33.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9)))),
% 53.46/33.65 inference(rewrite,[status(thm)],[])).
% 53.46/33.65 tff(2486,plain,
% 53.46/33.65 (((~nextState(constB9, constB10)) | (~v108(constB9)) | v110(constB10)) <=> ((~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9)))),
% 53.46/33.65 inference(rewrite,[status(thm)],[])).
% 53.46/33.65 tff(2487,plain,
% 53.46/33.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB9, constB10)) | (~v108(constB9)) | v110(constB10))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9))))),
% 53.46/33.65 inference(monotonicity,[status(thm)],[2486])).
% 53.46/33.65 tff(2488,plain,
% 53.46/33.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB9, constB10)) | (~v108(constB9)) | v110(constB10))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9)))),
% 53.46/33.65 inference(transitivity,[status(thm)],[2487, 2485])).
% 53.46/33.65 tff(2489,plain,
% 53.46/33.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB9, constB10)) | (~v108(constB9)) | v110(constB10))),
% 53.46/33.65 inference(quant_inst,[status(thm)],[])).
% 53.46/33.65 tff(2490,plain,
% 53.46/33.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB9, constB10)) | v110(constB10) | (~v108(constB9))),
% 53.46/33.65 inference(modus_ponens,[status(thm)],[2489, 2488])).
% 53.46/33.65 tff(2491,plain,
% 53.46/33.65 (v110(constB10) | (~v108(constB9))),
% 53.46/33.65 inference(unit_resolution,[status(thm)],[2490, 1095, 2484])).
% 53.46/33.65 tff(2492,plain,
% 53.46/33.65 (v110(constB10)),
% 53.46/33.65 inference(unit_resolution,[status(thm)],[2491, 2481])).
% 53.46/33.65 tff(2493,plain,
% 53.46/33.65 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB9) | (~nextState(constB9, constB10)) | (~v104(constB10)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB9) | (~nextState(constB9, constB10)) | (~v104(constB10)))),
% 53.46/33.65 inference(rewrite,[status(thm)],[])).
% 53.46/33.65 tff(2494,plain,
% 53.46/33.65 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB9) | (~nextState(constB9, constB10)) | (~v104(constB10)))),
% 53.46/33.65 inference(quant_inst,[status(thm)],[])).
% 53.46/33.65 tff(2495,plain,
% 53.46/33.65 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB9) | (~nextState(constB9, constB10)) | (~v104(constB10))),
% 53.46/33.65 inference(modus_ponens,[status(thm)],[2494, 2493])).
% 53.46/33.65 tff(2496,plain,
% 53.46/33.65 (~v104(constB10)),
% 53.46/33.65 inference(unit_resolution,[status(thm)],[2495, 1113, 2484, 2335])).
% 53.46/33.65 tff(2497,plain,
% 53.46/33.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB9, constB10)) | v102(constB10) | v104(constB10))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB9, constB10)) | v102(constB10) | v104(constB10))),
% 53.46/33.65 inference(rewrite,[status(thm)],[])).
% 53.46/33.65 tff(2498,plain,
% 53.46/33.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB9, constB10)) | v102(constB10) | v104(constB10))),
% 53.46/33.65 inference(quant_inst,[status(thm)],[])).
% 53.46/33.65 tff(2499,plain,
% 53.46/33.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB9, constB10)) | v102(constB10) | v104(constB10)),
% 53.46/33.65 inference(modus_ponens,[status(thm)],[2498, 2497])).
% 53.46/33.65 tff(2500,plain,
% 53.46/33.65 (v102(constB10) | v104(constB10)),
% 53.46/33.65 inference(unit_resolution,[status(thm)],[2499, 1127, 2484])).
% 53.46/33.65 tff(2501,plain,
% 53.46/33.65 (v102(constB10)),
% 53.46/33.65 inference(unit_resolution,[status(thm)],[2500, 2496])).
% 53.46/33.65 tff(2502,plain,
% 53.46/33.65 (v1(constB10) <=> v1(constB10)),
% 53.46/33.65 inference(rewrite,[status(thm)],[])).
% 53.46/33.65 tff(2503,axiom,(v1(constB10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_10_1')).
% 53.46/33.65 tff(2504,plain,
% 53.46/33.65 (v1(constB10)),
% 53.46/33.65 inference(modus_ponens,[status(thm)],[2503, 2502])).
% 53.46/33.65 tff(2505,plain,
% 53.46/33.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB9, constB10)) | v101(constB10) | (~v102(constB10)) | (~v1(constB10)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB9, constB10)) | v101(constB10) | (~v102(constB10)) | (~v1(constB10)))),
% 53.46/33.65 inference(rewrite,[status(thm)],[])).
% 53.46/33.65 tff(2506,plain,
% 53.46/33.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB9, constB10)) | v101(constB10) | (~v102(constB10)) | (~v1(constB10)))),
% 53.46/33.65 inference(quant_inst,[status(thm)],[])).
% 53.46/33.65 tff(2507,plain,
% 53.46/33.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB9, constB10)) | v101(constB10) | (~v102(constB10)) | (~v1(constB10))),
% 53.46/33.65 inference(modus_ponens,[status(thm)],[2506, 2505])).
% 53.46/33.65 tff(2508,plain,
% 53.46/33.65 (v101(constB10) | (~v102(constB10))),
% 53.46/33.65 inference(unit_resolution,[status(thm)],[2507, 1145, 2484, 2504])).
% 53.46/33.65 tff(2509,plain,
% 53.46/33.65 (v101(constB10)),
% 53.46/33.65 inference(unit_resolution,[status(thm)],[2508, 2501])).
% 53.46/33.65 tff(2510,plain,
% 53.46/33.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10)))),
% 53.46/33.65 inference(rewrite,[status(thm)],[])).
% 53.46/33.65 tff(2511,plain,
% 53.46/33.65 (((~nextState(constB9, constB10)) | (~v101(constB10)) | (~v110(constB10)) | v100(constB10)) <=> ((~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10)))),
% 53.46/33.65 inference(rewrite,[status(thm)],[])).
% 53.46/33.65 tff(2512,plain,
% 53.46/33.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB9, constB10)) | (~v101(constB10)) | (~v110(constB10)) | v100(constB10))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10))))),
% 53.46/33.65 inference(monotonicity,[status(thm)],[2511])).
% 53.46/33.65 tff(2513,plain,
% 53.46/33.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB9, constB10)) | (~v101(constB10)) | (~v110(constB10)) | v100(constB10))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10)))),
% 53.46/33.65 inference(transitivity,[status(thm)],[2512, 2510])).
% 53.46/33.65 tff(2514,plain,
% 53.46/33.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB9, constB10)) | (~v101(constB10)) | (~v110(constB10)) | v100(constB10))),
% 53.46/33.65 inference(quant_inst,[status(thm)],[])).
% 53.46/33.65 tff(2515,plain,
% 53.46/33.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB9, constB10)) | v100(constB10) | (~v101(constB10)) | (~v110(constB10))),
% 53.46/33.65 inference(modus_ponens,[status(thm)],[2514, 2513])).
% 53.46/33.65 tff(2516,plain,
% 53.46/33.65 (v100(constB10) | (~v101(constB10)) | (~v110(constB10))),
% 53.46/33.65 inference(unit_resolution,[status(thm)],[2515, 1160, 2484])).
% 53.46/33.65 tff(2517,plain,
% 53.46/33.65 (v100(constB10) | (~v110(constB10))),
% 53.46/33.65 inference(unit_resolution,[status(thm)],[2516, 2509])).
% 53.46/33.65 tff(2518,plain,
% 53.46/33.65 (v100(constB10)),
% 53.46/33.65 inference(unit_resolution,[status(thm)],[2517, 2492])).
% 53.46/33.65 tff(2519,plain,
% 53.46/33.65 (^[VarCurr: state_type] : refl(((~v123(VarCurr)) | v130(VarCurr, 2)) <=> ((~v123(VarCurr)) | v130(VarCurr, 2)))),
% 53.46/33.65 inference(bind,[status(th)],[])).
% 53.46/33.65 tff(2520,plain,
% 53.46/33.65 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))),
% 53.46/33.65 inference(quant_intro,[status(thm)],[2519])).
% 53.46/33.65 tff(2521,plain,
% 53.46/33.65 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))),
% 53.46/33.65 inference(rewrite,[status(thm)],[])).
% 53.46/33.65 tff(2522,axiom,(![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4_1_3')).
% 53.46/33.65 tff(2523,plain,
% 53.46/33.65 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))),
% 53.46/33.65 inference(modus_ponens,[status(thm)],[2522, 2521])).
% 53.46/33.65 tff(2524,plain,(
% 53.46/33.65 ![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))),
% 53.46/33.65 inference(skolemize,[status(sab)],[2523])).
% 53.46/33.65 tff(2525,plain,
% 53.46/33.65 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))),
% 53.46/33.65 inference(modus_ponens,[status(thm)],[2524, 2520])).
% 53.46/33.65 tff(2526,plain,
% 53.46/33.65 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB9)) | v130(constB9, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB9)) | v130(constB9, 2))),
% 53.46/33.65 inference(rewrite,[status(thm)],[])).
% 53.46/33.65 tff(2527,plain,
% 53.46/33.65 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB9)) | v130(constB9, 2))),
% 53.46/33.65 inference(quant_inst,[status(thm)],[])).
% 53.46/33.65 tff(2528,plain,
% 53.46/33.65 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB9)) | v130(constB9, 2)),
% 53.46/33.65 inference(modus_ponens,[status(thm)],[2527, 2526])).
% 53.46/33.65 tff(2529,plain,
% 53.46/33.65 (v130(constB9, 2)),
% 53.46/33.65 inference(unit_resolution,[status(thm)],[2528, 2525, 2445])).
% 53.46/33.65 tff(2530,plain,
% 53.46/33.65 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB9) | (~v130(constB9, 2)) | v127(constB9, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB9) | (~v130(constB9, 2)) | v127(constB9, 2))),
% 53.46/33.65 inference(rewrite,[status(thm)],[])).
% 53.46/33.65 tff(2531,plain,
% 53.46/33.65 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB9) | (~v130(constB9, 2)) | v127(constB9, 2))),
% 53.46/33.65 inference(quant_inst,[status(thm)],[])).
% 53.46/33.65 tff(2532,plain,
% 53.46/33.65 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB9) | (~v130(constB9, 2)) | v127(constB9, 2)),
% 53.46/33.65 inference(modus_ponens,[status(thm)],[2531, 2530])).
% 53.46/33.65 tff(2533,plain,
% 53.46/33.65 (v26(constB9) | v127(constB9, 2)),
% 53.46/33.65 inference(unit_resolution,[status(thm)],[2532, 1981, 2529])).
% 53.46/33.65 tff(2534,plain,
% 53.46/33.65 (v127(constB9, 2)),
% 53.46/33.65 inference(unit_resolution,[status(thm)],[2533, 841])).
% 53.46/33.65 tff(2535,plain,
% 53.46/33.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB9, constB10)) | (~v127(constB9, 2)) | v129(constB10, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB9, constB10)) | (~v127(constB9, 2)) | v129(constB10, 2))),
% 53.46/33.65 inference(rewrite,[status(thm)],[])).
% 53.46/33.65 tff(2536,plain,
% 53.46/33.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB9, constB10)) | (~v127(constB9, 2)) | v129(constB10, 2))),
% 53.46/33.65 inference(quant_inst,[status(thm)],[])).
% 53.46/33.65 tff(2537,plain,
% 53.46/33.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB9, constB10)) | (~v127(constB9, 2)) | v129(constB10, 2)),
% 53.46/33.65 inference(modus_ponens,[status(thm)],[2536, 2535])).
% 53.46/33.65 tff(2538,plain,
% 53.46/33.65 ((~v127(constB9, 2)) | v129(constB10, 2)),
% 53.46/33.65 inference(unit_resolution,[status(thm)],[2537, 1999, 2484])).
% 53.46/33.65 tff(2539,plain,
% 53.46/33.65 (v129(constB10, 2)),
% 53.46/33.65 inference(unit_resolution,[status(thm)],[2538, 2534])).
% 53.46/33.65 tff(2540,plain,
% 53.46/33.65 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB10, 2) | (~v129(constB10, 2)) | (~v100(constB10)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB10, 2) | (~v129(constB10, 2)) | (~v100(constB10)))),
% 53.46/33.65 inference(rewrite,[status(thm)],[])).
% 53.46/33.65 tff(2541,plain,
% 53.46/33.65 ((v90(constB10, 2) | (~v100(constB10)) | (~v129(constB10, 2))) <=> (v90(constB10, 2) | (~v129(constB10, 2)) | (~v100(constB10)))),
% 53.46/33.65 inference(rewrite,[status(thm)],[])).
% 53.46/33.65 tff(2542,plain,
% 53.46/33.65 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB10, 2) | (~v100(constB10)) | (~v129(constB10, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB10, 2) | (~v129(constB10, 2)) | (~v100(constB10))))),
% 53.46/33.65 inference(monotonicity,[status(thm)],[2541])).
% 53.46/33.65 tff(2543,plain,
% 53.46/33.65 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB10, 2) | (~v100(constB10)) | (~v129(constB10, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB10, 2) | (~v129(constB10, 2)) | (~v100(constB10)))),
% 53.46/33.65 inference(transitivity,[status(thm)],[2542, 2540])).
% 53.46/33.65 tff(2544,plain,
% 53.46/33.65 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB10, 2) | (~v100(constB10)) | (~v129(constB10, 2)))),
% 53.46/33.65 inference(quant_inst,[status(thm)],[])).
% 53.46/33.65 tff(2545,plain,
% 53.46/33.65 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB10, 2) | (~v129(constB10, 2)) | (~v100(constB10))),
% 53.46/33.65 inference(modus_ponens,[status(thm)],[2544, 2543])).
% 53.46/33.65 tff(2546,plain,
% 53.46/33.65 (v90(constB10, 2) | (~v100(constB10))),
% 53.46/33.65 inference(unit_resolution,[status(thm)],[2545, 2324, 2539])).
% 53.46/33.65 tff(2547,plain,
% 53.46/33.65 (v90(constB10, 2)),
% 53.46/33.65 inference(unit_resolution,[status(thm)],[2546, 2518])).
% 53.46/33.65 tff(2548,plain,
% 53.46/33.65 ((~v1(constB11)) <=> (~v1(constB11))),
% 53.46/33.65 inference(rewrite,[status(thm)],[])).
% 53.46/33.65 tff(2549,axiom,(~v1(constB11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_11_1_1')).
% 53.46/33.65 tff(2550,plain,
% 53.46/33.65 (~v1(constB11)),
% 53.46/33.65 inference(modus_ponens,[status(thm)],[2549, 2548])).
% 53.46/33.65 tff(2551,plain,
% 53.46/33.65 (nextState(constB10, constB11) <=> nextState(constB10, constB11)),
% 53.46/33.65 inference(rewrite,[status(thm)],[])).
% 53.46/33.65 tff(2552,axiom,(nextState(constB10, constB11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_10_1')).
% 53.46/33.65 tff(2553,plain,
% 53.46/33.65 (nextState(constB10, constB11)),
% 53.46/33.65 inference(modus_ponens,[status(thm)],[2552, 2551])).
% 53.46/33.65 tff(2554,plain,
% 53.46/33.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11)))),
% 53.46/33.65 inference(rewrite,[status(thm)],[])).
% 53.46/33.65 tff(2555,plain,
% 53.46/33.65 (((~nextState(constB10, constB11)) | (~v101(constB11)) | v1(constB11)) <=> (v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11)))),
% 53.46/33.65 inference(rewrite,[status(thm)],[])).
% 53.46/33.65 tff(2556,plain,
% 53.46/33.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB10, constB11)) | (~v101(constB11)) | v1(constB11))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11))))),
% 53.46/33.65 inference(monotonicity,[status(thm)],[2555])).
% 53.46/33.65 tff(2557,plain,
% 53.46/33.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB10, constB11)) | (~v101(constB11)) | v1(constB11))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11)))),
% 53.46/33.65 inference(transitivity,[status(thm)],[2556, 2554])).
% 53.46/33.65 tff(2558,plain,
% 53.46/33.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB10, constB11)) | (~v101(constB11)) | v1(constB11))),
% 53.46/33.65 inference(quant_inst,[status(thm)],[])).
% 53.46/33.65 tff(2559,plain,
% 53.46/33.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB11) | (~nextState(constB10, constB11)) | (~v101(constB11))),
% 53.46/33.65 inference(modus_ponens,[status(thm)],[2558, 2557])).
% 53.46/33.65 tff(2560,plain,
% 53.46/33.65 (~v101(constB11)),
% 53.46/33.65 inference(unit_resolution,[status(thm)],[2559, 873, 2553, 2550])).
% 53.46/33.65 tff(2561,plain,
% 53.46/33.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB10, constB11)) | v101(constB11) | (~v100(constB11)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB10, constB11)) | v101(constB11) | (~v100(constB11)))),
% 53.46/33.65 inference(rewrite,[status(thm)],[])).
% 53.46/33.65 tff(2562,plain,
% 53.46/33.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB10, constB11)) | v101(constB11) | (~v100(constB11)))),
% 53.46/33.65 inference(quant_inst,[status(thm)],[])).
% 53.46/33.65 tff(2563,plain,
% 53.46/33.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB10, constB11)) | v101(constB11) | (~v100(constB11))),
% 53.46/33.65 inference(modus_ponens,[status(thm)],[2562, 2561])).
% 53.46/33.65 tff(2564,plain,
% 53.46/33.65 (v101(constB11) | (~v100(constB11))),
% 53.46/33.65 inference(unit_resolution,[status(thm)],[2563, 890, 2553])).
% 53.46/33.65 tff(2565,plain,
% 53.46/33.65 (~v100(constB11)),
% 53.46/33.65 inference(unit_resolution,[status(thm)],[2564, 2560])).
% 53.46/33.65 tff(2566,plain,
% 53.46/33.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB10, 2)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB10, 2)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, 2))),
% 53.46/33.65 inference(rewrite,[status(thm)],[])).
% 53.46/33.65 tff(2567,plain,
% 53.46/33.65 (((~nextState(constB10, constB11)) | (~v90(constB10, 2)) | v100(constB11) | v90(constB11, 2)) <=> ((~v90(constB10, 2)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, 2))),
% 53.46/33.65 inference(rewrite,[status(thm)],[])).
% 53.46/33.65 tff(2568,plain,
% 53.46/33.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB10, constB11)) | (~v90(constB10, 2)) | v100(constB11) | v90(constB11, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB10, 2)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, 2)))),
% 53.46/33.65 inference(monotonicity,[status(thm)],[2567])).
% 53.46/33.65 tff(2569,plain,
% 53.46/33.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB10, constB11)) | (~v90(constB10, 2)) | v100(constB11) | v90(constB11, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB10, 2)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, 2))),
% 53.46/33.65 inference(transitivity,[status(thm)],[2568, 2566])).
% 53.46/33.65 tff(2570,plain,
% 53.46/33.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB10, constB11)) | (~v90(constB10, 2)) | v100(constB11) | v90(constB11, 2))),
% 53.46/33.65 inference(quant_inst,[status(thm)],[])).
% 53.46/33.65 tff(2571,plain,
% 53.46/33.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB10, 2)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, 2)),
% 53.46/33.65 inference(modus_ponens,[status(thm)],[2570, 2569])).
% 53.46/33.65 tff(2572,plain,
% 53.46/33.65 ((~v90(constB10, 2)) | v100(constB11) | v90(constB11, 2)),
% 53.46/33.65 inference(unit_resolution,[status(thm)],[2571, 2174, 2553])).
% 53.46/33.65 tff(2573,plain,
% 53.46/33.65 ((~v90(constB10, 2)) | v90(constB11, 2)),
% 53.46/33.65 inference(unit_resolution,[status(thm)],[2572, 2565])).
% 53.46/33.65 tff(2574,plain,
% 53.46/33.65 (v90(constB11, 2)),
% 53.46/33.65 inference(unit_resolution,[status(thm)],[2573, 2547])).
% 53.46/33.65 tff(2575,plain,
% 53.46/33.65 (^[VarCurr: state_type] : refl(((~v123(VarCurr)) | (~v130(VarCurr, 1))) <=> ((~v123(VarCurr)) | (~v130(VarCurr, 1))))),
% 53.46/33.65 inference(bind,[status(th)],[])).
% 53.46/33.65 tff(2576,plain,
% 53.46/33.65 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))),
% 53.46/33.65 inference(quant_intro,[status(thm)],[2575])).
% 53.46/33.65 tff(2577,plain,
% 53.46/33.65 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))),
% 53.46/33.65 inference(rewrite,[status(thm)],[])).
% 53.46/33.65 tff(2578,axiom,(![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4_1_2')).
% 53.46/33.65 tff(2579,plain,
% 53.46/33.65 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))),
% 53.46/33.65 inference(modus_ponens,[status(thm)],[2578, 2577])).
% 53.46/33.65 tff(2580,plain,(
% 53.46/33.65 ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))),
% 53.46/33.65 inference(skolemize,[status(sab)],[2579])).
% 53.46/33.65 tff(2581,plain,
% 53.46/33.65 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))),
% 53.46/33.65 inference(modus_ponens,[status(thm)],[2580, 2576])).
% 53.46/33.65 tff(2582,plain,
% 53.46/33.65 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB9)) | (~v130(constB9, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB9)) | (~v130(constB9, 1)))),
% 53.46/33.65 inference(rewrite,[status(thm)],[])).
% 53.46/33.65 tff(2583,plain,
% 53.46/33.65 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB9)) | (~v130(constB9, 1)))),
% 53.46/33.65 inference(quant_inst,[status(thm)],[])).
% 53.46/33.65 tff(2584,plain,
% 53.46/33.65 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB9)) | (~v130(constB9, 1))),
% 53.46/33.65 inference(modus_ponens,[status(thm)],[2583, 2582])).
% 53.46/33.65 tff(2585,plain,
% 53.46/33.65 (~v130(constB9, 1)),
% 53.46/33.65 inference(unit_resolution,[status(thm)],[2584, 2581, 2445])).
% 53.46/33.65 tff(2586,plain,
% 53.46/33.65 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB9, 1)) | v26(constB9) | v130(constB9, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB9, 1)) | v26(constB9) | v130(constB9, 1))),
% 53.46/33.65 inference(rewrite,[status(thm)],[])).
% 53.46/33.65 tff(2587,plain,
% 53.46/33.65 ((v26(constB9) | v130(constB9, 1) | (~v127(constB9, 1))) <=> ((~v127(constB9, 1)) | v26(constB9) | v130(constB9, 1))),
% 53.46/33.65 inference(rewrite,[status(thm)],[])).
% 53.46/33.65 tff(2588,plain,
% 53.46/33.65 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB9) | v130(constB9, 1) | (~v127(constB9, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB9, 1)) | v26(constB9) | v130(constB9, 1)))),
% 53.46/33.65 inference(monotonicity,[status(thm)],[2587])).
% 53.46/33.65 tff(2589,plain,
% 53.46/33.65 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB9) | v130(constB9, 1) | (~v127(constB9, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB9, 1)) | v26(constB9) | v130(constB9, 1))),
% 53.46/33.65 inference(transitivity,[status(thm)],[2588, 2586])).
% 53.46/33.65 tff(2590,plain,
% 53.46/33.65 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB9) | v130(constB9, 1) | (~v127(constB9, 1)))),
% 53.46/33.65 inference(quant_inst,[status(thm)],[])).
% 53.46/33.65 tff(2591,plain,
% 53.46/33.65 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB9, 1)) | v26(constB9) | v130(constB9, 1)),
% 53.46/33.65 inference(modus_ponens,[status(thm)],[2590, 2589])).
% 53.46/33.65 tff(2592,plain,
% 53.46/33.65 ((~v127(constB9, 1)) | v26(constB9)),
% 53.46/33.65 inference(unit_resolution,[status(thm)],[2591, 1276, 2585])).
% 53.46/33.65 tff(2593,plain,
% 53.46/33.65 (~v127(constB9, 1)),
% 53.46/33.65 inference(unit_resolution,[status(thm)],[2592, 841])).
% 53.46/33.65 tff(2594,plain,
% 53.46/33.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB9, constB10)) | v127(constB9, 1) | (~v129(constB10, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB9, constB10)) | v127(constB9, 1) | (~v129(constB10, 1)))),
% 53.46/33.65 inference(rewrite,[status(thm)],[])).
% 53.46/33.65 tff(2595,plain,
% 53.46/33.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB9, constB10)) | v127(constB9, 1) | (~v129(constB10, 1)))),
% 53.46/33.65 inference(quant_inst,[status(thm)],[])).
% 53.46/33.65 tff(2596,plain,
% 53.46/33.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB9, constB10)) | v127(constB9, 1) | (~v129(constB10, 1))),
% 53.46/33.65 inference(modus_ponens,[status(thm)],[2595, 2594])).
% 53.46/33.65 tff(2597,plain,
% 53.46/33.65 (v127(constB9, 1) | (~v129(constB10, 1))),
% 53.46/33.65 inference(unit_resolution,[status(thm)],[2596, 1294, 2484])).
% 53.46/33.65 tff(2598,plain,
% 53.46/33.65 (~v129(constB10, 1)),
% 53.46/33.65 inference(unit_resolution,[status(thm)],[2597, 2593])).
% 53.46/33.65 tff(2599,plain,
% 53.46/33.65 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB10, 1)) | v129(constB10, 1) | (~v100(constB10)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB10, 1)) | v129(constB10, 1) | (~v100(constB10)))),
% 53.46/33.65 inference(rewrite,[status(thm)],[])).
% 53.46/33.65 tff(2600,plain,
% 53.46/33.65 (((~v90(constB10, 1)) | (~v100(constB10)) | v129(constB10, 1)) <=> ((~v90(constB10, 1)) | v129(constB10, 1) | (~v100(constB10)))),
% 53.46/33.65 inference(rewrite,[status(thm)],[])).
% 53.46/33.65 tff(2601,plain,
% 53.46/33.65 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB10, 1)) | (~v100(constB10)) | v129(constB10, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB10, 1)) | v129(constB10, 1) | (~v100(constB10))))),
% 53.46/33.65 inference(monotonicity,[status(thm)],[2600])).
% 53.46/33.65 tff(2602,plain,
% 53.46/33.65 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB10, 1)) | (~v100(constB10)) | v129(constB10, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB10, 1)) | v129(constB10, 1) | (~v100(constB10)))),
% 53.46/33.65 inference(transitivity,[status(thm)],[2601, 2599])).
% 53.46/33.65 tff(2603,plain,
% 53.46/33.65 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB10, 1)) | (~v100(constB10)) | v129(constB10, 1))),
% 53.46/33.65 inference(quant_inst,[status(thm)],[])).
% 53.46/33.65 tff(2604,plain,
% 53.46/33.65 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB10, 1)) | v129(constB10, 1) | (~v100(constB10))),
% 53.46/33.65 inference(modus_ponens,[status(thm)],[2603, 2602])).
% 53.46/33.65 tff(2605,plain,
% 53.46/33.65 ((~v90(constB10, 1)) | (~v100(constB10))),
% 53.46/33.65 inference(unit_resolution,[status(thm)],[2604, 1309, 2598])).
% 53.46/33.65 tff(2606,plain,
% 53.46/33.65 (~v90(constB10, 1)),
% 53.46/33.65 inference(unit_resolution,[status(thm)],[2605, 2518])).
% 53.46/33.65 tff(2607,plain,
% 53.46/33.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB10, 1) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB10, 1) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, 1)))),
% 53.46/33.65 inference(rewrite,[status(thm)],[])).
% 53.46/33.65 tff(2608,plain,
% 53.46/33.65 (((~nextState(constB10, constB11)) | v90(constB10, 1) | v100(constB11) | (~v90(constB11, 1))) <=> (v90(constB10, 1) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, 1)))),
% 53.46/33.65 inference(rewrite,[status(thm)],[])).
% 53.46/33.65 tff(2609,plain,
% 53.46/33.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB10, constB11)) | v90(constB10, 1) | v100(constB11) | (~v90(constB11, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB10, 1) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, 1))))),
% 53.46/33.65 inference(monotonicity,[status(thm)],[2608])).
% 53.46/33.65 tff(2610,plain,
% 53.46/33.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB10, constB11)) | v90(constB10, 1) | v100(constB11) | (~v90(constB11, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB10, 1) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, 1)))),
% 53.46/33.65 inference(transitivity,[status(thm)],[2609, 2607])).
% 53.46/33.65 tff(2611,plain,
% 53.46/33.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB10, constB11)) | v90(constB10, 1) | v100(constB11) | (~v90(constB11, 1)))),
% 53.46/33.65 inference(quant_inst,[status(thm)],[])).
% 53.46/33.65 tff(2612,plain,
% 53.46/33.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB10, 1) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, 1))),
% 53.46/33.65 inference(modus_ponens,[status(thm)],[2611, 2610])).
% 53.46/33.65 tff(2613,plain,
% 53.46/33.65 (v90(constB10, 1) | v100(constB11) | (~v90(constB11, 1))),
% 53.46/33.65 inference(unit_resolution,[status(thm)],[2612, 926, 2553])).
% 53.46/33.65 tff(2614,plain,
% 53.46/33.65 (v90(constB10, 1) | (~v90(constB11, 1))),
% 53.46/33.65 inference(unit_resolution,[status(thm)],[2613, 2565])).
% 53.46/33.65 tff(2615,plain,
% 53.46/33.65 (~v90(constB11, 1)),
% 53.46/33.65 inference(unit_resolution,[status(thm)],[2614, 2606])).
% 53.46/33.65 tff(2616,plain,
% 53.46/33.65 (^[VarCurr: state_type] : refl(((~v123(VarCurr)) | v130(VarCurr, 0)) <=> ((~v123(VarCurr)) | v130(VarCurr, 0)))),
% 53.46/33.65 inference(bind,[status(th)],[])).
% 53.46/33.65 tff(2617,plain,
% 53.46/33.65 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))),
% 53.46/33.65 inference(quant_intro,[status(thm)],[2616])).
% 53.46/33.65 tff(2618,plain,
% 53.46/33.65 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))),
% 53.46/33.65 inference(rewrite,[status(thm)],[])).
% 53.46/33.65 tff(2619,axiom,(![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4_1_1')).
% 53.46/33.65 tff(2620,plain,
% 53.46/33.65 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))),
% 53.46/33.65 inference(modus_ponens,[status(thm)],[2619, 2618])).
% 53.46/33.65 tff(2621,plain,(
% 53.46/33.65 ![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))),
% 53.46/33.65 inference(skolemize,[status(sab)],[2620])).
% 53.46/33.65 tff(2622,plain,
% 53.46/33.65 (![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))),
% 53.46/33.65 inference(modus_ponens,[status(thm)],[2621, 2617])).
% 53.46/33.65 tff(2623,plain,
% 53.46/33.65 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB9)) | v130(constB9, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB9)) | v130(constB9, 0))),
% 53.46/33.65 inference(rewrite,[status(thm)],[])).
% 53.46/33.65 tff(2624,plain,
% 53.46/33.65 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB9)) | v130(constB9, 0))),
% 53.46/33.65 inference(quant_inst,[status(thm)],[])).
% 53.46/33.65 tff(2625,plain,
% 53.46/33.65 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB9)) | v130(constB9, 0)),
% 53.46/33.65 inference(modus_ponens,[status(thm)],[2624, 2623])).
% 53.46/33.65 tff(2626,plain,
% 53.46/33.65 (v130(constB9, 0)),
% 53.46/33.65 inference(unit_resolution,[status(thm)],[2625, 2622, 2445])).
% 53.46/33.65 tff(2627,plain,
% 53.46/33.65 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB9) | (~v130(constB9, 0)) | v127(constB9, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB9) | (~v130(constB9, 0)) | v127(constB9, 0))),
% 53.46/33.65 inference(rewrite,[status(thm)],[])).
% 53.46/33.65 tff(2628,plain,
% 53.46/33.65 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB9) | (~v130(constB9, 0)) | v127(constB9, 0))),
% 53.46/33.65 inference(quant_inst,[status(thm)],[])).
% 53.46/33.65 tff(2629,plain,
% 53.46/33.65 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB9) | (~v130(constB9, 0)) | v127(constB9, 0)),
% 53.46/33.65 inference(modus_ponens,[status(thm)],[2628, 2627])).
% 53.46/33.65 tff(2630,plain,
% 53.46/33.65 (v26(constB9) | v127(constB9, 0)),
% 53.46/33.65 inference(unit_resolution,[status(thm)],[2629, 1347, 2626])).
% 53.46/33.65 tff(2631,plain,
% 53.46/33.65 (v127(constB9, 0)),
% 53.46/33.65 inference(unit_resolution,[status(thm)],[2630, 841])).
% 53.46/33.65 tff(2632,plain,
% 53.46/33.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB9, constB10)) | (~v127(constB9, 0)) | v129(constB10, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB9, constB10)) | (~v127(constB9, 0)) | v129(constB10, 0))),
% 53.46/33.65 inference(rewrite,[status(thm)],[])).
% 53.46/33.65 tff(2633,plain,
% 53.46/33.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB9, constB10)) | (~v127(constB9, 0)) | v129(constB10, 0))),
% 53.46/33.65 inference(quant_inst,[status(thm)],[])).
% 53.46/33.65 tff(2634,plain,
% 53.46/33.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB9, constB10)) | (~v127(constB9, 0)) | v129(constB10, 0)),
% 53.46/33.65 inference(modus_ponens,[status(thm)],[2633, 2632])).
% 53.46/33.65 tff(2635,plain,
% 53.46/33.65 ((~v127(constB9, 0)) | v129(constB10, 0)),
% 53.46/33.65 inference(unit_resolution,[status(thm)],[2634, 1362, 2484])).
% 53.46/33.65 tff(2636,plain,
% 53.46/33.65 (v129(constB10, 0)),
% 53.46/33.65 inference(unit_resolution,[status(thm)],[2635, 2631])).
% 53.46/33.66 tff(2637,plain,
% 53.46/33.66 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB10, 0) | (~v129(constB10, 0)) | (~v100(constB10)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB10, 0) | (~v129(constB10, 0)) | (~v100(constB10)))),
% 53.46/33.66 inference(rewrite,[status(thm)],[])).
% 53.46/33.66 tff(2638,plain,
% 53.46/33.66 ((v90(constB10, 0) | (~v100(constB10)) | (~v129(constB10, 0))) <=> (v90(constB10, 0) | (~v129(constB10, 0)) | (~v100(constB10)))),
% 53.46/33.66 inference(rewrite,[status(thm)],[])).
% 53.46/33.66 tff(2639,plain,
% 53.46/33.66 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB10, 0) | (~v100(constB10)) | (~v129(constB10, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB10, 0) | (~v129(constB10, 0)) | (~v100(constB10))))),
% 53.46/33.66 inference(monotonicity,[status(thm)],[2638])).
% 53.46/33.66 tff(2640,plain,
% 53.46/33.66 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB10, 0) | (~v100(constB10)) | (~v129(constB10, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB10, 0) | (~v129(constB10, 0)) | (~v100(constB10)))),
% 53.46/33.66 inference(transitivity,[status(thm)],[2639, 2637])).
% 53.46/33.66 tff(2641,plain,
% 53.46/33.66 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB10, 0) | (~v100(constB10)) | (~v129(constB10, 0)))),
% 53.46/33.66 inference(quant_inst,[status(thm)],[])).
% 53.46/33.66 tff(2642,plain,
% 53.46/33.66 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB10, 0) | (~v129(constB10, 0)) | (~v100(constB10))),
% 53.46/33.66 inference(modus_ponens,[status(thm)],[2641, 2640])).
% 53.46/33.66 tff(2643,plain,
% 53.46/33.66 (v90(constB10, 0) | (~v100(constB10))),
% 53.46/33.66 inference(unit_resolution,[status(thm)],[2642, 1377, 2636])).
% 53.46/33.66 tff(2644,plain,
% 53.46/33.66 (v90(constB10, 0)),
% 53.46/33.66 inference(unit_resolution,[status(thm)],[2643, 2518])).
% 53.46/33.66 tff(2645,plain,
% 53.46/33.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB10, 0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB10, 0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, 0))),
% 53.46/33.66 inference(rewrite,[status(thm)],[])).
% 53.46/33.66 tff(2646,plain,
% 53.46/33.66 (((~nextState(constB10, constB11)) | (~v90(constB10, 0)) | v100(constB11) | v90(constB11, 0)) <=> ((~v90(constB10, 0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, 0))),
% 53.46/33.66 inference(rewrite,[status(thm)],[])).
% 53.46/33.66 tff(2647,plain,
% 53.46/33.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB10, constB11)) | (~v90(constB10, 0)) | v100(constB11) | v90(constB11, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB10, 0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, 0)))),
% 53.46/33.66 inference(monotonicity,[status(thm)],[2646])).
% 53.46/33.66 tff(2648,plain,
% 53.46/33.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB10, constB11)) | (~v90(constB10, 0)) | v100(constB11) | v90(constB11, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB10, 0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, 0))),
% 53.46/33.66 inference(transitivity,[status(thm)],[2647, 2645])).
% 53.46/33.66 tff(2649,plain,
% 53.46/33.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB10, constB11)) | (~v90(constB10, 0)) | v100(constB11) | v90(constB11, 0))),
% 53.49/33.66 inference(quant_inst,[status(thm)],[])).
% 53.49/33.66 tff(2650,plain,
% 53.49/33.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB10, 0)) | (~nextState(constB10, constB11)) | v100(constB11) | v90(constB11, 0)),
% 53.49/33.66 inference(modus_ponens,[status(thm)],[2649, 2648])).
% 53.49/33.66 tff(2651,plain,
% 53.49/33.66 ((~v90(constB10, 0)) | v100(constB11) | v90(constB11, 0)),
% 53.49/33.66 inference(unit_resolution,[status(thm)],[2650, 1395, 2553])).
% 53.49/33.66 tff(2652,plain,
% 53.49/33.66 ((~v90(constB10, 0)) | v90(constB11, 0)),
% 53.49/33.66 inference(unit_resolution,[status(thm)],[2651, 2565])).
% 53.49/33.66 tff(2653,plain,
% 53.49/33.66 (v90(constB11, 0)),
% 53.49/33.66 inference(unit_resolution,[status(thm)],[2652, 2644])).
% 53.49/33.66 tff(2654,plain,
% 53.49/33.66 (^[VarCurr: state_type] : refl(((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr)) <=> ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr)))),
% 53.49/33.66 inference(bind,[status(th)],[])).
% 53.49/33.66 tff(2655,plain,
% 53.49/33.66 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))),
% 53.49/33.66 inference(quant_intro,[status(thm)],[2654])).
% 53.49/33.66 tff(2656,plain,
% 53.49/33.66 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))),
% 53.49/33.66 inference(rewrite,[status(thm)],[])).
% 53.49/33.66 tff(2657,plain,
% 53.49/33.66 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite((v90(VarCurr, 1) | (~v90(VarCurr, 0))) <=> ((~v90(VarCurr, 0)) | v90(VarCurr, 1))), (((v90(VarCurr, 1) | (~v90(VarCurr, 0))) | (~v90(VarCurr, 2))) <=> (((~v90(VarCurr, 0)) | v90(VarCurr, 1)) | (~v90(VarCurr, 2))))), rewrite((((~v90(VarCurr, 0)) | v90(VarCurr, 1)) | (~v90(VarCurr, 2))) <=> ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)))), (((v90(VarCurr, 1) | (~v90(VarCurr, 0))) | (~v90(VarCurr, 2))) <=> ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2))))), ((((v90(VarCurr, 1) | (~v90(VarCurr, 0))) | (~v90(VarCurr, 2))) | v124(VarCurr)) <=> (((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2))) | v124(VarCurr)))), rewrite((((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2))) | v124(VarCurr)) <=> ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))), ((((v90(VarCurr, 1) | (~v90(VarCurr, 0))) | (~v90(VarCurr, 2))) | v124(VarCurr)) <=> ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))))),
% 53.49/33.66 inference(bind,[status(th)],[])).
% 53.49/33.66 tff(2658,plain,
% 53.49/33.66 (![VarCurr: state_type] : (((v90(VarCurr, 1) | (~v90(VarCurr, 0))) | (~v90(VarCurr, 2))) | v124(VarCurr)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))),
% 53.49/33.66 inference(quant_intro,[status(thm)],[2657])).
% 53.49/33.66 tff(2659,axiom,(![VarCurr: state_type] : (((v90(VarCurr, 1) | (~v90(VarCurr, 0))) | (~v90(VarCurr, 2))) | v124(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_1')).
% 53.49/33.66 tff(2660,plain,
% 53.49/33.66 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))),
% 53.49/33.66 inference(modus_ponens,[status(thm)],[2659, 2658])).
% 53.49/33.66 tff(2661,plain,
% 53.49/33.66 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))),
% 53.49/33.66 inference(modus_ponens,[status(thm)],[2660, 2656])).
% 53.49/33.66 tff(2662,plain,(
% 53.49/33.66 ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))),
% 53.49/33.66 inference(skolemize,[status(sab)],[2661])).
% 53.49/33.66 tff(2663,plain,
% 53.49/33.66 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))),
% 53.49/33.66 inference(modus_ponens,[status(thm)],[2662, 2655])).
% 53.49/33.66 tff(2664,plain,
% 53.49/33.66 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB11, 0)) | v90(constB11, 1) | (~v90(constB11, 2)) | v124(constB11))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB11, 0)) | v90(constB11, 1) | (~v90(constB11, 2)) | v124(constB11))),
% 53.49/33.66 inference(rewrite,[status(thm)],[])).
% 53.49/33.66 tff(2665,plain,
% 53.49/33.66 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB11, 0)) | v90(constB11, 1) | (~v90(constB11, 2)) | v124(constB11))),
% 53.49/33.66 inference(quant_inst,[status(thm)],[])).
% 53.49/33.66 tff(2666,plain,
% 53.49/33.66 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB11, 0)) | v90(constB11, 1) | (~v90(constB11, 2)) | v124(constB11)),
% 53.49/33.66 inference(modus_ponens,[status(thm)],[2665, 2664])).
% 53.49/33.66 tff(2667,plain,
% 53.49/33.66 (v124(constB11)),
% 53.49/33.66 inference(unit_resolution,[status(thm)],[2666, 2663, 2653, 2615, 2574])).
% 53.49/33.66 tff(2668,plain,
% 53.49/33.66 (^[VarCurr: state_type] : refl(((~v124(VarCurr)) | v114(VarCurr)) <=> ((~v124(VarCurr)) | v114(VarCurr)))),
% 53.49/33.66 inference(bind,[status(th)],[])).
% 53.49/33.66 tff(2669,plain,
% 53.49/33.66 (![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))),
% 53.49/33.66 inference(quant_intro,[status(thm)],[2668])).
% 53.49/33.66 tff(2670,plain,
% 53.49/33.66 (![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))),
% 53.49/33.66 inference(rewrite,[status(thm)],[])).
% 53.49/33.66 tff(2671,axiom,(![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_23_1_1')).
% 53.49/33.66 tff(2672,plain,
% 53.49/33.66 (![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))),
% 53.49/33.66 inference(modus_ponens,[status(thm)],[2671, 2670])).
% 53.49/33.66 tff(2673,plain,(
% 53.49/33.66 ![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))),
% 53.49/33.66 inference(skolemize,[status(sab)],[2672])).
% 53.49/33.66 tff(2674,plain,
% 53.49/33.66 (![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))),
% 53.49/33.66 inference(modus_ponens,[status(thm)],[2673, 2669])).
% 53.49/33.66 tff(2675,plain,
% 53.49/33.66 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB11)) | v114(constB11))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB11)) | v114(constB11))),
% 53.49/33.66 inference(rewrite,[status(thm)],[])).
% 53.49/33.66 tff(2676,plain,
% 53.49/33.66 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB11)) | v114(constB11))),
% 53.49/33.66 inference(quant_inst,[status(thm)],[])).
% 53.49/33.66 tff(2677,plain,
% 53.49/33.66 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB11)) | v114(constB11)),
% 53.49/33.66 inference(modus_ponens,[status(thm)],[2676, 2675])).
% 53.49/33.66 tff(2678,plain,
% 53.49/33.66 (v114(constB11)),
% 53.49/33.66 inference(unit_resolution,[status(thm)],[2677, 2674, 2667])).
% 53.49/33.66 tff(2679,plain,
% 53.49/33.66 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB11) | (~v114(constB11)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB11) | (~v114(constB11)))),
% 53.49/33.66 inference(rewrite,[status(thm)],[])).
% 53.49/33.66 tff(2680,plain,
% 53.49/33.66 (((~v114(constB11)) | v113(constB11)) <=> (v113(constB11) | (~v114(constB11)))),
% 53.49/33.66 inference(rewrite,[status(thm)],[])).
% 53.49/33.66 tff(2681,plain,
% 53.49/33.66 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB11)) | v113(constB11))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB11) | (~v114(constB11))))),
% 53.49/33.66 inference(monotonicity,[status(thm)],[2680])).
% 53.49/33.66 tff(2682,plain,
% 53.49/33.66 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB11)) | v113(constB11))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB11) | (~v114(constB11)))),
% 53.49/33.66 inference(transitivity,[status(thm)],[2681, 2679])).
% 53.49/33.66 tff(2683,plain,
% 53.49/33.66 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB11)) | v113(constB11))),
% 53.49/33.66 inference(quant_inst,[status(thm)],[])).
% 53.49/33.66 tff(2684,plain,
% 53.49/33.66 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB11) | (~v114(constB11))),
% 53.49/33.66 inference(modus_ponens,[status(thm)],[2683, 2682])).
% 53.49/33.66 tff(2685,plain,
% 53.49/33.66 (v113(constB11)),
% 53.49/33.66 inference(unit_resolution,[status(thm)],[2684, 1049, 2678])).
% 53.49/33.66 tff(2686,plain,
% 53.49/33.66 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB11) | v112(constB11) | (~v113(constB11)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB11) | v112(constB11) | (~v113(constB11)))),
% 53.49/33.66 inference(rewrite,[status(thm)],[])).
% 53.49/33.66 tff(2687,plain,
% 53.49/33.66 ((v26(constB11) | (~v113(constB11)) | v112(constB11)) <=> (v26(constB11) | v112(constB11) | (~v113(constB11)))),
% 53.49/33.66 inference(rewrite,[status(thm)],[])).
% 53.49/33.66 tff(2688,plain,
% 53.49/33.66 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB11) | (~v113(constB11)) | v112(constB11))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB11) | v112(constB11) | (~v113(constB11))))),
% 53.49/33.66 inference(monotonicity,[status(thm)],[2687])).
% 53.49/33.66 tff(2689,plain,
% 53.49/33.66 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB11) | (~v113(constB11)) | v112(constB11))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB11) | v112(constB11) | (~v113(constB11)))),
% 53.49/33.66 inference(transitivity,[status(thm)],[2688, 2686])).
% 53.49/33.66 tff(2690,plain,
% 53.49/33.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB11) | (~v113(constB11)) | v112(constB11))),
% 53.49/33.66 inference(quant_inst,[status(thm)],[])).
% 53.49/33.66 tff(2691,plain,
% 53.49/33.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB11) | v112(constB11) | (~v113(constB11))),
% 53.49/33.66 inference(modus_ponens,[status(thm)],[2690, 2689])).
% 53.49/33.66 tff(2692,plain,
% 53.49/33.66 (v26(constB11) | v112(constB11)),
% 53.49/33.66 inference(unit_resolution,[status(thm)],[2691, 1063, 2685])).
% 53.49/33.66 tff(2693,plain,
% 53.49/33.66 (v112(constB11)),
% 53.49/33.66 inference(unit_resolution,[status(thm)],[2692, 837])).
% 53.49/33.66 tff(2694,plain,
% 53.49/33.66 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB11) | (~v112(constB11)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB11) | (~v112(constB11)))),
% 53.49/33.66 inference(rewrite,[status(thm)],[])).
% 53.49/33.66 tff(2695,plain,
% 53.49/33.66 (((~v112(constB11)) | v108(constB11)) <=> (v108(constB11) | (~v112(constB11)))),
% 53.49/33.66 inference(rewrite,[status(thm)],[])).
% 53.49/33.66 tff(2696,plain,
% 53.49/33.66 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB11)) | v108(constB11))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB11) | (~v112(constB11))))),
% 53.49/33.66 inference(monotonicity,[status(thm)],[2695])).
% 53.49/33.66 tff(2697,plain,
% 53.49/33.66 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB11)) | v108(constB11))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB11) | (~v112(constB11)))),
% 53.49/33.66 inference(transitivity,[status(thm)],[2696, 2694])).
% 53.49/33.66 tff(2698,plain,
% 53.49/33.66 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB11)) | v108(constB11))),
% 53.49/33.66 inference(quant_inst,[status(thm)],[])).
% 53.49/33.66 tff(2699,plain,
% 53.49/33.66 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB11) | (~v112(constB11))),
% 53.49/33.66 inference(modus_ponens,[status(thm)],[2698, 2697])).
% 53.49/33.66 tff(2700,plain,
% 53.49/33.66 (v108(constB11)),
% 53.49/33.66 inference(unit_resolution,[status(thm)],[2699, 1075, 2693])).
% 53.49/33.66 tff(2701,plain,
% 53.49/33.66 (nextState(constB11, constB12) <=> nextState(constB11, constB12)),
% 53.49/33.66 inference(rewrite,[status(thm)],[])).
% 53.49/33.66 tff(2702,axiom,(nextState(constB11, constB12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_11_1')).
% 53.49/33.66 tff(2703,plain,
% 53.49/33.66 (nextState(constB11, constB12)),
% 53.49/33.66 inference(modus_ponens,[status(thm)],[2702, 2701])).
% 53.49/33.66 tff(2704,plain,
% 53.49/33.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11)))),
% 53.49/33.66 inference(rewrite,[status(thm)],[])).
% 53.49/33.66 tff(2705,plain,
% 53.49/33.66 (((~nextState(constB11, constB12)) | (~v108(constB11)) | v110(constB12)) <=> ((~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11)))),
% 53.49/33.66 inference(rewrite,[status(thm)],[])).
% 53.49/33.66 tff(2706,plain,
% 53.49/33.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB11, constB12)) | (~v108(constB11)) | v110(constB12))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11))))),
% 53.49/33.66 inference(monotonicity,[status(thm)],[2705])).
% 53.49/33.66 tff(2707,plain,
% 53.49/33.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB11, constB12)) | (~v108(constB11)) | v110(constB12))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11)))),
% 53.49/33.66 inference(transitivity,[status(thm)],[2706, 2704])).
% 53.49/33.66 tff(2708,plain,
% 53.49/33.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB11, constB12)) | (~v108(constB11)) | v110(constB12))),
% 53.49/33.66 inference(quant_inst,[status(thm)],[])).
% 53.49/33.66 tff(2709,plain,
% 53.49/33.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB11, constB12)) | v110(constB12) | (~v108(constB11))),
% 53.49/33.66 inference(modus_ponens,[status(thm)],[2708, 2707])).
% 53.49/33.66 tff(2710,plain,
% 53.49/33.66 (v110(constB12) | (~v108(constB11))),
% 53.49/33.66 inference(unit_resolution,[status(thm)],[2709, 1095, 2703])).
% 53.49/33.66 tff(2711,plain,
% 53.49/33.66 (v110(constB12)),
% 53.49/33.66 inference(unit_resolution,[status(thm)],[2710, 2700])).
% 53.49/33.66 tff(2712,plain,
% 53.49/33.66 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB11) | (~nextState(constB11, constB12)) | (~v104(constB12)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB11) | (~nextState(constB11, constB12)) | (~v104(constB12)))),
% 53.49/33.66 inference(rewrite,[status(thm)],[])).
% 53.49/33.66 tff(2713,plain,
% 53.49/33.66 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB11) | (~nextState(constB11, constB12)) | (~v104(constB12)))),
% 53.49/33.66 inference(quant_inst,[status(thm)],[])).
% 53.49/33.66 tff(2714,plain,
% 53.49/33.66 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB11) | (~nextState(constB11, constB12)) | (~v104(constB12))),
% 53.49/33.66 inference(modus_ponens,[status(thm)],[2713, 2712])).
% 53.49/33.66 tff(2715,plain,
% 53.49/33.66 (~v104(constB12)),
% 53.49/33.66 inference(unit_resolution,[status(thm)],[2714, 1113, 2703, 2550])).
% 53.49/33.66 tff(2716,plain,
% 53.49/33.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB11, constB12)) | v102(constB12) | v104(constB12))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB11, constB12)) | v102(constB12) | v104(constB12))),
% 53.49/33.66 inference(rewrite,[status(thm)],[])).
% 53.49/33.66 tff(2717,plain,
% 53.49/33.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB11, constB12)) | v102(constB12) | v104(constB12))),
% 53.49/33.66 inference(quant_inst,[status(thm)],[])).
% 53.49/33.66 tff(2718,plain,
% 53.49/33.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB11, constB12)) | v102(constB12) | v104(constB12)),
% 53.49/33.66 inference(modus_ponens,[status(thm)],[2717, 2716])).
% 53.49/33.66 tff(2719,plain,
% 53.49/33.66 (v102(constB12) | v104(constB12)),
% 53.49/33.66 inference(unit_resolution,[status(thm)],[2718, 1127, 2703])).
% 53.49/33.66 tff(2720,plain,
% 53.49/33.66 (v102(constB12)),
% 53.49/33.66 inference(unit_resolution,[status(thm)],[2719, 2715])).
% 53.49/33.66 tff(2721,plain,
% 53.49/33.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB11, constB12)) | v101(constB12) | (~v102(constB12)) | (~v1(constB12)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB11, constB12)) | v101(constB12) | (~v102(constB12)) | (~v1(constB12)))),
% 53.49/33.66 inference(rewrite,[status(thm)],[])).
% 53.49/33.66 tff(2722,plain,
% 53.49/33.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB11, constB12)) | v101(constB12) | (~v102(constB12)) | (~v1(constB12)))),
% 53.49/33.66 inference(quant_inst,[status(thm)],[])).
% 53.49/33.66 tff(2723,plain,
% 53.49/33.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB11, constB12)) | v101(constB12) | (~v102(constB12)) | (~v1(constB12))),
% 53.49/33.66 inference(modus_ponens,[status(thm)],[2722, 2721])).
% 53.49/33.66 tff(2724,plain,
% 53.49/33.66 (v101(constB12) | (~v102(constB12))),
% 53.49/33.66 inference(unit_resolution,[status(thm)],[2723, 1145, 2703, 277])).
% 53.49/33.66 tff(2725,plain,
% 53.49/33.66 (v101(constB12)),
% 53.49/33.66 inference(unit_resolution,[status(thm)],[2724, 2720])).
% 53.49/33.66 tff(2726,plain,
% 53.49/33.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12)))),
% 53.49/33.66 inference(rewrite,[status(thm)],[])).
% 53.49/33.66 tff(2727,plain,
% 53.49/33.66 (((~nextState(constB11, constB12)) | (~v101(constB12)) | (~v110(constB12)) | v100(constB12)) <=> ((~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12)))),
% 53.49/33.66 inference(rewrite,[status(thm)],[])).
% 53.49/33.66 tff(2728,plain,
% 53.49/33.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB11, constB12)) | (~v101(constB12)) | (~v110(constB12)) | v100(constB12))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12))))),
% 53.49/33.66 inference(monotonicity,[status(thm)],[2727])).
% 53.49/33.66 tff(2729,plain,
% 53.49/33.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB11, constB12)) | (~v101(constB12)) | (~v110(constB12)) | v100(constB12))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12)))),
% 53.49/33.66 inference(transitivity,[status(thm)],[2728, 2726])).
% 53.49/33.66 tff(2730,plain,
% 53.49/33.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB11, constB12)) | (~v101(constB12)) | (~v110(constB12)) | v100(constB12))),
% 53.49/33.66 inference(quant_inst,[status(thm)],[])).
% 53.49/33.66 tff(2731,plain,
% 53.49/33.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB11, constB12)) | v100(constB12) | (~v101(constB12)) | (~v110(constB12))),
% 53.49/33.66 inference(modus_ponens,[status(thm)],[2730, 2729])).
% 53.49/33.66 tff(2732,plain,
% 53.49/33.66 (v100(constB12) | (~v101(constB12)) | (~v110(constB12))),
% 53.49/33.66 inference(unit_resolution,[status(thm)],[2731, 1160, 2703])).
% 53.49/33.66 tff(2733,plain,
% 53.49/33.66 (v100(constB12) | (~v110(constB12))),
% 53.49/33.66 inference(unit_resolution,[status(thm)],[2732, 2725])).
% 53.49/33.66 tff(2734,plain,
% 53.49/33.66 (v100(constB12)),
% 53.49/33.66 inference(unit_resolution,[status(thm)],[2733, 2711])).
% 53.49/33.66 tff(2735,plain,
% 53.49/33.66 (^[VarCurr: state_type] : refl(((~v124(VarCurr)) | v130(VarCurr, 2)) <=> ((~v124(VarCurr)) | v130(VarCurr, 2)))),
% 53.49/33.66 inference(bind,[status(th)],[])).
% 53.49/33.66 tff(2736,plain,
% 53.49/33.66 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))),
% 53.49/33.66 inference(quant_intro,[status(thm)],[2735])).
% 53.49/33.66 tff(2737,plain,
% 53.49/33.66 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))),
% 53.49/33.66 inference(rewrite,[status(thm)],[])).
% 53.49/33.66 tff(2738,axiom,(![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5_1_3')).
% 53.49/33.66 tff(2739,plain,
% 53.49/33.66 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))),
% 53.49/33.66 inference(modus_ponens,[status(thm)],[2738, 2737])).
% 53.49/33.66 tff(2740,plain,(
% 53.49/33.66 ![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))),
% 53.49/33.66 inference(skolemize,[status(sab)],[2739])).
% 53.49/33.66 tff(2741,plain,
% 53.49/33.66 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))),
% 53.49/33.66 inference(modus_ponens,[status(thm)],[2740, 2736])).
% 53.49/33.66 tff(2742,plain,
% 53.49/33.66 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB11)) | v130(constB11, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB11)) | v130(constB11, 2))),
% 53.49/33.66 inference(rewrite,[status(thm)],[])).
% 53.49/33.66 tff(2743,plain,
% 53.49/33.66 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB11)) | v130(constB11, 2))),
% 53.49/33.66 inference(quant_inst,[status(thm)],[])).
% 53.49/33.66 tff(2744,plain,
% 53.49/33.66 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB11)) | v130(constB11, 2)),
% 53.49/33.66 inference(modus_ponens,[status(thm)],[2743, 2742])).
% 53.49/33.66 tff(2745,plain,
% 53.49/33.66 (v130(constB11, 2)),
% 53.49/33.66 inference(unit_resolution,[status(thm)],[2744, 2741, 2667])).
% 53.49/33.66 tff(2746,plain,
% 53.49/33.66 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB11) | (~v130(constB11, 2)) | v127(constB11, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB11) | (~v130(constB11, 2)) | v127(constB11, 2))),
% 53.49/33.66 inference(rewrite,[status(thm)],[])).
% 53.49/33.66 tff(2747,plain,
% 53.49/33.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB11) | (~v130(constB11, 2)) | v127(constB11, 2))),
% 53.49/33.66 inference(quant_inst,[status(thm)],[])).
% 53.49/33.66 tff(2748,plain,
% 53.49/33.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB11) | (~v130(constB11, 2)) | v127(constB11, 2)),
% 53.49/33.66 inference(modus_ponens,[status(thm)],[2747, 2746])).
% 53.49/33.66 tff(2749,plain,
% 53.49/33.66 (v26(constB11) | v127(constB11, 2)),
% 53.49/33.66 inference(unit_resolution,[status(thm)],[2748, 1981, 2745])).
% 53.49/33.66 tff(2750,plain,
% 53.49/33.66 (v127(constB11, 2)),
% 53.49/33.66 inference(unit_resolution,[status(thm)],[2749, 837])).
% 53.49/33.66 tff(2751,plain,
% 53.49/33.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB11, constB12)) | (~v127(constB11, 2)) | v129(constB12, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB11, constB12)) | (~v127(constB11, 2)) | v129(constB12, 2))),
% 53.49/33.66 inference(rewrite,[status(thm)],[])).
% 53.49/33.66 tff(2752,plain,
% 53.49/33.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB11, constB12)) | (~v127(constB11, 2)) | v129(constB12, 2))),
% 53.49/33.66 inference(quant_inst,[status(thm)],[])).
% 53.49/33.66 tff(2753,plain,
% 53.49/33.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB11, constB12)) | (~v127(constB11, 2)) | v129(constB12, 2)),
% 53.49/33.66 inference(modus_ponens,[status(thm)],[2752, 2751])).
% 53.49/33.66 tff(2754,plain,
% 53.49/33.66 ((~v127(constB11, 2)) | v129(constB12, 2)),
% 53.49/33.66 inference(unit_resolution,[status(thm)],[2753, 1999, 2703])).
% 53.49/33.66 tff(2755,plain,
% 53.49/33.66 (v129(constB12, 2)),
% 53.49/33.66 inference(unit_resolution,[status(thm)],[2754, 2750])).
% 53.49/33.66 tff(2756,plain,
% 53.49/33.66 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB12, 2) | (~v129(constB12, 2)) | (~v100(constB12)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB12, 2) | (~v129(constB12, 2)) | (~v100(constB12)))),
% 53.49/33.66 inference(rewrite,[status(thm)],[])).
% 53.49/33.66 tff(2757,plain,
% 53.49/33.66 ((v90(constB12, 2) | (~v100(constB12)) | (~v129(constB12, 2))) <=> (v90(constB12, 2) | (~v129(constB12, 2)) | (~v100(constB12)))),
% 53.49/33.66 inference(rewrite,[status(thm)],[])).
% 53.49/33.66 tff(2758,plain,
% 53.49/33.66 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB12, 2) | (~v100(constB12)) | (~v129(constB12, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB12, 2) | (~v129(constB12, 2)) | (~v100(constB12))))),
% 53.49/33.66 inference(monotonicity,[status(thm)],[2757])).
% 53.49/33.66 tff(2759,plain,
% 53.49/33.66 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB12, 2) | (~v100(constB12)) | (~v129(constB12, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB12, 2) | (~v129(constB12, 2)) | (~v100(constB12)))),
% 53.49/33.66 inference(transitivity,[status(thm)],[2758, 2756])).
% 53.49/33.66 tff(2760,plain,
% 53.49/33.66 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB12, 2) | (~v100(constB12)) | (~v129(constB12, 2)))),
% 53.49/33.66 inference(quant_inst,[status(thm)],[])).
% 53.49/33.66 tff(2761,plain,
% 53.49/33.66 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB12, 2) | (~v129(constB12, 2)) | (~v100(constB12))),
% 53.49/33.66 inference(modus_ponens,[status(thm)],[2760, 2759])).
% 53.49/33.66 tff(2762,plain,
% 53.49/33.66 (v90(constB12, 2) | (~v100(constB12))),
% 53.49/33.66 inference(unit_resolution,[status(thm)],[2761, 2324, 2755])).
% 53.49/33.66 tff(2763,plain,
% 53.49/33.66 (v90(constB12, 2)),
% 53.49/33.66 inference(unit_resolution,[status(thm)],[2762, 2734])).
% 53.49/33.66 tff(2764,plain,
% 53.49/33.66 ((~v1(constB13)) <=> (~v1(constB13))),
% 53.49/33.66 inference(rewrite,[status(thm)],[])).
% 53.49/33.66 tff(2765,axiom,(~v1(constB13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_13_1_1')).
% 53.49/33.66 tff(2766,plain,
% 53.49/33.66 (~v1(constB13)),
% 53.49/33.66 inference(modus_ponens,[status(thm)],[2765, 2764])).
% 53.49/33.66 tff(2767,plain,
% 53.49/33.66 (nextState(constB12, constB13) <=> nextState(constB12, constB13)),
% 53.49/33.66 inference(rewrite,[status(thm)],[])).
% 53.49/33.66 tff(2768,axiom,(nextState(constB12, constB13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_12_1')).
% 53.49/33.66 tff(2769,plain,
% 53.49/33.66 (nextState(constB12, constB13)),
% 53.49/33.66 inference(modus_ponens,[status(thm)],[2768, 2767])).
% 53.49/33.66 tff(2770,plain,
% 53.49/33.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13)))),
% 53.49/33.66 inference(rewrite,[status(thm)],[])).
% 53.49/33.66 tff(2771,plain,
% 53.49/33.66 (((~nextState(constB12, constB13)) | (~v101(constB13)) | v1(constB13)) <=> (v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13)))),
% 53.49/33.66 inference(rewrite,[status(thm)],[])).
% 53.49/33.66 tff(2772,plain,
% 53.49/33.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB12, constB13)) | (~v101(constB13)) | v1(constB13))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13))))),
% 53.49/33.66 inference(monotonicity,[status(thm)],[2771])).
% 53.49/33.66 tff(2773,plain,
% 53.49/33.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB12, constB13)) | (~v101(constB13)) | v1(constB13))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13)))),
% 53.49/33.66 inference(transitivity,[status(thm)],[2772, 2770])).
% 53.49/33.66 tff(2774,plain,
% 53.49/33.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB12, constB13)) | (~v101(constB13)) | v1(constB13))),
% 53.49/33.66 inference(quant_inst,[status(thm)],[])).
% 53.49/33.66 tff(2775,plain,
% 53.49/33.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB13) | (~nextState(constB12, constB13)) | (~v101(constB13))),
% 53.49/33.66 inference(modus_ponens,[status(thm)],[2774, 2773])).
% 53.49/33.66 tff(2776,plain,
% 53.49/33.66 (~v101(constB13)),
% 53.49/33.66 inference(unit_resolution,[status(thm)],[2775, 873, 2769, 2766])).
% 53.49/33.66 tff(2777,plain,
% 53.49/33.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB12, constB13)) | v101(constB13) | (~v100(constB13)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB12, constB13)) | v101(constB13) | (~v100(constB13)))),
% 53.49/33.66 inference(rewrite,[status(thm)],[])).
% 53.49/33.66 tff(2778,plain,
% 53.49/33.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB12, constB13)) | v101(constB13) | (~v100(constB13)))),
% 53.49/33.66 inference(quant_inst,[status(thm)],[])).
% 53.49/33.66 tff(2779,plain,
% 53.49/33.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB12, constB13)) | v101(constB13) | (~v100(constB13))),
% 53.49/33.66 inference(modus_ponens,[status(thm)],[2778, 2777])).
% 53.49/33.66 tff(2780,plain,
% 53.49/33.66 (v101(constB13) | (~v100(constB13))),
% 53.49/33.66 inference(unit_resolution,[status(thm)],[2779, 890, 2769])).
% 53.49/33.66 tff(2781,plain,
% 53.49/33.66 (~v100(constB13)),
% 53.49/33.66 inference(unit_resolution,[status(thm)],[2780, 2776])).
% 53.49/33.66 tff(2782,plain,
% 53.49/33.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB12, 2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB12, 2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, 2))),
% 53.49/33.66 inference(rewrite,[status(thm)],[])).
% 53.49/33.66 tff(2783,plain,
% 53.49/33.66 (((~nextState(constB12, constB13)) | (~v90(constB12, 2)) | v100(constB13) | v90(constB13, 2)) <=> ((~v90(constB12, 2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, 2))),
% 53.49/33.66 inference(rewrite,[status(thm)],[])).
% 53.49/33.66 tff(2784,plain,
% 53.49/33.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB12, constB13)) | (~v90(constB12, 2)) | v100(constB13) | v90(constB13, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB12, 2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, 2)))),
% 53.49/33.66 inference(monotonicity,[status(thm)],[2783])).
% 53.49/33.66 tff(2785,plain,
% 53.49/33.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB12, constB13)) | (~v90(constB12, 2)) | v100(constB13) | v90(constB13, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB12, 2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, 2))),
% 53.49/33.66 inference(transitivity,[status(thm)],[2784, 2782])).
% 53.49/33.66 tff(2786,plain,
% 53.49/33.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB12, constB13)) | (~v90(constB12, 2)) | v100(constB13) | v90(constB13, 2))),
% 53.49/33.66 inference(quant_inst,[status(thm)],[])).
% 53.49/33.66 tff(2787,plain,
% 53.49/33.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB12, 2)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, 2)),
% 53.49/33.66 inference(modus_ponens,[status(thm)],[2786, 2785])).
% 53.49/33.66 tff(2788,plain,
% 53.49/33.66 ((~v90(constB12, 2)) | v100(constB13) | v90(constB13, 2)),
% 53.49/33.66 inference(unit_resolution,[status(thm)],[2787, 2174, 2769])).
% 53.49/33.66 tff(2789,plain,
% 53.49/33.66 ((~v90(constB12, 2)) | v90(constB13, 2)),
% 53.49/33.66 inference(unit_resolution,[status(thm)],[2788, 2781])).
% 53.49/33.66 tff(2790,plain,
% 53.49/33.66 (v90(constB13, 2)),
% 53.49/33.66 inference(unit_resolution,[status(thm)],[2789, 2763])).
% 53.49/33.66 tff(2791,plain,
% 53.49/33.66 (^[VarCurr: state_type] : refl(((~v122(VarCurr)) | (~v90(VarCurr, 2))) <=> ((~v122(VarCurr)) | (~v90(VarCurr, 2))))),
% 53.49/33.66 inference(bind,[status(th)],[])).
% 53.49/33.66 tff(2792,plain,
% 53.49/33.66 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))),
% 53.49/33.66 inference(quant_intro,[status(thm)],[2791])).
% 53.49/33.66 tff(2793,plain,
% 53.49/33.66 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))),
% 53.49/33.66 inference(rewrite,[status(thm)],[])).
% 53.49/33.66 tff(2794,axiom,(![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_4')).
% 53.49/33.66 tff(2795,plain,
% 53.49/33.66 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))),
% 53.49/33.66 inference(modus_ponens,[status(thm)],[2794, 2793])).
% 53.49/33.66 tff(2796,plain,(
% 53.49/33.66 ![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))),
% 53.49/33.66 inference(skolemize,[status(sab)],[2795])).
% 53.49/33.66 tff(2797,plain,
% 53.49/33.66 (![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))),
% 53.49/33.66 inference(modus_ponens,[status(thm)],[2796, 2792])).
% 53.49/33.66 tff(2798,plain,
% 53.49/33.66 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB13)) | (~v90(constB13, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB13)) | (~v90(constB13, 2)))),
% 53.49/33.66 inference(rewrite,[status(thm)],[])).
% 53.49/33.66 tff(2799,plain,
% 53.49/33.66 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB13)) | (~v90(constB13, 2)))),
% 53.49/33.66 inference(quant_inst,[status(thm)],[])).
% 53.49/33.66 tff(2800,plain,
% 53.49/33.66 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB13)) | (~v90(constB13, 2))),
% 53.49/33.66 inference(modus_ponens,[status(thm)],[2799, 2798])).
% 53.49/33.66 tff(2801,plain,
% 53.49/33.66 (~v122(constB13)),
% 53.49/33.66 inference(unit_resolution,[status(thm)],[2800, 2797, 2790])).
% 53.49/33.66 tff(2802,plain,
% 53.49/33.66 (^[VarCurr: state_type] : refl(((~v124(VarCurr)) | v130(VarCurr, 1)) <=> ((~v124(VarCurr)) | v130(VarCurr, 1)))),
% 53.49/33.66 inference(bind,[status(th)],[])).
% 53.49/33.66 tff(2803,plain,
% 53.49/33.66 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))),
% 53.49/33.66 inference(quant_intro,[status(thm)],[2802])).
% 53.49/33.66 tff(2804,plain,
% 53.49/33.66 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))),
% 53.49/33.66 inference(rewrite,[status(thm)],[])).
% 53.49/33.66 tff(2805,axiom,(![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5_1_2')).
% 53.49/33.66 tff(2806,plain,
% 53.49/33.66 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))),
% 53.49/33.66 inference(modus_ponens,[status(thm)],[2805, 2804])).
% 53.49/33.66 tff(2807,plain,(
% 53.49/33.66 ![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))),
% 53.49/33.66 inference(skolemize,[status(sab)],[2806])).
% 53.49/33.66 tff(2808,plain,
% 53.49/33.66 (![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))),
% 53.49/33.66 inference(modus_ponens,[status(thm)],[2807, 2803])).
% 53.49/33.66 tff(2809,plain,
% 53.49/33.66 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB11)) | v130(constB11, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB11)) | v130(constB11, 1))),
% 53.49/33.66 inference(rewrite,[status(thm)],[])).
% 53.49/33.66 tff(2810,plain,
% 53.49/33.66 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB11)) | v130(constB11, 1))),
% 53.49/33.66 inference(quant_inst,[status(thm)],[])).
% 53.49/33.66 tff(2811,plain,
% 53.49/33.66 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB11)) | v130(constB11, 1)),
% 53.49/33.66 inference(modus_ponens,[status(thm)],[2810, 2809])).
% 53.49/33.66 tff(2812,plain,
% 53.49/33.66 (v130(constB11, 1)),
% 53.49/33.66 inference(unit_resolution,[status(thm)],[2811, 2808, 2667])).
% 53.49/33.66 tff(2813,plain,
% 53.49/33.66 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB11) | (~v130(constB11, 1)) | v127(constB11, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB11) | (~v130(constB11, 1)) | v127(constB11, 1))),
% 53.49/33.66 inference(rewrite,[status(thm)],[])).
% 53.49/33.66 tff(2814,plain,
% 53.49/33.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB11) | (~v130(constB11, 1)) | v127(constB11, 1))),
% 53.49/33.66 inference(quant_inst,[status(thm)],[])).
% 53.49/33.66 tff(2815,plain,
% 53.49/33.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB11) | (~v130(constB11, 1)) | v127(constB11, 1)),
% 53.49/33.66 inference(modus_ponens,[status(thm)],[2814, 2813])).
% 53.49/33.66 tff(2816,plain,
% 53.49/33.66 (v26(constB11) | v127(constB11, 1)),
% 53.49/33.66 inference(unit_resolution,[status(thm)],[2815, 1593, 2812])).
% 53.49/33.66 tff(2817,plain,
% 53.49/33.66 (v127(constB11, 1)),
% 53.49/33.66 inference(unit_resolution,[status(thm)],[2816, 837])).
% 53.49/33.66 tff(2818,plain,
% 53.49/33.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB11, constB12)) | (~v127(constB11, 1)) | v129(constB12, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB11, constB12)) | (~v127(constB11, 1)) | v129(constB12, 1))),
% 53.49/33.66 inference(rewrite,[status(thm)],[])).
% 53.49/33.66 tff(2819,plain,
% 53.49/33.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB11, constB12)) | (~v127(constB11, 1)) | v129(constB12, 1))),
% 53.49/33.66 inference(quant_inst,[status(thm)],[])).
% 53.49/33.66 tff(2820,plain,
% 53.49/33.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB11, constB12)) | (~v127(constB11, 1)) | v129(constB12, 1)),
% 53.49/33.66 inference(modus_ponens,[status(thm)],[2819, 2818])).
% 53.49/33.66 tff(2821,plain,
% 53.49/33.66 ((~v127(constB11, 1)) | v129(constB12, 1)),
% 53.49/33.66 inference(unit_resolution,[status(thm)],[2820, 1608, 2703])).
% 53.49/33.66 tff(2822,plain,
% 53.49/33.66 (v129(constB12, 1)),
% 53.49/33.66 inference(unit_resolution,[status(thm)],[2821, 2817])).
% 53.49/33.66 tff(2823,plain,
% 53.49/33.66 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB12, 1) | (~v129(constB12, 1)) | (~v100(constB12)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB12, 1) | (~v129(constB12, 1)) | (~v100(constB12)))),
% 53.49/33.66 inference(rewrite,[status(thm)],[])).
% 53.49/33.66 tff(2824,plain,
% 53.49/33.66 ((v90(constB12, 1) | (~v100(constB12)) | (~v129(constB12, 1))) <=> (v90(constB12, 1) | (~v129(constB12, 1)) | (~v100(constB12)))),
% 53.49/33.66 inference(rewrite,[status(thm)],[])).
% 53.49/33.66 tff(2825,plain,
% 53.49/33.66 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB12, 1) | (~v100(constB12)) | (~v129(constB12, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB12, 1) | (~v129(constB12, 1)) | (~v100(constB12))))),
% 53.49/33.66 inference(monotonicity,[status(thm)],[2824])).
% 53.49/33.66 tff(2826,plain,
% 53.49/33.66 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB12, 1) | (~v100(constB12)) | (~v129(constB12, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB12, 1) | (~v129(constB12, 1)) | (~v100(constB12)))),
% 53.49/33.66 inference(transitivity,[status(thm)],[2825, 2823])).
% 53.49/33.66 tff(2827,plain,
% 53.49/33.66 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB12, 1) | (~v100(constB12)) | (~v129(constB12, 1)))),
% 53.49/33.66 inference(quant_inst,[status(thm)],[])).
% 53.49/33.66 tff(2828,plain,
% 53.49/33.66 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB12, 1) | (~v129(constB12, 1)) | (~v100(constB12))),
% 53.49/33.66 inference(modus_ponens,[status(thm)],[2827, 2826])).
% 53.49/33.66 tff(2829,plain,
% 53.49/33.66 (v90(constB12, 1) | (~v100(constB12))),
% 53.49/33.66 inference(unit_resolution,[status(thm)],[2828, 1623, 2822])).
% 53.49/33.66 tff(2830,plain,
% 53.49/33.66 (v90(constB12, 1)),
% 53.49/33.66 inference(unit_resolution,[status(thm)],[2829, 2734])).
% 53.49/33.66 tff(2831,plain,
% 53.49/33.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB12, 1)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB12, 1)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, 1))),
% 53.49/33.66 inference(rewrite,[status(thm)],[])).
% 53.49/33.66 tff(2832,plain,
% 53.49/33.66 (((~nextState(constB12, constB13)) | (~v90(constB12, 1)) | v100(constB13) | v90(constB13, 1)) <=> ((~v90(constB12, 1)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, 1))),
% 53.49/33.66 inference(rewrite,[status(thm)],[])).
% 53.49/33.66 tff(2833,plain,
% 53.49/33.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB12, constB13)) | (~v90(constB12, 1)) | v100(constB13) | v90(constB13, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB12, 1)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, 1)))),
% 53.49/33.66 inference(monotonicity,[status(thm)],[2832])).
% 53.49/33.66 tff(2834,plain,
% 53.49/33.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB12, constB13)) | (~v90(constB12, 1)) | v100(constB13) | v90(constB13, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB12, 1)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, 1))),
% 53.49/33.66 inference(transitivity,[status(thm)],[2833, 2831])).
% 53.49/33.66 tff(2835,plain,
% 53.49/33.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB12, constB13)) | (~v90(constB12, 1)) | v100(constB13) | v90(constB13, 1))),
% 53.49/33.66 inference(quant_inst,[status(thm)],[])).
% 53.49/33.66 tff(2836,plain,
% 53.49/33.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB12, 1)) | (~nextState(constB12, constB13)) | v100(constB13) | v90(constB13, 1)),
% 53.49/33.66 inference(modus_ponens,[status(thm)],[2835, 2834])).
% 53.49/33.66 tff(2837,plain,
% 53.49/33.66 ((~v90(constB12, 1)) | v100(constB13) | v90(constB13, 1)),
% 53.49/33.66 inference(unit_resolution,[status(thm)],[2836, 1641, 2769])).
% 53.49/33.66 tff(2838,plain,
% 53.49/33.66 ((~v90(constB12, 1)) | v90(constB13, 1)),
% 53.49/33.66 inference(unit_resolution,[status(thm)],[2837, 2781])).
% 53.49/33.66 tff(2839,plain,
% 53.49/33.66 (v90(constB13, 1)),
% 53.49/33.66 inference(unit_resolution,[status(thm)],[2838, 2830])).
% 53.49/33.66 tff(2840,plain,
% 53.49/33.66 (^[VarCurr: state_type] : refl(((~v120(VarCurr)) | (~v90(VarCurr, 1))) <=> ((~v120(VarCurr)) | (~v90(VarCurr, 1))))),
% 53.49/33.67 inference(bind,[status(th)],[])).
% 53.49/33.67 tff(2841,plain,
% 53.49/33.67 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))),
% 53.49/33.67 inference(quant_intro,[status(thm)],[2840])).
% 53.49/33.67 tff(2842,plain,
% 53.49/33.67 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))),
% 53.49/33.67 inference(rewrite,[status(thm)],[])).
% 53.49/33.67 tff(2843,axiom,(![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3_1_1_4')).
% 53.49/33.67 tff(2844,plain,
% 53.49/33.67 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))),
% 53.49/33.67 inference(modus_ponens,[status(thm)],[2843, 2842])).
% 53.49/33.67 tff(2845,plain,(
% 53.49/33.67 ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))),
% 53.49/33.67 inference(skolemize,[status(sab)],[2844])).
% 53.49/33.67 tff(2846,plain,
% 53.49/33.67 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))),
% 53.49/33.67 inference(modus_ponens,[status(thm)],[2845, 2841])).
% 53.49/33.67 tff(2847,plain,
% 53.49/33.67 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB13)) | (~v90(constB13, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB13)) | (~v90(constB13, 1)))),
% 53.49/33.67 inference(rewrite,[status(thm)],[])).
% 53.49/33.67 tff(2848,plain,
% 53.49/33.67 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB13)) | (~v90(constB13, 1)))),
% 53.49/33.67 inference(quant_inst,[status(thm)],[])).
% 53.49/33.67 tff(2849,plain,
% 53.49/33.67 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB13)) | (~v90(constB13, 1))),
% 53.49/33.67 inference(modus_ponens,[status(thm)],[2848, 2847])).
% 53.49/33.67 tff(2850,plain,
% 53.49/33.67 (~v120(constB13)),
% 53.49/33.67 inference(unit_resolution,[status(thm)],[2849, 2846, 2839])).
% 53.49/33.67 tff(2851,plain,
% 53.49/33.67 (^[VarCurr: state_type] : refl(((~v121(VarCurr)) | (~v90(VarCurr, 2))) <=> ((~v121(VarCurr)) | (~v90(VarCurr, 2))))),
% 53.49/33.67 inference(bind,[status(th)],[])).
% 53.49/33.67 tff(2852,plain,
% 53.49/33.67 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))),
% 53.49/33.67 inference(quant_intro,[status(thm)],[2851])).
% 53.49/33.67 tff(2853,plain,
% 53.49/33.67 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))),
% 53.49/33.67 inference(rewrite,[status(thm)],[])).
% 53.49/33.67 tff(2854,axiom,(![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_3')).
% 53.49/33.67 tff(2855,plain,
% 53.49/33.67 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))),
% 53.49/33.67 inference(modus_ponens,[status(thm)],[2854, 2853])).
% 53.49/33.67 tff(2856,plain,(
% 53.49/33.67 ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))),
% 53.49/33.67 inference(skolemize,[status(sab)],[2855])).
% 53.49/33.67 tff(2857,plain,
% 53.49/33.67 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))),
% 53.49/33.67 inference(modus_ponens,[status(thm)],[2856, 2852])).
% 53.49/33.67 tff(2858,plain,
% 53.49/33.67 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB13)) | (~v90(constB13, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB13)) | (~v90(constB13, 2)))),
% 53.49/33.67 inference(rewrite,[status(thm)],[])).
% 53.49/33.67 tff(2859,plain,
% 53.49/33.67 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB13)) | (~v90(constB13, 2)))),
% 53.49/33.67 inference(quant_inst,[status(thm)],[])).
% 53.49/33.67 tff(2860,plain,
% 53.49/33.67 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB13)) | (~v90(constB13, 2))),
% 53.49/33.67 inference(modus_ponens,[status(thm)],[2859, 2858])).
% 53.49/33.67 tff(2861,plain,
% 53.49/33.67 (~v121(constB13)),
% 53.49/33.67 inference(unit_resolution,[status(thm)],[2860, 2857, 2790])).
% 53.49/33.67 tff(2862,plain,
% 53.49/33.67 (^[VarCurr: state_type] : refl(((~v119(VarCurr)) | (~v90(VarCurr, 1))) <=> ((~v119(VarCurr)) | (~v90(VarCurr, 1))))),
% 53.49/33.67 inference(bind,[status(th)],[])).
% 53.49/33.67 tff(2863,plain,
% 53.49/33.67 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))),
% 53.49/33.67 inference(quant_intro,[status(thm)],[2862])).
% 53.49/33.67 tff(2864,plain,
% 53.49/33.67 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))),
% 53.49/33.67 inference(rewrite,[status(thm)],[])).
% 53.49/33.67 tff(2865,axiom,(![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_3')).
% 53.49/33.67 tff(2866,plain,
% 53.49/33.67 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))),
% 53.49/33.67 inference(modus_ponens,[status(thm)],[2865, 2864])).
% 53.49/33.67 tff(2867,plain,(
% 53.49/33.67 ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))),
% 53.49/33.67 inference(skolemize,[status(sab)],[2866])).
% 53.49/33.67 tff(2868,plain,
% 53.49/33.67 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))),
% 53.49/33.67 inference(modus_ponens,[status(thm)],[2867, 2863])).
% 53.49/33.67 tff(2869,plain,
% 53.49/33.67 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB13)) | (~v90(constB13, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB13)) | (~v90(constB13, 1)))),
% 53.49/33.67 inference(rewrite,[status(thm)],[])).
% 53.49/33.67 tff(2870,plain,
% 53.49/33.67 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB13)) | (~v90(constB13, 1)))),
% 53.49/33.67 inference(quant_inst,[status(thm)],[])).
% 53.49/33.67 tff(2871,plain,
% 53.49/33.67 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB13)) | (~v90(constB13, 1))),
% 53.49/33.67 inference(modus_ponens,[status(thm)],[2870, 2869])).
% 53.49/33.67 tff(2872,plain,
% 53.49/33.67 (~v119(constB13)),
% 53.49/33.67 inference(unit_resolution,[status(thm)],[2871, 2868, 2839])).
% 53.49/33.67 tff(2873,plain,
% 53.49/33.67 (^[VarCurr: state_type] : refl(((~v123(VarCurr)) | (~v90(VarCurr, 1))) <=> ((~v123(VarCurr)) | (~v90(VarCurr, 1))))),
% 53.49/33.67 inference(bind,[status(th)],[])).
% 53.49/33.67 tff(2874,plain,
% 53.49/33.67 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))),
% 53.49/33.67 inference(quant_intro,[status(thm)],[2873])).
% 53.49/33.67 tff(2875,plain,
% 53.49/33.67 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))),
% 53.49/33.67 inference(rewrite,[status(thm)],[])).
% 53.49/33.67 tff(2876,axiom,(![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_6_1_1_3')).
% 53.49/33.67 tff(2877,plain,
% 53.49/33.67 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))),
% 53.49/33.67 inference(modus_ponens,[status(thm)],[2876, 2875])).
% 53.49/33.67 tff(2878,plain,(
% 53.49/33.67 ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))),
% 53.49/33.67 inference(skolemize,[status(sab)],[2877])).
% 53.49/33.67 tff(2879,plain,
% 53.49/33.67 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))),
% 53.49/33.67 inference(modus_ponens,[status(thm)],[2878, 2874])).
% 53.49/33.67 tff(2880,plain,
% 53.49/33.67 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB13)) | (~v90(constB13, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB13)) | (~v90(constB13, 1)))),
% 53.49/33.67 inference(rewrite,[status(thm)],[])).
% 53.49/33.67 tff(2881,plain,
% 53.49/33.67 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB13)) | (~v90(constB13, 1)))),
% 53.49/33.67 inference(quant_inst,[status(thm)],[])).
% 53.49/33.67 tff(2882,plain,
% 53.49/33.67 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB13)) | (~v90(constB13, 1))),
% 53.49/33.67 inference(modus_ponens,[status(thm)],[2881, 2880])).
% 53.49/33.67 tff(2883,plain,
% 53.49/33.67 (~v123(constB13)),
% 53.49/33.67 inference(unit_resolution,[status(thm)],[2882, 2879, 2839])).
% 53.49/33.67 tff(2884,plain,
% 53.49/33.67 (^[VarCurr: state_type] : refl(((~v124(VarCurr)) | (~v90(VarCurr, 1))) <=> ((~v124(VarCurr)) | (~v90(VarCurr, 1))))),
% 53.49/33.67 inference(bind,[status(th)],[])).
% 53.49/33.67 tff(2885,plain,
% 53.49/33.67 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))),
% 53.49/33.67 inference(quant_intro,[status(thm)],[2884])).
% 53.49/33.67 tff(2886,plain,
% 53.49/33.67 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))),
% 53.49/33.67 inference(rewrite,[status(thm)],[])).
% 53.49/33.67 tff(2887,axiom,(![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_4')).
% 53.49/33.67 tff(2888,plain,
% 53.49/33.67 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))),
% 53.49/33.67 inference(modus_ponens,[status(thm)],[2887, 2886])).
% 53.49/33.67 tff(2889,plain,(
% 53.49/33.67 ![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))),
% 53.49/33.67 inference(skolemize,[status(sab)],[2888])).
% 53.49/33.67 tff(2890,plain,
% 53.49/33.67 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))),
% 53.49/33.67 inference(modus_ponens,[status(thm)],[2889, 2885])).
% 53.49/33.67 tff(2891,plain,
% 53.49/33.67 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB13)) | (~v90(constB13, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB13)) | (~v90(constB13, 1)))),
% 53.49/33.67 inference(rewrite,[status(thm)],[])).
% 53.49/33.67 tff(2892,plain,
% 53.49/33.67 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB13)) | (~v90(constB13, 1)))),
% 53.49/33.67 inference(quant_inst,[status(thm)],[])).
% 53.49/33.67 tff(2893,plain,
% 53.49/33.67 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB13)) | (~v90(constB13, 1))),
% 53.49/33.67 inference(modus_ponens,[status(thm)],[2892, 2891])).
% 53.49/33.67 tff(2894,plain,
% 53.49/33.67 (~v124(constB13)),
% 53.49/33.67 inference(unit_resolution,[status(thm)],[2893, 2890, 2839])).
% 53.49/33.67 tff(2895,plain,
% 53.49/33.67 (^[VarCurr: state_type] : refl((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2))) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2))))),
% 53.49/33.67 inference(bind,[status(th)],[])).
% 53.49/33.67 tff(2896,plain,
% 53.49/33.67 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2))) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))),
% 53.49/33.67 inference(quant_intro,[status(thm)],[2895])).
% 53.49/33.67 tff(2897,plain,
% 53.49/33.67 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2))) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))),
% 53.49/33.67 inference(rewrite,[status(thm)],[])).
% 53.49/33.67 tff(2898,plain,
% 53.49/33.67 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr))), ((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr)) | v122(VarCurr)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr)) | v122(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr))), ((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr)))), (((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr)) | v123(VarCurr)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr)) | v123(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr))), (((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr)))), ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr)) | v124(VarCurr)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr)) | v124(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr))), ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)))), (((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | (~v130(VarCurr, 2))) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)) | (~v130(VarCurr, 2))))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)) | (~v130(VarCurr, 2))) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))), (((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | (~v130(VarCurr, 2))) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))))),
% 53.49/33.67 inference(bind,[status(th)],[])).
% 53.49/33.67 tff(2899,plain,
% 53.49/33.67 (![VarCurr: state_type] : ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | (~v130(VarCurr, 2))) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))),
% 53.49/33.67 inference(quant_intro,[status(thm)],[2898])).
% 53.49/33.67 tff(2900,axiom,(![VarCurr: state_type] : ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | (~v130(VarCurr, 2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6_1_3')).
% 53.49/33.67 tff(2901,plain,
% 53.49/33.67 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))),
% 53.49/33.67 inference(modus_ponens,[status(thm)],[2900, 2899])).
% 53.49/33.67 tff(2902,plain,
% 53.49/33.67 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))),
% 53.49/33.67 inference(modus_ponens,[status(thm)],[2901, 2897])).
% 53.49/33.67 tff(2903,plain,(
% 53.49/33.67 ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))),
% 53.49/33.67 inference(skolemize,[status(sab)],[2902])).
% 53.49/33.67 tff(2904,plain,
% 53.49/33.67 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))),
% 53.49/33.67 inference(modus_ponens,[status(thm)],[2903, 2896])).
% 53.49/33.67 tff(2905,plain,
% 53.49/33.67 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, 2)))),
% 53.49/33.67 inference(rewrite,[status(thm)],[])).
% 53.49/33.67 tff(2906,plain,
% 53.49/33.67 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, 2)))),
% 53.49/33.67 inference(quant_inst,[status(thm)],[])).
% 53.49/33.67 tff(2907,plain,
% 53.49/33.67 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, 2))),
% 53.49/33.67 inference(modus_ponens,[status(thm)],[2906, 2905])).
% 53.49/33.67 tff(2908,plain,
% 53.49/33.67 (~v130(constB13, 2)),
% 53.49/33.67 inference(unit_resolution,[status(thm)],[2907, 2904, 2894, 2883, 2872, 2861, 2850, 2801])).
% 53.49/33.67 tff(2909,assumption,(v26(constB13)), introduced(assumption)).
% 53.49/33.67 tff(2910,plain,
% 53.49/33.67 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB13))),
% 53.49/33.67 inference(quant_inst,[status(thm)],[])).
% 53.49/33.67 tff(2911,plain,
% 53.49/33.67 ($false),
% 53.49/33.67 inference(unit_resolution,[status(thm)],[2910, 828, 2909])).
% 53.49/33.67 tff(2912,plain,(~v26(constB13)), inference(lemma,lemma(discharge,[]))).
% 53.49/33.67 tff(2913,plain,
% 53.49/33.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB13, 2)) | v26(constB13) | v130(constB13, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB13, 2)) | v26(constB13) | v130(constB13, 2))),
% 53.49/33.67 inference(rewrite,[status(thm)],[])).
% 53.49/33.67 tff(2914,plain,
% 53.49/33.67 ((v26(constB13) | v130(constB13, 2) | (~v127(constB13, 2))) <=> ((~v127(constB13, 2)) | v26(constB13) | v130(constB13, 2))),
% 53.49/33.67 inference(rewrite,[status(thm)],[])).
% 53.49/33.67 tff(2915,plain,
% 53.49/33.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB13) | v130(constB13, 2) | (~v127(constB13, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB13, 2)) | v26(constB13) | v130(constB13, 2)))),
% 53.49/33.67 inference(monotonicity,[status(thm)],[2914])).
% 53.49/33.67 tff(2916,plain,
% 53.49/33.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB13) | v130(constB13, 2) | (~v127(constB13, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB13, 2)) | v26(constB13) | v130(constB13, 2))),
% 53.49/33.67 inference(transitivity,[status(thm)],[2915, 2913])).
% 53.49/33.67 tff(2917,plain,
% 53.49/33.67 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB13) | v130(constB13, 2) | (~v127(constB13, 2)))),
% 53.49/33.67 inference(quant_inst,[status(thm)],[])).
% 53.49/33.67 tff(2918,plain,
% 53.49/33.67 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB13, 2)) | v26(constB13) | v130(constB13, 2)),
% 53.49/33.67 inference(modus_ponens,[status(thm)],[2917, 2916])).
% 53.49/33.67 tff(2919,plain,
% 53.49/33.67 ((~v127(constB13, 2)) | v130(constB13, 2)),
% 53.49/33.67 inference(unit_resolution,[status(thm)],[2918, 1190, 2912])).
% 53.49/33.67 tff(2920,plain,
% 53.49/33.67 (~v127(constB13, 2)),
% 53.49/33.67 inference(unit_resolution,[status(thm)],[2919, 2908])).
% 53.49/33.67 tff(2921,plain,
% 53.49/33.67 (nextState(constB13, constB14) <=> nextState(constB13, constB14)),
% 53.49/33.67 inference(rewrite,[status(thm)],[])).
% 53.49/33.67 tff(2922,axiom,(nextState(constB13, constB14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_13_1')).
% 53.49/33.67 tff(2923,plain,
% 53.49/33.67 (nextState(constB13, constB14)),
% 53.49/33.67 inference(modus_ponens,[status(thm)],[2922, 2921])).
% 53.49/33.67 tff(2924,plain,
% 53.49/33.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB13, constB14)) | v127(constB13, 2) | (~v129(constB14, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB13, constB14)) | v127(constB13, 2) | (~v129(constB14, 2)))),
% 53.49/33.67 inference(rewrite,[status(thm)],[])).
% 53.49/33.67 tff(2925,plain,
% 53.49/33.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB13, constB14)) | v127(constB13, 2) | (~v129(constB14, 2)))),
% 53.49/33.67 inference(quant_inst,[status(thm)],[])).
% 53.49/33.67 tff(2926,plain,
% 53.49/33.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB13, constB14)) | v127(constB13, 2) | (~v129(constB14, 2))),
% 53.49/33.67 inference(modus_ponens,[status(thm)],[2925, 2924])).
% 53.49/33.67 tff(2927,plain,
% 53.49/33.67 (v127(constB13, 2) | (~v129(constB14, 2))),
% 53.49/33.67 inference(unit_resolution,[status(thm)],[2926, 1208, 2923])).
% 53.49/33.67 tff(2928,plain,
% 53.49/33.67 (~v129(constB14, 2)),
% 53.49/33.67 inference(unit_resolution,[status(thm)],[2927, 2920])).
% 53.49/33.67 tff(2929,assumption,(~v100(constB14)), introduced(assumption)).
% 53.49/33.67 tff(2930,plain,
% 53.49/33.67 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB13) | (~nextState(constB13, constB14)) | (~v104(constB14)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB13) | (~nextState(constB13, constB14)) | (~v104(constB14)))),
% 53.49/33.67 inference(rewrite,[status(thm)],[])).
% 53.49/33.67 tff(2931,plain,
% 53.49/33.67 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB13) | (~nextState(constB13, constB14)) | (~v104(constB14)))),
% 53.49/33.67 inference(quant_inst,[status(thm)],[])).
% 53.49/33.67 tff(2932,plain,
% 53.49/33.67 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB13) | (~nextState(constB13, constB14)) | (~v104(constB14))),
% 53.49/33.67 inference(modus_ponens,[status(thm)],[2931, 2930])).
% 53.49/33.67 tff(2933,plain,
% 53.49/33.67 (~v104(constB14)),
% 53.49/33.67 inference(unit_resolution,[status(thm)],[2932, 1113, 2923, 2766])).
% 53.49/33.67 tff(2934,plain,
% 53.49/33.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB13, constB14)) | v102(constB14) | v104(constB14))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB13, constB14)) | v102(constB14) | v104(constB14))),
% 53.49/33.67 inference(rewrite,[status(thm)],[])).
% 53.49/33.67 tff(2935,plain,
% 53.49/33.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB13, constB14)) | v102(constB14) | v104(constB14))),
% 53.49/33.67 inference(quant_inst,[status(thm)],[])).
% 53.49/33.67 tff(2936,plain,
% 53.49/33.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB13, constB14)) | v102(constB14) | v104(constB14)),
% 53.49/33.67 inference(modus_ponens,[status(thm)],[2935, 2934])).
% 53.49/33.67 tff(2937,plain,
% 53.49/33.67 (v102(constB14) | v104(constB14)),
% 53.49/33.67 inference(unit_resolution,[status(thm)],[2936, 1127, 2923])).
% 53.49/33.67 tff(2938,plain,
% 53.49/33.67 (v102(constB14)),
% 53.49/33.67 inference(unit_resolution,[status(thm)],[2937, 2933])).
% 53.49/33.67 tff(2939,plain,
% 53.49/33.67 (v1(constB14) <=> v1(constB14)),
% 53.49/33.67 inference(rewrite,[status(thm)],[])).
% 53.49/33.67 tff(2940,axiom,(v1(constB14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_14_1')).
% 53.49/33.67 tff(2941,plain,
% 53.49/33.67 (v1(constB14)),
% 53.49/33.67 inference(modus_ponens,[status(thm)],[2940, 2939])).
% 53.49/33.67 tff(2942,plain,
% 53.49/33.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB13, constB14)) | v101(constB14) | (~v102(constB14)) | (~v1(constB14)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB13, constB14)) | v101(constB14) | (~v102(constB14)) | (~v1(constB14)))),
% 53.49/33.67 inference(rewrite,[status(thm)],[])).
% 53.49/33.67 tff(2943,plain,
% 53.49/33.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB13, constB14)) | v101(constB14) | (~v102(constB14)) | (~v1(constB14)))),
% 53.49/33.67 inference(quant_inst,[status(thm)],[])).
% 53.49/33.67 tff(2944,plain,
% 53.49/33.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB13, constB14)) | v101(constB14) | (~v102(constB14)) | (~v1(constB14))),
% 53.49/33.67 inference(modus_ponens,[status(thm)],[2943, 2942])).
% 53.49/33.67 tff(2945,plain,
% 53.49/33.67 (v101(constB14) | (~v102(constB14))),
% 53.49/33.67 inference(unit_resolution,[status(thm)],[2944, 1145, 2923, 2941])).
% 53.49/33.67 tff(2946,plain,
% 53.49/33.67 (v101(constB14)),
% 53.49/33.67 inference(unit_resolution,[status(thm)],[2945, 2938])).
% 53.49/33.67 tff(2947,plain,
% 53.49/33.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14)))),
% 53.49/33.67 inference(rewrite,[status(thm)],[])).
% 53.49/33.67 tff(2948,plain,
% 53.49/33.67 (((~nextState(constB13, constB14)) | (~v101(constB14)) | (~v110(constB14)) | v100(constB14)) <=> ((~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14)))),
% 53.49/33.67 inference(rewrite,[status(thm)],[])).
% 53.49/33.67 tff(2949,plain,
% 53.49/33.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB13, constB14)) | (~v101(constB14)) | (~v110(constB14)) | v100(constB14))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14))))),
% 53.49/33.67 inference(monotonicity,[status(thm)],[2948])).
% 53.49/33.67 tff(2950,plain,
% 53.49/33.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB13, constB14)) | (~v101(constB14)) | (~v110(constB14)) | v100(constB14))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14)))),
% 53.49/33.67 inference(transitivity,[status(thm)],[2949, 2947])).
% 53.49/33.67 tff(2951,plain,
% 53.49/33.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB13, constB14)) | (~v101(constB14)) | (~v110(constB14)) | v100(constB14))),
% 53.49/33.67 inference(quant_inst,[status(thm)],[])).
% 53.49/33.67 tff(2952,plain,
% 53.49/33.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB13, constB14)) | v100(constB14) | (~v101(constB14)) | (~v110(constB14))),
% 53.49/33.67 inference(modus_ponens,[status(thm)],[2951, 2950])).
% 53.49/33.67 tff(2953,plain,
% 53.49/33.67 (v100(constB14) | (~v101(constB14)) | (~v110(constB14))),
% 53.49/33.67 inference(unit_resolution,[status(thm)],[2952, 1160, 2923])).
% 53.49/33.67 tff(2954,plain,
% 53.49/33.67 (v100(constB14) | (~v110(constB14))),
% 53.49/33.67 inference(unit_resolution,[status(thm)],[2953, 2946])).
% 53.49/33.67 tff(2955,plain,
% 53.49/33.67 (~v110(constB14)),
% 53.49/33.67 inference(unit_resolution,[status(thm)],[2954, 2929])).
% 53.49/33.67 tff(2956,plain,
% 53.49/33.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13)))),
% 53.49/33.67 inference(rewrite,[status(thm)],[])).
% 53.49/33.67 tff(2957,plain,
% 53.49/33.67 (((~nextState(constB13, constB14)) | (~v108(constB13)) | v110(constB14)) <=> ((~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13)))),
% 53.49/33.67 inference(rewrite,[status(thm)],[])).
% 53.49/33.67 tff(2958,plain,
% 53.49/33.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB13, constB14)) | (~v108(constB13)) | v110(constB14))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13))))),
% 53.49/33.67 inference(monotonicity,[status(thm)],[2957])).
% 53.49/33.67 tff(2959,plain,
% 53.49/33.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB13, constB14)) | (~v108(constB13)) | v110(constB14))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13)))),
% 53.49/33.67 inference(transitivity,[status(thm)],[2958, 2956])).
% 53.49/33.67 tff(2960,plain,
% 53.49/33.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB13, constB14)) | (~v108(constB13)) | v110(constB14))),
% 53.49/33.67 inference(quant_inst,[status(thm)],[])).
% 53.49/33.67 tff(2961,plain,
% 53.49/33.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB13, constB14)) | v110(constB14) | (~v108(constB13))),
% 53.49/33.67 inference(modus_ponens,[status(thm)],[2960, 2959])).
% 53.49/33.67 tff(2962,plain,
% 53.49/33.67 (v110(constB14) | (~v108(constB13))),
% 53.49/33.67 inference(unit_resolution,[status(thm)],[2961, 1095, 2923])).
% 53.49/33.67 tff(2963,plain,
% 53.49/33.67 (~v108(constB13)),
% 53.49/33.67 inference(unit_resolution,[status(thm)],[2962, 2955])).
% 53.49/33.67 tff(2964,plain,
% 53.49/33.67 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB13) | (~v112(constB13)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB13) | (~v112(constB13)))),
% 53.49/33.67 inference(rewrite,[status(thm)],[])).
% 53.49/33.67 tff(2965,plain,
% 53.49/33.67 (((~v112(constB13)) | v108(constB13)) <=> (v108(constB13) | (~v112(constB13)))),
% 53.49/33.67 inference(rewrite,[status(thm)],[])).
% 53.49/33.67 tff(2966,plain,
% 53.49/33.67 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB13)) | v108(constB13))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB13) | (~v112(constB13))))),
% 53.49/33.67 inference(monotonicity,[status(thm)],[2965])).
% 53.49/33.67 tff(2967,plain,
% 53.49/33.67 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB13)) | v108(constB13))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB13) | (~v112(constB13)))),
% 53.49/33.67 inference(transitivity,[status(thm)],[2966, 2964])).
% 53.49/33.67 tff(2968,plain,
% 53.49/33.67 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB13)) | v108(constB13))),
% 53.49/33.67 inference(quant_inst,[status(thm)],[])).
% 53.49/33.67 tff(2969,plain,
% 53.49/33.67 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB13) | (~v112(constB13))),
% 53.49/33.67 inference(modus_ponens,[status(thm)],[2968, 2967])).
% 53.49/33.67 tff(2970,plain,
% 53.49/33.67 (~v112(constB13)),
% 53.49/33.67 inference(unit_resolution,[status(thm)],[2969, 1075, 2963])).
% 53.49/33.67 tff(2971,plain,
% 53.49/33.67 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB13) | (~v113(constB13)) | v112(constB13))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB13) | (~v113(constB13)) | v112(constB13))),
% 53.49/33.67 inference(rewrite,[status(thm)],[])).
% 53.49/33.67 tff(2972,plain,
% 53.49/33.67 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB13) | (~v113(constB13)) | v112(constB13))),
% 53.49/33.67 inference(quant_inst,[status(thm)],[])).
% 53.49/33.67 tff(2973,plain,
% 53.49/33.67 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB13) | (~v113(constB13)) | v112(constB13)),
% 53.49/33.67 inference(modus_ponens,[status(thm)],[2972, 2971])).
% 53.49/33.67 tff(2974,plain,
% 53.49/33.67 ((~v113(constB13)) | v112(constB13)),
% 53.49/33.67 inference(unit_resolution,[status(thm)],[2973, 1063, 2912])).
% 53.49/33.67 tff(2975,plain,
% 53.49/33.67 (~v113(constB13)),
% 53.49/33.67 inference(unit_resolution,[status(thm)],[2974, 2970])).
% 53.49/33.67 tff(2976,plain,
% 53.49/33.67 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB13) | (~v114(constB13)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB13) | (~v114(constB13)))),
% 53.49/33.67 inference(rewrite,[status(thm)],[])).
% 53.49/33.67 tff(2977,plain,
% 53.49/33.67 (((~v114(constB13)) | v113(constB13)) <=> (v113(constB13) | (~v114(constB13)))),
% 53.49/33.67 inference(rewrite,[status(thm)],[])).
% 53.49/33.67 tff(2978,plain,
% 53.49/33.67 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB13)) | v113(constB13))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB13) | (~v114(constB13))))),
% 53.49/33.67 inference(monotonicity,[status(thm)],[2977])).
% 53.49/33.67 tff(2979,plain,
% 53.49/33.67 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB13)) | v113(constB13))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB13) | (~v114(constB13)))),
% 53.49/33.67 inference(transitivity,[status(thm)],[2978, 2976])).
% 53.49/33.67 tff(2980,plain,
% 53.49/33.67 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB13)) | v113(constB13))),
% 53.49/33.67 inference(quant_inst,[status(thm)],[])).
% 53.49/33.67 tff(2981,plain,
% 53.49/33.67 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB13) | (~v114(constB13))),
% 53.49/33.67 inference(modus_ponens,[status(thm)],[2980, 2979])).
% 53.49/33.67 tff(2982,plain,
% 53.49/33.67 (~v114(constB13)),
% 53.49/33.67 inference(unit_resolution,[status(thm)],[2981, 1049, 2975])).
% 53.49/33.67 tff(2983,plain,
% 53.49/33.67 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB13) | (~v115(constB13)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB13) | (~v115(constB13)))),
% 53.49/33.67 inference(rewrite,[status(thm)],[])).
% 53.49/33.67 tff(2984,plain,
% 53.49/33.67 (((~v115(constB13)) | v114(constB13)) <=> (v114(constB13) | (~v115(constB13)))),
% 53.49/33.67 inference(rewrite,[status(thm)],[])).
% 53.49/33.67 tff(2985,plain,
% 53.49/33.67 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB13)) | v114(constB13))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB13) | (~v115(constB13))))),
% 53.49/33.67 inference(monotonicity,[status(thm)],[2984])).
% 53.49/33.67 tff(2986,plain,
% 53.49/33.67 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB13)) | v114(constB13))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB13) | (~v115(constB13)))),
% 53.49/33.67 inference(transitivity,[status(thm)],[2985, 2983])).
% 53.49/33.67 tff(2987,plain,
% 53.49/33.67 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB13)) | v114(constB13))),
% 53.49/33.67 inference(quant_inst,[status(thm)],[])).
% 53.49/33.67 tff(2988,plain,
% 53.49/33.67 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB13) | (~v115(constB13))),
% 53.49/33.67 inference(modus_ponens,[status(thm)],[2987, 2986])).
% 53.49/33.67 tff(2989,plain,
% 53.49/33.67 (~v115(constB13)),
% 53.49/33.67 inference(unit_resolution,[status(thm)],[2988, 1035, 2982])).
% 53.49/33.67 tff(2990,plain,
% 53.49/33.67 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB13)) | v115(constB13))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB13)) | v115(constB13))),
% 53.49/33.67 inference(rewrite,[status(thm)],[])).
% 53.49/33.67 tff(2991,plain,
% 53.49/33.67 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB13)) | v115(constB13))),
% 53.49/33.67 inference(quant_inst,[status(thm)],[])).
% 53.49/33.67 tff(2992,plain,
% 53.49/33.67 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB13)) | v115(constB13)),
% 53.49/33.67 inference(modus_ponens,[status(thm)],[2991, 2990])).
% 53.49/33.67 tff(2993,plain,
% 53.49/33.67 (~v123(constB13)),
% 53.49/33.67 inference(unit_resolution,[status(thm)],[2992, 2291, 2989])).
% 53.49/33.67 tff(2994,plain,
% 53.49/33.67 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB13) | (~v116(constB13)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB13) | (~v116(constB13)))),
% 53.49/33.67 inference(rewrite,[status(thm)],[])).
% 53.49/33.67 tff(2995,plain,
% 53.49/33.67 (((~v116(constB13)) | v115(constB13)) <=> (v115(constB13) | (~v116(constB13)))),
% 53.49/33.67 inference(rewrite,[status(thm)],[])).
% 53.49/33.67 tff(2996,plain,
% 53.49/33.67 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB13)) | v115(constB13))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB13) | (~v116(constB13))))),
% 53.49/33.67 inference(monotonicity,[status(thm)],[2995])).
% 53.49/33.67 tff(2997,plain,
% 53.49/33.67 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB13)) | v115(constB13))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB13) | (~v116(constB13)))),
% 53.49/33.67 inference(transitivity,[status(thm)],[2996, 2994])).
% 53.49/33.67 tff(2998,plain,
% 53.49/33.67 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB13)) | v115(constB13))),
% 53.49/33.67 inference(quant_inst,[status(thm)],[])).
% 53.49/33.67 tff(2999,plain,
% 53.49/33.67 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB13) | (~v116(constB13))),
% 53.49/33.67 inference(modus_ponens,[status(thm)],[2998, 2997])).
% 53.49/33.67 tff(3000,plain,
% 53.49/33.67 (~v116(constB13)),
% 53.49/33.67 inference(unit_resolution,[status(thm)],[2999, 1021, 2989])).
% 53.49/33.67 tff(3001,plain,
% 53.49/33.67 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB13) | (~v117(constB13)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB13) | (~v117(constB13)))),
% 53.49/33.67 inference(rewrite,[status(thm)],[])).
% 53.49/33.67 tff(3002,plain,
% 53.49/33.67 (((~v117(constB13)) | v116(constB13)) <=> (v116(constB13) | (~v117(constB13)))),
% 53.49/33.67 inference(rewrite,[status(thm)],[])).
% 53.49/33.67 tff(3003,plain,
% 53.49/33.67 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB13)) | v116(constB13))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB13) | (~v117(constB13))))),
% 53.49/33.67 inference(monotonicity,[status(thm)],[3002])).
% 53.49/33.67 tff(3004,plain,
% 53.49/33.67 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB13)) | v116(constB13))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB13) | (~v117(constB13)))),
% 53.49/33.67 inference(transitivity,[status(thm)],[3003, 3001])).
% 53.49/33.67 tff(3005,plain,
% 53.49/33.67 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB13)) | v116(constB13))),
% 53.49/33.67 inference(quant_inst,[status(thm)],[])).
% 53.49/33.67 tff(3006,plain,
% 53.49/33.67 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB13) | (~v117(constB13))),
% 53.49/33.67 inference(modus_ponens,[status(thm)],[3005, 3004])).
% 53.49/33.67 tff(3007,plain,
% 53.49/33.67 (~v117(constB13)),
% 53.49/33.67 inference(unit_resolution,[status(thm)],[3006, 1007, 3000])).
% 53.49/33.67 tff(3008,plain,
% 53.49/33.67 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB13) | (~v118(constB13)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB13) | (~v118(constB13)))),
% 53.49/33.67 inference(rewrite,[status(thm)],[])).
% 53.49/33.67 tff(3009,plain,
% 53.49/33.67 (((~v118(constB13)) | v117(constB13)) <=> (v117(constB13) | (~v118(constB13)))),
% 53.49/33.67 inference(rewrite,[status(thm)],[])).
% 53.49/33.67 tff(3010,plain,
% 53.49/33.67 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB13)) | v117(constB13))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB13) | (~v118(constB13))))),
% 53.49/33.67 inference(monotonicity,[status(thm)],[3009])).
% 53.49/33.67 tff(3011,plain,
% 53.49/33.67 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB13)) | v117(constB13))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB13) | (~v118(constB13)))),
% 53.49/33.67 inference(transitivity,[status(thm)],[3010, 3008])).
% 53.49/33.67 tff(3012,plain,
% 53.49/33.67 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB13)) | v117(constB13))),
% 53.49/33.67 inference(quant_inst,[status(thm)],[])).
% 53.49/33.67 tff(3013,plain,
% 53.49/33.67 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB13) | (~v118(constB13))),
% 53.49/33.67 inference(modus_ponens,[status(thm)],[3012, 3011])).
% 53.49/33.67 tff(3014,plain,
% 53.49/33.67 (~v118(constB13)),
% 53.49/33.67 inference(unit_resolution,[status(thm)],[3013, 993, 3007])).
% 53.49/33.67 tff(3015,plain,
% 53.49/33.67 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB13) | (~v119(constB13)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB13) | (~v119(constB13)))),
% 53.49/33.67 inference(rewrite,[status(thm)],[])).
% 53.49/33.67 tff(3016,plain,
% 53.49/33.67 (((~v119(constB13)) | v118(constB13)) <=> (v118(constB13) | (~v119(constB13)))),
% 53.49/33.67 inference(rewrite,[status(thm)],[])).
% 53.49/33.67 tff(3017,plain,
% 53.49/33.67 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB13)) | v118(constB13))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB13) | (~v119(constB13))))),
% 53.49/33.67 inference(monotonicity,[status(thm)],[3016])).
% 53.49/33.67 tff(3018,plain,
% 53.49/33.67 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB13)) | v118(constB13))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB13) | (~v119(constB13)))),
% 53.49/33.67 inference(transitivity,[status(thm)],[3017, 3015])).
% 53.49/33.67 tff(3019,plain,
% 53.49/33.67 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB13)) | v118(constB13))),
% 53.49/33.67 inference(quant_inst,[status(thm)],[])).
% 53.49/33.67 tff(3020,plain,
% 53.49/33.67 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB13) | (~v119(constB13))),
% 53.49/33.67 inference(modus_ponens,[status(thm)],[3019, 3018])).
% 53.49/33.67 tff(3021,plain,
% 53.49/33.67 (~v119(constB13)),
% 53.49/33.67 inference(unit_resolution,[status(thm)],[3020, 982, 3014])).
% 53.49/33.67 tff(3022,plain,
% 53.49/33.67 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB13)) | v113(constB13))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB13)) | v113(constB13))),
% 53.49/33.67 inference(rewrite,[status(thm)],[])).
% 53.49/33.67 tff(3023,plain,
% 53.49/33.67 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB13)) | v113(constB13))),
% 53.49/33.67 inference(quant_inst,[status(thm)],[])).
% 53.49/33.67 tff(3024,plain,
% 53.49/33.67 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB13)) | v113(constB13)),
% 53.49/33.67 inference(modus_ponens,[status(thm)],[3023, 3022])).
% 53.49/33.67 tff(3025,plain,
% 53.49/33.67 (~v125(constB13)),
% 53.49/33.67 inference(unit_resolution,[status(thm)],[3024, 2262, 2975])).
% 53.49/33.67 tff(3026,plain,
% 53.49/33.67 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB13)) | v117(constB13))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB13)) | v117(constB13))),
% 53.49/33.67 inference(rewrite,[status(thm)],[])).
% 53.49/33.67 tff(3027,plain,
% 53.49/33.67 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB13)) | v117(constB13))),
% 53.49/33.67 inference(quant_inst,[status(thm)],[])).
% 53.49/33.67 tff(3028,plain,
% 53.49/33.67 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB13)) | v117(constB13)),
% 53.49/33.67 inference(modus_ponens,[status(thm)],[3027, 3026])).
% 53.49/33.67 tff(3029,plain,
% 53.49/33.67 (~v121(constB13)),
% 53.49/33.67 inference(unit_resolution,[status(thm)],[3028, 1742, 3007])).
% 53.49/33.67 tff(3030,assumption,(~v90(constB13, 0)), introduced(assumption)).
% 53.49/33.67 tff(3031,assumption,(~v123(constB13)), introduced(assumption)).
% 53.49/33.67 tff(3032,assumption,(~v119(constB13)), introduced(assumption)).
% 53.49/33.67 tff(3033,assumption,(~v90(constB13, 1)), introduced(assumption)).
% 53.49/33.67 tff(3034,plain,
% 53.49/33.67 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB13, 0) | v90(constB13, 1) | (~v90(constB13, 2)) | v123(constB13))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB13, 0) | v90(constB13, 1) | (~v90(constB13, 2)) | v123(constB13))),
% 53.49/33.67 inference(rewrite,[status(thm)],[])).
% 53.49/33.67 tff(3035,plain,
% 53.49/33.67 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB13, 0) | v90(constB13, 1) | (~v90(constB13, 2)) | v123(constB13))),
% 53.49/33.67 inference(quant_inst,[status(thm)],[])).
% 53.49/33.67 tff(3036,plain,
% 53.49/33.67 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB13, 0) | v90(constB13, 1) | (~v90(constB13, 2)) | v123(constB13)),
% 53.49/33.67 inference(modus_ponens,[status(thm)],[3035, 3034])).
% 53.49/33.67 tff(3037,plain,
% 53.49/33.67 (v90(constB13, 0) | v90(constB13, 1) | (~v90(constB13, 2))),
% 53.49/33.67 inference(unit_resolution,[status(thm)],[3036, 2308, 3031])).
% 53.49/33.67 tff(3038,plain,
% 53.49/33.67 (~v90(constB13, 2)),
% 53.49/33.67 inference(unit_resolution,[status(thm)],[3037, 3033, 3030])).
% 53.49/33.67 tff(3039,plain,
% 53.49/33.67 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB13, 0) | v90(constB13, 1) | v90(constB13, 2) | v119(constB13))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB13, 0) | v90(constB13, 1) | v90(constB13, 2) | v119(constB13))),
% 53.49/33.67 inference(rewrite,[status(thm)],[])).
% 53.49/33.67 tff(3040,plain,
% 53.49/33.67 ((v90(constB13, 0) | v119(constB13) | v90(constB13, 1) | v90(constB13, 2)) <=> (v90(constB13, 0) | v90(constB13, 1) | v90(constB13, 2) | v119(constB13))),
% 53.49/33.67 inference(rewrite,[status(thm)],[])).
% 53.49/33.67 tff(3041,plain,
% 53.49/33.67 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB13, 0) | v119(constB13) | v90(constB13, 1) | v90(constB13, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB13, 0) | v90(constB13, 1) | v90(constB13, 2) | v119(constB13)))),
% 53.49/33.67 inference(monotonicity,[status(thm)],[3040])).
% 53.49/33.67 tff(3042,plain,
% 53.49/33.67 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB13, 0) | v119(constB13) | v90(constB13, 1) | v90(constB13, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB13, 0) | v90(constB13, 1) | v90(constB13, 2) | v119(constB13))),
% 53.49/33.67 inference(transitivity,[status(thm)],[3041, 3039])).
% 53.49/33.67 tff(3043,plain,
% 53.49/33.67 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB13, 0) | v119(constB13) | v90(constB13, 1) | v90(constB13, 2))),
% 53.49/33.67 inference(quant_inst,[status(thm)],[])).
% 53.49/33.67 tff(3044,plain,
% 53.49/33.67 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB13, 0) | v90(constB13, 1) | v90(constB13, 2) | v119(constB13)),
% 53.49/33.67 inference(modus_ponens,[status(thm)],[3043, 3042])).
% 53.49/33.67 tff(3045,plain,
% 53.49/33.67 (v90(constB13, 0) | v90(constB13, 1) | v90(constB13, 2)),
% 53.49/33.67 inference(unit_resolution,[status(thm)],[3044, 968, 3032])).
% 53.49/33.67 tff(3046,plain,
% 53.49/33.67 ($false),
% 53.49/33.67 inference(unit_resolution,[status(thm)],[3045, 3038, 3033, 3030])).
% 53.49/33.67 tff(3047,plain,(v90(constB13, 1) | v90(constB13, 0) | v119(constB13) | v123(constB13)), inference(lemma,lemma(discharge,[]))).
% 53.49/33.67 tff(3048,plain,
% 53.49/33.67 (v90(constB13, 1)),
% 53.49/33.67 inference(unit_resolution,[status(thm)],[3047, 3030, 3032, 3031])).
% 53.49/33.67 tff(3049,assumption,(~v125(constB13)), introduced(assumption)).
% 53.49/33.67 tff(3050,plain,
% 53.49/33.67 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB13, 0) | (~v90(constB13, 1)) | (~v90(constB13, 2)) | v125(constB13))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB13, 0) | (~v90(constB13, 1)) | (~v90(constB13, 2)) | v125(constB13))),
% 53.49/33.67 inference(rewrite,[status(thm)],[])).
% 53.49/33.67 tff(3051,plain,
% 53.49/33.67 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB13, 0) | (~v90(constB13, 1)) | (~v90(constB13, 2)) | v125(constB13))),
% 53.49/33.67 inference(quant_inst,[status(thm)],[])).
% 53.49/33.67 tff(3052,plain,
% 53.49/33.67 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB13, 0) | (~v90(constB13, 1)) | (~v90(constB13, 2)) | v125(constB13)),
% 53.49/33.67 inference(modus_ponens,[status(thm)],[3051, 3050])).
% 53.49/33.67 tff(3053,plain,
% 53.49/33.67 (v90(constB13, 0) | (~v90(constB13, 1)) | (~v90(constB13, 2))),
% 53.49/33.67 inference(unit_resolution,[status(thm)],[3052, 2279, 3049])).
% 53.49/33.67 tff(3054,plain,
% 53.49/33.67 (~v90(constB13, 2)),
% 53.49/33.67 inference(unit_resolution,[status(thm)],[3053, 3048, 3030])).
% 53.49/33.67 tff(3055,assumption,(~v121(constB13)), introduced(assumption)).
% 53.49/33.67 tff(3056,plain,
% 53.49/33.67 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB13, 0) | (~v90(constB13, 1)) | v90(constB13, 2) | v121(constB13))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB13, 0) | (~v90(constB13, 1)) | v90(constB13, 2) | v121(constB13))),
% 53.49/33.67 inference(rewrite,[status(thm)],[])).
% 53.49/33.67 tff(3057,plain,
% 53.49/33.67 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB13, 0) | (~v90(constB13, 1)) | v90(constB13, 2) | v121(constB13))),
% 53.49/33.67 inference(quant_inst,[status(thm)],[])).
% 53.49/33.67 tff(3058,plain,
% 53.49/33.67 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB13, 0) | (~v90(constB13, 1)) | v90(constB13, 2) | v121(constB13)),
% 53.49/33.67 inference(modus_ponens,[status(thm)],[3057, 3056])).
% 53.49/33.67 tff(3059,plain,
% 53.49/33.67 (v90(constB13, 0) | (~v90(constB13, 1)) | v90(constB13, 2)),
% 53.49/33.67 inference(unit_resolution,[status(thm)],[3058, 1731, 3055])).
% 53.49/33.68 tff(3060,plain,
% 53.49/33.68 ($false),
% 53.49/33.68 inference(unit_resolution,[status(thm)],[3059, 3054, 3048, 3030])).
% 53.49/33.68 tff(3061,plain,(v90(constB13, 0) | v121(constB13) | v125(constB13) | v119(constB13) | v123(constB13)), inference(lemma,lemma(discharge,[]))).
% 53.49/33.68 tff(3062,plain,
% 53.49/33.68 (v90(constB13, 0)),
% 53.49/33.68 inference(unit_resolution,[status(thm)],[3061, 3029, 3025, 3021, 2993])).
% 53.49/33.68 tff(3063,plain,
% 53.49/33.68 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB13) | (~v122(constB13)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB13) | (~v122(constB13)))),
% 53.49/33.68 inference(rewrite,[status(thm)],[])).
% 53.49/33.68 tff(3064,plain,
% 53.49/33.68 (((~v122(constB13)) | v116(constB13)) <=> (v116(constB13) | (~v122(constB13)))),
% 53.49/33.68 inference(rewrite,[status(thm)],[])).
% 53.49/33.68 tff(3065,plain,
% 53.49/33.68 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB13)) | v116(constB13))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB13) | (~v122(constB13))))),
% 53.49/33.68 inference(monotonicity,[status(thm)],[3064])).
% 53.49/33.68 tff(3066,plain,
% 53.49/33.68 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB13)) | v116(constB13))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB13) | (~v122(constB13)))),
% 53.49/33.68 inference(transitivity,[status(thm)],[3065, 3063])).
% 53.49/33.68 tff(3067,plain,
% 53.49/33.68 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB13)) | v116(constB13))),
% 53.49/33.68 inference(quant_inst,[status(thm)],[])).
% 53.49/33.68 tff(3068,plain,
% 53.49/33.68 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB13) | (~v122(constB13))),
% 53.49/33.68 inference(modus_ponens,[status(thm)],[3067, 3066])).
% 53.49/33.68 tff(3069,plain,
% 53.49/33.68 (~v122(constB13)),
% 53.49/33.68 inference(unit_resolution,[status(thm)],[3068, 2120, 3000])).
% 53.49/33.68 tff(3070,plain,
% 53.49/33.68 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB13)) | v118(constB13))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB13)) | v118(constB13))),
% 53.49/33.68 inference(rewrite,[status(thm)],[])).
% 53.49/33.68 tff(3071,plain,
% 53.49/33.68 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB13)) | v118(constB13))),
% 53.49/33.68 inference(quant_inst,[status(thm)],[])).
% 53.49/33.68 tff(3072,plain,
% 53.49/33.68 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB13)) | v118(constB13)),
% 53.49/33.68 inference(modus_ponens,[status(thm)],[3071, 3070])).
% 53.49/33.68 tff(3073,plain,
% 53.49/33.68 (~v120(constB13)),
% 53.49/33.68 inference(unit_resolution,[status(thm)],[3072, 1425, 3014])).
% 53.49/33.68 tff(3074,assumption,(v90(constB13, 0)), introduced(assumption)).
% 53.49/33.68 tff(3075,assumption,(~v90(constB13, 2)), introduced(assumption)).
% 53.49/33.68 tff(3076,assumption,(~v122(constB13)), introduced(assumption)).
% 53.49/33.68 tff(3077,plain,
% 53.49/33.68 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB13, 0)) | (~v90(constB13, 1)) | v90(constB13, 2) | v122(constB13))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB13, 0)) | (~v90(constB13, 1)) | v90(constB13, 2) | v122(constB13))),
% 53.49/33.68 inference(rewrite,[status(thm)],[])).
% 53.49/33.68 tff(3078,plain,
% 53.49/33.68 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB13, 0)) | (~v90(constB13, 1)) | v90(constB13, 2) | v122(constB13))),
% 53.49/33.68 inference(quant_inst,[status(thm)],[])).
% 53.49/33.68 tff(3079,plain,
% 53.49/33.68 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB13, 0)) | (~v90(constB13, 1)) | v90(constB13, 2) | v122(constB13)),
% 53.49/33.68 inference(modus_ponens,[status(thm)],[3078, 3077])).
% 53.49/33.68 tff(3080,plain,
% 53.49/33.68 ((~v90(constB13, 0)) | (~v90(constB13, 1)) | v90(constB13, 2)),
% 53.49/33.68 inference(unit_resolution,[status(thm)],[3079, 1956, 3076])).
% 53.49/33.68 tff(3081,plain,
% 53.49/33.68 (~v90(constB13, 1)),
% 53.49/33.68 inference(unit_resolution,[status(thm)],[3080, 3075, 3074])).
% 53.49/33.68 tff(3082,assumption,(~v120(constB13)), introduced(assumption)).
% 53.49/33.68 tff(3083,plain,
% 53.49/33.68 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB13, 0)) | v90(constB13, 1) | v90(constB13, 2) | v120(constB13))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB13, 0)) | v90(constB13, 1) | v90(constB13, 2) | v120(constB13))),
% 53.49/33.68 inference(rewrite,[status(thm)],[])).
% 53.49/33.68 tff(3084,plain,
% 53.49/33.68 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB13, 0)) | v90(constB13, 1) | v90(constB13, 2) | v120(constB13))),
% 53.49/33.68 inference(quant_inst,[status(thm)],[])).
% 53.49/33.68 tff(3085,plain,
% 53.49/33.68 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB13, 0)) | v90(constB13, 1) | v90(constB13, 2) | v120(constB13)),
% 53.49/33.68 inference(modus_ponens,[status(thm)],[3084, 3083])).
% 53.49/33.68 tff(3086,plain,
% 53.49/33.68 ((~v90(constB13, 0)) | v90(constB13, 1) | v90(constB13, 2)),
% 53.49/33.68 inference(unit_resolution,[status(thm)],[3085, 1414, 3082])).
% 53.49/33.68 tff(3087,plain,
% 53.49/33.68 ($false),
% 53.49/33.68 inference(unit_resolution,[status(thm)],[3086, 3081, 3075, 3074])).
% 53.49/33.68 tff(3088,plain,(v90(constB13, 2) | (~v90(constB13, 0)) | v120(constB13) | v122(constB13)), inference(lemma,lemma(discharge,[]))).
% 53.49/33.68 tff(3089,plain,
% 53.49/33.68 (v90(constB13, 2)),
% 53.49/33.68 inference(unit_resolution,[status(thm)],[3088, 3062, 3073, 3069])).
% 53.49/33.68 tff(3090,plain,
% 53.49/33.68 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB13)) | v114(constB13))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB13)) | v114(constB13))),
% 53.49/33.68 inference(rewrite,[status(thm)],[])).
% 53.49/33.68 tff(3091,plain,
% 53.49/33.68 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB13)) | v114(constB13))),
% 53.49/33.68 inference(quant_inst,[status(thm)],[])).
% 53.49/33.68 tff(3092,plain,
% 53.49/33.68 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB13)) | v114(constB13)),
% 53.49/33.68 inference(modus_ponens,[status(thm)],[3091, 3090])).
% 53.49/33.68 tff(3093,plain,
% 53.49/33.68 (~v124(constB13)),
% 53.49/33.68 inference(unit_resolution,[status(thm)],[3092, 2674, 2982])).
% 53.49/33.68 tff(3094,plain,
% 53.49/33.68 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB13, 0)) | v90(constB13, 1) | (~v90(constB13, 2)) | v124(constB13))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB13, 0)) | v90(constB13, 1) | (~v90(constB13, 2)) | v124(constB13))),
% 53.49/33.68 inference(rewrite,[status(thm)],[])).
% 53.49/33.68 tff(3095,plain,
% 53.49/33.68 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB13, 0)) | v90(constB13, 1) | (~v90(constB13, 2)) | v124(constB13))),
% 53.49/33.68 inference(quant_inst,[status(thm)],[])).
% 53.49/33.68 tff(3096,plain,
% 53.49/33.68 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB13, 0)) | v90(constB13, 1) | (~v90(constB13, 2)) | v124(constB13)),
% 53.49/33.68 inference(modus_ponens,[status(thm)],[3095, 3094])).
% 53.49/33.68 tff(3097,plain,
% 53.49/33.68 ((~v90(constB13, 0)) | v90(constB13, 1) | (~v90(constB13, 2))),
% 53.49/33.68 inference(unit_resolution,[status(thm)],[3096, 2663, 3093])).
% 53.49/33.68 tff(3098,plain,
% 53.49/33.68 (v90(constB13, 1)),
% 53.49/33.68 inference(unit_resolution,[status(thm)],[3097, 3089, 3062])).
% 53.49/33.68 tff(3099,plain,
% 53.49/33.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB13, 0)) | (~nextState(constB13, constB14)) | v100(constB14) | v90(constB14, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB13, 0)) | (~nextState(constB13, constB14)) | v100(constB14) | v90(constB14, 0))),
% 53.49/33.68 inference(rewrite,[status(thm)],[])).
% 53.49/33.68 tff(3100,plain,
% 53.49/33.68 (((~nextState(constB13, constB14)) | (~v90(constB13, 0)) | v100(constB14) | v90(constB14, 0)) <=> ((~v90(constB13, 0)) | (~nextState(constB13, constB14)) | v100(constB14) | v90(constB14, 0))),
% 53.49/33.68 inference(rewrite,[status(thm)],[])).
% 53.49/33.68 tff(3101,plain,
% 53.49/33.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB13, constB14)) | (~v90(constB13, 0)) | v100(constB14) | v90(constB14, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB13, 0)) | (~nextState(constB13, constB14)) | v100(constB14) | v90(constB14, 0)))),
% 53.49/33.68 inference(monotonicity,[status(thm)],[3100])).
% 53.49/33.68 tff(3102,plain,
% 53.49/33.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB13, constB14)) | (~v90(constB13, 0)) | v100(constB14) | v90(constB14, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB13, 0)) | (~nextState(constB13, constB14)) | v100(constB14) | v90(constB14, 0))),
% 53.49/33.68 inference(transitivity,[status(thm)],[3101, 3099])).
% 53.49/33.68 tff(3103,plain,
% 53.49/33.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB13, constB14)) | (~v90(constB13, 0)) | v100(constB14) | v90(constB14, 0))),
% 53.49/33.68 inference(quant_inst,[status(thm)],[])).
% 53.49/33.68 tff(3104,plain,
% 53.49/33.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB13, 0)) | (~nextState(constB13, constB14)) | v100(constB14) | v90(constB14, 0)),
% 53.49/33.68 inference(modus_ponens,[status(thm)],[3103, 3102])).
% 53.49/33.68 tff(3105,plain,
% 53.49/33.68 ((~v90(constB13, 0)) | v100(constB14) | v90(constB14, 0)),
% 53.49/33.68 inference(unit_resolution,[status(thm)],[3104, 1395, 2923])).
% 53.49/33.68 tff(3106,plain,
% 53.49/33.68 (v90(constB14, 0)),
% 53.49/33.68 inference(unit_resolution,[status(thm)],[3105, 3062, 2929])).
% 53.49/33.68 tff(3107,plain,
% 53.49/33.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB12, 2) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB12, 2) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, 2)))),
% 53.49/33.68 inference(rewrite,[status(thm)],[])).
% 53.49/33.68 tff(3108,plain,
% 53.49/33.68 (((~nextState(constB12, constB13)) | v90(constB12, 2) | v100(constB13) | (~v90(constB13, 2))) <=> (v90(constB12, 2) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, 2)))),
% 53.49/33.68 inference(rewrite,[status(thm)],[])).
% 53.49/33.68 tff(3109,plain,
% 53.49/33.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB12, constB13)) | v90(constB12, 2) | v100(constB13) | (~v90(constB13, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB12, 2) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, 2))))),
% 53.49/33.68 inference(monotonicity,[status(thm)],[3108])).
% 53.49/33.68 tff(3110,plain,
% 53.49/33.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB12, constB13)) | v90(constB12, 2) | v100(constB13) | (~v90(constB13, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB12, 2) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, 2)))),
% 53.49/33.68 inference(transitivity,[status(thm)],[3109, 3107])).
% 53.49/33.68 tff(3111,plain,
% 53.49/33.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB12, constB13)) | v90(constB12, 2) | v100(constB13) | (~v90(constB13, 2)))),
% 53.49/33.68 inference(quant_inst,[status(thm)],[])).
% 53.49/33.68 tff(3112,plain,
% 53.49/33.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB12, 2) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, 2))),
% 53.49/33.68 inference(modus_ponens,[status(thm)],[3111, 3110])).
% 53.49/33.68 tff(3113,plain,
% 53.49/33.68 (v90(constB12, 2) | v100(constB13) | (~v90(constB13, 2))),
% 53.49/33.68 inference(unit_resolution,[status(thm)],[3112, 905, 2769])).
% 53.49/33.68 tff(3114,plain,
% 53.49/33.68 (v90(constB12, 2) | (~v90(constB13, 2))),
% 53.49/33.68 inference(unit_resolution,[status(thm)],[3113, 2781])).
% 53.49/33.68 tff(3115,plain,
% 53.49/33.68 (v90(constB12, 2)),
% 53.49/33.68 inference(unit_resolution,[status(thm)],[3114, 3089])).
% 53.49/33.68 tff(3116,assumption,(v90(constB14, 0)), introduced(assumption)).
% 53.49/33.68 tff(3117,plain,
% 53.49/33.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB13, 0) | (~nextState(constB13, constB14)) | v100(constB14) | (~v90(constB14, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB13, 0) | (~nextState(constB13, constB14)) | v100(constB14) | (~v90(constB14, 0)))),
% 53.49/33.68 inference(rewrite,[status(thm)],[])).
% 53.49/33.68 tff(3118,plain,
% 53.49/33.68 (((~nextState(constB13, constB14)) | v90(constB13, 0) | v100(constB14) | (~v90(constB14, 0))) <=> (v90(constB13, 0) | (~nextState(constB13, constB14)) | v100(constB14) | (~v90(constB14, 0)))),
% 53.49/33.68 inference(rewrite,[status(thm)],[])).
% 53.49/33.68 tff(3119,plain,
% 53.49/33.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB13, constB14)) | v90(constB13, 0) | v100(constB14) | (~v90(constB14, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB13, 0) | (~nextState(constB13, constB14)) | v100(constB14) | (~v90(constB14, 0))))),
% 53.49/33.68 inference(monotonicity,[status(thm)],[3118])).
% 53.49/33.68 tff(3120,plain,
% 53.49/33.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB13, constB14)) | v90(constB13, 0) | v100(constB14) | (~v90(constB14, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB13, 0) | (~nextState(constB13, constB14)) | v100(constB14) | (~v90(constB14, 0)))),
% 53.49/33.68 inference(transitivity,[status(thm)],[3119, 3117])).
% 53.49/33.68 tff(3121,plain,
% 53.49/33.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB13, constB14)) | v90(constB13, 0) | v100(constB14) | (~v90(constB14, 0)))),
% 53.49/33.68 inference(quant_inst,[status(thm)],[])).
% 53.49/33.68 tff(3122,plain,
% 53.49/33.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB13, 0) | (~nextState(constB13, constB14)) | v100(constB14) | (~v90(constB14, 0))),
% 53.49/33.68 inference(modus_ponens,[status(thm)],[3121, 3120])).
% 53.49/33.68 tff(3123,plain,
% 53.49/33.68 (v90(constB13, 0) | v100(constB14) | (~v90(constB14, 0))),
% 53.49/33.68 inference(unit_resolution,[status(thm)],[3122, 947, 2923])).
% 53.49/33.68 tff(3124,plain,
% 53.49/33.68 (v90(constB13, 0)),
% 53.49/33.68 inference(unit_resolution,[status(thm)],[3123, 2929, 3116])).
% 53.49/33.68 tff(3125,plain,
% 53.49/33.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB12, 0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB12, 0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, 0)))),
% 53.49/33.68 inference(rewrite,[status(thm)],[])).
% 53.49/33.68 tff(3126,plain,
% 53.49/33.68 (((~nextState(constB12, constB13)) | v90(constB12, 0) | v100(constB13) | (~v90(constB13, 0))) <=> (v90(constB12, 0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, 0)))),
% 53.49/33.68 inference(rewrite,[status(thm)],[])).
% 53.49/33.68 tff(3127,plain,
% 53.49/33.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB12, constB13)) | v90(constB12, 0) | v100(constB13) | (~v90(constB13, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB12, 0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, 0))))),
% 53.49/33.68 inference(monotonicity,[status(thm)],[3126])).
% 53.49/33.68 tff(3128,plain,
% 53.49/33.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB12, constB13)) | v90(constB12, 0) | v100(constB13) | (~v90(constB13, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB12, 0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, 0)))),
% 53.49/33.68 inference(transitivity,[status(thm)],[3127, 3125])).
% 53.49/33.68 tff(3129,plain,
% 53.49/33.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB12, constB13)) | v90(constB12, 0) | v100(constB13) | (~v90(constB13, 0)))),
% 53.49/33.68 inference(quant_inst,[status(thm)],[])).
% 53.49/33.68 tff(3130,plain,
% 53.49/33.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB12, 0) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, 0))),
% 53.49/33.68 inference(modus_ponens,[status(thm)],[3129, 3128])).
% 53.49/33.68 tff(3131,plain,
% 53.49/33.68 (v90(constB12, 0) | v100(constB13) | (~v90(constB13, 0))),
% 53.49/33.68 inference(unit_resolution,[status(thm)],[3130, 947, 2769])).
% 53.49/33.68 tff(3132,plain,
% 53.49/33.68 (v90(constB12, 0) | (~v90(constB13, 0))),
% 53.49/33.68 inference(unit_resolution,[status(thm)],[3131, 2781])).
% 53.49/33.68 tff(3133,plain,
% 53.49/33.68 (v90(constB12, 0)),
% 53.49/33.68 inference(unit_resolution,[status(thm)],[3132, 3124])).
% 53.49/33.68 tff(3134,assumption,(v90(constB12, 2)), introduced(assumption)).
% 53.49/33.68 tff(3135,assumption,(v90(constB14, 1)), introduced(assumption)).
% 53.49/33.68 tff(3136,plain,
% 53.49/33.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB13, 1) | (~nextState(constB13, constB14)) | v100(constB14) | (~v90(constB14, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB13, 1) | (~nextState(constB13, constB14)) | v100(constB14) | (~v90(constB14, 1)))),
% 53.49/33.68 inference(rewrite,[status(thm)],[])).
% 53.49/33.68 tff(3137,plain,
% 53.49/33.68 (((~nextState(constB13, constB14)) | v90(constB13, 1) | v100(constB14) | (~v90(constB14, 1))) <=> (v90(constB13, 1) | (~nextState(constB13, constB14)) | v100(constB14) | (~v90(constB14, 1)))),
% 53.49/33.68 inference(rewrite,[status(thm)],[])).
% 53.49/33.68 tff(3138,plain,
% 53.49/33.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB13, constB14)) | v90(constB13, 1) | v100(constB14) | (~v90(constB14, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB13, 1) | (~nextState(constB13, constB14)) | v100(constB14) | (~v90(constB14, 1))))),
% 53.49/33.68 inference(monotonicity,[status(thm)],[3137])).
% 53.49/33.68 tff(3139,plain,
% 53.49/33.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB13, constB14)) | v90(constB13, 1) | v100(constB14) | (~v90(constB14, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB13, 1) | (~nextState(constB13, constB14)) | v100(constB14) | (~v90(constB14, 1)))),
% 53.49/33.68 inference(transitivity,[status(thm)],[3138, 3136])).
% 53.49/33.68 tff(3140,plain,
% 53.49/33.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB13, constB14)) | v90(constB13, 1) | v100(constB14) | (~v90(constB14, 1)))),
% 53.49/33.68 inference(quant_inst,[status(thm)],[])).
% 53.49/33.68 tff(3141,plain,
% 53.49/33.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB13, 1) | (~nextState(constB13, constB14)) | v100(constB14) | (~v90(constB14, 1))),
% 53.49/33.68 inference(modus_ponens,[status(thm)],[3140, 3139])).
% 53.49/33.68 tff(3142,plain,
% 53.49/33.68 (v90(constB13, 1) | v100(constB14) | (~v90(constB14, 1))),
% 53.49/33.68 inference(unit_resolution,[status(thm)],[3141, 926, 2923])).
% 53.49/33.68 tff(3143,plain,
% 53.49/33.68 (v90(constB13, 1)),
% 53.49/33.68 inference(unit_resolution,[status(thm)],[3142, 2929, 3135])).
% 53.49/33.68 tff(3144,plain,
% 53.49/33.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB12, 1) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB12, 1) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, 1)))),
% 53.49/33.68 inference(rewrite,[status(thm)],[])).
% 53.49/33.68 tff(3145,plain,
% 53.49/33.68 (((~nextState(constB12, constB13)) | v90(constB12, 1) | v100(constB13) | (~v90(constB13, 1))) <=> (v90(constB12, 1) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, 1)))),
% 53.49/33.68 inference(rewrite,[status(thm)],[])).
% 53.49/33.68 tff(3146,plain,
% 53.49/33.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB12, constB13)) | v90(constB12, 1) | v100(constB13) | (~v90(constB13, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB12, 1) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, 1))))),
% 53.49/33.68 inference(monotonicity,[status(thm)],[3145])).
% 53.49/33.68 tff(3147,plain,
% 53.49/33.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB12, constB13)) | v90(constB12, 1) | v100(constB13) | (~v90(constB13, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB12, 1) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, 1)))),
% 53.49/33.68 inference(transitivity,[status(thm)],[3146, 3144])).
% 53.49/33.68 tff(3148,plain,
% 53.49/33.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB12, constB13)) | v90(constB12, 1) | v100(constB13) | (~v90(constB13, 1)))),
% 53.49/33.68 inference(quant_inst,[status(thm)],[])).
% 53.49/33.68 tff(3149,plain,
% 53.49/33.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB12, 1) | (~nextState(constB12, constB13)) | v100(constB13) | (~v90(constB13, 1))),
% 53.49/33.68 inference(modus_ponens,[status(thm)],[3148, 3147])).
% 53.49/33.68 tff(3150,plain,
% 53.49/33.68 (v90(constB12, 1) | v100(constB13) | (~v90(constB13, 1))),
% 53.49/33.68 inference(unit_resolution,[status(thm)],[3149, 926, 2769])).
% 53.49/33.68 tff(3151,plain,
% 53.49/33.68 (v90(constB12, 1) | (~v90(constB13, 1))),
% 53.49/33.68 inference(unit_resolution,[status(thm)],[3150, 2781])).
% 53.49/33.68 tff(3152,plain,
% 53.49/33.68 (v90(constB12, 1)),
% 53.49/33.68 inference(unit_resolution,[status(thm)],[3151, 3143])).
% 53.49/33.68 tff(3153,assumption,(v90(constB12, 1)), introduced(assumption)).
% 53.49/33.68 tff(3154,assumption,(~v100(constB12)), introduced(assumption)).
% 53.49/33.68 tff(3155,plain,
% 53.49/33.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB11, 1) | (~nextState(constB11, constB12)) | v100(constB12) | (~v90(constB12, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB11, 1) | (~nextState(constB11, constB12)) | v100(constB12) | (~v90(constB12, 1)))),
% 53.49/33.68 inference(rewrite,[status(thm)],[])).
% 53.49/33.68 tff(3156,plain,
% 53.49/33.68 (((~nextState(constB11, constB12)) | v90(constB11, 1) | v100(constB12) | (~v90(constB12, 1))) <=> (v90(constB11, 1) | (~nextState(constB11, constB12)) | v100(constB12) | (~v90(constB12, 1)))),
% 53.49/33.68 inference(rewrite,[status(thm)],[])).
% 53.49/33.68 tff(3157,plain,
% 53.49/33.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB11, constB12)) | v90(constB11, 1) | v100(constB12) | (~v90(constB12, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB11, 1) | (~nextState(constB11, constB12)) | v100(constB12) | (~v90(constB12, 1))))),
% 53.49/33.68 inference(monotonicity,[status(thm)],[3156])).
% 53.49/33.68 tff(3158,plain,
% 53.49/33.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB11, constB12)) | v90(constB11, 1) | v100(constB12) | (~v90(constB12, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB11, 1) | (~nextState(constB11, constB12)) | v100(constB12) | (~v90(constB12, 1)))),
% 53.49/33.68 inference(transitivity,[status(thm)],[3157, 3155])).
% 53.49/33.68 tff(3159,plain,
% 53.49/33.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB11, constB12)) | v90(constB11, 1) | v100(constB12) | (~v90(constB12, 1)))),
% 53.49/33.68 inference(quant_inst,[status(thm)],[])).
% 53.49/33.68 tff(3160,plain,
% 53.49/33.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB11, 1) | (~nextState(constB11, constB12)) | v100(constB12) | (~v90(constB12, 1))),
% 53.49/33.68 inference(modus_ponens,[status(thm)],[3159, 3158])).
% 53.49/33.68 tff(3161,plain,
% 53.49/33.68 (v90(constB11, 1) | v100(constB12) | (~v90(constB12, 1))),
% 53.49/33.68 inference(unit_resolution,[status(thm)],[3160, 926, 2703])).
% 53.49/33.68 tff(3162,plain,
% 53.49/33.68 (v90(constB11, 1)),
% 53.49/33.68 inference(unit_resolution,[status(thm)],[3161, 3154, 3153])).
% 53.49/33.68 tff(3163,plain,
% 53.49/33.68 (v90(constB10, 1)),
% 53.49/33.68 inference(unit_resolution,[status(thm)],[2614, 3162])).
% 53.49/33.68 tff(3164,assumption,(v90(constB12, 0)), introduced(assumption)).
% 53.49/33.68 tff(3165,plain,
% 53.49/33.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB11, 0) | (~nextState(constB11, constB12)) | v100(constB12) | (~v90(constB12, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB11, 0) | (~nextState(constB11, constB12)) | v100(constB12) | (~v90(constB12, 0)))),
% 53.49/33.68 inference(rewrite,[status(thm)],[])).
% 53.49/33.68 tff(3166,plain,
% 53.49/33.68 (((~nextState(constB11, constB12)) | v90(constB11, 0) | v100(constB12) | (~v90(constB12, 0))) <=> (v90(constB11, 0) | (~nextState(constB11, constB12)) | v100(constB12) | (~v90(constB12, 0)))),
% 53.49/33.68 inference(rewrite,[status(thm)],[])).
% 53.49/33.68 tff(3167,plain,
% 53.49/33.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB11, constB12)) | v90(constB11, 0) | v100(constB12) | (~v90(constB12, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB11, 0) | (~nextState(constB11, constB12)) | v100(constB12) | (~v90(constB12, 0))))),
% 53.49/33.68 inference(monotonicity,[status(thm)],[3166])).
% 53.49/33.68 tff(3168,plain,
% 53.49/33.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB11, constB12)) | v90(constB11, 0) | v100(constB12) | (~v90(constB12, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB11, 0) | (~nextState(constB11, constB12)) | v100(constB12) | (~v90(constB12, 0)))),
% 53.49/33.68 inference(transitivity,[status(thm)],[3167, 3165])).
% 53.49/33.68 tff(3169,plain,
% 53.49/33.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB11, constB12)) | v90(constB11, 0) | v100(constB12) | (~v90(constB12, 0)))),
% 53.49/33.68 inference(quant_inst,[status(thm)],[])).
% 53.49/33.68 tff(3170,plain,
% 53.49/33.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB11, 0) | (~nextState(constB11, constB12)) | v100(constB12) | (~v90(constB12, 0))),
% 53.49/33.68 inference(modus_ponens,[status(thm)],[3169, 3168])).
% 53.49/33.68 tff(3171,plain,
% 53.49/33.68 (v90(constB11, 0) | v100(constB12) | (~v90(constB12, 0))),
% 53.49/33.68 inference(unit_resolution,[status(thm)],[3170, 947, 2703])).
% 53.49/33.68 tff(3172,plain,
% 53.49/33.68 (v90(constB11, 0)),
% 53.49/33.68 inference(unit_resolution,[status(thm)],[3171, 3154, 3164])).
% 53.49/33.68 tff(3173,plain,
% 53.49/33.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB10, 0) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB10, 0) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, 0)))),
% 53.49/33.68 inference(rewrite,[status(thm)],[])).
% 53.49/33.68 tff(3174,plain,
% 53.49/33.68 (((~nextState(constB10, constB11)) | v90(constB10, 0) | v100(constB11) | (~v90(constB11, 0))) <=> (v90(constB10, 0) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, 0)))),
% 53.49/33.68 inference(rewrite,[status(thm)],[])).
% 53.49/33.68 tff(3175,plain,
% 53.49/33.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB10, constB11)) | v90(constB10, 0) | v100(constB11) | (~v90(constB11, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB10, 0) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, 0))))),
% 53.49/33.68 inference(monotonicity,[status(thm)],[3174])).
% 53.49/33.68 tff(3176,plain,
% 53.49/33.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB10, constB11)) | v90(constB10, 0) | v100(constB11) | (~v90(constB11, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB10, 0) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, 0)))),
% 53.49/33.68 inference(transitivity,[status(thm)],[3175, 3173])).
% 53.49/33.68 tff(3177,plain,
% 53.49/33.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB10, constB11)) | v90(constB10, 0) | v100(constB11) | (~v90(constB11, 0)))),
% 53.49/33.68 inference(quant_inst,[status(thm)],[])).
% 53.49/33.68 tff(3178,plain,
% 53.49/33.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB10, 0) | (~nextState(constB10, constB11)) | v100(constB11) | (~v90(constB11, 0))),
% 53.49/33.68 inference(modus_ponens,[status(thm)],[3177, 3176])).
% 53.49/33.68 tff(3179,plain,
% 53.49/33.68 (v90(constB10, 0) | v100(constB11) | (~v90(constB11, 0))),
% 53.49/33.68 inference(unit_resolution,[status(thm)],[3178, 947, 2553])).
% 53.49/33.68 tff(3180,plain,
% 53.49/33.68 (v90(constB10, 0) | (~v90(constB11, 0))),
% 53.49/33.68 inference(unit_resolution,[status(thm)],[3179, 2565])).
% 53.49/33.68 tff(3181,plain,
% 53.49/33.68 (v90(constB10, 0)),
% 53.49/33.68 inference(unit_resolution,[status(thm)],[3180, 3172])).
% 53.49/33.68 tff(3182,plain,
% 53.49/33.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB9, 0) | (~nextState(constB9, constB10)) | v100(constB10) | (~v90(constB10, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB9, 0) | (~nextState(constB9, constB10)) | v100(constB10) | (~v90(constB10, 0)))),
% 53.49/33.68 inference(rewrite,[status(thm)],[])).
% 53.49/33.68 tff(3183,plain,
% 53.49/33.68 (((~nextState(constB9, constB10)) | v90(constB9, 0) | v100(constB10) | (~v90(constB10, 0))) <=> (v90(constB9, 0) | (~nextState(constB9, constB10)) | v100(constB10) | (~v90(constB10, 0)))),
% 53.49/33.68 inference(rewrite,[status(thm)],[])).
% 53.49/33.68 tff(3184,plain,
% 53.49/33.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB9, constB10)) | v90(constB9, 0) | v100(constB10) | (~v90(constB10, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB9, 0) | (~nextState(constB9, constB10)) | v100(constB10) | (~v90(constB10, 0))))),
% 53.49/33.68 inference(monotonicity,[status(thm)],[3183])).
% 53.49/33.68 tff(3185,plain,
% 53.49/33.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB9, constB10)) | v90(constB9, 0) | v100(constB10) | (~v90(constB10, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB9, 0) | (~nextState(constB9, constB10)) | v100(constB10) | (~v90(constB10, 0)))),
% 53.49/33.68 inference(transitivity,[status(thm)],[3184, 3182])).
% 53.49/33.68 tff(3186,plain,
% 53.49/33.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB9, constB10)) | v90(constB9, 0) | v100(constB10) | (~v90(constB10, 0)))),
% 53.49/33.68 inference(quant_inst,[status(thm)],[])).
% 53.49/33.68 tff(3187,plain,
% 53.49/33.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB9, 0) | (~nextState(constB9, constB10)) | v100(constB10) | (~v90(constB10, 0))),
% 53.49/33.68 inference(modus_ponens,[status(thm)],[3186, 3185])).
% 53.49/33.68 tff(3188,plain,
% 53.49/33.68 (v90(constB9, 0) | v100(constB10) | (~v90(constB10, 0))),
% 53.49/33.68 inference(unit_resolution,[status(thm)],[3187, 947, 2484])).
% 53.49/33.68 tff(3189,plain,
% 53.49/33.68 (v100(constB10)),
% 53.49/33.68 inference(unit_resolution,[status(thm)],[3188, 3181, 2441])).
% 53.49/33.68 tff(3190,plain,
% 53.49/33.68 (v129(constB10, 1)),
% 53.49/33.68 inference(unit_resolution,[status(thm)],[2604, 1309, 3189, 3163])).
% 53.49/33.68 tff(3191,plain,
% 53.49/33.68 (v127(constB9, 1)),
% 53.49/33.68 inference(unit_resolution,[status(thm)],[2597, 3190])).
% 53.49/33.68 tff(3192,plain,
% 53.49/33.68 (v26(constB9)),
% 53.49/33.68 inference(unit_resolution,[status(thm)],[2592, 3191])).
% 53.49/33.68 tff(3193,plain,
% 53.49/33.68 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB10, 0)) | v129(constB10, 0) | (~v100(constB10)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB10, 0)) | v129(constB10, 0) | (~v100(constB10)))),
% 53.49/33.68 inference(rewrite,[status(thm)],[])).
% 53.49/33.68 tff(3194,plain,
% 53.49/33.68 (((~v90(constB10, 0)) | (~v100(constB10)) | v129(constB10, 0)) <=> ((~v90(constB10, 0)) | v129(constB10, 0) | (~v100(constB10)))),
% 53.49/33.68 inference(rewrite,[status(thm)],[])).
% 53.49/33.68 tff(3195,plain,
% 53.49/33.68 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB10, 0)) | (~v100(constB10)) | v129(constB10, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB10, 0)) | v129(constB10, 0) | (~v100(constB10))))),
% 53.49/33.68 inference(monotonicity,[status(thm)],[3194])).
% 53.49/33.68 tff(3196,plain,
% 53.49/33.68 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB10, 0)) | (~v100(constB10)) | v129(constB10, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB10, 0)) | v129(constB10, 0) | (~v100(constB10)))),
% 53.49/33.68 inference(transitivity,[status(thm)],[3195, 3193])).
% 53.49/33.68 tff(3197,plain,
% 53.49/33.68 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB10, 0)) | (~v100(constB10)) | v129(constB10, 0))),
% 53.49/33.68 inference(quant_inst,[status(thm)],[])).
% 53.49/33.68 tff(3198,plain,
% 53.49/33.68 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB10, 0)) | v129(constB10, 0) | (~v100(constB10))),
% 53.49/33.68 inference(modus_ponens,[status(thm)],[3197, 3196])).
% 53.49/33.68 tff(3199,plain,
% 53.49/33.68 (v129(constB10, 0)),
% 53.49/33.68 inference(unit_resolution,[status(thm)],[3198, 1704, 3189, 3181])).
% 53.49/33.68 tff(3200,plain,
% 53.49/33.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB9, constB10)) | v127(constB9, 0) | (~v129(constB10, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB9, constB10)) | v127(constB9, 0) | (~v129(constB10, 0)))),
% 53.49/33.68 inference(rewrite,[status(thm)],[])).
% 53.49/33.68 tff(3201,plain,
% 53.49/33.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB9, constB10)) | v127(constB9, 0) | (~v129(constB10, 0)))),
% 53.49/33.68 inference(quant_inst,[status(thm)],[])).
% 53.49/33.68 tff(3202,plain,
% 53.49/33.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB9, constB10)) | v127(constB9, 0) | (~v129(constB10, 0))),
% 53.49/33.68 inference(modus_ponens,[status(thm)],[3201, 3200])).
% 53.49/33.68 tff(3203,plain,
% 53.49/33.68 (v127(constB9, 0) | (~v129(constB10, 0))),
% 53.49/33.68 inference(unit_resolution,[status(thm)],[3202, 1689, 2484])).
% 53.49/33.68 tff(3204,plain,
% 53.49/33.68 (v127(constB9, 0)),
% 53.49/33.68 inference(unit_resolution,[status(thm)],[3203, 3199])).
% 53.49/33.68 tff(3205,plain,
% 53.49/33.68 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | ((~v26(constB9)) | (~v127(constB9, 0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | (~v26(constB9)) | (~v127(constB9, 0)))),
% 53.49/33.68 inference(rewrite,[status(thm)],[])).
% 53.49/33.68 tff(3206,plain,
% 53.49/33.68 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | ((~v26(constB9)) | (~v127(constB9, 0)))),
% 53.49/33.68 inference(quant_inst,[status(thm)],[])).
% 53.49/33.68 tff(3207,plain,
% 53.49/33.68 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | (~v26(constB9)) | (~v127(constB9, 0))),
% 53.49/33.68 inference(modus_ponens,[status(thm)],[3206, 3205])).
% 53.49/33.68 tff(3208,plain,
% 53.49/33.68 ($false),
% 53.49/33.68 inference(unit_resolution,[status(thm)],[3207, 2241, 3204, 3192])).
% 53.49/33.68 tff(3209,plain,(v100(constB12) | (~v90(constB12, 1)) | (~v90(constB12, 0))), inference(lemma,lemma(discharge,[]))).
% 53.49/33.68 tff(3210,plain,
% 53.49/33.68 (v100(constB12)),
% 53.49/33.68 inference(unit_resolution,[status(thm)],[3209, 3152, 3133])).
% 53.49/33.68 tff(3211,assumption,(v100(constB12)), introduced(assumption)).
% 53.49/33.68 tff(3212,plain,
% 53.49/33.68 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB12, 2)) | v129(constB12, 2) | (~v100(constB12)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB12, 2)) | v129(constB12, 2) | (~v100(constB12)))),
% 53.49/33.68 inference(rewrite,[status(thm)],[])).
% 53.49/33.68 tff(3213,plain,
% 53.49/33.68 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB12, 2)) | v129(constB12, 2) | (~v100(constB12)))),
% 53.49/33.68 inference(quant_inst,[status(thm)],[])).
% 53.49/33.68 tff(3214,plain,
% 53.49/33.68 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB12, 2)) | v129(constB12, 2) | (~v100(constB12))),
% 53.49/33.68 inference(modus_ponens,[status(thm)],[3213, 3212])).
% 53.49/33.68 tff(3215,plain,
% 53.49/33.68 (v129(constB12, 2) | (~v100(constB12))),
% 53.49/33.68 inference(unit_resolution,[status(thm)],[3214, 1223, 3134])).
% 53.49/33.68 tff(3216,plain,
% 53.49/33.68 (v129(constB12, 2)),
% 53.49/33.68 inference(unit_resolution,[status(thm)],[3215, 3211])).
% 53.49/33.68 tff(3217,plain,
% 53.49/33.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB11, constB12)) | v127(constB11, 2) | (~v129(constB12, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB11, constB12)) | v127(constB11, 2) | (~v129(constB12, 2)))),
% 53.49/33.68 inference(rewrite,[status(thm)],[])).
% 53.49/33.68 tff(3218,plain,
% 53.49/33.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB11, constB12)) | v127(constB11, 2) | (~v129(constB12, 2)))),
% 53.49/33.68 inference(quant_inst,[status(thm)],[])).
% 53.49/33.68 tff(3219,plain,
% 53.49/33.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB11, constB12)) | v127(constB11, 2) | (~v129(constB12, 2))),
% 53.49/33.68 inference(modus_ponens,[status(thm)],[3218, 3217])).
% 53.49/33.68 tff(3220,plain,
% 53.49/33.68 (v127(constB11, 2) | (~v129(constB12, 2))),
% 53.49/33.68 inference(unit_resolution,[status(thm)],[3219, 1208, 2703])).
% 53.49/33.68 tff(3221,plain,
% 53.49/33.68 (v127(constB11, 2)),
% 53.49/33.68 inference(unit_resolution,[status(thm)],[3220, 3216])).
% 53.49/33.68 tff(3222,assumption,(~v26(constB11)), introduced(assumption)).
% 53.49/33.68 tff(3223,plain,
% 53.49/33.68 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB11, 2)) | v26(constB11) | v130(constB11, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB11, 2)) | v26(constB11) | v130(constB11, 2))),
% 53.49/33.68 inference(rewrite,[status(thm)],[])).
% 53.49/33.68 tff(3224,plain,
% 53.49/33.68 ((v26(constB11) | v130(constB11, 2) | (~v127(constB11, 2))) <=> ((~v127(constB11, 2)) | v26(constB11) | v130(constB11, 2))),
% 53.49/33.68 inference(rewrite,[status(thm)],[])).
% 53.49/33.68 tff(3225,plain,
% 53.49/33.68 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB11) | v130(constB11, 2) | (~v127(constB11, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB11, 2)) | v26(constB11) | v130(constB11, 2)))),
% 53.49/33.68 inference(monotonicity,[status(thm)],[3224])).
% 53.49/33.68 tff(3226,plain,
% 53.49/33.68 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB11) | v130(constB11, 2) | (~v127(constB11, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB11, 2)) | v26(constB11) | v130(constB11, 2))),
% 53.49/33.68 inference(transitivity,[status(thm)],[3225, 3223])).
% 53.49/33.68 tff(3227,plain,
% 53.49/33.68 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB11) | v130(constB11, 2) | (~v127(constB11, 2)))),
% 53.49/33.68 inference(quant_inst,[status(thm)],[])).
% 53.49/33.68 tff(3228,plain,
% 53.49/33.68 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB11, 2)) | v26(constB11) | v130(constB11, 2)),
% 53.49/33.68 inference(modus_ponens,[status(thm)],[3227, 3226])).
% 53.49/33.68 tff(3229,plain,
% 53.49/33.68 ((~v127(constB11, 2)) | v130(constB11, 2)),
% 53.49/33.68 inference(unit_resolution,[status(thm)],[3228, 1190, 3222])).
% 53.49/33.68 tff(3230,plain,
% 53.49/33.68 (v130(constB11, 2)),
% 53.49/33.68 inference(unit_resolution,[status(thm)],[3229, 3221])).
% 53.49/33.68 tff(3231,plain,
% 53.49/33.68 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB11)) | (~v130(constB11, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB11)) | (~v130(constB11, 2)))),
% 53.49/33.68 inference(rewrite,[status(thm)],[])).
% 53.49/33.68 tff(3232,plain,
% 53.49/33.68 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB11)) | (~v130(constB11, 2)))),
% 53.49/33.69 inference(quant_inst,[status(thm)],[])).
% 53.49/33.69 tff(3233,plain,
% 53.49/33.69 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB11)) | (~v130(constB11, 2))),
% 53.49/33.69 inference(modus_ponens,[status(thm)],[3232, 3231])).
% 53.49/33.69 tff(3234,plain,
% 53.49/33.69 (~v121(constB11)),
% 53.49/33.69 inference(unit_resolution,[status(thm)],[3233, 1821, 3230])).
% 53.49/33.69 tff(3235,plain,
% 53.49/33.69 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB11)) | (~v130(constB11, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB11)) | (~v130(constB11, 2)))),
% 53.49/33.69 inference(rewrite,[status(thm)],[])).
% 53.49/33.69 tff(3236,plain,
% 53.49/33.69 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB11)) | (~v130(constB11, 2)))),
% 53.49/33.69 inference(quant_inst,[status(thm)],[])).
% 53.49/33.69 tff(3237,plain,
% 53.49/33.69 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB11)) | (~v130(constB11, 2))),
% 53.49/33.69 inference(modus_ponens,[status(thm)],[3236, 3235])).
% 53.49/33.69 tff(3238,plain,
% 53.49/33.69 (~v119(constB11)),
% 53.49/33.69 inference(unit_resolution,[status(thm)],[3237, 1176, 3230])).
% 53.49/33.69 tff(3239,plain,
% 53.49/33.69 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB12, 0)) | v129(constB12, 0) | (~v100(constB12)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB12, 0)) | v129(constB12, 0) | (~v100(constB12)))),
% 53.49/33.69 inference(rewrite,[status(thm)],[])).
% 53.49/33.69 tff(3240,plain,
% 53.49/33.69 (((~v90(constB12, 0)) | (~v100(constB12)) | v129(constB12, 0)) <=> ((~v90(constB12, 0)) | v129(constB12, 0) | (~v100(constB12)))),
% 53.49/33.69 inference(rewrite,[status(thm)],[])).
% 53.49/33.69 tff(3241,plain,
% 53.49/33.69 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB12, 0)) | (~v100(constB12)) | v129(constB12, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB12, 0)) | v129(constB12, 0) | (~v100(constB12))))),
% 53.49/33.69 inference(monotonicity,[status(thm)],[3240])).
% 53.49/33.69 tff(3242,plain,
% 53.49/33.69 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB12, 0)) | (~v100(constB12)) | v129(constB12, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB12, 0)) | v129(constB12, 0) | (~v100(constB12)))),
% 53.49/33.69 inference(transitivity,[status(thm)],[3241, 3239])).
% 53.49/33.69 tff(3243,plain,
% 53.49/33.69 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB12, 0)) | (~v100(constB12)) | v129(constB12, 0))),
% 53.49/33.69 inference(quant_inst,[status(thm)],[])).
% 53.49/33.69 tff(3244,plain,
% 53.49/33.69 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB12, 0)) | v129(constB12, 0) | (~v100(constB12))),
% 53.49/33.69 inference(modus_ponens,[status(thm)],[3243, 3242])).
% 53.49/33.69 tff(3245,plain,
% 53.49/33.69 (v129(constB12, 0) | (~v100(constB12))),
% 53.49/33.69 inference(unit_resolution,[status(thm)],[3244, 1704, 3164])).
% 53.49/33.69 tff(3246,plain,
% 53.49/33.69 (v129(constB12, 0)),
% 53.49/33.69 inference(unit_resolution,[status(thm)],[3245, 3211])).
% 53.49/33.69 tff(3247,plain,
% 53.49/33.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB11, constB12)) | v127(constB11, 0) | (~v129(constB12, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB11, constB12)) | v127(constB11, 0) | (~v129(constB12, 0)))),
% 53.49/33.69 inference(rewrite,[status(thm)],[])).
% 53.49/33.69 tff(3248,plain,
% 53.49/33.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB11, constB12)) | v127(constB11, 0) | (~v129(constB12, 0)))),
% 53.49/33.69 inference(quant_inst,[status(thm)],[])).
% 53.49/33.69 tff(3249,plain,
% 53.49/33.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB11, constB12)) | v127(constB11, 0) | (~v129(constB12, 0))),
% 53.49/33.69 inference(modus_ponens,[status(thm)],[3248, 3247])).
% 53.49/33.69 tff(3250,plain,
% 53.49/33.69 (v127(constB11, 0) | (~v129(constB12, 0))),
% 53.49/33.69 inference(unit_resolution,[status(thm)],[3249, 1689, 2703])).
% 53.49/33.69 tff(3251,plain,
% 53.49/33.69 (v127(constB11, 0)),
% 53.49/33.69 inference(unit_resolution,[status(thm)],[3250, 3246])).
% 53.49/33.69 tff(3252,plain,
% 53.49/33.69 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB11, 0)) | v26(constB11) | v130(constB11, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB11, 0)) | v26(constB11) | v130(constB11, 0))),
% 53.49/33.69 inference(rewrite,[status(thm)],[])).
% 53.49/33.69 tff(3253,plain,
% 53.49/33.69 ((v26(constB11) | v130(constB11, 0) | (~v127(constB11, 0))) <=> ((~v127(constB11, 0)) | v26(constB11) | v130(constB11, 0))),
% 53.49/33.69 inference(rewrite,[status(thm)],[])).
% 53.49/33.69 tff(3254,plain,
% 53.49/33.69 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB11) | v130(constB11, 0) | (~v127(constB11, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB11, 0)) | v26(constB11) | v130(constB11, 0)))),
% 53.49/33.69 inference(monotonicity,[status(thm)],[3253])).
% 53.49/33.69 tff(3255,plain,
% 53.49/33.69 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB11) | v130(constB11, 0) | (~v127(constB11, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB11, 0)) | v26(constB11) | v130(constB11, 0))),
% 53.49/33.69 inference(transitivity,[status(thm)],[3254, 3252])).
% 53.49/33.69 tff(3256,plain,
% 53.49/33.69 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB11) | v130(constB11, 0) | (~v127(constB11, 0)))),
% 53.49/33.69 inference(quant_inst,[status(thm)],[])).
% 53.49/33.69 tff(3257,plain,
% 53.49/33.69 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB11, 0)) | v26(constB11) | v130(constB11, 0)),
% 53.49/33.69 inference(modus_ponens,[status(thm)],[3256, 3255])).
% 53.49/33.69 tff(3258,plain,
% 53.49/33.69 ((~v127(constB11, 0)) | v130(constB11, 0)),
% 53.49/33.69 inference(unit_resolution,[status(thm)],[3257, 1671, 3222])).
% 53.49/33.69 tff(3259,plain,
% 53.49/33.69 (v130(constB11, 0)),
% 53.49/33.69 inference(unit_resolution,[status(thm)],[3258, 3251])).
% 53.49/33.69 tff(3260,plain,
% 53.49/33.69 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB11)) | (~v130(constB11, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB11)) | (~v130(constB11, 0)))),
% 53.49/33.69 inference(rewrite,[status(thm)],[])).
% 53.49/33.69 tff(3261,plain,
% 53.49/33.69 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB11)) | (~v130(constB11, 0)))),
% 53.49/33.69 inference(quant_inst,[status(thm)],[])).
% 53.49/33.69 tff(3262,plain,
% 53.49/33.69 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB11)) | (~v130(constB11, 0))),
% 53.49/33.69 inference(modus_ponens,[status(thm)],[3261, 3260])).
% 53.49/33.69 tff(3263,plain,
% 53.49/33.69 (~v120(constB11)),
% 53.49/33.69 inference(unit_resolution,[status(thm)],[3262, 1657, 3259])).
% 53.49/33.69 tff(3264,plain,
% 53.49/33.69 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB11)) | (~v130(constB11, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB11)) | (~v130(constB11, 0)))),
% 53.49/33.69 inference(rewrite,[status(thm)],[])).
% 53.49/33.69 tff(3265,plain,
% 53.49/33.69 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB11)) | (~v130(constB11, 0)))),
% 53.49/33.69 inference(quant_inst,[status(thm)],[])).
% 53.49/33.69 tff(3266,plain,
% 53.49/33.69 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB11)) | (~v130(constB11, 0))),
% 53.49/33.69 inference(modus_ponens,[status(thm)],[3265, 3264])).
% 53.49/33.69 tff(3267,plain,
% 53.49/33.69 (~v122(constB11)),
% 53.49/33.69 inference(unit_resolution,[status(thm)],[3266, 2407, 3259])).
% 53.49/33.69 tff(3268,plain,
% 53.49/33.69 (^[VarCurr: state_type] : refl(((~v124(VarCurr)) | (~v130(VarCurr, 0))) <=> ((~v124(VarCurr)) | (~v130(VarCurr, 0))))),
% 53.49/33.69 inference(bind,[status(th)],[])).
% 53.49/33.69 tff(3269,plain,
% 53.49/33.69 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))),
% 53.49/33.69 inference(quant_intro,[status(thm)],[3268])).
% 53.49/33.69 tff(3270,plain,
% 53.49/33.69 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))),
% 53.49/33.69 inference(rewrite,[status(thm)],[])).
% 53.49/33.69 tff(3271,axiom,(![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5_1_1')).
% 53.49/33.69 tff(3272,plain,
% 53.49/33.69 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))),
% 53.49/33.69 inference(modus_ponens,[status(thm)],[3271, 3270])).
% 53.49/33.69 tff(3273,plain,(
% 53.49/33.69 ![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))),
% 53.49/33.69 inference(skolemize,[status(sab)],[3272])).
% 53.49/33.69 tff(3274,plain,
% 53.49/33.69 (![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))),
% 53.49/33.69 inference(modus_ponens,[status(thm)],[3273, 3269])).
% 53.49/33.69 tff(3275,plain,
% 53.49/33.69 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB11)) | (~v130(constB11, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB11)) | (~v130(constB11, 0)))),
% 53.49/33.69 inference(rewrite,[status(thm)],[])).
% 53.49/33.69 tff(3276,plain,
% 53.49/33.69 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB11)) | (~v130(constB11, 0)))),
% 53.49/33.69 inference(quant_inst,[status(thm)],[])).
% 53.49/33.69 tff(3277,plain,
% 53.49/33.69 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB11)) | (~v130(constB11, 0))),
% 53.49/33.69 inference(modus_ponens,[status(thm)],[3276, 3275])).
% 53.49/33.69 tff(3278,plain,
% 53.49/33.69 (~v124(constB11)),
% 53.49/33.69 inference(unit_resolution,[status(thm)],[3277, 3274, 3259])).
% 53.49/33.69 tff(3279,plain,
% 53.49/33.69 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB12, 1)) | v129(constB12, 1) | (~v100(constB12)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB12, 1)) | v129(constB12, 1) | (~v100(constB12)))),
% 53.49/33.69 inference(rewrite,[status(thm)],[])).
% 53.49/33.69 tff(3280,plain,
% 53.49/33.69 (((~v90(constB12, 1)) | (~v100(constB12)) | v129(constB12, 1)) <=> ((~v90(constB12, 1)) | v129(constB12, 1) | (~v100(constB12)))),
% 53.49/33.69 inference(rewrite,[status(thm)],[])).
% 53.49/33.69 tff(3281,plain,
% 53.49/33.69 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB12, 1)) | (~v100(constB12)) | v129(constB12, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB12, 1)) | v129(constB12, 1) | (~v100(constB12))))),
% 53.49/33.69 inference(monotonicity,[status(thm)],[3280])).
% 53.49/33.69 tff(3282,plain,
% 53.49/33.69 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB12, 1)) | (~v100(constB12)) | v129(constB12, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB12, 1)) | v129(constB12, 1) | (~v100(constB12)))),
% 53.49/33.69 inference(transitivity,[status(thm)],[3281, 3279])).
% 53.49/33.69 tff(3283,plain,
% 53.49/33.69 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB12, 1)) | (~v100(constB12)) | v129(constB12, 1))),
% 53.49/33.69 inference(quant_inst,[status(thm)],[])).
% 53.49/33.69 tff(3284,plain,
% 53.49/33.69 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB12, 1)) | v129(constB12, 1) | (~v100(constB12))),
% 53.49/33.69 inference(modus_ponens,[status(thm)],[3283, 3282])).
% 53.49/33.69 tff(3285,plain,
% 53.49/33.69 (v129(constB12, 1) | (~v100(constB12))),
% 53.49/33.69 inference(unit_resolution,[status(thm)],[3284, 1309, 3153])).
% 53.49/33.69 tff(3286,plain,
% 53.49/33.69 (v129(constB12, 1)),
% 53.49/33.69 inference(unit_resolution,[status(thm)],[3285, 3211])).
% 53.49/33.69 tff(3287,plain,
% 53.49/33.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB11, constB12)) | v127(constB11, 1) | (~v129(constB12, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB11, constB12)) | v127(constB11, 1) | (~v129(constB12, 1)))),
% 53.49/33.69 inference(rewrite,[status(thm)],[])).
% 53.49/33.69 tff(3288,plain,
% 53.49/33.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB11, constB12)) | v127(constB11, 1) | (~v129(constB12, 1)))),
% 53.49/33.69 inference(quant_inst,[status(thm)],[])).
% 53.49/33.69 tff(3289,plain,
% 53.49/33.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB11, constB12)) | v127(constB11, 1) | (~v129(constB12, 1))),
% 53.49/33.69 inference(modus_ponens,[status(thm)],[3288, 3287])).
% 53.49/33.69 tff(3290,plain,
% 53.49/33.69 (v127(constB11, 1) | (~v129(constB12, 1))),
% 53.49/33.69 inference(unit_resolution,[status(thm)],[3289, 1294, 2703])).
% 53.49/33.69 tff(3291,plain,
% 53.49/33.69 (v127(constB11, 1)),
% 53.49/33.69 inference(unit_resolution,[status(thm)],[3290, 3286])).
% 53.49/33.69 tff(3292,plain,
% 53.49/33.69 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB11, 1)) | v26(constB11) | v130(constB11, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB11, 1)) | v26(constB11) | v130(constB11, 1))),
% 53.49/33.69 inference(rewrite,[status(thm)],[])).
% 53.49/33.69 tff(3293,plain,
% 53.49/33.69 ((v26(constB11) | v130(constB11, 1) | (~v127(constB11, 1))) <=> ((~v127(constB11, 1)) | v26(constB11) | v130(constB11, 1))),
% 53.49/33.69 inference(rewrite,[status(thm)],[])).
% 53.49/33.69 tff(3294,plain,
% 53.49/33.69 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB11) | v130(constB11, 1) | (~v127(constB11, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB11, 1)) | v26(constB11) | v130(constB11, 1)))),
% 53.49/33.69 inference(monotonicity,[status(thm)],[3293])).
% 53.49/33.69 tff(3295,plain,
% 53.49/33.69 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB11) | v130(constB11, 1) | (~v127(constB11, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB11, 1)) | v26(constB11) | v130(constB11, 1))),
% 53.49/33.69 inference(transitivity,[status(thm)],[3294, 3292])).
% 53.49/33.69 tff(3296,plain,
% 53.49/33.69 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB11) | v130(constB11, 1) | (~v127(constB11, 1)))),
% 53.49/33.69 inference(quant_inst,[status(thm)],[])).
% 53.49/33.69 tff(3297,plain,
% 53.49/33.69 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB11, 1)) | v26(constB11) | v130(constB11, 1)),
% 53.49/33.69 inference(modus_ponens,[status(thm)],[3296, 3295])).
% 53.49/33.69 tff(3298,plain,
% 53.49/33.69 ((~v127(constB11, 1)) | v130(constB11, 1)),
% 53.49/33.69 inference(unit_resolution,[status(thm)],[3297, 1276, 3222])).
% 53.49/33.69 tff(3299,plain,
% 53.49/33.69 (v130(constB11, 1)),
% 53.49/33.69 inference(unit_resolution,[status(thm)],[3298, 3291])).
% 53.49/33.69 tff(3300,plain,
% 53.49/33.69 (^[VarCurr: state_type] : refl((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1))) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1))))),
% 53.49/33.69 inference(bind,[status(th)],[])).
% 53.49/33.69 tff(3301,plain,
% 53.49/33.69 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1))) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))),
% 53.49/33.69 inference(quant_intro,[status(thm)],[3300])).
% 53.49/33.69 tff(3302,plain,
% 53.49/33.69 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1))) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))),
% 53.49/33.69 inference(rewrite,[status(thm)],[])).
% 53.49/33.69 tff(3303,plain,
% 53.49/33.69 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr))), ((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr)) | v122(VarCurr)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr)) | v122(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr))), ((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr)))), (((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr)) | v123(VarCurr)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr)) | v123(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr))), (((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr)))), ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr)) | v124(VarCurr)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr)) | v124(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr))), ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)))), (((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | (~v130(VarCurr, 1))) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)) | (~v130(VarCurr, 1))))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)) | (~v130(VarCurr, 1))) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))), (((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | (~v130(VarCurr, 1))) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))))),
% 53.49/33.69 inference(bind,[status(th)],[])).
% 53.49/33.69 tff(3304,plain,
% 53.49/33.69 (![VarCurr: state_type] : ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | (~v130(VarCurr, 1))) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))),
% 53.49/33.69 inference(quant_intro,[status(thm)],[3303])).
% 53.49/33.69 tff(3305,axiom,(![VarCurr: state_type] : ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | (~v130(VarCurr, 1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6_1_2')).
% 53.49/33.69 tff(3306,plain,
% 53.49/33.69 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))),
% 53.49/33.69 inference(modus_ponens,[status(thm)],[3305, 3304])).
% 53.49/33.69 tff(3307,plain,
% 53.49/33.69 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))),
% 53.49/33.69 inference(modus_ponens,[status(thm)],[3306, 3302])).
% 53.49/33.69 tff(3308,plain,(
% 53.49/33.69 ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))),
% 53.49/33.69 inference(skolemize,[status(sab)],[3307])).
% 53.49/33.69 tff(3309,plain,
% 53.49/33.69 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))),
% 53.49/33.69 inference(modus_ponens,[status(thm)],[3308, 3301])).
% 53.49/33.69 tff(3310,plain,
% 53.49/33.69 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB11) | v120(constB11) | v121(constB11) | v122(constB11) | v123(constB11) | v124(constB11) | (~v130(constB11, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB11) | v120(constB11) | v121(constB11) | v122(constB11) | v123(constB11) | v124(constB11) | (~v130(constB11, 1)))),
% 53.49/33.69 inference(rewrite,[status(thm)],[])).
% 53.49/33.69 tff(3311,plain,
% 53.49/33.69 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB11) | v120(constB11) | v121(constB11) | v122(constB11) | v123(constB11) | v124(constB11) | (~v130(constB11, 1)))),
% 53.49/33.69 inference(quant_inst,[status(thm)],[])).
% 53.49/33.69 tff(3312,plain,
% 53.49/33.69 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB11) | v120(constB11) | v121(constB11) | v122(constB11) | v123(constB11) | v124(constB11) | (~v130(constB11, 1))),
% 53.49/33.69 inference(modus_ponens,[status(thm)],[3311, 3310])).
% 53.49/33.69 tff(3313,plain,
% 53.49/33.69 (v123(constB11)),
% 53.49/33.69 inference(unit_resolution,[status(thm)],[3312, 3309, 3299, 3278, 3267, 3263, 3238, 3234])).
% 53.49/33.69 tff(3314,plain,
% 53.49/33.69 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB11)) | (~v130(constB11, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB11)) | (~v130(constB11, 1)))),
% 53.49/33.69 inference(rewrite,[status(thm)],[])).
% 53.49/33.69 tff(3315,plain,
% 53.49/33.69 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB11)) | (~v130(constB11, 1)))),
% 53.49/33.69 inference(quant_inst,[status(thm)],[])).
% 53.49/33.69 tff(3316,plain,
% 53.49/33.69 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB11)) | (~v130(constB11, 1))),
% 53.49/33.69 inference(modus_ponens,[status(thm)],[3315, 3314])).
% 53.49/33.69 tff(3317,plain,
% 53.49/33.69 ($false),
% 53.49/33.69 inference(unit_resolution,[status(thm)],[3316, 2581, 3299, 3313])).
% 53.49/33.69 tff(3318,plain,((~v100(constB12)) | v26(constB11) | (~v90(constB12, 1)) | (~v90(constB12, 2)) | (~v90(constB12, 0))), inference(lemma,lemma(discharge,[]))).
% 53.49/33.69 tff(3319,plain,
% 53.49/33.69 (v26(constB11)),
% 53.49/33.69 inference(unit_resolution,[status(thm)],[3318, 3210, 3152, 3134, 3133])).
% 53.49/33.69 tff(3320,plain,
% 53.49/33.69 (v129(constB12, 0) | (~v100(constB12))),
% 53.49/33.69 inference(unit_resolution,[status(thm)],[3244, 1704, 3133])).
% 53.49/33.69 tff(3321,plain,
% 53.49/33.69 (v129(constB12, 0)),
% 53.49/33.69 inference(unit_resolution,[status(thm)],[3320, 3210])).
% 53.49/33.69 tff(3322,plain,
% 53.49/33.69 (v127(constB11, 0)),
% 53.49/33.69 inference(unit_resolution,[status(thm)],[3250, 3321])).
% 53.49/33.69 tff(3323,plain,
% 53.49/33.69 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | ((~v26(constB11)) | (~v127(constB11, 0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | (~v26(constB11)) | (~v127(constB11, 0)))),
% 53.49/33.69 inference(rewrite,[status(thm)],[])).
% 53.49/33.69 tff(3324,plain,
% 53.49/33.69 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | ((~v26(constB11)) | (~v127(constB11, 0)))),
% 53.49/33.69 inference(quant_inst,[status(thm)],[])).
% 53.49/33.69 tff(3325,plain,
% 53.49/33.69 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | (~v26(constB11)) | (~v127(constB11, 0))),
% 53.49/33.69 inference(modus_ponens,[status(thm)],[3324, 3323])).
% 53.49/33.69 tff(3326,plain,
% 53.49/33.69 ($false),
% 53.49/33.69 inference(unit_resolution,[status(thm)],[3325, 2241, 3322, 3319])).
% 53.49/33.69 tff(3327,plain,(v100(constB14) | (~v90(constB12, 2)) | (~v90(constB14, 0)) | (~v90(constB14, 1))), inference(lemma,lemma(discharge,[]))).
% 53.49/33.69 tff(3328,plain,
% 53.49/33.69 (~v90(constB14, 1)),
% 53.49/33.69 inference(unit_resolution,[status(thm)],[3327, 3115, 2929, 3106])).
% 53.49/33.69 tff(3329,plain,
% 53.49/33.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB13, 1)) | (~nextState(constB13, constB14)) | v100(constB14) | v90(constB14, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB13, 1)) | (~nextState(constB13, constB14)) | v100(constB14) | v90(constB14, 1))),
% 53.49/33.69 inference(rewrite,[status(thm)],[])).
% 53.49/33.69 tff(3330,plain,
% 53.49/33.69 (((~nextState(constB13, constB14)) | (~v90(constB13, 1)) | v100(constB14) | v90(constB14, 1)) <=> ((~v90(constB13, 1)) | (~nextState(constB13, constB14)) | v100(constB14) | v90(constB14, 1))),
% 53.49/33.69 inference(rewrite,[status(thm)],[])).
% 53.49/33.69 tff(3331,plain,
% 53.49/33.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB13, constB14)) | (~v90(constB13, 1)) | v100(constB14) | v90(constB14, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB13, 1)) | (~nextState(constB13, constB14)) | v100(constB14) | v90(constB14, 1)))),
% 53.49/33.69 inference(monotonicity,[status(thm)],[3330])).
% 53.49/33.69 tff(3332,plain,
% 53.49/33.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB13, constB14)) | (~v90(constB13, 1)) | v100(constB14) | v90(constB14, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB13, 1)) | (~nextState(constB13, constB14)) | v100(constB14) | v90(constB14, 1))),
% 53.49/33.69 inference(transitivity,[status(thm)],[3331, 3329])).
% 53.49/33.69 tff(3333,plain,
% 53.49/33.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB13, constB14)) | (~v90(constB13, 1)) | v100(constB14) | v90(constB14, 1))),
% 53.49/33.69 inference(quant_inst,[status(thm)],[])).
% 53.49/33.69 tff(3334,plain,
% 53.49/33.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB13, 1)) | (~nextState(constB13, constB14)) | v100(constB14) | v90(constB14, 1)),
% 53.49/33.69 inference(modus_ponens,[status(thm)],[3333, 3332])).
% 53.49/33.69 tff(3335,plain,
% 53.49/33.69 ((~v90(constB13, 1)) | v100(constB14) | v90(constB14, 1)),
% 53.49/33.69 inference(unit_resolution,[status(thm)],[3334, 1641, 2923])).
% 53.49/33.69 tff(3336,plain,
% 53.49/33.69 ($false),
% 53.49/33.69 inference(unit_resolution,[status(thm)],[3335, 3328, 3098, 2929])).
% 53.49/33.69 tff(3337,plain,(v100(constB14)), inference(lemma,lemma(discharge,[]))).
% 53.49/33.69 tff(3338,plain,
% 53.49/33.69 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB14, 2)) | v129(constB14, 2) | (~v100(constB14)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB14, 2)) | v129(constB14, 2) | (~v100(constB14)))),
% 53.49/33.69 inference(rewrite,[status(thm)],[])).
% 53.49/33.69 tff(3339,plain,
% 53.49/33.69 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB14, 2)) | v129(constB14, 2) | (~v100(constB14)))),
% 53.49/33.69 inference(quant_inst,[status(thm)],[])).
% 53.49/33.69 tff(3340,plain,
% 53.49/33.69 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB14, 2)) | v129(constB14, 2) | (~v100(constB14))),
% 53.49/33.69 inference(modus_ponens,[status(thm)],[3339, 3338])).
% 53.49/33.69 tff(3341,plain,
% 53.49/33.69 ((~v90(constB14, 2)) | v129(constB14, 2)),
% 53.49/33.69 inference(unit_resolution,[status(thm)],[3340, 1223, 3337])).
% 53.49/33.69 tff(3342,plain,
% 53.49/33.69 (~v90(constB14, 2)),
% 53.49/33.69 inference(unit_resolution,[status(thm)],[3341, 2928])).
% 53.49/33.69 tff(3343,plain,
% 53.49/33.69 ((~v1(constB15)) <=> (~v1(constB15))),
% 53.49/33.69 inference(rewrite,[status(thm)],[])).
% 53.49/33.69 tff(3344,axiom,(~v1(constB15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_15_1_1')).
% 53.49/33.69 tff(3345,plain,
% 53.49/33.69 (~v1(constB15)),
% 53.49/33.69 inference(modus_ponens,[status(thm)],[3344, 3343])).
% 53.49/33.69 tff(3346,plain,
% 53.49/33.69 (nextState(constB14, constB15) <=> nextState(constB14, constB15)),
% 53.49/33.69 inference(rewrite,[status(thm)],[])).
% 53.49/33.69 tff(3347,axiom,(nextState(constB14, constB15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_14_1')).
% 53.49/33.69 tff(3348,plain,
% 53.49/33.69 (nextState(constB14, constB15)),
% 53.49/33.69 inference(modus_ponens,[status(thm)],[3347, 3346])).
% 53.49/33.69 tff(3349,plain,
% 53.49/33.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15)))),
% 53.49/33.69 inference(rewrite,[status(thm)],[])).
% 53.49/33.69 tff(3350,plain,
% 53.49/33.69 (((~nextState(constB14, constB15)) | (~v101(constB15)) | v1(constB15)) <=> (v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15)))),
% 53.49/33.69 inference(rewrite,[status(thm)],[])).
% 53.49/33.69 tff(3351,plain,
% 53.49/33.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB14, constB15)) | (~v101(constB15)) | v1(constB15))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15))))),
% 53.49/33.69 inference(monotonicity,[status(thm)],[3350])).
% 53.49/33.69 tff(3352,plain,
% 53.49/33.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB14, constB15)) | (~v101(constB15)) | v1(constB15))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15)))),
% 53.49/33.69 inference(transitivity,[status(thm)],[3351, 3349])).
% 53.49/33.69 tff(3353,plain,
% 53.49/33.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB14, constB15)) | (~v101(constB15)) | v1(constB15))),
% 53.49/33.69 inference(quant_inst,[status(thm)],[])).
% 53.49/33.69 tff(3354,plain,
% 53.49/33.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB15) | (~nextState(constB14, constB15)) | (~v101(constB15))),
% 53.49/33.69 inference(modus_ponens,[status(thm)],[3353, 3352])).
% 53.49/33.69 tff(3355,plain,
% 53.49/33.69 (~v101(constB15)),
% 53.49/33.69 inference(unit_resolution,[status(thm)],[3354, 873, 3348, 3345])).
% 53.49/33.69 tff(3356,plain,
% 53.49/33.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB14, constB15)) | v101(constB15) | (~v100(constB15)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB14, constB15)) | v101(constB15) | (~v100(constB15)))),
% 53.49/33.69 inference(rewrite,[status(thm)],[])).
% 53.49/33.69 tff(3357,plain,
% 53.49/33.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB14, constB15)) | v101(constB15) | (~v100(constB15)))),
% 53.49/33.69 inference(quant_inst,[status(thm)],[])).
% 53.49/33.69 tff(3358,plain,
% 53.49/33.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB14, constB15)) | v101(constB15) | (~v100(constB15))),
% 53.49/33.69 inference(modus_ponens,[status(thm)],[3357, 3356])).
% 53.49/33.69 tff(3359,plain,
% 53.49/33.69 (v101(constB15) | (~v100(constB15))),
% 53.49/33.69 inference(unit_resolution,[status(thm)],[3358, 890, 3348])).
% 53.49/33.69 tff(3360,plain,
% 53.49/33.69 (~v100(constB15)),
% 53.49/33.69 inference(unit_resolution,[status(thm)],[3359, 3355])).
% 53.49/33.69 tff(3361,plain,
% 53.49/33.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB14, 2) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB14, 2) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, 2)))),
% 53.49/33.69 inference(rewrite,[status(thm)],[])).
% 53.49/33.69 tff(3362,plain,
% 53.49/33.69 (((~nextState(constB14, constB15)) | v90(constB14, 2) | v100(constB15) | (~v90(constB15, 2))) <=> (v90(constB14, 2) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, 2)))),
% 53.49/33.69 inference(rewrite,[status(thm)],[])).
% 53.49/33.69 tff(3363,plain,
% 53.49/33.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB14, constB15)) | v90(constB14, 2) | v100(constB15) | (~v90(constB15, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB14, 2) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, 2))))),
% 53.49/33.69 inference(monotonicity,[status(thm)],[3362])).
% 53.49/33.69 tff(3364,plain,
% 53.49/33.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB14, constB15)) | v90(constB14, 2) | v100(constB15) | (~v90(constB15, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB14, 2) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, 2)))),
% 53.49/33.69 inference(transitivity,[status(thm)],[3363, 3361])).
% 53.49/33.69 tff(3365,plain,
% 53.49/33.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB14, constB15)) | v90(constB14, 2) | v100(constB15) | (~v90(constB15, 2)))),
% 53.49/33.69 inference(quant_inst,[status(thm)],[])).
% 53.49/33.69 tff(3366,plain,
% 53.49/33.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB14, 2) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, 2))),
% 53.49/33.69 inference(modus_ponens,[status(thm)],[3365, 3364])).
% 53.49/33.69 tff(3367,plain,
% 53.49/33.69 (v90(constB14, 2) | v100(constB15) | (~v90(constB15, 2))),
% 53.49/33.69 inference(unit_resolution,[status(thm)],[3366, 905, 3348])).
% 53.49/33.69 tff(3368,plain,
% 53.49/33.69 (v90(constB14, 2) | (~v90(constB15, 2))),
% 53.49/33.69 inference(unit_resolution,[status(thm)],[3367, 3360])).
% 53.49/33.69 tff(3369,plain,
% 53.49/33.69 (~v90(constB15, 2)),
% 53.49/33.69 inference(unit_resolution,[status(thm)],[3368, 3342])).
% 53.49/33.69 tff(3370,plain,
% 53.49/33.69 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, 1)))),
% 53.49/33.69 inference(rewrite,[status(thm)],[])).
% 53.49/33.69 tff(3371,plain,
% 53.49/33.69 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, 1)))),
% 53.49/33.69 inference(quant_inst,[status(thm)],[])).
% 53.49/33.69 tff(3372,plain,
% 53.49/33.69 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | (~v130(constB13, 1))),
% 53.49/33.69 inference(modus_ponens,[status(thm)],[3371, 3370])).
% 53.49/33.69 tff(3373,plain,
% 53.49/33.69 (~v130(constB13, 1)),
% 53.49/33.69 inference(unit_resolution,[status(thm)],[3372, 3309, 2894, 2883, 2872, 2861, 2850, 2801])).
% 53.49/33.69 tff(3374,plain,
% 53.49/33.69 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB13, 1)) | v26(constB13) | v130(constB13, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB13, 1)) | v26(constB13) | v130(constB13, 1))),
% 53.49/33.69 inference(rewrite,[status(thm)],[])).
% 53.49/33.69 tff(3375,plain,
% 53.49/33.69 ((v26(constB13) | v130(constB13, 1) | (~v127(constB13, 1))) <=> ((~v127(constB13, 1)) | v26(constB13) | v130(constB13, 1))),
% 53.49/33.69 inference(rewrite,[status(thm)],[])).
% 53.49/33.69 tff(3376,plain,
% 53.49/33.69 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB13) | v130(constB13, 1) | (~v127(constB13, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB13, 1)) | v26(constB13) | v130(constB13, 1)))),
% 53.49/33.69 inference(monotonicity,[status(thm)],[3375])).
% 53.49/33.69 tff(3377,plain,
% 53.49/33.69 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB13) | v130(constB13, 1) | (~v127(constB13, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB13, 1)) | v26(constB13) | v130(constB13, 1))),
% 53.49/33.69 inference(transitivity,[status(thm)],[3376, 3374])).
% 53.49/33.69 tff(3378,plain,
% 53.49/33.69 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB13) | v130(constB13, 1) | (~v127(constB13, 1)))),
% 53.49/33.69 inference(quant_inst,[status(thm)],[])).
% 53.49/33.69 tff(3379,plain,
% 53.49/33.69 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB13, 1)) | v26(constB13) | v130(constB13, 1)),
% 53.49/33.69 inference(modus_ponens,[status(thm)],[3378, 3377])).
% 53.49/33.69 tff(3380,plain,
% 53.49/33.69 ((~v127(constB13, 1)) | v130(constB13, 1)),
% 53.49/33.69 inference(unit_resolution,[status(thm)],[3379, 1276, 2912])).
% 53.49/33.69 tff(3381,plain,
% 53.49/33.69 (~v127(constB13, 1)),
% 53.49/33.69 inference(unit_resolution,[status(thm)],[3380, 3373])).
% 53.49/33.69 tff(3382,plain,
% 53.49/33.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB13, constB14)) | v127(constB13, 1) | (~v129(constB14, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB13, constB14)) | v127(constB13, 1) | (~v129(constB14, 1)))),
% 53.49/33.69 inference(rewrite,[status(thm)],[])).
% 53.49/33.69 tff(3383,plain,
% 53.49/33.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB13, constB14)) | v127(constB13, 1) | (~v129(constB14, 1)))),
% 53.49/33.69 inference(quant_inst,[status(thm)],[])).
% 53.49/33.69 tff(3384,plain,
% 53.49/33.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB13, constB14)) | v127(constB13, 1) | (~v129(constB14, 1))),
% 53.49/33.69 inference(modus_ponens,[status(thm)],[3383, 3382])).
% 53.49/33.69 tff(3385,plain,
% 53.49/33.69 (v127(constB13, 1) | (~v129(constB14, 1))),
% 53.49/33.69 inference(unit_resolution,[status(thm)],[3384, 1294, 2923])).
% 53.49/33.69 tff(3386,plain,
% 53.49/33.69 (~v129(constB14, 1)),
% 53.49/33.69 inference(unit_resolution,[status(thm)],[3385, 3381])).
% 53.49/33.69 tff(3387,plain,
% 53.49/33.69 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB14, 1)) | v129(constB14, 1) | (~v100(constB14)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB14, 1)) | v129(constB14, 1) | (~v100(constB14)))),
% 53.49/33.69 inference(rewrite,[status(thm)],[])).
% 53.49/33.69 tff(3388,plain,
% 53.49/33.69 (((~v90(constB14, 1)) | (~v100(constB14)) | v129(constB14, 1)) <=> ((~v90(constB14, 1)) | v129(constB14, 1) | (~v100(constB14)))),
% 53.49/33.69 inference(rewrite,[status(thm)],[])).
% 53.49/33.69 tff(3389,plain,
% 53.49/33.69 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB14, 1)) | (~v100(constB14)) | v129(constB14, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB14, 1)) | v129(constB14, 1) | (~v100(constB14))))),
% 53.49/33.69 inference(monotonicity,[status(thm)],[3388])).
% 53.49/33.69 tff(3390,plain,
% 53.49/33.69 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB14, 1)) | (~v100(constB14)) | v129(constB14, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB14, 1)) | v129(constB14, 1) | (~v100(constB14)))),
% 53.49/33.69 inference(transitivity,[status(thm)],[3389, 3387])).
% 53.49/33.69 tff(3391,plain,
% 53.49/33.69 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB14, 1)) | (~v100(constB14)) | v129(constB14, 1))),
% 53.49/33.69 inference(quant_inst,[status(thm)],[])).
% 53.49/33.69 tff(3392,plain,
% 53.49/33.69 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB14, 1)) | v129(constB14, 1) | (~v100(constB14))),
% 53.49/33.69 inference(modus_ponens,[status(thm)],[3391, 3390])).
% 53.49/33.69 tff(3393,plain,
% 53.49/33.69 ((~v90(constB14, 1)) | v129(constB14, 1)),
% 53.49/33.69 inference(unit_resolution,[status(thm)],[3392, 1309, 3337])).
% 53.49/33.69 tff(3394,plain,
% 53.49/33.69 (~v90(constB14, 1)),
% 53.49/33.69 inference(unit_resolution,[status(thm)],[3393, 3386])).
% 53.49/33.69 tff(3395,plain,
% 53.49/33.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB14, 1) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB14, 1) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, 1)))),
% 53.49/33.69 inference(rewrite,[status(thm)],[])).
% 53.49/33.69 tff(3396,plain,
% 53.49/33.69 (((~nextState(constB14, constB15)) | v90(constB14, 1) | v100(constB15) | (~v90(constB15, 1))) <=> (v90(constB14, 1) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, 1)))),
% 53.49/33.69 inference(rewrite,[status(thm)],[])).
% 53.49/33.69 tff(3397,plain,
% 53.49/33.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB14, constB15)) | v90(constB14, 1) | v100(constB15) | (~v90(constB15, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB14, 1) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, 1))))),
% 53.49/33.69 inference(monotonicity,[status(thm)],[3396])).
% 53.49/33.69 tff(3398,plain,
% 53.49/33.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB14, constB15)) | v90(constB14, 1) | v100(constB15) | (~v90(constB15, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB14, 1) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, 1)))),
% 53.49/33.69 inference(transitivity,[status(thm)],[3397, 3395])).
% 53.49/33.69 tff(3399,plain,
% 53.49/33.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB14, constB15)) | v90(constB14, 1) | v100(constB15) | (~v90(constB15, 1)))),
% 53.49/33.69 inference(quant_inst,[status(thm)],[])).
% 53.49/33.69 tff(3400,plain,
% 53.49/33.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB14, 1) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, 1))),
% 53.49/33.69 inference(modus_ponens,[status(thm)],[3399, 3398])).
% 53.49/33.69 tff(3401,plain,
% 53.49/33.69 (v90(constB14, 1) | v100(constB15) | (~v90(constB15, 1))),
% 53.49/33.69 inference(unit_resolution,[status(thm)],[3400, 926, 3348])).
% 53.49/33.69 tff(3402,plain,
% 53.49/33.69 (v90(constB14, 1) | (~v90(constB15, 1))),
% 53.49/33.69 inference(unit_resolution,[status(thm)],[3401, 3360])).
% 53.49/33.69 tff(3403,plain,
% 53.49/33.69 (~v90(constB15, 1)),
% 53.49/33.69 inference(unit_resolution,[status(thm)],[3402, 3394])).
% 53.49/33.69 tff(3404,plain,
% 53.49/33.69 (^[VarCurr: state_type] : refl((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0)))),
% 53.49/33.69 inference(bind,[status(th)],[])).
% 53.49/33.69 tff(3405,plain,
% 53.49/33.69 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0)) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))),
% 53.49/33.69 inference(quant_intro,[status(thm)],[3404])).
% 53.49/33.69 tff(3406,plain,
% 53.49/33.69 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0)) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))),
% 53.49/33.69 inference(rewrite,[status(thm)],[])).
% 53.49/33.69 tff(3407,plain,
% 53.49/33.69 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr))), ((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr)) | v122(VarCurr)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr)) | v122(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr))), ((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr)))), (((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr)) | v123(VarCurr)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr)) | v123(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr))), (((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr)))), ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr)) | v124(VarCurr)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr)) | v124(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr))), ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)))), (((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | v130(VarCurr, 0)) <=> ((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)) | v130(VarCurr, 0)))), rewrite(((v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr)) | v130(VarCurr, 0)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))), (((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | v130(VarCurr, 0)) <=> (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))))),
% 53.49/33.69 inference(bind,[status(th)],[])).
% 53.49/33.69 tff(3408,plain,
% 53.49/33.69 (![VarCurr: state_type] : ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | v130(VarCurr, 0)) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))),
% 53.49/33.69 inference(quant_intro,[status(thm)],[3407])).
% 53.49/33.69 tff(3409,axiom,(![VarCurr: state_type] : ((((((v119(VarCurr) | v120(VarCurr)) | v121(VarCurr)) | v122(VarCurr)) | v123(VarCurr)) | v124(VarCurr)) | v130(VarCurr, 0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6_1_1')).
% 53.49/33.69 tff(3410,plain,
% 53.49/33.69 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))),
% 53.49/33.69 inference(modus_ponens,[status(thm)],[3409, 3408])).
% 53.49/33.69 tff(3411,plain,
% 53.49/33.69 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))),
% 53.49/33.70 inference(modus_ponens,[status(thm)],[3410, 3406])).
% 53.49/33.70 tff(3412,plain,(
% 53.49/33.70 ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))),
% 53.49/33.70 inference(skolemize,[status(sab)],[3411])).
% 53.49/33.70 tff(3413,plain,
% 53.49/33.70 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))),
% 53.49/33.70 inference(modus_ponens,[status(thm)],[3412, 3405])).
% 53.49/33.70 tff(3414,plain,
% 53.49/33.70 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | v130(constB13, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | v130(constB13, 0))),
% 53.49/33.70 inference(rewrite,[status(thm)],[])).
% 53.49/33.70 tff(3415,plain,
% 53.49/33.70 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | v130(constB13, 0))),
% 53.49/33.70 inference(quant_inst,[status(thm)],[])).
% 53.49/33.70 tff(3416,plain,
% 53.49/33.70 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB13) | v120(constB13) | v121(constB13) | v122(constB13) | v123(constB13) | v124(constB13) | v130(constB13, 0)),
% 53.49/33.70 inference(modus_ponens,[status(thm)],[3415, 3414])).
% 53.49/33.70 tff(3417,plain,
% 53.49/33.70 (v130(constB13, 0)),
% 53.49/33.70 inference(unit_resolution,[status(thm)],[3416, 3413, 2894, 2883, 2872, 2861, 2850, 2801])).
% 53.49/33.70 tff(3418,plain,
% 53.49/33.70 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB13) | (~v130(constB13, 0)) | v127(constB13, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB13) | (~v130(constB13, 0)) | v127(constB13, 0))),
% 53.49/33.70 inference(rewrite,[status(thm)],[])).
% 53.49/33.70 tff(3419,plain,
% 53.49/33.70 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB13) | (~v130(constB13, 0)) | v127(constB13, 0))),
% 53.49/33.70 inference(quant_inst,[status(thm)],[])).
% 53.49/33.70 tff(3420,plain,
% 53.49/33.70 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB13) | (~v130(constB13, 0)) | v127(constB13, 0)),
% 53.49/33.70 inference(modus_ponens,[status(thm)],[3419, 3418])).
% 53.49/33.70 tff(3421,plain,
% 53.49/33.70 ((~v130(constB13, 0)) | v127(constB13, 0)),
% 53.49/33.70 inference(unit_resolution,[status(thm)],[3420, 1347, 2912])).
% 53.49/33.70 tff(3422,plain,
% 53.49/33.70 (v127(constB13, 0)),
% 53.49/33.70 inference(unit_resolution,[status(thm)],[3421, 3417])).
% 53.49/33.70 tff(3423,plain,
% 53.49/33.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB13, constB14)) | (~v127(constB13, 0)) | v129(constB14, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB13, constB14)) | (~v127(constB13, 0)) | v129(constB14, 0))),
% 53.49/33.70 inference(rewrite,[status(thm)],[])).
% 53.49/33.70 tff(3424,plain,
% 53.49/33.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB13, constB14)) | (~v127(constB13, 0)) | v129(constB14, 0))),
% 53.49/33.70 inference(quant_inst,[status(thm)],[])).
% 53.49/33.70 tff(3425,plain,
% 53.49/33.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB13, constB14)) | (~v127(constB13, 0)) | v129(constB14, 0)),
% 53.49/33.70 inference(modus_ponens,[status(thm)],[3424, 3423])).
% 53.49/33.70 tff(3426,plain,
% 53.49/33.70 ((~v127(constB13, 0)) | v129(constB14, 0)),
% 53.49/33.70 inference(unit_resolution,[status(thm)],[3425, 1362, 2923])).
% 53.49/33.70 tff(3427,plain,
% 53.49/33.70 (v129(constB14, 0)),
% 53.49/33.70 inference(unit_resolution,[status(thm)],[3426, 3422])).
% 53.49/33.70 tff(3428,plain,
% 53.49/33.70 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB14, 0) | (~v129(constB14, 0)) | (~v100(constB14)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB14, 0) | (~v129(constB14, 0)) | (~v100(constB14)))),
% 53.49/33.70 inference(rewrite,[status(thm)],[])).
% 53.49/33.70 tff(3429,plain,
% 53.49/33.70 ((v90(constB14, 0) | (~v100(constB14)) | (~v129(constB14, 0))) <=> (v90(constB14, 0) | (~v129(constB14, 0)) | (~v100(constB14)))),
% 53.49/33.70 inference(rewrite,[status(thm)],[])).
% 53.49/33.70 tff(3430,plain,
% 53.49/33.70 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB14, 0) | (~v100(constB14)) | (~v129(constB14, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB14, 0) | (~v129(constB14, 0)) | (~v100(constB14))))),
% 53.49/33.70 inference(monotonicity,[status(thm)],[3429])).
% 53.49/33.70 tff(3431,plain,
% 53.49/33.70 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB14, 0) | (~v100(constB14)) | (~v129(constB14, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB14, 0) | (~v129(constB14, 0)) | (~v100(constB14)))),
% 53.49/33.70 inference(transitivity,[status(thm)],[3430, 3428])).
% 53.49/33.70 tff(3432,plain,
% 53.49/33.70 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB14, 0) | (~v100(constB14)) | (~v129(constB14, 0)))),
% 53.49/33.70 inference(quant_inst,[status(thm)],[])).
% 53.49/33.70 tff(3433,plain,
% 53.49/33.70 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB14, 0) | (~v129(constB14, 0)) | (~v100(constB14))),
% 53.49/33.70 inference(modus_ponens,[status(thm)],[3432, 3431])).
% 53.49/33.70 tff(3434,plain,
% 53.49/33.70 (v90(constB14, 0) | (~v129(constB14, 0))),
% 53.49/33.70 inference(unit_resolution,[status(thm)],[3433, 1377, 3337])).
% 53.49/33.70 tff(3435,plain,
% 53.49/33.70 (v90(constB14, 0)),
% 53.49/33.70 inference(unit_resolution,[status(thm)],[3434, 3427])).
% 53.49/33.70 tff(3436,plain,
% 53.49/33.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB14, 0)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB14, 0)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, 0))),
% 53.49/33.70 inference(rewrite,[status(thm)],[])).
% 53.49/33.70 tff(3437,plain,
% 53.49/33.70 (((~nextState(constB14, constB15)) | (~v90(constB14, 0)) | v100(constB15) | v90(constB15, 0)) <=> ((~v90(constB14, 0)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, 0))),
% 53.49/33.70 inference(rewrite,[status(thm)],[])).
% 53.49/33.70 tff(3438,plain,
% 53.49/33.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB14, constB15)) | (~v90(constB14, 0)) | v100(constB15) | v90(constB15, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB14, 0)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, 0)))),
% 53.49/33.70 inference(monotonicity,[status(thm)],[3437])).
% 53.49/33.70 tff(3439,plain,
% 53.49/33.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB14, constB15)) | (~v90(constB14, 0)) | v100(constB15) | v90(constB15, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB14, 0)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, 0))),
% 53.49/33.70 inference(transitivity,[status(thm)],[3438, 3436])).
% 53.49/33.70 tff(3440,plain,
% 53.49/33.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB14, constB15)) | (~v90(constB14, 0)) | v100(constB15) | v90(constB15, 0))),
% 53.49/33.70 inference(quant_inst,[status(thm)],[])).
% 53.49/33.70 tff(3441,plain,
% 53.49/33.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB14, 0)) | (~nextState(constB14, constB15)) | v100(constB15) | v90(constB15, 0)),
% 53.49/33.70 inference(modus_ponens,[status(thm)],[3440, 3439])).
% 53.49/33.70 tff(3442,plain,
% 53.49/33.70 ((~v90(constB14, 0)) | v100(constB15) | v90(constB15, 0)),
% 53.49/33.70 inference(unit_resolution,[status(thm)],[3441, 1395, 3348])).
% 53.49/33.70 tff(3443,plain,
% 53.49/33.70 ((~v90(constB14, 0)) | v90(constB15, 0)),
% 53.49/33.70 inference(unit_resolution,[status(thm)],[3442, 3360])).
% 53.49/33.70 tff(3444,plain,
% 53.49/33.70 (v90(constB15, 0)),
% 53.49/33.70 inference(unit_resolution,[status(thm)],[3443, 3435])).
% 53.49/33.70 tff(3445,plain,
% 53.49/33.70 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB15, 0)) | v90(constB15, 1) | v90(constB15, 2) | v120(constB15))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB15, 0)) | v90(constB15, 1) | v90(constB15, 2) | v120(constB15))),
% 53.49/33.70 inference(rewrite,[status(thm)],[])).
% 53.49/33.70 tff(3446,plain,
% 53.49/33.70 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB15, 0)) | v90(constB15, 1) | v90(constB15, 2) | v120(constB15))),
% 53.49/33.70 inference(quant_inst,[status(thm)],[])).
% 53.49/33.70 tff(3447,plain,
% 53.49/33.70 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB15, 0)) | v90(constB15, 1) | v90(constB15, 2) | v120(constB15)),
% 53.49/33.70 inference(modus_ponens,[status(thm)],[3446, 3445])).
% 53.49/33.70 tff(3448,plain,
% 53.49/33.70 (v120(constB15)),
% 53.49/33.70 inference(unit_resolution,[status(thm)],[3447, 1414, 3444, 3403, 3369])).
% 53.49/33.70 tff(3449,plain,
% 53.49/33.70 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB15)) | v130(constB15, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB15)) | v130(constB15, 1))),
% 53.49/33.70 inference(rewrite,[status(thm)],[])).
% 53.49/33.70 tff(3450,plain,
% 53.49/33.70 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB15)) | v130(constB15, 1))),
% 53.49/33.70 inference(quant_inst,[status(thm)],[])).
% 53.49/33.70 tff(3451,plain,
% 53.49/33.70 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB15)) | v130(constB15, 1)),
% 53.49/33.70 inference(modus_ponens,[status(thm)],[3450, 3449])).
% 53.49/33.70 tff(3452,plain,
% 53.49/33.70 (v130(constB15, 1)),
% 53.49/33.70 inference(unit_resolution,[status(thm)],[3451, 1579, 3448])).
% 53.49/33.70 tff(3453,plain,
% 53.49/33.70 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB15) | (~v130(constB15, 1)) | v127(constB15, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB15) | (~v130(constB15, 1)) | v127(constB15, 1))),
% 53.49/33.70 inference(rewrite,[status(thm)],[])).
% 53.49/33.70 tff(3454,plain,
% 53.49/33.70 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB15) | (~v130(constB15, 1)) | v127(constB15, 1))),
% 53.49/33.70 inference(quant_inst,[status(thm)],[])).
% 53.49/33.70 tff(3455,plain,
% 53.49/33.70 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB15) | (~v130(constB15, 1)) | v127(constB15, 1)),
% 53.49/33.70 inference(modus_ponens,[status(thm)],[3454, 3453])).
% 53.49/33.70 tff(3456,plain,
% 53.49/33.70 (v26(constB15) | v127(constB15, 1)),
% 53.49/33.70 inference(unit_resolution,[status(thm)],[3455, 1593, 3452])).
% 53.49/33.70 tff(3457,plain,
% 53.49/33.70 (v127(constB15, 1)),
% 53.49/33.70 inference(unit_resolution,[status(thm)],[3456, 833])).
% 53.49/33.70 tff(3458,plain,
% 53.49/33.70 (nextState(constB15, constB16) <=> nextState(constB15, constB16)),
% 53.49/33.70 inference(rewrite,[status(thm)],[])).
% 53.49/33.70 tff(3459,axiom,(nextState(constB15, constB16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_15_1')).
% 53.49/33.70 tff(3460,plain,
% 53.49/33.70 (nextState(constB15, constB16)),
% 53.49/33.70 inference(modus_ponens,[status(thm)],[3459, 3458])).
% 53.49/33.70 tff(3461,plain,
% 53.49/33.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB15, constB16)) | (~v127(constB15, 1)) | v129(constB16, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB15, constB16)) | (~v127(constB15, 1)) | v129(constB16, 1))),
% 53.49/33.70 inference(rewrite,[status(thm)],[])).
% 53.49/33.70 tff(3462,plain,
% 53.49/33.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB15, constB16)) | (~v127(constB15, 1)) | v129(constB16, 1))),
% 53.49/33.70 inference(quant_inst,[status(thm)],[])).
% 53.49/33.70 tff(3463,plain,
% 53.49/33.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB15, constB16)) | (~v127(constB15, 1)) | v129(constB16, 1)),
% 53.49/33.70 inference(modus_ponens,[status(thm)],[3462, 3461])).
% 53.49/33.70 tff(3464,plain,
% 53.49/33.70 ((~v127(constB15, 1)) | v129(constB16, 1)),
% 53.49/33.70 inference(unit_resolution,[status(thm)],[3463, 1608, 3460])).
% 53.49/33.70 tff(3465,plain,
% 53.49/33.70 (v129(constB16, 1)),
% 53.49/33.70 inference(unit_resolution,[status(thm)],[3464, 3457])).
% 53.49/33.70 tff(3466,assumption,(~v100(constB16)), introduced(assumption)).
% 53.49/33.70 tff(3467,assumption,(~v90(constB16, 2)), introduced(assumption)).
% 53.49/33.70 tff(3468,plain,
% 53.49/33.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB15, 2)) | (~nextState(constB15, constB16)) | v100(constB16) | v90(constB16, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB15, 2)) | (~nextState(constB15, constB16)) | v100(constB16) | v90(constB16, 2))),
% 53.49/33.70 inference(rewrite,[status(thm)],[])).
% 53.49/33.70 tff(3469,plain,
% 53.49/33.70 (((~nextState(constB15, constB16)) | (~v90(constB15, 2)) | v100(constB16) | v90(constB16, 2)) <=> ((~v90(constB15, 2)) | (~nextState(constB15, constB16)) | v100(constB16) | v90(constB16, 2))),
% 53.49/33.70 inference(rewrite,[status(thm)],[])).
% 53.49/33.70 tff(3470,plain,
% 53.49/33.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB15, constB16)) | (~v90(constB15, 2)) | v100(constB16) | v90(constB16, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB15, 2)) | (~nextState(constB15, constB16)) | v100(constB16) | v90(constB16, 2)))),
% 53.49/33.70 inference(monotonicity,[status(thm)],[3469])).
% 53.49/33.70 tff(3471,plain,
% 53.49/33.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB15, constB16)) | (~v90(constB15, 2)) | v100(constB16) | v90(constB16, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB15, 2)) | (~nextState(constB15, constB16)) | v100(constB16) | v90(constB16, 2))),
% 53.49/33.70 inference(transitivity,[status(thm)],[3470, 3468])).
% 53.49/33.70 tff(3472,plain,
% 53.49/33.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB15, constB16)) | (~v90(constB15, 2)) | v100(constB16) | v90(constB16, 2))),
% 53.49/33.70 inference(quant_inst,[status(thm)],[])).
% 53.49/33.70 tff(3473,plain,
% 53.49/33.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB15, 2)) | (~nextState(constB15, constB16)) | v100(constB16) | v90(constB16, 2)),
% 53.49/33.70 inference(modus_ponens,[status(thm)],[3472, 3471])).
% 53.49/33.70 tff(3474,plain,
% 53.49/33.70 ((~v90(constB15, 2)) | v100(constB16) | v90(constB16, 2)),
% 53.49/33.70 inference(unit_resolution,[status(thm)],[3473, 2174, 3460])).
% 53.49/33.70 tff(3475,plain,
% 53.49/33.70 (~v90(constB15, 2)),
% 53.49/33.70 inference(unit_resolution,[status(thm)],[3474, 3467, 3466])).
% 53.49/33.70 tff(3476,plain,
% 53.49/33.70 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB15) | (~nextState(constB15, constB16)) | (~v104(constB16)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB15) | (~nextState(constB15, constB16)) | (~v104(constB16)))),
% 53.49/33.70 inference(rewrite,[status(thm)],[])).
% 53.49/33.70 tff(3477,plain,
% 53.49/33.70 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB15) | (~nextState(constB15, constB16)) | (~v104(constB16)))),
% 53.49/33.70 inference(quant_inst,[status(thm)],[])).
% 53.49/33.70 tff(3478,plain,
% 53.49/33.70 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB15) | (~nextState(constB15, constB16)) | (~v104(constB16))),
% 53.49/33.70 inference(modus_ponens,[status(thm)],[3477, 3476])).
% 53.49/33.70 tff(3479,plain,
% 53.49/33.70 (~v104(constB16)),
% 53.49/33.70 inference(unit_resolution,[status(thm)],[3478, 1113, 3460, 3345])).
% 53.49/33.70 tff(3480,plain,
% 53.49/33.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB15, constB16)) | v102(constB16) | v104(constB16))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB15, constB16)) | v102(constB16) | v104(constB16))),
% 53.49/33.70 inference(rewrite,[status(thm)],[])).
% 53.49/33.70 tff(3481,plain,
% 53.49/33.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB15, constB16)) | v102(constB16) | v104(constB16))),
% 53.49/33.70 inference(quant_inst,[status(thm)],[])).
% 53.49/33.70 tff(3482,plain,
% 53.49/33.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB15, constB16)) | v102(constB16) | v104(constB16)),
% 53.49/33.70 inference(modus_ponens,[status(thm)],[3481, 3480])).
% 53.49/33.70 tff(3483,plain,
% 53.49/33.70 (v102(constB16) | v104(constB16)),
% 53.49/33.70 inference(unit_resolution,[status(thm)],[3482, 1127, 3460])).
% 53.49/33.70 tff(3484,plain,
% 53.49/33.70 (v102(constB16)),
% 53.49/33.70 inference(unit_resolution,[status(thm)],[3483, 3479])).
% 53.49/33.70 tff(3485,plain,
% 53.49/33.70 (v1(constB16) <=> v1(constB16)),
% 53.49/33.70 inference(rewrite,[status(thm)],[])).
% 53.49/33.70 tff(3486,axiom,(v1(constB16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_16_1')).
% 53.49/33.70 tff(3487,plain,
% 53.49/33.70 (v1(constB16)),
% 53.49/33.70 inference(modus_ponens,[status(thm)],[3486, 3485])).
% 53.49/33.70 tff(3488,plain,
% 53.49/33.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB15, constB16)) | v101(constB16) | (~v102(constB16)) | (~v1(constB16)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB15, constB16)) | v101(constB16) | (~v102(constB16)) | (~v1(constB16)))),
% 53.49/33.70 inference(rewrite,[status(thm)],[])).
% 53.49/33.70 tff(3489,plain,
% 53.49/33.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB15, constB16)) | v101(constB16) | (~v102(constB16)) | (~v1(constB16)))),
% 53.49/33.70 inference(quant_inst,[status(thm)],[])).
% 53.49/33.70 tff(3490,plain,
% 53.49/33.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB15, constB16)) | v101(constB16) | (~v102(constB16)) | (~v1(constB16))),
% 53.49/33.70 inference(modus_ponens,[status(thm)],[3489, 3488])).
% 53.49/33.70 tff(3491,plain,
% 53.49/33.70 (v101(constB16) | (~v102(constB16))),
% 53.49/33.70 inference(unit_resolution,[status(thm)],[3490, 1145, 3460, 3487])).
% 53.49/33.70 tff(3492,plain,
% 53.49/33.70 (v101(constB16)),
% 53.49/33.70 inference(unit_resolution,[status(thm)],[3491, 3484])).
% 53.49/33.70 tff(3493,plain,
% 53.49/33.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16)))),
% 53.49/33.70 inference(rewrite,[status(thm)],[])).
% 53.49/33.70 tff(3494,plain,
% 53.49/33.70 (((~nextState(constB15, constB16)) | (~v101(constB16)) | (~v110(constB16)) | v100(constB16)) <=> ((~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16)))),
% 53.49/33.70 inference(rewrite,[status(thm)],[])).
% 53.49/33.70 tff(3495,plain,
% 53.49/33.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB15, constB16)) | (~v101(constB16)) | (~v110(constB16)) | v100(constB16))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16))))),
% 53.49/33.70 inference(monotonicity,[status(thm)],[3494])).
% 53.49/33.70 tff(3496,plain,
% 53.49/33.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB15, constB16)) | (~v101(constB16)) | (~v110(constB16)) | v100(constB16))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16)))),
% 53.49/33.70 inference(transitivity,[status(thm)],[3495, 3493])).
% 53.49/33.70 tff(3497,plain,
% 53.49/33.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB15, constB16)) | (~v101(constB16)) | (~v110(constB16)) | v100(constB16))),
% 53.49/33.70 inference(quant_inst,[status(thm)],[])).
% 53.49/33.70 tff(3498,plain,
% 53.49/33.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB15, constB16)) | v100(constB16) | (~v101(constB16)) | (~v110(constB16))),
% 53.49/33.70 inference(modus_ponens,[status(thm)],[3497, 3496])).
% 53.49/33.70 tff(3499,plain,
% 53.49/33.70 (v100(constB16) | (~v101(constB16)) | (~v110(constB16))),
% 53.49/33.70 inference(unit_resolution,[status(thm)],[3498, 1160, 3460])).
% 53.49/33.70 tff(3500,plain,
% 53.49/33.70 (v100(constB16) | (~v110(constB16))),
% 53.49/33.70 inference(unit_resolution,[status(thm)],[3499, 3492])).
% 53.49/33.70 tff(3501,plain,
% 53.49/33.70 (~v110(constB16)),
% 53.49/33.70 inference(unit_resolution,[status(thm)],[3500, 3466])).
% 53.49/33.70 tff(3502,plain,
% 53.49/33.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15)))),
% 53.49/33.70 inference(rewrite,[status(thm)],[])).
% 53.49/33.70 tff(3503,plain,
% 53.49/33.70 (((~nextState(constB15, constB16)) | (~v108(constB15)) | v110(constB16)) <=> ((~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15)))),
% 53.49/33.70 inference(rewrite,[status(thm)],[])).
% 53.49/33.70 tff(3504,plain,
% 53.49/33.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB15, constB16)) | (~v108(constB15)) | v110(constB16))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15))))),
% 53.49/33.70 inference(monotonicity,[status(thm)],[3503])).
% 53.49/33.70 tff(3505,plain,
% 53.49/33.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB15, constB16)) | (~v108(constB15)) | v110(constB16))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15)))),
% 53.49/33.70 inference(transitivity,[status(thm)],[3504, 3502])).
% 53.49/33.70 tff(3506,plain,
% 53.49/33.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB15, constB16)) | (~v108(constB15)) | v110(constB16))),
% 53.49/33.70 inference(quant_inst,[status(thm)],[])).
% 53.49/33.70 tff(3507,plain,
% 53.49/33.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB15, constB16)) | v110(constB16) | (~v108(constB15))),
% 53.49/33.70 inference(modus_ponens,[status(thm)],[3506, 3505])).
% 53.49/33.70 tff(3508,plain,
% 53.49/33.70 (v110(constB16) | (~v108(constB15))),
% 53.49/33.70 inference(unit_resolution,[status(thm)],[3507, 1095, 3460])).
% 53.49/33.70 tff(3509,plain,
% 53.49/33.70 (~v108(constB15)),
% 53.49/33.70 inference(unit_resolution,[status(thm)],[3508, 3501])).
% 53.49/33.70 tff(3510,plain,
% 53.49/33.70 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB15) | (~v112(constB15)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB15) | (~v112(constB15)))),
% 53.49/33.70 inference(rewrite,[status(thm)],[])).
% 53.49/33.70 tff(3511,plain,
% 53.49/33.70 (((~v112(constB15)) | v108(constB15)) <=> (v108(constB15) | (~v112(constB15)))),
% 53.49/33.70 inference(rewrite,[status(thm)],[])).
% 53.49/33.70 tff(3512,plain,
% 53.49/33.70 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB15)) | v108(constB15))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB15) | (~v112(constB15))))),
% 53.49/33.70 inference(monotonicity,[status(thm)],[3511])).
% 53.49/33.70 tff(3513,plain,
% 53.49/33.70 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB15)) | v108(constB15))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB15) | (~v112(constB15)))),
% 53.49/33.70 inference(transitivity,[status(thm)],[3512, 3510])).
% 53.49/33.70 tff(3514,plain,
% 53.49/33.70 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB15)) | v108(constB15))),
% 53.49/33.70 inference(quant_inst,[status(thm)],[])).
% 53.49/33.70 tff(3515,plain,
% 53.49/33.70 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB15) | (~v112(constB15))),
% 53.49/33.70 inference(modus_ponens,[status(thm)],[3514, 3513])).
% 53.49/33.70 tff(3516,plain,
% 53.49/33.70 (~v112(constB15)),
% 53.49/33.70 inference(unit_resolution,[status(thm)],[3515, 1075, 3509])).
% 53.49/33.70 tff(3517,plain,
% 53.49/33.70 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB15) | (~v26(constB15)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB15) | (~v26(constB15)))),
% 53.49/33.70 inference(rewrite,[status(thm)],[])).
% 53.49/33.70 tff(3518,plain,
% 53.49/33.70 (((~v26(constB15)) | v108(constB15)) <=> (v108(constB15) | (~v26(constB15)))),
% 53.49/33.70 inference(rewrite,[status(thm)],[])).
% 53.49/33.70 tff(3519,plain,
% 53.49/33.70 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB15)) | v108(constB15))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB15) | (~v26(constB15))))),
% 53.49/33.70 inference(monotonicity,[status(thm)],[3518])).
% 53.49/33.70 tff(3520,plain,
% 53.49/33.70 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB15)) | v108(constB15))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB15) | (~v26(constB15)))),
% 53.49/33.70 inference(transitivity,[status(thm)],[3519, 3517])).
% 53.49/33.70 tff(3521,plain,
% 53.49/33.70 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB15)) | v108(constB15))),
% 53.49/33.70 inference(quant_inst,[status(thm)],[])).
% 53.49/33.70 tff(3522,plain,
% 53.49/33.70 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB15) | (~v26(constB15))),
% 53.49/33.70 inference(modus_ponens,[status(thm)],[3521, 3520])).
% 53.49/33.70 tff(3523,plain,
% 53.49/33.70 (~v26(constB15)),
% 53.49/33.70 inference(unit_resolution,[status(thm)],[3522, 2050, 3509])).
% 53.49/33.70 tff(3524,plain,
% 53.49/33.70 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB15) | v112(constB15) | (~v113(constB15)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB15) | v112(constB15) | (~v113(constB15)))),
% 53.49/33.70 inference(rewrite,[status(thm)],[])).
% 53.49/33.70 tff(3525,plain,
% 53.49/33.70 ((v26(constB15) | (~v113(constB15)) | v112(constB15)) <=> (v26(constB15) | v112(constB15) | (~v113(constB15)))),
% 53.49/33.70 inference(rewrite,[status(thm)],[])).
% 53.49/33.70 tff(3526,plain,
% 53.49/33.70 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB15) | (~v113(constB15)) | v112(constB15))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB15) | v112(constB15) | (~v113(constB15))))),
% 53.49/33.70 inference(monotonicity,[status(thm)],[3525])).
% 53.49/33.70 tff(3527,plain,
% 53.49/33.70 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB15) | (~v113(constB15)) | v112(constB15))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB15) | v112(constB15) | (~v113(constB15)))),
% 53.49/33.70 inference(transitivity,[status(thm)],[3526, 3524])).
% 53.49/33.70 tff(3528,plain,
% 53.49/33.70 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB15) | (~v113(constB15)) | v112(constB15))),
% 53.49/33.70 inference(quant_inst,[status(thm)],[])).
% 53.49/33.70 tff(3529,plain,
% 53.49/33.70 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB15) | v112(constB15) | (~v113(constB15))),
% 53.49/33.70 inference(modus_ponens,[status(thm)],[3528, 3527])).
% 53.49/33.70 tff(3530,plain,
% 53.49/33.70 (~v113(constB15)),
% 53.49/33.70 inference(unit_resolution,[status(thm)],[3529, 1063, 3523, 3516])).
% 53.49/33.70 tff(3531,plain,
% 53.49/33.70 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB15) | (~v114(constB15)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB15) | (~v114(constB15)))),
% 53.49/33.70 inference(rewrite,[status(thm)],[])).
% 53.49/33.70 tff(3532,plain,
% 53.49/33.70 (((~v114(constB15)) | v113(constB15)) <=> (v113(constB15) | (~v114(constB15)))),
% 53.49/33.70 inference(rewrite,[status(thm)],[])).
% 53.49/33.70 tff(3533,plain,
% 53.49/33.70 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB15)) | v113(constB15))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB15) | (~v114(constB15))))),
% 53.49/33.70 inference(monotonicity,[status(thm)],[3532])).
% 53.49/33.70 tff(3534,plain,
% 53.49/33.70 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB15)) | v113(constB15))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB15) | (~v114(constB15)))),
% 53.49/33.70 inference(transitivity,[status(thm)],[3533, 3531])).
% 53.49/33.70 tff(3535,plain,
% 53.49/33.70 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB15)) | v113(constB15))),
% 53.49/33.70 inference(quant_inst,[status(thm)],[])).
% 53.49/33.70 tff(3536,plain,
% 53.49/33.70 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB15) | (~v114(constB15))),
% 53.49/33.70 inference(modus_ponens,[status(thm)],[3535, 3534])).
% 53.49/33.70 tff(3537,plain,
% 53.49/33.70 (~v114(constB15)),
% 53.49/33.70 inference(unit_resolution,[status(thm)],[3536, 1049, 3530])).
% 53.49/33.70 tff(3538,plain,
% 53.49/33.70 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB15) | (~v115(constB15)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB15) | (~v115(constB15)))),
% 53.49/33.70 inference(rewrite,[status(thm)],[])).
% 53.49/33.70 tff(3539,plain,
% 53.49/33.70 (((~v115(constB15)) | v114(constB15)) <=> (v114(constB15) | (~v115(constB15)))),
% 53.49/33.70 inference(rewrite,[status(thm)],[])).
% 53.49/33.70 tff(3540,plain,
% 53.49/33.70 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB15)) | v114(constB15))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB15) | (~v115(constB15))))),
% 53.49/33.70 inference(monotonicity,[status(thm)],[3539])).
% 53.49/33.70 tff(3541,plain,
% 53.49/33.70 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB15)) | v114(constB15))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB15) | (~v115(constB15)))),
% 53.49/33.70 inference(transitivity,[status(thm)],[3540, 3538])).
% 53.49/33.70 tff(3542,plain,
% 53.49/33.70 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB15)) | v114(constB15))),
% 53.49/33.70 inference(quant_inst,[status(thm)],[])).
% 53.49/33.70 tff(3543,plain,
% 53.49/33.70 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB15) | (~v115(constB15))),
% 53.49/33.70 inference(modus_ponens,[status(thm)],[3542, 3541])).
% 53.49/33.70 tff(3544,plain,
% 53.49/33.70 (~v115(constB15)),
% 53.49/33.70 inference(unit_resolution,[status(thm)],[3543, 1035, 3537])).
% 53.49/33.70 tff(3545,plain,
% 53.49/33.70 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB15) | (~v116(constB15)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB15) | (~v116(constB15)))),
% 53.49/33.70 inference(rewrite,[status(thm)],[])).
% 53.49/33.70 tff(3546,plain,
% 53.49/33.70 (((~v116(constB15)) | v115(constB15)) <=> (v115(constB15) | (~v116(constB15)))),
% 53.49/33.70 inference(rewrite,[status(thm)],[])).
% 53.49/33.70 tff(3547,plain,
% 53.49/33.70 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB15)) | v115(constB15))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB15) | (~v116(constB15))))),
% 53.49/33.70 inference(monotonicity,[status(thm)],[3546])).
% 53.49/33.70 tff(3548,plain,
% 53.49/33.70 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB15)) | v115(constB15))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB15) | (~v116(constB15)))),
% 53.49/33.70 inference(transitivity,[status(thm)],[3547, 3545])).
% 53.49/33.70 tff(3549,plain,
% 53.49/33.70 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB15)) | v115(constB15))),
% 53.49/33.70 inference(quant_inst,[status(thm)],[])).
% 53.49/33.70 tff(3550,plain,
% 53.49/33.70 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB15) | (~v116(constB15))),
% 53.49/33.70 inference(modus_ponens,[status(thm)],[3549, 3548])).
% 53.49/33.70 tff(3551,plain,
% 53.49/33.70 (~v116(constB15)),
% 53.49/33.70 inference(unit_resolution,[status(thm)],[3550, 1021, 3544])).
% 53.49/33.70 tff(3552,plain,
% 53.49/33.70 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB15) | (~v117(constB15)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB15) | (~v117(constB15)))),
% 53.49/33.70 inference(rewrite,[status(thm)],[])).
% 53.49/33.70 tff(3553,plain,
% 53.49/33.70 (((~v117(constB15)) | v116(constB15)) <=> (v116(constB15) | (~v117(constB15)))),
% 53.49/33.70 inference(rewrite,[status(thm)],[])).
% 53.49/33.70 tff(3554,plain,
% 53.49/33.70 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB15)) | v116(constB15))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB15) | (~v117(constB15))))),
% 53.49/33.70 inference(monotonicity,[status(thm)],[3553])).
% 53.49/33.70 tff(3555,plain,
% 53.49/33.70 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB15)) | v116(constB15))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB15) | (~v117(constB15)))),
% 53.49/33.70 inference(transitivity,[status(thm)],[3554, 3552])).
% 53.49/33.70 tff(3556,plain,
% 53.49/33.70 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB15)) | v116(constB15))),
% 53.49/33.70 inference(quant_inst,[status(thm)],[])).
% 53.49/33.70 tff(3557,plain,
% 53.49/33.70 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB15) | (~v117(constB15))),
% 53.49/33.70 inference(modus_ponens,[status(thm)],[3556, 3555])).
% 53.49/33.70 tff(3558,plain,
% 53.49/33.70 (~v117(constB15)),
% 53.49/33.70 inference(unit_resolution,[status(thm)],[3557, 1007, 3551])).
% 53.49/33.70 tff(3559,plain,
% 53.49/33.70 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB15) | (~v118(constB15)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB15) | (~v118(constB15)))),
% 53.49/33.70 inference(rewrite,[status(thm)],[])).
% 53.49/33.70 tff(3560,plain,
% 53.49/33.70 (((~v118(constB15)) | v117(constB15)) <=> (v117(constB15) | (~v118(constB15)))),
% 53.49/33.70 inference(rewrite,[status(thm)],[])).
% 53.49/33.70 tff(3561,plain,
% 53.49/33.70 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB15)) | v117(constB15))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB15) | (~v118(constB15))))),
% 53.49/33.70 inference(monotonicity,[status(thm)],[3560])).
% 53.49/33.70 tff(3562,plain,
% 53.49/33.70 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB15)) | v117(constB15))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB15) | (~v118(constB15)))),
% 53.49/33.70 inference(transitivity,[status(thm)],[3561, 3559])).
% 53.49/33.70 tff(3563,plain,
% 53.49/33.70 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB15)) | v117(constB15))),
% 53.49/33.70 inference(quant_inst,[status(thm)],[])).
% 53.49/33.70 tff(3564,plain,
% 53.49/33.70 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB15) | (~v118(constB15))),
% 53.49/33.70 inference(modus_ponens,[status(thm)],[3563, 3562])).
% 53.49/33.70 tff(3565,plain,
% 53.49/33.70 (~v118(constB15)),
% 53.49/33.70 inference(unit_resolution,[status(thm)],[3564, 993, 3558])).
% 53.49/33.70 tff(3566,plain,
% 53.49/33.70 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB15) | (~v121(constB15)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB15) | (~v121(constB15)))),
% 53.49/33.70 inference(rewrite,[status(thm)],[])).
% 53.49/33.70 tff(3567,plain,
% 53.49/33.70 (((~v121(constB15)) | v117(constB15)) <=> (v117(constB15) | (~v121(constB15)))),
% 53.49/33.70 inference(rewrite,[status(thm)],[])).
% 53.49/33.70 tff(3568,plain,
% 53.49/33.70 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB15)) | v117(constB15))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB15) | (~v121(constB15))))),
% 53.49/33.70 inference(monotonicity,[status(thm)],[3567])).
% 53.49/33.70 tff(3569,plain,
% 53.49/33.70 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB15)) | v117(constB15))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB15) | (~v121(constB15)))),
% 53.49/33.70 inference(transitivity,[status(thm)],[3568, 3566])).
% 53.49/33.70 tff(3570,plain,
% 53.49/33.70 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB15)) | v117(constB15))),
% 53.49/33.70 inference(quant_inst,[status(thm)],[])).
% 53.49/33.70 tff(3571,plain,
% 53.49/33.70 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB15) | (~v121(constB15))),
% 53.49/33.70 inference(modus_ponens,[status(thm)],[3570, 3569])).
% 53.49/33.70 tff(3572,plain,
% 53.49/33.70 (~v121(constB15)),
% 53.49/33.70 inference(unit_resolution,[status(thm)],[3571, 1742, 3558])).
% 53.49/33.70 tff(3573,plain,
% 53.49/33.70 (~v90(constB15, 2)),
% 53.49/33.70 inference(unit_resolution,[status(thm)],[3474, 3466, 3467])).
% 53.49/33.70 tff(3574,assumption,(~v90(constB16, 0)), introduced(assumption)).
% 53.49/33.70 tff(3575,plain,
% 53.49/33.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB15, 0)) | (~nextState(constB15, constB16)) | v100(constB16) | v90(constB16, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB15, 0)) | (~nextState(constB15, constB16)) | v100(constB16) | v90(constB16, 0))),
% 53.49/33.70 inference(rewrite,[status(thm)],[])).
% 53.49/33.70 tff(3576,plain,
% 53.49/33.70 (((~nextState(constB15, constB16)) | (~v90(constB15, 0)) | v100(constB16) | v90(constB16, 0)) <=> ((~v90(constB15, 0)) | (~nextState(constB15, constB16)) | v100(constB16) | v90(constB16, 0))),
% 53.49/33.70 inference(rewrite,[status(thm)],[])).
% 53.49/33.70 tff(3577,plain,
% 53.49/33.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB15, constB16)) | (~v90(constB15, 0)) | v100(constB16) | v90(constB16, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB15, 0)) | (~nextState(constB15, constB16)) | v100(constB16) | v90(constB16, 0)))),
% 53.49/33.70 inference(monotonicity,[status(thm)],[3576])).
% 53.49/33.70 tff(3578,plain,
% 53.49/33.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB15, constB16)) | (~v90(constB15, 0)) | v100(constB16) | v90(constB16, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB15, 0)) | (~nextState(constB15, constB16)) | v100(constB16) | v90(constB16, 0))),
% 53.49/33.70 inference(transitivity,[status(thm)],[3577, 3575])).
% 53.49/33.70 tff(3579,plain,
% 53.49/33.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB15, constB16)) | (~v90(constB15, 0)) | v100(constB16) | v90(constB16, 0))),
% 53.49/33.70 inference(quant_inst,[status(thm)],[])).
% 53.49/33.70 tff(3580,plain,
% 53.49/33.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB15, 0)) | (~nextState(constB15, constB16)) | v100(constB16) | v90(constB16, 0)),
% 53.49/33.70 inference(modus_ponens,[status(thm)],[3579, 3578])).
% 53.49/33.70 tff(3581,plain,
% 53.49/33.70 ((~v90(constB15, 0)) | v100(constB16) | v90(constB16, 0)),
% 53.49/33.70 inference(unit_resolution,[status(thm)],[3580, 1395, 3460])).
% 53.49/33.70 tff(3582,plain,
% 53.49/33.70 (~v90(constB15, 0)),
% 53.49/33.70 inference(unit_resolution,[status(thm)],[3581, 3466, 3574])).
% 53.49/33.70 tff(3583,plain,
% 53.49/33.70 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB15, 0) | (~v90(constB15, 1)) | v90(constB15, 2) | v121(constB15))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB15, 0) | (~v90(constB15, 1)) | v90(constB15, 2) | v121(constB15))),
% 53.49/33.70 inference(rewrite,[status(thm)],[])).
% 53.49/33.70 tff(3584,plain,
% 53.49/33.70 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB15, 0) | (~v90(constB15, 1)) | v90(constB15, 2) | v121(constB15))),
% 53.49/33.70 inference(quant_inst,[status(thm)],[])).
% 53.49/33.70 tff(3585,plain,
% 53.49/33.70 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB15, 0) | (~v90(constB15, 1)) | v90(constB15, 2) | v121(constB15)),
% 53.49/33.70 inference(modus_ponens,[status(thm)],[3584, 3583])).
% 53.49/33.70 tff(3586,plain,
% 53.49/33.70 ((~v90(constB15, 1)) | v121(constB15)),
% 53.49/33.70 inference(unit_resolution,[status(thm)],[3585, 1731, 3582, 3573])).
% 53.49/33.70 tff(3587,plain,
% 53.49/33.70 (~v90(constB15, 1)),
% 53.49/33.70 inference(unit_resolution,[status(thm)],[3586, 3572])).
% 53.49/33.70 tff(3588,plain,
% 53.49/33.70 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB15, 0) | v90(constB15, 1) | v90(constB15, 2) | v119(constB15))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB15, 0) | v90(constB15, 1) | v90(constB15, 2) | v119(constB15))),
% 53.49/33.70 inference(rewrite,[status(thm)],[])).
% 53.49/33.70 tff(3589,plain,
% 53.49/33.70 ((v90(constB15, 0) | v119(constB15) | v90(constB15, 1) | v90(constB15, 2)) <=> (v90(constB15, 0) | v90(constB15, 1) | v90(constB15, 2) | v119(constB15))),
% 53.49/33.70 inference(rewrite,[status(thm)],[])).
% 53.49/33.70 tff(3590,plain,
% 53.49/33.70 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB15, 0) | v119(constB15) | v90(constB15, 1) | v90(constB15, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB15, 0) | v90(constB15, 1) | v90(constB15, 2) | v119(constB15)))),
% 53.49/33.70 inference(monotonicity,[status(thm)],[3589])).
% 53.49/33.70 tff(3591,plain,
% 53.49/33.70 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB15, 0) | v119(constB15) | v90(constB15, 1) | v90(constB15, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB15, 0) | v90(constB15, 1) | v90(constB15, 2) | v119(constB15))),
% 53.49/33.70 inference(transitivity,[status(thm)],[3590, 3588])).
% 53.49/33.70 tff(3592,plain,
% 53.49/33.70 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB15, 0) | v119(constB15) | v90(constB15, 1) | v90(constB15, 2))),
% 53.49/33.70 inference(quant_inst,[status(thm)],[])).
% 53.49/33.70 tff(3593,plain,
% 53.49/33.70 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB15, 0) | v90(constB15, 1) | v90(constB15, 2) | v119(constB15)),
% 53.49/33.70 inference(modus_ponens,[status(thm)],[3592, 3591])).
% 53.49/33.70 tff(3594,plain,
% 53.49/33.70 (v90(constB15, 1) | v119(constB15)),
% 53.49/33.70 inference(unit_resolution,[status(thm)],[3593, 968, 3582, 3573])).
% 53.49/33.71 tff(3595,plain,
% 53.49/33.71 (v119(constB15)),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3594, 3587])).
% 53.49/33.71 tff(3596,plain,
% 53.49/33.71 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB15) | (~v119(constB15)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB15) | (~v119(constB15)))),
% 53.49/33.71 inference(rewrite,[status(thm)],[])).
% 53.49/33.71 tff(3597,plain,
% 53.49/33.71 (((~v119(constB15)) | v118(constB15)) <=> (v118(constB15) | (~v119(constB15)))),
% 53.49/33.71 inference(rewrite,[status(thm)],[])).
% 53.49/33.71 tff(3598,plain,
% 53.49/33.71 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB15)) | v118(constB15))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB15) | (~v119(constB15))))),
% 53.49/33.71 inference(monotonicity,[status(thm)],[3597])).
% 53.49/33.71 tff(3599,plain,
% 53.49/33.71 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB15)) | v118(constB15))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB15) | (~v119(constB15)))),
% 53.49/33.71 inference(transitivity,[status(thm)],[3598, 3596])).
% 53.49/33.71 tff(3600,plain,
% 53.49/33.71 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB15)) | v118(constB15))),
% 53.49/33.71 inference(quant_inst,[status(thm)],[])).
% 53.49/33.71 tff(3601,plain,
% 53.49/33.71 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB15) | (~v119(constB15))),
% 53.49/33.71 inference(modus_ponens,[status(thm)],[3600, 3599])).
% 53.49/33.71 tff(3602,plain,
% 53.49/33.71 ($false),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3601, 982, 3595, 3565])).
% 53.49/33.71 tff(3603,plain,(v100(constB16) | v90(constB16, 2) | v90(constB16, 0)), inference(lemma,lemma(discharge,[]))).
% 53.49/33.71 tff(3604,plain,
% 53.49/33.71 (v90(constB16, 0)),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3603, 3467, 3466])).
% 53.49/33.71 tff(3605,plain,
% 53.49/33.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB15, 0) | (~nextState(constB15, constB16)) | v100(constB16) | (~v90(constB16, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB15, 0) | (~nextState(constB15, constB16)) | v100(constB16) | (~v90(constB16, 0)))),
% 53.49/33.71 inference(rewrite,[status(thm)],[])).
% 53.49/33.71 tff(3606,plain,
% 53.49/33.71 (((~nextState(constB15, constB16)) | v90(constB15, 0) | v100(constB16) | (~v90(constB16, 0))) <=> (v90(constB15, 0) | (~nextState(constB15, constB16)) | v100(constB16) | (~v90(constB16, 0)))),
% 53.49/33.71 inference(rewrite,[status(thm)],[])).
% 53.49/33.71 tff(3607,plain,
% 53.49/33.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB15, constB16)) | v90(constB15, 0) | v100(constB16) | (~v90(constB16, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB15, 0) | (~nextState(constB15, constB16)) | v100(constB16) | (~v90(constB16, 0))))),
% 53.49/33.71 inference(monotonicity,[status(thm)],[3606])).
% 53.49/33.71 tff(3608,plain,
% 53.49/33.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB15, constB16)) | v90(constB15, 0) | v100(constB16) | (~v90(constB16, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB15, 0) | (~nextState(constB15, constB16)) | v100(constB16) | (~v90(constB16, 0)))),
% 53.49/33.71 inference(transitivity,[status(thm)],[3607, 3605])).
% 53.49/33.71 tff(3609,plain,
% 53.49/33.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB15, constB16)) | v90(constB15, 0) | v100(constB16) | (~v90(constB16, 0)))),
% 53.49/33.71 inference(quant_inst,[status(thm)],[])).
% 53.49/33.71 tff(3610,plain,
% 53.49/33.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB15, 0) | (~nextState(constB15, constB16)) | v100(constB16) | (~v90(constB16, 0))),
% 53.49/33.71 inference(modus_ponens,[status(thm)],[3609, 3608])).
% 53.49/33.71 tff(3611,plain,
% 53.49/33.71 (v90(constB15, 0) | v100(constB16) | (~v90(constB16, 0))),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3610, 947, 3460])).
% 53.49/33.71 tff(3612,plain,
% 53.49/33.71 (v90(constB15, 0)),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3611, 3604, 3466])).
% 53.49/33.71 tff(3613,plain,
% 53.49/33.71 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB15) | (~v122(constB15)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB15) | (~v122(constB15)))),
% 53.49/33.71 inference(rewrite,[status(thm)],[])).
% 53.49/33.71 tff(3614,plain,
% 53.49/33.71 (((~v122(constB15)) | v116(constB15)) <=> (v116(constB15) | (~v122(constB15)))),
% 53.49/33.71 inference(rewrite,[status(thm)],[])).
% 53.49/33.71 tff(3615,plain,
% 53.49/33.71 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB15)) | v116(constB15))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB15) | (~v122(constB15))))),
% 53.49/33.71 inference(monotonicity,[status(thm)],[3614])).
% 53.49/33.71 tff(3616,plain,
% 53.49/33.71 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB15)) | v116(constB15))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB15) | (~v122(constB15)))),
% 53.49/33.71 inference(transitivity,[status(thm)],[3615, 3613])).
% 53.49/33.71 tff(3617,plain,
% 53.49/33.71 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB15)) | v116(constB15))),
% 53.49/33.71 inference(quant_inst,[status(thm)],[])).
% 53.49/33.71 tff(3618,plain,
% 53.49/33.71 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB15) | (~v122(constB15))),
% 53.49/33.71 inference(modus_ponens,[status(thm)],[3617, 3616])).
% 53.49/33.71 tff(3619,plain,
% 53.49/33.71 (~v122(constB15)),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3618, 2120, 3551])).
% 53.49/33.71 tff(3620,plain,
% 53.49/33.71 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB15, 0)) | (~v90(constB15, 1)) | v90(constB15, 2) | v122(constB15))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB15, 0)) | (~v90(constB15, 1)) | v90(constB15, 2) | v122(constB15))),
% 53.49/33.71 inference(rewrite,[status(thm)],[])).
% 53.49/33.71 tff(3621,plain,
% 53.49/33.71 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB15, 0)) | (~v90(constB15, 1)) | v90(constB15, 2) | v122(constB15))),
% 53.49/33.71 inference(quant_inst,[status(thm)],[])).
% 53.49/33.71 tff(3622,plain,
% 53.49/33.71 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB15, 0)) | (~v90(constB15, 1)) | v90(constB15, 2) | v122(constB15)),
% 53.49/33.71 inference(modus_ponens,[status(thm)],[3621, 3620])).
% 53.49/33.71 tff(3623,plain,
% 53.49/33.71 ((~v90(constB15, 0)) | (~v90(constB15, 1)) | v90(constB15, 2)),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3622, 1956, 3619])).
% 53.49/33.71 tff(3624,plain,
% 53.49/33.71 (~v90(constB15, 1)),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3623, 3612, 3475])).
% 53.49/33.71 tff(3625,plain,
% 53.49/33.71 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB15) | (~v120(constB15)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB15) | (~v120(constB15)))),
% 53.49/33.71 inference(rewrite,[status(thm)],[])).
% 53.49/33.71 tff(3626,plain,
% 53.49/33.71 (((~v120(constB15)) | v118(constB15)) <=> (v118(constB15) | (~v120(constB15)))),
% 53.49/33.71 inference(rewrite,[status(thm)],[])).
% 53.49/33.71 tff(3627,plain,
% 53.49/33.71 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB15)) | v118(constB15))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB15) | (~v120(constB15))))),
% 53.49/33.71 inference(monotonicity,[status(thm)],[3626])).
% 53.49/33.71 tff(3628,plain,
% 53.49/33.71 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB15)) | v118(constB15))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB15) | (~v120(constB15)))),
% 53.49/33.71 inference(transitivity,[status(thm)],[3627, 3625])).
% 53.49/33.71 tff(3629,plain,
% 53.49/33.71 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB15)) | v118(constB15))),
% 53.49/33.71 inference(quant_inst,[status(thm)],[])).
% 53.49/33.71 tff(3630,plain,
% 53.49/33.71 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB15) | (~v120(constB15))),
% 53.49/33.71 inference(modus_ponens,[status(thm)],[3629, 3628])).
% 53.49/33.71 tff(3631,plain,
% 53.49/33.71 (~v120(constB15)),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3630, 1425, 3565])).
% 53.49/33.71 tff(3632,plain,
% 53.49/33.71 ((~v90(constB15, 0)) | v90(constB15, 1) | v90(constB15, 2)),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3447, 1414, 3631])).
% 53.49/33.71 tff(3633,plain,
% 53.49/33.71 ($false),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3632, 3624, 3612, 3475])).
% 53.49/33.71 tff(3634,plain,(v90(constB16, 2) | v100(constB16)), inference(lemma,lemma(discharge,[]))).
% 53.49/33.71 tff(3635,plain,
% 53.49/33.71 (v90(constB16, 2)),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3634, 3466])).
% 53.49/33.71 tff(3636,plain,
% 53.49/33.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB15, 2) | (~nextState(constB15, constB16)) | v100(constB16) | (~v90(constB16, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB15, 2) | (~nextState(constB15, constB16)) | v100(constB16) | (~v90(constB16, 2)))),
% 53.49/33.71 inference(rewrite,[status(thm)],[])).
% 53.49/33.71 tff(3637,plain,
% 53.49/33.71 (((~nextState(constB15, constB16)) | v90(constB15, 2) | v100(constB16) | (~v90(constB16, 2))) <=> (v90(constB15, 2) | (~nextState(constB15, constB16)) | v100(constB16) | (~v90(constB16, 2)))),
% 53.49/33.71 inference(rewrite,[status(thm)],[])).
% 53.49/33.71 tff(3638,plain,
% 53.49/33.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB15, constB16)) | v90(constB15, 2) | v100(constB16) | (~v90(constB16, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB15, 2) | (~nextState(constB15, constB16)) | v100(constB16) | (~v90(constB16, 2))))),
% 53.49/33.71 inference(monotonicity,[status(thm)],[3637])).
% 53.49/33.71 tff(3639,plain,
% 53.49/33.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB15, constB16)) | v90(constB15, 2) | v100(constB16) | (~v90(constB16, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB15, 2) | (~nextState(constB15, constB16)) | v100(constB16) | (~v90(constB16, 2)))),
% 53.49/33.71 inference(transitivity,[status(thm)],[3638, 3636])).
% 53.49/33.71 tff(3640,plain,
% 53.49/33.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB15, constB16)) | v90(constB15, 2) | v100(constB16) | (~v90(constB16, 2)))),
% 53.49/33.71 inference(quant_inst,[status(thm)],[])).
% 53.49/33.71 tff(3641,plain,
% 53.49/33.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB15, 2) | (~nextState(constB15, constB16)) | v100(constB16) | (~v90(constB16, 2))),
% 53.49/33.71 inference(modus_ponens,[status(thm)],[3640, 3639])).
% 53.49/33.71 tff(3642,plain,
% 53.49/33.71 (v90(constB15, 2) | v100(constB16) | (~v90(constB16, 2))),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3641, 905, 3460])).
% 53.49/33.71 tff(3643,plain,
% 53.49/33.71 (v90(constB15, 2)),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3642, 3635, 3466])).
% 53.49/33.71 tff(3644,plain,
% 53.49/33.71 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB15) | (~v125(constB15)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB15) | (~v125(constB15)))),
% 53.49/33.71 inference(rewrite,[status(thm)],[])).
% 53.49/33.71 tff(3645,plain,
% 53.49/33.71 (((~v125(constB15)) | v113(constB15)) <=> (v113(constB15) | (~v125(constB15)))),
% 53.49/33.71 inference(rewrite,[status(thm)],[])).
% 53.49/33.71 tff(3646,plain,
% 53.49/33.71 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB15)) | v113(constB15))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB15) | (~v125(constB15))))),
% 53.49/33.71 inference(monotonicity,[status(thm)],[3645])).
% 53.49/33.71 tff(3647,plain,
% 53.49/33.71 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB15)) | v113(constB15))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB15) | (~v125(constB15)))),
% 53.49/33.71 inference(transitivity,[status(thm)],[3646, 3644])).
% 53.49/33.71 tff(3648,plain,
% 53.49/33.71 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB15)) | v113(constB15))),
% 53.49/33.71 inference(quant_inst,[status(thm)],[])).
% 53.49/33.71 tff(3649,plain,
% 53.49/33.71 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB15) | (~v125(constB15))),
% 53.49/33.71 inference(modus_ponens,[status(thm)],[3648, 3647])).
% 53.49/33.71 tff(3650,plain,
% 53.49/33.71 (~v125(constB15)),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3649, 2262, 3530])).
% 53.49/33.71 tff(3651,plain,
% 53.49/33.71 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB15) | (~v123(constB15)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB15) | (~v123(constB15)))),
% 53.49/33.71 inference(rewrite,[status(thm)],[])).
% 53.49/33.71 tff(3652,plain,
% 53.49/33.71 (((~v123(constB15)) | v115(constB15)) <=> (v115(constB15) | (~v123(constB15)))),
% 53.49/33.71 inference(rewrite,[status(thm)],[])).
% 53.49/33.71 tff(3653,plain,
% 53.49/33.71 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB15)) | v115(constB15))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB15) | (~v123(constB15))))),
% 53.49/33.71 inference(monotonicity,[status(thm)],[3652])).
% 53.49/33.71 tff(3654,plain,
% 53.49/33.71 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB15)) | v115(constB15))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB15) | (~v123(constB15)))),
% 53.49/33.71 inference(transitivity,[status(thm)],[3653, 3651])).
% 53.49/33.71 tff(3655,plain,
% 53.49/33.71 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB15)) | v115(constB15))),
% 53.49/33.71 inference(quant_inst,[status(thm)],[])).
% 53.49/33.71 tff(3656,plain,
% 53.49/33.71 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB15) | (~v123(constB15))),
% 53.49/33.71 inference(modus_ponens,[status(thm)],[3655, 3654])).
% 53.49/33.71 tff(3657,plain,
% 53.49/33.71 (~v123(constB15)),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3656, 2291, 3544])).
% 53.49/33.71 tff(3658,assumption,(v90(constB15, 2)), introduced(assumption)).
% 53.49/33.71 tff(3659,assumption,(~v90(constB15, 0)), introduced(assumption)).
% 53.49/33.71 tff(3660,assumption,(~v125(constB15)), introduced(assumption)).
% 53.49/33.71 tff(3661,plain,
% 53.49/33.71 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB15, 0) | (~v90(constB15, 1)) | (~v90(constB15, 2)) | v125(constB15))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB15, 0) | (~v90(constB15, 1)) | (~v90(constB15, 2)) | v125(constB15))),
% 53.49/33.71 inference(rewrite,[status(thm)],[])).
% 53.49/33.71 tff(3662,plain,
% 53.49/33.71 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB15, 0) | (~v90(constB15, 1)) | (~v90(constB15, 2)) | v125(constB15))),
% 53.49/33.71 inference(quant_inst,[status(thm)],[])).
% 53.49/33.71 tff(3663,plain,
% 53.49/33.71 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB15, 0) | (~v90(constB15, 1)) | (~v90(constB15, 2)) | v125(constB15)),
% 53.49/33.71 inference(modus_ponens,[status(thm)],[3662, 3661])).
% 53.49/33.71 tff(3664,plain,
% 53.49/33.71 (v90(constB15, 0) | (~v90(constB15, 1)) | (~v90(constB15, 2))),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3663, 2279, 3660])).
% 53.49/33.71 tff(3665,plain,
% 53.49/33.71 (~v90(constB15, 1)),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3664, 3659, 3658])).
% 53.49/33.71 tff(3666,assumption,(~v123(constB15)), introduced(assumption)).
% 53.49/33.71 tff(3667,plain,
% 53.49/33.71 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB15, 0) | v90(constB15, 1) | (~v90(constB15, 2)) | v123(constB15))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB15, 0) | v90(constB15, 1) | (~v90(constB15, 2)) | v123(constB15))),
% 53.49/33.71 inference(rewrite,[status(thm)],[])).
% 53.49/33.71 tff(3668,plain,
% 53.49/33.71 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB15, 0) | v90(constB15, 1) | (~v90(constB15, 2)) | v123(constB15))),
% 53.49/33.71 inference(quant_inst,[status(thm)],[])).
% 53.49/33.71 tff(3669,plain,
% 53.49/33.71 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB15, 0) | v90(constB15, 1) | (~v90(constB15, 2)) | v123(constB15)),
% 53.49/33.71 inference(modus_ponens,[status(thm)],[3668, 3667])).
% 53.49/33.71 tff(3670,plain,
% 53.49/33.71 (v90(constB15, 0) | v90(constB15, 1) | (~v90(constB15, 2))),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3669, 2308, 3666])).
% 53.49/33.71 tff(3671,plain,
% 53.49/33.71 ($false),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3670, 3665, 3659, 3658])).
% 53.49/33.71 tff(3672,plain,(v90(constB15, 0) | (~v90(constB15, 2)) | v123(constB15) | v125(constB15)), inference(lemma,lemma(discharge,[]))).
% 53.49/33.71 tff(3673,plain,
% 53.49/33.71 (v90(constB15, 0)),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3672, 3643, 3657, 3650])).
% 53.49/33.71 tff(3674,plain,
% 53.49/33.71 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB15) | (~v124(constB15)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB15) | (~v124(constB15)))),
% 53.49/33.71 inference(rewrite,[status(thm)],[])).
% 53.49/33.71 tff(3675,plain,
% 53.49/33.71 (((~v124(constB15)) | v114(constB15)) <=> (v114(constB15) | (~v124(constB15)))),
% 53.49/33.71 inference(rewrite,[status(thm)],[])).
% 53.49/33.71 tff(3676,plain,
% 53.49/33.71 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB15)) | v114(constB15))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB15) | (~v124(constB15))))),
% 53.49/33.71 inference(monotonicity,[status(thm)],[3675])).
% 53.49/33.71 tff(3677,plain,
% 53.49/33.71 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB15)) | v114(constB15))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB15) | (~v124(constB15)))),
% 53.49/33.71 inference(transitivity,[status(thm)],[3676, 3674])).
% 53.49/33.71 tff(3678,plain,
% 53.49/33.71 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB15)) | v114(constB15))),
% 53.49/33.71 inference(quant_inst,[status(thm)],[])).
% 53.49/33.71 tff(3679,plain,
% 53.49/33.71 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB15) | (~v124(constB15))),
% 53.49/33.71 inference(modus_ponens,[status(thm)],[3678, 3677])).
% 53.49/33.71 tff(3680,plain,
% 53.49/33.71 (~v124(constB15)),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3679, 2674, 3537])).
% 53.49/33.71 tff(3681,plain,
% 53.49/33.71 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB15, 0)) | v90(constB15, 1) | (~v90(constB15, 2)) | v124(constB15))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB15, 0)) | v90(constB15, 1) | (~v90(constB15, 2)) | v124(constB15))),
% 53.49/33.71 inference(rewrite,[status(thm)],[])).
% 53.49/33.71 tff(3682,plain,
% 53.49/33.71 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB15, 0)) | v90(constB15, 1) | (~v90(constB15, 2)) | v124(constB15))),
% 53.49/33.71 inference(quant_inst,[status(thm)],[])).
% 53.49/33.71 tff(3683,plain,
% 53.49/33.71 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB15, 0)) | v90(constB15, 1) | (~v90(constB15, 2)) | v124(constB15)),
% 53.49/33.71 inference(modus_ponens,[status(thm)],[3682, 3681])).
% 53.49/33.71 tff(3684,plain,
% 53.49/33.71 ((~v90(constB15, 0)) | v90(constB15, 1) | (~v90(constB15, 2))),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3683, 2663, 3680])).
% 53.49/33.71 tff(3685,plain,
% 53.49/33.71 (v90(constB15, 1)),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3684, 3673, 3643])).
% 53.49/33.71 tff(3686,plain,
% 53.49/33.71 (v90(constB14, 1)),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3402, 3685])).
% 53.49/33.71 tff(3687,plain,
% 53.49/33.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB14, 0) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB14, 0) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, 0)))),
% 53.49/33.71 inference(rewrite,[status(thm)],[])).
% 53.49/33.71 tff(3688,plain,
% 53.49/33.71 (((~nextState(constB14, constB15)) | v90(constB14, 0) | v100(constB15) | (~v90(constB15, 0))) <=> (v90(constB14, 0) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, 0)))),
% 53.49/33.71 inference(rewrite,[status(thm)],[])).
% 53.49/33.71 tff(3689,plain,
% 53.49/33.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB14, constB15)) | v90(constB14, 0) | v100(constB15) | (~v90(constB15, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB14, 0) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, 0))))),
% 53.49/33.71 inference(monotonicity,[status(thm)],[3688])).
% 53.49/33.71 tff(3690,plain,
% 53.49/33.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB14, constB15)) | v90(constB14, 0) | v100(constB15) | (~v90(constB15, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB14, 0) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, 0)))),
% 53.49/33.71 inference(transitivity,[status(thm)],[3689, 3687])).
% 53.49/33.71 tff(3691,plain,
% 53.49/33.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB14, constB15)) | v90(constB14, 0) | v100(constB15) | (~v90(constB15, 0)))),
% 53.49/33.71 inference(quant_inst,[status(thm)],[])).
% 53.49/33.71 tff(3692,plain,
% 53.49/33.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB14, 0) | (~nextState(constB14, constB15)) | v100(constB15) | (~v90(constB15, 0))),
% 53.49/33.71 inference(modus_ponens,[status(thm)],[3691, 3690])).
% 53.49/33.71 tff(3693,plain,
% 53.49/33.71 (v90(constB14, 0) | v100(constB15) | (~v90(constB15, 0))),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3692, 947, 3348])).
% 53.49/33.71 tff(3694,plain,
% 53.49/33.71 (v90(constB14, 0) | (~v90(constB15, 0))),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3693, 3360])).
% 53.49/33.71 tff(3695,plain,
% 53.49/33.71 (v90(constB14, 0)),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3694, 3673])).
% 53.49/33.71 tff(3696,plain,
% 53.49/33.71 (v90(constB14, 2)),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3368, 3643])).
% 53.49/33.71 tff(3697,assumption,(v90(constB14, 2)), introduced(assumption)).
% 53.49/33.71 tff(3698,plain,
% 53.49/33.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB13, 2) | (~nextState(constB13, constB14)) | v100(constB14) | (~v90(constB14, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB13, 2) | (~nextState(constB13, constB14)) | v100(constB14) | (~v90(constB14, 2)))),
% 53.49/33.71 inference(rewrite,[status(thm)],[])).
% 53.49/33.71 tff(3699,plain,
% 53.49/33.71 (((~nextState(constB13, constB14)) | v90(constB13, 2) | v100(constB14) | (~v90(constB14, 2))) <=> (v90(constB13, 2) | (~nextState(constB13, constB14)) | v100(constB14) | (~v90(constB14, 2)))),
% 53.49/33.71 inference(rewrite,[status(thm)],[])).
% 53.49/33.71 tff(3700,plain,
% 53.49/33.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB13, constB14)) | v90(constB13, 2) | v100(constB14) | (~v90(constB14, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB13, 2) | (~nextState(constB13, constB14)) | v100(constB14) | (~v90(constB14, 2))))),
% 53.49/33.71 inference(monotonicity,[status(thm)],[3699])).
% 53.49/33.71 tff(3701,plain,
% 53.49/33.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB13, constB14)) | v90(constB13, 2) | v100(constB14) | (~v90(constB14, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB13, 2) | (~nextState(constB13, constB14)) | v100(constB14) | (~v90(constB14, 2)))),
% 53.49/33.71 inference(transitivity,[status(thm)],[3700, 3698])).
% 53.49/33.71 tff(3702,plain,
% 53.49/33.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB13, constB14)) | v90(constB13, 2) | v100(constB14) | (~v90(constB14, 2)))),
% 53.49/33.71 inference(quant_inst,[status(thm)],[])).
% 53.49/33.71 tff(3703,plain,
% 53.49/33.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB13, 2) | (~nextState(constB13, constB14)) | v100(constB14) | (~v90(constB14, 2))),
% 53.49/33.71 inference(modus_ponens,[status(thm)],[3702, 3701])).
% 53.49/33.71 tff(3704,plain,
% 53.49/33.71 (v90(constB13, 2) | v100(constB14) | (~v90(constB14, 2))),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3703, 905, 2923])).
% 53.49/33.71 tff(3705,plain,
% 53.49/33.71 (v100(constB14)),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3704, 3075, 3697])).
% 53.49/33.71 tff(3706,plain,
% 53.49/33.71 (v129(constB14, 2) | (~v100(constB14))),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3340, 1223, 3697])).
% 53.49/33.71 tff(3707,plain,
% 53.49/33.71 (v129(constB14, 2)),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3706, 3705])).
% 53.49/33.71 tff(3708,plain,
% 53.49/33.71 (v127(constB13, 2)),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[2927, 3707])).
% 53.49/33.71 tff(3709,plain,
% 53.49/33.71 (^[VarCurr: state_type] : refl(((~v26(VarCurr)) | (~v127(VarCurr, 2))) <=> ((~v26(VarCurr)) | (~v127(VarCurr, 2))))),
% 53.49/33.71 inference(bind,[status(th)],[])).
% 53.49/33.71 tff(3710,plain,
% 53.49/33.71 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))),
% 53.49/33.71 inference(quant_intro,[status(thm)],[3709])).
% 53.49/33.71 tff(3711,plain,
% 53.49/33.71 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))),
% 53.49/33.71 inference(rewrite,[status(thm)],[])).
% 53.49/33.71 tff(3712,axiom,(![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_1_1_1_3')).
% 53.49/33.71 tff(3713,plain,
% 53.49/33.71 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))),
% 53.49/33.71 inference(modus_ponens,[status(thm)],[3712, 3711])).
% 53.49/33.71 tff(3714,plain,(
% 53.49/33.71 ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))),
% 53.49/33.71 inference(skolemize,[status(sab)],[3713])).
% 53.49/33.71 tff(3715,plain,
% 53.49/33.71 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))),
% 53.49/33.71 inference(modus_ponens,[status(thm)],[3714, 3710])).
% 53.49/33.71 tff(3716,plain,
% 53.49/33.71 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | ((~v26(constB13)) | (~v127(constB13, 2)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | (~v26(constB13)) | (~v127(constB13, 2)))),
% 53.49/33.71 inference(rewrite,[status(thm)],[])).
% 53.49/33.71 tff(3717,plain,
% 53.49/33.71 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | ((~v26(constB13)) | (~v127(constB13, 2)))),
% 53.49/33.71 inference(quant_inst,[status(thm)],[])).
% 53.49/33.71 tff(3718,plain,
% 53.49/33.71 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | (~v26(constB13)) | (~v127(constB13, 2))),
% 53.49/33.71 inference(modus_ponens,[status(thm)],[3717, 3716])).
% 53.49/33.71 tff(3719,plain,
% 53.49/33.71 (~v26(constB13)),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3718, 3715, 3708])).
% 53.49/33.71 tff(3720,plain,
% 53.49/33.71 (v130(constB13, 2)),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[2918, 1190, 3708, 3719])).
% 53.49/33.71 tff(3721,plain,
% 53.49/33.71 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB13)) | (~v130(constB13, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB13)) | (~v130(constB13, 2)))),
% 53.49/33.71 inference(rewrite,[status(thm)],[])).
% 53.49/33.71 tff(3722,plain,
% 53.49/33.71 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB13)) | (~v130(constB13, 2)))),
% 53.49/33.71 inference(quant_inst,[status(thm)],[])).
% 53.49/33.71 tff(3723,plain,
% 53.49/33.71 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB13)) | (~v130(constB13, 2))),
% 53.49/33.71 inference(modus_ponens,[status(thm)],[3722, 3721])).
% 53.49/33.71 tff(3724,plain,
% 53.49/33.71 (~v119(constB13)),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3723, 1176, 3720])).
% 53.49/33.71 tff(3725,plain,
% 53.49/33.71 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB13)) | (~v130(constB13, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB13)) | (~v130(constB13, 2)))),
% 53.49/33.71 inference(rewrite,[status(thm)],[])).
% 53.49/33.71 tff(3726,plain,
% 53.49/33.71 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB13)) | (~v130(constB13, 2)))),
% 53.49/33.71 inference(quant_inst,[status(thm)],[])).
% 53.49/33.71 tff(3727,plain,
% 53.49/33.71 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB13)) | (~v130(constB13, 2))),
% 53.49/33.71 inference(modus_ponens,[status(thm)],[3726, 3725])).
% 53.49/33.71 tff(3728,plain,
% 53.49/33.71 (~v120(constB13)),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3727, 1523, 3720])).
% 53.49/33.71 tff(3729,plain,
% 53.49/33.71 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB13)) | (~v130(constB13, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB13)) | (~v130(constB13, 2)))),
% 53.49/33.71 inference(rewrite,[status(thm)],[])).
% 53.49/33.71 tff(3730,plain,
% 53.49/33.71 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB13)) | (~v130(constB13, 2)))),
% 53.49/33.71 inference(quant_inst,[status(thm)],[])).
% 53.49/33.71 tff(3731,plain,
% 53.49/33.71 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB13)) | (~v130(constB13, 2))),
% 53.49/33.71 inference(modus_ponens,[status(thm)],[3730, 3729])).
% 53.49/33.71 tff(3732,plain,
% 53.49/33.71 (~v121(constB13)),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3731, 1821, 3720])).
% 53.49/33.71 tff(3733,plain,
% 53.49/33.71 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB14, 0)) | v129(constB14, 0) | (~v100(constB14)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB14, 0)) | v129(constB14, 0) | (~v100(constB14)))),
% 53.49/33.71 inference(rewrite,[status(thm)],[])).
% 53.49/33.71 tff(3734,plain,
% 53.49/33.71 (((~v90(constB14, 0)) | (~v100(constB14)) | v129(constB14, 0)) <=> ((~v90(constB14, 0)) | v129(constB14, 0) | (~v100(constB14)))),
% 53.49/33.71 inference(rewrite,[status(thm)],[])).
% 53.49/33.71 tff(3735,plain,
% 53.49/33.71 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB14, 0)) | (~v100(constB14)) | v129(constB14, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB14, 0)) | v129(constB14, 0) | (~v100(constB14))))),
% 53.49/33.71 inference(monotonicity,[status(thm)],[3734])).
% 53.49/33.71 tff(3736,plain,
% 53.49/33.71 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB14, 0)) | (~v100(constB14)) | v129(constB14, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB14, 0)) | v129(constB14, 0) | (~v100(constB14)))),
% 53.49/33.71 inference(transitivity,[status(thm)],[3735, 3733])).
% 53.49/33.71 tff(3737,plain,
% 53.49/33.71 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB14, 0)) | (~v100(constB14)) | v129(constB14, 0))),
% 53.49/33.71 inference(quant_inst,[status(thm)],[])).
% 53.49/33.71 tff(3738,plain,
% 53.49/33.71 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB14, 0)) | v129(constB14, 0) | (~v100(constB14))),
% 53.49/33.71 inference(modus_ponens,[status(thm)],[3737, 3736])).
% 53.49/33.71 tff(3739,plain,
% 53.49/33.71 (v129(constB14, 0) | (~v100(constB14))),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3738, 1704, 3116])).
% 53.49/33.71 tff(3740,plain,
% 53.49/33.71 (v129(constB14, 0)),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3739, 3705])).
% 53.49/33.71 tff(3741,plain,
% 53.49/33.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB13, constB14)) | v127(constB13, 0) | (~v129(constB14, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB13, constB14)) | v127(constB13, 0) | (~v129(constB14, 0)))),
% 53.49/33.71 inference(rewrite,[status(thm)],[])).
% 53.49/33.71 tff(3742,plain,
% 53.49/33.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB13, constB14)) | v127(constB13, 0) | (~v129(constB14, 0)))),
% 53.49/33.71 inference(quant_inst,[status(thm)],[])).
% 53.49/33.71 tff(3743,plain,
% 53.49/33.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB13, constB14)) | v127(constB13, 0) | (~v129(constB14, 0))),
% 53.49/33.71 inference(modus_ponens,[status(thm)],[3742, 3741])).
% 53.49/33.71 tff(3744,plain,
% 53.49/33.71 (v127(constB13, 0) | (~v129(constB14, 0))),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3743, 1689, 2923])).
% 53.49/33.71 tff(3745,plain,
% 53.49/33.71 (v127(constB13, 0)),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3744, 3740])).
% 53.49/33.71 tff(3746,plain,
% 53.49/33.71 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB13, 0)) | v26(constB13) | v130(constB13, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB13, 0)) | v26(constB13) | v130(constB13, 0))),
% 53.49/33.71 inference(rewrite,[status(thm)],[])).
% 53.49/33.71 tff(3747,plain,
% 53.49/33.71 ((v26(constB13) | v130(constB13, 0) | (~v127(constB13, 0))) <=> ((~v127(constB13, 0)) | v26(constB13) | v130(constB13, 0))),
% 53.49/33.71 inference(rewrite,[status(thm)],[])).
% 53.49/33.71 tff(3748,plain,
% 53.49/33.71 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB13) | v130(constB13, 0) | (~v127(constB13, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB13, 0)) | v26(constB13) | v130(constB13, 0)))),
% 53.49/33.71 inference(monotonicity,[status(thm)],[3747])).
% 53.49/33.71 tff(3749,plain,
% 53.49/33.71 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB13) | v130(constB13, 0) | (~v127(constB13, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB13, 0)) | v26(constB13) | v130(constB13, 0))),
% 53.49/33.71 inference(transitivity,[status(thm)],[3748, 3746])).
% 53.49/33.71 tff(3750,plain,
% 53.49/33.71 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB13) | v130(constB13, 0) | (~v127(constB13, 0)))),
% 53.49/33.71 inference(quant_inst,[status(thm)],[])).
% 53.49/33.71 tff(3751,plain,
% 53.49/33.71 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB13, 0)) | v26(constB13) | v130(constB13, 0)),
% 53.49/33.71 inference(modus_ponens,[status(thm)],[3750, 3749])).
% 53.49/33.71 tff(3752,plain,
% 53.49/33.71 (v130(constB13, 0)),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3751, 1671, 3745, 3719])).
% 53.49/33.71 tff(3753,plain,
% 53.49/33.71 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB13)) | (~v130(constB13, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB13)) | (~v130(constB13, 0)))),
% 53.49/33.71 inference(rewrite,[status(thm)],[])).
% 53.49/33.71 tff(3754,plain,
% 53.49/33.71 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB13)) | (~v130(constB13, 0)))),
% 53.49/33.71 inference(quant_inst,[status(thm)],[])).
% 53.49/33.71 tff(3755,plain,
% 53.49/33.71 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB13)) | (~v130(constB13, 0))),
% 53.49/33.71 inference(modus_ponens,[status(thm)],[3754, 3753])).
% 53.49/33.71 tff(3756,plain,
% 53.49/33.71 (~v122(constB13)),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3755, 2407, 3752])).
% 53.49/33.71 tff(3757,plain,
% 53.49/33.71 (^[VarCurr: state_type] : refl(((~v123(VarCurr)) | v90(VarCurr, 2)) <=> ((~v123(VarCurr)) | v90(VarCurr, 2)))),
% 53.49/33.71 inference(bind,[status(th)],[])).
% 53.49/33.71 tff(3758,plain,
% 53.49/33.71 (![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))),
% 53.49/33.71 inference(quant_intro,[status(thm)],[3757])).
% 53.49/33.71 tff(3759,plain,
% 53.49/33.71 (![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))),
% 53.49/33.71 inference(rewrite,[status(thm)],[])).
% 53.49/33.71 tff(3760,axiom,(![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_6_1_1_2')).
% 53.49/33.71 tff(3761,plain,
% 53.49/33.71 (![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))),
% 53.49/33.71 inference(modus_ponens,[status(thm)],[3760, 3759])).
% 53.49/33.71 tff(3762,plain,(
% 53.49/33.71 ![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))),
% 53.49/33.71 inference(skolemize,[status(sab)],[3761])).
% 53.49/33.71 tff(3763,plain,
% 53.49/33.71 (![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))),
% 53.49/33.71 inference(modus_ponens,[status(thm)],[3762, 3758])).
% 53.49/33.71 tff(3764,plain,
% 53.49/33.71 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | ((~v123(constB13)) | v90(constB13, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | (~v123(constB13)) | v90(constB13, 2))),
% 53.49/33.71 inference(rewrite,[status(thm)],[])).
% 53.49/33.71 tff(3765,plain,
% 53.49/33.71 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | ((~v123(constB13)) | v90(constB13, 2))),
% 53.49/33.71 inference(quant_inst,[status(thm)],[])).
% 53.49/33.71 tff(3766,plain,
% 53.49/33.71 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | (~v123(constB13)) | v90(constB13, 2)),
% 53.49/33.71 inference(modus_ponens,[status(thm)],[3765, 3764])).
% 53.49/33.71 tff(3767,plain,
% 53.49/33.71 (~v123(constB13)),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3766, 3763, 3075])).
% 53.49/33.71 tff(3768,plain,
% 53.49/33.71 (^[VarCurr: state_type] : refl(((~v124(VarCurr)) | v90(VarCurr, 2)) <=> ((~v124(VarCurr)) | v90(VarCurr, 2)))),
% 53.49/33.71 inference(bind,[status(th)],[])).
% 53.49/33.71 tff(3769,plain,
% 53.49/33.71 (![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))),
% 53.49/33.71 inference(quant_intro,[status(thm)],[3768])).
% 53.49/33.71 tff(3770,plain,
% 53.49/33.71 (![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))),
% 53.49/33.71 inference(rewrite,[status(thm)],[])).
% 53.49/33.71 tff(3771,axiom,(![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_2')).
% 53.49/33.71 tff(3772,plain,
% 53.49/33.71 (![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))),
% 53.49/33.71 inference(modus_ponens,[status(thm)],[3771, 3770])).
% 53.49/33.71 tff(3773,plain,(
% 53.49/33.71 ![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))),
% 53.49/33.71 inference(skolemize,[status(sab)],[3772])).
% 53.49/33.71 tff(3774,plain,
% 53.49/33.71 (![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))),
% 53.49/33.71 inference(modus_ponens,[status(thm)],[3773, 3769])).
% 53.49/33.71 tff(3775,plain,
% 53.49/33.71 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | ((~v124(constB13)) | v90(constB13, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | (~v124(constB13)) | v90(constB13, 2))),
% 53.49/33.71 inference(rewrite,[status(thm)],[])).
% 53.49/33.71 tff(3776,plain,
% 53.49/33.71 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | ((~v124(constB13)) | v90(constB13, 2))),
% 53.49/33.71 inference(quant_inst,[status(thm)],[])).
% 53.49/33.71 tff(3777,plain,
% 53.49/33.71 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | (~v124(constB13)) | v90(constB13, 2)),
% 53.49/33.71 inference(modus_ponens,[status(thm)],[3776, 3775])).
% 53.49/33.71 tff(3778,plain,
% 53.49/33.71 (~v124(constB13)),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3777, 3774, 3075])).
% 53.49/33.71 tff(3779,plain,
% 53.49/33.71 (v129(constB14, 1) | (~v100(constB14))),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3392, 1309, 3135])).
% 53.49/33.71 tff(3780,plain,
% 53.49/33.71 (v129(constB14, 1)),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3779, 3705])).
% 53.49/33.71 tff(3781,plain,
% 53.49/33.71 (v127(constB13, 1)),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3385, 3780])).
% 53.49/33.71 tff(3782,plain,
% 53.49/33.71 (v130(constB13, 1)),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3379, 1276, 3781, 3719])).
% 53.49/33.71 tff(3783,plain,
% 53.49/33.71 ($false),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3372, 3309, 3782, 3778, 3767, 3756, 3732, 3728, 3724])).
% 53.49/33.71 tff(3784,plain,(v90(constB13, 2) | (~v90(constB14, 1)) | (~v90(constB14, 0)) | (~v90(constB14, 2))), inference(lemma,lemma(discharge,[]))).
% 53.49/33.71 tff(3785,plain,
% 53.49/33.71 (v90(constB13, 2)),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3784, 3686, 3695, 3696])).
% 53.49/33.71 tff(3786,plain,
% 53.49/33.71 (v90(constB12, 2)),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3114, 3785])).
% 53.49/33.71 tff(3787,plain,
% 53.49/33.71 (v100(constB14)),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3327, 3786, 3695, 3686])).
% 53.49/33.71 tff(3788,plain,
% 53.49/33.71 (v129(constB14, 2) | (~v100(constB14))),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3340, 1223, 3696])).
% 53.49/33.71 tff(3789,plain,
% 53.49/33.71 (v129(constB14, 2)),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3788, 3787])).
% 53.49/33.71 tff(3790,plain,
% 53.49/33.71 (v127(constB13, 2)),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[2927, 3789])).
% 53.49/33.71 tff(3791,plain,
% 53.49/33.71 (~v26(constB13)),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3718, 3715, 3790])).
% 53.49/33.71 tff(3792,plain,
% 53.49/33.71 (v129(constB14, 1) | (~v100(constB14))),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3392, 1309, 3686])).
% 53.49/33.71 tff(3793,plain,
% 53.49/33.71 (v129(constB14, 1)),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3792, 3787])).
% 53.49/33.71 tff(3794,plain,
% 53.49/33.71 (v127(constB13, 1)),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3385, 3793])).
% 53.49/33.71 tff(3795,plain,
% 53.49/33.71 (v130(constB13, 1)),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3379, 1276, 3794, 3791])).
% 53.49/33.71 tff(3796,plain,
% 53.49/33.71 (v129(constB14, 0) | (~v100(constB14))),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3738, 1704, 3695])).
% 53.49/33.71 tff(3797,plain,
% 53.49/33.71 (v129(constB14, 0)),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3796, 3787])).
% 53.49/33.71 tff(3798,plain,
% 53.49/33.71 (v127(constB13, 0)),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3744, 3797])).
% 53.49/33.71 tff(3799,plain,
% 53.49/33.71 (v130(constB13, 0)),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3751, 1671, 3798, 3791])).
% 53.49/33.71 tff(3800,plain,
% 53.49/33.71 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB13)) | (~v130(constB13, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB13)) | (~v130(constB13, 0)))),
% 53.49/33.71 inference(rewrite,[status(thm)],[])).
% 53.49/33.71 tff(3801,plain,
% 53.49/33.71 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB13)) | (~v130(constB13, 0)))),
% 53.49/33.71 inference(quant_inst,[status(thm)],[])).
% 53.49/33.71 tff(3802,plain,
% 53.49/33.71 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB13)) | (~v130(constB13, 0))),
% 53.49/33.71 inference(modus_ponens,[status(thm)],[3801, 3800])).
% 53.49/33.71 tff(3803,plain,
% 53.49/33.71 (~v124(constB13)),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3802, 3274, 3799])).
% 53.49/33.71 tff(3804,plain,
% 53.49/33.71 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB13)) | (~v130(constB13, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB13)) | (~v130(constB13, 1)))),
% 53.49/33.71 inference(rewrite,[status(thm)],[])).
% 53.49/33.71 tff(3805,plain,
% 53.49/33.71 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB13)) | (~v130(constB13, 1)))),
% 53.49/33.71 inference(quant_inst,[status(thm)],[])).
% 53.49/33.71 tff(3806,plain,
% 53.49/33.71 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB13)) | (~v130(constB13, 1))),
% 53.49/33.71 inference(modus_ponens,[status(thm)],[3805, 3804])).
% 53.49/33.71 tff(3807,plain,
% 53.49/33.71 (~v123(constB13)),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3806, 2581, 3795])).
% 53.49/33.71 tff(3808,plain,
% 53.49/33.71 (^[VarCurr: state_type] : refl(((~v119(VarCurr)) | (~v90(VarCurr, 2))) <=> ((~v119(VarCurr)) | (~v90(VarCurr, 2))))),
% 53.49/33.71 inference(bind,[status(th)],[])).
% 53.49/33.71 tff(3809,plain,
% 53.49/33.71 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))),
% 53.49/33.71 inference(quant_intro,[status(thm)],[3808])).
% 53.49/33.71 tff(3810,plain,
% 53.49/33.71 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))),
% 53.49/33.71 inference(rewrite,[status(thm)],[])).
% 53.49/33.71 tff(3811,axiom,(![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_2')).
% 53.49/33.71 tff(3812,plain,
% 53.49/33.71 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))),
% 53.49/33.71 inference(modus_ponens,[status(thm)],[3811, 3810])).
% 53.49/33.71 tff(3813,plain,(
% 53.49/33.71 ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))),
% 53.49/33.71 inference(skolemize,[status(sab)],[3812])).
% 53.49/33.71 tff(3814,plain,
% 53.49/33.71 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))),
% 53.49/33.71 inference(modus_ponens,[status(thm)],[3813, 3809])).
% 53.49/33.71 tff(3815,plain,
% 53.49/33.71 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v119(constB13)) | (~v90(constB13, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | (~v119(constB13)) | (~v90(constB13, 2)))),
% 53.49/33.71 inference(rewrite,[status(thm)],[])).
% 53.49/33.71 tff(3816,plain,
% 53.49/33.71 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v119(constB13)) | (~v90(constB13, 2)))),
% 53.49/33.71 inference(quant_inst,[status(thm)],[])).
% 53.49/33.71 tff(3817,plain,
% 53.49/33.71 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | (~v119(constB13)) | (~v90(constB13, 2))),
% 53.49/33.71 inference(modus_ponens,[status(thm)],[3816, 3815])).
% 53.49/33.71 tff(3818,plain,
% 53.49/33.71 (~v119(constB13)),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3817, 3814, 3785])).
% 53.49/33.71 tff(3819,plain,
% 53.49/33.71 (^[VarCurr: state_type] : refl(((~v120(VarCurr)) | (~v90(VarCurr, 2))) <=> ((~v120(VarCurr)) | (~v90(VarCurr, 2))))),
% 53.49/33.71 inference(bind,[status(th)],[])).
% 53.49/33.71 tff(3820,plain,
% 53.49/33.71 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))),
% 53.49/33.71 inference(quant_intro,[status(thm)],[3819])).
% 53.49/33.71 tff(3821,plain,
% 53.49/33.71 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))),
% 53.49/33.71 inference(rewrite,[status(thm)],[])).
% 53.49/33.71 tff(3822,axiom,(![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3_1_1_3')).
% 53.49/33.71 tff(3823,plain,
% 53.49/33.71 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))),
% 53.49/33.71 inference(modus_ponens,[status(thm)],[3822, 3821])).
% 53.49/33.71 tff(3824,plain,(
% 53.49/33.71 ![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))),
% 53.49/33.71 inference(skolemize,[status(sab)],[3823])).
% 53.49/33.71 tff(3825,plain,
% 53.49/33.71 (![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))),
% 53.49/33.71 inference(modus_ponens,[status(thm)],[3824, 3820])).
% 53.49/33.71 tff(3826,plain,
% 53.49/33.71 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v120(constB13)) | (~v90(constB13, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | (~v120(constB13)) | (~v90(constB13, 2)))),
% 53.49/33.71 inference(rewrite,[status(thm)],[])).
% 53.49/33.71 tff(3827,plain,
% 53.49/33.71 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v120(constB13)) | (~v90(constB13, 2)))),
% 53.49/33.71 inference(quant_inst,[status(thm)],[])).
% 53.49/33.71 tff(3828,plain,
% 53.49/33.71 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | (~v120(constB13)) | (~v90(constB13, 2))),
% 53.49/33.71 inference(modus_ponens,[status(thm)],[3827, 3826])).
% 53.49/33.71 tff(3829,plain,
% 53.49/33.71 (~v120(constB13)),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3828, 3825, 3785])).
% 53.49/33.71 tff(3830,plain,
% 53.49/33.71 (~v121(constB13)),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[2860, 2857, 3785])).
% 53.49/33.71 tff(3831,plain,
% 53.49/33.71 (~v122(constB13)),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[2800, 2797, 3785])).
% 53.49/33.71 tff(3832,plain,
% 53.49/33.71 (v123(constB13) | v124(constB13) | (~v130(constB13, 1))),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3372, 3309, 3831, 3830, 3829, 3818])).
% 53.49/33.71 tff(3833,plain,
% 53.49/33.71 ($false),
% 53.49/33.71 inference(unit_resolution,[status(thm)],[3832, 3807, 3803, 3795])).
% 53.49/33.71 tff(3834,plain,(v100(constB16)), inference(lemma,lemma(discharge,[]))).
% 53.49/33.71 tff(3835,plain,
% 53.49/33.71 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB16, 1) | (~v129(constB16, 1)) | (~v100(constB16)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB16, 1) | (~v129(constB16, 1)) | (~v100(constB16)))),
% 53.49/33.72 inference(rewrite,[status(thm)],[])).
% 53.49/33.72 tff(3836,plain,
% 53.49/33.72 ((v90(constB16, 1) | (~v100(constB16)) | (~v129(constB16, 1))) <=> (v90(constB16, 1) | (~v129(constB16, 1)) | (~v100(constB16)))),
% 53.49/33.72 inference(rewrite,[status(thm)],[])).
% 53.49/33.72 tff(3837,plain,
% 53.49/33.72 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB16, 1) | (~v100(constB16)) | (~v129(constB16, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB16, 1) | (~v129(constB16, 1)) | (~v100(constB16))))),
% 53.49/33.72 inference(monotonicity,[status(thm)],[3836])).
% 53.49/33.72 tff(3838,plain,
% 53.49/33.72 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB16, 1) | (~v100(constB16)) | (~v129(constB16, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB16, 1) | (~v129(constB16, 1)) | (~v100(constB16)))),
% 53.49/33.72 inference(transitivity,[status(thm)],[3837, 3835])).
% 53.49/33.72 tff(3839,plain,
% 53.49/33.72 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB16, 1) | (~v100(constB16)) | (~v129(constB16, 1)))),
% 53.49/33.72 inference(quant_inst,[status(thm)],[])).
% 53.49/33.72 tff(3840,plain,
% 53.49/33.72 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB16, 1) | (~v129(constB16, 1)) | (~v100(constB16))),
% 53.49/33.72 inference(modus_ponens,[status(thm)],[3839, 3838])).
% 53.49/33.72 tff(3841,plain,
% 53.49/33.72 (v90(constB16, 1) | (~v129(constB16, 1))),
% 53.49/33.72 inference(unit_resolution,[status(thm)],[3840, 1623, 3834])).
% 53.49/33.72 tff(3842,plain,
% 53.49/33.72 (v90(constB16, 1)),
% 53.49/33.72 inference(unit_resolution,[status(thm)],[3841, 3465])).
% 53.49/33.72 tff(3843,plain,
% 53.49/33.72 ((~v1(constB17)) <=> (~v1(constB17))),
% 53.49/33.72 inference(rewrite,[status(thm)],[])).
% 53.49/33.72 tff(3844,axiom,(~v1(constB17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_17_1_1')).
% 53.49/33.72 tff(3845,plain,
% 53.49/33.72 (~v1(constB17)),
% 53.49/33.72 inference(modus_ponens,[status(thm)],[3844, 3843])).
% 53.49/33.72 tff(3846,plain,
% 53.49/33.72 (nextState(constB16, constB17) <=> nextState(constB16, constB17)),
% 53.49/33.72 inference(rewrite,[status(thm)],[])).
% 53.49/33.72 tff(3847,axiom,(nextState(constB16, constB17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_16_1')).
% 53.49/33.72 tff(3848,plain,
% 53.49/33.72 (nextState(constB16, constB17)),
% 53.49/33.72 inference(modus_ponens,[status(thm)],[3847, 3846])).
% 53.49/33.72 tff(3849,plain,
% 53.49/33.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17)))),
% 53.49/33.72 inference(rewrite,[status(thm)],[])).
% 53.49/33.72 tff(3850,plain,
% 53.49/33.72 (((~nextState(constB16, constB17)) | (~v101(constB17)) | v1(constB17)) <=> (v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17)))),
% 53.49/33.72 inference(rewrite,[status(thm)],[])).
% 53.49/33.72 tff(3851,plain,
% 53.49/33.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB16, constB17)) | (~v101(constB17)) | v1(constB17))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17))))),
% 53.49/33.72 inference(monotonicity,[status(thm)],[3850])).
% 53.49/33.72 tff(3852,plain,
% 53.49/33.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB16, constB17)) | (~v101(constB17)) | v1(constB17))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17)))),
% 53.49/33.72 inference(transitivity,[status(thm)],[3851, 3849])).
% 53.49/33.72 tff(3853,plain,
% 53.49/33.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB16, constB17)) | (~v101(constB17)) | v1(constB17))),
% 53.49/33.72 inference(quant_inst,[status(thm)],[])).
% 53.49/33.72 tff(3854,plain,
% 53.49/33.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB17) | (~nextState(constB16, constB17)) | (~v101(constB17))),
% 53.49/33.72 inference(modus_ponens,[status(thm)],[3853, 3852])).
% 53.49/33.72 tff(3855,plain,
% 53.49/33.72 (~v101(constB17)),
% 53.49/33.72 inference(unit_resolution,[status(thm)],[3854, 873, 3848, 3845])).
% 53.49/33.72 tff(3856,plain,
% 53.49/33.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB16, constB17)) | v101(constB17) | (~v100(constB17)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB16, constB17)) | v101(constB17) | (~v100(constB17)))),
% 53.49/33.72 inference(rewrite,[status(thm)],[])).
% 53.49/33.72 tff(3857,plain,
% 53.49/33.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB16, constB17)) | v101(constB17) | (~v100(constB17)))),
% 53.49/33.72 inference(quant_inst,[status(thm)],[])).
% 53.49/33.72 tff(3858,plain,
% 53.49/33.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB16, constB17)) | v101(constB17) | (~v100(constB17))),
% 53.49/33.72 inference(modus_ponens,[status(thm)],[3857, 3856])).
% 53.49/33.72 tff(3859,plain,
% 53.49/33.72 (v101(constB17) | (~v100(constB17))),
% 53.49/33.72 inference(unit_resolution,[status(thm)],[3858, 890, 3848])).
% 53.49/33.72 tff(3860,plain,
% 53.49/33.72 (~v100(constB17)),
% 53.49/33.72 inference(unit_resolution,[status(thm)],[3859, 3855])).
% 53.49/33.72 tff(3861,plain,
% 53.49/33.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB16, 1)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB16, 1)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, 1))),
% 53.49/33.72 inference(rewrite,[status(thm)],[])).
% 53.49/33.72 tff(3862,plain,
% 53.49/33.72 (((~nextState(constB16, constB17)) | (~v90(constB16, 1)) | v100(constB17) | v90(constB17, 1)) <=> ((~v90(constB16, 1)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, 1))),
% 53.49/33.72 inference(rewrite,[status(thm)],[])).
% 53.49/33.72 tff(3863,plain,
% 53.49/33.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB16, constB17)) | (~v90(constB16, 1)) | v100(constB17) | v90(constB17, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB16, 1)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, 1)))),
% 53.49/33.72 inference(monotonicity,[status(thm)],[3862])).
% 53.49/33.72 tff(3864,plain,
% 53.49/33.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB16, constB17)) | (~v90(constB16, 1)) | v100(constB17) | v90(constB17, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB16, 1)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, 1))),
% 53.49/33.72 inference(transitivity,[status(thm)],[3863, 3861])).
% 53.49/33.72 tff(3865,plain,
% 53.49/33.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB16, constB17)) | (~v90(constB16, 1)) | v100(constB17) | v90(constB17, 1))),
% 53.49/33.72 inference(quant_inst,[status(thm)],[])).
% 53.49/33.72 tff(3866,plain,
% 53.49/33.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB16, 1)) | (~nextState(constB16, constB17)) | v100(constB17) | v90(constB17, 1)),
% 53.49/33.72 inference(modus_ponens,[status(thm)],[3865, 3864])).
% 53.49/33.72 tff(3867,plain,
% 53.49/33.72 ((~v90(constB16, 1)) | v100(constB17) | v90(constB17, 1)),
% 53.49/33.72 inference(unit_resolution,[status(thm)],[3866, 1641, 3848])).
% 53.49/33.72 tff(3868,plain,
% 53.49/33.72 ((~v90(constB16, 1)) | v90(constB17, 1)),
% 53.49/33.72 inference(unit_resolution,[status(thm)],[3867, 3860])).
% 53.49/33.72 tff(3869,plain,
% 53.49/33.72 (v90(constB17, 1)),
% 53.49/33.72 inference(unit_resolution,[status(thm)],[3868, 3842])).
% 53.49/33.72 tff(3870,plain,
% 53.49/33.72 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB15)) | (~v130(constB15, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB15)) | (~v130(constB15, 2)))),
% 53.49/33.72 inference(rewrite,[status(thm)],[])).
% 53.49/33.72 tff(3871,plain,
% 53.49/33.72 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB15)) | (~v130(constB15, 2)))),
% 53.49/33.72 inference(quant_inst,[status(thm)],[])).
% 53.49/33.72 tff(3872,plain,
% 53.49/33.72 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB15)) | (~v130(constB15, 2))),
% 53.49/33.72 inference(modus_ponens,[status(thm)],[3871, 3870])).
% 53.49/33.72 tff(3873,plain,
% 53.49/33.72 (~v130(constB15, 2)),
% 53.49/33.72 inference(unit_resolution,[status(thm)],[3872, 1523, 3448])).
% 53.49/33.72 tff(3874,plain,
% 53.49/33.72 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB15, 2)) | v26(constB15) | v130(constB15, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB15, 2)) | v26(constB15) | v130(constB15, 2))),
% 53.49/33.72 inference(rewrite,[status(thm)],[])).
% 53.49/33.72 tff(3875,plain,
% 53.49/33.72 ((v26(constB15) | v130(constB15, 2) | (~v127(constB15, 2))) <=> ((~v127(constB15, 2)) | v26(constB15) | v130(constB15, 2))),
% 53.49/33.72 inference(rewrite,[status(thm)],[])).
% 53.49/33.72 tff(3876,plain,
% 53.49/33.72 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB15) | v130(constB15, 2) | (~v127(constB15, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB15, 2)) | v26(constB15) | v130(constB15, 2)))),
% 53.49/33.72 inference(monotonicity,[status(thm)],[3875])).
% 53.49/33.72 tff(3877,plain,
% 53.49/33.72 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB15) | v130(constB15, 2) | (~v127(constB15, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB15, 2)) | v26(constB15) | v130(constB15, 2))),
% 53.49/33.72 inference(transitivity,[status(thm)],[3876, 3874])).
% 53.49/33.72 tff(3878,plain,
% 53.49/33.72 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB15) | v130(constB15, 2) | (~v127(constB15, 2)))),
% 53.49/33.72 inference(quant_inst,[status(thm)],[])).
% 53.49/33.72 tff(3879,plain,
% 53.49/33.72 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB15, 2)) | v26(constB15) | v130(constB15, 2)),
% 53.49/33.72 inference(modus_ponens,[status(thm)],[3878, 3877])).
% 53.49/33.72 tff(3880,plain,
% 53.49/33.72 ((~v127(constB15, 2)) | v26(constB15)),
% 53.49/33.72 inference(unit_resolution,[status(thm)],[3879, 1190, 3873])).
% 53.49/33.72 tff(3881,plain,
% 53.49/33.72 (~v127(constB15, 2)),
% 53.49/33.72 inference(unit_resolution,[status(thm)],[3880, 833])).
% 53.49/33.72 tff(3882,plain,
% 53.49/33.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB15, constB16)) | v127(constB15, 2) | (~v129(constB16, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB15, constB16)) | v127(constB15, 2) | (~v129(constB16, 2)))),
% 53.49/33.72 inference(rewrite,[status(thm)],[])).
% 53.49/33.72 tff(3883,plain,
% 53.49/33.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB15, constB16)) | v127(constB15, 2) | (~v129(constB16, 2)))),
% 53.49/33.72 inference(quant_inst,[status(thm)],[])).
% 53.49/33.72 tff(3884,plain,
% 53.49/33.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB15, constB16)) | v127(constB15, 2) | (~v129(constB16, 2))),
% 53.49/33.72 inference(modus_ponens,[status(thm)],[3883, 3882])).
% 53.49/33.72 tff(3885,plain,
% 53.49/33.72 (v127(constB15, 2) | (~v129(constB16, 2))),
% 53.49/33.72 inference(unit_resolution,[status(thm)],[3884, 1208, 3460])).
% 53.49/33.72 tff(3886,plain,
% 53.49/33.72 (~v129(constB16, 2)),
% 53.49/33.72 inference(unit_resolution,[status(thm)],[3885, 3881])).
% 53.49/33.72 tff(3887,plain,
% 53.49/33.72 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB16, 2)) | v129(constB16, 2) | (~v100(constB16)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB16, 2)) | v129(constB16, 2) | (~v100(constB16)))),
% 53.49/33.72 inference(rewrite,[status(thm)],[])).
% 53.49/33.72 tff(3888,plain,
% 53.49/33.72 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB16, 2)) | v129(constB16, 2) | (~v100(constB16)))),
% 53.49/33.72 inference(quant_inst,[status(thm)],[])).
% 53.49/33.72 tff(3889,plain,
% 53.49/33.72 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB16, 2)) | v129(constB16, 2) | (~v100(constB16))),
% 53.49/33.72 inference(modus_ponens,[status(thm)],[3888, 3887])).
% 53.49/33.72 tff(3890,plain,
% 53.49/33.72 ((~v90(constB16, 2)) | v129(constB16, 2)),
% 53.49/33.72 inference(unit_resolution,[status(thm)],[3889, 1223, 3834])).
% 53.49/33.72 tff(3891,plain,
% 53.49/33.72 (~v90(constB16, 2)),
% 53.49/33.72 inference(unit_resolution,[status(thm)],[3890, 3886])).
% 53.49/33.72 tff(3892,plain,
% 53.49/33.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB16, 2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB16, 2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, 2)))),
% 53.49/33.72 inference(rewrite,[status(thm)],[])).
% 53.49/33.72 tff(3893,plain,
% 53.49/33.72 (((~nextState(constB16, constB17)) | v90(constB16, 2) | v100(constB17) | (~v90(constB17, 2))) <=> (v90(constB16, 2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, 2)))),
% 53.49/33.72 inference(rewrite,[status(thm)],[])).
% 53.49/33.72 tff(3894,plain,
% 53.49/33.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB16, constB17)) | v90(constB16, 2) | v100(constB17) | (~v90(constB17, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB16, 2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, 2))))),
% 53.49/33.72 inference(monotonicity,[status(thm)],[3893])).
% 53.49/33.72 tff(3895,plain,
% 53.49/33.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB16, constB17)) | v90(constB16, 2) | v100(constB17) | (~v90(constB17, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB16, 2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, 2)))),
% 53.49/33.72 inference(transitivity,[status(thm)],[3894, 3892])).
% 53.49/33.72 tff(3896,plain,
% 53.49/33.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB16, constB17)) | v90(constB16, 2) | v100(constB17) | (~v90(constB17, 2)))),
% 53.49/33.72 inference(quant_inst,[status(thm)],[])).
% 53.49/33.72 tff(3897,plain,
% 53.49/33.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB16, 2) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, 2))),
% 53.49/33.72 inference(modus_ponens,[status(thm)],[3896, 3895])).
% 53.49/33.72 tff(3898,plain,
% 53.49/33.72 (v90(constB16, 2) | v100(constB17) | (~v90(constB17, 2))),
% 53.49/33.72 inference(unit_resolution,[status(thm)],[3897, 905, 3848])).
% 53.49/33.72 tff(3899,plain,
% 53.49/33.72 (v90(constB16, 2) | (~v90(constB17, 2))),
% 53.49/33.72 inference(unit_resolution,[status(thm)],[3898, 3860])).
% 53.49/33.72 tff(3900,plain,
% 53.49/33.72 (~v90(constB17, 2)),
% 53.49/33.72 inference(unit_resolution,[status(thm)],[3899, 3891])).
% 53.49/33.72 tff(3901,assumption,(v127(constB15, 0)), introduced(assumption)).
% 53.49/33.72 tff(3902,plain,
% 53.49/33.72 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB15)) | (~v130(constB15, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB15)) | (~v130(constB15, 0)))),
% 53.49/33.72 inference(rewrite,[status(thm)],[])).
% 53.49/33.72 tff(3903,plain,
% 53.49/33.72 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB15)) | (~v130(constB15, 0)))),
% 53.49/33.72 inference(quant_inst,[status(thm)],[])).
% 53.49/33.72 tff(3904,plain,
% 53.49/33.72 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB15)) | (~v130(constB15, 0))),
% 53.49/33.72 inference(modus_ponens,[status(thm)],[3903, 3902])).
% 53.49/33.72 tff(3905,plain,
% 53.49/33.72 (~v130(constB15, 0)),
% 53.49/33.72 inference(unit_resolution,[status(thm)],[3904, 1657, 3448])).
% 53.49/33.72 tff(3906,plain,
% 53.49/33.72 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB15, 0)) | v26(constB15) | v130(constB15, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB15, 0)) | v26(constB15) | v130(constB15, 0))),
% 53.49/33.72 inference(rewrite,[status(thm)],[])).
% 53.49/33.72 tff(3907,plain,
% 53.49/33.72 ((v26(constB15) | v130(constB15, 0) | (~v127(constB15, 0))) <=> ((~v127(constB15, 0)) | v26(constB15) | v130(constB15, 0))),
% 53.49/33.72 inference(rewrite,[status(thm)],[])).
% 53.49/33.72 tff(3908,plain,
% 53.49/33.72 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB15) | v130(constB15, 0) | (~v127(constB15, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB15, 0)) | v26(constB15) | v130(constB15, 0)))),
% 53.49/33.72 inference(monotonicity,[status(thm)],[3907])).
% 53.49/33.72 tff(3909,plain,
% 53.49/33.72 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB15) | v130(constB15, 0) | (~v127(constB15, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB15, 0)) | v26(constB15) | v130(constB15, 0))),
% 53.49/33.72 inference(transitivity,[status(thm)],[3908, 3906])).
% 53.49/33.72 tff(3910,plain,
% 53.49/33.72 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB15) | v130(constB15, 0) | (~v127(constB15, 0)))),
% 53.49/33.72 inference(quant_inst,[status(thm)],[])).
% 53.49/33.72 tff(3911,plain,
% 53.49/33.72 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB15, 0)) | v26(constB15) | v130(constB15, 0)),
% 53.49/33.72 inference(modus_ponens,[status(thm)],[3910, 3909])).
% 53.49/33.72 tff(3912,plain,
% 53.49/33.72 ((~v127(constB15, 0)) | v26(constB15)),
% 53.49/33.72 inference(unit_resolution,[status(thm)],[3911, 1671, 3905])).
% 53.49/33.72 tff(3913,plain,
% 53.49/33.72 (v26(constB15)),
% 53.49/33.72 inference(unit_resolution,[status(thm)],[3912, 3901])).
% 53.49/33.72 tff(3914,plain,
% 53.49/33.72 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | ((~v26(constB15)) | (~v127(constB15, 0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | (~v26(constB15)) | (~v127(constB15, 0)))),
% 53.49/33.72 inference(rewrite,[status(thm)],[])).
% 53.49/33.72 tff(3915,plain,
% 53.49/33.72 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | ((~v26(constB15)) | (~v127(constB15, 0)))),
% 53.49/33.72 inference(quant_inst,[status(thm)],[])).
% 53.49/33.72 tff(3916,plain,
% 53.49/33.72 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | (~v26(constB15)) | (~v127(constB15, 0))),
% 53.49/33.72 inference(modus_ponens,[status(thm)],[3915, 3914])).
% 53.49/33.72 tff(3917,plain,
% 53.49/33.72 ($false),
% 53.49/33.72 inference(unit_resolution,[status(thm)],[3916, 2241, 3901, 3913])).
% 53.49/33.72 tff(3918,plain,(~v127(constB15, 0)), inference(lemma,lemma(discharge,[]))).
% 53.49/33.72 tff(3919,plain,
% 53.49/33.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB15, constB16)) | v127(constB15, 0) | (~v129(constB16, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB15, constB16)) | v127(constB15, 0) | (~v129(constB16, 0)))),
% 53.49/33.72 inference(rewrite,[status(thm)],[])).
% 53.49/33.72 tff(3920,plain,
% 53.49/33.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB15, constB16)) | v127(constB15, 0) | (~v129(constB16, 0)))),
% 53.49/33.72 inference(quant_inst,[status(thm)],[])).
% 53.49/33.72 tff(3921,plain,
% 53.49/33.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB15, constB16)) | v127(constB15, 0) | (~v129(constB16, 0))),
% 53.49/33.72 inference(modus_ponens,[status(thm)],[3920, 3919])).
% 53.49/33.72 tff(3922,plain,
% 53.49/33.72 (v127(constB15, 0) | (~v129(constB16, 0))),
% 53.49/33.72 inference(unit_resolution,[status(thm)],[3921, 1689, 3460])).
% 53.49/33.72 tff(3923,plain,
% 53.49/33.72 (~v129(constB16, 0)),
% 53.49/33.72 inference(unit_resolution,[status(thm)],[3922, 3918])).
% 53.49/33.72 tff(3924,plain,
% 53.49/33.72 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB16, 0)) | v129(constB16, 0) | (~v100(constB16)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB16, 0)) | v129(constB16, 0) | (~v100(constB16)))),
% 53.49/33.72 inference(rewrite,[status(thm)],[])).
% 53.49/33.72 tff(3925,plain,
% 53.49/33.72 (((~v90(constB16, 0)) | (~v100(constB16)) | v129(constB16, 0)) <=> ((~v90(constB16, 0)) | v129(constB16, 0) | (~v100(constB16)))),
% 53.49/33.72 inference(rewrite,[status(thm)],[])).
% 53.49/33.72 tff(3926,plain,
% 53.49/33.72 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB16, 0)) | (~v100(constB16)) | v129(constB16, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB16, 0)) | v129(constB16, 0) | (~v100(constB16))))),
% 53.49/33.72 inference(monotonicity,[status(thm)],[3925])).
% 53.49/33.72 tff(3927,plain,
% 53.49/33.72 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB16, 0)) | (~v100(constB16)) | v129(constB16, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB16, 0)) | v129(constB16, 0) | (~v100(constB16)))),
% 53.49/33.72 inference(transitivity,[status(thm)],[3926, 3924])).
% 53.49/33.72 tff(3928,plain,
% 53.49/33.72 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB16, 0)) | (~v100(constB16)) | v129(constB16, 0))),
% 53.49/33.72 inference(quant_inst,[status(thm)],[])).
% 53.49/33.72 tff(3929,plain,
% 53.49/33.72 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB16, 0)) | v129(constB16, 0) | (~v100(constB16))),
% 53.49/33.72 inference(modus_ponens,[status(thm)],[3928, 3927])).
% 53.49/33.72 tff(3930,plain,
% 53.49/33.72 ((~v90(constB16, 0)) | v129(constB16, 0)),
% 53.49/33.72 inference(unit_resolution,[status(thm)],[3929, 1704, 3834])).
% 53.49/33.72 tff(3931,plain,
% 53.49/33.72 (~v90(constB16, 0)),
% 53.49/33.72 inference(unit_resolution,[status(thm)],[3930, 3923])).
% 53.49/33.72 tff(3932,plain,
% 53.49/33.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB16, 0) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB16, 0) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, 0)))),
% 53.49/33.72 inference(rewrite,[status(thm)],[])).
% 53.49/33.72 tff(3933,plain,
% 53.49/33.72 (((~nextState(constB16, constB17)) | v90(constB16, 0) | v100(constB17) | (~v90(constB17, 0))) <=> (v90(constB16, 0) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, 0)))),
% 53.49/33.72 inference(rewrite,[status(thm)],[])).
% 53.49/33.72 tff(3934,plain,
% 53.49/33.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB16, constB17)) | v90(constB16, 0) | v100(constB17) | (~v90(constB17, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB16, 0) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, 0))))),
% 53.49/33.72 inference(monotonicity,[status(thm)],[3933])).
% 53.49/33.72 tff(3935,plain,
% 53.49/33.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB16, constB17)) | v90(constB16, 0) | v100(constB17) | (~v90(constB17, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB16, 0) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, 0)))),
% 53.49/33.72 inference(transitivity,[status(thm)],[3934, 3932])).
% 53.49/33.72 tff(3936,plain,
% 53.49/33.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB16, constB17)) | v90(constB16, 0) | v100(constB17) | (~v90(constB17, 0)))),
% 53.49/33.72 inference(quant_inst,[status(thm)],[])).
% 53.49/33.72 tff(3937,plain,
% 53.49/33.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB16, 0) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, 0))),
% 53.49/33.72 inference(modus_ponens,[status(thm)],[3936, 3935])).
% 53.49/33.72 tff(3938,plain,
% 53.49/33.72 (v90(constB16, 0) | v100(constB17) | (~v90(constB17, 0))),
% 53.49/33.72 inference(unit_resolution,[status(thm)],[3937, 947, 3848])).
% 53.49/33.72 tff(3939,plain,
% 53.49/33.72 (v90(constB16, 0) | (~v90(constB17, 0))),
% 53.49/33.72 inference(unit_resolution,[status(thm)],[3938, 3860])).
% 53.49/33.72 tff(3940,plain,
% 53.49/33.72 (~v90(constB17, 0)),
% 53.49/33.72 inference(unit_resolution,[status(thm)],[3939, 3931])).
% 53.49/33.72 tff(3941,plain,
% 53.49/33.72 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB17, 0) | (~v90(constB17, 1)) | v90(constB17, 2) | v121(constB17))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB17, 0) | (~v90(constB17, 1)) | v90(constB17, 2) | v121(constB17))),
% 53.49/33.72 inference(rewrite,[status(thm)],[])).
% 53.49/33.72 tff(3942,plain,
% 53.49/33.72 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB17, 0) | (~v90(constB17, 1)) | v90(constB17, 2) | v121(constB17))),
% 53.49/33.72 inference(quant_inst,[status(thm)],[])).
% 53.49/33.72 tff(3943,plain,
% 53.49/33.72 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB17, 0) | (~v90(constB17, 1)) | v90(constB17, 2) | v121(constB17)),
% 53.49/33.72 inference(modus_ponens,[status(thm)],[3942, 3941])).
% 53.49/33.72 tff(3944,plain,
% 53.49/33.72 ((~v90(constB17, 1)) | v90(constB17, 2) | v121(constB17)),
% 53.49/33.72 inference(unit_resolution,[status(thm)],[3943, 1731, 3940])).
% 53.49/33.72 tff(3945,plain,
% 53.49/33.72 ($false),
% 53.49/33.72 inference(unit_resolution,[status(thm)],[3944, 3900, 3869, 832])).
% 53.49/33.72 tff(3946,plain,(v26(constB15) | v121(constB17)), inference(lemma,lemma(discharge,[]))).
% 53.49/33.72 tff(3947,plain,
% 53.49/33.72 (v121(constB17)),
% 53.49/33.72 inference(unit_resolution,[status(thm)],[3946, 831])).
% 53.49/33.72 tff(3948,plain,
% 53.49/33.72 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB17)) | v117(constB17))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB17)) | v117(constB17))),
% 53.49/33.72 inference(rewrite,[status(thm)],[])).
% 53.49/33.72 tff(3949,plain,
% 53.49/33.72 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB17)) | v117(constB17))),
% 53.49/33.72 inference(quant_inst,[status(thm)],[])).
% 53.49/33.72 tff(3950,plain,
% 53.49/33.72 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB17)) | v117(constB17)),
% 53.49/33.72 inference(modus_ponens,[status(thm)],[3949, 3948])).
% 53.49/33.72 tff(3951,plain,
% 53.49/33.72 (v117(constB17)),
% 53.49/33.72 inference(unit_resolution,[status(thm)],[3950, 1742, 3947])).
% 53.49/33.72 tff(3952,plain,
% 53.49/33.72 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB17) | (~v117(constB17)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB17) | (~v117(constB17)))),
% 53.49/33.72 inference(rewrite,[status(thm)],[])).
% 53.49/33.72 tff(3953,plain,
% 53.49/33.72 (((~v117(constB17)) | v116(constB17)) <=> (v116(constB17) | (~v117(constB17)))),
% 53.49/33.72 inference(rewrite,[status(thm)],[])).
% 53.49/33.72 tff(3954,plain,
% 53.49/33.72 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB17)) | v116(constB17))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB17) | (~v117(constB17))))),
% 53.49/33.72 inference(monotonicity,[status(thm)],[3953])).
% 53.49/33.72 tff(3955,plain,
% 53.49/33.72 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB17)) | v116(constB17))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB17) | (~v117(constB17)))),
% 53.49/33.72 inference(transitivity,[status(thm)],[3954, 3952])).
% 53.49/33.72 tff(3956,plain,
% 53.49/33.72 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB17)) | v116(constB17))),
% 53.49/33.72 inference(quant_inst,[status(thm)],[])).
% 53.49/33.72 tff(3957,plain,
% 53.49/33.72 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB17) | (~v117(constB17))),
% 53.49/33.72 inference(modus_ponens,[status(thm)],[3956, 3955])).
% 53.49/33.72 tff(3958,plain,
% 53.49/33.72 (v116(constB17)),
% 53.49/33.72 inference(unit_resolution,[status(thm)],[3957, 1007, 3951])).
% 53.49/33.72 tff(3959,plain,
% 53.49/33.72 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB17) | (~v116(constB17)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB17) | (~v116(constB17)))),
% 53.49/33.72 inference(rewrite,[status(thm)],[])).
% 53.49/33.72 tff(3960,plain,
% 53.49/33.72 (((~v116(constB17)) | v115(constB17)) <=> (v115(constB17) | (~v116(constB17)))),
% 53.49/33.72 inference(rewrite,[status(thm)],[])).
% 53.49/33.72 tff(3961,plain,
% 53.49/33.72 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB17)) | v115(constB17))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB17) | (~v116(constB17))))),
% 53.49/33.72 inference(monotonicity,[status(thm)],[3960])).
% 53.49/33.72 tff(3962,plain,
% 53.49/33.72 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB17)) | v115(constB17))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB17) | (~v116(constB17)))),
% 53.49/33.72 inference(transitivity,[status(thm)],[3961, 3959])).
% 53.49/33.72 tff(3963,plain,
% 53.49/33.72 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB17)) | v115(constB17))),
% 53.49/33.72 inference(quant_inst,[status(thm)],[])).
% 53.49/33.72 tff(3964,plain,
% 53.49/33.72 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB17) | (~v116(constB17))),
% 53.49/33.72 inference(modus_ponens,[status(thm)],[3963, 3962])).
% 53.49/33.72 tff(3965,plain,
% 53.49/33.72 (v115(constB17)),
% 53.49/33.72 inference(unit_resolution,[status(thm)],[3964, 1021, 3958])).
% 53.49/33.72 tff(3966,plain,
% 53.49/33.72 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB17)) | v114(constB17))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB17)) | v114(constB17))),
% 53.49/33.72 inference(rewrite,[status(thm)],[])).
% 53.49/33.72 tff(3967,plain,
% 53.49/33.72 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB17)) | v114(constB17))),
% 53.49/33.72 inference(quant_inst,[status(thm)],[])).
% 53.49/33.72 tff(3968,plain,
% 53.49/33.72 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB17)) | v114(constB17)),
% 53.49/33.72 inference(modus_ponens,[status(thm)],[3967, 3966])).
% 53.49/33.72 tff(3969,plain,
% 53.49/33.72 (v114(constB17)),
% 53.49/33.72 inference(unit_resolution,[status(thm)],[3968, 1035, 3965])).
% 53.49/33.72 tff(3970,plain,
% 53.49/33.72 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB17)) | v113(constB17))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB17)) | v113(constB17))),
% 53.49/33.72 inference(rewrite,[status(thm)],[])).
% 53.49/33.72 tff(3971,plain,
% 53.49/33.72 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB17)) | v113(constB17))),
% 53.49/33.72 inference(quant_inst,[status(thm)],[])).
% 53.49/33.72 tff(3972,plain,
% 53.49/33.72 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB17)) | v113(constB17)),
% 53.49/33.72 inference(modus_ponens,[status(thm)],[3971, 3970])).
% 53.49/33.72 tff(3973,plain,
% 53.49/33.72 (v113(constB17)),
% 53.49/33.72 inference(unit_resolution,[status(thm)],[3972, 1049, 3969])).
% 53.49/33.72 tff(3974,assumption,(v26(constB17)), introduced(assumption)).
% 53.49/33.72 tff(3975,plain,
% 53.49/33.72 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB17))),
% 53.49/33.72 inference(quant_inst,[status(thm)],[])).
% 53.49/33.72 tff(3976,plain,
% 53.49/33.72 ($false),
% 53.49/33.72 inference(unit_resolution,[status(thm)],[3975, 828, 3974])).
% 53.49/33.72 tff(3977,plain,(~v26(constB17)), inference(lemma,lemma(discharge,[]))).
% 53.49/33.72 tff(3978,plain,
% 53.49/33.72 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB17) | (~v113(constB17)) | v112(constB17))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB17) | (~v113(constB17)) | v112(constB17))),
% 53.49/33.72 inference(rewrite,[status(thm)],[])).
% 53.49/33.72 tff(3979,plain,
% 53.49/33.72 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB17) | (~v113(constB17)) | v112(constB17))),
% 53.49/33.72 inference(quant_inst,[status(thm)],[])).
% 53.49/33.72 tff(3980,plain,
% 53.49/33.72 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB17) | (~v113(constB17)) | v112(constB17)),
% 53.49/33.72 inference(modus_ponens,[status(thm)],[3979, 3978])).
% 53.49/33.72 tff(3981,plain,
% 53.49/33.72 ((~v113(constB17)) | v112(constB17)),
% 53.49/33.72 inference(unit_resolution,[status(thm)],[3980, 1063, 3977])).
% 53.49/33.72 tff(3982,plain,
% 53.49/33.72 (v112(constB17)),
% 53.49/33.72 inference(unit_resolution,[status(thm)],[3981, 3973])).
% 53.49/33.72 tff(3983,plain,
% 53.49/33.72 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB17) | (~v112(constB17)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB17) | (~v112(constB17)))),
% 53.49/33.72 inference(rewrite,[status(thm)],[])).
% 53.49/33.72 tff(3984,plain,
% 53.49/33.72 (((~v112(constB17)) | v108(constB17)) <=> (v108(constB17) | (~v112(constB17)))),
% 53.49/33.72 inference(rewrite,[status(thm)],[])).
% 53.49/33.72 tff(3985,plain,
% 53.49/33.72 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB17)) | v108(constB17))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB17) | (~v112(constB17))))),
% 53.49/33.72 inference(monotonicity,[status(thm)],[3984])).
% 53.49/33.72 tff(3986,plain,
% 53.49/33.72 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB17)) | v108(constB17))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB17) | (~v112(constB17)))),
% 53.49/33.72 inference(transitivity,[status(thm)],[3985, 3983])).
% 53.49/33.72 tff(3987,plain,
% 53.49/33.72 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB17)) | v108(constB17))),
% 53.49/33.72 inference(quant_inst,[status(thm)],[])).
% 53.49/33.72 tff(3988,plain,
% 53.49/33.72 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB17) | (~v112(constB17))),
% 53.49/33.72 inference(modus_ponens,[status(thm)],[3987, 3986])).
% 53.49/33.72 tff(3989,plain,
% 53.49/33.72 (v108(constB17)),
% 53.49/33.72 inference(unit_resolution,[status(thm)],[3988, 1075, 3982])).
% 53.49/33.72 tff(3990,plain,
% 53.49/33.72 (nextState(constB17, constB18) <=> nextState(constB17, constB18)),
% 53.49/33.72 inference(rewrite,[status(thm)],[])).
% 53.49/33.72 tff(3991,axiom,(nextState(constB17, constB18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_17_1')).
% 53.49/33.72 tff(3992,plain,
% 53.49/33.72 (nextState(constB17, constB18)),
% 53.49/33.72 inference(modus_ponens,[status(thm)],[3991, 3990])).
% 53.49/33.72 tff(3993,plain,
% 53.49/33.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17)))),
% 53.49/33.72 inference(rewrite,[status(thm)],[])).
% 53.49/33.72 tff(3994,plain,
% 53.49/33.72 (((~nextState(constB17, constB18)) | (~v108(constB17)) | v110(constB18)) <=> ((~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17)))),
% 53.49/33.72 inference(rewrite,[status(thm)],[])).
% 53.49/33.72 tff(3995,plain,
% 53.49/33.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB17, constB18)) | (~v108(constB17)) | v110(constB18))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17))))),
% 53.49/33.72 inference(monotonicity,[status(thm)],[3994])).
% 53.49/33.72 tff(3996,plain,
% 53.49/33.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB17, constB18)) | (~v108(constB17)) | v110(constB18))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17)))),
% 53.49/33.72 inference(transitivity,[status(thm)],[3995, 3993])).
% 53.49/33.72 tff(3997,plain,
% 53.49/33.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB17, constB18)) | (~v108(constB17)) | v110(constB18))),
% 53.49/33.72 inference(quant_inst,[status(thm)],[])).
% 53.49/33.72 tff(3998,plain,
% 53.49/33.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB17, constB18)) | v110(constB18) | (~v108(constB17))),
% 53.49/33.72 inference(modus_ponens,[status(thm)],[3997, 3996])).
% 53.49/33.72 tff(3999,plain,
% 53.49/33.72 (v110(constB18) | (~v108(constB17))),
% 53.49/33.72 inference(unit_resolution,[status(thm)],[3998, 1095, 3992])).
% 53.49/33.72 tff(4000,plain,
% 53.49/33.72 (v110(constB18)),
% 53.49/33.72 inference(unit_resolution,[status(thm)],[3999, 3989])).
% 53.49/33.72 tff(4001,plain,
% 53.49/33.72 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB17) | (~nextState(constB17, constB18)) | (~v104(constB18)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB17) | (~nextState(constB17, constB18)) | (~v104(constB18)))),
% 53.49/33.72 inference(rewrite,[status(thm)],[])).
% 53.49/33.72 tff(4002,plain,
% 53.49/33.72 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB17) | (~nextState(constB17, constB18)) | (~v104(constB18)))),
% 53.49/33.72 inference(quant_inst,[status(thm)],[])).
% 53.49/33.72 tff(4003,plain,
% 53.49/33.72 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB17) | (~nextState(constB17, constB18)) | (~v104(constB18))),
% 53.49/33.72 inference(modus_ponens,[status(thm)],[4002, 4001])).
% 53.49/33.72 tff(4004,plain,
% 53.49/33.72 (~v104(constB18)),
% 53.49/33.72 inference(unit_resolution,[status(thm)],[4003, 1113, 3992, 3845])).
% 53.49/33.72 tff(4005,plain,
% 53.49/33.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB17, constB18)) | v102(constB18) | v104(constB18))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB17, constB18)) | v102(constB18) | v104(constB18))),
% 53.49/33.72 inference(rewrite,[status(thm)],[])).
% 53.49/33.72 tff(4006,plain,
% 53.49/33.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB17, constB18)) | v102(constB18) | v104(constB18))),
% 53.49/33.72 inference(quant_inst,[status(thm)],[])).
% 53.49/33.72 tff(4007,plain,
% 53.49/33.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB17, constB18)) | v102(constB18) | v104(constB18)),
% 53.49/33.72 inference(modus_ponens,[status(thm)],[4006, 4005])).
% 53.49/33.72 tff(4008,plain,
% 53.49/33.72 (v102(constB18) | v104(constB18)),
% 53.49/33.72 inference(unit_resolution,[status(thm)],[4007, 1127, 3992])).
% 53.49/33.72 tff(4009,plain,
% 53.49/33.72 (v102(constB18)),
% 53.49/33.72 inference(unit_resolution,[status(thm)],[4008, 4004])).
% 53.49/33.72 tff(4010,plain,
% 53.49/33.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB17, constB18)) | v101(constB18) | (~v102(constB18)) | (~v1(constB18)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB17, constB18)) | v101(constB18) | (~v102(constB18)) | (~v1(constB18)))),
% 53.49/33.72 inference(rewrite,[status(thm)],[])).
% 53.49/33.72 tff(4011,plain,
% 53.49/33.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB17, constB18)) | v101(constB18) | (~v102(constB18)) | (~v1(constB18)))),
% 53.49/33.72 inference(quant_inst,[status(thm)],[])).
% 53.49/33.72 tff(4012,plain,
% 53.49/33.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB17, constB18)) | v101(constB18) | (~v102(constB18)) | (~v1(constB18))),
% 53.49/33.72 inference(modus_ponens,[status(thm)],[4011, 4010])).
% 53.49/33.72 tff(4013,plain,
% 53.49/33.72 (v101(constB18) | (~v102(constB18))),
% 53.49/33.72 inference(unit_resolution,[status(thm)],[4012, 1145, 3992, 486])).
% 53.49/33.72 tff(4014,plain,
% 53.49/33.72 (v101(constB18)),
% 53.49/33.72 inference(unit_resolution,[status(thm)],[4013, 4009])).
% 53.49/33.72 tff(4015,plain,
% 53.49/33.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18)))),
% 53.49/33.72 inference(rewrite,[status(thm)],[])).
% 53.49/33.72 tff(4016,plain,
% 53.49/33.72 (((~nextState(constB17, constB18)) | (~v101(constB18)) | (~v110(constB18)) | v100(constB18)) <=> ((~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18)))),
% 53.49/33.72 inference(rewrite,[status(thm)],[])).
% 53.49/33.72 tff(4017,plain,
% 53.49/33.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB17, constB18)) | (~v101(constB18)) | (~v110(constB18)) | v100(constB18))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18))))),
% 53.49/33.72 inference(monotonicity,[status(thm)],[4016])).
% 53.49/33.72 tff(4018,plain,
% 53.49/33.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB17, constB18)) | (~v101(constB18)) | (~v110(constB18)) | v100(constB18))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18)))),
% 53.49/33.72 inference(transitivity,[status(thm)],[4017, 4015])).
% 53.49/33.72 tff(4019,plain,
% 53.49/33.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB17, constB18)) | (~v101(constB18)) | (~v110(constB18)) | v100(constB18))),
% 53.49/33.72 inference(quant_inst,[status(thm)],[])).
% 53.49/33.72 tff(4020,plain,
% 53.49/33.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB17, constB18)) | v100(constB18) | (~v101(constB18)) | (~v110(constB18))),
% 53.49/33.72 inference(modus_ponens,[status(thm)],[4019, 4018])).
% 53.49/33.72 tff(4021,plain,
% 53.49/33.72 (v100(constB18) | (~v101(constB18)) | (~v110(constB18))),
% 53.49/33.72 inference(unit_resolution,[status(thm)],[4020, 1160, 3992])).
% 53.49/33.72 tff(4022,plain,
% 53.49/33.72 (v100(constB18) | (~v110(constB18))),
% 53.49/33.72 inference(unit_resolution,[status(thm)],[4021, 4014])).
% 53.49/33.72 tff(4023,plain,
% 53.49/33.72 (v100(constB18)),
% 53.49/33.72 inference(unit_resolution,[status(thm)],[4022, 4000])).
% 53.49/33.72 tff(4024,plain,
% 53.49/33.72 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB17)) | (~v130(constB17, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB17)) | (~v130(constB17, 2)))),
% 53.49/33.72 inference(rewrite,[status(thm)],[])).
% 53.49/33.72 tff(4025,plain,
% 53.49/33.72 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB17)) | (~v130(constB17, 2)))),
% 53.49/33.72 inference(quant_inst,[status(thm)],[])).
% 53.49/33.72 tff(4026,plain,
% 53.49/33.72 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB17)) | (~v130(constB17, 2))),
% 53.49/33.72 inference(modus_ponens,[status(thm)],[4025, 4024])).
% 53.49/33.72 tff(4027,plain,
% 53.49/33.72 (~v130(constB17, 2)),
% 53.49/33.72 inference(unit_resolution,[status(thm)],[4026, 1821, 3947])).
% 53.49/33.72 tff(4028,plain,
% 53.49/33.72 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB17, 2)) | v26(constB17) | v130(constB17, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB17, 2)) | v26(constB17) | v130(constB17, 2))),
% 53.49/33.72 inference(rewrite,[status(thm)],[])).
% 53.49/33.72 tff(4029,plain,
% 53.49/33.72 ((v26(constB17) | v130(constB17, 2) | (~v127(constB17, 2))) <=> ((~v127(constB17, 2)) | v26(constB17) | v130(constB17, 2))),
% 53.49/33.72 inference(rewrite,[status(thm)],[])).
% 53.49/33.72 tff(4030,plain,
% 53.49/33.72 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB17) | v130(constB17, 2) | (~v127(constB17, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB17, 2)) | v26(constB17) | v130(constB17, 2)))),
% 53.49/33.72 inference(monotonicity,[status(thm)],[4029])).
% 53.49/33.72 tff(4031,plain,
% 53.49/33.72 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB17) | v130(constB17, 2) | (~v127(constB17, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB17, 2)) | v26(constB17) | v130(constB17, 2))),
% 53.49/33.72 inference(transitivity,[status(thm)],[4030, 4028])).
% 53.49/33.72 tff(4032,plain,
% 53.49/33.72 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB17) | v130(constB17, 2) | (~v127(constB17, 2)))),
% 53.49/33.72 inference(quant_inst,[status(thm)],[])).
% 53.49/33.72 tff(4033,plain,
% 53.49/33.72 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB17, 2)) | v26(constB17) | v130(constB17, 2)),
% 53.49/33.72 inference(modus_ponens,[status(thm)],[4032, 4031])).
% 53.49/33.72 tff(4034,plain,
% 53.49/33.72 ((~v127(constB17, 2)) | v130(constB17, 2)),
% 53.49/33.72 inference(unit_resolution,[status(thm)],[4033, 1190, 3977])).
% 53.49/33.72 tff(4035,plain,
% 53.49/33.72 (~v127(constB17, 2)),
% 53.49/33.72 inference(unit_resolution,[status(thm)],[4034, 4027])).
% 53.49/33.72 tff(4036,plain,
% 53.49/33.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB17, constB18)) | v127(constB17, 2) | (~v129(constB18, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB17, constB18)) | v127(constB17, 2) | (~v129(constB18, 2)))),
% 53.49/33.72 inference(rewrite,[status(thm)],[])).
% 53.49/33.72 tff(4037,plain,
% 53.49/33.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB17, constB18)) | v127(constB17, 2) | (~v129(constB18, 2)))),
% 53.49/33.73 inference(quant_inst,[status(thm)],[])).
% 53.49/33.73 tff(4038,plain,
% 53.49/33.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB17, constB18)) | v127(constB17, 2) | (~v129(constB18, 2))),
% 53.49/33.73 inference(modus_ponens,[status(thm)],[4037, 4036])).
% 53.49/33.73 tff(4039,plain,
% 53.49/33.73 (v127(constB17, 2) | (~v129(constB18, 2))),
% 53.49/33.73 inference(unit_resolution,[status(thm)],[4038, 1208, 3992])).
% 53.49/33.73 tff(4040,plain,
% 53.49/33.73 (~v129(constB18, 2)),
% 53.49/33.73 inference(unit_resolution,[status(thm)],[4039, 4035])).
% 53.49/33.73 tff(4041,plain,
% 53.49/33.73 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB18, 2)) | v129(constB18, 2) | (~v100(constB18)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB18, 2)) | v129(constB18, 2) | (~v100(constB18)))),
% 53.49/33.73 inference(rewrite,[status(thm)],[])).
% 53.49/33.73 tff(4042,plain,
% 53.49/33.73 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB18, 2)) | v129(constB18, 2) | (~v100(constB18)))),
% 53.49/33.73 inference(quant_inst,[status(thm)],[])).
% 53.49/33.73 tff(4043,plain,
% 53.49/33.73 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB18, 2)) | v129(constB18, 2) | (~v100(constB18))),
% 53.49/33.73 inference(modus_ponens,[status(thm)],[4042, 4041])).
% 53.49/33.73 tff(4044,plain,
% 53.49/33.73 ((~v90(constB18, 2)) | (~v100(constB18))),
% 53.49/33.73 inference(unit_resolution,[status(thm)],[4043, 1223, 4040])).
% 53.49/33.73 tff(4045,plain,
% 53.49/33.73 (~v90(constB18, 2)),
% 53.49/33.73 inference(unit_resolution,[status(thm)],[4044, 4023])).
% 53.49/33.73 tff(4046,plain,
% 53.49/33.73 ((~v1(constB19)) <=> (~v1(constB19))),
% 53.49/33.73 inference(rewrite,[status(thm)],[])).
% 53.49/33.73 tff(4047,axiom,(~v1(constB19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_19_1_1')).
% 53.49/33.73 tff(4048,plain,
% 53.49/33.73 (~v1(constB19)),
% 53.49/33.73 inference(modus_ponens,[status(thm)],[4047, 4046])).
% 53.49/33.73 tff(4049,plain,
% 53.49/33.73 (nextState(constB18, constB19) <=> nextState(constB18, constB19)),
% 53.49/33.73 inference(rewrite,[status(thm)],[])).
% 53.49/33.73 tff(4050,axiom,(nextState(constB18, constB19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_18_1')).
% 53.49/33.73 tff(4051,plain,
% 53.49/33.73 (nextState(constB18, constB19)),
% 53.49/33.73 inference(modus_ponens,[status(thm)],[4050, 4049])).
% 53.49/33.73 tff(4052,plain,
% 53.49/33.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19)))),
% 53.49/33.73 inference(rewrite,[status(thm)],[])).
% 53.49/33.73 tff(4053,plain,
% 53.49/33.73 (((~nextState(constB18, constB19)) | (~v101(constB19)) | v1(constB19)) <=> (v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19)))),
% 53.49/33.73 inference(rewrite,[status(thm)],[])).
% 53.49/33.73 tff(4054,plain,
% 53.49/33.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB18, constB19)) | (~v101(constB19)) | v1(constB19))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19))))),
% 53.49/33.73 inference(monotonicity,[status(thm)],[4053])).
% 53.49/33.73 tff(4055,plain,
% 53.49/33.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB18, constB19)) | (~v101(constB19)) | v1(constB19))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19)))),
% 53.49/33.73 inference(transitivity,[status(thm)],[4054, 4052])).
% 53.49/33.73 tff(4056,plain,
% 53.49/33.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB18, constB19)) | (~v101(constB19)) | v1(constB19))),
% 53.49/33.73 inference(quant_inst,[status(thm)],[])).
% 53.49/33.73 tff(4057,plain,
% 53.49/33.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB19) | (~nextState(constB18, constB19)) | (~v101(constB19))),
% 53.49/33.73 inference(modus_ponens,[status(thm)],[4056, 4055])).
% 53.49/33.73 tff(4058,plain,
% 53.49/33.73 (~v101(constB19)),
% 53.49/33.73 inference(unit_resolution,[status(thm)],[4057, 873, 4051, 4048])).
% 53.49/33.73 tff(4059,plain,
% 53.49/33.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB18, constB19)) | v101(constB19) | (~v100(constB19)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB18, constB19)) | v101(constB19) | (~v100(constB19)))),
% 53.49/33.73 inference(rewrite,[status(thm)],[])).
% 53.49/33.73 tff(4060,plain,
% 53.49/33.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB18, constB19)) | v101(constB19) | (~v100(constB19)))),
% 53.49/33.73 inference(quant_inst,[status(thm)],[])).
% 53.49/33.73 tff(4061,plain,
% 53.49/33.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB18, constB19)) | v101(constB19) | (~v100(constB19))),
% 53.49/33.73 inference(modus_ponens,[status(thm)],[4060, 4059])).
% 53.49/33.73 tff(4062,plain,
% 53.49/33.73 (v101(constB19) | (~v100(constB19))),
% 53.49/33.73 inference(unit_resolution,[status(thm)],[4061, 890, 4051])).
% 53.49/33.73 tff(4063,plain,
% 53.49/33.73 (~v100(constB19)),
% 53.49/33.73 inference(unit_resolution,[status(thm)],[4062, 4058])).
% 53.49/33.73 tff(4064,plain,
% 53.49/33.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB18, 2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB18, 2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, 2)))),
% 53.49/33.73 inference(rewrite,[status(thm)],[])).
% 53.49/33.73 tff(4065,plain,
% 53.49/33.73 (((~nextState(constB18, constB19)) | v90(constB18, 2) | v100(constB19) | (~v90(constB19, 2))) <=> (v90(constB18, 2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, 2)))),
% 53.49/33.73 inference(rewrite,[status(thm)],[])).
% 53.49/33.73 tff(4066,plain,
% 53.49/33.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB18, constB19)) | v90(constB18, 2) | v100(constB19) | (~v90(constB19, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB18, 2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, 2))))),
% 53.49/33.73 inference(monotonicity,[status(thm)],[4065])).
% 53.49/33.73 tff(4067,plain,
% 53.49/33.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB18, constB19)) | v90(constB18, 2) | v100(constB19) | (~v90(constB19, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB18, 2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, 2)))),
% 53.49/33.73 inference(transitivity,[status(thm)],[4066, 4064])).
% 53.49/33.73 tff(4068,plain,
% 53.49/33.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB18, constB19)) | v90(constB18, 2) | v100(constB19) | (~v90(constB19, 2)))),
% 53.49/33.73 inference(quant_inst,[status(thm)],[])).
% 53.49/33.73 tff(4069,plain,
% 53.49/33.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB18, 2) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, 2))),
% 53.49/33.73 inference(modus_ponens,[status(thm)],[4068, 4067])).
% 53.49/33.73 tff(4070,plain,
% 53.49/33.73 (v90(constB18, 2) | v100(constB19) | (~v90(constB19, 2))),
% 53.49/33.73 inference(unit_resolution,[status(thm)],[4069, 905, 4051])).
% 53.49/33.73 tff(4071,plain,
% 53.49/33.73 (v90(constB18, 2) | (~v90(constB19, 2))),
% 53.49/33.73 inference(unit_resolution,[status(thm)],[4070, 4063])).
% 53.49/33.73 tff(4072,plain,
% 53.49/33.73 (~v90(constB19, 2)),
% 53.49/33.73 inference(unit_resolution,[status(thm)],[4071, 4045])).
% 53.49/33.73 tff(4073,plain,
% 53.49/33.73 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB17)) | v130(constB17, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB17)) | v130(constB17, 1))),
% 53.49/33.73 inference(rewrite,[status(thm)],[])).
% 53.49/33.73 tff(4074,plain,
% 53.49/33.73 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB17)) | v130(constB17, 1))),
% 53.49/33.73 inference(quant_inst,[status(thm)],[])).
% 53.49/33.73 tff(4075,plain,
% 53.49/33.73 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB17)) | v130(constB17, 1)),
% 53.49/33.73 inference(modus_ponens,[status(thm)],[4074, 4073])).
% 53.49/33.73 tff(4076,plain,
% 53.49/33.73 (v130(constB17, 1)),
% 53.49/33.73 inference(unit_resolution,[status(thm)],[4075, 1877, 3947])).
% 53.49/33.73 tff(4077,plain,
% 53.49/33.73 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB17) | (~v130(constB17, 1)) | v127(constB17, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB17) | (~v130(constB17, 1)) | v127(constB17, 1))),
% 53.49/33.73 inference(rewrite,[status(thm)],[])).
% 53.49/33.73 tff(4078,plain,
% 53.49/33.73 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB17) | (~v130(constB17, 1)) | v127(constB17, 1))),
% 53.49/33.73 inference(quant_inst,[status(thm)],[])).
% 53.49/33.73 tff(4079,plain,
% 53.49/33.73 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB17) | (~v130(constB17, 1)) | v127(constB17, 1)),
% 53.49/33.73 inference(modus_ponens,[status(thm)],[4078, 4077])).
% 53.49/33.73 tff(4080,plain,
% 53.49/33.73 ((~v130(constB17, 1)) | v127(constB17, 1)),
% 53.49/33.73 inference(unit_resolution,[status(thm)],[4079, 1593, 3977])).
% 53.49/33.73 tff(4081,plain,
% 53.49/33.73 (v127(constB17, 1)),
% 53.49/33.73 inference(unit_resolution,[status(thm)],[4080, 4076])).
% 53.49/33.73 tff(4082,plain,
% 53.49/33.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB17, constB18)) | (~v127(constB17, 1)) | v129(constB18, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB17, constB18)) | (~v127(constB17, 1)) | v129(constB18, 1))),
% 53.49/33.73 inference(rewrite,[status(thm)],[])).
% 53.49/33.73 tff(4083,plain,
% 53.49/33.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB17, constB18)) | (~v127(constB17, 1)) | v129(constB18, 1))),
% 53.49/33.73 inference(quant_inst,[status(thm)],[])).
% 53.49/33.73 tff(4084,plain,
% 53.49/33.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB17, constB18)) | (~v127(constB17, 1)) | v129(constB18, 1)),
% 53.49/33.73 inference(modus_ponens,[status(thm)],[4083, 4082])).
% 53.49/33.73 tff(4085,plain,
% 53.49/33.73 ((~v127(constB17, 1)) | v129(constB18, 1)),
% 53.49/33.73 inference(unit_resolution,[status(thm)],[4084, 1608, 3992])).
% 53.49/33.73 tff(4086,plain,
% 53.49/33.73 (v129(constB18, 1)),
% 53.49/33.73 inference(unit_resolution,[status(thm)],[4085, 4081])).
% 53.49/33.73 tff(4087,plain,
% 53.49/33.73 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB18, 1) | (~v129(constB18, 1)) | (~v100(constB18)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB18, 1) | (~v129(constB18, 1)) | (~v100(constB18)))),
% 53.49/33.73 inference(rewrite,[status(thm)],[])).
% 53.49/33.73 tff(4088,plain,
% 53.49/33.73 ((v90(constB18, 1) | (~v100(constB18)) | (~v129(constB18, 1))) <=> (v90(constB18, 1) | (~v129(constB18, 1)) | (~v100(constB18)))),
% 53.49/33.73 inference(rewrite,[status(thm)],[])).
% 53.49/33.73 tff(4089,plain,
% 53.49/33.73 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB18, 1) | (~v100(constB18)) | (~v129(constB18, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB18, 1) | (~v129(constB18, 1)) | (~v100(constB18))))),
% 53.49/33.73 inference(monotonicity,[status(thm)],[4088])).
% 53.49/33.73 tff(4090,plain,
% 53.49/33.73 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB18, 1) | (~v100(constB18)) | (~v129(constB18, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB18, 1) | (~v129(constB18, 1)) | (~v100(constB18)))),
% 53.49/33.73 inference(transitivity,[status(thm)],[4089, 4087])).
% 53.49/33.73 tff(4091,plain,
% 53.49/33.73 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB18, 1) | (~v100(constB18)) | (~v129(constB18, 1)))),
% 53.49/33.73 inference(quant_inst,[status(thm)],[])).
% 53.49/33.73 tff(4092,plain,
% 53.49/33.73 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB18, 1) | (~v129(constB18, 1)) | (~v100(constB18))),
% 53.49/33.73 inference(modus_ponens,[status(thm)],[4091, 4090])).
% 53.49/33.73 tff(4093,plain,
% 53.49/33.73 (v90(constB18, 1) | (~v100(constB18))),
% 53.49/33.73 inference(unit_resolution,[status(thm)],[4092, 1623, 4086])).
% 53.49/33.73 tff(4094,plain,
% 53.49/33.73 (v90(constB18, 1)),
% 53.49/33.73 inference(unit_resolution,[status(thm)],[4093, 4023])).
% 53.49/33.73 tff(4095,plain,
% 53.49/33.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB18, 1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB18, 1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, 1))),
% 53.49/33.73 inference(rewrite,[status(thm)],[])).
% 53.49/33.73 tff(4096,plain,
% 53.49/33.73 (((~nextState(constB18, constB19)) | (~v90(constB18, 1)) | v100(constB19) | v90(constB19, 1)) <=> ((~v90(constB18, 1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, 1))),
% 53.49/33.73 inference(rewrite,[status(thm)],[])).
% 53.49/33.73 tff(4097,plain,
% 53.49/33.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB18, constB19)) | (~v90(constB18, 1)) | v100(constB19) | v90(constB19, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB18, 1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, 1)))),
% 53.49/33.73 inference(monotonicity,[status(thm)],[4096])).
% 53.49/33.73 tff(4098,plain,
% 53.49/33.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB18, constB19)) | (~v90(constB18, 1)) | v100(constB19) | v90(constB19, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB18, 1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, 1))),
% 53.49/33.73 inference(transitivity,[status(thm)],[4097, 4095])).
% 53.49/33.73 tff(4099,plain,
% 53.49/33.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB18, constB19)) | (~v90(constB18, 1)) | v100(constB19) | v90(constB19, 1))),
% 53.49/33.73 inference(quant_inst,[status(thm)],[])).
% 53.49/33.73 tff(4100,plain,
% 53.49/33.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB18, 1)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, 1)),
% 53.49/33.73 inference(modus_ponens,[status(thm)],[4099, 4098])).
% 53.49/33.73 tff(4101,plain,
% 53.49/33.73 ((~v90(constB18, 1)) | v100(constB19) | v90(constB19, 1)),
% 53.49/33.73 inference(unit_resolution,[status(thm)],[4100, 1641, 4051])).
% 53.49/33.73 tff(4102,plain,
% 53.49/33.73 ((~v90(constB18, 1)) | v90(constB19, 1)),
% 53.49/33.73 inference(unit_resolution,[status(thm)],[4101, 4063])).
% 53.49/33.73 tff(4103,plain,
% 53.49/33.73 (v90(constB19, 1)),
% 53.49/33.73 inference(unit_resolution,[status(thm)],[4102, 4094])).
% 53.49/33.73 tff(4104,plain,
% 53.49/33.73 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB17)) | v130(constB17, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB17)) | v130(constB17, 0))),
% 53.49/33.73 inference(rewrite,[status(thm)],[])).
% 53.49/33.73 tff(4105,plain,
% 53.49/33.73 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB17)) | v130(constB17, 0))),
% 53.49/33.73 inference(quant_inst,[status(thm)],[])).
% 53.49/33.73 tff(4106,plain,
% 53.49/33.73 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB17)) | v130(constB17, 0)),
% 53.49/33.73 inference(modus_ponens,[status(thm)],[4105, 4104])).
% 53.49/33.73 tff(4107,plain,
% 53.49/33.73 (v130(constB17, 0)),
% 53.49/33.73 inference(unit_resolution,[status(thm)],[4106, 1915, 3947])).
% 53.49/33.73 tff(4108,plain,
% 53.49/33.73 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB17) | (~v130(constB17, 0)) | v127(constB17, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB17) | (~v130(constB17, 0)) | v127(constB17, 0))),
% 53.49/33.73 inference(rewrite,[status(thm)],[])).
% 53.49/33.73 tff(4109,plain,
% 53.49/33.73 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB17) | (~v130(constB17, 0)) | v127(constB17, 0))),
% 53.49/33.73 inference(quant_inst,[status(thm)],[])).
% 53.49/33.73 tff(4110,plain,
% 53.49/33.73 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB17) | (~v130(constB17, 0)) | v127(constB17, 0)),
% 53.49/33.73 inference(modus_ponens,[status(thm)],[4109, 4108])).
% 53.49/33.73 tff(4111,plain,
% 53.49/33.73 ((~v130(constB17, 0)) | v127(constB17, 0)),
% 53.49/33.73 inference(unit_resolution,[status(thm)],[4110, 1347, 3977])).
% 53.49/33.73 tff(4112,plain,
% 53.49/33.73 (v127(constB17, 0)),
% 53.49/33.73 inference(unit_resolution,[status(thm)],[4111, 4107])).
% 53.49/33.73 tff(4113,plain,
% 53.49/33.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB17, constB18)) | (~v127(constB17, 0)) | v129(constB18, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB17, constB18)) | (~v127(constB17, 0)) | v129(constB18, 0))),
% 53.49/33.73 inference(rewrite,[status(thm)],[])).
% 53.49/33.73 tff(4114,plain,
% 53.49/33.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB17, constB18)) | (~v127(constB17, 0)) | v129(constB18, 0))),
% 53.49/33.73 inference(quant_inst,[status(thm)],[])).
% 53.49/33.73 tff(4115,plain,
% 53.49/33.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB17, constB18)) | (~v127(constB17, 0)) | v129(constB18, 0)),
% 53.49/33.73 inference(modus_ponens,[status(thm)],[4114, 4113])).
% 53.49/33.73 tff(4116,plain,
% 53.49/33.73 ((~v127(constB17, 0)) | v129(constB18, 0)),
% 53.49/33.73 inference(unit_resolution,[status(thm)],[4115, 1362, 3992])).
% 53.49/33.73 tff(4117,plain,
% 53.49/33.73 (v129(constB18, 0)),
% 53.49/33.73 inference(unit_resolution,[status(thm)],[4116, 4112])).
% 53.49/33.73 tff(4118,plain,
% 53.49/33.73 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB18, 0) | (~v129(constB18, 0)) | (~v100(constB18)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB18, 0) | (~v129(constB18, 0)) | (~v100(constB18)))),
% 53.49/33.73 inference(rewrite,[status(thm)],[])).
% 53.49/33.73 tff(4119,plain,
% 53.49/33.73 ((v90(constB18, 0) | (~v100(constB18)) | (~v129(constB18, 0))) <=> (v90(constB18, 0) | (~v129(constB18, 0)) | (~v100(constB18)))),
% 53.49/33.73 inference(rewrite,[status(thm)],[])).
% 53.49/33.73 tff(4120,plain,
% 53.49/33.73 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB18, 0) | (~v100(constB18)) | (~v129(constB18, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB18, 0) | (~v129(constB18, 0)) | (~v100(constB18))))),
% 53.49/33.73 inference(monotonicity,[status(thm)],[4119])).
% 53.49/33.73 tff(4121,plain,
% 53.49/33.73 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB18, 0) | (~v100(constB18)) | (~v129(constB18, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB18, 0) | (~v129(constB18, 0)) | (~v100(constB18)))),
% 53.49/33.73 inference(transitivity,[status(thm)],[4120, 4118])).
% 53.49/33.73 tff(4122,plain,
% 53.49/33.73 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB18, 0) | (~v100(constB18)) | (~v129(constB18, 0)))),
% 53.49/33.73 inference(quant_inst,[status(thm)],[])).
% 53.49/33.73 tff(4123,plain,
% 53.49/33.73 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB18, 0) | (~v129(constB18, 0)) | (~v100(constB18))),
% 53.49/33.73 inference(modus_ponens,[status(thm)],[4122, 4121])).
% 53.49/33.73 tff(4124,plain,
% 53.49/33.73 (v90(constB18, 0) | (~v100(constB18))),
% 53.49/33.73 inference(unit_resolution,[status(thm)],[4123, 1377, 4117])).
% 53.49/33.73 tff(4125,plain,
% 53.49/33.73 (v90(constB18, 0)),
% 53.49/33.73 inference(unit_resolution,[status(thm)],[4124, 4023])).
% 53.49/33.73 tff(4126,plain,
% 53.49/33.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB18, 0)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB18, 0)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, 0))),
% 53.49/33.73 inference(rewrite,[status(thm)],[])).
% 53.49/33.73 tff(4127,plain,
% 53.49/33.73 (((~nextState(constB18, constB19)) | (~v90(constB18, 0)) | v100(constB19) | v90(constB19, 0)) <=> ((~v90(constB18, 0)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, 0))),
% 53.49/33.73 inference(rewrite,[status(thm)],[])).
% 53.49/33.73 tff(4128,plain,
% 53.49/33.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB18, constB19)) | (~v90(constB18, 0)) | v100(constB19) | v90(constB19, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB18, 0)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, 0)))),
% 53.49/33.73 inference(monotonicity,[status(thm)],[4127])).
% 53.49/33.73 tff(4129,plain,
% 53.49/33.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB18, constB19)) | (~v90(constB18, 0)) | v100(constB19) | v90(constB19, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB18, 0)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, 0))),
% 53.49/33.73 inference(transitivity,[status(thm)],[4128, 4126])).
% 53.49/33.73 tff(4130,plain,
% 53.49/33.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB18, constB19)) | (~v90(constB18, 0)) | v100(constB19) | v90(constB19, 0))),
% 53.49/33.73 inference(quant_inst,[status(thm)],[])).
% 53.49/33.73 tff(4131,plain,
% 53.49/33.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB18, 0)) | (~nextState(constB18, constB19)) | v100(constB19) | v90(constB19, 0)),
% 53.49/33.73 inference(modus_ponens,[status(thm)],[4130, 4129])).
% 53.49/33.73 tff(4132,plain,
% 53.49/33.73 ((~v90(constB18, 0)) | v100(constB19) | v90(constB19, 0)),
% 53.49/33.73 inference(unit_resolution,[status(thm)],[4131, 1395, 4051])).
% 53.49/33.73 tff(4133,plain,
% 53.49/33.73 ((~v90(constB18, 0)) | v90(constB19, 0)),
% 53.49/33.73 inference(unit_resolution,[status(thm)],[4132, 4063])).
% 53.49/33.73 tff(4134,plain,
% 53.49/33.73 (v90(constB19, 0)),
% 53.49/33.73 inference(unit_resolution,[status(thm)],[4133, 4125])).
% 53.49/33.73 tff(4135,plain,
% 53.49/33.73 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB19, 0)) | (~v90(constB19, 1)) | v90(constB19, 2) | v122(constB19))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB19, 0)) | (~v90(constB19, 1)) | v90(constB19, 2) | v122(constB19))),
% 53.49/33.73 inference(rewrite,[status(thm)],[])).
% 53.49/33.73 tff(4136,plain,
% 53.49/33.73 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB19, 0)) | (~v90(constB19, 1)) | v90(constB19, 2) | v122(constB19))),
% 53.49/33.73 inference(quant_inst,[status(thm)],[])).
% 53.49/33.73 tff(4137,plain,
% 53.49/33.73 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB19, 0)) | (~v90(constB19, 1)) | v90(constB19, 2) | v122(constB19)),
% 53.49/33.73 inference(modus_ponens,[status(thm)],[4136, 4135])).
% 53.49/33.73 tff(4138,plain,
% 53.49/33.73 (v122(constB19)),
% 53.49/33.73 inference(unit_resolution,[status(thm)],[4137, 1956, 4134, 4103, 4072])).
% 53.49/33.73 tff(4139,plain,
% 53.49/33.73 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB19)) | v116(constB19))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB19)) | v116(constB19))),
% 53.49/33.73 inference(rewrite,[status(thm)],[])).
% 53.49/33.73 tff(4140,plain,
% 53.49/33.73 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB19)) | v116(constB19))),
% 53.49/33.73 inference(quant_inst,[status(thm)],[])).
% 53.49/33.73 tff(4141,plain,
% 53.49/33.73 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB19)) | v116(constB19)),
% 53.49/33.73 inference(modus_ponens,[status(thm)],[4140, 4139])).
% 53.49/33.73 tff(4142,plain,
% 53.49/33.73 (v116(constB19)),
% 53.49/33.73 inference(unit_resolution,[status(thm)],[4141, 2120, 4138])).
% 53.49/33.73 tff(4143,plain,
% 53.49/33.73 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB19) | (~v116(constB19)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB19) | (~v116(constB19)))),
% 53.49/33.73 inference(rewrite,[status(thm)],[])).
% 53.49/33.73 tff(4144,plain,
% 53.49/33.73 (((~v116(constB19)) | v115(constB19)) <=> (v115(constB19) | (~v116(constB19)))),
% 53.49/33.73 inference(rewrite,[status(thm)],[])).
% 53.49/33.73 tff(4145,plain,
% 53.49/33.73 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB19)) | v115(constB19))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB19) | (~v116(constB19))))),
% 53.49/33.73 inference(monotonicity,[status(thm)],[4144])).
% 53.49/33.73 tff(4146,plain,
% 53.49/33.73 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB19)) | v115(constB19))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB19) | (~v116(constB19)))),
% 53.49/33.73 inference(transitivity,[status(thm)],[4145, 4143])).
% 53.49/33.73 tff(4147,plain,
% 53.49/33.73 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB19)) | v115(constB19))),
% 53.49/33.73 inference(quant_inst,[status(thm)],[])).
% 53.49/33.73 tff(4148,plain,
% 53.49/33.73 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB19) | (~v116(constB19))),
% 53.49/33.73 inference(modus_ponens,[status(thm)],[4147, 4146])).
% 53.49/33.73 tff(4149,plain,
% 53.49/33.73 (v115(constB19)),
% 53.49/33.73 inference(unit_resolution,[status(thm)],[4148, 1021, 4142])).
% 53.49/33.73 tff(4150,plain,
% 53.49/33.73 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB19) | (~v115(constB19)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB19) | (~v115(constB19)))),
% 53.49/33.73 inference(rewrite,[status(thm)],[])).
% 53.49/33.73 tff(4151,plain,
% 53.49/33.73 (((~v115(constB19)) | v114(constB19)) <=> (v114(constB19) | (~v115(constB19)))),
% 53.49/33.73 inference(rewrite,[status(thm)],[])).
% 53.49/33.73 tff(4152,plain,
% 53.49/33.73 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB19)) | v114(constB19))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB19) | (~v115(constB19))))),
% 53.49/33.73 inference(monotonicity,[status(thm)],[4151])).
% 53.49/33.73 tff(4153,plain,
% 53.49/33.73 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB19)) | v114(constB19))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB19) | (~v115(constB19)))),
% 53.49/33.73 inference(transitivity,[status(thm)],[4152, 4150])).
% 53.49/33.73 tff(4154,plain,
% 53.49/33.73 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB19)) | v114(constB19))),
% 53.49/33.73 inference(quant_inst,[status(thm)],[])).
% 53.49/33.73 tff(4155,plain,
% 53.49/33.73 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB19) | (~v115(constB19))),
% 53.49/33.73 inference(modus_ponens,[status(thm)],[4154, 4153])).
% 53.49/33.73 tff(4156,plain,
% 53.49/33.73 (v114(constB19)),
% 53.49/33.73 inference(unit_resolution,[status(thm)],[4155, 1035, 4149])).
% 53.49/33.73 tff(4157,plain,
% 53.49/33.73 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB19) | (~v114(constB19)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB19) | (~v114(constB19)))),
% 53.49/33.73 inference(rewrite,[status(thm)],[])).
% 53.49/33.73 tff(4158,plain,
% 53.49/33.73 (((~v114(constB19)) | v113(constB19)) <=> (v113(constB19) | (~v114(constB19)))),
% 53.49/33.73 inference(rewrite,[status(thm)],[])).
% 53.49/33.73 tff(4159,plain,
% 53.49/33.73 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB19)) | v113(constB19))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB19) | (~v114(constB19))))),
% 53.49/33.73 inference(monotonicity,[status(thm)],[4158])).
% 53.49/33.73 tff(4160,plain,
% 53.49/33.73 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB19)) | v113(constB19))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB19) | (~v114(constB19)))),
% 53.49/33.73 inference(transitivity,[status(thm)],[4159, 4157])).
% 53.49/33.73 tff(4161,plain,
% 53.49/33.73 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB19)) | v113(constB19))),
% 53.49/33.73 inference(quant_inst,[status(thm)],[])).
% 53.49/33.73 tff(4162,plain,
% 53.49/33.73 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB19) | (~v114(constB19))),
% 53.49/33.73 inference(modus_ponens,[status(thm)],[4161, 4160])).
% 53.49/33.73 tff(4163,plain,
% 53.49/33.73 (v113(constB19)),
% 53.49/33.73 inference(unit_resolution,[status(thm)],[4162, 1049, 4156])).
% 53.49/33.73 tff(4164,assumption,(v26(constB19)), introduced(assumption)).
% 53.49/33.73 tff(4165,plain,
% 53.49/33.73 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB19))),
% 53.49/33.73 inference(quant_inst,[status(thm)],[])).
% 53.49/33.73 tff(4166,plain,
% 53.49/33.73 ($false),
% 53.49/33.73 inference(unit_resolution,[status(thm)],[4165, 828, 4164])).
% 53.49/33.73 tff(4167,plain,(~v26(constB19)), inference(lemma,lemma(discharge,[]))).
% 53.49/33.73 tff(4168,plain,
% 53.49/33.73 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB19) | v112(constB19) | (~v113(constB19)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB19) | v112(constB19) | (~v113(constB19)))),
% 53.49/33.73 inference(rewrite,[status(thm)],[])).
% 53.49/33.73 tff(4169,plain,
% 53.49/33.73 ((v26(constB19) | (~v113(constB19)) | v112(constB19)) <=> (v26(constB19) | v112(constB19) | (~v113(constB19)))),
% 53.49/33.73 inference(rewrite,[status(thm)],[])).
% 53.49/33.73 tff(4170,plain,
% 53.49/33.73 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB19) | (~v113(constB19)) | v112(constB19))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB19) | v112(constB19) | (~v113(constB19))))),
% 53.49/33.73 inference(monotonicity,[status(thm)],[4169])).
% 53.49/33.73 tff(4171,plain,
% 53.49/33.73 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB19) | (~v113(constB19)) | v112(constB19))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB19) | v112(constB19) | (~v113(constB19)))),
% 53.49/33.73 inference(transitivity,[status(thm)],[4170, 4168])).
% 53.49/33.73 tff(4172,plain,
% 53.49/33.73 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB19) | (~v113(constB19)) | v112(constB19))),
% 53.49/33.73 inference(quant_inst,[status(thm)],[])).
% 53.49/33.73 tff(4173,plain,
% 53.49/33.73 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB19) | v112(constB19) | (~v113(constB19))),
% 53.49/33.73 inference(modus_ponens,[status(thm)],[4172, 4171])).
% 53.49/33.73 tff(4174,plain,
% 53.49/33.73 (v112(constB19) | (~v113(constB19))),
% 53.49/33.73 inference(unit_resolution,[status(thm)],[4173, 1063, 4167])).
% 53.49/33.73 tff(4175,plain,
% 53.49/33.73 (v112(constB19)),
% 53.49/33.73 inference(unit_resolution,[status(thm)],[4174, 4163])).
% 53.49/33.73 tff(4176,plain,
% 53.49/33.73 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB19) | (~v112(constB19)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB19) | (~v112(constB19)))),
% 53.49/33.73 inference(rewrite,[status(thm)],[])).
% 53.49/33.73 tff(4177,plain,
% 53.49/33.73 (((~v112(constB19)) | v108(constB19)) <=> (v108(constB19) | (~v112(constB19)))),
% 53.49/33.73 inference(rewrite,[status(thm)],[])).
% 53.49/33.73 tff(4178,plain,
% 53.49/33.73 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB19)) | v108(constB19))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB19) | (~v112(constB19))))),
% 53.49/33.73 inference(monotonicity,[status(thm)],[4177])).
% 53.49/33.73 tff(4179,plain,
% 53.49/33.73 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB19)) | v108(constB19))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB19) | (~v112(constB19)))),
% 53.49/33.73 inference(transitivity,[status(thm)],[4178, 4176])).
% 53.49/33.73 tff(4180,plain,
% 53.49/33.73 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB19)) | v108(constB19))),
% 53.49/33.73 inference(quant_inst,[status(thm)],[])).
% 53.49/33.73 tff(4181,plain,
% 53.49/33.73 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB19) | (~v112(constB19))),
% 53.49/33.73 inference(modus_ponens,[status(thm)],[4180, 4179])).
% 53.49/33.73 tff(4182,plain,
% 53.49/33.73 (v108(constB19)),
% 53.49/33.73 inference(unit_resolution,[status(thm)],[4181, 1075, 4175])).
% 53.49/33.73 tff(4183,plain,
% 53.49/33.73 (nextState(constB19, constB20) <=> nextState(constB19, constB20)),
% 53.49/33.73 inference(rewrite,[status(thm)],[])).
% 53.49/33.73 tff(4184,axiom,(nextState(constB19, constB20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_19_1')).
% 53.49/33.73 tff(4185,plain,
% 53.49/33.73 (nextState(constB19, constB20)),
% 53.49/33.73 inference(modus_ponens,[status(thm)],[4184, 4183])).
% 53.49/33.73 tff(4186,plain,
% 53.49/33.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19)))),
% 53.49/33.73 inference(rewrite,[status(thm)],[])).
% 53.49/33.73 tff(4187,plain,
% 53.49/33.73 (((~nextState(constB19, constB20)) | (~v108(constB19)) | v110(constB20)) <=> ((~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19)))),
% 53.49/33.73 inference(rewrite,[status(thm)],[])).
% 53.49/33.73 tff(4188,plain,
% 53.49/33.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB19, constB20)) | (~v108(constB19)) | v110(constB20))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19))))),
% 53.49/33.73 inference(monotonicity,[status(thm)],[4187])).
% 53.49/33.73 tff(4189,plain,
% 53.49/33.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB19, constB20)) | (~v108(constB19)) | v110(constB20))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19)))),
% 53.49/33.73 inference(transitivity,[status(thm)],[4188, 4186])).
% 53.49/33.73 tff(4190,plain,
% 53.49/33.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB19, constB20)) | (~v108(constB19)) | v110(constB20))),
% 53.49/33.73 inference(quant_inst,[status(thm)],[])).
% 53.49/33.73 tff(4191,plain,
% 53.49/33.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB19, constB20)) | v110(constB20) | (~v108(constB19))),
% 53.49/33.73 inference(modus_ponens,[status(thm)],[4190, 4189])).
% 53.49/33.73 tff(4192,plain,
% 53.49/33.73 (v110(constB20) | (~v108(constB19))),
% 53.49/33.73 inference(unit_resolution,[status(thm)],[4191, 1095, 4185])).
% 53.49/33.73 tff(4193,plain,
% 53.49/33.73 (v110(constB20)),
% 53.49/33.73 inference(unit_resolution,[status(thm)],[4192, 4182])).
% 53.49/33.73 tff(4194,plain,
% 53.49/33.73 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB19) | (~nextState(constB19, constB20)) | (~v104(constB20)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB19) | (~nextState(constB19, constB20)) | (~v104(constB20)))),
% 53.49/33.73 inference(rewrite,[status(thm)],[])).
% 53.49/33.73 tff(4195,plain,
% 53.49/33.73 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB19) | (~nextState(constB19, constB20)) | (~v104(constB20)))),
% 53.49/33.73 inference(quant_inst,[status(thm)],[])).
% 53.49/33.73 tff(4196,plain,
% 53.49/33.73 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB19) | (~nextState(constB19, constB20)) | (~v104(constB20))),
% 53.57/33.73 inference(modus_ponens,[status(thm)],[4195, 4194])).
% 53.57/33.73 tff(4197,plain,
% 53.57/33.73 (~v104(constB20)),
% 53.57/33.73 inference(unit_resolution,[status(thm)],[4196, 1113, 4185, 4048])).
% 53.57/33.73 tff(4198,plain,
% 53.57/33.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB19, constB20)) | v102(constB20) | v104(constB20))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB19, constB20)) | v102(constB20) | v104(constB20))),
% 53.57/33.73 inference(rewrite,[status(thm)],[])).
% 53.57/33.73 tff(4199,plain,
% 53.57/33.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB19, constB20)) | v102(constB20) | v104(constB20))),
% 53.57/33.73 inference(quant_inst,[status(thm)],[])).
% 53.57/33.73 tff(4200,plain,
% 53.57/33.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB19, constB20)) | v102(constB20) | v104(constB20)),
% 53.57/33.73 inference(modus_ponens,[status(thm)],[4199, 4198])).
% 53.57/33.73 tff(4201,plain,
% 53.57/33.73 (v102(constB20) | v104(constB20)),
% 53.57/33.73 inference(unit_resolution,[status(thm)],[4200, 1127, 4185])).
% 53.57/33.73 tff(4202,plain,
% 53.57/33.73 (v102(constB20)),
% 53.57/33.73 inference(unit_resolution,[status(thm)],[4201, 4197])).
% 53.57/33.73 tff(4203,plain,
% 53.57/33.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB19, constB20)) | v101(constB20) | (~v102(constB20)) | (~v1(constB20)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB19, constB20)) | v101(constB20) | (~v102(constB20)) | (~v1(constB20)))),
% 53.57/33.73 inference(rewrite,[status(thm)],[])).
% 53.57/33.73 tff(4204,plain,
% 53.57/33.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB19, constB20)) | v101(constB20) | (~v102(constB20)) | (~v1(constB20)))),
% 53.57/33.73 inference(quant_inst,[status(thm)],[])).
% 53.57/33.73 tff(4205,plain,
% 53.57/33.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB19, constB20)) | v101(constB20) | (~v102(constB20)) | (~v1(constB20))),
% 53.57/33.73 inference(modus_ponens,[status(thm)],[4204, 4203])).
% 53.57/33.73 tff(4206,plain,
% 53.57/33.73 (v101(constB20) | (~v102(constB20))),
% 53.57/33.73 inference(unit_resolution,[status(thm)],[4205, 1145, 4185, 563])).
% 53.57/33.73 tff(4207,plain,
% 53.57/33.73 (v101(constB20)),
% 53.57/33.73 inference(unit_resolution,[status(thm)],[4206, 4202])).
% 53.57/33.73 tff(4208,plain,
% 53.57/33.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20)))),
% 53.57/33.73 inference(rewrite,[status(thm)],[])).
% 53.57/33.73 tff(4209,plain,
% 53.57/33.73 (((~nextState(constB19, constB20)) | (~v101(constB20)) | (~v110(constB20)) | v100(constB20)) <=> ((~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20)))),
% 53.57/33.73 inference(rewrite,[status(thm)],[])).
% 53.57/33.73 tff(4210,plain,
% 53.57/33.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB19, constB20)) | (~v101(constB20)) | (~v110(constB20)) | v100(constB20))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20))))),
% 53.57/33.73 inference(monotonicity,[status(thm)],[4209])).
% 53.57/33.73 tff(4211,plain,
% 53.57/33.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB19, constB20)) | (~v101(constB20)) | (~v110(constB20)) | v100(constB20))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20)))),
% 53.57/33.73 inference(transitivity,[status(thm)],[4210, 4208])).
% 53.57/33.73 tff(4212,plain,
% 53.57/33.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB19, constB20)) | (~v101(constB20)) | (~v110(constB20)) | v100(constB20))),
% 53.57/33.73 inference(quant_inst,[status(thm)],[])).
% 53.57/33.73 tff(4213,plain,
% 53.57/33.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB19, constB20)) | v100(constB20) | (~v101(constB20)) | (~v110(constB20))),
% 53.57/33.73 inference(modus_ponens,[status(thm)],[4212, 4211])).
% 53.57/33.73 tff(4214,plain,
% 53.57/33.73 (v100(constB20) | (~v101(constB20)) | (~v110(constB20))),
% 53.57/33.73 inference(unit_resolution,[status(thm)],[4213, 1160, 4185])).
% 53.57/33.73 tff(4215,plain,
% 53.57/33.73 (v100(constB20) | (~v110(constB20))),
% 53.57/33.73 inference(unit_resolution,[status(thm)],[4214, 4207])).
% 53.57/33.73 tff(4216,plain,
% 53.57/33.73 (v100(constB20)),
% 53.57/33.73 inference(unit_resolution,[status(thm)],[4215, 4193])).
% 53.57/33.73 tff(4217,plain,
% 53.57/33.73 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB19)) | v130(constB19, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB19)) | v130(constB19, 2))),
% 53.57/33.73 inference(rewrite,[status(thm)],[])).
% 53.57/33.73 tff(4218,plain,
% 53.57/33.73 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB19)) | v130(constB19, 2))),
% 53.57/33.73 inference(quant_inst,[status(thm)],[])).
% 53.57/33.73 tff(4219,plain,
% 53.57/33.73 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB19)) | v130(constB19, 2)),
% 53.57/33.73 inference(modus_ponens,[status(thm)],[4218, 4217])).
% 53.57/33.73 tff(4220,plain,
% 53.57/33.73 (v130(constB19, 2)),
% 53.57/33.73 inference(unit_resolution,[status(thm)],[4219, 1967, 4138])).
% 53.57/33.73 tff(4221,plain,
% 53.57/33.73 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB19) | (~v130(constB19, 2)) | v127(constB19, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB19) | (~v130(constB19, 2)) | v127(constB19, 2))),
% 53.57/33.73 inference(rewrite,[status(thm)],[])).
% 53.57/33.73 tff(4222,plain,
% 53.57/33.73 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB19) | (~v130(constB19, 2)) | v127(constB19, 2))),
% 53.57/33.73 inference(quant_inst,[status(thm)],[])).
% 53.57/33.73 tff(4223,plain,
% 53.57/33.73 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB19) | (~v130(constB19, 2)) | v127(constB19, 2)),
% 53.57/33.73 inference(modus_ponens,[status(thm)],[4222, 4221])).
% 53.57/33.73 tff(4224,plain,
% 53.57/33.73 ((~v130(constB19, 2)) | v127(constB19, 2)),
% 53.57/33.73 inference(unit_resolution,[status(thm)],[4223, 1981, 4167])).
% 53.57/33.73 tff(4225,plain,
% 53.57/33.73 (v127(constB19, 2)),
% 53.57/33.73 inference(unit_resolution,[status(thm)],[4224, 4220])).
% 53.57/33.73 tff(4226,plain,
% 53.57/33.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB19, constB20)) | (~v127(constB19, 2)) | v129(constB20, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB19, constB20)) | (~v127(constB19, 2)) | v129(constB20, 2))),
% 53.57/33.73 inference(rewrite,[status(thm)],[])).
% 53.57/33.73 tff(4227,plain,
% 53.57/33.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB19, constB20)) | (~v127(constB19, 2)) | v129(constB20, 2))),
% 53.57/33.73 inference(quant_inst,[status(thm)],[])).
% 53.57/33.74 tff(4228,plain,
% 53.57/33.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB19, constB20)) | (~v127(constB19, 2)) | v129(constB20, 2)),
% 53.57/33.74 inference(modus_ponens,[status(thm)],[4227, 4226])).
% 53.57/33.74 tff(4229,plain,
% 53.57/33.74 ((~v127(constB19, 2)) | v129(constB20, 2)),
% 53.57/33.74 inference(unit_resolution,[status(thm)],[4228, 1999, 4185])).
% 53.57/33.74 tff(4230,plain,
% 53.57/33.74 (v129(constB20, 2)),
% 53.57/33.74 inference(unit_resolution,[status(thm)],[4229, 4225])).
% 53.57/33.74 tff(4231,plain,
% 53.57/33.74 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB20, 2) | (~v129(constB20, 2)) | (~v100(constB20)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB20, 2) | (~v129(constB20, 2)) | (~v100(constB20)))),
% 53.57/33.74 inference(rewrite,[status(thm)],[])).
% 53.57/33.74 tff(4232,plain,
% 53.57/33.74 ((v90(constB20, 2) | (~v100(constB20)) | (~v129(constB20, 2))) <=> (v90(constB20, 2) | (~v129(constB20, 2)) | (~v100(constB20)))),
% 53.57/33.74 inference(rewrite,[status(thm)],[])).
% 53.57/33.74 tff(4233,plain,
% 53.57/33.74 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB20, 2) | (~v100(constB20)) | (~v129(constB20, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB20, 2) | (~v129(constB20, 2)) | (~v100(constB20))))),
% 53.57/33.74 inference(monotonicity,[status(thm)],[4232])).
% 53.57/33.74 tff(4234,plain,
% 53.57/33.74 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB20, 2) | (~v100(constB20)) | (~v129(constB20, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB20, 2) | (~v129(constB20, 2)) | (~v100(constB20)))),
% 53.57/33.74 inference(transitivity,[status(thm)],[4233, 4231])).
% 53.57/33.74 tff(4235,plain,
% 53.57/33.74 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB20, 2) | (~v100(constB20)) | (~v129(constB20, 2)))),
% 53.57/33.74 inference(quant_inst,[status(thm)],[])).
% 53.57/33.74 tff(4236,plain,
% 53.57/33.74 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB20, 2) | (~v129(constB20, 2)) | (~v100(constB20))),
% 53.57/33.74 inference(modus_ponens,[status(thm)],[4235, 4234])).
% 53.57/33.74 tff(4237,plain,
% 53.57/33.74 (v90(constB20, 2) | (~v100(constB20))),
% 53.57/33.74 inference(unit_resolution,[status(thm)],[4236, 2324, 4230])).
% 53.57/33.74 tff(4238,plain,
% 53.57/33.74 (v90(constB20, 2)),
% 53.57/33.74 inference(unit_resolution,[status(thm)],[4237, 4216])).
% 53.57/33.74 tff(4239,plain,
% 53.57/33.74 ((~v1(constB21)) <=> (~v1(constB21))),
% 53.57/33.74 inference(rewrite,[status(thm)],[])).
% 53.57/33.74 tff(4240,axiom,(~v1(constB21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_21_1_1')).
% 53.57/33.74 tff(4241,plain,
% 53.57/33.74 (~v1(constB21)),
% 53.57/33.74 inference(modus_ponens,[status(thm)],[4240, 4239])).
% 53.57/33.74 tff(4242,plain,
% 53.57/33.74 (nextState(constB20, constB21) <=> nextState(constB20, constB21)),
% 53.57/33.74 inference(rewrite,[status(thm)],[])).
% 53.57/33.74 tff(4243,axiom,(nextState(constB20, constB21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_20_1')).
% 53.57/33.74 tff(4244,plain,
% 53.57/33.74 (nextState(constB20, constB21)),
% 53.57/33.74 inference(modus_ponens,[status(thm)],[4243, 4242])).
% 53.57/33.74 tff(4245,plain,
% 53.57/33.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21)))),
% 53.57/33.74 inference(rewrite,[status(thm)],[])).
% 53.57/33.74 tff(4246,plain,
% 53.57/33.74 (((~nextState(constB20, constB21)) | (~v101(constB21)) | v1(constB21)) <=> (v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21)))),
% 53.57/33.74 inference(rewrite,[status(thm)],[])).
% 53.57/33.74 tff(4247,plain,
% 53.57/33.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB20, constB21)) | (~v101(constB21)) | v1(constB21))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21))))),
% 53.57/33.74 inference(monotonicity,[status(thm)],[4246])).
% 53.57/33.74 tff(4248,plain,
% 53.57/33.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB20, constB21)) | (~v101(constB21)) | v1(constB21))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21)))),
% 53.57/33.74 inference(transitivity,[status(thm)],[4247, 4245])).
% 53.57/33.74 tff(4249,plain,
% 53.57/33.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB20, constB21)) | (~v101(constB21)) | v1(constB21))),
% 53.57/33.74 inference(quant_inst,[status(thm)],[])).
% 53.57/33.74 tff(4250,plain,
% 53.57/33.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB21) | (~nextState(constB20, constB21)) | (~v101(constB21))),
% 53.57/33.74 inference(modus_ponens,[status(thm)],[4249, 4248])).
% 53.57/33.74 tff(4251,plain,
% 53.57/33.74 (~v101(constB21)),
% 53.57/33.74 inference(unit_resolution,[status(thm)],[4250, 873, 4244, 4241])).
% 53.57/33.74 tff(4252,plain,
% 53.57/33.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB20, constB21)) | v101(constB21) | (~v100(constB21)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB20, constB21)) | v101(constB21) | (~v100(constB21)))),
% 53.57/33.74 inference(rewrite,[status(thm)],[])).
% 53.57/33.74 tff(4253,plain,
% 53.57/33.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB20, constB21)) | v101(constB21) | (~v100(constB21)))),
% 53.57/33.74 inference(quant_inst,[status(thm)],[])).
% 53.57/33.74 tff(4254,plain,
% 53.57/33.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB20, constB21)) | v101(constB21) | (~v100(constB21))),
% 53.57/33.74 inference(modus_ponens,[status(thm)],[4253, 4252])).
% 53.57/33.74 tff(4255,plain,
% 53.57/33.74 (v101(constB21) | (~v100(constB21))),
% 53.57/33.74 inference(unit_resolution,[status(thm)],[4254, 890, 4244])).
% 53.57/33.74 tff(4256,plain,
% 53.57/33.74 (~v100(constB21)),
% 53.57/33.74 inference(unit_resolution,[status(thm)],[4255, 4251])).
% 53.57/33.74 tff(4257,plain,
% 53.57/33.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB20, 2)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB20, 2)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, 2))),
% 53.57/33.74 inference(rewrite,[status(thm)],[])).
% 53.57/33.74 tff(4258,plain,
% 53.57/33.74 (((~nextState(constB20, constB21)) | (~v90(constB20, 2)) | v100(constB21) | v90(constB21, 2)) <=> ((~v90(constB20, 2)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, 2))),
% 53.57/33.74 inference(rewrite,[status(thm)],[])).
% 53.57/33.74 tff(4259,plain,
% 53.57/33.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB20, constB21)) | (~v90(constB20, 2)) | v100(constB21) | v90(constB21, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB20, 2)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, 2)))),
% 53.57/33.74 inference(monotonicity,[status(thm)],[4258])).
% 53.57/33.74 tff(4260,plain,
% 53.57/33.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB20, constB21)) | (~v90(constB20, 2)) | v100(constB21) | v90(constB21, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB20, 2)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, 2))),
% 53.57/33.74 inference(transitivity,[status(thm)],[4259, 4257])).
% 53.57/33.74 tff(4261,plain,
% 53.57/33.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB20, constB21)) | (~v90(constB20, 2)) | v100(constB21) | v90(constB21, 2))),
% 53.57/33.74 inference(quant_inst,[status(thm)],[])).
% 53.57/33.74 tff(4262,plain,
% 53.57/33.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB20, 2)) | (~nextState(constB20, constB21)) | v100(constB21) | v90(constB21, 2)),
% 53.57/33.74 inference(modus_ponens,[status(thm)],[4261, 4260])).
% 53.57/33.74 tff(4263,plain,
% 53.57/33.74 ((~v90(constB20, 2)) | v100(constB21) | v90(constB21, 2)),
% 53.57/33.74 inference(unit_resolution,[status(thm)],[4262, 2174, 4244])).
% 53.57/33.74 tff(4264,plain,
% 53.57/33.74 ((~v90(constB20, 2)) | v90(constB21, 2)),
% 53.57/33.74 inference(unit_resolution,[status(thm)],[4263, 4256])).
% 53.57/33.74 tff(4265,plain,
% 53.57/33.74 (v90(constB21, 2)),
% 53.57/33.74 inference(unit_resolution,[status(thm)],[4264, 4238])).
% 53.57/33.74 tff(4266,plain,
% 53.57/33.74 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB19)) | (~v130(constB19, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB19)) | (~v130(constB19, 1)))),
% 53.57/33.74 inference(rewrite,[status(thm)],[])).
% 53.57/33.74 tff(4267,plain,
% 53.57/33.74 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB19)) | (~v130(constB19, 1)))),
% 53.57/33.74 inference(quant_inst,[status(thm)],[])).
% 53.57/33.74 tff(4268,plain,
% 53.57/33.74 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB19)) | (~v130(constB19, 1))),
% 53.57/33.74 inference(modus_ponens,[status(thm)],[4267, 4266])).
% 53.57/33.74 tff(4269,plain,
% 53.57/33.74 (~v130(constB19, 1)),
% 53.57/33.74 inference(unit_resolution,[status(thm)],[4268, 2366, 4138])).
% 53.57/33.74 tff(4270,plain,
% 53.57/33.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB19, 1)) | v26(constB19) | v130(constB19, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB19, 1)) | v26(constB19) | v130(constB19, 1))),
% 53.57/33.74 inference(rewrite,[status(thm)],[])).
% 53.57/33.74 tff(4271,plain,
% 53.57/33.74 ((v26(constB19) | v130(constB19, 1) | (~v127(constB19, 1))) <=> ((~v127(constB19, 1)) | v26(constB19) | v130(constB19, 1))),
% 53.57/33.74 inference(rewrite,[status(thm)],[])).
% 53.57/33.74 tff(4272,plain,
% 53.57/33.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB19) | v130(constB19, 1) | (~v127(constB19, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB19, 1)) | v26(constB19) | v130(constB19, 1)))),
% 53.57/33.74 inference(monotonicity,[status(thm)],[4271])).
% 53.57/33.74 tff(4273,plain,
% 53.57/33.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB19) | v130(constB19, 1) | (~v127(constB19, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB19, 1)) | v26(constB19) | v130(constB19, 1))),
% 53.57/33.74 inference(transitivity,[status(thm)],[4272, 4270])).
% 53.57/33.74 tff(4274,plain,
% 53.57/33.74 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB19) | v130(constB19, 1) | (~v127(constB19, 1)))),
% 53.57/33.74 inference(quant_inst,[status(thm)],[])).
% 53.57/33.74 tff(4275,plain,
% 53.57/33.74 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB19, 1)) | v26(constB19) | v130(constB19, 1)),
% 53.57/33.74 inference(modus_ponens,[status(thm)],[4274, 4273])).
% 53.57/33.74 tff(4276,plain,
% 53.57/33.74 ((~v127(constB19, 1)) | v130(constB19, 1)),
% 53.57/33.74 inference(unit_resolution,[status(thm)],[4275, 1276, 4167])).
% 53.57/33.74 tff(4277,plain,
% 53.57/33.74 (~v127(constB19, 1)),
% 53.57/33.74 inference(unit_resolution,[status(thm)],[4276, 4269])).
% 53.57/33.74 tff(4278,plain,
% 53.57/33.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB19, constB20)) | v127(constB19, 1) | (~v129(constB20, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB19, constB20)) | v127(constB19, 1) | (~v129(constB20, 1)))),
% 53.57/33.74 inference(rewrite,[status(thm)],[])).
% 53.57/33.74 tff(4279,plain,
% 53.57/33.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB19, constB20)) | v127(constB19, 1) | (~v129(constB20, 1)))),
% 53.57/33.74 inference(quant_inst,[status(thm)],[])).
% 53.57/33.74 tff(4280,plain,
% 53.57/33.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB19, constB20)) | v127(constB19, 1) | (~v129(constB20, 1))),
% 53.57/33.74 inference(modus_ponens,[status(thm)],[4279, 4278])).
% 53.57/33.74 tff(4281,plain,
% 53.57/33.74 (v127(constB19, 1) | (~v129(constB20, 1))),
% 53.57/33.74 inference(unit_resolution,[status(thm)],[4280, 1294, 4185])).
% 53.57/33.74 tff(4282,plain,
% 53.57/33.74 (~v129(constB20, 1)),
% 53.57/33.74 inference(unit_resolution,[status(thm)],[4281, 4277])).
% 53.57/33.74 tff(4283,plain,
% 53.57/33.74 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB20, 1)) | v129(constB20, 1) | (~v100(constB20)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB20, 1)) | v129(constB20, 1) | (~v100(constB20)))),
% 53.57/33.74 inference(rewrite,[status(thm)],[])).
% 53.57/33.74 tff(4284,plain,
% 53.57/33.74 (((~v90(constB20, 1)) | (~v100(constB20)) | v129(constB20, 1)) <=> ((~v90(constB20, 1)) | v129(constB20, 1) | (~v100(constB20)))),
% 53.57/33.74 inference(rewrite,[status(thm)],[])).
% 53.57/33.74 tff(4285,plain,
% 53.57/33.74 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB20, 1)) | (~v100(constB20)) | v129(constB20, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB20, 1)) | v129(constB20, 1) | (~v100(constB20))))),
% 53.57/33.74 inference(monotonicity,[status(thm)],[4284])).
% 53.57/33.74 tff(4286,plain,
% 53.57/33.74 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB20, 1)) | (~v100(constB20)) | v129(constB20, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB20, 1)) | v129(constB20, 1) | (~v100(constB20)))),
% 53.57/33.74 inference(transitivity,[status(thm)],[4285, 4283])).
% 53.57/33.74 tff(4287,plain,
% 53.57/33.74 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB20, 1)) | (~v100(constB20)) | v129(constB20, 1))),
% 53.57/33.74 inference(quant_inst,[status(thm)],[])).
% 53.57/33.74 tff(4288,plain,
% 53.57/33.74 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB20, 1)) | v129(constB20, 1) | (~v100(constB20))),
% 53.57/33.74 inference(modus_ponens,[status(thm)],[4287, 4286])).
% 53.57/33.74 tff(4289,plain,
% 53.57/33.74 ((~v90(constB20, 1)) | (~v100(constB20))),
% 53.57/33.74 inference(unit_resolution,[status(thm)],[4288, 1309, 4282])).
% 53.57/33.74 tff(4290,plain,
% 53.57/33.74 (~v90(constB20, 1)),
% 53.57/33.74 inference(unit_resolution,[status(thm)],[4289, 4216])).
% 53.57/33.74 tff(4291,plain,
% 53.57/33.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB20, 1) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB20, 1) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, 1)))),
% 53.57/33.74 inference(rewrite,[status(thm)],[])).
% 53.57/33.74 tff(4292,plain,
% 53.57/33.74 (((~nextState(constB20, constB21)) | v90(constB20, 1) | v100(constB21) | (~v90(constB21, 1))) <=> (v90(constB20, 1) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, 1)))),
% 53.57/33.74 inference(rewrite,[status(thm)],[])).
% 53.57/33.74 tff(4293,plain,
% 53.57/33.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB20, constB21)) | v90(constB20, 1) | v100(constB21) | (~v90(constB21, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB20, 1) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, 1))))),
% 53.57/33.74 inference(monotonicity,[status(thm)],[4292])).
% 53.57/33.74 tff(4294,plain,
% 53.57/33.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB20, constB21)) | v90(constB20, 1) | v100(constB21) | (~v90(constB21, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB20, 1) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, 1)))),
% 53.57/33.74 inference(transitivity,[status(thm)],[4293, 4291])).
% 53.57/33.74 tff(4295,plain,
% 53.57/33.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB20, constB21)) | v90(constB20, 1) | v100(constB21) | (~v90(constB21, 1)))),
% 53.57/33.74 inference(quant_inst,[status(thm)],[])).
% 53.57/33.74 tff(4296,plain,
% 53.57/33.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB20, 1) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, 1))),
% 53.57/33.74 inference(modus_ponens,[status(thm)],[4295, 4294])).
% 53.57/33.74 tff(4297,plain,
% 53.57/33.74 (v90(constB20, 1) | v100(constB21) | (~v90(constB21, 1))),
% 53.57/33.74 inference(unit_resolution,[status(thm)],[4296, 926, 4244])).
% 53.57/33.74 tff(4298,plain,
% 53.57/33.74 (v90(constB20, 1) | (~v90(constB21, 1))),
% 53.57/33.74 inference(unit_resolution,[status(thm)],[4297, 4256])).
% 53.57/33.74 tff(4299,plain,
% 53.57/33.74 (~v90(constB21, 1)),
% 53.57/33.74 inference(unit_resolution,[status(thm)],[4298, 4290])).
% 53.57/33.74 tff(4300,plain,
% 53.57/33.74 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB19)) | (~v130(constB19, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB19)) | (~v130(constB19, 0)))),
% 53.57/33.74 inference(rewrite,[status(thm)],[])).
% 53.57/33.74 tff(4301,plain,
% 53.57/33.74 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB19)) | (~v130(constB19, 0)))),
% 53.57/33.74 inference(quant_inst,[status(thm)],[])).
% 53.57/33.74 tff(4302,plain,
% 53.57/33.74 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB19)) | (~v130(constB19, 0))),
% 53.57/33.74 inference(modus_ponens,[status(thm)],[4301, 4300])).
% 53.57/33.74 tff(4303,plain,
% 53.57/33.74 (~v130(constB19, 0)),
% 53.57/33.74 inference(unit_resolution,[status(thm)],[4302, 2407, 4138])).
% 53.57/33.74 tff(4304,plain,
% 53.57/33.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB19, 0)) | v26(constB19) | v130(constB19, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB19, 0)) | v26(constB19) | v130(constB19, 0))),
% 53.57/33.74 inference(rewrite,[status(thm)],[])).
% 53.57/33.74 tff(4305,plain,
% 53.57/33.74 ((v26(constB19) | v130(constB19, 0) | (~v127(constB19, 0))) <=> ((~v127(constB19, 0)) | v26(constB19) | v130(constB19, 0))),
% 53.57/33.74 inference(rewrite,[status(thm)],[])).
% 53.57/33.74 tff(4306,plain,
% 53.57/33.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB19) | v130(constB19, 0) | (~v127(constB19, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB19, 0)) | v26(constB19) | v130(constB19, 0)))),
% 53.57/33.74 inference(monotonicity,[status(thm)],[4305])).
% 53.57/33.74 tff(4307,plain,
% 53.57/33.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB19) | v130(constB19, 0) | (~v127(constB19, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB19, 0)) | v26(constB19) | v130(constB19, 0))),
% 53.57/33.74 inference(transitivity,[status(thm)],[4306, 4304])).
% 53.57/33.74 tff(4308,plain,
% 53.57/33.74 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB19) | v130(constB19, 0) | (~v127(constB19, 0)))),
% 53.57/33.74 inference(quant_inst,[status(thm)],[])).
% 53.57/33.74 tff(4309,plain,
% 53.57/33.74 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB19, 0)) | v26(constB19) | v130(constB19, 0)),
% 53.57/33.74 inference(modus_ponens,[status(thm)],[4308, 4307])).
% 53.57/33.74 tff(4310,plain,
% 53.57/33.74 ((~v127(constB19, 0)) | v130(constB19, 0)),
% 53.57/33.74 inference(unit_resolution,[status(thm)],[4309, 1671, 4167])).
% 53.57/33.74 tff(4311,plain,
% 53.57/33.74 (~v127(constB19, 0)),
% 53.57/33.74 inference(unit_resolution,[status(thm)],[4310, 4303])).
% 53.57/33.74 tff(4312,plain,
% 53.57/33.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB19, constB20)) | v127(constB19, 0) | (~v129(constB20, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB19, constB20)) | v127(constB19, 0) | (~v129(constB20, 0)))),
% 53.57/33.74 inference(rewrite,[status(thm)],[])).
% 53.57/33.74 tff(4313,plain,
% 53.57/33.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB19, constB20)) | v127(constB19, 0) | (~v129(constB20, 0)))),
% 53.57/33.74 inference(quant_inst,[status(thm)],[])).
% 53.57/33.74 tff(4314,plain,
% 53.57/33.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB19, constB20)) | v127(constB19, 0) | (~v129(constB20, 0))),
% 53.57/33.74 inference(modus_ponens,[status(thm)],[4313, 4312])).
% 53.57/33.74 tff(4315,plain,
% 53.57/33.74 (v127(constB19, 0) | (~v129(constB20, 0))),
% 53.57/33.74 inference(unit_resolution,[status(thm)],[4314, 1689, 4185])).
% 53.57/33.74 tff(4316,plain,
% 53.57/33.74 (~v129(constB20, 0)),
% 53.57/33.74 inference(unit_resolution,[status(thm)],[4315, 4311])).
% 53.57/33.74 tff(4317,plain,
% 53.57/33.74 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB20, 0)) | v129(constB20, 0) | (~v100(constB20)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB20, 0)) | v129(constB20, 0) | (~v100(constB20)))),
% 53.57/33.74 inference(rewrite,[status(thm)],[])).
% 53.57/33.74 tff(4318,plain,
% 53.57/33.74 (((~v90(constB20, 0)) | (~v100(constB20)) | v129(constB20, 0)) <=> ((~v90(constB20, 0)) | v129(constB20, 0) | (~v100(constB20)))),
% 53.57/33.74 inference(rewrite,[status(thm)],[])).
% 53.57/33.74 tff(4319,plain,
% 53.57/33.74 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB20, 0)) | (~v100(constB20)) | v129(constB20, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB20, 0)) | v129(constB20, 0) | (~v100(constB20))))),
% 53.57/33.74 inference(monotonicity,[status(thm)],[4318])).
% 53.57/33.74 tff(4320,plain,
% 53.57/33.74 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB20, 0)) | (~v100(constB20)) | v129(constB20, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB20, 0)) | v129(constB20, 0) | (~v100(constB20)))),
% 53.57/33.74 inference(transitivity,[status(thm)],[4319, 4317])).
% 53.57/33.74 tff(4321,plain,
% 53.57/33.74 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB20, 0)) | (~v100(constB20)) | v129(constB20, 0))),
% 53.57/33.74 inference(quant_inst,[status(thm)],[])).
% 53.57/33.74 tff(4322,plain,
% 53.57/33.74 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB20, 0)) | v129(constB20, 0) | (~v100(constB20))),
% 53.57/33.74 inference(modus_ponens,[status(thm)],[4321, 4320])).
% 53.57/33.74 tff(4323,plain,
% 53.57/33.74 ((~v90(constB20, 0)) | (~v100(constB20))),
% 53.57/33.74 inference(unit_resolution,[status(thm)],[4322, 1704, 4316])).
% 53.57/33.74 tff(4324,plain,
% 53.57/33.74 (~v90(constB20, 0)),
% 53.57/33.74 inference(unit_resolution,[status(thm)],[4323, 4216])).
% 53.57/33.74 tff(4325,plain,
% 53.57/33.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB20, 0) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB20, 0) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, 0)))),
% 53.57/33.74 inference(rewrite,[status(thm)],[])).
% 53.57/33.74 tff(4326,plain,
% 53.57/33.74 (((~nextState(constB20, constB21)) | v90(constB20, 0) | v100(constB21) | (~v90(constB21, 0))) <=> (v90(constB20, 0) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, 0)))),
% 53.57/33.74 inference(rewrite,[status(thm)],[])).
% 53.57/33.74 tff(4327,plain,
% 53.57/33.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB20, constB21)) | v90(constB20, 0) | v100(constB21) | (~v90(constB21, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB20, 0) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, 0))))),
% 53.57/33.74 inference(monotonicity,[status(thm)],[4326])).
% 53.57/33.74 tff(4328,plain,
% 53.57/33.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB20, constB21)) | v90(constB20, 0) | v100(constB21) | (~v90(constB21, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB20, 0) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, 0)))),
% 53.57/33.74 inference(transitivity,[status(thm)],[4327, 4325])).
% 53.57/33.74 tff(4329,plain,
% 53.57/33.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB20, constB21)) | v90(constB20, 0) | v100(constB21) | (~v90(constB21, 0)))),
% 53.57/33.74 inference(quant_inst,[status(thm)],[])).
% 53.57/33.74 tff(4330,plain,
% 53.57/33.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB20, 0) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, 0))),
% 53.57/33.74 inference(modus_ponens,[status(thm)],[4329, 4328])).
% 53.57/33.74 tff(4331,plain,
% 53.57/33.74 (v90(constB20, 0) | v100(constB21) | (~v90(constB21, 0))),
% 53.57/33.74 inference(unit_resolution,[status(thm)],[4330, 947, 4244])).
% 53.57/33.74 tff(4332,plain,
% 53.57/33.74 (v90(constB20, 0) | (~v90(constB21, 0))),
% 53.57/33.74 inference(unit_resolution,[status(thm)],[4331, 4256])).
% 53.57/33.74 tff(4333,plain,
% 53.57/33.74 (~v90(constB21, 0)),
% 53.57/33.74 inference(unit_resolution,[status(thm)],[4332, 4324])).
% 53.57/33.74 tff(4334,plain,
% 53.57/33.74 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB21, 0) | v90(constB21, 1) | (~v90(constB21, 2)) | v123(constB21))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB21, 0) | v90(constB21, 1) | (~v90(constB21, 2)) | v123(constB21))),
% 53.57/33.74 inference(rewrite,[status(thm)],[])).
% 53.57/33.74 tff(4335,plain,
% 53.57/33.74 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB21, 0) | v90(constB21, 1) | (~v90(constB21, 2)) | v123(constB21))),
% 53.57/33.74 inference(quant_inst,[status(thm)],[])).
% 53.57/33.74 tff(4336,plain,
% 53.57/33.74 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB21, 0) | v90(constB21, 1) | (~v90(constB21, 2)) | v123(constB21)),
% 53.57/33.74 inference(modus_ponens,[status(thm)],[4335, 4334])).
% 53.57/33.74 tff(4337,plain,
% 53.57/33.74 (v123(constB21)),
% 53.57/33.74 inference(unit_resolution,[status(thm)],[4336, 2308, 4333, 4299, 4265])).
% 53.57/33.74 tff(4338,plain,
% 53.57/33.74 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB21) | (~v123(constB21)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB21) | (~v123(constB21)))),
% 53.57/33.74 inference(rewrite,[status(thm)],[])).
% 53.57/33.74 tff(4339,plain,
% 53.57/33.74 (((~v123(constB21)) | v115(constB21)) <=> (v115(constB21) | (~v123(constB21)))),
% 53.57/33.74 inference(rewrite,[status(thm)],[])).
% 53.57/33.74 tff(4340,plain,
% 53.57/33.74 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB21)) | v115(constB21))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB21) | (~v123(constB21))))),
% 53.57/33.74 inference(monotonicity,[status(thm)],[4339])).
% 53.57/33.74 tff(4341,plain,
% 53.57/33.74 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB21)) | v115(constB21))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB21) | (~v123(constB21)))),
% 53.57/33.74 inference(transitivity,[status(thm)],[4340, 4338])).
% 53.57/33.74 tff(4342,plain,
% 53.57/33.74 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB21)) | v115(constB21))),
% 53.57/33.74 inference(quant_inst,[status(thm)],[])).
% 53.57/33.74 tff(4343,plain,
% 53.57/33.74 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB21) | (~v123(constB21))),
% 53.57/33.74 inference(modus_ponens,[status(thm)],[4342, 4341])).
% 53.57/33.74 tff(4344,plain,
% 53.57/33.74 (v115(constB21)),
% 53.57/33.74 inference(unit_resolution,[status(thm)],[4343, 2291, 4337])).
% 53.57/33.74 tff(4345,plain,
% 53.57/33.74 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB21) | (~v115(constB21)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB21) | (~v115(constB21)))),
% 53.57/33.74 inference(rewrite,[status(thm)],[])).
% 53.57/33.74 tff(4346,plain,
% 53.57/33.74 (((~v115(constB21)) | v114(constB21)) <=> (v114(constB21) | (~v115(constB21)))),
% 53.57/33.74 inference(rewrite,[status(thm)],[])).
% 53.57/33.74 tff(4347,plain,
% 53.57/33.74 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB21)) | v114(constB21))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB21) | (~v115(constB21))))),
% 53.57/33.74 inference(monotonicity,[status(thm)],[4346])).
% 53.57/33.74 tff(4348,plain,
% 53.57/33.74 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB21)) | v114(constB21))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB21) | (~v115(constB21)))),
% 53.57/33.74 inference(transitivity,[status(thm)],[4347, 4345])).
% 53.57/33.74 tff(4349,plain,
% 53.57/33.74 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB21)) | v114(constB21))),
% 53.57/33.74 inference(quant_inst,[status(thm)],[])).
% 53.57/33.74 tff(4350,plain,
% 53.57/33.74 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB21) | (~v115(constB21))),
% 53.57/33.74 inference(modus_ponens,[status(thm)],[4349, 4348])).
% 53.57/33.74 tff(4351,plain,
% 53.57/33.74 (v114(constB21)),
% 53.57/33.74 inference(unit_resolution,[status(thm)],[4350, 1035, 4344])).
% 53.57/33.74 tff(4352,plain,
% 53.57/33.74 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB21) | (~v114(constB21)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB21) | (~v114(constB21)))),
% 53.57/33.74 inference(rewrite,[status(thm)],[])).
% 53.57/33.74 tff(4353,plain,
% 53.57/33.74 (((~v114(constB21)) | v113(constB21)) <=> (v113(constB21) | (~v114(constB21)))),
% 53.57/33.74 inference(rewrite,[status(thm)],[])).
% 53.57/33.74 tff(4354,plain,
% 53.57/33.74 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB21)) | v113(constB21))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB21) | (~v114(constB21))))),
% 53.57/33.74 inference(monotonicity,[status(thm)],[4353])).
% 53.57/33.74 tff(4355,plain,
% 53.57/33.74 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB21)) | v113(constB21))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB21) | (~v114(constB21)))),
% 53.57/33.74 inference(transitivity,[status(thm)],[4354, 4352])).
% 53.57/33.74 tff(4356,plain,
% 53.57/33.74 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB21)) | v113(constB21))),
% 53.57/33.74 inference(quant_inst,[status(thm)],[])).
% 53.57/33.74 tff(4357,plain,
% 53.57/33.74 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB21) | (~v114(constB21))),
% 53.57/33.74 inference(modus_ponens,[status(thm)],[4356, 4355])).
% 53.57/33.74 tff(4358,plain,
% 53.57/33.74 (v113(constB21)),
% 53.57/33.74 inference(unit_resolution,[status(thm)],[4357, 1049, 4351])).
% 53.57/33.74 tff(4359,assumption,(v26(constB21)), introduced(assumption)).
% 53.57/33.74 tff(4360,plain,
% 53.57/33.74 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB21))),
% 53.57/33.74 inference(quant_inst,[status(thm)],[])).
% 53.57/33.74 tff(4361,plain,
% 53.57/33.74 ($false),
% 53.57/33.74 inference(unit_resolution,[status(thm)],[4360, 828, 4359])).
% 53.57/33.74 tff(4362,plain,(~v26(constB21)), inference(lemma,lemma(discharge,[]))).
% 53.57/33.74 tff(4363,plain,
% 53.57/33.74 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB21) | v112(constB21) | (~v113(constB21)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB21) | v112(constB21) | (~v113(constB21)))),
% 53.57/33.74 inference(rewrite,[status(thm)],[])).
% 53.57/33.74 tff(4364,plain,
% 53.57/33.74 ((v26(constB21) | (~v113(constB21)) | v112(constB21)) <=> (v26(constB21) | v112(constB21) | (~v113(constB21)))),
% 53.57/33.74 inference(rewrite,[status(thm)],[])).
% 53.57/33.74 tff(4365,plain,
% 53.57/33.74 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB21) | (~v113(constB21)) | v112(constB21))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB21) | v112(constB21) | (~v113(constB21))))),
% 53.57/33.74 inference(monotonicity,[status(thm)],[4364])).
% 53.57/33.74 tff(4366,plain,
% 53.57/33.74 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB21) | (~v113(constB21)) | v112(constB21))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB21) | v112(constB21) | (~v113(constB21)))),
% 53.57/33.74 inference(transitivity,[status(thm)],[4365, 4363])).
% 53.57/33.74 tff(4367,plain,
% 53.57/33.74 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB21) | (~v113(constB21)) | v112(constB21))),
% 53.57/33.74 inference(quant_inst,[status(thm)],[])).
% 53.57/33.74 tff(4368,plain,
% 53.57/33.74 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB21) | v112(constB21) | (~v113(constB21))),
% 53.57/33.74 inference(modus_ponens,[status(thm)],[4367, 4366])).
% 53.57/33.74 tff(4369,plain,
% 53.57/33.74 (v112(constB21) | (~v113(constB21))),
% 53.57/33.74 inference(unit_resolution,[status(thm)],[4368, 1063, 4362])).
% 53.57/33.74 tff(4370,plain,
% 53.57/33.74 (v112(constB21)),
% 53.57/33.74 inference(unit_resolution,[status(thm)],[4369, 4358])).
% 53.57/33.74 tff(4371,plain,
% 53.57/33.74 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB21) | (~v112(constB21)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB21) | (~v112(constB21)))),
% 53.57/33.74 inference(rewrite,[status(thm)],[])).
% 53.57/33.74 tff(4372,plain,
% 53.57/33.74 (((~v112(constB21)) | v108(constB21)) <=> (v108(constB21) | (~v112(constB21)))),
% 53.57/33.74 inference(rewrite,[status(thm)],[])).
% 53.57/33.74 tff(4373,plain,
% 53.57/33.74 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB21)) | v108(constB21))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB21) | (~v112(constB21))))),
% 53.57/33.74 inference(monotonicity,[status(thm)],[4372])).
% 53.57/33.74 tff(4374,plain,
% 53.57/33.74 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB21)) | v108(constB21))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB21) | (~v112(constB21)))),
% 53.57/33.74 inference(transitivity,[status(thm)],[4373, 4371])).
% 53.57/33.74 tff(4375,plain,
% 53.57/33.74 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB21)) | v108(constB21))),
% 53.57/33.74 inference(quant_inst,[status(thm)],[])).
% 53.57/33.74 tff(4376,plain,
% 53.57/33.74 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB21) | (~v112(constB21))),
% 53.57/33.74 inference(modus_ponens,[status(thm)],[4375, 4374])).
% 53.57/33.74 tff(4377,plain,
% 53.57/33.74 (v108(constB21)),
% 53.57/33.74 inference(unit_resolution,[status(thm)],[4376, 1075, 4370])).
% 53.57/33.74 tff(4378,plain,
% 53.57/33.74 (nextState(constB21, constB22) <=> nextState(constB21, constB22)),
% 53.57/33.74 inference(rewrite,[status(thm)],[])).
% 53.57/33.74 tff(4379,axiom,(nextState(constB21, constB22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_21_1')).
% 53.57/33.74 tff(4380,plain,
% 53.57/33.74 (nextState(constB21, constB22)),
% 53.57/33.74 inference(modus_ponens,[status(thm)],[4379, 4378])).
% 53.57/33.74 tff(4381,plain,
% 53.57/33.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21)))),
% 53.57/33.74 inference(rewrite,[status(thm)],[])).
% 53.57/33.74 tff(4382,plain,
% 53.57/33.74 (((~nextState(constB21, constB22)) | (~v108(constB21)) | v110(constB22)) <=> ((~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21)))),
% 53.57/33.74 inference(rewrite,[status(thm)],[])).
% 53.57/33.74 tff(4383,plain,
% 53.57/33.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB21, constB22)) | (~v108(constB21)) | v110(constB22))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21))))),
% 53.57/33.74 inference(monotonicity,[status(thm)],[4382])).
% 53.57/33.74 tff(4384,plain,
% 53.57/33.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB21, constB22)) | (~v108(constB21)) | v110(constB22))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21)))),
% 53.57/33.74 inference(transitivity,[status(thm)],[4383, 4381])).
% 53.57/33.74 tff(4385,plain,
% 53.57/33.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB21, constB22)) | (~v108(constB21)) | v110(constB22))),
% 53.57/33.74 inference(quant_inst,[status(thm)],[])).
% 53.57/33.74 tff(4386,plain,
% 53.57/33.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB21, constB22)) | v110(constB22) | (~v108(constB21))),
% 53.57/33.74 inference(modus_ponens,[status(thm)],[4385, 4384])).
% 53.57/33.74 tff(4387,plain,
% 53.57/33.74 (v110(constB22) | (~v108(constB21))),
% 53.57/33.74 inference(unit_resolution,[status(thm)],[4386, 1095, 4380])).
% 53.57/33.74 tff(4388,plain,
% 53.57/33.74 (v110(constB22)),
% 53.57/33.74 inference(unit_resolution,[status(thm)],[4387, 4377])).
% 53.57/33.74 tff(4389,plain,
% 53.57/33.74 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB21) | (~nextState(constB21, constB22)) | (~v104(constB22)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB21) | (~nextState(constB21, constB22)) | (~v104(constB22)))),
% 53.57/33.74 inference(rewrite,[status(thm)],[])).
% 53.57/33.74 tff(4390,plain,
% 53.57/33.74 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB21) | (~nextState(constB21, constB22)) | (~v104(constB22)))),
% 53.57/33.74 inference(quant_inst,[status(thm)],[])).
% 53.57/33.74 tff(4391,plain,
% 53.57/33.74 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB21) | (~nextState(constB21, constB22)) | (~v104(constB22))),
% 53.57/33.74 inference(modus_ponens,[status(thm)],[4390, 4389])).
% 53.57/33.74 tff(4392,plain,
% 53.57/33.74 (~v104(constB22)),
% 53.57/33.74 inference(unit_resolution,[status(thm)],[4391, 1113, 4380, 4241])).
% 53.57/33.74 tff(4393,plain,
% 53.57/33.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB21, constB22)) | v102(constB22) | v104(constB22))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB21, constB22)) | v102(constB22) | v104(constB22))),
% 53.57/33.74 inference(rewrite,[status(thm)],[])).
% 53.57/33.74 tff(4394,plain,
% 53.57/33.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB21, constB22)) | v102(constB22) | v104(constB22))),
% 53.57/33.74 inference(quant_inst,[status(thm)],[])).
% 53.57/33.74 tff(4395,plain,
% 53.57/33.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB21, constB22)) | v102(constB22) | v104(constB22)),
% 53.57/33.74 inference(modus_ponens,[status(thm)],[4394, 4393])).
% 53.57/33.74 tff(4396,plain,
% 53.57/33.74 (v102(constB22) | v104(constB22)),
% 53.57/33.74 inference(unit_resolution,[status(thm)],[4395, 1127, 4380])).
% 53.57/33.74 tff(4397,plain,
% 53.57/33.74 (v102(constB22)),
% 53.57/33.74 inference(unit_resolution,[status(thm)],[4396, 4392])).
% 53.57/33.74 tff(4398,plain,
% 53.57/33.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB21, constB22)) | v101(constB22) | (~v102(constB22)) | (~v1(constB22)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB21, constB22)) | v101(constB22) | (~v102(constB22)) | (~v1(constB22)))),
% 53.57/33.74 inference(rewrite,[status(thm)],[])).
% 53.57/33.74 tff(4399,plain,
% 53.57/33.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB21, constB22)) | v101(constB22) | (~v102(constB22)) | (~v1(constB22)))),
% 53.57/33.74 inference(quant_inst,[status(thm)],[])).
% 53.57/33.74 tff(4400,plain,
% 53.57/33.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB21, constB22)) | v101(constB22) | (~v102(constB22)) | (~v1(constB22))),
% 53.57/33.74 inference(modus_ponens,[status(thm)],[4399, 4398])).
% 53.57/33.74 tff(4401,plain,
% 53.57/33.74 (v101(constB22) | (~v102(constB22))),
% 53.57/33.74 inference(unit_resolution,[status(thm)],[4400, 1145, 4380, 541])).
% 53.57/33.74 tff(4402,plain,
% 53.57/33.74 (v101(constB22)),
% 53.57/33.74 inference(unit_resolution,[status(thm)],[4401, 4397])).
% 53.57/33.74 tff(4403,plain,
% 53.57/33.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22)))),
% 53.57/33.75 inference(rewrite,[status(thm)],[])).
% 53.57/33.75 tff(4404,plain,
% 53.57/33.75 (((~nextState(constB21, constB22)) | (~v101(constB22)) | (~v110(constB22)) | v100(constB22)) <=> ((~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22)))),
% 53.57/33.75 inference(rewrite,[status(thm)],[])).
% 53.57/33.75 tff(4405,plain,
% 53.57/33.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB21, constB22)) | (~v101(constB22)) | (~v110(constB22)) | v100(constB22))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22))))),
% 53.57/33.75 inference(monotonicity,[status(thm)],[4404])).
% 53.57/33.75 tff(4406,plain,
% 53.57/33.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB21, constB22)) | (~v101(constB22)) | (~v110(constB22)) | v100(constB22))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22)))),
% 53.57/33.75 inference(transitivity,[status(thm)],[4405, 4403])).
% 53.57/33.75 tff(4407,plain,
% 53.57/33.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB21, constB22)) | (~v101(constB22)) | (~v110(constB22)) | v100(constB22))),
% 53.57/33.75 inference(quant_inst,[status(thm)],[])).
% 53.57/33.75 tff(4408,plain,
% 53.57/33.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB21, constB22)) | v100(constB22) | (~v101(constB22)) | (~v110(constB22))),
% 53.57/33.75 inference(modus_ponens,[status(thm)],[4407, 4406])).
% 53.57/33.75 tff(4409,plain,
% 53.57/33.75 (v100(constB22) | (~v101(constB22)) | (~v110(constB22))),
% 53.57/33.75 inference(unit_resolution,[status(thm)],[4408, 1160, 4380])).
% 53.57/33.75 tff(4410,plain,
% 53.57/33.75 (v100(constB22) | (~v110(constB22))),
% 53.57/33.75 inference(unit_resolution,[status(thm)],[4409, 4402])).
% 53.57/33.75 tff(4411,plain,
% 53.57/33.75 (v100(constB22)),
% 53.57/33.75 inference(unit_resolution,[status(thm)],[4410, 4388])).
% 53.57/33.75 tff(4412,plain,
% 53.57/33.75 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB21)) | v130(constB21, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB21)) | v130(constB21, 2))),
% 53.57/33.75 inference(rewrite,[status(thm)],[])).
% 53.57/33.75 tff(4413,plain,
% 53.57/33.75 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB21)) | v130(constB21, 2))),
% 53.57/33.75 inference(quant_inst,[status(thm)],[])).
% 53.57/33.75 tff(4414,plain,
% 53.57/33.75 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB21)) | v130(constB21, 2)),
% 53.57/33.75 inference(modus_ponens,[status(thm)],[4413, 4412])).
% 53.57/33.75 tff(4415,plain,
% 53.57/33.75 (v130(constB21, 2)),
% 53.57/33.75 inference(unit_resolution,[status(thm)],[4414, 2525, 4337])).
% 53.57/33.75 tff(4416,plain,
% 53.57/33.75 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB21) | (~v130(constB21, 2)) | v127(constB21, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB21) | (~v130(constB21, 2)) | v127(constB21, 2))),
% 53.57/33.75 inference(rewrite,[status(thm)],[])).
% 53.57/33.75 tff(4417,plain,
% 53.57/33.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB21) | (~v130(constB21, 2)) | v127(constB21, 2))),
% 53.57/33.75 inference(quant_inst,[status(thm)],[])).
% 53.57/33.75 tff(4418,plain,
% 53.57/33.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB21) | (~v130(constB21, 2)) | v127(constB21, 2)),
% 53.57/33.75 inference(modus_ponens,[status(thm)],[4417, 4416])).
% 53.57/33.75 tff(4419,plain,
% 53.57/33.75 ((~v130(constB21, 2)) | v127(constB21, 2)),
% 53.57/33.75 inference(unit_resolution,[status(thm)],[4418, 1981, 4362])).
% 53.57/33.75 tff(4420,plain,
% 53.57/33.75 (v127(constB21, 2)),
% 53.57/33.75 inference(unit_resolution,[status(thm)],[4419, 4415])).
% 53.57/33.75 tff(4421,plain,
% 53.57/33.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB21, constB22)) | (~v127(constB21, 2)) | v129(constB22, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB21, constB22)) | (~v127(constB21, 2)) | v129(constB22, 2))),
% 53.57/33.75 inference(rewrite,[status(thm)],[])).
% 53.57/33.75 tff(4422,plain,
% 53.57/33.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB21, constB22)) | (~v127(constB21, 2)) | v129(constB22, 2))),
% 53.57/33.75 inference(quant_inst,[status(thm)],[])).
% 53.57/33.75 tff(4423,plain,
% 53.57/33.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB21, constB22)) | (~v127(constB21, 2)) | v129(constB22, 2)),
% 53.57/33.75 inference(modus_ponens,[status(thm)],[4422, 4421])).
% 53.57/33.75 tff(4424,plain,
% 53.57/33.75 ((~v127(constB21, 2)) | v129(constB22, 2)),
% 53.57/33.75 inference(unit_resolution,[status(thm)],[4423, 1999, 4380])).
% 53.57/33.75 tff(4425,plain,
% 53.57/33.75 (v129(constB22, 2)),
% 53.57/33.75 inference(unit_resolution,[status(thm)],[4424, 4420])).
% 53.57/33.75 tff(4426,plain,
% 53.57/33.75 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB22, 2) | (~v129(constB22, 2)) | (~v100(constB22)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB22, 2) | (~v129(constB22, 2)) | (~v100(constB22)))),
% 53.57/33.75 inference(rewrite,[status(thm)],[])).
% 53.57/33.75 tff(4427,plain,
% 53.57/33.75 ((v90(constB22, 2) | (~v100(constB22)) | (~v129(constB22, 2))) <=> (v90(constB22, 2) | (~v129(constB22, 2)) | (~v100(constB22)))),
% 53.57/33.75 inference(rewrite,[status(thm)],[])).
% 53.57/33.75 tff(4428,plain,
% 53.57/33.75 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB22, 2) | (~v100(constB22)) | (~v129(constB22, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB22, 2) | (~v129(constB22, 2)) | (~v100(constB22))))),
% 53.57/33.75 inference(monotonicity,[status(thm)],[4427])).
% 53.57/33.75 tff(4429,plain,
% 53.57/33.75 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB22, 2) | (~v100(constB22)) | (~v129(constB22, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB22, 2) | (~v129(constB22, 2)) | (~v100(constB22)))),
% 53.57/33.75 inference(transitivity,[status(thm)],[4428, 4426])).
% 53.57/33.75 tff(4430,plain,
% 53.57/33.75 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB22, 2) | (~v100(constB22)) | (~v129(constB22, 2)))),
% 53.57/33.75 inference(quant_inst,[status(thm)],[])).
% 53.57/33.75 tff(4431,plain,
% 53.57/33.75 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB22, 2) | (~v129(constB22, 2)) | (~v100(constB22))),
% 53.57/33.75 inference(modus_ponens,[status(thm)],[4430, 4429])).
% 53.57/33.75 tff(4432,plain,
% 53.57/33.75 (v90(constB22, 2) | (~v100(constB22))),
% 53.57/33.75 inference(unit_resolution,[status(thm)],[4431, 2324, 4425])).
% 53.57/33.75 tff(4433,plain,
% 53.57/33.75 (v90(constB22, 2)),
% 53.57/33.75 inference(unit_resolution,[status(thm)],[4432, 4411])).
% 53.57/33.75 tff(4434,plain,
% 53.57/33.75 ((~v1(constB23)) <=> (~v1(constB23))),
% 53.57/33.75 inference(rewrite,[status(thm)],[])).
% 53.57/33.75 tff(4435,axiom,(~v1(constB23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_23_1_1')).
% 53.57/33.75 tff(4436,plain,
% 53.57/33.75 (~v1(constB23)),
% 53.57/33.75 inference(modus_ponens,[status(thm)],[4435, 4434])).
% 53.57/33.75 tff(4437,plain,
% 53.57/33.75 (nextState(constB22, constB23) <=> nextState(constB22, constB23)),
% 53.57/33.75 inference(rewrite,[status(thm)],[])).
% 53.57/33.75 tff(4438,axiom,(nextState(constB22, constB23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_22_1')).
% 53.57/33.75 tff(4439,plain,
% 53.57/33.75 (nextState(constB22, constB23)),
% 53.57/33.75 inference(modus_ponens,[status(thm)],[4438, 4437])).
% 53.57/33.75 tff(4440,plain,
% 53.57/33.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23)))),
% 53.57/33.75 inference(rewrite,[status(thm)],[])).
% 53.57/33.75 tff(4441,plain,
% 53.57/33.75 (((~nextState(constB22, constB23)) | (~v101(constB23)) | v1(constB23)) <=> (v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23)))),
% 53.57/33.75 inference(rewrite,[status(thm)],[])).
% 53.57/33.75 tff(4442,plain,
% 53.57/33.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB22, constB23)) | (~v101(constB23)) | v1(constB23))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23))))),
% 53.57/33.75 inference(monotonicity,[status(thm)],[4441])).
% 53.57/33.75 tff(4443,plain,
% 53.57/33.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB22, constB23)) | (~v101(constB23)) | v1(constB23))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23)))),
% 53.57/33.75 inference(transitivity,[status(thm)],[4442, 4440])).
% 53.57/33.75 tff(4444,plain,
% 53.57/33.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB22, constB23)) | (~v101(constB23)) | v1(constB23))),
% 53.57/33.75 inference(quant_inst,[status(thm)],[])).
% 53.57/33.75 tff(4445,plain,
% 53.57/33.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB23) | (~nextState(constB22, constB23)) | (~v101(constB23))),
% 53.57/33.75 inference(modus_ponens,[status(thm)],[4444, 4443])).
% 53.57/33.75 tff(4446,plain,
% 53.57/33.75 (~v101(constB23)),
% 53.57/33.75 inference(unit_resolution,[status(thm)],[4445, 873, 4439, 4436])).
% 53.57/33.75 tff(4447,plain,
% 53.57/33.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB22, constB23)) | v101(constB23) | (~v100(constB23)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB22, constB23)) | v101(constB23) | (~v100(constB23)))),
% 53.57/33.75 inference(rewrite,[status(thm)],[])).
% 53.57/33.75 tff(4448,plain,
% 53.57/33.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB22, constB23)) | v101(constB23) | (~v100(constB23)))),
% 53.57/33.75 inference(quant_inst,[status(thm)],[])).
% 53.57/33.75 tff(4449,plain,
% 53.57/33.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB22, constB23)) | v101(constB23) | (~v100(constB23))),
% 53.57/33.75 inference(modus_ponens,[status(thm)],[4448, 4447])).
% 53.57/33.75 tff(4450,plain,
% 53.57/33.75 (v101(constB23) | (~v100(constB23))),
% 53.57/33.75 inference(unit_resolution,[status(thm)],[4449, 890, 4439])).
% 53.57/33.75 tff(4451,plain,
% 53.57/33.75 (~v100(constB23)),
% 53.57/33.75 inference(unit_resolution,[status(thm)],[4450, 4446])).
% 53.57/33.75 tff(4452,plain,
% 53.57/33.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB22, 2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB22, 2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 2))),
% 53.57/33.75 inference(rewrite,[status(thm)],[])).
% 53.57/33.75 tff(4453,plain,
% 53.57/33.75 (((~nextState(constB22, constB23)) | (~v90(constB22, 2)) | v100(constB23) | v90(constB23, 2)) <=> ((~v90(constB22, 2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 2))),
% 53.57/33.75 inference(rewrite,[status(thm)],[])).
% 53.57/33.75 tff(4454,plain,
% 53.57/33.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB22, constB23)) | (~v90(constB22, 2)) | v100(constB23) | v90(constB23, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB22, 2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 2)))),
% 53.57/33.75 inference(monotonicity,[status(thm)],[4453])).
% 53.57/33.75 tff(4455,plain,
% 53.57/33.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB22, constB23)) | (~v90(constB22, 2)) | v100(constB23) | v90(constB23, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB22, 2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 2))),
% 53.57/33.75 inference(transitivity,[status(thm)],[4454, 4452])).
% 53.57/33.75 tff(4456,plain,
% 53.57/33.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB22, constB23)) | (~v90(constB22, 2)) | v100(constB23) | v90(constB23, 2))),
% 53.57/33.75 inference(quant_inst,[status(thm)],[])).
% 53.57/33.75 tff(4457,plain,
% 53.57/33.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB22, 2)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 2)),
% 53.57/33.75 inference(modus_ponens,[status(thm)],[4456, 4455])).
% 53.57/33.75 tff(4458,plain,
% 53.57/33.75 ((~v90(constB22, 2)) | v100(constB23) | v90(constB23, 2)),
% 53.57/33.75 inference(unit_resolution,[status(thm)],[4457, 2174, 4439])).
% 53.57/33.75 tff(4459,plain,
% 53.57/33.75 ((~v90(constB22, 2)) | v90(constB23, 2)),
% 53.57/33.75 inference(unit_resolution,[status(thm)],[4458, 4451])).
% 53.57/33.75 tff(4460,plain,
% 53.57/33.75 (v90(constB23, 2)),
% 53.57/33.75 inference(unit_resolution,[status(thm)],[4459, 4433])).
% 53.57/33.75 tff(4461,plain,
% 53.57/33.75 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB21)) | (~v130(constB21, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB21)) | (~v130(constB21, 1)))),
% 53.57/33.75 inference(rewrite,[status(thm)],[])).
% 53.57/33.75 tff(4462,plain,
% 53.57/33.75 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB21)) | (~v130(constB21, 1)))),
% 53.57/33.75 inference(quant_inst,[status(thm)],[])).
% 53.57/33.75 tff(4463,plain,
% 53.57/33.75 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB21)) | (~v130(constB21, 1))),
% 53.57/33.75 inference(modus_ponens,[status(thm)],[4462, 4461])).
% 53.57/33.75 tff(4464,plain,
% 53.57/33.75 (~v130(constB21, 1)),
% 53.57/33.75 inference(unit_resolution,[status(thm)],[4463, 2581, 4337])).
% 53.57/33.75 tff(4465,plain,
% 53.57/33.75 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB21, 1)) | v26(constB21) | v130(constB21, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB21, 1)) | v26(constB21) | v130(constB21, 1))),
% 53.57/33.75 inference(rewrite,[status(thm)],[])).
% 53.57/33.75 tff(4466,plain,
% 53.57/33.75 ((v26(constB21) | v130(constB21, 1) | (~v127(constB21, 1))) <=> ((~v127(constB21, 1)) | v26(constB21) | v130(constB21, 1))),
% 53.57/33.75 inference(rewrite,[status(thm)],[])).
% 53.57/33.75 tff(4467,plain,
% 53.57/33.75 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB21) | v130(constB21, 1) | (~v127(constB21, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB21, 1)) | v26(constB21) | v130(constB21, 1)))),
% 53.57/33.75 inference(monotonicity,[status(thm)],[4466])).
% 53.57/33.75 tff(4468,plain,
% 53.57/33.75 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB21) | v130(constB21, 1) | (~v127(constB21, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB21, 1)) | v26(constB21) | v130(constB21, 1))),
% 53.57/33.75 inference(transitivity,[status(thm)],[4467, 4465])).
% 53.57/33.75 tff(4469,plain,
% 53.57/33.75 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB21) | v130(constB21, 1) | (~v127(constB21, 1)))),
% 53.57/33.75 inference(quant_inst,[status(thm)],[])).
% 53.57/33.75 tff(4470,plain,
% 53.57/33.75 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB21, 1)) | v26(constB21) | v130(constB21, 1)),
% 53.57/33.75 inference(modus_ponens,[status(thm)],[4469, 4468])).
% 53.57/33.75 tff(4471,plain,
% 53.57/33.75 ((~v127(constB21, 1)) | v130(constB21, 1)),
% 53.57/33.75 inference(unit_resolution,[status(thm)],[4470, 1276, 4362])).
% 53.57/33.75 tff(4472,plain,
% 53.57/33.75 (~v127(constB21, 1)),
% 53.57/33.75 inference(unit_resolution,[status(thm)],[4471, 4464])).
% 53.57/33.75 tff(4473,plain,
% 53.57/33.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB21, constB22)) | v127(constB21, 1) | (~v129(constB22, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB21, constB22)) | v127(constB21, 1) | (~v129(constB22, 1)))),
% 53.57/33.75 inference(rewrite,[status(thm)],[])).
% 53.57/33.75 tff(4474,plain,
% 53.57/33.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB21, constB22)) | v127(constB21, 1) | (~v129(constB22, 1)))),
% 53.57/33.75 inference(quant_inst,[status(thm)],[])).
% 53.57/33.75 tff(4475,plain,
% 53.57/33.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB21, constB22)) | v127(constB21, 1) | (~v129(constB22, 1))),
% 53.57/33.75 inference(modus_ponens,[status(thm)],[4474, 4473])).
% 53.57/33.75 tff(4476,plain,
% 53.57/33.75 (v127(constB21, 1) | (~v129(constB22, 1))),
% 53.57/33.75 inference(unit_resolution,[status(thm)],[4475, 1294, 4380])).
% 53.57/33.75 tff(4477,plain,
% 53.57/33.75 (~v129(constB22, 1)),
% 53.57/33.75 inference(unit_resolution,[status(thm)],[4476, 4472])).
% 53.57/33.75 tff(4478,plain,
% 53.57/33.75 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB22, 1)) | v129(constB22, 1) | (~v100(constB22)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB22, 1)) | v129(constB22, 1) | (~v100(constB22)))),
% 53.57/33.75 inference(rewrite,[status(thm)],[])).
% 53.57/33.75 tff(4479,plain,
% 53.57/33.75 (((~v90(constB22, 1)) | (~v100(constB22)) | v129(constB22, 1)) <=> ((~v90(constB22, 1)) | v129(constB22, 1) | (~v100(constB22)))),
% 53.57/33.75 inference(rewrite,[status(thm)],[])).
% 53.57/33.75 tff(4480,plain,
% 53.57/33.75 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB22, 1)) | (~v100(constB22)) | v129(constB22, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB22, 1)) | v129(constB22, 1) | (~v100(constB22))))),
% 53.57/33.75 inference(monotonicity,[status(thm)],[4479])).
% 53.57/33.75 tff(4481,plain,
% 53.57/33.75 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB22, 1)) | (~v100(constB22)) | v129(constB22, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB22, 1)) | v129(constB22, 1) | (~v100(constB22)))),
% 53.57/33.75 inference(transitivity,[status(thm)],[4480, 4478])).
% 53.57/33.75 tff(4482,plain,
% 53.57/33.75 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB22, 1)) | (~v100(constB22)) | v129(constB22, 1))),
% 53.57/33.75 inference(quant_inst,[status(thm)],[])).
% 53.57/33.75 tff(4483,plain,
% 53.57/33.75 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB22, 1)) | v129(constB22, 1) | (~v100(constB22))),
% 53.57/33.75 inference(modus_ponens,[status(thm)],[4482, 4481])).
% 53.57/33.75 tff(4484,plain,
% 53.57/33.75 ((~v90(constB22, 1)) | (~v100(constB22))),
% 53.57/33.75 inference(unit_resolution,[status(thm)],[4483, 1309, 4477])).
% 53.57/33.75 tff(4485,plain,
% 53.57/33.75 (~v90(constB22, 1)),
% 53.57/33.75 inference(unit_resolution,[status(thm)],[4484, 4411])).
% 53.57/33.75 tff(4486,plain,
% 53.57/33.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB22, 1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB22, 1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 1)))),
% 53.57/33.75 inference(rewrite,[status(thm)],[])).
% 53.57/33.75 tff(4487,plain,
% 53.57/33.75 (((~nextState(constB22, constB23)) | v90(constB22, 1) | v100(constB23) | (~v90(constB23, 1))) <=> (v90(constB22, 1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 1)))),
% 53.57/33.75 inference(rewrite,[status(thm)],[])).
% 53.57/33.75 tff(4488,plain,
% 53.57/33.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB22, constB23)) | v90(constB22, 1) | v100(constB23) | (~v90(constB23, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB22, 1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 1))))),
% 53.57/33.75 inference(monotonicity,[status(thm)],[4487])).
% 53.57/33.75 tff(4489,plain,
% 53.57/33.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB22, constB23)) | v90(constB22, 1) | v100(constB23) | (~v90(constB23, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB22, 1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 1)))),
% 53.57/33.75 inference(transitivity,[status(thm)],[4488, 4486])).
% 53.57/33.75 tff(4490,plain,
% 53.57/33.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB22, constB23)) | v90(constB22, 1) | v100(constB23) | (~v90(constB23, 1)))),
% 53.57/33.75 inference(quant_inst,[status(thm)],[])).
% 53.57/33.75 tff(4491,plain,
% 53.57/33.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB22, 1) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 1))),
% 53.57/33.75 inference(modus_ponens,[status(thm)],[4490, 4489])).
% 53.57/33.75 tff(4492,plain,
% 53.57/33.75 (v90(constB22, 1) | v100(constB23) | (~v90(constB23, 1))),
% 53.57/33.75 inference(unit_resolution,[status(thm)],[4491, 926, 4439])).
% 53.57/33.75 tff(4493,plain,
% 53.57/33.75 (v90(constB22, 1) | (~v90(constB23, 1))),
% 53.57/33.75 inference(unit_resolution,[status(thm)],[4492, 4451])).
% 53.57/33.75 tff(4494,plain,
% 53.57/33.75 (~v90(constB23, 1)),
% 53.57/33.75 inference(unit_resolution,[status(thm)],[4493, 4485])).
% 53.57/33.75 tff(4495,plain,
% 53.57/33.75 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB21)) | v130(constB21, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB21)) | v130(constB21, 0))),
% 53.57/33.75 inference(rewrite,[status(thm)],[])).
% 53.57/33.75 tff(4496,plain,
% 53.57/33.75 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB21)) | v130(constB21, 0))),
% 53.57/33.75 inference(quant_inst,[status(thm)],[])).
% 53.57/33.75 tff(4497,plain,
% 53.57/33.75 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB21)) | v130(constB21, 0)),
% 53.57/33.75 inference(modus_ponens,[status(thm)],[4496, 4495])).
% 53.57/33.75 tff(4498,plain,
% 53.57/33.75 (v130(constB21, 0)),
% 53.57/33.75 inference(unit_resolution,[status(thm)],[4497, 2622, 4337])).
% 53.57/33.75 tff(4499,plain,
% 53.57/33.75 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB21) | (~v130(constB21, 0)) | v127(constB21, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB21) | (~v130(constB21, 0)) | v127(constB21, 0))),
% 53.57/33.75 inference(rewrite,[status(thm)],[])).
% 53.57/33.75 tff(4500,plain,
% 53.57/33.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB21) | (~v130(constB21, 0)) | v127(constB21, 0))),
% 53.57/33.75 inference(quant_inst,[status(thm)],[])).
% 53.57/33.75 tff(4501,plain,
% 53.57/33.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB21) | (~v130(constB21, 0)) | v127(constB21, 0)),
% 53.57/33.75 inference(modus_ponens,[status(thm)],[4500, 4499])).
% 53.57/33.75 tff(4502,plain,
% 53.57/33.75 ((~v130(constB21, 0)) | v127(constB21, 0)),
% 53.57/33.75 inference(unit_resolution,[status(thm)],[4501, 1347, 4362])).
% 53.57/33.75 tff(4503,plain,
% 53.57/33.75 (v127(constB21, 0)),
% 53.57/33.75 inference(unit_resolution,[status(thm)],[4502, 4498])).
% 53.57/33.75 tff(4504,plain,
% 53.57/33.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB21, constB22)) | (~v127(constB21, 0)) | v129(constB22, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB21, constB22)) | (~v127(constB21, 0)) | v129(constB22, 0))),
% 53.57/33.75 inference(rewrite,[status(thm)],[])).
% 53.57/33.75 tff(4505,plain,
% 53.57/33.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB21, constB22)) | (~v127(constB21, 0)) | v129(constB22, 0))),
% 53.57/33.75 inference(quant_inst,[status(thm)],[])).
% 53.57/33.75 tff(4506,plain,
% 53.57/33.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB21, constB22)) | (~v127(constB21, 0)) | v129(constB22, 0)),
% 53.57/33.75 inference(modus_ponens,[status(thm)],[4505, 4504])).
% 53.57/33.75 tff(4507,plain,
% 53.57/33.75 ((~v127(constB21, 0)) | v129(constB22, 0)),
% 53.57/33.75 inference(unit_resolution,[status(thm)],[4506, 1362, 4380])).
% 53.57/33.75 tff(4508,plain,
% 53.57/33.75 (v129(constB22, 0)),
% 53.57/33.75 inference(unit_resolution,[status(thm)],[4507, 4503])).
% 53.57/33.75 tff(4509,plain,
% 53.57/33.75 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB22, 0) | (~v129(constB22, 0)) | (~v100(constB22)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB22, 0) | (~v129(constB22, 0)) | (~v100(constB22)))),
% 53.57/33.75 inference(rewrite,[status(thm)],[])).
% 53.57/33.75 tff(4510,plain,
% 53.57/33.75 ((v90(constB22, 0) | (~v100(constB22)) | (~v129(constB22, 0))) <=> (v90(constB22, 0) | (~v129(constB22, 0)) | (~v100(constB22)))),
% 53.57/33.75 inference(rewrite,[status(thm)],[])).
% 53.57/33.75 tff(4511,plain,
% 53.57/33.75 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB22, 0) | (~v100(constB22)) | (~v129(constB22, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB22, 0) | (~v129(constB22, 0)) | (~v100(constB22))))),
% 53.57/33.75 inference(monotonicity,[status(thm)],[4510])).
% 53.57/33.75 tff(4512,plain,
% 53.57/33.75 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB22, 0) | (~v100(constB22)) | (~v129(constB22, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB22, 0) | (~v129(constB22, 0)) | (~v100(constB22)))),
% 53.57/33.75 inference(transitivity,[status(thm)],[4511, 4509])).
% 53.57/33.75 tff(4513,plain,
% 53.57/33.75 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB22, 0) | (~v100(constB22)) | (~v129(constB22, 0)))),
% 53.57/33.75 inference(quant_inst,[status(thm)],[])).
% 53.57/33.75 tff(4514,plain,
% 53.57/33.75 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB22, 0) | (~v129(constB22, 0)) | (~v100(constB22))),
% 53.57/33.75 inference(modus_ponens,[status(thm)],[4513, 4512])).
% 53.57/33.75 tff(4515,plain,
% 53.57/33.75 (v90(constB22, 0) | (~v100(constB22))),
% 53.57/33.75 inference(unit_resolution,[status(thm)],[4514, 1377, 4508])).
% 53.57/33.75 tff(4516,plain,
% 53.57/33.75 (v90(constB22, 0)),
% 53.57/33.75 inference(unit_resolution,[status(thm)],[4515, 4411])).
% 53.57/33.75 tff(4517,plain,
% 53.57/33.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB22, 0)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB22, 0)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 0))),
% 53.57/33.75 inference(rewrite,[status(thm)],[])).
% 53.57/33.75 tff(4518,plain,
% 53.57/33.75 (((~nextState(constB22, constB23)) | (~v90(constB22, 0)) | v100(constB23) | v90(constB23, 0)) <=> ((~v90(constB22, 0)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 0))),
% 53.57/33.75 inference(rewrite,[status(thm)],[])).
% 53.57/33.75 tff(4519,plain,
% 53.57/33.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB22, constB23)) | (~v90(constB22, 0)) | v100(constB23) | v90(constB23, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB22, 0)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 0)))),
% 53.57/33.75 inference(monotonicity,[status(thm)],[4518])).
% 53.57/33.75 tff(4520,plain,
% 53.57/33.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB22, constB23)) | (~v90(constB22, 0)) | v100(constB23) | v90(constB23, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB22, 0)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 0))),
% 53.57/33.75 inference(transitivity,[status(thm)],[4519, 4517])).
% 53.57/33.75 tff(4521,plain,
% 53.57/33.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB22, constB23)) | (~v90(constB22, 0)) | v100(constB23) | v90(constB23, 0))),
% 53.57/33.75 inference(quant_inst,[status(thm)],[])).
% 53.57/33.75 tff(4522,plain,
% 53.57/33.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB22, 0)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 0)),
% 53.57/33.75 inference(modus_ponens,[status(thm)],[4521, 4520])).
% 53.57/33.75 tff(4523,plain,
% 53.57/33.75 ((~v90(constB22, 0)) | v100(constB23) | v90(constB23, 0)),
% 53.57/33.75 inference(unit_resolution,[status(thm)],[4522, 1395, 4439])).
% 53.57/33.75 tff(4524,plain,
% 53.57/33.75 ((~v90(constB22, 0)) | v90(constB23, 0)),
% 53.57/33.75 inference(unit_resolution,[status(thm)],[4523, 4451])).
% 53.57/33.75 tff(4525,plain,
% 53.57/33.75 (v90(constB23, 0)),
% 53.57/33.75 inference(unit_resolution,[status(thm)],[4524, 4516])).
% 53.57/33.75 tff(4526,plain,
% 53.57/33.75 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB23, 0)) | v90(constB23, 1) | (~v90(constB23, 2)) | v124(constB23))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB23, 0)) | v90(constB23, 1) | (~v90(constB23, 2)) | v124(constB23))),
% 53.57/33.75 inference(rewrite,[status(thm)],[])).
% 53.57/33.75 tff(4527,plain,
% 53.57/33.75 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB23, 0)) | v90(constB23, 1) | (~v90(constB23, 2)) | v124(constB23))),
% 53.57/33.75 inference(quant_inst,[status(thm)],[])).
% 53.57/33.75 tff(4528,plain,
% 53.57/33.75 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB23, 0)) | v90(constB23, 1) | (~v90(constB23, 2)) | v124(constB23)),
% 53.57/33.75 inference(modus_ponens,[status(thm)],[4527, 4526])).
% 53.57/33.75 tff(4529,plain,
% 53.57/33.75 (v124(constB23)),
% 53.57/33.75 inference(unit_resolution,[status(thm)],[4528, 2663, 4525, 4494, 4460])).
% 53.57/33.75 tff(4530,plain,
% 53.57/33.75 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB23)) | v114(constB23))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB23)) | v114(constB23))),
% 53.57/33.75 inference(rewrite,[status(thm)],[])).
% 53.57/33.75 tff(4531,plain,
% 53.57/33.75 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB23)) | v114(constB23))),
% 53.57/33.75 inference(quant_inst,[status(thm)],[])).
% 53.57/33.75 tff(4532,plain,
% 53.57/33.75 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB23)) | v114(constB23)),
% 53.57/33.75 inference(modus_ponens,[status(thm)],[4531, 4530])).
% 53.57/33.75 tff(4533,plain,
% 53.57/33.75 (v114(constB23)),
% 53.57/33.75 inference(unit_resolution,[status(thm)],[4532, 2674, 4529])).
% 53.57/33.75 tff(4534,plain,
% 53.57/33.75 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB23) | (~v114(constB23)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB23) | (~v114(constB23)))),
% 53.57/33.75 inference(rewrite,[status(thm)],[])).
% 53.57/33.75 tff(4535,plain,
% 53.57/33.75 (((~v114(constB23)) | v113(constB23)) <=> (v113(constB23) | (~v114(constB23)))),
% 53.57/33.75 inference(rewrite,[status(thm)],[])).
% 53.57/33.75 tff(4536,plain,
% 53.57/33.75 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB23)) | v113(constB23))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB23) | (~v114(constB23))))),
% 53.57/33.75 inference(monotonicity,[status(thm)],[4535])).
% 53.57/33.75 tff(4537,plain,
% 53.57/33.75 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB23)) | v113(constB23))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB23) | (~v114(constB23)))),
% 53.57/33.75 inference(transitivity,[status(thm)],[4536, 4534])).
% 53.57/33.75 tff(4538,plain,
% 53.57/33.75 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB23)) | v113(constB23))),
% 53.57/33.75 inference(quant_inst,[status(thm)],[])).
% 53.57/33.75 tff(4539,plain,
% 53.57/33.75 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB23) | (~v114(constB23))),
% 53.57/33.75 inference(modus_ponens,[status(thm)],[4538, 4537])).
% 53.57/33.75 tff(4540,plain,
% 53.57/33.75 (v113(constB23)),
% 53.57/33.75 inference(unit_resolution,[status(thm)],[4539, 1049, 4533])).
% 53.57/33.75 tff(4541,assumption,(v26(constB23)), introduced(assumption)).
% 53.57/33.75 tff(4542,plain,
% 53.57/33.75 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB23))),
% 53.57/33.75 inference(quant_inst,[status(thm)],[])).
% 53.57/33.75 tff(4543,plain,
% 53.57/33.75 ($false),
% 53.57/33.75 inference(unit_resolution,[status(thm)],[4542, 828, 4541])).
% 53.57/33.75 tff(4544,plain,(~v26(constB23)), inference(lemma,lemma(discharge,[]))).
% 53.57/33.75 tff(4545,plain,
% 53.57/33.75 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB23) | v112(constB23) | (~v113(constB23)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB23) | v112(constB23) | (~v113(constB23)))),
% 53.57/33.75 inference(rewrite,[status(thm)],[])).
% 53.57/33.75 tff(4546,plain,
% 53.57/33.75 ((v26(constB23) | (~v113(constB23)) | v112(constB23)) <=> (v26(constB23) | v112(constB23) | (~v113(constB23)))),
% 53.57/33.75 inference(rewrite,[status(thm)],[])).
% 53.57/33.75 tff(4547,plain,
% 53.57/33.75 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB23) | (~v113(constB23)) | v112(constB23))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB23) | v112(constB23) | (~v113(constB23))))),
% 53.57/33.75 inference(monotonicity,[status(thm)],[4546])).
% 53.57/33.75 tff(4548,plain,
% 53.57/33.75 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB23) | (~v113(constB23)) | v112(constB23))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB23) | v112(constB23) | (~v113(constB23)))),
% 53.57/33.75 inference(transitivity,[status(thm)],[4547, 4545])).
% 53.57/33.75 tff(4549,plain,
% 53.57/33.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB23) | (~v113(constB23)) | v112(constB23))),
% 53.57/33.75 inference(quant_inst,[status(thm)],[])).
% 53.57/33.75 tff(4550,plain,
% 53.57/33.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB23) | v112(constB23) | (~v113(constB23))),
% 53.57/33.75 inference(modus_ponens,[status(thm)],[4549, 4548])).
% 53.57/33.75 tff(4551,plain,
% 53.57/33.75 (v112(constB23) | (~v113(constB23))),
% 53.57/33.75 inference(unit_resolution,[status(thm)],[4550, 1063, 4544])).
% 53.57/33.75 tff(4552,plain,
% 53.57/33.75 (v112(constB23)),
% 53.57/33.75 inference(unit_resolution,[status(thm)],[4551, 4540])).
% 53.57/33.75 tff(4553,plain,
% 53.57/33.75 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB23) | (~v112(constB23)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB23) | (~v112(constB23)))),
% 53.57/33.75 inference(rewrite,[status(thm)],[])).
% 53.57/33.75 tff(4554,plain,
% 53.57/33.75 (((~v112(constB23)) | v108(constB23)) <=> (v108(constB23) | (~v112(constB23)))),
% 53.57/33.75 inference(rewrite,[status(thm)],[])).
% 53.57/33.75 tff(4555,plain,
% 53.57/33.75 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB23)) | v108(constB23))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB23) | (~v112(constB23))))),
% 53.57/33.75 inference(monotonicity,[status(thm)],[4554])).
% 53.57/33.75 tff(4556,plain,
% 53.57/33.75 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB23)) | v108(constB23))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB23) | (~v112(constB23)))),
% 53.57/33.75 inference(transitivity,[status(thm)],[4555, 4553])).
% 53.57/33.75 tff(4557,plain,
% 53.57/33.75 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB23)) | v108(constB23))),
% 53.57/33.75 inference(quant_inst,[status(thm)],[])).
% 53.57/33.75 tff(4558,plain,
% 53.57/33.75 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB23) | (~v112(constB23))),
% 53.57/33.75 inference(modus_ponens,[status(thm)],[4557, 4556])).
% 53.57/33.75 tff(4559,plain,
% 53.57/33.75 (v108(constB23)),
% 53.57/33.75 inference(unit_resolution,[status(thm)],[4558, 1075, 4552])).
% 53.57/33.75 tff(4560,plain,
% 53.57/33.75 (nextState(constB23, constB24) <=> nextState(constB23, constB24)),
% 53.57/33.75 inference(rewrite,[status(thm)],[])).
% 53.57/33.75 tff(4561,axiom,(nextState(constB23, constB24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_23_1')).
% 53.57/33.75 tff(4562,plain,
% 53.57/33.75 (nextState(constB23, constB24)),
% 53.57/33.75 inference(modus_ponens,[status(thm)],[4561, 4560])).
% 53.57/33.75 tff(4563,plain,
% 53.57/33.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23)))),
% 53.57/33.75 inference(rewrite,[status(thm)],[])).
% 53.57/33.75 tff(4564,plain,
% 53.57/33.75 (((~nextState(constB23, constB24)) | (~v108(constB23)) | v110(constB24)) <=> ((~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23)))),
% 53.57/33.75 inference(rewrite,[status(thm)],[])).
% 53.57/33.75 tff(4565,plain,
% 53.57/33.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB23, constB24)) | (~v108(constB23)) | v110(constB24))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23))))),
% 53.57/33.75 inference(monotonicity,[status(thm)],[4564])).
% 53.57/33.75 tff(4566,plain,
% 53.57/33.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB23, constB24)) | (~v108(constB23)) | v110(constB24))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23)))),
% 53.57/33.75 inference(transitivity,[status(thm)],[4565, 4563])).
% 53.57/33.75 tff(4567,plain,
% 53.57/33.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB23, constB24)) | (~v108(constB23)) | v110(constB24))),
% 53.57/33.75 inference(quant_inst,[status(thm)],[])).
% 53.57/33.75 tff(4568,plain,
% 53.57/33.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB23, constB24)) | v110(constB24) | (~v108(constB23))),
% 53.57/33.75 inference(modus_ponens,[status(thm)],[4567, 4566])).
% 53.57/33.75 tff(4569,plain,
% 53.57/33.75 (v110(constB24) | (~v108(constB23))),
% 53.57/33.75 inference(unit_resolution,[status(thm)],[4568, 1095, 4562])).
% 53.57/33.75 tff(4570,plain,
% 53.57/33.75 (v110(constB24)),
% 53.57/33.75 inference(unit_resolution,[status(thm)],[4569, 4559])).
% 53.57/33.75 tff(4571,plain,
% 53.57/33.75 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB23) | (~nextState(constB23, constB24)) | (~v104(constB24)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB23) | (~nextState(constB23, constB24)) | (~v104(constB24)))),
% 53.57/33.75 inference(rewrite,[status(thm)],[])).
% 53.57/33.75 tff(4572,plain,
% 53.57/33.75 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB23) | (~nextState(constB23, constB24)) | (~v104(constB24)))),
% 53.57/33.75 inference(quant_inst,[status(thm)],[])).
% 53.57/33.75 tff(4573,plain,
% 53.57/33.75 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB23) | (~nextState(constB23, constB24)) | (~v104(constB24))),
% 53.57/33.75 inference(modus_ponens,[status(thm)],[4572, 4571])).
% 53.57/33.75 tff(4574,plain,
% 53.57/33.75 (~v104(constB24)),
% 53.57/33.75 inference(unit_resolution,[status(thm)],[4573, 1113, 4562, 4436])).
% 53.57/33.75 tff(4575,plain,
% 53.57/33.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB23, constB24)) | v102(constB24) | v104(constB24))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB23, constB24)) | v102(constB24) | v104(constB24))),
% 53.57/33.75 inference(rewrite,[status(thm)],[])).
% 53.57/33.75 tff(4576,plain,
% 53.57/33.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB23, constB24)) | v102(constB24) | v104(constB24))),
% 53.57/33.75 inference(quant_inst,[status(thm)],[])).
% 53.57/33.75 tff(4577,plain,
% 53.57/33.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB23, constB24)) | v102(constB24) | v104(constB24)),
% 53.57/33.75 inference(modus_ponens,[status(thm)],[4576, 4575])).
% 53.57/33.75 tff(4578,plain,
% 53.57/33.75 (v102(constB24) | v104(constB24)),
% 53.57/33.75 inference(unit_resolution,[status(thm)],[4577, 1127, 4562])).
% 53.57/33.75 tff(4579,plain,
% 53.57/33.75 (v102(constB24)),
% 53.57/33.75 inference(unit_resolution,[status(thm)],[4578, 4574])).
% 53.57/33.75 tff(4580,plain,
% 53.57/33.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB23, constB24)) | v101(constB24) | (~v102(constB24)) | (~v1(constB24)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB23, constB24)) | v101(constB24) | (~v102(constB24)) | (~v1(constB24)))),
% 53.57/33.75 inference(rewrite,[status(thm)],[])).
% 53.57/33.75 tff(4581,plain,
% 53.57/33.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB23, constB24)) | v101(constB24) | (~v102(constB24)) | (~v1(constB24)))),
% 53.57/33.75 inference(quant_inst,[status(thm)],[])).
% 53.57/33.75 tff(4582,plain,
% 53.57/33.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB23, constB24)) | v101(constB24) | (~v102(constB24)) | (~v1(constB24))),
% 53.57/33.75 inference(modus_ponens,[status(thm)],[4581, 4580])).
% 53.57/33.75 tff(4583,plain,
% 53.57/33.75 (v101(constB24) | (~v102(constB24))),
% 53.57/33.75 inference(unit_resolution,[status(thm)],[4582, 1145, 4562, 684])).
% 53.57/33.75 tff(4584,plain,
% 53.57/33.75 (v101(constB24)),
% 53.57/33.75 inference(unit_resolution,[status(thm)],[4583, 4579])).
% 53.57/33.75 tff(4585,plain,
% 53.57/33.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24)))),
% 53.57/33.75 inference(rewrite,[status(thm)],[])).
% 53.57/33.75 tff(4586,plain,
% 53.57/33.75 (((~nextState(constB23, constB24)) | (~v101(constB24)) | (~v110(constB24)) | v100(constB24)) <=> ((~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24)))),
% 53.57/33.75 inference(rewrite,[status(thm)],[])).
% 53.57/33.75 tff(4587,plain,
% 53.57/33.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB23, constB24)) | (~v101(constB24)) | (~v110(constB24)) | v100(constB24))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24))))),
% 53.57/33.75 inference(monotonicity,[status(thm)],[4586])).
% 53.57/33.75 tff(4588,plain,
% 53.57/33.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB23, constB24)) | (~v101(constB24)) | (~v110(constB24)) | v100(constB24))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24)))),
% 53.57/33.75 inference(transitivity,[status(thm)],[4587, 4585])).
% 53.57/33.75 tff(4589,plain,
% 53.57/33.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB23, constB24)) | (~v101(constB24)) | (~v110(constB24)) | v100(constB24))),
% 53.57/33.75 inference(quant_inst,[status(thm)],[])).
% 53.57/33.75 tff(4590,plain,
% 53.57/33.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB23, constB24)) | v100(constB24) | (~v101(constB24)) | (~v110(constB24))),
% 53.57/33.75 inference(modus_ponens,[status(thm)],[4589, 4588])).
% 53.57/33.75 tff(4591,plain,
% 53.57/33.75 (v100(constB24) | (~v101(constB24)) | (~v110(constB24))),
% 53.57/33.75 inference(unit_resolution,[status(thm)],[4590, 1160, 4562])).
% 53.57/33.75 tff(4592,plain,
% 53.57/33.75 (v100(constB24) | (~v110(constB24))),
% 53.57/33.76 inference(unit_resolution,[status(thm)],[4591, 4584])).
% 53.57/33.76 tff(4593,plain,
% 53.57/33.76 (v100(constB24)),
% 53.57/33.76 inference(unit_resolution,[status(thm)],[4592, 4570])).
% 53.57/33.76 tff(4594,plain,
% 53.57/33.76 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB23)) | v130(constB23, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB23)) | v130(constB23, 2))),
% 53.57/33.76 inference(rewrite,[status(thm)],[])).
% 53.57/33.76 tff(4595,plain,
% 53.57/33.76 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB23)) | v130(constB23, 2))),
% 53.57/33.76 inference(quant_inst,[status(thm)],[])).
% 53.57/33.76 tff(4596,plain,
% 53.57/33.76 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB23)) | v130(constB23, 2)),
% 53.57/33.76 inference(modus_ponens,[status(thm)],[4595, 4594])).
% 53.57/33.76 tff(4597,plain,
% 53.57/33.76 (v130(constB23, 2)),
% 53.57/33.76 inference(unit_resolution,[status(thm)],[4596, 2741, 4529])).
% 53.57/33.76 tff(4598,plain,
% 53.57/33.76 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB23) | (~v130(constB23, 2)) | v127(constB23, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB23) | (~v130(constB23, 2)) | v127(constB23, 2))),
% 53.57/33.76 inference(rewrite,[status(thm)],[])).
% 53.57/33.76 tff(4599,plain,
% 53.57/33.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB23) | (~v130(constB23, 2)) | v127(constB23, 2))),
% 53.57/33.76 inference(quant_inst,[status(thm)],[])).
% 53.57/33.76 tff(4600,plain,
% 53.57/33.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB23) | (~v130(constB23, 2)) | v127(constB23, 2)),
% 53.57/33.76 inference(modus_ponens,[status(thm)],[4599, 4598])).
% 53.57/33.76 tff(4601,plain,
% 53.57/33.76 ((~v130(constB23, 2)) | v127(constB23, 2)),
% 53.57/33.76 inference(unit_resolution,[status(thm)],[4600, 1981, 4544])).
% 53.57/33.76 tff(4602,plain,
% 53.57/33.76 (v127(constB23, 2)),
% 53.57/33.76 inference(unit_resolution,[status(thm)],[4601, 4597])).
% 53.57/33.76 tff(4603,plain,
% 53.57/33.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB23, constB24)) | (~v127(constB23, 2)) | v129(constB24, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB23, constB24)) | (~v127(constB23, 2)) | v129(constB24, 2))),
% 53.57/33.76 inference(rewrite,[status(thm)],[])).
% 53.57/33.76 tff(4604,plain,
% 53.57/33.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB23, constB24)) | (~v127(constB23, 2)) | v129(constB24, 2))),
% 53.57/33.76 inference(quant_inst,[status(thm)],[])).
% 53.57/33.76 tff(4605,plain,
% 53.57/33.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB23, constB24)) | (~v127(constB23, 2)) | v129(constB24, 2)),
% 53.57/33.76 inference(modus_ponens,[status(thm)],[4604, 4603])).
% 53.57/33.76 tff(4606,plain,
% 53.57/33.76 ((~v127(constB23, 2)) | v129(constB24, 2)),
% 53.57/33.76 inference(unit_resolution,[status(thm)],[4605, 1999, 4562])).
% 53.57/33.76 tff(4607,plain,
% 53.57/33.76 (v129(constB24, 2)),
% 53.57/33.76 inference(unit_resolution,[status(thm)],[4606, 4602])).
% 53.57/33.76 tff(4608,plain,
% 53.57/33.76 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB24, 2) | (~v129(constB24, 2)) | (~v100(constB24)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB24, 2) | (~v129(constB24, 2)) | (~v100(constB24)))),
% 53.57/33.76 inference(rewrite,[status(thm)],[])).
% 53.57/33.76 tff(4609,plain,
% 53.57/33.76 ((v90(constB24, 2) | (~v100(constB24)) | (~v129(constB24, 2))) <=> (v90(constB24, 2) | (~v129(constB24, 2)) | (~v100(constB24)))),
% 53.57/33.76 inference(rewrite,[status(thm)],[])).
% 53.57/33.76 tff(4610,plain,
% 53.57/33.76 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB24, 2) | (~v100(constB24)) | (~v129(constB24, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB24, 2) | (~v129(constB24, 2)) | (~v100(constB24))))),
% 53.57/33.76 inference(monotonicity,[status(thm)],[4609])).
% 53.57/33.76 tff(4611,plain,
% 53.57/33.76 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB24, 2) | (~v100(constB24)) | (~v129(constB24, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB24, 2) | (~v129(constB24, 2)) | (~v100(constB24)))),
% 53.57/33.76 inference(transitivity,[status(thm)],[4610, 4608])).
% 53.57/33.76 tff(4612,plain,
% 53.57/33.76 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB24, 2) | (~v100(constB24)) | (~v129(constB24, 2)))),
% 53.57/33.76 inference(quant_inst,[status(thm)],[])).
% 53.57/33.76 tff(4613,plain,
% 53.57/33.76 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB24, 2) | (~v129(constB24, 2)) | (~v100(constB24))),
% 53.57/33.76 inference(modus_ponens,[status(thm)],[4612, 4611])).
% 53.57/33.76 tff(4614,plain,
% 53.57/33.76 (v90(constB24, 2) | (~v100(constB24))),
% 53.57/33.76 inference(unit_resolution,[status(thm)],[4613, 2324, 4607])).
% 53.57/33.76 tff(4615,plain,
% 53.57/33.76 (v90(constB24, 2)),
% 53.57/33.76 inference(unit_resolution,[status(thm)],[4614, 4593])).
% 53.57/33.76 tff(4616,plain,
% 53.57/33.76 ((~v1(constB25)) <=> (~v1(constB25))),
% 53.57/33.76 inference(rewrite,[status(thm)],[])).
% 53.57/33.76 tff(4617,axiom,(~v1(constB25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_25_1_1')).
% 53.57/33.76 tff(4618,plain,
% 53.57/33.76 (~v1(constB25)),
% 53.57/33.76 inference(modus_ponens,[status(thm)],[4617, 4616])).
% 53.57/33.76 tff(4619,plain,
% 53.57/33.76 (nextState(constB24, constB25) <=> nextState(constB24, constB25)),
% 53.57/33.76 inference(rewrite,[status(thm)],[])).
% 53.57/33.76 tff(4620,axiom,(nextState(constB24, constB25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_24_1')).
% 53.57/33.76 tff(4621,plain,
% 53.57/33.76 (nextState(constB24, constB25)),
% 53.57/33.76 inference(modus_ponens,[status(thm)],[4620, 4619])).
% 53.57/33.76 tff(4622,plain,
% 53.57/33.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25)))),
% 53.57/33.76 inference(rewrite,[status(thm)],[])).
% 53.57/33.76 tff(4623,plain,
% 53.57/33.76 (((~nextState(constB24, constB25)) | (~v101(constB25)) | v1(constB25)) <=> (v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25)))),
% 53.57/33.76 inference(rewrite,[status(thm)],[])).
% 53.57/33.76 tff(4624,plain,
% 53.57/33.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB24, constB25)) | (~v101(constB25)) | v1(constB25))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25))))),
% 53.57/33.76 inference(monotonicity,[status(thm)],[4623])).
% 53.57/33.76 tff(4625,plain,
% 53.57/33.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB24, constB25)) | (~v101(constB25)) | v1(constB25))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25)))),
% 53.57/33.76 inference(transitivity,[status(thm)],[4624, 4622])).
% 53.57/33.76 tff(4626,plain,
% 53.57/33.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB24, constB25)) | (~v101(constB25)) | v1(constB25))),
% 53.57/33.76 inference(quant_inst,[status(thm)],[])).
% 53.57/33.76 tff(4627,plain,
% 53.57/33.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB25) | (~nextState(constB24, constB25)) | (~v101(constB25))),
% 53.57/33.76 inference(modus_ponens,[status(thm)],[4626, 4625])).
% 53.57/33.76 tff(4628,plain,
% 53.57/33.76 (~v101(constB25)),
% 53.57/33.76 inference(unit_resolution,[status(thm)],[4627, 873, 4621, 4618])).
% 53.57/33.76 tff(4629,plain,
% 53.57/33.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB24, constB25)) | v101(constB25) | (~v100(constB25)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB24, constB25)) | v101(constB25) | (~v100(constB25)))),
% 53.57/33.76 inference(rewrite,[status(thm)],[])).
% 53.57/33.76 tff(4630,plain,
% 53.57/33.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB24, constB25)) | v101(constB25) | (~v100(constB25)))),
% 53.57/33.76 inference(quant_inst,[status(thm)],[])).
% 53.57/33.76 tff(4631,plain,
% 53.57/33.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB24, constB25)) | v101(constB25) | (~v100(constB25))),
% 53.57/33.76 inference(modus_ponens,[status(thm)],[4630, 4629])).
% 53.57/33.76 tff(4632,plain,
% 53.57/33.76 (v101(constB25) | (~v100(constB25))),
% 53.57/33.76 inference(unit_resolution,[status(thm)],[4631, 890, 4621])).
% 53.57/33.76 tff(4633,plain,
% 53.57/33.76 (~v100(constB25)),
% 53.57/33.76 inference(unit_resolution,[status(thm)],[4632, 4628])).
% 53.57/33.76 tff(4634,plain,
% 53.57/33.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB24, 2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB24, 2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, 2))),
% 53.57/33.76 inference(rewrite,[status(thm)],[])).
% 53.57/33.76 tff(4635,plain,
% 53.57/33.76 (((~nextState(constB24, constB25)) | (~v90(constB24, 2)) | v100(constB25) | v90(constB25, 2)) <=> ((~v90(constB24, 2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, 2))),
% 53.57/33.76 inference(rewrite,[status(thm)],[])).
% 53.57/33.76 tff(4636,plain,
% 53.57/33.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB24, constB25)) | (~v90(constB24, 2)) | v100(constB25) | v90(constB25, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB24, 2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, 2)))),
% 53.57/33.76 inference(monotonicity,[status(thm)],[4635])).
% 53.57/33.76 tff(4637,plain,
% 53.57/33.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB24, constB25)) | (~v90(constB24, 2)) | v100(constB25) | v90(constB25, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB24, 2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, 2))),
% 53.57/33.76 inference(transitivity,[status(thm)],[4636, 4634])).
% 53.57/33.76 tff(4638,plain,
% 53.57/33.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB24, constB25)) | (~v90(constB24, 2)) | v100(constB25) | v90(constB25, 2))),
% 53.57/33.76 inference(quant_inst,[status(thm)],[])).
% 53.57/33.76 tff(4639,plain,
% 53.57/33.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB24, 2)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, 2)),
% 53.57/33.76 inference(modus_ponens,[status(thm)],[4638, 4637])).
% 53.57/33.76 tff(4640,plain,
% 53.57/33.76 ((~v90(constB24, 2)) | v100(constB25) | v90(constB25, 2)),
% 53.57/33.76 inference(unit_resolution,[status(thm)],[4639, 2174, 4621])).
% 53.57/33.76 tff(4641,plain,
% 53.57/33.76 ((~v90(constB24, 2)) | v90(constB25, 2)),
% 53.57/33.76 inference(unit_resolution,[status(thm)],[4640, 4633])).
% 53.57/33.76 tff(4642,plain,
% 53.57/33.76 (v90(constB25, 2)),
% 53.57/33.76 inference(unit_resolution,[status(thm)],[4641, 4615])).
% 53.57/33.76 tff(4643,plain,
% 53.57/33.76 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB25)) | (~v90(constB25, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB25)) | (~v90(constB25, 2)))),
% 53.57/33.76 inference(rewrite,[status(thm)],[])).
% 53.57/33.76 tff(4644,plain,
% 53.57/33.76 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB25)) | (~v90(constB25, 2)))),
% 53.57/33.76 inference(quant_inst,[status(thm)],[])).
% 53.57/33.76 tff(4645,plain,
% 53.57/33.76 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB25)) | (~v90(constB25, 2))),
% 53.57/33.76 inference(modus_ponens,[status(thm)],[4644, 4643])).
% 53.57/33.76 tff(4646,plain,
% 53.57/33.76 (~v122(constB25)),
% 53.57/33.76 inference(unit_resolution,[status(thm)],[4645, 2797, 4642])).
% 53.57/33.76 tff(4647,plain,
% 53.57/33.76 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB23)) | v130(constB23, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB23)) | v130(constB23, 1))),
% 53.57/33.76 inference(rewrite,[status(thm)],[])).
% 53.57/33.76 tff(4648,plain,
% 53.57/33.76 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB23)) | v130(constB23, 1))),
% 53.57/33.76 inference(quant_inst,[status(thm)],[])).
% 53.57/33.76 tff(4649,plain,
% 53.57/33.76 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB23)) | v130(constB23, 1)),
% 53.57/33.76 inference(modus_ponens,[status(thm)],[4648, 4647])).
% 53.57/33.76 tff(4650,plain,
% 53.57/33.76 (v130(constB23, 1)),
% 53.57/33.76 inference(unit_resolution,[status(thm)],[4649, 2808, 4529])).
% 53.57/33.76 tff(4651,plain,
% 53.57/33.76 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB23) | (~v130(constB23, 1)) | v127(constB23, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB23) | (~v130(constB23, 1)) | v127(constB23, 1))),
% 53.57/33.76 inference(rewrite,[status(thm)],[])).
% 53.57/33.76 tff(4652,plain,
% 53.57/33.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB23) | (~v130(constB23, 1)) | v127(constB23, 1))),
% 53.57/33.76 inference(quant_inst,[status(thm)],[])).
% 53.57/33.76 tff(4653,plain,
% 53.57/33.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB23) | (~v130(constB23, 1)) | v127(constB23, 1)),
% 53.57/33.76 inference(modus_ponens,[status(thm)],[4652, 4651])).
% 53.57/33.76 tff(4654,plain,
% 53.57/33.76 ((~v130(constB23, 1)) | v127(constB23, 1)),
% 53.57/33.76 inference(unit_resolution,[status(thm)],[4653, 1593, 4544])).
% 53.57/33.76 tff(4655,plain,
% 53.57/33.76 (v127(constB23, 1)),
% 53.57/33.76 inference(unit_resolution,[status(thm)],[4654, 4650])).
% 53.57/33.76 tff(4656,plain,
% 53.57/33.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB23, constB24)) | (~v127(constB23, 1)) | v129(constB24, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB23, constB24)) | (~v127(constB23, 1)) | v129(constB24, 1))),
% 53.57/33.76 inference(rewrite,[status(thm)],[])).
% 53.57/33.76 tff(4657,plain,
% 53.57/33.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB23, constB24)) | (~v127(constB23, 1)) | v129(constB24, 1))),
% 53.57/33.76 inference(quant_inst,[status(thm)],[])).
% 53.57/33.76 tff(4658,plain,
% 53.57/33.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB23, constB24)) | (~v127(constB23, 1)) | v129(constB24, 1)),
% 53.57/33.76 inference(modus_ponens,[status(thm)],[4657, 4656])).
% 53.57/33.76 tff(4659,plain,
% 53.57/33.76 ((~v127(constB23, 1)) | v129(constB24, 1)),
% 53.57/33.76 inference(unit_resolution,[status(thm)],[4658, 1608, 4562])).
% 53.57/33.76 tff(4660,plain,
% 53.57/33.76 (v129(constB24, 1)),
% 53.57/33.76 inference(unit_resolution,[status(thm)],[4659, 4655])).
% 53.57/33.76 tff(4661,plain,
% 53.57/33.76 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB24, 1) | (~v129(constB24, 1)) | (~v100(constB24)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB24, 1) | (~v129(constB24, 1)) | (~v100(constB24)))),
% 53.57/33.76 inference(rewrite,[status(thm)],[])).
% 53.57/33.76 tff(4662,plain,
% 53.57/33.76 ((v90(constB24, 1) | (~v100(constB24)) | (~v129(constB24, 1))) <=> (v90(constB24, 1) | (~v129(constB24, 1)) | (~v100(constB24)))),
% 53.57/33.76 inference(rewrite,[status(thm)],[])).
% 53.57/33.76 tff(4663,plain,
% 53.57/33.76 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB24, 1) | (~v100(constB24)) | (~v129(constB24, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB24, 1) | (~v129(constB24, 1)) | (~v100(constB24))))),
% 53.57/33.76 inference(monotonicity,[status(thm)],[4662])).
% 53.57/33.76 tff(4664,plain,
% 53.57/33.76 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB24, 1) | (~v100(constB24)) | (~v129(constB24, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB24, 1) | (~v129(constB24, 1)) | (~v100(constB24)))),
% 53.57/33.76 inference(transitivity,[status(thm)],[4663, 4661])).
% 53.57/33.76 tff(4665,plain,
% 53.57/33.76 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB24, 1) | (~v100(constB24)) | (~v129(constB24, 1)))),
% 53.57/33.76 inference(quant_inst,[status(thm)],[])).
% 53.57/33.76 tff(4666,plain,
% 53.57/33.76 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB24, 1) | (~v129(constB24, 1)) | (~v100(constB24))),
% 53.57/33.76 inference(modus_ponens,[status(thm)],[4665, 4664])).
% 53.57/33.76 tff(4667,plain,
% 53.57/33.76 (v90(constB24, 1) | (~v100(constB24))),
% 53.57/33.76 inference(unit_resolution,[status(thm)],[4666, 1623, 4660])).
% 53.57/33.76 tff(4668,plain,
% 53.57/33.76 (v90(constB24, 1)),
% 53.57/33.76 inference(unit_resolution,[status(thm)],[4667, 4593])).
% 53.57/33.76 tff(4669,plain,
% 53.57/33.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB24, 1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB24, 1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, 1))),
% 53.57/33.76 inference(rewrite,[status(thm)],[])).
% 53.57/33.76 tff(4670,plain,
% 53.57/33.76 (((~nextState(constB24, constB25)) | (~v90(constB24, 1)) | v100(constB25) | v90(constB25, 1)) <=> ((~v90(constB24, 1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, 1))),
% 53.57/33.76 inference(rewrite,[status(thm)],[])).
% 53.57/33.76 tff(4671,plain,
% 53.57/33.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB24, constB25)) | (~v90(constB24, 1)) | v100(constB25) | v90(constB25, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB24, 1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, 1)))),
% 53.57/33.76 inference(monotonicity,[status(thm)],[4670])).
% 53.57/33.76 tff(4672,plain,
% 53.57/33.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB24, constB25)) | (~v90(constB24, 1)) | v100(constB25) | v90(constB25, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB24, 1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, 1))),
% 53.57/33.76 inference(transitivity,[status(thm)],[4671, 4669])).
% 53.57/33.76 tff(4673,plain,
% 53.57/33.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB24, constB25)) | (~v90(constB24, 1)) | v100(constB25) | v90(constB25, 1))),
% 53.57/33.76 inference(quant_inst,[status(thm)],[])).
% 53.57/33.76 tff(4674,plain,
% 53.57/33.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB24, 1)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, 1)),
% 53.57/33.76 inference(modus_ponens,[status(thm)],[4673, 4672])).
% 53.57/33.76 tff(4675,plain,
% 53.57/33.76 ((~v90(constB24, 1)) | v100(constB25) | v90(constB25, 1)),
% 53.57/33.76 inference(unit_resolution,[status(thm)],[4674, 1641, 4621])).
% 53.57/33.76 tff(4676,plain,
% 53.57/33.76 ((~v90(constB24, 1)) | v90(constB25, 1)),
% 53.57/33.76 inference(unit_resolution,[status(thm)],[4675, 4633])).
% 53.57/33.76 tff(4677,plain,
% 53.57/33.76 (v90(constB25, 1)),
% 53.57/33.76 inference(unit_resolution,[status(thm)],[4676, 4668])).
% 53.57/33.76 tff(4678,plain,
% 53.57/33.76 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB25)) | (~v90(constB25, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB25)) | (~v90(constB25, 1)))),
% 53.57/33.76 inference(rewrite,[status(thm)],[])).
% 53.57/33.76 tff(4679,plain,
% 53.57/33.76 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB25)) | (~v90(constB25, 1)))),
% 53.57/33.76 inference(quant_inst,[status(thm)],[])).
% 53.57/33.76 tff(4680,plain,
% 53.57/33.76 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB25)) | (~v90(constB25, 1))),
% 53.57/33.76 inference(modus_ponens,[status(thm)],[4679, 4678])).
% 53.57/33.76 tff(4681,plain,
% 53.57/33.76 (~v124(constB25)),
% 53.57/33.76 inference(unit_resolution,[status(thm)],[4680, 2890, 4677])).
% 53.57/33.76 tff(4682,plain,
% 53.57/33.76 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB25)) | (~v90(constB25, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB25)) | (~v90(constB25, 1)))),
% 53.57/33.76 inference(rewrite,[status(thm)],[])).
% 53.57/33.76 tff(4683,plain,
% 53.57/33.76 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB25)) | (~v90(constB25, 1)))),
% 53.57/33.76 inference(quant_inst,[status(thm)],[])).
% 53.57/33.76 tff(4684,plain,
% 53.57/33.76 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB25)) | (~v90(constB25, 1))),
% 53.57/33.76 inference(modus_ponens,[status(thm)],[4683, 4682])).
% 53.57/33.76 tff(4685,plain,
% 53.57/33.76 (~v123(constB25)),
% 53.57/33.76 inference(unit_resolution,[status(thm)],[4684, 2879, 4677])).
% 53.57/33.76 tff(4686,assumption,(v130(constB25, 2)), introduced(assumption)).
% 53.57/33.76 tff(4687,plain,
% 53.57/33.76 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB25)) | (~v130(constB25, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB25)) | (~v130(constB25, 2)))),
% 53.57/33.76 inference(rewrite,[status(thm)],[])).
% 53.57/33.76 tff(4688,plain,
% 53.57/33.76 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB25)) | (~v130(constB25, 2)))),
% 53.57/33.76 inference(quant_inst,[status(thm)],[])).
% 53.57/33.76 tff(4689,plain,
% 53.57/33.76 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB25)) | (~v130(constB25, 2))),
% 53.57/33.76 inference(modus_ponens,[status(thm)],[4688, 4687])).
% 53.57/33.76 tff(4690,plain,
% 53.57/33.76 (~v119(constB25)),
% 53.57/33.76 inference(unit_resolution,[status(thm)],[4689, 1176, 4686])).
% 53.57/33.76 tff(4691,plain,
% 53.57/33.76 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB25)) | (~v130(constB25, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB25)) | (~v130(constB25, 2)))),
% 53.57/33.76 inference(rewrite,[status(thm)],[])).
% 53.57/33.76 tff(4692,plain,
% 53.57/33.76 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB25)) | (~v130(constB25, 2)))),
% 53.57/33.76 inference(quant_inst,[status(thm)],[])).
% 53.57/33.76 tff(4693,plain,
% 53.57/33.76 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB25)) | (~v130(constB25, 2))),
% 53.57/33.76 inference(modus_ponens,[status(thm)],[4692, 4691])).
% 53.57/33.76 tff(4694,plain,
% 53.57/33.76 (~v121(constB25)),
% 53.57/33.76 inference(unit_resolution,[status(thm)],[4693, 1821, 4686])).
% 53.57/33.76 tff(4695,plain,
% 53.57/33.76 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB25)) | (~v130(constB25, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB25)) | (~v130(constB25, 2)))),
% 53.57/33.76 inference(rewrite,[status(thm)],[])).
% 53.57/33.76 tff(4696,plain,
% 53.57/33.76 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB25)) | (~v130(constB25, 2)))),
% 53.57/33.76 inference(quant_inst,[status(thm)],[])).
% 53.57/33.76 tff(4697,plain,
% 53.57/33.76 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB25)) | (~v130(constB25, 2))),
% 53.57/33.76 inference(modus_ponens,[status(thm)],[4696, 4695])).
% 53.57/33.76 tff(4698,plain,
% 53.57/33.76 (~v120(constB25)),
% 53.57/33.76 inference(unit_resolution,[status(thm)],[4697, 1523, 4686])).
% 53.57/33.76 tff(4699,assumption,(~v122(constB25)), introduced(assumption)).
% 53.57/33.76 tff(4700,assumption,(~v124(constB25)), introduced(assumption)).
% 53.57/33.76 tff(4701,assumption,(~v123(constB25)), introduced(assumption)).
% 53.57/33.76 tff(4702,plain,
% 53.57/33.76 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, 2)))),
% 53.57/33.76 inference(rewrite,[status(thm)],[])).
% 53.57/33.76 tff(4703,plain,
% 53.57/33.76 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, 2)))),
% 53.57/33.76 inference(quant_inst,[status(thm)],[])).
% 53.57/33.76 tff(4704,plain,
% 53.57/33.76 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, 2))),
% 53.57/33.76 inference(modus_ponens,[status(thm)],[4703, 4702])).
% 53.57/33.76 tff(4705,plain,
% 53.57/33.76 (v119(constB25) | v120(constB25) | v121(constB25) | (~v130(constB25, 2))),
% 53.57/33.76 inference(unit_resolution,[status(thm)],[4704, 2904, 4701, 4700, 4699])).
% 53.57/33.76 tff(4706,plain,
% 53.57/33.76 ($false),
% 53.57/33.76 inference(unit_resolution,[status(thm)],[4705, 4698, 4694, 4686, 4690])).
% 53.57/33.76 tff(4707,plain,((~v130(constB25, 2)) | v123(constB25) | v124(constB25) | v122(constB25)), inference(lemma,lemma(discharge,[]))).
% 53.57/33.76 tff(4708,plain,
% 53.57/33.76 (~v130(constB25, 2)),
% 53.57/33.76 inference(unit_resolution,[status(thm)],[4707, 4685, 4681, 4646])).
% 53.57/33.76 tff(4709,assumption,(v26(constB25)), introduced(assumption)).
% 53.57/33.76 tff(4710,plain,
% 53.57/33.76 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB25))),
% 53.57/33.76 inference(quant_inst,[status(thm)],[])).
% 53.57/33.76 tff(4711,plain,
% 53.57/33.76 ($false),
% 53.57/33.76 inference(unit_resolution,[status(thm)],[4710, 828, 4709])).
% 53.57/33.76 tff(4712,plain,(~v26(constB25)), inference(lemma,lemma(discharge,[]))).
% 53.57/33.76 tff(4713,plain,
% 53.57/33.76 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB25, 2)) | v26(constB25) | v130(constB25, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB25, 2)) | v26(constB25) | v130(constB25, 2))),
% 53.57/33.76 inference(rewrite,[status(thm)],[])).
% 53.57/33.76 tff(4714,plain,
% 53.57/33.76 ((v26(constB25) | v130(constB25, 2) | (~v127(constB25, 2))) <=> ((~v127(constB25, 2)) | v26(constB25) | v130(constB25, 2))),
% 53.57/33.76 inference(rewrite,[status(thm)],[])).
% 53.57/33.76 tff(4715,plain,
% 53.57/33.76 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB25) | v130(constB25, 2) | (~v127(constB25, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB25, 2)) | v26(constB25) | v130(constB25, 2)))),
% 53.57/33.76 inference(monotonicity,[status(thm)],[4714])).
% 53.57/33.76 tff(4716,plain,
% 53.57/33.76 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB25) | v130(constB25, 2) | (~v127(constB25, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB25, 2)) | v26(constB25) | v130(constB25, 2))),
% 53.57/33.76 inference(transitivity,[status(thm)],[4715, 4713])).
% 53.57/33.76 tff(4717,plain,
% 53.57/33.76 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB25) | v130(constB25, 2) | (~v127(constB25, 2)))),
% 53.57/33.76 inference(quant_inst,[status(thm)],[])).
% 53.57/33.76 tff(4718,plain,
% 53.57/33.76 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB25, 2)) | v26(constB25) | v130(constB25, 2)),
% 53.57/33.76 inference(modus_ponens,[status(thm)],[4717, 4716])).
% 53.57/33.76 tff(4719,plain,
% 53.57/33.76 ((~v127(constB25, 2)) | v130(constB25, 2)),
% 53.57/33.76 inference(unit_resolution,[status(thm)],[4718, 1190, 4712])).
% 53.57/33.76 tff(4720,plain,
% 53.57/33.76 (~v127(constB25, 2)),
% 53.57/33.76 inference(unit_resolution,[status(thm)],[4719, 4708])).
% 53.57/33.76 tff(4721,plain,
% 53.57/33.76 (nextState(constB25, constB26) <=> nextState(constB25, constB26)),
% 53.57/33.76 inference(rewrite,[status(thm)],[])).
% 53.57/33.76 tff(4722,axiom,(nextState(constB25, constB26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_25_1')).
% 53.57/33.76 tff(4723,plain,
% 53.57/33.76 (nextState(constB25, constB26)),
% 53.57/33.76 inference(modus_ponens,[status(thm)],[4722, 4721])).
% 53.57/33.76 tff(4724,plain,
% 53.57/33.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB25, constB26)) | v127(constB25, 2) | (~v129(constB26, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB25, constB26)) | v127(constB25, 2) | (~v129(constB26, 2)))),
% 53.57/33.76 inference(rewrite,[status(thm)],[])).
% 53.57/33.76 tff(4725,plain,
% 53.57/33.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB25, constB26)) | v127(constB25, 2) | (~v129(constB26, 2)))),
% 53.57/33.76 inference(quant_inst,[status(thm)],[])).
% 53.57/33.76 tff(4726,plain,
% 53.57/33.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB25, constB26)) | v127(constB25, 2) | (~v129(constB26, 2))),
% 53.57/33.76 inference(modus_ponens,[status(thm)],[4725, 4724])).
% 53.57/33.76 tff(4727,plain,
% 53.57/33.76 (v127(constB25, 2) | (~v129(constB26, 2))),
% 53.57/33.76 inference(unit_resolution,[status(thm)],[4726, 1208, 4723])).
% 53.57/33.76 tff(4728,plain,
% 53.57/33.76 (~v129(constB26, 2)),
% 53.57/33.76 inference(unit_resolution,[status(thm)],[4727, 4720])).
% 53.57/33.76 tff(4729,assumption,(~v100(constB26)), introduced(assumption)).
% 53.57/33.76 tff(4730,assumption,(~v90(constB25, 2)), introduced(assumption)).
% 53.57/33.76 tff(4731,plain,
% 53.57/33.76 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB25) | (~nextState(constB25, constB26)) | (~v104(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB25) | (~nextState(constB25, constB26)) | (~v104(constB26)))),
% 53.57/33.76 inference(rewrite,[status(thm)],[])).
% 53.57/33.76 tff(4732,plain,
% 53.57/33.76 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB25) | (~nextState(constB25, constB26)) | (~v104(constB26)))),
% 53.57/33.76 inference(quant_inst,[status(thm)],[])).
% 53.57/33.76 tff(4733,plain,
% 53.57/33.76 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB25) | (~nextState(constB25, constB26)) | (~v104(constB26))),
% 53.57/33.76 inference(modus_ponens,[status(thm)],[4732, 4731])).
% 53.57/33.76 tff(4734,plain,
% 53.57/33.76 (~v104(constB26)),
% 53.57/33.76 inference(unit_resolution,[status(thm)],[4733, 1113, 4723, 4618])).
% 53.57/33.76 tff(4735,plain,
% 53.57/33.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB25, constB26)) | v102(constB26) | v104(constB26))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB25, constB26)) | v102(constB26) | v104(constB26))),
% 53.57/33.76 inference(rewrite,[status(thm)],[])).
% 53.57/33.76 tff(4736,plain,
% 53.57/33.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB25, constB26)) | v102(constB26) | v104(constB26))),
% 53.57/33.76 inference(quant_inst,[status(thm)],[])).
% 53.57/33.76 tff(4737,plain,
% 53.57/33.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB25, constB26)) | v102(constB26) | v104(constB26)),
% 53.57/33.76 inference(modus_ponens,[status(thm)],[4736, 4735])).
% 53.57/33.76 tff(4738,plain,
% 53.57/33.76 (v102(constB26) | v104(constB26)),
% 53.57/33.76 inference(unit_resolution,[status(thm)],[4737, 1127, 4723])).
% 53.57/33.76 tff(4739,plain,
% 53.57/33.76 (v102(constB26)),
% 53.57/33.76 inference(unit_resolution,[status(thm)],[4738, 4734])).
% 53.57/33.76 tff(4740,plain,
% 53.57/33.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB25, constB26)) | v101(constB26) | (~v102(constB26)) | (~v1(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB25, constB26)) | v101(constB26) | (~v102(constB26)) | (~v1(constB26)))),
% 53.57/33.76 inference(rewrite,[status(thm)],[])).
% 53.57/33.76 tff(4741,plain,
% 53.57/33.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB25, constB26)) | v101(constB26) | (~v102(constB26)) | (~v1(constB26)))),
% 53.57/33.76 inference(quant_inst,[status(thm)],[])).
% 53.57/33.76 tff(4742,plain,
% 53.57/33.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB25, constB26)) | v101(constB26) | (~v102(constB26)) | (~v1(constB26))),
% 53.57/33.76 inference(modus_ponens,[status(thm)],[4741, 4740])).
% 53.57/33.76 tff(4743,plain,
% 53.57/33.76 (v101(constB26) | (~v102(constB26))),
% 53.57/33.76 inference(unit_resolution,[status(thm)],[4742, 1145, 4723, 530])).
% 53.57/33.76 tff(4744,plain,
% 53.57/33.76 (v101(constB26)),
% 53.57/33.76 inference(unit_resolution,[status(thm)],[4743, 4739])).
% 53.57/33.76 tff(4745,plain,
% 53.57/33.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26)))),
% 53.57/33.76 inference(rewrite,[status(thm)],[])).
% 53.57/33.76 tff(4746,plain,
% 53.57/33.76 (((~nextState(constB25, constB26)) | (~v101(constB26)) | (~v110(constB26)) | v100(constB26)) <=> ((~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26)))),
% 53.57/33.76 inference(rewrite,[status(thm)],[])).
% 53.57/33.76 tff(4747,plain,
% 53.57/33.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB25, constB26)) | (~v101(constB26)) | (~v110(constB26)) | v100(constB26))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26))))),
% 53.57/33.76 inference(monotonicity,[status(thm)],[4746])).
% 53.57/33.76 tff(4748,plain,
% 53.57/33.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB25, constB26)) | (~v101(constB26)) | (~v110(constB26)) | v100(constB26))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26)))),
% 53.57/33.76 inference(transitivity,[status(thm)],[4747, 4745])).
% 53.57/33.76 tff(4749,plain,
% 53.57/33.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB25, constB26)) | (~v101(constB26)) | (~v110(constB26)) | v100(constB26))),
% 53.57/33.76 inference(quant_inst,[status(thm)],[])).
% 53.57/33.76 tff(4750,plain,
% 53.57/33.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB25, constB26)) | v100(constB26) | (~v101(constB26)) | (~v110(constB26))),
% 53.57/33.76 inference(modus_ponens,[status(thm)],[4749, 4748])).
% 53.57/33.76 tff(4751,plain,
% 53.57/33.76 (v100(constB26) | (~v101(constB26)) | (~v110(constB26))),
% 53.57/33.76 inference(unit_resolution,[status(thm)],[4750, 1160, 4723])).
% 53.57/33.76 tff(4752,plain,
% 53.57/33.76 (v100(constB26) | (~v110(constB26))),
% 53.57/33.76 inference(unit_resolution,[status(thm)],[4751, 4744])).
% 53.57/33.76 tff(4753,plain,
% 53.57/33.76 (~v110(constB26)),
% 53.57/33.76 inference(unit_resolution,[status(thm)],[4752, 4729])).
% 53.57/33.76 tff(4754,assumption,(~v110(constB26)), introduced(assumption)).
% 53.57/33.76 tff(4755,plain,
% 53.57/33.76 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))))),
% 53.57/33.76 inference(bind,[status(th)],[])).
% 53.57/33.76 tff(4756,plain,
% 53.57/33.76 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 53.57/33.76 inference(quant_intro,[status(thm)],[4755])).
% 53.57/33.76 tff(4757,plain,
% 53.57/33.76 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 53.57/33.76 inference(rewrite,[status(thm)],[])).
% 53.57/33.76 tff(4758,plain,
% 53.57/33.76 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v100(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v110(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v110(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v110(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v110(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))))),
% 53.57/33.76 inference(bind,[status(th)],[])).
% 53.57/33.76 tff(4759,plain,
% 53.57/33.76 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v110(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 53.57/33.76 inference(quant_intro,[status(thm)],[4758])).
% 53.57/33.76 tff(4760,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v100(VarNext))) | v110(VarNext))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_27_1_2')).
% 53.57/33.76 tff(4761,plain,
% 53.57/33.76 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 53.57/33.76 inference(modus_ponens,[status(thm)],[4760, 4759])).
% 53.57/33.76 tff(4762,plain,
% 53.57/33.76 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 53.57/33.76 inference(modus_ponens,[status(thm)],[4761, 4757])).
% 53.57/33.76 tff(4763,plain,(
% 53.57/33.76 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 53.57/33.76 inference(skolemize,[status(sab)],[4762])).
% 53.57/33.76 tff(4764,plain,
% 53.57/33.76 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))),
% 53.57/33.76 inference(modus_ponens,[status(thm)],[4763, 4756])).
% 53.57/33.76 tff(4765,plain,
% 53.57/33.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB25, constB26)) | v110(constB26) | (~v100(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB25, constB26)) | v110(constB26) | (~v100(constB26)))),
% 53.57/33.76 inference(rewrite,[status(thm)],[])).
% 53.57/33.76 tff(4766,plain,
% 53.57/33.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB25, constB26)) | v110(constB26) | (~v100(constB26)))),
% 53.57/33.76 inference(quant_inst,[status(thm)],[])).
% 53.57/33.76 tff(4767,plain,
% 53.57/33.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB25, constB26)) | v110(constB26) | (~v100(constB26))),
% 53.57/33.76 inference(modus_ponens,[status(thm)],[4766, 4765])).
% 53.57/33.76 tff(4768,plain,
% 53.57/33.76 (v110(constB26) | (~v100(constB26))),
% 53.57/33.76 inference(unit_resolution,[status(thm)],[4767, 4764, 4723])).
% 53.57/33.76 tff(4769,plain,
% 53.57/33.76 (~v100(constB26)),
% 53.57/33.76 inference(unit_resolution,[status(thm)],[4768, 4754])).
% 53.57/33.76 tff(4770,assumption,(~v90(constB26, 0)), introduced(assumption)).
% 53.57/33.76 tff(4771,assumption,(~v90(constB26, 2)), introduced(assumption)).
% 53.57/33.76 tff(4772,plain,
% 53.57/33.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB25, 2)) | (~nextState(constB25, constB26)) | v100(constB26) | v90(constB26, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB25, 2)) | (~nextState(constB25, constB26)) | v100(constB26) | v90(constB26, 2))),
% 53.57/33.76 inference(rewrite,[status(thm)],[])).
% 53.57/33.76 tff(4773,plain,
% 53.57/33.76 (((~nextState(constB25, constB26)) | (~v90(constB25, 2)) | v100(constB26) | v90(constB26, 2)) <=> ((~v90(constB25, 2)) | (~nextState(constB25, constB26)) | v100(constB26) | v90(constB26, 2))),
% 53.57/33.76 inference(rewrite,[status(thm)],[])).
% 53.57/33.76 tff(4774,plain,
% 53.57/33.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB25, constB26)) | (~v90(constB25, 2)) | v100(constB26) | v90(constB26, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB25, 2)) | (~nextState(constB25, constB26)) | v100(constB26) | v90(constB26, 2)))),
% 53.57/33.76 inference(monotonicity,[status(thm)],[4773])).
% 53.57/33.76 tff(4775,plain,
% 53.57/33.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB25, constB26)) | (~v90(constB25, 2)) | v100(constB26) | v90(constB26, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB25, 2)) | (~nextState(constB25, constB26)) | v100(constB26) | v90(constB26, 2))),
% 53.57/33.76 inference(transitivity,[status(thm)],[4774, 4772])).
% 53.57/33.76 tff(4776,plain,
% 53.57/33.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB25, constB26)) | (~v90(constB25, 2)) | v100(constB26) | v90(constB26, 2))),
% 53.57/33.76 inference(quant_inst,[status(thm)],[])).
% 53.57/33.76 tff(4777,plain,
% 53.57/33.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB25, 2)) | (~nextState(constB25, constB26)) | v100(constB26) | v90(constB26, 2)),
% 53.57/33.76 inference(modus_ponens,[status(thm)],[4776, 4775])).
% 53.57/33.76 tff(4778,plain,
% 53.57/33.76 ((~v90(constB25, 2)) | v100(constB26) | v90(constB26, 2)),
% 53.57/33.76 inference(unit_resolution,[status(thm)],[4777, 2174, 4723])).
% 53.57/33.76 tff(4779,plain,
% 53.57/33.76 (~v90(constB25, 2)),
% 53.57/33.76 inference(unit_resolution,[status(thm)],[4778, 4769, 4771])).
% 53.57/33.76 tff(4780,assumption,(~v90(constB26, 1)), introduced(assumption)).
% 53.57/33.76 tff(4781,plain,
% 53.57/33.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25)))),
% 53.57/33.76 inference(rewrite,[status(thm)],[])).
% 53.57/33.76 tff(4782,plain,
% 53.57/33.76 (((~nextState(constB25, constB26)) | (~v108(constB25)) | v110(constB26)) <=> ((~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25)))),
% 53.57/33.77 inference(rewrite,[status(thm)],[])).
% 53.57/33.77 tff(4783,plain,
% 53.57/33.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB25, constB26)) | (~v108(constB25)) | v110(constB26))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25))))),
% 53.57/33.77 inference(monotonicity,[status(thm)],[4782])).
% 53.57/33.77 tff(4784,plain,
% 53.57/33.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB25, constB26)) | (~v108(constB25)) | v110(constB26))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25)))),
% 53.57/33.77 inference(transitivity,[status(thm)],[4783, 4781])).
% 53.57/33.77 tff(4785,plain,
% 53.57/33.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB25, constB26)) | (~v108(constB25)) | v110(constB26))),
% 53.57/33.77 inference(quant_inst,[status(thm)],[])).
% 53.57/33.77 tff(4786,plain,
% 53.57/33.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB25, constB26)) | v110(constB26) | (~v108(constB25))),
% 53.57/33.77 inference(modus_ponens,[status(thm)],[4785, 4784])).
% 53.57/33.77 tff(4787,plain,
% 53.57/33.77 (v110(constB26) | (~v108(constB25))),
% 53.57/33.77 inference(unit_resolution,[status(thm)],[4786, 1095, 4723])).
% 53.57/33.77 tff(4788,plain,
% 53.57/33.77 (~v108(constB25)),
% 53.57/33.77 inference(unit_resolution,[status(thm)],[4787, 4754])).
% 53.57/33.77 tff(4789,plain,
% 53.57/33.77 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB25) | (~v112(constB25)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB25) | (~v112(constB25)))),
% 53.57/33.77 inference(rewrite,[status(thm)],[])).
% 53.57/33.77 tff(4790,plain,
% 53.57/33.77 (((~v112(constB25)) | v108(constB25)) <=> (v108(constB25) | (~v112(constB25)))),
% 53.57/33.77 inference(rewrite,[status(thm)],[])).
% 53.57/33.77 tff(4791,plain,
% 53.57/33.77 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB25)) | v108(constB25))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB25) | (~v112(constB25))))),
% 53.57/33.77 inference(monotonicity,[status(thm)],[4790])).
% 53.57/33.77 tff(4792,plain,
% 53.57/33.77 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB25)) | v108(constB25))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB25) | (~v112(constB25)))),
% 53.57/33.77 inference(transitivity,[status(thm)],[4791, 4789])).
% 53.57/33.77 tff(4793,plain,
% 53.57/33.77 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB25)) | v108(constB25))),
% 53.57/33.77 inference(quant_inst,[status(thm)],[])).
% 53.57/33.77 tff(4794,plain,
% 53.57/33.77 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB25) | (~v112(constB25))),
% 53.57/33.77 inference(modus_ponens,[status(thm)],[4793, 4792])).
% 53.57/33.77 tff(4795,plain,
% 53.57/33.77 (~v112(constB25)),
% 53.57/33.77 inference(unit_resolution,[status(thm)],[4794, 1075, 4788])).
% 53.57/33.77 tff(4796,plain,
% 53.57/33.77 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB25) | (~v26(constB25)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB25) | (~v26(constB25)))),
% 53.57/33.77 inference(rewrite,[status(thm)],[])).
% 53.57/33.77 tff(4797,plain,
% 53.57/33.77 (((~v26(constB25)) | v108(constB25)) <=> (v108(constB25) | (~v26(constB25)))),
% 53.57/33.77 inference(rewrite,[status(thm)],[])).
% 53.57/33.77 tff(4798,plain,
% 53.57/33.77 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB25)) | v108(constB25))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB25) | (~v26(constB25))))),
% 53.57/33.77 inference(monotonicity,[status(thm)],[4797])).
% 53.57/33.77 tff(4799,plain,
% 53.57/33.77 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB25)) | v108(constB25))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB25) | (~v26(constB25)))),
% 53.57/33.77 inference(transitivity,[status(thm)],[4798, 4796])).
% 53.57/33.77 tff(4800,plain,
% 53.57/33.77 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB25)) | v108(constB25))),
% 53.57/33.77 inference(quant_inst,[status(thm)],[])).
% 53.57/33.77 tff(4801,plain,
% 53.57/33.77 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB25) | (~v26(constB25))),
% 53.57/33.77 inference(modus_ponens,[status(thm)],[4800, 4799])).
% 53.57/33.77 tff(4802,plain,
% 53.57/33.77 (~v26(constB25)),
% 53.57/33.77 inference(unit_resolution,[status(thm)],[4801, 2050, 4788])).
% 53.57/33.77 tff(4803,plain,
% 53.57/33.77 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB25) | v112(constB25) | (~v113(constB25)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB25) | v112(constB25) | (~v113(constB25)))),
% 53.57/33.77 inference(rewrite,[status(thm)],[])).
% 53.57/33.77 tff(4804,plain,
% 53.57/33.77 ((v26(constB25) | (~v113(constB25)) | v112(constB25)) <=> (v26(constB25) | v112(constB25) | (~v113(constB25)))),
% 53.57/33.77 inference(rewrite,[status(thm)],[])).
% 53.57/33.77 tff(4805,plain,
% 53.57/33.77 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB25) | (~v113(constB25)) | v112(constB25))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB25) | v112(constB25) | (~v113(constB25))))),
% 53.57/33.77 inference(monotonicity,[status(thm)],[4804])).
% 53.57/33.77 tff(4806,plain,
% 53.57/33.77 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB25) | (~v113(constB25)) | v112(constB25))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB25) | v112(constB25) | (~v113(constB25)))),
% 53.57/33.77 inference(transitivity,[status(thm)],[4805, 4803])).
% 53.57/33.77 tff(4807,plain,
% 53.57/33.77 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB25) | (~v113(constB25)) | v112(constB25))),
% 53.57/33.77 inference(quant_inst,[status(thm)],[])).
% 53.57/33.77 tff(4808,plain,
% 53.57/33.77 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB25) | v112(constB25) | (~v113(constB25))),
% 53.57/33.77 inference(modus_ponens,[status(thm)],[4807, 4806])).
% 53.57/33.77 tff(4809,plain,
% 53.57/33.77 (~v113(constB25)),
% 53.57/33.77 inference(unit_resolution,[status(thm)],[4808, 1063, 4802, 4795])).
% 53.57/33.77 tff(4810,plain,
% 53.57/33.77 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB25) | (~v114(constB25)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB25) | (~v114(constB25)))),
% 53.57/33.77 inference(rewrite,[status(thm)],[])).
% 53.57/33.77 tff(4811,plain,
% 53.57/33.77 (((~v114(constB25)) | v113(constB25)) <=> (v113(constB25) | (~v114(constB25)))),
% 53.57/33.77 inference(rewrite,[status(thm)],[])).
% 53.57/33.77 tff(4812,plain,
% 53.57/33.77 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB25)) | v113(constB25))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB25) | (~v114(constB25))))),
% 53.57/33.77 inference(monotonicity,[status(thm)],[4811])).
% 53.57/33.77 tff(4813,plain,
% 53.57/33.77 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB25)) | v113(constB25))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB25) | (~v114(constB25)))),
% 53.57/33.77 inference(transitivity,[status(thm)],[4812, 4810])).
% 53.57/33.77 tff(4814,plain,
% 53.57/33.77 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB25)) | v113(constB25))),
% 53.57/33.77 inference(quant_inst,[status(thm)],[])).
% 53.57/33.77 tff(4815,plain,
% 53.57/33.77 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB25) | (~v114(constB25))),
% 53.57/33.77 inference(modus_ponens,[status(thm)],[4814, 4813])).
% 53.57/33.77 tff(4816,plain,
% 53.57/33.77 (~v114(constB25)),
% 53.57/33.77 inference(unit_resolution,[status(thm)],[4815, 1049, 4809])).
% 53.57/33.77 tff(4817,plain,
% 53.57/33.77 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB25) | (~v115(constB25)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB25) | (~v115(constB25)))),
% 53.57/33.77 inference(rewrite,[status(thm)],[])).
% 53.57/33.77 tff(4818,plain,
% 53.57/33.77 (((~v115(constB25)) | v114(constB25)) <=> (v114(constB25) | (~v115(constB25)))),
% 53.57/33.77 inference(rewrite,[status(thm)],[])).
% 53.57/33.77 tff(4819,plain,
% 53.57/33.77 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB25)) | v114(constB25))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB25) | (~v115(constB25))))),
% 53.57/33.77 inference(monotonicity,[status(thm)],[4818])).
% 53.57/33.77 tff(4820,plain,
% 53.57/33.77 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB25)) | v114(constB25))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB25) | (~v115(constB25)))),
% 53.57/33.77 inference(transitivity,[status(thm)],[4819, 4817])).
% 53.57/33.77 tff(4821,plain,
% 53.57/33.77 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB25)) | v114(constB25))),
% 53.57/33.77 inference(quant_inst,[status(thm)],[])).
% 53.57/33.77 tff(4822,plain,
% 53.57/33.77 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB25) | (~v115(constB25))),
% 53.57/33.77 inference(modus_ponens,[status(thm)],[4821, 4820])).
% 53.57/33.77 tff(4823,plain,
% 53.57/33.77 (~v115(constB25)),
% 53.57/33.77 inference(unit_resolution,[status(thm)],[4822, 1035, 4816])).
% 53.57/33.77 tff(4824,plain,
% 53.57/33.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB25, 1)) | (~nextState(constB25, constB26)) | v100(constB26) | v90(constB26, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB25, 1)) | (~nextState(constB25, constB26)) | v100(constB26) | v90(constB26, 1))),
% 53.57/33.77 inference(rewrite,[status(thm)],[])).
% 53.57/33.77 tff(4825,plain,
% 53.57/33.77 (((~nextState(constB25, constB26)) | (~v90(constB25, 1)) | v100(constB26) | v90(constB26, 1)) <=> ((~v90(constB25, 1)) | (~nextState(constB25, constB26)) | v100(constB26) | v90(constB26, 1))),
% 53.57/33.77 inference(rewrite,[status(thm)],[])).
% 53.57/33.77 tff(4826,plain,
% 53.57/33.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB25, constB26)) | (~v90(constB25, 1)) | v100(constB26) | v90(constB26, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB25, 1)) | (~nextState(constB25, constB26)) | v100(constB26) | v90(constB26, 1)))),
% 53.57/33.77 inference(monotonicity,[status(thm)],[4825])).
% 53.57/33.77 tff(4827,plain,
% 53.57/33.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB25, constB26)) | (~v90(constB25, 1)) | v100(constB26) | v90(constB26, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB25, 1)) | (~nextState(constB25, constB26)) | v100(constB26) | v90(constB26, 1))),
% 53.57/33.77 inference(transitivity,[status(thm)],[4826, 4824])).
% 53.57/33.77 tff(4828,plain,
% 53.57/33.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB25, constB26)) | (~v90(constB25, 1)) | v100(constB26) | v90(constB26, 1))),
% 53.57/33.77 inference(quant_inst,[status(thm)],[])).
% 53.57/33.77 tff(4829,plain,
% 53.57/33.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB25, 1)) | (~nextState(constB25, constB26)) | v100(constB26) | v90(constB26, 1)),
% 53.57/33.77 inference(modus_ponens,[status(thm)],[4828, 4827])).
% 53.57/33.77 tff(4830,plain,
% 53.57/33.77 ((~v90(constB25, 1)) | v100(constB26) | v90(constB26, 1)),
% 53.57/33.77 inference(unit_resolution,[status(thm)],[4829, 1641, 4723])).
% 53.57/33.77 tff(4831,plain,
% 53.57/33.77 (~v90(constB25, 1)),
% 53.57/33.77 inference(unit_resolution,[status(thm)],[4830, 4769, 4780])).
% 53.57/33.77 tff(4832,plain,
% 53.57/33.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB25, 0)) | (~nextState(constB25, constB26)) | v100(constB26) | v90(constB26, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB25, 0)) | (~nextState(constB25, constB26)) | v100(constB26) | v90(constB26, 0))),
% 53.57/33.77 inference(rewrite,[status(thm)],[])).
% 53.57/33.77 tff(4833,plain,
% 53.57/33.77 (((~nextState(constB25, constB26)) | (~v90(constB25, 0)) | v100(constB26) | v90(constB26, 0)) <=> ((~v90(constB25, 0)) | (~nextState(constB25, constB26)) | v100(constB26) | v90(constB26, 0))),
% 53.57/33.77 inference(rewrite,[status(thm)],[])).
% 53.57/33.77 tff(4834,plain,
% 53.57/33.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB25, constB26)) | (~v90(constB25, 0)) | v100(constB26) | v90(constB26, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB25, 0)) | (~nextState(constB25, constB26)) | v100(constB26) | v90(constB26, 0)))),
% 53.57/33.77 inference(monotonicity,[status(thm)],[4833])).
% 53.57/33.77 tff(4835,plain,
% 53.57/33.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB25, constB26)) | (~v90(constB25, 0)) | v100(constB26) | v90(constB26, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB25, 0)) | (~nextState(constB25, constB26)) | v100(constB26) | v90(constB26, 0))),
% 53.57/33.77 inference(transitivity,[status(thm)],[4834, 4832])).
% 53.57/33.77 tff(4836,plain,
% 53.57/33.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB25, constB26)) | (~v90(constB25, 0)) | v100(constB26) | v90(constB26, 0))),
% 53.57/33.77 inference(quant_inst,[status(thm)],[])).
% 53.57/33.77 tff(4837,plain,
% 53.57/33.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB25, 0)) | (~nextState(constB25, constB26)) | v100(constB26) | v90(constB26, 0)),
% 53.57/33.77 inference(modus_ponens,[status(thm)],[4836, 4835])).
% 53.57/33.77 tff(4838,plain,
% 53.57/33.77 ((~v90(constB25, 0)) | v100(constB26) | v90(constB26, 0)),
% 53.57/33.77 inference(unit_resolution,[status(thm)],[4837, 1395, 4723])).
% 53.57/33.77 tff(4839,plain,
% 53.57/33.77 (~v90(constB25, 0)),
% 53.57/33.77 inference(unit_resolution,[status(thm)],[4838, 4769, 4770])).
% 53.57/33.77 tff(4840,plain,
% 53.57/33.77 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB25, 0) | v90(constB25, 1) | v90(constB25, 2) | v119(constB25))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB25, 0) | v90(constB25, 1) | v90(constB25, 2) | v119(constB25))),
% 53.57/33.77 inference(rewrite,[status(thm)],[])).
% 53.57/33.77 tff(4841,plain,
% 53.57/33.77 ((v90(constB25, 0) | v119(constB25) | v90(constB25, 1) | v90(constB25, 2)) <=> (v90(constB25, 0) | v90(constB25, 1) | v90(constB25, 2) | v119(constB25))),
% 53.57/33.77 inference(rewrite,[status(thm)],[])).
% 53.57/33.77 tff(4842,plain,
% 53.57/33.77 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB25, 0) | v119(constB25) | v90(constB25, 1) | v90(constB25, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB25, 0) | v90(constB25, 1) | v90(constB25, 2) | v119(constB25)))),
% 53.57/33.77 inference(monotonicity,[status(thm)],[4841])).
% 53.57/33.77 tff(4843,plain,
% 53.57/33.77 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB25, 0) | v119(constB25) | v90(constB25, 1) | v90(constB25, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB25, 0) | v90(constB25, 1) | v90(constB25, 2) | v119(constB25))),
% 53.57/33.77 inference(transitivity,[status(thm)],[4842, 4840])).
% 53.57/33.77 tff(4844,plain,
% 53.57/33.77 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB25, 0) | v119(constB25) | v90(constB25, 1) | v90(constB25, 2))),
% 53.57/33.77 inference(quant_inst,[status(thm)],[])).
% 53.57/33.77 tff(4845,plain,
% 53.57/33.77 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB25, 0) | v90(constB25, 1) | v90(constB25, 2) | v119(constB25)),
% 53.57/33.77 inference(modus_ponens,[status(thm)],[4844, 4843])).
% 53.57/33.77 tff(4846,plain,
% 53.57/33.77 (v119(constB25)),
% 53.57/33.77 inference(unit_resolution,[status(thm)],[4845, 968, 4839, 4831, 4779])).
% 53.57/33.77 tff(4847,plain,
% 53.57/33.77 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB25) | (~v119(constB25)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB25) | (~v119(constB25)))),
% 53.57/33.77 inference(rewrite,[status(thm)],[])).
% 53.57/33.77 tff(4848,plain,
% 53.57/33.77 (((~v119(constB25)) | v118(constB25)) <=> (v118(constB25) | (~v119(constB25)))),
% 53.57/33.77 inference(rewrite,[status(thm)],[])).
% 53.57/33.77 tff(4849,plain,
% 53.57/33.77 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB25)) | v118(constB25))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB25) | (~v119(constB25))))),
% 53.57/33.77 inference(monotonicity,[status(thm)],[4848])).
% 53.57/33.77 tff(4850,plain,
% 53.57/33.77 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB25)) | v118(constB25))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB25) | (~v119(constB25)))),
% 53.57/33.77 inference(transitivity,[status(thm)],[4849, 4847])).
% 53.57/33.77 tff(4851,plain,
% 53.57/33.77 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB25)) | v118(constB25))),
% 53.57/33.77 inference(quant_inst,[status(thm)],[])).
% 53.57/33.77 tff(4852,plain,
% 53.57/33.77 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB25) | (~v119(constB25))),
% 53.57/33.77 inference(modus_ponens,[status(thm)],[4851, 4850])).
% 53.57/33.77 tff(4853,plain,
% 53.57/33.77 (v118(constB25)),
% 53.57/33.77 inference(unit_resolution,[status(thm)],[4852, 982, 4846])).
% 53.57/33.77 tff(4854,plain,
% 53.57/33.77 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB25) | (~v118(constB25)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB25) | (~v118(constB25)))),
% 53.57/33.77 inference(rewrite,[status(thm)],[])).
% 53.57/33.77 tff(4855,plain,
% 53.57/33.77 (((~v118(constB25)) | v117(constB25)) <=> (v117(constB25) | (~v118(constB25)))),
% 53.57/33.77 inference(rewrite,[status(thm)],[])).
% 53.57/33.77 tff(4856,plain,
% 53.57/33.77 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB25)) | v117(constB25))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB25) | (~v118(constB25))))),
% 53.57/33.77 inference(monotonicity,[status(thm)],[4855])).
% 53.57/33.77 tff(4857,plain,
% 53.57/33.77 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB25)) | v117(constB25))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB25) | (~v118(constB25)))),
% 53.57/33.77 inference(transitivity,[status(thm)],[4856, 4854])).
% 53.57/33.77 tff(4858,plain,
% 53.57/33.77 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB25)) | v117(constB25))),
% 53.57/33.77 inference(quant_inst,[status(thm)],[])).
% 53.57/33.77 tff(4859,plain,
% 53.57/33.77 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB25) | (~v118(constB25))),
% 53.57/33.77 inference(modus_ponens,[status(thm)],[4858, 4857])).
% 53.57/33.77 tff(4860,plain,
% 53.57/33.77 (v117(constB25)),
% 53.57/33.77 inference(unit_resolution,[status(thm)],[4859, 993, 4853])).
% 53.57/33.77 tff(4861,plain,
% 53.57/33.77 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB25) | (~v117(constB25)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB25) | (~v117(constB25)))),
% 53.57/33.77 inference(rewrite,[status(thm)],[])).
% 53.57/33.77 tff(4862,plain,
% 53.57/33.77 (((~v117(constB25)) | v116(constB25)) <=> (v116(constB25) | (~v117(constB25)))),
% 53.57/33.77 inference(rewrite,[status(thm)],[])).
% 53.57/33.77 tff(4863,plain,
% 53.57/33.77 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB25)) | v116(constB25))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB25) | (~v117(constB25))))),
% 53.57/33.77 inference(monotonicity,[status(thm)],[4862])).
% 53.57/33.77 tff(4864,plain,
% 53.57/33.77 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB25)) | v116(constB25))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB25) | (~v117(constB25)))),
% 53.57/33.77 inference(transitivity,[status(thm)],[4863, 4861])).
% 53.57/33.77 tff(4865,plain,
% 53.57/33.77 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB25)) | v116(constB25))),
% 53.57/33.77 inference(quant_inst,[status(thm)],[])).
% 53.57/33.77 tff(4866,plain,
% 53.57/33.77 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB25) | (~v117(constB25))),
% 53.57/33.77 inference(modus_ponens,[status(thm)],[4865, 4864])).
% 53.57/33.77 tff(4867,plain,
% 53.57/33.77 (v116(constB25)),
% 53.57/33.77 inference(unit_resolution,[status(thm)],[4866, 1007, 4860])).
% 53.57/33.77 tff(4868,plain,
% 53.57/33.77 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB25) | (~v116(constB25)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB25) | (~v116(constB25)))),
% 53.57/33.77 inference(rewrite,[status(thm)],[])).
% 53.57/33.77 tff(4869,plain,
% 53.57/33.77 (((~v116(constB25)) | v115(constB25)) <=> (v115(constB25) | (~v116(constB25)))),
% 53.57/33.77 inference(rewrite,[status(thm)],[])).
% 53.57/33.77 tff(4870,plain,
% 53.57/33.77 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB25)) | v115(constB25))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB25) | (~v116(constB25))))),
% 53.57/33.77 inference(monotonicity,[status(thm)],[4869])).
% 53.57/33.77 tff(4871,plain,
% 53.57/33.77 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB25)) | v115(constB25))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB25) | (~v116(constB25)))),
% 53.57/33.77 inference(transitivity,[status(thm)],[4870, 4868])).
% 53.57/33.77 tff(4872,plain,
% 53.57/33.77 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB25)) | v115(constB25))),
% 53.57/33.77 inference(quant_inst,[status(thm)],[])).
% 53.57/33.77 tff(4873,plain,
% 53.57/33.77 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB25) | (~v116(constB25))),
% 53.57/33.77 inference(modus_ponens,[status(thm)],[4872, 4871])).
% 53.57/33.77 tff(4874,plain,
% 53.57/33.77 ($false),
% 53.57/33.77 inference(unit_resolution,[status(thm)],[4873, 1021, 4867, 4823])).
% 53.57/33.77 tff(4875,plain,(v110(constB26) | v90(constB26, 0) | v90(constB26, 2) | v90(constB26, 1)), inference(lemma,lemma(discharge,[]))).
% 53.57/33.77 tff(4876,plain,
% 53.57/33.77 (v110(constB26)),
% 53.57/33.77 inference(unit_resolution,[status(thm)],[4875, 4780, 4771, 4770])).
% 53.57/33.77 tff(4877,plain,
% 53.57/33.77 (v100(constB26)),
% 53.57/33.77 inference(unit_resolution,[status(thm)],[4752, 4876])).
% 53.57/33.77 tff(4878,plain,
% 53.57/33.77 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB26, 1) | (~v129(constB26, 1)) | (~v100(constB26)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB26, 1) | (~v129(constB26, 1)) | (~v100(constB26)))),
% 53.57/33.77 inference(rewrite,[status(thm)],[])).
% 53.57/33.77 tff(4879,plain,
% 53.57/33.77 ((v90(constB26, 1) | (~v100(constB26)) | (~v129(constB26, 1))) <=> (v90(constB26, 1) | (~v129(constB26, 1)) | (~v100(constB26)))),
% 53.57/33.77 inference(rewrite,[status(thm)],[])).
% 53.57/33.77 tff(4880,plain,
% 53.57/33.77 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB26, 1) | (~v100(constB26)) | (~v129(constB26, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB26, 1) | (~v129(constB26, 1)) | (~v100(constB26))))),
% 53.57/33.77 inference(monotonicity,[status(thm)],[4879])).
% 53.57/33.77 tff(4881,plain,
% 53.57/33.77 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB26, 1) | (~v100(constB26)) | (~v129(constB26, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB26, 1) | (~v129(constB26, 1)) | (~v100(constB26)))),
% 53.57/33.77 inference(transitivity,[status(thm)],[4880, 4878])).
% 53.57/33.77 tff(4882,plain,
% 53.57/33.77 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB26, 1) | (~v100(constB26)) | (~v129(constB26, 1)))),
% 53.57/33.77 inference(quant_inst,[status(thm)],[])).
% 53.57/33.77 tff(4883,plain,
% 53.57/33.77 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB26, 1) | (~v129(constB26, 1)) | (~v100(constB26))),
% 53.57/33.77 inference(modus_ponens,[status(thm)],[4882, 4881])).
% 53.57/33.77 tff(4884,plain,
% 53.57/33.77 (~v129(constB26, 1)),
% 53.57/33.77 inference(unit_resolution,[status(thm)],[4883, 1623, 4877, 4780])).
% 53.57/33.77 tff(4885,plain,
% 53.57/33.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB25, constB26)) | (~v127(constB25, 1)) | v129(constB26, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB25, constB26)) | (~v127(constB25, 1)) | v129(constB26, 1))),
% 53.57/33.77 inference(rewrite,[status(thm)],[])).
% 53.57/33.77 tff(4886,plain,
% 53.57/33.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB25, constB26)) | (~v127(constB25, 1)) | v129(constB26, 1))),
% 53.57/33.77 inference(quant_inst,[status(thm)],[])).
% 53.57/33.77 tff(4887,plain,
% 53.57/33.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB25, constB26)) | (~v127(constB25, 1)) | v129(constB26, 1)),
% 53.57/33.77 inference(modus_ponens,[status(thm)],[4886, 4885])).
% 53.57/33.77 tff(4888,plain,
% 53.57/33.77 ((~v127(constB25, 1)) | v129(constB26, 1)),
% 53.57/33.77 inference(unit_resolution,[status(thm)],[4887, 1608, 4723])).
% 53.57/33.77 tff(4889,plain,
% 53.57/33.77 (~v127(constB25, 1)),
% 53.57/33.77 inference(unit_resolution,[status(thm)],[4888, 4884])).
% 53.57/33.77 tff(4890,plain,
% 53.57/33.77 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB25) | (~v130(constB25, 1)) | v127(constB25, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB25) | (~v130(constB25, 1)) | v127(constB25, 1))),
% 53.57/33.77 inference(rewrite,[status(thm)],[])).
% 53.57/33.77 tff(4891,plain,
% 53.57/33.77 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB25) | (~v130(constB25, 1)) | v127(constB25, 1))),
% 53.57/33.77 inference(quant_inst,[status(thm)],[])).
% 53.57/33.77 tff(4892,plain,
% 53.57/33.77 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB25) | (~v130(constB25, 1)) | v127(constB25, 1)),
% 53.57/33.77 inference(modus_ponens,[status(thm)],[4891, 4890])).
% 53.57/33.77 tff(4893,plain,
% 53.57/33.77 ((~v130(constB25, 1)) | v127(constB25, 1)),
% 53.57/33.77 inference(unit_resolution,[status(thm)],[4892, 1593, 4712])).
% 53.57/33.77 tff(4894,plain,
% 53.57/33.77 (~v130(constB25, 1)),
% 53.57/33.77 inference(unit_resolution,[status(thm)],[4893, 4889])).
% 53.57/33.77 tff(4895,plain,
% 53.57/33.77 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB26, 2) | (~v129(constB26, 2)) | (~v100(constB26)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB26, 2) | (~v129(constB26, 2)) | (~v100(constB26)))),
% 53.57/33.77 inference(rewrite,[status(thm)],[])).
% 53.57/33.77 tff(4896,plain,
% 53.57/33.77 ((v90(constB26, 2) | (~v100(constB26)) | (~v129(constB26, 2))) <=> (v90(constB26, 2) | (~v129(constB26, 2)) | (~v100(constB26)))),
% 53.57/33.77 inference(rewrite,[status(thm)],[])).
% 53.57/33.77 tff(4897,plain,
% 53.57/33.77 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB26, 2) | (~v100(constB26)) | (~v129(constB26, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB26, 2) | (~v129(constB26, 2)) | (~v100(constB26))))),
% 53.57/33.77 inference(monotonicity,[status(thm)],[4896])).
% 53.57/33.77 tff(4898,plain,
% 53.57/33.77 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB26, 2) | (~v100(constB26)) | (~v129(constB26, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB26, 2) | (~v129(constB26, 2)) | (~v100(constB26)))),
% 53.57/33.77 inference(transitivity,[status(thm)],[4897, 4895])).
% 53.57/33.77 tff(4899,plain,
% 53.57/33.77 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB26, 2) | (~v100(constB26)) | (~v129(constB26, 2)))),
% 53.57/33.77 inference(quant_inst,[status(thm)],[])).
% 53.57/33.77 tff(4900,plain,
% 53.57/33.77 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB26, 2) | (~v129(constB26, 2)) | (~v100(constB26))),
% 53.57/33.77 inference(modus_ponens,[status(thm)],[4899, 4898])).
% 53.57/33.77 tff(4901,plain,
% 53.57/33.77 ((~v129(constB26, 2)) | (~v100(constB26))),
% 53.57/33.77 inference(unit_resolution,[status(thm)],[4900, 2324, 4771])).
% 53.57/33.77 tff(4902,plain,
% 53.57/33.77 (~v129(constB26, 2)),
% 53.57/33.77 inference(unit_resolution,[status(thm)],[4901, 4877])).
% 53.57/33.77 tff(4903,plain,
% 53.57/33.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB25, constB26)) | (~v127(constB25, 2)) | v129(constB26, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB25, constB26)) | (~v127(constB25, 2)) | v129(constB26, 2))),
% 53.57/33.77 inference(rewrite,[status(thm)],[])).
% 53.57/33.77 tff(4904,plain,
% 53.57/33.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB25, constB26)) | (~v127(constB25, 2)) | v129(constB26, 2))),
% 53.57/33.77 inference(quant_inst,[status(thm)],[])).
% 53.57/33.77 tff(4905,plain,
% 53.57/33.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB25, constB26)) | (~v127(constB25, 2)) | v129(constB26, 2)),
% 53.57/33.77 inference(modus_ponens,[status(thm)],[4904, 4903])).
% 53.57/33.77 tff(4906,plain,
% 53.57/33.77 ((~v127(constB25, 2)) | v129(constB26, 2)),
% 53.57/33.77 inference(unit_resolution,[status(thm)],[4905, 1999, 4723])).
% 53.57/33.77 tff(4907,plain,
% 53.57/33.77 (~v127(constB25, 2)),
% 53.57/33.77 inference(unit_resolution,[status(thm)],[4906, 4902])).
% 53.57/33.77 tff(4908,plain,
% 53.57/33.77 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB25) | (~v130(constB25, 2)) | v127(constB25, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB25) | (~v130(constB25, 2)) | v127(constB25, 2))),
% 53.57/33.77 inference(rewrite,[status(thm)],[])).
% 53.57/33.77 tff(4909,plain,
% 53.57/33.77 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB25) | (~v130(constB25, 2)) | v127(constB25, 2))),
% 53.57/33.77 inference(quant_inst,[status(thm)],[])).
% 53.57/33.77 tff(4910,plain,
% 53.57/33.77 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB25) | (~v130(constB25, 2)) | v127(constB25, 2)),
% 53.57/33.77 inference(modus_ponens,[status(thm)],[4909, 4908])).
% 53.57/33.77 tff(4911,plain,
% 53.57/33.77 ((~v130(constB25, 2)) | v127(constB25, 2)),
% 53.57/33.77 inference(unit_resolution,[status(thm)],[4910, 1981, 4712])).
% 53.57/33.77 tff(4912,plain,
% 53.57/33.77 (~v130(constB25, 2)),
% 53.57/33.77 inference(unit_resolution,[status(thm)],[4911, 4907])).
% 53.57/33.77 tff(4913,plain,
% 53.57/33.77 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB25)) | v130(constB25, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB25)) | v130(constB25, 2))),
% 53.57/33.77 inference(rewrite,[status(thm)],[])).
% 53.57/33.77 tff(4914,plain,
% 53.57/33.77 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB25)) | v130(constB25, 2))),
% 53.57/33.77 inference(quant_inst,[status(thm)],[])).
% 53.57/33.77 tff(4915,plain,
% 53.57/33.77 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB25)) | v130(constB25, 2)),
% 53.57/33.77 inference(modus_ponens,[status(thm)],[4914, 4913])).
% 53.57/33.77 tff(4916,plain,
% 53.57/33.77 (~v123(constB25)),
% 53.57/33.77 inference(unit_resolution,[status(thm)],[4915, 2525, 4912])).
% 53.57/33.77 tff(4917,plain,
% 53.57/33.77 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB25)) | v130(constB25, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB25)) | v130(constB25, 2))),
% 53.57/33.77 inference(rewrite,[status(thm)],[])).
% 53.57/33.77 tff(4918,plain,
% 53.57/33.77 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB25)) | v130(constB25, 2))),
% 53.57/33.77 inference(quant_inst,[status(thm)],[])).
% 53.57/33.77 tff(4919,plain,
% 53.57/33.77 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB25)) | v130(constB25, 2)),
% 53.57/33.77 inference(modus_ponens,[status(thm)],[4918, 4917])).
% 53.57/33.77 tff(4920,plain,
% 53.57/33.77 (~v122(constB25)),
% 53.57/33.77 inference(unit_resolution,[status(thm)],[4919, 1967, 4912])).
% 53.57/33.77 tff(4921,plain,
% 53.57/33.77 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB26, 0) | (~v129(constB26, 0)) | (~v100(constB26)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB26, 0) | (~v129(constB26, 0)) | (~v100(constB26)))),
% 53.57/33.77 inference(rewrite,[status(thm)],[])).
% 53.57/33.77 tff(4922,plain,
% 53.57/33.77 ((v90(constB26, 0) | (~v100(constB26)) | (~v129(constB26, 0))) <=> (v90(constB26, 0) | (~v129(constB26, 0)) | (~v100(constB26)))),
% 53.57/33.77 inference(rewrite,[status(thm)],[])).
% 53.57/33.77 tff(4923,plain,
% 53.57/33.77 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB26, 0) | (~v100(constB26)) | (~v129(constB26, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB26, 0) | (~v129(constB26, 0)) | (~v100(constB26))))),
% 53.57/33.77 inference(monotonicity,[status(thm)],[4922])).
% 53.57/33.77 tff(4924,plain,
% 53.57/33.77 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB26, 0) | (~v100(constB26)) | (~v129(constB26, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB26, 0) | (~v129(constB26, 0)) | (~v100(constB26)))),
% 53.57/33.77 inference(transitivity,[status(thm)],[4923, 4921])).
% 53.57/33.77 tff(4925,plain,
% 53.57/33.77 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB26, 0) | (~v100(constB26)) | (~v129(constB26, 0)))),
% 53.57/33.77 inference(quant_inst,[status(thm)],[])).
% 53.57/33.77 tff(4926,plain,
% 53.57/33.77 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB26, 0) | (~v129(constB26, 0)) | (~v100(constB26))),
% 53.57/33.77 inference(modus_ponens,[status(thm)],[4925, 4924])).
% 53.57/33.77 tff(4927,plain,
% 53.57/33.77 ((~v129(constB26, 0)) | (~v100(constB26))),
% 53.57/33.77 inference(unit_resolution,[status(thm)],[4926, 1377, 4770])).
% 53.57/33.77 tff(4928,plain,
% 53.57/33.77 (~v129(constB26, 0)),
% 53.57/33.77 inference(unit_resolution,[status(thm)],[4927, 4877])).
% 53.57/33.77 tff(4929,plain,
% 53.57/33.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB25, constB26)) | (~v127(constB25, 0)) | v129(constB26, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB25, constB26)) | (~v127(constB25, 0)) | v129(constB26, 0))),
% 53.57/33.77 inference(rewrite,[status(thm)],[])).
% 53.57/33.77 tff(4930,plain,
% 53.57/33.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB25, constB26)) | (~v127(constB25, 0)) | v129(constB26, 0))),
% 53.57/33.77 inference(quant_inst,[status(thm)],[])).
% 53.57/33.77 tff(4931,plain,
% 53.57/33.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB25, constB26)) | (~v127(constB25, 0)) | v129(constB26, 0)),
% 53.57/33.77 inference(modus_ponens,[status(thm)],[4930, 4929])).
% 53.57/33.77 tff(4932,plain,
% 53.57/33.77 ((~v127(constB25, 0)) | v129(constB26, 0)),
% 53.57/33.77 inference(unit_resolution,[status(thm)],[4931, 1362, 4723])).
% 53.57/33.77 tff(4933,plain,
% 53.57/33.77 (~v127(constB25, 0)),
% 53.57/33.77 inference(unit_resolution,[status(thm)],[4932, 4928])).
% 53.57/33.77 tff(4934,plain,
% 53.57/33.77 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB25) | (~v130(constB25, 0)) | v127(constB25, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB25) | (~v130(constB25, 0)) | v127(constB25, 0))),
% 53.57/33.77 inference(rewrite,[status(thm)],[])).
% 53.57/33.77 tff(4935,plain,
% 53.57/33.77 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB25) | (~v130(constB25, 0)) | v127(constB25, 0))),
% 53.57/33.77 inference(quant_inst,[status(thm)],[])).
% 53.57/33.77 tff(4936,plain,
% 53.57/33.77 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB25) | (~v130(constB25, 0)) | v127(constB25, 0)),
% 53.61/33.77 inference(modus_ponens,[status(thm)],[4935, 4934])).
% 53.61/33.77 tff(4937,plain,
% 53.61/33.77 ((~v130(constB25, 0)) | v127(constB25, 0)),
% 53.61/33.77 inference(unit_resolution,[status(thm)],[4936, 1347, 4712])).
% 53.61/33.77 tff(4938,plain,
% 53.61/33.77 (~v130(constB25, 0)),
% 53.61/33.77 inference(unit_resolution,[status(thm)],[4937, 4933])).
% 53.61/33.77 tff(4939,plain,
% 53.61/33.77 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB25)) | v130(constB25, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB25)) | v130(constB25, 2))),
% 53.61/33.77 inference(rewrite,[status(thm)],[])).
% 53.61/33.77 tff(4940,plain,
% 53.61/33.77 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB25)) | v130(constB25, 2))),
% 53.61/33.77 inference(quant_inst,[status(thm)],[])).
% 53.61/33.77 tff(4941,plain,
% 53.61/33.77 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB25)) | v130(constB25, 2)),
% 53.61/33.77 inference(modus_ponens,[status(thm)],[4940, 4939])).
% 53.61/33.77 tff(4942,plain,
% 53.61/33.77 (~v124(constB25)),
% 53.61/33.77 inference(unit_resolution,[status(thm)],[4941, 2741, 4912])).
% 53.61/33.77 tff(4943,assumption,(~v130(constB25, 0)), introduced(assumption)).
% 53.61/33.77 tff(4944,plain,
% 53.61/33.77 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB25)) | v130(constB25, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB25)) | v130(constB25, 0))),
% 53.61/33.77 inference(rewrite,[status(thm)],[])).
% 53.61/33.77 tff(4945,plain,
% 53.61/33.77 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB25)) | v130(constB25, 0))),
% 53.61/33.77 inference(quant_inst,[status(thm)],[])).
% 53.61/33.77 tff(4946,plain,
% 53.61/33.77 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB25)) | v130(constB25, 0)),
% 53.61/33.77 inference(modus_ponens,[status(thm)],[4945, 4944])).
% 53.61/33.77 tff(4947,plain,
% 53.61/33.77 (~v121(constB25)),
% 53.61/33.77 inference(unit_resolution,[status(thm)],[4946, 1915, 4943])).
% 53.61/33.77 tff(4948,plain,
% 53.61/33.77 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB25)) | v130(constB25, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB25)) | v130(constB25, 0))),
% 53.61/33.77 inference(rewrite,[status(thm)],[])).
% 53.61/33.77 tff(4949,plain,
% 53.61/33.77 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB25)) | v130(constB25, 0))),
% 53.61/33.77 inference(quant_inst,[status(thm)],[])).
% 53.61/33.77 tff(4950,plain,
% 53.61/33.77 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB25)) | v130(constB25, 0)),
% 53.61/33.77 inference(modus_ponens,[status(thm)],[4949, 4948])).
% 53.61/33.77 tff(4951,plain,
% 53.61/33.77 (~v119(constB25)),
% 53.61/33.77 inference(unit_resolution,[status(thm)],[4950, 1333, 4943])).
% 53.61/33.77 tff(4952,assumption,(~v120(constB25)), introduced(assumption)).
% 53.61/33.77 tff(4953,plain,
% 53.61/33.77 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | v130(constB25, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | v130(constB25, 0))),
% 53.61/33.77 inference(rewrite,[status(thm)],[])).
% 53.61/33.77 tff(4954,plain,
% 53.61/33.77 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | v130(constB25, 0))),
% 53.61/33.77 inference(quant_inst,[status(thm)],[])).
% 53.61/33.77 tff(4955,plain,
% 53.61/33.77 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | v130(constB25, 0)),
% 53.61/33.77 inference(modus_ponens,[status(thm)],[4954, 4953])).
% 53.61/33.77 tff(4956,plain,
% 53.61/33.77 (v119(constB25) | v121(constB25) | v123(constB25) | v130(constB25, 0)),
% 53.61/33.77 inference(unit_resolution,[status(thm)],[4955, 3413, 4700, 4699, 4952])).
% 53.61/33.77 tff(4957,plain,
% 53.61/33.77 ($false),
% 53.61/33.77 inference(unit_resolution,[status(thm)],[4956, 4951, 4947, 4701, 4943])).
% 53.61/33.77 tff(4958,plain,(v130(constB25, 0) | v123(constB25) | v124(constB25) | v122(constB25) | v120(constB25)), inference(lemma,lemma(discharge,[]))).
% 53.61/33.77 tff(4959,plain,
% 53.61/33.77 (v120(constB25)),
% 53.61/33.77 inference(unit_resolution,[status(thm)],[4958, 4942, 4938, 4920, 4916])).
% 53.61/33.77 tff(4960,plain,
% 53.61/33.77 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB25)) | v130(constB25, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB25)) | v130(constB25, 1))),
% 53.61/33.77 inference(rewrite,[status(thm)],[])).
% 53.61/33.77 tff(4961,plain,
% 53.61/33.77 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB25)) | v130(constB25, 1))),
% 53.61/33.77 inference(quant_inst,[status(thm)],[])).
% 53.61/33.77 tff(4962,plain,
% 53.61/33.77 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB25)) | v130(constB25, 1)),
% 53.61/33.77 inference(modus_ponens,[status(thm)],[4961, 4960])).
% 53.61/33.77 tff(4963,plain,
% 53.61/33.77 ($false),
% 53.61/33.77 inference(unit_resolution,[status(thm)],[4962, 1579, 4959, 4894])).
% 53.61/33.77 tff(4964,plain,(v90(constB26, 1) | v90(constB26, 0) | v90(constB26, 2)), inference(lemma,lemma(discharge,[]))).
% 53.61/33.77 tff(4965,plain,
% 53.61/33.77 (v90(constB26, 1)),
% 53.61/33.77 inference(unit_resolution,[status(thm)],[4964, 4770, 4771])).
% 53.61/33.77 tff(4966,plain,
% 53.61/33.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB25, 1) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB25, 1) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, 1)))),
% 53.61/33.77 inference(rewrite,[status(thm)],[])).
% 53.61/33.77 tff(4967,plain,
% 53.61/33.77 (((~nextState(constB25, constB26)) | v90(constB25, 1) | v100(constB26) | (~v90(constB26, 1))) <=> (v90(constB25, 1) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, 1)))),
% 53.61/33.77 inference(rewrite,[status(thm)],[])).
% 53.61/33.77 tff(4968,plain,
% 53.61/33.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB25, constB26)) | v90(constB25, 1) | v100(constB26) | (~v90(constB26, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB25, 1) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, 1))))),
% 53.61/33.77 inference(monotonicity,[status(thm)],[4967])).
% 53.61/33.77 tff(4969,plain,
% 53.61/33.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB25, constB26)) | v90(constB25, 1) | v100(constB26) | (~v90(constB26, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB25, 1) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, 1)))),
% 53.61/33.77 inference(transitivity,[status(thm)],[4968, 4966])).
% 53.61/33.77 tff(4970,plain,
% 53.61/33.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB25, constB26)) | v90(constB25, 1) | v100(constB26) | (~v90(constB26, 1)))),
% 53.61/33.77 inference(quant_inst,[status(thm)],[])).
% 53.61/33.77 tff(4971,plain,
% 53.61/33.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB25, 1) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, 1))),
% 53.61/33.77 inference(modus_ponens,[status(thm)],[4970, 4969])).
% 53.61/33.77 tff(4972,plain,
% 53.61/33.77 (v90(constB25, 1) | v100(constB26) | (~v90(constB26, 1))),
% 53.61/33.77 inference(unit_resolution,[status(thm)],[4971, 926, 4723])).
% 53.61/33.78 tff(4973,plain,
% 53.61/33.78 (v90(constB25, 1)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[4972, 4769, 4965])).
% 53.61/33.78 tff(4974,plain,
% 53.61/33.78 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB25, 0) | (~v90(constB25, 1)) | v90(constB25, 2) | v121(constB25))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB25, 0) | (~v90(constB25, 1)) | v90(constB25, 2) | v121(constB25))),
% 53.61/33.78 inference(rewrite,[status(thm)],[])).
% 53.61/33.78 tff(4975,plain,
% 53.61/33.78 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB25, 0) | (~v90(constB25, 1)) | v90(constB25, 2) | v121(constB25))),
% 53.61/33.78 inference(quant_inst,[status(thm)],[])).
% 53.61/33.78 tff(4976,plain,
% 53.61/33.78 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB25, 0) | (~v90(constB25, 1)) | v90(constB25, 2) | v121(constB25)),
% 53.61/33.78 inference(modus_ponens,[status(thm)],[4975, 4974])).
% 53.61/33.78 tff(4977,plain,
% 53.61/33.78 (v121(constB25)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[4976, 1731, 4839, 4973, 4779])).
% 53.61/33.78 tff(4978,plain,
% 53.61/33.78 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB25) | (~v121(constB25)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB25) | (~v121(constB25)))),
% 53.61/33.78 inference(rewrite,[status(thm)],[])).
% 53.61/33.78 tff(4979,plain,
% 53.61/33.78 (((~v121(constB25)) | v117(constB25)) <=> (v117(constB25) | (~v121(constB25)))),
% 53.61/33.78 inference(rewrite,[status(thm)],[])).
% 53.61/33.78 tff(4980,plain,
% 53.61/33.78 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB25)) | v117(constB25))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB25) | (~v121(constB25))))),
% 53.61/33.78 inference(monotonicity,[status(thm)],[4979])).
% 53.61/33.78 tff(4981,plain,
% 53.61/33.78 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB25)) | v117(constB25))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB25) | (~v121(constB25)))),
% 53.61/33.78 inference(transitivity,[status(thm)],[4980, 4978])).
% 53.61/33.78 tff(4982,plain,
% 53.61/33.78 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB25)) | v117(constB25))),
% 53.61/33.78 inference(quant_inst,[status(thm)],[])).
% 53.61/33.78 tff(4983,plain,
% 53.61/33.78 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB25) | (~v121(constB25))),
% 53.61/33.78 inference(modus_ponens,[status(thm)],[4982, 4981])).
% 53.61/33.78 tff(4984,plain,
% 53.61/33.78 (v117(constB25)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[4983, 1742, 4977])).
% 53.61/33.78 tff(4985,plain,
% 53.61/33.78 (v116(constB25)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[4866, 1007, 4984])).
% 53.61/33.78 tff(4986,plain,
% 53.61/33.78 (v112(constB25) | (~v113(constB25))),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[4808, 1063, 4712])).
% 53.61/33.78 tff(4987,plain,
% 53.61/33.78 (~v113(constB25)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[4986, 4795])).
% 53.61/33.78 tff(4988,plain,
% 53.61/33.78 (~v114(constB25)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[4815, 1049, 4987])).
% 53.61/33.78 tff(4989,plain,
% 53.61/33.78 (~v115(constB25)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[4822, 1035, 4988])).
% 53.61/33.78 tff(4990,plain,
% 53.61/33.78 ($false),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[4873, 1021, 4989, 4985])).
% 53.61/33.78 tff(4991,plain,(v110(constB26) | v90(constB26, 0) | v90(constB26, 2)), inference(lemma,lemma(discharge,[]))).
% 53.61/33.78 tff(4992,plain,
% 53.61/33.78 (v90(constB26, 2)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[4991, 4770, 4754])).
% 53.61/33.78 tff(4993,plain,
% 53.61/33.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB25, 2) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB25, 2) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, 2)))),
% 53.61/33.78 inference(rewrite,[status(thm)],[])).
% 53.61/33.78 tff(4994,plain,
% 53.61/33.78 (((~nextState(constB25, constB26)) | v90(constB25, 2) | v100(constB26) | (~v90(constB26, 2))) <=> (v90(constB25, 2) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, 2)))),
% 53.61/33.78 inference(rewrite,[status(thm)],[])).
% 53.61/33.78 tff(4995,plain,
% 53.61/33.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB25, constB26)) | v90(constB25, 2) | v100(constB26) | (~v90(constB26, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB25, 2) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, 2))))),
% 53.61/33.78 inference(monotonicity,[status(thm)],[4994])).
% 53.61/33.78 tff(4996,plain,
% 53.61/33.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB25, constB26)) | v90(constB25, 2) | v100(constB26) | (~v90(constB26, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB25, 2) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, 2)))),
% 53.61/33.78 inference(transitivity,[status(thm)],[4995, 4993])).
% 53.61/33.78 tff(4997,plain,
% 53.61/33.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB25, constB26)) | v90(constB25, 2) | v100(constB26) | (~v90(constB26, 2)))),
% 53.61/33.78 inference(quant_inst,[status(thm)],[])).
% 53.61/33.78 tff(4998,plain,
% 53.61/33.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB25, 2) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, 2))),
% 53.61/33.78 inference(modus_ponens,[status(thm)],[4997, 4996])).
% 53.61/33.78 tff(4999,plain,
% 53.61/33.78 (v90(constB25, 2) | v100(constB26) | (~v90(constB26, 2))),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[4998, 905, 4723])).
% 53.61/33.78 tff(5000,plain,
% 53.61/33.78 (v90(constB25, 2)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[4999, 4992, 4769])).
% 53.61/33.78 tff(5001,plain,
% 53.61/33.78 (~v90(constB25, 0)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[4838, 4770, 4769])).
% 53.61/33.78 tff(5002,plain,
% 53.61/33.78 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB25) | (~v125(constB25)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB25) | (~v125(constB25)))),
% 53.61/33.78 inference(rewrite,[status(thm)],[])).
% 53.61/33.78 tff(5003,plain,
% 53.61/33.78 (((~v125(constB25)) | v113(constB25)) <=> (v113(constB25) | (~v125(constB25)))),
% 53.61/33.78 inference(rewrite,[status(thm)],[])).
% 53.61/33.78 tff(5004,plain,
% 53.61/33.78 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB25)) | v113(constB25))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB25) | (~v125(constB25))))),
% 53.61/33.78 inference(monotonicity,[status(thm)],[5003])).
% 53.61/33.78 tff(5005,plain,
% 53.61/33.78 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB25)) | v113(constB25))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB25) | (~v125(constB25)))),
% 53.61/33.78 inference(transitivity,[status(thm)],[5004, 5002])).
% 53.61/33.78 tff(5006,plain,
% 53.61/33.78 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB25)) | v113(constB25))),
% 53.61/33.78 inference(quant_inst,[status(thm)],[])).
% 53.61/33.78 tff(5007,plain,
% 53.61/33.78 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB25) | (~v125(constB25))),
% 53.61/33.78 inference(modus_ponens,[status(thm)],[5006, 5005])).
% 53.61/33.78 tff(5008,plain,
% 53.61/33.78 (~v125(constB25)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[5007, 2262, 4987])).
% 53.61/33.78 tff(5009,plain,
% 53.61/33.78 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB25, 0) | (~v90(constB25, 1)) | (~v90(constB25, 2)) | v125(constB25))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB25, 0) | (~v90(constB25, 1)) | (~v90(constB25, 2)) | v125(constB25))),
% 53.61/33.78 inference(rewrite,[status(thm)],[])).
% 53.61/33.78 tff(5010,plain,
% 53.61/33.78 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB25, 0) | (~v90(constB25, 1)) | (~v90(constB25, 2)) | v125(constB25))),
% 53.61/33.78 inference(quant_inst,[status(thm)],[])).
% 53.61/33.78 tff(5011,plain,
% 53.61/33.78 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB25, 0) | (~v90(constB25, 1)) | (~v90(constB25, 2)) | v125(constB25)),
% 53.61/33.78 inference(modus_ponens,[status(thm)],[5010, 5009])).
% 53.61/33.78 tff(5012,plain,
% 53.61/33.78 (v90(constB25, 0) | (~v90(constB25, 1)) | (~v90(constB25, 2))),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[5011, 2279, 5008])).
% 53.61/33.78 tff(5013,plain,
% 53.61/33.78 (~v90(constB25, 1)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[5012, 5001, 5000])).
% 53.61/33.78 tff(5014,plain,
% 53.61/33.78 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB25) | (~v123(constB25)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB25) | (~v123(constB25)))),
% 53.61/33.78 inference(rewrite,[status(thm)],[])).
% 53.61/33.78 tff(5015,plain,
% 53.61/33.78 (((~v123(constB25)) | v115(constB25)) <=> (v115(constB25) | (~v123(constB25)))),
% 53.61/33.78 inference(rewrite,[status(thm)],[])).
% 53.61/33.78 tff(5016,plain,
% 53.61/33.78 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB25)) | v115(constB25))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB25) | (~v123(constB25))))),
% 53.61/33.78 inference(monotonicity,[status(thm)],[5015])).
% 53.61/33.78 tff(5017,plain,
% 53.61/33.78 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB25)) | v115(constB25))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB25) | (~v123(constB25)))),
% 53.61/33.78 inference(transitivity,[status(thm)],[5016, 5014])).
% 53.61/33.78 tff(5018,plain,
% 53.61/33.78 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB25)) | v115(constB25))),
% 53.61/33.78 inference(quant_inst,[status(thm)],[])).
% 53.61/33.78 tff(5019,plain,
% 53.61/33.78 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB25) | (~v123(constB25))),
% 53.61/33.78 inference(modus_ponens,[status(thm)],[5018, 5017])).
% 53.61/33.78 tff(5020,plain,
% 53.61/33.78 (~v123(constB25)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[5019, 2291, 4989])).
% 53.61/33.78 tff(5021,plain,
% 53.61/33.78 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB25, 0) | v90(constB25, 1) | (~v90(constB25, 2)) | v123(constB25))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB25, 0) | v90(constB25, 1) | (~v90(constB25, 2)) | v123(constB25))),
% 53.61/33.78 inference(rewrite,[status(thm)],[])).
% 53.61/33.78 tff(5022,plain,
% 53.61/33.78 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB25, 0) | v90(constB25, 1) | (~v90(constB25, 2)) | v123(constB25))),
% 53.61/33.78 inference(quant_inst,[status(thm)],[])).
% 53.61/33.78 tff(5023,plain,
% 53.61/33.78 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB25, 0) | v90(constB25, 1) | (~v90(constB25, 2)) | v123(constB25)),
% 53.61/33.78 inference(modus_ponens,[status(thm)],[5022, 5021])).
% 53.61/33.78 tff(5024,plain,
% 53.61/33.78 (v90(constB25, 0) | v90(constB25, 1) | (~v90(constB25, 2))),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[5023, 2308, 5020])).
% 53.61/33.78 tff(5025,plain,
% 53.61/33.78 ($false),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[5024, 5013, 5001, 5000])).
% 53.61/33.78 tff(5026,plain,(v90(constB26, 0) | v110(constB26)), inference(lemma,lemma(discharge,[]))).
% 53.61/33.78 tff(5027,plain,
% 53.61/33.78 (v90(constB26, 0)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[5026, 4753])).
% 53.61/33.78 tff(5028,assumption,(v120(constB25)), introduced(assumption)).
% 53.61/33.78 tff(5029,plain,
% 53.61/33.78 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB25) | (~v120(constB25)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB25) | (~v120(constB25)))),
% 53.61/33.78 inference(rewrite,[status(thm)],[])).
% 53.61/33.78 tff(5030,plain,
% 53.61/33.78 (((~v120(constB25)) | v118(constB25)) <=> (v118(constB25) | (~v120(constB25)))),
% 53.61/33.78 inference(rewrite,[status(thm)],[])).
% 53.61/33.78 tff(5031,plain,
% 53.61/33.78 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB25)) | v118(constB25))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB25) | (~v120(constB25))))),
% 53.61/33.78 inference(monotonicity,[status(thm)],[5030])).
% 53.61/33.78 tff(5032,plain,
% 53.61/33.78 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB25)) | v118(constB25))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB25) | (~v120(constB25)))),
% 53.61/33.78 inference(transitivity,[status(thm)],[5031, 5029])).
% 53.61/33.78 tff(5033,plain,
% 53.61/33.78 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB25)) | v118(constB25))),
% 53.61/33.78 inference(quant_inst,[status(thm)],[])).
% 53.61/33.78 tff(5034,plain,
% 53.61/33.78 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB25) | (~v120(constB25))),
% 53.61/33.78 inference(modus_ponens,[status(thm)],[5033, 5032])).
% 53.61/33.78 tff(5035,plain,
% 53.61/33.78 (v118(constB25)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[5034, 1425, 5028])).
% 53.61/33.78 tff(5036,plain,
% 53.61/33.78 (v117(constB25)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[4859, 993, 5035])).
% 53.61/33.78 tff(5037,plain,
% 53.61/33.78 (v116(constB25)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[4866, 1007, 5036])).
% 53.61/33.78 tff(5038,plain,
% 53.61/33.78 (v115(constB25)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[4873, 1021, 5037])).
% 53.61/33.78 tff(5039,plain,
% 53.61/33.78 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB25)) | (~v130(constB25, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB25)) | (~v130(constB25, 0)))),
% 53.61/33.78 inference(rewrite,[status(thm)],[])).
% 53.61/33.78 tff(5040,plain,
% 53.61/33.78 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB25)) | (~v130(constB25, 0)))),
% 53.61/33.78 inference(quant_inst,[status(thm)],[])).
% 53.61/33.78 tff(5041,plain,
% 53.61/33.78 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB25)) | (~v130(constB25, 0))),
% 53.61/33.78 inference(modus_ponens,[status(thm)],[5040, 5039])).
% 53.61/33.78 tff(5042,plain,
% 53.61/33.78 (~v130(constB25, 0)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[5041, 1657, 5028])).
% 53.61/33.78 tff(5043,plain,
% 53.61/33.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB25, 0)) | v26(constB25) | v130(constB25, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB25, 0)) | v26(constB25) | v130(constB25, 0))),
% 53.61/33.78 inference(rewrite,[status(thm)],[])).
% 53.61/33.78 tff(5044,plain,
% 53.61/33.78 ((v26(constB25) | v130(constB25, 0) | (~v127(constB25, 0))) <=> ((~v127(constB25, 0)) | v26(constB25) | v130(constB25, 0))),
% 53.61/33.78 inference(rewrite,[status(thm)],[])).
% 53.61/33.78 tff(5045,plain,
% 53.61/33.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB25) | v130(constB25, 0) | (~v127(constB25, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB25, 0)) | v26(constB25) | v130(constB25, 0)))),
% 53.61/33.78 inference(monotonicity,[status(thm)],[5044])).
% 53.61/33.78 tff(5046,plain,
% 53.61/33.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB25) | v130(constB25, 0) | (~v127(constB25, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB25, 0)) | v26(constB25) | v130(constB25, 0))),
% 53.61/33.78 inference(transitivity,[status(thm)],[5045, 5043])).
% 53.61/33.78 tff(5047,plain,
% 53.61/33.78 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB25) | v130(constB25, 0) | (~v127(constB25, 0)))),
% 53.61/33.78 inference(quant_inst,[status(thm)],[])).
% 53.61/33.78 tff(5048,plain,
% 53.61/33.78 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB25, 0)) | v26(constB25) | v130(constB25, 0)),
% 53.61/33.78 inference(modus_ponens,[status(thm)],[5047, 5046])).
% 53.61/33.78 tff(5049,plain,
% 53.61/33.78 ((~v127(constB25, 0)) | v130(constB25, 0)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[5048, 1671, 4712])).
% 53.61/33.78 tff(5050,plain,
% 53.61/33.78 (~v127(constB25, 0)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[5049, 5042])).
% 53.61/33.78 tff(5051,plain,
% 53.61/33.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB25, constB26)) | v127(constB25, 0) | (~v129(constB26, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB25, constB26)) | v127(constB25, 0) | (~v129(constB26, 0)))),
% 53.61/33.78 inference(rewrite,[status(thm)],[])).
% 53.61/33.78 tff(5052,plain,
% 53.61/33.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB25, constB26)) | v127(constB25, 0) | (~v129(constB26, 0)))),
% 53.61/33.78 inference(quant_inst,[status(thm)],[])).
% 53.61/33.78 tff(5053,plain,
% 53.61/33.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB25, constB26)) | v127(constB25, 0) | (~v129(constB26, 0))),
% 53.61/33.78 inference(modus_ponens,[status(thm)],[5052, 5051])).
% 53.61/33.78 tff(5054,plain,
% 53.61/33.78 (v127(constB25, 0) | (~v129(constB26, 0))),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[5053, 1689, 4723])).
% 53.61/33.78 tff(5055,plain,
% 53.61/33.78 (~v129(constB26, 0)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[5054, 5050])).
% 53.61/33.78 tff(5056,assumption,(v90(constB26, 0)), introduced(assumption)).
% 53.61/33.78 tff(5057,plain,
% 53.61/33.78 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB26, 0)) | v129(constB26, 0) | (~v100(constB26)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB26, 0)) | v129(constB26, 0) | (~v100(constB26)))),
% 53.61/33.78 inference(rewrite,[status(thm)],[])).
% 53.61/33.78 tff(5058,plain,
% 53.61/33.78 (((~v90(constB26, 0)) | (~v100(constB26)) | v129(constB26, 0)) <=> ((~v90(constB26, 0)) | v129(constB26, 0) | (~v100(constB26)))),
% 53.61/33.78 inference(rewrite,[status(thm)],[])).
% 53.61/33.78 tff(5059,plain,
% 53.61/33.78 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB26, 0)) | (~v100(constB26)) | v129(constB26, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB26, 0)) | v129(constB26, 0) | (~v100(constB26))))),
% 53.61/33.78 inference(monotonicity,[status(thm)],[5058])).
% 53.61/33.78 tff(5060,plain,
% 53.61/33.78 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB26, 0)) | (~v100(constB26)) | v129(constB26, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB26, 0)) | v129(constB26, 0) | (~v100(constB26)))),
% 53.61/33.78 inference(transitivity,[status(thm)],[5059, 5057])).
% 53.61/33.78 tff(5061,plain,
% 53.61/33.78 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB26, 0)) | (~v100(constB26)) | v129(constB26, 0))),
% 53.61/33.78 inference(quant_inst,[status(thm)],[])).
% 53.61/33.78 tff(5062,plain,
% 53.61/33.78 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB26, 0)) | v129(constB26, 0) | (~v100(constB26))),
% 53.61/33.78 inference(modus_ponens,[status(thm)],[5061, 5060])).
% 53.61/33.78 tff(5063,plain,
% 53.61/33.78 (v129(constB26, 0) | (~v100(constB26))),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[5062, 1704, 5056])).
% 53.61/33.78 tff(5064,plain,
% 53.61/33.78 (~v100(constB26)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[5063, 5055])).
% 53.61/33.78 tff(5065,plain,
% 53.61/33.78 (~v110(constB26)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[4752, 5064])).
% 53.61/33.78 tff(5066,plain,
% 53.61/33.78 (~v108(constB25)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[4787, 5065])).
% 53.61/33.78 tff(5067,plain,
% 53.61/33.78 (~v112(constB25)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[4794, 1075, 5066])).
% 53.61/33.78 tff(5068,plain,
% 53.61/33.78 (~v113(constB25)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[4986, 5067])).
% 53.61/33.78 tff(5069,plain,
% 53.61/33.78 (~v114(constB25)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[4815, 1049, 5068])).
% 53.61/33.78 tff(5070,plain,
% 53.61/33.78 ($false),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[4822, 1035, 5069, 5038])).
% 53.61/33.78 tff(5071,plain,((~v120(constB25)) | (~v90(constB26, 0))), inference(lemma,lemma(discharge,[]))).
% 53.61/33.78 tff(5072,plain,
% 53.61/33.78 (~v120(constB25)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[5071, 5027])).
% 53.61/33.78 tff(5073,plain,
% 53.61/33.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB25, 0) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB25, 0) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, 0)))),
% 53.61/33.78 inference(rewrite,[status(thm)],[])).
% 53.61/33.78 tff(5074,plain,
% 53.61/33.78 (((~nextState(constB25, constB26)) | v90(constB25, 0) | v100(constB26) | (~v90(constB26, 0))) <=> (v90(constB25, 0) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, 0)))),
% 53.61/33.78 inference(rewrite,[status(thm)],[])).
% 53.61/33.78 tff(5075,plain,
% 53.61/33.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB25, constB26)) | v90(constB25, 0) | v100(constB26) | (~v90(constB26, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB25, 0) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, 0))))),
% 53.61/33.78 inference(monotonicity,[status(thm)],[5074])).
% 53.61/33.78 tff(5076,plain,
% 53.61/33.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB25, constB26)) | v90(constB25, 0) | v100(constB26) | (~v90(constB26, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB25, 0) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, 0)))),
% 53.61/33.78 inference(transitivity,[status(thm)],[5075, 5073])).
% 53.61/33.78 tff(5077,plain,
% 53.61/33.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB25, constB26)) | v90(constB25, 0) | v100(constB26) | (~v90(constB26, 0)))),
% 53.61/33.78 inference(quant_inst,[status(thm)],[])).
% 53.61/33.78 tff(5078,plain,
% 53.61/33.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB25, 0) | (~nextState(constB25, constB26)) | v100(constB26) | (~v90(constB26, 0))),
% 53.61/33.78 inference(modus_ponens,[status(thm)],[5077, 5076])).
% 53.61/33.78 tff(5079,plain,
% 53.61/33.78 (v90(constB25, 0) | v100(constB26) | (~v90(constB26, 0))),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[5078, 947, 4723])).
% 53.61/33.78 tff(5080,plain,
% 53.61/33.78 (v90(constB25, 0)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[5079, 5027, 4729])).
% 53.61/33.78 tff(5081,assumption,(v90(constB25, 0)), introduced(assumption)).
% 53.61/33.78 tff(5082,plain,
% 53.61/33.78 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB25, 0)) | (~v90(constB25, 1)) | v90(constB25, 2) | v122(constB25))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB25, 0)) | (~v90(constB25, 1)) | v90(constB25, 2) | v122(constB25))),
% 53.61/33.78 inference(rewrite,[status(thm)],[])).
% 53.61/33.78 tff(5083,plain,
% 53.61/33.78 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB25, 0)) | (~v90(constB25, 1)) | v90(constB25, 2) | v122(constB25))),
% 53.61/33.78 inference(quant_inst,[status(thm)],[])).
% 53.61/33.78 tff(5084,plain,
% 53.61/33.78 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB25, 0)) | (~v90(constB25, 1)) | v90(constB25, 2) | v122(constB25)),
% 53.61/33.78 inference(modus_ponens,[status(thm)],[5083, 5082])).
% 53.61/33.78 tff(5085,plain,
% 53.61/33.78 ((~v90(constB25, 0)) | (~v90(constB25, 1)) | v90(constB25, 2)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[5084, 1956, 4699])).
% 53.61/33.78 tff(5086,plain,
% 53.61/33.78 (~v90(constB25, 1)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[5085, 4730, 5081])).
% 53.61/33.78 tff(5087,plain,
% 53.61/33.78 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB25, 0)) | v90(constB25, 1) | v90(constB25, 2) | v120(constB25))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB25, 0)) | v90(constB25, 1) | v90(constB25, 2) | v120(constB25))),
% 53.61/33.78 inference(rewrite,[status(thm)],[])).
% 53.61/33.78 tff(5088,plain,
% 53.61/33.78 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB25, 0)) | v90(constB25, 1) | v90(constB25, 2) | v120(constB25))),
% 53.61/33.78 inference(quant_inst,[status(thm)],[])).
% 53.61/33.78 tff(5089,plain,
% 53.61/33.78 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB25, 0)) | v90(constB25, 1) | v90(constB25, 2) | v120(constB25)),
% 53.61/33.78 inference(modus_ponens,[status(thm)],[5088, 5087])).
% 53.61/33.78 tff(5090,plain,
% 53.61/33.78 ((~v90(constB25, 0)) | v90(constB25, 1) | v90(constB25, 2)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[5089, 1414, 4952])).
% 53.61/33.78 tff(5091,plain,
% 53.61/33.78 ($false),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[5090, 5086, 4730, 5081])).
% 53.61/33.78 tff(5092,plain,(v90(constB25, 2) | (~v90(constB25, 0)) | v120(constB25) | v122(constB25)), inference(lemma,lemma(discharge,[]))).
% 53.61/33.78 tff(5093,plain,
% 53.61/33.78 ($false),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[5092, 5080, 5072, 4699, 4730])).
% 53.61/33.78 tff(5094,plain,(v100(constB26) | v122(constB25) | v90(constB25, 2)), inference(lemma,lemma(discharge,[]))).
% 53.61/33.78 tff(5095,plain,
% 53.61/33.78 (v90(constB25, 2)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[5094, 4729, 4699])).
% 53.61/33.78 tff(5096,plain,
% 53.61/33.78 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB25, 0)) | v90(constB25, 1) | (~v90(constB25, 2)) | v124(constB25))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB25, 0)) | v90(constB25, 1) | (~v90(constB25, 2)) | v124(constB25))),
% 53.61/33.78 inference(rewrite,[status(thm)],[])).
% 53.61/33.78 tff(5097,plain,
% 53.61/33.78 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB25, 0)) | v90(constB25, 1) | (~v90(constB25, 2)) | v124(constB25))),
% 53.61/33.78 inference(quant_inst,[status(thm)],[])).
% 53.61/33.78 tff(5098,plain,
% 53.61/33.78 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB25, 0)) | v90(constB25, 1) | (~v90(constB25, 2)) | v124(constB25)),
% 53.61/33.78 inference(modus_ponens,[status(thm)],[5097, 5096])).
% 53.61/33.78 tff(5099,plain,
% 53.61/33.78 (v90(constB25, 1)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[5098, 2663, 5080, 5095, 4700])).
% 53.61/33.78 tff(5100,plain,
% 53.61/33.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB24, 1) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB24, 1) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 1)))),
% 53.61/33.78 inference(rewrite,[status(thm)],[])).
% 53.61/33.78 tff(5101,plain,
% 53.61/33.78 (((~nextState(constB24, constB25)) | v90(constB24, 1) | v100(constB25) | (~v90(constB25, 1))) <=> (v90(constB24, 1) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 1)))),
% 53.61/33.78 inference(rewrite,[status(thm)],[])).
% 53.61/33.78 tff(5102,plain,
% 53.61/33.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB24, constB25)) | v90(constB24, 1) | v100(constB25) | (~v90(constB25, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB24, 1) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 1))))),
% 53.61/33.78 inference(monotonicity,[status(thm)],[5101])).
% 53.61/33.78 tff(5103,plain,
% 53.61/33.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB24, constB25)) | v90(constB24, 1) | v100(constB25) | (~v90(constB25, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB24, 1) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 1)))),
% 53.61/33.78 inference(transitivity,[status(thm)],[5102, 5100])).
% 53.61/33.78 tff(5104,plain,
% 53.61/33.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB24, constB25)) | v90(constB24, 1) | v100(constB25) | (~v90(constB25, 1)))),
% 53.61/33.78 inference(quant_inst,[status(thm)],[])).
% 53.61/33.78 tff(5105,plain,
% 53.61/33.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB24, 1) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 1))),
% 53.61/33.78 inference(modus_ponens,[status(thm)],[5104, 5103])).
% 53.61/33.78 tff(5106,plain,
% 53.61/33.78 (v90(constB24, 1) | v100(constB25) | (~v90(constB25, 1))),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[5105, 926, 4621])).
% 53.61/33.78 tff(5107,plain,
% 53.61/33.78 (v90(constB24, 1) | (~v90(constB25, 1))),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[5106, 4633])).
% 53.61/33.78 tff(5108,plain,
% 53.61/33.78 (v90(constB24, 1)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[5107, 5099])).
% 53.61/33.78 tff(5109,plain,
% 53.61/33.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB24, 2) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB24, 2) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 2)))),
% 53.61/33.78 inference(rewrite,[status(thm)],[])).
% 53.61/33.78 tff(5110,plain,
% 53.61/33.78 (((~nextState(constB24, constB25)) | v90(constB24, 2) | v100(constB25) | (~v90(constB25, 2))) <=> (v90(constB24, 2) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 2)))),
% 53.61/33.78 inference(rewrite,[status(thm)],[])).
% 53.61/33.78 tff(5111,plain,
% 53.61/33.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB24, constB25)) | v90(constB24, 2) | v100(constB25) | (~v90(constB25, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB24, 2) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 2))))),
% 53.61/33.78 inference(monotonicity,[status(thm)],[5110])).
% 53.61/33.78 tff(5112,plain,
% 53.61/33.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB24, constB25)) | v90(constB24, 2) | v100(constB25) | (~v90(constB25, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB24, 2) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 2)))),
% 53.61/33.78 inference(transitivity,[status(thm)],[5111, 5109])).
% 53.61/33.78 tff(5113,plain,
% 53.61/33.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB24, constB25)) | v90(constB24, 2) | v100(constB25) | (~v90(constB25, 2)))),
% 53.61/33.78 inference(quant_inst,[status(thm)],[])).
% 53.61/33.78 tff(5114,plain,
% 53.61/33.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB24, 2) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 2))),
% 53.61/33.78 inference(modus_ponens,[status(thm)],[5113, 5112])).
% 53.61/33.78 tff(5115,plain,
% 53.61/33.78 (v90(constB24, 2) | v100(constB25) | (~v90(constB25, 2))),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[5114, 905, 4621])).
% 53.61/33.78 tff(5116,plain,
% 53.61/33.78 (v90(constB24, 2) | (~v90(constB25, 2))),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[5115, 4633])).
% 53.61/33.78 tff(5117,plain,
% 53.61/33.78 (v90(constB24, 2)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[5116, 5095])).
% 53.61/33.78 tff(5118,assumption,(~v90(constB23, 2)), introduced(assumption)).
% 53.61/33.78 tff(5119,assumption,(v90(constB24, 2)), introduced(assumption)).
% 53.61/33.78 tff(5120,plain,
% 53.61/33.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB23, 2) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB23, 2) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, 2)))),
% 53.61/33.78 inference(rewrite,[status(thm)],[])).
% 53.61/33.78 tff(5121,plain,
% 53.61/33.78 (((~nextState(constB23, constB24)) | v90(constB23, 2) | v100(constB24) | (~v90(constB24, 2))) <=> (v90(constB23, 2) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, 2)))),
% 53.61/33.78 inference(rewrite,[status(thm)],[])).
% 53.61/33.78 tff(5122,plain,
% 53.61/33.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB23, constB24)) | v90(constB23, 2) | v100(constB24) | (~v90(constB24, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB23, 2) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, 2))))),
% 53.61/33.78 inference(monotonicity,[status(thm)],[5121])).
% 53.61/33.78 tff(5123,plain,
% 53.61/33.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB23, constB24)) | v90(constB23, 2) | v100(constB24) | (~v90(constB24, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB23, 2) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, 2)))),
% 53.61/33.78 inference(transitivity,[status(thm)],[5122, 5120])).
% 53.61/33.78 tff(5124,plain,
% 53.61/33.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB23, constB24)) | v90(constB23, 2) | v100(constB24) | (~v90(constB24, 2)))),
% 53.61/33.78 inference(quant_inst,[status(thm)],[])).
% 53.61/33.78 tff(5125,plain,
% 53.61/33.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB23, 2) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, 2))),
% 53.61/33.78 inference(modus_ponens,[status(thm)],[5124, 5123])).
% 53.61/33.78 tff(5126,plain,
% 53.61/33.78 (v90(constB23, 2) | v100(constB24) | (~v90(constB24, 2))),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[5125, 905, 4562])).
% 53.61/33.78 tff(5127,plain,
% 53.61/33.78 (v100(constB24)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[5126, 5118, 5119])).
% 53.61/33.78 tff(5128,assumption,(v121(constB23)), introduced(assumption)).
% 53.61/33.78 tff(5129,plain,
% 53.61/33.78 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB23)) | v130(constB23, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB23)) | v130(constB23, 1))),
% 53.61/33.78 inference(rewrite,[status(thm)],[])).
% 53.61/33.78 tff(5130,plain,
% 53.61/33.78 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB23)) | v130(constB23, 1))),
% 53.61/33.78 inference(quant_inst,[status(thm)],[])).
% 53.61/33.78 tff(5131,plain,
% 53.61/33.78 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB23)) | v130(constB23, 1)),
% 53.61/33.78 inference(modus_ponens,[status(thm)],[5130, 5129])).
% 53.61/33.78 tff(5132,plain,
% 53.61/33.78 (v130(constB23, 1)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[5131, 1877, 5128])).
% 53.61/33.78 tff(5133,plain,
% 53.61/33.78 (v127(constB23, 1)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[4654, 5132])).
% 53.61/33.78 tff(5134,plain,
% 53.61/33.78 (v129(constB24, 1)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[4659, 5133])).
% 53.61/33.78 tff(5135,assumption,(v100(constB24)), introduced(assumption)).
% 53.61/33.78 tff(5136,plain,
% 53.61/33.78 (v90(constB24, 1) | (~v129(constB24, 1))),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[4666, 1623, 5135])).
% 53.61/33.78 tff(5137,plain,
% 53.61/33.78 (v90(constB24, 1)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[5136, 5134])).
% 53.61/33.78 tff(5138,plain,
% 53.61/33.78 (v90(constB25, 1)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[4676, 5137])).
% 53.61/33.78 tff(5139,plain,
% 53.61/33.78 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB23)) | (~v130(constB23, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB23)) | (~v130(constB23, 2)))),
% 53.61/33.78 inference(rewrite,[status(thm)],[])).
% 53.61/33.78 tff(5140,plain,
% 53.61/33.78 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB23)) | (~v130(constB23, 2)))),
% 53.61/33.78 inference(quant_inst,[status(thm)],[])).
% 53.61/33.78 tff(5141,plain,
% 53.61/33.78 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB23)) | (~v130(constB23, 2))),
% 53.61/33.78 inference(modus_ponens,[status(thm)],[5140, 5139])).
% 53.61/33.78 tff(5142,plain,
% 53.61/33.78 (~v130(constB23, 2)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[5141, 1821, 5128])).
% 53.61/33.78 tff(5143,plain,
% 53.61/33.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB23, 2)) | v26(constB23) | v130(constB23, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB23, 2)) | v26(constB23) | v130(constB23, 2))),
% 53.61/33.78 inference(rewrite,[status(thm)],[])).
% 53.61/33.78 tff(5144,plain,
% 53.61/33.78 ((v26(constB23) | v130(constB23, 2) | (~v127(constB23, 2))) <=> ((~v127(constB23, 2)) | v26(constB23) | v130(constB23, 2))),
% 53.61/33.78 inference(rewrite,[status(thm)],[])).
% 53.61/33.78 tff(5145,plain,
% 53.61/33.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB23) | v130(constB23, 2) | (~v127(constB23, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB23, 2)) | v26(constB23) | v130(constB23, 2)))),
% 53.61/33.78 inference(monotonicity,[status(thm)],[5144])).
% 53.61/33.78 tff(5146,plain,
% 53.61/33.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB23) | v130(constB23, 2) | (~v127(constB23, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB23, 2)) | v26(constB23) | v130(constB23, 2))),
% 53.61/33.78 inference(transitivity,[status(thm)],[5145, 5143])).
% 53.61/33.78 tff(5147,plain,
% 53.61/33.78 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB23) | v130(constB23, 2) | (~v127(constB23, 2)))),
% 53.61/33.78 inference(quant_inst,[status(thm)],[])).
% 53.61/33.78 tff(5148,plain,
% 53.61/33.78 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB23, 2)) | v26(constB23) | v130(constB23, 2)),
% 53.61/33.78 inference(modus_ponens,[status(thm)],[5147, 5146])).
% 53.61/33.78 tff(5149,plain,
% 53.61/33.78 ((~v127(constB23, 2)) | v130(constB23, 2)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[5148, 1190, 4544])).
% 53.61/33.78 tff(5150,plain,
% 53.61/33.78 (~v127(constB23, 2)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[5149, 5142])).
% 53.61/33.78 tff(5151,plain,
% 53.61/33.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB23, constB24)) | v127(constB23, 2) | (~v129(constB24, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB23, constB24)) | v127(constB23, 2) | (~v129(constB24, 2)))),
% 53.61/33.78 inference(rewrite,[status(thm)],[])).
% 53.61/33.78 tff(5152,plain,
% 53.61/33.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB23, constB24)) | v127(constB23, 2) | (~v129(constB24, 2)))),
% 53.61/33.78 inference(quant_inst,[status(thm)],[])).
% 53.61/33.78 tff(5153,plain,
% 53.61/33.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB23, constB24)) | v127(constB23, 2) | (~v129(constB24, 2))),
% 53.61/33.78 inference(modus_ponens,[status(thm)],[5152, 5151])).
% 53.61/33.78 tff(5154,plain,
% 53.61/33.78 (v127(constB23, 2) | (~v129(constB24, 2))),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[5153, 1208, 4562])).
% 53.61/33.78 tff(5155,plain,
% 53.61/33.78 (~v129(constB24, 2)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[5154, 5150])).
% 53.61/33.78 tff(5156,plain,
% 53.61/33.78 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB24, 2)) | v129(constB24, 2) | (~v100(constB24)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB24, 2)) | v129(constB24, 2) | (~v100(constB24)))),
% 53.61/33.78 inference(rewrite,[status(thm)],[])).
% 53.61/33.78 tff(5157,plain,
% 53.61/33.78 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB24, 2)) | v129(constB24, 2) | (~v100(constB24)))),
% 53.61/33.78 inference(quant_inst,[status(thm)],[])).
% 53.61/33.78 tff(5158,plain,
% 53.61/33.78 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB24, 2)) | v129(constB24, 2) | (~v100(constB24))),
% 53.61/33.78 inference(modus_ponens,[status(thm)],[5157, 5156])).
% 53.61/33.78 tff(5159,plain,
% 53.61/33.78 ((~v90(constB24, 2)) | v129(constB24, 2)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[5158, 1223, 5135])).
% 53.61/33.78 tff(5160,plain,
% 53.61/33.78 (~v90(constB24, 2)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[5159, 5155])).
% 53.61/33.78 tff(5161,plain,
% 53.61/33.78 (~v90(constB25, 2)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[5116, 5160])).
% 53.61/33.78 tff(5162,plain,
% 53.61/33.78 ((~v90(constB25, 1)) | v90(constB25, 2)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[5084, 1956, 5081, 4699])).
% 53.61/33.78 tff(5163,plain,
% 53.61/33.78 ($false),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[5162, 5161, 5138])).
% 53.61/33.78 tff(5164,plain,((~v121(constB23)) | (~v90(constB25, 0)) | v122(constB25) | (~v100(constB24))), inference(lemma,lemma(discharge,[]))).
% 53.61/33.78 tff(5165,plain,
% 53.61/33.78 (~v121(constB23)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[5164, 5127, 4699, 5081])).
% 53.61/33.78 tff(5166,plain,
% 53.61/33.78 (~v90(constB22, 2)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[4459, 5118])).
% 53.61/33.78 tff(5167,assumption,(~v90(constB23, 0)), introduced(assumption)).
% 53.61/33.78 tff(5168,plain,
% 53.61/33.78 (~v90(constB22, 0)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[4524, 5167])).
% 53.61/33.78 tff(5169,assumption,(~v121(constB23)), introduced(assumption)).
% 53.61/33.78 tff(5170,plain,
% 53.61/33.78 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB23, 0) | (~v90(constB23, 1)) | v90(constB23, 2) | v121(constB23))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB23, 0) | (~v90(constB23, 1)) | v90(constB23, 2) | v121(constB23))),
% 53.61/33.78 inference(rewrite,[status(thm)],[])).
% 53.61/33.78 tff(5171,plain,
% 53.61/33.78 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB23, 0) | (~v90(constB23, 1)) | v90(constB23, 2) | v121(constB23))),
% 53.61/33.78 inference(quant_inst,[status(thm)],[])).
% 53.61/33.78 tff(5172,plain,
% 53.61/33.78 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB23, 0) | (~v90(constB23, 1)) | v90(constB23, 2) | v121(constB23)),
% 53.61/33.78 inference(modus_ponens,[status(thm)],[5171, 5170])).
% 53.61/33.78 tff(5173,plain,
% 53.61/33.78 (v90(constB23, 0) | (~v90(constB23, 1)) | v90(constB23, 2)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[5172, 1731, 5169])).
% 53.61/33.78 tff(5174,plain,
% 53.61/33.78 (~v90(constB23, 1)),
% 53.61/33.78 inference(unit_resolution,[status(thm)],[5173, 5118, 5167])).
% 53.61/33.78 tff(5175,plain,
% 53.61/33.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB22, 1)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB22, 1)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 1))),
% 53.61/33.78 inference(rewrite,[status(thm)],[])).
% 53.61/33.78 tff(5176,plain,
% 53.61/33.78 (((~nextState(constB22, constB23)) | (~v90(constB22, 1)) | v100(constB23) | v90(constB23, 1)) <=> ((~v90(constB22, 1)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 1))),
% 53.61/33.79 inference(rewrite,[status(thm)],[])).
% 53.61/33.79 tff(5177,plain,
% 53.61/33.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB22, constB23)) | (~v90(constB22, 1)) | v100(constB23) | v90(constB23, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB22, 1)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 1)))),
% 53.61/33.79 inference(monotonicity,[status(thm)],[5176])).
% 53.61/33.79 tff(5178,plain,
% 53.61/33.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB22, constB23)) | (~v90(constB22, 1)) | v100(constB23) | v90(constB23, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB22, 1)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 1))),
% 53.61/33.79 inference(transitivity,[status(thm)],[5177, 5175])).
% 53.61/33.79 tff(5179,plain,
% 53.61/33.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB22, constB23)) | (~v90(constB22, 1)) | v100(constB23) | v90(constB23, 1))),
% 53.61/33.79 inference(quant_inst,[status(thm)],[])).
% 53.61/33.79 tff(5180,plain,
% 53.61/33.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB22, 1)) | (~nextState(constB22, constB23)) | v100(constB23) | v90(constB23, 1)),
% 53.61/33.79 inference(modus_ponens,[status(thm)],[5179, 5178])).
% 53.61/33.79 tff(5181,plain,
% 53.61/33.79 ((~v90(constB22, 1)) | v100(constB23) | v90(constB23, 1)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5180, 1641, 4439])).
% 53.61/33.79 tff(5182,plain,
% 53.61/33.79 ((~v90(constB22, 1)) | v90(constB23, 1)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5181, 4451])).
% 53.61/33.79 tff(5183,plain,
% 53.61/33.79 (~v90(constB22, 1)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5182, 5174])).
% 53.61/33.79 tff(5184,assumption,(~v90(constB22, 1)), introduced(assumption)).
% 53.61/33.79 tff(5185,assumption,(~v90(constB22, 2)), introduced(assumption)).
% 53.61/33.79 tff(5186,assumption,(~v90(constB22, 0)), introduced(assumption)).
% 53.61/33.79 tff(5187,assumption,(~v26(constB21)), introduced(assumption)).
% 53.61/33.79 tff(5188,assumption,(~v127(constB21, 1)), introduced(assumption)).
% 53.61/33.79 tff(5189,plain,
% 53.61/33.79 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB21) | (~v130(constB21, 1)) | v127(constB21, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB21) | (~v130(constB21, 1)) | v127(constB21, 1))),
% 53.61/33.79 inference(rewrite,[status(thm)],[])).
% 53.61/33.79 tff(5190,plain,
% 53.61/33.79 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB21) | (~v130(constB21, 1)) | v127(constB21, 1))),
% 53.61/33.79 inference(quant_inst,[status(thm)],[])).
% 53.61/33.79 tff(5191,plain,
% 53.61/33.79 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB21) | (~v130(constB21, 1)) | v127(constB21, 1)),
% 53.61/33.79 inference(modus_ponens,[status(thm)],[5190, 5189])).
% 53.61/33.79 tff(5192,plain,
% 53.61/33.79 (v26(constB21) | (~v130(constB21, 1))),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5191, 1593, 5188])).
% 53.61/33.79 tff(5193,plain,
% 53.61/33.79 (~v130(constB21, 1)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5192, 5187])).
% 53.61/33.79 tff(5194,plain,
% 53.61/33.79 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB21)) | v130(constB21, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB21)) | v130(constB21, 1))),
% 53.61/33.79 inference(rewrite,[status(thm)],[])).
% 53.61/33.79 tff(5195,plain,
% 53.61/33.79 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB21)) | v130(constB21, 1))),
% 53.61/33.79 inference(quant_inst,[status(thm)],[])).
% 53.61/33.79 tff(5196,plain,
% 53.61/33.79 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB21)) | v130(constB21, 1)),
% 53.61/33.79 inference(modus_ponens,[status(thm)],[5195, 5194])).
% 53.61/33.79 tff(5197,plain,
% 53.61/33.79 (~v120(constB21)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5196, 1579, 5193])).
% 53.61/33.79 tff(5198,plain,
% 53.61/33.79 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB21)) | v130(constB21, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB21)) | v130(constB21, 1))),
% 53.61/33.79 inference(rewrite,[status(thm)],[])).
% 53.61/33.79 tff(5199,plain,
% 53.61/33.79 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB21)) | v130(constB21, 1))),
% 53.61/33.79 inference(quant_inst,[status(thm)],[])).
% 53.61/33.79 tff(5200,plain,
% 53.61/33.79 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB21)) | v130(constB21, 1)),
% 53.61/33.79 inference(modus_ponens,[status(thm)],[5199, 5198])).
% 53.61/33.79 tff(5201,plain,
% 53.61/33.79 (~v121(constB21)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5200, 1877, 5193])).
% 53.61/33.79 tff(5202,plain,
% 53.61/33.79 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB21)) | v130(constB21, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB21)) | v130(constB21, 1))),
% 53.61/33.79 inference(rewrite,[status(thm)],[])).
% 53.61/33.79 tff(5203,plain,
% 53.61/33.79 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB21)) | v130(constB21, 1))),
% 53.61/33.79 inference(quant_inst,[status(thm)],[])).
% 53.61/33.79 tff(5204,plain,
% 53.61/33.79 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB21)) | v130(constB21, 1)),
% 53.61/33.79 inference(modus_ponens,[status(thm)],[5203, 5202])).
% 53.61/33.79 tff(5205,plain,
% 53.61/33.79 (~v124(constB21)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5204, 2808, 5193])).
% 53.61/33.79 tff(5206,assumption,(~v90(constB21, 1)), introduced(assumption)).
% 53.61/33.79 tff(5207,assumption,(~v110(constB22)), introduced(assumption)).
% 53.61/33.79 tff(5208,plain,
% 53.61/33.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB21, constB22)) | v110(constB22) | (~v100(constB22)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB21, constB22)) | v110(constB22) | (~v100(constB22)))),
% 53.61/33.79 inference(rewrite,[status(thm)],[])).
% 53.61/33.79 tff(5209,plain,
% 53.61/33.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB21, constB22)) | v110(constB22) | (~v100(constB22)))),
% 53.61/33.79 inference(quant_inst,[status(thm)],[])).
% 53.61/33.79 tff(5210,plain,
% 53.61/33.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB21, constB22)) | v110(constB22) | (~v100(constB22))),
% 53.61/33.79 inference(modus_ponens,[status(thm)],[5209, 5208])).
% 53.61/33.79 tff(5211,plain,
% 53.61/33.79 (v110(constB22) | (~v100(constB22))),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5210, 4764, 4380])).
% 53.61/33.79 tff(5212,plain,
% 53.61/33.79 (~v100(constB22)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5211, 5207])).
% 53.61/33.79 tff(5213,plain,
% 53.61/33.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB21, 0)) | (~nextState(constB21, constB22)) | v100(constB22) | v90(constB22, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB21, 0)) | (~nextState(constB21, constB22)) | v100(constB22) | v90(constB22, 0))),
% 53.61/33.79 inference(rewrite,[status(thm)],[])).
% 53.61/33.79 tff(5214,plain,
% 53.61/33.79 (((~nextState(constB21, constB22)) | (~v90(constB21, 0)) | v100(constB22) | v90(constB22, 0)) <=> ((~v90(constB21, 0)) | (~nextState(constB21, constB22)) | v100(constB22) | v90(constB22, 0))),
% 53.61/33.79 inference(rewrite,[status(thm)],[])).
% 53.61/33.79 tff(5215,plain,
% 53.61/33.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB21, constB22)) | (~v90(constB21, 0)) | v100(constB22) | v90(constB22, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB21, 0)) | (~nextState(constB21, constB22)) | v100(constB22) | v90(constB22, 0)))),
% 53.61/33.79 inference(monotonicity,[status(thm)],[5214])).
% 53.61/33.79 tff(5216,plain,
% 53.61/33.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB21, constB22)) | (~v90(constB21, 0)) | v100(constB22) | v90(constB22, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB21, 0)) | (~nextState(constB21, constB22)) | v100(constB22) | v90(constB22, 0))),
% 53.61/33.79 inference(transitivity,[status(thm)],[5215, 5213])).
% 53.61/33.79 tff(5217,plain,
% 53.61/33.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB21, constB22)) | (~v90(constB21, 0)) | v100(constB22) | v90(constB22, 0))),
% 53.61/33.79 inference(quant_inst,[status(thm)],[])).
% 53.61/33.79 tff(5218,plain,
% 53.61/33.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB21, 0)) | (~nextState(constB21, constB22)) | v100(constB22) | v90(constB22, 0)),
% 53.61/33.79 inference(modus_ponens,[status(thm)],[5217, 5216])).
% 53.61/33.79 tff(5219,plain,
% 53.61/33.79 ((~v90(constB21, 0)) | v100(constB22) | v90(constB22, 0)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5218, 1395, 4380])).
% 53.61/33.79 tff(5220,plain,
% 53.61/33.79 (~v90(constB21, 0)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5219, 5212, 5186])).
% 53.61/33.79 tff(5221,plain,
% 53.61/33.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB21, 2)) | (~nextState(constB21, constB22)) | v100(constB22) | v90(constB22, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB21, 2)) | (~nextState(constB21, constB22)) | v100(constB22) | v90(constB22, 2))),
% 53.61/33.79 inference(rewrite,[status(thm)],[])).
% 53.61/33.79 tff(5222,plain,
% 53.61/33.79 (((~nextState(constB21, constB22)) | (~v90(constB21, 2)) | v100(constB22) | v90(constB22, 2)) <=> ((~v90(constB21, 2)) | (~nextState(constB21, constB22)) | v100(constB22) | v90(constB22, 2))),
% 53.61/33.79 inference(rewrite,[status(thm)],[])).
% 53.61/33.79 tff(5223,plain,
% 53.61/33.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB21, constB22)) | (~v90(constB21, 2)) | v100(constB22) | v90(constB22, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB21, 2)) | (~nextState(constB21, constB22)) | v100(constB22) | v90(constB22, 2)))),
% 53.61/33.79 inference(monotonicity,[status(thm)],[5222])).
% 53.61/33.79 tff(5224,plain,
% 53.61/33.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB21, constB22)) | (~v90(constB21, 2)) | v100(constB22) | v90(constB22, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB21, 2)) | (~nextState(constB21, constB22)) | v100(constB22) | v90(constB22, 2))),
% 53.61/33.79 inference(transitivity,[status(thm)],[5223, 5221])).
% 53.61/33.79 tff(5225,plain,
% 53.61/33.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB21, constB22)) | (~v90(constB21, 2)) | v100(constB22) | v90(constB22, 2))),
% 53.61/33.79 inference(quant_inst,[status(thm)],[])).
% 53.61/33.79 tff(5226,plain,
% 53.61/33.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB21, 2)) | (~nextState(constB21, constB22)) | v100(constB22) | v90(constB22, 2)),
% 53.61/33.79 inference(modus_ponens,[status(thm)],[5225, 5224])).
% 53.61/33.79 tff(5227,plain,
% 53.61/33.79 ((~v90(constB21, 2)) | v100(constB22) | v90(constB22, 2)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5226, 2174, 4380])).
% 53.61/33.79 tff(5228,plain,
% 53.61/33.79 (~v90(constB21, 2)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5227, 5212, 5185])).
% 53.61/33.79 tff(5229,plain,
% 53.61/33.79 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB21, 0) | v90(constB21, 1) | v90(constB21, 2) | v119(constB21))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB21, 0) | v90(constB21, 1) | v90(constB21, 2) | v119(constB21))),
% 53.61/33.79 inference(rewrite,[status(thm)],[])).
% 53.61/33.79 tff(5230,plain,
% 53.61/33.79 ((v90(constB21, 0) | v119(constB21) | v90(constB21, 1) | v90(constB21, 2)) <=> (v90(constB21, 0) | v90(constB21, 1) | v90(constB21, 2) | v119(constB21))),
% 53.61/33.79 inference(rewrite,[status(thm)],[])).
% 53.61/33.79 tff(5231,plain,
% 53.61/33.79 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB21, 0) | v119(constB21) | v90(constB21, 1) | v90(constB21, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB21, 0) | v90(constB21, 1) | v90(constB21, 2) | v119(constB21)))),
% 53.61/33.79 inference(monotonicity,[status(thm)],[5230])).
% 53.61/33.79 tff(5232,plain,
% 53.61/33.79 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB21, 0) | v119(constB21) | v90(constB21, 1) | v90(constB21, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB21, 0) | v90(constB21, 1) | v90(constB21, 2) | v119(constB21))),
% 53.61/33.79 inference(transitivity,[status(thm)],[5231, 5229])).
% 53.61/33.79 tff(5233,plain,
% 53.61/33.79 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB21, 0) | v119(constB21) | v90(constB21, 1) | v90(constB21, 2))),
% 53.61/33.79 inference(quant_inst,[status(thm)],[])).
% 53.61/33.79 tff(5234,plain,
% 53.61/33.79 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB21, 0) | v90(constB21, 1) | v90(constB21, 2) | v119(constB21)),
% 53.61/33.79 inference(modus_ponens,[status(thm)],[5233, 5232])).
% 53.61/33.79 tff(5235,plain,
% 53.61/33.79 (v90(constB21, 0) | v90(constB21, 2) | v119(constB21)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5234, 968, 5206])).
% 53.61/33.79 tff(5236,plain,
% 53.61/33.79 (v119(constB21)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5235, 5228, 5220])).
% 53.61/33.79 tff(5237,plain,
% 53.61/33.79 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB21) | (~v119(constB21)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB21) | (~v119(constB21)))),
% 53.61/33.79 inference(rewrite,[status(thm)],[])).
% 53.61/33.79 tff(5238,plain,
% 53.61/33.79 (((~v119(constB21)) | v118(constB21)) <=> (v118(constB21) | (~v119(constB21)))),
% 53.61/33.79 inference(rewrite,[status(thm)],[])).
% 53.61/33.79 tff(5239,plain,
% 53.61/33.79 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB21)) | v118(constB21))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB21) | (~v119(constB21))))),
% 53.61/33.79 inference(monotonicity,[status(thm)],[5238])).
% 53.61/33.79 tff(5240,plain,
% 53.61/33.79 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB21)) | v118(constB21))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB21) | (~v119(constB21)))),
% 53.61/33.79 inference(transitivity,[status(thm)],[5239, 5237])).
% 53.61/33.79 tff(5241,plain,
% 53.61/33.79 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB21)) | v118(constB21))),
% 53.61/33.79 inference(quant_inst,[status(thm)],[])).
% 53.61/33.79 tff(5242,plain,
% 53.61/33.79 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB21) | (~v119(constB21))),
% 53.61/33.79 inference(modus_ponens,[status(thm)],[5241, 5240])).
% 53.61/33.79 tff(5243,plain,
% 53.61/33.79 (v118(constB21)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5242, 982, 5236])).
% 53.61/33.79 tff(5244,plain,
% 53.61/33.79 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB21) | (~v118(constB21)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB21) | (~v118(constB21)))),
% 53.61/33.79 inference(rewrite,[status(thm)],[])).
% 53.61/33.79 tff(5245,plain,
% 53.61/33.79 (((~v118(constB21)) | v117(constB21)) <=> (v117(constB21) | (~v118(constB21)))),
% 53.61/33.79 inference(rewrite,[status(thm)],[])).
% 53.61/33.79 tff(5246,plain,
% 53.61/33.79 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB21)) | v117(constB21))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB21) | (~v118(constB21))))),
% 53.61/33.79 inference(monotonicity,[status(thm)],[5245])).
% 53.61/33.79 tff(5247,plain,
% 53.61/33.79 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB21)) | v117(constB21))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB21) | (~v118(constB21)))),
% 53.61/33.79 inference(transitivity,[status(thm)],[5246, 5244])).
% 53.61/33.79 tff(5248,plain,
% 53.61/33.79 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB21)) | v117(constB21))),
% 53.61/33.79 inference(quant_inst,[status(thm)],[])).
% 53.61/33.79 tff(5249,plain,
% 53.61/33.79 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB21) | (~v118(constB21))),
% 53.61/33.79 inference(modus_ponens,[status(thm)],[5248, 5247])).
% 53.61/33.79 tff(5250,plain,
% 53.61/33.79 (v117(constB21)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5249, 993, 5243])).
% 53.61/33.79 tff(5251,plain,
% 53.61/33.79 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB21)) | v116(constB21))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB21)) | v116(constB21))),
% 53.61/33.79 inference(rewrite,[status(thm)],[])).
% 53.61/33.79 tff(5252,plain,
% 53.61/33.79 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB21)) | v116(constB21))),
% 53.61/33.79 inference(quant_inst,[status(thm)],[])).
% 53.61/33.79 tff(5253,plain,
% 53.61/33.79 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB21)) | v116(constB21)),
% 53.61/33.79 inference(modus_ponens,[status(thm)],[5252, 5251])).
% 53.61/33.79 tff(5254,plain,
% 53.61/33.79 (v116(constB21)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5253, 1007, 5250])).
% 53.61/33.79 tff(5255,plain,
% 53.61/33.79 (~v108(constB21)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[4387, 5207])).
% 53.61/33.79 tff(5256,plain,
% 53.61/33.79 (~v112(constB21)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[4376, 1075, 5255])).
% 53.61/33.79 tff(5257,plain,
% 53.61/33.79 (v112(constB21) | (~v113(constB21))),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[4368, 1063, 5187])).
% 53.61/33.79 tff(5258,plain,
% 53.61/33.79 (~v113(constB21)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5257, 5256])).
% 53.61/33.79 tff(5259,plain,
% 53.61/33.79 (~v114(constB21)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[4357, 1049, 5258])).
% 53.61/33.79 tff(5260,plain,
% 53.61/33.79 (~v115(constB21)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[4350, 1035, 5259])).
% 53.61/33.79 tff(5261,plain,
% 53.61/33.79 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB21) | (~v116(constB21)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB21) | (~v116(constB21)))),
% 53.61/33.79 inference(rewrite,[status(thm)],[])).
% 53.61/33.79 tff(5262,plain,
% 53.61/33.79 (((~v116(constB21)) | v115(constB21)) <=> (v115(constB21) | (~v116(constB21)))),
% 53.61/33.79 inference(rewrite,[status(thm)],[])).
% 53.61/33.79 tff(5263,plain,
% 53.61/33.79 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB21)) | v115(constB21))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB21) | (~v116(constB21))))),
% 53.61/33.79 inference(monotonicity,[status(thm)],[5262])).
% 53.61/33.79 tff(5264,plain,
% 53.61/33.79 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB21)) | v115(constB21))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB21) | (~v116(constB21)))),
% 53.61/33.79 inference(transitivity,[status(thm)],[5263, 5261])).
% 53.61/33.79 tff(5265,plain,
% 53.61/33.79 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB21)) | v115(constB21))),
% 53.61/33.79 inference(quant_inst,[status(thm)],[])).
% 53.61/33.79 tff(5266,plain,
% 53.61/33.79 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB21) | (~v116(constB21))),
% 53.61/33.79 inference(modus_ponens,[status(thm)],[5265, 5264])).
% 53.61/33.79 tff(5267,plain,
% 53.61/33.79 ($false),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5266, 1021, 5260, 5254])).
% 53.61/33.79 tff(5268,plain,(v110(constB22) | v26(constB21) | v90(constB21, 1) | v90(constB22, 2) | v90(constB22, 0)), inference(lemma,lemma(discharge,[]))).
% 53.61/33.79 tff(5269,plain,
% 53.61/33.79 (v110(constB22)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5268, 5206, 5187, 5185, 5186])).
% 53.61/33.79 tff(5270,plain,
% 53.61/33.79 (v100(constB22)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[4410, 5269])).
% 53.61/33.79 tff(5271,plain,
% 53.61/33.79 ((~v129(constB22, 0)) | (~v100(constB22))),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[4514, 1377, 5186])).
% 53.61/33.79 tff(5272,plain,
% 53.61/33.79 (~v129(constB22, 0)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5271, 5270])).
% 53.61/33.79 tff(5273,plain,
% 53.61/33.79 (~v127(constB21, 0)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[4507, 5272])).
% 53.61/33.79 tff(5274,plain,
% 53.61/33.79 ((~v130(constB21, 0)) | v127(constB21, 0)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[4501, 1347, 5187])).
% 53.61/33.79 tff(5275,plain,
% 53.61/33.79 (~v130(constB21, 0)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5274, 5273])).
% 53.61/33.79 tff(5276,plain,
% 53.61/33.79 (^[VarCurr: state_type] : refl(((~v122(VarCurr)) | v90(VarCurr, 1)) <=> ((~v122(VarCurr)) | v90(VarCurr, 1)))),
% 53.61/33.79 inference(bind,[status(th)],[])).
% 53.61/33.79 tff(5277,plain,
% 53.61/33.79 (![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))),
% 53.61/33.79 inference(quant_intro,[status(thm)],[5276])).
% 53.61/33.79 tff(5278,plain,
% 53.61/33.79 (![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))),
% 53.61/33.79 inference(rewrite,[status(thm)],[])).
% 53.61/33.79 tff(5279,axiom,(![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_2')).
% 53.61/33.79 tff(5280,plain,
% 53.61/33.79 (![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))),
% 53.61/33.79 inference(modus_ponens,[status(thm)],[5279, 5278])).
% 53.61/33.79 tff(5281,plain,(
% 53.61/33.79 ![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))),
% 53.61/33.79 inference(skolemize,[status(sab)],[5280])).
% 53.61/33.79 tff(5282,plain,
% 53.61/33.79 (![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))),
% 53.61/33.79 inference(modus_ponens,[status(thm)],[5281, 5277])).
% 53.61/33.79 tff(5283,plain,
% 53.61/33.79 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | ((~v122(constB21)) | v90(constB21, 1))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | (~v122(constB21)) | v90(constB21, 1))),
% 53.61/33.79 inference(rewrite,[status(thm)],[])).
% 53.61/33.79 tff(5284,plain,
% 53.61/33.79 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | ((~v122(constB21)) | v90(constB21, 1))),
% 53.61/33.79 inference(quant_inst,[status(thm)],[])).
% 53.61/33.79 tff(5285,plain,
% 53.61/33.79 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | (~v122(constB21)) | v90(constB21, 1)),
% 53.61/33.79 inference(modus_ponens,[status(thm)],[5284, 5283])).
% 53.61/33.79 tff(5286,plain,
% 53.61/33.79 (~v122(constB21)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5285, 5282, 5206])).
% 53.61/33.79 tff(5287,plain,
% 53.61/33.79 (~v123(constB21)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[4497, 2622, 5275])).
% 53.61/33.79 tff(5288,plain,
% 53.61/33.79 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB21)) | v130(constB21, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB21)) | v130(constB21, 0))),
% 53.61/33.79 inference(rewrite,[status(thm)],[])).
% 53.61/33.79 tff(5289,plain,
% 53.61/33.79 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB21)) | v130(constB21, 0))),
% 53.61/33.79 inference(quant_inst,[status(thm)],[])).
% 53.61/33.79 tff(5290,plain,
% 53.61/33.79 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB21)) | v130(constB21, 0)),
% 53.61/33.79 inference(modus_ponens,[status(thm)],[5289, 5288])).
% 53.61/33.79 tff(5291,plain,
% 53.61/33.79 (~v119(constB21)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5290, 1333, 5275])).
% 53.61/33.79 tff(5292,assumption,(~v120(constB21)), introduced(assumption)).
% 53.61/33.79 tff(5293,assumption,(~v121(constB21)), introduced(assumption)).
% 53.61/33.79 tff(5294,assumption,(~v124(constB21)), introduced(assumption)).
% 53.61/33.79 tff(5295,plain,
% 53.61/33.79 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB21) | v120(constB21) | v121(constB21) | v122(constB21) | v123(constB21) | v124(constB21) | v130(constB21, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB21) | v120(constB21) | v121(constB21) | v122(constB21) | v123(constB21) | v124(constB21) | v130(constB21, 0))),
% 53.61/33.79 inference(rewrite,[status(thm)],[])).
% 53.61/33.79 tff(5296,plain,
% 53.61/33.79 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB21) | v120(constB21) | v121(constB21) | v122(constB21) | v123(constB21) | v124(constB21) | v130(constB21, 0))),
% 53.61/33.79 inference(quant_inst,[status(thm)],[])).
% 53.61/33.79 tff(5297,plain,
% 53.61/33.79 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB21) | v120(constB21) | v121(constB21) | v122(constB21) | v123(constB21) | v124(constB21) | v130(constB21, 0)),
% 53.61/33.79 inference(modus_ponens,[status(thm)],[5296, 5295])).
% 53.61/33.79 tff(5298,plain,
% 53.61/33.79 (v119(constB21) | v122(constB21) | v123(constB21) | v130(constB21, 0)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5297, 3413, 5294, 5293, 5292])).
% 53.61/33.79 tff(5299,plain,
% 53.61/33.79 ($false),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5298, 5291, 5287, 5286, 5275])).
% 53.61/33.79 tff(5300,plain,(v90(constB21, 1) | v124(constB21) | v121(constB21) | v120(constB21) | v26(constB21) | v90(constB22, 0) | v90(constB22, 2)), inference(lemma,lemma(discharge,[]))).
% 53.61/33.79 tff(5301,plain,
% 53.61/33.79 (v90(constB21, 1)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5300, 5205, 5201, 5197, 5187, 5186, 5185])).
% 53.61/33.79 tff(5302,plain,
% 53.61/33.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB21, 1)) | (~nextState(constB21, constB22)) | v100(constB22) | v90(constB22, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB21, 1)) | (~nextState(constB21, constB22)) | v100(constB22) | v90(constB22, 1))),
% 53.61/33.79 inference(rewrite,[status(thm)],[])).
% 53.61/33.79 tff(5303,plain,
% 53.61/33.79 (((~nextState(constB21, constB22)) | (~v90(constB21, 1)) | v100(constB22) | v90(constB22, 1)) <=> ((~v90(constB21, 1)) | (~nextState(constB21, constB22)) | v100(constB22) | v90(constB22, 1))),
% 53.61/33.79 inference(rewrite,[status(thm)],[])).
% 53.61/33.79 tff(5304,plain,
% 53.61/33.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB21, constB22)) | (~v90(constB21, 1)) | v100(constB22) | v90(constB22, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB21, 1)) | (~nextState(constB21, constB22)) | v100(constB22) | v90(constB22, 1)))),
% 53.61/33.79 inference(monotonicity,[status(thm)],[5303])).
% 53.61/33.79 tff(5305,plain,
% 53.61/33.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB21, constB22)) | (~v90(constB21, 1)) | v100(constB22) | v90(constB22, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB21, 1)) | (~nextState(constB21, constB22)) | v100(constB22) | v90(constB22, 1))),
% 53.61/33.79 inference(transitivity,[status(thm)],[5304, 5302])).
% 53.61/33.79 tff(5306,plain,
% 53.61/33.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB21, constB22)) | (~v90(constB21, 1)) | v100(constB22) | v90(constB22, 1))),
% 53.61/33.79 inference(quant_inst,[status(thm)],[])).
% 53.61/33.79 tff(5307,plain,
% 53.61/33.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB21, 1)) | (~nextState(constB21, constB22)) | v100(constB22) | v90(constB22, 1)),
% 53.61/33.79 inference(modus_ponens,[status(thm)],[5306, 5305])).
% 53.61/33.79 tff(5308,plain,
% 53.61/33.79 ((~v90(constB21, 1)) | v100(constB22) | v90(constB22, 1)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5307, 1641, 4380])).
% 53.61/33.79 tff(5309,plain,
% 53.61/33.79 (v100(constB22)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5308, 5301, 5184])).
% 53.61/33.79 tff(5310,plain,
% 53.61/33.79 (~v129(constB22, 0)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5271, 5309])).
% 53.61/33.79 tff(5311,plain,
% 53.61/33.79 (~v127(constB21, 0)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[4507, 5310])).
% 53.61/33.79 tff(5312,plain,
% 53.61/33.79 (~v130(constB21, 0)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5274, 5311])).
% 53.61/33.79 tff(5313,plain,
% 53.61/33.79 ((~v129(constB22, 2)) | (~v100(constB22))),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[4431, 2324, 5185])).
% 53.61/33.79 tff(5314,plain,
% 53.61/33.79 (~v129(constB22, 2)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5313, 5309])).
% 53.61/33.79 tff(5315,plain,
% 53.61/33.79 (~v127(constB21, 2)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[4424, 5314])).
% 53.61/33.79 tff(5316,plain,
% 53.61/33.79 ((~v130(constB21, 2)) | v127(constB21, 2)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[4418, 1981, 5187])).
% 53.61/33.79 tff(5317,plain,
% 53.61/33.79 (~v130(constB21, 2)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5316, 5315])).
% 53.61/33.79 tff(5318,plain,
% 53.61/33.79 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB21)) | v130(constB21, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB21)) | v130(constB21, 2))),
% 53.61/33.79 inference(rewrite,[status(thm)],[])).
% 53.61/33.79 tff(5319,plain,
% 53.61/33.79 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB21)) | v130(constB21, 2))),
% 53.61/33.79 inference(quant_inst,[status(thm)],[])).
% 53.61/33.79 tff(5320,plain,
% 53.61/33.79 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB21)) | v130(constB21, 2)),
% 53.61/33.79 inference(modus_ponens,[status(thm)],[5319, 5318])).
% 53.61/33.79 tff(5321,plain,
% 53.61/33.79 (~v122(constB21)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5320, 1967, 5317])).
% 53.61/33.79 tff(5322,plain,
% 53.61/33.79 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB21)) | (~v90(constB21, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB21)) | (~v90(constB21, 1)))),
% 53.61/33.79 inference(rewrite,[status(thm)],[])).
% 53.61/33.79 tff(5323,plain,
% 53.61/33.79 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB21)) | (~v90(constB21, 1)))),
% 53.61/33.79 inference(quant_inst,[status(thm)],[])).
% 53.61/33.79 tff(5324,plain,
% 53.61/33.79 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB21)) | (~v90(constB21, 1))),
% 53.61/33.79 inference(modus_ponens,[status(thm)],[5323, 5322])).
% 53.61/33.79 tff(5325,plain,
% 53.61/33.79 (~v123(constB21)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5324, 2879, 5301])).
% 53.61/33.79 tff(5326,plain,
% 53.61/33.79 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB21)) | (~v90(constB21, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB21)) | (~v90(constB21, 1)))),
% 53.61/33.79 inference(rewrite,[status(thm)],[])).
% 53.61/33.79 tff(5327,plain,
% 53.61/33.79 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB21)) | (~v90(constB21, 1)))),
% 53.61/33.79 inference(quant_inst,[status(thm)],[])).
% 53.61/33.79 tff(5328,plain,
% 53.61/33.79 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB21)) | (~v90(constB21, 1))),
% 53.61/33.79 inference(modus_ponens,[status(thm)],[5327, 5326])).
% 53.61/33.79 tff(5329,plain,
% 53.61/33.79 (~v119(constB21)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5328, 2868, 5301])).
% 53.61/33.79 tff(5330,plain,
% 53.61/33.79 (v119(constB21) | v122(constB21) | v123(constB21) | v130(constB21, 0)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5297, 3413, 5205, 5201, 5197])).
% 53.61/33.79 tff(5331,plain,
% 53.61/33.79 ($false),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5330, 5329, 5325, 5321, 5312])).
% 53.61/33.79 tff(5332,plain,(v26(constB21) | v90(constB22, 2) | v90(constB22, 0) | v90(constB22, 1) | v127(constB21, 1)), inference(lemma,lemma(discharge,[]))).
% 53.61/33.79 tff(5333,plain,
% 53.61/33.79 (v90(constB22, 2) | v90(constB22, 0) | v90(constB22, 1) | v127(constB21, 1)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5332, 4362])).
% 53.61/33.79 tff(5334,plain,
% 53.61/33.79 (v127(constB21, 1)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5333, 5183, 5168, 5166])).
% 53.61/33.79 tff(5335,plain,
% 53.61/33.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB21, constB22)) | (~v127(constB21, 1)) | v129(constB22, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB21, constB22)) | (~v127(constB21, 1)) | v129(constB22, 1))),
% 53.61/33.79 inference(rewrite,[status(thm)],[])).
% 53.61/33.79 tff(5336,plain,
% 53.61/33.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB21, constB22)) | (~v127(constB21, 1)) | v129(constB22, 1))),
% 53.61/33.79 inference(quant_inst,[status(thm)],[])).
% 53.61/33.79 tff(5337,plain,
% 53.61/33.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB21, constB22)) | (~v127(constB21, 1)) | v129(constB22, 1)),
% 53.61/33.79 inference(modus_ponens,[status(thm)],[5336, 5335])).
% 53.61/33.79 tff(5338,plain,
% 53.61/33.79 ((~v127(constB21, 1)) | v129(constB22, 1)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5337, 1608, 4380])).
% 53.61/33.79 tff(5339,plain,
% 53.61/33.79 (v129(constB22, 1)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5338, 5334])).
% 53.61/33.79 tff(5340,assumption,(~v100(constB22)), introduced(assumption)).
% 53.61/33.79 tff(5341,plain,
% 53.61/33.79 (~v90(constB21, 2)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5227, 5340, 5185])).
% 53.61/33.79 tff(5342,plain,
% 53.61/33.79 (~v110(constB22)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[4410, 5340])).
% 53.61/33.79 tff(5343,plain,
% 53.61/33.79 (v110(constB22) | v90(constB21, 1) | v90(constB22, 2) | v90(constB22, 0)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5268, 4362])).
% 53.61/33.79 tff(5344,plain,
% 53.61/33.79 (v90(constB21, 1)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5343, 5342, 5185, 5186])).
% 53.61/33.79 tff(5345,plain,
% 53.61/33.79 (~v90(constB21, 0)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5219, 5340, 5186])).
% 53.61/33.79 tff(5346,plain,
% 53.61/33.79 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB21, 0) | (~v90(constB21, 1)) | v90(constB21, 2) | v121(constB21))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB21, 0) | (~v90(constB21, 1)) | v90(constB21, 2) | v121(constB21))),
% 53.61/33.79 inference(rewrite,[status(thm)],[])).
% 53.61/33.79 tff(5347,plain,
% 53.61/33.79 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB21, 0) | (~v90(constB21, 1)) | v90(constB21, 2) | v121(constB21))),
% 53.61/33.79 inference(quant_inst,[status(thm)],[])).
% 53.61/33.79 tff(5348,plain,
% 53.61/33.79 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB21, 0) | (~v90(constB21, 1)) | v90(constB21, 2) | v121(constB21)),
% 53.61/33.79 inference(modus_ponens,[status(thm)],[5347, 5346])).
% 53.61/33.79 tff(5349,plain,
% 53.61/33.79 (v121(constB21)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5348, 1731, 5345, 5344, 5341])).
% 53.61/33.79 tff(5350,plain,
% 53.61/33.79 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB21)) | v117(constB21))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB21)) | v117(constB21))),
% 53.61/33.79 inference(rewrite,[status(thm)],[])).
% 53.61/33.79 tff(5351,plain,
% 53.61/33.79 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB21)) | v117(constB21))),
% 53.61/33.79 inference(quant_inst,[status(thm)],[])).
% 53.61/33.79 tff(5352,plain,
% 53.61/33.79 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB21)) | v117(constB21)),
% 53.61/33.79 inference(modus_ponens,[status(thm)],[5351, 5350])).
% 53.61/33.79 tff(5353,plain,
% 53.61/33.79 (v117(constB21)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5352, 1742, 5349])).
% 53.61/33.79 tff(5354,plain,
% 53.61/33.79 (v116(constB21)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5253, 1007, 5353])).
% 53.61/33.79 tff(5355,plain,
% 53.61/33.79 (~v108(constB21)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[4387, 5342])).
% 53.61/33.79 tff(5356,plain,
% 53.61/33.79 (~v112(constB21)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[4376, 1075, 5355])).
% 53.61/33.79 tff(5357,plain,
% 53.61/33.79 (~v113(constB21)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[4369, 5356])).
% 53.61/33.79 tff(5358,plain,
% 53.61/33.79 (~v114(constB21)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[4357, 1049, 5357])).
% 53.61/33.79 tff(5359,plain,
% 53.61/33.79 (~v115(constB21)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[4350, 1035, 5358])).
% 53.61/33.79 tff(5360,plain,
% 53.61/33.79 ($false),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5266, 1021, 5359, 5354])).
% 53.61/33.79 tff(5361,plain,(v100(constB22) | v90(constB22, 2) | v90(constB22, 0)), inference(lemma,lemma(discharge,[]))).
% 53.61/33.79 tff(5362,plain,
% 53.61/33.79 (v100(constB22)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5361, 5166, 5168])).
% 53.61/33.79 tff(5363,plain,
% 53.61/33.79 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB22, 1) | (~v129(constB22, 1)) | (~v100(constB22)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB22, 1) | (~v129(constB22, 1)) | (~v100(constB22)))),
% 53.61/33.79 inference(rewrite,[status(thm)],[])).
% 53.61/33.79 tff(5364,plain,
% 53.61/33.79 ((v90(constB22, 1) | (~v100(constB22)) | (~v129(constB22, 1))) <=> (v90(constB22, 1) | (~v129(constB22, 1)) | (~v100(constB22)))),
% 53.61/33.79 inference(rewrite,[status(thm)],[])).
% 53.61/33.79 tff(5365,plain,
% 53.61/33.79 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB22, 1) | (~v100(constB22)) | (~v129(constB22, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB22, 1) | (~v129(constB22, 1)) | (~v100(constB22))))),
% 53.61/33.79 inference(monotonicity,[status(thm)],[5364])).
% 53.61/33.79 tff(5366,plain,
% 53.61/33.79 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB22, 1) | (~v100(constB22)) | (~v129(constB22, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB22, 1) | (~v129(constB22, 1)) | (~v100(constB22)))),
% 53.61/33.79 inference(transitivity,[status(thm)],[5365, 5363])).
% 53.61/33.79 tff(5367,plain,
% 53.61/33.79 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB22, 1) | (~v100(constB22)) | (~v129(constB22, 1)))),
% 53.61/33.79 inference(quant_inst,[status(thm)],[])).
% 53.61/33.79 tff(5368,plain,
% 53.61/33.79 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB22, 1) | (~v129(constB22, 1)) | (~v100(constB22))),
% 53.61/33.79 inference(modus_ponens,[status(thm)],[5367, 5366])).
% 53.61/33.79 tff(5369,plain,
% 53.61/33.79 ($false),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5368, 1623, 5362, 5183, 5339])).
% 53.61/33.79 tff(5370,plain,(v90(constB23, 2) | v90(constB23, 0) | v121(constB23)), inference(lemma,lemma(discharge,[]))).
% 53.61/33.79 tff(5371,plain,
% 53.61/33.79 (v90(constB23, 0)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5370, 5165, 5118])).
% 53.61/33.79 tff(5372,plain,
% 53.61/33.79 (v129(constB24, 2) | (~v100(constB24))),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5158, 1223, 5119])).
% 53.61/33.79 tff(5373,plain,
% 53.61/33.79 (v129(constB24, 2)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5372, 5127])).
% 53.61/33.79 tff(5374,plain,
% 53.61/33.79 (v127(constB23, 2)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5154, 5373])).
% 53.61/33.79 tff(5375,plain,
% 53.61/33.79 (v130(constB23, 2)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5149, 5374])).
% 53.61/33.79 tff(5376,plain,
% 53.61/33.79 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB23)) | (~v130(constB23, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB23)) | (~v130(constB23, 2)))),
% 53.61/33.79 inference(rewrite,[status(thm)],[])).
% 53.61/33.79 tff(5377,plain,
% 53.61/33.79 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB23)) | (~v130(constB23, 2)))),
% 53.61/33.79 inference(quant_inst,[status(thm)],[])).
% 53.61/33.79 tff(5378,plain,
% 53.61/33.79 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB23)) | (~v130(constB23, 2))),
% 53.61/33.79 inference(modus_ponens,[status(thm)],[5377, 5376])).
% 53.61/33.79 tff(5379,plain,
% 53.61/33.79 (~v120(constB23)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5378, 1523, 5375])).
% 53.61/33.79 tff(5380,plain,
% 53.61/33.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB24, 0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB24, 0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 0)))),
% 53.61/33.79 inference(rewrite,[status(thm)],[])).
% 53.61/33.79 tff(5381,plain,
% 53.61/33.79 (((~nextState(constB24, constB25)) | v90(constB24, 0) | v100(constB25) | (~v90(constB25, 0))) <=> (v90(constB24, 0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 0)))),
% 53.61/33.79 inference(rewrite,[status(thm)],[])).
% 53.61/33.79 tff(5382,plain,
% 53.61/33.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB24, constB25)) | v90(constB24, 0) | v100(constB25) | (~v90(constB25, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB24, 0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 0))))),
% 53.61/33.79 inference(monotonicity,[status(thm)],[5381])).
% 53.61/33.79 tff(5383,plain,
% 53.61/33.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB24, constB25)) | v90(constB24, 0) | v100(constB25) | (~v90(constB25, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB24, 0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 0)))),
% 53.61/33.79 inference(transitivity,[status(thm)],[5382, 5380])).
% 53.61/33.79 tff(5384,plain,
% 53.61/33.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB24, constB25)) | v90(constB24, 0) | v100(constB25) | (~v90(constB25, 0)))),
% 53.61/33.79 inference(quant_inst,[status(thm)],[])).
% 53.61/33.79 tff(5385,plain,
% 53.61/33.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB24, 0) | (~nextState(constB24, constB25)) | v100(constB25) | (~v90(constB25, 0))),
% 53.61/33.79 inference(modus_ponens,[status(thm)],[5384, 5383])).
% 53.61/33.79 tff(5386,plain,
% 53.61/33.79 (v90(constB24, 0) | v100(constB25) | (~v90(constB25, 0))),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5385, 947, 4621])).
% 53.61/33.79 tff(5387,plain,
% 53.61/33.79 (v90(constB24, 0) | (~v90(constB25, 0))),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5386, 4633])).
% 53.61/33.79 tff(5388,plain,
% 53.61/33.79 (v90(constB24, 0)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5387, 5081])).
% 53.61/33.79 tff(5389,plain,
% 53.61/33.79 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB24, 0)) | v129(constB24, 0) | (~v100(constB24)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB24, 0)) | v129(constB24, 0) | (~v100(constB24)))),
% 53.61/33.79 inference(rewrite,[status(thm)],[])).
% 53.61/33.79 tff(5390,plain,
% 53.61/33.79 (((~v90(constB24, 0)) | (~v100(constB24)) | v129(constB24, 0)) <=> ((~v90(constB24, 0)) | v129(constB24, 0) | (~v100(constB24)))),
% 53.61/33.79 inference(rewrite,[status(thm)],[])).
% 53.61/33.79 tff(5391,plain,
% 53.61/33.79 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB24, 0)) | (~v100(constB24)) | v129(constB24, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB24, 0)) | v129(constB24, 0) | (~v100(constB24))))),
% 53.61/33.79 inference(monotonicity,[status(thm)],[5390])).
% 53.61/33.79 tff(5392,plain,
% 53.61/33.79 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB24, 0)) | (~v100(constB24)) | v129(constB24, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB24, 0)) | v129(constB24, 0) | (~v100(constB24)))),
% 53.61/33.79 inference(transitivity,[status(thm)],[5391, 5389])).
% 53.61/33.79 tff(5393,plain,
% 53.61/33.79 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB24, 0)) | (~v100(constB24)) | v129(constB24, 0))),
% 53.61/33.79 inference(quant_inst,[status(thm)],[])).
% 53.61/33.79 tff(5394,plain,
% 53.61/33.79 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB24, 0)) | v129(constB24, 0) | (~v100(constB24))),
% 53.61/33.79 inference(modus_ponens,[status(thm)],[5393, 5392])).
% 53.61/33.79 tff(5395,plain,
% 53.61/33.79 (v129(constB24, 0) | (~v100(constB24))),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5394, 1704, 5388])).
% 53.61/33.79 tff(5396,plain,
% 53.61/33.79 (v129(constB24, 0)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5395, 5127])).
% 53.61/33.79 tff(5397,plain,
% 53.61/33.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB23, constB24)) | v127(constB23, 0) | (~v129(constB24, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB23, constB24)) | v127(constB23, 0) | (~v129(constB24, 0)))),
% 53.61/33.79 inference(rewrite,[status(thm)],[])).
% 53.61/33.79 tff(5398,plain,
% 53.61/33.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB23, constB24)) | v127(constB23, 0) | (~v129(constB24, 0)))),
% 53.61/33.79 inference(quant_inst,[status(thm)],[])).
% 53.61/33.79 tff(5399,plain,
% 53.61/33.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB23, constB24)) | v127(constB23, 0) | (~v129(constB24, 0))),
% 53.61/33.79 inference(modus_ponens,[status(thm)],[5398, 5397])).
% 53.61/33.79 tff(5400,plain,
% 53.61/33.79 (v127(constB23, 0) | (~v129(constB24, 0))),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5399, 1689, 4562])).
% 53.61/33.79 tff(5401,plain,
% 53.61/33.79 (v127(constB23, 0)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5400, 5396])).
% 53.61/33.79 tff(5402,plain,
% 53.61/33.79 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB23, 0)) | v26(constB23) | v130(constB23, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB23, 0)) | v26(constB23) | v130(constB23, 0))),
% 53.61/33.79 inference(rewrite,[status(thm)],[])).
% 53.61/33.79 tff(5403,plain,
% 53.61/33.79 ((v26(constB23) | v130(constB23, 0) | (~v127(constB23, 0))) <=> ((~v127(constB23, 0)) | v26(constB23) | v130(constB23, 0))),
% 53.61/33.79 inference(rewrite,[status(thm)],[])).
% 53.61/33.79 tff(5404,plain,
% 53.61/33.79 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB23) | v130(constB23, 0) | (~v127(constB23, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB23, 0)) | v26(constB23) | v130(constB23, 0)))),
% 53.61/33.79 inference(monotonicity,[status(thm)],[5403])).
% 53.61/33.79 tff(5405,plain,
% 53.61/33.79 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB23) | v130(constB23, 0) | (~v127(constB23, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB23, 0)) | v26(constB23) | v130(constB23, 0))),
% 53.61/33.79 inference(transitivity,[status(thm)],[5404, 5402])).
% 53.61/33.79 tff(5406,plain,
% 53.61/33.79 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB23) | v130(constB23, 0) | (~v127(constB23, 0)))),
% 53.61/33.79 inference(quant_inst,[status(thm)],[])).
% 53.61/33.79 tff(5407,plain,
% 53.61/33.79 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB23, 0)) | v26(constB23) | v130(constB23, 0)),
% 53.61/33.79 inference(modus_ponens,[status(thm)],[5406, 5405])).
% 53.61/33.79 tff(5408,plain,
% 53.61/33.79 ((~v127(constB23, 0)) | v130(constB23, 0)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5407, 1671, 4544])).
% 53.61/33.79 tff(5409,plain,
% 53.61/33.79 (v130(constB23, 0)),
% 53.61/33.79 inference(unit_resolution,[status(thm)],[5408, 5401])).
% 53.61/33.79 tff(5410,plain,
% 53.61/33.79 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB23)) | (~v130(constB23, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB23)) | (~v130(constB23, 0)))),
% 53.61/33.80 inference(rewrite,[status(thm)],[])).
% 53.61/33.80 tff(5411,plain,
% 53.61/33.80 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB23)) | (~v130(constB23, 0)))),
% 53.61/33.80 inference(quant_inst,[status(thm)],[])).
% 53.61/33.80 tff(5412,plain,
% 53.61/33.80 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB23)) | (~v130(constB23, 0))),
% 53.61/33.80 inference(modus_ponens,[status(thm)],[5411, 5410])).
% 53.61/33.80 tff(5413,plain,
% 53.61/33.80 (~v122(constB23)),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[5412, 2407, 5409])).
% 53.61/33.80 tff(5414,assumption,(~v120(constB23)), introduced(assumption)).
% 53.61/33.80 tff(5415,assumption,(~v122(constB23)), introduced(assumption)).
% 53.61/33.80 tff(5416,assumption,(v90(constB23, 0)), introduced(assumption)).
% 53.61/33.80 tff(5417,plain,
% 53.61/33.80 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB23, 0)) | (~v90(constB23, 1)) | v90(constB23, 2) | v122(constB23))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB23, 0)) | (~v90(constB23, 1)) | v90(constB23, 2) | v122(constB23))),
% 53.61/33.80 inference(rewrite,[status(thm)],[])).
% 53.61/33.80 tff(5418,plain,
% 53.61/33.80 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB23, 0)) | (~v90(constB23, 1)) | v90(constB23, 2) | v122(constB23))),
% 53.61/33.80 inference(quant_inst,[status(thm)],[])).
% 53.61/33.80 tff(5419,plain,
% 53.61/33.80 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB23, 0)) | (~v90(constB23, 1)) | v90(constB23, 2) | v122(constB23)),
% 53.61/33.80 inference(modus_ponens,[status(thm)],[5418, 5417])).
% 53.61/33.80 tff(5420,plain,
% 53.61/33.80 ((~v90(constB23, 1)) | v90(constB23, 2) | v122(constB23)),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[5419, 1956, 5416])).
% 53.61/33.80 tff(5421,plain,
% 53.61/33.80 (~v90(constB23, 1)),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[5420, 5118, 5415])).
% 53.61/33.80 tff(5422,plain,
% 53.61/33.80 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB23, 0)) | v90(constB23, 1) | v90(constB23, 2) | v120(constB23))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB23, 0)) | v90(constB23, 1) | v90(constB23, 2) | v120(constB23))),
% 53.61/33.80 inference(rewrite,[status(thm)],[])).
% 53.61/33.80 tff(5423,plain,
% 53.61/33.80 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB23, 0)) | v90(constB23, 1) | v90(constB23, 2) | v120(constB23))),
% 53.61/33.80 inference(quant_inst,[status(thm)],[])).
% 53.61/33.80 tff(5424,plain,
% 53.61/33.80 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB23, 0)) | v90(constB23, 1) | v90(constB23, 2) | v120(constB23)),
% 53.61/33.80 inference(modus_ponens,[status(thm)],[5423, 5422])).
% 53.61/33.80 tff(5425,plain,
% 53.61/33.80 (v90(constB23, 1) | v90(constB23, 2) | v120(constB23)),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[5424, 1414, 5416])).
% 53.61/33.80 tff(5426,plain,
% 53.61/33.80 ($false),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[5425, 5421, 5118, 5414])).
% 53.61/33.80 tff(5427,plain,(v90(constB23, 2) | v120(constB23) | (~v90(constB23, 0)) | v122(constB23)), inference(lemma,lemma(discharge,[]))).
% 53.61/33.80 tff(5428,plain,
% 53.61/33.80 ($false),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[5427, 5413, 5379, 5118, 5371])).
% 53.61/33.80 tff(5429,plain,(v90(constB23, 2) | (~v90(constB24, 2)) | v122(constB25) | (~v90(constB25, 0))), inference(lemma,lemma(discharge,[]))).
% 53.61/33.80 tff(5430,plain,
% 53.61/33.80 (v90(constB23, 2)),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[5429, 5080, 4699, 5117])).
% 53.61/33.80 tff(5431,plain,
% 53.61/33.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB22, 2) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB22, 2) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 2)))),
% 53.61/33.80 inference(rewrite,[status(thm)],[])).
% 53.61/33.80 tff(5432,plain,
% 53.61/33.80 (((~nextState(constB22, constB23)) | v90(constB22, 2) | v100(constB23) | (~v90(constB23, 2))) <=> (v90(constB22, 2) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 2)))),
% 53.61/33.80 inference(rewrite,[status(thm)],[])).
% 53.61/33.80 tff(5433,plain,
% 53.61/33.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB22, constB23)) | v90(constB22, 2) | v100(constB23) | (~v90(constB23, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB22, 2) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 2))))),
% 53.61/33.80 inference(monotonicity,[status(thm)],[5432])).
% 53.61/33.80 tff(5434,plain,
% 53.61/33.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB22, constB23)) | v90(constB22, 2) | v100(constB23) | (~v90(constB23, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB22, 2) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 2)))),
% 53.61/33.80 inference(transitivity,[status(thm)],[5433, 5431])).
% 53.61/33.80 tff(5435,plain,
% 53.61/33.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB22, constB23)) | v90(constB22, 2) | v100(constB23) | (~v90(constB23, 2)))),
% 53.61/33.80 inference(quant_inst,[status(thm)],[])).
% 53.61/33.80 tff(5436,plain,
% 53.61/33.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB22, 2) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 2))),
% 53.61/33.80 inference(modus_ponens,[status(thm)],[5435, 5434])).
% 53.61/33.80 tff(5437,plain,
% 53.61/33.80 (v90(constB22, 2) | v100(constB23) | (~v90(constB23, 2))),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[5436, 905, 4439])).
% 53.61/33.80 tff(5438,plain,
% 53.61/33.80 (v90(constB22, 2) | (~v90(constB23, 2))),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[5437, 4451])).
% 53.61/33.80 tff(5439,plain,
% 53.61/33.80 (v90(constB22, 2)),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[5438, 5430])).
% 53.61/33.80 tff(5440,assumption,(~v100(constB24)), introduced(assumption)).
% 53.61/33.80 tff(5441,plain,
% 53.61/33.80 (~v110(constB24)),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[4592, 5440])).
% 53.61/33.80 tff(5442,plain,
% 53.61/33.80 (~v108(constB23)),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[4569, 5441])).
% 53.61/33.80 tff(5443,plain,
% 53.61/33.80 (~v112(constB23)),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[4558, 1075, 5442])).
% 53.61/33.80 tff(5444,plain,
% 53.61/33.80 (~v113(constB23)),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[4551, 5443])).
% 53.61/33.80 tff(5445,plain,
% 53.61/33.80 (~v114(constB23)),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[4539, 1049, 5444])).
% 53.61/33.80 tff(5446,plain,
% 53.61/33.80 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB23) | (~v115(constB23)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB23) | (~v115(constB23)))),
% 53.61/33.80 inference(rewrite,[status(thm)],[])).
% 53.61/33.80 tff(5447,plain,
% 53.61/33.80 (((~v115(constB23)) | v114(constB23)) <=> (v114(constB23) | (~v115(constB23)))),
% 53.61/33.80 inference(rewrite,[status(thm)],[])).
% 53.61/33.80 tff(5448,plain,
% 53.61/33.80 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB23)) | v114(constB23))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB23) | (~v115(constB23))))),
% 53.61/33.80 inference(monotonicity,[status(thm)],[5447])).
% 53.61/33.80 tff(5449,plain,
% 53.61/33.80 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB23)) | v114(constB23))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB23) | (~v115(constB23)))),
% 53.61/33.80 inference(transitivity,[status(thm)],[5448, 5446])).
% 53.61/33.80 tff(5450,plain,
% 53.61/33.80 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB23)) | v114(constB23))),
% 53.61/33.80 inference(quant_inst,[status(thm)],[])).
% 53.61/33.80 tff(5451,plain,
% 53.61/33.80 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB23) | (~v115(constB23))),
% 53.61/33.80 inference(modus_ponens,[status(thm)],[5450, 5449])).
% 53.61/33.80 tff(5452,plain,
% 53.61/33.80 (~v115(constB23)),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[5451, 1035, 5445])).
% 53.61/33.80 tff(5453,plain,
% 53.61/33.80 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB23) | (~v123(constB23)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB23) | (~v123(constB23)))),
% 53.61/33.80 inference(rewrite,[status(thm)],[])).
% 53.61/33.80 tff(5454,plain,
% 53.61/33.80 (((~v123(constB23)) | v115(constB23)) <=> (v115(constB23) | (~v123(constB23)))),
% 53.61/33.80 inference(rewrite,[status(thm)],[])).
% 53.61/33.80 tff(5455,plain,
% 53.61/33.80 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB23)) | v115(constB23))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB23) | (~v123(constB23))))),
% 53.61/33.80 inference(monotonicity,[status(thm)],[5454])).
% 53.61/33.80 tff(5456,plain,
% 53.61/33.80 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB23)) | v115(constB23))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB23) | (~v123(constB23)))),
% 53.61/33.80 inference(transitivity,[status(thm)],[5455, 5453])).
% 53.61/33.80 tff(5457,plain,
% 53.61/33.80 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB23)) | v115(constB23))),
% 53.61/33.80 inference(quant_inst,[status(thm)],[])).
% 53.61/33.80 tff(5458,plain,
% 53.61/33.80 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB23) | (~v123(constB23))),
% 53.61/33.80 inference(modus_ponens,[status(thm)],[5457, 5456])).
% 53.61/33.80 tff(5459,plain,
% 53.61/33.80 (~v123(constB23)),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[5458, 2291, 5452])).
% 53.61/33.80 tff(5460,assumption,(~v90(constB24, 0)), introduced(assumption)).
% 53.61/33.80 tff(5461,assumption,(v119(constB23)), introduced(assumption)).
% 53.61/33.80 tff(5462,plain,
% 53.61/33.80 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB23) | (~v119(constB23)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB23) | (~v119(constB23)))),
% 53.61/33.80 inference(rewrite,[status(thm)],[])).
% 53.61/33.80 tff(5463,plain,
% 53.61/33.80 (((~v119(constB23)) | v118(constB23)) <=> (v118(constB23) | (~v119(constB23)))),
% 53.61/33.80 inference(rewrite,[status(thm)],[])).
% 53.61/33.80 tff(5464,plain,
% 53.61/33.80 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB23)) | v118(constB23))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB23) | (~v119(constB23))))),
% 53.61/33.80 inference(monotonicity,[status(thm)],[5463])).
% 53.61/33.80 tff(5465,plain,
% 53.61/33.80 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB23)) | v118(constB23))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB23) | (~v119(constB23)))),
% 53.61/33.80 inference(transitivity,[status(thm)],[5464, 5462])).
% 53.61/33.80 tff(5466,plain,
% 53.61/33.80 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB23)) | v118(constB23))),
% 53.61/33.80 inference(quant_inst,[status(thm)],[])).
% 53.61/33.80 tff(5467,plain,
% 53.61/33.80 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB23) | (~v119(constB23))),
% 53.61/33.80 inference(modus_ponens,[status(thm)],[5466, 5465])).
% 53.61/33.80 tff(5468,plain,
% 53.61/33.80 (v118(constB23)),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[5467, 982, 5461])).
% 53.61/33.80 tff(5469,plain,
% 53.61/33.80 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB23) | (~v118(constB23)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB23) | (~v118(constB23)))),
% 53.61/33.80 inference(rewrite,[status(thm)],[])).
% 53.61/33.80 tff(5470,plain,
% 53.61/33.80 (((~v118(constB23)) | v117(constB23)) <=> (v117(constB23) | (~v118(constB23)))),
% 53.61/33.80 inference(rewrite,[status(thm)],[])).
% 53.61/33.80 tff(5471,plain,
% 53.61/33.80 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB23)) | v117(constB23))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB23) | (~v118(constB23))))),
% 53.61/33.80 inference(monotonicity,[status(thm)],[5470])).
% 53.61/33.80 tff(5472,plain,
% 53.61/33.80 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB23)) | v117(constB23))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB23) | (~v118(constB23)))),
% 53.61/33.80 inference(transitivity,[status(thm)],[5471, 5469])).
% 53.61/33.80 tff(5473,plain,
% 53.61/33.80 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB23)) | v117(constB23))),
% 53.61/33.80 inference(quant_inst,[status(thm)],[])).
% 53.61/33.80 tff(5474,plain,
% 53.61/33.80 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB23) | (~v118(constB23))),
% 53.61/33.80 inference(modus_ponens,[status(thm)],[5473, 5472])).
% 53.61/33.80 tff(5475,plain,
% 53.61/33.80 (v117(constB23)),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[5474, 993, 5468])).
% 53.61/33.80 tff(5476,plain,
% 53.61/33.80 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB23) | (~v117(constB23)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB23) | (~v117(constB23)))),
% 53.61/33.80 inference(rewrite,[status(thm)],[])).
% 53.61/33.80 tff(5477,plain,
% 53.61/33.80 (((~v117(constB23)) | v116(constB23)) <=> (v116(constB23) | (~v117(constB23)))),
% 53.61/33.80 inference(rewrite,[status(thm)],[])).
% 53.61/33.80 tff(5478,plain,
% 53.61/33.80 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB23)) | v116(constB23))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB23) | (~v117(constB23))))),
% 53.61/33.80 inference(monotonicity,[status(thm)],[5477])).
% 53.61/33.80 tff(5479,plain,
% 53.61/33.80 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB23)) | v116(constB23))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB23) | (~v117(constB23)))),
% 53.61/33.80 inference(transitivity,[status(thm)],[5478, 5476])).
% 53.61/33.80 tff(5480,plain,
% 53.61/33.80 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB23)) | v116(constB23))),
% 53.61/33.80 inference(quant_inst,[status(thm)],[])).
% 53.61/33.80 tff(5481,plain,
% 53.61/33.80 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB23) | (~v117(constB23))),
% 53.61/33.80 inference(modus_ponens,[status(thm)],[5480, 5479])).
% 53.61/33.80 tff(5482,plain,
% 53.61/33.80 (v116(constB23)),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[5481, 1007, 5475])).
% 53.61/33.80 tff(5483,plain,
% 53.61/33.80 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB23) | (~v116(constB23)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB23) | (~v116(constB23)))),
% 53.61/33.80 inference(rewrite,[status(thm)],[])).
% 53.61/33.80 tff(5484,plain,
% 53.61/33.80 (((~v116(constB23)) | v115(constB23)) <=> (v115(constB23) | (~v116(constB23)))),
% 53.61/33.80 inference(rewrite,[status(thm)],[])).
% 53.61/33.80 tff(5485,plain,
% 53.61/33.80 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB23)) | v115(constB23))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB23) | (~v116(constB23))))),
% 53.61/33.80 inference(monotonicity,[status(thm)],[5484])).
% 53.61/33.80 tff(5486,plain,
% 53.61/33.80 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB23)) | v115(constB23))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB23) | (~v116(constB23)))),
% 53.61/33.80 inference(transitivity,[status(thm)],[5485, 5483])).
% 53.61/33.80 tff(5487,plain,
% 53.61/33.80 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB23)) | v115(constB23))),
% 53.61/33.80 inference(quant_inst,[status(thm)],[])).
% 53.61/33.80 tff(5488,plain,
% 53.61/33.80 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB23) | (~v116(constB23))),
% 53.61/33.80 inference(modus_ponens,[status(thm)],[5487, 5486])).
% 53.61/33.80 tff(5489,plain,
% 53.61/33.80 (v115(constB23)),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[5488, 1021, 5482])).
% 53.61/33.80 tff(5490,plain,
% 53.61/33.80 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB23)) | v130(constB23, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB23)) | v130(constB23, 0))),
% 53.61/33.80 inference(rewrite,[status(thm)],[])).
% 53.61/33.80 tff(5491,plain,
% 53.61/33.80 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB23)) | v130(constB23, 0))),
% 53.61/33.80 inference(quant_inst,[status(thm)],[])).
% 53.61/33.80 tff(5492,plain,
% 53.61/33.80 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB23)) | v130(constB23, 0)),
% 53.61/33.80 inference(modus_ponens,[status(thm)],[5491, 5490])).
% 53.61/33.80 tff(5493,plain,
% 53.61/33.80 (v130(constB23, 0)),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[5492, 1333, 5461])).
% 53.61/33.80 tff(5494,plain,
% 53.61/33.80 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB23) | (~v130(constB23, 0)) | v127(constB23, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB23) | (~v130(constB23, 0)) | v127(constB23, 0))),
% 53.61/33.80 inference(rewrite,[status(thm)],[])).
% 53.61/33.80 tff(5495,plain,
% 53.61/33.80 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB23) | (~v130(constB23, 0)) | v127(constB23, 0))),
% 53.61/33.80 inference(quant_inst,[status(thm)],[])).
% 53.61/33.80 tff(5496,plain,
% 53.61/33.80 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB23) | (~v130(constB23, 0)) | v127(constB23, 0)),
% 53.61/33.80 inference(modus_ponens,[status(thm)],[5495, 5494])).
% 53.61/33.80 tff(5497,plain,
% 53.61/33.80 ((~v130(constB23, 0)) | v127(constB23, 0)),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[5496, 1347, 4544])).
% 53.61/33.80 tff(5498,plain,
% 53.61/33.80 (v127(constB23, 0)),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[5497, 5493])).
% 53.61/33.80 tff(5499,plain,
% 53.61/33.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB23, constB24)) | (~v127(constB23, 0)) | v129(constB24, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB23, constB24)) | (~v127(constB23, 0)) | v129(constB24, 0))),
% 53.61/33.80 inference(rewrite,[status(thm)],[])).
% 53.61/33.80 tff(5500,plain,
% 53.61/33.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB23, constB24)) | (~v127(constB23, 0)) | v129(constB24, 0))),
% 53.61/33.80 inference(quant_inst,[status(thm)],[])).
% 53.61/33.80 tff(5501,plain,
% 53.61/33.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB23, constB24)) | (~v127(constB23, 0)) | v129(constB24, 0)),
% 53.61/33.80 inference(modus_ponens,[status(thm)],[5500, 5499])).
% 53.61/33.80 tff(5502,plain,
% 53.61/33.80 ((~v127(constB23, 0)) | v129(constB24, 0)),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[5501, 1362, 4562])).
% 53.61/33.80 tff(5503,plain,
% 53.61/33.80 (v129(constB24, 0)),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[5502, 5498])).
% 53.61/33.80 tff(5504,plain,
% 53.61/33.80 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB24, 0) | (~v129(constB24, 0)) | (~v100(constB24)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB24, 0) | (~v129(constB24, 0)) | (~v100(constB24)))),
% 53.61/33.80 inference(rewrite,[status(thm)],[])).
% 53.61/33.80 tff(5505,plain,
% 53.61/33.80 ((v90(constB24, 0) | (~v100(constB24)) | (~v129(constB24, 0))) <=> (v90(constB24, 0) | (~v129(constB24, 0)) | (~v100(constB24)))),
% 53.61/33.80 inference(rewrite,[status(thm)],[])).
% 53.61/33.80 tff(5506,plain,
% 53.61/33.80 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB24, 0) | (~v100(constB24)) | (~v129(constB24, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB24, 0) | (~v129(constB24, 0)) | (~v100(constB24))))),
% 53.61/33.80 inference(monotonicity,[status(thm)],[5505])).
% 53.61/33.80 tff(5507,plain,
% 53.61/33.80 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB24, 0) | (~v100(constB24)) | (~v129(constB24, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB24, 0) | (~v129(constB24, 0)) | (~v100(constB24)))),
% 53.61/33.80 inference(transitivity,[status(thm)],[5506, 5504])).
% 53.61/33.80 tff(5508,plain,
% 53.61/33.80 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB24, 0) | (~v100(constB24)) | (~v129(constB24, 0)))),
% 53.61/33.80 inference(quant_inst,[status(thm)],[])).
% 53.61/33.80 tff(5509,plain,
% 53.61/33.80 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB24, 0) | (~v129(constB24, 0)) | (~v100(constB24))),
% 53.61/33.80 inference(modus_ponens,[status(thm)],[5508, 5507])).
% 53.61/33.80 tff(5510,plain,
% 53.61/33.80 ((~v129(constB24, 0)) | (~v100(constB24))),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[5509, 1377, 5460])).
% 53.61/33.80 tff(5511,plain,
% 53.61/33.80 (~v100(constB24)),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[5510, 5503])).
% 53.61/33.80 tff(5512,plain,
% 53.61/33.80 (~v110(constB24)),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[4592, 5511])).
% 53.61/33.80 tff(5513,plain,
% 53.61/33.80 (~v108(constB23)),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[4569, 5512])).
% 53.61/33.80 tff(5514,plain,
% 53.61/33.80 (~v112(constB23)),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[4558, 1075, 5513])).
% 53.61/33.80 tff(5515,plain,
% 53.61/33.80 (~v113(constB23)),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[4551, 5514])).
% 53.61/33.80 tff(5516,plain,
% 53.61/33.80 (~v114(constB23)),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[4539, 1049, 5515])).
% 53.61/33.80 tff(5517,plain,
% 53.61/33.80 ($false),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[5451, 1035, 5516, 5489])).
% 53.61/33.80 tff(5518,plain,((~v119(constB23)) | v90(constB24, 0)), inference(lemma,lemma(discharge,[]))).
% 53.61/33.80 tff(5519,plain,
% 53.61/33.80 (~v119(constB23)),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[5518, 5460])).
% 53.61/33.80 tff(5520,plain,
% 53.61/33.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB23, 0)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB23, 0)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, 0))),
% 53.61/33.80 inference(rewrite,[status(thm)],[])).
% 53.61/33.80 tff(5521,plain,
% 53.61/33.80 (((~nextState(constB23, constB24)) | (~v90(constB23, 0)) | v100(constB24) | v90(constB24, 0)) <=> ((~v90(constB23, 0)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, 0))),
% 53.61/33.80 inference(rewrite,[status(thm)],[])).
% 53.61/33.80 tff(5522,plain,
% 53.61/33.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB23, constB24)) | (~v90(constB23, 0)) | v100(constB24) | v90(constB24, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB23, 0)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, 0)))),
% 53.61/33.80 inference(monotonicity,[status(thm)],[5521])).
% 53.61/33.80 tff(5523,plain,
% 53.61/33.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB23, constB24)) | (~v90(constB23, 0)) | v100(constB24) | v90(constB24, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB23, 0)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, 0))),
% 53.61/33.80 inference(transitivity,[status(thm)],[5522, 5520])).
% 53.61/33.80 tff(5524,plain,
% 53.61/33.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB23, constB24)) | (~v90(constB23, 0)) | v100(constB24) | v90(constB24, 0))),
% 53.61/33.80 inference(quant_inst,[status(thm)],[])).
% 53.61/33.80 tff(5525,plain,
% 53.61/33.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB23, 0)) | (~nextState(constB23, constB24)) | v100(constB24) | v90(constB24, 0)),
% 53.61/33.80 inference(modus_ponens,[status(thm)],[5524, 5523])).
% 53.61/33.80 tff(5526,plain,
% 53.61/33.80 ((~v90(constB23, 0)) | v100(constB24) | v90(constB24, 0)),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[5525, 1395, 4562])).
% 53.61/33.80 tff(5527,plain,
% 53.61/33.80 (~v90(constB23, 0)),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[5526, 5440, 5460])).
% 53.61/33.80 tff(5528,plain,
% 53.61/33.80 (~v116(constB23)),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[5488, 1021, 5452])).
% 53.61/33.80 tff(5529,plain,
% 53.61/33.80 (~v117(constB23)),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[5481, 1007, 5528])).
% 53.61/33.80 tff(5530,plain,
% 53.61/33.80 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB23) | (~v121(constB23)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB23) | (~v121(constB23)))),
% 53.61/33.80 inference(rewrite,[status(thm)],[])).
% 53.61/33.80 tff(5531,plain,
% 53.61/33.80 (((~v121(constB23)) | v117(constB23)) <=> (v117(constB23) | (~v121(constB23)))),
% 53.61/33.80 inference(rewrite,[status(thm)],[])).
% 53.61/33.80 tff(5532,plain,
% 53.61/33.80 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB23)) | v117(constB23))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB23) | (~v121(constB23))))),
% 53.61/33.80 inference(monotonicity,[status(thm)],[5531])).
% 53.61/33.80 tff(5533,plain,
% 53.61/33.80 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB23)) | v117(constB23))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB23) | (~v121(constB23)))),
% 53.61/33.80 inference(transitivity,[status(thm)],[5532, 5530])).
% 53.61/33.80 tff(5534,plain,
% 53.61/33.80 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB23)) | v117(constB23))),
% 53.61/33.80 inference(quant_inst,[status(thm)],[])).
% 53.61/33.80 tff(5535,plain,
% 53.61/33.80 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB23) | (~v121(constB23))),
% 53.61/33.80 inference(modus_ponens,[status(thm)],[5534, 5533])).
% 53.61/33.80 tff(5536,plain,
% 53.61/33.80 (~v121(constB23)),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[5535, 1742, 5529])).
% 53.61/33.80 tff(5537,assumption,(~v119(constB23)), introduced(assumption)).
% 53.61/33.80 tff(5538,plain,
% 53.61/33.80 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB23, 0) | v90(constB23, 1) | v90(constB23, 2) | v119(constB23))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB23, 0) | v90(constB23, 1) | v90(constB23, 2) | v119(constB23))),
% 53.61/33.80 inference(rewrite,[status(thm)],[])).
% 53.61/33.80 tff(5539,plain,
% 53.61/33.80 ((v90(constB23, 0) | v119(constB23) | v90(constB23, 1) | v90(constB23, 2)) <=> (v90(constB23, 0) | v90(constB23, 1) | v90(constB23, 2) | v119(constB23))),
% 53.61/33.80 inference(rewrite,[status(thm)],[])).
% 53.61/33.80 tff(5540,plain,
% 53.61/33.80 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB23, 0) | v119(constB23) | v90(constB23, 1) | v90(constB23, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB23, 0) | v90(constB23, 1) | v90(constB23, 2) | v119(constB23)))),
% 53.61/33.80 inference(monotonicity,[status(thm)],[5539])).
% 53.61/33.80 tff(5541,plain,
% 53.61/33.80 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB23, 0) | v119(constB23) | v90(constB23, 1) | v90(constB23, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB23, 0) | v90(constB23, 1) | v90(constB23, 2) | v119(constB23))),
% 53.61/33.80 inference(transitivity,[status(thm)],[5540, 5538])).
% 53.61/33.80 tff(5542,plain,
% 53.61/33.80 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB23, 0) | v119(constB23) | v90(constB23, 1) | v90(constB23, 2))),
% 53.61/33.80 inference(quant_inst,[status(thm)],[])).
% 53.61/33.80 tff(5543,plain,
% 53.61/33.80 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB23, 0) | v90(constB23, 1) | v90(constB23, 2) | v119(constB23)),
% 53.61/33.80 inference(modus_ponens,[status(thm)],[5542, 5541])).
% 53.61/33.80 tff(5544,plain,
% 53.61/33.80 (v90(constB23, 0) | v90(constB23, 1) | v90(constB23, 2)),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[5543, 968, 5537])).
% 53.61/33.80 tff(5545,plain,
% 53.61/33.80 (v90(constB23, 1)),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[5544, 5118, 5167])).
% 53.61/33.80 tff(5546,plain,
% 53.61/33.80 ((~v90(constB23, 1)) | v90(constB23, 2) | v121(constB23)),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[5172, 1731, 5167])).
% 53.61/33.80 tff(5547,plain,
% 53.61/33.80 ($false),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[5546, 5545, 5118, 5169])).
% 53.61/33.80 tff(5548,plain,(v90(constB23, 2) | v121(constB23) | v90(constB23, 0) | v119(constB23)), inference(lemma,lemma(discharge,[]))).
% 53.61/33.80 tff(5549,plain,
% 53.61/33.80 (v90(constB23, 2)),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[5548, 5536, 5527, 5519])).
% 53.61/33.80 tff(5550,plain,
% 53.61/33.80 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB23) | (~v125(constB23)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB23) | (~v125(constB23)))),
% 53.61/33.80 inference(rewrite,[status(thm)],[])).
% 53.61/33.80 tff(5551,plain,
% 53.61/33.80 (((~v125(constB23)) | v113(constB23)) <=> (v113(constB23) | (~v125(constB23)))),
% 53.61/33.80 inference(rewrite,[status(thm)],[])).
% 53.61/33.80 tff(5552,plain,
% 53.61/33.80 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB23)) | v113(constB23))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB23) | (~v125(constB23))))),
% 53.61/33.80 inference(monotonicity,[status(thm)],[5551])).
% 53.61/33.80 tff(5553,plain,
% 53.61/33.80 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB23)) | v113(constB23))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB23) | (~v125(constB23)))),
% 53.61/33.80 inference(transitivity,[status(thm)],[5552, 5550])).
% 53.61/33.80 tff(5554,plain,
% 53.61/33.80 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB23)) | v113(constB23))),
% 53.61/33.80 inference(quant_inst,[status(thm)],[])).
% 53.61/33.80 tff(5555,plain,
% 53.61/33.80 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB23) | (~v125(constB23))),
% 53.61/33.80 inference(modus_ponens,[status(thm)],[5554, 5553])).
% 53.61/33.80 tff(5556,plain,
% 53.61/33.80 (~v125(constB23)),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[5555, 2262, 5444])).
% 53.61/33.80 tff(5557,plain,
% 53.61/33.80 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB23, 0) | (~v90(constB23, 1)) | (~v90(constB23, 2)) | v125(constB23))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB23, 0) | (~v90(constB23, 1)) | (~v90(constB23, 2)) | v125(constB23))),
% 53.61/33.80 inference(rewrite,[status(thm)],[])).
% 53.61/33.80 tff(5558,plain,
% 53.61/33.80 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB23, 0) | (~v90(constB23, 1)) | (~v90(constB23, 2)) | v125(constB23))),
% 53.61/33.80 inference(quant_inst,[status(thm)],[])).
% 53.61/33.80 tff(5559,plain,
% 53.61/33.80 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB23, 0) | (~v90(constB23, 1)) | (~v90(constB23, 2)) | v125(constB23)),
% 53.61/33.80 inference(modus_ponens,[status(thm)],[5558, 5557])).
% 53.61/33.80 tff(5560,plain,
% 53.61/33.80 ((~v90(constB23, 1)) | (~v90(constB23, 2)) | v125(constB23)),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[5559, 2279, 5527])).
% 53.61/33.80 tff(5561,plain,
% 53.61/33.80 (~v90(constB23, 1)),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[5560, 5549, 5556])).
% 53.61/33.80 tff(5562,plain,
% 53.61/33.80 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB23, 0) | v90(constB23, 1) | (~v90(constB23, 2)) | v123(constB23))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB23, 0) | v90(constB23, 1) | (~v90(constB23, 2)) | v123(constB23))),
% 53.61/33.80 inference(rewrite,[status(thm)],[])).
% 53.61/33.80 tff(5563,plain,
% 53.61/33.80 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB23, 0) | v90(constB23, 1) | (~v90(constB23, 2)) | v123(constB23))),
% 53.61/33.80 inference(quant_inst,[status(thm)],[])).
% 53.61/33.80 tff(5564,plain,
% 53.61/33.80 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB23, 0) | v90(constB23, 1) | (~v90(constB23, 2)) | v123(constB23)),
% 53.61/33.80 inference(modus_ponens,[status(thm)],[5563, 5562])).
% 53.61/33.80 tff(5565,plain,
% 53.61/33.80 (v90(constB23, 1) | (~v90(constB23, 2)) | v123(constB23)),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[5564, 2308, 5527])).
% 53.61/33.80 tff(5566,plain,
% 53.61/33.80 ($false),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[5565, 5561, 5549, 5459])).
% 53.61/33.80 tff(5567,plain,(v100(constB24) | v90(constB24, 0)), inference(lemma,lemma(discharge,[]))).
% 53.61/33.80 tff(5568,plain,
% 53.61/33.80 (v90(constB24, 0)),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[5567, 5440])).
% 53.61/33.80 tff(5569,plain,
% 53.61/33.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB23, 0) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB23, 0) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, 0)))),
% 53.61/33.80 inference(rewrite,[status(thm)],[])).
% 53.61/33.80 tff(5570,plain,
% 53.61/33.80 (((~nextState(constB23, constB24)) | v90(constB23, 0) | v100(constB24) | (~v90(constB24, 0))) <=> (v90(constB23, 0) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, 0)))),
% 53.61/33.80 inference(rewrite,[status(thm)],[])).
% 53.61/33.80 tff(5571,plain,
% 53.61/33.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB23, constB24)) | v90(constB23, 0) | v100(constB24) | (~v90(constB24, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB23, 0) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, 0))))),
% 53.61/33.80 inference(monotonicity,[status(thm)],[5570])).
% 53.61/33.80 tff(5572,plain,
% 53.61/33.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB23, constB24)) | v90(constB23, 0) | v100(constB24) | (~v90(constB24, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB23, 0) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, 0)))),
% 53.61/33.80 inference(transitivity,[status(thm)],[5571, 5569])).
% 53.61/33.80 tff(5573,plain,
% 53.61/33.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB23, constB24)) | v90(constB23, 0) | v100(constB24) | (~v90(constB24, 0)))),
% 53.61/33.80 inference(quant_inst,[status(thm)],[])).
% 53.61/33.80 tff(5574,plain,
% 53.61/33.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB23, 0) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, 0))),
% 53.61/33.80 inference(modus_ponens,[status(thm)],[5573, 5572])).
% 53.61/33.80 tff(5575,plain,
% 53.61/33.80 (v90(constB23, 0) | v100(constB24) | (~v90(constB24, 0))),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[5574, 947, 4562])).
% 53.61/33.80 tff(5576,plain,
% 53.61/33.80 ($false),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[5575, 5568, 5440, 5167])).
% 53.61/33.80 tff(5577,plain,(v100(constB24) | v90(constB23, 0)), inference(lemma,lemma(discharge,[]))).
% 53.61/33.80 tff(5578,plain,
% 53.61/33.80 (v100(constB24)),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[5577, 5167])).
% 53.61/33.80 tff(5579,assumption,(v90(constB24, 1)), introduced(assumption)).
% 53.61/33.80 tff(5580,plain,
% 53.61/33.80 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB24, 1)) | v129(constB24, 1) | (~v100(constB24)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB24, 1)) | v129(constB24, 1) | (~v100(constB24)))),
% 53.61/33.80 inference(rewrite,[status(thm)],[])).
% 53.61/33.80 tff(5581,plain,
% 53.61/33.80 (((~v90(constB24, 1)) | (~v100(constB24)) | v129(constB24, 1)) <=> ((~v90(constB24, 1)) | v129(constB24, 1) | (~v100(constB24)))),
% 53.61/33.80 inference(rewrite,[status(thm)],[])).
% 53.61/33.80 tff(5582,plain,
% 53.61/33.80 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB24, 1)) | (~v100(constB24)) | v129(constB24, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB24, 1)) | v129(constB24, 1) | (~v100(constB24))))),
% 53.61/33.80 inference(monotonicity,[status(thm)],[5581])).
% 53.61/33.80 tff(5583,plain,
% 53.61/33.80 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB24, 1)) | (~v100(constB24)) | v129(constB24, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB24, 1)) | v129(constB24, 1) | (~v100(constB24)))),
% 53.61/33.80 inference(transitivity,[status(thm)],[5582, 5580])).
% 53.61/33.80 tff(5584,plain,
% 53.61/33.80 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB24, 1)) | (~v100(constB24)) | v129(constB24, 1))),
% 53.61/33.80 inference(quant_inst,[status(thm)],[])).
% 53.61/33.80 tff(5585,plain,
% 53.61/33.80 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB24, 1)) | v129(constB24, 1) | (~v100(constB24))),
% 53.61/33.80 inference(modus_ponens,[status(thm)],[5584, 5583])).
% 53.61/33.80 tff(5586,plain,
% 53.61/33.80 (v129(constB24, 1) | (~v100(constB24))),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[5585, 1309, 5579])).
% 53.61/33.80 tff(5587,plain,
% 53.61/33.80 (v129(constB24, 1)),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[5586, 5578])).
% 53.61/33.80 tff(5588,plain,
% 53.61/33.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB23, constB24)) | v127(constB23, 1) | (~v129(constB24, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB23, constB24)) | v127(constB23, 1) | (~v129(constB24, 1)))),
% 53.61/33.80 inference(rewrite,[status(thm)],[])).
% 53.61/33.80 tff(5589,plain,
% 53.61/33.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB23, constB24)) | v127(constB23, 1) | (~v129(constB24, 1)))),
% 53.61/33.80 inference(quant_inst,[status(thm)],[])).
% 53.61/33.80 tff(5590,plain,
% 53.61/33.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB23, constB24)) | v127(constB23, 1) | (~v129(constB24, 1))),
% 53.61/33.80 inference(modus_ponens,[status(thm)],[5589, 5588])).
% 53.61/33.80 tff(5591,plain,
% 53.61/33.80 (v127(constB23, 1) | (~v129(constB24, 1))),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[5590, 1294, 4562])).
% 53.61/33.80 tff(5592,plain,
% 53.61/33.80 (v127(constB23, 1)),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[5591, 5587])).
% 53.61/33.80 tff(5593,plain,
% 53.61/33.80 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB23, 1)) | v26(constB23) | v130(constB23, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB23, 1)) | v26(constB23) | v130(constB23, 1))),
% 53.61/33.80 inference(rewrite,[status(thm)],[])).
% 53.61/33.80 tff(5594,plain,
% 53.61/33.80 ((v26(constB23) | v130(constB23, 1) | (~v127(constB23, 1))) <=> ((~v127(constB23, 1)) | v26(constB23) | v130(constB23, 1))),
% 53.61/33.80 inference(rewrite,[status(thm)],[])).
% 53.61/33.80 tff(5595,plain,
% 53.61/33.80 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB23) | v130(constB23, 1) | (~v127(constB23, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB23, 1)) | v26(constB23) | v130(constB23, 1)))),
% 53.61/33.80 inference(monotonicity,[status(thm)],[5594])).
% 53.61/33.80 tff(5596,plain,
% 53.61/33.80 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB23) | v130(constB23, 1) | (~v127(constB23, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB23, 1)) | v26(constB23) | v130(constB23, 1))),
% 53.61/33.80 inference(transitivity,[status(thm)],[5595, 5593])).
% 53.61/33.80 tff(5597,plain,
% 53.61/33.80 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB23) | v130(constB23, 1) | (~v127(constB23, 1)))),
% 53.61/33.80 inference(quant_inst,[status(thm)],[])).
% 53.61/33.80 tff(5598,plain,
% 53.61/33.80 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB23, 1)) | v26(constB23) | v130(constB23, 1)),
% 53.61/33.80 inference(modus_ponens,[status(thm)],[5597, 5596])).
% 53.61/33.80 tff(5599,plain,
% 53.61/33.80 ((~v127(constB23, 1)) | v130(constB23, 1)),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[5598, 1276, 4544])).
% 53.61/33.80 tff(5600,plain,
% 53.61/33.80 (v130(constB23, 1)),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[5599, 5592])).
% 53.61/33.80 tff(5601,plain,
% 53.61/33.80 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB23)) | (~v130(constB23, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB23)) | (~v130(constB23, 1)))),
% 53.61/33.80 inference(rewrite,[status(thm)],[])).
% 53.61/33.80 tff(5602,plain,
% 53.61/33.80 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB23)) | (~v130(constB23, 1)))),
% 53.61/33.80 inference(quant_inst,[status(thm)],[])).
% 53.61/33.80 tff(5603,plain,
% 53.61/33.80 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB23)) | (~v130(constB23, 1))),
% 53.61/33.80 inference(modus_ponens,[status(thm)],[5602, 5601])).
% 53.61/33.80 tff(5604,plain,
% 53.61/33.80 (~v123(constB23)),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[5603, 2581, 5600])).
% 53.61/33.80 tff(5605,plain,
% 53.61/33.80 (v90(constB24, 0)),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[5518, 5461])).
% 53.61/33.80 tff(5606,plain,
% 53.61/33.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB24, 0)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB24, 0)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, 0))),
% 53.61/33.80 inference(rewrite,[status(thm)],[])).
% 53.61/33.80 tff(5607,plain,
% 53.61/33.80 (((~nextState(constB24, constB25)) | (~v90(constB24, 0)) | v100(constB25) | v90(constB25, 0)) <=> ((~v90(constB24, 0)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, 0))),
% 53.61/33.80 inference(rewrite,[status(thm)],[])).
% 53.61/33.80 tff(5608,plain,
% 53.61/33.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB24, constB25)) | (~v90(constB24, 0)) | v100(constB25) | v90(constB25, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB24, 0)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, 0)))),
% 53.61/33.80 inference(monotonicity,[status(thm)],[5607])).
% 53.61/33.80 tff(5609,plain,
% 53.61/33.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB24, constB25)) | (~v90(constB24, 0)) | v100(constB25) | v90(constB25, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB24, 0)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, 0))),
% 53.61/33.80 inference(transitivity,[status(thm)],[5608, 5606])).
% 53.61/33.80 tff(5610,plain,
% 53.61/33.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB24, constB25)) | (~v90(constB24, 0)) | v100(constB25) | v90(constB25, 0))),
% 53.61/33.80 inference(quant_inst,[status(thm)],[])).
% 53.61/33.80 tff(5611,plain,
% 53.61/33.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB24, 0)) | (~nextState(constB24, constB25)) | v100(constB25) | v90(constB25, 0)),
% 53.61/33.80 inference(modus_ponens,[status(thm)],[5610, 5609])).
% 53.61/33.80 tff(5612,plain,
% 53.61/33.80 ((~v90(constB24, 0)) | v100(constB25) | v90(constB25, 0)),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[5611, 1395, 4621])).
% 53.61/33.80 tff(5613,plain,
% 53.61/33.80 ((~v90(constB24, 0)) | v90(constB25, 0)),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[5612, 4633])).
% 53.61/33.80 tff(5614,plain,
% 53.61/33.80 (v90(constB25, 0)),
% 53.61/33.80 inference(unit_resolution,[status(thm)],[5613, 5605])).
% 53.61/33.81 tff(5615,plain,
% 53.61/33.81 (v90(constB25, 2)),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5092, 5614, 4699, 4952])).
% 53.61/33.81 tff(5616,plain,
% 53.61/33.81 (v90(constB24, 2)),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5116, 5615])).
% 53.61/33.81 tff(5617,plain,
% 53.61/33.81 (v100(constB24)),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5575, 5605, 5167])).
% 53.61/33.81 tff(5618,plain,
% 53.61/33.81 (v129(constB24, 2)),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5158, 1223, 5617, 5616])).
% 53.61/33.81 tff(5619,plain,
% 53.61/33.81 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB23)) | (~v130(constB23, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB23)) | (~v130(constB23, 2)))),
% 53.61/33.81 inference(rewrite,[status(thm)],[])).
% 53.61/33.81 tff(5620,plain,
% 53.61/33.81 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB23)) | (~v130(constB23, 2)))),
% 53.61/33.81 inference(quant_inst,[status(thm)],[])).
% 53.61/33.81 tff(5621,plain,
% 53.61/33.81 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB23)) | (~v130(constB23, 2))),
% 53.61/33.81 inference(modus_ponens,[status(thm)],[5620, 5619])).
% 53.61/33.81 tff(5622,plain,
% 53.61/33.81 (~v130(constB23, 2)),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5621, 1176, 5461])).
% 53.61/33.81 tff(5623,plain,
% 53.61/33.81 (~v127(constB23, 2)),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5149, 5622])).
% 53.61/33.81 tff(5624,plain,
% 53.61/33.81 ($false),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5154, 5623, 5618])).
% 53.61/33.81 tff(5625,plain,((~v119(constB23)) | v122(constB25) | v120(constB25) | v90(constB23, 0)), inference(lemma,lemma(discharge,[]))).
% 53.61/33.81 tff(5626,plain,
% 53.61/33.81 (~v119(constB23)),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5625, 5167, 4699, 4952])).
% 53.61/33.81 tff(5627,assumption,(~v130(constB23, 0)), introduced(assumption)).
% 53.61/33.81 tff(5628,plain,
% 53.61/33.81 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB23)) | v130(constB23, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB23)) | v130(constB23, 0))),
% 53.61/33.81 inference(rewrite,[status(thm)],[])).
% 53.61/33.81 tff(5629,plain,
% 53.61/33.81 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB23)) | v130(constB23, 0))),
% 53.61/33.81 inference(quant_inst,[status(thm)],[])).
% 53.61/33.81 tff(5630,plain,
% 53.61/33.81 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB23)) | v130(constB23, 0)),
% 53.61/33.81 inference(modus_ponens,[status(thm)],[5629, 5628])).
% 53.61/33.81 tff(5631,plain,
% 53.61/33.81 (~v121(constB23)),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5630, 1915, 5627])).
% 53.61/33.81 tff(5632,plain,
% 53.61/33.81 (v90(constB23, 2)),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5548, 5167, 5631, 5537])).
% 53.61/33.81 tff(5633,plain,
% 53.61/33.81 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB23)) | v130(constB23, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB23)) | v130(constB23, 0))),
% 53.61/33.81 inference(rewrite,[status(thm)],[])).
% 53.61/33.81 tff(5634,plain,
% 53.61/33.81 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB23)) | v130(constB23, 0))),
% 53.61/33.81 inference(quant_inst,[status(thm)],[])).
% 53.61/33.81 tff(5635,plain,
% 53.61/33.81 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB23)) | v130(constB23, 0)),
% 53.61/33.81 inference(modus_ponens,[status(thm)],[5634, 5633])).
% 53.61/33.81 tff(5636,plain,
% 53.61/33.81 (~v123(constB23)),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5635, 2622, 5627])).
% 53.61/33.81 tff(5637,plain,
% 53.61/33.81 (v90(constB23, 0) | v90(constB23, 1) | (~v90(constB23, 2))),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5564, 2308, 5636])).
% 53.61/33.81 tff(5638,plain,
% 53.61/33.81 (v90(constB23, 1)),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5637, 5167, 5632])).
% 53.61/33.81 tff(5639,plain,
% 53.61/33.81 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB23)) | (~v90(constB23, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB23)) | (~v90(constB23, 1)))),
% 53.61/33.81 inference(rewrite,[status(thm)],[])).
% 53.61/33.81 tff(5640,plain,
% 53.61/33.81 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB23)) | (~v90(constB23, 1)))),
% 53.61/33.81 inference(quant_inst,[status(thm)],[])).
% 53.61/33.81 tff(5641,plain,
% 53.61/33.81 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB23)) | (~v90(constB23, 1))),
% 53.61/33.81 inference(modus_ponens,[status(thm)],[5640, 5639])).
% 53.61/33.81 tff(5642,plain,
% 53.61/33.81 (~v124(constB23)),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5641, 2890, 5638])).
% 53.61/33.81 tff(5643,plain,
% 53.61/33.81 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB23)) | (~v90(constB23, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB23)) | (~v90(constB23, 2)))),
% 53.61/33.81 inference(rewrite,[status(thm)],[])).
% 53.61/33.81 tff(5644,plain,
% 53.61/33.81 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB23)) | (~v90(constB23, 2)))),
% 53.61/33.81 inference(quant_inst,[status(thm)],[])).
% 53.61/33.81 tff(5645,plain,
% 53.61/33.81 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB23)) | (~v90(constB23, 2))),
% 53.61/33.81 inference(modus_ponens,[status(thm)],[5644, 5643])).
% 53.61/33.81 tff(5646,plain,
% 53.61/33.81 (~v122(constB23)),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5645, 2797, 5632])).
% 53.61/33.81 tff(5647,plain,
% 53.61/33.81 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v120(constB23)) | (~v90(constB23, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | (~v120(constB23)) | (~v90(constB23, 2)))),
% 53.61/33.81 inference(rewrite,[status(thm)],[])).
% 53.61/33.81 tff(5648,plain,
% 53.61/33.81 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v120(constB23)) | (~v90(constB23, 2)))),
% 53.61/33.81 inference(quant_inst,[status(thm)],[])).
% 53.61/33.81 tff(5649,plain,
% 53.61/33.81 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | (~v120(constB23)) | (~v90(constB23, 2))),
% 53.61/33.81 inference(modus_ponens,[status(thm)],[5648, 5647])).
% 53.61/33.81 tff(5650,plain,
% 53.61/33.81 (~v120(constB23)),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5649, 3825, 5632])).
% 53.61/33.81 tff(5651,plain,
% 53.61/33.81 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB23) | v120(constB23) | v121(constB23) | v122(constB23) | v123(constB23) | v124(constB23) | v130(constB23, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB23) | v120(constB23) | v121(constB23) | v122(constB23) | v123(constB23) | v124(constB23) | v130(constB23, 0))),
% 53.61/33.81 inference(rewrite,[status(thm)],[])).
% 53.61/33.81 tff(5652,plain,
% 53.61/33.81 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB23) | v120(constB23) | v121(constB23) | v122(constB23) | v123(constB23) | v124(constB23) | v130(constB23, 0))),
% 53.61/33.81 inference(quant_inst,[status(thm)],[])).
% 53.61/33.81 tff(5653,plain,
% 53.61/33.81 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB23) | v120(constB23) | v121(constB23) | v122(constB23) | v123(constB23) | v124(constB23) | v130(constB23, 0)),
% 53.61/33.81 inference(modus_ponens,[status(thm)],[5652, 5651])).
% 53.61/33.81 tff(5654,plain,
% 53.61/33.81 (v120(constB23) | v121(constB23) | v122(constB23) | v123(constB23) | v124(constB23) | v130(constB23, 0)),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5653, 3413, 5537])).
% 53.61/33.81 tff(5655,plain,
% 53.61/33.81 ($false),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5654, 5650, 5646, 5627, 5631, 5636, 5642])).
% 53.61/33.81 tff(5656,plain,(v90(constB23, 0) | v130(constB23, 0) | v119(constB23)), inference(lemma,lemma(discharge,[]))).
% 53.61/33.81 tff(5657,plain,
% 53.61/33.81 (v130(constB23, 0)),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5656, 5626, 5167])).
% 53.61/33.81 tff(5658,plain,
% 53.61/33.81 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB23)) | (~v130(constB23, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB23)) | (~v130(constB23, 0)))),
% 53.61/33.81 inference(rewrite,[status(thm)],[])).
% 53.61/33.81 tff(5659,plain,
% 53.61/33.81 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB23)) | (~v130(constB23, 0)))),
% 53.61/33.81 inference(quant_inst,[status(thm)],[])).
% 53.61/33.81 tff(5660,plain,
% 53.61/33.81 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB23)) | (~v130(constB23, 0))),
% 53.61/33.81 inference(modus_ponens,[status(thm)],[5659, 5658])).
% 53.61/33.81 tff(5661,plain,
% 53.61/33.81 (~v124(constB23)),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5660, 3274, 5657])).
% 53.61/33.81 tff(5662,plain,
% 53.61/33.81 (~v122(constB23)),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5412, 2407, 5657])).
% 53.61/33.81 tff(5663,plain,
% 53.61/33.81 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB23)) | (~v130(constB23, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB23)) | (~v130(constB23, 0)))),
% 53.61/33.81 inference(rewrite,[status(thm)],[])).
% 53.61/33.81 tff(5664,plain,
% 53.61/33.81 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB23)) | (~v130(constB23, 0)))),
% 53.61/33.81 inference(quant_inst,[status(thm)],[])).
% 53.61/33.81 tff(5665,plain,
% 53.61/33.81 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB23)) | (~v130(constB23, 0))),
% 53.61/33.81 inference(modus_ponens,[status(thm)],[5664, 5663])).
% 53.61/33.81 tff(5666,plain,
% 53.61/33.81 (~v120(constB23)),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5665, 1657, 5657])).
% 53.61/33.81 tff(5667,plain,
% 53.61/33.81 (v129(constB24, 2)),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5372, 5578])).
% 53.61/33.81 tff(5668,plain,
% 53.61/33.81 (v127(constB23, 2)),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5154, 5667])).
% 53.61/33.81 tff(5669,plain,
% 53.61/33.81 (v130(constB23, 2)),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5149, 5668])).
% 53.61/33.81 tff(5670,plain,
% 53.61/33.81 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB23) | v120(constB23) | v121(constB23) | v122(constB23) | v123(constB23) | v124(constB23) | (~v130(constB23, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB23) | v120(constB23) | v121(constB23) | v122(constB23) | v123(constB23) | v124(constB23) | (~v130(constB23, 2)))),
% 53.61/33.81 inference(rewrite,[status(thm)],[])).
% 53.61/33.81 tff(5671,plain,
% 53.61/33.81 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB23) | v120(constB23) | v121(constB23) | v122(constB23) | v123(constB23) | v124(constB23) | (~v130(constB23, 2)))),
% 53.61/33.81 inference(quant_inst,[status(thm)],[])).
% 53.61/33.81 tff(5672,plain,
% 53.61/33.81 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB23) | v120(constB23) | v121(constB23) | v122(constB23) | v123(constB23) | v124(constB23) | (~v130(constB23, 2))),
% 53.61/33.81 inference(modus_ponens,[status(thm)],[5671, 5670])).
% 53.61/33.81 tff(5673,plain,
% 53.61/33.81 (v121(constB23)),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5672, 2904, 5669, 5626, 5666, 5662, 5661, 5604])).
% 53.61/33.81 tff(5674,plain,
% 53.61/33.81 ($false),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5141, 1821, 5669, 5673])).
% 53.61/33.81 tff(5675,plain,(v90(constB23, 0) | (~v90(constB24, 2)) | (~v90(constB24, 1)) | v122(constB25) | v120(constB25)), inference(lemma,lemma(discharge,[]))).
% 53.61/33.81 tff(5676,plain,
% 53.61/33.81 (v90(constB23, 0)),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5675, 5108, 5117, 4699, 5072])).
% 53.61/33.81 tff(5677,plain,
% 53.61/33.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB22, 0) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB22, 0) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 0)))),
% 53.61/33.81 inference(rewrite,[status(thm)],[])).
% 53.61/33.81 tff(5678,plain,
% 53.61/33.81 (((~nextState(constB22, constB23)) | v90(constB22, 0) | v100(constB23) | (~v90(constB23, 0))) <=> (v90(constB22, 0) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 0)))),
% 53.61/33.81 inference(rewrite,[status(thm)],[])).
% 53.61/33.81 tff(5679,plain,
% 53.61/33.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB22, constB23)) | v90(constB22, 0) | v100(constB23) | (~v90(constB23, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB22, 0) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 0))))),
% 53.61/33.81 inference(monotonicity,[status(thm)],[5678])).
% 53.61/33.81 tff(5680,plain,
% 53.61/33.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB22, constB23)) | v90(constB22, 0) | v100(constB23) | (~v90(constB23, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB22, 0) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 0)))),
% 53.61/33.81 inference(transitivity,[status(thm)],[5679, 5677])).
% 53.61/33.81 tff(5681,plain,
% 53.61/33.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB22, constB23)) | v90(constB22, 0) | v100(constB23) | (~v90(constB23, 0)))),
% 53.61/33.81 inference(quant_inst,[status(thm)],[])).
% 53.61/33.81 tff(5682,plain,
% 53.61/33.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB22, 0) | (~nextState(constB22, constB23)) | v100(constB23) | (~v90(constB23, 0))),
% 53.61/33.81 inference(modus_ponens,[status(thm)],[5681, 5680])).
% 53.61/33.81 tff(5683,plain,
% 53.61/33.81 (v90(constB22, 0) | v100(constB23) | (~v90(constB23, 0))),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5682, 947, 4439])).
% 53.61/33.81 tff(5684,plain,
% 53.61/33.81 (v90(constB22, 0) | (~v90(constB23, 0))),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5683, 4451])).
% 53.61/33.81 tff(5685,plain,
% 53.61/33.81 (v90(constB22, 0)),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5684, 5676])).
% 53.61/33.81 tff(5686,assumption,(~v124(constB23)), introduced(assumption)).
% 53.61/33.81 tff(5687,plain,
% 53.61/33.81 ((~v90(constB23, 0)) | v90(constB23, 1) | (~v90(constB23, 2))),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[4528, 2663, 5686])).
% 53.61/33.81 tff(5688,plain,
% 53.61/33.81 (v90(constB23, 1)),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5687, 5676, 5430])).
% 53.61/33.81 tff(5689,plain,
% 53.61/33.81 (v90(constB22, 1)),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[4493, 5688])).
% 53.61/33.81 tff(5690,assumption,(v100(constB22)), introduced(assumption)).
% 53.61/33.81 tff(5691,assumption,(v90(constB22, 2)), introduced(assumption)).
% 53.61/33.81 tff(5692,plain,
% 53.61/33.81 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB22, 2)) | v129(constB22, 2) | (~v100(constB22)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB22, 2)) | v129(constB22, 2) | (~v100(constB22)))),
% 53.61/33.81 inference(rewrite,[status(thm)],[])).
% 53.61/33.81 tff(5693,plain,
% 53.61/33.81 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB22, 2)) | v129(constB22, 2) | (~v100(constB22)))),
% 53.61/33.81 inference(quant_inst,[status(thm)],[])).
% 53.61/33.81 tff(5694,plain,
% 53.61/33.81 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB22, 2)) | v129(constB22, 2) | (~v100(constB22))),
% 53.61/33.81 inference(modus_ponens,[status(thm)],[5693, 5692])).
% 53.61/33.81 tff(5695,plain,
% 53.61/33.81 (v129(constB22, 2) | (~v100(constB22))),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5694, 1223, 5691])).
% 53.61/33.81 tff(5696,plain,
% 53.61/33.81 (v129(constB22, 2)),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5695, 5690])).
% 53.61/33.81 tff(5697,plain,
% 53.61/33.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB21, constB22)) | v127(constB21, 2) | (~v129(constB22, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB21, constB22)) | v127(constB21, 2) | (~v129(constB22, 2)))),
% 53.61/33.81 inference(rewrite,[status(thm)],[])).
% 53.61/33.81 tff(5698,plain,
% 53.61/33.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB21, constB22)) | v127(constB21, 2) | (~v129(constB22, 2)))),
% 53.61/33.81 inference(quant_inst,[status(thm)],[])).
% 53.61/33.81 tff(5699,plain,
% 53.61/33.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB21, constB22)) | v127(constB21, 2) | (~v129(constB22, 2))),
% 53.61/33.81 inference(modus_ponens,[status(thm)],[5698, 5697])).
% 53.61/33.81 tff(5700,plain,
% 53.61/33.81 (v127(constB21, 2) | (~v129(constB22, 2))),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5699, 1208, 4380])).
% 53.61/33.81 tff(5701,plain,
% 53.61/33.81 (v127(constB21, 2)),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5700, 5696])).
% 53.61/33.81 tff(5702,plain,
% 53.61/33.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB21, 2)) | v26(constB21) | v130(constB21, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB21, 2)) | v26(constB21) | v130(constB21, 2))),
% 53.61/33.81 inference(rewrite,[status(thm)],[])).
% 53.61/33.81 tff(5703,plain,
% 53.61/33.81 ((v26(constB21) | v130(constB21, 2) | (~v127(constB21, 2))) <=> ((~v127(constB21, 2)) | v26(constB21) | v130(constB21, 2))),
% 53.61/33.81 inference(rewrite,[status(thm)],[])).
% 53.61/33.81 tff(5704,plain,
% 53.61/33.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB21) | v130(constB21, 2) | (~v127(constB21, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB21, 2)) | v26(constB21) | v130(constB21, 2)))),
% 53.61/33.81 inference(monotonicity,[status(thm)],[5703])).
% 53.61/33.81 tff(5705,plain,
% 53.61/33.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB21) | v130(constB21, 2) | (~v127(constB21, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB21, 2)) | v26(constB21) | v130(constB21, 2))),
% 53.61/33.81 inference(transitivity,[status(thm)],[5704, 5702])).
% 53.61/33.81 tff(5706,plain,
% 53.61/33.81 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB21) | v130(constB21, 2) | (~v127(constB21, 2)))),
% 53.61/33.81 inference(quant_inst,[status(thm)],[])).
% 53.61/33.81 tff(5707,plain,
% 53.61/33.81 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB21, 2)) | v26(constB21) | v130(constB21, 2)),
% 53.61/33.81 inference(modus_ponens,[status(thm)],[5706, 5705])).
% 53.61/33.81 tff(5708,plain,
% 53.61/33.81 ((~v127(constB21, 2)) | v130(constB21, 2)),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5707, 1190, 4362])).
% 53.61/33.81 tff(5709,plain,
% 53.61/33.81 (v130(constB21, 2)),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5708, 5701])).
% 53.61/33.81 tff(5710,plain,
% 53.61/33.81 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB21)) | (~v130(constB21, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB21)) | (~v130(constB21, 2)))),
% 53.61/33.81 inference(rewrite,[status(thm)],[])).
% 53.61/33.81 tff(5711,plain,
% 53.61/33.81 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB21)) | (~v130(constB21, 2)))),
% 53.61/33.81 inference(quant_inst,[status(thm)],[])).
% 53.61/33.81 tff(5712,plain,
% 53.61/33.81 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB21)) | (~v130(constB21, 2))),
% 53.61/33.81 inference(modus_ponens,[status(thm)],[5711, 5710])).
% 53.61/33.81 tff(5713,plain,
% 53.61/33.81 (~v119(constB21)),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5712, 1176, 5709])).
% 53.61/33.81 tff(5714,assumption,(v90(constB22, 0)), introduced(assumption)).
% 53.61/33.81 tff(5715,plain,
% 53.61/33.81 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB22, 0)) | v129(constB22, 0) | (~v100(constB22)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB22, 0)) | v129(constB22, 0) | (~v100(constB22)))),
% 53.61/33.81 inference(rewrite,[status(thm)],[])).
% 53.61/33.81 tff(5716,plain,
% 53.61/33.81 (((~v90(constB22, 0)) | (~v100(constB22)) | v129(constB22, 0)) <=> ((~v90(constB22, 0)) | v129(constB22, 0) | (~v100(constB22)))),
% 53.61/33.81 inference(rewrite,[status(thm)],[])).
% 53.61/33.81 tff(5717,plain,
% 53.61/33.81 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB22, 0)) | (~v100(constB22)) | v129(constB22, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB22, 0)) | v129(constB22, 0) | (~v100(constB22))))),
% 53.61/33.81 inference(monotonicity,[status(thm)],[5716])).
% 53.61/33.81 tff(5718,plain,
% 53.61/33.81 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB22, 0)) | (~v100(constB22)) | v129(constB22, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB22, 0)) | v129(constB22, 0) | (~v100(constB22)))),
% 53.61/33.81 inference(transitivity,[status(thm)],[5717, 5715])).
% 53.61/33.81 tff(5719,plain,
% 53.61/33.81 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB22, 0)) | (~v100(constB22)) | v129(constB22, 0))),
% 53.61/33.81 inference(quant_inst,[status(thm)],[])).
% 53.61/33.81 tff(5720,plain,
% 53.61/33.81 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB22, 0)) | v129(constB22, 0) | (~v100(constB22))),
% 53.61/33.81 inference(modus_ponens,[status(thm)],[5719, 5718])).
% 53.61/33.81 tff(5721,plain,
% 53.61/33.81 (v129(constB22, 0) | (~v100(constB22))),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5720, 1704, 5714])).
% 53.61/33.81 tff(5722,plain,
% 53.61/33.81 (v129(constB22, 0)),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5721, 5690])).
% 53.61/33.81 tff(5723,plain,
% 53.61/33.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB21, constB22)) | v127(constB21, 0) | (~v129(constB22, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB21, constB22)) | v127(constB21, 0) | (~v129(constB22, 0)))),
% 53.61/33.81 inference(rewrite,[status(thm)],[])).
% 53.61/33.81 tff(5724,plain,
% 53.61/33.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB21, constB22)) | v127(constB21, 0) | (~v129(constB22, 0)))),
% 53.61/33.81 inference(quant_inst,[status(thm)],[])).
% 53.61/33.81 tff(5725,plain,
% 53.61/33.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB21, constB22)) | v127(constB21, 0) | (~v129(constB22, 0))),
% 53.61/33.81 inference(modus_ponens,[status(thm)],[5724, 5723])).
% 53.61/33.81 tff(5726,plain,
% 53.61/33.81 (v127(constB21, 0) | (~v129(constB22, 0))),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5725, 1689, 4380])).
% 53.61/33.81 tff(5727,plain,
% 53.61/33.81 (v127(constB21, 0)),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5726, 5722])).
% 53.61/33.81 tff(5728,plain,
% 53.61/33.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB21, 0)) | v26(constB21) | v130(constB21, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB21, 0)) | v26(constB21) | v130(constB21, 0))),
% 53.61/33.81 inference(rewrite,[status(thm)],[])).
% 53.61/33.81 tff(5729,plain,
% 53.61/33.81 ((v26(constB21) | v130(constB21, 0) | (~v127(constB21, 0))) <=> ((~v127(constB21, 0)) | v26(constB21) | v130(constB21, 0))),
% 53.61/33.81 inference(rewrite,[status(thm)],[])).
% 53.61/33.81 tff(5730,plain,
% 53.61/33.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB21) | v130(constB21, 0) | (~v127(constB21, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB21, 0)) | v26(constB21) | v130(constB21, 0)))),
% 53.61/33.81 inference(monotonicity,[status(thm)],[5729])).
% 53.61/33.81 tff(5731,plain,
% 53.61/33.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB21) | v130(constB21, 0) | (~v127(constB21, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB21, 0)) | v26(constB21) | v130(constB21, 0))),
% 53.61/33.81 inference(transitivity,[status(thm)],[5730, 5728])).
% 53.61/33.81 tff(5732,plain,
% 53.61/33.81 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB21) | v130(constB21, 0) | (~v127(constB21, 0)))),
% 53.61/33.81 inference(quant_inst,[status(thm)],[])).
% 53.61/33.81 tff(5733,plain,
% 53.61/33.81 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB21, 0)) | v26(constB21) | v130(constB21, 0)),
% 53.61/33.81 inference(modus_ponens,[status(thm)],[5732, 5731])).
% 53.61/33.81 tff(5734,plain,
% 53.61/33.81 ((~v127(constB21, 0)) | v130(constB21, 0)),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5733, 1671, 4362])).
% 53.61/33.81 tff(5735,plain,
% 53.61/33.81 (v130(constB21, 0)),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5734, 5727])).
% 53.61/33.81 tff(5736,plain,
% 53.61/33.81 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB21)) | (~v130(constB21, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB21)) | (~v130(constB21, 0)))),
% 53.61/33.81 inference(rewrite,[status(thm)],[])).
% 53.61/33.81 tff(5737,plain,
% 53.61/33.81 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB21)) | (~v130(constB21, 0)))),
% 53.61/33.81 inference(quant_inst,[status(thm)],[])).
% 53.61/33.81 tff(5738,plain,
% 53.61/33.81 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB21)) | (~v130(constB21, 0))),
% 53.61/33.81 inference(modus_ponens,[status(thm)],[5737, 5736])).
% 53.61/33.81 tff(5739,plain,
% 53.61/33.81 (~v122(constB21)),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5738, 2407, 5735])).
% 53.61/33.81 tff(5740,assumption,(v90(constB22, 1)), introduced(assumption)).
% 53.61/33.81 tff(5741,plain,
% 53.61/33.81 (v129(constB22, 1) | (~v100(constB22))),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[4483, 1309, 5740])).
% 53.61/33.81 tff(5742,plain,
% 53.61/33.81 (v129(constB22, 1)),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5741, 5690])).
% 53.61/33.81 tff(5743,plain,
% 53.61/33.81 (v127(constB21, 1)),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[4476, 5742])).
% 53.61/33.81 tff(5744,plain,
% 53.61/33.81 (v130(constB21, 1)),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[4471, 5743])).
% 53.61/33.81 tff(5745,plain,
% 53.61/33.81 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB21)) | (~v130(constB21, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB21)) | (~v130(constB21, 0)))),
% 53.61/33.81 inference(rewrite,[status(thm)],[])).
% 53.61/33.81 tff(5746,plain,
% 53.61/33.81 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB21)) | (~v130(constB21, 0)))),
% 53.61/33.81 inference(quant_inst,[status(thm)],[])).
% 53.61/33.81 tff(5747,plain,
% 53.61/33.81 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB21)) | (~v130(constB21, 0))),
% 53.61/33.81 inference(modus_ponens,[status(thm)],[5746, 5745])).
% 53.61/33.81 tff(5748,plain,
% 53.61/33.81 (~v120(constB21)),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5747, 1657, 5735])).
% 53.61/33.81 tff(5749,plain,
% 53.61/33.81 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB21)) | (~v130(constB21, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB21)) | (~v130(constB21, 2)))),
% 53.61/33.81 inference(rewrite,[status(thm)],[])).
% 53.61/33.81 tff(5750,plain,
% 53.61/33.81 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB21)) | (~v130(constB21, 2)))),
% 53.61/33.81 inference(quant_inst,[status(thm)],[])).
% 53.61/33.81 tff(5751,plain,
% 53.61/33.81 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB21)) | (~v130(constB21, 2))),
% 53.61/33.81 inference(modus_ponens,[status(thm)],[5750, 5749])).
% 53.61/33.81 tff(5752,plain,
% 53.61/33.81 (~v121(constB21)),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5751, 1821, 5709])).
% 53.61/33.81 tff(5753,plain,
% 53.61/33.81 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB21)) | (~v130(constB21, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB21)) | (~v130(constB21, 0)))),
% 53.61/33.81 inference(rewrite,[status(thm)],[])).
% 53.61/33.81 tff(5754,plain,
% 53.61/33.81 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB21)) | (~v130(constB21, 0)))),
% 53.61/33.81 inference(quant_inst,[status(thm)],[])).
% 53.61/33.81 tff(5755,plain,
% 53.61/33.81 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB21)) | (~v130(constB21, 0))),
% 53.61/33.81 inference(modus_ponens,[status(thm)],[5754, 5753])).
% 53.61/33.81 tff(5756,plain,
% 53.61/33.81 (~v124(constB21)),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5755, 3274, 5735])).
% 53.61/33.81 tff(5757,plain,
% 53.61/33.81 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB21) | v120(constB21) | v121(constB21) | v122(constB21) | v123(constB21) | v124(constB21) | (~v130(constB21, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB21) | v120(constB21) | v121(constB21) | v122(constB21) | v123(constB21) | v124(constB21) | (~v130(constB21, 1)))),
% 53.61/33.81 inference(rewrite,[status(thm)],[])).
% 53.61/33.81 tff(5758,plain,
% 53.61/33.81 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB21) | v120(constB21) | v121(constB21) | v122(constB21) | v123(constB21) | v124(constB21) | (~v130(constB21, 1)))),
% 53.61/33.81 inference(quant_inst,[status(thm)],[])).
% 53.61/33.81 tff(5759,plain,
% 53.61/33.81 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB21) | v120(constB21) | v121(constB21) | v122(constB21) | v123(constB21) | v124(constB21) | (~v130(constB21, 1))),
% 53.61/33.81 inference(modus_ponens,[status(thm)],[5758, 5757])).
% 53.61/33.81 tff(5760,plain,
% 53.61/33.81 (v123(constB21)),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5759, 3309, 5756, 5752, 5748, 5744, 5739, 5713])).
% 53.61/33.81 tff(5761,plain,
% 53.61/33.81 ($false),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[4463, 2581, 5744, 5760])).
% 53.61/33.81 tff(5762,plain,((~v100(constB22)) | (~v90(constB22, 1)) | (~v90(constB22, 2)) | (~v90(constB22, 0))), inference(lemma,lemma(discharge,[]))).
% 53.61/33.81 tff(5763,plain,
% 53.61/33.81 (~v100(constB22)),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5762, 5689, 5439, 5685])).
% 53.61/33.81 tff(5764,plain,
% 53.61/33.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB21, 2) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB21, 2) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, 2)))),
% 53.61/33.81 inference(rewrite,[status(thm)],[])).
% 53.61/33.81 tff(5765,plain,
% 53.61/33.81 (((~nextState(constB21, constB22)) | v90(constB21, 2) | v100(constB22) | (~v90(constB22, 2))) <=> (v90(constB21, 2) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, 2)))),
% 53.61/33.81 inference(rewrite,[status(thm)],[])).
% 53.61/33.81 tff(5766,plain,
% 53.61/33.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB21, constB22)) | v90(constB21, 2) | v100(constB22) | (~v90(constB22, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB21, 2) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, 2))))),
% 53.61/33.81 inference(monotonicity,[status(thm)],[5765])).
% 53.61/33.81 tff(5767,plain,
% 53.61/33.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB21, constB22)) | v90(constB21, 2) | v100(constB22) | (~v90(constB22, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB21, 2) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, 2)))),
% 53.61/33.81 inference(transitivity,[status(thm)],[5766, 5764])).
% 53.61/33.81 tff(5768,plain,
% 53.61/33.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB21, constB22)) | v90(constB21, 2) | v100(constB22) | (~v90(constB22, 2)))),
% 53.61/33.81 inference(quant_inst,[status(thm)],[])).
% 53.61/33.81 tff(5769,plain,
% 53.61/33.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB21, 2) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, 2))),
% 53.61/33.81 inference(modus_ponens,[status(thm)],[5768, 5767])).
% 53.61/33.81 tff(5770,plain,
% 53.61/33.81 (v90(constB21, 2) | v100(constB22) | (~v90(constB22, 2))),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5769, 905, 4380])).
% 53.61/33.81 tff(5771,plain,
% 53.61/33.81 (v90(constB21, 2)),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5770, 5763, 5439])).
% 53.61/33.81 tff(5772,plain,
% 53.61/33.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB20, 2) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB20, 2) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, 2)))),
% 53.61/33.81 inference(rewrite,[status(thm)],[])).
% 53.61/33.81 tff(5773,plain,
% 53.61/33.81 (((~nextState(constB20, constB21)) | v90(constB20, 2) | v100(constB21) | (~v90(constB21, 2))) <=> (v90(constB20, 2) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, 2)))),
% 53.61/33.81 inference(rewrite,[status(thm)],[])).
% 53.61/33.81 tff(5774,plain,
% 53.61/33.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB20, constB21)) | v90(constB20, 2) | v100(constB21) | (~v90(constB21, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB20, 2) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, 2))))),
% 53.61/33.81 inference(monotonicity,[status(thm)],[5773])).
% 53.61/33.81 tff(5775,plain,
% 53.61/33.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB20, constB21)) | v90(constB20, 2) | v100(constB21) | (~v90(constB21, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB20, 2) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, 2)))),
% 53.61/33.81 inference(transitivity,[status(thm)],[5774, 5772])).
% 53.61/33.81 tff(5776,plain,
% 53.61/33.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB20, constB21)) | v90(constB20, 2) | v100(constB21) | (~v90(constB21, 2)))),
% 53.61/33.81 inference(quant_inst,[status(thm)],[])).
% 53.61/33.81 tff(5777,plain,
% 53.61/33.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB20, 2) | (~nextState(constB20, constB21)) | v100(constB21) | (~v90(constB21, 2))),
% 53.61/33.81 inference(modus_ponens,[status(thm)],[5776, 5775])).
% 53.61/33.81 tff(5778,plain,
% 53.61/33.81 (v90(constB20, 2) | v100(constB21) | (~v90(constB21, 2))),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5777, 905, 4244])).
% 53.61/33.81 tff(5779,plain,
% 53.61/33.81 (v90(constB20, 2) | (~v90(constB21, 2))),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5778, 4256])).
% 53.61/33.81 tff(5780,plain,
% 53.61/33.81 (v90(constB20, 2)),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5779, 5771])).
% 53.61/33.81 tff(5781,plain,
% 53.61/33.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB21, 0) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB21, 0) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, 0)))),
% 53.61/33.81 inference(rewrite,[status(thm)],[])).
% 53.61/33.81 tff(5782,plain,
% 53.61/33.81 (((~nextState(constB21, constB22)) | v90(constB21, 0) | v100(constB22) | (~v90(constB22, 0))) <=> (v90(constB21, 0) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, 0)))),
% 53.61/33.81 inference(rewrite,[status(thm)],[])).
% 53.61/33.81 tff(5783,plain,
% 53.61/33.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB21, constB22)) | v90(constB21, 0) | v100(constB22) | (~v90(constB22, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB21, 0) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, 0))))),
% 53.61/33.81 inference(monotonicity,[status(thm)],[5782])).
% 53.61/33.81 tff(5784,plain,
% 53.61/33.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB21, constB22)) | v90(constB21, 0) | v100(constB22) | (~v90(constB22, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB21, 0) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, 0)))),
% 53.61/33.81 inference(transitivity,[status(thm)],[5783, 5781])).
% 53.61/33.81 tff(5785,plain,
% 53.61/33.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB21, constB22)) | v90(constB21, 0) | v100(constB22) | (~v90(constB22, 0)))),
% 53.61/33.81 inference(quant_inst,[status(thm)],[])).
% 53.61/33.81 tff(5786,plain,
% 53.61/33.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB21, 0) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, 0))),
% 53.61/33.81 inference(modus_ponens,[status(thm)],[5785, 5784])).
% 53.61/33.81 tff(5787,plain,
% 53.61/33.81 (v90(constB21, 0) | v100(constB22) | (~v90(constB22, 0))),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5786, 947, 4380])).
% 53.61/33.81 tff(5788,plain,
% 53.61/33.81 (v90(constB21, 0)),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5787, 5763, 5685])).
% 53.61/33.81 tff(5789,plain,
% 53.61/33.81 (v90(constB20, 0)),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[4332, 5788])).
% 53.61/33.81 tff(5790,plain,
% 53.61/33.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB21, 1) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB21, 1) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, 1)))),
% 53.61/33.81 inference(rewrite,[status(thm)],[])).
% 53.61/33.81 tff(5791,plain,
% 53.61/33.81 (((~nextState(constB21, constB22)) | v90(constB21, 1) | v100(constB22) | (~v90(constB22, 1))) <=> (v90(constB21, 1) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, 1)))),
% 53.61/33.81 inference(rewrite,[status(thm)],[])).
% 53.61/33.81 tff(5792,plain,
% 53.61/33.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB21, constB22)) | v90(constB21, 1) | v100(constB22) | (~v90(constB22, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB21, 1) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, 1))))),
% 53.61/33.81 inference(monotonicity,[status(thm)],[5791])).
% 53.61/33.81 tff(5793,plain,
% 53.61/33.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB21, constB22)) | v90(constB21, 1) | v100(constB22) | (~v90(constB22, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB21, 1) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, 1)))),
% 53.61/33.81 inference(transitivity,[status(thm)],[5792, 5790])).
% 53.61/33.81 tff(5794,plain,
% 53.61/33.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB21, constB22)) | v90(constB21, 1) | v100(constB22) | (~v90(constB22, 1)))),
% 53.61/33.81 inference(quant_inst,[status(thm)],[])).
% 53.61/33.81 tff(5795,plain,
% 53.61/33.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB21, 1) | (~nextState(constB21, constB22)) | v100(constB22) | (~v90(constB22, 1))),
% 53.61/33.81 inference(modus_ponens,[status(thm)],[5794, 5793])).
% 53.61/33.81 tff(5796,plain,
% 53.61/33.81 (v90(constB21, 1) | v100(constB22) | (~v90(constB22, 1))),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5795, 926, 4380])).
% 53.61/33.81 tff(5797,plain,
% 53.61/33.81 (v90(constB21, 1)),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5796, 5763, 5689])).
% 53.61/33.81 tff(5798,plain,
% 53.61/33.81 (v90(constB20, 1)),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[4298, 5797])).
% 53.61/33.81 tff(5799,assumption,(~v129(constB20, 0)), introduced(assumption)).
% 53.61/33.81 tff(5800,assumption,(v90(constB20, 0)), introduced(assumption)).
% 53.61/33.81 tff(5801,plain,
% 53.61/33.81 (v129(constB20, 0) | (~v100(constB20))),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[4322, 1704, 5800])).
% 53.61/33.81 tff(5802,plain,
% 53.61/33.81 (~v100(constB20)),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5801, 5799])).
% 53.61/33.81 tff(5803,plain,
% 53.61/33.81 (~v110(constB20)),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[4215, 5802])).
% 53.61/33.81 tff(5804,plain,
% 53.61/33.81 (~v108(constB19)),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[4192, 5803])).
% 53.61/33.81 tff(5805,plain,
% 53.61/33.81 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB19) | (~v26(constB19)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB19) | (~v26(constB19)))),
% 53.61/33.81 inference(rewrite,[status(thm)],[])).
% 53.61/33.81 tff(5806,plain,
% 53.61/33.81 (((~v26(constB19)) | v108(constB19)) <=> (v108(constB19) | (~v26(constB19)))),
% 53.61/33.81 inference(rewrite,[status(thm)],[])).
% 53.61/33.81 tff(5807,plain,
% 53.61/33.81 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB19)) | v108(constB19))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB19) | (~v26(constB19))))),
% 53.61/33.81 inference(monotonicity,[status(thm)],[5806])).
% 53.61/33.81 tff(5808,plain,
% 53.61/33.81 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB19)) | v108(constB19))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB19) | (~v26(constB19)))),
% 53.61/33.81 inference(transitivity,[status(thm)],[5807, 5805])).
% 53.61/33.81 tff(5809,plain,
% 53.61/33.81 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB19)) | v108(constB19))),
% 53.61/33.81 inference(quant_inst,[status(thm)],[])).
% 53.61/33.81 tff(5810,plain,
% 53.61/33.81 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB19) | (~v26(constB19))),
% 53.61/33.81 inference(modus_ponens,[status(thm)],[5809, 5808])).
% 53.61/33.81 tff(5811,plain,
% 53.61/33.81 (~v26(constB19)),
% 53.61/33.81 inference(unit_resolution,[status(thm)],[5810, 2050, 5804])).
% 53.61/33.81 tff(5812,plain,
% 53.61/33.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB19, constB20)) | (~v127(constB19, 0)) | v129(constB20, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB19, constB20)) | (~v127(constB19, 0)) | v129(constB20, 0))),
% 53.61/33.81 inference(rewrite,[status(thm)],[])).
% 53.61/33.81 tff(5813,plain,
% 53.61/33.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB19, constB20)) | (~v127(constB19, 0)) | v129(constB20, 0))),
% 53.61/33.81 inference(quant_inst,[status(thm)],[])).
% 53.61/33.81 tff(5814,plain,
% 53.61/33.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB19, constB20)) | (~v127(constB19, 0)) | v129(constB20, 0)),
% 53.61/33.81 inference(modus_ponens,[status(thm)],[5813, 5812])).
% 53.61/33.81 tff(5815,plain,
% 53.61/33.81 ((~v127(constB19, 0)) | v129(constB20, 0)),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[5814, 1362, 4185])).
% 53.61/33.82 tff(5816,plain,
% 53.61/33.82 (~v127(constB19, 0)),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[5815, 5799])).
% 53.61/33.82 tff(5817,plain,
% 53.61/33.82 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB19) | (~v130(constB19, 0)) | v127(constB19, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB19) | (~v130(constB19, 0)) | v127(constB19, 0))),
% 53.61/33.82 inference(rewrite,[status(thm)],[])).
% 53.61/33.82 tff(5818,plain,
% 53.61/33.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB19) | (~v130(constB19, 0)) | v127(constB19, 0))),
% 53.61/33.82 inference(quant_inst,[status(thm)],[])).
% 53.61/33.82 tff(5819,plain,
% 53.61/33.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB19) | (~v130(constB19, 0)) | v127(constB19, 0)),
% 53.61/33.82 inference(modus_ponens,[status(thm)],[5818, 5817])).
% 53.61/33.82 tff(5820,plain,
% 53.61/33.82 (~v130(constB19, 0)),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[5819, 1347, 5816, 5811])).
% 53.61/33.82 tff(5821,assumption,(v90(constB20, 2)), introduced(assumption)).
% 53.61/33.82 tff(5822,plain,
% 53.61/33.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB19, 2) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB19, 2) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, 2)))),
% 53.61/33.82 inference(rewrite,[status(thm)],[])).
% 53.61/33.82 tff(5823,plain,
% 53.61/33.82 (((~nextState(constB19, constB20)) | v90(constB19, 2) | v100(constB20) | (~v90(constB20, 2))) <=> (v90(constB19, 2) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, 2)))),
% 53.61/33.82 inference(rewrite,[status(thm)],[])).
% 53.61/33.82 tff(5824,plain,
% 53.61/33.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB19, constB20)) | v90(constB19, 2) | v100(constB20) | (~v90(constB20, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB19, 2) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, 2))))),
% 53.61/33.82 inference(monotonicity,[status(thm)],[5823])).
% 53.61/33.82 tff(5825,plain,
% 53.61/33.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB19, constB20)) | v90(constB19, 2) | v100(constB20) | (~v90(constB20, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB19, 2) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, 2)))),
% 53.61/33.82 inference(transitivity,[status(thm)],[5824, 5822])).
% 53.61/33.82 tff(5826,plain,
% 53.61/33.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB19, constB20)) | v90(constB19, 2) | v100(constB20) | (~v90(constB20, 2)))),
% 53.61/33.82 inference(quant_inst,[status(thm)],[])).
% 53.61/33.82 tff(5827,plain,
% 53.61/33.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB19, 2) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, 2))),
% 53.61/33.82 inference(modus_ponens,[status(thm)],[5826, 5825])).
% 53.61/33.82 tff(5828,plain,
% 53.61/33.82 (v90(constB19, 2) | v100(constB20) | (~v90(constB20, 2))),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[5827, 905, 4185])).
% 53.61/33.82 tff(5829,plain,
% 53.61/33.82 (v90(constB19, 2)),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[5828, 5802, 5821])).
% 53.61/33.82 tff(5830,plain,
% 53.61/33.82 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB19)) | (~v90(constB19, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB19)) | (~v90(constB19, 2)))),
% 53.61/33.82 inference(rewrite,[status(thm)],[])).
% 53.61/33.82 tff(5831,plain,
% 53.61/33.82 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB19)) | (~v90(constB19, 2)))),
% 53.61/33.82 inference(quant_inst,[status(thm)],[])).
% 53.61/33.82 tff(5832,plain,
% 53.61/33.82 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB19)) | (~v90(constB19, 2))),
% 53.61/33.82 inference(modus_ponens,[status(thm)],[5831, 5830])).
% 53.61/33.82 tff(5833,plain,
% 53.61/33.82 (~v122(constB19)),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[5832, 2797, 5829])).
% 53.61/33.82 tff(5834,assumption,(v90(constB20, 1)), introduced(assumption)).
% 53.61/33.82 tff(5835,plain,
% 53.61/33.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB19, 1) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB19, 1) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, 1)))),
% 53.61/33.82 inference(rewrite,[status(thm)],[])).
% 53.61/33.82 tff(5836,plain,
% 53.61/33.82 (((~nextState(constB19, constB20)) | v90(constB19, 1) | v100(constB20) | (~v90(constB20, 1))) <=> (v90(constB19, 1) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, 1)))),
% 53.61/33.82 inference(rewrite,[status(thm)],[])).
% 53.61/33.82 tff(5837,plain,
% 53.61/33.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB19, constB20)) | v90(constB19, 1) | v100(constB20) | (~v90(constB20, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB19, 1) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, 1))))),
% 53.61/33.82 inference(monotonicity,[status(thm)],[5836])).
% 53.61/33.82 tff(5838,plain,
% 53.61/33.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB19, constB20)) | v90(constB19, 1) | v100(constB20) | (~v90(constB20, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB19, 1) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, 1)))),
% 53.61/33.82 inference(transitivity,[status(thm)],[5837, 5835])).
% 53.61/33.82 tff(5839,plain,
% 53.61/33.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB19, constB20)) | v90(constB19, 1) | v100(constB20) | (~v90(constB20, 1)))),
% 53.61/33.82 inference(quant_inst,[status(thm)],[])).
% 53.61/33.82 tff(5840,plain,
% 53.61/33.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB19, 1) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, 1))),
% 53.61/33.82 inference(modus_ponens,[status(thm)],[5839, 5838])).
% 53.61/33.82 tff(5841,plain,
% 53.61/33.82 (v90(constB19, 1) | v100(constB20) | (~v90(constB20, 1))),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[5840, 926, 4185])).
% 53.61/33.82 tff(5842,plain,
% 53.61/33.82 (v90(constB19, 1)),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[5841, 5802, 5834])).
% 53.61/33.82 tff(5843,plain,
% 53.61/33.82 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB19)) | (~v90(constB19, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB19)) | (~v90(constB19, 1)))),
% 53.61/33.82 inference(rewrite,[status(thm)],[])).
% 53.61/33.82 tff(5844,plain,
% 53.61/33.82 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB19)) | (~v90(constB19, 1)))),
% 53.61/33.82 inference(quant_inst,[status(thm)],[])).
% 53.61/33.82 tff(5845,plain,
% 53.61/33.82 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB19)) | (~v90(constB19, 1))),
% 53.61/33.82 inference(modus_ponens,[status(thm)],[5844, 5843])).
% 53.61/33.82 tff(5846,plain,
% 53.61/33.82 (~v120(constB19)),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[5845, 2846, 5842])).
% 53.61/33.82 tff(5847,plain,
% 53.61/33.82 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB19)) | (~v90(constB19, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB19)) | (~v90(constB19, 1)))),
% 53.61/33.82 inference(rewrite,[status(thm)],[])).
% 53.61/33.82 tff(5848,plain,
% 53.61/33.82 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB19)) | (~v90(constB19, 1)))),
% 53.61/33.82 inference(quant_inst,[status(thm)],[])).
% 53.61/33.82 tff(5849,plain,
% 53.61/33.82 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB19)) | (~v90(constB19, 1))),
% 53.61/33.82 inference(modus_ponens,[status(thm)],[5848, 5847])).
% 53.61/33.82 tff(5850,plain,
% 53.61/33.82 (~v124(constB19)),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[5849, 2890, 5842])).
% 53.61/33.82 tff(5851,plain,
% 53.61/33.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB19, 0) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB19, 0) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, 0)))),
% 53.61/33.82 inference(rewrite,[status(thm)],[])).
% 53.61/33.82 tff(5852,plain,
% 53.61/33.82 (((~nextState(constB19, constB20)) | v90(constB19, 0) | v100(constB20) | (~v90(constB20, 0))) <=> (v90(constB19, 0) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, 0)))),
% 53.61/33.82 inference(rewrite,[status(thm)],[])).
% 53.61/33.82 tff(5853,plain,
% 53.61/33.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB19, constB20)) | v90(constB19, 0) | v100(constB20) | (~v90(constB20, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB19, 0) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, 0))))),
% 53.61/33.82 inference(monotonicity,[status(thm)],[5852])).
% 53.61/33.82 tff(5854,plain,
% 53.61/33.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB19, constB20)) | v90(constB19, 0) | v100(constB20) | (~v90(constB20, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB19, 0) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, 0)))),
% 53.61/33.82 inference(transitivity,[status(thm)],[5853, 5851])).
% 53.61/33.82 tff(5855,plain,
% 53.61/33.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB19, constB20)) | v90(constB19, 0) | v100(constB20) | (~v90(constB20, 0)))),
% 53.61/33.82 inference(quant_inst,[status(thm)],[])).
% 53.61/33.82 tff(5856,plain,
% 53.61/33.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB19, 0) | (~nextState(constB19, constB20)) | v100(constB20) | (~v90(constB20, 0))),
% 53.61/33.82 inference(modus_ponens,[status(thm)],[5855, 5854])).
% 53.61/33.82 tff(5857,plain,
% 53.61/33.82 (v90(constB19, 0) | v100(constB20) | (~v90(constB20, 0))),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[5856, 947, 4185])).
% 53.61/33.82 tff(5858,plain,
% 53.61/33.82 (v90(constB19, 0)),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[5857, 5802, 5800])).
% 53.61/33.82 tff(5859,plain,
% 53.61/33.82 (^[VarCurr: state_type] : refl(((~v119(VarCurr)) | (~v90(VarCurr, 0))) <=> ((~v119(VarCurr)) | (~v90(VarCurr, 0))))),
% 53.61/33.82 inference(bind,[status(th)],[])).
% 53.61/33.82 tff(5860,plain,
% 53.61/33.82 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))),
% 53.61/33.82 inference(quant_intro,[status(thm)],[5859])).
% 53.61/33.82 tff(5861,plain,
% 53.61/33.82 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))),
% 53.61/33.82 inference(rewrite,[status(thm)],[])).
% 53.61/33.82 tff(5862,axiom,(![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_4')).
% 53.61/33.82 tff(5863,plain,
% 53.61/33.82 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))),
% 53.61/33.82 inference(modus_ponens,[status(thm)],[5862, 5861])).
% 53.61/33.82 tff(5864,plain,(
% 53.61/33.82 ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))),
% 53.61/33.82 inference(skolemize,[status(sab)],[5863])).
% 53.61/33.82 tff(5865,plain,
% 53.61/33.82 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))),
% 53.61/33.82 inference(modus_ponens,[status(thm)],[5864, 5860])).
% 53.61/33.82 tff(5866,plain,
% 53.61/33.82 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v119(constB19)) | (~v90(constB19, 0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | (~v119(constB19)) | (~v90(constB19, 0)))),
% 53.61/33.82 inference(rewrite,[status(thm)],[])).
% 53.61/33.82 tff(5867,plain,
% 53.61/33.82 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v119(constB19)) | (~v90(constB19, 0)))),
% 53.61/33.82 inference(quant_inst,[status(thm)],[])).
% 53.61/33.82 tff(5868,plain,
% 53.61/33.82 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | (~v119(constB19)) | (~v90(constB19, 0))),
% 53.61/33.82 inference(modus_ponens,[status(thm)],[5867, 5866])).
% 53.61/33.82 tff(5869,plain,
% 53.61/33.82 (~v119(constB19)),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[5868, 5865, 5858])).
% 53.61/33.82 tff(5870,plain,
% 53.61/33.82 (^[VarCurr: state_type] : refl(((~v121(VarCurr)) | (~v90(VarCurr, 0))) <=> ((~v121(VarCurr)) | (~v90(VarCurr, 0))))),
% 53.61/33.82 inference(bind,[status(th)],[])).
% 53.61/33.82 tff(5871,plain,
% 53.61/33.82 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))),
% 53.61/33.82 inference(quant_intro,[status(thm)],[5870])).
% 53.61/33.82 tff(5872,plain,
% 53.61/33.82 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))),
% 53.61/33.82 inference(rewrite,[status(thm)],[])).
% 53.61/33.82 tff(5873,axiom,(![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_4')).
% 53.61/33.82 tff(5874,plain,
% 53.61/33.82 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))),
% 53.61/33.82 inference(modus_ponens,[status(thm)],[5873, 5872])).
% 53.61/33.82 tff(5875,plain,(
% 53.61/33.82 ![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))),
% 53.61/33.82 inference(skolemize,[status(sab)],[5874])).
% 53.61/33.82 tff(5876,plain,
% 53.61/33.82 (![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))),
% 53.61/33.82 inference(modus_ponens,[status(thm)],[5875, 5871])).
% 53.61/33.82 tff(5877,plain,
% 53.61/33.82 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v121(constB19)) | (~v90(constB19, 0)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | (~v121(constB19)) | (~v90(constB19, 0)))),
% 53.61/33.82 inference(rewrite,[status(thm)],[])).
% 53.61/33.82 tff(5878,plain,
% 53.61/33.82 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v121(constB19)) | (~v90(constB19, 0)))),
% 53.61/33.82 inference(quant_inst,[status(thm)],[])).
% 53.61/33.82 tff(5879,plain,
% 53.61/33.82 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | (~v121(constB19)) | (~v90(constB19, 0))),
% 53.61/33.82 inference(modus_ponens,[status(thm)],[5878, 5877])).
% 53.61/33.82 tff(5880,plain,
% 53.61/33.82 (~v121(constB19)),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[5879, 5876, 5858])).
% 53.61/33.82 tff(5881,plain,
% 53.61/33.82 (^[VarCurr: state_type] : refl(((~v123(VarCurr)) | (~v90(VarCurr, 0))) <=> ((~v123(VarCurr)) | (~v90(VarCurr, 0))))),
% 53.61/33.82 inference(bind,[status(th)],[])).
% 53.61/33.82 tff(5882,plain,
% 53.61/33.82 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))),
% 53.61/33.82 inference(quant_intro,[status(thm)],[5881])).
% 53.61/33.82 tff(5883,plain,
% 53.61/33.82 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))),
% 53.61/33.82 inference(rewrite,[status(thm)],[])).
% 53.61/33.82 tff(5884,axiom,(![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_6_1_1_4')).
% 53.61/33.82 tff(5885,plain,
% 53.61/33.82 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))),
% 53.61/33.82 inference(modus_ponens,[status(thm)],[5884, 5883])).
% 53.61/33.82 tff(5886,plain,(
% 53.61/33.82 ![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))),
% 53.61/33.82 inference(skolemize,[status(sab)],[5885])).
% 53.61/33.82 tff(5887,plain,
% 53.61/33.82 (![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))),
% 53.61/33.82 inference(modus_ponens,[status(thm)],[5886, 5882])).
% 53.61/33.82 tff(5888,plain,
% 53.61/33.82 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v123(constB19)) | (~v90(constB19, 0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | (~v123(constB19)) | (~v90(constB19, 0)))),
% 53.61/33.82 inference(rewrite,[status(thm)],[])).
% 53.61/33.82 tff(5889,plain,
% 53.61/33.82 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v123(constB19)) | (~v90(constB19, 0)))),
% 53.61/33.82 inference(quant_inst,[status(thm)],[])).
% 53.61/33.82 tff(5890,plain,
% 53.61/33.82 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | (~v123(constB19)) | (~v90(constB19, 0))),
% 53.61/33.82 inference(modus_ponens,[status(thm)],[5889, 5888])).
% 53.61/33.82 tff(5891,plain,
% 53.61/33.82 (~v123(constB19)),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[5890, 5887, 5858])).
% 53.61/33.82 tff(5892,plain,
% 53.61/33.82 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB19) | v120(constB19) | v121(constB19) | v122(constB19) | v123(constB19) | v124(constB19) | v130(constB19, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB19) | v120(constB19) | v121(constB19) | v122(constB19) | v123(constB19) | v124(constB19) | v130(constB19, 0))),
% 53.61/33.82 inference(rewrite,[status(thm)],[])).
% 53.61/33.82 tff(5893,plain,
% 53.61/33.82 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB19) | v120(constB19) | v121(constB19) | v122(constB19) | v123(constB19) | v124(constB19) | v130(constB19, 0))),
% 53.61/33.82 inference(quant_inst,[status(thm)],[])).
% 53.61/33.82 tff(5894,plain,
% 53.61/33.82 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB19) | v120(constB19) | v121(constB19) | v122(constB19) | v123(constB19) | v124(constB19) | v130(constB19, 0)),
% 53.61/33.82 inference(modus_ponens,[status(thm)],[5893, 5892])).
% 53.61/33.82 tff(5895,plain,
% 53.61/33.82 ($false),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[5894, 3413, 5891, 5880, 5869, 5850, 5846, 5833, 5820])).
% 53.61/33.82 tff(5896,plain,(v129(constB20, 0) | (~v90(constB20, 2)) | (~v90(constB20, 1)) | (~v90(constB20, 0))), inference(lemma,lemma(discharge,[]))).
% 53.61/33.82 tff(5897,plain,
% 53.61/33.82 (v129(constB20, 0)),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[5896, 5780, 5798, 5789])).
% 53.61/33.82 tff(5898,plain,
% 53.61/33.82 (v127(constB19, 0)),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[4315, 5897])).
% 53.61/33.82 tff(5899,plain,
% 53.61/33.82 (v130(constB19, 0)),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[4310, 5898])).
% 53.61/33.82 tff(5900,plain,
% 53.61/33.82 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB19)) | (~v130(constB19, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB19)) | (~v130(constB19, 0)))),
% 53.61/33.82 inference(rewrite,[status(thm)],[])).
% 53.61/33.82 tff(5901,plain,
% 53.61/33.82 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB19)) | (~v130(constB19, 0)))),
% 53.61/33.82 inference(quant_inst,[status(thm)],[])).
% 53.61/33.82 tff(5902,plain,
% 53.61/33.82 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB19)) | (~v130(constB19, 0))),
% 53.61/33.82 inference(modus_ponens,[status(thm)],[5901, 5900])).
% 53.61/33.82 tff(5903,plain,
% 53.61/33.82 (~v124(constB19)),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[5902, 3274, 5899])).
% 53.61/33.82 tff(5904,plain,
% 53.61/33.82 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB19)) | (~v130(constB19, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB19)) | (~v130(constB19, 0)))),
% 53.61/33.82 inference(rewrite,[status(thm)],[])).
% 53.61/33.82 tff(5905,plain,
% 53.61/33.82 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB19)) | (~v130(constB19, 0)))),
% 53.61/33.82 inference(quant_inst,[status(thm)],[])).
% 53.61/33.82 tff(5906,plain,
% 53.61/33.82 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB19)) | (~v130(constB19, 0))),
% 53.61/33.82 inference(modus_ponens,[status(thm)],[5905, 5904])).
% 53.61/33.82 tff(5907,plain,
% 53.61/33.82 (~v120(constB19)),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[5906, 1657, 5899])).
% 53.61/33.82 tff(5908,plain,
% 53.61/33.82 (~v122(constB19)),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[4302, 2407, 5899])).
% 53.61/33.82 tff(5909,assumption,(v100(constB20)), introduced(assumption)).
% 53.61/33.82 tff(5910,plain,
% 53.61/33.82 (v129(constB20, 1) | (~v100(constB20))),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[4288, 1309, 5834])).
% 53.61/33.82 tff(5911,plain,
% 53.61/33.82 (v129(constB20, 1)),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[5910, 5909])).
% 53.61/33.82 tff(5912,plain,
% 53.61/33.82 (v127(constB19, 1)),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[4281, 5911])).
% 53.61/33.82 tff(5913,assumption,(~v26(constB19)), introduced(assumption)).
% 53.61/33.82 tff(5914,plain,
% 53.61/33.82 ((~v127(constB19, 1)) | v130(constB19, 1)),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[4275, 1276, 5913])).
% 53.61/33.82 tff(5915,plain,
% 53.61/33.82 (v130(constB19, 1)),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[5914, 5912])).
% 53.61/33.82 tff(5916,plain,
% 53.61/33.82 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB19)) | (~v130(constB19, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB19)) | (~v130(constB19, 1)))),
% 53.61/33.82 inference(rewrite,[status(thm)],[])).
% 53.61/33.82 tff(5917,plain,
% 53.61/33.82 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB19)) | (~v130(constB19, 1)))),
% 53.61/33.82 inference(quant_inst,[status(thm)],[])).
% 53.61/33.82 tff(5918,plain,
% 53.61/33.82 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB19)) | (~v130(constB19, 1))),
% 53.61/33.82 inference(modus_ponens,[status(thm)],[5917, 5916])).
% 53.61/33.82 tff(5919,plain,
% 53.61/33.82 (~v123(constB19)),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[5918, 2581, 5915])).
% 53.61/33.82 tff(5920,plain,
% 53.61/33.82 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB19)) | (~v130(constB19, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB19)) | (~v130(constB19, 1)))),
% 53.61/33.82 inference(rewrite,[status(thm)],[])).
% 53.61/33.82 tff(5921,plain,
% 53.61/33.82 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB19)) | (~v130(constB19, 1)))),
% 53.61/33.82 inference(quant_inst,[status(thm)],[])).
% 53.61/33.82 tff(5922,plain,
% 53.61/33.82 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB19)) | (~v130(constB19, 1))),
% 53.61/33.82 inference(modus_ponens,[status(thm)],[5921, 5920])).
% 53.61/33.82 tff(5923,plain,
% 53.61/33.82 (~v119(constB19)),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[5922, 1262, 5915])).
% 53.61/33.82 tff(5924,plain,
% 53.61/33.82 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB20, 2)) | v129(constB20, 2) | (~v100(constB20)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB20, 2)) | v129(constB20, 2) | (~v100(constB20)))),
% 53.61/33.82 inference(rewrite,[status(thm)],[])).
% 53.61/33.82 tff(5925,plain,
% 53.61/33.82 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB20, 2)) | v129(constB20, 2) | (~v100(constB20)))),
% 53.61/33.82 inference(quant_inst,[status(thm)],[])).
% 53.61/33.82 tff(5926,plain,
% 53.61/33.82 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB20, 2)) | v129(constB20, 2) | (~v100(constB20))),
% 53.61/33.82 inference(modus_ponens,[status(thm)],[5925, 5924])).
% 53.61/33.82 tff(5927,plain,
% 53.61/33.82 (v129(constB20, 2) | (~v100(constB20))),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[5926, 1223, 5821])).
% 53.61/33.82 tff(5928,plain,
% 53.61/33.82 (v129(constB20, 2)),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[5927, 5909])).
% 53.61/33.82 tff(5929,plain,
% 53.61/33.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB19, constB20)) | v127(constB19, 2) | (~v129(constB20, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB19, constB20)) | v127(constB19, 2) | (~v129(constB20, 2)))),
% 53.61/33.82 inference(rewrite,[status(thm)],[])).
% 53.61/33.82 tff(5930,plain,
% 53.61/33.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB19, constB20)) | v127(constB19, 2) | (~v129(constB20, 2)))),
% 53.61/33.82 inference(quant_inst,[status(thm)],[])).
% 53.61/33.82 tff(5931,plain,
% 53.61/33.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB19, constB20)) | v127(constB19, 2) | (~v129(constB20, 2))),
% 53.61/33.82 inference(modus_ponens,[status(thm)],[5930, 5929])).
% 53.61/33.82 tff(5932,plain,
% 53.61/33.82 (v127(constB19, 2) | (~v129(constB20, 2))),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[5931, 1208, 4185])).
% 53.61/33.82 tff(5933,plain,
% 53.61/33.82 (v127(constB19, 2)),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[5932, 5928])).
% 53.61/33.82 tff(5934,plain,
% 53.61/33.82 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB19, 2)) | v26(constB19) | v130(constB19, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB19, 2)) | v26(constB19) | v130(constB19, 2))),
% 53.61/33.82 inference(rewrite,[status(thm)],[])).
% 53.61/33.82 tff(5935,plain,
% 53.61/33.82 ((v26(constB19) | v130(constB19, 2) | (~v127(constB19, 2))) <=> ((~v127(constB19, 2)) | v26(constB19) | v130(constB19, 2))),
% 53.61/33.82 inference(rewrite,[status(thm)],[])).
% 53.61/33.82 tff(5936,plain,
% 53.61/33.82 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB19) | v130(constB19, 2) | (~v127(constB19, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB19, 2)) | v26(constB19) | v130(constB19, 2)))),
% 53.61/33.82 inference(monotonicity,[status(thm)],[5935])).
% 53.61/33.82 tff(5937,plain,
% 53.61/33.82 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB19) | v130(constB19, 2) | (~v127(constB19, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB19, 2)) | v26(constB19) | v130(constB19, 2))),
% 53.61/33.82 inference(transitivity,[status(thm)],[5936, 5934])).
% 53.61/33.82 tff(5938,plain,
% 53.61/33.82 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB19) | v130(constB19, 2) | (~v127(constB19, 2)))),
% 53.61/33.82 inference(quant_inst,[status(thm)],[])).
% 53.61/33.82 tff(5939,plain,
% 53.61/33.82 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB19, 2)) | v26(constB19) | v130(constB19, 2)),
% 53.61/33.82 inference(modus_ponens,[status(thm)],[5938, 5937])).
% 53.61/33.82 tff(5940,plain,
% 53.61/33.82 ((~v127(constB19, 2)) | v130(constB19, 2)),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[5939, 1190, 5913])).
% 53.61/33.82 tff(5941,plain,
% 53.61/33.82 (v130(constB19, 2)),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[5940, 5933])).
% 53.61/33.82 tff(5942,plain,
% 53.61/33.82 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB19)) | (~v130(constB19, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB19)) | (~v130(constB19, 2)))),
% 53.61/33.82 inference(rewrite,[status(thm)],[])).
% 53.61/33.82 tff(5943,plain,
% 53.61/33.82 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB19)) | (~v130(constB19, 2)))),
% 53.61/33.82 inference(quant_inst,[status(thm)],[])).
% 53.61/33.82 tff(5944,plain,
% 53.61/33.82 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB19)) | (~v130(constB19, 2))),
% 53.61/33.82 inference(modus_ponens,[status(thm)],[5943, 5942])).
% 53.61/33.82 tff(5945,plain,
% 53.61/33.82 (~v121(constB19)),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[5944, 1821, 5941])).
% 53.61/33.82 tff(5946,assumption,(~v120(constB19)), introduced(assumption)).
% 53.61/33.82 tff(5947,assumption,(~v122(constB19)), introduced(assumption)).
% 53.61/33.82 tff(5948,assumption,(~v124(constB19)), introduced(assumption)).
% 53.61/33.82 tff(5949,plain,
% 53.61/33.82 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB19) | v120(constB19) | v121(constB19) | v122(constB19) | v123(constB19) | v124(constB19) | (~v130(constB19, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB19) | v120(constB19) | v121(constB19) | v122(constB19) | v123(constB19) | v124(constB19) | (~v130(constB19, 1)))),
% 53.61/33.82 inference(rewrite,[status(thm)],[])).
% 53.61/33.82 tff(5950,plain,
% 53.61/33.82 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB19) | v120(constB19) | v121(constB19) | v122(constB19) | v123(constB19) | v124(constB19) | (~v130(constB19, 1)))),
% 53.61/33.82 inference(quant_inst,[status(thm)],[])).
% 53.61/33.82 tff(5951,plain,
% 53.61/33.82 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB19) | v120(constB19) | v121(constB19) | v122(constB19) | v123(constB19) | v124(constB19) | (~v130(constB19, 1))),
% 53.61/33.82 inference(modus_ponens,[status(thm)],[5950, 5949])).
% 53.61/33.82 tff(5952,plain,
% 53.61/33.82 (v119(constB19) | v121(constB19) | v123(constB19) | (~v130(constB19, 1))),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[5951, 3309, 5948, 5947, 5946])).
% 53.61/33.82 tff(5953,plain,
% 53.61/33.82 ($false),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[5952, 5945, 5923, 5915, 5919])).
% 53.61/33.82 tff(5954,plain,((~v100(constB20)) | v124(constB19) | v122(constB19) | v120(constB19) | v26(constB19) | (~v90(constB20, 2)) | (~v90(constB20, 1))), inference(lemma,lemma(discharge,[]))).
% 53.61/33.82 tff(5955,plain,
% 53.61/33.82 ((~v100(constB20)) | v124(constB19) | v122(constB19) | v120(constB19) | (~v90(constB20, 2)) | (~v90(constB20, 1))),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[5954, 4167])).
% 53.61/33.82 tff(5956,plain,
% 53.61/33.82 (~v100(constB20)),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[5955, 5908, 5798, 5907, 5780, 5903])).
% 53.61/33.82 tff(5957,plain,
% 53.61/33.82 (v90(constB19, 2)),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[5828, 5956, 5780])).
% 53.61/33.82 tff(5958,plain,
% 53.61/33.82 (v90(constB18, 2)),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[4071, 5957])).
% 53.61/33.82 tff(5959,plain,
% 53.61/33.82 (v90(constB19, 1)),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[5841, 5956, 5798])).
% 53.61/33.82 tff(5960,plain,
% 53.61/33.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB18, 1) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB18, 1) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, 1)))),
% 53.61/33.82 inference(rewrite,[status(thm)],[])).
% 53.61/33.82 tff(5961,plain,
% 53.61/33.82 (((~nextState(constB18, constB19)) | v90(constB18, 1) | v100(constB19) | (~v90(constB19, 1))) <=> (v90(constB18, 1) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, 1)))),
% 53.61/33.82 inference(rewrite,[status(thm)],[])).
% 53.61/33.82 tff(5962,plain,
% 53.61/33.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB18, constB19)) | v90(constB18, 1) | v100(constB19) | (~v90(constB19, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB18, 1) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, 1))))),
% 53.61/33.82 inference(monotonicity,[status(thm)],[5961])).
% 53.61/33.82 tff(5963,plain,
% 53.61/33.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB18, constB19)) | v90(constB18, 1) | v100(constB19) | (~v90(constB19, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB18, 1) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, 1)))),
% 53.61/33.82 inference(transitivity,[status(thm)],[5962, 5960])).
% 53.61/33.82 tff(5964,plain,
% 53.61/33.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB18, constB19)) | v90(constB18, 1) | v100(constB19) | (~v90(constB19, 1)))),
% 53.61/33.82 inference(quant_inst,[status(thm)],[])).
% 53.61/33.82 tff(5965,plain,
% 53.61/33.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB18, 1) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, 1))),
% 53.61/33.82 inference(modus_ponens,[status(thm)],[5964, 5963])).
% 53.61/33.82 tff(5966,plain,
% 53.61/33.82 (v90(constB18, 1) | v100(constB19) | (~v90(constB19, 1))),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[5965, 926, 4051])).
% 53.61/33.82 tff(5967,plain,
% 53.61/33.82 (v90(constB18, 1) | (~v90(constB19, 1))),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[5966, 4063])).
% 53.61/33.82 tff(5968,plain,
% 53.61/33.82 (v90(constB18, 1)),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[5967, 5959])).
% 53.61/33.82 tff(5969,plain,
% 53.61/33.82 (v90(constB19, 0)),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[5857, 5956, 5789])).
% 53.61/33.82 tff(5970,plain,
% 53.61/33.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB18, 0) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB18, 0) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, 0)))),
% 53.61/33.82 inference(rewrite,[status(thm)],[])).
% 53.61/33.82 tff(5971,plain,
% 53.61/33.82 (((~nextState(constB18, constB19)) | v90(constB18, 0) | v100(constB19) | (~v90(constB19, 0))) <=> (v90(constB18, 0) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, 0)))),
% 53.61/33.82 inference(rewrite,[status(thm)],[])).
% 53.61/33.82 tff(5972,plain,
% 53.61/33.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB18, constB19)) | v90(constB18, 0) | v100(constB19) | (~v90(constB19, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB18, 0) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, 0))))),
% 53.61/33.82 inference(monotonicity,[status(thm)],[5971])).
% 53.61/33.82 tff(5973,plain,
% 53.61/33.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB18, constB19)) | v90(constB18, 0) | v100(constB19) | (~v90(constB19, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB18, 0) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, 0)))),
% 53.61/33.82 inference(transitivity,[status(thm)],[5972, 5970])).
% 53.61/33.82 tff(5974,plain,
% 53.61/33.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB18, constB19)) | v90(constB18, 0) | v100(constB19) | (~v90(constB19, 0)))),
% 53.61/33.82 inference(quant_inst,[status(thm)],[])).
% 53.61/33.82 tff(5975,plain,
% 53.61/33.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB18, 0) | (~nextState(constB18, constB19)) | v100(constB19) | (~v90(constB19, 0))),
% 53.61/33.82 inference(modus_ponens,[status(thm)],[5974, 5973])).
% 53.61/33.82 tff(5976,plain,
% 53.61/33.82 (v90(constB18, 0) | v100(constB19) | (~v90(constB19, 0))),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[5975, 947, 4051])).
% 53.61/33.82 tff(5977,plain,
% 53.61/33.82 (v90(constB18, 0) | (~v90(constB19, 0))),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[5976, 4063])).
% 53.61/33.82 tff(5978,plain,
% 53.61/33.82 (v90(constB18, 0)),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[5977, 5969])).
% 53.61/33.82 tff(5979,assumption,(v90(constB18, 1)), introduced(assumption)).
% 53.61/33.82 tff(5980,assumption,(~v90(constB17, 1)), introduced(assumption)).
% 53.61/33.82 tff(5981,plain,
% 53.61/33.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB17, 1) | (~nextState(constB17, constB18)) | v100(constB18) | (~v90(constB18, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB17, 1) | (~nextState(constB17, constB18)) | v100(constB18) | (~v90(constB18, 1)))),
% 53.61/33.82 inference(rewrite,[status(thm)],[])).
% 53.61/33.82 tff(5982,plain,
% 53.61/33.82 (((~nextState(constB17, constB18)) | v90(constB17, 1) | v100(constB18) | (~v90(constB18, 1))) <=> (v90(constB17, 1) | (~nextState(constB17, constB18)) | v100(constB18) | (~v90(constB18, 1)))),
% 53.61/33.82 inference(rewrite,[status(thm)],[])).
% 53.61/33.82 tff(5983,plain,
% 53.61/33.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB17, constB18)) | v90(constB17, 1) | v100(constB18) | (~v90(constB18, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB17, 1) | (~nextState(constB17, constB18)) | v100(constB18) | (~v90(constB18, 1))))),
% 53.61/33.82 inference(monotonicity,[status(thm)],[5982])).
% 53.61/33.82 tff(5984,plain,
% 53.61/33.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB17, constB18)) | v90(constB17, 1) | v100(constB18) | (~v90(constB18, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB17, 1) | (~nextState(constB17, constB18)) | v100(constB18) | (~v90(constB18, 1)))),
% 53.61/33.82 inference(transitivity,[status(thm)],[5983, 5981])).
% 53.61/33.82 tff(5985,plain,
% 53.61/33.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB17, constB18)) | v90(constB17, 1) | v100(constB18) | (~v90(constB18, 1)))),
% 53.61/33.82 inference(quant_inst,[status(thm)],[])).
% 53.61/33.82 tff(5986,plain,
% 53.61/33.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB17, 1) | (~nextState(constB17, constB18)) | v100(constB18) | (~v90(constB18, 1))),
% 53.61/33.82 inference(modus_ponens,[status(thm)],[5985, 5984])).
% 53.61/33.82 tff(5987,plain,
% 53.61/33.82 (v90(constB17, 1) | v100(constB18) | (~v90(constB18, 1))),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[5986, 926, 3992])).
% 53.61/33.82 tff(5988,plain,
% 53.61/33.82 (v100(constB18)),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[5987, 5980, 5979])).
% 53.61/33.82 tff(5989,assumption,(v90(constB18, 2)), introduced(assumption)).
% 53.61/33.82 tff(5990,plain,
% 53.61/33.82 (v129(constB18, 2) | (~v100(constB18))),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[4043, 1223, 5989])).
% 53.61/33.82 tff(5991,plain,
% 53.61/33.82 (v129(constB18, 2)),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[5990, 5988])).
% 53.61/33.82 tff(5992,plain,
% 53.61/33.82 (v127(constB17, 2)),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[4039, 5991])).
% 53.61/33.82 tff(5993,plain,
% 53.61/33.82 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | ((~v26(constB17)) | (~v127(constB17, 2)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | (~v26(constB17)) | (~v127(constB17, 2)))),
% 53.61/33.82 inference(rewrite,[status(thm)],[])).
% 53.61/33.82 tff(5994,plain,
% 53.61/33.82 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | ((~v26(constB17)) | (~v127(constB17, 2)))),
% 53.61/33.82 inference(quant_inst,[status(thm)],[])).
% 53.61/33.82 tff(5995,plain,
% 53.61/33.82 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | (~v26(constB17)) | (~v127(constB17, 2))),
% 53.61/33.82 inference(modus_ponens,[status(thm)],[5994, 5993])).
% 53.61/33.82 tff(5996,plain,
% 53.61/33.82 (~v26(constB17)),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[5995, 3715, 5992])).
% 53.61/33.82 tff(5997,plain,
% 53.61/33.82 (v130(constB17, 2)),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[4033, 1190, 5992, 5996])).
% 53.61/33.82 tff(5998,plain,
% 53.61/33.82 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB17)) | (~v130(constB17, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB17)) | (~v130(constB17, 2)))),
% 53.61/33.82 inference(rewrite,[status(thm)],[])).
% 53.61/33.82 tff(5999,plain,
% 53.61/33.82 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB17)) | (~v130(constB17, 2)))),
% 53.61/33.82 inference(quant_inst,[status(thm)],[])).
% 53.61/33.82 tff(6000,plain,
% 53.61/33.82 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB17)) | (~v130(constB17, 2))),
% 53.61/33.82 inference(modus_ponens,[status(thm)],[5999, 5998])).
% 53.61/33.82 tff(6001,plain,
% 53.61/33.82 (~v119(constB17)),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[6000, 1176, 5997])).
% 53.61/33.82 tff(6002,plain,
% 53.61/33.82 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB17)) | (~v130(constB17, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB17)) | (~v130(constB17, 2)))),
% 53.61/33.82 inference(rewrite,[status(thm)],[])).
% 53.61/33.82 tff(6003,plain,
% 53.61/33.82 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB17)) | (~v130(constB17, 2)))),
% 53.61/33.82 inference(quant_inst,[status(thm)],[])).
% 53.61/33.82 tff(6004,plain,
% 53.61/33.82 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB17)) | (~v130(constB17, 2))),
% 53.61/33.82 inference(modus_ponens,[status(thm)],[6003, 6002])).
% 53.61/33.82 tff(6005,plain,
% 53.61/33.82 (~v120(constB17)),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[6004, 1523, 5997])).
% 53.61/33.82 tff(6006,plain,
% 53.61/33.82 (^[VarCurr: state_type] : refl(((~v121(VarCurr)) | v90(VarCurr, 1)) <=> ((~v121(VarCurr)) | v90(VarCurr, 1)))),
% 53.61/33.82 inference(bind,[status(th)],[])).
% 53.61/33.82 tff(6007,plain,
% 53.61/33.82 (![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))),
% 53.61/33.82 inference(quant_intro,[status(thm)],[6006])).
% 53.61/33.82 tff(6008,plain,
% 53.61/33.82 (![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))),
% 53.61/33.82 inference(rewrite,[status(thm)],[])).
% 53.61/33.82 tff(6009,axiom,(![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_2')).
% 53.61/33.82 tff(6010,plain,
% 53.61/33.82 (![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))),
% 53.61/33.82 inference(modus_ponens,[status(thm)],[6009, 6008])).
% 53.61/33.82 tff(6011,plain,(
% 53.61/33.82 ![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))),
% 53.61/33.82 inference(skolemize,[status(sab)],[6010])).
% 53.61/33.82 tff(6012,plain,
% 53.61/33.82 (![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))),
% 53.61/33.82 inference(modus_ponens,[status(thm)],[6011, 6007])).
% 53.61/33.82 tff(6013,plain,
% 53.61/33.82 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))) | ((~v121(constB17)) | v90(constB17, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))) | (~v121(constB17)) | v90(constB17, 1))),
% 53.61/33.82 inference(rewrite,[status(thm)],[])).
% 53.61/33.82 tff(6014,plain,
% 53.61/33.82 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))) | ((~v121(constB17)) | v90(constB17, 1))),
% 53.61/33.82 inference(quant_inst,[status(thm)],[])).
% 53.61/33.82 tff(6015,plain,
% 53.61/33.82 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))) | (~v121(constB17)) | v90(constB17, 1)),
% 53.61/33.82 inference(modus_ponens,[status(thm)],[6014, 6013])).
% 53.61/33.82 tff(6016,plain,
% 53.61/33.82 (~v121(constB17)),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[6015, 6012, 5980])).
% 53.61/33.82 tff(6017,plain,
% 53.61/33.82 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | ((~v122(constB17)) | v90(constB17, 1))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | (~v122(constB17)) | v90(constB17, 1))),
% 53.61/33.82 inference(rewrite,[status(thm)],[])).
% 53.61/33.82 tff(6018,plain,
% 53.61/33.82 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | ((~v122(constB17)) | v90(constB17, 1))),
% 53.61/33.82 inference(quant_inst,[status(thm)],[])).
% 53.61/33.82 tff(6019,plain,
% 53.61/33.82 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | (~v122(constB17)) | v90(constB17, 1)),
% 53.61/33.82 inference(modus_ponens,[status(thm)],[6018, 6017])).
% 53.61/33.82 tff(6020,plain,
% 53.61/33.82 (~v122(constB17)),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[6019, 5282, 5980])).
% 53.61/33.82 tff(6021,assumption,(v90(constB18, 0)), introduced(assumption)).
% 53.61/33.82 tff(6022,plain,
% 53.61/33.82 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB18, 0)) | v129(constB18, 0) | (~v100(constB18)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB18, 0)) | v129(constB18, 0) | (~v100(constB18)))),
% 53.61/33.82 inference(rewrite,[status(thm)],[])).
% 53.61/33.82 tff(6023,plain,
% 53.61/33.82 (((~v90(constB18, 0)) | (~v100(constB18)) | v129(constB18, 0)) <=> ((~v90(constB18, 0)) | v129(constB18, 0) | (~v100(constB18)))),
% 53.61/33.82 inference(rewrite,[status(thm)],[])).
% 53.61/33.82 tff(6024,plain,
% 53.61/33.82 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB18, 0)) | (~v100(constB18)) | v129(constB18, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB18, 0)) | v129(constB18, 0) | (~v100(constB18))))),
% 53.61/33.82 inference(monotonicity,[status(thm)],[6023])).
% 53.61/33.82 tff(6025,plain,
% 53.61/33.82 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB18, 0)) | (~v100(constB18)) | v129(constB18, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB18, 0)) | v129(constB18, 0) | (~v100(constB18)))),
% 53.61/33.82 inference(transitivity,[status(thm)],[6024, 6022])).
% 53.61/33.82 tff(6026,plain,
% 53.61/33.82 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB18, 0)) | (~v100(constB18)) | v129(constB18, 0))),
% 53.61/33.82 inference(quant_inst,[status(thm)],[])).
% 53.61/33.82 tff(6027,plain,
% 53.61/33.82 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB18, 0)) | v129(constB18, 0) | (~v100(constB18))),
% 53.61/33.82 inference(modus_ponens,[status(thm)],[6026, 6025])).
% 53.61/33.82 tff(6028,plain,
% 53.61/33.82 (v129(constB18, 0) | (~v100(constB18))),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[6027, 1704, 6021])).
% 53.61/33.82 tff(6029,plain,
% 53.61/33.82 (v129(constB18, 0)),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[6028, 5988])).
% 53.61/33.82 tff(6030,plain,
% 53.61/33.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB17, constB18)) | v127(constB17, 0) | (~v129(constB18, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB17, constB18)) | v127(constB17, 0) | (~v129(constB18, 0)))),
% 53.61/33.82 inference(rewrite,[status(thm)],[])).
% 53.61/33.82 tff(6031,plain,
% 53.61/33.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB17, constB18)) | v127(constB17, 0) | (~v129(constB18, 0)))),
% 53.61/33.82 inference(quant_inst,[status(thm)],[])).
% 53.61/33.82 tff(6032,plain,
% 53.61/33.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB17, constB18)) | v127(constB17, 0) | (~v129(constB18, 0))),
% 53.61/33.82 inference(modus_ponens,[status(thm)],[6031, 6030])).
% 53.61/33.82 tff(6033,plain,
% 53.61/33.82 (v127(constB17, 0) | (~v129(constB18, 0))),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[6032, 1689, 3992])).
% 53.61/33.82 tff(6034,plain,
% 53.61/33.82 (v127(constB17, 0)),
% 53.61/33.82 inference(unit_resolution,[status(thm)],[6033, 6029])).
% 53.61/33.82 tff(6035,plain,
% 53.61/33.82 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB17, 0)) | v26(constB17) | v130(constB17, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB17, 0)) | v26(constB17) | v130(constB17, 0))),
% 53.61/33.82 inference(rewrite,[status(thm)],[])).
% 53.61/33.82 tff(6036,plain,
% 53.61/33.82 ((v26(constB17) | v130(constB17, 0) | (~v127(constB17, 0))) <=> ((~v127(constB17, 0)) | v26(constB17) | v130(constB17, 0))),
% 53.61/33.82 inference(rewrite,[status(thm)],[])).
% 53.61/33.83 tff(6037,plain,
% 53.61/33.83 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB17) | v130(constB17, 0) | (~v127(constB17, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB17, 0)) | v26(constB17) | v130(constB17, 0)))),
% 53.61/33.83 inference(monotonicity,[status(thm)],[6036])).
% 53.61/33.83 tff(6038,plain,
% 53.61/33.83 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB17) | v130(constB17, 0) | (~v127(constB17, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB17, 0)) | v26(constB17) | v130(constB17, 0))),
% 53.61/33.83 inference(transitivity,[status(thm)],[6037, 6035])).
% 53.61/33.83 tff(6039,plain,
% 53.61/33.83 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB17) | v130(constB17, 0) | (~v127(constB17, 0)))),
% 53.61/33.83 inference(quant_inst,[status(thm)],[])).
% 53.61/33.83 tff(6040,plain,
% 53.61/33.83 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB17, 0)) | v26(constB17) | v130(constB17, 0)),
% 53.61/33.83 inference(modus_ponens,[status(thm)],[6039, 6038])).
% 53.61/33.83 tff(6041,plain,
% 53.61/33.83 (v130(constB17, 0)),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[6040, 1671, 6034, 5996])).
% 53.61/33.83 tff(6042,plain,
% 53.61/33.83 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB17)) | (~v130(constB17, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB17)) | (~v130(constB17, 0)))),
% 53.61/33.83 inference(rewrite,[status(thm)],[])).
% 53.61/33.83 tff(6043,plain,
% 53.61/33.83 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB17)) | (~v130(constB17, 0)))),
% 53.61/33.83 inference(quant_inst,[status(thm)],[])).
% 53.61/33.83 tff(6044,plain,
% 53.61/33.83 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB17)) | (~v130(constB17, 0))),
% 53.61/33.83 inference(modus_ponens,[status(thm)],[6043, 6042])).
% 53.61/33.83 tff(6045,plain,
% 53.61/33.83 (~v124(constB17)),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[6044, 3274, 6041])).
% 53.61/33.83 tff(6046,plain,
% 53.61/33.83 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB18, 1)) | v129(constB18, 1) | (~v100(constB18)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB18, 1)) | v129(constB18, 1) | (~v100(constB18)))),
% 53.61/33.83 inference(rewrite,[status(thm)],[])).
% 53.61/33.83 tff(6047,plain,
% 53.61/33.83 (((~v90(constB18, 1)) | (~v100(constB18)) | v129(constB18, 1)) <=> ((~v90(constB18, 1)) | v129(constB18, 1) | (~v100(constB18)))),
% 53.61/33.83 inference(rewrite,[status(thm)],[])).
% 53.61/33.83 tff(6048,plain,
% 53.61/33.83 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB18, 1)) | (~v100(constB18)) | v129(constB18, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB18, 1)) | v129(constB18, 1) | (~v100(constB18))))),
% 53.61/33.83 inference(monotonicity,[status(thm)],[6047])).
% 53.61/33.83 tff(6049,plain,
% 53.61/33.83 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB18, 1)) | (~v100(constB18)) | v129(constB18, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB18, 1)) | v129(constB18, 1) | (~v100(constB18)))),
% 53.61/33.83 inference(transitivity,[status(thm)],[6048, 6046])).
% 53.61/33.83 tff(6050,plain,
% 53.61/33.83 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB18, 1)) | (~v100(constB18)) | v129(constB18, 1))),
% 53.61/33.83 inference(quant_inst,[status(thm)],[])).
% 53.61/33.83 tff(6051,plain,
% 53.61/33.83 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB18, 1)) | v129(constB18, 1) | (~v100(constB18))),
% 53.61/33.83 inference(modus_ponens,[status(thm)],[6050, 6049])).
% 53.61/33.83 tff(6052,plain,
% 53.61/33.83 (v129(constB18, 1) | (~v100(constB18))),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[6051, 1309, 5979])).
% 53.61/33.83 tff(6053,plain,
% 53.61/33.83 (v129(constB18, 1)),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[6052, 5988])).
% 53.61/33.83 tff(6054,plain,
% 53.61/33.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB17, constB18)) | v127(constB17, 1) | (~v129(constB18, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB17, constB18)) | v127(constB17, 1) | (~v129(constB18, 1)))),
% 53.61/33.83 inference(rewrite,[status(thm)],[])).
% 53.61/33.83 tff(6055,plain,
% 53.61/33.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB17, constB18)) | v127(constB17, 1) | (~v129(constB18, 1)))),
% 53.61/33.83 inference(quant_inst,[status(thm)],[])).
% 53.61/33.83 tff(6056,plain,
% 53.61/33.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB17, constB18)) | v127(constB17, 1) | (~v129(constB18, 1))),
% 53.61/33.83 inference(modus_ponens,[status(thm)],[6055, 6054])).
% 53.61/33.83 tff(6057,plain,
% 53.61/33.83 (v127(constB17, 1) | (~v129(constB18, 1))),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[6056, 1294, 3992])).
% 53.61/33.83 tff(6058,plain,
% 53.61/33.83 (v127(constB17, 1)),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[6057, 6053])).
% 53.61/33.83 tff(6059,plain,
% 53.61/33.83 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB17, 1)) | v26(constB17) | v130(constB17, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB17, 1)) | v26(constB17) | v130(constB17, 1))),
% 53.61/33.83 inference(rewrite,[status(thm)],[])).
% 53.61/33.83 tff(6060,plain,
% 53.61/33.83 ((v26(constB17) | v130(constB17, 1) | (~v127(constB17, 1))) <=> ((~v127(constB17, 1)) | v26(constB17) | v130(constB17, 1))),
% 53.61/33.83 inference(rewrite,[status(thm)],[])).
% 53.61/33.83 tff(6061,plain,
% 53.61/33.83 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB17) | v130(constB17, 1) | (~v127(constB17, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB17, 1)) | v26(constB17) | v130(constB17, 1)))),
% 53.61/33.83 inference(monotonicity,[status(thm)],[6060])).
% 53.61/33.83 tff(6062,plain,
% 53.61/33.83 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB17) | v130(constB17, 1) | (~v127(constB17, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB17, 1)) | v26(constB17) | v130(constB17, 1))),
% 53.61/33.83 inference(transitivity,[status(thm)],[6061, 6059])).
% 53.61/33.83 tff(6063,plain,
% 53.61/33.83 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB17) | v130(constB17, 1) | (~v127(constB17, 1)))),
% 53.61/33.83 inference(quant_inst,[status(thm)],[])).
% 53.61/33.83 tff(6064,plain,
% 53.61/33.83 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB17, 1)) | v26(constB17) | v130(constB17, 1)),
% 53.61/33.83 inference(modus_ponens,[status(thm)],[6063, 6062])).
% 53.61/33.83 tff(6065,plain,
% 53.61/33.83 (v130(constB17, 1)),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[6064, 1276, 6058, 5996])).
% 53.61/33.83 tff(6066,plain,
% 53.61/33.83 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB17) | v120(constB17) | v121(constB17) | v122(constB17) | v123(constB17) | v124(constB17) | (~v130(constB17, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB17) | v120(constB17) | v121(constB17) | v122(constB17) | v123(constB17) | v124(constB17) | (~v130(constB17, 1)))),
% 53.61/33.83 inference(rewrite,[status(thm)],[])).
% 53.61/33.83 tff(6067,plain,
% 53.61/33.83 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB17) | v120(constB17) | v121(constB17) | v122(constB17) | v123(constB17) | v124(constB17) | (~v130(constB17, 1)))),
% 53.61/33.83 inference(quant_inst,[status(thm)],[])).
% 53.61/33.83 tff(6068,plain,
% 53.61/33.83 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB17) | v120(constB17) | v121(constB17) | v122(constB17) | v123(constB17) | v124(constB17) | (~v130(constB17, 1))),
% 53.61/33.83 inference(modus_ponens,[status(thm)],[6067, 6066])).
% 53.61/33.83 tff(6069,plain,
% 53.61/33.83 (v123(constB17)),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[6068, 3309, 6065, 6045, 6020, 6016, 6005, 6001])).
% 53.61/33.83 tff(6070,plain,
% 53.61/33.83 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB17)) | (~v130(constB17, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB17)) | (~v130(constB17, 1)))),
% 53.61/33.83 inference(rewrite,[status(thm)],[])).
% 53.61/33.83 tff(6071,plain,
% 53.61/33.83 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB17)) | (~v130(constB17, 1)))),
% 53.61/33.83 inference(quant_inst,[status(thm)],[])).
% 53.61/33.83 tff(6072,plain,
% 53.61/33.83 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB17)) | (~v130(constB17, 1))),
% 53.61/33.83 inference(modus_ponens,[status(thm)],[6071, 6070])).
% 53.61/33.83 tff(6073,plain,
% 53.61/33.83 ($false),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[6072, 2581, 6065, 6069])).
% 53.61/33.83 tff(6074,plain,(v90(constB17, 1) | (~v90(constB18, 1)) | (~v90(constB18, 0)) | (~v90(constB18, 2))), inference(lemma,lemma(discharge,[]))).
% 53.61/33.83 tff(6075,plain,
% 53.61/33.83 (v90(constB17, 1)),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[6074, 5978, 5968, 5958])).
% 53.61/33.83 tff(6076,plain,
% 53.61/33.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB16, 1) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB16, 1) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, 1)))),
% 53.61/33.83 inference(rewrite,[status(thm)],[])).
% 53.61/33.83 tff(6077,plain,
% 53.61/33.83 (((~nextState(constB16, constB17)) | v90(constB16, 1) | v100(constB17) | (~v90(constB17, 1))) <=> (v90(constB16, 1) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, 1)))),
% 53.61/33.83 inference(rewrite,[status(thm)],[])).
% 53.61/33.83 tff(6078,plain,
% 53.61/33.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB16, constB17)) | v90(constB16, 1) | v100(constB17) | (~v90(constB17, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB16, 1) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, 1))))),
% 53.61/33.83 inference(monotonicity,[status(thm)],[6077])).
% 53.61/33.83 tff(6079,plain,
% 53.61/33.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB16, constB17)) | v90(constB16, 1) | v100(constB17) | (~v90(constB17, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB16, 1) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, 1)))),
% 53.61/33.83 inference(transitivity,[status(thm)],[6078, 6076])).
% 53.61/33.83 tff(6080,plain,
% 53.61/33.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB16, constB17)) | v90(constB16, 1) | v100(constB17) | (~v90(constB17, 1)))),
% 53.61/33.83 inference(quant_inst,[status(thm)],[])).
% 53.61/33.83 tff(6081,plain,
% 53.61/33.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB16, 1) | (~nextState(constB16, constB17)) | v100(constB17) | (~v90(constB17, 1))),
% 53.61/33.83 inference(modus_ponens,[status(thm)],[6080, 6079])).
% 53.61/33.83 tff(6082,plain,
% 53.61/33.83 (v90(constB16, 1) | v100(constB17) | (~v90(constB17, 1))),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[6081, 926, 3848])).
% 53.61/33.83 tff(6083,plain,
% 53.61/33.83 (v90(constB16, 1) | (~v90(constB17, 1))),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[6082, 3860])).
% 53.61/33.83 tff(6084,plain,
% 53.61/33.83 (v90(constB16, 1)),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[6083, 6075])).
% 53.61/33.83 tff(6085,plain,
% 53.61/33.83 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB16, 1)) | v129(constB16, 1) | (~v100(constB16)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB16, 1)) | v129(constB16, 1) | (~v100(constB16)))),
% 53.61/33.83 inference(rewrite,[status(thm)],[])).
% 53.61/33.83 tff(6086,plain,
% 53.61/33.83 (((~v90(constB16, 1)) | (~v100(constB16)) | v129(constB16, 1)) <=> ((~v90(constB16, 1)) | v129(constB16, 1) | (~v100(constB16)))),
% 53.61/33.83 inference(rewrite,[status(thm)],[])).
% 53.61/33.83 tff(6087,plain,
% 53.61/33.83 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB16, 1)) | (~v100(constB16)) | v129(constB16, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB16, 1)) | v129(constB16, 1) | (~v100(constB16))))),
% 53.61/33.83 inference(monotonicity,[status(thm)],[6086])).
% 53.61/33.83 tff(6088,plain,
% 53.61/33.83 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB16, 1)) | (~v100(constB16)) | v129(constB16, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB16, 1)) | v129(constB16, 1) | (~v100(constB16)))),
% 53.61/33.83 inference(transitivity,[status(thm)],[6087, 6085])).
% 53.61/33.83 tff(6089,plain,
% 53.61/33.83 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB16, 1)) | (~v100(constB16)) | v129(constB16, 1))),
% 53.61/33.83 inference(quant_inst,[status(thm)],[])).
% 53.61/33.83 tff(6090,plain,
% 53.61/33.83 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB16, 1)) | v129(constB16, 1) | (~v100(constB16))),
% 53.61/33.83 inference(modus_ponens,[status(thm)],[6089, 6088])).
% 53.61/33.83 tff(6091,plain,
% 53.61/33.83 ((~v90(constB16, 1)) | v129(constB16, 1)),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[6090, 1309, 3834])).
% 53.61/33.83 tff(6092,plain,
% 53.61/33.83 (v129(constB16, 1)),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[6091, 6084])).
% 53.61/33.83 tff(6093,plain,
% 53.61/33.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB15, constB16)) | v127(constB15, 1) | (~v129(constB16, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB15, constB16)) | v127(constB15, 1) | (~v129(constB16, 1)))),
% 53.61/33.83 inference(rewrite,[status(thm)],[])).
% 53.61/33.83 tff(6094,plain,
% 53.61/33.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB15, constB16)) | v127(constB15, 1) | (~v129(constB16, 1)))),
% 53.61/33.83 inference(quant_inst,[status(thm)],[])).
% 53.61/33.83 tff(6095,plain,
% 53.61/33.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB15, constB16)) | v127(constB15, 1) | (~v129(constB16, 1))),
% 53.61/33.83 inference(modus_ponens,[status(thm)],[6094, 6093])).
% 53.61/33.83 tff(6096,plain,
% 53.61/33.83 (v127(constB15, 1) | (~v129(constB16, 1))),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[6095, 1294, 3460])).
% 53.61/33.83 tff(6097,plain,
% 53.61/33.83 (v127(constB15, 1)),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[6096, 6092])).
% 53.61/33.83 tff(6098,plain,
% 53.61/33.83 (^[VarCurr: state_type] : refl(((~v26(VarCurr)) | (~v127(VarCurr, 1))) <=> ((~v26(VarCurr)) | (~v127(VarCurr, 1))))),
% 53.61/33.83 inference(bind,[status(th)],[])).
% 53.61/33.83 tff(6099,plain,
% 53.61/33.83 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))),
% 53.61/33.83 inference(quant_intro,[status(thm)],[6098])).
% 53.61/33.83 tff(6100,plain,
% 53.61/33.83 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))),
% 53.61/33.83 inference(rewrite,[status(thm)],[])).
% 53.61/33.83 tff(6101,axiom,(![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_1_1_1_2')).
% 53.61/33.83 tff(6102,plain,
% 53.61/33.83 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))),
% 53.61/33.83 inference(modus_ponens,[status(thm)],[6101, 6100])).
% 53.61/33.83 tff(6103,plain,(
% 53.61/33.83 ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))),
% 53.61/33.83 inference(skolemize,[status(sab)],[6102])).
% 53.61/33.83 tff(6104,plain,
% 53.61/33.83 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))),
% 53.61/33.83 inference(modus_ponens,[status(thm)],[6103, 6099])).
% 53.61/33.83 tff(6105,plain,
% 53.61/33.83 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))) | ((~v26(constB15)) | (~v127(constB15, 1)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))) | (~v26(constB15)) | (~v127(constB15, 1)))),
% 53.61/33.83 inference(rewrite,[status(thm)],[])).
% 53.61/33.83 tff(6106,plain,
% 53.61/33.83 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))) | ((~v26(constB15)) | (~v127(constB15, 1)))),
% 53.61/33.83 inference(quant_inst,[status(thm)],[])).
% 53.61/33.83 tff(6107,plain,
% 53.61/33.83 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))) | (~v26(constB15)) | (~v127(constB15, 1))),
% 53.61/33.83 inference(modus_ponens,[status(thm)],[6106, 6105])).
% 53.61/33.83 tff(6108,plain,
% 53.61/33.83 (~v26(constB15)),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[6107, 6104, 6097])).
% 53.61/33.83 tff(6109,plain,
% 53.61/33.83 (~v127(constB15, 0)),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[3912, 6108])).
% 53.61/33.83 tff(6110,plain,
% 53.61/33.83 (~v129(constB16, 0)),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[3922, 6109])).
% 53.61/33.83 tff(6111,plain,
% 53.61/33.83 (~v90(constB16, 0)),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[3930, 6110])).
% 53.61/33.83 tff(6112,plain,
% 53.61/33.83 (~v90(constB17, 0)),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[3939, 6111])).
% 53.61/33.83 tff(6113,plain,
% 53.61/33.83 (~v127(constB15, 2)),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[3880, 6108])).
% 53.61/33.83 tff(6114,plain,
% 53.61/33.83 (~v129(constB16, 2)),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[3885, 6113])).
% 53.61/33.83 tff(6115,plain,
% 53.61/33.83 (~v90(constB16, 2)),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[3890, 6114])).
% 53.61/33.83 tff(6116,plain,
% 53.61/33.83 (~v90(constB17, 2)),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[3899, 6115])).
% 53.61/33.83 tff(6117,plain,
% 53.61/33.83 (v90(constB17, 0) | v90(constB17, 2) | v121(constB17)),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[3943, 1731, 6075])).
% 53.61/33.83 tff(6118,plain,
% 53.61/33.83 (v121(constB17)),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[6117, 6116, 6112])).
% 53.61/33.83 tff(6119,plain,
% 53.61/33.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB17, 0) | (~nextState(constB17, constB18)) | v100(constB18) | (~v90(constB18, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB17, 0) | (~nextState(constB17, constB18)) | v100(constB18) | (~v90(constB18, 0)))),
% 53.61/33.83 inference(rewrite,[status(thm)],[])).
% 53.61/33.83 tff(6120,plain,
% 53.61/33.83 (((~nextState(constB17, constB18)) | v90(constB17, 0) | v100(constB18) | (~v90(constB18, 0))) <=> (v90(constB17, 0) | (~nextState(constB17, constB18)) | v100(constB18) | (~v90(constB18, 0)))),
% 53.61/33.83 inference(rewrite,[status(thm)],[])).
% 53.61/33.83 tff(6121,plain,
% 53.61/33.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB17, constB18)) | v90(constB17, 0) | v100(constB18) | (~v90(constB18, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB17, 0) | (~nextState(constB17, constB18)) | v100(constB18) | (~v90(constB18, 0))))),
% 53.61/33.83 inference(monotonicity,[status(thm)],[6120])).
% 53.61/33.83 tff(6122,plain,
% 53.61/33.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB17, constB18)) | v90(constB17, 0) | v100(constB18) | (~v90(constB18, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB17, 0) | (~nextState(constB17, constB18)) | v100(constB18) | (~v90(constB18, 0)))),
% 53.61/33.83 inference(transitivity,[status(thm)],[6121, 6119])).
% 53.61/33.83 tff(6123,plain,
% 53.61/33.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB17, constB18)) | v90(constB17, 0) | v100(constB18) | (~v90(constB18, 0)))),
% 53.61/33.83 inference(quant_inst,[status(thm)],[])).
% 53.61/33.83 tff(6124,plain,
% 53.61/33.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB17, 0) | (~nextState(constB17, constB18)) | v100(constB18) | (~v90(constB18, 0))),
% 53.61/33.83 inference(modus_ponens,[status(thm)],[6123, 6122])).
% 53.61/33.83 tff(6125,plain,
% 53.61/33.83 (v90(constB17, 0) | v100(constB18) | (~v90(constB18, 0))),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[6124, 947, 3992])).
% 53.61/33.83 tff(6126,plain,
% 53.61/33.83 (v100(constB18)),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[6125, 6112, 5978])).
% 53.61/33.83 tff(6127,plain,
% 53.61/33.83 (v129(constB18, 2) | (~v100(constB18))),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[4043, 1223, 5958])).
% 53.61/33.83 tff(6128,plain,
% 53.61/33.83 (v129(constB18, 2)),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[6127, 6126])).
% 53.61/33.83 tff(6129,plain,
% 53.61/33.83 (v127(constB17, 2)),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[4039, 6128])).
% 53.61/33.83 tff(6130,plain,
% 53.61/33.83 (v130(constB17, 2)),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[4034, 6129])).
% 53.61/33.83 tff(6131,plain,
% 53.61/33.83 ($false),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[4026, 1821, 6130, 6118])).
% 53.61/33.83 tff(6132,plain,(v100(constB26) | v124(constB23) | v122(constB25) | v124(constB25)), inference(lemma,lemma(discharge,[]))).
% 53.61/33.83 tff(6133,plain,
% 53.61/33.83 (v124(constB23)),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[6132, 4729, 4699, 4700])).
% 53.61/33.83 tff(6134,plain,
% 53.61/33.83 (~v90(constB23, 1)),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[5641, 2890, 6133])).
% 53.61/33.83 tff(6135,plain,
% 53.61/33.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB23, 1) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB23, 1) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, 1)))),
% 53.61/33.83 inference(rewrite,[status(thm)],[])).
% 53.61/33.83 tff(6136,plain,
% 53.61/33.83 (((~nextState(constB23, constB24)) | v90(constB23, 1) | v100(constB24) | (~v90(constB24, 1))) <=> (v90(constB23, 1) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, 1)))),
% 53.61/33.83 inference(rewrite,[status(thm)],[])).
% 53.61/33.83 tff(6137,plain,
% 53.61/33.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB23, constB24)) | v90(constB23, 1) | v100(constB24) | (~v90(constB24, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB23, 1) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, 1))))),
% 53.61/33.83 inference(monotonicity,[status(thm)],[6136])).
% 53.61/33.83 tff(6138,plain,
% 53.61/33.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB23, constB24)) | v90(constB23, 1) | v100(constB24) | (~v90(constB24, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB23, 1) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, 1)))),
% 53.61/33.83 inference(transitivity,[status(thm)],[6137, 6135])).
% 53.61/33.83 tff(6139,plain,
% 53.61/33.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB23, constB24)) | v90(constB23, 1) | v100(constB24) | (~v90(constB24, 1)))),
% 53.61/33.83 inference(quant_inst,[status(thm)],[])).
% 53.61/33.83 tff(6140,plain,
% 53.61/33.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB23, 1) | (~nextState(constB23, constB24)) | v100(constB24) | (~v90(constB24, 1))),
% 53.61/33.83 inference(modus_ponens,[status(thm)],[6139, 6138])).
% 53.61/33.83 tff(6141,plain,
% 53.61/33.83 (v90(constB23, 1) | v100(constB24) | (~v90(constB24, 1))),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[6140, 926, 4562])).
% 53.61/33.83 tff(6142,plain,
% 53.61/33.83 (v100(constB24)),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[6141, 6134, 5108])).
% 53.61/33.83 tff(6143,plain,
% 53.61/33.83 (~v130(constB23, 0)),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[5660, 3274, 6133])).
% 53.61/33.83 tff(6144,plain,
% 53.61/33.83 (~v127(constB23, 0)),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[5408, 6143])).
% 53.61/33.83 tff(6145,plain,
% 53.61/33.83 (~v129(constB24, 0)),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[5400, 6144])).
% 53.61/33.83 tff(6146,plain,
% 53.61/33.83 (v90(constB24, 0)),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[5387, 5080])).
% 53.61/33.83 tff(6147,plain,
% 53.61/33.83 (v129(constB24, 0) | (~v100(constB24))),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[5394, 1704, 6146])).
% 53.61/33.83 tff(6148,plain,
% 53.61/33.83 ($false),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[6147, 6145, 6142])).
% 53.61/33.83 tff(6149,plain,(v100(constB26) | v124(constB25) | v122(constB25)), inference(lemma,lemma(discharge,[]))).
% 53.61/33.83 tff(6150,plain,
% 53.61/33.83 (v100(constB26)),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[6149, 4681, 4646])).
% 53.61/33.83 tff(6151,plain,
% 53.61/33.83 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB26, 2)) | v129(constB26, 2) | (~v100(constB26)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB26, 2)) | v129(constB26, 2) | (~v100(constB26)))),
% 53.61/33.83 inference(rewrite,[status(thm)],[])).
% 53.61/33.83 tff(6152,plain,
% 53.61/33.83 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB26, 2)) | v129(constB26, 2) | (~v100(constB26)))),
% 53.61/33.83 inference(quant_inst,[status(thm)],[])).
% 53.61/33.83 tff(6153,plain,
% 53.61/33.83 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB26, 2)) | v129(constB26, 2) | (~v100(constB26))),
% 53.61/33.83 inference(modus_ponens,[status(thm)],[6152, 6151])).
% 53.61/33.83 tff(6154,plain,
% 53.61/33.83 (~v90(constB26, 2)),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[6153, 1223, 6150, 4728])).
% 53.61/33.83 tff(6155,plain,
% 53.61/33.83 ((~v1(constB27)) <=> (~v1(constB27))),
% 53.61/33.83 inference(rewrite,[status(thm)],[])).
% 53.61/33.83 tff(6156,axiom,(~v1(constB27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_27_1_1')).
% 53.61/33.83 tff(6157,plain,
% 53.61/33.83 (~v1(constB27)),
% 53.61/33.83 inference(modus_ponens,[status(thm)],[6156, 6155])).
% 53.61/33.83 tff(6158,plain,
% 53.61/33.83 (nextState(constB26, constB27) <=> nextState(constB26, constB27)),
% 53.61/33.83 inference(rewrite,[status(thm)],[])).
% 53.61/33.83 tff(6159,axiom,(nextState(constB26, constB27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_26_1')).
% 53.61/33.83 tff(6160,plain,
% 53.61/33.83 (nextState(constB26, constB27)),
% 53.61/33.83 inference(modus_ponens,[status(thm)],[6159, 6158])).
% 53.61/33.83 tff(6161,plain,
% 53.61/33.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27)))),
% 53.61/33.83 inference(rewrite,[status(thm)],[])).
% 53.61/33.83 tff(6162,plain,
% 53.61/33.83 (((~nextState(constB26, constB27)) | (~v101(constB27)) | v1(constB27)) <=> (v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27)))),
% 53.61/33.83 inference(rewrite,[status(thm)],[])).
% 53.61/33.83 tff(6163,plain,
% 53.61/33.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB26, constB27)) | (~v101(constB27)) | v1(constB27))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27))))),
% 53.61/33.83 inference(monotonicity,[status(thm)],[6162])).
% 53.61/33.83 tff(6164,plain,
% 53.61/33.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB26, constB27)) | (~v101(constB27)) | v1(constB27))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27)))),
% 53.61/33.83 inference(transitivity,[status(thm)],[6163, 6161])).
% 53.61/33.83 tff(6165,plain,
% 53.61/33.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB26, constB27)) | (~v101(constB27)) | v1(constB27))),
% 53.61/33.83 inference(quant_inst,[status(thm)],[])).
% 53.61/33.83 tff(6166,plain,
% 53.61/33.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB27) | (~nextState(constB26, constB27)) | (~v101(constB27))),
% 53.61/33.83 inference(modus_ponens,[status(thm)],[6165, 6164])).
% 53.61/33.83 tff(6167,plain,
% 53.61/33.83 (~v101(constB27)),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[6166, 873, 6160, 6157])).
% 53.61/33.83 tff(6168,plain,
% 53.61/33.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB26, constB27)) | v101(constB27) | (~v100(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB26, constB27)) | v101(constB27) | (~v100(constB27)))),
% 53.61/33.83 inference(rewrite,[status(thm)],[])).
% 53.61/33.83 tff(6169,plain,
% 53.61/33.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB26, constB27)) | v101(constB27) | (~v100(constB27)))),
% 53.61/33.83 inference(quant_inst,[status(thm)],[])).
% 53.61/33.83 tff(6170,plain,
% 53.61/33.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB26, constB27)) | v101(constB27) | (~v100(constB27))),
% 53.61/33.83 inference(modus_ponens,[status(thm)],[6169, 6168])).
% 53.61/33.83 tff(6171,plain,
% 53.61/33.83 (v101(constB27) | (~v100(constB27))),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[6170, 890, 6160])).
% 53.61/33.83 tff(6172,plain,
% 53.61/33.83 (~v100(constB27)),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[6171, 6167])).
% 53.61/33.83 tff(6173,plain,
% 53.61/33.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB26, 2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB26, 2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 2)))),
% 53.61/33.83 inference(rewrite,[status(thm)],[])).
% 53.61/33.83 tff(6174,plain,
% 53.61/33.83 (((~nextState(constB26, constB27)) | v90(constB26, 2) | v100(constB27) | (~v90(constB27, 2))) <=> (v90(constB26, 2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 2)))),
% 53.61/33.83 inference(rewrite,[status(thm)],[])).
% 53.61/33.83 tff(6175,plain,
% 53.61/33.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB26, constB27)) | v90(constB26, 2) | v100(constB27) | (~v90(constB27, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB26, 2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 2))))),
% 53.61/33.83 inference(monotonicity,[status(thm)],[6174])).
% 53.61/33.83 tff(6176,plain,
% 53.61/33.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB26, constB27)) | v90(constB26, 2) | v100(constB27) | (~v90(constB27, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB26, 2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 2)))),
% 53.61/33.83 inference(transitivity,[status(thm)],[6175, 6173])).
% 53.61/33.83 tff(6177,plain,
% 53.61/33.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB26, constB27)) | v90(constB26, 2) | v100(constB27) | (~v90(constB27, 2)))),
% 53.61/33.83 inference(quant_inst,[status(thm)],[])).
% 53.61/33.83 tff(6178,plain,
% 53.61/33.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB26, 2) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 2))),
% 53.61/33.83 inference(modus_ponens,[status(thm)],[6177, 6176])).
% 53.61/33.83 tff(6179,plain,
% 53.61/33.83 (v90(constB26, 2) | v100(constB27) | (~v90(constB27, 2))),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[6178, 905, 6160])).
% 53.61/33.83 tff(6180,plain,
% 53.61/33.83 (v90(constB26, 2) | (~v90(constB27, 2))),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[6179, 6172])).
% 53.61/33.83 tff(6181,plain,
% 53.61/33.83 (~v90(constB27, 2)),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[6180, 6154])).
% 53.61/33.83 tff(6182,assumption,(~v116(constB27)), introduced(assumption)).
% 53.61/33.83 tff(6183,plain,
% 53.61/33.83 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB27) | (~v117(constB27)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB27) | (~v117(constB27)))),
% 53.61/33.83 inference(rewrite,[status(thm)],[])).
% 53.61/33.83 tff(6184,plain,
% 53.61/33.83 (((~v117(constB27)) | v116(constB27)) <=> (v116(constB27) | (~v117(constB27)))),
% 53.61/33.83 inference(rewrite,[status(thm)],[])).
% 53.61/33.83 tff(6185,plain,
% 53.61/33.83 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB27)) | v116(constB27))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB27) | (~v117(constB27))))),
% 53.61/33.83 inference(monotonicity,[status(thm)],[6184])).
% 53.61/33.83 tff(6186,plain,
% 53.61/33.83 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB27)) | v116(constB27))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB27) | (~v117(constB27)))),
% 53.61/33.83 inference(transitivity,[status(thm)],[6185, 6183])).
% 53.61/33.83 tff(6187,plain,
% 53.61/33.83 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB27)) | v116(constB27))),
% 53.61/33.83 inference(quant_inst,[status(thm)],[])).
% 53.61/33.83 tff(6188,plain,
% 53.61/33.83 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB27) | (~v117(constB27))),
% 53.61/33.83 inference(modus_ponens,[status(thm)],[6187, 6186])).
% 53.61/33.83 tff(6189,plain,
% 53.61/33.83 (~v117(constB27)),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[6188, 1007, 6182])).
% 53.61/33.83 tff(6190,plain,
% 53.61/33.83 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB27) | (~v121(constB27)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB27) | (~v121(constB27)))),
% 53.61/33.83 inference(rewrite,[status(thm)],[])).
% 53.61/33.83 tff(6191,plain,
% 53.61/33.83 (((~v121(constB27)) | v117(constB27)) <=> (v117(constB27) | (~v121(constB27)))),
% 53.61/33.83 inference(rewrite,[status(thm)],[])).
% 53.61/33.83 tff(6192,plain,
% 53.61/33.83 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB27)) | v117(constB27))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB27) | (~v121(constB27))))),
% 53.61/33.83 inference(monotonicity,[status(thm)],[6191])).
% 53.61/33.83 tff(6193,plain,
% 53.61/33.83 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB27)) | v117(constB27))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB27) | (~v121(constB27)))),
% 53.61/33.83 inference(transitivity,[status(thm)],[6192, 6190])).
% 53.61/33.83 tff(6194,plain,
% 53.61/33.83 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB27)) | v117(constB27))),
% 53.61/33.83 inference(quant_inst,[status(thm)],[])).
% 53.61/33.83 tff(6195,plain,
% 53.61/33.83 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB27) | (~v121(constB27))),
% 53.61/33.83 inference(modus_ponens,[status(thm)],[6194, 6193])).
% 53.61/33.83 tff(6196,plain,
% 53.61/33.83 (~v121(constB27)),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[6195, 1742, 6189])).
% 53.61/33.83 tff(6197,plain,
% 53.61/33.83 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB27) | (~v118(constB27)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB27) | (~v118(constB27)))),
% 53.61/33.83 inference(rewrite,[status(thm)],[])).
% 53.61/33.83 tff(6198,plain,
% 53.61/33.83 (((~v118(constB27)) | v117(constB27)) <=> (v117(constB27) | (~v118(constB27)))),
% 53.61/33.83 inference(rewrite,[status(thm)],[])).
% 53.61/33.83 tff(6199,plain,
% 53.61/33.83 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB27)) | v117(constB27))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB27) | (~v118(constB27))))),
% 53.61/33.83 inference(monotonicity,[status(thm)],[6198])).
% 53.61/33.83 tff(6200,plain,
% 53.61/33.83 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB27)) | v117(constB27))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB27) | (~v118(constB27)))),
% 53.61/33.83 inference(transitivity,[status(thm)],[6199, 6197])).
% 53.61/33.83 tff(6201,plain,
% 53.61/33.83 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB27)) | v117(constB27))),
% 53.61/33.83 inference(quant_inst,[status(thm)],[])).
% 53.61/33.83 tff(6202,plain,
% 53.61/33.83 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB27) | (~v118(constB27))),
% 53.61/33.83 inference(modus_ponens,[status(thm)],[6201, 6200])).
% 53.61/33.83 tff(6203,plain,
% 53.61/33.83 (~v118(constB27)),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[6202, 993, 6189])).
% 53.61/33.83 tff(6204,plain,
% 53.61/33.83 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB27)) | v118(constB27))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB27)) | v118(constB27))),
% 53.61/33.83 inference(rewrite,[status(thm)],[])).
% 53.61/33.83 tff(6205,plain,
% 53.61/33.83 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB27)) | v118(constB27))),
% 53.61/33.83 inference(quant_inst,[status(thm)],[])).
% 53.61/33.83 tff(6206,plain,
% 53.61/33.83 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB27)) | v118(constB27)),
% 53.61/33.83 inference(modus_ponens,[status(thm)],[6205, 6204])).
% 53.61/33.83 tff(6207,plain,
% 53.61/33.83 (~v120(constB27)),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[6206, 1425, 6203])).
% 53.61/33.83 tff(6208,assumption,(~v90(constB27, 2)), introduced(assumption)).
% 53.61/33.83 tff(6209,plain,
% 53.61/33.83 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | ((~v123(constB27)) | v90(constB27, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | (~v123(constB27)) | v90(constB27, 2))),
% 53.61/33.83 inference(rewrite,[status(thm)],[])).
% 53.61/33.83 tff(6210,plain,
% 53.61/33.83 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | ((~v123(constB27)) | v90(constB27, 2))),
% 53.61/33.83 inference(quant_inst,[status(thm)],[])).
% 53.61/33.83 tff(6211,plain,
% 53.61/33.83 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | (~v123(constB27)) | v90(constB27, 2)),
% 53.61/33.83 inference(modus_ponens,[status(thm)],[6210, 6209])).
% 53.61/33.83 tff(6212,plain,
% 53.61/33.83 (~v123(constB27)),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[6211, 3763, 6208])).
% 53.61/33.83 tff(6213,plain,
% 53.61/33.83 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | ((~v124(constB27)) | v90(constB27, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | (~v124(constB27)) | v90(constB27, 2))),
% 53.61/33.83 inference(rewrite,[status(thm)],[])).
% 53.61/33.83 tff(6214,plain,
% 53.61/33.83 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | ((~v124(constB27)) | v90(constB27, 2))),
% 53.61/33.83 inference(quant_inst,[status(thm)],[])).
% 53.61/33.83 tff(6215,plain,
% 53.61/33.83 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | (~v124(constB27)) | v90(constB27, 2)),
% 53.61/33.83 inference(modus_ponens,[status(thm)],[6214, 6213])).
% 53.61/33.83 tff(6216,plain,
% 53.61/33.83 (~v124(constB27)),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[6215, 3774, 6208])).
% 53.61/33.83 tff(6217,plain,
% 53.61/33.83 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB27) | (~v119(constB27)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB27) | (~v119(constB27)))),
% 53.61/33.83 inference(rewrite,[status(thm)],[])).
% 53.61/33.83 tff(6218,plain,
% 53.61/33.83 (((~v119(constB27)) | v118(constB27)) <=> (v118(constB27) | (~v119(constB27)))),
% 53.61/33.83 inference(rewrite,[status(thm)],[])).
% 53.61/33.83 tff(6219,plain,
% 53.61/33.83 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB27)) | v118(constB27))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB27) | (~v119(constB27))))),
% 53.61/33.83 inference(monotonicity,[status(thm)],[6218])).
% 53.61/33.83 tff(6220,plain,
% 53.61/33.83 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB27)) | v118(constB27))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB27) | (~v119(constB27)))),
% 53.61/33.83 inference(transitivity,[status(thm)],[6219, 6217])).
% 53.61/33.83 tff(6221,plain,
% 53.61/33.83 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB27)) | v118(constB27))),
% 53.61/33.83 inference(quant_inst,[status(thm)],[])).
% 53.61/33.83 tff(6222,plain,
% 53.61/33.83 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB27) | (~v119(constB27))),
% 53.61/33.83 inference(modus_ponens,[status(thm)],[6221, 6220])).
% 53.61/33.83 tff(6223,plain,
% 53.61/33.83 (~v119(constB27)),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[6222, 982, 6203])).
% 53.61/33.83 tff(6224,assumption,(~v90(constB27, 1)), introduced(assumption)).
% 53.61/33.83 tff(6225,assumption,(~v123(constB27)), introduced(assumption)).
% 53.61/33.83 tff(6226,assumption,(~v119(constB27)), introduced(assumption)).
% 53.61/33.83 tff(6227,assumption,(~v90(constB27, 0)), introduced(assumption)).
% 53.61/33.83 tff(6228,plain,
% 53.61/33.83 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB27, 0) | v90(constB27, 1) | (~v90(constB27, 2)) | v123(constB27))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB27, 0) | v90(constB27, 1) | (~v90(constB27, 2)) | v123(constB27))),
% 53.61/33.83 inference(rewrite,[status(thm)],[])).
% 53.61/33.83 tff(6229,plain,
% 53.61/33.83 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB27, 0) | v90(constB27, 1) | (~v90(constB27, 2)) | v123(constB27))),
% 53.61/33.83 inference(quant_inst,[status(thm)],[])).
% 53.61/33.83 tff(6230,plain,
% 53.61/33.83 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB27, 0) | v90(constB27, 1) | (~v90(constB27, 2)) | v123(constB27)),
% 53.61/33.83 inference(modus_ponens,[status(thm)],[6229, 6228])).
% 53.61/33.83 tff(6231,plain,
% 53.61/33.83 (v90(constB27, 0) | v90(constB27, 1) | (~v90(constB27, 2))),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[6230, 2308, 6225])).
% 53.61/33.83 tff(6232,plain,
% 53.61/33.83 (~v90(constB27, 2)),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[6231, 6227, 6224])).
% 53.61/33.83 tff(6233,plain,
% 53.61/33.83 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB27, 0) | v90(constB27, 1) | v90(constB27, 2) | v119(constB27))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB27, 0) | v90(constB27, 1) | v90(constB27, 2) | v119(constB27))),
% 53.61/33.83 inference(rewrite,[status(thm)],[])).
% 53.61/33.83 tff(6234,plain,
% 53.61/33.83 ((v90(constB27, 0) | v119(constB27) | v90(constB27, 1) | v90(constB27, 2)) <=> (v90(constB27, 0) | v90(constB27, 1) | v90(constB27, 2) | v119(constB27))),
% 53.61/33.83 inference(rewrite,[status(thm)],[])).
% 53.61/33.83 tff(6235,plain,
% 53.61/33.83 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB27, 0) | v119(constB27) | v90(constB27, 1) | v90(constB27, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB27, 0) | v90(constB27, 1) | v90(constB27, 2) | v119(constB27)))),
% 53.61/33.83 inference(monotonicity,[status(thm)],[6234])).
% 53.61/33.83 tff(6236,plain,
% 53.61/33.83 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB27, 0) | v119(constB27) | v90(constB27, 1) | v90(constB27, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB27, 0) | v90(constB27, 1) | v90(constB27, 2) | v119(constB27))),
% 53.61/33.83 inference(transitivity,[status(thm)],[6235, 6233])).
% 53.61/33.83 tff(6237,plain,
% 53.61/33.83 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB27, 0) | v119(constB27) | v90(constB27, 1) | v90(constB27, 2))),
% 53.61/33.83 inference(quant_inst,[status(thm)],[])).
% 53.61/33.83 tff(6238,plain,
% 53.61/33.83 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB27, 0) | v90(constB27, 1) | v90(constB27, 2) | v119(constB27)),
% 53.61/33.83 inference(modus_ponens,[status(thm)],[6237, 6236])).
% 53.61/33.83 tff(6239,plain,
% 53.61/33.83 (v90(constB27, 0) | v90(constB27, 1) | v90(constB27, 2)),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[6238, 968, 6226])).
% 53.61/33.83 tff(6240,plain,
% 53.61/33.83 ($false),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[6239, 6232, 6227, 6224])).
% 53.61/33.83 tff(6241,plain,(v90(constB27, 0) | v90(constB27, 1) | v119(constB27) | v123(constB27)), inference(lemma,lemma(discharge,[]))).
% 53.61/33.83 tff(6242,plain,
% 53.61/33.83 (v90(constB27, 0)),
% 53.61/33.83 inference(unit_resolution,[status(thm)],[6241, 6224, 6226, 6225])).
% 53.61/33.83 tff(6243,assumption,(~v124(constB27)), introduced(assumption)).
% 53.61/33.84 tff(6244,plain,
% 53.61/33.84 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB27, 0)) | v90(constB27, 1) | (~v90(constB27, 2)) | v124(constB27))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB27, 0)) | v90(constB27, 1) | (~v90(constB27, 2)) | v124(constB27))),
% 53.61/33.84 inference(rewrite,[status(thm)],[])).
% 53.61/33.84 tff(6245,plain,
% 53.61/33.84 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB27, 0)) | v90(constB27, 1) | (~v90(constB27, 2)) | v124(constB27))),
% 53.61/33.84 inference(quant_inst,[status(thm)],[])).
% 53.61/33.84 tff(6246,plain,
% 53.61/33.84 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB27, 0)) | v90(constB27, 1) | (~v90(constB27, 2)) | v124(constB27)),
% 53.61/33.84 inference(modus_ponens,[status(thm)],[6245, 6244])).
% 53.61/33.84 tff(6247,plain,
% 53.61/33.84 ((~v90(constB27, 0)) | v90(constB27, 1) | (~v90(constB27, 2))),
% 53.61/33.84 inference(unit_resolution,[status(thm)],[6246, 2663, 6243])).
% 53.61/33.84 tff(6248,plain,
% 53.61/33.84 (~v90(constB27, 2)),
% 53.61/33.84 inference(unit_resolution,[status(thm)],[6247, 6242, 6224])).
% 53.61/33.84 tff(6249,assumption,(~v120(constB27)), introduced(assumption)).
% 53.61/33.84 tff(6250,plain,
% 53.61/33.84 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB27, 0)) | v90(constB27, 1) | v90(constB27, 2) | v120(constB27))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB27, 0)) | v90(constB27, 1) | v90(constB27, 2) | v120(constB27))),
% 53.61/33.84 inference(rewrite,[status(thm)],[])).
% 53.61/33.84 tff(6251,plain,
% 53.61/33.84 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB27, 0)) | v90(constB27, 1) | v90(constB27, 2) | v120(constB27))),
% 53.61/33.84 inference(quant_inst,[status(thm)],[])).
% 53.61/33.84 tff(6252,plain,
% 53.61/33.84 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB27, 0)) | v90(constB27, 1) | v90(constB27, 2) | v120(constB27)),
% 53.61/33.84 inference(modus_ponens,[status(thm)],[6251, 6250])).
% 53.61/33.84 tff(6253,plain,
% 53.61/33.84 ((~v90(constB27, 0)) | v90(constB27, 1) | v90(constB27, 2)),
% 53.61/33.84 inference(unit_resolution,[status(thm)],[6252, 1414, 6249])).
% 53.61/33.84 tff(6254,plain,
% 53.61/33.84 ($false),
% 53.61/33.84 inference(unit_resolution,[status(thm)],[6253, 6248, 6242, 6224])).
% 53.61/33.84 tff(6255,plain,(v90(constB27, 1) | v120(constB27) | v124(constB27) | v119(constB27) | v123(constB27)), inference(lemma,lemma(discharge,[]))).
% 53.61/33.84 tff(6256,plain,
% 53.61/33.84 (v90(constB27, 1)),
% 53.61/33.84 inference(unit_resolution,[status(thm)],[6255, 6223, 6216, 6212, 6207])).
% 53.61/33.84 tff(6257,plain,
% 53.61/33.84 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB27)) | v116(constB27))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB27)) | v116(constB27))),
% 53.61/33.84 inference(rewrite,[status(thm)],[])).
% 53.61/33.84 tff(6258,plain,
% 53.61/33.84 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB27)) | v116(constB27))),
% 53.67/33.84 inference(quant_inst,[status(thm)],[])).
% 53.67/33.84 tff(6259,plain,
% 53.67/33.84 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB27)) | v116(constB27)),
% 53.67/33.84 inference(modus_ponens,[status(thm)],[6258, 6257])).
% 53.67/33.84 tff(6260,plain,
% 53.67/33.84 (~v122(constB27)),
% 53.67/33.84 inference(unit_resolution,[status(thm)],[6259, 2120, 6182])).
% 53.67/33.84 tff(6261,plain,
% 53.67/33.84 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB27, 0)) | (~v90(constB27, 1)) | v90(constB27, 2) | v122(constB27))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB27, 0)) | (~v90(constB27, 1)) | v90(constB27, 2) | v122(constB27))),
% 53.67/33.84 inference(rewrite,[status(thm)],[])).
% 53.67/33.84 tff(6262,plain,
% 53.67/33.84 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB27, 0)) | (~v90(constB27, 1)) | v90(constB27, 2) | v122(constB27))),
% 53.67/33.84 inference(quant_inst,[status(thm)],[])).
% 53.67/33.84 tff(6263,plain,
% 53.67/33.84 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB27, 0)) | (~v90(constB27, 1)) | v90(constB27, 2) | v122(constB27)),
% 53.67/33.84 inference(modus_ponens,[status(thm)],[6262, 6261])).
% 53.67/33.84 tff(6264,plain,
% 53.67/33.84 ((~v90(constB27, 0)) | (~v90(constB27, 1)) | v122(constB27)),
% 53.67/33.84 inference(unit_resolution,[status(thm)],[6263, 1956, 6208])).
% 53.67/33.84 tff(6265,plain,
% 53.67/33.84 (~v90(constB27, 0)),
% 53.67/33.84 inference(unit_resolution,[status(thm)],[6264, 6256, 6260])).
% 53.67/33.84 tff(6266,plain,
% 53.67/33.84 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB27, 0) | (~v90(constB27, 1)) | v90(constB27, 2) | v121(constB27))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB27, 0) | (~v90(constB27, 1)) | v90(constB27, 2) | v121(constB27))),
% 53.67/33.84 inference(rewrite,[status(thm)],[])).
% 53.67/33.84 tff(6267,plain,
% 53.67/33.84 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB27, 0) | (~v90(constB27, 1)) | v90(constB27, 2) | v121(constB27))),
% 53.67/33.84 inference(quant_inst,[status(thm)],[])).
% 53.67/33.84 tff(6268,plain,
% 53.67/33.84 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB27, 0) | (~v90(constB27, 1)) | v90(constB27, 2) | v121(constB27)),
% 53.67/33.84 inference(modus_ponens,[status(thm)],[6267, 6266])).
% 53.67/33.84 tff(6269,plain,
% 53.67/33.84 (v90(constB27, 0) | (~v90(constB27, 1)) | v121(constB27)),
% 53.67/33.84 inference(unit_resolution,[status(thm)],[6268, 1731, 6208])).
% 53.67/33.84 tff(6270,plain,
% 53.67/33.84 ($false),
% 53.67/33.84 inference(unit_resolution,[status(thm)],[6269, 6265, 6256, 6196])).
% 53.67/33.84 tff(6271,plain,(v116(constB27) | v90(constB27, 2)), inference(lemma,lemma(discharge,[]))).
% 53.67/33.84 tff(6272,plain,
% 53.67/33.84 (v116(constB27)),
% 53.67/33.84 inference(unit_resolution,[status(thm)],[6271, 6181])).
% 53.67/33.84 tff(6273,plain,
% 53.67/33.84 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB27) | (~v116(constB27)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB27) | (~v116(constB27)))),
% 53.67/33.84 inference(rewrite,[status(thm)],[])).
% 53.67/33.84 tff(6274,plain,
% 53.67/33.84 (((~v116(constB27)) | v115(constB27)) <=> (v115(constB27) | (~v116(constB27)))),
% 53.67/33.84 inference(rewrite,[status(thm)],[])).
% 53.67/33.84 tff(6275,plain,
% 53.67/33.84 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB27)) | v115(constB27))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB27) | (~v116(constB27))))),
% 53.67/33.84 inference(monotonicity,[status(thm)],[6274])).
% 53.67/33.84 tff(6276,plain,
% 53.67/33.84 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB27)) | v115(constB27))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB27) | (~v116(constB27)))),
% 53.67/33.84 inference(transitivity,[status(thm)],[6275, 6273])).
% 53.67/33.84 tff(6277,plain,
% 53.67/33.84 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB27)) | v115(constB27))),
% 53.67/33.84 inference(quant_inst,[status(thm)],[])).
% 53.67/33.84 tff(6278,plain,
% 53.67/33.84 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB27) | (~v116(constB27))),
% 53.67/33.84 inference(modus_ponens,[status(thm)],[6277, 6276])).
% 53.67/33.84 tff(6279,plain,
% 53.67/33.84 (v115(constB27)),
% 53.67/33.84 inference(unit_resolution,[status(thm)],[6278, 1021, 6272])).
% 53.67/33.84 tff(6280,plain,
% 53.67/33.84 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB27) | (~v115(constB27)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB27) | (~v115(constB27)))),
% 53.67/33.84 inference(rewrite,[status(thm)],[])).
% 53.67/33.84 tff(6281,plain,
% 53.67/33.84 (((~v115(constB27)) | v114(constB27)) <=> (v114(constB27) | (~v115(constB27)))),
% 53.67/33.84 inference(rewrite,[status(thm)],[])).
% 53.67/33.84 tff(6282,plain,
% 53.67/33.84 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB27)) | v114(constB27))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB27) | (~v115(constB27))))),
% 53.67/33.84 inference(monotonicity,[status(thm)],[6281])).
% 53.67/33.84 tff(6283,plain,
% 53.67/33.84 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB27)) | v114(constB27))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB27) | (~v115(constB27)))),
% 53.67/33.84 inference(transitivity,[status(thm)],[6282, 6280])).
% 53.67/33.84 tff(6284,plain,
% 53.67/33.84 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB27)) | v114(constB27))),
% 53.67/33.84 inference(quant_inst,[status(thm)],[])).
% 53.67/33.84 tff(6285,plain,
% 53.67/33.84 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB27) | (~v115(constB27))),
% 53.67/33.84 inference(modus_ponens,[status(thm)],[6284, 6283])).
% 53.67/33.84 tff(6286,plain,
% 53.67/33.84 (v114(constB27)),
% 53.67/33.84 inference(unit_resolution,[status(thm)],[6285, 1035, 6279])).
% 53.67/33.84 tff(6287,plain,
% 53.67/33.84 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB27)) | v113(constB27))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB27)) | v113(constB27))),
% 53.67/33.84 inference(rewrite,[status(thm)],[])).
% 53.67/33.84 tff(6288,plain,
% 53.67/33.84 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB27)) | v113(constB27))),
% 53.67/33.84 inference(quant_inst,[status(thm)],[])).
% 53.67/33.84 tff(6289,plain,
% 53.67/33.84 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB27)) | v113(constB27)),
% 53.67/33.84 inference(modus_ponens,[status(thm)],[6288, 6287])).
% 53.67/33.84 tff(6290,plain,
% 53.67/33.84 (v113(constB27)),
% 53.67/33.84 inference(unit_resolution,[status(thm)],[6289, 1049, 6286])).
% 53.67/33.84 tff(6291,assumption,(v26(constB27)), introduced(assumption)).
% 53.67/33.84 tff(6292,plain,
% 53.67/33.84 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB27))),
% 53.67/33.84 inference(quant_inst,[status(thm)],[])).
% 53.67/33.84 tff(6293,plain,
% 53.67/33.84 ($false),
% 53.67/33.84 inference(unit_resolution,[status(thm)],[6292, 828, 6291])).
% 53.67/33.84 tff(6294,plain,(~v26(constB27)), inference(lemma,lemma(discharge,[]))).
% 53.67/33.84 tff(6295,plain,
% 53.67/33.84 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB27) | v112(constB27) | (~v113(constB27)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB27) | v112(constB27) | (~v113(constB27)))),
% 53.67/33.84 inference(rewrite,[status(thm)],[])).
% 53.67/33.84 tff(6296,plain,
% 53.67/33.84 ((v26(constB27) | (~v113(constB27)) | v112(constB27)) <=> (v26(constB27) | v112(constB27) | (~v113(constB27)))),
% 53.67/33.84 inference(rewrite,[status(thm)],[])).
% 53.67/33.84 tff(6297,plain,
% 53.67/33.84 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB27) | (~v113(constB27)) | v112(constB27))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB27) | v112(constB27) | (~v113(constB27))))),
% 53.67/33.84 inference(monotonicity,[status(thm)],[6296])).
% 53.67/33.84 tff(6298,plain,
% 53.67/33.84 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB27) | (~v113(constB27)) | v112(constB27))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB27) | v112(constB27) | (~v113(constB27)))),
% 53.67/33.84 inference(transitivity,[status(thm)],[6297, 6295])).
% 53.67/33.84 tff(6299,plain,
% 53.67/33.84 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB27) | (~v113(constB27)) | v112(constB27))),
% 53.67/33.84 inference(quant_inst,[status(thm)],[])).
% 53.67/33.84 tff(6300,plain,
% 53.67/33.84 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB27) | v112(constB27) | (~v113(constB27))),
% 53.67/33.84 inference(modus_ponens,[status(thm)],[6299, 6298])).
% 53.67/33.84 tff(6301,plain,
% 53.67/33.84 (v112(constB27) | (~v113(constB27))),
% 53.67/33.84 inference(unit_resolution,[status(thm)],[6300, 1063, 6294])).
% 53.67/33.84 tff(6302,plain,
% 53.67/33.84 (v112(constB27)),
% 53.67/33.84 inference(unit_resolution,[status(thm)],[6301, 6290])).
% 53.67/33.84 tff(6303,plain,
% 53.67/33.84 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB27) | (~v112(constB27)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB27) | (~v112(constB27)))),
% 53.67/33.84 inference(rewrite,[status(thm)],[])).
% 53.67/33.84 tff(6304,plain,
% 53.67/33.84 (((~v112(constB27)) | v108(constB27)) <=> (v108(constB27) | (~v112(constB27)))),
% 53.67/33.84 inference(rewrite,[status(thm)],[])).
% 53.67/33.84 tff(6305,plain,
% 53.67/33.84 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB27)) | v108(constB27))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB27) | (~v112(constB27))))),
% 53.67/33.84 inference(monotonicity,[status(thm)],[6304])).
% 53.67/33.84 tff(6306,plain,
% 53.67/33.84 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB27)) | v108(constB27))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB27) | (~v112(constB27)))),
% 53.67/33.84 inference(transitivity,[status(thm)],[6305, 6303])).
% 53.67/33.84 tff(6307,plain,
% 53.67/33.84 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB27)) | v108(constB27))),
% 53.67/33.84 inference(quant_inst,[status(thm)],[])).
% 53.67/33.84 tff(6308,plain,
% 53.67/33.84 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB27) | (~v112(constB27))),
% 53.67/33.84 inference(modus_ponens,[status(thm)],[6307, 6306])).
% 53.67/33.84 tff(6309,plain,
% 53.67/33.84 (v108(constB27)),
% 53.67/33.84 inference(unit_resolution,[status(thm)],[6308, 1075, 6302])).
% 53.67/33.84 tff(6310,plain,
% 53.67/33.84 (nextState(constB27, constB28) <=> nextState(constB27, constB28)),
% 53.67/33.84 inference(rewrite,[status(thm)],[])).
% 53.67/33.84 tff(6311,axiom,(nextState(constB27, constB28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_27_1')).
% 53.67/33.84 tff(6312,plain,
% 53.67/33.84 (nextState(constB27, constB28)),
% 53.67/33.84 inference(modus_ponens,[status(thm)],[6311, 6310])).
% 53.67/33.84 tff(6313,plain,
% 53.67/33.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27)))),
% 53.67/33.84 inference(rewrite,[status(thm)],[])).
% 53.67/33.84 tff(6314,plain,
% 53.67/33.84 (((~nextState(constB27, constB28)) | (~v108(constB27)) | v110(constB28)) <=> ((~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27)))),
% 53.67/33.84 inference(rewrite,[status(thm)],[])).
% 53.67/33.84 tff(6315,plain,
% 53.67/33.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB27, constB28)) | (~v108(constB27)) | v110(constB28))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27))))),
% 53.67/33.84 inference(monotonicity,[status(thm)],[6314])).
% 53.67/33.84 tff(6316,plain,
% 53.67/33.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB27, constB28)) | (~v108(constB27)) | v110(constB28))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27)))),
% 53.67/33.84 inference(transitivity,[status(thm)],[6315, 6313])).
% 53.67/33.84 tff(6317,plain,
% 53.67/33.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB27, constB28)) | (~v108(constB27)) | v110(constB28))),
% 53.67/33.84 inference(quant_inst,[status(thm)],[])).
% 53.67/33.84 tff(6318,plain,
% 53.67/33.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB27, constB28)) | v110(constB28) | (~v108(constB27))),
% 53.67/33.84 inference(modus_ponens,[status(thm)],[6317, 6316])).
% 53.67/33.84 tff(6319,plain,
% 53.67/33.84 (v110(constB28) | (~v108(constB27))),
% 53.67/33.84 inference(unit_resolution,[status(thm)],[6318, 1095, 6312])).
% 53.67/33.84 tff(6320,plain,
% 53.67/33.84 (v110(constB28)),
% 53.67/33.84 inference(unit_resolution,[status(thm)],[6319, 6309])).
% 53.67/33.84 tff(6321,plain,
% 53.67/33.84 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB27) | (~nextState(constB27, constB28)) | (~v104(constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB27) | (~nextState(constB27, constB28)) | (~v104(constB28)))),
% 53.67/33.84 inference(rewrite,[status(thm)],[])).
% 53.67/33.84 tff(6322,plain,
% 53.67/33.84 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB27) | (~nextState(constB27, constB28)) | (~v104(constB28)))),
% 53.67/33.84 inference(quant_inst,[status(thm)],[])).
% 53.67/33.84 tff(6323,plain,
% 53.67/33.84 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB27) | (~nextState(constB27, constB28)) | (~v104(constB28))),
% 53.67/33.84 inference(modus_ponens,[status(thm)],[6322, 6321])).
% 53.67/33.84 tff(6324,plain,
% 53.67/33.84 (~v104(constB28)),
% 53.67/33.84 inference(unit_resolution,[status(thm)],[6323, 1113, 6312, 6157])).
% 53.67/33.84 tff(6325,plain,
% 53.67/33.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB27, constB28)) | v102(constB28) | v104(constB28))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB27, constB28)) | v102(constB28) | v104(constB28))),
% 53.67/33.84 inference(rewrite,[status(thm)],[])).
% 53.67/33.84 tff(6326,plain,
% 53.67/33.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB27, constB28)) | v102(constB28) | v104(constB28))),
% 53.67/33.84 inference(quant_inst,[status(thm)],[])).
% 53.67/33.84 tff(6327,plain,
% 53.67/33.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB27, constB28)) | v102(constB28) | v104(constB28)),
% 53.67/33.84 inference(modus_ponens,[status(thm)],[6326, 6325])).
% 53.67/33.84 tff(6328,plain,
% 53.67/33.84 (v102(constB28) | v104(constB28)),
% 53.67/33.84 inference(unit_resolution,[status(thm)],[6327, 1127, 6312])).
% 53.67/33.84 tff(6329,plain,
% 53.67/33.84 (v102(constB28)),
% 53.67/33.84 inference(unit_resolution,[status(thm)],[6328, 6324])).
% 53.67/33.84 tff(6330,plain,
% 53.67/33.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB27, constB28)) | v101(constB28) | (~v102(constB28)) | (~v1(constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB27, constB28)) | v101(constB28) | (~v102(constB28)) | (~v1(constB28)))),
% 53.67/33.84 inference(rewrite,[status(thm)],[])).
% 53.67/33.84 tff(6331,plain,
% 53.67/33.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB27, constB28)) | v101(constB28) | (~v102(constB28)) | (~v1(constB28)))),
% 53.67/33.84 inference(quant_inst,[status(thm)],[])).
% 53.67/33.84 tff(6332,plain,
% 53.67/33.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB27, constB28)) | v101(constB28) | (~v102(constB28)) | (~v1(constB28))),
% 53.67/33.84 inference(modus_ponens,[status(thm)],[6331, 6330])).
% 53.67/33.84 tff(6333,plain,
% 53.67/33.84 (v101(constB28) | (~v102(constB28))),
% 53.67/33.84 inference(unit_resolution,[status(thm)],[6332, 1145, 6312, 739])).
% 53.67/33.84 tff(6334,plain,
% 53.67/33.84 (v101(constB28)),
% 53.67/33.84 inference(unit_resolution,[status(thm)],[6333, 6329])).
% 53.67/33.84 tff(6335,plain,
% 53.67/33.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28)))),
% 53.67/33.84 inference(rewrite,[status(thm)],[])).
% 53.67/33.84 tff(6336,plain,
% 53.67/33.84 (((~nextState(constB27, constB28)) | (~v101(constB28)) | (~v110(constB28)) | v100(constB28)) <=> ((~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28)))),
% 53.67/33.84 inference(rewrite,[status(thm)],[])).
% 53.67/33.84 tff(6337,plain,
% 53.67/33.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB27, constB28)) | (~v101(constB28)) | (~v110(constB28)) | v100(constB28))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28))))),
% 53.67/33.84 inference(monotonicity,[status(thm)],[6336])).
% 53.67/33.84 tff(6338,plain,
% 53.67/33.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB27, constB28)) | (~v101(constB28)) | (~v110(constB28)) | v100(constB28))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28)))),
% 53.67/33.84 inference(transitivity,[status(thm)],[6337, 6335])).
% 53.67/33.84 tff(6339,plain,
% 53.67/33.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB27, constB28)) | (~v101(constB28)) | (~v110(constB28)) | v100(constB28))),
% 53.67/33.84 inference(quant_inst,[status(thm)],[])).
% 53.67/33.84 tff(6340,plain,
% 53.67/33.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB27, constB28)) | v100(constB28) | (~v101(constB28)) | (~v110(constB28))),
% 53.67/33.84 inference(modus_ponens,[status(thm)],[6339, 6338])).
% 53.67/33.84 tff(6341,plain,
% 53.67/33.84 (v100(constB28) | (~v101(constB28)) | (~v110(constB28))),
% 53.67/33.84 inference(unit_resolution,[status(thm)],[6340, 1160, 6312])).
% 53.67/33.84 tff(6342,plain,
% 53.67/33.84 (v100(constB28) | (~v110(constB28))),
% 53.67/33.84 inference(unit_resolution,[status(thm)],[6341, 6334])).
% 53.67/33.84 tff(6343,plain,
% 53.67/33.84 (v100(constB28)),
% 53.67/33.84 inference(unit_resolution,[status(thm)],[6342, 6320])).
% 53.67/33.84 tff(6344,plain,
% 53.67/33.84 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB25)) | (~v90(constB25, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB25)) | (~v90(constB25, 1)))),
% 53.67/33.84 inference(rewrite,[status(thm)],[])).
% 53.67/33.84 tff(6345,plain,
% 53.67/33.84 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB25)) | (~v90(constB25, 1)))),
% 53.67/33.84 inference(quant_inst,[status(thm)],[])).
% 53.67/33.84 tff(6346,plain,
% 53.67/33.84 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB25)) | (~v90(constB25, 1))),
% 53.67/33.84 inference(modus_ponens,[status(thm)],[6345, 6344])).
% 53.67/33.84 tff(6347,plain,
% 53.67/33.84 (~v119(constB25)),
% 53.67/33.84 inference(unit_resolution,[status(thm)],[6346, 2868, 4677])).
% 53.67/33.84 tff(6348,plain,
% 53.67/33.84 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB25)) | (~v90(constB25, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB25)) | (~v90(constB25, 2)))),
% 53.67/33.84 inference(rewrite,[status(thm)],[])).
% 53.67/33.84 tff(6349,plain,
% 53.67/33.84 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB25)) | (~v90(constB25, 2)))),
% 53.67/33.84 inference(quant_inst,[status(thm)],[])).
% 53.67/33.84 tff(6350,plain,
% 53.67/33.84 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB25)) | (~v90(constB25, 2))),
% 53.67/33.84 inference(modus_ponens,[status(thm)],[6349, 6348])).
% 53.67/33.84 tff(6351,plain,
% 53.67/33.84 (~v121(constB25)),
% 53.67/33.84 inference(unit_resolution,[status(thm)],[6350, 2857, 4642])).
% 53.67/33.84 tff(6352,plain,
% 53.67/33.84 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB25)) | (~v90(constB25, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB25)) | (~v90(constB25, 1)))),
% 53.67/33.84 inference(rewrite,[status(thm)],[])).
% 53.67/33.84 tff(6353,plain,
% 53.67/33.84 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB25)) | (~v90(constB25, 1)))),
% 53.67/33.84 inference(quant_inst,[status(thm)],[])).
% 53.67/33.84 tff(6354,plain,
% 53.67/33.84 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB25)) | (~v90(constB25, 1))),
% 53.67/33.84 inference(modus_ponens,[status(thm)],[6353, 6352])).
% 53.67/33.84 tff(6355,plain,
% 53.67/33.84 (~v120(constB25)),
% 53.67/33.84 inference(unit_resolution,[status(thm)],[6354, 2846, 4677])).
% 53.67/33.84 tff(6356,plain,
% 53.67/33.84 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, 1)))),
% 53.67/33.84 inference(rewrite,[status(thm)],[])).
% 53.67/33.84 tff(6357,plain,
% 53.67/33.84 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, 1)))),
% 53.67/33.84 inference(quant_inst,[status(thm)],[])).
% 53.67/33.84 tff(6358,plain,
% 53.67/33.84 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB25) | v120(constB25) | v121(constB25) | v122(constB25) | v123(constB25) | v124(constB25) | (~v130(constB25, 1))),
% 53.67/33.84 inference(modus_ponens,[status(thm)],[6357, 6356])).
% 53.67/33.84 tff(6359,plain,
% 53.67/33.84 (~v130(constB25, 1)),
% 53.67/33.84 inference(unit_resolution,[status(thm)],[6358, 3309, 4685, 4681, 4646, 6355, 6351, 6347])).
% 53.67/33.84 tff(6360,plain,
% 53.67/33.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB25, 1)) | v26(constB25) | v130(constB25, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB25, 1)) | v26(constB25) | v130(constB25, 1))),
% 53.67/33.84 inference(rewrite,[status(thm)],[])).
% 53.67/33.84 tff(6361,plain,
% 53.67/33.84 ((v26(constB25) | v130(constB25, 1) | (~v127(constB25, 1))) <=> ((~v127(constB25, 1)) | v26(constB25) | v130(constB25, 1))),
% 53.67/33.84 inference(rewrite,[status(thm)],[])).
% 53.67/33.84 tff(6362,plain,
% 53.67/33.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB25) | v130(constB25, 1) | (~v127(constB25, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB25, 1)) | v26(constB25) | v130(constB25, 1)))),
% 53.67/33.84 inference(monotonicity,[status(thm)],[6361])).
% 53.67/33.84 tff(6363,plain,
% 53.67/33.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB25) | v130(constB25, 1) | (~v127(constB25, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB25, 1)) | v26(constB25) | v130(constB25, 1))),
% 53.67/33.84 inference(transitivity,[status(thm)],[6362, 6360])).
% 53.67/33.84 tff(6364,plain,
% 53.67/33.84 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB25) | v130(constB25, 1) | (~v127(constB25, 1)))),
% 53.67/33.84 inference(quant_inst,[status(thm)],[])).
% 53.67/33.84 tff(6365,plain,
% 53.67/33.84 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB25, 1)) | v26(constB25) | v130(constB25, 1)),
% 53.67/33.84 inference(modus_ponens,[status(thm)],[6364, 6363])).
% 53.67/33.84 tff(6366,plain,
% 53.67/33.84 ((~v127(constB25, 1)) | v130(constB25, 1)),
% 53.67/33.84 inference(unit_resolution,[status(thm)],[6365, 1276, 4712])).
% 53.67/33.84 tff(6367,plain,
% 53.67/33.84 (~v127(constB25, 1)),
% 53.67/33.84 inference(unit_resolution,[status(thm)],[6366, 6359])).
% 53.67/33.84 tff(6368,plain,
% 53.67/33.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB25, constB26)) | v127(constB25, 1) | (~v129(constB26, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB25, constB26)) | v127(constB25, 1) | (~v129(constB26, 1)))),
% 53.67/33.84 inference(rewrite,[status(thm)],[])).
% 53.67/33.84 tff(6369,plain,
% 53.67/33.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB25, constB26)) | v127(constB25, 1) | (~v129(constB26, 1)))),
% 53.67/33.84 inference(quant_inst,[status(thm)],[])).
% 53.67/33.84 tff(6370,plain,
% 53.67/33.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB25, constB26)) | v127(constB25, 1) | (~v129(constB26, 1))),
% 53.67/33.84 inference(modus_ponens,[status(thm)],[6369, 6368])).
% 53.67/33.84 tff(6371,plain,
% 53.67/33.84 (v127(constB25, 1) | (~v129(constB26, 1))),
% 53.67/33.84 inference(unit_resolution,[status(thm)],[6370, 1294, 4723])).
% 53.67/33.84 tff(6372,plain,
% 53.67/33.84 (~v129(constB26, 1)),
% 53.67/33.84 inference(unit_resolution,[status(thm)],[6371, 6367])).
% 53.67/33.84 tff(6373,plain,
% 53.67/33.84 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB26, 1)) | v129(constB26, 1) | (~v100(constB26)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB26, 1)) | v129(constB26, 1) | (~v100(constB26)))),
% 53.67/33.84 inference(rewrite,[status(thm)],[])).
% 53.67/33.84 tff(6374,plain,
% 53.67/33.84 (((~v90(constB26, 1)) | (~v100(constB26)) | v129(constB26, 1)) <=> ((~v90(constB26, 1)) | v129(constB26, 1) | (~v100(constB26)))),
% 53.67/33.84 inference(rewrite,[status(thm)],[])).
% 53.67/33.84 tff(6375,plain,
% 53.67/33.84 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB26, 1)) | (~v100(constB26)) | v129(constB26, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB26, 1)) | v129(constB26, 1) | (~v100(constB26))))),
% 53.67/33.84 inference(monotonicity,[status(thm)],[6374])).
% 53.67/33.84 tff(6376,plain,
% 53.67/33.84 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB26, 1)) | (~v100(constB26)) | v129(constB26, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB26, 1)) | v129(constB26, 1) | (~v100(constB26)))),
% 53.67/33.84 inference(transitivity,[status(thm)],[6375, 6373])).
% 53.67/33.84 tff(6377,plain,
% 53.67/33.84 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB26, 1)) | (~v100(constB26)) | v129(constB26, 1))),
% 53.67/33.84 inference(quant_inst,[status(thm)],[])).
% 53.67/33.84 tff(6378,plain,
% 53.67/33.84 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB26, 1)) | v129(constB26, 1) | (~v100(constB26))),
% 53.67/33.84 inference(modus_ponens,[status(thm)],[6377, 6376])).
% 53.67/33.84 tff(6379,plain,
% 53.67/33.84 ((~v90(constB26, 1)) | v129(constB26, 1)),
% 53.67/33.84 inference(unit_resolution,[status(thm)],[6378, 1309, 6150])).
% 53.67/33.84 tff(6380,plain,
% 53.67/33.84 (~v90(constB26, 1)),
% 53.67/33.84 inference(unit_resolution,[status(thm)],[6379, 6372])).
% 53.67/33.84 tff(6381,plain,
% 53.67/33.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB26, 1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB26, 1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 1)))),
% 53.67/33.84 inference(rewrite,[status(thm)],[])).
% 53.67/33.84 tff(6382,plain,
% 53.67/33.84 (((~nextState(constB26, constB27)) | v90(constB26, 1) | v100(constB27) | (~v90(constB27, 1))) <=> (v90(constB26, 1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 1)))),
% 53.67/33.84 inference(rewrite,[status(thm)],[])).
% 53.67/33.84 tff(6383,plain,
% 53.67/33.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB26, constB27)) | v90(constB26, 1) | v100(constB27) | (~v90(constB27, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB26, 1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 1))))),
% 53.67/33.84 inference(monotonicity,[status(thm)],[6382])).
% 53.67/33.84 tff(6384,plain,
% 53.67/33.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB26, constB27)) | v90(constB26, 1) | v100(constB27) | (~v90(constB27, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB26, 1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 1)))),
% 53.67/33.84 inference(transitivity,[status(thm)],[6383, 6381])).
% 53.67/33.84 tff(6385,plain,
% 53.67/33.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB26, constB27)) | v90(constB26, 1) | v100(constB27) | (~v90(constB27, 1)))),
% 53.67/33.84 inference(quant_inst,[status(thm)],[])).
% 53.67/33.84 tff(6386,plain,
% 53.67/33.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB26, 1) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 1))),
% 53.67/33.84 inference(modus_ponens,[status(thm)],[6385, 6384])).
% 53.67/33.84 tff(6387,plain,
% 53.67/33.84 (v90(constB26, 1) | v100(constB27) | (~v90(constB27, 1))),
% 53.67/33.84 inference(unit_resolution,[status(thm)],[6386, 926, 6160])).
% 53.67/33.84 tff(6388,plain,
% 53.67/33.84 (v90(constB26, 1) | (~v90(constB27, 1))),
% 53.67/33.84 inference(unit_resolution,[status(thm)],[6387, 6172])).
% 53.67/33.84 tff(6389,plain,
% 53.67/33.84 (~v90(constB27, 1)),
% 53.67/33.84 inference(unit_resolution,[status(thm)],[6388, 6380])).
% 53.67/33.84 tff(6390,plain,
% 53.67/33.84 (v130(constB25, 0)),
% 53.67/33.84 inference(unit_resolution,[status(thm)],[4958, 6355, 4646, 4681, 4685])).
% 53.67/33.84 tff(6391,plain,
% 53.67/33.84 (v127(constB25, 0)),
% 53.67/33.84 inference(unit_resolution,[status(thm)],[4937, 6390])).
% 53.67/33.84 tff(6392,plain,
% 53.67/33.84 (v129(constB26, 0)),
% 53.67/33.84 inference(unit_resolution,[status(thm)],[4932, 6391])).
% 53.67/33.84 tff(6393,plain,
% 53.67/33.84 (v90(constB26, 0)),
% 53.67/33.84 inference(unit_resolution,[status(thm)],[4926, 1377, 6150, 6392])).
% 53.67/33.84 tff(6394,plain,
% 53.67/33.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB26, 0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB26, 0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, 0))),
% 53.67/33.84 inference(rewrite,[status(thm)],[])).
% 53.67/33.84 tff(6395,plain,
% 53.67/33.84 (((~nextState(constB26, constB27)) | (~v90(constB26, 0)) | v100(constB27) | v90(constB27, 0)) <=> ((~v90(constB26, 0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, 0))),
% 53.67/33.84 inference(rewrite,[status(thm)],[])).
% 53.67/33.84 tff(6396,plain,
% 53.67/33.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB26, constB27)) | (~v90(constB26, 0)) | v100(constB27) | v90(constB27, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB26, 0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, 0)))),
% 53.67/33.84 inference(monotonicity,[status(thm)],[6395])).
% 53.67/33.84 tff(6397,plain,
% 53.67/33.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB26, constB27)) | (~v90(constB26, 0)) | v100(constB27) | v90(constB27, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB26, 0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, 0))),
% 53.67/33.84 inference(transitivity,[status(thm)],[6396, 6394])).
% 53.67/33.84 tff(6398,plain,
% 53.67/33.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB26, constB27)) | (~v90(constB26, 0)) | v100(constB27) | v90(constB27, 0))),
% 53.67/33.84 inference(quant_inst,[status(thm)],[])).
% 53.67/33.84 tff(6399,plain,
% 53.67/33.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB26, 0)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, 0)),
% 53.67/33.84 inference(modus_ponens,[status(thm)],[6398, 6397])).
% 53.67/33.84 tff(6400,plain,
% 53.67/33.84 ((~v90(constB26, 0)) | v100(constB27) | v90(constB27, 0)),
% 53.67/33.84 inference(unit_resolution,[status(thm)],[6399, 1395, 6160])).
% 53.67/33.84 tff(6401,plain,
% 53.67/33.84 ((~v90(constB26, 0)) | v90(constB27, 0)),
% 53.67/33.84 inference(unit_resolution,[status(thm)],[6400, 6172])).
% 53.67/33.84 tff(6402,plain,
% 53.67/33.84 (v90(constB27, 0)),
% 53.67/33.84 inference(unit_resolution,[status(thm)],[6401, 6393])).
% 53.67/33.84 tff(6403,plain,
% 53.67/33.84 (v120(constB27)),
% 53.67/33.84 inference(unit_resolution,[status(thm)],[6252, 1414, 6402, 6389, 6181])).
% 53.67/33.84 tff(6404,plain,
% 53.67/33.84 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB27)) | (~v130(constB27, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB27)) | (~v130(constB27, 2)))),
% 53.67/33.84 inference(rewrite,[status(thm)],[])).
% 53.67/33.84 tff(6405,plain,
% 53.67/33.84 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB27)) | (~v130(constB27, 2)))),
% 53.67/33.84 inference(quant_inst,[status(thm)],[])).
% 53.67/33.84 tff(6406,plain,
% 53.67/33.84 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB27)) | (~v130(constB27, 2))),
% 53.67/33.84 inference(modus_ponens,[status(thm)],[6405, 6404])).
% 53.67/33.84 tff(6407,plain,
% 53.67/33.84 (~v130(constB27, 2)),
% 53.67/33.84 inference(unit_resolution,[status(thm)],[6406, 1523, 6403])).
% 53.67/33.84 tff(6408,plain,
% 53.67/33.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB27, 2)) | v26(constB27) | v130(constB27, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB27, 2)) | v26(constB27) | v130(constB27, 2))),
% 53.67/33.84 inference(rewrite,[status(thm)],[])).
% 53.67/33.84 tff(6409,plain,
% 53.67/33.84 ((v26(constB27) | v130(constB27, 2) | (~v127(constB27, 2))) <=> ((~v127(constB27, 2)) | v26(constB27) | v130(constB27, 2))),
% 53.67/33.84 inference(rewrite,[status(thm)],[])).
% 53.67/33.84 tff(6410,plain,
% 53.67/33.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB27) | v130(constB27, 2) | (~v127(constB27, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB27, 2)) | v26(constB27) | v130(constB27, 2)))),
% 53.67/33.84 inference(monotonicity,[status(thm)],[6409])).
% 53.67/33.84 tff(6411,plain,
% 53.67/33.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB27) | v130(constB27, 2) | (~v127(constB27, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB27, 2)) | v26(constB27) | v130(constB27, 2))),
% 53.67/33.84 inference(transitivity,[status(thm)],[6410, 6408])).
% 53.67/33.84 tff(6412,plain,
% 53.67/33.84 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB27) | v130(constB27, 2) | (~v127(constB27, 2)))),
% 53.67/33.84 inference(quant_inst,[status(thm)],[])).
% 53.67/33.84 tff(6413,plain,
% 53.67/33.84 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB27, 2)) | v26(constB27) | v130(constB27, 2)),
% 53.67/33.84 inference(modus_ponens,[status(thm)],[6412, 6411])).
% 53.67/33.84 tff(6414,plain,
% 53.67/33.84 ((~v127(constB27, 2)) | v130(constB27, 2)),
% 53.67/33.84 inference(unit_resolution,[status(thm)],[6413, 1190, 6294])).
% 53.67/33.84 tff(6415,plain,
% 53.67/33.84 (~v127(constB27, 2)),
% 53.67/33.84 inference(unit_resolution,[status(thm)],[6414, 6407])).
% 53.67/33.84 tff(6416,plain,
% 53.67/33.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB27, constB28)) | v127(constB27, 2) | (~v129(constB28, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB27, constB28)) | v127(constB27, 2) | (~v129(constB28, 2)))),
% 53.67/33.84 inference(rewrite,[status(thm)],[])).
% 53.67/33.84 tff(6417,plain,
% 53.67/33.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB27, constB28)) | v127(constB27, 2) | (~v129(constB28, 2)))),
% 53.67/33.84 inference(quant_inst,[status(thm)],[])).
% 53.67/33.84 tff(6418,plain,
% 53.67/33.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB27, constB28)) | v127(constB27, 2) | (~v129(constB28, 2))),
% 53.67/33.84 inference(modus_ponens,[status(thm)],[6417, 6416])).
% 53.67/33.84 tff(6419,plain,
% 53.67/33.84 (v127(constB27, 2) | (~v129(constB28, 2))),
% 53.67/33.84 inference(unit_resolution,[status(thm)],[6418, 1208, 6312])).
% 53.67/33.84 tff(6420,plain,
% 53.67/33.84 (~v129(constB28, 2)),
% 53.67/33.84 inference(unit_resolution,[status(thm)],[6419, 6415])).
% 53.67/33.84 tff(6421,plain,
% 53.67/33.84 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB28, 2)) | v129(constB28, 2) | (~v100(constB28)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB28, 2)) | v129(constB28, 2) | (~v100(constB28)))),
% 53.67/33.84 inference(rewrite,[status(thm)],[])).
% 53.67/33.84 tff(6422,plain,
% 53.67/33.84 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB28, 2)) | v129(constB28, 2) | (~v100(constB28)))),
% 53.67/33.84 inference(quant_inst,[status(thm)],[])).
% 53.67/33.84 tff(6423,plain,
% 53.67/33.84 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB28, 2)) | v129(constB28, 2) | (~v100(constB28))),
% 53.67/33.84 inference(modus_ponens,[status(thm)],[6422, 6421])).
% 53.67/33.84 tff(6424,plain,
% 53.67/33.84 ((~v90(constB28, 2)) | (~v100(constB28))),
% 53.67/33.84 inference(unit_resolution,[status(thm)],[6423, 1223, 6420])).
% 53.67/33.84 tff(6425,plain,
% 53.67/33.84 (~v90(constB28, 2)),
% 53.67/33.84 inference(unit_resolution,[status(thm)],[6424, 6343])).
% 53.67/33.84 tff(6426,plain,
% 53.67/33.84 ((~v1(constB29)) <=> (~v1(constB29))),
% 53.67/33.84 inference(rewrite,[status(thm)],[])).
% 53.67/33.84 tff(6427,axiom,(~v1(constB29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_29_1_1')).
% 53.67/33.84 tff(6428,plain,
% 53.67/33.84 (~v1(constB29)),
% 53.67/33.84 inference(modus_ponens,[status(thm)],[6427, 6426])).
% 53.67/33.84 tff(6429,plain,
% 53.67/33.84 (nextState(constB28, constB29) <=> nextState(constB28, constB29)),
% 53.67/33.84 inference(rewrite,[status(thm)],[])).
% 53.67/33.84 tff(6430,axiom,(nextState(constB28, constB29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_28_1')).
% 53.67/33.84 tff(6431,plain,
% 53.67/33.84 (nextState(constB28, constB29)),
% 53.67/33.84 inference(modus_ponens,[status(thm)],[6430, 6429])).
% 53.67/33.84 tff(6432,plain,
% 53.67/33.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29)))),
% 53.67/33.84 inference(rewrite,[status(thm)],[])).
% 53.67/33.84 tff(6433,plain,
% 53.67/33.84 (((~nextState(constB28, constB29)) | (~v101(constB29)) | v1(constB29)) <=> (v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29)))),
% 53.67/33.85 inference(rewrite,[status(thm)],[])).
% 53.67/33.85 tff(6434,plain,
% 53.67/33.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB28, constB29)) | (~v101(constB29)) | v1(constB29))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29))))),
% 53.67/33.85 inference(monotonicity,[status(thm)],[6433])).
% 53.67/33.85 tff(6435,plain,
% 53.67/33.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB28, constB29)) | (~v101(constB29)) | v1(constB29))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29)))),
% 53.67/33.85 inference(transitivity,[status(thm)],[6434, 6432])).
% 53.67/33.85 tff(6436,plain,
% 53.67/33.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB28, constB29)) | (~v101(constB29)) | v1(constB29))),
% 53.67/33.85 inference(quant_inst,[status(thm)],[])).
% 53.67/33.85 tff(6437,plain,
% 53.67/33.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB29) | (~nextState(constB28, constB29)) | (~v101(constB29))),
% 53.67/33.85 inference(modus_ponens,[status(thm)],[6436, 6435])).
% 53.67/33.85 tff(6438,plain,
% 53.67/33.85 (~v101(constB29)),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6437, 873, 6431, 6428])).
% 53.67/33.85 tff(6439,plain,
% 53.67/33.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB28, constB29)) | v101(constB29) | (~v100(constB29)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB28, constB29)) | v101(constB29) | (~v100(constB29)))),
% 53.67/33.85 inference(rewrite,[status(thm)],[])).
% 53.67/33.85 tff(6440,plain,
% 53.67/33.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB28, constB29)) | v101(constB29) | (~v100(constB29)))),
% 53.67/33.85 inference(quant_inst,[status(thm)],[])).
% 53.67/33.85 tff(6441,plain,
% 53.67/33.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB28, constB29)) | v101(constB29) | (~v100(constB29))),
% 53.67/33.85 inference(modus_ponens,[status(thm)],[6440, 6439])).
% 53.67/33.85 tff(6442,plain,
% 53.67/33.85 (v101(constB29) | (~v100(constB29))),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6441, 890, 6431])).
% 53.67/33.85 tff(6443,plain,
% 53.67/33.85 (~v100(constB29)),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6442, 6438])).
% 53.67/33.85 tff(6444,plain,
% 53.67/33.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB28, 2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB28, 2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 2)))),
% 53.67/33.85 inference(rewrite,[status(thm)],[])).
% 53.67/33.85 tff(6445,plain,
% 53.67/33.85 (((~nextState(constB28, constB29)) | v90(constB28, 2) | v100(constB29) | (~v90(constB29, 2))) <=> (v90(constB28, 2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 2)))),
% 53.67/33.85 inference(rewrite,[status(thm)],[])).
% 53.67/33.85 tff(6446,plain,
% 53.67/33.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB28, constB29)) | v90(constB28, 2) | v100(constB29) | (~v90(constB29, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB28, 2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 2))))),
% 53.67/33.85 inference(monotonicity,[status(thm)],[6445])).
% 53.67/33.85 tff(6447,plain,
% 53.67/33.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB28, constB29)) | v90(constB28, 2) | v100(constB29) | (~v90(constB29, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB28, 2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 2)))),
% 53.67/33.85 inference(transitivity,[status(thm)],[6446, 6444])).
% 53.67/33.85 tff(6448,plain,
% 53.67/33.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB28, constB29)) | v90(constB28, 2) | v100(constB29) | (~v90(constB29, 2)))),
% 53.67/33.85 inference(quant_inst,[status(thm)],[])).
% 53.67/33.85 tff(6449,plain,
% 53.67/33.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB28, 2) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 2))),
% 53.67/33.85 inference(modus_ponens,[status(thm)],[6448, 6447])).
% 53.67/33.85 tff(6450,plain,
% 53.67/33.85 (v90(constB28, 2) | v100(constB29) | (~v90(constB29, 2))),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6449, 905, 6431])).
% 53.67/33.85 tff(6451,plain,
% 53.67/33.85 (v90(constB28, 2) | (~v90(constB29, 2))),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6450, 6443])).
% 53.67/33.85 tff(6452,plain,
% 53.67/33.85 (~v90(constB29, 2)),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6451, 6425])).
% 53.67/33.85 tff(6453,plain,
% 53.67/33.85 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB27)) | v130(constB27, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB27)) | v130(constB27, 1))),
% 53.67/33.85 inference(rewrite,[status(thm)],[])).
% 53.67/33.85 tff(6454,plain,
% 53.67/33.85 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB27)) | v130(constB27, 1))),
% 53.67/33.85 inference(quant_inst,[status(thm)],[])).
% 53.67/33.85 tff(6455,plain,
% 53.67/33.85 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB27)) | v130(constB27, 1)),
% 53.67/33.85 inference(modus_ponens,[status(thm)],[6454, 6453])).
% 53.67/33.85 tff(6456,plain,
% 53.67/33.85 (v130(constB27, 1)),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6455, 1579, 6403])).
% 53.67/33.85 tff(6457,plain,
% 53.67/33.85 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB27) | (~v130(constB27, 1)) | v127(constB27, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB27) | (~v130(constB27, 1)) | v127(constB27, 1))),
% 53.67/33.85 inference(rewrite,[status(thm)],[])).
% 53.67/33.85 tff(6458,plain,
% 53.67/33.85 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB27) | (~v130(constB27, 1)) | v127(constB27, 1))),
% 53.67/33.85 inference(quant_inst,[status(thm)],[])).
% 53.67/33.85 tff(6459,plain,
% 53.67/33.85 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB27) | (~v130(constB27, 1)) | v127(constB27, 1)),
% 53.67/33.85 inference(modus_ponens,[status(thm)],[6458, 6457])).
% 53.67/33.85 tff(6460,plain,
% 53.67/33.85 ((~v130(constB27, 1)) | v127(constB27, 1)),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6459, 1593, 6294])).
% 53.67/33.85 tff(6461,plain,
% 53.67/33.85 (v127(constB27, 1)),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6460, 6456])).
% 53.67/33.85 tff(6462,plain,
% 53.67/33.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB27, constB28)) | (~v127(constB27, 1)) | v129(constB28, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB27, constB28)) | (~v127(constB27, 1)) | v129(constB28, 1))),
% 53.67/33.85 inference(rewrite,[status(thm)],[])).
% 53.67/33.85 tff(6463,plain,
% 53.67/33.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB27, constB28)) | (~v127(constB27, 1)) | v129(constB28, 1))),
% 53.67/33.85 inference(quant_inst,[status(thm)],[])).
% 53.67/33.85 tff(6464,plain,
% 53.67/33.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB27, constB28)) | (~v127(constB27, 1)) | v129(constB28, 1)),
% 53.67/33.85 inference(modus_ponens,[status(thm)],[6463, 6462])).
% 53.67/33.85 tff(6465,plain,
% 53.67/33.85 ((~v127(constB27, 1)) | v129(constB28, 1)),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6464, 1608, 6312])).
% 53.67/33.85 tff(6466,plain,
% 53.67/33.85 (v129(constB28, 1)),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6465, 6461])).
% 53.67/33.85 tff(6467,plain,
% 53.67/33.85 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB28, 1) | (~v129(constB28, 1)) | (~v100(constB28)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB28, 1) | (~v129(constB28, 1)) | (~v100(constB28)))),
% 53.67/33.85 inference(rewrite,[status(thm)],[])).
% 53.67/33.85 tff(6468,plain,
% 53.67/33.85 ((v90(constB28, 1) | (~v100(constB28)) | (~v129(constB28, 1))) <=> (v90(constB28, 1) | (~v129(constB28, 1)) | (~v100(constB28)))),
% 53.67/33.85 inference(rewrite,[status(thm)],[])).
% 53.67/33.85 tff(6469,plain,
% 53.67/33.85 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB28, 1) | (~v100(constB28)) | (~v129(constB28, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB28, 1) | (~v129(constB28, 1)) | (~v100(constB28))))),
% 53.67/33.85 inference(monotonicity,[status(thm)],[6468])).
% 53.67/33.85 tff(6470,plain,
% 53.67/33.85 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB28, 1) | (~v100(constB28)) | (~v129(constB28, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB28, 1) | (~v129(constB28, 1)) | (~v100(constB28)))),
% 53.67/33.85 inference(transitivity,[status(thm)],[6469, 6467])).
% 53.67/33.85 tff(6471,plain,
% 53.67/33.85 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB28, 1) | (~v100(constB28)) | (~v129(constB28, 1)))),
% 53.67/33.85 inference(quant_inst,[status(thm)],[])).
% 53.67/33.85 tff(6472,plain,
% 53.67/33.85 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB28, 1) | (~v129(constB28, 1)) | (~v100(constB28))),
% 53.67/33.85 inference(modus_ponens,[status(thm)],[6471, 6470])).
% 53.67/33.85 tff(6473,plain,
% 53.67/33.85 (v90(constB28, 1) | (~v100(constB28))),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6472, 1623, 6466])).
% 53.67/33.85 tff(6474,plain,
% 53.67/33.85 (v90(constB28, 1)),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6473, 6343])).
% 53.67/33.85 tff(6475,plain,
% 53.67/33.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB28, 1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB28, 1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, 1))),
% 53.67/33.85 inference(rewrite,[status(thm)],[])).
% 53.67/33.85 tff(6476,plain,
% 53.67/33.85 (((~nextState(constB28, constB29)) | (~v90(constB28, 1)) | v100(constB29) | v90(constB29, 1)) <=> ((~v90(constB28, 1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, 1))),
% 53.67/33.85 inference(rewrite,[status(thm)],[])).
% 53.67/33.85 tff(6477,plain,
% 53.67/33.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB28, constB29)) | (~v90(constB28, 1)) | v100(constB29) | v90(constB29, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB28, 1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, 1)))),
% 53.67/33.85 inference(monotonicity,[status(thm)],[6476])).
% 53.67/33.85 tff(6478,plain,
% 53.67/33.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB28, constB29)) | (~v90(constB28, 1)) | v100(constB29) | v90(constB29, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB28, 1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, 1))),
% 53.67/33.85 inference(transitivity,[status(thm)],[6477, 6475])).
% 53.67/33.85 tff(6479,plain,
% 53.67/33.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB28, constB29)) | (~v90(constB28, 1)) | v100(constB29) | v90(constB29, 1))),
% 53.67/33.85 inference(quant_inst,[status(thm)],[])).
% 53.67/33.85 tff(6480,plain,
% 53.67/33.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB28, 1)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, 1)),
% 53.67/33.85 inference(modus_ponens,[status(thm)],[6479, 6478])).
% 53.67/33.85 tff(6481,plain,
% 53.67/33.85 ((~v90(constB28, 1)) | v100(constB29) | v90(constB29, 1)),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6480, 1641, 6431])).
% 53.67/33.85 tff(6482,plain,
% 53.67/33.85 ((~v90(constB28, 1)) | v90(constB29, 1)),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6481, 6443])).
% 53.67/33.85 tff(6483,plain,
% 53.67/33.85 (v90(constB29, 1)),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6482, 6474])).
% 53.67/33.85 tff(6484,plain,
% 53.67/33.85 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB27)) | (~v130(constB27, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB27)) | (~v130(constB27, 0)))),
% 53.67/33.85 inference(rewrite,[status(thm)],[])).
% 53.67/33.85 tff(6485,plain,
% 53.67/33.85 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB27)) | (~v130(constB27, 0)))),
% 53.67/33.85 inference(quant_inst,[status(thm)],[])).
% 53.67/33.85 tff(6486,plain,
% 53.67/33.85 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB27)) | (~v130(constB27, 0))),
% 53.67/33.85 inference(modus_ponens,[status(thm)],[6485, 6484])).
% 53.67/33.85 tff(6487,plain,
% 53.67/33.85 (~v130(constB27, 0)),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6486, 1657, 6403])).
% 53.67/33.85 tff(6488,plain,
% 53.67/33.85 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB27, 0)) | v26(constB27) | v130(constB27, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB27, 0)) | v26(constB27) | v130(constB27, 0))),
% 53.67/33.85 inference(rewrite,[status(thm)],[])).
% 53.67/33.85 tff(6489,plain,
% 53.67/33.85 ((v26(constB27) | v130(constB27, 0) | (~v127(constB27, 0))) <=> ((~v127(constB27, 0)) | v26(constB27) | v130(constB27, 0))),
% 53.67/33.85 inference(rewrite,[status(thm)],[])).
% 53.67/33.85 tff(6490,plain,
% 53.67/33.85 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB27) | v130(constB27, 0) | (~v127(constB27, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB27, 0)) | v26(constB27) | v130(constB27, 0)))),
% 53.67/33.85 inference(monotonicity,[status(thm)],[6489])).
% 53.67/33.85 tff(6491,plain,
% 53.67/33.85 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB27) | v130(constB27, 0) | (~v127(constB27, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB27, 0)) | v26(constB27) | v130(constB27, 0))),
% 53.67/33.85 inference(transitivity,[status(thm)],[6490, 6488])).
% 53.67/33.85 tff(6492,plain,
% 53.67/33.85 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB27) | v130(constB27, 0) | (~v127(constB27, 0)))),
% 53.67/33.85 inference(quant_inst,[status(thm)],[])).
% 53.67/33.85 tff(6493,plain,
% 53.67/33.85 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB27, 0)) | v26(constB27) | v130(constB27, 0)),
% 53.67/33.85 inference(modus_ponens,[status(thm)],[6492, 6491])).
% 53.67/33.85 tff(6494,plain,
% 53.67/33.85 ((~v127(constB27, 0)) | v130(constB27, 0)),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6493, 1671, 6294])).
% 53.67/33.85 tff(6495,plain,
% 53.67/33.85 (~v127(constB27, 0)),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6494, 6487])).
% 53.67/33.85 tff(6496,plain,
% 53.67/33.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB27, constB28)) | v127(constB27, 0) | (~v129(constB28, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB27, constB28)) | v127(constB27, 0) | (~v129(constB28, 0)))),
% 53.67/33.85 inference(rewrite,[status(thm)],[])).
% 53.67/33.85 tff(6497,plain,
% 53.67/33.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB27, constB28)) | v127(constB27, 0) | (~v129(constB28, 0)))),
% 53.67/33.85 inference(quant_inst,[status(thm)],[])).
% 53.67/33.85 tff(6498,plain,
% 53.67/33.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB27, constB28)) | v127(constB27, 0) | (~v129(constB28, 0))),
% 53.67/33.85 inference(modus_ponens,[status(thm)],[6497, 6496])).
% 53.67/33.85 tff(6499,plain,
% 53.67/33.85 (v127(constB27, 0) | (~v129(constB28, 0))),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6498, 1689, 6312])).
% 53.67/33.85 tff(6500,plain,
% 53.67/33.85 (~v129(constB28, 0)),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6499, 6495])).
% 53.67/33.85 tff(6501,plain,
% 53.67/33.85 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB28, 0)) | v129(constB28, 0) | (~v100(constB28)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB28, 0)) | v129(constB28, 0) | (~v100(constB28)))),
% 53.67/33.85 inference(rewrite,[status(thm)],[])).
% 53.67/33.85 tff(6502,plain,
% 53.67/33.85 (((~v90(constB28, 0)) | (~v100(constB28)) | v129(constB28, 0)) <=> ((~v90(constB28, 0)) | v129(constB28, 0) | (~v100(constB28)))),
% 53.67/33.85 inference(rewrite,[status(thm)],[])).
% 53.67/33.85 tff(6503,plain,
% 53.67/33.85 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB28, 0)) | (~v100(constB28)) | v129(constB28, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB28, 0)) | v129(constB28, 0) | (~v100(constB28))))),
% 53.67/33.85 inference(monotonicity,[status(thm)],[6502])).
% 53.67/33.85 tff(6504,plain,
% 53.67/33.85 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB28, 0)) | (~v100(constB28)) | v129(constB28, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB28, 0)) | v129(constB28, 0) | (~v100(constB28)))),
% 53.67/33.85 inference(transitivity,[status(thm)],[6503, 6501])).
% 53.67/33.85 tff(6505,plain,
% 53.67/33.85 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB28, 0)) | (~v100(constB28)) | v129(constB28, 0))),
% 53.67/33.85 inference(quant_inst,[status(thm)],[])).
% 53.67/33.85 tff(6506,plain,
% 53.67/33.85 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB28, 0)) | v129(constB28, 0) | (~v100(constB28))),
% 53.67/33.85 inference(modus_ponens,[status(thm)],[6505, 6504])).
% 53.67/33.85 tff(6507,plain,
% 53.67/33.85 ((~v90(constB28, 0)) | (~v100(constB28))),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6506, 1704, 6500])).
% 53.67/33.85 tff(6508,plain,
% 53.67/33.85 (~v90(constB28, 0)),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6507, 6343])).
% 53.67/33.85 tff(6509,plain,
% 53.67/33.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB28, 0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB28, 0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 0)))),
% 53.67/33.85 inference(rewrite,[status(thm)],[])).
% 53.67/33.85 tff(6510,plain,
% 53.67/33.85 (((~nextState(constB28, constB29)) | v90(constB28, 0) | v100(constB29) | (~v90(constB29, 0))) <=> (v90(constB28, 0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 0)))),
% 53.67/33.85 inference(rewrite,[status(thm)],[])).
% 53.67/33.85 tff(6511,plain,
% 53.67/33.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB28, constB29)) | v90(constB28, 0) | v100(constB29) | (~v90(constB29, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB28, 0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 0))))),
% 53.67/33.85 inference(monotonicity,[status(thm)],[6510])).
% 53.67/33.85 tff(6512,plain,
% 53.67/33.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB28, constB29)) | v90(constB28, 0) | v100(constB29) | (~v90(constB29, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB28, 0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 0)))),
% 53.67/33.85 inference(transitivity,[status(thm)],[6511, 6509])).
% 53.67/33.85 tff(6513,plain,
% 53.67/33.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB28, constB29)) | v90(constB28, 0) | v100(constB29) | (~v90(constB29, 0)))),
% 53.67/33.85 inference(quant_inst,[status(thm)],[])).
% 53.67/33.85 tff(6514,plain,
% 53.67/33.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB28, 0) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 0))),
% 53.67/33.85 inference(modus_ponens,[status(thm)],[6513, 6512])).
% 53.67/33.85 tff(6515,plain,
% 53.67/33.85 (v90(constB28, 0) | v100(constB29) | (~v90(constB29, 0))),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6514, 947, 6431])).
% 53.67/33.85 tff(6516,plain,
% 53.67/33.85 (v90(constB28, 0) | (~v90(constB29, 0))),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6515, 6443])).
% 53.67/33.85 tff(6517,plain,
% 53.67/33.85 (~v90(constB29, 0)),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6516, 6508])).
% 53.67/33.85 tff(6518,plain,
% 53.67/33.85 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB29, 0) | (~v90(constB29, 1)) | v90(constB29, 2) | v121(constB29))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB29, 0) | (~v90(constB29, 1)) | v90(constB29, 2) | v121(constB29))),
% 53.67/33.85 inference(rewrite,[status(thm)],[])).
% 53.67/33.85 tff(6519,plain,
% 53.67/33.85 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB29, 0) | (~v90(constB29, 1)) | v90(constB29, 2) | v121(constB29))),
% 53.67/33.85 inference(quant_inst,[status(thm)],[])).
% 53.67/33.85 tff(6520,plain,
% 53.67/33.85 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB29, 0) | (~v90(constB29, 1)) | v90(constB29, 2) | v121(constB29)),
% 53.67/33.85 inference(modus_ponens,[status(thm)],[6519, 6518])).
% 53.67/33.85 tff(6521,plain,
% 53.67/33.85 (v121(constB29)),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6520, 1731, 6517, 6483, 6452])).
% 53.67/33.85 tff(6522,plain,
% 53.67/33.85 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB29)) | v117(constB29))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB29)) | v117(constB29))),
% 53.67/33.85 inference(rewrite,[status(thm)],[])).
% 53.67/33.85 tff(6523,plain,
% 53.67/33.85 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB29)) | v117(constB29))),
% 53.67/33.85 inference(quant_inst,[status(thm)],[])).
% 53.67/33.85 tff(6524,plain,
% 53.67/33.85 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB29)) | v117(constB29)),
% 53.67/33.85 inference(modus_ponens,[status(thm)],[6523, 6522])).
% 53.67/33.85 tff(6525,plain,
% 53.67/33.85 (v117(constB29)),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6524, 1742, 6521])).
% 53.67/33.85 tff(6526,plain,
% 53.67/33.85 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB29) | (~v117(constB29)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB29) | (~v117(constB29)))),
% 53.67/33.85 inference(rewrite,[status(thm)],[])).
% 53.67/33.85 tff(6527,plain,
% 53.67/33.85 (((~v117(constB29)) | v116(constB29)) <=> (v116(constB29) | (~v117(constB29)))),
% 53.67/33.85 inference(rewrite,[status(thm)],[])).
% 53.67/33.85 tff(6528,plain,
% 53.67/33.85 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB29)) | v116(constB29))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB29) | (~v117(constB29))))),
% 53.67/33.85 inference(monotonicity,[status(thm)],[6527])).
% 53.67/33.85 tff(6529,plain,
% 53.67/33.85 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB29)) | v116(constB29))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB29) | (~v117(constB29)))),
% 53.67/33.85 inference(transitivity,[status(thm)],[6528, 6526])).
% 53.67/33.85 tff(6530,plain,
% 53.67/33.85 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB29)) | v116(constB29))),
% 53.67/33.85 inference(quant_inst,[status(thm)],[])).
% 53.67/33.85 tff(6531,plain,
% 53.67/33.85 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB29) | (~v117(constB29))),
% 53.67/33.85 inference(modus_ponens,[status(thm)],[6530, 6529])).
% 53.67/33.85 tff(6532,plain,
% 53.67/33.85 (v116(constB29)),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6531, 1007, 6525])).
% 53.67/33.85 tff(6533,plain,
% 53.67/33.85 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB29)) | v115(constB29))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB29)) | v115(constB29))),
% 53.67/33.85 inference(rewrite,[status(thm)],[])).
% 53.67/33.85 tff(6534,plain,
% 53.67/33.85 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB29)) | v115(constB29))),
% 53.67/33.85 inference(quant_inst,[status(thm)],[])).
% 53.67/33.85 tff(6535,plain,
% 53.67/33.85 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB29)) | v115(constB29)),
% 53.67/33.85 inference(modus_ponens,[status(thm)],[6534, 6533])).
% 53.67/33.85 tff(6536,plain,
% 53.67/33.85 (v115(constB29)),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6535, 1021, 6532])).
% 53.67/33.85 tff(6537,plain,
% 53.67/33.85 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB29) | (~v115(constB29)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB29) | (~v115(constB29)))),
% 53.67/33.85 inference(rewrite,[status(thm)],[])).
% 53.67/33.85 tff(6538,plain,
% 53.67/33.85 (((~v115(constB29)) | v114(constB29)) <=> (v114(constB29) | (~v115(constB29)))),
% 53.67/33.85 inference(rewrite,[status(thm)],[])).
% 53.67/33.85 tff(6539,plain,
% 53.67/33.85 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB29)) | v114(constB29))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB29) | (~v115(constB29))))),
% 53.67/33.85 inference(monotonicity,[status(thm)],[6538])).
% 53.67/33.85 tff(6540,plain,
% 53.67/33.85 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB29)) | v114(constB29))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB29) | (~v115(constB29)))),
% 53.67/33.85 inference(transitivity,[status(thm)],[6539, 6537])).
% 53.67/33.85 tff(6541,plain,
% 53.67/33.85 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB29)) | v114(constB29))),
% 53.67/33.85 inference(quant_inst,[status(thm)],[])).
% 53.67/33.85 tff(6542,plain,
% 53.67/33.85 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB29) | (~v115(constB29))),
% 53.67/33.85 inference(modus_ponens,[status(thm)],[6541, 6540])).
% 53.67/33.85 tff(6543,plain,
% 53.67/33.85 (v114(constB29)),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6542, 1035, 6536])).
% 53.67/33.85 tff(6544,plain,
% 53.67/33.85 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB29) | (~v114(constB29)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB29) | (~v114(constB29)))),
% 53.67/33.85 inference(rewrite,[status(thm)],[])).
% 53.67/33.85 tff(6545,plain,
% 53.67/33.85 (((~v114(constB29)) | v113(constB29)) <=> (v113(constB29) | (~v114(constB29)))),
% 53.67/33.85 inference(rewrite,[status(thm)],[])).
% 53.67/33.85 tff(6546,plain,
% 53.67/33.85 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB29)) | v113(constB29))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB29) | (~v114(constB29))))),
% 53.67/33.85 inference(monotonicity,[status(thm)],[6545])).
% 53.67/33.85 tff(6547,plain,
% 53.67/33.85 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB29)) | v113(constB29))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB29) | (~v114(constB29)))),
% 53.67/33.85 inference(transitivity,[status(thm)],[6546, 6544])).
% 53.67/33.85 tff(6548,plain,
% 53.67/33.85 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB29)) | v113(constB29))),
% 53.67/33.85 inference(quant_inst,[status(thm)],[])).
% 53.67/33.85 tff(6549,plain,
% 53.67/33.85 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB29) | (~v114(constB29))),
% 53.67/33.85 inference(modus_ponens,[status(thm)],[6548, 6547])).
% 53.67/33.85 tff(6550,plain,
% 53.67/33.85 (v113(constB29)),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6549, 1049, 6543])).
% 53.67/33.85 tff(6551,assumption,(v26(constB29)), introduced(assumption)).
% 53.67/33.85 tff(6552,plain,
% 53.67/33.85 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB29))),
% 53.67/33.85 inference(quant_inst,[status(thm)],[])).
% 53.67/33.85 tff(6553,plain,
% 53.67/33.85 ($false),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6552, 828, 6551])).
% 53.67/33.85 tff(6554,plain,(~v26(constB29)), inference(lemma,lemma(discharge,[]))).
% 53.67/33.85 tff(6555,plain,
% 53.67/33.85 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB29) | (~v113(constB29)) | v112(constB29))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB29) | (~v113(constB29)) | v112(constB29))),
% 53.67/33.85 inference(rewrite,[status(thm)],[])).
% 53.67/33.85 tff(6556,plain,
% 53.67/33.85 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB29) | (~v113(constB29)) | v112(constB29))),
% 53.67/33.85 inference(quant_inst,[status(thm)],[])).
% 53.67/33.85 tff(6557,plain,
% 53.67/33.85 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB29) | (~v113(constB29)) | v112(constB29)),
% 53.67/33.85 inference(modus_ponens,[status(thm)],[6556, 6555])).
% 53.67/33.85 tff(6558,plain,
% 53.67/33.85 ((~v113(constB29)) | v112(constB29)),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6557, 1063, 6554])).
% 53.67/33.85 tff(6559,plain,
% 53.67/33.85 (v112(constB29)),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6558, 6550])).
% 53.67/33.85 tff(6560,plain,
% 53.67/33.85 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB29) | (~v112(constB29)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB29) | (~v112(constB29)))),
% 53.67/33.85 inference(rewrite,[status(thm)],[])).
% 53.67/33.85 tff(6561,plain,
% 53.67/33.85 (((~v112(constB29)) | v108(constB29)) <=> (v108(constB29) | (~v112(constB29)))),
% 53.67/33.85 inference(rewrite,[status(thm)],[])).
% 53.67/33.85 tff(6562,plain,
% 53.67/33.85 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB29)) | v108(constB29))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB29) | (~v112(constB29))))),
% 53.67/33.85 inference(monotonicity,[status(thm)],[6561])).
% 53.67/33.85 tff(6563,plain,
% 53.67/33.85 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB29)) | v108(constB29))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB29) | (~v112(constB29)))),
% 53.67/33.85 inference(transitivity,[status(thm)],[6562, 6560])).
% 53.67/33.85 tff(6564,plain,
% 53.67/33.85 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB29)) | v108(constB29))),
% 53.67/33.85 inference(quant_inst,[status(thm)],[])).
% 53.67/33.85 tff(6565,plain,
% 53.67/33.85 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB29) | (~v112(constB29))),
% 53.67/33.85 inference(modus_ponens,[status(thm)],[6564, 6563])).
% 53.67/33.85 tff(6566,plain,
% 53.67/33.85 (v108(constB29)),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6565, 1075, 6559])).
% 53.67/33.85 tff(6567,plain,
% 53.67/33.85 (nextState(constB29, constB30) <=> nextState(constB29, constB30)),
% 53.67/33.85 inference(rewrite,[status(thm)],[])).
% 53.67/33.85 tff(6568,axiom,(nextState(constB29, constB30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_29_1')).
% 53.67/33.85 tff(6569,plain,
% 53.67/33.85 (nextState(constB29, constB30)),
% 53.67/33.85 inference(modus_ponens,[status(thm)],[6568, 6567])).
% 53.67/33.85 tff(6570,plain,
% 53.67/33.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29)))),
% 53.67/33.85 inference(rewrite,[status(thm)],[])).
% 53.67/33.85 tff(6571,plain,
% 53.67/33.85 (((~nextState(constB29, constB30)) | (~v108(constB29)) | v110(constB30)) <=> ((~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29)))),
% 53.67/33.85 inference(rewrite,[status(thm)],[])).
% 53.67/33.85 tff(6572,plain,
% 53.67/33.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB29, constB30)) | (~v108(constB29)) | v110(constB30))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29))))),
% 53.67/33.85 inference(monotonicity,[status(thm)],[6571])).
% 53.67/33.85 tff(6573,plain,
% 53.67/33.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB29, constB30)) | (~v108(constB29)) | v110(constB30))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29)))),
% 53.67/33.85 inference(transitivity,[status(thm)],[6572, 6570])).
% 53.67/33.85 tff(6574,plain,
% 53.67/33.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB29, constB30)) | (~v108(constB29)) | v110(constB30))),
% 53.67/33.85 inference(quant_inst,[status(thm)],[])).
% 53.67/33.85 tff(6575,plain,
% 53.67/33.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB29, constB30)) | v110(constB30) | (~v108(constB29))),
% 53.67/33.85 inference(modus_ponens,[status(thm)],[6574, 6573])).
% 53.67/33.85 tff(6576,plain,
% 53.67/33.85 (v110(constB30) | (~v108(constB29))),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6575, 1095, 6569])).
% 53.67/33.85 tff(6577,plain,
% 53.67/33.85 (v110(constB30)),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6576, 6566])).
% 53.67/33.85 tff(6578,plain,
% 53.67/33.85 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB29) | (~nextState(constB29, constB30)) | (~v104(constB30)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB29) | (~nextState(constB29, constB30)) | (~v104(constB30)))),
% 53.67/33.85 inference(rewrite,[status(thm)],[])).
% 53.67/33.85 tff(6579,plain,
% 53.67/33.85 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB29) | (~nextState(constB29, constB30)) | (~v104(constB30)))),
% 53.67/33.85 inference(quant_inst,[status(thm)],[])).
% 53.67/33.85 tff(6580,plain,
% 53.67/33.85 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB29) | (~nextState(constB29, constB30)) | (~v104(constB30))),
% 53.67/33.85 inference(modus_ponens,[status(thm)],[6579, 6578])).
% 53.67/33.85 tff(6581,plain,
% 53.67/33.85 (~v104(constB30)),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6580, 1113, 6569, 6428])).
% 53.67/33.85 tff(6582,plain,
% 53.67/33.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB29, constB30)) | v102(constB30) | v104(constB30))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB29, constB30)) | v102(constB30) | v104(constB30))),
% 53.67/33.85 inference(rewrite,[status(thm)],[])).
% 53.67/33.85 tff(6583,plain,
% 53.67/33.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB29, constB30)) | v102(constB30) | v104(constB30))),
% 53.67/33.85 inference(quant_inst,[status(thm)],[])).
% 53.67/33.85 tff(6584,plain,
% 53.67/33.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB29, constB30)) | v102(constB30) | v104(constB30)),
% 53.67/33.85 inference(modus_ponens,[status(thm)],[6583, 6582])).
% 53.67/33.85 tff(6585,plain,
% 53.67/33.85 (v102(constB30) | v104(constB30)),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6584, 1127, 6569])).
% 53.67/33.85 tff(6586,plain,
% 53.67/33.85 (v102(constB30)),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6585, 6581])).
% 53.67/33.85 tff(6587,plain,
% 53.67/33.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB29, constB30)) | v101(constB30) | (~v102(constB30)) | (~v1(constB30)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB29, constB30)) | v101(constB30) | (~v102(constB30)) | (~v1(constB30)))),
% 53.67/33.85 inference(rewrite,[status(thm)],[])).
% 53.67/33.85 tff(6588,plain,
% 53.67/33.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB29, constB30)) | v101(constB30) | (~v102(constB30)) | (~v1(constB30)))),
% 53.67/33.85 inference(quant_inst,[status(thm)],[])).
% 53.67/33.85 tff(6589,plain,
% 53.67/33.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB29, constB30)) | v101(constB30) | (~v102(constB30)) | (~v1(constB30))),
% 53.67/33.85 inference(modus_ponens,[status(thm)],[6588, 6587])).
% 53.67/33.85 tff(6590,plain,
% 53.67/33.85 (v101(constB30) | (~v102(constB30))),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6589, 1145, 6569, 651])).
% 53.67/33.85 tff(6591,plain,
% 53.67/33.85 (v101(constB30)),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6590, 6586])).
% 53.67/33.85 tff(6592,plain,
% 53.67/33.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30)))),
% 53.67/33.85 inference(rewrite,[status(thm)],[])).
% 53.67/33.85 tff(6593,plain,
% 53.67/33.85 (((~nextState(constB29, constB30)) | (~v101(constB30)) | (~v110(constB30)) | v100(constB30)) <=> ((~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30)))),
% 53.67/33.85 inference(rewrite,[status(thm)],[])).
% 53.67/33.85 tff(6594,plain,
% 53.67/33.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB29, constB30)) | (~v101(constB30)) | (~v110(constB30)) | v100(constB30))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30))))),
% 53.67/33.85 inference(monotonicity,[status(thm)],[6593])).
% 53.67/33.85 tff(6595,plain,
% 53.67/33.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB29, constB30)) | (~v101(constB30)) | (~v110(constB30)) | v100(constB30))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30)))),
% 53.67/33.85 inference(transitivity,[status(thm)],[6594, 6592])).
% 53.67/33.85 tff(6596,plain,
% 53.67/33.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB29, constB30)) | (~v101(constB30)) | (~v110(constB30)) | v100(constB30))),
% 53.67/33.85 inference(quant_inst,[status(thm)],[])).
% 53.67/33.85 tff(6597,plain,
% 53.67/33.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB29, constB30)) | v100(constB30) | (~v101(constB30)) | (~v110(constB30))),
% 53.67/33.85 inference(modus_ponens,[status(thm)],[6596, 6595])).
% 53.67/33.85 tff(6598,plain,
% 53.67/33.85 (v100(constB30) | (~v101(constB30)) | (~v110(constB30))),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6597, 1160, 6569])).
% 53.67/33.85 tff(6599,plain,
% 53.67/33.85 (v100(constB30) | (~v110(constB30))),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6598, 6591])).
% 53.67/33.85 tff(6600,plain,
% 53.67/33.85 (v100(constB30)),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6599, 6577])).
% 53.67/33.85 tff(6601,plain,
% 53.67/33.85 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB29)) | (~v90(constB29, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB29)) | (~v90(constB29, 1)))),
% 53.67/33.85 inference(rewrite,[status(thm)],[])).
% 53.67/33.85 tff(6602,plain,
% 53.67/33.85 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB29)) | (~v90(constB29, 1)))),
% 53.67/33.85 inference(quant_inst,[status(thm)],[])).
% 53.67/33.85 tff(6603,plain,
% 53.67/33.85 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB29)) | (~v90(constB29, 1))),
% 53.67/33.85 inference(modus_ponens,[status(thm)],[6602, 6601])).
% 53.67/33.85 tff(6604,plain,
% 53.67/33.85 (~v119(constB29)),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6603, 2868, 6483])).
% 53.67/33.85 tff(6605,plain,
% 53.67/33.85 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB29)) | (~v90(constB29, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB29)) | (~v90(constB29, 1)))),
% 53.67/33.85 inference(rewrite,[status(thm)],[])).
% 53.67/33.85 tff(6606,plain,
% 53.67/33.85 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB29)) | (~v90(constB29, 1)))),
% 53.67/33.85 inference(quant_inst,[status(thm)],[])).
% 53.67/33.85 tff(6607,plain,
% 53.67/33.85 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB29)) | (~v90(constB29, 1))),
% 53.67/33.85 inference(modus_ponens,[status(thm)],[6606, 6605])).
% 53.67/33.85 tff(6608,plain,
% 53.67/33.85 (~v123(constB29)),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6607, 2879, 6483])).
% 53.67/33.85 tff(6609,assumption,(v124(constB29)), introduced(assumption)).
% 53.67/33.85 tff(6610,plain,
% 53.67/33.85 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | ((~v124(constB29)) | v90(constB29, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | (~v124(constB29)) | v90(constB29, 2))),
% 53.67/33.85 inference(rewrite,[status(thm)],[])).
% 53.67/33.85 tff(6611,plain,
% 53.67/33.85 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | ((~v124(constB29)) | v90(constB29, 2))),
% 53.67/33.85 inference(quant_inst,[status(thm)],[])).
% 53.67/33.85 tff(6612,plain,
% 53.67/33.85 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | (~v124(constB29)) | v90(constB29, 2)),
% 53.67/33.85 inference(modus_ponens,[status(thm)],[6611, 6610])).
% 53.67/33.85 tff(6613,plain,
% 53.67/33.85 (v90(constB29, 2)),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6612, 3774, 6609])).
% 53.67/33.85 tff(6614,plain,
% 53.67/33.85 (v90(constB28, 2)),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6451, 6613])).
% 53.67/33.85 tff(6615,plain,
% 53.67/33.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB27, 2) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB27, 2) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 2)))),
% 53.67/33.85 inference(rewrite,[status(thm)],[])).
% 53.67/33.85 tff(6616,plain,
% 53.67/33.85 (((~nextState(constB27, constB28)) | v90(constB27, 2) | v100(constB28) | (~v90(constB28, 2))) <=> (v90(constB27, 2) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 2)))),
% 53.67/33.85 inference(rewrite,[status(thm)],[])).
% 53.67/33.85 tff(6617,plain,
% 53.67/33.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB27, constB28)) | v90(constB27, 2) | v100(constB28) | (~v90(constB28, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB27, 2) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 2))))),
% 53.67/33.85 inference(monotonicity,[status(thm)],[6616])).
% 53.67/33.85 tff(6618,plain,
% 53.67/33.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB27, constB28)) | v90(constB27, 2) | v100(constB28) | (~v90(constB28, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB27, 2) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 2)))),
% 53.67/33.85 inference(transitivity,[status(thm)],[6617, 6615])).
% 53.67/33.85 tff(6619,plain,
% 53.67/33.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB27, constB28)) | v90(constB27, 2) | v100(constB28) | (~v90(constB28, 2)))),
% 53.67/33.85 inference(quant_inst,[status(thm)],[])).
% 53.67/33.85 tff(6620,plain,
% 53.67/33.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB27, 2) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 2))),
% 53.67/33.85 inference(modus_ponens,[status(thm)],[6619, 6618])).
% 53.67/33.85 tff(6621,plain,
% 53.67/33.85 (v90(constB27, 2) | v100(constB28) | (~v90(constB28, 2))),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6620, 905, 6312])).
% 53.67/33.85 tff(6622,plain,
% 53.67/33.85 (v100(constB28)),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6621, 6614, 6208])).
% 53.67/33.85 tff(6623,plain,
% 53.67/33.85 (v129(constB28, 2)),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6423, 1223, 6622, 6614])).
% 53.67/33.85 tff(6624,plain,
% 53.67/33.85 (v127(constB27, 2)),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6419, 6623])).
% 53.67/33.85 tff(6625,plain,
% 53.67/33.85 (v130(constB27, 2)),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6414, 6624])).
% 53.67/33.85 tff(6626,plain,
% 53.67/33.85 (~v120(constB27)),
% 53.67/33.85 inference(unit_resolution,[status(thm)],[6406, 1523, 6625])).
% 53.67/33.85 tff(6627,plain,
% 53.67/33.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB27, constB28)) | v110(constB28) | (~v100(constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB27, constB28)) | v110(constB28) | (~v100(constB28)))),
% 53.67/33.86 inference(rewrite,[status(thm)],[])).
% 53.67/33.86 tff(6628,plain,
% 53.67/33.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB27, constB28)) | v110(constB28) | (~v100(constB28)))),
% 53.67/33.86 inference(quant_inst,[status(thm)],[])).
% 53.67/33.86 tff(6629,plain,
% 53.67/33.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB27, constB28)) | v110(constB28) | (~v100(constB28))),
% 53.67/33.86 inference(modus_ponens,[status(thm)],[6628, 6627])).
% 53.67/33.86 tff(6630,plain,
% 53.67/33.86 (v110(constB28) | (~v100(constB28))),
% 53.67/33.86 inference(unit_resolution,[status(thm)],[6629, 4764, 6312])).
% 53.67/33.86 tff(6631,plain,
% 53.67/33.86 (v110(constB28)),
% 53.67/33.86 inference(unit_resolution,[status(thm)],[6630, 6622])).
% 53.67/33.86 tff(6632,plain,
% 53.67/33.86 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))))),
% 53.67/33.86 inference(bind,[status(th)],[])).
% 53.67/33.86 tff(6633,plain,
% 53.67/33.86 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 53.67/33.86 inference(quant_intro,[status(thm)],[6632])).
% 53.67/33.86 tff(6634,plain,
% 53.67/33.86 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 53.67/33.86 inference(rewrite,[status(thm)],[])).
% 53.67/33.86 tff(6635,plain,
% 53.67/33.86 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v110(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v110(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v110(VarNext))) | v108(VarCurr)) <=> (((~nextState(VarCurr, VarNext)) | (~v110(VarNext))) | v108(VarCurr)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v110(VarNext))) | v108(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v110(VarNext))) | v108(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))))),
% 53.67/33.86 inference(bind,[status(th)],[])).
% 53.67/33.86 tff(6636,plain,
% 53.67/33.86 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v110(VarNext))) | v108(VarCurr)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 53.67/33.86 inference(quant_intro,[status(thm)],[6635])).
% 53.67/33.86 tff(6637,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v110(VarNext))) | v108(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_6_1_2')).
% 53.67/33.86 tff(6638,plain,
% 53.67/33.86 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 53.67/33.86 inference(modus_ponens,[status(thm)],[6637, 6636])).
% 53.67/33.86 tff(6639,plain,
% 53.67/33.86 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 53.67/33.86 inference(modus_ponens,[status(thm)],[6638, 6634])).
% 53.67/33.86 tff(6640,plain,(
% 53.67/33.86 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 53.67/33.86 inference(skolemize,[status(sab)],[6639])).
% 53.67/33.86 tff(6641,plain,
% 53.67/33.86 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))),
% 53.67/33.86 inference(modus_ponens,[status(thm)],[6640, 6633])).
% 53.67/33.86 tff(6642,plain,
% 53.67/33.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB27, constB28)) | (~v110(constB28)) | v108(constB27))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB27, constB28)) | (~v110(constB28)) | v108(constB27))),
% 53.67/33.86 inference(rewrite,[status(thm)],[])).
% 53.67/33.86 tff(6643,plain,
% 53.67/33.86 (((~nextState(constB27, constB28)) | v108(constB27) | (~v110(constB28))) <=> ((~nextState(constB27, constB28)) | (~v110(constB28)) | v108(constB27))),
% 53.67/33.86 inference(rewrite,[status(thm)],[])).
% 53.67/33.86 tff(6644,plain,
% 53.67/33.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB27, constB28)) | v108(constB27) | (~v110(constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB27, constB28)) | (~v110(constB28)) | v108(constB27)))),
% 53.67/33.86 inference(monotonicity,[status(thm)],[6643])).
% 53.67/33.86 tff(6645,plain,
% 53.67/33.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB27, constB28)) | v108(constB27) | (~v110(constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB27, constB28)) | (~v110(constB28)) | v108(constB27))),
% 53.67/33.86 inference(transitivity,[status(thm)],[6644, 6642])).
% 53.67/33.86 tff(6646,plain,
% 53.67/33.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB27, constB28)) | v108(constB27) | (~v110(constB28)))),
% 53.67/33.86 inference(quant_inst,[status(thm)],[])).
% 53.67/33.86 tff(6647,plain,
% 53.67/33.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB27, constB28)) | (~v110(constB28)) | v108(constB27)),
% 53.67/33.86 inference(modus_ponens,[status(thm)],[6646, 6645])).
% 53.67/33.86 tff(6648,plain,
% 53.67/33.86 ((~v110(constB28)) | v108(constB27)),
% 53.67/33.86 inference(unit_resolution,[status(thm)],[6647, 6641, 6312])).
% 53.67/33.86 tff(6649,plain,
% 53.67/33.86 (v108(constB27)),
% 53.67/33.86 inference(unit_resolution,[status(thm)],[6648, 6631])).
% 53.67/33.86 tff(6650,plain,
% 53.67/33.86 (^[VarCurr: state_type] : refl((v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr))) <=> (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr))))),
% 53.67/33.86 inference(bind,[status(th)],[])).
% 53.67/33.86 tff(6651,plain,
% 53.67/33.86 (![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 53.67/33.86 inference(quant_intro,[status(thm)],[6650])).
% 53.67/33.86 tff(6652,plain,
% 53.67/33.86 (![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 53.67/33.86 inference(rewrite,[status(thm)],[])).
% 53.67/33.86 tff(6653,plain,
% 53.67/33.86 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v108(VarCurr)) | v26(VarCurr)) <=> (v26(VarCurr) | (~v108(VarCurr)))), ((((~v108(VarCurr)) | v26(VarCurr)) | v112(VarCurr)) <=> ((v26(VarCurr) | (~v108(VarCurr))) | v112(VarCurr)))), rewrite(((v26(VarCurr) | (~v108(VarCurr))) | v112(VarCurr)) <=> (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))), ((((~v108(VarCurr)) | v26(VarCurr)) | v112(VarCurr)) <=> (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))))),
% 53.67/33.86 inference(bind,[status(th)],[])).
% 53.67/33.86 tff(6654,plain,
% 53.67/33.86 (![VarCurr: state_type] : (((~v108(VarCurr)) | v26(VarCurr)) | v112(VarCurr)) <=> ![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 53.67/33.86 inference(quant_intro,[status(thm)],[6653])).
% 53.67/33.86 tff(6655,axiom,(![VarCurr: state_type] : (((~v108(VarCurr)) | v26(VarCurr)) | v112(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_26_1_1_3')).
% 53.67/33.86 tff(6656,plain,
% 53.67/33.86 (![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 53.67/33.86 inference(modus_ponens,[status(thm)],[6655, 6654])).
% 53.67/33.86 tff(6657,plain,
% 53.67/33.86 (![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 53.67/33.86 inference(modus_ponens,[status(thm)],[6656, 6652])).
% 53.67/33.86 tff(6658,plain,(
% 53.67/33.86 ![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 53.67/33.86 inference(skolemize,[status(sab)],[6657])).
% 53.67/33.86 tff(6659,plain,
% 53.67/33.86 (![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))),
% 53.67/33.86 inference(modus_ponens,[status(thm)],[6658, 6651])).
% 53.67/33.86 tff(6660,plain,
% 53.67/33.86 (((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | ((~v108(constB27)) | v26(constB27) | v112(constB27))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB27)) | v26(constB27) | v112(constB27))),
% 53.67/33.86 inference(rewrite,[status(thm)],[])).
% 53.67/33.86 tff(6661,plain,
% 53.67/33.86 ((v26(constB27) | v112(constB27) | (~v108(constB27))) <=> ((~v108(constB27)) | v26(constB27) | v112(constB27))),
% 53.67/33.86 inference(rewrite,[status(thm)],[])).
% 53.67/33.86 tff(6662,plain,
% 53.67/33.86 (((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB27) | v112(constB27) | (~v108(constB27)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | ((~v108(constB27)) | v26(constB27) | v112(constB27)))),
% 53.67/33.86 inference(monotonicity,[status(thm)],[6661])).
% 53.67/33.86 tff(6663,plain,
% 53.67/33.86 (((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB27) | v112(constB27) | (~v108(constB27)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB27)) | v26(constB27) | v112(constB27))),
% 53.67/33.86 inference(transitivity,[status(thm)],[6662, 6660])).
% 53.67/33.86 tff(6664,plain,
% 53.67/33.86 ((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB27) | v112(constB27) | (~v108(constB27)))),
% 53.67/33.86 inference(quant_inst,[status(thm)],[])).
% 53.67/33.86 tff(6665,plain,
% 53.67/33.86 ((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB27)) | v26(constB27) | v112(constB27)),
% 53.67/33.86 inference(modus_ponens,[status(thm)],[6664, 6663])).
% 53.67/33.86 tff(6666,plain,
% 53.67/33.86 ((~v108(constB27)) | v112(constB27)),
% 53.67/33.86 inference(unit_resolution,[status(thm)],[6665, 6659, 6294])).
% 53.67/33.86 tff(6667,plain,
% 53.67/33.86 (v112(constB27)),
% 53.67/33.86 inference(unit_resolution,[status(thm)],[6666, 6649])).
% 53.67/33.86 tff(6668,plain,
% 53.67/33.86 (^[VarCurr: state_type] : refl((v113(VarCurr) | (~v112(VarCurr))) <=> (v113(VarCurr) | (~v112(VarCurr))))),
% 53.67/33.86 inference(bind,[status(th)],[])).
% 53.67/33.86 tff(6669,plain,
% 53.67/33.86 (![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr))) <=> ![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))),
% 53.67/33.86 inference(quant_intro,[status(thm)],[6668])).
% 53.67/33.86 tff(6670,plain,
% 53.67/33.86 (![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr))) <=> ![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))),
% 53.67/33.86 inference(rewrite,[status(thm)],[])).
% 53.67/33.86 tff(6671,plain,
% 53.67/33.86 (^[VarCurr: state_type] : rewrite(((~v112(VarCurr)) | v113(VarCurr)) <=> (v113(VarCurr) | (~v112(VarCurr))))),
% 53.67/33.86 inference(bind,[status(th)],[])).
% 53.67/33.86 tff(6672,plain,
% 53.67/33.86 (![VarCurr: state_type] : ((~v112(VarCurr)) | v113(VarCurr)) <=> ![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))),
% 53.67/33.86 inference(quant_intro,[status(thm)],[6671])).
% 53.67/33.86 tff(6673,axiom,(![VarCurr: state_type] : ((~v112(VarCurr)) | v113(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_25_1_1_2')).
% 53.67/33.86 tff(6674,plain,
% 53.67/33.86 (![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))),
% 53.67/33.86 inference(modus_ponens,[status(thm)],[6673, 6672])).
% 53.67/33.86 tff(6675,plain,
% 53.67/33.86 (![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))),
% 53.67/33.86 inference(modus_ponens,[status(thm)],[6674, 6670])).
% 53.67/33.86 tff(6676,plain,(
% 53.67/33.86 ![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))),
% 53.67/33.86 inference(skolemize,[status(sab)],[6675])).
% 53.67/33.86 tff(6677,plain,
% 53.67/33.86 (![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))),
% 53.67/33.86 inference(modus_ponens,[status(thm)],[6676, 6669])).
% 53.67/33.86 tff(6678,plain,
% 53.67/33.86 (((~![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))) | (v113(constB27) | (~v112(constB27)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))) | v113(constB27) | (~v112(constB27)))),
% 53.67/33.86 inference(rewrite,[status(thm)],[])).
% 53.67/33.86 tff(6679,plain,
% 53.67/33.86 ((~![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))) | (v113(constB27) | (~v112(constB27)))),
% 53.67/33.86 inference(quant_inst,[status(thm)],[])).
% 53.67/33.86 tff(6680,plain,
% 53.67/33.86 ((~![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))) | v113(constB27) | (~v112(constB27))),
% 53.67/33.86 inference(modus_ponens,[status(thm)],[6679, 6678])).
% 53.67/33.86 tff(6681,plain,
% 53.67/33.86 (v113(constB27)),
% 53.67/33.86 inference(unit_resolution,[status(thm)],[6680, 6677, 6667])).
% 53.67/33.86 tff(6682,plain,
% 53.67/33.86 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB27)) | (~v130(constB27, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB27)) | (~v130(constB27, 2)))),
% 53.67/33.86 inference(rewrite,[status(thm)],[])).
% 53.67/33.86 tff(6683,plain,
% 53.67/33.86 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB27)) | (~v130(constB27, 2)))),
% 53.67/33.86 inference(quant_inst,[status(thm)],[])).
% 53.67/33.86 tff(6684,plain,
% 53.67/33.86 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB27)) | (~v130(constB27, 2))),
% 53.67/33.86 inference(modus_ponens,[status(thm)],[6683, 6682])).
% 53.67/33.86 tff(6685,plain,
% 53.67/33.86 (~v121(constB27)),
% 53.67/33.86 inference(unit_resolution,[status(thm)],[6684, 1821, 6625])).
% 53.67/33.86 tff(6686,plain,
% 53.67/33.86 (^[VarCurr: state_type] : refl(((~v124(VarCurr)) | v90(VarCurr, 0)) <=> ((~v124(VarCurr)) | v90(VarCurr, 0)))),
% 53.67/33.86 inference(bind,[status(th)],[])).
% 53.67/33.86 tff(6687,plain,
% 53.67/33.86 (![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))),
% 53.67/33.86 inference(quant_intro,[status(thm)],[6686])).
% 53.67/33.86 tff(6688,plain,
% 53.67/33.86 (![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))),
% 53.67/33.86 inference(rewrite,[status(thm)],[])).
% 53.67/33.86 tff(6689,axiom,(![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_3')).
% 53.67/33.86 tff(6690,plain,
% 53.67/33.86 (![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))),
% 53.67/33.86 inference(modus_ponens,[status(thm)],[6689, 6688])).
% 53.67/33.86 tff(6691,plain,(
% 53.67/33.86 ![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))),
% 53.70/33.86 inference(skolemize,[status(sab)],[6690])).
% 53.70/33.86 tff(6692,plain,
% 53.70/33.86 (![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))),
% 53.70/33.86 inference(modus_ponens,[status(thm)],[6691, 6687])).
% 53.70/33.86 tff(6693,plain,
% 53.70/33.86 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB29)) | v90(constB29, 0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB29)) | v90(constB29, 0))),
% 53.70/33.86 inference(rewrite,[status(thm)],[])).
% 53.70/33.86 tff(6694,plain,
% 53.70/33.86 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB29)) | v90(constB29, 0))),
% 53.70/33.86 inference(quant_inst,[status(thm)],[])).
% 53.70/33.86 tff(6695,plain,
% 53.70/33.86 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB29)) | v90(constB29, 0)),
% 53.70/33.86 inference(modus_ponens,[status(thm)],[6694, 6693])).
% 53.70/33.86 tff(6696,plain,
% 53.70/33.86 (v90(constB29, 0)),
% 53.70/33.86 inference(unit_resolution,[status(thm)],[6695, 6692, 6609])).
% 53.70/33.86 tff(6697,plain,
% 53.70/33.86 (v90(constB28, 0)),
% 53.70/33.86 inference(unit_resolution,[status(thm)],[6516, 6696])).
% 53.70/33.86 tff(6698,plain,
% 53.70/33.86 (v129(constB28, 0)),
% 53.70/33.86 inference(unit_resolution,[status(thm)],[6506, 1704, 6622, 6697])).
% 53.70/33.86 tff(6699,plain,
% 53.70/33.86 (v127(constB27, 0)),
% 53.70/33.86 inference(unit_resolution,[status(thm)],[6499, 6698])).
% 53.70/33.86 tff(6700,plain,
% 53.70/33.86 (v130(constB27, 0)),
% 53.70/33.86 inference(unit_resolution,[status(thm)],[6494, 6699])).
% 53.70/33.86 tff(6701,plain,
% 53.70/33.86 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB27)) | (~v130(constB27, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB27)) | (~v130(constB27, 0)))),
% 53.70/33.86 inference(rewrite,[status(thm)],[])).
% 53.70/33.86 tff(6702,plain,
% 53.70/33.86 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB27)) | (~v130(constB27, 0)))),
% 53.70/33.86 inference(quant_inst,[status(thm)],[])).
% 53.70/33.86 tff(6703,plain,
% 53.70/33.86 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB27)) | (~v130(constB27, 0))),
% 53.70/33.86 inference(modus_ponens,[status(thm)],[6702, 6701])).
% 53.70/33.86 tff(6704,plain,
% 53.70/33.86 (~v122(constB27)),
% 53.70/33.86 inference(unit_resolution,[status(thm)],[6703, 2407, 6700])).
% 53.70/33.86 tff(6705,plain,
% 53.70/33.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB26, 2)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB26, 2)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, 2))),
% 53.70/33.86 inference(rewrite,[status(thm)],[])).
% 53.70/33.86 tff(6706,plain,
% 53.70/33.86 (((~nextState(constB26, constB27)) | (~v90(constB26, 2)) | v100(constB27) | v90(constB27, 2)) <=> ((~v90(constB26, 2)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, 2))),
% 53.70/33.86 inference(rewrite,[status(thm)],[])).
% 53.70/33.86 tff(6707,plain,
% 53.70/33.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB26, constB27)) | (~v90(constB26, 2)) | v100(constB27) | v90(constB27, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB26, 2)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, 2)))),
% 53.70/33.86 inference(monotonicity,[status(thm)],[6706])).
% 53.70/33.86 tff(6708,plain,
% 53.70/33.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB26, constB27)) | (~v90(constB26, 2)) | v100(constB27) | v90(constB27, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB26, 2)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, 2))),
% 53.70/33.86 inference(transitivity,[status(thm)],[6707, 6705])).
% 53.70/33.86 tff(6709,plain,
% 53.70/33.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB26, constB27)) | (~v90(constB26, 2)) | v100(constB27) | v90(constB27, 2))),
% 53.70/33.86 inference(quant_inst,[status(thm)],[])).
% 53.70/33.86 tff(6710,plain,
% 53.70/33.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB26, 2)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, 2)),
% 53.70/33.86 inference(modus_ponens,[status(thm)],[6709, 6708])).
% 53.70/33.86 tff(6711,plain,
% 53.70/33.86 ((~v90(constB26, 2)) | v100(constB27) | v90(constB27, 2)),
% 53.70/33.86 inference(unit_resolution,[status(thm)],[6710, 2174, 6160])).
% 53.70/33.86 tff(6712,plain,
% 53.70/33.86 ((~v90(constB26, 2)) | v90(constB27, 2)),
% 53.70/33.86 inference(unit_resolution,[status(thm)],[6711, 6172])).
% 53.70/33.86 tff(6713,plain,
% 53.70/33.86 (~v90(constB26, 2)),
% 53.70/33.86 inference(unit_resolution,[status(thm)],[6712, 6208])).
% 53.70/33.86 tff(6714,plain,
% 53.70/33.86 (^[VarCurr: state_type] : refl(((~v125(VarCurr)) | v90(VarCurr, 2)) <=> ((~v125(VarCurr)) | v90(VarCurr, 2)))),
% 53.70/33.86 inference(bind,[status(th)],[])).
% 53.70/33.86 tff(6715,plain,
% 53.70/33.86 (![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, 2))),
% 53.70/33.86 inference(quant_intro,[status(thm)],[6714])).
% 53.70/33.86 tff(6716,plain,
% 53.70/33.86 (![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, 2))),
% 53.70/33.86 inference(rewrite,[status(thm)],[])).
% 53.70/33.86 tff(6717,axiom,(![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, 2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_8_1_1_2')).
% 53.70/33.86 tff(6718,plain,
% 53.70/33.86 (![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, 2))),
% 53.70/33.86 inference(modus_ponens,[status(thm)],[6717, 6716])).
% 53.70/33.86 tff(6719,plain,(
% 53.70/33.86 ![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, 2))),
% 53.70/33.86 inference(skolemize,[status(sab)],[6718])).
% 53.70/33.86 tff(6720,plain,
% 53.70/33.86 (![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, 2))),
% 53.70/33.86 inference(modus_ponens,[status(thm)],[6719, 6715])).
% 53.70/33.86 tff(6721,plain,
% 53.70/33.86 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, 2))) | ((~v125(constB27)) | v90(constB27, 2))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, 2))) | (~v125(constB27)) | v90(constB27, 2))),
% 53.70/33.86 inference(rewrite,[status(thm)],[])).
% 53.70/33.86 tff(6722,plain,
% 53.70/33.86 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, 2))) | ((~v125(constB27)) | v90(constB27, 2))),
% 53.70/33.86 inference(quant_inst,[status(thm)],[])).
% 53.70/33.86 tff(6723,plain,
% 53.70/33.86 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, 2))) | (~v125(constB27)) | v90(constB27, 2)),
% 53.70/33.86 inference(modus_ponens,[status(thm)],[6722, 6721])).
% 53.70/33.86 tff(6724,plain,
% 53.70/33.86 (~v125(constB27)),
% 53.70/33.86 inference(unit_resolution,[status(thm)],[6723, 6720, 6208])).
% 53.70/33.86 tff(6725,assumption,(v113(constB27)), introduced(assumption)).
% 53.70/33.86 tff(6726,plain,
% 53.70/33.86 (^[VarCurr: state_type] : refl((v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr))) <=> (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr))))),
% 53.70/33.86 inference(bind,[status(th)],[])).
% 53.70/33.86 tff(6727,plain,
% 53.70/33.86 (![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr))) <=> ![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 53.70/33.86 inference(quant_intro,[status(thm)],[6726])).
% 53.70/33.86 tff(6728,plain,
% 53.70/33.86 (![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr))) <=> ![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 53.70/33.86 inference(rewrite,[status(thm)],[])).
% 53.70/33.86 tff(6729,plain,
% 53.70/33.86 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v113(VarCurr)) | v114(VarCurr)) <=> (v114(VarCurr) | (~v113(VarCurr)))), ((((~v113(VarCurr)) | v114(VarCurr)) | v125(VarCurr)) <=> ((v114(VarCurr) | (~v113(VarCurr))) | v125(VarCurr)))), rewrite(((v114(VarCurr) | (~v113(VarCurr))) | v125(VarCurr)) <=> (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))), ((((~v113(VarCurr)) | v114(VarCurr)) | v125(VarCurr)) <=> (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))))),
% 53.70/33.86 inference(bind,[status(th)],[])).
% 53.70/33.86 tff(6730,plain,
% 53.70/33.86 (![VarCurr: state_type] : (((~v113(VarCurr)) | v114(VarCurr)) | v125(VarCurr)) <=> ![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 53.70/33.86 inference(quant_intro,[status(thm)],[6729])).
% 53.70/33.86 tff(6731,axiom,(![VarCurr: state_type] : (((~v113(VarCurr)) | v114(VarCurr)) | v125(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_24_1_3')).
% 53.70/33.86 tff(6732,plain,
% 53.70/33.86 (![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 53.70/33.86 inference(modus_ponens,[status(thm)],[6731, 6730])).
% 53.70/33.86 tff(6733,plain,
% 53.70/33.86 (![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 53.70/33.86 inference(modus_ponens,[status(thm)],[6732, 6728])).
% 53.70/33.86 tff(6734,plain,(
% 53.70/33.86 ![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 53.70/33.86 inference(skolemize,[status(sab)],[6733])).
% 53.70/33.86 tff(6735,plain,
% 53.70/33.86 (![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))),
% 53.70/33.86 inference(modus_ponens,[status(thm)],[6734, 6727])).
% 53.70/33.86 tff(6736,plain,
% 53.70/33.86 (((~![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | (v114(constB27) | v125(constB27) | (~v113(constB27)))) <=> ((~![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | v114(constB27) | v125(constB27) | (~v113(constB27)))),
% 53.70/33.86 inference(rewrite,[status(thm)],[])).
% 53.70/33.86 tff(6737,plain,
% 53.70/33.86 ((~![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | (v114(constB27) | v125(constB27) | (~v113(constB27)))),
% 53.70/33.86 inference(quant_inst,[status(thm)],[])).
% 53.70/33.86 tff(6738,plain,
% 53.70/33.86 ((~![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | v114(constB27) | v125(constB27) | (~v113(constB27))),
% 53.70/33.86 inference(modus_ponens,[status(thm)],[6737, 6736])).
% 53.70/33.86 tff(6739,plain,
% 53.70/33.86 (v114(constB27) | v125(constB27)),
% 53.70/33.86 inference(unit_resolution,[status(thm)],[6738, 6735, 6725])).
% 53.70/33.86 tff(6740,plain,
% 53.70/33.86 (v114(constB27)),
% 53.70/33.86 inference(unit_resolution,[status(thm)],[6739, 6724])).
% 53.70/33.86 tff(6741,plain,
% 53.70/33.86 (^[VarCurr: state_type] : refl((v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr))) <=> (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr))))),
% 53.70/33.86 inference(bind,[status(th)],[])).
% 53.70/33.86 tff(6742,plain,
% 53.70/33.86 (![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr))) <=> ![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 53.70/33.86 inference(quant_intro,[status(thm)],[6741])).
% 53.70/33.86 tff(6743,plain,
% 53.70/33.86 (![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr))) <=> ![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 53.70/33.86 inference(rewrite,[status(thm)],[])).
% 53.70/33.86 tff(6744,plain,
% 53.70/33.86 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v114(VarCurr)) | v115(VarCurr)) <=> (v115(VarCurr) | (~v114(VarCurr)))), ((((~v114(VarCurr)) | v115(VarCurr)) | v124(VarCurr)) <=> ((v115(VarCurr) | (~v114(VarCurr))) | v124(VarCurr)))), rewrite(((v115(VarCurr) | (~v114(VarCurr))) | v124(VarCurr)) <=> (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))), ((((~v114(VarCurr)) | v115(VarCurr)) | v124(VarCurr)) <=> (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))))),
% 53.70/33.86 inference(bind,[status(th)],[])).
% 53.70/33.86 tff(6745,plain,
% 53.70/33.86 (![VarCurr: state_type] : (((~v114(VarCurr)) | v115(VarCurr)) | v124(VarCurr)) <=> ![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 53.70/33.86 inference(quant_intro,[status(thm)],[6744])).
% 53.70/33.86 tff(6746,axiom,(![VarCurr: state_type] : (((~v114(VarCurr)) | v115(VarCurr)) | v124(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_23_1_3')).
% 53.70/33.86 tff(6747,plain,
% 53.70/33.86 (![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 53.70/33.86 inference(modus_ponens,[status(thm)],[6746, 6745])).
% 53.70/33.86 tff(6748,plain,
% 53.70/33.86 (![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 53.70/33.86 inference(modus_ponens,[status(thm)],[6747, 6743])).
% 53.70/33.86 tff(6749,plain,(
% 53.70/33.86 ![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 53.70/33.86 inference(skolemize,[status(sab)],[6748])).
% 53.70/33.86 tff(6750,plain,
% 53.70/33.86 (![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))),
% 53.70/33.86 inference(modus_ponens,[status(thm)],[6749, 6742])).
% 53.70/33.86 tff(6751,plain,
% 53.70/33.86 (((~![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | (v115(constB27) | v124(constB27) | (~v114(constB27)))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | v115(constB27) | v124(constB27) | (~v114(constB27)))),
% 53.70/33.86 inference(rewrite,[status(thm)],[])).
% 53.70/33.86 tff(6752,plain,
% 53.70/33.86 ((~![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | (v115(constB27) | v124(constB27) | (~v114(constB27)))),
% 53.70/33.86 inference(quant_inst,[status(thm)],[])).
% 53.70/33.86 tff(6753,plain,
% 53.70/33.86 ((~![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | v115(constB27) | v124(constB27) | (~v114(constB27))),
% 53.70/33.86 inference(modus_ponens,[status(thm)],[6752, 6751])).
% 53.70/33.86 tff(6754,plain,
% 53.70/33.86 (v115(constB27) | (~v114(constB27))),
% 53.70/33.86 inference(unit_resolution,[status(thm)],[6753, 6750, 6243])).
% 53.70/33.86 tff(6755,plain,
% 53.70/33.86 (v115(constB27)),
% 53.70/33.86 inference(unit_resolution,[status(thm)],[6754, 6740])).
% 53.70/33.86 tff(6756,plain,
% 53.70/33.86 (^[VarCurr: state_type] : refl((v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr))) <=> (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr))))),
% 53.70/33.86 inference(bind,[status(th)],[])).
% 53.70/33.86 tff(6757,plain,
% 53.70/33.86 (![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr))) <=> ![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 53.70/33.86 inference(quant_intro,[status(thm)],[6756])).
% 53.70/33.86 tff(6758,plain,
% 53.70/33.86 (![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr))) <=> ![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 53.70/33.86 inference(rewrite,[status(thm)],[])).
% 53.70/33.86 tff(6759,plain,
% 53.70/33.86 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v115(VarCurr)) | v116(VarCurr)) <=> (v116(VarCurr) | (~v115(VarCurr)))), ((((~v115(VarCurr)) | v116(VarCurr)) | v123(VarCurr)) <=> ((v116(VarCurr) | (~v115(VarCurr))) | v123(VarCurr)))), rewrite(((v116(VarCurr) | (~v115(VarCurr))) | v123(VarCurr)) <=> (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))), ((((~v115(VarCurr)) | v116(VarCurr)) | v123(VarCurr)) <=> (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))))),
% 53.70/33.86 inference(bind,[status(th)],[])).
% 53.70/33.86 tff(6760,plain,
% 53.70/33.86 (![VarCurr: state_type] : (((~v115(VarCurr)) | v116(VarCurr)) | v123(VarCurr)) <=> ![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 53.70/33.86 inference(quant_intro,[status(thm)],[6759])).
% 53.70/33.86 tff(6761,axiom,(![VarCurr: state_type] : (((~v115(VarCurr)) | v116(VarCurr)) | v123(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_22_1_3')).
% 53.70/33.86 tff(6762,plain,
% 53.70/33.86 (![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 53.70/33.86 inference(modus_ponens,[status(thm)],[6761, 6760])).
% 53.70/33.86 tff(6763,plain,
% 53.70/33.86 (![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 53.70/33.86 inference(modus_ponens,[status(thm)],[6762, 6758])).
% 53.70/33.86 tff(6764,plain,(
% 53.70/33.86 ![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 53.70/33.86 inference(skolemize,[status(sab)],[6763])).
% 53.70/33.86 tff(6765,plain,
% 53.70/33.86 (![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))),
% 53.70/33.86 inference(modus_ponens,[status(thm)],[6764, 6757])).
% 53.70/33.86 tff(6766,plain,
% 53.70/33.86 (((~![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | (v116(constB27) | v123(constB27) | (~v115(constB27)))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | v116(constB27) | v123(constB27) | (~v115(constB27)))),
% 53.70/33.86 inference(rewrite,[status(thm)],[])).
% 53.70/33.86 tff(6767,plain,
% 53.70/33.86 ((~![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | (v116(constB27) | v123(constB27) | (~v115(constB27)))),
% 53.70/33.86 inference(quant_inst,[status(thm)],[])).
% 53.70/33.86 tff(6768,plain,
% 53.70/33.86 ((~![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | v116(constB27) | v123(constB27) | (~v115(constB27))),
% 53.70/33.86 inference(modus_ponens,[status(thm)],[6767, 6766])).
% 53.70/33.86 tff(6769,plain,
% 53.70/33.86 (v116(constB27) | (~v115(constB27))),
% 53.70/33.86 inference(unit_resolution,[status(thm)],[6768, 6765, 6225])).
% 53.70/33.86 tff(6770,plain,
% 53.70/33.86 (v116(constB27)),
% 53.70/33.86 inference(unit_resolution,[status(thm)],[6769, 6755])).
% 53.70/33.86 tff(6771,assumption,(~v122(constB27)), introduced(assumption)).
% 53.70/33.86 tff(6772,plain,
% 53.70/33.86 (^[VarCurr: state_type] : refl((v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr))) <=> (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr))))),
% 53.70/33.86 inference(bind,[status(th)],[])).
% 53.70/33.86 tff(6773,plain,
% 53.70/33.86 (![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr))) <=> ![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 53.70/33.86 inference(quant_intro,[status(thm)],[6772])).
% 53.70/33.86 tff(6774,plain,
% 53.70/33.86 (![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr))) <=> ![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 53.70/33.86 inference(rewrite,[status(thm)],[])).
% 53.70/33.86 tff(6775,plain,
% 53.70/33.86 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v116(VarCurr)) | v117(VarCurr)) <=> (v117(VarCurr) | (~v116(VarCurr)))), ((((~v116(VarCurr)) | v117(VarCurr)) | v122(VarCurr)) <=> ((v117(VarCurr) | (~v116(VarCurr))) | v122(VarCurr)))), rewrite(((v117(VarCurr) | (~v116(VarCurr))) | v122(VarCurr)) <=> (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))), ((((~v116(VarCurr)) | v117(VarCurr)) | v122(VarCurr)) <=> (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))))),
% 53.70/33.86 inference(bind,[status(th)],[])).
% 53.70/33.86 tff(6776,plain,
% 53.70/33.86 (![VarCurr: state_type] : (((~v116(VarCurr)) | v117(VarCurr)) | v122(VarCurr)) <=> ![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 53.70/33.86 inference(quant_intro,[status(thm)],[6775])).
% 53.70/33.86 tff(6777,axiom,(![VarCurr: state_type] : (((~v116(VarCurr)) | v117(VarCurr)) | v122(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_21_1_3')).
% 53.70/33.86 tff(6778,plain,
% 53.70/33.86 (![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 53.70/33.86 inference(modus_ponens,[status(thm)],[6777, 6776])).
% 53.70/33.86 tff(6779,plain,
% 53.70/33.86 (![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 53.70/33.86 inference(modus_ponens,[status(thm)],[6778, 6774])).
% 53.70/33.86 tff(6780,plain,(
% 53.70/33.86 ![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 53.70/33.86 inference(skolemize,[status(sab)],[6779])).
% 53.70/33.86 tff(6781,plain,
% 53.70/33.86 (![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))),
% 53.70/33.86 inference(modus_ponens,[status(thm)],[6780, 6773])).
% 53.70/33.86 tff(6782,plain,
% 53.70/33.86 (((~![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | (v117(constB27) | v122(constB27) | (~v116(constB27)))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | v117(constB27) | v122(constB27) | (~v116(constB27)))),
% 53.70/33.86 inference(rewrite,[status(thm)],[])).
% 53.70/33.86 tff(6783,plain,
% 53.70/33.86 ((~![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | (v117(constB27) | v122(constB27) | (~v116(constB27)))),
% 53.70/33.86 inference(quant_inst,[status(thm)],[])).
% 53.70/33.86 tff(6784,plain,
% 53.70/33.86 ((~![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | v117(constB27) | v122(constB27) | (~v116(constB27))),
% 53.70/33.86 inference(modus_ponens,[status(thm)],[6783, 6782])).
% 53.70/33.86 tff(6785,plain,
% 53.70/33.86 (v117(constB27) | (~v116(constB27))),
% 53.70/33.86 inference(unit_resolution,[status(thm)],[6784, 6781, 6771])).
% 53.70/33.86 tff(6786,plain,
% 53.70/33.86 (v117(constB27)),
% 53.70/33.86 inference(unit_resolution,[status(thm)],[6785, 6770])).
% 53.70/33.86 tff(6787,assumption,(~v121(constB27)), introduced(assumption)).
% 53.70/33.86 tff(6788,plain,
% 53.70/33.86 (^[VarCurr: state_type] : refl((v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr))) <=> (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr))))),
% 53.70/33.86 inference(bind,[status(th)],[])).
% 53.70/33.86 tff(6789,plain,
% 53.70/33.86 (![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr))) <=> ![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 53.70/33.86 inference(quant_intro,[status(thm)],[6788])).
% 53.70/33.86 tff(6790,plain,
% 53.70/33.86 (![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr))) <=> ![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 53.70/33.86 inference(rewrite,[status(thm)],[])).
% 53.70/33.86 tff(6791,plain,
% 53.70/33.86 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v117(VarCurr)) | v118(VarCurr)) <=> (v118(VarCurr) | (~v117(VarCurr)))), ((((~v117(VarCurr)) | v118(VarCurr)) | v121(VarCurr)) <=> ((v118(VarCurr) | (~v117(VarCurr))) | v121(VarCurr)))), rewrite(((v118(VarCurr) | (~v117(VarCurr))) | v121(VarCurr)) <=> (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))), ((((~v117(VarCurr)) | v118(VarCurr)) | v121(VarCurr)) <=> (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))))),
% 53.70/33.86 inference(bind,[status(th)],[])).
% 53.70/33.86 tff(6792,plain,
% 53.70/33.86 (![VarCurr: state_type] : (((~v117(VarCurr)) | v118(VarCurr)) | v121(VarCurr)) <=> ![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 53.70/33.86 inference(quant_intro,[status(thm)],[6791])).
% 53.70/33.86 tff(6793,axiom,(![VarCurr: state_type] : (((~v117(VarCurr)) | v118(VarCurr)) | v121(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_20_1_3')).
% 53.70/33.86 tff(6794,plain,
% 53.70/33.86 (![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 53.70/33.86 inference(modus_ponens,[status(thm)],[6793, 6792])).
% 53.70/33.86 tff(6795,plain,
% 53.70/33.86 (![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 53.70/33.86 inference(modus_ponens,[status(thm)],[6794, 6790])).
% 53.70/33.86 tff(6796,plain,(
% 53.70/33.86 ![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 53.70/33.86 inference(skolemize,[status(sab)],[6795])).
% 53.70/33.86 tff(6797,plain,
% 53.70/33.86 (![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))),
% 53.70/33.86 inference(modus_ponens,[status(thm)],[6796, 6789])).
% 53.70/33.86 tff(6798,plain,
% 53.70/33.86 (((~![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | (v118(constB27) | v121(constB27) | (~v117(constB27)))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | v118(constB27) | v121(constB27) | (~v117(constB27)))),
% 53.70/33.86 inference(rewrite,[status(thm)],[])).
% 53.70/33.86 tff(6799,plain,
% 53.70/33.86 ((~![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | (v118(constB27) | v121(constB27) | (~v117(constB27)))),
% 53.70/33.86 inference(quant_inst,[status(thm)],[])).
% 53.70/33.86 tff(6800,plain,
% 53.70/33.86 ((~![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | v118(constB27) | v121(constB27) | (~v117(constB27))),
% 53.70/33.86 inference(modus_ponens,[status(thm)],[6799, 6798])).
% 53.70/33.86 tff(6801,plain,
% 53.70/33.86 (v118(constB27) | (~v117(constB27))),
% 53.70/33.86 inference(unit_resolution,[status(thm)],[6800, 6797, 6787])).
% 53.70/33.86 tff(6802,plain,
% 53.70/33.86 (v118(constB27)),
% 53.70/33.86 inference(unit_resolution,[status(thm)],[6801, 6786])).
% 53.70/33.86 tff(6803,plain,
% 53.70/33.86 (^[VarCurr: state_type] : refl((v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr))) <=> (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr))))),
% 53.70/33.86 inference(bind,[status(th)],[])).
% 53.70/33.86 tff(6804,plain,
% 53.70/33.86 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr))) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))),
% 53.70/33.86 inference(quant_intro,[status(thm)],[6803])).
% 53.70/33.86 tff(6805,plain,
% 53.70/33.86 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr))) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))),
% 53.70/33.86 inference(rewrite,[status(thm)],[])).
% 53.70/33.86 tff(6806,plain,
% 53.70/33.86 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v118(VarCurr)) | v119(VarCurr)) <=> (v119(VarCurr) | (~v118(VarCurr)))), ((((~v118(VarCurr)) | v119(VarCurr)) | v120(VarCurr)) <=> ((v119(VarCurr) | (~v118(VarCurr))) | v120(VarCurr)))), rewrite(((v119(VarCurr) | (~v118(VarCurr))) | v120(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))), ((((~v118(VarCurr)) | v119(VarCurr)) | v120(VarCurr)) <=> (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))))),
% 53.70/33.86 inference(bind,[status(th)],[])).
% 53.70/33.86 tff(6807,plain,
% 53.70/33.86 (![VarCurr: state_type] : (((~v118(VarCurr)) | v119(VarCurr)) | v120(VarCurr)) <=> ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))),
% 53.70/33.86 inference(quant_intro,[status(thm)],[6806])).
% 53.70/33.86 tff(6808,axiom,(![VarCurr: state_type] : (((~v118(VarCurr)) | v119(VarCurr)) | v120(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_19_1_3')).
% 53.70/33.86 tff(6809,plain,
% 53.70/33.86 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))),
% 53.70/33.86 inference(modus_ponens,[status(thm)],[6808, 6807])).
% 53.70/33.86 tff(6810,plain,
% 53.70/33.86 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))),
% 53.70/33.86 inference(modus_ponens,[status(thm)],[6809, 6805])).
% 53.70/33.86 tff(6811,plain,(
% 53.70/33.86 ![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))),
% 53.70/33.86 inference(skolemize,[status(sab)],[6810])).
% 53.70/33.86 tff(6812,plain,
% 53.70/33.86 (![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))),
% 53.70/33.86 inference(modus_ponens,[status(thm)],[6811, 6804])).
% 53.70/33.86 tff(6813,plain,
% 53.70/33.86 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))) | (v119(constB27) | v120(constB27) | (~v118(constB27)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))) | v119(constB27) | v120(constB27) | (~v118(constB27)))),
% 53.70/33.86 inference(rewrite,[status(thm)],[])).
% 53.70/33.86 tff(6814,plain,
% 53.70/33.86 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))) | (v119(constB27) | v120(constB27) | (~v118(constB27)))),
% 53.70/33.86 inference(quant_inst,[status(thm)],[])).
% 53.70/33.86 tff(6815,plain,
% 53.70/33.86 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))) | v119(constB27) | v120(constB27) | (~v118(constB27))),
% 53.70/33.86 inference(modus_ponens,[status(thm)],[6814, 6813])).
% 53.70/33.86 tff(6816,plain,
% 53.70/33.86 (v119(constB27) | (~v118(constB27))),
% 53.70/33.86 inference(unit_resolution,[status(thm)],[6815, 6812, 6249])).
% 53.70/33.86 tff(6817,plain,
% 53.70/33.86 (v119(constB27)),
% 53.70/33.86 inference(unit_resolution,[status(thm)],[6816, 6802])).
% 53.70/33.86 tff(6818,plain,
% 53.70/33.86 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v119(constB27)) | (~v90(constB27, 0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | (~v119(constB27)) | (~v90(constB27, 0)))),
% 53.70/33.86 inference(rewrite,[status(thm)],[])).
% 53.70/33.86 tff(6819,plain,
% 53.70/33.86 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v119(constB27)) | (~v90(constB27, 0)))),
% 53.70/33.86 inference(quant_inst,[status(thm)],[])).
% 53.70/33.86 tff(6820,plain,
% 53.70/33.86 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | (~v119(constB27)) | (~v90(constB27, 0))),
% 53.70/33.86 inference(modus_ponens,[status(thm)],[6819, 6818])).
% 53.70/33.86 tff(6821,plain,
% 53.70/33.86 (~v90(constB27, 0)),
% 53.70/33.86 inference(unit_resolution,[status(thm)],[6820, 5865, 6817])).
% 53.70/33.86 tff(6822,plain,
% 53.70/33.86 (~v90(constB26, 0)),
% 53.70/33.86 inference(unit_resolution,[status(thm)],[6401, 6821])).
% 53.70/33.86 tff(6823,plain,
% 53.70/33.86 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB27)) | (~v90(constB27, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB27)) | (~v90(constB27, 1)))),
% 53.70/33.86 inference(rewrite,[status(thm)],[])).
% 53.70/33.86 tff(6824,plain,
% 53.70/33.86 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB27)) | (~v90(constB27, 1)))),
% 53.70/33.86 inference(quant_inst,[status(thm)],[])).
% 53.70/33.86 tff(6825,plain,
% 53.70/33.86 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB27)) | (~v90(constB27, 1))),
% 53.70/33.86 inference(modus_ponens,[status(thm)],[6824, 6823])).
% 53.70/33.86 tff(6826,plain,
% 53.70/33.86 (~v90(constB27, 1)),
% 53.70/33.86 inference(unit_resolution,[status(thm)],[6825, 2868, 6817])).
% 53.70/33.86 tff(6827,plain,
% 53.70/33.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB26, 1)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB26, 1)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, 1))),
% 53.70/33.86 inference(rewrite,[status(thm)],[])).
% 53.70/33.86 tff(6828,plain,
% 53.70/33.86 (((~nextState(constB26, constB27)) | (~v90(constB26, 1)) | v100(constB27) | v90(constB27, 1)) <=> ((~v90(constB26, 1)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, 1))),
% 53.70/33.86 inference(rewrite,[status(thm)],[])).
% 53.70/33.86 tff(6829,plain,
% 53.70/33.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB26, constB27)) | (~v90(constB26, 1)) | v100(constB27) | v90(constB27, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB26, 1)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, 1)))),
% 53.70/33.86 inference(monotonicity,[status(thm)],[6828])).
% 53.70/33.86 tff(6830,plain,
% 53.70/33.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB26, constB27)) | (~v90(constB26, 1)) | v100(constB27) | v90(constB27, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB26, 1)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, 1))),
% 53.70/33.86 inference(transitivity,[status(thm)],[6829, 6827])).
% 53.70/33.86 tff(6831,plain,
% 53.70/33.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB26, constB27)) | (~v90(constB26, 1)) | v100(constB27) | v90(constB27, 1))),
% 53.70/33.86 inference(quant_inst,[status(thm)],[])).
% 53.70/33.86 tff(6832,plain,
% 53.70/33.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB26, 1)) | (~nextState(constB26, constB27)) | v100(constB27) | v90(constB27, 1)),
% 53.70/33.86 inference(modus_ponens,[status(thm)],[6831, 6830])).
% 53.70/33.86 tff(6833,plain,
% 53.70/33.86 ((~v90(constB26, 1)) | v100(constB27) | v90(constB27, 1)),
% 53.70/33.86 inference(unit_resolution,[status(thm)],[6832, 1641, 6160])).
% 53.70/33.86 tff(6834,plain,
% 53.70/33.86 ((~v90(constB26, 1)) | v90(constB27, 1)),
% 53.70/33.86 inference(unit_resolution,[status(thm)],[6833, 6172])).
% 53.70/33.86 tff(6835,plain,
% 53.70/33.86 (~v90(constB26, 1)),
% 53.70/33.86 inference(unit_resolution,[status(thm)],[6834, 6826])).
% 53.70/33.86 tff(6836,plain,
% 53.70/33.86 ($false),
% 53.70/33.86 inference(unit_resolution,[status(thm)],[4964, 6835, 6822, 6713])).
% 53.70/33.86 tff(6837,plain,(v90(constB27, 2) | v120(constB27) | v121(constB27) | v122(constB27) | v123(constB27) | v124(constB27) | (~v113(constB27))), inference(lemma,lemma(discharge,[]))).
% 53.70/33.86 tff(6838,plain,
% 53.70/33.86 ($false),
% 53.70/33.86 inference(unit_resolution,[status(thm)],[6837, 6704, 6685, 6208, 6681, 6212, 6216, 6626])).
% 53.70/33.86 tff(6839,plain,((~v124(constB29)) | v90(constB27, 2)), inference(lemma,lemma(discharge,[]))).
% 53.70/33.86 tff(6840,plain,
% 53.70/33.86 (~v124(constB29)),
% 53.70/33.86 inference(unit_resolution,[status(thm)],[6839, 6181])).
% 53.70/33.86 tff(6841,plain,
% 53.70/33.86 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB29)) | (~v90(constB29, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB29)) | (~v90(constB29, 1)))),
% 53.70/33.86 inference(rewrite,[status(thm)],[])).
% 53.70/33.86 tff(6842,plain,
% 53.70/33.86 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB29)) | (~v90(constB29, 1)))),
% 53.70/33.86 inference(quant_inst,[status(thm)],[])).
% 53.70/33.86 tff(6843,plain,
% 53.70/33.86 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB29)) | (~v90(constB29, 1))),
% 53.70/33.86 inference(modus_ponens,[status(thm)],[6842, 6841])).
% 53.70/33.86 tff(6844,plain,
% 53.70/33.86 (~v120(constB29)),
% 53.70/33.86 inference(unit_resolution,[status(thm)],[6843, 2846, 6483])).
% 53.70/33.86 tff(6845,plain,
% 53.70/33.86 (^[VarCurr: state_type] : refl(((~v122(VarCurr)) | v90(VarCurr, 0)) <=> ((~v122(VarCurr)) | v90(VarCurr, 0)))),
% 53.70/33.86 inference(bind,[status(th)],[])).
% 53.70/33.86 tff(6846,plain,
% 53.70/33.86 (![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))),
% 53.70/33.86 inference(quant_intro,[status(thm)],[6845])).
% 53.70/33.86 tff(6847,plain,
% 53.70/33.86 (![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))),
% 53.70/33.86 inference(rewrite,[status(thm)],[])).
% 53.70/33.86 tff(6848,axiom,(![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_3')).
% 53.70/33.86 tff(6849,plain,
% 53.70/33.86 (![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))),
% 53.70/33.86 inference(modus_ponens,[status(thm)],[6848, 6847])).
% 53.70/33.86 tff(6850,plain,(
% 53.70/33.86 ![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))),
% 53.70/33.86 inference(skolemize,[status(sab)],[6849])).
% 53.70/33.86 tff(6851,plain,
% 53.70/33.86 (![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))),
% 53.70/33.86 inference(modus_ponens,[status(thm)],[6850, 6846])).
% 53.70/33.86 tff(6852,plain,
% 53.70/33.86 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | ((~v122(constB29)) | v90(constB29, 0))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | (~v122(constB29)) | v90(constB29, 0))),
% 53.70/33.86 inference(rewrite,[status(thm)],[])).
% 53.70/33.86 tff(6853,plain,
% 53.70/33.86 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | ((~v122(constB29)) | v90(constB29, 0))),
% 53.70/33.86 inference(quant_inst,[status(thm)],[])).
% 53.70/33.86 tff(6854,plain,
% 53.70/33.86 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | (~v122(constB29)) | v90(constB29, 0)),
% 53.70/33.86 inference(modus_ponens,[status(thm)],[6853, 6852])).
% 53.70/33.86 tff(6855,plain,
% 53.70/33.86 (~v122(constB29)),
% 53.70/33.86 inference(unit_resolution,[status(thm)],[6854, 6851, 6517])).
% 53.70/33.86 tff(6856,assumption,(v130(constB29, 2)), introduced(assumption)).
% 53.70/33.86 tff(6857,assumption,(~v120(constB29)), introduced(assumption)).
% 53.70/33.86 tff(6858,assumption,(~v123(constB29)), introduced(assumption)).
% 53.70/33.86 tff(6859,assumption,(~v119(constB29)), introduced(assumption)).
% 53.70/33.86 tff(6860,assumption,(~v124(constB29)), introduced(assumption)).
% 53.70/33.86 tff(6861,assumption,(~v122(constB29)), introduced(assumption)).
% 53.70/33.86 tff(6862,plain,
% 53.70/33.86 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB29) | v120(constB29) | v121(constB29) | v122(constB29) | v123(constB29) | v124(constB29) | (~v130(constB29, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB29) | v120(constB29) | v121(constB29) | v122(constB29) | v123(constB29) | v124(constB29) | (~v130(constB29, 2)))),
% 53.70/33.86 inference(rewrite,[status(thm)],[])).
% 53.70/33.86 tff(6863,plain,
% 53.70/33.86 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB29) | v120(constB29) | v121(constB29) | v122(constB29) | v123(constB29) | v124(constB29) | (~v130(constB29, 2)))),
% 53.70/33.86 inference(quant_inst,[status(thm)],[])).
% 53.70/33.86 tff(6864,plain,
% 53.70/33.86 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB29) | v120(constB29) | v121(constB29) | v122(constB29) | v123(constB29) | v124(constB29) | (~v130(constB29, 2))),
% 53.70/33.86 inference(modus_ponens,[status(thm)],[6863, 6862])).
% 53.70/33.86 tff(6865,plain,
% 53.70/33.86 (v121(constB29) | (~v130(constB29, 2))),
% 53.70/33.86 inference(unit_resolution,[status(thm)],[6864, 2904, 6861, 6860, 6859, 6858, 6857])).
% 53.70/33.86 tff(6866,plain,
% 53.70/33.86 (v121(constB29)),
% 53.70/33.86 inference(unit_resolution,[status(thm)],[6865, 6856])).
% 53.70/33.86 tff(6867,plain,
% 53.70/33.86 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB29)) | (~v130(constB29, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB29)) | (~v130(constB29, 2)))),
% 53.70/33.86 inference(rewrite,[status(thm)],[])).
% 53.70/33.86 tff(6868,plain,
% 53.70/33.86 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB29)) | (~v130(constB29, 2)))),
% 53.70/33.86 inference(quant_inst,[status(thm)],[])).
% 53.70/33.86 tff(6869,plain,
% 53.70/33.86 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB29)) | (~v130(constB29, 2))),
% 53.70/33.86 inference(modus_ponens,[status(thm)],[6868, 6867])).
% 53.70/33.86 tff(6870,plain,
% 53.70/33.86 ($false),
% 53.70/33.86 inference(unit_resolution,[status(thm)],[6869, 1821, 6856, 6866])).
% 53.70/33.86 tff(6871,plain,((~v130(constB29, 2)) | v122(constB29) | v124(constB29) | v119(constB29) | v123(constB29) | v120(constB29)), inference(lemma,lemma(discharge,[]))).
% 53.70/33.86 tff(6872,plain,
% 53.70/33.86 (~v130(constB29, 2)),
% 53.70/33.86 inference(unit_resolution,[status(thm)],[6871, 6855, 6844, 6840, 6608, 6604])).
% 53.70/33.86 tff(6873,plain,
% 53.70/33.86 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB29, 2)) | v26(constB29) | v130(constB29, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB29, 2)) | v26(constB29) | v130(constB29, 2))),
% 53.70/33.86 inference(rewrite,[status(thm)],[])).
% 53.70/33.86 tff(6874,plain,
% 53.70/33.86 ((v26(constB29) | v130(constB29, 2) | (~v127(constB29, 2))) <=> ((~v127(constB29, 2)) | v26(constB29) | v130(constB29, 2))),
% 53.70/33.86 inference(rewrite,[status(thm)],[])).
% 53.70/33.86 tff(6875,plain,
% 53.70/33.86 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB29) | v130(constB29, 2) | (~v127(constB29, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB29, 2)) | v26(constB29) | v130(constB29, 2)))),
% 53.70/33.86 inference(monotonicity,[status(thm)],[6874])).
% 53.70/33.86 tff(6876,plain,
% 53.70/33.86 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB29) | v130(constB29, 2) | (~v127(constB29, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB29, 2)) | v26(constB29) | v130(constB29, 2))),
% 53.70/33.86 inference(transitivity,[status(thm)],[6875, 6873])).
% 53.70/33.86 tff(6877,plain,
% 53.70/33.86 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB29) | v130(constB29, 2) | (~v127(constB29, 2)))),
% 53.70/33.86 inference(quant_inst,[status(thm)],[])).
% 53.70/33.86 tff(6878,plain,
% 53.70/33.86 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB29, 2)) | v26(constB29) | v130(constB29, 2)),
% 53.70/33.86 inference(modus_ponens,[status(thm)],[6877, 6876])).
% 53.70/33.86 tff(6879,plain,
% 53.70/33.86 ((~v127(constB29, 2)) | v130(constB29, 2)),
% 53.70/33.86 inference(unit_resolution,[status(thm)],[6878, 1190, 6554])).
% 53.70/33.86 tff(6880,plain,
% 53.70/33.86 (~v127(constB29, 2)),
% 53.70/33.86 inference(unit_resolution,[status(thm)],[6879, 6872])).
% 53.70/33.86 tff(6881,plain,
% 53.70/33.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB29, constB30)) | v127(constB29, 2) | (~v129(constB30, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB29, constB30)) | v127(constB29, 2) | (~v129(constB30, 2)))),
% 53.70/33.86 inference(rewrite,[status(thm)],[])).
% 53.70/33.86 tff(6882,plain,
% 53.70/33.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB29, constB30)) | v127(constB29, 2) | (~v129(constB30, 2)))),
% 53.70/33.86 inference(quant_inst,[status(thm)],[])).
% 53.70/33.86 tff(6883,plain,
% 53.70/33.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB29, constB30)) | v127(constB29, 2) | (~v129(constB30, 2))),
% 53.70/33.86 inference(modus_ponens,[status(thm)],[6882, 6881])).
% 53.70/33.86 tff(6884,plain,
% 53.70/33.86 (v127(constB29, 2) | (~v129(constB30, 2))),
% 53.70/33.86 inference(unit_resolution,[status(thm)],[6883, 1208, 6569])).
% 53.70/33.86 tff(6885,plain,
% 53.70/33.86 (~v129(constB30, 2)),
% 53.70/33.86 inference(unit_resolution,[status(thm)],[6884, 6880])).
% 53.70/33.86 tff(6886,plain,
% 53.70/33.86 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB30, 2)) | v129(constB30, 2) | (~v100(constB30)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB30, 2)) | v129(constB30, 2) | (~v100(constB30)))),
% 53.70/33.86 inference(rewrite,[status(thm)],[])).
% 53.70/33.86 tff(6887,plain,
% 53.70/33.86 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB30, 2)) | v129(constB30, 2) | (~v100(constB30)))),
% 53.70/33.86 inference(quant_inst,[status(thm)],[])).
% 53.70/33.87 tff(6888,plain,
% 53.70/33.87 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB30, 2)) | v129(constB30, 2) | (~v100(constB30))),
% 53.70/33.87 inference(modus_ponens,[status(thm)],[6887, 6886])).
% 53.70/33.87 tff(6889,plain,
% 53.70/33.87 ((~v90(constB30, 2)) | (~v100(constB30))),
% 53.70/33.87 inference(unit_resolution,[status(thm)],[6888, 1223, 6885])).
% 53.70/33.87 tff(6890,plain,
% 53.70/33.87 (~v90(constB30, 2)),
% 53.70/33.87 inference(unit_resolution,[status(thm)],[6889, 6600])).
% 53.70/33.87 tff(6891,plain,
% 53.70/33.87 ((~v1(constB31)) <=> (~v1(constB31))),
% 53.70/33.87 inference(rewrite,[status(thm)],[])).
% 53.70/33.87 tff(6892,axiom,(~v1(constB31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_31_1_1')).
% 53.70/33.87 tff(6893,plain,
% 53.70/33.87 (~v1(constB31)),
% 53.70/33.87 inference(modus_ponens,[status(thm)],[6892, 6891])).
% 53.70/33.87 tff(6894,plain,
% 53.70/33.87 (nextState(constB30, constB31) <=> nextState(constB30, constB31)),
% 53.70/33.87 inference(rewrite,[status(thm)],[])).
% 53.70/33.87 tff(6895,axiom,(nextState(constB30, constB31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_30_1')).
% 53.70/33.87 tff(6896,plain,
% 53.70/33.87 (nextState(constB30, constB31)),
% 53.70/33.87 inference(modus_ponens,[status(thm)],[6895, 6894])).
% 53.70/33.87 tff(6897,plain,
% 53.70/33.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31)))),
% 53.70/33.87 inference(rewrite,[status(thm)],[])).
% 53.70/33.87 tff(6898,plain,
% 53.70/33.87 (((~nextState(constB30, constB31)) | (~v101(constB31)) | v1(constB31)) <=> (v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31)))),
% 53.70/33.87 inference(rewrite,[status(thm)],[])).
% 53.70/33.87 tff(6899,plain,
% 53.70/33.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB30, constB31)) | (~v101(constB31)) | v1(constB31))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31))))),
% 53.70/33.87 inference(monotonicity,[status(thm)],[6898])).
% 53.70/33.87 tff(6900,plain,
% 53.70/33.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB30, constB31)) | (~v101(constB31)) | v1(constB31))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31)))),
% 53.70/33.87 inference(transitivity,[status(thm)],[6899, 6897])).
% 53.70/33.87 tff(6901,plain,
% 53.70/33.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB30, constB31)) | (~v101(constB31)) | v1(constB31))),
% 53.70/33.87 inference(quant_inst,[status(thm)],[])).
% 53.70/33.87 tff(6902,plain,
% 53.70/33.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB31) | (~nextState(constB30, constB31)) | (~v101(constB31))),
% 53.70/33.87 inference(modus_ponens,[status(thm)],[6901, 6900])).
% 53.70/33.87 tff(6903,plain,
% 53.70/33.87 (~v101(constB31)),
% 53.70/33.87 inference(unit_resolution,[status(thm)],[6902, 873, 6896, 6893])).
% 53.70/33.87 tff(6904,plain,
% 53.70/33.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB30, constB31)) | v101(constB31) | (~v100(constB31)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB30, constB31)) | v101(constB31) | (~v100(constB31)))),
% 53.70/33.87 inference(rewrite,[status(thm)],[])).
% 53.70/33.87 tff(6905,plain,
% 53.70/33.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB30, constB31)) | v101(constB31) | (~v100(constB31)))),
% 53.70/33.87 inference(quant_inst,[status(thm)],[])).
% 53.70/33.87 tff(6906,plain,
% 53.70/33.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB30, constB31)) | v101(constB31) | (~v100(constB31))),
% 53.70/33.87 inference(modus_ponens,[status(thm)],[6905, 6904])).
% 53.70/33.87 tff(6907,plain,
% 53.70/33.87 (v101(constB31) | (~v100(constB31))),
% 53.70/33.87 inference(unit_resolution,[status(thm)],[6906, 890, 6896])).
% 53.70/33.87 tff(6908,plain,
% 53.70/33.87 (~v100(constB31)),
% 53.70/33.87 inference(unit_resolution,[status(thm)],[6907, 6903])).
% 53.70/33.87 tff(6909,plain,
% 53.70/33.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB30, 2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB30, 2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, 2)))),
% 53.70/33.87 inference(rewrite,[status(thm)],[])).
% 53.70/33.87 tff(6910,plain,
% 53.70/33.87 (((~nextState(constB30, constB31)) | v90(constB30, 2) | v100(constB31) | (~v90(constB31, 2))) <=> (v90(constB30, 2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, 2)))),
% 53.70/33.87 inference(rewrite,[status(thm)],[])).
% 53.70/33.87 tff(6911,plain,
% 53.70/33.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB30, constB31)) | v90(constB30, 2) | v100(constB31) | (~v90(constB31, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB30, 2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, 2))))),
% 53.70/33.87 inference(monotonicity,[status(thm)],[6910])).
% 53.70/33.87 tff(6912,plain,
% 53.70/33.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB30, constB31)) | v90(constB30, 2) | v100(constB31) | (~v90(constB31, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB30, 2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, 2)))),
% 53.70/33.87 inference(transitivity,[status(thm)],[6911, 6909])).
% 53.70/33.87 tff(6913,plain,
% 53.70/33.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB30, constB31)) | v90(constB30, 2) | v100(constB31) | (~v90(constB31, 2)))),
% 53.70/33.87 inference(quant_inst,[status(thm)],[])).
% 53.70/33.87 tff(6914,plain,
% 53.70/33.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB30, 2) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, 2))),
% 53.70/33.87 inference(modus_ponens,[status(thm)],[6913, 6912])).
% 53.70/33.87 tff(6915,plain,
% 53.70/33.87 (v90(constB30, 2) | v100(constB31) | (~v90(constB31, 2))),
% 53.70/33.87 inference(unit_resolution,[status(thm)],[6914, 905, 6896])).
% 53.70/33.87 tff(6916,plain,
% 53.70/33.87 (v90(constB30, 2) | (~v90(constB31, 2))),
% 53.70/33.87 inference(unit_resolution,[status(thm)],[6915, 6908])).
% 53.70/33.87 tff(6917,plain,
% 53.70/33.87 (~v90(constB31, 2)),
% 53.70/33.87 inference(unit_resolution,[status(thm)],[6916, 6890])).
% 53.70/33.87 tff(6918,plain,
% 53.70/33.87 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB29)) | v130(constB29, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB29)) | v130(constB29, 1))),
% 53.70/33.87 inference(rewrite,[status(thm)],[])).
% 53.70/33.87 tff(6919,plain,
% 53.70/33.87 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB29)) | v130(constB29, 1))),
% 53.70/33.87 inference(quant_inst,[status(thm)],[])).
% 53.70/33.87 tff(6920,plain,
% 53.70/33.87 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB29)) | v130(constB29, 1)),
% 53.70/33.87 inference(modus_ponens,[status(thm)],[6919, 6918])).
% 53.70/33.87 tff(6921,plain,
% 53.70/33.87 (v130(constB29, 1)),
% 53.70/33.87 inference(unit_resolution,[status(thm)],[6920, 1877, 6521])).
% 53.70/33.87 tff(6922,plain,
% 53.70/33.87 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB29) | (~v130(constB29, 1)) | v127(constB29, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB29) | (~v130(constB29, 1)) | v127(constB29, 1))),
% 53.70/33.87 inference(rewrite,[status(thm)],[])).
% 53.70/33.87 tff(6923,plain,
% 53.70/33.87 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB29) | (~v130(constB29, 1)) | v127(constB29, 1))),
% 53.70/33.87 inference(quant_inst,[status(thm)],[])).
% 53.70/33.87 tff(6924,plain,
% 53.70/33.87 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB29) | (~v130(constB29, 1)) | v127(constB29, 1)),
% 53.70/33.87 inference(modus_ponens,[status(thm)],[6923, 6922])).
% 53.70/33.87 tff(6925,plain,
% 53.70/33.87 ((~v130(constB29, 1)) | v127(constB29, 1)),
% 53.70/33.87 inference(unit_resolution,[status(thm)],[6924, 1593, 6554])).
% 53.70/33.87 tff(6926,plain,
% 53.70/33.87 (v127(constB29, 1)),
% 53.70/33.87 inference(unit_resolution,[status(thm)],[6925, 6921])).
% 53.70/33.87 tff(6927,plain,
% 53.70/33.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB29, constB30)) | (~v127(constB29, 1)) | v129(constB30, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB29, constB30)) | (~v127(constB29, 1)) | v129(constB30, 1))),
% 53.70/33.87 inference(rewrite,[status(thm)],[])).
% 53.70/33.87 tff(6928,plain,
% 53.70/33.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB29, constB30)) | (~v127(constB29, 1)) | v129(constB30, 1))),
% 53.70/33.87 inference(quant_inst,[status(thm)],[])).
% 53.70/33.87 tff(6929,plain,
% 53.70/33.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB29, constB30)) | (~v127(constB29, 1)) | v129(constB30, 1)),
% 53.70/33.87 inference(modus_ponens,[status(thm)],[6928, 6927])).
% 53.70/33.87 tff(6930,plain,
% 53.70/33.87 ((~v127(constB29, 1)) | v129(constB30, 1)),
% 53.70/33.87 inference(unit_resolution,[status(thm)],[6929, 1608, 6569])).
% 53.70/33.87 tff(6931,plain,
% 53.70/33.87 (v129(constB30, 1)),
% 53.70/33.87 inference(unit_resolution,[status(thm)],[6930, 6926])).
% 53.70/33.87 tff(6932,plain,
% 53.70/33.87 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB30, 1) | (~v129(constB30, 1)) | (~v100(constB30)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB30, 1) | (~v129(constB30, 1)) | (~v100(constB30)))),
% 53.70/33.87 inference(rewrite,[status(thm)],[])).
% 53.70/33.87 tff(6933,plain,
% 53.70/33.87 ((v90(constB30, 1) | (~v100(constB30)) | (~v129(constB30, 1))) <=> (v90(constB30, 1) | (~v129(constB30, 1)) | (~v100(constB30)))),
% 53.70/33.87 inference(rewrite,[status(thm)],[])).
% 53.70/33.87 tff(6934,plain,
% 53.70/33.87 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB30, 1) | (~v100(constB30)) | (~v129(constB30, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB30, 1) | (~v129(constB30, 1)) | (~v100(constB30))))),
% 53.70/33.87 inference(monotonicity,[status(thm)],[6933])).
% 53.70/33.87 tff(6935,plain,
% 53.70/33.87 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB30, 1) | (~v100(constB30)) | (~v129(constB30, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB30, 1) | (~v129(constB30, 1)) | (~v100(constB30)))),
% 53.70/33.87 inference(transitivity,[status(thm)],[6934, 6932])).
% 53.70/33.87 tff(6936,plain,
% 53.70/33.87 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB30, 1) | (~v100(constB30)) | (~v129(constB30, 1)))),
% 53.70/33.87 inference(quant_inst,[status(thm)],[])).
% 53.70/33.87 tff(6937,plain,
% 53.70/33.87 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB30, 1) | (~v129(constB30, 1)) | (~v100(constB30))),
% 53.70/33.87 inference(modus_ponens,[status(thm)],[6936, 6935])).
% 53.70/33.87 tff(6938,plain,
% 53.70/33.87 (v90(constB30, 1) | (~v100(constB30))),
% 53.70/33.87 inference(unit_resolution,[status(thm)],[6937, 1623, 6931])).
% 53.70/33.87 tff(6939,plain,
% 53.70/33.87 (v90(constB30, 1)),
% 53.70/33.87 inference(unit_resolution,[status(thm)],[6938, 6600])).
% 53.70/33.87 tff(6940,plain,
% 53.70/33.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB30, 1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB30, 1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 1))),
% 53.70/33.87 inference(rewrite,[status(thm)],[])).
% 53.70/33.87 tff(6941,plain,
% 53.70/33.87 (((~nextState(constB30, constB31)) | (~v90(constB30, 1)) | v100(constB31) | v90(constB31, 1)) <=> ((~v90(constB30, 1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 1))),
% 53.70/33.87 inference(rewrite,[status(thm)],[])).
% 53.70/33.87 tff(6942,plain,
% 53.70/33.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB30, constB31)) | (~v90(constB30, 1)) | v100(constB31) | v90(constB31, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB30, 1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 1)))),
% 53.70/33.87 inference(monotonicity,[status(thm)],[6941])).
% 53.70/33.87 tff(6943,plain,
% 53.70/33.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB30, constB31)) | (~v90(constB30, 1)) | v100(constB31) | v90(constB31, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB30, 1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 1))),
% 53.70/33.87 inference(transitivity,[status(thm)],[6942, 6940])).
% 53.70/33.87 tff(6944,plain,
% 53.70/33.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB30, constB31)) | (~v90(constB30, 1)) | v100(constB31) | v90(constB31, 1))),
% 53.70/33.87 inference(quant_inst,[status(thm)],[])).
% 53.70/33.87 tff(6945,plain,
% 53.70/33.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB30, 1)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 1)),
% 53.70/33.87 inference(modus_ponens,[status(thm)],[6944, 6943])).
% 53.70/33.87 tff(6946,plain,
% 53.70/33.87 ((~v90(constB30, 1)) | v100(constB31) | v90(constB31, 1)),
% 53.70/33.87 inference(unit_resolution,[status(thm)],[6945, 1641, 6896])).
% 53.70/33.87 tff(6947,plain,
% 53.70/33.87 ((~v90(constB30, 1)) | v90(constB31, 1)),
% 53.70/33.87 inference(unit_resolution,[status(thm)],[6946, 6908])).
% 53.70/33.87 tff(6948,plain,
% 53.70/33.87 (v90(constB31, 1)),
% 53.70/33.87 inference(unit_resolution,[status(thm)],[6947, 6939])).
% 53.70/33.87 tff(6949,plain,
% 53.70/33.87 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB29)) | v130(constB29, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB29)) | v130(constB29, 0))),
% 53.70/33.87 inference(rewrite,[status(thm)],[])).
% 53.70/33.87 tff(6950,plain,
% 53.70/33.87 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB29)) | v130(constB29, 0))),
% 53.70/33.87 inference(quant_inst,[status(thm)],[])).
% 53.70/33.87 tff(6951,plain,
% 53.70/33.87 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB29)) | v130(constB29, 0)),
% 53.70/33.87 inference(modus_ponens,[status(thm)],[6950, 6949])).
% 53.70/33.87 tff(6952,plain,
% 53.70/33.87 (v130(constB29, 0)),
% 53.70/33.87 inference(unit_resolution,[status(thm)],[6951, 1915, 6521])).
% 53.70/33.87 tff(6953,plain,
% 53.70/33.87 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB29) | (~v130(constB29, 0)) | v127(constB29, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB29) | (~v130(constB29, 0)) | v127(constB29, 0))),
% 53.70/33.87 inference(rewrite,[status(thm)],[])).
% 53.70/33.87 tff(6954,plain,
% 53.70/33.87 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB29) | (~v130(constB29, 0)) | v127(constB29, 0))),
% 53.70/33.87 inference(quant_inst,[status(thm)],[])).
% 53.70/33.87 tff(6955,plain,
% 53.70/33.87 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB29) | (~v130(constB29, 0)) | v127(constB29, 0)),
% 53.70/33.87 inference(modus_ponens,[status(thm)],[6954, 6953])).
% 53.70/33.87 tff(6956,plain,
% 53.70/33.87 ((~v130(constB29, 0)) | v127(constB29, 0)),
% 53.70/33.87 inference(unit_resolution,[status(thm)],[6955, 1347, 6554])).
% 53.70/33.87 tff(6957,plain,
% 53.70/33.87 (v127(constB29, 0)),
% 53.70/33.87 inference(unit_resolution,[status(thm)],[6956, 6952])).
% 53.70/33.87 tff(6958,plain,
% 53.70/33.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB29, constB30)) | (~v127(constB29, 0)) | v129(constB30, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB29, constB30)) | (~v127(constB29, 0)) | v129(constB30, 0))),
% 53.70/33.87 inference(rewrite,[status(thm)],[])).
% 53.70/33.87 tff(6959,plain,
% 53.70/33.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB29, constB30)) | (~v127(constB29, 0)) | v129(constB30, 0))),
% 53.70/33.87 inference(quant_inst,[status(thm)],[])).
% 53.70/33.87 tff(6960,plain,
% 53.70/33.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB29, constB30)) | (~v127(constB29, 0)) | v129(constB30, 0)),
% 53.70/33.87 inference(modus_ponens,[status(thm)],[6959, 6958])).
% 53.70/33.87 tff(6961,plain,
% 53.70/33.87 ((~v127(constB29, 0)) | v129(constB30, 0)),
% 53.70/33.87 inference(unit_resolution,[status(thm)],[6960, 1362, 6569])).
% 53.70/33.87 tff(6962,plain,
% 53.70/33.87 (v129(constB30, 0)),
% 53.70/33.87 inference(unit_resolution,[status(thm)],[6961, 6957])).
% 53.70/33.87 tff(6963,plain,
% 53.70/33.87 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB30, 0) | (~v129(constB30, 0)) | (~v100(constB30)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB30, 0) | (~v129(constB30, 0)) | (~v100(constB30)))),
% 53.70/33.87 inference(rewrite,[status(thm)],[])).
% 53.70/33.87 tff(6964,plain,
% 53.70/33.87 ((v90(constB30, 0) | (~v100(constB30)) | (~v129(constB30, 0))) <=> (v90(constB30, 0) | (~v129(constB30, 0)) | (~v100(constB30)))),
% 53.70/33.87 inference(rewrite,[status(thm)],[])).
% 53.70/33.87 tff(6965,plain,
% 53.70/33.87 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB30, 0) | (~v100(constB30)) | (~v129(constB30, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB30, 0) | (~v129(constB30, 0)) | (~v100(constB30))))),
% 53.70/33.87 inference(monotonicity,[status(thm)],[6964])).
% 53.70/33.87 tff(6966,plain,
% 53.70/33.87 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB30, 0) | (~v100(constB30)) | (~v129(constB30, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB30, 0) | (~v129(constB30, 0)) | (~v100(constB30)))),
% 53.70/33.87 inference(transitivity,[status(thm)],[6965, 6963])).
% 53.70/33.87 tff(6967,plain,
% 53.70/33.87 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB30, 0) | (~v100(constB30)) | (~v129(constB30, 0)))),
% 53.70/33.87 inference(quant_inst,[status(thm)],[])).
% 53.70/33.87 tff(6968,plain,
% 53.70/33.87 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB30, 0) | (~v129(constB30, 0)) | (~v100(constB30))),
% 53.70/33.87 inference(modus_ponens,[status(thm)],[6967, 6966])).
% 53.70/33.87 tff(6969,plain,
% 53.70/33.87 (v90(constB30, 0) | (~v100(constB30))),
% 53.70/33.87 inference(unit_resolution,[status(thm)],[6968, 1377, 6962])).
% 53.70/33.87 tff(6970,plain,
% 53.70/33.87 (v90(constB30, 0)),
% 53.70/33.87 inference(unit_resolution,[status(thm)],[6969, 6600])).
% 53.70/33.87 tff(6971,plain,
% 53.70/33.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB30, 0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB30, 0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 0))),
% 53.70/33.87 inference(rewrite,[status(thm)],[])).
% 53.70/33.87 tff(6972,plain,
% 53.70/33.87 (((~nextState(constB30, constB31)) | (~v90(constB30, 0)) | v100(constB31) | v90(constB31, 0)) <=> ((~v90(constB30, 0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 0))),
% 53.70/33.87 inference(rewrite,[status(thm)],[])).
% 53.70/33.87 tff(6973,plain,
% 53.70/33.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB30, constB31)) | (~v90(constB30, 0)) | v100(constB31) | v90(constB31, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB30, 0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 0)))),
% 53.70/33.87 inference(monotonicity,[status(thm)],[6972])).
% 53.70/33.87 tff(6974,plain,
% 53.70/33.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB30, constB31)) | (~v90(constB30, 0)) | v100(constB31) | v90(constB31, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB30, 0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 0))),
% 53.70/33.87 inference(transitivity,[status(thm)],[6973, 6971])).
% 53.70/33.87 tff(6975,plain,
% 53.70/33.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB30, constB31)) | (~v90(constB30, 0)) | v100(constB31) | v90(constB31, 0))),
% 53.70/33.87 inference(quant_inst,[status(thm)],[])).
% 53.70/33.87 tff(6976,plain,
% 53.70/33.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB30, 0)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 0)),
% 53.70/33.87 inference(modus_ponens,[status(thm)],[6975, 6974])).
% 53.70/33.87 tff(6977,plain,
% 53.70/33.87 ((~v90(constB30, 0)) | v100(constB31) | v90(constB31, 0)),
% 53.70/33.87 inference(unit_resolution,[status(thm)],[6976, 1395, 6896])).
% 53.70/33.87 tff(6978,plain,
% 53.70/33.87 ((~v90(constB30, 0)) | v90(constB31, 0)),
% 53.70/33.87 inference(unit_resolution,[status(thm)],[6977, 6908])).
% 53.70/33.87 tff(6979,plain,
% 53.70/33.87 (v90(constB31, 0)),
% 53.70/33.87 inference(unit_resolution,[status(thm)],[6978, 6970])).
% 53.70/33.87 tff(6980,plain,
% 53.70/33.87 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB31, 0)) | (~v90(constB31, 1)) | v90(constB31, 2) | v122(constB31))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB31, 0)) | (~v90(constB31, 1)) | v90(constB31, 2) | v122(constB31))),
% 53.70/33.87 inference(rewrite,[status(thm)],[])).
% 53.70/33.87 tff(6981,plain,
% 53.70/33.87 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB31, 0)) | (~v90(constB31, 1)) | v90(constB31, 2) | v122(constB31))),
% 53.70/33.87 inference(quant_inst,[status(thm)],[])).
% 53.70/33.87 tff(6982,plain,
% 53.70/33.87 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB31, 0)) | (~v90(constB31, 1)) | v90(constB31, 2) | v122(constB31)),
% 53.70/33.87 inference(modus_ponens,[status(thm)],[6981, 6980])).
% 53.70/33.87 tff(6983,plain,
% 53.70/33.87 (v122(constB31)),
% 53.70/33.87 inference(unit_resolution,[status(thm)],[6982, 1956, 6979, 6948, 6917])).
% 53.70/33.87 tff(6984,plain,
% 53.70/33.87 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB31)) | v116(constB31))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB31)) | v116(constB31))),
% 53.70/33.87 inference(rewrite,[status(thm)],[])).
% 53.70/33.87 tff(6985,plain,
% 53.70/33.87 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB31)) | v116(constB31))),
% 53.70/33.87 inference(quant_inst,[status(thm)],[])).
% 53.70/33.87 tff(6986,plain,
% 53.70/33.87 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB31)) | v116(constB31)),
% 53.70/33.87 inference(modus_ponens,[status(thm)],[6985, 6984])).
% 53.70/33.87 tff(6987,plain,
% 53.70/33.87 (v116(constB31)),
% 53.70/33.87 inference(unit_resolution,[status(thm)],[6986, 2120, 6983])).
% 53.70/33.87 tff(6988,plain,
% 53.70/33.87 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB31)) | v115(constB31))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB31)) | v115(constB31))),
% 53.70/33.87 inference(rewrite,[status(thm)],[])).
% 53.70/33.87 tff(6989,plain,
% 53.70/33.87 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB31)) | v115(constB31))),
% 53.70/33.87 inference(quant_inst,[status(thm)],[])).
% 53.70/33.87 tff(6990,plain,
% 53.70/33.87 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB31)) | v115(constB31)),
% 53.70/33.87 inference(modus_ponens,[status(thm)],[6989, 6988])).
% 53.70/33.87 tff(6991,plain,
% 53.70/33.87 (v115(constB31)),
% 53.70/33.87 inference(unit_resolution,[status(thm)],[6990, 1021, 6987])).
% 53.70/33.87 tff(6992,plain,
% 53.70/33.87 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB31) | (~v115(constB31)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB31) | (~v115(constB31)))),
% 53.70/33.87 inference(rewrite,[status(thm)],[])).
% 53.70/33.87 tff(6993,plain,
% 53.70/33.87 (((~v115(constB31)) | v114(constB31)) <=> (v114(constB31) | (~v115(constB31)))),
% 53.70/33.87 inference(rewrite,[status(thm)],[])).
% 53.70/33.87 tff(6994,plain,
% 53.70/33.87 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB31)) | v114(constB31))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB31) | (~v115(constB31))))),
% 53.70/33.87 inference(monotonicity,[status(thm)],[6993])).
% 53.70/33.87 tff(6995,plain,
% 53.70/33.87 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB31)) | v114(constB31))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB31) | (~v115(constB31)))),
% 53.70/33.87 inference(transitivity,[status(thm)],[6994, 6992])).
% 53.70/33.87 tff(6996,plain,
% 53.70/33.87 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB31)) | v114(constB31))),
% 53.70/33.87 inference(quant_inst,[status(thm)],[])).
% 53.70/33.87 tff(6997,plain,
% 53.70/33.87 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB31) | (~v115(constB31))),
% 53.70/33.87 inference(modus_ponens,[status(thm)],[6996, 6995])).
% 53.70/33.87 tff(6998,plain,
% 53.70/33.87 (v114(constB31)),
% 53.70/33.87 inference(unit_resolution,[status(thm)],[6997, 1035, 6991])).
% 53.70/33.87 tff(6999,plain,
% 53.70/33.87 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB31) | (~v114(constB31)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB31) | (~v114(constB31)))),
% 53.70/33.87 inference(rewrite,[status(thm)],[])).
% 53.70/33.87 tff(7000,plain,
% 53.70/33.87 (((~v114(constB31)) | v113(constB31)) <=> (v113(constB31) | (~v114(constB31)))),
% 53.70/33.87 inference(rewrite,[status(thm)],[])).
% 53.70/33.87 tff(7001,plain,
% 53.70/33.87 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB31)) | v113(constB31))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB31) | (~v114(constB31))))),
% 53.70/33.87 inference(monotonicity,[status(thm)],[7000])).
% 53.70/33.87 tff(7002,plain,
% 53.70/33.87 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB31)) | v113(constB31))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB31) | (~v114(constB31)))),
% 53.70/33.87 inference(transitivity,[status(thm)],[7001, 6999])).
% 53.70/33.87 tff(7003,plain,
% 53.70/33.87 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB31)) | v113(constB31))),
% 53.70/33.87 inference(quant_inst,[status(thm)],[])).
% 53.70/33.87 tff(7004,plain,
% 53.70/33.87 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB31) | (~v114(constB31))),
% 53.70/33.87 inference(modus_ponens,[status(thm)],[7003, 7002])).
% 53.70/33.87 tff(7005,plain,
% 53.70/33.87 (v113(constB31)),
% 53.70/33.87 inference(unit_resolution,[status(thm)],[7004, 1049, 6998])).
% 53.70/33.87 tff(7006,assumption,(v26(constB31)), introduced(assumption)).
% 53.70/33.87 tff(7007,plain,
% 53.70/33.87 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB31))),
% 53.70/33.87 inference(quant_inst,[status(thm)],[])).
% 53.70/33.87 tff(7008,plain,
% 53.70/33.87 ($false),
% 53.70/33.87 inference(unit_resolution,[status(thm)],[7007, 828, 7006])).
% 53.70/33.87 tff(7009,plain,(~v26(constB31)), inference(lemma,lemma(discharge,[]))).
% 53.70/33.87 tff(7010,plain,
% 53.70/33.87 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB31) | v112(constB31) | (~v113(constB31)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB31) | v112(constB31) | (~v113(constB31)))),
% 53.70/33.87 inference(rewrite,[status(thm)],[])).
% 53.70/33.87 tff(7011,plain,
% 53.70/33.87 ((v26(constB31) | (~v113(constB31)) | v112(constB31)) <=> (v26(constB31) | v112(constB31) | (~v113(constB31)))),
% 53.70/33.87 inference(rewrite,[status(thm)],[])).
% 53.70/33.87 tff(7012,plain,
% 53.70/33.87 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB31) | (~v113(constB31)) | v112(constB31))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB31) | v112(constB31) | (~v113(constB31))))),
% 53.70/33.87 inference(monotonicity,[status(thm)],[7011])).
% 53.70/33.87 tff(7013,plain,
% 53.70/33.87 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB31) | (~v113(constB31)) | v112(constB31))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB31) | v112(constB31) | (~v113(constB31)))),
% 53.70/33.87 inference(transitivity,[status(thm)],[7012, 7010])).
% 53.70/33.87 tff(7014,plain,
% 53.70/33.87 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB31) | (~v113(constB31)) | v112(constB31))),
% 53.70/33.87 inference(quant_inst,[status(thm)],[])).
% 53.70/33.87 tff(7015,plain,
% 53.70/33.87 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB31) | v112(constB31) | (~v113(constB31))),
% 53.70/33.87 inference(modus_ponens,[status(thm)],[7014, 7013])).
% 53.70/33.87 tff(7016,plain,
% 53.70/33.87 (v112(constB31) | (~v113(constB31))),
% 53.70/33.87 inference(unit_resolution,[status(thm)],[7015, 1063, 7009])).
% 53.70/33.87 tff(7017,plain,
% 53.70/33.87 (v112(constB31)),
% 53.70/33.87 inference(unit_resolution,[status(thm)],[7016, 7005])).
% 53.70/33.87 tff(7018,plain,
% 53.70/33.87 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB31) | (~v112(constB31)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB31) | (~v112(constB31)))),
% 53.70/33.87 inference(rewrite,[status(thm)],[])).
% 53.70/33.87 tff(7019,plain,
% 53.70/33.87 (((~v112(constB31)) | v108(constB31)) <=> (v108(constB31) | (~v112(constB31)))),
% 53.70/33.87 inference(rewrite,[status(thm)],[])).
% 53.70/33.87 tff(7020,plain,
% 53.70/33.87 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB31)) | v108(constB31))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB31) | (~v112(constB31))))),
% 53.70/33.87 inference(monotonicity,[status(thm)],[7019])).
% 53.70/33.87 tff(7021,plain,
% 53.70/33.87 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB31)) | v108(constB31))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB31) | (~v112(constB31)))),
% 53.70/33.87 inference(transitivity,[status(thm)],[7020, 7018])).
% 53.70/33.87 tff(7022,plain,
% 53.70/33.87 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB31)) | v108(constB31))),
% 53.70/33.87 inference(quant_inst,[status(thm)],[])).
% 53.70/33.87 tff(7023,plain,
% 53.70/33.87 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB31) | (~v112(constB31))),
% 53.70/33.87 inference(modus_ponens,[status(thm)],[7022, 7021])).
% 53.70/33.87 tff(7024,plain,
% 53.70/33.87 (v108(constB31)),
% 53.70/33.87 inference(unit_resolution,[status(thm)],[7023, 1075, 7017])).
% 53.70/33.87 tff(7025,plain,
% 53.70/33.87 (nextState(constB31, constB32) <=> nextState(constB31, constB32)),
% 53.70/33.87 inference(rewrite,[status(thm)],[])).
% 53.70/33.87 tff(7026,axiom,(nextState(constB31, constB32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_31_1')).
% 53.70/33.87 tff(7027,plain,
% 53.70/33.87 (nextState(constB31, constB32)),
% 53.70/33.87 inference(modus_ponens,[status(thm)],[7026, 7025])).
% 53.70/33.87 tff(7028,plain,
% 53.70/33.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31)))),
% 53.70/33.87 inference(rewrite,[status(thm)],[])).
% 53.70/33.87 tff(7029,plain,
% 53.70/33.87 (((~nextState(constB31, constB32)) | (~v108(constB31)) | v110(constB32)) <=> ((~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31)))),
% 53.70/33.87 inference(rewrite,[status(thm)],[])).
% 53.70/33.87 tff(7030,plain,
% 53.70/33.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB31, constB32)) | (~v108(constB31)) | v110(constB32))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31))))),
% 53.70/33.87 inference(monotonicity,[status(thm)],[7029])).
% 53.70/33.87 tff(7031,plain,
% 53.70/33.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB31, constB32)) | (~v108(constB31)) | v110(constB32))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31)))),
% 53.70/33.87 inference(transitivity,[status(thm)],[7030, 7028])).
% 53.70/33.87 tff(7032,plain,
% 53.70/33.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB31, constB32)) | (~v108(constB31)) | v110(constB32))),
% 53.70/33.87 inference(quant_inst,[status(thm)],[])).
% 53.70/33.87 tff(7033,plain,
% 53.70/33.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB31, constB32)) | v110(constB32) | (~v108(constB31))),
% 53.70/33.87 inference(modus_ponens,[status(thm)],[7032, 7031])).
% 53.70/33.87 tff(7034,plain,
% 53.70/33.87 (v110(constB32) | (~v108(constB31))),
% 53.70/33.87 inference(unit_resolution,[status(thm)],[7033, 1095, 7027])).
% 53.70/33.87 tff(7035,plain,
% 53.70/33.87 (v110(constB32)),
% 53.70/33.87 inference(unit_resolution,[status(thm)],[7034, 7024])).
% 53.70/33.87 tff(7036,plain,
% 53.70/33.87 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB31) | (~nextState(constB31, constB32)) | (~v104(constB32)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB31) | (~nextState(constB31, constB32)) | (~v104(constB32)))),
% 53.70/33.87 inference(rewrite,[status(thm)],[])).
% 53.70/33.87 tff(7037,plain,
% 53.70/33.87 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB31) | (~nextState(constB31, constB32)) | (~v104(constB32)))),
% 53.70/33.87 inference(quant_inst,[status(thm)],[])).
% 53.70/33.87 tff(7038,plain,
% 53.70/33.87 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB31) | (~nextState(constB31, constB32)) | (~v104(constB32))),
% 53.70/33.87 inference(modus_ponens,[status(thm)],[7037, 7036])).
% 53.70/33.87 tff(7039,plain,
% 53.70/33.87 (~v104(constB32)),
% 53.70/33.87 inference(unit_resolution,[status(thm)],[7038, 1113, 7027, 6893])).
% 53.70/33.87 tff(7040,plain,
% 53.70/33.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB31, constB32)) | v102(constB32) | v104(constB32))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB31, constB32)) | v102(constB32) | v104(constB32))),
% 53.70/33.87 inference(rewrite,[status(thm)],[])).
% 53.70/33.87 tff(7041,plain,
% 53.70/33.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB31, constB32)) | v102(constB32) | v104(constB32))),
% 53.70/33.87 inference(quant_inst,[status(thm)],[])).
% 53.70/33.87 tff(7042,plain,
% 53.70/33.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB31, constB32)) | v102(constB32) | v104(constB32)),
% 53.70/33.87 inference(modus_ponens,[status(thm)],[7041, 7040])).
% 53.70/33.87 tff(7043,plain,
% 53.70/33.87 (v102(constB32) | v104(constB32)),
% 53.70/33.87 inference(unit_resolution,[status(thm)],[7042, 1127, 7027])).
% 53.70/33.87 tff(7044,plain,
% 53.70/33.87 (v102(constB32)),
% 53.70/33.87 inference(unit_resolution,[status(thm)],[7043, 7039])).
% 53.70/33.87 tff(7045,plain,
% 53.70/33.87 (v1(constB32) <=> v1(constB32)),
% 53.70/33.87 inference(rewrite,[status(thm)],[])).
% 53.70/33.87 tff(7046,axiom,(v1(constB32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_32_1')).
% 53.70/33.87 tff(7047,plain,
% 53.70/33.87 (v1(constB32)),
% 53.70/33.87 inference(modus_ponens,[status(thm)],[7046, 7045])).
% 53.70/33.87 tff(7048,plain,
% 53.70/33.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB31, constB32)) | v101(constB32) | (~v102(constB32)) | (~v1(constB32)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB31, constB32)) | v101(constB32) | (~v102(constB32)) | (~v1(constB32)))),
% 53.70/33.87 inference(rewrite,[status(thm)],[])).
% 53.70/33.87 tff(7049,plain,
% 53.70/33.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB31, constB32)) | v101(constB32) | (~v102(constB32)) | (~v1(constB32)))),
% 53.70/33.87 inference(quant_inst,[status(thm)],[])).
% 53.70/33.87 tff(7050,plain,
% 53.70/33.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB31, constB32)) | v101(constB32) | (~v102(constB32)) | (~v1(constB32))),
% 53.70/33.87 inference(modus_ponens,[status(thm)],[7049, 7048])).
% 53.70/33.87 tff(7051,plain,
% 53.70/33.87 (v101(constB32) | (~v102(constB32))),
% 53.70/33.87 inference(unit_resolution,[status(thm)],[7050, 1145, 7027, 7047])).
% 53.70/33.87 tff(7052,plain,
% 53.70/33.87 (v101(constB32)),
% 53.70/33.87 inference(unit_resolution,[status(thm)],[7051, 7044])).
% 53.70/33.87 tff(7053,plain,
% 53.70/33.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32)))),
% 53.70/33.87 inference(rewrite,[status(thm)],[])).
% 53.70/33.87 tff(7054,plain,
% 53.70/33.87 (((~nextState(constB31, constB32)) | (~v101(constB32)) | (~v110(constB32)) | v100(constB32)) <=> ((~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32)))),
% 53.70/33.87 inference(rewrite,[status(thm)],[])).
% 53.70/33.87 tff(7055,plain,
% 53.70/33.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB31, constB32)) | (~v101(constB32)) | (~v110(constB32)) | v100(constB32))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32))))),
% 53.70/33.87 inference(monotonicity,[status(thm)],[7054])).
% 53.70/33.87 tff(7056,plain,
% 53.70/33.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB31, constB32)) | (~v101(constB32)) | (~v110(constB32)) | v100(constB32))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32)))),
% 53.70/33.87 inference(transitivity,[status(thm)],[7055, 7053])).
% 53.70/33.87 tff(7057,plain,
% 53.70/33.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB31, constB32)) | (~v101(constB32)) | (~v110(constB32)) | v100(constB32))),
% 53.70/33.87 inference(quant_inst,[status(thm)],[])).
% 53.70/33.87 tff(7058,plain,
% 53.70/33.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB31, constB32)) | v100(constB32) | (~v101(constB32)) | (~v110(constB32))),
% 53.70/33.87 inference(modus_ponens,[status(thm)],[7057, 7056])).
% 53.70/33.87 tff(7059,plain,
% 53.70/33.87 (v100(constB32) | (~v101(constB32)) | (~v110(constB32))),
% 53.70/33.87 inference(unit_resolution,[status(thm)],[7058, 1160, 7027])).
% 53.70/33.87 tff(7060,plain,
% 53.70/33.87 (v100(constB32) | (~v110(constB32))),
% 53.70/33.87 inference(unit_resolution,[status(thm)],[7059, 7052])).
% 53.70/33.87 tff(7061,plain,
% 53.70/33.87 (v100(constB32)),
% 53.70/33.87 inference(unit_resolution,[status(thm)],[7060, 7035])).
% 53.70/33.87 tff(7062,plain,
% 53.70/33.87 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB31)) | (~v130(constB31, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB31)) | (~v130(constB31, 0)))),
% 53.70/33.87 inference(rewrite,[status(thm)],[])).
% 53.70/33.87 tff(7063,plain,
% 53.70/33.87 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB31)) | (~v130(constB31, 0)))),
% 53.70/33.87 inference(quant_inst,[status(thm)],[])).
% 53.70/33.87 tff(7064,plain,
% 53.70/33.87 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB31)) | (~v130(constB31, 0))),
% 53.70/33.87 inference(modus_ponens,[status(thm)],[7063, 7062])).
% 53.70/33.87 tff(7065,plain,
% 53.70/33.87 (~v130(constB31, 0)),
% 53.70/33.87 inference(unit_resolution,[status(thm)],[7064, 2407, 6983])).
% 53.70/33.87 tff(7066,plain,
% 53.70/33.87 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB31, 0)) | v26(constB31) | v130(constB31, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB31, 0)) | v26(constB31) | v130(constB31, 0))),
% 53.70/33.87 inference(rewrite,[status(thm)],[])).
% 53.70/33.87 tff(7067,plain,
% 53.70/33.87 ((v26(constB31) | v130(constB31, 0) | (~v127(constB31, 0))) <=> ((~v127(constB31, 0)) | v26(constB31) | v130(constB31, 0))),
% 53.70/33.87 inference(rewrite,[status(thm)],[])).
% 53.70/33.87 tff(7068,plain,
% 53.70/33.87 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB31) | v130(constB31, 0) | (~v127(constB31, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB31, 0)) | v26(constB31) | v130(constB31, 0)))),
% 53.70/33.87 inference(monotonicity,[status(thm)],[7067])).
% 53.70/33.87 tff(7069,plain,
% 53.70/33.87 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB31) | v130(constB31, 0) | (~v127(constB31, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB31, 0)) | v26(constB31) | v130(constB31, 0))),
% 53.70/33.87 inference(transitivity,[status(thm)],[7068, 7066])).
% 53.70/33.87 tff(7070,plain,
% 53.70/33.87 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB31) | v130(constB31, 0) | (~v127(constB31, 0)))),
% 53.70/33.87 inference(quant_inst,[status(thm)],[])).
% 53.70/33.87 tff(7071,plain,
% 53.70/33.87 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB31, 0)) | v26(constB31) | v130(constB31, 0)),
% 53.70/33.87 inference(modus_ponens,[status(thm)],[7070, 7069])).
% 53.70/33.87 tff(7072,plain,
% 53.70/33.87 ((~v127(constB31, 0)) | v130(constB31, 0)),
% 53.70/33.87 inference(unit_resolution,[status(thm)],[7071, 1671, 7009])).
% 53.70/33.87 tff(7073,plain,
% 53.70/33.87 (~v127(constB31, 0)),
% 53.70/33.87 inference(unit_resolution,[status(thm)],[7072, 7065])).
% 53.70/33.87 tff(7074,plain,
% 53.70/33.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB31, constB32)) | v127(constB31, 0) | (~v129(constB32, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB31, constB32)) | v127(constB31, 0) | (~v129(constB32, 0)))),
% 53.70/33.87 inference(rewrite,[status(thm)],[])).
% 53.70/33.87 tff(7075,plain,
% 53.70/33.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB31, constB32)) | v127(constB31, 0) | (~v129(constB32, 0)))),
% 53.70/33.88 inference(quant_inst,[status(thm)],[])).
% 53.70/33.88 tff(7076,plain,
% 53.70/33.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB31, constB32)) | v127(constB31, 0) | (~v129(constB32, 0))),
% 53.70/33.88 inference(modus_ponens,[status(thm)],[7075, 7074])).
% 53.70/33.88 tff(7077,plain,
% 53.70/33.88 (v127(constB31, 0) | (~v129(constB32, 0))),
% 53.70/33.88 inference(unit_resolution,[status(thm)],[7076, 1689, 7027])).
% 53.70/33.88 tff(7078,plain,
% 53.70/33.88 (~v129(constB32, 0)),
% 53.70/33.88 inference(unit_resolution,[status(thm)],[7077, 7073])).
% 53.70/33.88 tff(7079,plain,
% 53.70/33.88 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB32, 0)) | v129(constB32, 0) | (~v100(constB32)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB32, 0)) | v129(constB32, 0) | (~v100(constB32)))),
% 53.70/33.88 inference(rewrite,[status(thm)],[])).
% 53.70/33.88 tff(7080,plain,
% 53.70/33.88 (((~v90(constB32, 0)) | (~v100(constB32)) | v129(constB32, 0)) <=> ((~v90(constB32, 0)) | v129(constB32, 0) | (~v100(constB32)))),
% 53.70/33.88 inference(rewrite,[status(thm)],[])).
% 53.70/33.88 tff(7081,plain,
% 53.70/33.88 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB32, 0)) | (~v100(constB32)) | v129(constB32, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB32, 0)) | v129(constB32, 0) | (~v100(constB32))))),
% 53.70/33.88 inference(monotonicity,[status(thm)],[7080])).
% 53.70/33.88 tff(7082,plain,
% 53.70/33.88 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB32, 0)) | (~v100(constB32)) | v129(constB32, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB32, 0)) | v129(constB32, 0) | (~v100(constB32)))),
% 53.70/33.88 inference(transitivity,[status(thm)],[7081, 7079])).
% 53.70/33.88 tff(7083,plain,
% 53.70/33.88 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB32, 0)) | (~v100(constB32)) | v129(constB32, 0))),
% 53.70/33.88 inference(quant_inst,[status(thm)],[])).
% 53.70/33.88 tff(7084,plain,
% 53.70/33.88 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB32, 0)) | v129(constB32, 0) | (~v100(constB32))),
% 53.70/33.88 inference(modus_ponens,[status(thm)],[7083, 7082])).
% 53.70/33.88 tff(7085,plain,
% 53.70/33.88 ((~v90(constB32, 0)) | (~v100(constB32))),
% 53.70/33.88 inference(unit_resolution,[status(thm)],[7084, 1704, 7078])).
% 53.70/33.88 tff(7086,plain,
% 53.70/33.88 (~v90(constB32, 0)),
% 53.70/33.88 inference(unit_resolution,[status(thm)],[7085, 7061])).
% 53.70/33.88 tff(7087,plain,
% 53.70/33.88 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB31)) | (~v130(constB31, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB31)) | (~v130(constB31, 1)))),
% 53.70/33.88 inference(rewrite,[status(thm)],[])).
% 53.70/33.88 tff(7088,plain,
% 53.70/33.88 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB31)) | (~v130(constB31, 1)))),
% 53.70/33.88 inference(quant_inst,[status(thm)],[])).
% 53.70/33.88 tff(7089,plain,
% 53.70/33.88 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB31)) | (~v130(constB31, 1))),
% 53.70/33.88 inference(modus_ponens,[status(thm)],[7088, 7087])).
% 53.70/33.88 tff(7090,plain,
% 53.70/33.88 (~v130(constB31, 1)),
% 53.70/33.88 inference(unit_resolution,[status(thm)],[7089, 2366, 6983])).
% 53.70/33.88 tff(7091,plain,
% 53.70/33.88 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB31, 1)) | v26(constB31) | v130(constB31, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB31, 1)) | v26(constB31) | v130(constB31, 1))),
% 53.70/33.88 inference(rewrite,[status(thm)],[])).
% 53.70/33.88 tff(7092,plain,
% 53.70/33.88 ((v26(constB31) | v130(constB31, 1) | (~v127(constB31, 1))) <=> ((~v127(constB31, 1)) | v26(constB31) | v130(constB31, 1))),
% 53.70/33.88 inference(rewrite,[status(thm)],[])).
% 53.70/33.88 tff(7093,plain,
% 53.70/33.88 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB31) | v130(constB31, 1) | (~v127(constB31, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB31, 1)) | v26(constB31) | v130(constB31, 1)))),
% 53.70/33.88 inference(monotonicity,[status(thm)],[7092])).
% 53.70/33.88 tff(7094,plain,
% 53.70/33.88 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB31) | v130(constB31, 1) | (~v127(constB31, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB31, 1)) | v26(constB31) | v130(constB31, 1))),
% 53.70/33.88 inference(transitivity,[status(thm)],[7093, 7091])).
% 53.70/33.88 tff(7095,plain,
% 53.70/33.88 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB31) | v130(constB31, 1) | (~v127(constB31, 1)))),
% 53.70/33.88 inference(quant_inst,[status(thm)],[])).
% 53.70/33.88 tff(7096,plain,
% 53.70/33.88 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB31, 1)) | v26(constB31) | v130(constB31, 1)),
% 53.70/33.88 inference(modus_ponens,[status(thm)],[7095, 7094])).
% 53.70/33.88 tff(7097,plain,
% 53.70/33.88 ((~v127(constB31, 1)) | v130(constB31, 1)),
% 53.70/33.88 inference(unit_resolution,[status(thm)],[7096, 1276, 7009])).
% 53.70/33.88 tff(7098,plain,
% 53.70/33.88 (~v127(constB31, 1)),
% 53.70/33.88 inference(unit_resolution,[status(thm)],[7097, 7090])).
% 53.70/33.88 tff(7099,plain,
% 53.70/33.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB31, constB32)) | v127(constB31, 1) | (~v129(constB32, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB31, constB32)) | v127(constB31, 1) | (~v129(constB32, 1)))),
% 53.70/33.88 inference(rewrite,[status(thm)],[])).
% 53.70/33.88 tff(7100,plain,
% 53.70/33.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB31, constB32)) | v127(constB31, 1) | (~v129(constB32, 1)))),
% 53.70/33.88 inference(quant_inst,[status(thm)],[])).
% 53.70/33.88 tff(7101,plain,
% 53.70/33.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB31, constB32)) | v127(constB31, 1) | (~v129(constB32, 1))),
% 53.70/33.88 inference(modus_ponens,[status(thm)],[7100, 7099])).
% 53.70/33.88 tff(7102,plain,
% 53.70/33.88 (v127(constB31, 1) | (~v129(constB32, 1))),
% 53.70/33.88 inference(unit_resolution,[status(thm)],[7101, 1294, 7027])).
% 53.70/33.88 tff(7103,plain,
% 53.70/33.88 (~v129(constB32, 1)),
% 53.70/33.88 inference(unit_resolution,[status(thm)],[7102, 7098])).
% 53.70/33.88 tff(7104,plain,
% 53.70/33.88 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB32, 1)) | v129(constB32, 1) | (~v100(constB32)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB32, 1)) | v129(constB32, 1) | (~v100(constB32)))),
% 53.70/33.88 inference(rewrite,[status(thm)],[])).
% 53.70/33.88 tff(7105,plain,
% 53.70/33.88 (((~v90(constB32, 1)) | (~v100(constB32)) | v129(constB32, 1)) <=> ((~v90(constB32, 1)) | v129(constB32, 1) | (~v100(constB32)))),
% 53.70/33.88 inference(rewrite,[status(thm)],[])).
% 53.70/33.88 tff(7106,plain,
% 53.70/33.88 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB32, 1)) | (~v100(constB32)) | v129(constB32, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB32, 1)) | v129(constB32, 1) | (~v100(constB32))))),
% 53.70/33.88 inference(monotonicity,[status(thm)],[7105])).
% 53.70/33.88 tff(7107,plain,
% 53.70/33.88 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB32, 1)) | (~v100(constB32)) | v129(constB32, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB32, 1)) | v129(constB32, 1) | (~v100(constB32)))),
% 53.70/33.88 inference(transitivity,[status(thm)],[7106, 7104])).
% 53.70/33.88 tff(7108,plain,
% 53.70/33.88 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB32, 1)) | (~v100(constB32)) | v129(constB32, 1))),
% 53.70/33.88 inference(quant_inst,[status(thm)],[])).
% 53.70/33.88 tff(7109,plain,
% 53.70/33.88 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB32, 1)) | v129(constB32, 1) | (~v100(constB32))),
% 53.70/33.88 inference(modus_ponens,[status(thm)],[7108, 7107])).
% 53.70/33.88 tff(7110,plain,
% 53.70/33.88 ((~v90(constB32, 1)) | (~v100(constB32))),
% 53.70/33.88 inference(unit_resolution,[status(thm)],[7109, 1309, 7103])).
% 53.70/33.88 tff(7111,plain,
% 53.70/33.88 (~v90(constB32, 1)),
% 53.70/33.88 inference(unit_resolution,[status(thm)],[7110, 7061])).
% 53.70/33.88 tff(7112,assumption,(~v90(constB32, 0)), introduced(assumption)).
% 53.70/33.88 tff(7113,assumption,(~v90(constB32, 1)), introduced(assumption)).
% 53.70/33.88 tff(7114,assumption,(~v90(constB32, 2)), introduced(assumption)).
% 53.70/33.88 tff(7115,assumption,(~v110(constB32)), introduced(assumption)).
% 53.70/33.88 tff(7116,plain,
% 53.70/33.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB31, constB32)) | v110(constB32) | (~v100(constB32)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB31, constB32)) | v110(constB32) | (~v100(constB32)))),
% 53.70/33.88 inference(rewrite,[status(thm)],[])).
% 53.70/33.88 tff(7117,plain,
% 53.70/33.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB31, constB32)) | v110(constB32) | (~v100(constB32)))),
% 53.70/33.88 inference(quant_inst,[status(thm)],[])).
% 53.70/33.88 tff(7118,plain,
% 53.70/33.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB31, constB32)) | v110(constB32) | (~v100(constB32))),
% 53.70/33.88 inference(modus_ponens,[status(thm)],[7117, 7116])).
% 53.70/33.88 tff(7119,plain,
% 53.70/33.88 (v110(constB32) | (~v100(constB32))),
% 53.70/33.88 inference(unit_resolution,[status(thm)],[7118, 4764, 7027])).
% 53.70/33.88 tff(7120,plain,
% 53.70/33.88 (~v100(constB32)),
% 53.70/33.88 inference(unit_resolution,[status(thm)],[7119, 7115])).
% 53.70/33.88 tff(7121,plain,
% 53.70/33.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB31, 2)) | (~nextState(constB31, constB32)) | v100(constB32) | v90(constB32, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB31, 2)) | (~nextState(constB31, constB32)) | v100(constB32) | v90(constB32, 2))),
% 53.70/33.88 inference(rewrite,[status(thm)],[])).
% 53.70/33.88 tff(7122,plain,
% 53.70/33.88 (((~nextState(constB31, constB32)) | (~v90(constB31, 2)) | v100(constB32) | v90(constB32, 2)) <=> ((~v90(constB31, 2)) | (~nextState(constB31, constB32)) | v100(constB32) | v90(constB32, 2))),
% 53.70/33.88 inference(rewrite,[status(thm)],[])).
% 53.70/33.88 tff(7123,plain,
% 53.70/33.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB31, constB32)) | (~v90(constB31, 2)) | v100(constB32) | v90(constB32, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB31, 2)) | (~nextState(constB31, constB32)) | v100(constB32) | v90(constB32, 2)))),
% 53.70/33.88 inference(monotonicity,[status(thm)],[7122])).
% 53.70/33.88 tff(7124,plain,
% 53.70/33.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB31, constB32)) | (~v90(constB31, 2)) | v100(constB32) | v90(constB32, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB31, 2)) | (~nextState(constB31, constB32)) | v100(constB32) | v90(constB32, 2))),
% 53.70/33.88 inference(transitivity,[status(thm)],[7123, 7121])).
% 53.70/33.88 tff(7125,plain,
% 53.70/33.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB31, constB32)) | (~v90(constB31, 2)) | v100(constB32) | v90(constB32, 2))),
% 53.70/33.88 inference(quant_inst,[status(thm)],[])).
% 53.70/33.88 tff(7126,plain,
% 53.70/33.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB31, 2)) | (~nextState(constB31, constB32)) | v100(constB32) | v90(constB32, 2)),
% 53.70/33.88 inference(modus_ponens,[status(thm)],[7125, 7124])).
% 53.70/33.88 tff(7127,plain,
% 53.70/33.88 ((~v90(constB31, 2)) | v100(constB32) | v90(constB32, 2)),
% 53.70/33.88 inference(unit_resolution,[status(thm)],[7126, 2174, 7027])).
% 53.70/33.88 tff(7128,plain,
% 53.70/33.88 (~v90(constB31, 2)),
% 53.70/33.88 inference(unit_resolution,[status(thm)],[7127, 7120, 7114])).
% 53.70/33.88 tff(7129,plain,
% 53.70/33.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB31, 1)) | (~nextState(constB31, constB32)) | v100(constB32) | v90(constB32, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB31, 1)) | (~nextState(constB31, constB32)) | v100(constB32) | v90(constB32, 1))),
% 53.70/33.88 inference(rewrite,[status(thm)],[])).
% 53.70/33.88 tff(7130,plain,
% 53.70/33.88 (((~nextState(constB31, constB32)) | (~v90(constB31, 1)) | v100(constB32) | v90(constB32, 1)) <=> ((~v90(constB31, 1)) | (~nextState(constB31, constB32)) | v100(constB32) | v90(constB32, 1))),
% 53.70/33.88 inference(rewrite,[status(thm)],[])).
% 53.70/33.88 tff(7131,plain,
% 53.70/33.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB31, constB32)) | (~v90(constB31, 1)) | v100(constB32) | v90(constB32, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB31, 1)) | (~nextState(constB31, constB32)) | v100(constB32) | v90(constB32, 1)))),
% 53.70/33.88 inference(monotonicity,[status(thm)],[7130])).
% 53.70/33.88 tff(7132,plain,
% 53.70/33.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB31, constB32)) | (~v90(constB31, 1)) | v100(constB32) | v90(constB32, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB31, 1)) | (~nextState(constB31, constB32)) | v100(constB32) | v90(constB32, 1))),
% 53.70/33.88 inference(transitivity,[status(thm)],[7131, 7129])).
% 53.70/33.88 tff(7133,plain,
% 53.70/33.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB31, constB32)) | (~v90(constB31, 1)) | v100(constB32) | v90(constB32, 1))),
% 53.70/33.88 inference(quant_inst,[status(thm)],[])).
% 53.70/33.88 tff(7134,plain,
% 53.70/33.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB31, 1)) | (~nextState(constB31, constB32)) | v100(constB32) | v90(constB32, 1)),
% 53.70/33.88 inference(modus_ponens,[status(thm)],[7133, 7132])).
% 53.70/33.88 tff(7135,plain,
% 53.70/33.88 ((~v90(constB31, 1)) | v100(constB32) | v90(constB32, 1)),
% 53.70/33.88 inference(unit_resolution,[status(thm)],[7134, 1641, 7027])).
% 53.70/33.88 tff(7136,plain,
% 53.70/33.88 (~v90(constB31, 1)),
% 53.70/33.88 inference(unit_resolution,[status(thm)],[7135, 7120, 7113])).
% 53.70/33.88 tff(7137,plain,
% 53.70/33.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB31, 0)) | (~nextState(constB31, constB32)) | v100(constB32) | v90(constB32, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB31, 0)) | (~nextState(constB31, constB32)) | v100(constB32) | v90(constB32, 0))),
% 53.70/33.88 inference(rewrite,[status(thm)],[])).
% 53.70/33.88 tff(7138,plain,
% 53.70/33.88 (((~nextState(constB31, constB32)) | (~v90(constB31, 0)) | v100(constB32) | v90(constB32, 0)) <=> ((~v90(constB31, 0)) | (~nextState(constB31, constB32)) | v100(constB32) | v90(constB32, 0))),
% 53.70/33.88 inference(rewrite,[status(thm)],[])).
% 53.70/33.88 tff(7139,plain,
% 53.70/33.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB31, constB32)) | (~v90(constB31, 0)) | v100(constB32) | v90(constB32, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB31, 0)) | (~nextState(constB31, constB32)) | v100(constB32) | v90(constB32, 0)))),
% 53.70/33.88 inference(monotonicity,[status(thm)],[7138])).
% 53.70/33.88 tff(7140,plain,
% 53.70/33.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB31, constB32)) | (~v90(constB31, 0)) | v100(constB32) | v90(constB32, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB31, 0)) | (~nextState(constB31, constB32)) | v100(constB32) | v90(constB32, 0))),
% 53.70/33.88 inference(transitivity,[status(thm)],[7139, 7137])).
% 53.70/33.88 tff(7141,plain,
% 53.70/33.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB31, constB32)) | (~v90(constB31, 0)) | v100(constB32) | v90(constB32, 0))),
% 53.70/33.88 inference(quant_inst,[status(thm)],[])).
% 53.70/33.88 tff(7142,plain,
% 53.70/33.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB31, 0)) | (~nextState(constB31, constB32)) | v100(constB32) | v90(constB32, 0)),
% 53.70/33.88 inference(modus_ponens,[status(thm)],[7141, 7140])).
% 53.70/33.88 tff(7143,plain,
% 53.70/33.88 ((~v90(constB31, 0)) | v100(constB32) | v90(constB32, 0)),
% 53.70/33.88 inference(unit_resolution,[status(thm)],[7142, 1395, 7027])).
% 53.70/33.88 tff(7144,plain,
% 53.70/33.88 (~v90(constB31, 0)),
% 53.70/33.88 inference(unit_resolution,[status(thm)],[7143, 7120, 7112])).
% 53.70/33.88 tff(7145,plain,
% 53.70/33.88 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB31, 0) | v90(constB31, 1) | v90(constB31, 2) | v119(constB31))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB31, 0) | v90(constB31, 1) | v90(constB31, 2) | v119(constB31))),
% 53.70/33.88 inference(rewrite,[status(thm)],[])).
% 53.70/33.88 tff(7146,plain,
% 53.70/33.88 ((v90(constB31, 0) | v119(constB31) | v90(constB31, 1) | v90(constB31, 2)) <=> (v90(constB31, 0) | v90(constB31, 1) | v90(constB31, 2) | v119(constB31))),
% 53.70/33.88 inference(rewrite,[status(thm)],[])).
% 53.70/33.88 tff(7147,plain,
% 53.70/33.88 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB31, 0) | v119(constB31) | v90(constB31, 1) | v90(constB31, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB31, 0) | v90(constB31, 1) | v90(constB31, 2) | v119(constB31)))),
% 53.70/33.88 inference(monotonicity,[status(thm)],[7146])).
% 53.70/33.88 tff(7148,plain,
% 53.70/33.88 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB31, 0) | v119(constB31) | v90(constB31, 1) | v90(constB31, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB31, 0) | v90(constB31, 1) | v90(constB31, 2) | v119(constB31))),
% 53.70/33.88 inference(transitivity,[status(thm)],[7147, 7145])).
% 53.70/33.88 tff(7149,plain,
% 53.70/33.88 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB31, 0) | v119(constB31) | v90(constB31, 1) | v90(constB31, 2))),
% 53.70/33.88 inference(quant_inst,[status(thm)],[])).
% 53.70/33.88 tff(7150,plain,
% 53.70/33.88 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB31, 0) | v90(constB31, 1) | v90(constB31, 2) | v119(constB31)),
% 53.70/33.88 inference(modus_ponens,[status(thm)],[7149, 7148])).
% 53.70/33.88 tff(7151,plain,
% 53.70/33.88 (v119(constB31)),
% 53.70/33.88 inference(unit_resolution,[status(thm)],[7150, 968, 7144, 7136, 7128])).
% 53.70/33.88 tff(7152,plain,
% 53.70/33.88 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB31) | (~v119(constB31)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB31) | (~v119(constB31)))),
% 53.70/33.88 inference(rewrite,[status(thm)],[])).
% 53.70/33.88 tff(7153,plain,
% 53.70/33.88 (((~v119(constB31)) | v118(constB31)) <=> (v118(constB31) | (~v119(constB31)))),
% 53.70/33.88 inference(rewrite,[status(thm)],[])).
% 53.70/33.88 tff(7154,plain,
% 53.70/33.88 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB31)) | v118(constB31))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB31) | (~v119(constB31))))),
% 53.70/33.88 inference(monotonicity,[status(thm)],[7153])).
% 53.70/33.88 tff(7155,plain,
% 53.70/33.88 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB31)) | v118(constB31))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB31) | (~v119(constB31)))),
% 53.70/33.88 inference(transitivity,[status(thm)],[7154, 7152])).
% 53.70/33.88 tff(7156,plain,
% 53.70/33.88 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB31)) | v118(constB31))),
% 53.70/33.88 inference(quant_inst,[status(thm)],[])).
% 53.70/33.88 tff(7157,plain,
% 53.70/33.88 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB31) | (~v119(constB31))),
% 53.70/33.88 inference(modus_ponens,[status(thm)],[7156, 7155])).
% 53.70/33.88 tff(7158,plain,
% 53.70/33.88 (v118(constB31)),
% 53.70/33.88 inference(unit_resolution,[status(thm)],[7157, 982, 7151])).
% 53.70/33.88 tff(7159,plain,
% 53.70/33.88 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB31) | (~v118(constB31)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB31) | (~v118(constB31)))),
% 53.70/33.88 inference(rewrite,[status(thm)],[])).
% 53.70/33.88 tff(7160,plain,
% 53.70/33.88 (((~v118(constB31)) | v117(constB31)) <=> (v117(constB31) | (~v118(constB31)))),
% 53.70/33.88 inference(rewrite,[status(thm)],[])).
% 53.70/33.88 tff(7161,plain,
% 53.70/33.88 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB31)) | v117(constB31))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB31) | (~v118(constB31))))),
% 53.70/33.88 inference(monotonicity,[status(thm)],[7160])).
% 53.70/33.88 tff(7162,plain,
% 53.70/33.88 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB31)) | v117(constB31))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB31) | (~v118(constB31)))),
% 53.70/33.88 inference(transitivity,[status(thm)],[7161, 7159])).
% 53.70/33.88 tff(7163,plain,
% 53.70/33.88 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB31)) | v117(constB31))),
% 53.70/33.88 inference(quant_inst,[status(thm)],[])).
% 53.70/33.88 tff(7164,plain,
% 53.70/33.88 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB31) | (~v118(constB31))),
% 53.70/33.88 inference(modus_ponens,[status(thm)],[7163, 7162])).
% 53.70/33.88 tff(7165,plain,
% 53.70/33.88 (v117(constB31)),
% 53.70/33.88 inference(unit_resolution,[status(thm)],[7164, 993, 7158])).
% 53.70/33.88 tff(7166,plain,
% 53.70/33.88 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB31) | (~v117(constB31)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB31) | (~v117(constB31)))),
% 53.70/33.88 inference(rewrite,[status(thm)],[])).
% 53.70/33.88 tff(7167,plain,
% 53.70/33.88 (((~v117(constB31)) | v116(constB31)) <=> (v116(constB31) | (~v117(constB31)))),
% 53.70/33.88 inference(rewrite,[status(thm)],[])).
% 53.70/33.88 tff(7168,plain,
% 53.70/33.88 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB31)) | v116(constB31))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB31) | (~v117(constB31))))),
% 53.70/33.88 inference(monotonicity,[status(thm)],[7167])).
% 53.70/33.88 tff(7169,plain,
% 53.70/33.88 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB31)) | v116(constB31))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB31) | (~v117(constB31)))),
% 53.70/33.88 inference(transitivity,[status(thm)],[7168, 7166])).
% 53.70/33.88 tff(7170,plain,
% 53.70/33.88 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB31)) | v116(constB31))),
% 53.70/33.88 inference(quant_inst,[status(thm)],[])).
% 53.70/33.88 tff(7171,plain,
% 53.70/33.88 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB31) | (~v117(constB31))),
% 53.70/33.88 inference(modus_ponens,[status(thm)],[7170, 7169])).
% 53.70/33.88 tff(7172,plain,
% 53.70/33.88 (v116(constB31)),
% 53.70/33.88 inference(unit_resolution,[status(thm)],[7171, 1007, 7165])).
% 53.70/33.88 tff(7173,plain,
% 53.70/33.88 (~v108(constB31)),
% 53.70/33.88 inference(unit_resolution,[status(thm)],[7034, 7115])).
% 53.70/33.88 tff(7174,plain,
% 53.70/33.88 (~v112(constB31)),
% 53.70/33.88 inference(unit_resolution,[status(thm)],[7023, 1075, 7173])).
% 53.70/33.88 tff(7175,plain,
% 53.70/33.88 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB31) | (~v26(constB31)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB31) | (~v26(constB31)))),
% 53.70/33.88 inference(rewrite,[status(thm)],[])).
% 53.70/33.88 tff(7176,plain,
% 53.70/33.88 (((~v26(constB31)) | v108(constB31)) <=> (v108(constB31) | (~v26(constB31)))),
% 53.70/33.88 inference(rewrite,[status(thm)],[])).
% 53.70/33.88 tff(7177,plain,
% 53.70/33.88 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB31)) | v108(constB31))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB31) | (~v26(constB31))))),
% 53.70/33.88 inference(monotonicity,[status(thm)],[7176])).
% 53.70/33.88 tff(7178,plain,
% 53.70/33.88 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB31)) | v108(constB31))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB31) | (~v26(constB31)))),
% 53.70/33.88 inference(transitivity,[status(thm)],[7177, 7175])).
% 53.70/33.88 tff(7179,plain,
% 53.70/33.88 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB31)) | v108(constB31))),
% 53.70/33.88 inference(quant_inst,[status(thm)],[])).
% 53.70/33.88 tff(7180,plain,
% 53.70/33.88 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB31) | (~v26(constB31))),
% 53.70/33.88 inference(modus_ponens,[status(thm)],[7179, 7178])).
% 53.70/33.88 tff(7181,plain,
% 53.70/33.88 (~v26(constB31)),
% 53.70/33.88 inference(unit_resolution,[status(thm)],[7180, 2050, 7173])).
% 53.70/33.88 tff(7182,plain,
% 53.70/33.88 (~v113(constB31)),
% 53.70/33.88 inference(unit_resolution,[status(thm)],[7015, 1063, 7181, 7174])).
% 53.70/33.88 tff(7183,plain,
% 53.70/33.88 (~v114(constB31)),
% 53.70/33.88 inference(unit_resolution,[status(thm)],[7004, 1049, 7182])).
% 53.70/33.88 tff(7184,plain,
% 53.70/33.88 (~v115(constB31)),
% 53.70/33.88 inference(unit_resolution,[status(thm)],[6997, 1035, 7183])).
% 53.70/33.88 tff(7185,plain,
% 53.70/33.88 ($false),
% 53.70/33.88 inference(unit_resolution,[status(thm)],[6990, 1021, 7184, 7172])).
% 53.70/33.88 tff(7186,plain,(v110(constB32) | v90(constB32, 2) | v90(constB32, 1) | v90(constB32, 0)), inference(lemma,lemma(discharge,[]))).
% 53.70/33.88 tff(7187,plain,
% 53.70/33.88 (v110(constB32)),
% 53.70/33.88 inference(unit_resolution,[status(thm)],[7186, 7113, 7114, 7112])).
% 53.70/33.88 tff(7188,plain,
% 53.70/33.88 (v100(constB32)),
% 53.70/33.88 inference(unit_resolution,[status(thm)],[7060, 7187])).
% 53.70/33.88 tff(7189,plain,
% 53.70/33.88 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB32, 0) | (~v129(constB32, 0)) | (~v100(constB32)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB32, 0) | (~v129(constB32, 0)) | (~v100(constB32)))),
% 53.70/33.88 inference(rewrite,[status(thm)],[])).
% 53.70/33.88 tff(7190,plain,
% 53.70/33.88 ((v90(constB32, 0) | (~v100(constB32)) | (~v129(constB32, 0))) <=> (v90(constB32, 0) | (~v129(constB32, 0)) | (~v100(constB32)))),
% 53.70/33.88 inference(rewrite,[status(thm)],[])).
% 53.70/33.88 tff(7191,plain,
% 53.70/33.88 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB32, 0) | (~v100(constB32)) | (~v129(constB32, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB32, 0) | (~v129(constB32, 0)) | (~v100(constB32))))),
% 53.70/33.88 inference(monotonicity,[status(thm)],[7190])).
% 53.70/33.88 tff(7192,plain,
% 53.70/33.88 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB32, 0) | (~v100(constB32)) | (~v129(constB32, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB32, 0) | (~v129(constB32, 0)) | (~v100(constB32)))),
% 53.70/33.88 inference(transitivity,[status(thm)],[7191, 7189])).
% 53.70/33.88 tff(7193,plain,
% 53.70/33.88 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB32, 0) | (~v100(constB32)) | (~v129(constB32, 0)))),
% 53.70/33.88 inference(quant_inst,[status(thm)],[])).
% 53.70/33.88 tff(7194,plain,
% 53.70/33.88 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB32, 0) | (~v129(constB32, 0)) | (~v100(constB32))),
% 53.70/33.88 inference(modus_ponens,[status(thm)],[7193, 7192])).
% 53.70/33.88 tff(7195,plain,
% 53.70/33.88 ((~v129(constB32, 0)) | (~v100(constB32))),
% 53.70/33.88 inference(unit_resolution,[status(thm)],[7194, 1377, 7112])).
% 53.70/33.88 tff(7196,plain,
% 53.70/33.88 (~v129(constB32, 0)),
% 53.70/33.88 inference(unit_resolution,[status(thm)],[7195, 7188])).
% 53.70/33.88 tff(7197,plain,
% 53.70/33.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB31, constB32)) | (~v127(constB31, 0)) | v129(constB32, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB31, constB32)) | (~v127(constB31, 0)) | v129(constB32, 0))),
% 53.70/33.88 inference(rewrite,[status(thm)],[])).
% 53.70/33.88 tff(7198,plain,
% 53.70/33.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB31, constB32)) | (~v127(constB31, 0)) | v129(constB32, 0))),
% 53.70/33.88 inference(quant_inst,[status(thm)],[])).
% 53.70/33.88 tff(7199,plain,
% 53.70/33.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB31, constB32)) | (~v127(constB31, 0)) | v129(constB32, 0)),
% 53.70/33.88 inference(modus_ponens,[status(thm)],[7198, 7197])).
% 53.70/33.88 tff(7200,plain,
% 53.70/33.88 ((~v127(constB31, 0)) | v129(constB32, 0)),
% 53.70/33.88 inference(unit_resolution,[status(thm)],[7199, 1362, 7027])).
% 53.70/33.88 tff(7201,plain,
% 53.70/33.88 (~v127(constB31, 0)),
% 53.70/33.88 inference(unit_resolution,[status(thm)],[7200, 7196])).
% 53.70/33.88 tff(7202,plain,
% 53.70/33.88 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB31) | (~v130(constB31, 0)) | v127(constB31, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB31) | (~v130(constB31, 0)) | v127(constB31, 0))),
% 53.70/33.88 inference(rewrite,[status(thm)],[])).
% 53.70/33.88 tff(7203,plain,
% 53.70/33.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB31) | (~v130(constB31, 0)) | v127(constB31, 0))),
% 53.70/33.88 inference(quant_inst,[status(thm)],[])).
% 53.70/33.88 tff(7204,plain,
% 53.70/33.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB31) | (~v130(constB31, 0)) | v127(constB31, 0)),
% 53.70/33.88 inference(modus_ponens,[status(thm)],[7203, 7202])).
% 53.70/33.88 tff(7205,plain,
% 53.70/33.88 ((~v130(constB31, 0)) | v127(constB31, 0)),
% 53.70/33.88 inference(unit_resolution,[status(thm)],[7204, 1347, 7009])).
% 53.70/33.88 tff(7206,plain,
% 53.70/33.88 (~v130(constB31, 0)),
% 53.70/33.88 inference(unit_resolution,[status(thm)],[7205, 7201])).
% 53.70/33.88 tff(7207,plain,
% 53.70/33.88 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB31)) | v130(constB31, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB31)) | v130(constB31, 0))),
% 53.70/33.88 inference(rewrite,[status(thm)],[])).
% 53.70/33.88 tff(7208,plain,
% 53.70/33.88 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB31)) | v130(constB31, 0))),
% 53.70/33.88 inference(quant_inst,[status(thm)],[])).
% 53.70/33.88 tff(7209,plain,
% 53.70/33.88 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB31)) | v130(constB31, 0)),
% 53.70/33.88 inference(modus_ponens,[status(thm)],[7208, 7207])).
% 53.70/33.88 tff(7210,plain,
% 53.70/33.88 (~v121(constB31)),
% 53.70/33.88 inference(unit_resolution,[status(thm)],[7209, 1915, 7206])).
% 53.70/33.88 tff(7211,plain,
% 53.70/33.88 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB31)) | v130(constB31, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB31)) | v130(constB31, 0))),
% 53.70/33.88 inference(rewrite,[status(thm)],[])).
% 53.70/33.88 tff(7212,plain,
% 53.70/33.88 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB31)) | v130(constB31, 0))),
% 53.70/33.88 inference(quant_inst,[status(thm)],[])).
% 53.70/33.88 tff(7213,plain,
% 53.70/33.88 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB31)) | v130(constB31, 0)),
% 53.70/33.88 inference(modus_ponens,[status(thm)],[7212, 7211])).
% 53.70/33.88 tff(7214,plain,
% 53.70/33.88 (~v119(constB31)),
% 53.70/33.88 inference(unit_resolution,[status(thm)],[7213, 1333, 7206])).
% 53.70/33.88 tff(7215,plain,
% 53.70/33.88 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB32, 2) | (~v129(constB32, 2)) | (~v100(constB32)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB32, 2) | (~v129(constB32, 2)) | (~v100(constB32)))),
% 53.70/33.88 inference(rewrite,[status(thm)],[])).
% 53.70/33.88 tff(7216,plain,
% 53.70/33.88 ((v90(constB32, 2) | (~v100(constB32)) | (~v129(constB32, 2))) <=> (v90(constB32, 2) | (~v129(constB32, 2)) | (~v100(constB32)))),
% 53.70/33.88 inference(rewrite,[status(thm)],[])).
% 53.70/33.88 tff(7217,plain,
% 53.70/33.88 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB32, 2) | (~v100(constB32)) | (~v129(constB32, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB32, 2) | (~v129(constB32, 2)) | (~v100(constB32))))),
% 53.70/33.88 inference(monotonicity,[status(thm)],[7216])).
% 53.70/33.88 tff(7218,plain,
% 53.70/33.88 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB32, 2) | (~v100(constB32)) | (~v129(constB32, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB32, 2) | (~v129(constB32, 2)) | (~v100(constB32)))),
% 53.70/33.88 inference(transitivity,[status(thm)],[7217, 7215])).
% 53.70/33.88 tff(7219,plain,
% 53.70/33.88 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB32, 2) | (~v100(constB32)) | (~v129(constB32, 2)))),
% 53.70/33.88 inference(quant_inst,[status(thm)],[])).
% 53.70/33.88 tff(7220,plain,
% 53.70/33.88 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB32, 2) | (~v129(constB32, 2)) | (~v100(constB32))),
% 53.70/33.88 inference(modus_ponens,[status(thm)],[7219, 7218])).
% 53.70/33.88 tff(7221,plain,
% 53.70/33.88 ((~v129(constB32, 2)) | (~v100(constB32))),
% 53.70/33.88 inference(unit_resolution,[status(thm)],[7220, 2324, 7114])).
% 53.70/33.88 tff(7222,plain,
% 53.70/33.88 (~v129(constB32, 2)),
% 53.70/33.88 inference(unit_resolution,[status(thm)],[7221, 7188])).
% 53.70/33.88 tff(7223,plain,
% 53.70/33.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB31, constB32)) | (~v127(constB31, 2)) | v129(constB32, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB31, constB32)) | (~v127(constB31, 2)) | v129(constB32, 2))),
% 53.70/33.88 inference(rewrite,[status(thm)],[])).
% 53.70/33.88 tff(7224,plain,
% 53.70/33.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB31, constB32)) | (~v127(constB31, 2)) | v129(constB32, 2))),
% 53.70/33.88 inference(quant_inst,[status(thm)],[])).
% 53.70/33.88 tff(7225,plain,
% 53.70/33.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB31, constB32)) | (~v127(constB31, 2)) | v129(constB32, 2)),
% 53.70/33.88 inference(modus_ponens,[status(thm)],[7224, 7223])).
% 53.70/33.88 tff(7226,plain,
% 53.70/33.88 ((~v127(constB31, 2)) | v129(constB32, 2)),
% 53.70/33.88 inference(unit_resolution,[status(thm)],[7225, 1999, 7027])).
% 53.70/33.88 tff(7227,plain,
% 53.70/33.88 (~v127(constB31, 2)),
% 53.70/33.88 inference(unit_resolution,[status(thm)],[7226, 7222])).
% 53.70/33.88 tff(7228,plain,
% 53.70/33.88 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB31) | (~v130(constB31, 2)) | v127(constB31, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB31) | (~v130(constB31, 2)) | v127(constB31, 2))),
% 53.70/33.88 inference(rewrite,[status(thm)],[])).
% 53.70/33.88 tff(7229,plain,
% 53.70/33.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB31) | (~v130(constB31, 2)) | v127(constB31, 2))),
% 53.70/33.88 inference(quant_inst,[status(thm)],[])).
% 53.70/33.88 tff(7230,plain,
% 53.70/33.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB31) | (~v130(constB31, 2)) | v127(constB31, 2)),
% 53.70/33.88 inference(modus_ponens,[status(thm)],[7229, 7228])).
% 53.70/33.88 tff(7231,plain,
% 53.70/33.88 ((~v130(constB31, 2)) | v127(constB31, 2)),
% 53.70/33.88 inference(unit_resolution,[status(thm)],[7230, 1981, 7009])).
% 53.70/33.88 tff(7232,plain,
% 53.70/33.88 (~v130(constB31, 2)),
% 53.70/33.88 inference(unit_resolution,[status(thm)],[7231, 7227])).
% 53.70/33.88 tff(7233,plain,
% 53.70/33.88 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB31)) | v130(constB31, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB31)) | v130(constB31, 2))),
% 53.70/33.88 inference(rewrite,[status(thm)],[])).
% 53.70/33.88 tff(7234,plain,
% 53.70/33.88 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB31)) | v130(constB31, 2))),
% 53.70/33.88 inference(quant_inst,[status(thm)],[])).
% 53.70/33.88 tff(7235,plain,
% 53.70/33.88 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB31)) | v130(constB31, 2)),
% 53.70/33.88 inference(modus_ponens,[status(thm)],[7234, 7233])).
% 53.70/33.88 tff(7236,plain,
% 53.70/33.88 (~v122(constB31)),
% 53.70/33.88 inference(unit_resolution,[status(thm)],[7235, 1967, 7232])).
% 53.70/33.88 tff(7237,plain,
% 53.70/33.88 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB31)) | v130(constB31, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB31)) | v130(constB31, 2))),
% 53.70/33.88 inference(rewrite,[status(thm)],[])).
% 53.70/33.88 tff(7238,plain,
% 53.70/33.88 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB31)) | v130(constB31, 2))),
% 53.70/33.88 inference(quant_inst,[status(thm)],[])).
% 53.70/33.88 tff(7239,plain,
% 53.70/33.88 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB31)) | v130(constB31, 2)),
% 53.70/33.88 inference(modus_ponens,[status(thm)],[7238, 7237])).
% 53.70/33.88 tff(7240,plain,
% 53.70/33.88 (~v123(constB31)),
% 53.70/33.88 inference(unit_resolution,[status(thm)],[7239, 2525, 7232])).
% 53.70/33.88 tff(7241,plain,
% 53.70/33.88 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB31)) | v130(constB31, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB31)) | v130(constB31, 2))),
% 53.70/33.88 inference(rewrite,[status(thm)],[])).
% 53.70/33.88 tff(7242,plain,
% 53.70/33.88 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB31)) | v130(constB31, 2))),
% 53.70/33.88 inference(quant_inst,[status(thm)],[])).
% 53.70/33.88 tff(7243,plain,
% 53.70/33.88 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB31)) | v130(constB31, 2)),
% 53.70/33.88 inference(modus_ponens,[status(thm)],[7242, 7241])).
% 53.70/33.88 tff(7244,plain,
% 53.70/33.88 (~v124(constB31)),
% 53.70/33.88 inference(unit_resolution,[status(thm)],[7243, 2741, 7232])).
% 53.70/33.88 tff(7245,plain,
% 53.70/33.88 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB31) | v120(constB31) | v121(constB31) | v122(constB31) | v123(constB31) | v124(constB31) | v130(constB31, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB31) | v120(constB31) | v121(constB31) | v122(constB31) | v123(constB31) | v124(constB31) | v130(constB31, 0))),
% 53.70/33.88 inference(rewrite,[status(thm)],[])).
% 53.70/33.88 tff(7246,plain,
% 53.70/33.88 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB31) | v120(constB31) | v121(constB31) | v122(constB31) | v123(constB31) | v124(constB31) | v130(constB31, 0))),
% 53.70/33.88 inference(quant_inst,[status(thm)],[])).
% 53.70/33.88 tff(7247,plain,
% 53.70/33.88 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB31) | v120(constB31) | v121(constB31) | v122(constB31) | v123(constB31) | v124(constB31) | v130(constB31, 0)),
% 53.70/33.88 inference(modus_ponens,[status(thm)],[7246, 7245])).
% 53.70/33.88 tff(7248,plain,
% 53.70/33.88 (v119(constB31) | v120(constB31) | v121(constB31)),
% 53.70/33.88 inference(unit_resolution,[status(thm)],[7247, 3413, 7206, 7244, 7240, 7236])).
% 53.70/33.88 tff(7249,plain,
% 53.70/33.88 (v120(constB31)),
% 53.70/33.88 inference(unit_resolution,[status(thm)],[7248, 7214, 7210])).
% 53.70/33.88 tff(7250,plain,
% 53.70/33.88 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB32, 1) | (~v129(constB32, 1)) | (~v100(constB32)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB32, 1) | (~v129(constB32, 1)) | (~v100(constB32)))),
% 53.70/33.88 inference(rewrite,[status(thm)],[])).
% 53.70/33.88 tff(7251,plain,
% 53.70/33.88 ((v90(constB32, 1) | (~v100(constB32)) | (~v129(constB32, 1))) <=> (v90(constB32, 1) | (~v129(constB32, 1)) | (~v100(constB32)))),
% 53.70/33.88 inference(rewrite,[status(thm)],[])).
% 53.70/33.88 tff(7252,plain,
% 53.70/33.88 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB32, 1) | (~v100(constB32)) | (~v129(constB32, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB32, 1) | (~v129(constB32, 1)) | (~v100(constB32))))),
% 53.70/33.88 inference(monotonicity,[status(thm)],[7251])).
% 53.70/33.88 tff(7253,plain,
% 53.70/33.88 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB32, 1) | (~v100(constB32)) | (~v129(constB32, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB32, 1) | (~v129(constB32, 1)) | (~v100(constB32)))),
% 53.70/33.88 inference(transitivity,[status(thm)],[7252, 7250])).
% 53.70/33.88 tff(7254,plain,
% 53.70/33.88 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB32, 1) | (~v100(constB32)) | (~v129(constB32, 1)))),
% 53.70/33.88 inference(quant_inst,[status(thm)],[])).
% 53.70/33.88 tff(7255,plain,
% 53.70/33.88 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB32, 1) | (~v129(constB32, 1)) | (~v100(constB32))),
% 53.70/33.88 inference(modus_ponens,[status(thm)],[7254, 7253])).
% 53.70/33.88 tff(7256,plain,
% 53.70/33.88 (~v129(constB32, 1)),
% 53.70/33.88 inference(unit_resolution,[status(thm)],[7255, 1623, 7188, 7113])).
% 53.70/33.88 tff(7257,plain,
% 53.70/33.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB31, constB32)) | (~v127(constB31, 1)) | v129(constB32, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB31, constB32)) | (~v127(constB31, 1)) | v129(constB32, 1))),
% 53.70/33.88 inference(rewrite,[status(thm)],[])).
% 53.70/33.88 tff(7258,plain,
% 53.70/33.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB31, constB32)) | (~v127(constB31, 1)) | v129(constB32, 1))),
% 53.70/33.88 inference(quant_inst,[status(thm)],[])).
% 53.70/33.88 tff(7259,plain,
% 53.70/33.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB31, constB32)) | (~v127(constB31, 1)) | v129(constB32, 1)),
% 53.70/33.88 inference(modus_ponens,[status(thm)],[7258, 7257])).
% 53.70/33.88 tff(7260,plain,
% 53.70/33.88 ((~v127(constB31, 1)) | v129(constB32, 1)),
% 53.70/33.88 inference(unit_resolution,[status(thm)],[7259, 1608, 7027])).
% 53.70/33.88 tff(7261,plain,
% 53.70/33.88 (~v127(constB31, 1)),
% 53.70/33.88 inference(unit_resolution,[status(thm)],[7260, 7256])).
% 53.70/33.88 tff(7262,plain,
% 53.70/33.88 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB31) | (~v130(constB31, 1)) | v127(constB31, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB31) | (~v130(constB31, 1)) | v127(constB31, 1))),
% 53.70/33.88 inference(rewrite,[status(thm)],[])).
% 53.70/33.88 tff(7263,plain,
% 53.70/33.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB31) | (~v130(constB31, 1)) | v127(constB31, 1))),
% 53.70/33.88 inference(quant_inst,[status(thm)],[])).
% 53.70/33.88 tff(7264,plain,
% 53.70/33.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB31) | (~v130(constB31, 1)) | v127(constB31, 1)),
% 53.70/33.89 inference(modus_ponens,[status(thm)],[7263, 7262])).
% 53.70/33.89 tff(7265,plain,
% 53.70/33.89 ((~v130(constB31, 1)) | v127(constB31, 1)),
% 53.70/33.89 inference(unit_resolution,[status(thm)],[7264, 1593, 7009])).
% 53.70/33.89 tff(7266,plain,
% 53.70/33.89 (~v130(constB31, 1)),
% 53.70/33.89 inference(unit_resolution,[status(thm)],[7265, 7261])).
% 53.70/33.89 tff(7267,plain,
% 53.70/33.89 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB31)) | v130(constB31, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB31)) | v130(constB31, 1))),
% 53.70/33.89 inference(rewrite,[status(thm)],[])).
% 53.70/33.89 tff(7268,plain,
% 53.70/33.89 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB31)) | v130(constB31, 1))),
% 53.70/33.89 inference(quant_inst,[status(thm)],[])).
% 53.70/33.89 tff(7269,plain,
% 53.70/33.89 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB31)) | v130(constB31, 1)),
% 53.70/33.89 inference(modus_ponens,[status(thm)],[7268, 7267])).
% 53.70/33.89 tff(7270,plain,
% 53.70/33.89 ($false),
% 53.70/33.89 inference(unit_resolution,[status(thm)],[7269, 1579, 7266, 7249])).
% 53.70/33.89 tff(7271,plain,(v90(constB32, 1) | v90(constB32, 0) | v90(constB32, 2)), inference(lemma,lemma(discharge,[]))).
% 53.70/33.89 tff(7272,plain,
% 53.70/33.89 (v90(constB32, 2)),
% 53.70/33.89 inference(unit_resolution,[status(thm)],[7271, 7113, 7112])).
% 53.70/33.89 tff(7273,plain,
% 53.70/33.89 ((~v1(constB33)) <=> (~v1(constB33))),
% 53.70/33.89 inference(rewrite,[status(thm)],[])).
% 53.70/33.89 tff(7274,axiom,(~v1(constB33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_33_1_1')).
% 53.70/33.89 tff(7275,plain,
% 53.70/33.89 (~v1(constB33)),
% 53.70/33.89 inference(modus_ponens,[status(thm)],[7274, 7273])).
% 53.70/33.89 tff(7276,plain,
% 53.70/33.89 (nextState(constB32, constB33) <=> nextState(constB32, constB33)),
% 53.70/33.89 inference(rewrite,[status(thm)],[])).
% 53.70/33.89 tff(7277,axiom,(nextState(constB32, constB33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_32_1')).
% 53.70/33.89 tff(7278,plain,
% 53.70/33.89 (nextState(constB32, constB33)),
% 53.70/33.89 inference(modus_ponens,[status(thm)],[7277, 7276])).
% 53.70/33.89 tff(7279,plain,
% 53.70/33.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33)))),
% 53.70/33.89 inference(rewrite,[status(thm)],[])).
% 53.70/33.89 tff(7280,plain,
% 53.70/33.89 (((~nextState(constB32, constB33)) | (~v101(constB33)) | v1(constB33)) <=> (v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33)))),
% 53.70/33.89 inference(rewrite,[status(thm)],[])).
% 53.70/33.89 tff(7281,plain,
% 53.70/33.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB32, constB33)) | (~v101(constB33)) | v1(constB33))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33))))),
% 53.70/33.89 inference(monotonicity,[status(thm)],[7280])).
% 53.70/33.89 tff(7282,plain,
% 53.70/33.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB32, constB33)) | (~v101(constB33)) | v1(constB33))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33)))),
% 53.70/33.89 inference(transitivity,[status(thm)],[7281, 7279])).
% 53.70/33.89 tff(7283,plain,
% 53.70/33.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB32, constB33)) | (~v101(constB33)) | v1(constB33))),
% 53.70/33.89 inference(quant_inst,[status(thm)],[])).
% 53.70/33.89 tff(7284,plain,
% 53.70/33.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB33) | (~nextState(constB32, constB33)) | (~v101(constB33))),
% 53.70/33.89 inference(modus_ponens,[status(thm)],[7283, 7282])).
% 53.70/33.89 tff(7285,plain,
% 53.70/33.89 (~v101(constB33)),
% 53.70/33.89 inference(unit_resolution,[status(thm)],[7284, 873, 7278, 7275])).
% 53.70/33.89 tff(7286,plain,
% 53.70/33.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB32, constB33)) | v101(constB33) | (~v100(constB33)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB32, constB33)) | v101(constB33) | (~v100(constB33)))),
% 53.70/33.89 inference(rewrite,[status(thm)],[])).
% 53.70/33.89 tff(7287,plain,
% 53.70/33.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB32, constB33)) | v101(constB33) | (~v100(constB33)))),
% 53.70/33.89 inference(quant_inst,[status(thm)],[])).
% 53.70/33.89 tff(7288,plain,
% 53.70/33.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB32, constB33)) | v101(constB33) | (~v100(constB33))),
% 53.70/33.89 inference(modus_ponens,[status(thm)],[7287, 7286])).
% 53.70/33.89 tff(7289,plain,
% 53.70/33.89 (v101(constB33) | (~v100(constB33))),
% 53.70/33.89 inference(unit_resolution,[status(thm)],[7288, 890, 7278])).
% 53.70/33.89 tff(7290,plain,
% 53.70/33.89 (~v100(constB33)),
% 53.70/33.89 inference(unit_resolution,[status(thm)],[7289, 7285])).
% 53.70/33.89 tff(7291,plain,
% 53.70/33.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB32, 0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB32, 0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, 0)))),
% 53.70/33.89 inference(rewrite,[status(thm)],[])).
% 53.70/33.89 tff(7292,plain,
% 53.70/33.89 (((~nextState(constB32, constB33)) | v90(constB32, 0) | v100(constB33) | (~v90(constB33, 0))) <=> (v90(constB32, 0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, 0)))),
% 53.70/33.89 inference(rewrite,[status(thm)],[])).
% 53.70/33.89 tff(7293,plain,
% 53.70/33.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB32, constB33)) | v90(constB32, 0) | v100(constB33) | (~v90(constB33, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB32, 0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, 0))))),
% 53.70/33.89 inference(monotonicity,[status(thm)],[7292])).
% 53.70/33.89 tff(7294,plain,
% 53.70/33.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB32, constB33)) | v90(constB32, 0) | v100(constB33) | (~v90(constB33, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB32, 0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, 0)))),
% 53.70/33.89 inference(transitivity,[status(thm)],[7293, 7291])).
% 53.70/33.89 tff(7295,plain,
% 53.70/33.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB32, constB33)) | v90(constB32, 0) | v100(constB33) | (~v90(constB33, 0)))),
% 53.70/33.89 inference(quant_inst,[status(thm)],[])).
% 53.70/33.89 tff(7296,plain,
% 53.70/33.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB32, 0) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, 0))),
% 53.70/33.89 inference(modus_ponens,[status(thm)],[7295, 7294])).
% 53.70/33.89 tff(7297,plain,
% 53.70/33.89 (v90(constB32, 0) | v100(constB33) | (~v90(constB33, 0))),
% 53.70/33.89 inference(unit_resolution,[status(thm)],[7296, 947, 7278])).
% 53.70/33.89 tff(7298,plain,
% 53.70/33.89 (v90(constB32, 0) | (~v90(constB33, 0))),
% 53.70/33.89 inference(unit_resolution,[status(thm)],[7297, 7290])).
% 53.70/33.89 tff(7299,plain,
% 53.70/33.89 (~v90(constB33, 0)),
% 53.70/33.89 inference(unit_resolution,[status(thm)],[7298, 7112])).
% 53.70/33.89 tff(7300,plain,
% 53.70/33.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB32, 1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB32, 1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, 1)))),
% 53.70/33.89 inference(rewrite,[status(thm)],[])).
% 53.70/33.89 tff(7301,plain,
% 53.70/33.89 (((~nextState(constB32, constB33)) | v90(constB32, 1) | v100(constB33) | (~v90(constB33, 1))) <=> (v90(constB32, 1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, 1)))),
% 53.70/33.89 inference(rewrite,[status(thm)],[])).
% 53.70/33.89 tff(7302,plain,
% 53.70/33.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB32, constB33)) | v90(constB32, 1) | v100(constB33) | (~v90(constB33, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB32, 1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, 1))))),
% 53.70/33.89 inference(monotonicity,[status(thm)],[7301])).
% 53.70/33.89 tff(7303,plain,
% 53.70/33.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB32, constB33)) | v90(constB32, 1) | v100(constB33) | (~v90(constB33, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB32, 1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, 1)))),
% 53.70/33.89 inference(transitivity,[status(thm)],[7302, 7300])).
% 53.70/33.89 tff(7304,plain,
% 53.70/33.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB32, constB33)) | v90(constB32, 1) | v100(constB33) | (~v90(constB33, 1)))),
% 53.70/33.89 inference(quant_inst,[status(thm)],[])).
% 53.70/33.89 tff(7305,plain,
% 53.70/33.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB32, 1) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, 1))),
% 53.70/33.89 inference(modus_ponens,[status(thm)],[7304, 7303])).
% 53.70/33.89 tff(7306,plain,
% 53.70/33.89 (v90(constB32, 1) | v100(constB33) | (~v90(constB33, 1))),
% 53.70/33.89 inference(unit_resolution,[status(thm)],[7305, 926, 7278])).
% 53.70/33.89 tff(7307,plain,
% 53.70/33.89 (v90(constB32, 1) | (~v90(constB33, 1))),
% 53.70/33.89 inference(unit_resolution,[status(thm)],[7306, 7290])).
% 53.70/33.89 tff(7308,plain,
% 53.70/33.89 (~v90(constB33, 1)),
% 53.70/33.89 inference(unit_resolution,[status(thm)],[7307, 7113])).
% 53.70/33.89 tff(7309,assumption,(~v123(constB33)), introduced(assumption)).
% 53.70/33.89 tff(7310,plain,
% 53.70/33.89 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB33, 0) | v90(constB33, 1) | (~v90(constB33, 2)) | v123(constB33))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB33, 0) | v90(constB33, 1) | (~v90(constB33, 2)) | v123(constB33))),
% 53.70/33.89 inference(rewrite,[status(thm)],[])).
% 53.70/33.89 tff(7311,plain,
% 53.70/33.89 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB33, 0) | v90(constB33, 1) | (~v90(constB33, 2)) | v123(constB33))),
% 53.70/33.89 inference(quant_inst,[status(thm)],[])).
% 53.70/33.89 tff(7312,plain,
% 53.70/33.89 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB33, 0) | v90(constB33, 1) | (~v90(constB33, 2)) | v123(constB33)),
% 53.70/33.89 inference(modus_ponens,[status(thm)],[7311, 7310])).
% 53.70/33.89 tff(7313,plain,
% 53.70/33.89 (v90(constB33, 0) | v90(constB33, 1) | (~v90(constB33, 2))),
% 53.70/33.89 inference(unit_resolution,[status(thm)],[7312, 2308, 7309])).
% 53.70/33.89 tff(7314,plain,
% 53.70/33.89 (~v90(constB33, 2)),
% 53.70/33.89 inference(unit_resolution,[status(thm)],[7313, 7308, 7299])).
% 53.70/33.89 tff(7315,plain,
% 53.70/33.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB32, 2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB32, 2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, 2))),
% 53.70/33.89 inference(rewrite,[status(thm)],[])).
% 53.70/33.89 tff(7316,plain,
% 53.70/33.89 (((~nextState(constB32, constB33)) | (~v90(constB32, 2)) | v100(constB33) | v90(constB33, 2)) <=> ((~v90(constB32, 2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, 2))),
% 53.70/33.89 inference(rewrite,[status(thm)],[])).
% 53.70/33.89 tff(7317,plain,
% 53.70/33.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB32, constB33)) | (~v90(constB32, 2)) | v100(constB33) | v90(constB33, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB32, 2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, 2)))),
% 53.70/33.89 inference(monotonicity,[status(thm)],[7316])).
% 53.70/33.89 tff(7318,plain,
% 53.70/33.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB32, constB33)) | (~v90(constB32, 2)) | v100(constB33) | v90(constB33, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB32, 2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, 2))),
% 53.70/33.89 inference(transitivity,[status(thm)],[7317, 7315])).
% 53.70/33.89 tff(7319,plain,
% 53.70/33.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB32, constB33)) | (~v90(constB32, 2)) | v100(constB33) | v90(constB33, 2))),
% 53.70/33.89 inference(quant_inst,[status(thm)],[])).
% 53.70/33.89 tff(7320,plain,
% 53.70/33.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB32, 2)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, 2)),
% 53.70/33.89 inference(modus_ponens,[status(thm)],[7319, 7318])).
% 53.70/33.89 tff(7321,plain,
% 53.70/33.89 ((~v90(constB32, 2)) | v100(constB33) | v90(constB33, 2)),
% 53.70/33.89 inference(unit_resolution,[status(thm)],[7320, 2174, 7278])).
% 53.70/33.89 tff(7322,plain,
% 53.70/33.89 ((~v90(constB32, 2)) | v90(constB33, 2)),
% 53.70/33.89 inference(unit_resolution,[status(thm)],[7321, 7290])).
% 53.70/33.89 tff(7323,plain,
% 53.70/33.89 ($false),
% 53.70/33.89 inference(unit_resolution,[status(thm)],[7322, 7314, 7272])).
% 53.70/33.89 tff(7324,plain,(v90(constB32, 1) | v123(constB33) | v90(constB32, 0)), inference(lemma,lemma(discharge,[]))).
% 53.70/33.89 tff(7325,plain,
% 53.70/33.89 (v123(constB33)),
% 53.70/33.89 inference(unit_resolution,[status(thm)],[7324, 7111, 7086])).
% 53.70/33.89 tff(7326,assumption,(v123(constB33)), introduced(assumption)).
% 53.70/33.89 tff(7327,plain,
% 53.70/33.89 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB33)) | v115(constB33))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB33)) | v115(constB33))),
% 53.70/33.89 inference(rewrite,[status(thm)],[])).
% 53.70/33.89 tff(7328,plain,
% 53.70/33.89 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB33)) | v115(constB33))),
% 53.70/33.89 inference(quant_inst,[status(thm)],[])).
% 53.70/33.89 tff(7329,plain,
% 53.70/33.89 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB33)) | v115(constB33)),
% 53.70/33.89 inference(modus_ponens,[status(thm)],[7328, 7327])).
% 53.70/33.89 tff(7330,plain,
% 53.70/33.89 (v115(constB33)),
% 53.70/33.89 inference(unit_resolution,[status(thm)],[7329, 2291, 7326])).
% 53.70/33.89 tff(7331,plain,
% 53.70/33.89 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB33) | (~v115(constB33)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB33) | (~v115(constB33)))),
% 53.70/33.89 inference(rewrite,[status(thm)],[])).
% 53.70/33.89 tff(7332,plain,
% 53.70/33.89 (((~v115(constB33)) | v114(constB33)) <=> (v114(constB33) | (~v115(constB33)))),
% 53.70/33.89 inference(rewrite,[status(thm)],[])).
% 53.70/33.89 tff(7333,plain,
% 53.70/33.89 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB33)) | v114(constB33))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB33) | (~v115(constB33))))),
% 53.70/33.89 inference(monotonicity,[status(thm)],[7332])).
% 53.70/33.89 tff(7334,plain,
% 53.70/33.89 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB33)) | v114(constB33))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB33) | (~v115(constB33)))),
% 53.70/33.89 inference(transitivity,[status(thm)],[7333, 7331])).
% 53.70/33.89 tff(7335,plain,
% 53.70/33.89 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB33)) | v114(constB33))),
% 53.70/33.89 inference(quant_inst,[status(thm)],[])).
% 53.70/33.89 tff(7336,plain,
% 53.70/33.89 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB33) | (~v115(constB33))),
% 53.70/33.89 inference(modus_ponens,[status(thm)],[7335, 7334])).
% 53.70/33.89 tff(7337,plain,
% 53.70/33.89 (v114(constB33)),
% 53.70/33.89 inference(unit_resolution,[status(thm)],[7336, 1035, 7330])).
% 53.70/33.89 tff(7338,plain,
% 53.70/33.89 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB33) | (~v114(constB33)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB33) | (~v114(constB33)))),
% 53.70/33.89 inference(rewrite,[status(thm)],[])).
% 53.70/33.89 tff(7339,plain,
% 53.70/33.89 (((~v114(constB33)) | v113(constB33)) <=> (v113(constB33) | (~v114(constB33)))),
% 53.70/33.89 inference(rewrite,[status(thm)],[])).
% 53.70/33.89 tff(7340,plain,
% 53.70/33.89 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB33)) | v113(constB33))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB33) | (~v114(constB33))))),
% 53.70/33.89 inference(monotonicity,[status(thm)],[7339])).
% 53.70/33.89 tff(7341,plain,
% 53.70/33.89 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB33)) | v113(constB33))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB33) | (~v114(constB33)))),
% 53.70/33.89 inference(transitivity,[status(thm)],[7340, 7338])).
% 53.70/33.89 tff(7342,plain,
% 53.70/33.89 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB33)) | v113(constB33))),
% 53.70/33.89 inference(quant_inst,[status(thm)],[])).
% 53.70/33.89 tff(7343,plain,
% 53.70/33.89 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB33) | (~v114(constB33))),
% 53.70/33.89 inference(modus_ponens,[status(thm)],[7342, 7341])).
% 53.70/33.89 tff(7344,plain,
% 53.70/33.89 (v113(constB33)),
% 53.70/33.89 inference(unit_resolution,[status(thm)],[7343, 1049, 7337])).
% 53.70/33.89 tff(7345,assumption,(v26(constB33)), introduced(assumption)).
% 53.70/33.89 tff(7346,plain,
% 53.70/33.89 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB33))),
% 53.70/33.89 inference(quant_inst,[status(thm)],[])).
% 53.70/33.89 tff(7347,plain,
% 53.70/33.89 ($false),
% 53.70/33.89 inference(unit_resolution,[status(thm)],[7346, 828, 7345])).
% 53.70/33.89 tff(7348,plain,(~v26(constB33)), inference(lemma,lemma(discharge,[]))).
% 53.70/33.89 tff(7349,plain,
% 53.70/33.89 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB33) | (~v113(constB33)) | v112(constB33))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB33) | (~v113(constB33)) | v112(constB33))),
% 53.70/33.89 inference(rewrite,[status(thm)],[])).
% 53.70/33.89 tff(7350,plain,
% 53.70/33.89 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB33) | (~v113(constB33)) | v112(constB33))),
% 53.70/33.89 inference(quant_inst,[status(thm)],[])).
% 53.70/33.89 tff(7351,plain,
% 53.70/33.89 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB33) | (~v113(constB33)) | v112(constB33)),
% 53.70/33.89 inference(modus_ponens,[status(thm)],[7350, 7349])).
% 53.70/33.89 tff(7352,plain,
% 53.70/33.89 ((~v113(constB33)) | v112(constB33)),
% 53.70/33.89 inference(unit_resolution,[status(thm)],[7351, 1063, 7348])).
% 53.70/33.89 tff(7353,plain,
% 53.70/33.89 (v112(constB33)),
% 53.70/33.89 inference(unit_resolution,[status(thm)],[7352, 7344])).
% 53.70/33.89 tff(7354,plain,
% 53.70/33.89 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB33) | (~v112(constB33)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB33) | (~v112(constB33)))),
% 53.70/33.89 inference(rewrite,[status(thm)],[])).
% 53.70/33.89 tff(7355,plain,
% 53.70/33.89 (((~v112(constB33)) | v108(constB33)) <=> (v108(constB33) | (~v112(constB33)))),
% 53.70/33.89 inference(rewrite,[status(thm)],[])).
% 53.70/33.89 tff(7356,plain,
% 53.70/33.89 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB33)) | v108(constB33))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB33) | (~v112(constB33))))),
% 53.70/33.89 inference(monotonicity,[status(thm)],[7355])).
% 53.70/33.89 tff(7357,plain,
% 53.70/33.89 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB33)) | v108(constB33))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB33) | (~v112(constB33)))),
% 53.70/33.89 inference(transitivity,[status(thm)],[7356, 7354])).
% 53.70/33.89 tff(7358,plain,
% 53.70/33.89 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB33)) | v108(constB33))),
% 53.70/33.89 inference(quant_inst,[status(thm)],[])).
% 53.70/33.89 tff(7359,plain,
% 53.70/33.89 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB33) | (~v112(constB33))),
% 53.70/33.89 inference(modus_ponens,[status(thm)],[7358, 7357])).
% 53.70/33.89 tff(7360,plain,
% 53.70/33.89 (v108(constB33)),
% 53.70/33.89 inference(unit_resolution,[status(thm)],[7359, 1075, 7353])).
% 53.70/33.89 tff(7361,plain,
% 53.70/33.89 (nextState(constB33, constB34) <=> nextState(constB33, constB34)),
% 53.70/33.89 inference(rewrite,[status(thm)],[])).
% 53.70/33.89 tff(7362,axiom,(nextState(constB33, constB34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_33_1')).
% 53.70/33.89 tff(7363,plain,
% 53.70/33.89 (nextState(constB33, constB34)),
% 53.70/33.89 inference(modus_ponens,[status(thm)],[7362, 7361])).
% 53.70/33.89 tff(7364,plain,
% 53.70/33.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33)))),
% 53.70/33.89 inference(rewrite,[status(thm)],[])).
% 53.70/33.89 tff(7365,plain,
% 53.70/33.89 (((~nextState(constB33, constB34)) | (~v108(constB33)) | v110(constB34)) <=> ((~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33)))),
% 53.70/33.89 inference(rewrite,[status(thm)],[])).
% 53.70/33.89 tff(7366,plain,
% 53.70/33.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB33, constB34)) | (~v108(constB33)) | v110(constB34))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33))))),
% 53.70/33.89 inference(monotonicity,[status(thm)],[7365])).
% 53.70/33.89 tff(7367,plain,
% 53.70/33.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB33, constB34)) | (~v108(constB33)) | v110(constB34))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33)))),
% 53.70/33.89 inference(transitivity,[status(thm)],[7366, 7364])).
% 53.70/33.89 tff(7368,plain,
% 53.70/33.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB33, constB34)) | (~v108(constB33)) | v110(constB34))),
% 53.70/33.89 inference(quant_inst,[status(thm)],[])).
% 53.70/33.89 tff(7369,plain,
% 53.70/33.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB33, constB34)) | v110(constB34) | (~v108(constB33))),
% 53.70/33.89 inference(modus_ponens,[status(thm)],[7368, 7367])).
% 53.70/33.89 tff(7370,plain,
% 53.70/33.89 (v110(constB34) | (~v108(constB33))),
% 53.70/33.89 inference(unit_resolution,[status(thm)],[7369, 1095, 7363])).
% 53.70/33.89 tff(7371,plain,
% 53.70/33.89 (v110(constB34)),
% 53.70/33.89 inference(unit_resolution,[status(thm)],[7370, 7360])).
% 53.70/33.89 tff(7372,plain,
% 53.70/33.89 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB33) | (~nextState(constB33, constB34)) | (~v104(constB34)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB33) | (~nextState(constB33, constB34)) | (~v104(constB34)))),
% 53.70/33.89 inference(rewrite,[status(thm)],[])).
% 53.70/33.89 tff(7373,plain,
% 53.70/33.89 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB33) | (~nextState(constB33, constB34)) | (~v104(constB34)))),
% 53.70/33.89 inference(quant_inst,[status(thm)],[])).
% 53.70/33.89 tff(7374,plain,
% 53.70/33.89 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB33) | (~nextState(constB33, constB34)) | (~v104(constB34))),
% 53.70/33.89 inference(modus_ponens,[status(thm)],[7373, 7372])).
% 53.70/33.89 tff(7375,plain,
% 53.70/33.89 (~v104(constB34)),
% 53.70/33.89 inference(unit_resolution,[status(thm)],[7374, 1113, 7363, 7275])).
% 53.70/33.89 tff(7376,plain,
% 53.70/33.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB33, constB34)) | v102(constB34) | v104(constB34))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB33, constB34)) | v102(constB34) | v104(constB34))),
% 53.70/33.89 inference(rewrite,[status(thm)],[])).
% 53.70/33.89 tff(7377,plain,
% 53.70/33.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB33, constB34)) | v102(constB34) | v104(constB34))),
% 53.70/33.89 inference(quant_inst,[status(thm)],[])).
% 53.70/33.89 tff(7378,plain,
% 53.70/33.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB33, constB34)) | v102(constB34) | v104(constB34)),
% 53.70/33.89 inference(modus_ponens,[status(thm)],[7377, 7376])).
% 53.70/33.89 tff(7379,plain,
% 53.70/33.89 (v102(constB34) | v104(constB34)),
% 53.70/33.89 inference(unit_resolution,[status(thm)],[7378, 1127, 7363])).
% 53.70/33.89 tff(7380,plain,
% 53.70/33.89 (v102(constB34)),
% 53.70/33.89 inference(unit_resolution,[status(thm)],[7379, 7375])).
% 53.70/33.89 tff(7381,plain,
% 53.70/33.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB33, constB34)) | v101(constB34) | (~v102(constB34)) | (~v1(constB34)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB33, constB34)) | v101(constB34) | (~v102(constB34)) | (~v1(constB34)))),
% 53.70/33.89 inference(rewrite,[status(thm)],[])).
% 53.70/33.89 tff(7382,plain,
% 53.70/33.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB33, constB34)) | v101(constB34) | (~v102(constB34)) | (~v1(constB34)))),
% 53.70/33.89 inference(quant_inst,[status(thm)],[])).
% 53.70/33.89 tff(7383,plain,
% 53.70/33.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB33, constB34)) | v101(constB34) | (~v102(constB34)) | (~v1(constB34))),
% 53.70/33.89 inference(modus_ponens,[status(thm)],[7382, 7381])).
% 53.70/33.89 tff(7384,plain,
% 53.70/33.89 (v101(constB34) | (~v102(constB34))),
% 53.70/33.89 inference(unit_resolution,[status(thm)],[7383, 1145, 7363, 750])).
% 53.70/33.89 tff(7385,plain,
% 53.70/33.89 (v101(constB34)),
% 53.70/33.89 inference(unit_resolution,[status(thm)],[7384, 7380])).
% 53.70/33.89 tff(7386,plain,
% 53.70/33.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34)))),
% 53.70/33.89 inference(rewrite,[status(thm)],[])).
% 53.70/33.89 tff(7387,plain,
% 53.70/33.89 (((~nextState(constB33, constB34)) | (~v101(constB34)) | (~v110(constB34)) | v100(constB34)) <=> ((~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34)))),
% 53.70/33.89 inference(rewrite,[status(thm)],[])).
% 53.70/33.89 tff(7388,plain,
% 53.70/33.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB33, constB34)) | (~v101(constB34)) | (~v110(constB34)) | v100(constB34))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34))))),
% 53.70/33.89 inference(monotonicity,[status(thm)],[7387])).
% 53.70/33.89 tff(7389,plain,
% 53.70/33.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB33, constB34)) | (~v101(constB34)) | (~v110(constB34)) | v100(constB34))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34)))),
% 53.70/33.89 inference(transitivity,[status(thm)],[7388, 7386])).
% 53.70/33.89 tff(7390,plain,
% 53.70/33.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB33, constB34)) | (~v101(constB34)) | (~v110(constB34)) | v100(constB34))),
% 53.70/33.89 inference(quant_inst,[status(thm)],[])).
% 53.70/33.89 tff(7391,plain,
% 53.70/33.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB33, constB34)) | v100(constB34) | (~v101(constB34)) | (~v110(constB34))),
% 53.70/33.89 inference(modus_ponens,[status(thm)],[7390, 7389])).
% 53.70/33.89 tff(7392,plain,
% 53.70/33.89 (v100(constB34) | (~v101(constB34)) | (~v110(constB34))),
% 53.70/33.89 inference(unit_resolution,[status(thm)],[7391, 1160, 7363])).
% 53.70/33.89 tff(7393,plain,
% 53.70/33.89 (v100(constB34) | (~v110(constB34))),
% 53.70/33.89 inference(unit_resolution,[status(thm)],[7392, 7385])).
% 53.70/33.89 tff(7394,plain,
% 53.70/33.89 (v100(constB34)),
% 53.70/33.89 inference(unit_resolution,[status(thm)],[7393, 7371])).
% 53.70/33.89 tff(7395,plain,
% 53.70/33.89 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB33)) | v130(constB33, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB33)) | v130(constB33, 2))),
% 53.70/33.89 inference(rewrite,[status(thm)],[])).
% 53.70/33.89 tff(7396,plain,
% 53.70/33.89 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB33)) | v130(constB33, 2))),
% 53.70/33.89 inference(quant_inst,[status(thm)],[])).
% 53.70/33.89 tff(7397,plain,
% 53.70/33.89 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB33)) | v130(constB33, 2)),
% 53.70/33.89 inference(modus_ponens,[status(thm)],[7396, 7395])).
% 53.70/33.89 tff(7398,plain,
% 53.70/33.89 (v130(constB33, 2)),
% 53.70/33.89 inference(unit_resolution,[status(thm)],[7397, 2525, 7326])).
% 53.70/33.89 tff(7399,plain,
% 53.70/33.89 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB33) | (~v130(constB33, 2)) | v127(constB33, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB33) | (~v130(constB33, 2)) | v127(constB33, 2))),
% 53.70/33.89 inference(rewrite,[status(thm)],[])).
% 53.70/33.89 tff(7400,plain,
% 53.70/33.89 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB33) | (~v130(constB33, 2)) | v127(constB33, 2))),
% 53.70/33.89 inference(quant_inst,[status(thm)],[])).
% 53.70/33.89 tff(7401,plain,
% 53.70/33.89 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB33) | (~v130(constB33, 2)) | v127(constB33, 2)),
% 53.70/33.89 inference(modus_ponens,[status(thm)],[7400, 7399])).
% 53.70/33.89 tff(7402,plain,
% 53.70/33.89 ((~v130(constB33, 2)) | v127(constB33, 2)),
% 53.70/33.89 inference(unit_resolution,[status(thm)],[7401, 1981, 7348])).
% 53.70/33.89 tff(7403,plain,
% 53.70/33.89 (v127(constB33, 2)),
% 53.70/33.89 inference(unit_resolution,[status(thm)],[7402, 7398])).
% 53.70/33.89 tff(7404,plain,
% 53.70/33.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB33, constB34)) | (~v127(constB33, 2)) | v129(constB34, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB33, constB34)) | (~v127(constB33, 2)) | v129(constB34, 2))),
% 53.70/33.89 inference(rewrite,[status(thm)],[])).
% 53.70/33.89 tff(7405,plain,
% 53.70/33.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB33, constB34)) | (~v127(constB33, 2)) | v129(constB34, 2))),
% 53.70/33.89 inference(quant_inst,[status(thm)],[])).
% 53.70/33.89 tff(7406,plain,
% 53.70/33.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB33, constB34)) | (~v127(constB33, 2)) | v129(constB34, 2)),
% 53.70/33.89 inference(modus_ponens,[status(thm)],[7405, 7404])).
% 53.70/33.89 tff(7407,plain,
% 53.70/33.89 ((~v127(constB33, 2)) | v129(constB34, 2)),
% 53.70/33.89 inference(unit_resolution,[status(thm)],[7406, 1999, 7363])).
% 53.70/33.89 tff(7408,plain,
% 53.70/33.89 (v129(constB34, 2)),
% 53.70/33.89 inference(unit_resolution,[status(thm)],[7407, 7403])).
% 53.70/33.89 tff(7409,plain,
% 53.70/33.89 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB34, 2) | (~v129(constB34, 2)) | (~v100(constB34)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB34, 2) | (~v129(constB34, 2)) | (~v100(constB34)))),
% 53.70/33.89 inference(rewrite,[status(thm)],[])).
% 53.70/33.89 tff(7410,plain,
% 53.70/33.89 ((v90(constB34, 2) | (~v100(constB34)) | (~v129(constB34, 2))) <=> (v90(constB34, 2) | (~v129(constB34, 2)) | (~v100(constB34)))),
% 53.70/33.89 inference(rewrite,[status(thm)],[])).
% 53.70/33.89 tff(7411,plain,
% 53.70/33.89 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB34, 2) | (~v100(constB34)) | (~v129(constB34, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB34, 2) | (~v129(constB34, 2)) | (~v100(constB34))))),
% 53.70/33.89 inference(monotonicity,[status(thm)],[7410])).
% 53.70/33.89 tff(7412,plain,
% 53.70/33.89 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB34, 2) | (~v100(constB34)) | (~v129(constB34, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB34, 2) | (~v129(constB34, 2)) | (~v100(constB34)))),
% 53.70/33.89 inference(transitivity,[status(thm)],[7411, 7409])).
% 53.70/33.89 tff(7413,plain,
% 53.70/33.89 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB34, 2) | (~v100(constB34)) | (~v129(constB34, 2)))),
% 53.70/33.89 inference(quant_inst,[status(thm)],[])).
% 53.70/33.89 tff(7414,plain,
% 53.70/33.89 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB34, 2) | (~v129(constB34, 2)) | (~v100(constB34))),
% 53.70/33.89 inference(modus_ponens,[status(thm)],[7413, 7412])).
% 53.70/33.89 tff(7415,plain,
% 53.70/33.89 (v90(constB34, 2) | (~v100(constB34))),
% 53.70/33.89 inference(unit_resolution,[status(thm)],[7414, 2324, 7408])).
% 53.70/33.89 tff(7416,plain,
% 53.70/33.89 (v90(constB34, 2)),
% 53.70/33.89 inference(unit_resolution,[status(thm)],[7415, 7394])).
% 53.70/33.89 tff(7417,plain,
% 53.70/33.89 ((~v1(constB35)) <=> (~v1(constB35))),
% 53.70/33.89 inference(rewrite,[status(thm)],[])).
% 53.70/33.89 tff(7418,axiom,(~v1(constB35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_35_1_1')).
% 53.70/33.89 tff(7419,plain,
% 53.70/33.89 (~v1(constB35)),
% 53.70/33.89 inference(modus_ponens,[status(thm)],[7418, 7417])).
% 53.70/33.89 tff(7420,plain,
% 53.70/33.89 (nextState(constB34, constB35) <=> nextState(constB34, constB35)),
% 53.70/33.89 inference(rewrite,[status(thm)],[])).
% 53.70/33.89 tff(7421,axiom,(nextState(constB34, constB35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_34_1')).
% 53.70/33.89 tff(7422,plain,
% 53.70/33.89 (nextState(constB34, constB35)),
% 53.70/33.89 inference(modus_ponens,[status(thm)],[7421, 7420])).
% 53.70/33.89 tff(7423,plain,
% 53.70/33.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35)))),
% 53.70/33.89 inference(rewrite,[status(thm)],[])).
% 53.70/33.89 tff(7424,plain,
% 53.70/33.89 (((~nextState(constB34, constB35)) | (~v101(constB35)) | v1(constB35)) <=> (v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35)))),
% 53.70/33.89 inference(rewrite,[status(thm)],[])).
% 53.70/33.89 tff(7425,plain,
% 53.70/33.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB34, constB35)) | (~v101(constB35)) | v1(constB35))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35))))),
% 53.70/33.89 inference(monotonicity,[status(thm)],[7424])).
% 53.70/33.89 tff(7426,plain,
% 53.70/33.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB34, constB35)) | (~v101(constB35)) | v1(constB35))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35)))),
% 53.70/33.89 inference(transitivity,[status(thm)],[7425, 7423])).
% 53.70/33.89 tff(7427,plain,
% 53.70/33.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB34, constB35)) | (~v101(constB35)) | v1(constB35))),
% 53.70/33.89 inference(quant_inst,[status(thm)],[])).
% 53.70/33.89 tff(7428,plain,
% 53.70/33.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB35) | (~nextState(constB34, constB35)) | (~v101(constB35))),
% 53.70/33.89 inference(modus_ponens,[status(thm)],[7427, 7426])).
% 53.70/33.89 tff(7429,plain,
% 53.70/33.89 (~v101(constB35)),
% 53.70/33.89 inference(unit_resolution,[status(thm)],[7428, 873, 7422, 7419])).
% 53.70/33.89 tff(7430,plain,
% 53.70/33.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB34, constB35)) | v101(constB35) | (~v100(constB35)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB34, constB35)) | v101(constB35) | (~v100(constB35)))),
% 53.70/33.89 inference(rewrite,[status(thm)],[])).
% 53.70/33.89 tff(7431,plain,
% 53.70/33.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB34, constB35)) | v101(constB35) | (~v100(constB35)))),
% 53.70/33.89 inference(quant_inst,[status(thm)],[])).
% 53.70/33.89 tff(7432,plain,
% 53.70/33.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB34, constB35)) | v101(constB35) | (~v100(constB35))),
% 53.70/33.89 inference(modus_ponens,[status(thm)],[7431, 7430])).
% 53.70/33.89 tff(7433,plain,
% 53.70/33.89 (v101(constB35) | (~v100(constB35))),
% 53.70/33.89 inference(unit_resolution,[status(thm)],[7432, 890, 7422])).
% 53.70/33.89 tff(7434,plain,
% 53.70/33.89 (~v100(constB35)),
% 53.70/33.89 inference(unit_resolution,[status(thm)],[7433, 7429])).
% 53.70/33.89 tff(7435,plain,
% 53.70/33.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB34, 2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB34, 2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, 2))),
% 53.70/33.89 inference(rewrite,[status(thm)],[])).
% 53.70/33.89 tff(7436,plain,
% 53.70/33.89 (((~nextState(constB34, constB35)) | (~v90(constB34, 2)) | v100(constB35) | v90(constB35, 2)) <=> ((~v90(constB34, 2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, 2))),
% 53.70/33.89 inference(rewrite,[status(thm)],[])).
% 53.70/33.89 tff(7437,plain,
% 53.70/33.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB34, constB35)) | (~v90(constB34, 2)) | v100(constB35) | v90(constB35, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB34, 2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, 2)))),
% 53.70/33.89 inference(monotonicity,[status(thm)],[7436])).
% 53.70/33.89 tff(7438,plain,
% 53.70/33.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB34, constB35)) | (~v90(constB34, 2)) | v100(constB35) | v90(constB35, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB34, 2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, 2))),
% 53.70/33.89 inference(transitivity,[status(thm)],[7437, 7435])).
% 53.70/33.89 tff(7439,plain,
% 53.70/33.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB34, constB35)) | (~v90(constB34, 2)) | v100(constB35) | v90(constB35, 2))),
% 53.70/33.89 inference(quant_inst,[status(thm)],[])).
% 53.70/33.89 tff(7440,plain,
% 53.70/33.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB34, 2)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, 2)),
% 53.70/33.89 inference(modus_ponens,[status(thm)],[7439, 7438])).
% 53.70/33.89 tff(7441,plain,
% 53.70/33.89 ((~v90(constB34, 2)) | v100(constB35) | v90(constB35, 2)),
% 53.70/33.89 inference(unit_resolution,[status(thm)],[7440, 2174, 7422])).
% 53.70/33.89 tff(7442,plain,
% 53.70/33.89 ((~v90(constB34, 2)) | v90(constB35, 2)),
% 53.70/33.89 inference(unit_resolution,[status(thm)],[7441, 7434])).
% 53.70/33.89 tff(7443,plain,
% 53.70/33.89 (v90(constB35, 2)),
% 53.70/33.89 inference(unit_resolution,[status(thm)],[7442, 7416])).
% 53.70/33.89 tff(7444,plain,
% 53.70/33.89 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB33)) | v130(constB33, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB33)) | v130(constB33, 0))),
% 53.70/33.89 inference(rewrite,[status(thm)],[])).
% 53.70/33.89 tff(7445,plain,
% 53.70/33.89 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB33)) | v130(constB33, 0))),
% 53.70/33.89 inference(quant_inst,[status(thm)],[])).
% 53.70/33.89 tff(7446,plain,
% 53.70/33.89 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB33)) | v130(constB33, 0)),
% 53.70/33.89 inference(modus_ponens,[status(thm)],[7445, 7444])).
% 53.70/33.89 tff(7447,plain,
% 53.70/33.89 (v130(constB33, 0)),
% 53.70/33.89 inference(unit_resolution,[status(thm)],[7446, 2622, 7326])).
% 53.70/33.89 tff(7448,plain,
% 53.70/33.89 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB33) | (~v130(constB33, 0)) | v127(constB33, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB33) | (~v130(constB33, 0)) | v127(constB33, 0))),
% 53.70/33.89 inference(rewrite,[status(thm)],[])).
% 53.70/33.89 tff(7449,plain,
% 53.70/33.89 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB33) | (~v130(constB33, 0)) | v127(constB33, 0))),
% 53.70/33.89 inference(quant_inst,[status(thm)],[])).
% 53.70/33.89 tff(7450,plain,
% 53.70/33.89 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB33) | (~v130(constB33, 0)) | v127(constB33, 0)),
% 53.70/33.89 inference(modus_ponens,[status(thm)],[7449, 7448])).
% 53.70/33.89 tff(7451,plain,
% 53.70/33.89 ((~v130(constB33, 0)) | v127(constB33, 0)),
% 53.70/33.89 inference(unit_resolution,[status(thm)],[7450, 1347, 7348])).
% 53.70/33.89 tff(7452,plain,
% 53.70/33.89 (v127(constB33, 0)),
% 53.70/33.89 inference(unit_resolution,[status(thm)],[7451, 7447])).
% 53.70/33.89 tff(7453,plain,
% 53.70/33.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB33, constB34)) | (~v127(constB33, 0)) | v129(constB34, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB33, constB34)) | (~v127(constB33, 0)) | v129(constB34, 0))),
% 53.70/33.90 inference(rewrite,[status(thm)],[])).
% 53.70/33.90 tff(7454,plain,
% 53.70/33.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB33, constB34)) | (~v127(constB33, 0)) | v129(constB34, 0))),
% 53.70/33.90 inference(quant_inst,[status(thm)],[])).
% 53.70/33.90 tff(7455,plain,
% 53.70/33.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB33, constB34)) | (~v127(constB33, 0)) | v129(constB34, 0)),
% 53.70/33.90 inference(modus_ponens,[status(thm)],[7454, 7453])).
% 53.70/33.90 tff(7456,plain,
% 53.70/33.90 ((~v127(constB33, 0)) | v129(constB34, 0)),
% 53.70/33.90 inference(unit_resolution,[status(thm)],[7455, 1362, 7363])).
% 53.70/33.90 tff(7457,plain,
% 53.70/33.90 (v129(constB34, 0)),
% 53.70/33.90 inference(unit_resolution,[status(thm)],[7456, 7452])).
% 53.70/33.90 tff(7458,plain,
% 53.70/33.90 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB34, 0) | (~v129(constB34, 0)) | (~v100(constB34)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB34, 0) | (~v129(constB34, 0)) | (~v100(constB34)))),
% 53.70/33.90 inference(rewrite,[status(thm)],[])).
% 53.70/33.90 tff(7459,plain,
% 53.70/33.90 ((v90(constB34, 0) | (~v100(constB34)) | (~v129(constB34, 0))) <=> (v90(constB34, 0) | (~v129(constB34, 0)) | (~v100(constB34)))),
% 53.70/33.90 inference(rewrite,[status(thm)],[])).
% 53.70/33.90 tff(7460,plain,
% 53.70/33.90 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB34, 0) | (~v100(constB34)) | (~v129(constB34, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB34, 0) | (~v129(constB34, 0)) | (~v100(constB34))))),
% 53.70/33.90 inference(monotonicity,[status(thm)],[7459])).
% 53.70/33.90 tff(7461,plain,
% 53.70/33.90 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB34, 0) | (~v100(constB34)) | (~v129(constB34, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB34, 0) | (~v129(constB34, 0)) | (~v100(constB34)))),
% 53.70/33.90 inference(transitivity,[status(thm)],[7460, 7458])).
% 53.70/33.90 tff(7462,plain,
% 53.70/33.90 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB34, 0) | (~v100(constB34)) | (~v129(constB34, 0)))),
% 53.70/33.90 inference(quant_inst,[status(thm)],[])).
% 53.70/33.90 tff(7463,plain,
% 53.70/33.90 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB34, 0) | (~v129(constB34, 0)) | (~v100(constB34))),
% 53.70/33.90 inference(modus_ponens,[status(thm)],[7462, 7461])).
% 53.70/33.90 tff(7464,plain,
% 53.70/33.90 (v90(constB34, 0) | (~v100(constB34))),
% 53.70/33.90 inference(unit_resolution,[status(thm)],[7463, 1377, 7457])).
% 53.70/33.90 tff(7465,plain,
% 53.70/33.90 (v90(constB34, 0)),
% 53.70/33.90 inference(unit_resolution,[status(thm)],[7464, 7394])).
% 53.70/33.90 tff(7466,plain,
% 53.70/33.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB34, 0)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB34, 0)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, 0))),
% 53.70/33.90 inference(rewrite,[status(thm)],[])).
% 53.70/33.90 tff(7467,plain,
% 53.70/33.90 (((~nextState(constB34, constB35)) | (~v90(constB34, 0)) | v100(constB35) | v90(constB35, 0)) <=> ((~v90(constB34, 0)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, 0))),
% 53.70/33.90 inference(rewrite,[status(thm)],[])).
% 53.70/33.90 tff(7468,plain,
% 53.70/33.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB34, constB35)) | (~v90(constB34, 0)) | v100(constB35) | v90(constB35, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB34, 0)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, 0)))),
% 53.70/33.90 inference(monotonicity,[status(thm)],[7467])).
% 53.70/33.90 tff(7469,plain,
% 53.70/33.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB34, constB35)) | (~v90(constB34, 0)) | v100(constB35) | v90(constB35, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB34, 0)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, 0))),
% 53.70/33.90 inference(transitivity,[status(thm)],[7468, 7466])).
% 53.70/33.90 tff(7470,plain,
% 53.70/33.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB34, constB35)) | (~v90(constB34, 0)) | v100(constB35) | v90(constB35, 0))),
% 53.70/33.90 inference(quant_inst,[status(thm)],[])).
% 53.70/33.90 tff(7471,plain,
% 53.70/33.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB34, 0)) | (~nextState(constB34, constB35)) | v100(constB35) | v90(constB35, 0)),
% 53.70/33.90 inference(modus_ponens,[status(thm)],[7470, 7469])).
% 53.70/33.90 tff(7472,plain,
% 53.70/33.90 ((~v90(constB34, 0)) | v100(constB35) | v90(constB35, 0)),
% 53.70/33.90 inference(unit_resolution,[status(thm)],[7471, 1395, 7422])).
% 53.70/33.90 tff(7473,plain,
% 53.70/33.90 ((~v90(constB34, 0)) | v90(constB35, 0)),
% 53.70/33.90 inference(unit_resolution,[status(thm)],[7472, 7434])).
% 53.70/33.90 tff(7474,plain,
% 53.70/33.90 (v90(constB35, 0)),
% 53.70/33.90 inference(unit_resolution,[status(thm)],[7473, 7465])).
% 53.70/33.90 tff(7475,plain,
% 53.70/33.90 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB33)) | (~v130(constB33, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB33)) | (~v130(constB33, 1)))),
% 53.70/33.90 inference(rewrite,[status(thm)],[])).
% 53.70/33.90 tff(7476,plain,
% 53.70/33.90 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB33)) | (~v130(constB33, 1)))),
% 53.70/33.90 inference(quant_inst,[status(thm)],[])).
% 53.70/33.90 tff(7477,plain,
% 53.70/33.90 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB33)) | (~v130(constB33, 1))),
% 53.70/33.90 inference(modus_ponens,[status(thm)],[7476, 7475])).
% 53.70/33.90 tff(7478,plain,
% 53.70/33.90 (~v130(constB33, 1)),
% 53.70/33.90 inference(unit_resolution,[status(thm)],[7477, 2581, 7326])).
% 53.70/33.90 tff(7479,plain,
% 53.70/33.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB33, 1)) | v26(constB33) | v130(constB33, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB33, 1)) | v26(constB33) | v130(constB33, 1))),
% 53.70/33.90 inference(rewrite,[status(thm)],[])).
% 53.70/33.90 tff(7480,plain,
% 53.70/33.90 ((v26(constB33) | v130(constB33, 1) | (~v127(constB33, 1))) <=> ((~v127(constB33, 1)) | v26(constB33) | v130(constB33, 1))),
% 53.70/33.90 inference(rewrite,[status(thm)],[])).
% 53.70/33.90 tff(7481,plain,
% 53.70/33.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB33) | v130(constB33, 1) | (~v127(constB33, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB33, 1)) | v26(constB33) | v130(constB33, 1)))),
% 53.70/33.90 inference(monotonicity,[status(thm)],[7480])).
% 53.70/33.90 tff(7482,plain,
% 53.70/33.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB33) | v130(constB33, 1) | (~v127(constB33, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB33, 1)) | v26(constB33) | v130(constB33, 1))),
% 53.70/33.90 inference(transitivity,[status(thm)],[7481, 7479])).
% 53.70/33.90 tff(7483,plain,
% 53.70/33.90 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB33) | v130(constB33, 1) | (~v127(constB33, 1)))),
% 53.70/33.90 inference(quant_inst,[status(thm)],[])).
% 53.70/33.90 tff(7484,plain,
% 53.70/33.90 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB33, 1)) | v26(constB33) | v130(constB33, 1)),
% 53.70/33.90 inference(modus_ponens,[status(thm)],[7483, 7482])).
% 53.70/33.90 tff(7485,plain,
% 53.70/33.90 ((~v127(constB33, 1)) | v130(constB33, 1)),
% 53.70/33.90 inference(unit_resolution,[status(thm)],[7484, 1276, 7348])).
% 53.70/33.90 tff(7486,plain,
% 53.70/33.90 (~v127(constB33, 1)),
% 53.70/33.90 inference(unit_resolution,[status(thm)],[7485, 7478])).
% 53.70/33.90 tff(7487,plain,
% 53.70/33.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB33, constB34)) | v127(constB33, 1) | (~v129(constB34, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB33, constB34)) | v127(constB33, 1) | (~v129(constB34, 1)))),
% 53.70/33.90 inference(rewrite,[status(thm)],[])).
% 53.70/33.90 tff(7488,plain,
% 53.70/33.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB33, constB34)) | v127(constB33, 1) | (~v129(constB34, 1)))),
% 53.70/33.90 inference(quant_inst,[status(thm)],[])).
% 53.70/33.90 tff(7489,plain,
% 53.70/33.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB33, constB34)) | v127(constB33, 1) | (~v129(constB34, 1))),
% 53.70/33.90 inference(modus_ponens,[status(thm)],[7488, 7487])).
% 53.70/33.90 tff(7490,plain,
% 53.70/33.90 (v127(constB33, 1) | (~v129(constB34, 1))),
% 53.70/33.90 inference(unit_resolution,[status(thm)],[7489, 1294, 7363])).
% 53.70/33.90 tff(7491,plain,
% 53.70/33.90 (~v129(constB34, 1)),
% 53.70/33.90 inference(unit_resolution,[status(thm)],[7490, 7486])).
% 53.70/33.90 tff(7492,plain,
% 53.70/33.90 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB34, 1)) | v129(constB34, 1) | (~v100(constB34)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB34, 1)) | v129(constB34, 1) | (~v100(constB34)))),
% 53.70/33.90 inference(rewrite,[status(thm)],[])).
% 53.70/33.90 tff(7493,plain,
% 53.70/33.90 (((~v90(constB34, 1)) | (~v100(constB34)) | v129(constB34, 1)) <=> ((~v90(constB34, 1)) | v129(constB34, 1) | (~v100(constB34)))),
% 53.70/33.90 inference(rewrite,[status(thm)],[])).
% 53.70/33.90 tff(7494,plain,
% 53.70/33.90 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB34, 1)) | (~v100(constB34)) | v129(constB34, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB34, 1)) | v129(constB34, 1) | (~v100(constB34))))),
% 53.70/33.90 inference(monotonicity,[status(thm)],[7493])).
% 53.70/33.90 tff(7495,plain,
% 53.70/33.90 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB34, 1)) | (~v100(constB34)) | v129(constB34, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB34, 1)) | v129(constB34, 1) | (~v100(constB34)))),
% 53.70/33.90 inference(transitivity,[status(thm)],[7494, 7492])).
% 53.70/33.90 tff(7496,plain,
% 53.70/33.90 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB34, 1)) | (~v100(constB34)) | v129(constB34, 1))),
% 53.70/33.90 inference(quant_inst,[status(thm)],[])).
% 53.70/33.90 tff(7497,plain,
% 53.70/33.90 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB34, 1)) | v129(constB34, 1) | (~v100(constB34))),
% 53.70/33.90 inference(modus_ponens,[status(thm)],[7496, 7495])).
% 53.70/33.90 tff(7498,plain,
% 53.70/33.90 ((~v90(constB34, 1)) | (~v100(constB34))),
% 53.70/33.90 inference(unit_resolution,[status(thm)],[7497, 1309, 7491])).
% 53.70/33.90 tff(7499,plain,
% 53.70/33.90 (~v90(constB34, 1)),
% 53.70/33.90 inference(unit_resolution,[status(thm)],[7498, 7394])).
% 53.70/33.90 tff(7500,plain,
% 53.70/33.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB34, 1) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB34, 1) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, 1)))),
% 53.70/33.90 inference(rewrite,[status(thm)],[])).
% 53.70/33.90 tff(7501,plain,
% 53.70/33.90 (((~nextState(constB34, constB35)) | v90(constB34, 1) | v100(constB35) | (~v90(constB35, 1))) <=> (v90(constB34, 1) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, 1)))),
% 53.70/33.90 inference(rewrite,[status(thm)],[])).
% 53.70/33.90 tff(7502,plain,
% 53.70/33.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB34, constB35)) | v90(constB34, 1) | v100(constB35) | (~v90(constB35, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB34, 1) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, 1))))),
% 53.70/33.90 inference(monotonicity,[status(thm)],[7501])).
% 53.70/33.90 tff(7503,plain,
% 53.70/33.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB34, constB35)) | v90(constB34, 1) | v100(constB35) | (~v90(constB35, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB34, 1) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, 1)))),
% 53.70/33.90 inference(transitivity,[status(thm)],[7502, 7500])).
% 53.70/33.90 tff(7504,plain,
% 53.70/33.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB34, constB35)) | v90(constB34, 1) | v100(constB35) | (~v90(constB35, 1)))),
% 53.70/33.90 inference(quant_inst,[status(thm)],[])).
% 53.70/33.90 tff(7505,plain,
% 53.70/33.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB34, 1) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, 1))),
% 53.70/33.90 inference(modus_ponens,[status(thm)],[7504, 7503])).
% 53.70/33.90 tff(7506,plain,
% 53.70/33.90 (v90(constB34, 1) | v100(constB35) | (~v90(constB35, 1))),
% 53.70/33.90 inference(unit_resolution,[status(thm)],[7505, 926, 7422])).
% 53.70/33.90 tff(7507,plain,
% 53.70/33.90 (v90(constB34, 1) | (~v90(constB35, 1))),
% 53.70/33.90 inference(unit_resolution,[status(thm)],[7506, 7434])).
% 53.70/33.90 tff(7508,plain,
% 53.70/33.90 (~v90(constB35, 1)),
% 53.70/33.90 inference(unit_resolution,[status(thm)],[7507, 7499])).
% 53.70/33.90 tff(7509,assumption,(~v124(constB35)), introduced(assumption)).
% 53.70/33.90 tff(7510,plain,
% 53.70/33.90 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB35, 0)) | v90(constB35, 1) | (~v90(constB35, 2)) | v124(constB35))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB35, 0)) | v90(constB35, 1) | (~v90(constB35, 2)) | v124(constB35))),
% 53.70/33.90 inference(rewrite,[status(thm)],[])).
% 53.70/33.90 tff(7511,plain,
% 53.70/33.90 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB35, 0)) | v90(constB35, 1) | (~v90(constB35, 2)) | v124(constB35))),
% 53.70/33.90 inference(quant_inst,[status(thm)],[])).
% 53.70/33.90 tff(7512,plain,
% 53.70/33.90 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB35, 0)) | v90(constB35, 1) | (~v90(constB35, 2)) | v124(constB35)),
% 53.70/33.90 inference(modus_ponens,[status(thm)],[7511, 7510])).
% 53.70/33.90 tff(7513,plain,
% 53.70/33.90 ((~v90(constB35, 0)) | v90(constB35, 1) | (~v90(constB35, 2))),
% 53.70/33.90 inference(unit_resolution,[status(thm)],[7512, 2663, 7509])).
% 53.70/33.90 tff(7514,plain,
% 53.70/33.90 ($false),
% 53.70/33.90 inference(unit_resolution,[status(thm)],[7513, 7508, 7474, 7443])).
% 53.70/33.90 tff(7515,plain,((~v123(constB33)) | v124(constB35)), inference(lemma,lemma(discharge,[]))).
% 53.70/33.90 tff(7516,plain,
% 53.70/33.90 (v124(constB35)),
% 53.70/33.90 inference(unit_resolution,[status(thm)],[7515, 7325])).
% 53.70/33.90 tff(7517,plain,
% 53.70/33.90 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB35)) | v114(constB35))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB35)) | v114(constB35))),
% 53.70/33.90 inference(rewrite,[status(thm)],[])).
% 53.70/33.90 tff(7518,plain,
% 53.70/33.90 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB35)) | v114(constB35))),
% 53.70/33.90 inference(quant_inst,[status(thm)],[])).
% 53.70/33.90 tff(7519,plain,
% 53.70/33.90 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB35)) | v114(constB35)),
% 53.70/33.90 inference(modus_ponens,[status(thm)],[7518, 7517])).
% 53.70/33.90 tff(7520,plain,
% 53.70/33.90 (v114(constB35)),
% 53.70/33.90 inference(unit_resolution,[status(thm)],[7519, 2674, 7516])).
% 53.70/33.90 tff(7521,plain,
% 53.70/33.90 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB35) | (~v114(constB35)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB35) | (~v114(constB35)))),
% 53.70/33.90 inference(rewrite,[status(thm)],[])).
% 53.70/33.90 tff(7522,plain,
% 53.70/33.90 (((~v114(constB35)) | v113(constB35)) <=> (v113(constB35) | (~v114(constB35)))),
% 53.70/33.90 inference(rewrite,[status(thm)],[])).
% 53.70/33.90 tff(7523,plain,
% 53.70/33.90 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB35)) | v113(constB35))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB35) | (~v114(constB35))))),
% 53.70/33.90 inference(monotonicity,[status(thm)],[7522])).
% 53.70/33.90 tff(7524,plain,
% 53.70/33.90 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB35)) | v113(constB35))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB35) | (~v114(constB35)))),
% 53.70/33.90 inference(transitivity,[status(thm)],[7523, 7521])).
% 53.70/33.90 tff(7525,plain,
% 53.70/33.90 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB35)) | v113(constB35))),
% 53.70/33.90 inference(quant_inst,[status(thm)],[])).
% 53.70/33.90 tff(7526,plain,
% 53.70/33.90 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB35) | (~v114(constB35))),
% 53.70/33.90 inference(modus_ponens,[status(thm)],[7525, 7524])).
% 53.70/33.90 tff(7527,plain,
% 53.70/33.90 (v113(constB35)),
% 53.70/33.90 inference(unit_resolution,[status(thm)],[7526, 1049, 7520])).
% 53.70/33.90 tff(7528,assumption,(v26(constB35)), introduced(assumption)).
% 53.70/33.90 tff(7529,plain,
% 53.70/33.90 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB35))),
% 53.70/33.90 inference(quant_inst,[status(thm)],[])).
% 53.70/33.90 tff(7530,plain,
% 53.70/33.90 ($false),
% 53.70/33.90 inference(unit_resolution,[status(thm)],[7529, 828, 7528])).
% 53.70/33.90 tff(7531,plain,(~v26(constB35)), inference(lemma,lemma(discharge,[]))).
% 53.70/33.90 tff(7532,plain,
% 53.70/33.90 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB35) | (~v113(constB35)) | v112(constB35))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB35) | (~v113(constB35)) | v112(constB35))),
% 53.70/33.90 inference(rewrite,[status(thm)],[])).
% 53.70/33.90 tff(7533,plain,
% 53.70/33.90 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB35) | (~v113(constB35)) | v112(constB35))),
% 53.70/33.90 inference(quant_inst,[status(thm)],[])).
% 53.70/33.90 tff(7534,plain,
% 53.70/33.90 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB35) | (~v113(constB35)) | v112(constB35)),
% 53.70/33.90 inference(modus_ponens,[status(thm)],[7533, 7532])).
% 53.70/33.90 tff(7535,plain,
% 53.70/33.90 ((~v113(constB35)) | v112(constB35)),
% 53.70/33.90 inference(unit_resolution,[status(thm)],[7534, 1063, 7531])).
% 53.70/33.90 tff(7536,plain,
% 53.70/33.90 (v112(constB35)),
% 53.70/33.90 inference(unit_resolution,[status(thm)],[7535, 7527])).
% 53.70/33.90 tff(7537,plain,
% 53.70/33.90 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB35) | (~v112(constB35)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB35) | (~v112(constB35)))),
% 53.70/33.90 inference(rewrite,[status(thm)],[])).
% 53.70/33.90 tff(7538,plain,
% 53.70/33.90 (((~v112(constB35)) | v108(constB35)) <=> (v108(constB35) | (~v112(constB35)))),
% 53.70/33.90 inference(rewrite,[status(thm)],[])).
% 53.70/33.90 tff(7539,plain,
% 53.70/33.90 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB35)) | v108(constB35))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB35) | (~v112(constB35))))),
% 53.70/33.90 inference(monotonicity,[status(thm)],[7538])).
% 53.70/33.90 tff(7540,plain,
% 53.70/33.90 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB35)) | v108(constB35))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB35) | (~v112(constB35)))),
% 53.70/33.90 inference(transitivity,[status(thm)],[7539, 7537])).
% 53.70/33.90 tff(7541,plain,
% 53.70/33.90 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB35)) | v108(constB35))),
% 53.70/33.90 inference(quant_inst,[status(thm)],[])).
% 53.70/33.90 tff(7542,plain,
% 53.70/33.90 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB35) | (~v112(constB35))),
% 53.70/33.90 inference(modus_ponens,[status(thm)],[7541, 7540])).
% 53.70/33.90 tff(7543,plain,
% 53.70/33.90 (v108(constB35)),
% 53.70/33.90 inference(unit_resolution,[status(thm)],[7542, 1075, 7536])).
% 53.70/33.90 tff(7544,plain,
% 53.70/33.90 (nextState(constB35, constB36) <=> nextState(constB35, constB36)),
% 53.70/33.90 inference(rewrite,[status(thm)],[])).
% 53.70/33.90 tff(7545,axiom,(nextState(constB35, constB36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_35_1')).
% 53.70/33.90 tff(7546,plain,
% 53.70/33.90 (nextState(constB35, constB36)),
% 53.70/33.90 inference(modus_ponens,[status(thm)],[7545, 7544])).
% 53.70/33.90 tff(7547,plain,
% 53.70/33.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35)))),
% 53.70/33.90 inference(rewrite,[status(thm)],[])).
% 53.70/33.90 tff(7548,plain,
% 53.70/33.90 (((~nextState(constB35, constB36)) | (~v108(constB35)) | v110(constB36)) <=> ((~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35)))),
% 53.70/33.90 inference(rewrite,[status(thm)],[])).
% 53.70/33.90 tff(7549,plain,
% 53.70/33.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB35, constB36)) | (~v108(constB35)) | v110(constB36))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35))))),
% 53.70/33.90 inference(monotonicity,[status(thm)],[7548])).
% 53.70/33.90 tff(7550,plain,
% 53.70/33.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB35, constB36)) | (~v108(constB35)) | v110(constB36))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35)))),
% 53.70/33.90 inference(transitivity,[status(thm)],[7549, 7547])).
% 53.70/33.90 tff(7551,plain,
% 53.70/33.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB35, constB36)) | (~v108(constB35)) | v110(constB36))),
% 53.70/33.90 inference(quant_inst,[status(thm)],[])).
% 53.70/33.90 tff(7552,plain,
% 53.70/33.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB35, constB36)) | v110(constB36) | (~v108(constB35))),
% 53.70/33.90 inference(modus_ponens,[status(thm)],[7551, 7550])).
% 53.70/33.90 tff(7553,plain,
% 53.70/33.90 (v110(constB36) | (~v108(constB35))),
% 53.70/33.90 inference(unit_resolution,[status(thm)],[7552, 1095, 7546])).
% 53.70/33.90 tff(7554,plain,
% 53.70/33.90 (v110(constB36)),
% 53.70/33.90 inference(unit_resolution,[status(thm)],[7553, 7543])).
% 53.70/33.90 tff(7555,plain,
% 53.70/33.90 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB35) | (~nextState(constB35, constB36)) | (~v104(constB36)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB35) | (~nextState(constB35, constB36)) | (~v104(constB36)))),
% 53.70/33.90 inference(rewrite,[status(thm)],[])).
% 53.70/33.90 tff(7556,plain,
% 53.70/33.90 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB35) | (~nextState(constB35, constB36)) | (~v104(constB36)))),
% 53.70/33.90 inference(quant_inst,[status(thm)],[])).
% 53.70/33.90 tff(7557,plain,
% 53.70/33.90 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB35) | (~nextState(constB35, constB36)) | (~v104(constB36))),
% 53.70/33.90 inference(modus_ponens,[status(thm)],[7556, 7555])).
% 53.70/33.90 tff(7558,plain,
% 53.70/33.90 (~v104(constB36)),
% 53.70/33.90 inference(unit_resolution,[status(thm)],[7557, 1113, 7546, 7419])).
% 53.70/33.90 tff(7559,plain,
% 53.70/33.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB35, constB36)) | v102(constB36) | v104(constB36))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB35, constB36)) | v102(constB36) | v104(constB36))),
% 53.70/33.90 inference(rewrite,[status(thm)],[])).
% 53.70/33.90 tff(7560,plain,
% 53.70/33.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB35, constB36)) | v102(constB36) | v104(constB36))),
% 53.70/33.90 inference(quant_inst,[status(thm)],[])).
% 53.70/33.90 tff(7561,plain,
% 53.70/33.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB35, constB36)) | v102(constB36) | v104(constB36)),
% 53.70/33.90 inference(modus_ponens,[status(thm)],[7560, 7559])).
% 53.70/33.90 tff(7562,plain,
% 53.70/33.90 (v102(constB36) | v104(constB36)),
% 53.70/33.90 inference(unit_resolution,[status(thm)],[7561, 1127, 7546])).
% 53.70/33.90 tff(7563,plain,
% 53.70/33.90 (v102(constB36)),
% 53.70/33.90 inference(unit_resolution,[status(thm)],[7562, 7558])).
% 53.70/33.90 tff(7564,plain,
% 53.70/33.90 (v1(constB36) <=> v1(constB36)),
% 53.70/33.90 inference(rewrite,[status(thm)],[])).
% 53.70/33.90 tff(7565,axiom,(v1(constB36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_36_1')).
% 53.70/33.90 tff(7566,plain,
% 53.70/33.90 (v1(constB36)),
% 53.70/33.90 inference(modus_ponens,[status(thm)],[7565, 7564])).
% 53.70/33.90 tff(7567,plain,
% 53.70/33.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB35, constB36)) | v101(constB36) | (~v102(constB36)) | (~v1(constB36)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB35, constB36)) | v101(constB36) | (~v102(constB36)) | (~v1(constB36)))),
% 53.70/33.90 inference(rewrite,[status(thm)],[])).
% 53.70/33.90 tff(7568,plain,
% 53.70/33.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB35, constB36)) | v101(constB36) | (~v102(constB36)) | (~v1(constB36)))),
% 53.70/33.90 inference(quant_inst,[status(thm)],[])).
% 53.70/33.90 tff(7569,plain,
% 53.70/33.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB35, constB36)) | v101(constB36) | (~v102(constB36)) | (~v1(constB36))),
% 53.70/33.90 inference(modus_ponens,[status(thm)],[7568, 7567])).
% 53.70/33.90 tff(7570,plain,
% 53.70/33.90 (v101(constB36) | (~v102(constB36))),
% 53.70/33.90 inference(unit_resolution,[status(thm)],[7569, 1145, 7546, 7566])).
% 53.70/33.90 tff(7571,plain,
% 53.70/33.90 (v101(constB36)),
% 53.70/33.90 inference(unit_resolution,[status(thm)],[7570, 7563])).
% 53.70/33.90 tff(7572,plain,
% 53.70/33.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36)))),
% 53.70/33.90 inference(rewrite,[status(thm)],[])).
% 53.70/33.90 tff(7573,plain,
% 53.70/33.90 (((~nextState(constB35, constB36)) | (~v101(constB36)) | (~v110(constB36)) | v100(constB36)) <=> ((~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36)))),
% 53.70/33.90 inference(rewrite,[status(thm)],[])).
% 53.70/33.90 tff(7574,plain,
% 53.70/33.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB35, constB36)) | (~v101(constB36)) | (~v110(constB36)) | v100(constB36))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36))))),
% 53.70/33.90 inference(monotonicity,[status(thm)],[7573])).
% 53.70/33.90 tff(7575,plain,
% 53.70/33.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB35, constB36)) | (~v101(constB36)) | (~v110(constB36)) | v100(constB36))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36)))),
% 53.70/33.90 inference(transitivity,[status(thm)],[7574, 7572])).
% 53.70/33.90 tff(7576,plain,
% 53.70/33.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB35, constB36)) | (~v101(constB36)) | (~v110(constB36)) | v100(constB36))),
% 53.70/33.90 inference(quant_inst,[status(thm)],[])).
% 53.70/33.90 tff(7577,plain,
% 53.70/33.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB35, constB36)) | v100(constB36) | (~v101(constB36)) | (~v110(constB36))),
% 53.70/33.90 inference(modus_ponens,[status(thm)],[7576, 7575])).
% 53.70/33.90 tff(7578,plain,
% 53.70/33.90 (v100(constB36) | (~v101(constB36)) | (~v110(constB36))),
% 53.70/33.90 inference(unit_resolution,[status(thm)],[7577, 1160, 7546])).
% 53.70/33.90 tff(7579,plain,
% 53.70/33.90 (v100(constB36) | (~v110(constB36))),
% 53.70/33.90 inference(unit_resolution,[status(thm)],[7578, 7571])).
% 53.70/33.90 tff(7580,plain,
% 53.70/33.90 (v100(constB36)),
% 53.70/33.90 inference(unit_resolution,[status(thm)],[7579, 7554])).
% 53.70/33.90 tff(7581,plain,
% 53.70/33.90 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB35)) | v130(constB35, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB35)) | v130(constB35, 2))),
% 53.70/33.90 inference(rewrite,[status(thm)],[])).
% 53.70/33.90 tff(7582,plain,
% 53.70/33.90 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB35)) | v130(constB35, 2))),
% 53.70/33.90 inference(quant_inst,[status(thm)],[])).
% 53.70/33.90 tff(7583,plain,
% 53.70/33.90 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB35)) | v130(constB35, 2)),
% 53.70/33.90 inference(modus_ponens,[status(thm)],[7582, 7581])).
% 53.70/33.90 tff(7584,plain,
% 53.70/33.90 (v130(constB35, 2)),
% 53.70/33.90 inference(unit_resolution,[status(thm)],[7583, 2741, 7516])).
% 53.70/33.90 tff(7585,plain,
% 53.70/33.90 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB35) | (~v130(constB35, 2)) | v127(constB35, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB35) | (~v130(constB35, 2)) | v127(constB35, 2))),
% 53.70/33.90 inference(rewrite,[status(thm)],[])).
% 53.70/33.90 tff(7586,plain,
% 53.70/33.90 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB35) | (~v130(constB35, 2)) | v127(constB35, 2))),
% 53.70/33.90 inference(quant_inst,[status(thm)],[])).
% 53.70/33.90 tff(7587,plain,
% 53.70/33.90 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB35) | (~v130(constB35, 2)) | v127(constB35, 2)),
% 53.70/33.90 inference(modus_ponens,[status(thm)],[7586, 7585])).
% 53.70/33.90 tff(7588,plain,
% 53.70/33.90 ((~v130(constB35, 2)) | v127(constB35, 2)),
% 53.70/33.90 inference(unit_resolution,[status(thm)],[7587, 1981, 7531])).
% 53.70/33.90 tff(7589,plain,
% 53.70/33.90 (v127(constB35, 2)),
% 53.70/33.90 inference(unit_resolution,[status(thm)],[7588, 7584])).
% 53.70/33.90 tff(7590,plain,
% 53.70/33.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB35, constB36)) | (~v127(constB35, 2)) | v129(constB36, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB35, constB36)) | (~v127(constB35, 2)) | v129(constB36, 2))),
% 53.70/33.90 inference(rewrite,[status(thm)],[])).
% 53.70/33.90 tff(7591,plain,
% 53.70/33.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB35, constB36)) | (~v127(constB35, 2)) | v129(constB36, 2))),
% 53.70/33.90 inference(quant_inst,[status(thm)],[])).
% 53.70/33.90 tff(7592,plain,
% 53.70/33.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB35, constB36)) | (~v127(constB35, 2)) | v129(constB36, 2)),
% 53.70/33.90 inference(modus_ponens,[status(thm)],[7591, 7590])).
% 53.70/33.90 tff(7593,plain,
% 53.70/33.90 ((~v127(constB35, 2)) | v129(constB36, 2)),
% 53.70/33.90 inference(unit_resolution,[status(thm)],[7592, 1999, 7546])).
% 53.70/33.90 tff(7594,plain,
% 53.70/33.90 (v129(constB36, 2)),
% 53.70/33.90 inference(unit_resolution,[status(thm)],[7593, 7589])).
% 53.70/33.90 tff(7595,plain,
% 53.70/33.90 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB36, 2) | (~v129(constB36, 2)) | (~v100(constB36)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB36, 2) | (~v129(constB36, 2)) | (~v100(constB36)))),
% 53.70/33.90 inference(rewrite,[status(thm)],[])).
% 53.70/33.90 tff(7596,plain,
% 53.70/33.90 ((v90(constB36, 2) | (~v100(constB36)) | (~v129(constB36, 2))) <=> (v90(constB36, 2) | (~v129(constB36, 2)) | (~v100(constB36)))),
% 53.70/33.90 inference(rewrite,[status(thm)],[])).
% 53.70/33.90 tff(7597,plain,
% 53.70/33.90 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB36, 2) | (~v100(constB36)) | (~v129(constB36, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB36, 2) | (~v129(constB36, 2)) | (~v100(constB36))))),
% 53.70/33.90 inference(monotonicity,[status(thm)],[7596])).
% 53.70/33.90 tff(7598,plain,
% 53.70/33.90 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB36, 2) | (~v100(constB36)) | (~v129(constB36, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB36, 2) | (~v129(constB36, 2)) | (~v100(constB36)))),
% 53.70/33.90 inference(transitivity,[status(thm)],[7597, 7595])).
% 53.70/33.90 tff(7599,plain,
% 53.70/33.90 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB36, 2) | (~v100(constB36)) | (~v129(constB36, 2)))),
% 53.70/33.90 inference(quant_inst,[status(thm)],[])).
% 53.70/33.90 tff(7600,plain,
% 53.70/33.90 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB36, 2) | (~v129(constB36, 2)) | (~v100(constB36))),
% 53.70/33.90 inference(modus_ponens,[status(thm)],[7599, 7598])).
% 53.70/33.90 tff(7601,plain,
% 53.70/33.90 (v90(constB36, 2) | (~v100(constB36))),
% 53.70/33.90 inference(unit_resolution,[status(thm)],[7600, 2324, 7594])).
% 53.70/33.90 tff(7602,plain,
% 53.70/33.90 (v90(constB36, 2)),
% 53.70/33.90 inference(unit_resolution,[status(thm)],[7601, 7580])).
% 53.70/33.90 tff(7603,plain,
% 53.70/33.90 ((~v1(constB37)) <=> (~v1(constB37))),
% 53.70/33.90 inference(rewrite,[status(thm)],[])).
% 53.70/33.90 tff(7604,axiom,(~v1(constB37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_37_1_1')).
% 53.70/33.90 tff(7605,plain,
% 53.70/33.90 (~v1(constB37)),
% 53.70/33.90 inference(modus_ponens,[status(thm)],[7604, 7603])).
% 53.70/33.90 tff(7606,plain,
% 53.70/33.90 (nextState(constB36, constB37) <=> nextState(constB36, constB37)),
% 53.70/33.90 inference(rewrite,[status(thm)],[])).
% 53.70/33.90 tff(7607,axiom,(nextState(constB36, constB37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_36_1')).
% 53.70/33.90 tff(7608,plain,
% 53.70/33.90 (nextState(constB36, constB37)),
% 53.70/33.90 inference(modus_ponens,[status(thm)],[7607, 7606])).
% 53.70/33.90 tff(7609,plain,
% 53.70/33.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37)))),
% 53.70/33.90 inference(rewrite,[status(thm)],[])).
% 53.70/33.90 tff(7610,plain,
% 53.70/33.90 (((~nextState(constB36, constB37)) | (~v101(constB37)) | v1(constB37)) <=> (v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37)))),
% 53.70/33.90 inference(rewrite,[status(thm)],[])).
% 53.70/33.90 tff(7611,plain,
% 53.70/33.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB36, constB37)) | (~v101(constB37)) | v1(constB37))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37))))),
% 53.70/33.90 inference(monotonicity,[status(thm)],[7610])).
% 53.70/33.90 tff(7612,plain,
% 53.70/33.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB36, constB37)) | (~v101(constB37)) | v1(constB37))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37)))),
% 53.70/33.90 inference(transitivity,[status(thm)],[7611, 7609])).
% 53.70/33.90 tff(7613,plain,
% 53.70/33.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB36, constB37)) | (~v101(constB37)) | v1(constB37))),
% 53.70/33.90 inference(quant_inst,[status(thm)],[])).
% 53.70/33.90 tff(7614,plain,
% 53.70/33.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB37) | (~nextState(constB36, constB37)) | (~v101(constB37))),
% 53.70/33.90 inference(modus_ponens,[status(thm)],[7613, 7612])).
% 53.70/33.90 tff(7615,plain,
% 53.70/33.90 (~v101(constB37)),
% 53.70/33.90 inference(unit_resolution,[status(thm)],[7614, 873, 7608, 7605])).
% 53.70/33.90 tff(7616,plain,
% 53.70/33.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB36, constB37)) | v101(constB37) | (~v100(constB37)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB36, constB37)) | v101(constB37) | (~v100(constB37)))),
% 53.70/33.90 inference(rewrite,[status(thm)],[])).
% 53.70/33.90 tff(7617,plain,
% 53.70/33.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB36, constB37)) | v101(constB37) | (~v100(constB37)))),
% 53.70/33.90 inference(quant_inst,[status(thm)],[])).
% 53.70/33.90 tff(7618,plain,
% 53.70/33.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB36, constB37)) | v101(constB37) | (~v100(constB37))),
% 53.70/33.90 inference(modus_ponens,[status(thm)],[7617, 7616])).
% 53.70/33.90 tff(7619,plain,
% 53.70/33.90 (v101(constB37) | (~v100(constB37))),
% 53.70/33.90 inference(unit_resolution,[status(thm)],[7618, 890, 7608])).
% 53.70/33.90 tff(7620,plain,
% 53.70/33.90 (~v100(constB37)),
% 53.70/33.90 inference(unit_resolution,[status(thm)],[7619, 7615])).
% 53.70/33.90 tff(7621,plain,
% 53.70/33.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB36, 2)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB36, 2)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, 2))),
% 53.70/33.90 inference(rewrite,[status(thm)],[])).
% 53.70/33.90 tff(7622,plain,
% 53.70/33.90 (((~nextState(constB36, constB37)) | (~v90(constB36, 2)) | v100(constB37) | v90(constB37, 2)) <=> ((~v90(constB36, 2)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, 2))),
% 53.70/33.90 inference(rewrite,[status(thm)],[])).
% 53.70/33.90 tff(7623,plain,
% 53.70/33.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB36, constB37)) | (~v90(constB36, 2)) | v100(constB37) | v90(constB37, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB36, 2)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, 2)))),
% 53.70/33.90 inference(monotonicity,[status(thm)],[7622])).
% 53.70/33.90 tff(7624,plain,
% 53.70/33.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB36, constB37)) | (~v90(constB36, 2)) | v100(constB37) | v90(constB37, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB36, 2)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, 2))),
% 53.70/33.90 inference(transitivity,[status(thm)],[7623, 7621])).
% 53.70/33.90 tff(7625,plain,
% 53.70/33.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB36, constB37)) | (~v90(constB36, 2)) | v100(constB37) | v90(constB37, 2))),
% 53.70/33.90 inference(quant_inst,[status(thm)],[])).
% 53.70/33.90 tff(7626,plain,
% 53.70/33.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB36, 2)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, 2)),
% 53.70/33.90 inference(modus_ponens,[status(thm)],[7625, 7624])).
% 53.70/33.90 tff(7627,plain,
% 53.70/33.90 ((~v90(constB36, 2)) | v100(constB37) | v90(constB37, 2)),
% 53.70/33.90 inference(unit_resolution,[status(thm)],[7626, 2174, 7608])).
% 53.70/33.90 tff(7628,plain,
% 53.70/33.90 ((~v90(constB36, 2)) | v90(constB37, 2)),
% 53.70/33.90 inference(unit_resolution,[status(thm)],[7627, 7620])).
% 53.70/33.90 tff(7629,plain,
% 53.70/33.90 (v90(constB37, 2)),
% 53.70/33.90 inference(unit_resolution,[status(thm)],[7628, 7602])).
% 53.70/33.90 tff(7630,plain,
% 53.70/33.90 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB35)) | v130(constB35, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB35)) | v130(constB35, 1))),
% 53.70/33.90 inference(rewrite,[status(thm)],[])).
% 53.70/33.90 tff(7631,plain,
% 53.70/33.90 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB35)) | v130(constB35, 1))),
% 53.70/33.90 inference(quant_inst,[status(thm)],[])).
% 53.70/33.90 tff(7632,plain,
% 53.70/33.90 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB35)) | v130(constB35, 1)),
% 53.70/33.90 inference(modus_ponens,[status(thm)],[7631, 7630])).
% 53.70/33.90 tff(7633,plain,
% 53.70/33.90 (v130(constB35, 1)),
% 53.70/33.90 inference(unit_resolution,[status(thm)],[7632, 2808, 7516])).
% 53.70/33.90 tff(7634,plain,
% 53.70/33.90 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB35) | (~v130(constB35, 1)) | v127(constB35, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB35) | (~v130(constB35, 1)) | v127(constB35, 1))),
% 53.70/33.90 inference(rewrite,[status(thm)],[])).
% 53.70/33.90 tff(7635,plain,
% 53.70/33.90 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB35) | (~v130(constB35, 1)) | v127(constB35, 1))),
% 53.70/33.90 inference(quant_inst,[status(thm)],[])).
% 53.70/33.90 tff(7636,plain,
% 53.70/33.90 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB35) | (~v130(constB35, 1)) | v127(constB35, 1)),
% 53.70/33.90 inference(modus_ponens,[status(thm)],[7635, 7634])).
% 53.70/33.90 tff(7637,plain,
% 53.70/33.90 ((~v130(constB35, 1)) | v127(constB35, 1)),
% 53.70/33.90 inference(unit_resolution,[status(thm)],[7636, 1593, 7531])).
% 53.70/33.90 tff(7638,plain,
% 53.70/33.90 (v127(constB35, 1)),
% 53.70/33.90 inference(unit_resolution,[status(thm)],[7637, 7633])).
% 53.70/33.90 tff(7639,plain,
% 53.70/33.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB35, constB36)) | (~v127(constB35, 1)) | v129(constB36, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB35, constB36)) | (~v127(constB35, 1)) | v129(constB36, 1))),
% 53.70/33.90 inference(rewrite,[status(thm)],[])).
% 53.70/33.90 tff(7640,plain,
% 53.70/33.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB35, constB36)) | (~v127(constB35, 1)) | v129(constB36, 1))),
% 53.70/33.91 inference(quant_inst,[status(thm)],[])).
% 53.70/33.91 tff(7641,plain,
% 53.70/33.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB35, constB36)) | (~v127(constB35, 1)) | v129(constB36, 1)),
% 53.70/33.91 inference(modus_ponens,[status(thm)],[7640, 7639])).
% 53.70/33.91 tff(7642,plain,
% 53.70/33.91 ((~v127(constB35, 1)) | v129(constB36, 1)),
% 53.70/33.91 inference(unit_resolution,[status(thm)],[7641, 1608, 7546])).
% 53.70/33.91 tff(7643,plain,
% 53.70/33.91 (v129(constB36, 1)),
% 53.70/33.91 inference(unit_resolution,[status(thm)],[7642, 7638])).
% 53.70/33.91 tff(7644,plain,
% 53.70/33.91 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB36, 1) | (~v129(constB36, 1)) | (~v100(constB36)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB36, 1) | (~v129(constB36, 1)) | (~v100(constB36)))),
% 53.70/33.91 inference(rewrite,[status(thm)],[])).
% 53.70/33.91 tff(7645,plain,
% 53.70/33.91 ((v90(constB36, 1) | (~v100(constB36)) | (~v129(constB36, 1))) <=> (v90(constB36, 1) | (~v129(constB36, 1)) | (~v100(constB36)))),
% 53.70/33.91 inference(rewrite,[status(thm)],[])).
% 53.70/33.91 tff(7646,plain,
% 53.70/33.91 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB36, 1) | (~v100(constB36)) | (~v129(constB36, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB36, 1) | (~v129(constB36, 1)) | (~v100(constB36))))),
% 53.70/33.91 inference(monotonicity,[status(thm)],[7645])).
% 53.70/33.91 tff(7647,plain,
% 53.70/33.91 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB36, 1) | (~v100(constB36)) | (~v129(constB36, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB36, 1) | (~v129(constB36, 1)) | (~v100(constB36)))),
% 53.70/33.91 inference(transitivity,[status(thm)],[7646, 7644])).
% 53.70/33.91 tff(7648,plain,
% 53.70/33.91 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB36, 1) | (~v100(constB36)) | (~v129(constB36, 1)))),
% 53.70/33.91 inference(quant_inst,[status(thm)],[])).
% 53.70/33.91 tff(7649,plain,
% 53.70/33.91 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB36, 1) | (~v129(constB36, 1)) | (~v100(constB36))),
% 53.70/33.91 inference(modus_ponens,[status(thm)],[7648, 7647])).
% 53.70/33.91 tff(7650,plain,
% 53.70/33.91 (v90(constB36, 1) | (~v100(constB36))),
% 53.70/33.91 inference(unit_resolution,[status(thm)],[7649, 1623, 7643])).
% 53.70/33.91 tff(7651,plain,
% 53.70/33.91 (v90(constB36, 1)),
% 53.70/33.91 inference(unit_resolution,[status(thm)],[7650, 7580])).
% 53.70/33.91 tff(7652,plain,
% 53.70/33.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB36, 1)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB36, 1)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, 1))),
% 53.70/33.91 inference(rewrite,[status(thm)],[])).
% 53.70/33.91 tff(7653,plain,
% 53.70/33.91 (((~nextState(constB36, constB37)) | (~v90(constB36, 1)) | v100(constB37) | v90(constB37, 1)) <=> ((~v90(constB36, 1)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, 1))),
% 53.70/33.91 inference(rewrite,[status(thm)],[])).
% 53.70/33.91 tff(7654,plain,
% 53.70/33.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB36, constB37)) | (~v90(constB36, 1)) | v100(constB37) | v90(constB37, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB36, 1)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, 1)))),
% 53.70/33.91 inference(monotonicity,[status(thm)],[7653])).
% 53.70/33.91 tff(7655,plain,
% 53.70/33.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB36, constB37)) | (~v90(constB36, 1)) | v100(constB37) | v90(constB37, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB36, 1)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, 1))),
% 53.70/33.91 inference(transitivity,[status(thm)],[7654, 7652])).
% 53.70/33.91 tff(7656,plain,
% 53.70/33.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB36, constB37)) | (~v90(constB36, 1)) | v100(constB37) | v90(constB37, 1))),
% 53.70/33.91 inference(quant_inst,[status(thm)],[])).
% 53.70/33.91 tff(7657,plain,
% 53.70/33.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB36, 1)) | (~nextState(constB36, constB37)) | v100(constB37) | v90(constB37, 1)),
% 53.70/33.91 inference(modus_ponens,[status(thm)],[7656, 7655])).
% 53.70/33.91 tff(7658,plain,
% 53.70/33.91 ((~v90(constB36, 1)) | v100(constB37) | v90(constB37, 1)),
% 53.70/33.91 inference(unit_resolution,[status(thm)],[7657, 1641, 7608])).
% 53.70/33.91 tff(7659,plain,
% 53.70/33.91 ((~v90(constB36, 1)) | v90(constB37, 1)),
% 53.70/33.91 inference(unit_resolution,[status(thm)],[7658, 7620])).
% 53.70/33.91 tff(7660,plain,
% 53.70/33.91 (v90(constB37, 1)),
% 53.70/33.91 inference(unit_resolution,[status(thm)],[7659, 7651])).
% 53.70/33.91 tff(7661,plain,
% 53.70/33.91 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB35)) | (~v130(constB35, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB35)) | (~v130(constB35, 0)))),
% 53.70/33.91 inference(rewrite,[status(thm)],[])).
% 53.70/33.91 tff(7662,plain,
% 53.70/33.91 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB35)) | (~v130(constB35, 0)))),
% 53.70/33.91 inference(quant_inst,[status(thm)],[])).
% 53.70/33.91 tff(7663,plain,
% 53.70/33.91 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB35)) | (~v130(constB35, 0))),
% 53.70/33.91 inference(modus_ponens,[status(thm)],[7662, 7661])).
% 53.70/33.91 tff(7664,plain,
% 53.70/33.91 (~v130(constB35, 0)),
% 53.70/33.91 inference(unit_resolution,[status(thm)],[7663, 3274, 7516])).
% 53.70/33.91 tff(7665,plain,
% 53.70/33.91 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB35, 0)) | v26(constB35) | v130(constB35, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB35, 0)) | v26(constB35) | v130(constB35, 0))),
% 53.70/33.91 inference(rewrite,[status(thm)],[])).
% 53.70/33.91 tff(7666,plain,
% 53.70/33.91 ((v26(constB35) | v130(constB35, 0) | (~v127(constB35, 0))) <=> ((~v127(constB35, 0)) | v26(constB35) | v130(constB35, 0))),
% 53.70/33.91 inference(rewrite,[status(thm)],[])).
% 53.70/33.91 tff(7667,plain,
% 53.70/33.91 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB35) | v130(constB35, 0) | (~v127(constB35, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB35, 0)) | v26(constB35) | v130(constB35, 0)))),
% 53.70/33.91 inference(monotonicity,[status(thm)],[7666])).
% 53.70/33.91 tff(7668,plain,
% 53.70/33.91 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB35) | v130(constB35, 0) | (~v127(constB35, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB35, 0)) | v26(constB35) | v130(constB35, 0))),
% 53.70/33.91 inference(transitivity,[status(thm)],[7667, 7665])).
% 53.70/33.91 tff(7669,plain,
% 53.70/33.91 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB35) | v130(constB35, 0) | (~v127(constB35, 0)))),
% 53.70/33.91 inference(quant_inst,[status(thm)],[])).
% 53.70/33.91 tff(7670,plain,
% 53.70/33.91 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB35, 0)) | v26(constB35) | v130(constB35, 0)),
% 53.70/33.91 inference(modus_ponens,[status(thm)],[7669, 7668])).
% 53.70/33.91 tff(7671,plain,
% 53.70/33.91 ((~v127(constB35, 0)) | v130(constB35, 0)),
% 53.70/33.91 inference(unit_resolution,[status(thm)],[7670, 1671, 7531])).
% 53.70/33.91 tff(7672,plain,
% 53.70/33.91 (~v127(constB35, 0)),
% 53.70/33.91 inference(unit_resolution,[status(thm)],[7671, 7664])).
% 53.70/33.91 tff(7673,plain,
% 53.70/33.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB35, constB36)) | v127(constB35, 0) | (~v129(constB36, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB35, constB36)) | v127(constB35, 0) | (~v129(constB36, 0)))),
% 53.70/33.91 inference(rewrite,[status(thm)],[])).
% 53.70/33.91 tff(7674,plain,
% 53.70/33.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB35, constB36)) | v127(constB35, 0) | (~v129(constB36, 0)))),
% 53.70/33.91 inference(quant_inst,[status(thm)],[])).
% 53.70/33.91 tff(7675,plain,
% 53.70/33.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB35, constB36)) | v127(constB35, 0) | (~v129(constB36, 0))),
% 53.70/33.91 inference(modus_ponens,[status(thm)],[7674, 7673])).
% 53.70/33.91 tff(7676,plain,
% 53.70/33.91 (v127(constB35, 0) | (~v129(constB36, 0))),
% 53.70/33.91 inference(unit_resolution,[status(thm)],[7675, 1689, 7546])).
% 53.70/33.91 tff(7677,plain,
% 53.70/33.91 (~v129(constB36, 0)),
% 53.70/33.91 inference(unit_resolution,[status(thm)],[7676, 7672])).
% 53.70/33.91 tff(7678,plain,
% 53.70/33.91 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB36, 0)) | v129(constB36, 0) | (~v100(constB36)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB36, 0)) | v129(constB36, 0) | (~v100(constB36)))),
% 53.70/33.91 inference(rewrite,[status(thm)],[])).
% 53.70/33.91 tff(7679,plain,
% 53.70/33.91 (((~v90(constB36, 0)) | (~v100(constB36)) | v129(constB36, 0)) <=> ((~v90(constB36, 0)) | v129(constB36, 0) | (~v100(constB36)))),
% 53.70/33.91 inference(rewrite,[status(thm)],[])).
% 53.70/33.91 tff(7680,plain,
% 53.70/33.91 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB36, 0)) | (~v100(constB36)) | v129(constB36, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB36, 0)) | v129(constB36, 0) | (~v100(constB36))))),
% 53.70/33.91 inference(monotonicity,[status(thm)],[7679])).
% 53.70/33.91 tff(7681,plain,
% 53.70/33.91 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB36, 0)) | (~v100(constB36)) | v129(constB36, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB36, 0)) | v129(constB36, 0) | (~v100(constB36)))),
% 53.70/33.91 inference(transitivity,[status(thm)],[7680, 7678])).
% 53.70/33.91 tff(7682,plain,
% 53.70/33.91 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB36, 0)) | (~v100(constB36)) | v129(constB36, 0))),
% 53.70/33.91 inference(quant_inst,[status(thm)],[])).
% 53.70/33.91 tff(7683,plain,
% 53.70/33.91 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB36, 0)) | v129(constB36, 0) | (~v100(constB36))),
% 53.70/33.91 inference(modus_ponens,[status(thm)],[7682, 7681])).
% 53.70/33.91 tff(7684,plain,
% 53.70/33.91 ((~v90(constB36, 0)) | (~v100(constB36))),
% 53.70/33.91 inference(unit_resolution,[status(thm)],[7683, 1704, 7677])).
% 53.70/33.91 tff(7685,plain,
% 53.70/33.91 (~v90(constB36, 0)),
% 53.70/33.91 inference(unit_resolution,[status(thm)],[7684, 7580])).
% 53.70/33.91 tff(7686,plain,
% 53.70/33.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB36, 0) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB36, 0) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, 0)))),
% 53.70/33.91 inference(rewrite,[status(thm)],[])).
% 53.70/33.91 tff(7687,plain,
% 53.70/33.91 (((~nextState(constB36, constB37)) | v90(constB36, 0) | v100(constB37) | (~v90(constB37, 0))) <=> (v90(constB36, 0) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, 0)))),
% 53.70/33.91 inference(rewrite,[status(thm)],[])).
% 53.70/33.91 tff(7688,plain,
% 53.70/33.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB36, constB37)) | v90(constB36, 0) | v100(constB37) | (~v90(constB37, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB36, 0) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, 0))))),
% 53.70/33.91 inference(monotonicity,[status(thm)],[7687])).
% 53.70/33.91 tff(7689,plain,
% 53.70/33.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB36, constB37)) | v90(constB36, 0) | v100(constB37) | (~v90(constB37, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB36, 0) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, 0)))),
% 53.70/33.91 inference(transitivity,[status(thm)],[7688, 7686])).
% 53.70/33.91 tff(7690,plain,
% 53.70/33.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB36, constB37)) | v90(constB36, 0) | v100(constB37) | (~v90(constB37, 0)))),
% 53.70/33.91 inference(quant_inst,[status(thm)],[])).
% 53.70/33.91 tff(7691,plain,
% 53.70/33.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB36, 0) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, 0))),
% 53.70/33.91 inference(modus_ponens,[status(thm)],[7690, 7689])).
% 53.70/33.91 tff(7692,plain,
% 53.70/33.91 (v90(constB36, 0) | v100(constB37) | (~v90(constB37, 0))),
% 53.70/33.91 inference(unit_resolution,[status(thm)],[7691, 947, 7608])).
% 53.70/33.91 tff(7693,plain,
% 53.70/33.91 (v90(constB36, 0) | (~v90(constB37, 0))),
% 53.70/33.91 inference(unit_resolution,[status(thm)],[7692, 7620])).
% 53.70/33.91 tff(7694,plain,
% 53.70/33.91 (~v90(constB37, 0)),
% 53.70/33.91 inference(unit_resolution,[status(thm)],[7693, 7685])).
% 53.70/33.91 tff(7695,plain,
% 53.70/33.91 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB37, 0) | (~v90(constB37, 1)) | (~v90(constB37, 2)) | v125(constB37))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB37, 0) | (~v90(constB37, 1)) | (~v90(constB37, 2)) | v125(constB37))),
% 53.70/33.91 inference(rewrite,[status(thm)],[])).
% 53.70/33.91 tff(7696,plain,
% 53.70/33.91 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB37, 0) | (~v90(constB37, 1)) | (~v90(constB37, 2)) | v125(constB37))),
% 53.70/33.91 inference(quant_inst,[status(thm)],[])).
% 53.70/33.91 tff(7697,plain,
% 53.70/33.91 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB37, 0) | (~v90(constB37, 1)) | (~v90(constB37, 2)) | v125(constB37)),
% 53.70/33.91 inference(modus_ponens,[status(thm)],[7696, 7695])).
% 53.70/33.91 tff(7698,plain,
% 53.70/33.91 (v125(constB37)),
% 53.70/33.91 inference(unit_resolution,[status(thm)],[7697, 2279, 7694, 7660, 7629])).
% 53.70/33.91 tff(7699,plain,
% 53.70/33.91 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB37) | (~v125(constB37)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB37) | (~v125(constB37)))),
% 53.70/33.91 inference(rewrite,[status(thm)],[])).
% 53.70/33.91 tff(7700,plain,
% 53.70/33.91 (((~v125(constB37)) | v113(constB37)) <=> (v113(constB37) | (~v125(constB37)))),
% 53.70/33.91 inference(rewrite,[status(thm)],[])).
% 53.70/33.91 tff(7701,plain,
% 53.70/33.91 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB37)) | v113(constB37))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB37) | (~v125(constB37))))),
% 53.70/33.91 inference(monotonicity,[status(thm)],[7700])).
% 53.70/33.91 tff(7702,plain,
% 53.70/33.91 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB37)) | v113(constB37))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB37) | (~v125(constB37)))),
% 53.70/33.91 inference(transitivity,[status(thm)],[7701, 7699])).
% 53.70/33.91 tff(7703,plain,
% 53.70/33.91 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB37)) | v113(constB37))),
% 53.70/33.91 inference(quant_inst,[status(thm)],[])).
% 53.70/33.91 tff(7704,plain,
% 53.70/33.91 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB37) | (~v125(constB37))),
% 53.70/33.91 inference(modus_ponens,[status(thm)],[7703, 7702])).
% 53.70/33.91 tff(7705,plain,
% 53.70/33.91 (v113(constB37)),
% 53.70/33.91 inference(unit_resolution,[status(thm)],[7704, 2262, 7698])).
% 53.70/33.91 tff(7706,assumption,(v26(constB37)), introduced(assumption)).
% 53.70/33.91 tff(7707,plain,
% 53.70/33.91 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB37))),
% 53.70/33.91 inference(quant_inst,[status(thm)],[])).
% 53.70/33.91 tff(7708,plain,
% 53.70/33.91 ($false),
% 53.70/33.91 inference(unit_resolution,[status(thm)],[7707, 828, 7706])).
% 53.70/33.91 tff(7709,plain,(~v26(constB37)), inference(lemma,lemma(discharge,[]))).
% 53.70/33.91 tff(7710,plain,
% 53.70/33.91 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB37) | v112(constB37) | (~v113(constB37)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB37) | v112(constB37) | (~v113(constB37)))),
% 53.70/33.91 inference(rewrite,[status(thm)],[])).
% 53.70/33.91 tff(7711,plain,
% 53.70/33.91 ((v26(constB37) | (~v113(constB37)) | v112(constB37)) <=> (v26(constB37) | v112(constB37) | (~v113(constB37)))),
% 53.70/33.91 inference(rewrite,[status(thm)],[])).
% 53.70/33.91 tff(7712,plain,
% 53.70/33.91 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB37) | (~v113(constB37)) | v112(constB37))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB37) | v112(constB37) | (~v113(constB37))))),
% 53.70/33.91 inference(monotonicity,[status(thm)],[7711])).
% 53.70/33.91 tff(7713,plain,
% 53.70/33.91 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB37) | (~v113(constB37)) | v112(constB37))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB37) | v112(constB37) | (~v113(constB37)))),
% 53.70/33.91 inference(transitivity,[status(thm)],[7712, 7710])).
% 53.70/33.91 tff(7714,plain,
% 53.70/33.91 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB37) | (~v113(constB37)) | v112(constB37))),
% 53.70/33.91 inference(quant_inst,[status(thm)],[])).
% 53.70/33.91 tff(7715,plain,
% 53.70/33.91 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB37) | v112(constB37) | (~v113(constB37))),
% 53.70/33.91 inference(modus_ponens,[status(thm)],[7714, 7713])).
% 53.70/33.91 tff(7716,plain,
% 53.70/33.91 (v112(constB37) | (~v113(constB37))),
% 53.70/33.91 inference(unit_resolution,[status(thm)],[7715, 1063, 7709])).
% 53.70/33.91 tff(7717,plain,
% 53.70/33.91 (v112(constB37)),
% 53.70/33.91 inference(unit_resolution,[status(thm)],[7716, 7705])).
% 53.70/33.91 tff(7718,plain,
% 53.70/33.91 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB37) | (~v112(constB37)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB37) | (~v112(constB37)))),
% 53.70/33.91 inference(rewrite,[status(thm)],[])).
% 53.70/33.91 tff(7719,plain,
% 53.70/33.91 (((~v112(constB37)) | v108(constB37)) <=> (v108(constB37) | (~v112(constB37)))),
% 53.70/33.91 inference(rewrite,[status(thm)],[])).
% 53.70/33.91 tff(7720,plain,
% 53.70/33.91 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB37)) | v108(constB37))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB37) | (~v112(constB37))))),
% 53.70/33.91 inference(monotonicity,[status(thm)],[7719])).
% 53.70/33.91 tff(7721,plain,
% 53.70/33.91 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB37)) | v108(constB37))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB37) | (~v112(constB37)))),
% 53.70/33.91 inference(transitivity,[status(thm)],[7720, 7718])).
% 53.70/33.91 tff(7722,plain,
% 53.70/33.91 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB37)) | v108(constB37))),
% 53.70/33.91 inference(quant_inst,[status(thm)],[])).
% 53.70/33.91 tff(7723,plain,
% 53.70/33.91 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB37) | (~v112(constB37))),
% 53.70/33.91 inference(modus_ponens,[status(thm)],[7722, 7721])).
% 53.70/33.91 tff(7724,plain,
% 53.70/33.91 (v108(constB37)),
% 53.70/33.91 inference(unit_resolution,[status(thm)],[7723, 1075, 7717])).
% 53.70/33.91 tff(7725,plain,
% 53.70/33.91 (nextState(constB37, constB38) <=> nextState(constB37, constB38)),
% 53.70/33.91 inference(rewrite,[status(thm)],[])).
% 53.70/33.91 tff(7726,axiom,(nextState(constB37, constB38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_37_1')).
% 53.70/33.91 tff(7727,plain,
% 53.70/33.91 (nextState(constB37, constB38)),
% 53.70/33.91 inference(modus_ponens,[status(thm)],[7726, 7725])).
% 53.70/33.91 tff(7728,plain,
% 53.70/33.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37)))),
% 53.70/33.91 inference(rewrite,[status(thm)],[])).
% 53.70/33.91 tff(7729,plain,
% 53.70/33.91 (((~nextState(constB37, constB38)) | (~v108(constB37)) | v110(constB38)) <=> ((~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37)))),
% 53.70/33.91 inference(rewrite,[status(thm)],[])).
% 53.70/33.91 tff(7730,plain,
% 53.70/33.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB37, constB38)) | (~v108(constB37)) | v110(constB38))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37))))),
% 53.70/33.91 inference(monotonicity,[status(thm)],[7729])).
% 53.70/33.91 tff(7731,plain,
% 53.70/33.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB37, constB38)) | (~v108(constB37)) | v110(constB38))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37)))),
% 53.70/33.91 inference(transitivity,[status(thm)],[7730, 7728])).
% 53.70/33.91 tff(7732,plain,
% 53.70/33.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB37, constB38)) | (~v108(constB37)) | v110(constB38))),
% 53.70/33.91 inference(quant_inst,[status(thm)],[])).
% 53.70/33.91 tff(7733,plain,
% 53.70/33.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB37, constB38)) | v110(constB38) | (~v108(constB37))),
% 53.70/33.91 inference(modus_ponens,[status(thm)],[7732, 7731])).
% 53.70/33.91 tff(7734,plain,
% 53.70/33.91 (v110(constB38) | (~v108(constB37))),
% 53.70/33.91 inference(unit_resolution,[status(thm)],[7733, 1095, 7727])).
% 53.70/33.91 tff(7735,plain,
% 53.70/33.91 (v110(constB38)),
% 53.70/33.91 inference(unit_resolution,[status(thm)],[7734, 7724])).
% 53.70/33.91 tff(7736,plain,
% 53.70/33.91 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB37) | (~nextState(constB37, constB38)) | (~v104(constB38)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB37) | (~nextState(constB37, constB38)) | (~v104(constB38)))),
% 53.70/33.91 inference(rewrite,[status(thm)],[])).
% 53.70/33.91 tff(7737,plain,
% 53.70/33.91 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB37) | (~nextState(constB37, constB38)) | (~v104(constB38)))),
% 53.70/33.91 inference(quant_inst,[status(thm)],[])).
% 53.70/33.91 tff(7738,plain,
% 53.70/33.91 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB37) | (~nextState(constB37, constB38)) | (~v104(constB38))),
% 53.70/33.91 inference(modus_ponens,[status(thm)],[7737, 7736])).
% 53.70/33.91 tff(7739,plain,
% 53.70/33.91 (~v104(constB38)),
% 53.70/33.91 inference(unit_resolution,[status(thm)],[7738, 1113, 7727, 7605])).
% 53.70/33.91 tff(7740,plain,
% 53.70/33.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB37, constB38)) | v102(constB38) | v104(constB38))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB37, constB38)) | v102(constB38) | v104(constB38))),
% 53.70/33.91 inference(rewrite,[status(thm)],[])).
% 53.70/33.91 tff(7741,plain,
% 53.70/33.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB37, constB38)) | v102(constB38) | v104(constB38))),
% 53.70/33.91 inference(quant_inst,[status(thm)],[])).
% 53.70/33.91 tff(7742,plain,
% 53.70/33.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB37, constB38)) | v102(constB38) | v104(constB38)),
% 53.70/33.91 inference(modus_ponens,[status(thm)],[7741, 7740])).
% 53.70/33.91 tff(7743,plain,
% 53.70/33.91 (v102(constB38) | v104(constB38)),
% 53.70/33.91 inference(unit_resolution,[status(thm)],[7742, 1127, 7727])).
% 53.70/33.91 tff(7744,plain,
% 53.70/33.91 (v102(constB38)),
% 53.70/33.91 inference(unit_resolution,[status(thm)],[7743, 7739])).
% 53.70/33.91 tff(7745,plain,
% 53.70/33.91 (v1(constB38) <=> v1(constB38)),
% 53.70/33.91 inference(rewrite,[status(thm)],[])).
% 53.70/33.91 tff(7746,axiom,(v1(constB38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_38_1')).
% 53.70/33.91 tff(7747,plain,
% 53.70/33.91 (v1(constB38)),
% 53.70/33.91 inference(modus_ponens,[status(thm)],[7746, 7745])).
% 53.70/33.91 tff(7748,plain,
% 53.70/33.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB37, constB38)) | v101(constB38) | (~v102(constB38)) | (~v1(constB38)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB37, constB38)) | v101(constB38) | (~v102(constB38)) | (~v1(constB38)))),
% 53.70/33.91 inference(rewrite,[status(thm)],[])).
% 53.70/33.91 tff(7749,plain,
% 53.70/33.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB37, constB38)) | v101(constB38) | (~v102(constB38)) | (~v1(constB38)))),
% 53.70/33.91 inference(quant_inst,[status(thm)],[])).
% 53.70/33.91 tff(7750,plain,
% 53.70/33.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB37, constB38)) | v101(constB38) | (~v102(constB38)) | (~v1(constB38))),
% 53.70/33.91 inference(modus_ponens,[status(thm)],[7749, 7748])).
% 53.70/33.91 tff(7751,plain,
% 53.70/33.91 (v101(constB38) | (~v102(constB38))),
% 53.70/33.91 inference(unit_resolution,[status(thm)],[7750, 1145, 7727, 7747])).
% 53.70/33.91 tff(7752,plain,
% 53.70/33.91 (v101(constB38)),
% 53.70/33.91 inference(unit_resolution,[status(thm)],[7751, 7744])).
% 53.70/33.91 tff(7753,plain,
% 53.70/33.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38)))),
% 53.70/33.91 inference(rewrite,[status(thm)],[])).
% 53.70/33.91 tff(7754,plain,
% 53.70/33.91 (((~nextState(constB37, constB38)) | (~v101(constB38)) | (~v110(constB38)) | v100(constB38)) <=> ((~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38)))),
% 53.70/33.91 inference(rewrite,[status(thm)],[])).
% 53.70/33.91 tff(7755,plain,
% 53.70/33.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB37, constB38)) | (~v101(constB38)) | (~v110(constB38)) | v100(constB38))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38))))),
% 53.70/33.91 inference(monotonicity,[status(thm)],[7754])).
% 53.70/33.91 tff(7756,plain,
% 53.70/33.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB37, constB38)) | (~v101(constB38)) | (~v110(constB38)) | v100(constB38))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38)))),
% 53.70/33.91 inference(transitivity,[status(thm)],[7755, 7753])).
% 53.70/33.91 tff(7757,plain,
% 53.70/33.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB37, constB38)) | (~v101(constB38)) | (~v110(constB38)) | v100(constB38))),
% 53.70/33.91 inference(quant_inst,[status(thm)],[])).
% 53.70/33.91 tff(7758,plain,
% 53.70/33.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB37, constB38)) | v100(constB38) | (~v101(constB38)) | (~v110(constB38))),
% 53.70/33.91 inference(modus_ponens,[status(thm)],[7757, 7756])).
% 53.70/33.91 tff(7759,plain,
% 53.70/33.91 (v100(constB38) | (~v101(constB38)) | (~v110(constB38))),
% 53.70/33.91 inference(unit_resolution,[status(thm)],[7758, 1160, 7727])).
% 53.70/33.91 tff(7760,plain,
% 53.70/33.91 (v100(constB38) | (~v110(constB38))),
% 53.70/33.91 inference(unit_resolution,[status(thm)],[7759, 7752])).
% 53.70/33.91 tff(7761,plain,
% 53.70/33.91 (v100(constB38)),
% 53.70/33.91 inference(unit_resolution,[status(thm)],[7760, 7735])).
% 53.70/33.91 tff(7762,plain,
% 53.70/33.91 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB37)) | (~v90(constB37, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB37)) | (~v90(constB37, 1)))),
% 53.70/33.91 inference(rewrite,[status(thm)],[])).
% 53.70/33.91 tff(7763,plain,
% 53.70/33.91 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB37)) | (~v90(constB37, 1)))),
% 53.70/33.91 inference(quant_inst,[status(thm)],[])).
% 53.70/33.91 tff(7764,plain,
% 53.70/33.91 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB37)) | (~v90(constB37, 1))),
% 53.70/33.91 inference(modus_ponens,[status(thm)],[7763, 7762])).
% 53.70/33.91 tff(7765,plain,
% 53.70/33.91 (~v119(constB37)),
% 53.70/33.91 inference(unit_resolution,[status(thm)],[7764, 2868, 7660])).
% 53.70/33.91 tff(7766,plain,
% 53.70/33.91 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB37)) | (~v90(constB37, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB37)) | (~v90(constB37, 1)))),
% 53.70/33.91 inference(rewrite,[status(thm)],[])).
% 53.70/33.91 tff(7767,plain,
% 53.70/33.91 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB37)) | (~v90(constB37, 1)))),
% 53.70/33.91 inference(quant_inst,[status(thm)],[])).
% 53.70/33.91 tff(7768,plain,
% 53.70/33.91 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB37)) | (~v90(constB37, 1))),
% 53.70/33.91 inference(modus_ponens,[status(thm)],[7767, 7766])).
% 53.70/33.91 tff(7769,plain,
% 53.70/33.91 (~v124(constB37)),
% 53.70/33.91 inference(unit_resolution,[status(thm)],[7768, 2890, 7660])).
% 53.70/33.91 tff(7770,plain,
% 53.70/33.91 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB37)) | (~v90(constB37, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB37)) | (~v90(constB37, 2)))),
% 53.70/33.91 inference(rewrite,[status(thm)],[])).
% 53.70/33.91 tff(7771,plain,
% 53.70/33.91 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB37)) | (~v90(constB37, 2)))),
% 53.70/33.91 inference(quant_inst,[status(thm)],[])).
% 53.70/33.91 tff(7772,plain,
% 53.70/33.91 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB37)) | (~v90(constB37, 2))),
% 53.70/33.91 inference(modus_ponens,[status(thm)],[7771, 7770])).
% 53.70/33.91 tff(7773,plain,
% 53.70/33.91 (~v121(constB37)),
% 53.70/33.91 inference(unit_resolution,[status(thm)],[7772, 2857, 7629])).
% 53.70/33.91 tff(7774,plain,
% 53.70/33.91 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB37)) | (~v90(constB37, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB37)) | (~v90(constB37, 2)))),
% 53.70/33.91 inference(rewrite,[status(thm)],[])).
% 53.70/33.91 tff(7775,plain,
% 53.70/33.91 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB37)) | (~v90(constB37, 2)))),
% 53.70/33.91 inference(quant_inst,[status(thm)],[])).
% 53.70/33.91 tff(7776,plain,
% 53.70/33.91 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB37)) | (~v90(constB37, 2))),
% 53.70/33.91 inference(modus_ponens,[status(thm)],[7775, 7774])).
% 53.70/33.91 tff(7777,plain,
% 53.70/33.91 (~v122(constB37)),
% 53.70/33.91 inference(unit_resolution,[status(thm)],[7776, 2797, 7629])).
% 53.70/33.91 tff(7778,plain,
% 53.70/33.91 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB37)) | (~v90(constB37, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB37)) | (~v90(constB37, 1)))),
% 53.70/33.91 inference(rewrite,[status(thm)],[])).
% 53.70/33.91 tff(7779,plain,
% 53.70/33.91 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB37)) | (~v90(constB37, 1)))),
% 53.70/33.91 inference(quant_inst,[status(thm)],[])).
% 53.70/33.91 tff(7780,plain,
% 53.70/33.91 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB37)) | (~v90(constB37, 1))),
% 53.70/33.91 inference(modus_ponens,[status(thm)],[7779, 7778])).
% 53.70/33.91 tff(7781,plain,
% 53.70/33.91 (~v123(constB37)),
% 53.70/33.91 inference(unit_resolution,[status(thm)],[7780, 2879, 7660])).
% 53.70/33.91 tff(7782,plain,
% 53.70/33.91 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB37)) | (~v90(constB37, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB37)) | (~v90(constB37, 1)))),
% 53.70/33.91 inference(rewrite,[status(thm)],[])).
% 53.70/33.91 tff(7783,plain,
% 53.70/33.91 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB37)) | (~v90(constB37, 1)))),
% 53.70/33.91 inference(quant_inst,[status(thm)],[])).
% 53.70/33.91 tff(7784,plain,
% 53.70/33.91 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB37)) | (~v90(constB37, 1))),
% 53.70/33.91 inference(modus_ponens,[status(thm)],[7783, 7782])).
% 53.70/33.91 tff(7785,plain,
% 53.70/33.91 (~v120(constB37)),
% 53.70/33.91 inference(unit_resolution,[status(thm)],[7784, 2846, 7660])).
% 53.70/33.91 tff(7786,plain,
% 53.70/33.91 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, 1)))),
% 53.70/33.91 inference(rewrite,[status(thm)],[])).
% 53.70/33.91 tff(7787,plain,
% 53.70/33.91 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, 1)))),
% 53.70/33.91 inference(quant_inst,[status(thm)],[])).
% 53.70/33.91 tff(7788,plain,
% 53.70/33.91 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, 1))),
% 53.70/33.91 inference(modus_ponens,[status(thm)],[7787, 7786])).
% 53.70/33.91 tff(7789,plain,
% 53.70/33.91 (~v130(constB37, 1)),
% 53.70/33.91 inference(unit_resolution,[status(thm)],[7788, 3309, 7785, 7781, 7777, 7773, 7769, 7765])).
% 53.70/33.91 tff(7790,plain,
% 53.70/33.91 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB37, 1)) | v26(constB37) | v130(constB37, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB37, 1)) | v26(constB37) | v130(constB37, 1))),
% 53.70/33.91 inference(rewrite,[status(thm)],[])).
% 53.70/33.91 tff(7791,plain,
% 53.70/33.91 ((v26(constB37) | v130(constB37, 1) | (~v127(constB37, 1))) <=> ((~v127(constB37, 1)) | v26(constB37) | v130(constB37, 1))),
% 53.70/33.91 inference(rewrite,[status(thm)],[])).
% 53.70/33.91 tff(7792,plain,
% 53.70/33.91 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB37) | v130(constB37, 1) | (~v127(constB37, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB37, 1)) | v26(constB37) | v130(constB37, 1)))),
% 53.70/33.91 inference(monotonicity,[status(thm)],[7791])).
% 53.70/33.91 tff(7793,plain,
% 53.70/33.91 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB37) | v130(constB37, 1) | (~v127(constB37, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB37, 1)) | v26(constB37) | v130(constB37, 1))),
% 53.70/33.91 inference(transitivity,[status(thm)],[7792, 7790])).
% 53.70/33.91 tff(7794,plain,
% 53.70/33.91 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB37) | v130(constB37, 1) | (~v127(constB37, 1)))),
% 53.70/33.91 inference(quant_inst,[status(thm)],[])).
% 53.70/33.91 tff(7795,plain,
% 53.70/33.91 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB37, 1)) | v26(constB37) | v130(constB37, 1)),
% 53.70/33.91 inference(modus_ponens,[status(thm)],[7794, 7793])).
% 53.70/33.91 tff(7796,plain,
% 53.70/33.91 ((~v127(constB37, 1)) | v130(constB37, 1)),
% 53.70/33.91 inference(unit_resolution,[status(thm)],[7795, 1276, 7709])).
% 53.70/33.91 tff(7797,plain,
% 53.70/33.91 (~v127(constB37, 1)),
% 53.70/33.91 inference(unit_resolution,[status(thm)],[7796, 7789])).
% 53.70/33.91 tff(7798,plain,
% 53.70/33.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB37, constB38)) | v127(constB37, 1) | (~v129(constB38, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB37, constB38)) | v127(constB37, 1) | (~v129(constB38, 1)))),
% 53.70/33.91 inference(rewrite,[status(thm)],[])).
% 53.70/33.91 tff(7799,plain,
% 53.70/33.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB37, constB38)) | v127(constB37, 1) | (~v129(constB38, 1)))),
% 53.70/33.91 inference(quant_inst,[status(thm)],[])).
% 53.70/33.91 tff(7800,plain,
% 53.70/33.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB37, constB38)) | v127(constB37, 1) | (~v129(constB38, 1))),
% 53.70/33.91 inference(modus_ponens,[status(thm)],[7799, 7798])).
% 53.70/33.91 tff(7801,plain,
% 53.70/33.91 (v127(constB37, 1) | (~v129(constB38, 1))),
% 53.70/33.91 inference(unit_resolution,[status(thm)],[7800, 1294, 7727])).
% 53.70/33.91 tff(7802,plain,
% 53.70/33.91 (~v129(constB38, 1)),
% 53.70/33.91 inference(unit_resolution,[status(thm)],[7801, 7797])).
% 53.70/33.91 tff(7803,plain,
% 53.70/33.91 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB38, 1)) | v129(constB38, 1) | (~v100(constB38)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB38, 1)) | v129(constB38, 1) | (~v100(constB38)))),
% 53.70/33.91 inference(rewrite,[status(thm)],[])).
% 53.70/33.91 tff(7804,plain,
% 53.70/33.91 (((~v90(constB38, 1)) | (~v100(constB38)) | v129(constB38, 1)) <=> ((~v90(constB38, 1)) | v129(constB38, 1) | (~v100(constB38)))),
% 53.70/33.91 inference(rewrite,[status(thm)],[])).
% 53.70/33.91 tff(7805,plain,
% 53.70/33.91 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB38, 1)) | (~v100(constB38)) | v129(constB38, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB38, 1)) | v129(constB38, 1) | (~v100(constB38))))),
% 53.70/33.91 inference(monotonicity,[status(thm)],[7804])).
% 53.70/33.91 tff(7806,plain,
% 53.70/33.91 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB38, 1)) | (~v100(constB38)) | v129(constB38, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB38, 1)) | v129(constB38, 1) | (~v100(constB38)))),
% 53.70/33.91 inference(transitivity,[status(thm)],[7805, 7803])).
% 53.70/33.91 tff(7807,plain,
% 53.70/33.91 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB38, 1)) | (~v100(constB38)) | v129(constB38, 1))),
% 53.70/33.91 inference(quant_inst,[status(thm)],[])).
% 53.70/33.91 tff(7808,plain,
% 53.70/33.91 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB38, 1)) | v129(constB38, 1) | (~v100(constB38))),
% 53.70/33.91 inference(modus_ponens,[status(thm)],[7807, 7806])).
% 53.70/33.91 tff(7809,plain,
% 53.70/33.91 ((~v90(constB38, 1)) | (~v100(constB38))),
% 53.70/33.91 inference(unit_resolution,[status(thm)],[7808, 1309, 7802])).
% 53.70/33.91 tff(7810,plain,
% 53.70/33.91 (~v90(constB38, 1)),
% 53.70/33.91 inference(unit_resolution,[status(thm)],[7809, 7761])).
% 53.70/33.91 tff(7811,plain,
% 53.70/33.91 ((~v1(constB39)) <=> (~v1(constB39))),
% 53.70/33.91 inference(rewrite,[status(thm)],[])).
% 53.70/33.91 tff(7812,axiom,(~v1(constB39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_39_1_1')).
% 53.70/33.91 tff(7813,plain,
% 53.70/33.91 (~v1(constB39)),
% 53.70/33.91 inference(modus_ponens,[status(thm)],[7812, 7811])).
% 53.70/33.91 tff(7814,plain,
% 53.70/33.91 (nextState(constB38, constB39) <=> nextState(constB38, constB39)),
% 53.70/33.91 inference(rewrite,[status(thm)],[])).
% 53.70/33.91 tff(7815,axiom,(nextState(constB38, constB39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_38_1')).
% 53.70/33.91 tff(7816,plain,
% 53.70/33.91 (nextState(constB38, constB39)),
% 53.70/33.91 inference(modus_ponens,[status(thm)],[7815, 7814])).
% 53.70/33.91 tff(7817,plain,
% 53.70/33.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39)))),
% 53.70/33.91 inference(rewrite,[status(thm)],[])).
% 53.70/33.91 tff(7818,plain,
% 53.70/33.91 (((~nextState(constB38, constB39)) | (~v101(constB39)) | v1(constB39)) <=> (v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39)))),
% 53.70/33.91 inference(rewrite,[status(thm)],[])).
% 53.70/33.91 tff(7819,plain,
% 53.70/33.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB38, constB39)) | (~v101(constB39)) | v1(constB39))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39))))),
% 53.70/33.91 inference(monotonicity,[status(thm)],[7818])).
% 53.70/33.91 tff(7820,plain,
% 53.70/33.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB38, constB39)) | (~v101(constB39)) | v1(constB39))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39)))),
% 53.70/33.91 inference(transitivity,[status(thm)],[7819, 7817])).
% 53.70/33.91 tff(7821,plain,
% 53.70/33.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB38, constB39)) | (~v101(constB39)) | v1(constB39))),
% 53.70/33.91 inference(quant_inst,[status(thm)],[])).
% 53.70/33.91 tff(7822,plain,
% 53.70/33.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB39) | (~nextState(constB38, constB39)) | (~v101(constB39))),
% 53.70/33.91 inference(modus_ponens,[status(thm)],[7821, 7820])).
% 53.70/33.91 tff(7823,plain,
% 53.70/33.91 (~v101(constB39)),
% 53.70/33.91 inference(unit_resolution,[status(thm)],[7822, 873, 7816, 7813])).
% 53.70/33.91 tff(7824,plain,
% 53.70/33.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB38, constB39)) | v101(constB39) | (~v100(constB39)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB38, constB39)) | v101(constB39) | (~v100(constB39)))),
% 53.70/33.91 inference(rewrite,[status(thm)],[])).
% 53.70/33.91 tff(7825,plain,
% 53.70/33.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB38, constB39)) | v101(constB39) | (~v100(constB39)))),
% 53.70/33.91 inference(quant_inst,[status(thm)],[])).
% 53.70/33.91 tff(7826,plain,
% 53.70/33.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB38, constB39)) | v101(constB39) | (~v100(constB39))),
% 53.70/33.92 inference(modus_ponens,[status(thm)],[7825, 7824])).
% 53.70/33.92 tff(7827,plain,
% 53.70/33.92 (v101(constB39) | (~v100(constB39))),
% 53.70/33.92 inference(unit_resolution,[status(thm)],[7826, 890, 7816])).
% 53.70/33.92 tff(7828,plain,
% 53.70/33.92 (~v100(constB39)),
% 53.70/33.92 inference(unit_resolution,[status(thm)],[7827, 7823])).
% 53.70/33.92 tff(7829,plain,
% 53.70/33.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB38, 1) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB38, 1) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, 1)))),
% 53.70/33.92 inference(rewrite,[status(thm)],[])).
% 53.70/33.92 tff(7830,plain,
% 53.70/33.92 (((~nextState(constB38, constB39)) | v90(constB38, 1) | v100(constB39) | (~v90(constB39, 1))) <=> (v90(constB38, 1) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, 1)))),
% 53.70/33.92 inference(rewrite,[status(thm)],[])).
% 53.70/33.92 tff(7831,plain,
% 53.70/33.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB38, constB39)) | v90(constB38, 1) | v100(constB39) | (~v90(constB39, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB38, 1) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, 1))))),
% 53.70/33.92 inference(monotonicity,[status(thm)],[7830])).
% 53.70/33.92 tff(7832,plain,
% 53.70/33.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB38, constB39)) | v90(constB38, 1) | v100(constB39) | (~v90(constB39, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB38, 1) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, 1)))),
% 53.70/33.92 inference(transitivity,[status(thm)],[7831, 7829])).
% 53.70/33.92 tff(7833,plain,
% 53.70/33.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB38, constB39)) | v90(constB38, 1) | v100(constB39) | (~v90(constB39, 1)))),
% 53.70/33.92 inference(quant_inst,[status(thm)],[])).
% 53.70/33.92 tff(7834,plain,
% 53.70/33.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB38, 1) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, 1))),
% 53.70/33.92 inference(modus_ponens,[status(thm)],[7833, 7832])).
% 53.70/33.92 tff(7835,plain,
% 53.70/33.92 (v90(constB38, 1) | v100(constB39) | (~v90(constB39, 1))),
% 53.70/33.92 inference(unit_resolution,[status(thm)],[7834, 926, 7816])).
% 53.70/33.92 tff(7836,plain,
% 53.70/33.92 (v90(constB38, 1) | (~v90(constB39, 1))),
% 53.70/33.92 inference(unit_resolution,[status(thm)],[7835, 7828])).
% 53.70/33.92 tff(7837,plain,
% 53.70/33.92 (~v90(constB39, 1)),
% 53.70/33.92 inference(unit_resolution,[status(thm)],[7836, 7810])).
% 53.70/33.92 tff(7838,plain,
% 53.70/33.92 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | ((~v122(constB39)) | v90(constB39, 1))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | (~v122(constB39)) | v90(constB39, 1))),
% 53.70/33.92 inference(rewrite,[status(thm)],[])).
% 53.70/33.92 tff(7839,plain,
% 53.70/33.92 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | ((~v122(constB39)) | v90(constB39, 1))),
% 53.70/33.92 inference(quant_inst,[status(thm)],[])).
% 53.70/33.92 tff(7840,plain,
% 53.70/33.92 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | (~v122(constB39)) | v90(constB39, 1)),
% 53.70/33.92 inference(modus_ponens,[status(thm)],[7839, 7838])).
% 53.70/33.92 tff(7841,plain,
% 53.70/33.92 (~v122(constB39)),
% 53.70/33.92 inference(unit_resolution,[status(thm)],[7840, 5282, 7837])).
% 53.70/33.92 tff(7842,plain,
% 53.70/33.92 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | v130(constB37, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | v130(constB37, 0))),
% 53.70/33.92 inference(rewrite,[status(thm)],[])).
% 53.70/33.92 tff(7843,plain,
% 53.70/33.92 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | v130(constB37, 0))),
% 53.70/33.92 inference(quant_inst,[status(thm)],[])).
% 53.70/33.92 tff(7844,plain,
% 53.70/33.92 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | v130(constB37, 0)),
% 53.70/33.92 inference(modus_ponens,[status(thm)],[7843, 7842])).
% 53.70/33.92 tff(7845,plain,
% 53.70/33.92 (v130(constB37, 0)),
% 53.70/33.92 inference(unit_resolution,[status(thm)],[7844, 3413, 7785, 7781, 7777, 7773, 7769, 7765])).
% 53.70/33.92 tff(7846,plain,
% 53.70/33.92 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB37) | (~v130(constB37, 0)) | v127(constB37, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB37) | (~v130(constB37, 0)) | v127(constB37, 0))),
% 53.70/33.92 inference(rewrite,[status(thm)],[])).
% 53.70/33.92 tff(7847,plain,
% 53.70/33.92 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB37) | (~v130(constB37, 0)) | v127(constB37, 0))),
% 53.70/33.92 inference(quant_inst,[status(thm)],[])).
% 53.70/33.92 tff(7848,plain,
% 53.70/33.92 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB37) | (~v130(constB37, 0)) | v127(constB37, 0)),
% 53.70/33.92 inference(modus_ponens,[status(thm)],[7847, 7846])).
% 53.70/33.92 tff(7849,plain,
% 53.70/33.92 ((~v130(constB37, 0)) | v127(constB37, 0)),
% 53.70/33.92 inference(unit_resolution,[status(thm)],[7848, 1347, 7709])).
% 53.70/33.92 tff(7850,plain,
% 53.70/33.92 (v127(constB37, 0)),
% 53.70/33.92 inference(unit_resolution,[status(thm)],[7849, 7845])).
% 53.70/33.92 tff(7851,plain,
% 53.70/33.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB37, constB38)) | (~v127(constB37, 0)) | v129(constB38, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB37, constB38)) | (~v127(constB37, 0)) | v129(constB38, 0))),
% 53.70/33.92 inference(rewrite,[status(thm)],[])).
% 53.70/33.92 tff(7852,plain,
% 53.70/33.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB37, constB38)) | (~v127(constB37, 0)) | v129(constB38, 0))),
% 53.70/33.92 inference(quant_inst,[status(thm)],[])).
% 53.70/33.92 tff(7853,plain,
% 53.70/33.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB37, constB38)) | (~v127(constB37, 0)) | v129(constB38, 0)),
% 53.70/33.92 inference(modus_ponens,[status(thm)],[7852, 7851])).
% 53.70/33.92 tff(7854,plain,
% 53.70/33.92 ((~v127(constB37, 0)) | v129(constB38, 0)),
% 53.70/33.92 inference(unit_resolution,[status(thm)],[7853, 1362, 7727])).
% 53.70/33.92 tff(7855,plain,
% 53.70/33.92 (v129(constB38, 0)),
% 53.70/33.92 inference(unit_resolution,[status(thm)],[7854, 7850])).
% 53.70/33.92 tff(7856,plain,
% 53.70/33.92 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB38, 0) | (~v129(constB38, 0)) | (~v100(constB38)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB38, 0) | (~v129(constB38, 0)) | (~v100(constB38)))),
% 53.70/33.92 inference(rewrite,[status(thm)],[])).
% 53.70/33.92 tff(7857,plain,
% 53.70/33.92 ((v90(constB38, 0) | (~v100(constB38)) | (~v129(constB38, 0))) <=> (v90(constB38, 0) | (~v129(constB38, 0)) | (~v100(constB38)))),
% 53.70/33.92 inference(rewrite,[status(thm)],[])).
% 53.70/33.92 tff(7858,plain,
% 53.70/33.92 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB38, 0) | (~v100(constB38)) | (~v129(constB38, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB38, 0) | (~v129(constB38, 0)) | (~v100(constB38))))),
% 53.70/33.92 inference(monotonicity,[status(thm)],[7857])).
% 53.70/33.92 tff(7859,plain,
% 53.70/33.92 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB38, 0) | (~v100(constB38)) | (~v129(constB38, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB38, 0) | (~v129(constB38, 0)) | (~v100(constB38)))),
% 53.70/33.92 inference(transitivity,[status(thm)],[7858, 7856])).
% 53.70/33.92 tff(7860,plain,
% 53.70/33.92 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB38, 0) | (~v100(constB38)) | (~v129(constB38, 0)))),
% 53.70/33.92 inference(quant_inst,[status(thm)],[])).
% 53.70/33.92 tff(7861,plain,
% 53.70/33.92 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB38, 0) | (~v129(constB38, 0)) | (~v100(constB38))),
% 53.70/33.92 inference(modus_ponens,[status(thm)],[7860, 7859])).
% 53.70/33.92 tff(7862,plain,
% 53.70/33.92 (v90(constB38, 0) | (~v100(constB38))),
% 53.70/33.92 inference(unit_resolution,[status(thm)],[7861, 1377, 7855])).
% 53.70/33.92 tff(7863,plain,
% 53.70/33.92 (v90(constB38, 0)),
% 53.70/33.92 inference(unit_resolution,[status(thm)],[7862, 7761])).
% 53.70/33.92 tff(7864,plain,
% 53.70/33.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB38, 0)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB38, 0)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, 0))),
% 53.70/33.92 inference(rewrite,[status(thm)],[])).
% 53.70/33.92 tff(7865,plain,
% 53.70/33.92 (((~nextState(constB38, constB39)) | (~v90(constB38, 0)) | v100(constB39) | v90(constB39, 0)) <=> ((~v90(constB38, 0)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, 0))),
% 53.70/33.92 inference(rewrite,[status(thm)],[])).
% 53.70/33.92 tff(7866,plain,
% 53.70/33.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB38, constB39)) | (~v90(constB38, 0)) | v100(constB39) | v90(constB39, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB38, 0)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, 0)))),
% 53.70/33.92 inference(monotonicity,[status(thm)],[7865])).
% 53.70/33.92 tff(7867,plain,
% 53.70/33.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB38, constB39)) | (~v90(constB38, 0)) | v100(constB39) | v90(constB39, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB38, 0)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, 0))),
% 53.70/33.92 inference(transitivity,[status(thm)],[7866, 7864])).
% 53.70/33.92 tff(7868,plain,
% 53.70/33.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB38, constB39)) | (~v90(constB38, 0)) | v100(constB39) | v90(constB39, 0))),
% 53.70/33.92 inference(quant_inst,[status(thm)],[])).
% 53.70/33.92 tff(7869,plain,
% 53.70/33.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB38, 0)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, 0)),
% 53.70/33.92 inference(modus_ponens,[status(thm)],[7868, 7867])).
% 53.70/33.92 tff(7870,plain,
% 53.76/33.92 ((~v90(constB38, 0)) | v100(constB39) | v90(constB39, 0)),
% 53.76/33.92 inference(unit_resolution,[status(thm)],[7869, 1395, 7816])).
% 53.76/33.92 tff(7871,plain,
% 53.76/33.92 ((~v90(constB38, 0)) | v90(constB39, 0)),
% 53.76/33.92 inference(unit_resolution,[status(thm)],[7870, 7828])).
% 53.76/33.92 tff(7872,plain,
% 53.76/33.92 (v90(constB39, 0)),
% 53.76/33.92 inference(unit_resolution,[status(thm)],[7871, 7863])).
% 53.76/33.92 tff(7873,plain,
% 53.76/33.92 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v121(constB39)) | (~v90(constB39, 0)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | (~v121(constB39)) | (~v90(constB39, 0)))),
% 53.76/33.92 inference(rewrite,[status(thm)],[])).
% 53.76/33.92 tff(7874,plain,
% 53.76/33.92 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v121(constB39)) | (~v90(constB39, 0)))),
% 53.76/33.92 inference(quant_inst,[status(thm)],[])).
% 53.76/33.92 tff(7875,plain,
% 53.76/33.92 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | (~v121(constB39)) | (~v90(constB39, 0))),
% 53.76/33.92 inference(modus_ponens,[status(thm)],[7874, 7873])).
% 53.76/33.92 tff(7876,plain,
% 53.76/33.92 (~v121(constB39)),
% 53.76/33.92 inference(unit_resolution,[status(thm)],[7875, 5876, 7872])).
% 53.76/33.92 tff(7877,plain,
% 53.76/33.92 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, 2)))),
% 53.76/33.92 inference(rewrite,[status(thm)],[])).
% 53.76/33.92 tff(7878,plain,
% 53.76/33.92 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, 2)))),
% 53.76/33.92 inference(quant_inst,[status(thm)],[])).
% 53.76/33.92 tff(7879,plain,
% 53.76/33.92 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB37) | v120(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | v124(constB37) | (~v130(constB37, 2))),
% 53.76/33.92 inference(modus_ponens,[status(thm)],[7878, 7877])).
% 53.76/33.92 tff(7880,plain,
% 53.76/33.92 (~v130(constB37, 2)),
% 53.76/33.92 inference(unit_resolution,[status(thm)],[7879, 2904, 7785, 7781, 7777, 7773, 7769, 7765])).
% 53.76/33.92 tff(7881,plain,
% 53.76/33.92 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB37, 2)) | v26(constB37) | v130(constB37, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB37, 2)) | v26(constB37) | v130(constB37, 2))),
% 53.76/33.92 inference(rewrite,[status(thm)],[])).
% 53.76/33.92 tff(7882,plain,
% 53.76/33.92 ((v26(constB37) | v130(constB37, 2) | (~v127(constB37, 2))) <=> ((~v127(constB37, 2)) | v26(constB37) | v130(constB37, 2))),
% 53.76/33.92 inference(rewrite,[status(thm)],[])).
% 53.76/33.92 tff(7883,plain,
% 53.76/33.92 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB37) | v130(constB37, 2) | (~v127(constB37, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB37, 2)) | v26(constB37) | v130(constB37, 2)))),
% 53.76/33.92 inference(monotonicity,[status(thm)],[7882])).
% 53.76/33.92 tff(7884,plain,
% 53.76/33.92 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB37) | v130(constB37, 2) | (~v127(constB37, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB37, 2)) | v26(constB37) | v130(constB37, 2))),
% 53.76/33.92 inference(transitivity,[status(thm)],[7883, 7881])).
% 53.76/33.92 tff(7885,plain,
% 53.76/33.92 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB37) | v130(constB37, 2) | (~v127(constB37, 2)))),
% 53.76/33.92 inference(quant_inst,[status(thm)],[])).
% 53.76/33.92 tff(7886,plain,
% 53.76/33.92 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB37, 2)) | v26(constB37) | v130(constB37, 2)),
% 53.76/33.92 inference(modus_ponens,[status(thm)],[7885, 7884])).
% 53.76/33.92 tff(7887,plain,
% 53.76/33.92 ((~v127(constB37, 2)) | v130(constB37, 2)),
% 53.76/33.92 inference(unit_resolution,[status(thm)],[7886, 1190, 7709])).
% 53.76/33.92 tff(7888,plain,
% 53.76/33.92 (~v127(constB37, 2)),
% 53.76/33.92 inference(unit_resolution,[status(thm)],[7887, 7880])).
% 53.76/33.92 tff(7889,plain,
% 53.76/33.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB37, constB38)) | v127(constB37, 2) | (~v129(constB38, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB37, constB38)) | v127(constB37, 2) | (~v129(constB38, 2)))),
% 53.76/33.92 inference(rewrite,[status(thm)],[])).
% 53.76/33.92 tff(7890,plain,
% 53.76/33.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB37, constB38)) | v127(constB37, 2) | (~v129(constB38, 2)))),
% 53.76/33.92 inference(quant_inst,[status(thm)],[])).
% 53.76/33.92 tff(7891,plain,
% 53.76/33.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB37, constB38)) | v127(constB37, 2) | (~v129(constB38, 2))),
% 53.76/33.92 inference(modus_ponens,[status(thm)],[7890, 7889])).
% 53.76/33.92 tff(7892,plain,
% 53.76/33.92 (v127(constB37, 2) | (~v129(constB38, 2))),
% 53.76/33.92 inference(unit_resolution,[status(thm)],[7891, 1208, 7727])).
% 53.76/33.92 tff(7893,plain,
% 53.76/33.92 (~v129(constB38, 2)),
% 53.76/33.92 inference(unit_resolution,[status(thm)],[7892, 7888])).
% 53.76/33.92 tff(7894,plain,
% 53.76/33.92 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB38, 2)) | v129(constB38, 2) | (~v100(constB38)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB38, 2)) | v129(constB38, 2) | (~v100(constB38)))),
% 53.76/33.92 inference(rewrite,[status(thm)],[])).
% 53.76/33.92 tff(7895,plain,
% 53.76/33.92 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB38, 2)) | v129(constB38, 2) | (~v100(constB38)))),
% 53.76/33.92 inference(quant_inst,[status(thm)],[])).
% 53.76/33.92 tff(7896,plain,
% 53.76/33.92 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB38, 2)) | v129(constB38, 2) | (~v100(constB38))),
% 53.76/33.92 inference(modus_ponens,[status(thm)],[7895, 7894])).
% 53.76/33.92 tff(7897,plain,
% 53.76/33.92 ((~v90(constB38, 2)) | (~v100(constB38))),
% 53.76/33.92 inference(unit_resolution,[status(thm)],[7896, 1223, 7893])).
% 53.76/33.92 tff(7898,plain,
% 53.76/33.92 (~v90(constB38, 2)),
% 53.76/33.92 inference(unit_resolution,[status(thm)],[7897, 7761])).
% 53.76/33.92 tff(7899,plain,
% 53.76/33.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB38, 2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB38, 2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, 2)))),
% 53.76/33.92 inference(rewrite,[status(thm)],[])).
% 53.76/33.92 tff(7900,plain,
% 53.76/33.92 (((~nextState(constB38, constB39)) | v90(constB38, 2) | v100(constB39) | (~v90(constB39, 2))) <=> (v90(constB38, 2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, 2)))),
% 53.76/33.92 inference(rewrite,[status(thm)],[])).
% 53.76/33.92 tff(7901,plain,
% 53.76/33.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB38, constB39)) | v90(constB38, 2) | v100(constB39) | (~v90(constB39, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB38, 2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, 2))))),
% 53.76/33.92 inference(monotonicity,[status(thm)],[7900])).
% 53.76/33.92 tff(7902,plain,
% 53.76/33.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB38, constB39)) | v90(constB38, 2) | v100(constB39) | (~v90(constB39, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB38, 2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, 2)))),
% 53.76/33.92 inference(transitivity,[status(thm)],[7901, 7899])).
% 53.76/33.92 tff(7903,plain,
% 53.76/33.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB38, constB39)) | v90(constB38, 2) | v100(constB39) | (~v90(constB39, 2)))),
% 53.76/33.92 inference(quant_inst,[status(thm)],[])).
% 53.76/33.92 tff(7904,plain,
% 53.76/33.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB38, 2) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, 2))),
% 53.76/33.92 inference(modus_ponens,[status(thm)],[7903, 7902])).
% 53.76/33.92 tff(7905,plain,
% 53.76/33.92 (v90(constB38, 2) | v100(constB39) | (~v90(constB39, 2))),
% 53.76/33.92 inference(unit_resolution,[status(thm)],[7904, 905, 7816])).
% 53.76/33.92 tff(7906,plain,
% 53.76/33.92 (v90(constB38, 2) | (~v90(constB39, 2))),
% 53.76/33.92 inference(unit_resolution,[status(thm)],[7905, 7828])).
% 53.76/33.92 tff(7907,plain,
% 53.76/33.92 (~v90(constB39, 2)),
% 53.76/33.92 inference(unit_resolution,[status(thm)],[7906, 7898])).
% 53.76/33.92 tff(7908,plain,
% 53.76/33.92 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB39, 0)) | v90(constB39, 1) | v90(constB39, 2) | v120(constB39))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB39, 0)) | v90(constB39, 1) | v90(constB39, 2) | v120(constB39))),
% 53.76/33.92 inference(rewrite,[status(thm)],[])).
% 53.76/33.92 tff(7909,plain,
% 53.76/33.92 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB39, 0)) | v90(constB39, 1) | v90(constB39, 2) | v120(constB39))),
% 53.76/33.92 inference(quant_inst,[status(thm)],[])).
% 53.76/33.92 tff(7910,plain,
% 53.76/33.92 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB39, 0)) | v90(constB39, 1) | v90(constB39, 2) | v120(constB39)),
% 53.76/33.92 inference(modus_ponens,[status(thm)],[7909, 7908])).
% 53.76/33.92 tff(7911,plain,
% 53.76/33.92 (v120(constB39)),
% 53.76/33.92 inference(unit_resolution,[status(thm)],[7910, 1414, 7872, 7837, 7907])).
% 53.76/33.92 tff(7912,plain,
% 53.76/33.92 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB39)) | (~v130(constB39, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB39)) | (~v130(constB39, 0)))),
% 53.76/33.92 inference(rewrite,[status(thm)],[])).
% 53.76/33.92 tff(7913,plain,
% 53.76/33.92 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB39)) | (~v130(constB39, 0)))),
% 53.76/33.92 inference(quant_inst,[status(thm)],[])).
% 53.76/33.92 tff(7914,plain,
% 53.76/33.92 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB39)) | (~v130(constB39, 0))),
% 53.76/33.92 inference(modus_ponens,[status(thm)],[7913, 7912])).
% 53.76/33.92 tff(7915,plain,
% 53.76/33.92 (~v130(constB39, 0)),
% 53.76/33.92 inference(unit_resolution,[status(thm)],[7914, 1657, 7911])).
% 53.76/33.92 tff(7916,assumption,(~v114(constB39)), introduced(assumption)).
% 53.76/33.92 tff(7917,plain,
% 53.76/33.92 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB39) | (~v115(constB39)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB39) | (~v115(constB39)))),
% 53.76/33.92 inference(rewrite,[status(thm)],[])).
% 53.76/33.92 tff(7918,plain,
% 53.76/33.92 (((~v115(constB39)) | v114(constB39)) <=> (v114(constB39) | (~v115(constB39)))),
% 53.76/33.92 inference(rewrite,[status(thm)],[])).
% 53.76/33.92 tff(7919,plain,
% 53.76/33.92 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB39)) | v114(constB39))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB39) | (~v115(constB39))))),
% 53.76/33.92 inference(monotonicity,[status(thm)],[7918])).
% 53.76/33.92 tff(7920,plain,
% 53.76/33.92 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB39)) | v114(constB39))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB39) | (~v115(constB39)))),
% 53.76/33.92 inference(transitivity,[status(thm)],[7919, 7917])).
% 53.76/33.92 tff(7921,plain,
% 53.76/33.92 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB39)) | v114(constB39))),
% 53.76/33.92 inference(quant_inst,[status(thm)],[])).
% 53.76/33.92 tff(7922,plain,
% 53.76/33.92 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB39) | (~v115(constB39))),
% 53.76/33.92 inference(modus_ponens,[status(thm)],[7921, 7920])).
% 53.76/33.92 tff(7923,plain,
% 53.76/33.92 (~v115(constB39)),
% 53.76/33.92 inference(unit_resolution,[status(thm)],[7922, 1035, 7916])).
% 53.76/33.92 tff(7924,plain,
% 53.76/33.92 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB39) | (~v123(constB39)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB39) | (~v123(constB39)))),
% 53.76/33.92 inference(rewrite,[status(thm)],[])).
% 53.76/33.92 tff(7925,plain,
% 53.76/33.92 (((~v123(constB39)) | v115(constB39)) <=> (v115(constB39) | (~v123(constB39)))),
% 53.76/33.92 inference(rewrite,[status(thm)],[])).
% 53.76/33.92 tff(7926,plain,
% 53.76/33.92 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB39)) | v115(constB39))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB39) | (~v123(constB39))))),
% 53.76/33.92 inference(monotonicity,[status(thm)],[7925])).
% 53.76/33.92 tff(7927,plain,
% 53.76/33.92 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB39)) | v115(constB39))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB39) | (~v123(constB39)))),
% 53.76/33.92 inference(transitivity,[status(thm)],[7926, 7924])).
% 53.76/33.92 tff(7928,plain,
% 53.76/33.92 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB39)) | v115(constB39))),
% 53.76/33.92 inference(quant_inst,[status(thm)],[])).
% 53.76/33.92 tff(7929,plain,
% 53.76/33.92 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB39) | (~v123(constB39))),
% 53.76/33.92 inference(modus_ponens,[status(thm)],[7928, 7927])).
% 53.76/33.92 tff(7930,plain,
% 53.76/33.92 (~v123(constB39)),
% 53.76/33.92 inference(unit_resolution,[status(thm)],[7929, 2291, 7923])).
% 53.76/33.92 tff(7931,plain,
% 53.76/33.92 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB39) | (~v124(constB39)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB39) | (~v124(constB39)))),
% 53.76/33.92 inference(rewrite,[status(thm)],[])).
% 53.76/33.92 tff(7932,plain,
% 53.76/33.92 (((~v124(constB39)) | v114(constB39)) <=> (v114(constB39) | (~v124(constB39)))),
% 53.76/33.92 inference(rewrite,[status(thm)],[])).
% 53.76/33.92 tff(7933,plain,
% 53.76/33.92 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB39)) | v114(constB39))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB39) | (~v124(constB39))))),
% 53.76/33.92 inference(monotonicity,[status(thm)],[7932])).
% 53.76/33.92 tff(7934,plain,
% 53.76/33.92 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB39)) | v114(constB39))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB39) | (~v124(constB39)))),
% 53.76/33.92 inference(transitivity,[status(thm)],[7933, 7931])).
% 53.76/33.92 tff(7935,plain,
% 53.76/33.92 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB39)) | v114(constB39))),
% 53.76/33.92 inference(quant_inst,[status(thm)],[])).
% 53.76/33.92 tff(7936,plain,
% 53.76/33.92 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB39) | (~v124(constB39))),
% 53.76/33.92 inference(modus_ponens,[status(thm)],[7935, 7934])).
% 53.76/33.92 tff(7937,plain,
% 53.76/33.92 (~v124(constB39)),
% 53.76/33.92 inference(unit_resolution,[status(thm)],[7936, 2674, 7916])).
% 53.76/33.92 tff(7938,assumption,(~v130(constB39, 0)), introduced(assumption)).
% 53.76/33.92 tff(7939,plain,
% 53.76/33.92 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB39)) | v115(constB39))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB39)) | v115(constB39))),
% 53.76/33.92 inference(rewrite,[status(thm)],[])).
% 53.76/33.92 tff(7940,plain,
% 53.76/33.92 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB39)) | v115(constB39))),
% 53.76/33.92 inference(quant_inst,[status(thm)],[])).
% 53.76/33.92 tff(7941,plain,
% 53.76/33.92 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB39)) | v115(constB39)),
% 53.76/33.92 inference(modus_ponens,[status(thm)],[7940, 7939])).
% 53.76/33.92 tff(7942,plain,
% 53.76/33.92 (~v116(constB39)),
% 53.76/33.92 inference(unit_resolution,[status(thm)],[7941, 1021, 7923])).
% 53.76/33.92 tff(7943,plain,
% 53.76/33.92 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB39) | (~v117(constB39)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB39) | (~v117(constB39)))),
% 53.76/33.92 inference(rewrite,[status(thm)],[])).
% 53.76/33.92 tff(7944,plain,
% 53.76/33.92 (((~v117(constB39)) | v116(constB39)) <=> (v116(constB39) | (~v117(constB39)))),
% 53.76/33.92 inference(rewrite,[status(thm)],[])).
% 53.76/33.92 tff(7945,plain,
% 53.76/33.92 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB39)) | v116(constB39))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB39) | (~v117(constB39))))),
% 53.76/33.92 inference(monotonicity,[status(thm)],[7944])).
% 53.76/33.92 tff(7946,plain,
% 53.76/33.92 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB39)) | v116(constB39))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB39) | (~v117(constB39)))),
% 53.76/33.92 inference(transitivity,[status(thm)],[7945, 7943])).
% 53.76/33.92 tff(7947,plain,
% 53.76/33.92 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB39)) | v116(constB39))),
% 53.76/33.92 inference(quant_inst,[status(thm)],[])).
% 53.76/33.92 tff(7948,plain,
% 53.76/33.92 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB39) | (~v117(constB39))),
% 53.76/33.92 inference(modus_ponens,[status(thm)],[7947, 7946])).
% 53.76/33.92 tff(7949,plain,
% 53.76/33.92 (~v117(constB39)),
% 53.76/33.92 inference(unit_resolution,[status(thm)],[7948, 1007, 7942])).
% 53.76/33.92 tff(7950,plain,
% 53.76/33.92 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB39) | (~v118(constB39)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB39) | (~v118(constB39)))),
% 53.76/33.92 inference(rewrite,[status(thm)],[])).
% 53.76/33.92 tff(7951,plain,
% 53.76/33.92 (((~v118(constB39)) | v117(constB39)) <=> (v117(constB39) | (~v118(constB39)))),
% 53.76/33.92 inference(rewrite,[status(thm)],[])).
% 53.76/33.92 tff(7952,plain,
% 53.76/33.92 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB39)) | v117(constB39))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB39) | (~v118(constB39))))),
% 53.76/33.92 inference(monotonicity,[status(thm)],[7951])).
% 53.76/33.92 tff(7953,plain,
% 53.76/33.92 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB39)) | v117(constB39))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB39) | (~v118(constB39)))),
% 53.76/33.92 inference(transitivity,[status(thm)],[7952, 7950])).
% 53.76/33.92 tff(7954,plain,
% 53.76/33.92 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB39)) | v117(constB39))),
% 53.76/33.92 inference(quant_inst,[status(thm)],[])).
% 53.76/33.92 tff(7955,plain,
% 53.76/33.92 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB39) | (~v118(constB39))),
% 53.76/33.92 inference(modus_ponens,[status(thm)],[7954, 7953])).
% 53.76/33.92 tff(7956,plain,
% 53.76/33.92 (~v118(constB39)),
% 53.76/33.92 inference(unit_resolution,[status(thm)],[7955, 993, 7949])).
% 53.76/33.92 tff(7957,plain,
% 53.76/33.92 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB39) | (~v120(constB39)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB39) | (~v120(constB39)))),
% 53.76/33.92 inference(rewrite,[status(thm)],[])).
% 53.76/33.92 tff(7958,plain,
% 53.76/33.92 (((~v120(constB39)) | v118(constB39)) <=> (v118(constB39) | (~v120(constB39)))),
% 53.76/33.92 inference(rewrite,[status(thm)],[])).
% 53.76/33.92 tff(7959,plain,
% 53.76/33.92 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB39)) | v118(constB39))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB39) | (~v120(constB39))))),
% 53.76/33.92 inference(monotonicity,[status(thm)],[7958])).
% 53.76/33.92 tff(7960,plain,
% 53.76/33.92 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB39)) | v118(constB39))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB39) | (~v120(constB39)))),
% 53.76/33.92 inference(transitivity,[status(thm)],[7959, 7957])).
% 53.76/33.92 tff(7961,plain,
% 53.76/33.92 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB39)) | v118(constB39))),
% 53.76/33.92 inference(quant_inst,[status(thm)],[])).
% 53.76/33.92 tff(7962,plain,
% 53.76/33.92 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB39) | (~v120(constB39))),
% 53.76/33.92 inference(modus_ponens,[status(thm)],[7961, 7960])).
% 53.76/33.92 tff(7963,plain,
% 53.76/33.92 (~v120(constB39)),
% 53.76/33.92 inference(unit_resolution,[status(thm)],[7962, 1425, 7956])).
% 53.76/33.92 tff(7964,plain,
% 53.76/33.92 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB39) | (~v119(constB39)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB39) | (~v119(constB39)))),
% 53.76/33.92 inference(rewrite,[status(thm)],[])).
% 53.76/33.92 tff(7965,plain,
% 53.76/33.92 (((~v119(constB39)) | v118(constB39)) <=> (v118(constB39) | (~v119(constB39)))),
% 53.76/33.92 inference(rewrite,[status(thm)],[])).
% 53.76/33.92 tff(7966,plain,
% 53.76/33.92 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB39)) | v118(constB39))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB39) | (~v119(constB39))))),
% 53.76/33.92 inference(monotonicity,[status(thm)],[7965])).
% 53.76/33.92 tff(7967,plain,
% 53.76/33.92 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB39)) | v118(constB39))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB39) | (~v119(constB39)))),
% 53.76/33.92 inference(transitivity,[status(thm)],[7966, 7964])).
% 53.76/33.92 tff(7968,plain,
% 53.76/33.92 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB39)) | v118(constB39))),
% 53.76/33.92 inference(quant_inst,[status(thm)],[])).
% 53.76/33.92 tff(7969,plain,
% 53.76/33.92 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB39) | (~v119(constB39))),
% 53.76/33.92 inference(modus_ponens,[status(thm)],[7968, 7967])).
% 53.76/33.92 tff(7970,plain,
% 53.76/33.92 (~v119(constB39)),
% 53.76/33.92 inference(unit_resolution,[status(thm)],[7969, 982, 7956])).
% 53.76/33.92 tff(7971,assumption,(~v121(constB39)), introduced(assumption)).
% 53.76/33.92 tff(7972,assumption,(~v122(constB39)), introduced(assumption)).
% 53.76/33.92 tff(7973,plain,
% 53.76/33.92 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB39) | v120(constB39) | v121(constB39) | v122(constB39) | v123(constB39) | v124(constB39) | v130(constB39, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB39) | v120(constB39) | v121(constB39) | v122(constB39) | v123(constB39) | v124(constB39) | v130(constB39, 0))),
% 53.76/33.92 inference(rewrite,[status(thm)],[])).
% 53.76/33.92 tff(7974,plain,
% 53.76/33.92 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB39) | v120(constB39) | v121(constB39) | v122(constB39) | v123(constB39) | v124(constB39) | v130(constB39, 0))),
% 53.76/33.92 inference(quant_inst,[status(thm)],[])).
% 53.76/33.92 tff(7975,plain,
% 53.76/33.92 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB39) | v120(constB39) | v121(constB39) | v122(constB39) | v123(constB39) | v124(constB39) | v130(constB39, 0)),
% 53.76/33.92 inference(modus_ponens,[status(thm)],[7974, 7973])).
% 53.76/33.92 tff(7976,plain,
% 53.76/33.92 (v119(constB39) | v120(constB39) | v123(constB39) | v124(constB39) | v130(constB39, 0)),
% 53.76/33.92 inference(unit_resolution,[status(thm)],[7975, 3413, 7972, 7971])).
% 53.76/33.92 tff(7977,plain,
% 53.76/33.92 ($false),
% 53.76/33.92 inference(unit_resolution,[status(thm)],[7976, 7970, 7963, 7938, 7937, 7930])).
% 53.76/33.92 tff(7978,plain,(v114(constB39) | v130(constB39, 0) | v122(constB39) | v121(constB39)), inference(lemma,lemma(discharge,[]))).
% 53.76/33.92 tff(7979,plain,
% 53.76/33.92 (v114(constB39)),
% 53.76/33.92 inference(unit_resolution,[status(thm)],[7978, 7915, 7876, 7841])).
% 53.76/33.92 tff(7980,plain,
% 53.76/33.92 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB39) | (~v114(constB39)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB39) | (~v114(constB39)))),
% 53.76/33.92 inference(rewrite,[status(thm)],[])).
% 53.76/33.92 tff(7981,plain,
% 53.76/33.92 (((~v114(constB39)) | v113(constB39)) <=> (v113(constB39) | (~v114(constB39)))),
% 53.76/33.92 inference(rewrite,[status(thm)],[])).
% 53.76/33.92 tff(7982,plain,
% 53.76/33.92 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB39)) | v113(constB39))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB39) | (~v114(constB39))))),
% 53.76/33.92 inference(monotonicity,[status(thm)],[7981])).
% 53.76/33.92 tff(7983,plain,
% 53.76/33.92 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB39)) | v113(constB39))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB39) | (~v114(constB39)))),
% 53.76/33.92 inference(transitivity,[status(thm)],[7982, 7980])).
% 53.76/33.92 tff(7984,plain,
% 53.76/33.92 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB39)) | v113(constB39))),
% 53.76/33.92 inference(quant_inst,[status(thm)],[])).
% 53.76/33.92 tff(7985,plain,
% 53.76/33.92 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB39) | (~v114(constB39))),
% 53.76/33.92 inference(modus_ponens,[status(thm)],[7984, 7983])).
% 53.76/33.92 tff(7986,plain,
% 53.76/33.92 (v113(constB39)),
% 53.76/33.92 inference(unit_resolution,[status(thm)],[7985, 1049, 7979])).
% 53.76/33.92 tff(7987,assumption,(~v108(constB39)), introduced(assumption)).
% 53.76/33.92 tff(7988,plain,
% 53.76/33.92 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB39) | (~v112(constB39)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB39) | (~v112(constB39)))),
% 53.76/33.92 inference(rewrite,[status(thm)],[])).
% 53.76/33.92 tff(7989,plain,
% 53.76/33.92 (((~v112(constB39)) | v108(constB39)) <=> (v108(constB39) | (~v112(constB39)))),
% 53.76/33.92 inference(rewrite,[status(thm)],[])).
% 53.76/33.92 tff(7990,plain,
% 53.76/33.92 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB39)) | v108(constB39))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB39) | (~v112(constB39))))),
% 53.76/33.92 inference(monotonicity,[status(thm)],[7989])).
% 53.76/33.92 tff(7991,plain,
% 53.76/33.92 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB39)) | v108(constB39))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB39) | (~v112(constB39)))),
% 53.76/33.92 inference(transitivity,[status(thm)],[7990, 7988])).
% 53.76/33.92 tff(7992,plain,
% 53.76/33.92 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB39)) | v108(constB39))),
% 53.76/33.92 inference(quant_inst,[status(thm)],[])).
% 53.76/33.92 tff(7993,plain,
% 53.76/33.92 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB39) | (~v112(constB39))),
% 53.76/33.92 inference(modus_ponens,[status(thm)],[7992, 7991])).
% 53.76/33.92 tff(7994,plain,
% 53.76/33.92 (~v112(constB39)),
% 53.76/33.92 inference(unit_resolution,[status(thm)],[7993, 1075, 7987])).
% 53.76/33.92 tff(7995,plain,
% 53.76/33.92 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB39) | (~v26(constB39)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB39) | (~v26(constB39)))),
% 53.76/33.92 inference(rewrite,[status(thm)],[])).
% 53.76/33.92 tff(7996,plain,
% 53.76/33.92 (((~v26(constB39)) | v108(constB39)) <=> (v108(constB39) | (~v26(constB39)))),
% 53.76/33.92 inference(rewrite,[status(thm)],[])).
% 53.76/33.92 tff(7997,plain,
% 53.76/33.92 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB39)) | v108(constB39))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB39) | (~v26(constB39))))),
% 53.76/33.92 inference(monotonicity,[status(thm)],[7996])).
% 53.76/33.92 tff(7998,plain,
% 53.76/33.92 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB39)) | v108(constB39))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB39) | (~v26(constB39)))),
% 53.76/33.92 inference(transitivity,[status(thm)],[7997, 7995])).
% 53.76/33.92 tff(7999,plain,
% 53.76/33.92 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB39)) | v108(constB39))),
% 53.76/33.92 inference(quant_inst,[status(thm)],[])).
% 53.76/33.92 tff(8000,plain,
% 53.76/33.92 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB39) | (~v26(constB39))),
% 53.76/33.92 inference(modus_ponens,[status(thm)],[7999, 7998])).
% 53.76/33.92 tff(8001,plain,
% 53.76/33.92 (~v26(constB39)),
% 53.76/33.92 inference(unit_resolution,[status(thm)],[8000, 2050, 7987])).
% 53.76/33.92 tff(8002,assumption,(v113(constB39)), introduced(assumption)).
% 53.76/33.92 tff(8003,plain,
% 53.76/33.92 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB39) | (~v113(constB39)) | v112(constB39))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB39) | (~v113(constB39)) | v112(constB39))),
% 53.76/33.92 inference(rewrite,[status(thm)],[])).
% 53.76/33.92 tff(8004,plain,
% 53.76/33.92 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB39) | (~v113(constB39)) | v112(constB39))),
% 53.76/33.92 inference(quant_inst,[status(thm)],[])).
% 53.76/33.92 tff(8005,plain,
% 53.76/33.92 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB39) | (~v113(constB39)) | v112(constB39)),
% 53.76/33.92 inference(modus_ponens,[status(thm)],[8004, 8003])).
% 53.76/33.92 tff(8006,plain,
% 53.76/33.92 (v26(constB39) | v112(constB39)),
% 53.76/33.92 inference(unit_resolution,[status(thm)],[8005, 1063, 8002])).
% 53.76/33.92 tff(8007,plain,
% 53.76/33.92 ($false),
% 53.76/33.92 inference(unit_resolution,[status(thm)],[8006, 8001, 7994])).
% 53.76/33.92 tff(8008,plain,(v108(constB39) | (~v113(constB39))), inference(lemma,lemma(discharge,[]))).
% 53.76/33.92 tff(8009,plain,
% 53.76/33.92 (v108(constB39)),
% 53.76/33.92 inference(unit_resolution,[status(thm)],[8008, 7986])).
% 53.76/33.92 tff(8010,plain,
% 53.76/33.92 (nextState(constB39, constB40) <=> nextState(constB39, constB40)),
% 53.76/33.92 inference(rewrite,[status(thm)],[])).
% 53.76/33.92 tff(8011,axiom,(nextState(constB39, constB40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_39_1')).
% 53.76/33.92 tff(8012,plain,
% 53.76/33.92 (nextState(constB39, constB40)),
% 53.76/33.92 inference(modus_ponens,[status(thm)],[8011, 8010])).
% 53.76/33.92 tff(8013,plain,
% 53.76/33.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39)))),
% 53.76/33.92 inference(rewrite,[status(thm)],[])).
% 53.76/33.92 tff(8014,plain,
% 53.76/33.92 (((~nextState(constB39, constB40)) | (~v108(constB39)) | v110(constB40)) <=> ((~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39)))),
% 53.76/33.92 inference(rewrite,[status(thm)],[])).
% 53.76/33.92 tff(8015,plain,
% 53.76/33.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB39, constB40)) | (~v108(constB39)) | v110(constB40))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39))))),
% 53.76/33.92 inference(monotonicity,[status(thm)],[8014])).
% 53.76/33.92 tff(8016,plain,
% 53.76/33.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB39, constB40)) | (~v108(constB39)) | v110(constB40))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39)))),
% 53.76/33.92 inference(transitivity,[status(thm)],[8015, 8013])).
% 53.76/33.92 tff(8017,plain,
% 53.76/33.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB39, constB40)) | (~v108(constB39)) | v110(constB40))),
% 53.76/33.92 inference(quant_inst,[status(thm)],[])).
% 53.76/33.92 tff(8018,plain,
% 53.76/33.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB39, constB40)) | v110(constB40) | (~v108(constB39))),
% 53.76/33.92 inference(modus_ponens,[status(thm)],[8017, 8016])).
% 53.76/33.92 tff(8019,plain,
% 53.76/33.92 (v110(constB40) | (~v108(constB39))),
% 53.76/33.92 inference(unit_resolution,[status(thm)],[8018, 1095, 8012])).
% 53.76/33.92 tff(8020,plain,
% 53.76/33.92 (v110(constB40)),
% 53.76/33.92 inference(unit_resolution,[status(thm)],[8019, 8009])).
% 53.76/33.93 tff(8021,plain,
% 53.76/33.93 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB39) | (~nextState(constB39, constB40)) | (~v104(constB40)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB39) | (~nextState(constB39, constB40)) | (~v104(constB40)))),
% 53.76/33.93 inference(rewrite,[status(thm)],[])).
% 53.76/33.93 tff(8022,plain,
% 53.76/33.93 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB39) | (~nextState(constB39, constB40)) | (~v104(constB40)))),
% 53.76/33.93 inference(quant_inst,[status(thm)],[])).
% 53.76/33.93 tff(8023,plain,
% 53.76/33.93 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB39) | (~nextState(constB39, constB40)) | (~v104(constB40))),
% 53.76/33.93 inference(modus_ponens,[status(thm)],[8022, 8021])).
% 53.76/33.93 tff(8024,plain,
% 53.76/33.93 (~v104(constB40)),
% 53.76/33.93 inference(unit_resolution,[status(thm)],[8023, 1113, 8012, 7813])).
% 53.76/33.93 tff(8025,plain,
% 53.76/33.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB39, constB40)) | v102(constB40) | v104(constB40))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB39, constB40)) | v102(constB40) | v104(constB40))),
% 53.76/33.93 inference(rewrite,[status(thm)],[])).
% 53.76/33.93 tff(8026,plain,
% 53.76/33.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB39, constB40)) | v102(constB40) | v104(constB40))),
% 53.76/33.93 inference(quant_inst,[status(thm)],[])).
% 53.76/33.93 tff(8027,plain,
% 53.76/33.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB39, constB40)) | v102(constB40) | v104(constB40)),
% 53.76/33.93 inference(modus_ponens,[status(thm)],[8026, 8025])).
% 53.76/33.93 tff(8028,plain,
% 53.76/33.93 (v102(constB40) | v104(constB40)),
% 53.76/33.93 inference(unit_resolution,[status(thm)],[8027, 1127, 8012])).
% 53.76/33.93 tff(8029,plain,
% 53.76/33.93 (v102(constB40)),
% 53.76/33.93 inference(unit_resolution,[status(thm)],[8028, 8024])).
% 53.76/33.93 tff(8030,plain,
% 53.76/33.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB39, constB40)) | v101(constB40) | (~v102(constB40)) | (~v1(constB40)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB39, constB40)) | v101(constB40) | (~v102(constB40)) | (~v1(constB40)))),
% 53.76/33.93 inference(rewrite,[status(thm)],[])).
% 53.76/33.93 tff(8031,plain,
% 53.76/33.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB39, constB40)) | v101(constB40) | (~v102(constB40)) | (~v1(constB40)))),
% 53.76/33.93 inference(quant_inst,[status(thm)],[])).
% 53.76/33.93 tff(8032,plain,
% 53.76/33.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB39, constB40)) | v101(constB40) | (~v102(constB40)) | (~v1(constB40))),
% 53.76/33.93 inference(modus_ponens,[status(thm)],[8031, 8030])).
% 53.76/33.93 tff(8033,plain,
% 53.76/33.93 (v101(constB40) | (~v102(constB40))),
% 53.76/33.93 inference(unit_resolution,[status(thm)],[8032, 1145, 8012, 453])).
% 53.76/33.93 tff(8034,plain,
% 53.76/33.93 (v101(constB40)),
% 53.76/33.93 inference(unit_resolution,[status(thm)],[8033, 8029])).
% 53.76/33.93 tff(8035,plain,
% 53.76/33.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40)))),
% 53.76/33.93 inference(rewrite,[status(thm)],[])).
% 53.76/33.93 tff(8036,plain,
% 53.76/33.93 (((~nextState(constB39, constB40)) | (~v101(constB40)) | (~v110(constB40)) | v100(constB40)) <=> ((~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40)))),
% 53.76/33.93 inference(rewrite,[status(thm)],[])).
% 53.76/33.93 tff(8037,plain,
% 53.76/33.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB39, constB40)) | (~v101(constB40)) | (~v110(constB40)) | v100(constB40))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40))))),
% 53.76/33.93 inference(monotonicity,[status(thm)],[8036])).
% 53.76/33.93 tff(8038,plain,
% 53.76/33.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB39, constB40)) | (~v101(constB40)) | (~v110(constB40)) | v100(constB40))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40)))),
% 53.76/33.93 inference(transitivity,[status(thm)],[8037, 8035])).
% 53.76/33.93 tff(8039,plain,
% 53.76/33.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB39, constB40)) | (~v101(constB40)) | (~v110(constB40)) | v100(constB40))),
% 53.76/33.93 inference(quant_inst,[status(thm)],[])).
% 53.76/33.93 tff(8040,plain,
% 53.76/33.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB39, constB40)) | v100(constB40) | (~v101(constB40)) | (~v110(constB40))),
% 53.76/33.93 inference(modus_ponens,[status(thm)],[8039, 8038])).
% 53.76/33.93 tff(8041,plain,
% 53.76/33.93 (v100(constB40) | (~v101(constB40)) | (~v110(constB40))),
% 53.76/33.93 inference(unit_resolution,[status(thm)],[8040, 1160, 8012])).
% 53.76/33.93 tff(8042,plain,
% 53.76/33.93 (v100(constB40) | (~v110(constB40))),
% 53.76/33.93 inference(unit_resolution,[status(thm)],[8041, 8034])).
% 53.76/33.93 tff(8043,plain,
% 53.76/33.93 (v100(constB40)),
% 53.76/33.93 inference(unit_resolution,[status(thm)],[8042, 8020])).
% 53.76/33.93 tff(8044,plain,
% 53.76/33.93 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB39)) | (~v130(constB39, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB39)) | (~v130(constB39, 2)))),
% 53.76/33.93 inference(rewrite,[status(thm)],[])).
% 53.76/33.93 tff(8045,plain,
% 53.76/33.93 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB39)) | (~v130(constB39, 2)))),
% 53.76/33.93 inference(quant_inst,[status(thm)],[])).
% 53.76/33.93 tff(8046,plain,
% 53.76/33.93 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB39)) | (~v130(constB39, 2))),
% 53.76/33.93 inference(modus_ponens,[status(thm)],[8045, 8044])).
% 53.76/33.93 tff(8047,plain,
% 53.76/33.93 (~v130(constB39, 2)),
% 53.76/33.93 inference(unit_resolution,[status(thm)],[8046, 1523, 7911])).
% 53.76/33.93 tff(8048,assumption,(v26(constB39)), introduced(assumption)).
% 53.76/33.93 tff(8049,plain,
% 53.76/33.93 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB39))),
% 53.76/33.93 inference(quant_inst,[status(thm)],[])).
% 53.76/33.93 tff(8050,plain,
% 53.76/33.93 ($false),
% 53.76/33.93 inference(unit_resolution,[status(thm)],[8049, 828, 8048])).
% 53.76/33.93 tff(8051,plain,(~v26(constB39)), inference(lemma,lemma(discharge,[]))).
% 53.76/33.93 tff(8052,plain,
% 53.76/33.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB39, 2)) | v26(constB39) | v130(constB39, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB39, 2)) | v26(constB39) | v130(constB39, 2))),
% 53.76/33.93 inference(rewrite,[status(thm)],[])).
% 53.76/33.93 tff(8053,plain,
% 53.76/33.93 ((v26(constB39) | v130(constB39, 2) | (~v127(constB39, 2))) <=> ((~v127(constB39, 2)) | v26(constB39) | v130(constB39, 2))),
% 53.76/33.93 inference(rewrite,[status(thm)],[])).
% 53.76/33.93 tff(8054,plain,
% 53.76/33.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB39) | v130(constB39, 2) | (~v127(constB39, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB39, 2)) | v26(constB39) | v130(constB39, 2)))),
% 53.76/33.93 inference(monotonicity,[status(thm)],[8053])).
% 53.76/33.93 tff(8055,plain,
% 53.76/33.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB39) | v130(constB39, 2) | (~v127(constB39, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB39, 2)) | v26(constB39) | v130(constB39, 2))),
% 53.76/33.93 inference(transitivity,[status(thm)],[8054, 8052])).
% 53.76/33.93 tff(8056,plain,
% 53.76/33.93 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB39) | v130(constB39, 2) | (~v127(constB39, 2)))),
% 53.76/33.93 inference(quant_inst,[status(thm)],[])).
% 53.76/33.93 tff(8057,plain,
% 53.76/33.93 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB39, 2)) | v26(constB39) | v130(constB39, 2)),
% 53.76/33.93 inference(modus_ponens,[status(thm)],[8056, 8055])).
% 53.76/33.93 tff(8058,plain,
% 53.76/33.93 ((~v127(constB39, 2)) | v130(constB39, 2)),
% 53.76/33.93 inference(unit_resolution,[status(thm)],[8057, 1190, 8051])).
% 53.76/33.93 tff(8059,plain,
% 53.76/33.93 (~v127(constB39, 2)),
% 53.76/33.93 inference(unit_resolution,[status(thm)],[8058, 8047])).
% 53.76/33.93 tff(8060,plain,
% 53.76/33.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB39, constB40)) | v127(constB39, 2) | (~v129(constB40, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB39, constB40)) | v127(constB39, 2) | (~v129(constB40, 2)))),
% 53.76/33.93 inference(rewrite,[status(thm)],[])).
% 53.76/33.93 tff(8061,plain,
% 53.76/33.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB39, constB40)) | v127(constB39, 2) | (~v129(constB40, 2)))),
% 53.76/33.93 inference(quant_inst,[status(thm)],[])).
% 53.76/33.93 tff(8062,plain,
% 53.76/33.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB39, constB40)) | v127(constB39, 2) | (~v129(constB40, 2))),
% 53.76/33.93 inference(modus_ponens,[status(thm)],[8061, 8060])).
% 53.76/33.93 tff(8063,plain,
% 53.76/33.93 (v127(constB39, 2) | (~v129(constB40, 2))),
% 53.76/33.93 inference(unit_resolution,[status(thm)],[8062, 1208, 8012])).
% 53.76/33.93 tff(8064,plain,
% 53.76/33.93 (~v129(constB40, 2)),
% 53.76/33.93 inference(unit_resolution,[status(thm)],[8063, 8059])).
% 53.76/33.93 tff(8065,plain,
% 53.76/33.93 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB40, 2)) | v129(constB40, 2) | (~v100(constB40)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB40, 2)) | v129(constB40, 2) | (~v100(constB40)))),
% 53.76/33.93 inference(rewrite,[status(thm)],[])).
% 53.76/33.93 tff(8066,plain,
% 53.76/33.93 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB40, 2)) | v129(constB40, 2) | (~v100(constB40)))),
% 53.76/33.93 inference(quant_inst,[status(thm)],[])).
% 53.76/33.93 tff(8067,plain,
% 53.76/33.93 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB40, 2)) | v129(constB40, 2) | (~v100(constB40))),
% 53.76/33.93 inference(modus_ponens,[status(thm)],[8066, 8065])).
% 53.76/33.93 tff(8068,plain,
% 53.76/33.93 ((~v90(constB40, 2)) | (~v100(constB40))),
% 53.76/33.93 inference(unit_resolution,[status(thm)],[8067, 1223, 8064])).
% 53.76/33.93 tff(8069,plain,
% 53.76/33.93 (~v90(constB40, 2)),
% 53.76/33.93 inference(unit_resolution,[status(thm)],[8068, 8043])).
% 53.76/33.93 tff(8070,plain,
% 53.76/33.93 ((~v1(constB41)) <=> (~v1(constB41))),
% 53.76/33.93 inference(rewrite,[status(thm)],[])).
% 53.76/33.93 tff(8071,axiom,(~v1(constB41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_41_1_1')).
% 53.76/33.93 tff(8072,plain,
% 53.76/33.93 (~v1(constB41)),
% 53.76/33.93 inference(modus_ponens,[status(thm)],[8071, 8070])).
% 53.76/33.93 tff(8073,plain,
% 53.76/33.93 (nextState(constB40, constB41) <=> nextState(constB40, constB41)),
% 53.76/33.93 inference(rewrite,[status(thm)],[])).
% 53.76/33.93 tff(8074,axiom,(nextState(constB40, constB41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_40_1')).
% 53.76/33.93 tff(8075,plain,
% 53.76/33.93 (nextState(constB40, constB41)),
% 53.76/33.93 inference(modus_ponens,[status(thm)],[8074, 8073])).
% 53.76/33.93 tff(8076,plain,
% 53.76/33.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41)))),
% 53.76/33.93 inference(rewrite,[status(thm)],[])).
% 53.76/33.93 tff(8077,plain,
% 53.76/33.93 (((~nextState(constB40, constB41)) | (~v101(constB41)) | v1(constB41)) <=> (v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41)))),
% 53.76/33.93 inference(rewrite,[status(thm)],[])).
% 53.76/33.93 tff(8078,plain,
% 53.76/33.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB40, constB41)) | (~v101(constB41)) | v1(constB41))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41))))),
% 53.76/33.93 inference(monotonicity,[status(thm)],[8077])).
% 53.76/33.93 tff(8079,plain,
% 53.76/33.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB40, constB41)) | (~v101(constB41)) | v1(constB41))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41)))),
% 53.76/33.93 inference(transitivity,[status(thm)],[8078, 8076])).
% 53.76/33.93 tff(8080,plain,
% 53.76/33.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB40, constB41)) | (~v101(constB41)) | v1(constB41))),
% 53.76/33.93 inference(quant_inst,[status(thm)],[])).
% 53.76/33.93 tff(8081,plain,
% 53.76/33.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB41) | (~nextState(constB40, constB41)) | (~v101(constB41))),
% 53.76/33.93 inference(modus_ponens,[status(thm)],[8080, 8079])).
% 53.76/33.93 tff(8082,plain,
% 53.76/33.93 (~v101(constB41)),
% 53.76/33.93 inference(unit_resolution,[status(thm)],[8081, 873, 8075, 8072])).
% 53.76/33.93 tff(8083,plain,
% 53.76/33.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB40, constB41)) | v101(constB41) | (~v100(constB41)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB40, constB41)) | v101(constB41) | (~v100(constB41)))),
% 53.76/33.93 inference(rewrite,[status(thm)],[])).
% 53.76/33.93 tff(8084,plain,
% 53.76/33.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB40, constB41)) | v101(constB41) | (~v100(constB41)))),
% 53.76/33.93 inference(quant_inst,[status(thm)],[])).
% 53.76/33.93 tff(8085,plain,
% 53.76/33.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB40, constB41)) | v101(constB41) | (~v100(constB41))),
% 53.76/33.93 inference(modus_ponens,[status(thm)],[8084, 8083])).
% 53.76/33.93 tff(8086,plain,
% 53.76/33.93 (v101(constB41) | (~v100(constB41))),
% 53.76/33.93 inference(unit_resolution,[status(thm)],[8085, 890, 8075])).
% 53.76/33.93 tff(8087,plain,
% 53.76/33.93 (~v100(constB41)),
% 53.76/33.93 inference(unit_resolution,[status(thm)],[8086, 8082])).
% 53.76/33.93 tff(8088,plain,
% 53.76/33.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB40, 2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB40, 2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, 2)))),
% 53.76/33.93 inference(rewrite,[status(thm)],[])).
% 53.76/33.93 tff(8089,plain,
% 53.76/33.93 (((~nextState(constB40, constB41)) | v90(constB40, 2) | v100(constB41) | (~v90(constB41, 2))) <=> (v90(constB40, 2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, 2)))),
% 53.76/33.93 inference(rewrite,[status(thm)],[])).
% 53.76/33.93 tff(8090,plain,
% 53.76/33.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB40, constB41)) | v90(constB40, 2) | v100(constB41) | (~v90(constB41, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB40, 2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, 2))))),
% 53.76/33.93 inference(monotonicity,[status(thm)],[8089])).
% 53.76/33.93 tff(8091,plain,
% 53.76/33.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB40, constB41)) | v90(constB40, 2) | v100(constB41) | (~v90(constB41, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB40, 2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, 2)))),
% 53.76/33.93 inference(transitivity,[status(thm)],[8090, 8088])).
% 53.76/33.93 tff(8092,plain,
% 53.76/33.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB40, constB41)) | v90(constB40, 2) | v100(constB41) | (~v90(constB41, 2)))),
% 53.76/33.93 inference(quant_inst,[status(thm)],[])).
% 53.76/33.93 tff(8093,plain,
% 53.76/33.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB40, 2) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, 2))),
% 53.76/33.93 inference(modus_ponens,[status(thm)],[8092, 8091])).
% 53.76/33.93 tff(8094,plain,
% 53.76/33.93 (v90(constB40, 2) | v100(constB41) | (~v90(constB41, 2))),
% 53.76/33.93 inference(unit_resolution,[status(thm)],[8093, 905, 8075])).
% 53.76/33.93 tff(8095,plain,
% 53.76/33.93 (v90(constB40, 2) | (~v90(constB41, 2))),
% 53.76/33.93 inference(unit_resolution,[status(thm)],[8094, 8087])).
% 53.76/33.93 tff(8096,plain,
% 53.76/33.93 (~v90(constB41, 2)),
% 53.76/33.93 inference(unit_resolution,[status(thm)],[8095, 8069])).
% 53.76/33.93 tff(8097,plain,
% 53.76/33.93 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB39)) | v130(constB39, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB39)) | v130(constB39, 1))),
% 53.76/33.93 inference(rewrite,[status(thm)],[])).
% 53.76/33.93 tff(8098,plain,
% 53.76/33.93 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB39)) | v130(constB39, 1))),
% 53.76/33.93 inference(quant_inst,[status(thm)],[])).
% 53.76/33.93 tff(8099,plain,
% 53.76/33.93 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB39)) | v130(constB39, 1)),
% 53.76/33.93 inference(modus_ponens,[status(thm)],[8098, 8097])).
% 53.76/33.93 tff(8100,plain,
% 53.76/33.93 (v130(constB39, 1)),
% 53.76/33.93 inference(unit_resolution,[status(thm)],[8099, 1579, 7911])).
% 53.76/33.93 tff(8101,plain,
% 53.76/33.93 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB39) | (~v130(constB39, 1)) | v127(constB39, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB39) | (~v130(constB39, 1)) | v127(constB39, 1))),
% 53.76/33.93 inference(rewrite,[status(thm)],[])).
% 53.76/33.93 tff(8102,plain,
% 53.76/33.93 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB39) | (~v130(constB39, 1)) | v127(constB39, 1))),
% 53.76/33.93 inference(quant_inst,[status(thm)],[])).
% 53.76/33.93 tff(8103,plain,
% 53.76/33.93 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB39) | (~v130(constB39, 1)) | v127(constB39, 1)),
% 53.76/33.93 inference(modus_ponens,[status(thm)],[8102, 8101])).
% 53.76/33.93 tff(8104,plain,
% 53.76/33.93 ((~v130(constB39, 1)) | v127(constB39, 1)),
% 53.76/33.93 inference(unit_resolution,[status(thm)],[8103, 1593, 8051])).
% 53.76/33.93 tff(8105,plain,
% 53.76/33.93 (v127(constB39, 1)),
% 53.76/33.93 inference(unit_resolution,[status(thm)],[8104, 8100])).
% 53.76/33.93 tff(8106,plain,
% 53.76/33.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB39, constB40)) | (~v127(constB39, 1)) | v129(constB40, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB39, constB40)) | (~v127(constB39, 1)) | v129(constB40, 1))),
% 53.76/33.93 inference(rewrite,[status(thm)],[])).
% 53.76/33.93 tff(8107,plain,
% 53.76/33.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB39, constB40)) | (~v127(constB39, 1)) | v129(constB40, 1))),
% 53.76/33.93 inference(quant_inst,[status(thm)],[])).
% 53.76/33.93 tff(8108,plain,
% 53.76/33.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB39, constB40)) | (~v127(constB39, 1)) | v129(constB40, 1)),
% 53.76/33.93 inference(modus_ponens,[status(thm)],[8107, 8106])).
% 53.76/33.93 tff(8109,plain,
% 53.76/33.93 ((~v127(constB39, 1)) | v129(constB40, 1)),
% 53.76/33.93 inference(unit_resolution,[status(thm)],[8108, 1608, 8012])).
% 53.76/33.93 tff(8110,plain,
% 53.76/33.93 (v129(constB40, 1)),
% 53.76/33.93 inference(unit_resolution,[status(thm)],[8109, 8105])).
% 53.76/33.93 tff(8111,plain,
% 53.76/33.93 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB40, 1) | (~v129(constB40, 1)) | (~v100(constB40)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB40, 1) | (~v129(constB40, 1)) | (~v100(constB40)))),
% 53.76/33.93 inference(rewrite,[status(thm)],[])).
% 53.76/33.93 tff(8112,plain,
% 53.76/33.93 ((v90(constB40, 1) | (~v100(constB40)) | (~v129(constB40, 1))) <=> (v90(constB40, 1) | (~v129(constB40, 1)) | (~v100(constB40)))),
% 53.76/33.93 inference(rewrite,[status(thm)],[])).
% 53.76/33.93 tff(8113,plain,
% 53.76/33.93 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB40, 1) | (~v100(constB40)) | (~v129(constB40, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB40, 1) | (~v129(constB40, 1)) | (~v100(constB40))))),
% 53.76/33.93 inference(monotonicity,[status(thm)],[8112])).
% 53.76/33.93 tff(8114,plain,
% 53.76/33.93 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB40, 1) | (~v100(constB40)) | (~v129(constB40, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB40, 1) | (~v129(constB40, 1)) | (~v100(constB40)))),
% 53.76/33.93 inference(transitivity,[status(thm)],[8113, 8111])).
% 53.76/33.93 tff(8115,plain,
% 53.76/33.93 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB40, 1) | (~v100(constB40)) | (~v129(constB40, 1)))),
% 53.76/33.93 inference(quant_inst,[status(thm)],[])).
% 53.76/33.93 tff(8116,plain,
% 53.76/33.93 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB40, 1) | (~v129(constB40, 1)) | (~v100(constB40))),
% 53.76/33.93 inference(modus_ponens,[status(thm)],[8115, 8114])).
% 53.76/33.93 tff(8117,plain,
% 53.76/33.93 (v90(constB40, 1) | (~v100(constB40))),
% 53.76/33.93 inference(unit_resolution,[status(thm)],[8116, 1623, 8110])).
% 53.76/33.93 tff(8118,plain,
% 53.76/33.93 (v90(constB40, 1)),
% 53.76/33.93 inference(unit_resolution,[status(thm)],[8117, 8043])).
% 53.76/33.93 tff(8119,plain,
% 53.76/33.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB40, 1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB40, 1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, 1))),
% 53.76/33.93 inference(rewrite,[status(thm)],[])).
% 53.76/33.93 tff(8120,plain,
% 53.76/33.93 (((~nextState(constB40, constB41)) | (~v90(constB40, 1)) | v100(constB41) | v90(constB41, 1)) <=> ((~v90(constB40, 1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, 1))),
% 53.76/33.93 inference(rewrite,[status(thm)],[])).
% 53.76/33.93 tff(8121,plain,
% 53.76/33.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB40, constB41)) | (~v90(constB40, 1)) | v100(constB41) | v90(constB41, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB40, 1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, 1)))),
% 53.76/33.93 inference(monotonicity,[status(thm)],[8120])).
% 53.76/33.93 tff(8122,plain,
% 53.76/33.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB40, constB41)) | (~v90(constB40, 1)) | v100(constB41) | v90(constB41, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB40, 1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, 1))),
% 53.76/33.93 inference(transitivity,[status(thm)],[8121, 8119])).
% 53.76/33.93 tff(8123,plain,
% 53.76/33.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB40, constB41)) | (~v90(constB40, 1)) | v100(constB41) | v90(constB41, 1))),
% 53.76/33.93 inference(quant_inst,[status(thm)],[])).
% 53.76/33.93 tff(8124,plain,
% 53.76/33.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB40, 1)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, 1)),
% 53.76/33.93 inference(modus_ponens,[status(thm)],[8123, 8122])).
% 53.76/33.93 tff(8125,plain,
% 53.76/33.93 ((~v90(constB40, 1)) | v100(constB41) | v90(constB41, 1)),
% 53.76/33.93 inference(unit_resolution,[status(thm)],[8124, 1641, 8075])).
% 53.76/33.93 tff(8126,plain,
% 53.76/33.93 ((~v90(constB40, 1)) | v90(constB41, 1)),
% 53.76/33.93 inference(unit_resolution,[status(thm)],[8125, 8087])).
% 53.76/33.93 tff(8127,plain,
% 53.76/33.93 (v90(constB41, 1)),
% 53.76/33.93 inference(unit_resolution,[status(thm)],[8126, 8118])).
% 53.76/33.93 tff(8128,plain,
% 53.76/33.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB39, 0)) | v26(constB39) | v130(constB39, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB39, 0)) | v26(constB39) | v130(constB39, 0))),
% 53.76/33.93 inference(rewrite,[status(thm)],[])).
% 53.76/33.93 tff(8129,plain,
% 53.76/33.93 ((v26(constB39) | v130(constB39, 0) | (~v127(constB39, 0))) <=> ((~v127(constB39, 0)) | v26(constB39) | v130(constB39, 0))),
% 53.76/33.93 inference(rewrite,[status(thm)],[])).
% 53.76/33.93 tff(8130,plain,
% 53.76/33.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB39) | v130(constB39, 0) | (~v127(constB39, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB39, 0)) | v26(constB39) | v130(constB39, 0)))),
% 53.76/33.93 inference(monotonicity,[status(thm)],[8129])).
% 53.76/33.93 tff(8131,plain,
% 53.76/33.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB39) | v130(constB39, 0) | (~v127(constB39, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB39, 0)) | v26(constB39) | v130(constB39, 0))),
% 53.76/33.93 inference(transitivity,[status(thm)],[8130, 8128])).
% 53.76/33.93 tff(8132,plain,
% 53.76/33.93 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB39) | v130(constB39, 0) | (~v127(constB39, 0)))),
% 53.76/33.93 inference(quant_inst,[status(thm)],[])).
% 53.76/33.93 tff(8133,plain,
% 53.76/33.93 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB39, 0)) | v26(constB39) | v130(constB39, 0)),
% 53.76/33.93 inference(modus_ponens,[status(thm)],[8132, 8131])).
% 53.76/33.93 tff(8134,plain,
% 53.76/33.93 ((~v127(constB39, 0)) | v130(constB39, 0)),
% 53.76/33.93 inference(unit_resolution,[status(thm)],[8133, 1671, 8051])).
% 53.76/33.93 tff(8135,plain,
% 53.76/33.93 (~v127(constB39, 0)),
% 53.76/33.93 inference(unit_resolution,[status(thm)],[8134, 7915])).
% 53.76/33.93 tff(8136,plain,
% 53.76/33.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB39, constB40)) | v127(constB39, 0) | (~v129(constB40, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB39, constB40)) | v127(constB39, 0) | (~v129(constB40, 0)))),
% 53.76/33.93 inference(rewrite,[status(thm)],[])).
% 53.76/33.93 tff(8137,plain,
% 53.76/33.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB39, constB40)) | v127(constB39, 0) | (~v129(constB40, 0)))),
% 53.76/33.93 inference(quant_inst,[status(thm)],[])).
% 53.76/33.93 tff(8138,plain,
% 53.76/33.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB39, constB40)) | v127(constB39, 0) | (~v129(constB40, 0))),
% 53.76/33.93 inference(modus_ponens,[status(thm)],[8137, 8136])).
% 53.76/33.93 tff(8139,plain,
% 53.76/33.93 (v127(constB39, 0) | (~v129(constB40, 0))),
% 53.76/33.93 inference(unit_resolution,[status(thm)],[8138, 1689, 8012])).
% 53.76/33.93 tff(8140,plain,
% 53.76/33.93 (~v129(constB40, 0)),
% 53.76/33.93 inference(unit_resolution,[status(thm)],[8139, 8135])).
% 53.76/33.93 tff(8141,plain,
% 53.76/33.93 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB40, 0)) | v129(constB40, 0) | (~v100(constB40)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB40, 0)) | v129(constB40, 0) | (~v100(constB40)))),
% 53.76/33.93 inference(rewrite,[status(thm)],[])).
% 53.76/33.93 tff(8142,plain,
% 53.76/33.93 (((~v90(constB40, 0)) | (~v100(constB40)) | v129(constB40, 0)) <=> ((~v90(constB40, 0)) | v129(constB40, 0) | (~v100(constB40)))),
% 53.76/33.93 inference(rewrite,[status(thm)],[])).
% 53.76/33.93 tff(8143,plain,
% 53.76/33.93 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB40, 0)) | (~v100(constB40)) | v129(constB40, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB40, 0)) | v129(constB40, 0) | (~v100(constB40))))),
% 53.76/33.93 inference(monotonicity,[status(thm)],[8142])).
% 53.76/33.93 tff(8144,plain,
% 53.76/33.93 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB40, 0)) | (~v100(constB40)) | v129(constB40, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB40, 0)) | v129(constB40, 0) | (~v100(constB40)))),
% 53.76/33.93 inference(transitivity,[status(thm)],[8143, 8141])).
% 53.76/33.93 tff(8145,plain,
% 53.76/33.93 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB40, 0)) | (~v100(constB40)) | v129(constB40, 0))),
% 53.76/33.93 inference(quant_inst,[status(thm)],[])).
% 53.76/33.93 tff(8146,plain,
% 53.76/33.93 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB40, 0)) | v129(constB40, 0) | (~v100(constB40))),
% 53.76/33.93 inference(modus_ponens,[status(thm)],[8145, 8144])).
% 53.76/33.93 tff(8147,plain,
% 53.76/33.93 ((~v90(constB40, 0)) | (~v100(constB40))),
% 53.76/33.93 inference(unit_resolution,[status(thm)],[8146, 1704, 8140])).
% 53.76/33.93 tff(8148,plain,
% 53.76/33.93 (~v90(constB40, 0)),
% 53.76/33.93 inference(unit_resolution,[status(thm)],[8147, 8043])).
% 53.76/33.93 tff(8149,plain,
% 53.76/33.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB40, 0) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB40, 0) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, 0)))),
% 53.76/33.93 inference(rewrite,[status(thm)],[])).
% 53.76/33.93 tff(8150,plain,
% 53.76/33.93 (((~nextState(constB40, constB41)) | v90(constB40, 0) | v100(constB41) | (~v90(constB41, 0))) <=> (v90(constB40, 0) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, 0)))),
% 53.76/33.93 inference(rewrite,[status(thm)],[])).
% 53.76/33.93 tff(8151,plain,
% 53.76/33.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB40, constB41)) | v90(constB40, 0) | v100(constB41) | (~v90(constB41, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB40, 0) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, 0))))),
% 53.76/33.93 inference(monotonicity,[status(thm)],[8150])).
% 53.76/33.93 tff(8152,plain,
% 53.76/33.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB40, constB41)) | v90(constB40, 0) | v100(constB41) | (~v90(constB41, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB40, 0) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, 0)))),
% 53.76/33.93 inference(transitivity,[status(thm)],[8151, 8149])).
% 53.76/33.93 tff(8153,plain,
% 53.76/33.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB40, constB41)) | v90(constB40, 0) | v100(constB41) | (~v90(constB41, 0)))),
% 53.76/33.93 inference(quant_inst,[status(thm)],[])).
% 53.76/33.93 tff(8154,plain,
% 53.76/33.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB40, 0) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, 0))),
% 53.76/33.93 inference(modus_ponens,[status(thm)],[8153, 8152])).
% 53.76/33.93 tff(8155,plain,
% 53.76/33.93 (v90(constB40, 0) | v100(constB41) | (~v90(constB41, 0))),
% 53.76/33.93 inference(unit_resolution,[status(thm)],[8154, 947, 8075])).
% 53.76/33.93 tff(8156,plain,
% 53.76/33.93 (v90(constB40, 0) | (~v90(constB41, 0))),
% 53.76/33.93 inference(unit_resolution,[status(thm)],[8155, 8087])).
% 53.76/33.93 tff(8157,plain,
% 53.76/33.93 (~v90(constB41, 0)),
% 53.76/33.93 inference(unit_resolution,[status(thm)],[8156, 8148])).
% 53.76/33.93 tff(8158,plain,
% 53.76/33.93 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB41, 0) | (~v90(constB41, 1)) | v90(constB41, 2) | v121(constB41))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB41, 0) | (~v90(constB41, 1)) | v90(constB41, 2) | v121(constB41))),
% 53.76/33.93 inference(rewrite,[status(thm)],[])).
% 53.76/33.93 tff(8159,plain,
% 53.76/33.93 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB41, 0) | (~v90(constB41, 1)) | v90(constB41, 2) | v121(constB41))),
% 53.76/33.93 inference(quant_inst,[status(thm)],[])).
% 53.76/33.93 tff(8160,plain,
% 53.76/33.93 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB41, 0) | (~v90(constB41, 1)) | v90(constB41, 2) | v121(constB41)),
% 53.76/33.93 inference(modus_ponens,[status(thm)],[8159, 8158])).
% 53.76/33.93 tff(8161,plain,
% 53.76/33.93 (v121(constB41)),
% 53.76/33.93 inference(unit_resolution,[status(thm)],[8160, 1731, 8157, 8127, 8096])).
% 53.76/33.93 tff(8162,plain,
% 53.76/33.93 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB41)) | v117(constB41))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB41)) | v117(constB41))),
% 53.76/33.93 inference(rewrite,[status(thm)],[])).
% 53.76/33.93 tff(8163,plain,
% 53.76/33.93 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB41)) | v117(constB41))),
% 53.76/33.93 inference(quant_inst,[status(thm)],[])).
% 53.76/33.93 tff(8164,plain,
% 53.76/33.93 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB41)) | v117(constB41)),
% 53.76/33.93 inference(modus_ponens,[status(thm)],[8163, 8162])).
% 53.76/33.93 tff(8165,plain,
% 53.76/33.93 (v117(constB41)),
% 53.76/33.93 inference(unit_resolution,[status(thm)],[8164, 1742, 8161])).
% 53.76/33.93 tff(8166,plain,
% 53.76/33.93 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB41) | (~v117(constB41)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB41) | (~v117(constB41)))),
% 53.76/33.93 inference(rewrite,[status(thm)],[])).
% 53.76/33.93 tff(8167,plain,
% 53.76/33.93 (((~v117(constB41)) | v116(constB41)) <=> (v116(constB41) | (~v117(constB41)))),
% 53.76/33.93 inference(rewrite,[status(thm)],[])).
% 53.76/33.93 tff(8168,plain,
% 53.76/33.93 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB41)) | v116(constB41))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB41) | (~v117(constB41))))),
% 53.76/33.93 inference(monotonicity,[status(thm)],[8167])).
% 53.76/33.93 tff(8169,plain,
% 53.76/33.93 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB41)) | v116(constB41))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB41) | (~v117(constB41)))),
% 53.76/33.93 inference(transitivity,[status(thm)],[8168, 8166])).
% 53.76/33.93 tff(8170,plain,
% 53.76/33.93 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB41)) | v116(constB41))),
% 53.76/33.93 inference(quant_inst,[status(thm)],[])).
% 53.76/33.93 tff(8171,plain,
% 53.76/33.93 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB41) | (~v117(constB41))),
% 53.76/33.93 inference(modus_ponens,[status(thm)],[8170, 8169])).
% 53.76/33.93 tff(8172,plain,
% 53.76/33.93 (v116(constB41)),
% 53.76/33.93 inference(unit_resolution,[status(thm)],[8171, 1007, 8165])).
% 53.76/33.93 tff(8173,plain,
% 53.76/33.93 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB41) | (~v116(constB41)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB41) | (~v116(constB41)))),
% 53.76/33.93 inference(rewrite,[status(thm)],[])).
% 53.76/33.93 tff(8174,plain,
% 53.76/33.93 (((~v116(constB41)) | v115(constB41)) <=> (v115(constB41) | (~v116(constB41)))),
% 53.76/33.93 inference(rewrite,[status(thm)],[])).
% 53.76/33.93 tff(8175,plain,
% 53.76/33.93 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB41)) | v115(constB41))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB41) | (~v116(constB41))))),
% 53.76/33.93 inference(monotonicity,[status(thm)],[8174])).
% 53.76/33.93 tff(8176,plain,
% 53.76/33.93 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB41)) | v115(constB41))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB41) | (~v116(constB41)))),
% 53.76/33.93 inference(transitivity,[status(thm)],[8175, 8173])).
% 53.76/33.93 tff(8177,plain,
% 53.76/33.93 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB41)) | v115(constB41))),
% 53.76/33.93 inference(quant_inst,[status(thm)],[])).
% 53.76/33.93 tff(8178,plain,
% 53.76/33.93 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB41) | (~v116(constB41))),
% 53.76/33.93 inference(modus_ponens,[status(thm)],[8177, 8176])).
% 53.76/33.93 tff(8179,plain,
% 53.76/33.93 (v115(constB41)),
% 53.76/33.93 inference(unit_resolution,[status(thm)],[8178, 1021, 8172])).
% 53.76/33.93 tff(8180,plain,
% 53.76/33.93 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB41)) | v114(constB41))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB41)) | v114(constB41))),
% 53.76/33.93 inference(rewrite,[status(thm)],[])).
% 53.76/33.93 tff(8181,plain,
% 53.76/33.93 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB41)) | v114(constB41))),
% 53.76/33.93 inference(quant_inst,[status(thm)],[])).
% 53.76/33.93 tff(8182,plain,
% 53.76/33.93 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB41)) | v114(constB41)),
% 53.76/33.93 inference(modus_ponens,[status(thm)],[8181, 8180])).
% 53.76/33.93 tff(8183,plain,
% 53.76/33.93 (v114(constB41)),
% 53.76/33.93 inference(unit_resolution,[status(thm)],[8182, 1035, 8179])).
% 53.76/33.93 tff(8184,plain,
% 53.76/33.93 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB41)) | v113(constB41))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB41)) | v113(constB41))),
% 53.76/33.93 inference(rewrite,[status(thm)],[])).
% 53.76/33.93 tff(8185,plain,
% 53.76/33.93 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB41)) | v113(constB41))),
% 53.76/33.93 inference(quant_inst,[status(thm)],[])).
% 53.76/33.93 tff(8186,plain,
% 53.76/33.93 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB41)) | v113(constB41)),
% 53.76/33.93 inference(modus_ponens,[status(thm)],[8185, 8184])).
% 53.76/33.93 tff(8187,plain,
% 53.76/33.93 (v113(constB41)),
% 53.76/33.93 inference(unit_resolution,[status(thm)],[8186, 1049, 8183])).
% 53.76/33.93 tff(8188,assumption,(v26(constB41)), introduced(assumption)).
% 53.76/33.93 tff(8189,plain,
% 53.76/33.93 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB41))),
% 53.76/33.93 inference(quant_inst,[status(thm)],[])).
% 53.76/33.93 tff(8190,plain,
% 53.76/33.93 ($false),
% 53.76/33.93 inference(unit_resolution,[status(thm)],[8189, 828, 8188])).
% 53.76/33.93 tff(8191,plain,(~v26(constB41)), inference(lemma,lemma(discharge,[]))).
% 53.76/33.93 tff(8192,plain,
% 53.76/33.93 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB41) | (~v113(constB41)) | v112(constB41))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB41) | (~v113(constB41)) | v112(constB41))),
% 53.76/33.93 inference(rewrite,[status(thm)],[])).
% 53.76/33.93 tff(8193,plain,
% 53.76/33.93 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB41) | (~v113(constB41)) | v112(constB41))),
% 53.76/33.93 inference(quant_inst,[status(thm)],[])).
% 53.76/33.93 tff(8194,plain,
% 53.76/33.93 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB41) | (~v113(constB41)) | v112(constB41)),
% 53.76/33.93 inference(modus_ponens,[status(thm)],[8193, 8192])).
% 53.76/33.93 tff(8195,plain,
% 53.76/33.93 ((~v113(constB41)) | v112(constB41)),
% 53.76/33.93 inference(unit_resolution,[status(thm)],[8194, 1063, 8191])).
% 53.76/33.93 tff(8196,plain,
% 53.76/33.93 (v112(constB41)),
% 53.76/33.93 inference(unit_resolution,[status(thm)],[8195, 8187])).
% 53.76/33.93 tff(8197,plain,
% 53.76/33.93 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB41) | (~v112(constB41)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB41) | (~v112(constB41)))),
% 53.76/33.93 inference(rewrite,[status(thm)],[])).
% 53.76/33.93 tff(8198,plain,
% 53.76/33.93 (((~v112(constB41)) | v108(constB41)) <=> (v108(constB41) | (~v112(constB41)))),
% 53.76/33.93 inference(rewrite,[status(thm)],[])).
% 53.76/33.93 tff(8199,plain,
% 53.76/33.93 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB41)) | v108(constB41))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB41) | (~v112(constB41))))),
% 53.76/33.93 inference(monotonicity,[status(thm)],[8198])).
% 53.76/33.93 tff(8200,plain,
% 53.76/33.93 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB41)) | v108(constB41))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB41) | (~v112(constB41)))),
% 53.76/33.93 inference(transitivity,[status(thm)],[8199, 8197])).
% 53.76/33.93 tff(8201,plain,
% 53.76/33.93 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB41)) | v108(constB41))),
% 53.76/33.93 inference(quant_inst,[status(thm)],[])).
% 53.76/33.93 tff(8202,plain,
% 53.76/33.93 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB41) | (~v112(constB41))),
% 53.76/33.93 inference(modus_ponens,[status(thm)],[8201, 8200])).
% 53.76/33.93 tff(8203,plain,
% 53.76/33.93 (v108(constB41)),
% 53.76/33.93 inference(unit_resolution,[status(thm)],[8202, 1075, 8196])).
% 53.76/33.93 tff(8204,plain,
% 53.76/33.93 (nextState(constB41, constB42) <=> nextState(constB41, constB42)),
% 53.76/33.93 inference(rewrite,[status(thm)],[])).
% 53.76/33.93 tff(8205,axiom,(nextState(constB41, constB42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_41_1')).
% 53.76/33.93 tff(8206,plain,
% 53.76/33.93 (nextState(constB41, constB42)),
% 53.76/33.93 inference(modus_ponens,[status(thm)],[8205, 8204])).
% 53.76/33.93 tff(8207,plain,
% 53.76/33.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41)))),
% 53.76/33.93 inference(rewrite,[status(thm)],[])).
% 53.76/33.93 tff(8208,plain,
% 53.76/33.93 (((~nextState(constB41, constB42)) | (~v108(constB41)) | v110(constB42)) <=> ((~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41)))),
% 53.76/33.93 inference(rewrite,[status(thm)],[])).
% 53.76/33.93 tff(8209,plain,
% 53.76/33.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB41, constB42)) | (~v108(constB41)) | v110(constB42))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41))))),
% 53.76/33.94 inference(monotonicity,[status(thm)],[8208])).
% 53.76/33.94 tff(8210,plain,
% 53.76/33.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB41, constB42)) | (~v108(constB41)) | v110(constB42))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41)))),
% 53.76/33.94 inference(transitivity,[status(thm)],[8209, 8207])).
% 53.76/33.94 tff(8211,plain,
% 53.76/33.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB41, constB42)) | (~v108(constB41)) | v110(constB42))),
% 53.76/33.94 inference(quant_inst,[status(thm)],[])).
% 53.76/33.94 tff(8212,plain,
% 53.76/33.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB41, constB42)) | v110(constB42) | (~v108(constB41))),
% 53.76/33.94 inference(modus_ponens,[status(thm)],[8211, 8210])).
% 53.76/33.94 tff(8213,plain,
% 53.76/33.94 (v110(constB42) | (~v108(constB41))),
% 53.76/33.94 inference(unit_resolution,[status(thm)],[8212, 1095, 8206])).
% 53.76/33.94 tff(8214,plain,
% 53.76/33.94 (v110(constB42)),
% 53.76/33.94 inference(unit_resolution,[status(thm)],[8213, 8203])).
% 53.76/33.94 tff(8215,plain,
% 53.76/33.94 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB41) | (~nextState(constB41, constB42)) | (~v104(constB42)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB41) | (~nextState(constB41, constB42)) | (~v104(constB42)))),
% 53.76/33.94 inference(rewrite,[status(thm)],[])).
% 53.76/33.94 tff(8216,plain,
% 53.76/33.94 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB41) | (~nextState(constB41, constB42)) | (~v104(constB42)))),
% 53.76/33.94 inference(quant_inst,[status(thm)],[])).
% 53.76/33.94 tff(8217,plain,
% 53.76/33.94 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB41) | (~nextState(constB41, constB42)) | (~v104(constB42))),
% 53.76/33.94 inference(modus_ponens,[status(thm)],[8216, 8215])).
% 53.76/33.94 tff(8218,plain,
% 53.76/33.94 (~v104(constB42)),
% 53.76/33.94 inference(unit_resolution,[status(thm)],[8217, 1113, 8206, 8072])).
% 53.76/33.94 tff(8219,plain,
% 53.76/33.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB41, constB42)) | v102(constB42) | v104(constB42))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB41, constB42)) | v102(constB42) | v104(constB42))),
% 53.76/33.94 inference(rewrite,[status(thm)],[])).
% 53.76/33.94 tff(8220,plain,
% 53.76/33.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB41, constB42)) | v102(constB42) | v104(constB42))),
% 53.76/33.94 inference(quant_inst,[status(thm)],[])).
% 53.76/33.94 tff(8221,plain,
% 53.76/33.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB41, constB42)) | v102(constB42) | v104(constB42)),
% 53.76/33.94 inference(modus_ponens,[status(thm)],[8220, 8219])).
% 53.76/33.94 tff(8222,plain,
% 53.76/33.94 (v102(constB42) | v104(constB42)),
% 53.76/33.94 inference(unit_resolution,[status(thm)],[8221, 1127, 8206])).
% 53.76/33.94 tff(8223,plain,
% 53.76/33.94 (v102(constB42)),
% 53.76/33.94 inference(unit_resolution,[status(thm)],[8222, 8218])).
% 53.76/33.94 tff(8224,plain,
% 53.76/33.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB41, constB42)) | v101(constB42) | (~v102(constB42)) | (~v1(constB42)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB41, constB42)) | v101(constB42) | (~v102(constB42)) | (~v1(constB42)))),
% 53.76/33.94 inference(rewrite,[status(thm)],[])).
% 53.76/33.94 tff(8225,plain,
% 53.76/33.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB41, constB42)) | v101(constB42) | (~v102(constB42)) | (~v1(constB42)))),
% 53.76/33.94 inference(quant_inst,[status(thm)],[])).
% 53.76/33.94 tff(8226,plain,
% 53.76/33.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB41, constB42)) | v101(constB42) | (~v102(constB42)) | (~v1(constB42))),
% 53.76/33.94 inference(modus_ponens,[status(thm)],[8225, 8224])).
% 53.76/33.94 tff(8227,plain,
% 53.76/33.94 (v101(constB42) | (~v102(constB42))),
% 53.76/33.94 inference(unit_resolution,[status(thm)],[8226, 1145, 8206, 607])).
% 53.76/33.94 tff(8228,plain,
% 53.76/33.94 (v101(constB42)),
% 53.76/33.94 inference(unit_resolution,[status(thm)],[8227, 8223])).
% 53.76/33.94 tff(8229,plain,
% 53.76/33.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42)))),
% 53.76/33.94 inference(rewrite,[status(thm)],[])).
% 53.76/33.94 tff(8230,plain,
% 53.76/33.94 (((~nextState(constB41, constB42)) | (~v101(constB42)) | (~v110(constB42)) | v100(constB42)) <=> ((~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42)))),
% 53.76/33.94 inference(rewrite,[status(thm)],[])).
% 53.76/33.94 tff(8231,plain,
% 53.76/33.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB41, constB42)) | (~v101(constB42)) | (~v110(constB42)) | v100(constB42))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42))))),
% 53.76/33.94 inference(monotonicity,[status(thm)],[8230])).
% 53.76/33.94 tff(8232,plain,
% 53.76/33.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB41, constB42)) | (~v101(constB42)) | (~v110(constB42)) | v100(constB42))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42)))),
% 53.76/33.94 inference(transitivity,[status(thm)],[8231, 8229])).
% 53.76/33.94 tff(8233,plain,
% 53.76/33.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB41, constB42)) | (~v101(constB42)) | (~v110(constB42)) | v100(constB42))),
% 53.76/33.94 inference(quant_inst,[status(thm)],[])).
% 53.76/33.94 tff(8234,plain,
% 53.76/33.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB41, constB42)) | v100(constB42) | (~v101(constB42)) | (~v110(constB42))),
% 53.76/33.94 inference(modus_ponens,[status(thm)],[8233, 8232])).
% 53.76/33.94 tff(8235,plain,
% 53.76/33.94 (v100(constB42) | (~v101(constB42)) | (~v110(constB42))),
% 53.76/33.94 inference(unit_resolution,[status(thm)],[8234, 1160, 8206])).
% 53.76/33.94 tff(8236,plain,
% 53.76/33.94 (v100(constB42) | (~v110(constB42))),
% 53.76/33.94 inference(unit_resolution,[status(thm)],[8235, 8228])).
% 53.76/33.94 tff(8237,plain,
% 53.76/33.94 (v100(constB42)),
% 53.76/33.94 inference(unit_resolution,[status(thm)],[8236, 8214])).
% 53.76/33.94 tff(8238,plain,
% 53.76/33.94 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB41)) | (~v130(constB41, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB41)) | (~v130(constB41, 2)))),
% 53.76/33.94 inference(rewrite,[status(thm)],[])).
% 53.76/33.94 tff(8239,plain,
% 53.76/33.94 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB41)) | (~v130(constB41, 2)))),
% 53.76/33.94 inference(quant_inst,[status(thm)],[])).
% 53.76/33.94 tff(8240,plain,
% 53.76/33.94 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB41)) | (~v130(constB41, 2))),
% 53.76/33.94 inference(modus_ponens,[status(thm)],[8239, 8238])).
% 53.76/33.94 tff(8241,plain,
% 53.76/33.94 (~v130(constB41, 2)),
% 53.76/33.94 inference(unit_resolution,[status(thm)],[8240, 1821, 8161])).
% 53.76/33.94 tff(8242,plain,
% 53.76/33.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB41, 2)) | v26(constB41) | v130(constB41, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB41, 2)) | v26(constB41) | v130(constB41, 2))),
% 53.76/33.94 inference(rewrite,[status(thm)],[])).
% 53.76/33.94 tff(8243,plain,
% 53.76/33.94 ((v26(constB41) | v130(constB41, 2) | (~v127(constB41, 2))) <=> ((~v127(constB41, 2)) | v26(constB41) | v130(constB41, 2))),
% 53.76/33.94 inference(rewrite,[status(thm)],[])).
% 53.76/33.94 tff(8244,plain,
% 53.76/33.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB41) | v130(constB41, 2) | (~v127(constB41, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB41, 2)) | v26(constB41) | v130(constB41, 2)))),
% 53.76/33.94 inference(monotonicity,[status(thm)],[8243])).
% 53.76/33.94 tff(8245,plain,
% 53.76/33.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB41) | v130(constB41, 2) | (~v127(constB41, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB41, 2)) | v26(constB41) | v130(constB41, 2))),
% 53.76/33.94 inference(transitivity,[status(thm)],[8244, 8242])).
% 53.76/33.94 tff(8246,plain,
% 53.76/33.94 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB41) | v130(constB41, 2) | (~v127(constB41, 2)))),
% 53.76/33.94 inference(quant_inst,[status(thm)],[])).
% 53.76/33.94 tff(8247,plain,
% 53.76/33.94 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB41, 2)) | v26(constB41) | v130(constB41, 2)),
% 53.76/33.94 inference(modus_ponens,[status(thm)],[8246, 8245])).
% 53.76/33.94 tff(8248,plain,
% 53.76/33.94 ((~v127(constB41, 2)) | v130(constB41, 2)),
% 53.76/33.94 inference(unit_resolution,[status(thm)],[8247, 1190, 8191])).
% 53.76/33.94 tff(8249,plain,
% 53.76/33.94 (~v127(constB41, 2)),
% 53.76/33.94 inference(unit_resolution,[status(thm)],[8248, 8241])).
% 53.76/33.94 tff(8250,plain,
% 53.76/33.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB41, constB42)) | v127(constB41, 2) | (~v129(constB42, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB41, constB42)) | v127(constB41, 2) | (~v129(constB42, 2)))),
% 53.76/33.94 inference(rewrite,[status(thm)],[])).
% 53.76/33.94 tff(8251,plain,
% 53.76/33.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB41, constB42)) | v127(constB41, 2) | (~v129(constB42, 2)))),
% 53.76/33.94 inference(quant_inst,[status(thm)],[])).
% 53.76/33.94 tff(8252,plain,
% 53.76/33.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB41, constB42)) | v127(constB41, 2) | (~v129(constB42, 2))),
% 53.76/33.94 inference(modus_ponens,[status(thm)],[8251, 8250])).
% 53.76/33.94 tff(8253,plain,
% 53.76/33.94 (v127(constB41, 2) | (~v129(constB42, 2))),
% 53.76/33.94 inference(unit_resolution,[status(thm)],[8252, 1208, 8206])).
% 53.76/33.94 tff(8254,plain,
% 53.76/33.94 (~v129(constB42, 2)),
% 53.76/33.94 inference(unit_resolution,[status(thm)],[8253, 8249])).
% 53.76/33.94 tff(8255,plain,
% 53.76/33.94 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB42, 2)) | v129(constB42, 2) | (~v100(constB42)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB42, 2)) | v129(constB42, 2) | (~v100(constB42)))),
% 53.76/33.94 inference(rewrite,[status(thm)],[])).
% 53.76/33.94 tff(8256,plain,
% 53.76/33.94 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB42, 2)) | v129(constB42, 2) | (~v100(constB42)))),
% 53.76/33.94 inference(quant_inst,[status(thm)],[])).
% 53.76/33.94 tff(8257,plain,
% 53.76/33.94 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB42, 2)) | v129(constB42, 2) | (~v100(constB42))),
% 53.76/33.94 inference(modus_ponens,[status(thm)],[8256, 8255])).
% 53.76/33.94 tff(8258,plain,
% 53.76/33.94 ((~v90(constB42, 2)) | (~v100(constB42))),
% 53.76/33.94 inference(unit_resolution,[status(thm)],[8257, 1223, 8254])).
% 53.76/33.94 tff(8259,plain,
% 53.76/33.94 (~v90(constB42, 2)),
% 53.76/33.94 inference(unit_resolution,[status(thm)],[8258, 8237])).
% 53.76/33.94 tff(8260,plain,
% 53.76/33.94 ((~v1(constB43)) <=> (~v1(constB43))),
% 53.76/33.94 inference(rewrite,[status(thm)],[])).
% 53.76/33.94 tff(8261,axiom,(~v1(constB43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_43_1_1')).
% 53.76/33.94 tff(8262,plain,
% 53.76/33.94 (~v1(constB43)),
% 53.76/33.94 inference(modus_ponens,[status(thm)],[8261, 8260])).
% 53.76/33.94 tff(8263,plain,
% 53.76/33.94 (nextState(constB42, constB43) <=> nextState(constB42, constB43)),
% 53.76/33.94 inference(rewrite,[status(thm)],[])).
% 53.76/33.94 tff(8264,axiom,(nextState(constB42, constB43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_42_1')).
% 53.76/33.94 tff(8265,plain,
% 53.76/33.94 (nextState(constB42, constB43)),
% 53.76/33.94 inference(modus_ponens,[status(thm)],[8264, 8263])).
% 53.76/33.94 tff(8266,plain,
% 53.76/33.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43)))),
% 53.76/33.94 inference(rewrite,[status(thm)],[])).
% 53.76/33.94 tff(8267,plain,
% 53.76/33.94 (((~nextState(constB42, constB43)) | (~v101(constB43)) | v1(constB43)) <=> (v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43)))),
% 53.76/33.94 inference(rewrite,[status(thm)],[])).
% 53.76/33.94 tff(8268,plain,
% 53.76/33.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB42, constB43)) | (~v101(constB43)) | v1(constB43))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43))))),
% 53.76/33.94 inference(monotonicity,[status(thm)],[8267])).
% 53.76/33.94 tff(8269,plain,
% 53.76/33.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB42, constB43)) | (~v101(constB43)) | v1(constB43))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43)))),
% 53.76/33.94 inference(transitivity,[status(thm)],[8268, 8266])).
% 53.76/33.94 tff(8270,plain,
% 53.76/33.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB42, constB43)) | (~v101(constB43)) | v1(constB43))),
% 53.76/33.94 inference(quant_inst,[status(thm)],[])).
% 53.76/33.94 tff(8271,plain,
% 53.76/33.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB43) | (~nextState(constB42, constB43)) | (~v101(constB43))),
% 53.76/33.94 inference(modus_ponens,[status(thm)],[8270, 8269])).
% 53.76/33.94 tff(8272,plain,
% 53.76/33.94 (~v101(constB43)),
% 53.76/33.94 inference(unit_resolution,[status(thm)],[8271, 873, 8265, 8262])).
% 53.76/33.94 tff(8273,plain,
% 53.76/33.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB42, constB43)) | v101(constB43) | (~v100(constB43)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB42, constB43)) | v101(constB43) | (~v100(constB43)))),
% 53.76/33.94 inference(rewrite,[status(thm)],[])).
% 53.76/33.94 tff(8274,plain,
% 53.76/33.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB42, constB43)) | v101(constB43) | (~v100(constB43)))),
% 53.76/33.94 inference(quant_inst,[status(thm)],[])).
% 53.76/33.94 tff(8275,plain,
% 53.76/33.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB42, constB43)) | v101(constB43) | (~v100(constB43))),
% 53.76/33.94 inference(modus_ponens,[status(thm)],[8274, 8273])).
% 53.76/33.94 tff(8276,plain,
% 53.76/33.94 (v101(constB43) | (~v100(constB43))),
% 53.76/33.94 inference(unit_resolution,[status(thm)],[8275, 890, 8265])).
% 53.76/33.94 tff(8277,plain,
% 53.76/33.94 (~v100(constB43)),
% 53.76/33.94 inference(unit_resolution,[status(thm)],[8276, 8272])).
% 53.76/33.94 tff(8278,plain,
% 53.76/33.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB42, 2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB42, 2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, 2)))),
% 53.76/33.94 inference(rewrite,[status(thm)],[])).
% 53.76/33.94 tff(8279,plain,
% 53.76/33.94 (((~nextState(constB42, constB43)) | v90(constB42, 2) | v100(constB43) | (~v90(constB43, 2))) <=> (v90(constB42, 2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, 2)))),
% 53.76/33.94 inference(rewrite,[status(thm)],[])).
% 53.76/33.94 tff(8280,plain,
% 53.76/33.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB42, constB43)) | v90(constB42, 2) | v100(constB43) | (~v90(constB43, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB42, 2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, 2))))),
% 53.76/33.94 inference(monotonicity,[status(thm)],[8279])).
% 53.76/33.94 tff(8281,plain,
% 53.76/33.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB42, constB43)) | v90(constB42, 2) | v100(constB43) | (~v90(constB43, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB42, 2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, 2)))),
% 53.76/33.94 inference(transitivity,[status(thm)],[8280, 8278])).
% 53.76/33.94 tff(8282,plain,
% 53.76/33.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB42, constB43)) | v90(constB42, 2) | v100(constB43) | (~v90(constB43, 2)))),
% 53.76/33.94 inference(quant_inst,[status(thm)],[])).
% 53.76/33.94 tff(8283,plain,
% 53.76/33.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB42, 2) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, 2))),
% 53.76/33.94 inference(modus_ponens,[status(thm)],[8282, 8281])).
% 53.76/33.94 tff(8284,plain,
% 53.76/33.94 (v90(constB42, 2) | v100(constB43) | (~v90(constB43, 2))),
% 53.76/33.94 inference(unit_resolution,[status(thm)],[8283, 905, 8265])).
% 53.76/33.94 tff(8285,plain,
% 53.76/33.94 (v90(constB42, 2) | (~v90(constB43, 2))),
% 53.76/33.94 inference(unit_resolution,[status(thm)],[8284, 8277])).
% 53.76/33.94 tff(8286,plain,
% 53.76/33.94 (~v90(constB43, 2)),
% 53.76/33.94 inference(unit_resolution,[status(thm)],[8285, 8259])).
% 53.76/33.94 tff(8287,plain,
% 53.76/33.94 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB41)) | v130(constB41, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB41)) | v130(constB41, 1))),
% 53.76/33.94 inference(rewrite,[status(thm)],[])).
% 53.76/33.94 tff(8288,plain,
% 53.76/33.94 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB41)) | v130(constB41, 1))),
% 53.76/33.94 inference(quant_inst,[status(thm)],[])).
% 53.76/33.94 tff(8289,plain,
% 53.76/33.94 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB41)) | v130(constB41, 1)),
% 53.76/33.94 inference(modus_ponens,[status(thm)],[8288, 8287])).
% 53.76/33.94 tff(8290,plain,
% 53.76/33.94 (v130(constB41, 1)),
% 53.76/33.94 inference(unit_resolution,[status(thm)],[8289, 1877, 8161])).
% 53.76/33.94 tff(8291,plain,
% 53.76/33.94 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB41) | (~v130(constB41, 1)) | v127(constB41, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB41) | (~v130(constB41, 1)) | v127(constB41, 1))),
% 53.76/33.94 inference(rewrite,[status(thm)],[])).
% 53.76/33.94 tff(8292,plain,
% 53.76/33.94 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB41) | (~v130(constB41, 1)) | v127(constB41, 1))),
% 53.76/33.94 inference(quant_inst,[status(thm)],[])).
% 53.76/33.94 tff(8293,plain,
% 53.76/33.94 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB41) | (~v130(constB41, 1)) | v127(constB41, 1)),
% 53.76/33.94 inference(modus_ponens,[status(thm)],[8292, 8291])).
% 53.76/33.94 tff(8294,plain,
% 53.76/33.94 ((~v130(constB41, 1)) | v127(constB41, 1)),
% 53.76/33.94 inference(unit_resolution,[status(thm)],[8293, 1593, 8191])).
% 53.76/33.94 tff(8295,plain,
% 53.76/33.94 (v127(constB41, 1)),
% 53.76/33.94 inference(unit_resolution,[status(thm)],[8294, 8290])).
% 53.76/33.94 tff(8296,plain,
% 53.76/33.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB41, constB42)) | (~v127(constB41, 1)) | v129(constB42, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB41, constB42)) | (~v127(constB41, 1)) | v129(constB42, 1))),
% 53.76/33.94 inference(rewrite,[status(thm)],[])).
% 53.76/33.94 tff(8297,plain,
% 53.76/33.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB41, constB42)) | (~v127(constB41, 1)) | v129(constB42, 1))),
% 53.76/33.94 inference(quant_inst,[status(thm)],[])).
% 53.76/33.94 tff(8298,plain,
% 53.76/33.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB41, constB42)) | (~v127(constB41, 1)) | v129(constB42, 1)),
% 53.76/33.94 inference(modus_ponens,[status(thm)],[8297, 8296])).
% 53.76/33.94 tff(8299,plain,
% 53.76/33.94 ((~v127(constB41, 1)) | v129(constB42, 1)),
% 53.76/33.94 inference(unit_resolution,[status(thm)],[8298, 1608, 8206])).
% 53.76/33.94 tff(8300,plain,
% 53.76/33.94 (v129(constB42, 1)),
% 53.76/33.94 inference(unit_resolution,[status(thm)],[8299, 8295])).
% 53.76/33.94 tff(8301,plain,
% 53.76/33.94 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB42, 1) | (~v129(constB42, 1)) | (~v100(constB42)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB42, 1) | (~v129(constB42, 1)) | (~v100(constB42)))),
% 53.76/33.94 inference(rewrite,[status(thm)],[])).
% 53.76/33.94 tff(8302,plain,
% 53.76/33.94 ((v90(constB42, 1) | (~v100(constB42)) | (~v129(constB42, 1))) <=> (v90(constB42, 1) | (~v129(constB42, 1)) | (~v100(constB42)))),
% 53.76/33.94 inference(rewrite,[status(thm)],[])).
% 53.76/33.94 tff(8303,plain,
% 53.76/33.94 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB42, 1) | (~v100(constB42)) | (~v129(constB42, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB42, 1) | (~v129(constB42, 1)) | (~v100(constB42))))),
% 53.76/33.94 inference(monotonicity,[status(thm)],[8302])).
% 53.76/33.94 tff(8304,plain,
% 53.76/33.94 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB42, 1) | (~v100(constB42)) | (~v129(constB42, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB42, 1) | (~v129(constB42, 1)) | (~v100(constB42)))),
% 53.76/33.94 inference(transitivity,[status(thm)],[8303, 8301])).
% 53.76/33.94 tff(8305,plain,
% 53.76/33.94 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB42, 1) | (~v100(constB42)) | (~v129(constB42, 1)))),
% 53.76/33.94 inference(quant_inst,[status(thm)],[])).
% 53.76/33.94 tff(8306,plain,
% 53.76/33.94 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB42, 1) | (~v129(constB42, 1)) | (~v100(constB42))),
% 53.76/33.94 inference(modus_ponens,[status(thm)],[8305, 8304])).
% 53.76/33.94 tff(8307,plain,
% 53.76/33.94 (v90(constB42, 1) | (~v100(constB42))),
% 53.76/33.94 inference(unit_resolution,[status(thm)],[8306, 1623, 8300])).
% 53.76/33.94 tff(8308,plain,
% 53.76/33.94 (v90(constB42, 1)),
% 53.76/33.94 inference(unit_resolution,[status(thm)],[8307, 8237])).
% 53.76/33.94 tff(8309,plain,
% 53.76/33.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB42, 1)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB42, 1)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, 1))),
% 53.76/33.94 inference(rewrite,[status(thm)],[])).
% 53.76/33.94 tff(8310,plain,
% 53.76/33.94 (((~nextState(constB42, constB43)) | (~v90(constB42, 1)) | v100(constB43) | v90(constB43, 1)) <=> ((~v90(constB42, 1)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, 1))),
% 53.76/33.94 inference(rewrite,[status(thm)],[])).
% 53.76/33.94 tff(8311,plain,
% 53.76/33.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB42, constB43)) | (~v90(constB42, 1)) | v100(constB43) | v90(constB43, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB42, 1)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, 1)))),
% 53.76/33.94 inference(monotonicity,[status(thm)],[8310])).
% 53.76/33.94 tff(8312,plain,
% 53.76/33.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB42, constB43)) | (~v90(constB42, 1)) | v100(constB43) | v90(constB43, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB42, 1)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, 1))),
% 53.76/33.94 inference(transitivity,[status(thm)],[8311, 8309])).
% 53.76/33.94 tff(8313,plain,
% 53.76/33.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB42, constB43)) | (~v90(constB42, 1)) | v100(constB43) | v90(constB43, 1))),
% 53.76/33.94 inference(quant_inst,[status(thm)],[])).
% 53.76/33.94 tff(8314,plain,
% 53.76/33.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB42, 1)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, 1)),
% 53.76/33.94 inference(modus_ponens,[status(thm)],[8313, 8312])).
% 53.76/33.94 tff(8315,plain,
% 53.76/33.94 ((~v90(constB42, 1)) | v100(constB43) | v90(constB43, 1)),
% 53.76/33.94 inference(unit_resolution,[status(thm)],[8314, 1641, 8265])).
% 53.76/33.94 tff(8316,plain,
% 53.76/33.94 ((~v90(constB42, 1)) | v90(constB43, 1)),
% 53.76/33.94 inference(unit_resolution,[status(thm)],[8315, 8277])).
% 53.76/33.94 tff(8317,plain,
% 53.76/33.94 (v90(constB43, 1)),
% 53.76/33.94 inference(unit_resolution,[status(thm)],[8316, 8308])).
% 53.76/33.94 tff(8318,plain,
% 53.76/33.94 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB41)) | (~v90(constB41, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB41)) | (~v90(constB41, 1)))),
% 53.76/33.94 inference(rewrite,[status(thm)],[])).
% 53.76/33.94 tff(8319,plain,
% 53.76/33.94 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB41)) | (~v90(constB41, 1)))),
% 53.76/33.94 inference(quant_inst,[status(thm)],[])).
% 53.76/33.94 tff(8320,plain,
% 53.76/33.94 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB41)) | (~v90(constB41, 1))),
% 53.76/33.94 inference(modus_ponens,[status(thm)],[8319, 8318])).
% 53.76/33.94 tff(8321,plain,
% 53.76/33.94 (~v124(constB41)),
% 53.76/33.94 inference(unit_resolution,[status(thm)],[8320, 2890, 8127])).
% 53.76/33.94 tff(8322,assumption,(~v130(constB41, 0)), introduced(assumption)).
% 53.76/33.94 tff(8323,plain,
% 53.76/33.94 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB41)) | v130(constB41, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB41)) | v130(constB41, 0))),
% 53.76/33.94 inference(rewrite,[status(thm)],[])).
% 53.76/33.94 tff(8324,plain,
% 53.76/33.94 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB41)) | v130(constB41, 0))),
% 53.76/33.94 inference(quant_inst,[status(thm)],[])).
% 53.76/33.94 tff(8325,plain,
% 53.76/33.94 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB41)) | v130(constB41, 0)),
% 53.76/33.94 inference(modus_ponens,[status(thm)],[8324, 8323])).
% 53.76/33.94 tff(8326,plain,
% 53.76/33.94 (~v123(constB41)),
% 53.76/33.94 inference(unit_resolution,[status(thm)],[8325, 2622, 8322])).
% 53.76/33.94 tff(8327,plain,
% 53.76/33.94 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB41)) | v130(constB41, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB41)) | v130(constB41, 0))),
% 53.76/33.94 inference(rewrite,[status(thm)],[])).
% 53.76/33.94 tff(8328,plain,
% 53.76/33.94 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB41)) | v130(constB41, 0))),
% 53.76/33.94 inference(quant_inst,[status(thm)],[])).
% 53.76/33.94 tff(8329,plain,
% 53.76/33.94 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB41)) | v130(constB41, 0)),
% 53.76/33.94 inference(modus_ponens,[status(thm)],[8328, 8327])).
% 53.76/33.94 tff(8330,plain,
% 53.76/33.94 (~v121(constB41)),
% 53.76/33.94 inference(unit_resolution,[status(thm)],[8329, 1915, 8322])).
% 53.76/33.94 tff(8331,plain,
% 53.76/33.94 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB41)) | v130(constB41, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB41)) | v130(constB41, 0))),
% 53.76/33.94 inference(rewrite,[status(thm)],[])).
% 53.76/33.94 tff(8332,plain,
% 53.76/33.94 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB41)) | v130(constB41, 0))),
% 53.76/33.94 inference(quant_inst,[status(thm)],[])).
% 53.76/33.94 tff(8333,plain,
% 53.76/33.94 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB41)) | v130(constB41, 0)),
% 53.76/33.94 inference(modus_ponens,[status(thm)],[8332, 8331])).
% 53.76/33.94 tff(8334,plain,
% 53.76/33.94 (~v119(constB41)),
% 53.76/33.94 inference(unit_resolution,[status(thm)],[8333, 1333, 8322])).
% 53.76/33.94 tff(8335,assumption,(~v90(constB41, 0)), introduced(assumption)).
% 53.76/33.94 tff(8336,assumption,(~v119(constB41)), introduced(assumption)).
% 53.76/33.94 tff(8337,assumption,(~v90(constB41, 1)), introduced(assumption)).
% 53.76/33.94 tff(8338,assumption,(~v123(constB41)), introduced(assumption)).
% 53.76/33.94 tff(8339,plain,
% 53.76/33.94 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB41, 0) | v90(constB41, 1) | (~v90(constB41, 2)) | v123(constB41))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB41, 0) | v90(constB41, 1) | (~v90(constB41, 2)) | v123(constB41))),
% 53.76/33.94 inference(rewrite,[status(thm)],[])).
% 53.76/33.94 tff(8340,plain,
% 53.76/33.94 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB41, 0) | v90(constB41, 1) | (~v90(constB41, 2)) | v123(constB41))),
% 53.76/33.94 inference(quant_inst,[status(thm)],[])).
% 53.76/33.94 tff(8341,plain,
% 53.76/33.94 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB41, 0) | v90(constB41, 1) | (~v90(constB41, 2)) | v123(constB41)),
% 53.76/33.94 inference(modus_ponens,[status(thm)],[8340, 8339])).
% 53.76/33.94 tff(8342,plain,
% 53.76/33.94 (v90(constB41, 1) | (~v90(constB41, 2)) | v123(constB41)),
% 53.76/33.94 inference(unit_resolution,[status(thm)],[8341, 2308, 8335])).
% 53.76/33.94 tff(8343,plain,
% 53.76/33.94 (~v90(constB41, 2)),
% 53.76/33.94 inference(unit_resolution,[status(thm)],[8342, 8337, 8338])).
% 53.76/33.94 tff(8344,plain,
% 53.76/33.94 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB41, 0) | v90(constB41, 1) | v90(constB41, 2) | v119(constB41))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB41, 0) | v90(constB41, 1) | v90(constB41, 2) | v119(constB41))),
% 53.76/33.94 inference(rewrite,[status(thm)],[])).
% 53.76/33.94 tff(8345,plain,
% 53.76/33.94 ((v90(constB41, 0) | v119(constB41) | v90(constB41, 1) | v90(constB41, 2)) <=> (v90(constB41, 0) | v90(constB41, 1) | v90(constB41, 2) | v119(constB41))),
% 53.76/33.94 inference(rewrite,[status(thm)],[])).
% 53.76/33.94 tff(8346,plain,
% 53.76/33.94 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB41, 0) | v119(constB41) | v90(constB41, 1) | v90(constB41, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB41, 0) | v90(constB41, 1) | v90(constB41, 2) | v119(constB41)))),
% 53.76/33.94 inference(monotonicity,[status(thm)],[8345])).
% 53.76/33.94 tff(8347,plain,
% 53.76/33.94 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB41, 0) | v119(constB41) | v90(constB41, 1) | v90(constB41, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB41, 0) | v90(constB41, 1) | v90(constB41, 2) | v119(constB41))),
% 53.76/33.94 inference(transitivity,[status(thm)],[8346, 8344])).
% 53.76/33.94 tff(8348,plain,
% 53.76/33.94 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB41, 0) | v119(constB41) | v90(constB41, 1) | v90(constB41, 2))),
% 53.76/33.94 inference(quant_inst,[status(thm)],[])).
% 53.76/33.94 tff(8349,plain,
% 53.76/33.94 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB41, 0) | v90(constB41, 1) | v90(constB41, 2) | v119(constB41)),
% 53.76/33.94 inference(modus_ponens,[status(thm)],[8348, 8347])).
% 53.76/33.94 tff(8350,plain,
% 53.76/33.94 (v90(constB41, 1) | v90(constB41, 2) | v119(constB41)),
% 53.76/33.94 inference(unit_resolution,[status(thm)],[8349, 968, 8335])).
% 53.76/33.94 tff(8351,plain,
% 53.76/33.94 ($false),
% 53.76/33.94 inference(unit_resolution,[status(thm)],[8350, 8343, 8337, 8336])).
% 53.76/33.94 tff(8352,plain,(v90(constB41, 1) | v119(constB41) | v90(constB41, 0) | v123(constB41)), inference(lemma,lemma(discharge,[]))).
% 53.76/33.94 tff(8353,plain,
% 53.76/33.94 (v90(constB41, 1)),
% 53.76/33.94 inference(unit_resolution,[status(thm)],[8352, 8335, 8334, 8326])).
% 53.76/33.94 tff(8354,plain,
% 53.76/33.94 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB41)) | (~v90(constB41, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB41)) | (~v90(constB41, 1)))),
% 53.76/33.94 inference(rewrite,[status(thm)],[])).
% 53.76/33.94 tff(8355,plain,
% 53.76/33.94 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB41)) | (~v90(constB41, 1)))),
% 53.76/33.94 inference(quant_inst,[status(thm)],[])).
% 53.76/33.94 tff(8356,plain,
% 53.76/33.94 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB41)) | (~v90(constB41, 1))),
% 53.76/33.94 inference(modus_ponens,[status(thm)],[8355, 8354])).
% 53.76/33.94 tff(8357,plain,
% 53.76/33.94 (~v120(constB41)),
% 53.76/33.94 inference(unit_resolution,[status(thm)],[8356, 2846, 8353])).
% 53.76/33.94 tff(8358,plain,
% 53.76/33.94 (v90(constB41, 0) | (~v90(constB41, 1)) | v90(constB41, 2)),
% 53.76/33.94 inference(unit_resolution,[status(thm)],[8160, 1731, 8330])).
% 53.76/33.94 tff(8359,plain,
% 53.76/33.94 (v90(constB41, 2)),
% 53.76/33.94 inference(unit_resolution,[status(thm)],[8358, 8353, 8335])).
% 53.76/33.94 tff(8360,plain,
% 53.76/33.94 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB41)) | (~v90(constB41, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB41)) | (~v90(constB41, 2)))),
% 53.76/33.94 inference(rewrite,[status(thm)],[])).
% 53.76/33.94 tff(8361,plain,
% 53.76/33.94 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB41)) | (~v90(constB41, 2)))),
% 53.76/33.94 inference(quant_inst,[status(thm)],[])).
% 53.76/33.94 tff(8362,plain,
% 53.76/33.94 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB41)) | (~v90(constB41, 2))),
% 53.76/33.94 inference(modus_ponens,[status(thm)],[8361, 8360])).
% 53.76/33.94 tff(8363,plain,
% 53.76/33.94 (~v122(constB41)),
% 53.76/33.94 inference(unit_resolution,[status(thm)],[8362, 2797, 8359])).
% 53.76/33.94 tff(8364,assumption,(~v124(constB41)), introduced(assumption)).
% 53.76/33.94 tff(8365,plain,
% 53.76/33.94 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB41) | v120(constB41) | v121(constB41) | v122(constB41) | v123(constB41) | v124(constB41) | v130(constB41, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB41) | v120(constB41) | v121(constB41) | v122(constB41) | v123(constB41) | v124(constB41) | v130(constB41, 0))),
% 53.76/33.94 inference(rewrite,[status(thm)],[])).
% 53.76/33.94 tff(8366,plain,
% 53.76/33.94 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB41) | v120(constB41) | v121(constB41) | v122(constB41) | v123(constB41) | v124(constB41) | v130(constB41, 0))),
% 53.76/33.94 inference(quant_inst,[status(thm)],[])).
% 53.76/33.94 tff(8367,plain,
% 53.76/33.94 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB41) | v120(constB41) | v121(constB41) | v122(constB41) | v123(constB41) | v124(constB41) | v130(constB41, 0)),
% 53.76/33.94 inference(modus_ponens,[status(thm)],[8366, 8365])).
% 53.76/33.94 tff(8368,plain,
% 53.76/33.94 (v119(constB41) | v120(constB41) | v121(constB41) | v122(constB41) | v123(constB41) | v130(constB41, 0)),
% 53.76/33.94 inference(unit_resolution,[status(thm)],[8367, 3413, 8364])).
% 53.76/33.94 tff(8369,plain,
% 53.76/33.94 ($false),
% 53.76/33.94 inference(unit_resolution,[status(thm)],[8368, 8363, 8357, 8322, 8334, 8330, 8326])).
% 53.76/33.94 tff(8370,plain,(v90(constB41, 0) | v130(constB41, 0) | v124(constB41)), inference(lemma,lemma(discharge,[]))).
% 53.76/33.94 tff(8371,plain,
% 53.76/33.94 (v130(constB41, 0)),
% 53.76/33.94 inference(unit_resolution,[status(thm)],[8370, 8321, 8157])).
% 53.76/33.94 tff(8372,plain,
% 53.76/33.94 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB41) | (~v130(constB41, 0)) | v127(constB41, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB41) | (~v130(constB41, 0)) | v127(constB41, 0))),
% 53.76/33.94 inference(rewrite,[status(thm)],[])).
% 53.76/33.94 tff(8373,plain,
% 53.76/33.94 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB41) | (~v130(constB41, 0)) | v127(constB41, 0))),
% 53.76/33.94 inference(quant_inst,[status(thm)],[])).
% 53.76/33.94 tff(8374,plain,
% 53.76/33.94 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB41) | (~v130(constB41, 0)) | v127(constB41, 0)),
% 53.76/33.94 inference(modus_ponens,[status(thm)],[8373, 8372])).
% 53.76/33.94 tff(8375,plain,
% 53.76/33.94 ((~v130(constB41, 0)) | v127(constB41, 0)),
% 53.76/33.94 inference(unit_resolution,[status(thm)],[8374, 1347, 8191])).
% 53.76/33.94 tff(8376,plain,
% 53.76/33.94 (v127(constB41, 0)),
% 53.76/33.94 inference(unit_resolution,[status(thm)],[8375, 8371])).
% 53.76/33.94 tff(8377,plain,
% 53.76/33.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB41, constB42)) | (~v127(constB41, 0)) | v129(constB42, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB41, constB42)) | (~v127(constB41, 0)) | v129(constB42, 0))),
% 53.76/33.94 inference(rewrite,[status(thm)],[])).
% 53.76/33.94 tff(8378,plain,
% 53.76/33.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB41, constB42)) | (~v127(constB41, 0)) | v129(constB42, 0))),
% 53.76/33.94 inference(quant_inst,[status(thm)],[])).
% 53.76/33.94 tff(8379,plain,
% 53.76/33.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB41, constB42)) | (~v127(constB41, 0)) | v129(constB42, 0)),
% 53.76/33.94 inference(modus_ponens,[status(thm)],[8378, 8377])).
% 53.76/33.94 tff(8380,plain,
% 53.76/33.94 ((~v127(constB41, 0)) | v129(constB42, 0)),
% 53.76/33.94 inference(unit_resolution,[status(thm)],[8379, 1362, 8206])).
% 53.76/33.94 tff(8381,plain,
% 53.76/33.94 (v129(constB42, 0)),
% 53.76/33.94 inference(unit_resolution,[status(thm)],[8380, 8376])).
% 53.76/33.94 tff(8382,plain,
% 53.76/33.94 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB42, 0) | (~v129(constB42, 0)) | (~v100(constB42)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB42, 0) | (~v129(constB42, 0)) | (~v100(constB42)))),
% 53.76/33.94 inference(rewrite,[status(thm)],[])).
% 53.76/33.94 tff(8383,plain,
% 53.76/33.94 ((v90(constB42, 0) | (~v100(constB42)) | (~v129(constB42, 0))) <=> (v90(constB42, 0) | (~v129(constB42, 0)) | (~v100(constB42)))),
% 53.76/33.94 inference(rewrite,[status(thm)],[])).
% 53.76/33.94 tff(8384,plain,
% 53.76/33.94 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB42, 0) | (~v100(constB42)) | (~v129(constB42, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB42, 0) | (~v129(constB42, 0)) | (~v100(constB42))))),
% 53.76/33.94 inference(monotonicity,[status(thm)],[8383])).
% 53.76/33.94 tff(8385,plain,
% 53.76/33.94 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB42, 0) | (~v100(constB42)) | (~v129(constB42, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB42, 0) | (~v129(constB42, 0)) | (~v100(constB42)))),
% 53.76/33.94 inference(transitivity,[status(thm)],[8384, 8382])).
% 53.76/33.94 tff(8386,plain,
% 53.76/33.94 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB42, 0) | (~v100(constB42)) | (~v129(constB42, 0)))),
% 53.76/33.94 inference(quant_inst,[status(thm)],[])).
% 53.76/33.94 tff(8387,plain,
% 53.76/33.94 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB42, 0) | (~v129(constB42, 0)) | (~v100(constB42))),
% 53.76/33.94 inference(modus_ponens,[status(thm)],[8386, 8385])).
% 53.76/33.94 tff(8388,plain,
% 53.76/33.94 (v90(constB42, 0) | (~v100(constB42))),
% 53.76/33.94 inference(unit_resolution,[status(thm)],[8387, 1377, 8381])).
% 53.76/33.94 tff(8389,plain,
% 53.76/33.94 (v90(constB42, 0)),
% 53.76/33.94 inference(unit_resolution,[status(thm)],[8388, 8237])).
% 53.76/33.94 tff(8390,plain,
% 53.76/33.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB42, 0)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB42, 0)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, 0))),
% 53.76/33.94 inference(rewrite,[status(thm)],[])).
% 53.76/33.94 tff(8391,plain,
% 53.76/33.94 (((~nextState(constB42, constB43)) | (~v90(constB42, 0)) | v100(constB43) | v90(constB43, 0)) <=> ((~v90(constB42, 0)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, 0))),
% 53.76/33.94 inference(rewrite,[status(thm)],[])).
% 53.76/33.94 tff(8392,plain,
% 53.76/33.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB42, constB43)) | (~v90(constB42, 0)) | v100(constB43) | v90(constB43, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB42, 0)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, 0)))),
% 53.76/33.94 inference(monotonicity,[status(thm)],[8391])).
% 53.76/33.94 tff(8393,plain,
% 53.76/33.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB42, constB43)) | (~v90(constB42, 0)) | v100(constB43) | v90(constB43, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB42, 0)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, 0))),
% 53.76/33.94 inference(transitivity,[status(thm)],[8392, 8390])).
% 53.76/33.94 tff(8394,plain,
% 53.76/33.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB42, constB43)) | (~v90(constB42, 0)) | v100(constB43) | v90(constB43, 0))),
% 53.76/33.94 inference(quant_inst,[status(thm)],[])).
% 53.76/33.94 tff(8395,plain,
% 53.76/33.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB42, 0)) | (~nextState(constB42, constB43)) | v100(constB43) | v90(constB43, 0)),
% 53.76/33.95 inference(modus_ponens,[status(thm)],[8394, 8393])).
% 53.76/33.95 tff(8396,plain,
% 53.76/33.95 ((~v90(constB42, 0)) | v100(constB43) | v90(constB43, 0)),
% 53.76/33.95 inference(unit_resolution,[status(thm)],[8395, 1395, 8265])).
% 53.76/33.95 tff(8397,plain,
% 53.76/33.95 ((~v90(constB42, 0)) | v90(constB43, 0)),
% 53.76/33.95 inference(unit_resolution,[status(thm)],[8396, 8277])).
% 53.76/33.95 tff(8398,plain,
% 53.76/33.95 (v90(constB43, 0)),
% 53.76/33.95 inference(unit_resolution,[status(thm)],[8397, 8389])).
% 53.76/33.95 tff(8399,plain,
% 53.76/33.95 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB43, 0)) | (~v90(constB43, 1)) | v90(constB43, 2) | v122(constB43))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB43, 0)) | (~v90(constB43, 1)) | v90(constB43, 2) | v122(constB43))),
% 53.76/33.95 inference(rewrite,[status(thm)],[])).
% 53.76/33.95 tff(8400,plain,
% 53.76/33.95 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB43, 0)) | (~v90(constB43, 1)) | v90(constB43, 2) | v122(constB43))),
% 53.76/33.95 inference(quant_inst,[status(thm)],[])).
% 53.76/33.95 tff(8401,plain,
% 53.76/33.95 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB43, 0)) | (~v90(constB43, 1)) | v90(constB43, 2) | v122(constB43)),
% 53.76/33.95 inference(modus_ponens,[status(thm)],[8400, 8399])).
% 53.76/33.95 tff(8402,plain,
% 53.76/33.95 (v122(constB43)),
% 53.76/33.95 inference(unit_resolution,[status(thm)],[8401, 1956, 8398, 8317, 8286])).
% 53.76/33.95 tff(8403,plain,
% 53.76/33.95 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB43)) | v116(constB43))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB43)) | v116(constB43))),
% 53.76/33.95 inference(rewrite,[status(thm)],[])).
% 53.76/33.95 tff(8404,plain,
% 53.76/33.95 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB43)) | v116(constB43))),
% 53.76/33.95 inference(quant_inst,[status(thm)],[])).
% 53.76/33.95 tff(8405,plain,
% 53.76/33.95 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB43)) | v116(constB43)),
% 53.76/33.95 inference(modus_ponens,[status(thm)],[8404, 8403])).
% 53.76/33.95 tff(8406,plain,
% 53.76/33.95 (v116(constB43)),
% 53.76/33.95 inference(unit_resolution,[status(thm)],[8405, 2120, 8402])).
% 53.76/33.95 tff(8407,plain,
% 53.76/33.95 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB43)) | v115(constB43))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB43)) | v115(constB43))),
% 53.76/33.95 inference(rewrite,[status(thm)],[])).
% 53.76/33.95 tff(8408,plain,
% 53.76/33.95 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB43)) | v115(constB43))),
% 53.76/33.95 inference(quant_inst,[status(thm)],[])).
% 53.76/33.95 tff(8409,plain,
% 53.76/33.95 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB43)) | v115(constB43)),
% 53.76/33.95 inference(modus_ponens,[status(thm)],[8408, 8407])).
% 53.76/33.95 tff(8410,plain,
% 53.76/33.95 (v115(constB43)),
% 53.76/33.95 inference(unit_resolution,[status(thm)],[8409, 1021, 8406])).
% 53.76/33.95 tff(8411,plain,
% 53.76/33.95 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB43) | (~v115(constB43)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB43) | (~v115(constB43)))),
% 53.76/33.95 inference(rewrite,[status(thm)],[])).
% 53.76/33.95 tff(8412,plain,
% 53.76/33.95 (((~v115(constB43)) | v114(constB43)) <=> (v114(constB43) | (~v115(constB43)))),
% 53.76/33.95 inference(rewrite,[status(thm)],[])).
% 53.76/33.95 tff(8413,plain,
% 53.76/33.95 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB43)) | v114(constB43))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB43) | (~v115(constB43))))),
% 53.76/33.95 inference(monotonicity,[status(thm)],[8412])).
% 53.76/33.95 tff(8414,plain,
% 53.76/33.95 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB43)) | v114(constB43))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB43) | (~v115(constB43)))),
% 53.76/33.95 inference(transitivity,[status(thm)],[8413, 8411])).
% 53.76/33.95 tff(8415,plain,
% 53.76/33.95 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB43)) | v114(constB43))),
% 53.76/33.95 inference(quant_inst,[status(thm)],[])).
% 53.76/33.95 tff(8416,plain,
% 53.76/33.95 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB43) | (~v115(constB43))),
% 53.76/33.95 inference(modus_ponens,[status(thm)],[8415, 8414])).
% 53.76/33.95 tff(8417,plain,
% 53.76/33.95 (v114(constB43)),
% 53.76/33.95 inference(unit_resolution,[status(thm)],[8416, 1035, 8410])).
% 53.76/33.95 tff(8418,plain,
% 53.76/33.95 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB43) | (~v114(constB43)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB43) | (~v114(constB43)))),
% 53.76/33.95 inference(rewrite,[status(thm)],[])).
% 53.76/33.95 tff(8419,plain,
% 53.76/33.95 (((~v114(constB43)) | v113(constB43)) <=> (v113(constB43) | (~v114(constB43)))),
% 53.76/33.95 inference(rewrite,[status(thm)],[])).
% 53.76/33.95 tff(8420,plain,
% 53.76/33.95 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB43)) | v113(constB43))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB43) | (~v114(constB43))))),
% 53.76/33.95 inference(monotonicity,[status(thm)],[8419])).
% 53.76/33.95 tff(8421,plain,
% 53.76/33.95 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB43)) | v113(constB43))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB43) | (~v114(constB43)))),
% 53.76/33.95 inference(transitivity,[status(thm)],[8420, 8418])).
% 53.76/33.95 tff(8422,plain,
% 53.76/33.95 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB43)) | v113(constB43))),
% 53.76/33.95 inference(quant_inst,[status(thm)],[])).
% 53.76/33.95 tff(8423,plain,
% 53.76/33.95 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB43) | (~v114(constB43))),
% 53.76/33.95 inference(modus_ponens,[status(thm)],[8422, 8421])).
% 53.76/33.95 tff(8424,plain,
% 53.76/33.95 (v113(constB43)),
% 53.76/33.95 inference(unit_resolution,[status(thm)],[8423, 1049, 8417])).
% 53.76/33.95 tff(8425,assumption,(v26(constB43)), introduced(assumption)).
% 53.76/33.95 tff(8426,plain,
% 53.76/33.95 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB43))),
% 53.76/33.95 inference(quant_inst,[status(thm)],[])).
% 53.76/33.95 tff(8427,plain,
% 53.76/33.95 ($false),
% 53.76/33.95 inference(unit_resolution,[status(thm)],[8426, 828, 8425])).
% 53.76/33.95 tff(8428,plain,(~v26(constB43)), inference(lemma,lemma(discharge,[]))).
% 53.76/33.95 tff(8429,plain,
% 53.76/33.95 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB43) | (~v113(constB43)) | v112(constB43))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB43) | (~v113(constB43)) | v112(constB43))),
% 53.76/33.95 inference(rewrite,[status(thm)],[])).
% 53.76/33.95 tff(8430,plain,
% 53.76/33.95 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB43) | (~v113(constB43)) | v112(constB43))),
% 53.76/33.95 inference(quant_inst,[status(thm)],[])).
% 53.76/33.95 tff(8431,plain,
% 53.76/33.95 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB43) | (~v113(constB43)) | v112(constB43)),
% 53.76/33.95 inference(modus_ponens,[status(thm)],[8430, 8429])).
% 53.76/33.95 tff(8432,plain,
% 53.76/33.95 ((~v113(constB43)) | v112(constB43)),
% 53.76/33.95 inference(unit_resolution,[status(thm)],[8431, 1063, 8428])).
% 53.76/33.95 tff(8433,plain,
% 53.76/33.95 (v112(constB43)),
% 53.76/33.95 inference(unit_resolution,[status(thm)],[8432, 8424])).
% 53.76/33.95 tff(8434,plain,
% 53.76/33.95 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB43) | (~v112(constB43)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB43) | (~v112(constB43)))),
% 53.76/33.95 inference(rewrite,[status(thm)],[])).
% 53.76/33.95 tff(8435,plain,
% 53.76/33.95 (((~v112(constB43)) | v108(constB43)) <=> (v108(constB43) | (~v112(constB43)))),
% 53.76/33.95 inference(rewrite,[status(thm)],[])).
% 53.76/33.95 tff(8436,plain,
% 53.76/33.95 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB43)) | v108(constB43))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB43) | (~v112(constB43))))),
% 53.76/33.95 inference(monotonicity,[status(thm)],[8435])).
% 53.76/33.95 tff(8437,plain,
% 53.76/33.95 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB43)) | v108(constB43))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB43) | (~v112(constB43)))),
% 53.76/33.95 inference(transitivity,[status(thm)],[8436, 8434])).
% 53.76/33.95 tff(8438,plain,
% 53.76/33.95 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB43)) | v108(constB43))),
% 53.76/33.95 inference(quant_inst,[status(thm)],[])).
% 53.76/33.95 tff(8439,plain,
% 53.76/33.95 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB43) | (~v112(constB43))),
% 53.76/33.95 inference(modus_ponens,[status(thm)],[8438, 8437])).
% 53.76/33.95 tff(8440,plain,
% 53.76/33.95 (v108(constB43)),
% 53.76/33.95 inference(unit_resolution,[status(thm)],[8439, 1075, 8433])).
% 53.76/33.95 tff(8441,plain,
% 53.76/33.95 (nextState(constB43, constB44) <=> nextState(constB43, constB44)),
% 53.76/33.95 inference(rewrite,[status(thm)],[])).
% 53.76/33.95 tff(8442,axiom,(nextState(constB43, constB44)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_43_1')).
% 53.76/33.95 tff(8443,plain,
% 53.76/33.95 (nextState(constB43, constB44)),
% 53.76/33.95 inference(modus_ponens,[status(thm)],[8442, 8441])).
% 53.76/33.95 tff(8444,plain,
% 53.76/33.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43)))),
% 53.76/33.95 inference(rewrite,[status(thm)],[])).
% 53.76/33.95 tff(8445,plain,
% 53.76/33.95 (((~nextState(constB43, constB44)) | (~v108(constB43)) | v110(constB44)) <=> ((~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43)))),
% 53.76/33.95 inference(rewrite,[status(thm)],[])).
% 53.76/33.95 tff(8446,plain,
% 53.76/33.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB43, constB44)) | (~v108(constB43)) | v110(constB44))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43))))),
% 53.76/33.95 inference(monotonicity,[status(thm)],[8445])).
% 53.76/33.95 tff(8447,plain,
% 53.76/33.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB43, constB44)) | (~v108(constB43)) | v110(constB44))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43)))),
% 53.76/33.95 inference(transitivity,[status(thm)],[8446, 8444])).
% 53.76/33.95 tff(8448,plain,
% 53.76/33.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB43, constB44)) | (~v108(constB43)) | v110(constB44))),
% 53.76/33.95 inference(quant_inst,[status(thm)],[])).
% 53.76/33.95 tff(8449,plain,
% 53.76/33.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB43, constB44)) | v110(constB44) | (~v108(constB43))),
% 53.76/33.95 inference(modus_ponens,[status(thm)],[8448, 8447])).
% 53.76/33.95 tff(8450,plain,
% 53.76/33.95 (v110(constB44) | (~v108(constB43))),
% 53.76/33.95 inference(unit_resolution,[status(thm)],[8449, 1095, 8443])).
% 53.76/33.95 tff(8451,plain,
% 53.76/33.95 (v110(constB44)),
% 53.76/33.95 inference(unit_resolution,[status(thm)],[8450, 8440])).
% 53.76/33.95 tff(8452,plain,
% 53.76/33.95 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB43) | (~nextState(constB43, constB44)) | (~v104(constB44)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB43) | (~nextState(constB43, constB44)) | (~v104(constB44)))),
% 53.76/33.95 inference(rewrite,[status(thm)],[])).
% 53.76/33.95 tff(8453,plain,
% 53.76/33.95 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB43) | (~nextState(constB43, constB44)) | (~v104(constB44)))),
% 53.76/33.95 inference(quant_inst,[status(thm)],[])).
% 53.76/33.95 tff(8454,plain,
% 53.76/33.95 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB43) | (~nextState(constB43, constB44)) | (~v104(constB44))),
% 53.76/33.95 inference(modus_ponens,[status(thm)],[8453, 8452])).
% 53.76/33.95 tff(8455,plain,
% 53.76/33.95 (~v104(constB44)),
% 53.76/33.95 inference(unit_resolution,[status(thm)],[8454, 1113, 8443, 8262])).
% 53.76/33.95 tff(8456,plain,
% 53.76/33.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB43, constB44)) | v102(constB44) | v104(constB44))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB43, constB44)) | v102(constB44) | v104(constB44))),
% 53.76/33.95 inference(rewrite,[status(thm)],[])).
% 53.76/33.95 tff(8457,plain,
% 53.76/33.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB43, constB44)) | v102(constB44) | v104(constB44))),
% 53.76/33.95 inference(quant_inst,[status(thm)],[])).
% 53.76/33.95 tff(8458,plain,
% 53.76/33.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB43, constB44)) | v102(constB44) | v104(constB44)),
% 53.76/33.95 inference(modus_ponens,[status(thm)],[8457, 8456])).
% 53.76/33.95 tff(8459,plain,
% 53.76/33.95 (v102(constB44) | v104(constB44)),
% 53.76/33.95 inference(unit_resolution,[status(thm)],[8458, 1127, 8443])).
% 53.76/33.95 tff(8460,plain,
% 53.76/33.95 (v102(constB44)),
% 53.76/33.95 inference(unit_resolution,[status(thm)],[8459, 8455])).
% 53.76/33.95 tff(8461,plain,
% 53.76/33.95 (v1(constB44) <=> v1(constB44)),
% 53.76/33.95 inference(rewrite,[status(thm)],[])).
% 53.76/33.95 tff(8462,axiom,(v1(constB44)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_44_1')).
% 53.76/33.95 tff(8463,plain,
% 53.76/33.95 (v1(constB44)),
% 53.76/33.95 inference(modus_ponens,[status(thm)],[8462, 8461])).
% 53.76/33.95 tff(8464,plain,
% 53.76/33.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB43, constB44)) | v101(constB44) | (~v102(constB44)) | (~v1(constB44)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB43, constB44)) | v101(constB44) | (~v102(constB44)) | (~v1(constB44)))),
% 53.76/33.95 inference(rewrite,[status(thm)],[])).
% 53.76/33.95 tff(8465,plain,
% 53.76/33.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB43, constB44)) | v101(constB44) | (~v102(constB44)) | (~v1(constB44)))),
% 53.76/33.95 inference(quant_inst,[status(thm)],[])).
% 53.76/33.95 tff(8466,plain,
% 53.76/33.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB43, constB44)) | v101(constB44) | (~v102(constB44)) | (~v1(constB44))),
% 53.76/33.95 inference(modus_ponens,[status(thm)],[8465, 8464])).
% 53.76/33.95 tff(8467,plain,
% 53.76/33.95 (v101(constB44) | (~v102(constB44))),
% 53.76/33.95 inference(unit_resolution,[status(thm)],[8466, 1145, 8443, 8463])).
% 53.76/33.95 tff(8468,plain,
% 53.76/33.95 (v101(constB44)),
% 53.76/33.95 inference(unit_resolution,[status(thm)],[8467, 8460])).
% 53.76/33.95 tff(8469,plain,
% 53.76/33.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44)))),
% 53.76/33.95 inference(rewrite,[status(thm)],[])).
% 53.76/33.95 tff(8470,plain,
% 53.76/33.95 (((~nextState(constB43, constB44)) | (~v101(constB44)) | (~v110(constB44)) | v100(constB44)) <=> ((~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44)))),
% 53.76/33.95 inference(rewrite,[status(thm)],[])).
% 53.76/33.95 tff(8471,plain,
% 53.76/33.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB43, constB44)) | (~v101(constB44)) | (~v110(constB44)) | v100(constB44))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44))))),
% 53.76/33.95 inference(monotonicity,[status(thm)],[8470])).
% 53.76/33.95 tff(8472,plain,
% 53.76/33.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB43, constB44)) | (~v101(constB44)) | (~v110(constB44)) | v100(constB44))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44)))),
% 53.76/33.95 inference(transitivity,[status(thm)],[8471, 8469])).
% 53.76/33.95 tff(8473,plain,
% 53.76/33.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB43, constB44)) | (~v101(constB44)) | (~v110(constB44)) | v100(constB44))),
% 53.76/33.95 inference(quant_inst,[status(thm)],[])).
% 53.76/33.95 tff(8474,plain,
% 53.76/33.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB43, constB44)) | v100(constB44) | (~v101(constB44)) | (~v110(constB44))),
% 53.76/33.95 inference(modus_ponens,[status(thm)],[8473, 8472])).
% 53.76/33.95 tff(8475,plain,
% 53.76/33.95 (v100(constB44) | (~v101(constB44)) | (~v110(constB44))),
% 53.76/33.95 inference(unit_resolution,[status(thm)],[8474, 1160, 8443])).
% 53.76/33.95 tff(8476,plain,
% 53.76/33.95 (v100(constB44) | (~v110(constB44))),
% 53.76/33.95 inference(unit_resolution,[status(thm)],[8475, 8468])).
% 53.76/33.95 tff(8477,plain,
% 53.76/33.95 (v100(constB44)),
% 53.76/33.95 inference(unit_resolution,[status(thm)],[8476, 8451])).
% 53.76/33.95 tff(8478,plain,
% 53.76/33.95 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB43)) | v130(constB43, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB43)) | v130(constB43, 2))),
% 53.76/33.95 inference(rewrite,[status(thm)],[])).
% 53.76/33.95 tff(8479,plain,
% 53.76/33.95 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB43)) | v130(constB43, 2))),
% 53.76/33.95 inference(quant_inst,[status(thm)],[])).
% 53.76/33.95 tff(8480,plain,
% 53.76/33.95 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB43)) | v130(constB43, 2)),
% 53.76/33.95 inference(modus_ponens,[status(thm)],[8479, 8478])).
% 53.76/33.95 tff(8481,plain,
% 53.76/33.95 (v130(constB43, 2)),
% 53.76/33.95 inference(unit_resolution,[status(thm)],[8480, 1967, 8402])).
% 53.76/33.95 tff(8482,plain,
% 53.76/33.95 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB43) | (~v130(constB43, 2)) | v127(constB43, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB43) | (~v130(constB43, 2)) | v127(constB43, 2))),
% 53.76/33.95 inference(rewrite,[status(thm)],[])).
% 53.76/33.95 tff(8483,plain,
% 53.76/33.95 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB43) | (~v130(constB43, 2)) | v127(constB43, 2))),
% 53.76/33.95 inference(quant_inst,[status(thm)],[])).
% 53.76/33.95 tff(8484,plain,
% 53.76/33.95 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB43) | (~v130(constB43, 2)) | v127(constB43, 2)),
% 53.76/33.95 inference(modus_ponens,[status(thm)],[8483, 8482])).
% 53.76/33.95 tff(8485,plain,
% 53.76/33.95 ((~v130(constB43, 2)) | v127(constB43, 2)),
% 53.76/33.95 inference(unit_resolution,[status(thm)],[8484, 1981, 8428])).
% 53.76/33.95 tff(8486,plain,
% 53.76/33.95 (v127(constB43, 2)),
% 53.76/33.95 inference(unit_resolution,[status(thm)],[8485, 8481])).
% 53.76/33.95 tff(8487,plain,
% 53.76/33.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB43, constB44)) | (~v127(constB43, 2)) | v129(constB44, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB43, constB44)) | (~v127(constB43, 2)) | v129(constB44, 2))),
% 53.76/33.95 inference(rewrite,[status(thm)],[])).
% 53.76/33.95 tff(8488,plain,
% 53.76/33.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB43, constB44)) | (~v127(constB43, 2)) | v129(constB44, 2))),
% 53.76/33.95 inference(quant_inst,[status(thm)],[])).
% 53.76/33.95 tff(8489,plain,
% 53.76/33.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB43, constB44)) | (~v127(constB43, 2)) | v129(constB44, 2)),
% 53.76/33.95 inference(modus_ponens,[status(thm)],[8488, 8487])).
% 53.76/33.95 tff(8490,plain,
% 53.76/33.95 ((~v127(constB43, 2)) | v129(constB44, 2)),
% 53.76/33.95 inference(unit_resolution,[status(thm)],[8489, 1999, 8443])).
% 53.76/33.95 tff(8491,plain,
% 53.76/33.95 (v129(constB44, 2)),
% 53.76/33.95 inference(unit_resolution,[status(thm)],[8490, 8486])).
% 53.76/33.95 tff(8492,plain,
% 53.76/33.95 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB44, 2) | (~v129(constB44, 2)) | (~v100(constB44)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB44, 2) | (~v129(constB44, 2)) | (~v100(constB44)))),
% 53.76/33.95 inference(rewrite,[status(thm)],[])).
% 53.76/33.95 tff(8493,plain,
% 53.76/33.95 ((v90(constB44, 2) | (~v100(constB44)) | (~v129(constB44, 2))) <=> (v90(constB44, 2) | (~v129(constB44, 2)) | (~v100(constB44)))),
% 53.76/33.95 inference(rewrite,[status(thm)],[])).
% 53.76/33.95 tff(8494,plain,
% 53.76/33.95 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB44, 2) | (~v100(constB44)) | (~v129(constB44, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB44, 2) | (~v129(constB44, 2)) | (~v100(constB44))))),
% 53.76/33.95 inference(monotonicity,[status(thm)],[8493])).
% 53.76/33.95 tff(8495,plain,
% 53.76/33.95 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB44, 2) | (~v100(constB44)) | (~v129(constB44, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB44, 2) | (~v129(constB44, 2)) | (~v100(constB44)))),
% 53.76/33.95 inference(transitivity,[status(thm)],[8494, 8492])).
% 53.76/33.95 tff(8496,plain,
% 53.76/33.95 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB44, 2) | (~v100(constB44)) | (~v129(constB44, 2)))),
% 53.76/33.95 inference(quant_inst,[status(thm)],[])).
% 53.76/33.95 tff(8497,plain,
% 53.76/33.95 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB44, 2) | (~v129(constB44, 2)) | (~v100(constB44))),
% 53.76/33.95 inference(modus_ponens,[status(thm)],[8496, 8495])).
% 53.76/33.95 tff(8498,plain,
% 53.76/33.95 (v90(constB44, 2) | (~v100(constB44))),
% 53.76/33.95 inference(unit_resolution,[status(thm)],[8497, 2324, 8491])).
% 53.76/33.95 tff(8499,plain,
% 53.76/33.95 (v90(constB44, 2)),
% 53.76/33.95 inference(unit_resolution,[status(thm)],[8498, 8477])).
% 53.76/33.95 tff(8500,plain,
% 53.76/33.95 ((~v1(constB45)) <=> (~v1(constB45))),
% 53.76/33.95 inference(rewrite,[status(thm)],[])).
% 53.76/33.95 tff(8501,axiom,(~v1(constB45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_45_1_1')).
% 53.76/33.95 tff(8502,plain,
% 53.76/33.95 (~v1(constB45)),
% 53.76/33.95 inference(modus_ponens,[status(thm)],[8501, 8500])).
% 53.76/33.95 tff(8503,plain,
% 53.76/33.95 (nextState(constB44, constB45) <=> nextState(constB44, constB45)),
% 53.76/33.95 inference(rewrite,[status(thm)],[])).
% 53.76/33.95 tff(8504,axiom,(nextState(constB44, constB45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_44_1')).
% 53.76/33.95 tff(8505,plain,
% 53.76/33.95 (nextState(constB44, constB45)),
% 53.76/33.95 inference(modus_ponens,[status(thm)],[8504, 8503])).
% 53.76/33.95 tff(8506,plain,
% 53.76/33.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45)))),
% 53.76/33.95 inference(rewrite,[status(thm)],[])).
% 53.76/33.95 tff(8507,plain,
% 53.76/33.95 (((~nextState(constB44, constB45)) | (~v101(constB45)) | v1(constB45)) <=> (v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45)))),
% 53.76/33.95 inference(rewrite,[status(thm)],[])).
% 53.76/33.95 tff(8508,plain,
% 53.76/33.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB44, constB45)) | (~v101(constB45)) | v1(constB45))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45))))),
% 53.76/33.95 inference(monotonicity,[status(thm)],[8507])).
% 53.76/33.95 tff(8509,plain,
% 53.76/33.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB44, constB45)) | (~v101(constB45)) | v1(constB45))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45)))),
% 53.76/33.95 inference(transitivity,[status(thm)],[8508, 8506])).
% 53.76/33.95 tff(8510,plain,
% 53.76/33.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB44, constB45)) | (~v101(constB45)) | v1(constB45))),
% 53.76/33.95 inference(quant_inst,[status(thm)],[])).
% 53.76/33.95 tff(8511,plain,
% 53.76/33.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB45) | (~nextState(constB44, constB45)) | (~v101(constB45))),
% 53.76/33.95 inference(modus_ponens,[status(thm)],[8510, 8509])).
% 53.76/33.95 tff(8512,plain,
% 53.76/33.95 (~v101(constB45)),
% 53.76/33.95 inference(unit_resolution,[status(thm)],[8511, 873, 8505, 8502])).
% 53.76/33.95 tff(8513,plain,
% 53.76/33.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB44, constB45)) | v101(constB45) | (~v100(constB45)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB44, constB45)) | v101(constB45) | (~v100(constB45)))),
% 53.76/33.95 inference(rewrite,[status(thm)],[])).
% 53.76/33.95 tff(8514,plain,
% 53.76/33.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB44, constB45)) | v101(constB45) | (~v100(constB45)))),
% 53.76/33.95 inference(quant_inst,[status(thm)],[])).
% 53.76/33.95 tff(8515,plain,
% 53.76/33.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB44, constB45)) | v101(constB45) | (~v100(constB45))),
% 53.76/33.95 inference(modus_ponens,[status(thm)],[8514, 8513])).
% 53.76/33.95 tff(8516,plain,
% 53.76/33.95 (v101(constB45) | (~v100(constB45))),
% 53.76/33.95 inference(unit_resolution,[status(thm)],[8515, 890, 8505])).
% 53.76/33.95 tff(8517,plain,
% 53.76/33.95 (~v100(constB45)),
% 53.76/33.95 inference(unit_resolution,[status(thm)],[8516, 8512])).
% 53.76/33.95 tff(8518,plain,
% 53.76/33.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB44, 2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB44, 2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, 2))),
% 53.76/33.95 inference(rewrite,[status(thm)],[])).
% 53.76/33.95 tff(8519,plain,
% 53.76/33.95 (((~nextState(constB44, constB45)) | (~v90(constB44, 2)) | v100(constB45) | v90(constB45, 2)) <=> ((~v90(constB44, 2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, 2))),
% 53.76/33.95 inference(rewrite,[status(thm)],[])).
% 53.76/33.95 tff(8520,plain,
% 53.76/33.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB44, constB45)) | (~v90(constB44, 2)) | v100(constB45) | v90(constB45, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB44, 2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, 2)))),
% 53.76/33.95 inference(monotonicity,[status(thm)],[8519])).
% 53.76/33.95 tff(8521,plain,
% 53.76/33.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB44, constB45)) | (~v90(constB44, 2)) | v100(constB45) | v90(constB45, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB44, 2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, 2))),
% 53.76/33.95 inference(transitivity,[status(thm)],[8520, 8518])).
% 53.76/33.95 tff(8522,plain,
% 53.76/33.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB44, constB45)) | (~v90(constB44, 2)) | v100(constB45) | v90(constB45, 2))),
% 53.76/33.95 inference(quant_inst,[status(thm)],[])).
% 53.76/33.95 tff(8523,plain,
% 53.76/33.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB44, 2)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, 2)),
% 53.76/33.95 inference(modus_ponens,[status(thm)],[8522, 8521])).
% 53.76/33.95 tff(8524,plain,
% 53.76/33.95 ((~v90(constB44, 2)) | v100(constB45) | v90(constB45, 2)),
% 53.76/33.95 inference(unit_resolution,[status(thm)],[8523, 2174, 8505])).
% 53.76/33.95 tff(8525,plain,
% 53.76/33.95 ((~v90(constB44, 2)) | v90(constB45, 2)),
% 53.76/33.95 inference(unit_resolution,[status(thm)],[8524, 8517])).
% 53.76/33.95 tff(8526,plain,
% 53.76/33.95 (v90(constB45, 2)),
% 53.76/33.95 inference(unit_resolution,[status(thm)],[8525, 8499])).
% 53.76/33.95 tff(8527,plain,
% 53.76/33.95 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB43)) | (~v130(constB43, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB43)) | (~v130(constB43, 1)))),
% 53.76/33.95 inference(rewrite,[status(thm)],[])).
% 53.76/33.95 tff(8528,plain,
% 53.76/33.95 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB43)) | (~v130(constB43, 1)))),
% 53.76/33.95 inference(quant_inst,[status(thm)],[])).
% 53.76/33.95 tff(8529,plain,
% 53.76/33.95 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB43)) | (~v130(constB43, 1))),
% 53.76/33.95 inference(modus_ponens,[status(thm)],[8528, 8527])).
% 53.76/33.95 tff(8530,plain,
% 53.76/33.95 (~v130(constB43, 1)),
% 53.76/33.95 inference(unit_resolution,[status(thm)],[8529, 2366, 8402])).
% 53.76/33.95 tff(8531,plain,
% 53.76/33.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB43, 1)) | v26(constB43) | v130(constB43, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB43, 1)) | v26(constB43) | v130(constB43, 1))),
% 53.76/33.95 inference(rewrite,[status(thm)],[])).
% 53.76/33.95 tff(8532,plain,
% 53.76/33.95 ((v26(constB43) | v130(constB43, 1) | (~v127(constB43, 1))) <=> ((~v127(constB43, 1)) | v26(constB43) | v130(constB43, 1))),
% 53.76/33.95 inference(rewrite,[status(thm)],[])).
% 53.76/33.95 tff(8533,plain,
% 53.76/33.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB43) | v130(constB43, 1) | (~v127(constB43, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB43, 1)) | v26(constB43) | v130(constB43, 1)))),
% 53.76/33.95 inference(monotonicity,[status(thm)],[8532])).
% 53.76/33.95 tff(8534,plain,
% 53.76/33.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB43) | v130(constB43, 1) | (~v127(constB43, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB43, 1)) | v26(constB43) | v130(constB43, 1))),
% 53.76/33.95 inference(transitivity,[status(thm)],[8533, 8531])).
% 53.76/33.95 tff(8535,plain,
% 53.76/33.95 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB43) | v130(constB43, 1) | (~v127(constB43, 1)))),
% 53.76/33.95 inference(quant_inst,[status(thm)],[])).
% 53.76/33.95 tff(8536,plain,
% 53.76/33.95 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB43, 1)) | v26(constB43) | v130(constB43, 1)),
% 53.76/33.95 inference(modus_ponens,[status(thm)],[8535, 8534])).
% 53.76/33.95 tff(8537,plain,
% 53.76/33.95 ((~v127(constB43, 1)) | v130(constB43, 1)),
% 53.76/33.95 inference(unit_resolution,[status(thm)],[8536, 1276, 8428])).
% 53.76/33.95 tff(8538,plain,
% 53.76/33.95 (~v127(constB43, 1)),
% 53.76/33.95 inference(unit_resolution,[status(thm)],[8537, 8530])).
% 53.76/33.95 tff(8539,plain,
% 53.76/33.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB43, constB44)) | v127(constB43, 1) | (~v129(constB44, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB43, constB44)) | v127(constB43, 1) | (~v129(constB44, 1)))),
% 53.76/33.95 inference(rewrite,[status(thm)],[])).
% 53.76/33.95 tff(8540,plain,
% 53.76/33.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB43, constB44)) | v127(constB43, 1) | (~v129(constB44, 1)))),
% 53.76/33.95 inference(quant_inst,[status(thm)],[])).
% 53.76/33.95 tff(8541,plain,
% 53.76/33.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB43, constB44)) | v127(constB43, 1) | (~v129(constB44, 1))),
% 53.76/33.95 inference(modus_ponens,[status(thm)],[8540, 8539])).
% 53.76/33.95 tff(8542,plain,
% 53.76/33.95 (v127(constB43, 1) | (~v129(constB44, 1))),
% 53.76/33.95 inference(unit_resolution,[status(thm)],[8541, 1294, 8443])).
% 53.76/33.95 tff(8543,plain,
% 53.76/33.95 (~v129(constB44, 1)),
% 53.76/33.95 inference(unit_resolution,[status(thm)],[8542, 8538])).
% 53.76/33.95 tff(8544,plain,
% 53.76/33.95 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB44, 1)) | v129(constB44, 1) | (~v100(constB44)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB44, 1)) | v129(constB44, 1) | (~v100(constB44)))),
% 53.76/33.95 inference(rewrite,[status(thm)],[])).
% 53.76/33.95 tff(8545,plain,
% 53.76/33.95 (((~v90(constB44, 1)) | (~v100(constB44)) | v129(constB44, 1)) <=> ((~v90(constB44, 1)) | v129(constB44, 1) | (~v100(constB44)))),
% 53.76/33.95 inference(rewrite,[status(thm)],[])).
% 53.76/33.95 tff(8546,plain,
% 53.76/33.95 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB44, 1)) | (~v100(constB44)) | v129(constB44, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB44, 1)) | v129(constB44, 1) | (~v100(constB44))))),
% 53.76/33.95 inference(monotonicity,[status(thm)],[8545])).
% 53.76/33.95 tff(8547,plain,
% 53.76/33.95 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB44, 1)) | (~v100(constB44)) | v129(constB44, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB44, 1)) | v129(constB44, 1) | (~v100(constB44)))),
% 53.76/33.95 inference(transitivity,[status(thm)],[8546, 8544])).
% 53.76/33.95 tff(8548,plain,
% 53.76/33.95 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB44, 1)) | (~v100(constB44)) | v129(constB44, 1))),
% 53.76/33.95 inference(quant_inst,[status(thm)],[])).
% 53.76/33.95 tff(8549,plain,
% 53.76/33.95 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB44, 1)) | v129(constB44, 1) | (~v100(constB44))),
% 53.76/33.95 inference(modus_ponens,[status(thm)],[8548, 8547])).
% 53.76/33.95 tff(8550,plain,
% 53.76/33.95 ((~v90(constB44, 1)) | (~v100(constB44))),
% 53.76/33.95 inference(unit_resolution,[status(thm)],[8549, 1309, 8543])).
% 53.76/33.95 tff(8551,plain,
% 53.76/33.95 (~v90(constB44, 1)),
% 53.76/33.95 inference(unit_resolution,[status(thm)],[8550, 8477])).
% 53.76/33.95 tff(8552,plain,
% 53.76/33.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB44, 1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB44, 1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, 1)))),
% 53.76/33.95 inference(rewrite,[status(thm)],[])).
% 53.76/33.95 tff(8553,plain,
% 53.76/33.95 (((~nextState(constB44, constB45)) | v90(constB44, 1) | v100(constB45) | (~v90(constB45, 1))) <=> (v90(constB44, 1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, 1)))),
% 53.76/33.95 inference(rewrite,[status(thm)],[])).
% 53.76/33.95 tff(8554,plain,
% 53.76/33.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB44, constB45)) | v90(constB44, 1) | v100(constB45) | (~v90(constB45, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB44, 1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, 1))))),
% 53.76/33.95 inference(monotonicity,[status(thm)],[8553])).
% 53.76/33.95 tff(8555,plain,
% 53.76/33.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB44, constB45)) | v90(constB44, 1) | v100(constB45) | (~v90(constB45, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB44, 1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, 1)))),
% 53.76/33.95 inference(transitivity,[status(thm)],[8554, 8552])).
% 53.76/33.95 tff(8556,plain,
% 53.76/33.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB44, constB45)) | v90(constB44, 1) | v100(constB45) | (~v90(constB45, 1)))),
% 53.76/33.95 inference(quant_inst,[status(thm)],[])).
% 53.76/33.95 tff(8557,plain,
% 53.76/33.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB44, 1) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, 1))),
% 53.76/33.95 inference(modus_ponens,[status(thm)],[8556, 8555])).
% 53.76/33.95 tff(8558,plain,
% 53.76/33.95 (v90(constB44, 1) | v100(constB45) | (~v90(constB45, 1))),
% 53.76/33.95 inference(unit_resolution,[status(thm)],[8557, 926, 8505])).
% 53.76/33.95 tff(8559,plain,
% 53.76/33.95 (v90(constB44, 1) | (~v90(constB45, 1))),
% 53.76/33.95 inference(unit_resolution,[status(thm)],[8558, 8517])).
% 53.76/33.95 tff(8560,plain,
% 53.76/33.95 (~v90(constB45, 1)),
% 53.76/33.95 inference(unit_resolution,[status(thm)],[8559, 8551])).
% 53.76/33.95 tff(8561,plain,
% 53.76/33.95 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB43)) | (~v130(constB43, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB43)) | (~v130(constB43, 0)))),
% 53.76/33.95 inference(rewrite,[status(thm)],[])).
% 53.76/33.95 tff(8562,plain,
% 53.76/33.95 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB43)) | (~v130(constB43, 0)))),
% 53.76/33.95 inference(quant_inst,[status(thm)],[])).
% 53.76/33.95 tff(8563,plain,
% 53.76/33.95 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB43)) | (~v130(constB43, 0))),
% 53.76/33.95 inference(modus_ponens,[status(thm)],[8562, 8561])).
% 53.76/33.95 tff(8564,plain,
% 53.76/33.95 (~v130(constB43, 0)),
% 53.76/33.95 inference(unit_resolution,[status(thm)],[8563, 2407, 8402])).
% 53.76/33.95 tff(8565,plain,
% 53.76/33.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB43, 0)) | v26(constB43) | v130(constB43, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB43, 0)) | v26(constB43) | v130(constB43, 0))),
% 53.76/33.95 inference(rewrite,[status(thm)],[])).
% 53.76/33.95 tff(8566,plain,
% 53.76/33.95 ((v26(constB43) | v130(constB43, 0) | (~v127(constB43, 0))) <=> ((~v127(constB43, 0)) | v26(constB43) | v130(constB43, 0))),
% 53.76/33.95 inference(rewrite,[status(thm)],[])).
% 53.76/33.95 tff(8567,plain,
% 53.76/33.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB43) | v130(constB43, 0) | (~v127(constB43, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB43, 0)) | v26(constB43) | v130(constB43, 0)))),
% 53.76/33.95 inference(monotonicity,[status(thm)],[8566])).
% 53.76/33.95 tff(8568,plain,
% 53.76/33.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB43) | v130(constB43, 0) | (~v127(constB43, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB43, 0)) | v26(constB43) | v130(constB43, 0))),
% 53.76/33.95 inference(transitivity,[status(thm)],[8567, 8565])).
% 53.76/33.95 tff(8569,plain,
% 53.76/33.95 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB43) | v130(constB43, 0) | (~v127(constB43, 0)))),
% 53.76/33.95 inference(quant_inst,[status(thm)],[])).
% 53.76/33.95 tff(8570,plain,
% 53.76/33.95 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB43, 0)) | v26(constB43) | v130(constB43, 0)),
% 53.76/33.95 inference(modus_ponens,[status(thm)],[8569, 8568])).
% 53.76/33.95 tff(8571,plain,
% 53.76/33.95 ((~v127(constB43, 0)) | v130(constB43, 0)),
% 53.76/33.95 inference(unit_resolution,[status(thm)],[8570, 1671, 8428])).
% 53.76/33.95 tff(8572,plain,
% 53.76/33.95 (~v127(constB43, 0)),
% 53.76/33.95 inference(unit_resolution,[status(thm)],[8571, 8564])).
% 53.76/33.95 tff(8573,plain,
% 53.76/33.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB43, constB44)) | v127(constB43, 0) | (~v129(constB44, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB43, constB44)) | v127(constB43, 0) | (~v129(constB44, 0)))),
% 53.76/33.95 inference(rewrite,[status(thm)],[])).
% 53.76/33.95 tff(8574,plain,
% 53.76/33.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB43, constB44)) | v127(constB43, 0) | (~v129(constB44, 0)))),
% 53.76/33.95 inference(quant_inst,[status(thm)],[])).
% 53.76/33.95 tff(8575,plain,
% 53.76/33.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB43, constB44)) | v127(constB43, 0) | (~v129(constB44, 0))),
% 53.76/33.95 inference(modus_ponens,[status(thm)],[8574, 8573])).
% 53.76/33.95 tff(8576,plain,
% 53.76/33.95 (v127(constB43, 0) | (~v129(constB44, 0))),
% 53.76/33.95 inference(unit_resolution,[status(thm)],[8575, 1689, 8443])).
% 53.76/33.95 tff(8577,plain,
% 53.76/33.95 (~v129(constB44, 0)),
% 53.76/33.95 inference(unit_resolution,[status(thm)],[8576, 8572])).
% 53.76/33.95 tff(8578,plain,
% 53.76/33.95 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB44, 0)) | v129(constB44, 0) | (~v100(constB44)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB44, 0)) | v129(constB44, 0) | (~v100(constB44)))),
% 53.76/33.95 inference(rewrite,[status(thm)],[])).
% 53.76/33.95 tff(8579,plain,
% 53.76/33.95 (((~v90(constB44, 0)) | (~v100(constB44)) | v129(constB44, 0)) <=> ((~v90(constB44, 0)) | v129(constB44, 0) | (~v100(constB44)))),
% 53.76/33.95 inference(rewrite,[status(thm)],[])).
% 53.76/33.95 tff(8580,plain,
% 53.76/33.95 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB44, 0)) | (~v100(constB44)) | v129(constB44, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB44, 0)) | v129(constB44, 0) | (~v100(constB44))))),
% 53.76/33.95 inference(monotonicity,[status(thm)],[8579])).
% 53.76/33.95 tff(8581,plain,
% 53.76/33.95 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB44, 0)) | (~v100(constB44)) | v129(constB44, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB44, 0)) | v129(constB44, 0) | (~v100(constB44)))),
% 53.76/33.95 inference(transitivity,[status(thm)],[8580, 8578])).
% 53.76/33.95 tff(8582,plain,
% 53.76/33.95 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB44, 0)) | (~v100(constB44)) | v129(constB44, 0))),
% 53.76/33.95 inference(quant_inst,[status(thm)],[])).
% 53.76/33.95 tff(8583,plain,
% 53.76/33.95 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB44, 0)) | v129(constB44, 0) | (~v100(constB44))),
% 53.76/33.95 inference(modus_ponens,[status(thm)],[8582, 8581])).
% 53.76/33.95 tff(8584,plain,
% 53.76/33.95 ((~v90(constB44, 0)) | (~v100(constB44))),
% 53.76/33.95 inference(unit_resolution,[status(thm)],[8583, 1704, 8577])).
% 53.76/33.96 tff(8585,plain,
% 53.76/33.96 (~v90(constB44, 0)),
% 53.76/33.96 inference(unit_resolution,[status(thm)],[8584, 8477])).
% 53.76/33.96 tff(8586,plain,
% 53.76/33.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB44, 0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB44, 0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, 0)))),
% 53.76/33.96 inference(rewrite,[status(thm)],[])).
% 53.76/33.96 tff(8587,plain,
% 53.76/33.96 (((~nextState(constB44, constB45)) | v90(constB44, 0) | v100(constB45) | (~v90(constB45, 0))) <=> (v90(constB44, 0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, 0)))),
% 53.76/33.96 inference(rewrite,[status(thm)],[])).
% 53.76/33.96 tff(8588,plain,
% 53.76/33.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB44, constB45)) | v90(constB44, 0) | v100(constB45) | (~v90(constB45, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB44, 0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, 0))))),
% 53.76/33.96 inference(monotonicity,[status(thm)],[8587])).
% 53.76/33.96 tff(8589,plain,
% 53.76/33.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB44, constB45)) | v90(constB44, 0) | v100(constB45) | (~v90(constB45, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB44, 0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, 0)))),
% 53.76/33.96 inference(transitivity,[status(thm)],[8588, 8586])).
% 53.76/33.96 tff(8590,plain,
% 53.76/33.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB44, constB45)) | v90(constB44, 0) | v100(constB45) | (~v90(constB45, 0)))),
% 53.76/33.96 inference(quant_inst,[status(thm)],[])).
% 53.76/33.96 tff(8591,plain,
% 53.76/33.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB44, 0) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, 0))),
% 53.76/33.96 inference(modus_ponens,[status(thm)],[8590, 8589])).
% 53.76/33.96 tff(8592,plain,
% 53.76/33.96 (v90(constB44, 0) | v100(constB45) | (~v90(constB45, 0))),
% 53.76/33.96 inference(unit_resolution,[status(thm)],[8591, 947, 8505])).
% 53.76/33.96 tff(8593,plain,
% 53.76/33.96 (v90(constB44, 0) | (~v90(constB45, 0))),
% 53.76/33.96 inference(unit_resolution,[status(thm)],[8592, 8517])).
% 53.76/33.96 tff(8594,plain,
% 53.76/33.96 (~v90(constB45, 0)),
% 53.76/33.96 inference(unit_resolution,[status(thm)],[8593, 8585])).
% 53.76/33.96 tff(8595,plain,
% 53.76/33.96 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB45, 0) | v90(constB45, 1) | (~v90(constB45, 2)) | v123(constB45))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB45, 0) | v90(constB45, 1) | (~v90(constB45, 2)) | v123(constB45))),
% 53.76/33.96 inference(rewrite,[status(thm)],[])).
% 53.76/33.96 tff(8596,plain,
% 53.76/33.96 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB45, 0) | v90(constB45, 1) | (~v90(constB45, 2)) | v123(constB45))),
% 53.76/33.96 inference(quant_inst,[status(thm)],[])).
% 53.76/33.96 tff(8597,plain,
% 53.76/33.96 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB45, 0) | v90(constB45, 1) | (~v90(constB45, 2)) | v123(constB45)),
% 53.76/33.96 inference(modus_ponens,[status(thm)],[8596, 8595])).
% 53.76/33.96 tff(8598,plain,
% 53.76/33.96 (v123(constB45)),
% 53.76/33.96 inference(unit_resolution,[status(thm)],[8597, 2308, 8594, 8560, 8526])).
% 53.76/33.96 tff(8599,plain,
% 53.76/33.96 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB45)) | v115(constB45))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB45)) | v115(constB45))),
% 53.79/33.96 inference(rewrite,[status(thm)],[])).
% 53.79/33.96 tff(8600,plain,
% 53.79/33.96 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB45)) | v115(constB45))),
% 53.79/33.96 inference(quant_inst,[status(thm)],[])).
% 53.79/33.96 tff(8601,plain,
% 53.79/33.96 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB45)) | v115(constB45)),
% 53.79/33.96 inference(modus_ponens,[status(thm)],[8600, 8599])).
% 53.79/33.96 tff(8602,plain,
% 53.79/33.96 (v115(constB45)),
% 53.79/33.96 inference(unit_resolution,[status(thm)],[8601, 2291, 8598])).
% 53.79/33.96 tff(8603,plain,
% 53.79/33.96 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB45) | (~v115(constB45)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB45) | (~v115(constB45)))),
% 53.79/33.96 inference(rewrite,[status(thm)],[])).
% 53.79/33.96 tff(8604,plain,
% 53.79/33.96 (((~v115(constB45)) | v114(constB45)) <=> (v114(constB45) | (~v115(constB45)))),
% 53.79/33.96 inference(rewrite,[status(thm)],[])).
% 53.79/33.96 tff(8605,plain,
% 53.79/33.96 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB45)) | v114(constB45))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB45) | (~v115(constB45))))),
% 53.79/33.96 inference(monotonicity,[status(thm)],[8604])).
% 53.79/33.96 tff(8606,plain,
% 53.79/33.96 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB45)) | v114(constB45))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB45) | (~v115(constB45)))),
% 53.79/33.96 inference(transitivity,[status(thm)],[8605, 8603])).
% 53.79/33.96 tff(8607,plain,
% 53.79/33.96 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB45)) | v114(constB45))),
% 53.79/33.96 inference(quant_inst,[status(thm)],[])).
% 53.79/33.96 tff(8608,plain,
% 53.79/33.96 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB45) | (~v115(constB45))),
% 53.79/33.96 inference(modus_ponens,[status(thm)],[8607, 8606])).
% 53.79/33.96 tff(8609,plain,
% 53.79/33.96 (v114(constB45)),
% 53.79/33.96 inference(unit_resolution,[status(thm)],[8608, 1035, 8602])).
% 53.79/33.96 tff(8610,plain,
% 53.79/33.96 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB45) | (~v114(constB45)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB45) | (~v114(constB45)))),
% 53.79/33.96 inference(rewrite,[status(thm)],[])).
% 53.79/33.96 tff(8611,plain,
% 53.79/33.96 (((~v114(constB45)) | v113(constB45)) <=> (v113(constB45) | (~v114(constB45)))),
% 53.79/33.96 inference(rewrite,[status(thm)],[])).
% 53.79/33.96 tff(8612,plain,
% 53.79/33.96 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB45)) | v113(constB45))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB45) | (~v114(constB45))))),
% 53.79/33.96 inference(monotonicity,[status(thm)],[8611])).
% 53.79/33.96 tff(8613,plain,
% 53.79/33.96 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB45)) | v113(constB45))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB45) | (~v114(constB45)))),
% 53.79/33.96 inference(transitivity,[status(thm)],[8612, 8610])).
% 53.79/33.96 tff(8614,plain,
% 53.79/33.96 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB45)) | v113(constB45))),
% 53.79/33.96 inference(quant_inst,[status(thm)],[])).
% 53.79/33.96 tff(8615,plain,
% 53.79/33.96 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB45) | (~v114(constB45))),
% 53.79/33.96 inference(modus_ponens,[status(thm)],[8614, 8613])).
% 53.79/33.96 tff(8616,plain,
% 53.79/33.96 (v113(constB45)),
% 53.79/33.96 inference(unit_resolution,[status(thm)],[8615, 1049, 8609])).
% 53.79/33.96 tff(8617,assumption,(v26(constB45)), introduced(assumption)).
% 53.79/33.96 tff(8618,plain,
% 53.79/33.96 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB45))),
% 53.79/33.96 inference(quant_inst,[status(thm)],[])).
% 53.79/33.96 tff(8619,plain,
% 53.79/33.96 ($false),
% 53.79/33.96 inference(unit_resolution,[status(thm)],[8618, 828, 8617])).
% 53.79/33.96 tff(8620,plain,(~v26(constB45)), inference(lemma,lemma(discharge,[]))).
% 53.79/33.96 tff(8621,plain,
% 53.79/33.96 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB45) | (~v113(constB45)) | v112(constB45))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB45) | (~v113(constB45)) | v112(constB45))),
% 53.79/33.96 inference(rewrite,[status(thm)],[])).
% 53.79/33.96 tff(8622,plain,
% 53.79/33.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB45) | (~v113(constB45)) | v112(constB45))),
% 53.79/33.96 inference(quant_inst,[status(thm)],[])).
% 53.79/33.96 tff(8623,plain,
% 53.79/33.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB45) | (~v113(constB45)) | v112(constB45)),
% 53.79/33.96 inference(modus_ponens,[status(thm)],[8622, 8621])).
% 53.79/33.96 tff(8624,plain,
% 53.79/33.96 ((~v113(constB45)) | v112(constB45)),
% 53.79/33.96 inference(unit_resolution,[status(thm)],[8623, 1063, 8620])).
% 53.79/33.96 tff(8625,plain,
% 53.79/33.96 (v112(constB45)),
% 53.79/33.96 inference(unit_resolution,[status(thm)],[8624, 8616])).
% 53.79/33.96 tff(8626,plain,
% 53.79/33.96 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB45) | (~v112(constB45)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB45) | (~v112(constB45)))),
% 53.79/33.96 inference(rewrite,[status(thm)],[])).
% 53.79/33.96 tff(8627,plain,
% 53.79/33.96 (((~v112(constB45)) | v108(constB45)) <=> (v108(constB45) | (~v112(constB45)))),
% 53.79/33.96 inference(rewrite,[status(thm)],[])).
% 53.79/33.96 tff(8628,plain,
% 53.79/33.96 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB45)) | v108(constB45))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB45) | (~v112(constB45))))),
% 53.79/33.96 inference(monotonicity,[status(thm)],[8627])).
% 53.79/33.96 tff(8629,plain,
% 53.79/33.96 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB45)) | v108(constB45))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB45) | (~v112(constB45)))),
% 53.79/33.96 inference(transitivity,[status(thm)],[8628, 8626])).
% 53.79/33.96 tff(8630,plain,
% 53.79/33.96 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB45)) | v108(constB45))),
% 53.79/33.96 inference(quant_inst,[status(thm)],[])).
% 53.79/33.96 tff(8631,plain,
% 53.79/33.96 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB45) | (~v112(constB45))),
% 53.79/33.96 inference(modus_ponens,[status(thm)],[8630, 8629])).
% 53.79/33.96 tff(8632,plain,
% 53.79/33.96 (v108(constB45)),
% 53.79/33.96 inference(unit_resolution,[status(thm)],[8631, 1075, 8625])).
% 53.79/33.96 tff(8633,plain,
% 53.79/33.96 (nextState(constB45, constB46) <=> nextState(constB45, constB46)),
% 53.79/33.96 inference(rewrite,[status(thm)],[])).
% 53.79/33.96 tff(8634,axiom,(nextState(constB45, constB46)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_45_1')).
% 53.79/33.96 tff(8635,plain,
% 53.79/33.96 (nextState(constB45, constB46)),
% 53.79/33.96 inference(modus_ponens,[status(thm)],[8634, 8633])).
% 53.79/33.96 tff(8636,plain,
% 53.79/33.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45)))),
% 53.79/33.96 inference(rewrite,[status(thm)],[])).
% 53.79/33.96 tff(8637,plain,
% 53.79/33.96 (((~nextState(constB45, constB46)) | (~v108(constB45)) | v110(constB46)) <=> ((~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45)))),
% 53.79/33.96 inference(rewrite,[status(thm)],[])).
% 53.79/33.96 tff(8638,plain,
% 53.79/33.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB45, constB46)) | (~v108(constB45)) | v110(constB46))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45))))),
% 53.79/33.96 inference(monotonicity,[status(thm)],[8637])).
% 53.79/33.96 tff(8639,plain,
% 53.79/33.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB45, constB46)) | (~v108(constB45)) | v110(constB46))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45)))),
% 53.79/33.96 inference(transitivity,[status(thm)],[8638, 8636])).
% 53.79/33.96 tff(8640,plain,
% 53.79/33.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB45, constB46)) | (~v108(constB45)) | v110(constB46))),
% 53.79/33.96 inference(quant_inst,[status(thm)],[])).
% 53.79/33.96 tff(8641,plain,
% 53.79/33.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB45, constB46)) | v110(constB46) | (~v108(constB45))),
% 53.79/33.96 inference(modus_ponens,[status(thm)],[8640, 8639])).
% 53.79/33.96 tff(8642,plain,
% 53.79/33.96 (v110(constB46) | (~v108(constB45))),
% 53.79/33.96 inference(unit_resolution,[status(thm)],[8641, 1095, 8635])).
% 53.79/33.96 tff(8643,plain,
% 53.79/33.96 (v110(constB46)),
% 53.79/33.96 inference(unit_resolution,[status(thm)],[8642, 8632])).
% 53.79/33.96 tff(8644,plain,
% 53.79/33.96 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB45) | (~nextState(constB45, constB46)) | (~v104(constB46)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB45) | (~nextState(constB45, constB46)) | (~v104(constB46)))),
% 53.79/33.96 inference(rewrite,[status(thm)],[])).
% 53.79/33.96 tff(8645,plain,
% 53.79/33.96 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB45) | (~nextState(constB45, constB46)) | (~v104(constB46)))),
% 53.79/33.96 inference(quant_inst,[status(thm)],[])).
% 53.79/33.96 tff(8646,plain,
% 53.79/33.96 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB45) | (~nextState(constB45, constB46)) | (~v104(constB46))),
% 53.79/33.96 inference(modus_ponens,[status(thm)],[8645, 8644])).
% 53.79/33.96 tff(8647,plain,
% 53.79/33.96 (~v104(constB46)),
% 53.79/33.96 inference(unit_resolution,[status(thm)],[8646, 1113, 8635, 8502])).
% 53.79/33.96 tff(8648,plain,
% 53.79/33.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB45, constB46)) | v102(constB46) | v104(constB46))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB45, constB46)) | v102(constB46) | v104(constB46))),
% 53.79/33.96 inference(rewrite,[status(thm)],[])).
% 53.79/33.96 tff(8649,plain,
% 53.79/33.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB45, constB46)) | v102(constB46) | v104(constB46))),
% 53.79/33.96 inference(quant_inst,[status(thm)],[])).
% 53.79/33.96 tff(8650,plain,
% 53.79/33.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB45, constB46)) | v102(constB46) | v104(constB46)),
% 53.79/33.96 inference(modus_ponens,[status(thm)],[8649, 8648])).
% 53.79/33.96 tff(8651,plain,
% 53.79/33.96 (v102(constB46) | v104(constB46)),
% 53.79/33.96 inference(unit_resolution,[status(thm)],[8650, 1127, 8635])).
% 53.79/33.96 tff(8652,plain,
% 53.79/33.96 (v102(constB46)),
% 53.79/33.96 inference(unit_resolution,[status(thm)],[8651, 8647])).
% 53.79/33.96 tff(8653,plain,
% 53.79/33.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB45, constB46)) | v101(constB46) | (~v102(constB46)) | (~v1(constB46)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB45, constB46)) | v101(constB46) | (~v102(constB46)) | (~v1(constB46)))),
% 53.79/33.96 inference(rewrite,[status(thm)],[])).
% 53.79/33.96 tff(8654,plain,
% 53.79/33.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB45, constB46)) | v101(constB46) | (~v102(constB46)) | (~v1(constB46)))),
% 53.79/33.96 inference(quant_inst,[status(thm)],[])).
% 53.79/33.96 tff(8655,plain,
% 53.79/33.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB45, constB46)) | v101(constB46) | (~v102(constB46)) | (~v1(constB46))),
% 53.79/33.96 inference(modus_ponens,[status(thm)],[8654, 8653])).
% 53.79/33.96 tff(8656,plain,
% 53.79/33.96 (v101(constB46) | (~v102(constB46))),
% 53.79/33.96 inference(unit_resolution,[status(thm)],[8655, 1145, 8635, 695])).
% 53.79/33.96 tff(8657,plain,
% 53.79/33.96 (v101(constB46)),
% 53.79/33.96 inference(unit_resolution,[status(thm)],[8656, 8652])).
% 53.79/33.96 tff(8658,plain,
% 53.79/33.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46)))),
% 53.79/33.96 inference(rewrite,[status(thm)],[])).
% 53.79/33.96 tff(8659,plain,
% 53.79/33.96 (((~nextState(constB45, constB46)) | (~v101(constB46)) | (~v110(constB46)) | v100(constB46)) <=> ((~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46)))),
% 53.79/33.96 inference(rewrite,[status(thm)],[])).
% 53.79/33.96 tff(8660,plain,
% 53.79/33.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB45, constB46)) | (~v101(constB46)) | (~v110(constB46)) | v100(constB46))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46))))),
% 53.79/33.96 inference(monotonicity,[status(thm)],[8659])).
% 53.79/33.96 tff(8661,plain,
% 53.79/33.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB45, constB46)) | (~v101(constB46)) | (~v110(constB46)) | v100(constB46))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46)))),
% 53.79/33.96 inference(transitivity,[status(thm)],[8660, 8658])).
% 53.79/33.96 tff(8662,plain,
% 53.79/33.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB45, constB46)) | (~v101(constB46)) | (~v110(constB46)) | v100(constB46))),
% 53.79/33.96 inference(quant_inst,[status(thm)],[])).
% 53.79/33.96 tff(8663,plain,
% 53.79/33.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB45, constB46)) | v100(constB46) | (~v101(constB46)) | (~v110(constB46))),
% 53.79/33.96 inference(modus_ponens,[status(thm)],[8662, 8661])).
% 53.79/33.96 tff(8664,plain,
% 53.79/33.96 (v100(constB46) | (~v101(constB46)) | (~v110(constB46))),
% 53.79/33.96 inference(unit_resolution,[status(thm)],[8663, 1160, 8635])).
% 53.79/33.96 tff(8665,plain,
% 53.79/33.96 (v100(constB46) | (~v110(constB46))),
% 53.79/33.96 inference(unit_resolution,[status(thm)],[8664, 8657])).
% 53.79/33.96 tff(8666,plain,
% 53.79/33.96 (v100(constB46)),
% 53.79/33.96 inference(unit_resolution,[status(thm)],[8665, 8643])).
% 53.79/33.96 tff(8667,plain,
% 53.79/33.96 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB45)) | v130(constB45, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB45)) | v130(constB45, 2))),
% 53.79/33.96 inference(rewrite,[status(thm)],[])).
% 53.79/33.96 tff(8668,plain,
% 53.79/33.96 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB45)) | v130(constB45, 2))),
% 53.79/33.96 inference(quant_inst,[status(thm)],[])).
% 53.79/33.96 tff(8669,plain,
% 53.79/33.96 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB45)) | v130(constB45, 2)),
% 53.79/33.96 inference(modus_ponens,[status(thm)],[8668, 8667])).
% 53.79/33.96 tff(8670,plain,
% 53.79/33.96 (v130(constB45, 2)),
% 53.79/33.96 inference(unit_resolution,[status(thm)],[8669, 2525, 8598])).
% 53.79/33.96 tff(8671,plain,
% 53.79/33.96 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB45) | (~v130(constB45, 2)) | v127(constB45, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB45) | (~v130(constB45, 2)) | v127(constB45, 2))),
% 53.79/33.96 inference(rewrite,[status(thm)],[])).
% 53.79/33.96 tff(8672,plain,
% 53.79/33.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB45) | (~v130(constB45, 2)) | v127(constB45, 2))),
% 53.79/33.96 inference(quant_inst,[status(thm)],[])).
% 53.79/33.96 tff(8673,plain,
% 53.79/33.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB45) | (~v130(constB45, 2)) | v127(constB45, 2)),
% 53.79/33.96 inference(modus_ponens,[status(thm)],[8672, 8671])).
% 53.79/33.96 tff(8674,plain,
% 53.79/33.96 ((~v130(constB45, 2)) | v127(constB45, 2)),
% 53.79/33.96 inference(unit_resolution,[status(thm)],[8673, 1981, 8620])).
% 53.79/33.96 tff(8675,plain,
% 53.79/33.96 (v127(constB45, 2)),
% 53.79/33.96 inference(unit_resolution,[status(thm)],[8674, 8670])).
% 53.79/33.96 tff(8676,plain,
% 53.79/33.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB45, constB46)) | (~v127(constB45, 2)) | v129(constB46, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB45, constB46)) | (~v127(constB45, 2)) | v129(constB46, 2))),
% 53.79/33.96 inference(rewrite,[status(thm)],[])).
% 53.79/33.96 tff(8677,plain,
% 53.79/33.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB45, constB46)) | (~v127(constB45, 2)) | v129(constB46, 2))),
% 53.79/33.96 inference(quant_inst,[status(thm)],[])).
% 53.79/33.96 tff(8678,plain,
% 53.79/33.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB45, constB46)) | (~v127(constB45, 2)) | v129(constB46, 2)),
% 53.79/33.96 inference(modus_ponens,[status(thm)],[8677, 8676])).
% 53.79/33.96 tff(8679,plain,
% 53.79/33.96 ((~v127(constB45, 2)) | v129(constB46, 2)),
% 53.79/33.96 inference(unit_resolution,[status(thm)],[8678, 1999, 8635])).
% 53.79/33.96 tff(8680,plain,
% 53.79/33.96 (v129(constB46, 2)),
% 53.79/33.96 inference(unit_resolution,[status(thm)],[8679, 8675])).
% 53.79/33.96 tff(8681,plain,
% 53.79/33.96 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB46, 2) | (~v129(constB46, 2)) | (~v100(constB46)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB46, 2) | (~v129(constB46, 2)) | (~v100(constB46)))),
% 53.79/33.96 inference(rewrite,[status(thm)],[])).
% 53.79/33.96 tff(8682,plain,
% 53.79/33.96 ((v90(constB46, 2) | (~v100(constB46)) | (~v129(constB46, 2))) <=> (v90(constB46, 2) | (~v129(constB46, 2)) | (~v100(constB46)))),
% 53.79/33.96 inference(rewrite,[status(thm)],[])).
% 53.79/33.96 tff(8683,plain,
% 53.79/33.96 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB46, 2) | (~v100(constB46)) | (~v129(constB46, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB46, 2) | (~v129(constB46, 2)) | (~v100(constB46))))),
% 53.79/33.96 inference(monotonicity,[status(thm)],[8682])).
% 53.79/33.96 tff(8684,plain,
% 53.79/33.96 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB46, 2) | (~v100(constB46)) | (~v129(constB46, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB46, 2) | (~v129(constB46, 2)) | (~v100(constB46)))),
% 53.79/33.96 inference(transitivity,[status(thm)],[8683, 8681])).
% 53.79/33.96 tff(8685,plain,
% 53.79/33.96 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB46, 2) | (~v100(constB46)) | (~v129(constB46, 2)))),
% 53.79/33.96 inference(quant_inst,[status(thm)],[])).
% 53.79/33.96 tff(8686,plain,
% 53.79/33.96 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB46, 2) | (~v129(constB46, 2)) | (~v100(constB46))),
% 53.79/33.96 inference(modus_ponens,[status(thm)],[8685, 8684])).
% 53.79/33.96 tff(8687,plain,
% 53.79/33.96 (v90(constB46, 2) | (~v100(constB46))),
% 53.79/33.96 inference(unit_resolution,[status(thm)],[8686, 2324, 8680])).
% 53.79/33.96 tff(8688,plain,
% 53.79/33.96 (v90(constB46, 2)),
% 53.79/33.96 inference(unit_resolution,[status(thm)],[8687, 8666])).
% 53.79/33.96 tff(8689,plain,
% 53.79/33.96 ((~v1(constB47)) <=> (~v1(constB47))),
% 53.79/33.96 inference(rewrite,[status(thm)],[])).
% 53.79/33.96 tff(8690,axiom,(~v1(constB47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_47_1_1')).
% 53.79/33.96 tff(8691,plain,
% 53.79/33.96 (~v1(constB47)),
% 53.79/33.96 inference(modus_ponens,[status(thm)],[8690, 8689])).
% 53.79/33.96 tff(8692,plain,
% 53.79/33.96 (nextState(constB46, constB47) <=> nextState(constB46, constB47)),
% 53.79/33.96 inference(rewrite,[status(thm)],[])).
% 53.79/33.96 tff(8693,axiom,(nextState(constB46, constB47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_46_1')).
% 53.79/33.96 tff(8694,plain,
% 53.79/33.96 (nextState(constB46, constB47)),
% 53.79/33.96 inference(modus_ponens,[status(thm)],[8693, 8692])).
% 53.79/33.96 tff(8695,plain,
% 53.79/33.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47)))),
% 53.79/33.96 inference(rewrite,[status(thm)],[])).
% 53.79/33.96 tff(8696,plain,
% 53.79/33.96 (((~nextState(constB46, constB47)) | (~v101(constB47)) | v1(constB47)) <=> (v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47)))),
% 53.79/33.96 inference(rewrite,[status(thm)],[])).
% 53.79/33.96 tff(8697,plain,
% 53.79/33.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB46, constB47)) | (~v101(constB47)) | v1(constB47))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47))))),
% 53.79/33.96 inference(monotonicity,[status(thm)],[8696])).
% 53.79/33.96 tff(8698,plain,
% 53.79/33.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB46, constB47)) | (~v101(constB47)) | v1(constB47))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47)))),
% 53.79/33.96 inference(transitivity,[status(thm)],[8697, 8695])).
% 53.79/33.96 tff(8699,plain,
% 53.79/33.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB46, constB47)) | (~v101(constB47)) | v1(constB47))),
% 53.79/33.96 inference(quant_inst,[status(thm)],[])).
% 53.79/33.96 tff(8700,plain,
% 53.79/33.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB47) | (~nextState(constB46, constB47)) | (~v101(constB47))),
% 53.79/33.96 inference(modus_ponens,[status(thm)],[8699, 8698])).
% 53.79/33.96 tff(8701,plain,
% 53.79/33.96 (~v101(constB47)),
% 53.79/33.96 inference(unit_resolution,[status(thm)],[8700, 873, 8694, 8691])).
% 53.79/33.96 tff(8702,plain,
% 53.79/33.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB46, constB47)) | v101(constB47) | (~v100(constB47)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB46, constB47)) | v101(constB47) | (~v100(constB47)))),
% 53.79/33.96 inference(rewrite,[status(thm)],[])).
% 53.79/33.96 tff(8703,plain,
% 53.79/33.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB46, constB47)) | v101(constB47) | (~v100(constB47)))),
% 53.79/33.96 inference(quant_inst,[status(thm)],[])).
% 53.79/33.96 tff(8704,plain,
% 53.79/33.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB46, constB47)) | v101(constB47) | (~v100(constB47))),
% 53.79/33.96 inference(modus_ponens,[status(thm)],[8703, 8702])).
% 53.79/33.96 tff(8705,plain,
% 53.79/33.96 (v101(constB47) | (~v100(constB47))),
% 53.79/33.96 inference(unit_resolution,[status(thm)],[8704, 890, 8694])).
% 53.79/33.96 tff(8706,plain,
% 53.79/33.96 (~v100(constB47)),
% 53.79/33.96 inference(unit_resolution,[status(thm)],[8705, 8701])).
% 53.79/33.96 tff(8707,plain,
% 53.79/33.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB46, 2)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB46, 2)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, 2))),
% 53.79/33.96 inference(rewrite,[status(thm)],[])).
% 53.79/33.96 tff(8708,plain,
% 53.79/33.96 (((~nextState(constB46, constB47)) | (~v90(constB46, 2)) | v100(constB47) | v90(constB47, 2)) <=> ((~v90(constB46, 2)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, 2))),
% 53.79/33.96 inference(rewrite,[status(thm)],[])).
% 53.79/33.96 tff(8709,plain,
% 53.79/33.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB46, constB47)) | (~v90(constB46, 2)) | v100(constB47) | v90(constB47, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB46, 2)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, 2)))),
% 53.79/33.96 inference(monotonicity,[status(thm)],[8708])).
% 53.79/33.96 tff(8710,plain,
% 53.79/33.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB46, constB47)) | (~v90(constB46, 2)) | v100(constB47) | v90(constB47, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB46, 2)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, 2))),
% 53.79/33.96 inference(transitivity,[status(thm)],[8709, 8707])).
% 53.79/33.96 tff(8711,plain,
% 53.79/33.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB46, constB47)) | (~v90(constB46, 2)) | v100(constB47) | v90(constB47, 2))),
% 53.79/33.96 inference(quant_inst,[status(thm)],[])).
% 53.79/33.96 tff(8712,plain,
% 53.79/33.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB46, 2)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, 2)),
% 53.79/33.96 inference(modus_ponens,[status(thm)],[8711, 8710])).
% 53.79/33.96 tff(8713,plain,
% 53.79/33.96 ((~v90(constB46, 2)) | v100(constB47) | v90(constB47, 2)),
% 53.79/33.96 inference(unit_resolution,[status(thm)],[8712, 2174, 8694])).
% 53.79/33.96 tff(8714,plain,
% 53.79/33.96 ((~v90(constB46, 2)) | v90(constB47, 2)),
% 53.79/33.96 inference(unit_resolution,[status(thm)],[8713, 8706])).
% 53.79/33.96 tff(8715,plain,
% 53.79/33.96 (v90(constB47, 2)),
% 53.79/33.96 inference(unit_resolution,[status(thm)],[8714, 8688])).
% 53.79/33.96 tff(8716,plain,
% 53.79/33.96 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB45)) | (~v130(constB45, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB45)) | (~v130(constB45, 1)))),
% 53.79/33.96 inference(rewrite,[status(thm)],[])).
% 53.79/33.96 tff(8717,plain,
% 53.79/33.96 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB45)) | (~v130(constB45, 1)))),
% 53.79/33.96 inference(quant_inst,[status(thm)],[])).
% 53.79/33.96 tff(8718,plain,
% 53.79/33.96 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB45)) | (~v130(constB45, 1))),
% 53.79/33.96 inference(modus_ponens,[status(thm)],[8717, 8716])).
% 53.79/33.96 tff(8719,plain,
% 53.79/33.96 (~v130(constB45, 1)),
% 53.79/33.96 inference(unit_resolution,[status(thm)],[8718, 2581, 8598])).
% 53.79/33.96 tff(8720,plain,
% 53.79/33.96 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB45, 1)) | v26(constB45) | v130(constB45, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB45, 1)) | v26(constB45) | v130(constB45, 1))),
% 53.79/33.96 inference(rewrite,[status(thm)],[])).
% 53.79/33.96 tff(8721,plain,
% 53.79/33.96 ((v26(constB45) | v130(constB45, 1) | (~v127(constB45, 1))) <=> ((~v127(constB45, 1)) | v26(constB45) | v130(constB45, 1))),
% 53.79/33.96 inference(rewrite,[status(thm)],[])).
% 53.79/33.96 tff(8722,plain,
% 53.79/33.96 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB45) | v130(constB45, 1) | (~v127(constB45, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB45, 1)) | v26(constB45) | v130(constB45, 1)))),
% 53.79/33.96 inference(monotonicity,[status(thm)],[8721])).
% 53.79/33.96 tff(8723,plain,
% 53.79/33.96 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB45) | v130(constB45, 1) | (~v127(constB45, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB45, 1)) | v26(constB45) | v130(constB45, 1))),
% 53.79/33.96 inference(transitivity,[status(thm)],[8722, 8720])).
% 53.79/33.96 tff(8724,plain,
% 53.79/33.96 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB45) | v130(constB45, 1) | (~v127(constB45, 1)))),
% 53.79/33.96 inference(quant_inst,[status(thm)],[])).
% 53.79/33.96 tff(8725,plain,
% 53.79/33.96 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB45, 1)) | v26(constB45) | v130(constB45, 1)),
% 53.79/33.96 inference(modus_ponens,[status(thm)],[8724, 8723])).
% 53.79/33.96 tff(8726,plain,
% 53.79/33.96 ((~v127(constB45, 1)) | v130(constB45, 1)),
% 53.79/33.96 inference(unit_resolution,[status(thm)],[8725, 1276, 8620])).
% 53.79/33.96 tff(8727,plain,
% 53.79/33.96 (~v127(constB45, 1)),
% 53.79/33.96 inference(unit_resolution,[status(thm)],[8726, 8719])).
% 53.79/33.96 tff(8728,plain,
% 53.79/33.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB45, constB46)) | v127(constB45, 1) | (~v129(constB46, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB45, constB46)) | v127(constB45, 1) | (~v129(constB46, 1)))),
% 53.79/33.96 inference(rewrite,[status(thm)],[])).
% 53.79/33.96 tff(8729,plain,
% 53.79/33.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB45, constB46)) | v127(constB45, 1) | (~v129(constB46, 1)))),
% 53.79/33.96 inference(quant_inst,[status(thm)],[])).
% 53.79/33.96 tff(8730,plain,
% 53.79/33.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB45, constB46)) | v127(constB45, 1) | (~v129(constB46, 1))),
% 53.79/33.96 inference(modus_ponens,[status(thm)],[8729, 8728])).
% 53.79/33.96 tff(8731,plain,
% 53.79/33.96 (v127(constB45, 1) | (~v129(constB46, 1))),
% 53.79/33.96 inference(unit_resolution,[status(thm)],[8730, 1294, 8635])).
% 53.79/33.96 tff(8732,plain,
% 53.79/33.96 (~v129(constB46, 1)),
% 53.79/33.96 inference(unit_resolution,[status(thm)],[8731, 8727])).
% 53.79/33.96 tff(8733,plain,
% 53.79/33.96 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB46, 1)) | v129(constB46, 1) | (~v100(constB46)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB46, 1)) | v129(constB46, 1) | (~v100(constB46)))),
% 53.79/33.96 inference(rewrite,[status(thm)],[])).
% 53.79/33.96 tff(8734,plain,
% 53.79/33.96 (((~v90(constB46, 1)) | (~v100(constB46)) | v129(constB46, 1)) <=> ((~v90(constB46, 1)) | v129(constB46, 1) | (~v100(constB46)))),
% 53.79/33.96 inference(rewrite,[status(thm)],[])).
% 53.79/33.96 tff(8735,plain,
% 53.79/33.96 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB46, 1)) | (~v100(constB46)) | v129(constB46, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB46, 1)) | v129(constB46, 1) | (~v100(constB46))))),
% 53.79/33.96 inference(monotonicity,[status(thm)],[8734])).
% 53.79/33.96 tff(8736,plain,
% 53.79/33.96 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB46, 1)) | (~v100(constB46)) | v129(constB46, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB46, 1)) | v129(constB46, 1) | (~v100(constB46)))),
% 53.79/33.96 inference(transitivity,[status(thm)],[8735, 8733])).
% 53.79/33.96 tff(8737,plain,
% 53.79/33.96 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB46, 1)) | (~v100(constB46)) | v129(constB46, 1))),
% 53.79/33.96 inference(quant_inst,[status(thm)],[])).
% 53.79/33.96 tff(8738,plain,
% 53.79/33.96 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB46, 1)) | v129(constB46, 1) | (~v100(constB46))),
% 53.79/33.96 inference(modus_ponens,[status(thm)],[8737, 8736])).
% 53.79/33.96 tff(8739,plain,
% 53.79/33.96 ((~v90(constB46, 1)) | (~v100(constB46))),
% 53.79/33.96 inference(unit_resolution,[status(thm)],[8738, 1309, 8732])).
% 53.79/33.96 tff(8740,plain,
% 53.79/33.96 (~v90(constB46, 1)),
% 53.79/33.96 inference(unit_resolution,[status(thm)],[8739, 8666])).
% 53.79/33.96 tff(8741,plain,
% 53.79/33.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB46, 1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB46, 1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, 1)))),
% 53.79/33.96 inference(rewrite,[status(thm)],[])).
% 53.79/33.96 tff(8742,plain,
% 53.79/33.96 (((~nextState(constB46, constB47)) | v90(constB46, 1) | v100(constB47) | (~v90(constB47, 1))) <=> (v90(constB46, 1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, 1)))),
% 53.79/33.96 inference(rewrite,[status(thm)],[])).
% 53.79/33.96 tff(8743,plain,
% 53.79/33.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB46, constB47)) | v90(constB46, 1) | v100(constB47) | (~v90(constB47, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB46, 1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, 1))))),
% 53.79/33.96 inference(monotonicity,[status(thm)],[8742])).
% 53.79/33.96 tff(8744,plain,
% 53.79/33.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB46, constB47)) | v90(constB46, 1) | v100(constB47) | (~v90(constB47, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB46, 1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, 1)))),
% 53.79/33.96 inference(transitivity,[status(thm)],[8743, 8741])).
% 53.79/33.96 tff(8745,plain,
% 53.79/33.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB46, constB47)) | v90(constB46, 1) | v100(constB47) | (~v90(constB47, 1)))),
% 53.79/33.96 inference(quant_inst,[status(thm)],[])).
% 53.79/33.96 tff(8746,plain,
% 53.79/33.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB46, 1) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, 1))),
% 53.79/33.96 inference(modus_ponens,[status(thm)],[8745, 8744])).
% 53.79/33.96 tff(8747,plain,
% 53.79/33.96 (v90(constB46, 1) | v100(constB47) | (~v90(constB47, 1))),
% 53.79/33.96 inference(unit_resolution,[status(thm)],[8746, 926, 8694])).
% 53.79/33.96 tff(8748,plain,
% 53.79/33.96 (v90(constB46, 1) | (~v90(constB47, 1))),
% 53.79/33.96 inference(unit_resolution,[status(thm)],[8747, 8706])).
% 53.79/33.96 tff(8749,plain,
% 53.79/33.96 (~v90(constB47, 1)),
% 53.79/33.96 inference(unit_resolution,[status(thm)],[8748, 8740])).
% 53.79/33.96 tff(8750,plain,
% 53.79/33.96 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB45)) | v130(constB45, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB45)) | v130(constB45, 0))),
% 53.79/33.96 inference(rewrite,[status(thm)],[])).
% 53.79/33.96 tff(8751,plain,
% 53.79/33.96 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB45)) | v130(constB45, 0))),
% 53.79/33.96 inference(quant_inst,[status(thm)],[])).
% 53.79/33.96 tff(8752,plain,
% 53.79/33.96 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB45)) | v130(constB45, 0)),
% 53.79/33.96 inference(modus_ponens,[status(thm)],[8751, 8750])).
% 53.79/33.96 tff(8753,plain,
% 53.79/33.96 (v130(constB45, 0)),
% 53.79/33.96 inference(unit_resolution,[status(thm)],[8752, 2622, 8598])).
% 53.79/33.96 tff(8754,plain,
% 53.79/33.96 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB45) | (~v130(constB45, 0)) | v127(constB45, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB45) | (~v130(constB45, 0)) | v127(constB45, 0))),
% 53.79/33.96 inference(rewrite,[status(thm)],[])).
% 53.79/33.96 tff(8755,plain,
% 53.79/33.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB45) | (~v130(constB45, 0)) | v127(constB45, 0))),
% 53.79/33.96 inference(quant_inst,[status(thm)],[])).
% 53.79/33.96 tff(8756,plain,
% 53.79/33.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB45) | (~v130(constB45, 0)) | v127(constB45, 0)),
% 53.79/33.96 inference(modus_ponens,[status(thm)],[8755, 8754])).
% 53.79/33.96 tff(8757,plain,
% 53.79/33.96 ((~v130(constB45, 0)) | v127(constB45, 0)),
% 53.79/33.96 inference(unit_resolution,[status(thm)],[8756, 1347, 8620])).
% 53.79/33.96 tff(8758,plain,
% 53.79/33.96 (v127(constB45, 0)),
% 53.79/33.96 inference(unit_resolution,[status(thm)],[8757, 8753])).
% 53.79/33.96 tff(8759,plain,
% 53.79/33.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB45, constB46)) | (~v127(constB45, 0)) | v129(constB46, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB45, constB46)) | (~v127(constB45, 0)) | v129(constB46, 0))),
% 53.79/33.96 inference(rewrite,[status(thm)],[])).
% 53.79/33.96 tff(8760,plain,
% 53.79/33.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB45, constB46)) | (~v127(constB45, 0)) | v129(constB46, 0))),
% 53.79/33.96 inference(quant_inst,[status(thm)],[])).
% 53.79/33.96 tff(8761,plain,
% 53.79/33.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB45, constB46)) | (~v127(constB45, 0)) | v129(constB46, 0)),
% 53.79/33.96 inference(modus_ponens,[status(thm)],[8760, 8759])).
% 53.79/33.96 tff(8762,plain,
% 53.79/33.96 ((~v127(constB45, 0)) | v129(constB46, 0)),
% 53.79/33.96 inference(unit_resolution,[status(thm)],[8761, 1362, 8635])).
% 53.79/33.96 tff(8763,plain,
% 53.79/33.96 (v129(constB46, 0)),
% 53.79/33.96 inference(unit_resolution,[status(thm)],[8762, 8758])).
% 53.79/33.96 tff(8764,plain,
% 53.79/33.96 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB46, 0) | (~v129(constB46, 0)) | (~v100(constB46)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB46, 0) | (~v129(constB46, 0)) | (~v100(constB46)))),
% 53.79/33.96 inference(rewrite,[status(thm)],[])).
% 53.79/33.96 tff(8765,plain,
% 53.79/33.96 ((v90(constB46, 0) | (~v100(constB46)) | (~v129(constB46, 0))) <=> (v90(constB46, 0) | (~v129(constB46, 0)) | (~v100(constB46)))),
% 53.79/33.96 inference(rewrite,[status(thm)],[])).
% 53.79/33.96 tff(8766,plain,
% 53.79/33.96 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB46, 0) | (~v100(constB46)) | (~v129(constB46, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB46, 0) | (~v129(constB46, 0)) | (~v100(constB46))))),
% 53.79/33.96 inference(monotonicity,[status(thm)],[8765])).
% 53.79/33.96 tff(8767,plain,
% 53.79/33.96 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB46, 0) | (~v100(constB46)) | (~v129(constB46, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB46, 0) | (~v129(constB46, 0)) | (~v100(constB46)))),
% 53.79/33.96 inference(transitivity,[status(thm)],[8766, 8764])).
% 53.79/33.96 tff(8768,plain,
% 53.79/33.96 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB46, 0) | (~v100(constB46)) | (~v129(constB46, 0)))),
% 53.79/33.96 inference(quant_inst,[status(thm)],[])).
% 53.79/33.97 tff(8769,plain,
% 53.79/33.97 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB46, 0) | (~v129(constB46, 0)) | (~v100(constB46))),
% 53.79/33.97 inference(modus_ponens,[status(thm)],[8768, 8767])).
% 53.79/33.97 tff(8770,plain,
% 53.79/33.97 (v90(constB46, 0) | (~v100(constB46))),
% 53.79/33.97 inference(unit_resolution,[status(thm)],[8769, 1377, 8763])).
% 53.79/33.97 tff(8771,plain,
% 53.79/33.97 (v90(constB46, 0)),
% 53.79/33.97 inference(unit_resolution,[status(thm)],[8770, 8666])).
% 53.79/33.97 tff(8772,plain,
% 53.79/33.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB46, 0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB46, 0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, 0))),
% 53.79/33.97 inference(rewrite,[status(thm)],[])).
% 53.79/33.97 tff(8773,plain,
% 53.79/33.97 (((~nextState(constB46, constB47)) | (~v90(constB46, 0)) | v100(constB47) | v90(constB47, 0)) <=> ((~v90(constB46, 0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, 0))),
% 53.79/33.97 inference(rewrite,[status(thm)],[])).
% 53.79/33.97 tff(8774,plain,
% 53.79/33.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB46, constB47)) | (~v90(constB46, 0)) | v100(constB47) | v90(constB47, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB46, 0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, 0)))),
% 53.79/33.97 inference(monotonicity,[status(thm)],[8773])).
% 53.79/33.97 tff(8775,plain,
% 53.79/33.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB46, constB47)) | (~v90(constB46, 0)) | v100(constB47) | v90(constB47, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB46, 0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, 0))),
% 53.79/33.97 inference(transitivity,[status(thm)],[8774, 8772])).
% 53.79/33.97 tff(8776,plain,
% 53.79/33.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB46, constB47)) | (~v90(constB46, 0)) | v100(constB47) | v90(constB47, 0))),
% 53.79/33.97 inference(quant_inst,[status(thm)],[])).
% 53.79/33.97 tff(8777,plain,
% 53.79/33.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB46, 0)) | (~nextState(constB46, constB47)) | v100(constB47) | v90(constB47, 0)),
% 53.79/33.97 inference(modus_ponens,[status(thm)],[8776, 8775])).
% 53.79/33.97 tff(8778,plain,
% 53.79/33.97 ((~v90(constB46, 0)) | v100(constB47) | v90(constB47, 0)),
% 53.79/33.97 inference(unit_resolution,[status(thm)],[8777, 1395, 8694])).
% 53.79/33.97 tff(8779,plain,
% 53.79/33.97 ((~v90(constB46, 0)) | v90(constB47, 0)),
% 53.79/33.97 inference(unit_resolution,[status(thm)],[8778, 8706])).
% 53.79/33.97 tff(8780,plain,
% 53.79/33.97 (v90(constB47, 0)),
% 53.79/33.97 inference(unit_resolution,[status(thm)],[8779, 8771])).
% 53.79/33.97 tff(8781,plain,
% 53.79/33.97 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB47, 0)) | v90(constB47, 1) | (~v90(constB47, 2)) | v124(constB47))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB47, 0)) | v90(constB47, 1) | (~v90(constB47, 2)) | v124(constB47))),
% 53.79/33.97 inference(rewrite,[status(thm)],[])).
% 53.79/33.97 tff(8782,plain,
% 53.79/33.97 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB47, 0)) | v90(constB47, 1) | (~v90(constB47, 2)) | v124(constB47))),
% 53.79/33.97 inference(quant_inst,[status(thm)],[])).
% 53.79/33.97 tff(8783,plain,
% 53.79/33.97 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB47, 0)) | v90(constB47, 1) | (~v90(constB47, 2)) | v124(constB47)),
% 53.79/33.97 inference(modus_ponens,[status(thm)],[8782, 8781])).
% 53.79/33.97 tff(8784,plain,
% 53.79/33.97 (v124(constB47)),
% 53.79/33.97 inference(unit_resolution,[status(thm)],[8783, 2663, 8780, 8749, 8715])).
% 53.79/33.97 tff(8785,plain,
% 53.79/33.97 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB47) | (~v124(constB47)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB47) | (~v124(constB47)))),
% 53.79/33.97 inference(rewrite,[status(thm)],[])).
% 53.79/33.97 tff(8786,plain,
% 53.79/33.97 (((~v124(constB47)) | v114(constB47)) <=> (v114(constB47) | (~v124(constB47)))),
% 53.79/33.97 inference(rewrite,[status(thm)],[])).
% 53.79/33.97 tff(8787,plain,
% 53.79/33.97 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB47)) | v114(constB47))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB47) | (~v124(constB47))))),
% 53.79/33.97 inference(monotonicity,[status(thm)],[8786])).
% 53.79/33.97 tff(8788,plain,
% 53.79/33.97 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB47)) | v114(constB47))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB47) | (~v124(constB47)))),
% 53.79/33.97 inference(transitivity,[status(thm)],[8787, 8785])).
% 53.79/33.97 tff(8789,plain,
% 53.79/33.97 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB47)) | v114(constB47))),
% 53.79/33.97 inference(quant_inst,[status(thm)],[])).
% 53.79/33.97 tff(8790,plain,
% 53.79/33.97 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB47) | (~v124(constB47))),
% 53.79/33.97 inference(modus_ponens,[status(thm)],[8789, 8788])).
% 53.79/33.97 tff(8791,plain,
% 53.79/33.97 (v114(constB47)),
% 53.79/33.97 inference(unit_resolution,[status(thm)],[8790, 2674, 8784])).
% 53.79/33.97 tff(8792,plain,
% 53.79/33.97 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB47) | (~v114(constB47)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB47) | (~v114(constB47)))),
% 53.79/33.97 inference(rewrite,[status(thm)],[])).
% 53.79/33.97 tff(8793,plain,
% 53.79/33.97 (((~v114(constB47)) | v113(constB47)) <=> (v113(constB47) | (~v114(constB47)))),
% 53.79/33.97 inference(rewrite,[status(thm)],[])).
% 53.79/33.97 tff(8794,plain,
% 53.79/33.97 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB47)) | v113(constB47))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB47) | (~v114(constB47))))),
% 53.79/33.97 inference(monotonicity,[status(thm)],[8793])).
% 53.79/33.97 tff(8795,plain,
% 53.79/33.97 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB47)) | v113(constB47))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB47) | (~v114(constB47)))),
% 53.79/33.97 inference(transitivity,[status(thm)],[8794, 8792])).
% 53.79/33.97 tff(8796,plain,
% 53.79/33.97 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB47)) | v113(constB47))),
% 53.79/33.97 inference(quant_inst,[status(thm)],[])).
% 53.79/33.97 tff(8797,plain,
% 53.79/33.97 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB47) | (~v114(constB47))),
% 53.79/33.97 inference(modus_ponens,[status(thm)],[8796, 8795])).
% 53.79/33.97 tff(8798,plain,
% 53.79/33.97 (v113(constB47)),
% 53.79/33.97 inference(unit_resolution,[status(thm)],[8797, 1049, 8791])).
% 53.79/33.97 tff(8799,assumption,(v26(constB47)), introduced(assumption)).
% 53.79/33.97 tff(8800,plain,
% 53.79/33.97 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB47))),
% 53.79/33.97 inference(quant_inst,[status(thm)],[])).
% 53.79/33.97 tff(8801,plain,
% 53.79/33.97 ($false),
% 53.79/33.97 inference(unit_resolution,[status(thm)],[8800, 828, 8799])).
% 53.79/33.97 tff(8802,plain,(~v26(constB47)), inference(lemma,lemma(discharge,[]))).
% 53.79/33.97 tff(8803,plain,
% 53.79/33.97 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB47) | v112(constB47) | (~v113(constB47)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB47) | v112(constB47) | (~v113(constB47)))),
% 53.79/33.97 inference(rewrite,[status(thm)],[])).
% 53.79/33.97 tff(8804,plain,
% 53.79/33.97 ((v26(constB47) | (~v113(constB47)) | v112(constB47)) <=> (v26(constB47) | v112(constB47) | (~v113(constB47)))),
% 53.79/33.97 inference(rewrite,[status(thm)],[])).
% 53.79/33.97 tff(8805,plain,
% 53.79/33.97 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB47) | (~v113(constB47)) | v112(constB47))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB47) | v112(constB47) | (~v113(constB47))))),
% 53.79/33.97 inference(monotonicity,[status(thm)],[8804])).
% 53.79/33.97 tff(8806,plain,
% 53.79/33.97 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB47) | (~v113(constB47)) | v112(constB47))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB47) | v112(constB47) | (~v113(constB47)))),
% 53.79/33.97 inference(transitivity,[status(thm)],[8805, 8803])).
% 53.79/33.97 tff(8807,plain,
% 53.79/33.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB47) | (~v113(constB47)) | v112(constB47))),
% 53.79/33.97 inference(quant_inst,[status(thm)],[])).
% 53.79/33.97 tff(8808,plain,
% 53.79/33.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB47) | v112(constB47) | (~v113(constB47))),
% 53.79/33.97 inference(modus_ponens,[status(thm)],[8807, 8806])).
% 53.79/33.97 tff(8809,plain,
% 53.79/33.97 (v112(constB47) | (~v113(constB47))),
% 53.79/33.97 inference(unit_resolution,[status(thm)],[8808, 1063, 8802])).
% 53.79/33.97 tff(8810,plain,
% 53.79/33.97 (v112(constB47)),
% 53.79/33.97 inference(unit_resolution,[status(thm)],[8809, 8798])).
% 53.79/33.97 tff(8811,plain,
% 53.79/33.97 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB47) | (~v112(constB47)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB47) | (~v112(constB47)))),
% 53.79/33.97 inference(rewrite,[status(thm)],[])).
% 53.79/33.97 tff(8812,plain,
% 53.79/33.97 (((~v112(constB47)) | v108(constB47)) <=> (v108(constB47) | (~v112(constB47)))),
% 53.79/33.97 inference(rewrite,[status(thm)],[])).
% 53.79/33.97 tff(8813,plain,
% 53.79/33.97 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB47)) | v108(constB47))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB47) | (~v112(constB47))))),
% 53.79/33.97 inference(monotonicity,[status(thm)],[8812])).
% 53.79/33.97 tff(8814,plain,
% 53.79/33.97 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB47)) | v108(constB47))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB47) | (~v112(constB47)))),
% 53.79/33.97 inference(transitivity,[status(thm)],[8813, 8811])).
% 53.79/33.97 tff(8815,plain,
% 53.79/33.97 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB47)) | v108(constB47))),
% 53.79/33.97 inference(quant_inst,[status(thm)],[])).
% 53.79/33.97 tff(8816,plain,
% 53.79/33.97 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB47) | (~v112(constB47))),
% 53.79/33.97 inference(modus_ponens,[status(thm)],[8815, 8814])).
% 53.79/33.97 tff(8817,plain,
% 53.79/33.97 (v108(constB47)),
% 53.79/33.97 inference(unit_resolution,[status(thm)],[8816, 1075, 8810])).
% 53.79/33.97 tff(8818,plain,
% 53.79/33.97 (nextState(constB47, constB48) <=> nextState(constB47, constB48)),
% 53.79/33.97 inference(rewrite,[status(thm)],[])).
% 53.79/33.97 tff(8819,axiom,(nextState(constB47, constB48)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_47_1')).
% 53.79/33.97 tff(8820,plain,
% 53.79/33.97 (nextState(constB47, constB48)),
% 53.79/33.97 inference(modus_ponens,[status(thm)],[8819, 8818])).
% 53.79/33.97 tff(8821,plain,
% 53.79/33.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47)))),
% 53.79/33.97 inference(rewrite,[status(thm)],[])).
% 53.79/33.97 tff(8822,plain,
% 53.79/33.97 (((~nextState(constB47, constB48)) | (~v108(constB47)) | v110(constB48)) <=> ((~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47)))),
% 53.79/33.97 inference(rewrite,[status(thm)],[])).
% 53.79/33.97 tff(8823,plain,
% 53.79/33.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB47, constB48)) | (~v108(constB47)) | v110(constB48))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47))))),
% 53.79/33.97 inference(monotonicity,[status(thm)],[8822])).
% 53.79/33.97 tff(8824,plain,
% 53.79/33.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB47, constB48)) | (~v108(constB47)) | v110(constB48))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47)))),
% 53.79/33.97 inference(transitivity,[status(thm)],[8823, 8821])).
% 53.79/33.97 tff(8825,plain,
% 53.79/33.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB47, constB48)) | (~v108(constB47)) | v110(constB48))),
% 53.79/33.97 inference(quant_inst,[status(thm)],[])).
% 53.79/33.97 tff(8826,plain,
% 53.79/33.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB47, constB48)) | v110(constB48) | (~v108(constB47))),
% 53.79/33.97 inference(modus_ponens,[status(thm)],[8825, 8824])).
% 53.79/33.97 tff(8827,plain,
% 53.79/33.97 (v110(constB48) | (~v108(constB47))),
% 53.79/33.97 inference(unit_resolution,[status(thm)],[8826, 1095, 8820])).
% 53.79/33.97 tff(8828,plain,
% 53.79/33.97 (v110(constB48)),
% 53.79/33.97 inference(unit_resolution,[status(thm)],[8827, 8817])).
% 53.79/33.97 tff(8829,plain,
% 53.79/33.97 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB47) | (~nextState(constB47, constB48)) | (~v104(constB48)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB47) | (~nextState(constB47, constB48)) | (~v104(constB48)))),
% 53.79/33.97 inference(rewrite,[status(thm)],[])).
% 53.79/33.97 tff(8830,plain,
% 53.79/33.97 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB47) | (~nextState(constB47, constB48)) | (~v104(constB48)))),
% 53.79/33.97 inference(quant_inst,[status(thm)],[])).
% 53.79/33.97 tff(8831,plain,
% 53.79/33.97 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB47) | (~nextState(constB47, constB48)) | (~v104(constB48))),
% 53.79/33.97 inference(modus_ponens,[status(thm)],[8830, 8829])).
% 53.79/33.97 tff(8832,plain,
% 53.79/33.97 (~v104(constB48)),
% 53.79/33.97 inference(unit_resolution,[status(thm)],[8831, 1113, 8820, 8691])).
% 53.79/33.97 tff(8833,plain,
% 53.79/33.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB47, constB48)) | v102(constB48) | v104(constB48))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB47, constB48)) | v102(constB48) | v104(constB48))),
% 53.79/33.97 inference(rewrite,[status(thm)],[])).
% 53.79/33.97 tff(8834,plain,
% 53.79/33.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB47, constB48)) | v102(constB48) | v104(constB48))),
% 53.79/33.97 inference(quant_inst,[status(thm)],[])).
% 53.79/33.97 tff(8835,plain,
% 53.79/33.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB47, constB48)) | v102(constB48) | v104(constB48)),
% 53.79/33.97 inference(modus_ponens,[status(thm)],[8834, 8833])).
% 53.79/33.97 tff(8836,plain,
% 53.79/33.97 (v102(constB48) | v104(constB48)),
% 53.79/33.97 inference(unit_resolution,[status(thm)],[8835, 1127, 8820])).
% 53.79/33.97 tff(8837,plain,
% 53.79/33.97 (v102(constB48)),
% 53.79/33.97 inference(unit_resolution,[status(thm)],[8836, 8832])).
% 53.79/33.97 tff(8838,plain,
% 53.79/33.97 (v1(constB48) <=> v1(constB48)),
% 53.79/33.97 inference(rewrite,[status(thm)],[])).
% 53.79/33.97 tff(8839,axiom,(v1(constB48)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_48_1')).
% 53.79/33.97 tff(8840,plain,
% 53.79/33.97 (v1(constB48)),
% 53.79/33.97 inference(modus_ponens,[status(thm)],[8839, 8838])).
% 53.79/33.97 tff(8841,plain,
% 53.79/33.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB47, constB48)) | v101(constB48) | (~v102(constB48)) | (~v1(constB48)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB47, constB48)) | v101(constB48) | (~v102(constB48)) | (~v1(constB48)))),
% 53.79/33.97 inference(rewrite,[status(thm)],[])).
% 53.79/33.97 tff(8842,plain,
% 53.79/33.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB47, constB48)) | v101(constB48) | (~v102(constB48)) | (~v1(constB48)))),
% 53.79/33.97 inference(quant_inst,[status(thm)],[])).
% 53.79/33.97 tff(8843,plain,
% 53.79/33.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB47, constB48)) | v101(constB48) | (~v102(constB48)) | (~v1(constB48))),
% 53.79/33.97 inference(modus_ponens,[status(thm)],[8842, 8841])).
% 53.79/33.97 tff(8844,plain,
% 53.79/33.97 (v101(constB48) | (~v102(constB48))),
% 53.79/33.97 inference(unit_resolution,[status(thm)],[8843, 1145, 8820, 8840])).
% 53.79/33.97 tff(8845,plain,
% 53.79/33.97 (v101(constB48)),
% 53.79/33.97 inference(unit_resolution,[status(thm)],[8844, 8837])).
% 53.79/33.97 tff(8846,plain,
% 53.79/33.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48)))),
% 53.79/33.97 inference(rewrite,[status(thm)],[])).
% 53.79/33.97 tff(8847,plain,
% 53.79/33.97 (((~nextState(constB47, constB48)) | (~v101(constB48)) | (~v110(constB48)) | v100(constB48)) <=> ((~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48)))),
% 53.79/33.97 inference(rewrite,[status(thm)],[])).
% 53.79/33.97 tff(8848,plain,
% 53.79/33.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB47, constB48)) | (~v101(constB48)) | (~v110(constB48)) | v100(constB48))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48))))),
% 53.79/33.97 inference(monotonicity,[status(thm)],[8847])).
% 53.79/33.97 tff(8849,plain,
% 53.79/33.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB47, constB48)) | (~v101(constB48)) | (~v110(constB48)) | v100(constB48))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48)))),
% 53.79/33.97 inference(transitivity,[status(thm)],[8848, 8846])).
% 53.79/33.97 tff(8850,plain,
% 53.79/33.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB47, constB48)) | (~v101(constB48)) | (~v110(constB48)) | v100(constB48))),
% 53.79/33.97 inference(quant_inst,[status(thm)],[])).
% 53.79/33.97 tff(8851,plain,
% 53.79/33.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB47, constB48)) | v100(constB48) | (~v101(constB48)) | (~v110(constB48))),
% 53.79/33.97 inference(modus_ponens,[status(thm)],[8850, 8849])).
% 53.79/33.97 tff(8852,plain,
% 53.79/33.97 (v100(constB48) | (~v101(constB48)) | (~v110(constB48))),
% 53.79/33.97 inference(unit_resolution,[status(thm)],[8851, 1160, 8820])).
% 53.79/33.97 tff(8853,plain,
% 53.79/33.97 (v100(constB48) | (~v110(constB48))),
% 53.79/33.97 inference(unit_resolution,[status(thm)],[8852, 8845])).
% 53.79/33.97 tff(8854,plain,
% 53.79/33.97 (v100(constB48)),
% 53.79/33.97 inference(unit_resolution,[status(thm)],[8853, 8828])).
% 53.79/33.97 tff(8855,plain,
% 53.79/33.97 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB47)) | v130(constB47, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB47)) | v130(constB47, 2))),
% 53.79/33.97 inference(rewrite,[status(thm)],[])).
% 53.79/33.97 tff(8856,plain,
% 53.79/33.97 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB47)) | v130(constB47, 2))),
% 53.79/33.97 inference(quant_inst,[status(thm)],[])).
% 53.79/33.97 tff(8857,plain,
% 53.79/33.97 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB47)) | v130(constB47, 2)),
% 53.79/33.97 inference(modus_ponens,[status(thm)],[8856, 8855])).
% 53.79/33.97 tff(8858,plain,
% 53.79/33.97 (v130(constB47, 2)),
% 53.79/33.97 inference(unit_resolution,[status(thm)],[8857, 2741, 8784])).
% 53.79/33.97 tff(8859,plain,
% 53.79/33.97 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB47) | (~v130(constB47, 2)) | v127(constB47, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB47) | (~v130(constB47, 2)) | v127(constB47, 2))),
% 53.79/33.97 inference(rewrite,[status(thm)],[])).
% 53.79/33.97 tff(8860,plain,
% 53.79/33.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB47) | (~v130(constB47, 2)) | v127(constB47, 2))),
% 53.79/33.97 inference(quant_inst,[status(thm)],[])).
% 53.79/33.97 tff(8861,plain,
% 53.79/33.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB47) | (~v130(constB47, 2)) | v127(constB47, 2)),
% 53.79/33.97 inference(modus_ponens,[status(thm)],[8860, 8859])).
% 53.79/33.97 tff(8862,plain,
% 53.79/33.97 ((~v130(constB47, 2)) | v127(constB47, 2)),
% 53.79/33.97 inference(unit_resolution,[status(thm)],[8861, 1981, 8802])).
% 53.79/33.97 tff(8863,plain,
% 53.79/33.97 (v127(constB47, 2)),
% 53.79/33.97 inference(unit_resolution,[status(thm)],[8862, 8858])).
% 53.79/33.97 tff(8864,plain,
% 53.79/33.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB47, constB48)) | (~v127(constB47, 2)) | v129(constB48, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB47, constB48)) | (~v127(constB47, 2)) | v129(constB48, 2))),
% 53.79/33.97 inference(rewrite,[status(thm)],[])).
% 53.79/33.97 tff(8865,plain,
% 53.79/33.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB47, constB48)) | (~v127(constB47, 2)) | v129(constB48, 2))),
% 53.79/33.97 inference(quant_inst,[status(thm)],[])).
% 53.79/33.97 tff(8866,plain,
% 53.79/33.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB47, constB48)) | (~v127(constB47, 2)) | v129(constB48, 2)),
% 53.79/33.97 inference(modus_ponens,[status(thm)],[8865, 8864])).
% 53.79/33.97 tff(8867,plain,
% 53.79/33.97 ((~v127(constB47, 2)) | v129(constB48, 2)),
% 53.79/33.97 inference(unit_resolution,[status(thm)],[8866, 1999, 8820])).
% 53.79/33.97 tff(8868,plain,
% 53.79/33.97 (v129(constB48, 2)),
% 53.79/33.97 inference(unit_resolution,[status(thm)],[8867, 8863])).
% 53.79/33.97 tff(8869,plain,
% 53.79/33.97 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB48, 2) | (~v129(constB48, 2)) | (~v100(constB48)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB48, 2) | (~v129(constB48, 2)) | (~v100(constB48)))),
% 53.79/33.97 inference(rewrite,[status(thm)],[])).
% 53.79/33.97 tff(8870,plain,
% 53.79/33.97 ((v90(constB48, 2) | (~v100(constB48)) | (~v129(constB48, 2))) <=> (v90(constB48, 2) | (~v129(constB48, 2)) | (~v100(constB48)))),
% 53.79/33.97 inference(rewrite,[status(thm)],[])).
% 53.79/33.97 tff(8871,plain,
% 53.79/33.97 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB48, 2) | (~v100(constB48)) | (~v129(constB48, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB48, 2) | (~v129(constB48, 2)) | (~v100(constB48))))),
% 53.79/33.97 inference(monotonicity,[status(thm)],[8870])).
% 53.79/33.97 tff(8872,plain,
% 53.79/33.97 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB48, 2) | (~v100(constB48)) | (~v129(constB48, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB48, 2) | (~v129(constB48, 2)) | (~v100(constB48)))),
% 53.79/33.97 inference(transitivity,[status(thm)],[8871, 8869])).
% 53.79/33.97 tff(8873,plain,
% 53.79/33.97 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB48, 2) | (~v100(constB48)) | (~v129(constB48, 2)))),
% 53.79/33.97 inference(quant_inst,[status(thm)],[])).
% 53.79/33.97 tff(8874,plain,
% 53.79/33.97 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB48, 2) | (~v129(constB48, 2)) | (~v100(constB48))),
% 53.79/33.97 inference(modus_ponens,[status(thm)],[8873, 8872])).
% 53.79/33.97 tff(8875,plain,
% 53.79/33.97 (v90(constB48, 2) | (~v100(constB48))),
% 53.79/33.97 inference(unit_resolution,[status(thm)],[8874, 2324, 8868])).
% 53.79/33.97 tff(8876,plain,
% 53.79/33.97 (v90(constB48, 2)),
% 53.79/33.97 inference(unit_resolution,[status(thm)],[8875, 8854])).
% 53.79/33.97 tff(8877,plain,
% 53.79/33.97 ((~v1(constB49)) <=> (~v1(constB49))),
% 53.79/33.97 inference(rewrite,[status(thm)],[])).
% 53.79/33.97 tff(8878,axiom,(~v1(constB49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_49_1_1')).
% 53.79/33.97 tff(8879,plain,
% 53.79/33.97 (~v1(constB49)),
% 53.79/33.97 inference(modus_ponens,[status(thm)],[8878, 8877])).
% 53.79/33.97 tff(8880,plain,
% 53.79/33.97 (nextState(constB48, constB49) <=> nextState(constB48, constB49)),
% 53.79/33.97 inference(rewrite,[status(thm)],[])).
% 53.79/33.97 tff(8881,axiom,(nextState(constB48, constB49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_48_1')).
% 53.79/33.97 tff(8882,plain,
% 53.79/33.97 (nextState(constB48, constB49)),
% 53.79/33.97 inference(modus_ponens,[status(thm)],[8881, 8880])).
% 53.79/33.97 tff(8883,plain,
% 53.79/33.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49)))),
% 53.79/33.97 inference(rewrite,[status(thm)],[])).
% 53.79/33.97 tff(8884,plain,
% 53.79/33.97 (((~nextState(constB48, constB49)) | (~v101(constB49)) | v1(constB49)) <=> (v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49)))),
% 53.79/33.97 inference(rewrite,[status(thm)],[])).
% 53.79/33.97 tff(8885,plain,
% 53.79/33.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB48, constB49)) | (~v101(constB49)) | v1(constB49))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49))))),
% 53.79/33.97 inference(monotonicity,[status(thm)],[8884])).
% 53.79/33.97 tff(8886,plain,
% 53.79/33.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB48, constB49)) | (~v101(constB49)) | v1(constB49))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49)))),
% 53.79/33.97 inference(transitivity,[status(thm)],[8885, 8883])).
% 53.79/33.97 tff(8887,plain,
% 53.79/33.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB48, constB49)) | (~v101(constB49)) | v1(constB49))),
% 53.79/33.97 inference(quant_inst,[status(thm)],[])).
% 53.79/33.97 tff(8888,plain,
% 53.79/33.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB49) | (~nextState(constB48, constB49)) | (~v101(constB49))),
% 53.79/33.97 inference(modus_ponens,[status(thm)],[8887, 8886])).
% 53.79/33.97 tff(8889,plain,
% 53.79/33.97 (~v101(constB49)),
% 53.79/33.97 inference(unit_resolution,[status(thm)],[8888, 873, 8882, 8879])).
% 53.79/33.97 tff(8890,plain,
% 53.79/33.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB48, constB49)) | v101(constB49) | (~v100(constB49)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB48, constB49)) | v101(constB49) | (~v100(constB49)))),
% 53.79/33.97 inference(rewrite,[status(thm)],[])).
% 53.79/33.97 tff(8891,plain,
% 53.79/33.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB48, constB49)) | v101(constB49) | (~v100(constB49)))),
% 53.79/33.97 inference(quant_inst,[status(thm)],[])).
% 53.79/33.97 tff(8892,plain,
% 53.79/33.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB48, constB49)) | v101(constB49) | (~v100(constB49))),
% 53.79/33.97 inference(modus_ponens,[status(thm)],[8891, 8890])).
% 53.79/33.97 tff(8893,plain,
% 53.79/33.97 (v101(constB49) | (~v100(constB49))),
% 53.79/33.97 inference(unit_resolution,[status(thm)],[8892, 890, 8882])).
% 53.79/33.97 tff(8894,plain,
% 53.79/33.97 (~v100(constB49)),
% 53.79/33.97 inference(unit_resolution,[status(thm)],[8893, 8889])).
% 53.79/33.97 tff(8895,plain,
% 53.79/33.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB48, 2)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB48, 2)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, 2))),
% 53.79/33.97 inference(rewrite,[status(thm)],[])).
% 53.79/33.97 tff(8896,plain,
% 53.79/33.97 (((~nextState(constB48, constB49)) | (~v90(constB48, 2)) | v100(constB49) | v90(constB49, 2)) <=> ((~v90(constB48, 2)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, 2))),
% 53.79/33.97 inference(rewrite,[status(thm)],[])).
% 53.79/33.97 tff(8897,plain,
% 53.79/33.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB48, constB49)) | (~v90(constB48, 2)) | v100(constB49) | v90(constB49, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB48, 2)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, 2)))),
% 53.79/33.97 inference(monotonicity,[status(thm)],[8896])).
% 53.79/33.97 tff(8898,plain,
% 53.79/33.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB48, constB49)) | (~v90(constB48, 2)) | v100(constB49) | v90(constB49, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB48, 2)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, 2))),
% 53.79/33.97 inference(transitivity,[status(thm)],[8897, 8895])).
% 53.79/33.97 tff(8899,plain,
% 53.79/33.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB48, constB49)) | (~v90(constB48, 2)) | v100(constB49) | v90(constB49, 2))),
% 53.79/33.97 inference(quant_inst,[status(thm)],[])).
% 53.79/33.97 tff(8900,plain,
% 53.79/33.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB48, 2)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, 2)),
% 53.79/33.97 inference(modus_ponens,[status(thm)],[8899, 8898])).
% 53.79/33.97 tff(8901,plain,
% 53.79/33.97 ((~v90(constB48, 2)) | v100(constB49) | v90(constB49, 2)),
% 53.79/33.97 inference(unit_resolution,[status(thm)],[8900, 2174, 8882])).
% 53.79/33.97 tff(8902,plain,
% 53.79/33.97 ((~v90(constB48, 2)) | v90(constB49, 2)),
% 53.79/33.97 inference(unit_resolution,[status(thm)],[8901, 8894])).
% 53.79/33.97 tff(8903,plain,
% 53.79/33.97 (v90(constB49, 2)),
% 53.79/33.97 inference(unit_resolution,[status(thm)],[8902, 8876])).
% 53.79/33.97 tff(8904,plain,
% 53.79/33.97 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB49)) | (~v90(constB49, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB49)) | (~v90(constB49, 2)))),
% 53.79/33.97 inference(rewrite,[status(thm)],[])).
% 53.79/33.97 tff(8905,plain,
% 53.79/33.97 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB49)) | (~v90(constB49, 2)))),
% 53.79/33.97 inference(quant_inst,[status(thm)],[])).
% 53.79/33.97 tff(8906,plain,
% 53.79/33.97 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB49)) | (~v90(constB49, 2))),
% 53.79/33.97 inference(modus_ponens,[status(thm)],[8905, 8904])).
% 53.79/33.97 tff(8907,plain,
% 53.79/33.97 (~v121(constB49)),
% 53.79/33.97 inference(unit_resolution,[status(thm)],[8906, 2857, 8903])).
% 53.79/33.97 tff(8908,plain,
% 53.79/33.97 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB49)) | (~v90(constB49, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB49)) | (~v90(constB49, 2)))),
% 53.79/33.97 inference(rewrite,[status(thm)],[])).
% 53.79/33.97 tff(8909,plain,
% 53.79/33.97 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB49)) | (~v90(constB49, 2)))),
% 53.79/33.97 inference(quant_inst,[status(thm)],[])).
% 53.79/33.97 tff(8910,plain,
% 53.79/33.97 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB49)) | (~v90(constB49, 2))),
% 53.79/33.97 inference(modus_ponens,[status(thm)],[8909, 8908])).
% 53.79/33.97 tff(8911,plain,
% 53.79/33.97 (~v122(constB49)),
% 53.79/33.97 inference(unit_resolution,[status(thm)],[8910, 2797, 8903])).
% 53.79/33.97 tff(8912,plain,
% 53.79/33.97 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB47)) | v130(constB47, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB47)) | v130(constB47, 1))),
% 53.79/33.97 inference(rewrite,[status(thm)],[])).
% 53.79/33.97 tff(8913,plain,
% 53.79/33.97 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB47)) | v130(constB47, 1))),
% 53.79/33.97 inference(quant_inst,[status(thm)],[])).
% 53.79/33.97 tff(8914,plain,
% 53.79/33.97 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB47)) | v130(constB47, 1)),
% 53.79/33.97 inference(modus_ponens,[status(thm)],[8913, 8912])).
% 53.79/33.97 tff(8915,plain,
% 53.79/33.97 (v130(constB47, 1)),
% 53.79/33.97 inference(unit_resolution,[status(thm)],[8914, 2808, 8784])).
% 53.79/33.97 tff(8916,plain,
% 53.79/33.97 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB47) | (~v130(constB47, 1)) | v127(constB47, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB47) | (~v130(constB47, 1)) | v127(constB47, 1))),
% 53.79/33.97 inference(rewrite,[status(thm)],[])).
% 53.79/33.97 tff(8917,plain,
% 53.79/33.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB47) | (~v130(constB47, 1)) | v127(constB47, 1))),
% 53.79/33.97 inference(quant_inst,[status(thm)],[])).
% 53.79/33.97 tff(8918,plain,
% 53.79/33.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB47) | (~v130(constB47, 1)) | v127(constB47, 1)),
% 53.79/33.97 inference(modus_ponens,[status(thm)],[8917, 8916])).
% 53.79/33.97 tff(8919,plain,
% 53.79/33.97 ((~v130(constB47, 1)) | v127(constB47, 1)),
% 53.79/33.97 inference(unit_resolution,[status(thm)],[8918, 1593, 8802])).
% 53.79/33.97 tff(8920,plain,
% 53.79/33.97 (v127(constB47, 1)),
% 53.79/33.97 inference(unit_resolution,[status(thm)],[8919, 8915])).
% 53.79/33.97 tff(8921,plain,
% 53.79/33.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB47, constB48)) | (~v127(constB47, 1)) | v129(constB48, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB47, constB48)) | (~v127(constB47, 1)) | v129(constB48, 1))),
% 53.79/33.97 inference(rewrite,[status(thm)],[])).
% 53.79/33.97 tff(8922,plain,
% 53.79/33.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB47, constB48)) | (~v127(constB47, 1)) | v129(constB48, 1))),
% 53.79/33.97 inference(quant_inst,[status(thm)],[])).
% 53.79/33.97 tff(8923,plain,
% 53.79/33.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB47, constB48)) | (~v127(constB47, 1)) | v129(constB48, 1)),
% 53.79/33.97 inference(modus_ponens,[status(thm)],[8922, 8921])).
% 53.79/33.97 tff(8924,plain,
% 53.79/33.97 ((~v127(constB47, 1)) | v129(constB48, 1)),
% 53.79/33.97 inference(unit_resolution,[status(thm)],[8923, 1608, 8820])).
% 53.79/33.97 tff(8925,plain,
% 53.79/33.97 (v129(constB48, 1)),
% 53.79/33.97 inference(unit_resolution,[status(thm)],[8924, 8920])).
% 53.79/33.97 tff(8926,plain,
% 53.79/33.97 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB48, 1) | (~v129(constB48, 1)) | (~v100(constB48)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB48, 1) | (~v129(constB48, 1)) | (~v100(constB48)))),
% 53.79/33.97 inference(rewrite,[status(thm)],[])).
% 53.79/33.97 tff(8927,plain,
% 53.79/33.97 ((v90(constB48, 1) | (~v100(constB48)) | (~v129(constB48, 1))) <=> (v90(constB48, 1) | (~v129(constB48, 1)) | (~v100(constB48)))),
% 53.79/33.97 inference(rewrite,[status(thm)],[])).
% 53.79/33.97 tff(8928,plain,
% 53.79/33.97 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB48, 1) | (~v100(constB48)) | (~v129(constB48, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB48, 1) | (~v129(constB48, 1)) | (~v100(constB48))))),
% 53.79/33.97 inference(monotonicity,[status(thm)],[8927])).
% 53.79/33.97 tff(8929,plain,
% 53.79/33.97 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB48, 1) | (~v100(constB48)) | (~v129(constB48, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB48, 1) | (~v129(constB48, 1)) | (~v100(constB48)))),
% 53.79/33.97 inference(transitivity,[status(thm)],[8928, 8926])).
% 53.79/33.97 tff(8930,plain,
% 53.79/33.97 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB48, 1) | (~v100(constB48)) | (~v129(constB48, 1)))),
% 53.79/33.97 inference(quant_inst,[status(thm)],[])).
% 53.79/33.97 tff(8931,plain,
% 53.79/33.97 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB48, 1) | (~v129(constB48, 1)) | (~v100(constB48))),
% 53.79/33.97 inference(modus_ponens,[status(thm)],[8930, 8929])).
% 53.79/33.97 tff(8932,plain,
% 53.79/33.97 (v90(constB48, 1) | (~v100(constB48))),
% 53.79/33.97 inference(unit_resolution,[status(thm)],[8931, 1623, 8925])).
% 53.79/33.97 tff(8933,plain,
% 53.79/33.97 (v90(constB48, 1)),
% 53.79/33.97 inference(unit_resolution,[status(thm)],[8932, 8854])).
% 53.79/33.97 tff(8934,plain,
% 53.79/33.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB48, 1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB48, 1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, 1))),
% 53.79/33.97 inference(rewrite,[status(thm)],[])).
% 53.79/33.97 tff(8935,plain,
% 53.79/33.97 (((~nextState(constB48, constB49)) | (~v90(constB48, 1)) | v100(constB49) | v90(constB49, 1)) <=> ((~v90(constB48, 1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, 1))),
% 53.79/33.97 inference(rewrite,[status(thm)],[])).
% 53.79/33.97 tff(8936,plain,
% 53.79/33.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB48, constB49)) | (~v90(constB48, 1)) | v100(constB49) | v90(constB49, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB48, 1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, 1)))),
% 53.79/33.97 inference(monotonicity,[status(thm)],[8935])).
% 53.79/33.97 tff(8937,plain,
% 53.79/33.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB48, constB49)) | (~v90(constB48, 1)) | v100(constB49) | v90(constB49, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB48, 1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, 1))),
% 53.79/33.97 inference(transitivity,[status(thm)],[8936, 8934])).
% 53.79/33.97 tff(8938,plain,
% 53.79/33.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB48, constB49)) | (~v90(constB48, 1)) | v100(constB49) | v90(constB49, 1))),
% 53.79/33.97 inference(quant_inst,[status(thm)],[])).
% 53.79/33.97 tff(8939,plain,
% 53.79/33.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB48, 1)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, 1)),
% 53.79/33.97 inference(modus_ponens,[status(thm)],[8938, 8937])).
% 53.79/33.97 tff(8940,plain,
% 53.79/33.97 ((~v90(constB48, 1)) | v100(constB49) | v90(constB49, 1)),
% 53.79/33.97 inference(unit_resolution,[status(thm)],[8939, 1641, 8882])).
% 53.79/33.97 tff(8941,plain,
% 53.79/33.97 ((~v90(constB48, 1)) | v90(constB49, 1)),
% 53.79/33.97 inference(unit_resolution,[status(thm)],[8940, 8894])).
% 53.79/33.97 tff(8942,plain,
% 53.79/33.97 (v90(constB49, 1)),
% 53.79/33.97 inference(unit_resolution,[status(thm)],[8941, 8933])).
% 53.79/33.97 tff(8943,plain,
% 53.79/33.97 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB49)) | (~v90(constB49, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB49)) | (~v90(constB49, 1)))),
% 53.79/33.97 inference(rewrite,[status(thm)],[])).
% 53.79/33.97 tff(8944,plain,
% 53.79/33.97 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB49)) | (~v90(constB49, 1)))),
% 53.79/33.97 inference(quant_inst,[status(thm)],[])).
% 53.79/33.97 tff(8945,plain,
% 53.79/33.97 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB49)) | (~v90(constB49, 1))),
% 53.79/33.97 inference(modus_ponens,[status(thm)],[8944, 8943])).
% 53.79/33.97 tff(8946,plain,
% 53.79/33.97 (~v119(constB49)),
% 53.79/33.97 inference(unit_resolution,[status(thm)],[8945, 2868, 8942])).
% 53.79/33.97 tff(8947,plain,
% 53.79/33.97 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB49)) | (~v90(constB49, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB49)) | (~v90(constB49, 1)))),
% 53.79/33.97 inference(rewrite,[status(thm)],[])).
% 53.79/33.97 tff(8948,plain,
% 53.79/33.97 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB49)) | (~v90(constB49, 1)))),
% 53.79/33.97 inference(quant_inst,[status(thm)],[])).
% 53.79/33.97 tff(8949,plain,
% 53.79/33.97 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB49)) | (~v90(constB49, 1))),
% 53.79/33.97 inference(modus_ponens,[status(thm)],[8948, 8947])).
% 53.79/33.97 tff(8950,plain,
% 53.79/33.97 (~v120(constB49)),
% 53.79/33.97 inference(unit_resolution,[status(thm)],[8949, 2846, 8942])).
% 53.79/33.97 tff(8951,plain,
% 53.79/33.97 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB49)) | (~v90(constB49, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB49)) | (~v90(constB49, 1)))),
% 53.79/33.97 inference(rewrite,[status(thm)],[])).
% 53.79/33.97 tff(8952,plain,
% 53.79/33.97 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB49)) | (~v90(constB49, 1)))),
% 53.79/33.97 inference(quant_inst,[status(thm)],[])).
% 53.79/33.97 tff(8953,plain,
% 53.79/33.97 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB49)) | (~v90(constB49, 1))),
% 53.79/33.97 inference(modus_ponens,[status(thm)],[8952, 8951])).
% 53.79/33.97 tff(8954,plain,
% 53.79/33.97 (~v124(constB49)),
% 53.79/33.97 inference(unit_resolution,[status(thm)],[8953, 2890, 8942])).
% 53.79/33.97 tff(8955,plain,
% 53.79/33.97 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB49)) | (~v90(constB49, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB49)) | (~v90(constB49, 1)))),
% 53.79/33.97 inference(rewrite,[status(thm)],[])).
% 53.79/33.97 tff(8956,plain,
% 53.79/33.97 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB49)) | (~v90(constB49, 1)))),
% 53.79/33.97 inference(quant_inst,[status(thm)],[])).
% 53.79/33.97 tff(8957,plain,
% 53.79/33.97 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB49)) | (~v90(constB49, 1))),
% 53.79/33.97 inference(modus_ponens,[status(thm)],[8956, 8955])).
% 53.79/33.97 tff(8958,plain,
% 53.79/33.97 (~v123(constB49)),
% 53.79/33.97 inference(unit_resolution,[status(thm)],[8957, 2879, 8942])).
% 53.79/33.97 tff(8959,plain,
% 53.79/33.97 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | v130(constB49, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | v130(constB49, 0))),
% 53.79/33.98 inference(rewrite,[status(thm)],[])).
% 53.79/33.98 tff(8960,plain,
% 53.79/33.98 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | v130(constB49, 0))),
% 53.79/33.98 inference(quant_inst,[status(thm)],[])).
% 53.79/33.98 tff(8961,plain,
% 53.79/33.98 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | v130(constB49, 0)),
% 53.79/33.98 inference(modus_ponens,[status(thm)],[8960, 8959])).
% 53.79/33.98 tff(8962,plain,
% 53.79/33.98 (v130(constB49, 0)),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[8961, 3413, 8958, 8954, 8950, 8946, 8911, 8907])).
% 53.79/33.98 tff(8963,assumption,(v26(constB49)), introduced(assumption)).
% 53.79/33.98 tff(8964,plain,
% 53.79/33.98 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB49))),
% 53.79/33.98 inference(quant_inst,[status(thm)],[])).
% 53.79/33.98 tff(8965,plain,
% 53.79/33.98 ($false),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[8964, 828, 8963])).
% 53.79/33.98 tff(8966,plain,(~v26(constB49)), inference(lemma,lemma(discharge,[]))).
% 53.79/33.98 tff(8967,plain,
% 53.79/33.98 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB49) | (~v130(constB49, 0)) | v127(constB49, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB49) | (~v130(constB49, 0)) | v127(constB49, 0))),
% 53.79/33.98 inference(rewrite,[status(thm)],[])).
% 53.79/33.98 tff(8968,plain,
% 53.79/33.98 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB49) | (~v130(constB49, 0)) | v127(constB49, 0))),
% 53.79/33.98 inference(quant_inst,[status(thm)],[])).
% 53.79/33.98 tff(8969,plain,
% 53.79/33.98 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB49) | (~v130(constB49, 0)) | v127(constB49, 0)),
% 53.79/33.98 inference(modus_ponens,[status(thm)],[8968, 8967])).
% 53.79/33.98 tff(8970,plain,
% 53.79/33.98 ((~v130(constB49, 0)) | v127(constB49, 0)),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[8969, 1347, 8966])).
% 53.79/33.98 tff(8971,plain,
% 53.79/33.98 (v127(constB49, 0)),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[8970, 8962])).
% 53.79/33.98 tff(8972,plain,
% 53.79/33.98 (nextState(constB49, constB50) <=> nextState(constB49, constB50)),
% 53.79/33.98 inference(rewrite,[status(thm)],[])).
% 53.79/33.98 tff(8973,axiom,(nextState(constB49, constB50)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_49_1')).
% 53.79/33.98 tff(8974,plain,
% 53.79/33.98 (nextState(constB49, constB50)),
% 53.79/33.98 inference(modus_ponens,[status(thm)],[8973, 8972])).
% 53.79/33.98 tff(8975,plain,
% 53.79/33.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB49, constB50)) | (~v127(constB49, 0)) | v129(constB50, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB49, constB50)) | (~v127(constB49, 0)) | v129(constB50, 0))),
% 53.79/33.98 inference(rewrite,[status(thm)],[])).
% 53.79/33.98 tff(8976,plain,
% 53.79/33.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB49, constB50)) | (~v127(constB49, 0)) | v129(constB50, 0))),
% 53.79/33.98 inference(quant_inst,[status(thm)],[])).
% 53.79/33.98 tff(8977,plain,
% 53.79/33.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB49, constB50)) | (~v127(constB49, 0)) | v129(constB50, 0)),
% 53.79/33.98 inference(modus_ponens,[status(thm)],[8976, 8975])).
% 53.79/33.98 tff(8978,plain,
% 53.79/33.98 ((~v127(constB49, 0)) | v129(constB50, 0)),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[8977, 1362, 8974])).
% 53.79/33.98 tff(8979,plain,
% 53.79/33.98 (v129(constB50, 0)),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[8978, 8971])).
% 53.79/33.98 tff(8980,assumption,(~v100(constB50)), introduced(assumption)).
% 53.79/33.98 tff(8981,plain,
% 53.79/33.98 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB49) | (~nextState(constB49, constB50)) | (~v104(constB50)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB49) | (~nextState(constB49, constB50)) | (~v104(constB50)))),
% 53.79/33.98 inference(rewrite,[status(thm)],[])).
% 53.79/33.98 tff(8982,plain,
% 53.79/33.98 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB49) | (~nextState(constB49, constB50)) | (~v104(constB50)))),
% 53.79/33.98 inference(quant_inst,[status(thm)],[])).
% 53.79/33.98 tff(8983,plain,
% 53.79/33.98 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB49) | (~nextState(constB49, constB50)) | (~v104(constB50))),
% 53.79/33.98 inference(modus_ponens,[status(thm)],[8982, 8981])).
% 53.79/33.98 tff(8984,plain,
% 53.79/33.98 (~v104(constB50)),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[8983, 1113, 8974, 8879])).
% 53.79/33.98 tff(8985,plain,
% 53.79/33.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB49, constB50)) | v102(constB50) | v104(constB50))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB49, constB50)) | v102(constB50) | v104(constB50))),
% 53.79/33.98 inference(rewrite,[status(thm)],[])).
% 53.79/33.98 tff(8986,plain,
% 53.79/33.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB49, constB50)) | v102(constB50) | v104(constB50))),
% 53.79/33.98 inference(quant_inst,[status(thm)],[])).
% 53.79/33.98 tff(8987,plain,
% 53.79/33.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB49, constB50)) | v102(constB50) | v104(constB50)),
% 53.79/33.98 inference(modus_ponens,[status(thm)],[8986, 8985])).
% 53.79/33.98 tff(8988,plain,
% 53.79/33.98 (v102(constB50) | v104(constB50)),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[8987, 1127, 8974])).
% 53.79/33.98 tff(8989,plain,
% 53.79/33.98 (v102(constB50)),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[8988, 8984])).
% 53.79/33.98 tff(8990,plain,
% 53.79/33.98 (v1(constB50) <=> v1(constB50)),
% 53.79/33.98 inference(rewrite,[status(thm)],[])).
% 53.79/33.98 tff(8991,axiom,(v1(constB50)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_50_1')).
% 53.79/33.98 tff(8992,plain,
% 53.79/33.98 (v1(constB50)),
% 53.79/33.98 inference(modus_ponens,[status(thm)],[8991, 8990])).
% 53.79/33.98 tff(8993,plain,
% 53.79/33.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB49, constB50)) | v101(constB50) | (~v102(constB50)) | (~v1(constB50)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB49, constB50)) | v101(constB50) | (~v102(constB50)) | (~v1(constB50)))),
% 53.79/33.98 inference(rewrite,[status(thm)],[])).
% 53.79/33.98 tff(8994,plain,
% 53.79/33.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB49, constB50)) | v101(constB50) | (~v102(constB50)) | (~v1(constB50)))),
% 53.79/33.98 inference(quant_inst,[status(thm)],[])).
% 53.79/33.98 tff(8995,plain,
% 53.79/33.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB49, constB50)) | v101(constB50) | (~v102(constB50)) | (~v1(constB50))),
% 53.79/33.98 inference(modus_ponens,[status(thm)],[8994, 8993])).
% 53.79/33.98 tff(8996,plain,
% 53.79/33.98 (v101(constB50) | (~v102(constB50))),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[8995, 1145, 8974, 8992])).
% 53.79/33.98 tff(8997,plain,
% 53.79/33.98 (v101(constB50)),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[8996, 8989])).
% 53.79/33.98 tff(8998,plain,
% 53.79/33.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50)))),
% 53.79/33.98 inference(rewrite,[status(thm)],[])).
% 53.79/33.98 tff(8999,plain,
% 53.79/33.98 (((~nextState(constB49, constB50)) | (~v101(constB50)) | (~v110(constB50)) | v100(constB50)) <=> ((~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50)))),
% 53.79/33.98 inference(rewrite,[status(thm)],[])).
% 53.79/33.98 tff(9000,plain,
% 53.79/33.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB49, constB50)) | (~v101(constB50)) | (~v110(constB50)) | v100(constB50))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50))))),
% 53.79/33.98 inference(monotonicity,[status(thm)],[8999])).
% 53.79/33.98 tff(9001,plain,
% 53.79/33.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB49, constB50)) | (~v101(constB50)) | (~v110(constB50)) | v100(constB50))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50)))),
% 53.79/33.98 inference(transitivity,[status(thm)],[9000, 8998])).
% 53.79/33.98 tff(9002,plain,
% 53.79/33.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB49, constB50)) | (~v101(constB50)) | (~v110(constB50)) | v100(constB50))),
% 53.79/33.98 inference(quant_inst,[status(thm)],[])).
% 53.79/33.98 tff(9003,plain,
% 53.79/33.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB49, constB50)) | v100(constB50) | (~v101(constB50)) | (~v110(constB50))),
% 53.79/33.98 inference(modus_ponens,[status(thm)],[9002, 9001])).
% 53.79/33.98 tff(9004,plain,
% 53.79/33.98 (v100(constB50) | (~v101(constB50)) | (~v110(constB50))),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[9003, 1160, 8974])).
% 53.79/33.98 tff(9005,plain,
% 53.79/33.98 (v100(constB50) | (~v110(constB50))),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[9004, 8997])).
% 53.79/33.98 tff(9006,plain,
% 53.79/33.98 (~v110(constB50)),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[9005, 8980])).
% 53.79/33.98 tff(9007,plain,
% 53.79/33.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49)))),
% 53.79/33.98 inference(rewrite,[status(thm)],[])).
% 53.79/33.98 tff(9008,plain,
% 53.79/33.98 (((~nextState(constB49, constB50)) | (~v108(constB49)) | v110(constB50)) <=> ((~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49)))),
% 53.79/33.98 inference(rewrite,[status(thm)],[])).
% 53.79/33.98 tff(9009,plain,
% 53.79/33.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB49, constB50)) | (~v108(constB49)) | v110(constB50))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49))))),
% 53.79/33.98 inference(monotonicity,[status(thm)],[9008])).
% 53.79/33.98 tff(9010,plain,
% 53.79/33.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB49, constB50)) | (~v108(constB49)) | v110(constB50))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49)))),
% 53.79/33.98 inference(transitivity,[status(thm)],[9009, 9007])).
% 53.79/33.98 tff(9011,plain,
% 53.79/33.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB49, constB50)) | (~v108(constB49)) | v110(constB50))),
% 53.79/33.98 inference(quant_inst,[status(thm)],[])).
% 53.79/33.98 tff(9012,plain,
% 53.79/33.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB49, constB50)) | v110(constB50) | (~v108(constB49))),
% 53.79/33.98 inference(modus_ponens,[status(thm)],[9011, 9010])).
% 53.79/33.98 tff(9013,plain,
% 53.79/33.98 (v110(constB50) | (~v108(constB49))),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[9012, 1095, 8974])).
% 53.79/33.98 tff(9014,plain,
% 53.79/33.98 (~v108(constB49)),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[9013, 9006])).
% 53.79/33.98 tff(9015,assumption,(~v108(constB49)), introduced(assumption)).
% 53.79/33.98 tff(9016,plain,
% 53.79/33.98 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB49) | (~v112(constB49)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB49) | (~v112(constB49)))),
% 53.79/33.98 inference(rewrite,[status(thm)],[])).
% 53.79/33.98 tff(9017,plain,
% 53.79/33.98 (((~v112(constB49)) | v108(constB49)) <=> (v108(constB49) | (~v112(constB49)))),
% 53.79/33.98 inference(rewrite,[status(thm)],[])).
% 53.79/33.98 tff(9018,plain,
% 53.79/33.98 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB49)) | v108(constB49))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB49) | (~v112(constB49))))),
% 53.79/33.98 inference(monotonicity,[status(thm)],[9017])).
% 53.79/33.98 tff(9019,plain,
% 53.79/33.98 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB49)) | v108(constB49))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB49) | (~v112(constB49)))),
% 53.79/33.98 inference(transitivity,[status(thm)],[9018, 9016])).
% 53.79/33.98 tff(9020,plain,
% 53.79/33.98 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB49)) | v108(constB49))),
% 53.79/33.98 inference(quant_inst,[status(thm)],[])).
% 53.79/33.98 tff(9021,plain,
% 53.79/33.98 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB49) | (~v112(constB49))),
% 53.79/33.98 inference(modus_ponens,[status(thm)],[9020, 9019])).
% 53.79/33.98 tff(9022,plain,
% 53.79/33.98 (~v112(constB49)),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[9021, 1075, 9015])).
% 53.79/33.98 tff(9023,plain,
% 53.79/33.98 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB49) | (~v26(constB49)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB49) | (~v26(constB49)))),
% 53.79/33.98 inference(rewrite,[status(thm)],[])).
% 53.79/33.98 tff(9024,plain,
% 53.79/33.98 (((~v26(constB49)) | v108(constB49)) <=> (v108(constB49) | (~v26(constB49)))),
% 53.79/33.98 inference(rewrite,[status(thm)],[])).
% 53.79/33.98 tff(9025,plain,
% 53.79/33.98 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB49)) | v108(constB49))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB49) | (~v26(constB49))))),
% 53.79/33.98 inference(monotonicity,[status(thm)],[9024])).
% 53.79/33.98 tff(9026,plain,
% 53.79/33.98 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB49)) | v108(constB49))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB49) | (~v26(constB49)))),
% 53.79/33.98 inference(transitivity,[status(thm)],[9025, 9023])).
% 53.79/33.98 tff(9027,plain,
% 53.79/33.98 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB49)) | v108(constB49))),
% 53.79/33.98 inference(quant_inst,[status(thm)],[])).
% 53.79/33.98 tff(9028,plain,
% 53.79/33.98 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB49) | (~v26(constB49))),
% 53.79/33.98 inference(modus_ponens,[status(thm)],[9027, 9026])).
% 53.79/33.98 tff(9029,plain,
% 53.79/33.98 (~v26(constB49)),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[9028, 2050, 9015])).
% 53.79/33.98 tff(9030,assumption,(v113(constB49)), introduced(assumption)).
% 53.79/33.98 tff(9031,plain,
% 53.79/33.98 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB49) | v112(constB49) | (~v113(constB49)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB49) | v112(constB49) | (~v113(constB49)))),
% 53.79/33.98 inference(rewrite,[status(thm)],[])).
% 53.79/33.98 tff(9032,plain,
% 53.79/33.98 ((v26(constB49) | (~v113(constB49)) | v112(constB49)) <=> (v26(constB49) | v112(constB49) | (~v113(constB49)))),
% 53.79/33.98 inference(rewrite,[status(thm)],[])).
% 53.79/33.98 tff(9033,plain,
% 53.79/33.98 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB49) | (~v113(constB49)) | v112(constB49))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB49) | v112(constB49) | (~v113(constB49))))),
% 53.79/33.98 inference(monotonicity,[status(thm)],[9032])).
% 53.79/33.98 tff(9034,plain,
% 53.79/33.98 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB49) | (~v113(constB49)) | v112(constB49))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB49) | v112(constB49) | (~v113(constB49)))),
% 53.79/33.98 inference(transitivity,[status(thm)],[9033, 9031])).
% 53.79/33.98 tff(9035,plain,
% 53.79/33.98 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB49) | (~v113(constB49)) | v112(constB49))),
% 53.79/33.98 inference(quant_inst,[status(thm)],[])).
% 53.79/33.98 tff(9036,plain,
% 53.79/33.98 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB49) | v112(constB49) | (~v113(constB49))),
% 53.79/33.98 inference(modus_ponens,[status(thm)],[9035, 9034])).
% 53.79/33.98 tff(9037,plain,
% 53.79/33.98 (v26(constB49) | v112(constB49)),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[9036, 1063, 9030])).
% 53.79/33.98 tff(9038,plain,
% 53.79/33.98 ($false),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[9037, 9029, 9022])).
% 53.79/33.98 tff(9039,plain,(v108(constB49) | (~v113(constB49))), inference(lemma,lemma(discharge,[]))).
% 53.79/33.98 tff(9040,plain,
% 53.79/33.98 (~v113(constB49)),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[9039, 9014])).
% 53.79/33.98 tff(9041,plain,
% 53.79/33.98 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB49)) | v113(constB49))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB49)) | v113(constB49))),
% 53.79/33.98 inference(rewrite,[status(thm)],[])).
% 53.79/33.98 tff(9042,plain,
% 53.79/33.98 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB49)) | v113(constB49))),
% 53.79/33.98 inference(quant_inst,[status(thm)],[])).
% 53.79/33.98 tff(9043,plain,
% 53.79/33.98 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB49)) | v113(constB49)),
% 53.79/33.98 inference(modus_ponens,[status(thm)],[9042, 9041])).
% 53.79/33.98 tff(9044,plain,
% 53.79/33.98 (~v114(constB49)),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[9043, 1049, 9040])).
% 53.79/33.98 tff(9045,plain,
% 53.79/33.98 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB49) | (~v115(constB49)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB49) | (~v115(constB49)))),
% 53.79/33.98 inference(rewrite,[status(thm)],[])).
% 53.79/33.98 tff(9046,plain,
% 53.79/33.98 (((~v115(constB49)) | v114(constB49)) <=> (v114(constB49) | (~v115(constB49)))),
% 53.79/33.98 inference(rewrite,[status(thm)],[])).
% 53.79/33.98 tff(9047,plain,
% 53.79/33.98 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB49)) | v114(constB49))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB49) | (~v115(constB49))))),
% 53.79/33.98 inference(monotonicity,[status(thm)],[9046])).
% 53.79/33.98 tff(9048,plain,
% 53.79/33.98 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB49)) | v114(constB49))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB49) | (~v115(constB49)))),
% 53.79/33.98 inference(transitivity,[status(thm)],[9047, 9045])).
% 53.79/33.98 tff(9049,plain,
% 53.79/33.98 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB49)) | v114(constB49))),
% 53.79/33.98 inference(quant_inst,[status(thm)],[])).
% 53.79/33.98 tff(9050,plain,
% 53.79/33.98 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB49) | (~v115(constB49))),
% 53.79/33.98 inference(modus_ponens,[status(thm)],[9049, 9048])).
% 53.79/33.98 tff(9051,plain,
% 53.79/33.98 (~v115(constB49)),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[9050, 1035, 9044])).
% 53.79/33.98 tff(9052,plain,
% 53.79/33.98 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB49) | (~v116(constB49)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB49) | (~v116(constB49)))),
% 53.79/33.98 inference(rewrite,[status(thm)],[])).
% 53.79/33.98 tff(9053,plain,
% 53.79/33.98 (((~v116(constB49)) | v115(constB49)) <=> (v115(constB49) | (~v116(constB49)))),
% 53.79/33.98 inference(rewrite,[status(thm)],[])).
% 53.79/33.98 tff(9054,plain,
% 53.79/33.98 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB49)) | v115(constB49))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB49) | (~v116(constB49))))),
% 53.79/33.98 inference(monotonicity,[status(thm)],[9053])).
% 53.79/33.98 tff(9055,plain,
% 53.79/33.98 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB49)) | v115(constB49))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB49) | (~v116(constB49)))),
% 53.79/33.98 inference(transitivity,[status(thm)],[9054, 9052])).
% 53.79/33.98 tff(9056,plain,
% 53.79/33.98 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB49)) | v115(constB49))),
% 53.79/33.98 inference(quant_inst,[status(thm)],[])).
% 53.79/33.98 tff(9057,plain,
% 53.79/33.98 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB49) | (~v116(constB49))),
% 53.79/33.98 inference(modus_ponens,[status(thm)],[9056, 9055])).
% 53.79/33.98 tff(9058,plain,
% 53.79/33.98 (~v116(constB49)),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[9057, 1021, 9051])).
% 53.79/33.98 tff(9059,plain,
% 53.79/33.98 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB49) | (~v117(constB49)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB49) | (~v117(constB49)))),
% 53.79/33.98 inference(rewrite,[status(thm)],[])).
% 53.79/33.98 tff(9060,plain,
% 53.79/33.98 (((~v117(constB49)) | v116(constB49)) <=> (v116(constB49) | (~v117(constB49)))),
% 53.79/33.98 inference(rewrite,[status(thm)],[])).
% 53.79/33.98 tff(9061,plain,
% 53.79/33.98 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB49)) | v116(constB49))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB49) | (~v117(constB49))))),
% 53.79/33.98 inference(monotonicity,[status(thm)],[9060])).
% 53.79/33.98 tff(9062,plain,
% 53.79/33.98 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB49)) | v116(constB49))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB49) | (~v117(constB49)))),
% 53.79/33.98 inference(transitivity,[status(thm)],[9061, 9059])).
% 53.79/33.98 tff(9063,plain,
% 53.79/33.98 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB49)) | v116(constB49))),
% 53.79/33.98 inference(quant_inst,[status(thm)],[])).
% 53.79/33.98 tff(9064,plain,
% 53.79/33.98 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB49) | (~v117(constB49))),
% 53.79/33.98 inference(modus_ponens,[status(thm)],[9063, 9062])).
% 53.79/33.98 tff(9065,plain,
% 53.79/33.98 (~v117(constB49)),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[9064, 1007, 9058])).
% 53.79/33.98 tff(9066,plain,
% 53.79/33.98 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB49)) | v116(constB49))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB49)) | v116(constB49))),
% 53.79/33.98 inference(rewrite,[status(thm)],[])).
% 53.79/33.98 tff(9067,plain,
% 53.79/33.98 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB49)) | v116(constB49))),
% 53.79/33.98 inference(quant_inst,[status(thm)],[])).
% 53.79/33.98 tff(9068,plain,
% 53.79/33.98 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB49)) | v116(constB49)),
% 53.79/33.98 inference(modus_ponens,[status(thm)],[9067, 9066])).
% 53.79/33.98 tff(9069,plain,
% 53.79/33.98 (~v122(constB49)),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[9068, 2120, 9058])).
% 53.79/33.98 tff(9070,assumption,(~v90(constB50, 2)), introduced(assumption)).
% 53.79/33.98 tff(9071,plain,
% 53.79/33.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB49, 2)) | (~nextState(constB49, constB50)) | v100(constB50) | v90(constB50, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB49, 2)) | (~nextState(constB49, constB50)) | v100(constB50) | v90(constB50, 2))),
% 53.79/33.98 inference(rewrite,[status(thm)],[])).
% 53.79/33.98 tff(9072,plain,
% 53.79/33.98 (((~nextState(constB49, constB50)) | (~v90(constB49, 2)) | v100(constB50) | v90(constB50, 2)) <=> ((~v90(constB49, 2)) | (~nextState(constB49, constB50)) | v100(constB50) | v90(constB50, 2))),
% 53.79/33.98 inference(rewrite,[status(thm)],[])).
% 53.79/33.98 tff(9073,plain,
% 53.79/33.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB49, constB50)) | (~v90(constB49, 2)) | v100(constB50) | v90(constB50, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB49, 2)) | (~nextState(constB49, constB50)) | v100(constB50) | v90(constB50, 2)))),
% 53.79/33.98 inference(monotonicity,[status(thm)],[9072])).
% 53.79/33.98 tff(9074,plain,
% 53.79/33.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB49, constB50)) | (~v90(constB49, 2)) | v100(constB50) | v90(constB50, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB49, 2)) | (~nextState(constB49, constB50)) | v100(constB50) | v90(constB50, 2))),
% 53.79/33.98 inference(transitivity,[status(thm)],[9073, 9071])).
% 53.79/33.98 tff(9075,plain,
% 53.79/33.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB49, constB50)) | (~v90(constB49, 2)) | v100(constB50) | v90(constB50, 2))),
% 53.79/33.98 inference(quant_inst,[status(thm)],[])).
% 53.79/33.98 tff(9076,plain,
% 53.79/33.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB49, 2)) | (~nextState(constB49, constB50)) | v100(constB50) | v90(constB50, 2)),
% 53.79/33.98 inference(modus_ponens,[status(thm)],[9075, 9074])).
% 53.79/33.98 tff(9077,plain,
% 53.79/33.98 ((~v90(constB49, 2)) | v100(constB50) | v90(constB50, 2)),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[9076, 2174, 8974])).
% 53.79/33.98 tff(9078,plain,
% 53.79/33.98 (~v90(constB49, 2)),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[9077, 8980, 9070])).
% 53.79/33.98 tff(9079,plain,
% 53.79/33.98 (~v112(constB49)),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[9021, 1075, 9014])).
% 53.79/33.98 tff(9080,plain,
% 53.79/33.98 (~v26(constB49)),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[9028, 2050, 9014])).
% 53.79/33.98 tff(9081,plain,
% 53.79/33.98 (~v113(constB49)),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[9036, 1063, 9080, 9079])).
% 53.79/33.98 tff(9082,plain,
% 53.79/33.98 (~v114(constB49)),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[9043, 1049, 9081])).
% 53.79/33.98 tff(9083,plain,
% 53.79/33.98 (~v115(constB49)),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[9050, 1035, 9082])).
% 53.79/33.98 tff(9084,plain,
% 53.79/33.98 (~v116(constB49)),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[9057, 1021, 9083])).
% 53.79/33.98 tff(9085,plain,
% 53.79/33.98 (~v117(constB49)),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[9064, 1007, 9084])).
% 53.79/33.98 tff(9086,plain,
% 53.79/33.98 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB49) | (~v118(constB49)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB49) | (~v118(constB49)))),
% 53.79/33.98 inference(rewrite,[status(thm)],[])).
% 53.79/33.98 tff(9087,plain,
% 53.79/33.98 (((~v118(constB49)) | v117(constB49)) <=> (v117(constB49) | (~v118(constB49)))),
% 53.79/33.98 inference(rewrite,[status(thm)],[])).
% 53.79/33.98 tff(9088,plain,
% 53.79/33.98 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB49)) | v117(constB49))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB49) | (~v118(constB49))))),
% 53.79/33.98 inference(monotonicity,[status(thm)],[9087])).
% 53.79/33.98 tff(9089,plain,
% 53.79/33.98 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB49)) | v117(constB49))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB49) | (~v118(constB49)))),
% 53.79/33.98 inference(transitivity,[status(thm)],[9088, 9086])).
% 53.79/33.98 tff(9090,plain,
% 53.79/33.98 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB49)) | v117(constB49))),
% 53.79/33.98 inference(quant_inst,[status(thm)],[])).
% 53.79/33.98 tff(9091,plain,
% 53.79/33.98 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB49) | (~v118(constB49))),
% 53.79/33.98 inference(modus_ponens,[status(thm)],[9090, 9089])).
% 53.79/33.98 tff(9092,plain,
% 53.79/33.98 (~v118(constB49)),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[9091, 993, 9085])).
% 53.79/33.98 tff(9093,plain,
% 53.79/33.98 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB49) | (~v119(constB49)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB49) | (~v119(constB49)))),
% 53.79/33.98 inference(rewrite,[status(thm)],[])).
% 53.79/33.98 tff(9094,plain,
% 53.79/33.98 (((~v119(constB49)) | v118(constB49)) <=> (v118(constB49) | (~v119(constB49)))),
% 53.79/33.98 inference(rewrite,[status(thm)],[])).
% 53.79/33.98 tff(9095,plain,
% 53.79/33.98 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB49)) | v118(constB49))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB49) | (~v119(constB49))))),
% 53.79/33.98 inference(monotonicity,[status(thm)],[9094])).
% 53.79/33.98 tff(9096,plain,
% 53.79/33.98 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB49)) | v118(constB49))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB49) | (~v119(constB49)))),
% 53.79/33.98 inference(transitivity,[status(thm)],[9095, 9093])).
% 53.79/33.98 tff(9097,plain,
% 53.79/33.98 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB49)) | v118(constB49))),
% 53.79/33.98 inference(quant_inst,[status(thm)],[])).
% 53.79/33.98 tff(9098,plain,
% 53.79/33.98 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB49) | (~v119(constB49))),
% 53.79/33.98 inference(modus_ponens,[status(thm)],[9097, 9096])).
% 53.79/33.98 tff(9099,plain,
% 53.79/33.98 (~v119(constB49)),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[9098, 982, 9092])).
% 53.79/33.98 tff(9100,plain,
% 53.79/33.98 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB49)) | v118(constB49))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB49)) | v118(constB49))),
% 53.79/33.98 inference(rewrite,[status(thm)],[])).
% 53.79/33.98 tff(9101,plain,
% 53.79/33.98 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB49)) | v118(constB49))),
% 53.79/33.98 inference(quant_inst,[status(thm)],[])).
% 53.79/33.98 tff(9102,plain,
% 53.79/33.98 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB49)) | v118(constB49)),
% 53.79/33.98 inference(modus_ponens,[status(thm)],[9101, 9100])).
% 53.79/33.98 tff(9103,plain,
% 53.79/33.98 (~v120(constB49)),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[9102, 1425, 9092])).
% 53.79/33.98 tff(9104,assumption,(~v90(constB49, 1)), introduced(assumption)).
% 53.79/33.98 tff(9105,plain,
% 53.79/33.98 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB49, 0)) | v90(constB49, 1) | v90(constB49, 2) | v120(constB49))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB49, 0)) | v90(constB49, 1) | v90(constB49, 2) | v120(constB49))),
% 53.79/33.98 inference(rewrite,[status(thm)],[])).
% 53.79/33.98 tff(9106,plain,
% 53.79/33.98 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB49, 0)) | v90(constB49, 1) | v90(constB49, 2) | v120(constB49))),
% 53.79/33.98 inference(quant_inst,[status(thm)],[])).
% 53.79/33.98 tff(9107,plain,
% 53.79/33.98 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB49, 0)) | v90(constB49, 1) | v90(constB49, 2) | v120(constB49)),
% 53.79/33.98 inference(modus_ponens,[status(thm)],[9106, 9105])).
% 53.79/33.98 tff(9108,plain,
% 53.79/33.98 ((~v90(constB49, 0)) | v90(constB49, 2) | v120(constB49)),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[9107, 1414, 9104])).
% 53.79/33.98 tff(9109,plain,
% 53.79/33.98 (~v90(constB49, 0)),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[9108, 9103, 9078])).
% 53.79/33.98 tff(9110,plain,
% 53.79/33.98 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB49, 0) | v90(constB49, 1) | v90(constB49, 2) | v119(constB49))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB49, 0) | v90(constB49, 1) | v90(constB49, 2) | v119(constB49))),
% 53.79/33.98 inference(rewrite,[status(thm)],[])).
% 53.79/33.98 tff(9111,plain,
% 53.79/33.98 ((v90(constB49, 0) | v119(constB49) | v90(constB49, 1) | v90(constB49, 2)) <=> (v90(constB49, 0) | v90(constB49, 1) | v90(constB49, 2) | v119(constB49))),
% 53.79/33.98 inference(rewrite,[status(thm)],[])).
% 53.79/33.98 tff(9112,plain,
% 53.79/33.98 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB49, 0) | v119(constB49) | v90(constB49, 1) | v90(constB49, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB49, 0) | v90(constB49, 1) | v90(constB49, 2) | v119(constB49)))),
% 53.79/33.98 inference(monotonicity,[status(thm)],[9111])).
% 53.79/33.98 tff(9113,plain,
% 53.79/33.98 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB49, 0) | v119(constB49) | v90(constB49, 1) | v90(constB49, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB49, 0) | v90(constB49, 1) | v90(constB49, 2) | v119(constB49))),
% 53.79/33.98 inference(transitivity,[status(thm)],[9112, 9110])).
% 53.79/33.98 tff(9114,plain,
% 53.79/33.98 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB49, 0) | v119(constB49) | v90(constB49, 1) | v90(constB49, 2))),
% 53.79/33.98 inference(quant_inst,[status(thm)],[])).
% 53.79/33.98 tff(9115,plain,
% 53.79/33.98 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB49, 0) | v90(constB49, 1) | v90(constB49, 2) | v119(constB49)),
% 53.79/33.98 inference(modus_ponens,[status(thm)],[9114, 9113])).
% 53.79/33.98 tff(9116,plain,
% 53.79/33.98 (v90(constB49, 0) | v90(constB49, 2) | v119(constB49)),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[9115, 968, 9104])).
% 53.79/33.98 tff(9117,plain,
% 53.79/33.98 ($false),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[9116, 9109, 9099, 9078])).
% 53.79/33.98 tff(9118,plain,(v100(constB50) | v90(constB49, 1) | v90(constB50, 2)), inference(lemma,lemma(discharge,[]))).
% 53.79/33.98 tff(9119,plain,
% 53.79/33.98 (v90(constB49, 1)),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[9118, 8980, 9070])).
% 53.79/33.98 tff(9120,plain,
% 53.79/33.98 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB49, 0)) | (~v90(constB49, 1)) | v90(constB49, 2) | v122(constB49))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB49, 0)) | (~v90(constB49, 1)) | v90(constB49, 2) | v122(constB49))),
% 53.79/33.98 inference(rewrite,[status(thm)],[])).
% 53.79/33.98 tff(9121,plain,
% 53.79/33.98 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB49, 0)) | (~v90(constB49, 1)) | v90(constB49, 2) | v122(constB49))),
% 53.79/33.98 inference(quant_inst,[status(thm)],[])).
% 53.79/33.98 tff(9122,plain,
% 53.79/33.98 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB49, 0)) | (~v90(constB49, 1)) | v90(constB49, 2) | v122(constB49)),
% 53.79/33.98 inference(modus_ponens,[status(thm)],[9121, 9120])).
% 53.79/33.98 tff(9123,plain,
% 53.79/33.98 ((~v90(constB49, 0)) | v122(constB49)),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[9122, 1956, 9119, 9078])).
% 53.79/33.98 tff(9124,plain,
% 53.79/33.98 (~v90(constB49, 0)),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[9123, 9069])).
% 53.79/33.98 tff(9125,plain,
% 53.79/33.98 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB49, 0) | (~v90(constB49, 1)) | v90(constB49, 2) | v121(constB49))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB49, 0) | (~v90(constB49, 1)) | v90(constB49, 2) | v121(constB49))),
% 53.79/33.98 inference(rewrite,[status(thm)],[])).
% 53.79/33.98 tff(9126,plain,
% 53.79/33.98 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB49, 0) | (~v90(constB49, 1)) | v90(constB49, 2) | v121(constB49))),
% 53.79/33.98 inference(quant_inst,[status(thm)],[])).
% 53.79/33.98 tff(9127,plain,
% 53.79/33.98 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB49, 0) | (~v90(constB49, 1)) | v90(constB49, 2) | v121(constB49)),
% 53.79/33.98 inference(modus_ponens,[status(thm)],[9126, 9125])).
% 53.79/33.98 tff(9128,plain,
% 53.79/33.98 (v90(constB49, 0) | v121(constB49)),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[9127, 1731, 9119, 9078])).
% 53.79/33.98 tff(9129,plain,
% 53.79/33.98 (v121(constB49)),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[9128, 9124])).
% 53.79/33.98 tff(9130,plain,
% 53.79/33.98 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB49) | (~v121(constB49)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB49) | (~v121(constB49)))),
% 53.79/33.98 inference(rewrite,[status(thm)],[])).
% 53.79/33.98 tff(9131,plain,
% 53.79/33.98 (((~v121(constB49)) | v117(constB49)) <=> (v117(constB49) | (~v121(constB49)))),
% 53.79/33.98 inference(rewrite,[status(thm)],[])).
% 53.79/33.98 tff(9132,plain,
% 53.79/33.98 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB49)) | v117(constB49))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB49) | (~v121(constB49))))),
% 53.79/33.98 inference(monotonicity,[status(thm)],[9131])).
% 53.79/33.98 tff(9133,plain,
% 53.79/33.98 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB49)) | v117(constB49))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB49) | (~v121(constB49)))),
% 53.79/33.98 inference(transitivity,[status(thm)],[9132, 9130])).
% 53.79/33.98 tff(9134,plain,
% 53.79/33.98 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB49)) | v117(constB49))),
% 53.79/33.98 inference(quant_inst,[status(thm)],[])).
% 53.79/33.98 tff(9135,plain,
% 53.79/33.98 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB49) | (~v121(constB49))),
% 53.79/33.98 inference(modus_ponens,[status(thm)],[9134, 9133])).
% 53.79/33.98 tff(9136,plain,
% 53.79/33.98 ($false),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[9135, 1742, 9129, 9065])).
% 53.79/33.98 tff(9137,plain,(v100(constB50) | v90(constB50, 2)), inference(lemma,lemma(discharge,[]))).
% 53.79/33.98 tff(9138,plain,
% 53.79/33.98 (v90(constB50, 2)),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[9137, 8980])).
% 53.79/33.98 tff(9139,plain,
% 53.79/33.98 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB49)) | v114(constB49))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB49)) | v114(constB49))),
% 53.79/33.98 inference(rewrite,[status(thm)],[])).
% 53.79/33.98 tff(9140,plain,
% 53.79/33.98 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB49)) | v114(constB49))),
% 53.79/33.98 inference(quant_inst,[status(thm)],[])).
% 53.79/33.98 tff(9141,plain,
% 53.79/33.98 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB49)) | v114(constB49)),
% 53.79/33.98 inference(modus_ponens,[status(thm)],[9140, 9139])).
% 53.79/33.98 tff(9142,plain,
% 53.79/33.98 (~v124(constB49)),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[9141, 2674, 9044])).
% 53.79/33.98 tff(9143,assumption,(~v124(constB49)), introduced(assumption)).
% 53.79/33.98 tff(9144,assumption,(~v123(constB49)), introduced(assumption)).
% 53.79/33.98 tff(9145,assumption,(v90(constB50, 2)), introduced(assumption)).
% 53.79/33.98 tff(9146,plain,
% 53.79/33.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB49, 2) | (~nextState(constB49, constB50)) | v100(constB50) | (~v90(constB50, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB49, 2) | (~nextState(constB49, constB50)) | v100(constB50) | (~v90(constB50, 2)))),
% 53.79/33.98 inference(rewrite,[status(thm)],[])).
% 53.79/33.98 tff(9147,plain,
% 53.79/33.98 (((~nextState(constB49, constB50)) | v90(constB49, 2) | v100(constB50) | (~v90(constB50, 2))) <=> (v90(constB49, 2) | (~nextState(constB49, constB50)) | v100(constB50) | (~v90(constB50, 2)))),
% 53.79/33.98 inference(rewrite,[status(thm)],[])).
% 53.79/33.98 tff(9148,plain,
% 53.79/33.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB49, constB50)) | v90(constB49, 2) | v100(constB50) | (~v90(constB50, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB49, 2) | (~nextState(constB49, constB50)) | v100(constB50) | (~v90(constB50, 2))))),
% 53.79/33.98 inference(monotonicity,[status(thm)],[9147])).
% 53.79/33.98 tff(9149,plain,
% 53.79/33.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB49, constB50)) | v90(constB49, 2) | v100(constB50) | (~v90(constB50, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB49, 2) | (~nextState(constB49, constB50)) | v100(constB50) | (~v90(constB50, 2)))),
% 53.79/33.98 inference(transitivity,[status(thm)],[9148, 9146])).
% 53.79/33.98 tff(9150,plain,
% 53.79/33.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB49, constB50)) | v90(constB49, 2) | v100(constB50) | (~v90(constB50, 2)))),
% 53.79/33.98 inference(quant_inst,[status(thm)],[])).
% 53.79/33.98 tff(9151,plain,
% 53.79/33.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB49, 2) | (~nextState(constB49, constB50)) | v100(constB50) | (~v90(constB50, 2))),
% 53.79/33.98 inference(modus_ponens,[status(thm)],[9150, 9149])).
% 53.79/33.98 tff(9152,plain,
% 53.79/33.98 (v90(constB49, 2) | v100(constB50) | (~v90(constB50, 2))),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[9151, 905, 8974])).
% 53.79/33.98 tff(9153,plain,
% 53.79/33.98 (v90(constB49, 2)),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[9152, 8980, 9145])).
% 53.79/33.98 tff(9154,assumption,(~v90(constB49, 0)), introduced(assumption)).
% 53.79/33.98 tff(9155,plain,
% 53.79/33.98 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB49, 0) | v90(constB49, 1) | (~v90(constB49, 2)) | v123(constB49))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB49, 0) | v90(constB49, 1) | (~v90(constB49, 2)) | v123(constB49))),
% 53.79/33.98 inference(rewrite,[status(thm)],[])).
% 53.79/33.98 tff(9156,plain,
% 53.79/33.98 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB49, 0) | v90(constB49, 1) | (~v90(constB49, 2)) | v123(constB49))),
% 53.79/33.98 inference(quant_inst,[status(thm)],[])).
% 53.79/33.98 tff(9157,plain,
% 53.79/33.98 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB49, 0) | v90(constB49, 1) | (~v90(constB49, 2)) | v123(constB49)),
% 53.79/33.98 inference(modus_ponens,[status(thm)],[9156, 9155])).
% 53.79/33.98 tff(9158,plain,
% 53.79/33.98 (v90(constB49, 0) | v90(constB49, 1) | (~v90(constB49, 2))),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[9157, 2308, 9144])).
% 53.79/33.98 tff(9159,plain,
% 53.79/33.98 (~v90(constB49, 2)),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[9158, 9104, 9154])).
% 53.79/33.98 tff(9160,plain,
% 53.79/33.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB48, 0)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB48, 0)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, 0))),
% 53.79/33.98 inference(rewrite,[status(thm)],[])).
% 53.79/33.98 tff(9161,plain,
% 53.79/33.98 (((~nextState(constB48, constB49)) | (~v90(constB48, 0)) | v100(constB49) | v90(constB49, 0)) <=> ((~v90(constB48, 0)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, 0))),
% 53.79/33.98 inference(rewrite,[status(thm)],[])).
% 53.79/33.98 tff(9162,plain,
% 53.79/33.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB48, constB49)) | (~v90(constB48, 0)) | v100(constB49) | v90(constB49, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB48, 0)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, 0)))),
% 53.79/33.98 inference(monotonicity,[status(thm)],[9161])).
% 53.79/33.98 tff(9163,plain,
% 53.79/33.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB48, constB49)) | (~v90(constB48, 0)) | v100(constB49) | v90(constB49, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB48, 0)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, 0))),
% 53.79/33.98 inference(transitivity,[status(thm)],[9162, 9160])).
% 53.79/33.98 tff(9164,plain,
% 53.79/33.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB48, constB49)) | (~v90(constB48, 0)) | v100(constB49) | v90(constB49, 0))),
% 53.79/33.98 inference(quant_inst,[status(thm)],[])).
% 53.79/33.98 tff(9165,plain,
% 53.79/33.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB48, 0)) | (~nextState(constB48, constB49)) | v100(constB49) | v90(constB49, 0)),
% 53.79/33.98 inference(modus_ponens,[status(thm)],[9164, 9163])).
% 53.79/33.98 tff(9166,plain,
% 53.79/33.98 ((~v90(constB48, 0)) | v100(constB49) | v90(constB49, 0)),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[9165, 1395, 8882])).
% 53.79/33.98 tff(9167,plain,
% 53.79/33.98 ((~v90(constB48, 0)) | v90(constB49, 0)),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[9166, 8894])).
% 53.79/33.98 tff(9168,plain,
% 53.79/33.98 (~v90(constB48, 0)),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[9167, 9154])).
% 53.79/33.98 tff(9169,plain,
% 53.79/33.98 (~v90(constB48, 1)),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[8941, 9104])).
% 53.79/33.98 tff(9170,assumption,(~v90(constB48, 1)), introduced(assumption)).
% 53.79/33.98 tff(9171,assumption,(~v90(constB48, 2)), introduced(assumption)).
% 53.79/33.98 tff(9172,assumption,(~v90(constB48, 0)), introduced(assumption)).
% 53.79/33.98 tff(9173,assumption,(~v100(constB48)), introduced(assumption)).
% 53.79/33.98 tff(9174,plain,
% 53.79/33.98 (~v110(constB48)),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[8853, 9173])).
% 53.79/33.98 tff(9175,plain,
% 53.79/33.98 (~v108(constB47)),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[8827, 9174])).
% 53.79/33.98 tff(9176,plain,
% 53.79/33.98 (~v112(constB47)),
% 53.79/33.98 inference(unit_resolution,[status(thm)],[8816, 1075, 9175])).
% 53.79/33.98 tff(9177,plain,
% 53.79/33.98 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB47) | (~v26(constB47)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB47) | (~v26(constB47)))),
% 53.79/33.98 inference(rewrite,[status(thm)],[])).
% 53.79/33.98 tff(9178,plain,
% 53.79/33.98 (((~v26(constB47)) | v108(constB47)) <=> (v108(constB47) | (~v26(constB47)))),
% 53.79/33.98 inference(rewrite,[status(thm)],[])).
% 53.79/33.98 tff(9179,plain,
% 53.79/33.98 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB47)) | v108(constB47))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB47) | (~v26(constB47))))),
% 53.79/33.99 inference(monotonicity,[status(thm)],[9178])).
% 53.79/33.99 tff(9180,plain,
% 53.79/33.99 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB47)) | v108(constB47))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB47) | (~v26(constB47)))),
% 53.79/33.99 inference(transitivity,[status(thm)],[9179, 9177])).
% 53.79/33.99 tff(9181,plain,
% 53.79/33.99 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB47)) | v108(constB47))),
% 53.79/33.99 inference(quant_inst,[status(thm)],[])).
% 53.79/33.99 tff(9182,plain,
% 53.79/33.99 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB47) | (~v26(constB47))),
% 53.79/33.99 inference(modus_ponens,[status(thm)],[9181, 9180])).
% 53.79/33.99 tff(9183,plain,
% 53.79/33.99 (~v26(constB47)),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9182, 2050, 9175])).
% 53.79/33.99 tff(9184,plain,
% 53.79/33.99 (~v113(constB47)),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[8808, 1063, 9183, 9176])).
% 53.79/33.99 tff(9185,plain,
% 53.79/33.99 (~v114(constB47)),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[8797, 1049, 9184])).
% 53.79/33.99 tff(9186,plain,
% 53.79/33.99 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB47) | (~v115(constB47)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB47) | (~v115(constB47)))),
% 53.79/33.99 inference(rewrite,[status(thm)],[])).
% 53.79/33.99 tff(9187,plain,
% 53.79/33.99 (((~v115(constB47)) | v114(constB47)) <=> (v114(constB47) | (~v115(constB47)))),
% 53.79/33.99 inference(rewrite,[status(thm)],[])).
% 53.79/33.99 tff(9188,plain,
% 53.79/33.99 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB47)) | v114(constB47))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB47) | (~v115(constB47))))),
% 53.79/33.99 inference(monotonicity,[status(thm)],[9187])).
% 53.79/33.99 tff(9189,plain,
% 53.79/33.99 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB47)) | v114(constB47))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB47) | (~v115(constB47)))),
% 53.79/33.99 inference(transitivity,[status(thm)],[9188, 9186])).
% 53.79/33.99 tff(9190,plain,
% 53.79/33.99 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB47)) | v114(constB47))),
% 53.79/33.99 inference(quant_inst,[status(thm)],[])).
% 53.79/33.99 tff(9191,plain,
% 53.79/33.99 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB47) | (~v115(constB47))),
% 53.79/33.99 inference(modus_ponens,[status(thm)],[9190, 9189])).
% 53.79/33.99 tff(9192,plain,
% 53.79/33.99 (~v115(constB47)),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9191, 1035, 9185])).
% 53.79/33.99 tff(9193,plain,
% 53.79/33.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB47, 2)) | (~nextState(constB47, constB48)) | v100(constB48) | v90(constB48, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB47, 2)) | (~nextState(constB47, constB48)) | v100(constB48) | v90(constB48, 2))),
% 53.79/33.99 inference(rewrite,[status(thm)],[])).
% 53.79/33.99 tff(9194,plain,
% 53.79/33.99 (((~nextState(constB47, constB48)) | (~v90(constB47, 2)) | v100(constB48) | v90(constB48, 2)) <=> ((~v90(constB47, 2)) | (~nextState(constB47, constB48)) | v100(constB48) | v90(constB48, 2))),
% 53.79/33.99 inference(rewrite,[status(thm)],[])).
% 53.79/33.99 tff(9195,plain,
% 53.79/33.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB47, constB48)) | (~v90(constB47, 2)) | v100(constB48) | v90(constB48, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB47, 2)) | (~nextState(constB47, constB48)) | v100(constB48) | v90(constB48, 2)))),
% 53.79/33.99 inference(monotonicity,[status(thm)],[9194])).
% 53.79/33.99 tff(9196,plain,
% 53.79/33.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB47, constB48)) | (~v90(constB47, 2)) | v100(constB48) | v90(constB48, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB47, 2)) | (~nextState(constB47, constB48)) | v100(constB48) | v90(constB48, 2))),
% 53.79/33.99 inference(transitivity,[status(thm)],[9195, 9193])).
% 53.79/33.99 tff(9197,plain,
% 53.79/33.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB47, constB48)) | (~v90(constB47, 2)) | v100(constB48) | v90(constB48, 2))),
% 53.79/33.99 inference(quant_inst,[status(thm)],[])).
% 53.79/33.99 tff(9198,plain,
% 53.79/33.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB47, 2)) | (~nextState(constB47, constB48)) | v100(constB48) | v90(constB48, 2)),
% 53.79/33.99 inference(modus_ponens,[status(thm)],[9197, 9196])).
% 53.79/33.99 tff(9199,plain,
% 53.79/33.99 ((~v90(constB47, 2)) | v100(constB48) | v90(constB48, 2)),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9198, 2174, 8820])).
% 53.79/33.99 tff(9200,plain,
% 53.79/33.99 (~v90(constB47, 2)),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9199, 9173, 9171])).
% 53.79/33.99 tff(9201,plain,
% 53.79/33.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB47, 1)) | (~nextState(constB47, constB48)) | v100(constB48) | v90(constB48, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB47, 1)) | (~nextState(constB47, constB48)) | v100(constB48) | v90(constB48, 1))),
% 53.79/33.99 inference(rewrite,[status(thm)],[])).
% 53.79/33.99 tff(9202,plain,
% 53.79/33.99 (((~nextState(constB47, constB48)) | (~v90(constB47, 1)) | v100(constB48) | v90(constB48, 1)) <=> ((~v90(constB47, 1)) | (~nextState(constB47, constB48)) | v100(constB48) | v90(constB48, 1))),
% 53.79/33.99 inference(rewrite,[status(thm)],[])).
% 53.79/33.99 tff(9203,plain,
% 53.79/33.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB47, constB48)) | (~v90(constB47, 1)) | v100(constB48) | v90(constB48, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB47, 1)) | (~nextState(constB47, constB48)) | v100(constB48) | v90(constB48, 1)))),
% 53.79/33.99 inference(monotonicity,[status(thm)],[9202])).
% 53.79/33.99 tff(9204,plain,
% 53.79/33.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB47, constB48)) | (~v90(constB47, 1)) | v100(constB48) | v90(constB48, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB47, 1)) | (~nextState(constB47, constB48)) | v100(constB48) | v90(constB48, 1))),
% 53.79/33.99 inference(transitivity,[status(thm)],[9203, 9201])).
% 53.79/33.99 tff(9205,plain,
% 53.79/33.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB47, constB48)) | (~v90(constB47, 1)) | v100(constB48) | v90(constB48, 1))),
% 53.79/33.99 inference(quant_inst,[status(thm)],[])).
% 53.79/33.99 tff(9206,plain,
% 53.79/33.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB47, 1)) | (~nextState(constB47, constB48)) | v100(constB48) | v90(constB48, 1)),
% 53.79/33.99 inference(modus_ponens,[status(thm)],[9205, 9204])).
% 53.79/33.99 tff(9207,plain,
% 53.79/33.99 ((~v90(constB47, 1)) | v100(constB48) | v90(constB48, 1)),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9206, 1641, 8820])).
% 53.79/33.99 tff(9208,plain,
% 53.79/33.99 (~v90(constB47, 1)),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9207, 9173, 9170])).
% 53.79/33.99 tff(9209,plain,
% 53.79/33.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB47, 0)) | (~nextState(constB47, constB48)) | v100(constB48) | v90(constB48, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB47, 0)) | (~nextState(constB47, constB48)) | v100(constB48) | v90(constB48, 0))),
% 53.79/33.99 inference(rewrite,[status(thm)],[])).
% 53.79/33.99 tff(9210,plain,
% 53.79/33.99 (((~nextState(constB47, constB48)) | (~v90(constB47, 0)) | v100(constB48) | v90(constB48, 0)) <=> ((~v90(constB47, 0)) | (~nextState(constB47, constB48)) | v100(constB48) | v90(constB48, 0))),
% 53.79/33.99 inference(rewrite,[status(thm)],[])).
% 53.79/33.99 tff(9211,plain,
% 53.79/33.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB47, constB48)) | (~v90(constB47, 0)) | v100(constB48) | v90(constB48, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB47, 0)) | (~nextState(constB47, constB48)) | v100(constB48) | v90(constB48, 0)))),
% 53.79/33.99 inference(monotonicity,[status(thm)],[9210])).
% 53.79/33.99 tff(9212,plain,
% 53.79/33.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB47, constB48)) | (~v90(constB47, 0)) | v100(constB48) | v90(constB48, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB47, 0)) | (~nextState(constB47, constB48)) | v100(constB48) | v90(constB48, 0))),
% 53.79/33.99 inference(transitivity,[status(thm)],[9211, 9209])).
% 53.79/33.99 tff(9213,plain,
% 53.79/33.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB47, constB48)) | (~v90(constB47, 0)) | v100(constB48) | v90(constB48, 0))),
% 53.79/33.99 inference(quant_inst,[status(thm)],[])).
% 53.79/33.99 tff(9214,plain,
% 53.79/33.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB47, 0)) | (~nextState(constB47, constB48)) | v100(constB48) | v90(constB48, 0)),
% 53.79/33.99 inference(modus_ponens,[status(thm)],[9213, 9212])).
% 53.79/33.99 tff(9215,plain,
% 53.79/33.99 ((~v90(constB47, 0)) | v100(constB48) | v90(constB48, 0)),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9214, 1395, 8820])).
% 53.79/33.99 tff(9216,plain,
% 53.79/33.99 (~v90(constB47, 0)),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9215, 9173, 9172])).
% 53.79/33.99 tff(9217,plain,
% 53.79/33.99 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB47, 0) | v90(constB47, 1) | v90(constB47, 2) | v119(constB47))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB47, 0) | v90(constB47, 1) | v90(constB47, 2) | v119(constB47))),
% 53.79/33.99 inference(rewrite,[status(thm)],[])).
% 53.79/33.99 tff(9218,plain,
% 53.79/33.99 ((v90(constB47, 0) | v119(constB47) | v90(constB47, 1) | v90(constB47, 2)) <=> (v90(constB47, 0) | v90(constB47, 1) | v90(constB47, 2) | v119(constB47))),
% 53.79/33.99 inference(rewrite,[status(thm)],[])).
% 53.79/33.99 tff(9219,plain,
% 53.79/33.99 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB47, 0) | v119(constB47) | v90(constB47, 1) | v90(constB47, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB47, 0) | v90(constB47, 1) | v90(constB47, 2) | v119(constB47)))),
% 53.79/33.99 inference(monotonicity,[status(thm)],[9218])).
% 53.79/33.99 tff(9220,plain,
% 53.79/33.99 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB47, 0) | v119(constB47) | v90(constB47, 1) | v90(constB47, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB47, 0) | v90(constB47, 1) | v90(constB47, 2) | v119(constB47))),
% 53.79/33.99 inference(transitivity,[status(thm)],[9219, 9217])).
% 53.79/33.99 tff(9221,plain,
% 53.79/33.99 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB47, 0) | v119(constB47) | v90(constB47, 1) | v90(constB47, 2))),
% 53.79/33.99 inference(quant_inst,[status(thm)],[])).
% 53.79/33.99 tff(9222,plain,
% 53.79/33.99 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB47, 0) | v90(constB47, 1) | v90(constB47, 2) | v119(constB47)),
% 53.79/33.99 inference(modus_ponens,[status(thm)],[9221, 9220])).
% 53.79/33.99 tff(9223,plain,
% 53.79/33.99 (v119(constB47)),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9222, 968, 9216, 9208, 9200])).
% 53.79/33.99 tff(9224,plain,
% 53.79/33.99 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB47) | (~v119(constB47)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB47) | (~v119(constB47)))),
% 53.79/33.99 inference(rewrite,[status(thm)],[])).
% 53.79/33.99 tff(9225,plain,
% 53.79/33.99 (((~v119(constB47)) | v118(constB47)) <=> (v118(constB47) | (~v119(constB47)))),
% 53.79/33.99 inference(rewrite,[status(thm)],[])).
% 53.79/33.99 tff(9226,plain,
% 53.79/33.99 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB47)) | v118(constB47))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB47) | (~v119(constB47))))),
% 53.79/33.99 inference(monotonicity,[status(thm)],[9225])).
% 53.79/33.99 tff(9227,plain,
% 53.79/33.99 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB47)) | v118(constB47))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB47) | (~v119(constB47)))),
% 53.79/33.99 inference(transitivity,[status(thm)],[9226, 9224])).
% 53.79/33.99 tff(9228,plain,
% 53.79/33.99 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB47)) | v118(constB47))),
% 53.79/33.99 inference(quant_inst,[status(thm)],[])).
% 53.79/33.99 tff(9229,plain,
% 53.79/33.99 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB47) | (~v119(constB47))),
% 53.79/33.99 inference(modus_ponens,[status(thm)],[9228, 9227])).
% 53.79/33.99 tff(9230,plain,
% 53.79/33.99 (v118(constB47)),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9229, 982, 9223])).
% 53.79/33.99 tff(9231,plain,
% 53.79/33.99 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB47) | (~v118(constB47)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB47) | (~v118(constB47)))),
% 53.79/33.99 inference(rewrite,[status(thm)],[])).
% 53.79/33.99 tff(9232,plain,
% 53.79/33.99 (((~v118(constB47)) | v117(constB47)) <=> (v117(constB47) | (~v118(constB47)))),
% 53.79/33.99 inference(rewrite,[status(thm)],[])).
% 53.79/33.99 tff(9233,plain,
% 53.79/33.99 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB47)) | v117(constB47))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB47) | (~v118(constB47))))),
% 53.79/33.99 inference(monotonicity,[status(thm)],[9232])).
% 53.79/33.99 tff(9234,plain,
% 53.79/33.99 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB47)) | v117(constB47))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB47) | (~v118(constB47)))),
% 53.79/33.99 inference(transitivity,[status(thm)],[9233, 9231])).
% 53.79/33.99 tff(9235,plain,
% 53.79/33.99 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB47)) | v117(constB47))),
% 53.79/33.99 inference(quant_inst,[status(thm)],[])).
% 53.79/33.99 tff(9236,plain,
% 53.79/33.99 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB47) | (~v118(constB47))),
% 53.79/33.99 inference(modus_ponens,[status(thm)],[9235, 9234])).
% 53.79/33.99 tff(9237,plain,
% 53.79/33.99 (v117(constB47)),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9236, 993, 9230])).
% 53.79/33.99 tff(9238,plain,
% 53.79/33.99 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB47) | (~v117(constB47)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB47) | (~v117(constB47)))),
% 53.79/33.99 inference(rewrite,[status(thm)],[])).
% 53.79/33.99 tff(9239,plain,
% 53.79/33.99 (((~v117(constB47)) | v116(constB47)) <=> (v116(constB47) | (~v117(constB47)))),
% 53.79/33.99 inference(rewrite,[status(thm)],[])).
% 53.79/33.99 tff(9240,plain,
% 53.79/33.99 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB47)) | v116(constB47))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB47) | (~v117(constB47))))),
% 53.79/33.99 inference(monotonicity,[status(thm)],[9239])).
% 53.79/33.99 tff(9241,plain,
% 53.79/33.99 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB47)) | v116(constB47))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB47) | (~v117(constB47)))),
% 53.79/33.99 inference(transitivity,[status(thm)],[9240, 9238])).
% 53.79/33.99 tff(9242,plain,
% 53.79/33.99 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB47)) | v116(constB47))),
% 53.79/33.99 inference(quant_inst,[status(thm)],[])).
% 53.79/33.99 tff(9243,plain,
% 53.79/33.99 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB47) | (~v117(constB47))),
% 53.79/33.99 inference(modus_ponens,[status(thm)],[9242, 9241])).
% 53.79/33.99 tff(9244,plain,
% 53.79/33.99 (v116(constB47)),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9243, 1007, 9237])).
% 53.79/33.99 tff(9245,plain,
% 53.79/33.99 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB47) | (~v116(constB47)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB47) | (~v116(constB47)))),
% 53.79/33.99 inference(rewrite,[status(thm)],[])).
% 53.79/33.99 tff(9246,plain,
% 53.79/33.99 (((~v116(constB47)) | v115(constB47)) <=> (v115(constB47) | (~v116(constB47)))),
% 53.79/33.99 inference(rewrite,[status(thm)],[])).
% 53.79/33.99 tff(9247,plain,
% 53.79/33.99 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB47)) | v115(constB47))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB47) | (~v116(constB47))))),
% 53.79/33.99 inference(monotonicity,[status(thm)],[9246])).
% 53.79/33.99 tff(9248,plain,
% 53.79/33.99 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB47)) | v115(constB47))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB47) | (~v116(constB47)))),
% 53.79/33.99 inference(transitivity,[status(thm)],[9247, 9245])).
% 53.79/33.99 tff(9249,plain,
% 53.79/33.99 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB47)) | v115(constB47))),
% 53.79/33.99 inference(quant_inst,[status(thm)],[])).
% 53.79/33.99 tff(9250,plain,
% 53.79/33.99 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB47) | (~v116(constB47))),
% 53.79/33.99 inference(modus_ponens,[status(thm)],[9249, 9248])).
% 53.79/33.99 tff(9251,plain,
% 53.79/33.99 ($false),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9250, 1021, 9244, 9192])).
% 53.79/33.99 tff(9252,plain,(v100(constB48) | v90(constB48, 0) | v90(constB48, 2) | v90(constB48, 1)), inference(lemma,lemma(discharge,[]))).
% 53.79/33.99 tff(9253,plain,
% 53.79/33.99 (v100(constB48)),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9252, 9172, 9171, 9170])).
% 53.79/33.99 tff(9254,plain,
% 53.79/33.99 ((~v129(constB48, 1)) | (~v100(constB48))),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[8931, 1623, 9170])).
% 53.79/33.99 tff(9255,plain,
% 53.79/33.99 (~v129(constB48, 1)),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9254, 9253])).
% 53.79/33.99 tff(9256,plain,
% 53.79/33.99 (~v127(constB47, 1)),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[8924, 9255])).
% 53.79/33.99 tff(9257,plain,
% 53.79/33.99 ((~v129(constB48, 2)) | (~v100(constB48))),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[8874, 2324, 9171])).
% 53.79/33.99 tff(9258,plain,
% 53.79/33.99 (~v129(constB48, 2)),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9257, 9253])).
% 53.79/33.99 tff(9259,plain,
% 53.79/33.99 (~v127(constB47, 2)),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[8867, 9258])).
% 53.79/33.99 tff(9260,assumption,(~v26(constB47)), introduced(assumption)).
% 53.79/33.99 tff(9261,assumption,(~v127(constB47, 2)), introduced(assumption)).
% 53.79/33.99 tff(9262,plain,
% 53.79/33.99 (v26(constB47) | (~v130(constB47, 2))),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[8861, 1981, 9261])).
% 53.79/33.99 tff(9263,plain,
% 53.79/33.99 (~v130(constB47, 2)),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9262, 9260])).
% 53.79/33.99 tff(9264,plain,
% 53.79/33.99 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB47)) | v130(constB47, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB47)) | v130(constB47, 2))),
% 53.79/33.99 inference(rewrite,[status(thm)],[])).
% 53.79/33.99 tff(9265,plain,
% 53.79/33.99 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB47)) | v130(constB47, 2))),
% 53.79/33.99 inference(quant_inst,[status(thm)],[])).
% 53.79/33.99 tff(9266,plain,
% 53.79/33.99 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB47)) | v130(constB47, 2)),
% 53.79/33.99 inference(modus_ponens,[status(thm)],[9265, 9264])).
% 53.79/33.99 tff(9267,plain,
% 53.79/33.99 (~v123(constB47)),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9266, 2525, 9263])).
% 53.79/33.99 tff(9268,assumption,(~v127(constB47, 1)), introduced(assumption)).
% 53.79/33.99 tff(9269,plain,
% 53.79/33.99 (v26(constB47) | (~v130(constB47, 1))),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[8918, 1593, 9268])).
% 53.79/33.99 tff(9270,plain,
% 53.79/33.99 (~v130(constB47, 1)),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9269, 9260])).
% 53.79/33.99 tff(9271,plain,
% 53.79/33.99 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB47)) | v130(constB47, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB47)) | v130(constB47, 1))),
% 53.79/33.99 inference(rewrite,[status(thm)],[])).
% 53.79/33.99 tff(9272,plain,
% 53.79/33.99 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB47)) | v130(constB47, 1))),
% 53.79/33.99 inference(quant_inst,[status(thm)],[])).
% 53.79/33.99 tff(9273,plain,
% 53.79/33.99 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB47)) | v130(constB47, 1)),
% 53.79/33.99 inference(modus_ponens,[status(thm)],[9272, 9271])).
% 53.79/33.99 tff(9274,plain,
% 53.79/33.99 (~v121(constB47)),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9273, 1877, 9270])).
% 53.79/33.99 tff(9275,assumption,(~v127(constB47, 0)), introduced(assumption)).
% 53.79/33.99 tff(9276,plain,
% 53.79/33.99 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB47) | (~v130(constB47, 0)) | v127(constB47, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB47) | (~v130(constB47, 0)) | v127(constB47, 0))),
% 53.79/33.99 inference(rewrite,[status(thm)],[])).
% 53.79/33.99 tff(9277,plain,
% 53.79/33.99 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB47) | (~v130(constB47, 0)) | v127(constB47, 0))),
% 53.79/33.99 inference(quant_inst,[status(thm)],[])).
% 53.79/33.99 tff(9278,plain,
% 53.79/33.99 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB47) | (~v130(constB47, 0)) | v127(constB47, 0)),
% 53.79/33.99 inference(modus_ponens,[status(thm)],[9277, 9276])).
% 53.79/33.99 tff(9279,plain,
% 53.79/33.99 (v26(constB47) | (~v130(constB47, 0))),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9278, 1347, 9275])).
% 53.79/33.99 tff(9280,plain,
% 53.79/33.99 (~v130(constB47, 0)),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9279, 9260])).
% 53.79/33.99 tff(9281,plain,
% 53.79/33.99 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB47)) | v130(constB47, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB47)) | v130(constB47, 1))),
% 53.79/33.99 inference(rewrite,[status(thm)],[])).
% 53.79/33.99 tff(9282,plain,
% 53.79/33.99 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB47)) | v130(constB47, 1))),
% 53.79/33.99 inference(quant_inst,[status(thm)],[])).
% 53.79/33.99 tff(9283,plain,
% 53.79/33.99 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB47)) | v130(constB47, 1)),
% 53.79/33.99 inference(modus_ponens,[status(thm)],[9282, 9281])).
% 53.79/33.99 tff(9284,plain,
% 53.79/33.99 (~v120(constB47)),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9283, 1579, 9270])).
% 53.79/33.99 tff(9285,plain,
% 53.79/33.99 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB47)) | v130(constB47, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB47)) | v130(constB47, 2))),
% 53.79/33.99 inference(rewrite,[status(thm)],[])).
% 53.79/33.99 tff(9286,plain,
% 53.79/33.99 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB47)) | v130(constB47, 2))),
% 53.79/33.99 inference(quant_inst,[status(thm)],[])).
% 53.79/33.99 tff(9287,plain,
% 53.79/33.99 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB47)) | v130(constB47, 2)),
% 53.79/33.99 inference(modus_ponens,[status(thm)],[9286, 9285])).
% 53.79/33.99 tff(9288,plain,
% 53.79/33.99 (~v122(constB47)),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9287, 1967, 9263])).
% 53.79/33.99 tff(9289,plain,
% 53.79/33.99 (~v124(constB47)),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[8914, 2808, 9270])).
% 53.79/33.99 tff(9290,plain,
% 53.79/33.99 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB47) | v120(constB47) | v121(constB47) | v122(constB47) | v123(constB47) | v124(constB47) | v130(constB47, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB47) | v120(constB47) | v121(constB47) | v122(constB47) | v123(constB47) | v124(constB47) | v130(constB47, 0))),
% 53.79/33.99 inference(rewrite,[status(thm)],[])).
% 53.79/33.99 tff(9291,plain,
% 53.79/33.99 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB47) | v120(constB47) | v121(constB47) | v122(constB47) | v123(constB47) | v124(constB47) | v130(constB47, 0))),
% 53.79/33.99 inference(quant_inst,[status(thm)],[])).
% 53.79/33.99 tff(9292,plain,
% 53.79/33.99 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB47) | v120(constB47) | v121(constB47) | v122(constB47) | v123(constB47) | v124(constB47) | v130(constB47, 0)),
% 53.79/33.99 inference(modus_ponens,[status(thm)],[9291, 9290])).
% 53.79/33.99 tff(9293,plain,
% 53.79/33.99 (v119(constB47)),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9292, 3413, 9289, 9288, 9284, 9280, 9274, 9267])).
% 53.79/33.99 tff(9294,plain,
% 53.79/33.99 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB47)) | v130(constB47, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB47)) | v130(constB47, 0))),
% 53.79/33.99 inference(rewrite,[status(thm)],[])).
% 53.79/33.99 tff(9295,plain,
% 53.79/33.99 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB47)) | v130(constB47, 0))),
% 53.79/33.99 inference(quant_inst,[status(thm)],[])).
% 53.79/33.99 tff(9296,plain,
% 53.79/33.99 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB47)) | v130(constB47, 0)),
% 53.79/33.99 inference(modus_ponens,[status(thm)],[9295, 9294])).
% 53.79/33.99 tff(9297,plain,
% 53.79/33.99 ($false),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9296, 1333, 9280, 9293])).
% 53.79/33.99 tff(9298,plain,(v26(constB47) | v127(constB47, 0) | v127(constB47, 2) | v127(constB47, 1)), inference(lemma,lemma(discharge,[]))).
% 53.79/33.99 tff(9299,plain,
% 53.79/33.99 (v127(constB47, 0)),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9298, 9259, 8802, 9256])).
% 53.79/33.99 tff(9300,plain,
% 53.79/33.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB47, constB48)) | (~v127(constB47, 0)) | v129(constB48, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB47, constB48)) | (~v127(constB47, 0)) | v129(constB48, 0))),
% 53.79/33.99 inference(rewrite,[status(thm)],[])).
% 53.79/33.99 tff(9301,plain,
% 53.79/33.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB47, constB48)) | (~v127(constB47, 0)) | v129(constB48, 0))),
% 53.79/33.99 inference(quant_inst,[status(thm)],[])).
% 53.79/33.99 tff(9302,plain,
% 53.79/33.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB47, constB48)) | (~v127(constB47, 0)) | v129(constB48, 0)),
% 53.79/33.99 inference(modus_ponens,[status(thm)],[9301, 9300])).
% 53.79/33.99 tff(9303,plain,
% 53.79/33.99 ((~v127(constB47, 0)) | v129(constB48, 0)),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9302, 1362, 8820])).
% 53.79/33.99 tff(9304,plain,
% 53.79/33.99 (v129(constB48, 0)),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9303, 9299])).
% 53.79/33.99 tff(9305,plain,
% 53.79/33.99 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB48, 0) | (~v129(constB48, 0)) | (~v100(constB48)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB48, 0) | (~v129(constB48, 0)) | (~v100(constB48)))),
% 53.79/33.99 inference(rewrite,[status(thm)],[])).
% 53.79/33.99 tff(9306,plain,
% 53.79/33.99 ((v90(constB48, 0) | (~v100(constB48)) | (~v129(constB48, 0))) <=> (v90(constB48, 0) | (~v129(constB48, 0)) | (~v100(constB48)))),
% 53.79/33.99 inference(rewrite,[status(thm)],[])).
% 53.79/33.99 tff(9307,plain,
% 53.79/33.99 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB48, 0) | (~v100(constB48)) | (~v129(constB48, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB48, 0) | (~v129(constB48, 0)) | (~v100(constB48))))),
% 53.79/33.99 inference(monotonicity,[status(thm)],[9306])).
% 53.79/33.99 tff(9308,plain,
% 53.79/33.99 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB48, 0) | (~v100(constB48)) | (~v129(constB48, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB48, 0) | (~v129(constB48, 0)) | (~v100(constB48)))),
% 53.79/33.99 inference(transitivity,[status(thm)],[9307, 9305])).
% 53.79/33.99 tff(9309,plain,
% 53.79/33.99 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB48, 0) | (~v100(constB48)) | (~v129(constB48, 0)))),
% 53.79/33.99 inference(quant_inst,[status(thm)],[])).
% 53.79/33.99 tff(9310,plain,
% 53.79/33.99 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB48, 0) | (~v129(constB48, 0)) | (~v100(constB48))),
% 53.79/33.99 inference(modus_ponens,[status(thm)],[9309, 9308])).
% 53.79/33.99 tff(9311,plain,
% 53.79/33.99 ($false),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9310, 1377, 9253, 9172, 9304])).
% 53.79/33.99 tff(9312,plain,(v90(constB48, 0) | v90(constB48, 2) | v90(constB48, 1)), inference(lemma,lemma(discharge,[]))).
% 53.79/33.99 tff(9313,plain,
% 53.79/33.99 (v90(constB48, 2)),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9312, 9169, 9168])).
% 53.79/33.99 tff(9314,plain,
% 53.79/33.99 ($false),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[8902, 9313, 9159])).
% 53.79/33.99 tff(9315,plain,(v90(constB49, 1) | v90(constB49, 0) | v123(constB49)), inference(lemma,lemma(discharge,[]))).
% 53.79/33.99 tff(9316,plain,
% 53.79/33.99 (v90(constB49, 0)),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9315, 9104, 9144])).
% 53.79/33.99 tff(9317,assumption,(v90(constB49, 2)), introduced(assumption)).
% 53.79/33.99 tff(9318,plain,
% 53.79/33.99 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB49, 0)) | v90(constB49, 1) | (~v90(constB49, 2)) | v124(constB49))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB49, 0)) | v90(constB49, 1) | (~v90(constB49, 2)) | v124(constB49))),
% 53.79/33.99 inference(rewrite,[status(thm)],[])).
% 53.79/33.99 tff(9319,plain,
% 53.79/33.99 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB49, 0)) | v90(constB49, 1) | (~v90(constB49, 2)) | v124(constB49))),
% 53.79/33.99 inference(quant_inst,[status(thm)],[])).
% 53.79/33.99 tff(9320,plain,
% 53.79/33.99 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB49, 0)) | v90(constB49, 1) | (~v90(constB49, 2)) | v124(constB49)),
% 53.79/33.99 inference(modus_ponens,[status(thm)],[9319, 9318])).
% 53.79/33.99 tff(9321,plain,
% 53.79/33.99 ((~v90(constB49, 0)) | v90(constB49, 1) | v124(constB49)),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9320, 2663, 9317])).
% 53.79/33.99 tff(9322,plain,
% 53.79/33.99 ($false),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9321, 9316, 9104, 9143])).
% 53.79/33.99 tff(9323,plain,(v90(constB49, 1) | v124(constB49) | (~v90(constB49, 2)) | v123(constB49)), inference(lemma,lemma(discharge,[]))).
% 53.79/33.99 tff(9324,plain,
% 53.79/33.99 (v90(constB49, 1)),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9323, 9153, 9144, 9143])).
% 53.79/33.99 tff(9325,plain,
% 53.79/33.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB48, 1) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB48, 1) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, 1)))),
% 53.79/33.99 inference(rewrite,[status(thm)],[])).
% 53.79/33.99 tff(9326,plain,
% 53.79/33.99 (((~nextState(constB48, constB49)) | v90(constB48, 1) | v100(constB49) | (~v90(constB49, 1))) <=> (v90(constB48, 1) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, 1)))),
% 53.79/33.99 inference(rewrite,[status(thm)],[])).
% 53.79/33.99 tff(9327,plain,
% 53.79/33.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB48, constB49)) | v90(constB48, 1) | v100(constB49) | (~v90(constB49, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB48, 1) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, 1))))),
% 53.79/33.99 inference(monotonicity,[status(thm)],[9326])).
% 53.79/33.99 tff(9328,plain,
% 53.79/33.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB48, constB49)) | v90(constB48, 1) | v100(constB49) | (~v90(constB49, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB48, 1) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, 1)))),
% 53.79/33.99 inference(transitivity,[status(thm)],[9327, 9325])).
% 53.79/33.99 tff(9329,plain,
% 53.79/33.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB48, constB49)) | v90(constB48, 1) | v100(constB49) | (~v90(constB49, 1)))),
% 53.79/33.99 inference(quant_inst,[status(thm)],[])).
% 53.79/33.99 tff(9330,plain,
% 53.79/33.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB48, 1) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, 1))),
% 53.79/33.99 inference(modus_ponens,[status(thm)],[9329, 9328])).
% 53.79/33.99 tff(9331,plain,
% 53.79/33.99 (v90(constB48, 1) | v100(constB49) | (~v90(constB49, 1))),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9330, 926, 8882])).
% 53.79/33.99 tff(9332,plain,
% 53.79/33.99 (v90(constB48, 1) | (~v90(constB49, 1))),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9331, 8894])).
% 53.79/33.99 tff(9333,plain,
% 53.79/33.99 (v90(constB48, 1)),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9332, 9324])).
% 53.79/33.99 tff(9334,plain,
% 53.79/33.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB48, 2) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB48, 2) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, 2)))),
% 53.79/33.99 inference(rewrite,[status(thm)],[])).
% 53.79/33.99 tff(9335,plain,
% 53.79/33.99 (((~nextState(constB48, constB49)) | v90(constB48, 2) | v100(constB49) | (~v90(constB49, 2))) <=> (v90(constB48, 2) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, 2)))),
% 53.79/33.99 inference(rewrite,[status(thm)],[])).
% 53.79/33.99 tff(9336,plain,
% 53.79/33.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB48, constB49)) | v90(constB48, 2) | v100(constB49) | (~v90(constB49, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB48, 2) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, 2))))),
% 53.79/33.99 inference(monotonicity,[status(thm)],[9335])).
% 53.79/33.99 tff(9337,plain,
% 53.79/33.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB48, constB49)) | v90(constB48, 2) | v100(constB49) | (~v90(constB49, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB48, 2) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, 2)))),
% 53.79/33.99 inference(transitivity,[status(thm)],[9336, 9334])).
% 53.79/33.99 tff(9338,plain,
% 53.79/33.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB48, constB49)) | v90(constB48, 2) | v100(constB49) | (~v90(constB49, 2)))),
% 53.79/33.99 inference(quant_inst,[status(thm)],[])).
% 53.79/33.99 tff(9339,plain,
% 53.79/33.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB48, 2) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, 2))),
% 53.79/33.99 inference(modus_ponens,[status(thm)],[9338, 9337])).
% 53.79/33.99 tff(9340,plain,
% 53.79/33.99 (v90(constB48, 2) | v100(constB49) | (~v90(constB49, 2))),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9339, 905, 8882])).
% 53.79/33.99 tff(9341,plain,
% 53.79/33.99 (v90(constB48, 2) | (~v90(constB49, 2))),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9340, 8894])).
% 53.79/33.99 tff(9342,plain,
% 53.79/33.99 (v90(constB48, 2)),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9341, 9153])).
% 53.79/33.99 tff(9343,assumption,(~v90(constB49, 2)), introduced(assumption)).
% 53.79/33.99 tff(9344,plain,
% 53.79/33.99 (~v90(constB48, 2)),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[8902, 9343])).
% 53.79/33.99 tff(9345,plain,
% 53.79/33.99 (v90(constB48, 1)),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9312, 9344, 9168])).
% 53.79/33.99 tff(9346,plain,
% 53.79/33.99 (v90(constB49, 1)),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[8941, 9345])).
% 53.79/33.99 tff(9347,plain,
% 53.79/33.99 ((~v90(constB49, 1)) | v90(constB49, 2) | v121(constB49)),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9127, 1731, 9154])).
% 53.79/33.99 tff(9348,plain,
% 53.79/33.99 (v121(constB49)),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9347, 9346, 9343])).
% 53.79/33.99 tff(9349,plain,
% 53.79/33.99 (v100(constB50)),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9152, 9343, 9145])).
% 53.79/33.99 tff(9350,plain,
% 53.79/33.99 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB50, 2)) | v129(constB50, 2) | (~v100(constB50)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB50, 2)) | v129(constB50, 2) | (~v100(constB50)))),
% 53.79/33.99 inference(rewrite,[status(thm)],[])).
% 53.79/33.99 tff(9351,plain,
% 53.79/33.99 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB50, 2)) | v129(constB50, 2) | (~v100(constB50)))),
% 53.79/33.99 inference(quant_inst,[status(thm)],[])).
% 53.79/33.99 tff(9352,plain,
% 53.79/33.99 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB50, 2)) | v129(constB50, 2) | (~v100(constB50))),
% 53.79/33.99 inference(modus_ponens,[status(thm)],[9351, 9350])).
% 53.79/33.99 tff(9353,plain,
% 53.79/33.99 (v129(constB50, 2) | (~v100(constB50))),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9352, 1223, 9145])).
% 53.79/33.99 tff(9354,plain,
% 53.79/33.99 (v129(constB50, 2)),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9353, 9349])).
% 53.79/33.99 tff(9355,plain,
% 53.79/33.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB49, constB50)) | v127(constB49, 2) | (~v129(constB50, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB49, constB50)) | v127(constB49, 2) | (~v129(constB50, 2)))),
% 53.79/33.99 inference(rewrite,[status(thm)],[])).
% 53.79/33.99 tff(9356,plain,
% 53.79/33.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB49, constB50)) | v127(constB49, 2) | (~v129(constB50, 2)))),
% 53.79/33.99 inference(quant_inst,[status(thm)],[])).
% 53.79/33.99 tff(9357,plain,
% 53.79/33.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB49, constB50)) | v127(constB49, 2) | (~v129(constB50, 2))),
% 53.79/33.99 inference(modus_ponens,[status(thm)],[9356, 9355])).
% 53.79/33.99 tff(9358,plain,
% 53.79/33.99 (v127(constB49, 2) | (~v129(constB50, 2))),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9357, 1208, 8974])).
% 53.79/33.99 tff(9359,plain,
% 53.79/33.99 (v127(constB49, 2)),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9358, 9354])).
% 53.79/33.99 tff(9360,plain,
% 53.79/33.99 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB49, 2)) | v26(constB49) | v130(constB49, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB49, 2)) | v26(constB49) | v130(constB49, 2))),
% 53.79/33.99 inference(rewrite,[status(thm)],[])).
% 53.79/33.99 tff(9361,plain,
% 53.79/33.99 ((v26(constB49) | v130(constB49, 2) | (~v127(constB49, 2))) <=> ((~v127(constB49, 2)) | v26(constB49) | v130(constB49, 2))),
% 53.79/33.99 inference(rewrite,[status(thm)],[])).
% 53.79/33.99 tff(9362,plain,
% 53.79/33.99 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB49) | v130(constB49, 2) | (~v127(constB49, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB49, 2)) | v26(constB49) | v130(constB49, 2)))),
% 53.79/33.99 inference(monotonicity,[status(thm)],[9361])).
% 53.79/33.99 tff(9363,plain,
% 53.79/33.99 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB49) | v130(constB49, 2) | (~v127(constB49, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB49, 2)) | v26(constB49) | v130(constB49, 2))),
% 53.79/33.99 inference(transitivity,[status(thm)],[9362, 9360])).
% 53.79/33.99 tff(9364,plain,
% 53.79/33.99 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB49) | v130(constB49, 2) | (~v127(constB49, 2)))),
% 53.79/33.99 inference(quant_inst,[status(thm)],[])).
% 53.79/33.99 tff(9365,plain,
% 53.79/33.99 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB49, 2)) | v26(constB49) | v130(constB49, 2)),
% 53.79/33.99 inference(modus_ponens,[status(thm)],[9364, 9363])).
% 53.79/33.99 tff(9366,plain,
% 53.79/33.99 ((~v127(constB49, 2)) | v130(constB49, 2)),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9365, 1190, 8966])).
% 53.79/33.99 tff(9367,plain,
% 53.79/33.99 (v130(constB49, 2)),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9366, 9359])).
% 53.79/33.99 tff(9368,plain,
% 53.79/33.99 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB49)) | (~v130(constB49, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB49)) | (~v130(constB49, 2)))),
% 53.79/33.99 inference(rewrite,[status(thm)],[])).
% 53.79/33.99 tff(9369,plain,
% 53.79/33.99 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB49)) | (~v130(constB49, 2)))),
% 53.79/33.99 inference(quant_inst,[status(thm)],[])).
% 53.79/33.99 tff(9370,plain,
% 53.79/33.99 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB49)) | (~v130(constB49, 2))),
% 53.79/33.99 inference(modus_ponens,[status(thm)],[9369, 9368])).
% 53.79/33.99 tff(9371,plain,
% 53.79/33.99 ($false),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9370, 1821, 9367, 9348])).
% 53.79/33.99 tff(9372,plain,(v90(constB49, 2) | v90(constB49, 0) | (~v90(constB50, 2))), inference(lemma,lemma(discharge,[]))).
% 53.79/33.99 tff(9373,plain,
% 53.79/33.99 (v90(constB49, 2)),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9372, 9154, 9145])).
% 53.79/33.99 tff(9374,plain,
% 53.79/33.99 (v90(constB49, 1)),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9315, 9154, 9144])).
% 53.79/33.99 tff(9375,plain,
% 53.79/33.99 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB49, 0) | (~v90(constB49, 1)) | (~v90(constB49, 2)) | v125(constB49))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB49, 0) | (~v90(constB49, 1)) | (~v90(constB49, 2)) | v125(constB49))),
% 53.79/33.99 inference(rewrite,[status(thm)],[])).
% 53.79/33.99 tff(9376,plain,
% 53.79/33.99 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB49, 0) | (~v90(constB49, 1)) | (~v90(constB49, 2)) | v125(constB49))),
% 53.79/33.99 inference(quant_inst,[status(thm)],[])).
% 53.79/33.99 tff(9377,plain,
% 53.79/33.99 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB49, 0) | (~v90(constB49, 1)) | (~v90(constB49, 2)) | v125(constB49)),
% 53.79/33.99 inference(modus_ponens,[status(thm)],[9376, 9375])).
% 53.79/33.99 tff(9378,plain,
% 53.79/33.99 (v125(constB49)),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9377, 2279, 9154, 9374, 9373])).
% 53.79/33.99 tff(9379,plain,
% 53.79/33.99 (~v122(constB49)),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[8910, 2797, 9373])).
% 53.79/33.99 tff(9380,plain,
% 53.79/33.99 (~v121(constB49)),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[8906, 2857, 9373])).
% 53.79/33.99 tff(9381,plain,
% 53.79/33.99 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v120(constB49)) | (~v90(constB49, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | (~v120(constB49)) | (~v90(constB49, 2)))),
% 53.79/33.99 inference(rewrite,[status(thm)],[])).
% 53.79/33.99 tff(9382,plain,
% 53.79/33.99 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v120(constB49)) | (~v90(constB49, 2)))),
% 53.79/33.99 inference(quant_inst,[status(thm)],[])).
% 53.79/33.99 tff(9383,plain,
% 53.79/33.99 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | (~v120(constB49)) | (~v90(constB49, 2))),
% 53.79/33.99 inference(modus_ponens,[status(thm)],[9382, 9381])).
% 53.79/33.99 tff(9384,plain,
% 53.79/33.99 (~v120(constB49)),
% 53.79/33.99 inference(unit_resolution,[status(thm)],[9383, 3825, 9373])).
% 53.79/33.99 tff(9385,plain,
% 53.79/33.99 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v119(constB49)) | (~v90(constB49, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | (~v119(constB49)) | (~v90(constB49, 2)))),
% 53.79/34.00 inference(rewrite,[status(thm)],[])).
% 53.79/34.00 tff(9386,plain,
% 53.79/34.00 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v119(constB49)) | (~v90(constB49, 2)))),
% 53.79/34.00 inference(quant_inst,[status(thm)],[])).
% 53.79/34.00 tff(9387,plain,
% 53.79/34.00 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | (~v119(constB49)) | (~v90(constB49, 2))),
% 53.79/34.00 inference(modus_ponens,[status(thm)],[9386, 9385])).
% 53.79/34.00 tff(9388,plain,
% 53.79/34.00 (~v119(constB49)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9387, 3814, 9373])).
% 53.79/34.00 tff(9389,plain,
% 53.79/34.00 (~v124(constB49)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[8953, 2890, 9374])).
% 53.79/34.00 tff(9390,plain,
% 53.79/34.00 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, 2)))),
% 53.79/34.00 inference(rewrite,[status(thm)],[])).
% 53.79/34.00 tff(9391,plain,
% 53.79/34.00 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, 2)))),
% 53.79/34.00 inference(quant_inst,[status(thm)],[])).
% 53.79/34.00 tff(9392,plain,
% 53.79/34.00 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, 2))),
% 53.79/34.00 inference(modus_ponens,[status(thm)],[9391, 9390])).
% 53.79/34.00 tff(9393,plain,
% 53.79/34.00 (v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v124(constB49) | (~v130(constB49, 2))),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9392, 2904, 9144])).
% 53.79/34.00 tff(9394,plain,
% 53.79/34.00 (~v130(constB49, 2)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9393, 9389, 9388, 9384, 9380, 9379])).
% 53.79/34.00 tff(9395,plain,
% 53.79/34.00 (~v127(constB49, 2)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9366, 9394])).
% 53.79/34.00 tff(9396,plain,
% 53.79/34.00 (~v129(constB50, 2)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9358, 9395])).
% 53.79/34.00 tff(9397,plain,
% 53.79/34.00 (~v100(constB50)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9353, 9396])).
% 53.79/34.00 tff(9398,plain,
% 53.79/34.00 (~v110(constB50)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9005, 9397])).
% 53.79/34.00 tff(9399,plain,
% 53.79/34.00 (~v108(constB49)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9013, 9398])).
% 53.79/34.00 tff(9400,plain,
% 53.79/34.00 (~v113(constB49)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9039, 9399])).
% 53.79/34.00 tff(9401,plain,
% 53.79/34.00 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB49)) | v113(constB49))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB49)) | v113(constB49))),
% 53.79/34.00 inference(rewrite,[status(thm)],[])).
% 53.79/34.00 tff(9402,plain,
% 53.79/34.00 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB49)) | v113(constB49))),
% 53.79/34.00 inference(quant_inst,[status(thm)],[])).
% 53.79/34.00 tff(9403,plain,
% 53.79/34.00 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB49)) | v113(constB49)),
% 53.79/34.00 inference(modus_ponens,[status(thm)],[9402, 9401])).
% 53.79/34.00 tff(9404,plain,
% 53.79/34.00 ($false),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9403, 2262, 9400, 9378])).
% 53.79/34.00 tff(9405,plain,(v90(constB49, 0) | (~v90(constB50, 2)) | v123(constB49)), inference(lemma,lemma(discharge,[]))).
% 53.79/34.00 tff(9406,plain,
% 53.79/34.00 (v90(constB49, 0)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9405, 9145, 9144])).
% 53.79/34.00 tff(9407,plain,
% 53.79/34.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB49, 0)) | (~nextState(constB49, constB50)) | v100(constB50) | v90(constB50, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB49, 0)) | (~nextState(constB49, constB50)) | v100(constB50) | v90(constB50, 0))),
% 53.79/34.00 inference(rewrite,[status(thm)],[])).
% 53.79/34.00 tff(9408,plain,
% 53.79/34.00 (((~nextState(constB49, constB50)) | (~v90(constB49, 0)) | v100(constB50) | v90(constB50, 0)) <=> ((~v90(constB49, 0)) | (~nextState(constB49, constB50)) | v100(constB50) | v90(constB50, 0))),
% 53.79/34.00 inference(rewrite,[status(thm)],[])).
% 53.79/34.00 tff(9409,plain,
% 53.79/34.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB49, constB50)) | (~v90(constB49, 0)) | v100(constB50) | v90(constB50, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB49, 0)) | (~nextState(constB49, constB50)) | v100(constB50) | v90(constB50, 0)))),
% 53.79/34.00 inference(monotonicity,[status(thm)],[9408])).
% 53.79/34.00 tff(9410,plain,
% 53.79/34.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB49, constB50)) | (~v90(constB49, 0)) | v100(constB50) | v90(constB50, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB49, 0)) | (~nextState(constB49, constB50)) | v100(constB50) | v90(constB50, 0))),
% 53.79/34.00 inference(transitivity,[status(thm)],[9409, 9407])).
% 53.79/34.00 tff(9411,plain,
% 53.79/34.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB49, constB50)) | (~v90(constB49, 0)) | v100(constB50) | v90(constB50, 0))),
% 53.79/34.00 inference(quant_inst,[status(thm)],[])).
% 53.79/34.00 tff(9412,plain,
% 53.79/34.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB49, 0)) | (~nextState(constB49, constB50)) | v100(constB50) | v90(constB50, 0)),
% 53.79/34.00 inference(modus_ponens,[status(thm)],[9411, 9410])).
% 53.79/34.00 tff(9413,plain,
% 53.79/34.00 ((~v90(constB49, 0)) | v100(constB50) | v90(constB50, 0)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9412, 1395, 8974])).
% 53.79/34.00 tff(9414,plain,
% 53.79/34.00 (v90(constB50, 0)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9413, 8980, 9406])).
% 53.79/34.00 tff(9415,assumption,(v90(constB50, 0)), introduced(assumption)).
% 53.79/34.00 tff(9416,assumption,(v120(constB47)), introduced(assumption)).
% 53.79/34.00 tff(9417,plain,
% 53.79/34.00 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB47) | (~v120(constB47)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB47) | (~v120(constB47)))),
% 53.79/34.00 inference(rewrite,[status(thm)],[])).
% 53.79/34.00 tff(9418,plain,
% 53.79/34.00 (((~v120(constB47)) | v118(constB47)) <=> (v118(constB47) | (~v120(constB47)))),
% 53.79/34.00 inference(rewrite,[status(thm)],[])).
% 53.79/34.00 tff(9419,plain,
% 53.79/34.00 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB47)) | v118(constB47))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB47) | (~v120(constB47))))),
% 53.79/34.00 inference(monotonicity,[status(thm)],[9418])).
% 53.79/34.00 tff(9420,plain,
% 53.79/34.00 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB47)) | v118(constB47))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB47) | (~v120(constB47)))),
% 53.79/34.00 inference(transitivity,[status(thm)],[9419, 9417])).
% 53.79/34.00 tff(9421,plain,
% 53.79/34.00 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB47)) | v118(constB47))),
% 53.79/34.00 inference(quant_inst,[status(thm)],[])).
% 53.79/34.00 tff(9422,plain,
% 53.79/34.00 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB47) | (~v120(constB47))),
% 53.79/34.00 inference(modus_ponens,[status(thm)],[9421, 9420])).
% 53.79/34.00 tff(9423,plain,
% 53.79/34.00 (v118(constB47)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9422, 1425, 9416])).
% 53.79/34.00 tff(9424,plain,
% 53.79/34.00 (v117(constB47)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9236, 993, 9423])).
% 53.79/34.00 tff(9425,plain,
% 53.79/34.00 (v116(constB47)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9243, 1007, 9424])).
% 53.79/34.00 tff(9426,plain,
% 53.79/34.00 (v115(constB47)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9250, 1021, 9425])).
% 53.79/34.00 tff(9427,plain,
% 53.79/34.00 (v114(constB47)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9191, 1035, 9426])).
% 53.79/34.00 tff(9428,plain,
% 53.79/34.00 (v113(constB47)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[8797, 1049, 9427])).
% 53.79/34.00 tff(9429,plain,
% 53.79/34.00 (v112(constB47)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[8809, 9428])).
% 53.79/34.00 tff(9430,plain,
% 53.79/34.00 (v108(constB47)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[8816, 1075, 9429])).
% 53.79/34.00 tff(9431,plain,
% 53.79/34.00 (v110(constB48)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[8827, 9430])).
% 53.79/34.00 tff(9432,plain,
% 53.79/34.00 (v100(constB48)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[8853, 9431])).
% 53.79/34.00 tff(9433,plain,
% 53.79/34.00 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB47)) | (~v130(constB47, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB47)) | (~v130(constB47, 0)))),
% 53.79/34.00 inference(rewrite,[status(thm)],[])).
% 53.79/34.00 tff(9434,plain,
% 53.79/34.00 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB47)) | (~v130(constB47, 0)))),
% 53.79/34.00 inference(quant_inst,[status(thm)],[])).
% 53.79/34.00 tff(9435,plain,
% 53.79/34.00 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB47)) | (~v130(constB47, 0))),
% 53.79/34.00 inference(modus_ponens,[status(thm)],[9434, 9433])).
% 53.79/34.00 tff(9436,plain,
% 53.79/34.00 (~v130(constB47, 0)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9435, 1657, 9416])).
% 53.79/34.00 tff(9437,plain,
% 53.79/34.00 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB47, 0)) | v26(constB47) | v130(constB47, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB47, 0)) | v26(constB47) | v130(constB47, 0))),
% 53.79/34.00 inference(rewrite,[status(thm)],[])).
% 53.79/34.00 tff(9438,plain,
% 53.79/34.00 ((v26(constB47) | v130(constB47, 0) | (~v127(constB47, 0))) <=> ((~v127(constB47, 0)) | v26(constB47) | v130(constB47, 0))),
% 53.79/34.00 inference(rewrite,[status(thm)],[])).
% 53.79/34.00 tff(9439,plain,
% 53.79/34.00 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB47) | v130(constB47, 0) | (~v127(constB47, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB47, 0)) | v26(constB47) | v130(constB47, 0)))),
% 53.79/34.00 inference(monotonicity,[status(thm)],[9438])).
% 53.79/34.00 tff(9440,plain,
% 53.79/34.00 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB47) | v130(constB47, 0) | (~v127(constB47, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB47, 0)) | v26(constB47) | v130(constB47, 0))),
% 53.79/34.00 inference(transitivity,[status(thm)],[9439, 9437])).
% 53.79/34.00 tff(9441,plain,
% 53.79/34.00 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB47) | v130(constB47, 0) | (~v127(constB47, 0)))),
% 53.79/34.00 inference(quant_inst,[status(thm)],[])).
% 53.79/34.00 tff(9442,plain,
% 53.79/34.00 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB47, 0)) | v26(constB47) | v130(constB47, 0)),
% 53.79/34.00 inference(modus_ponens,[status(thm)],[9441, 9440])).
% 53.79/34.00 tff(9443,plain,
% 53.79/34.00 ((~v127(constB47, 0)) | v130(constB47, 0)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9442, 1671, 8802])).
% 53.79/34.00 tff(9444,plain,
% 53.79/34.00 (~v127(constB47, 0)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9443, 9436])).
% 53.79/34.00 tff(9445,plain,
% 53.79/34.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB47, constB48)) | v127(constB47, 0) | (~v129(constB48, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB47, constB48)) | v127(constB47, 0) | (~v129(constB48, 0)))),
% 53.79/34.00 inference(rewrite,[status(thm)],[])).
% 53.79/34.00 tff(9446,plain,
% 53.79/34.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB47, constB48)) | v127(constB47, 0) | (~v129(constB48, 0)))),
% 53.79/34.00 inference(quant_inst,[status(thm)],[])).
% 53.79/34.00 tff(9447,plain,
% 53.79/34.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB47, constB48)) | v127(constB47, 0) | (~v129(constB48, 0))),
% 53.79/34.00 inference(modus_ponens,[status(thm)],[9446, 9445])).
% 53.79/34.00 tff(9448,plain,
% 53.79/34.00 (v127(constB47, 0) | (~v129(constB48, 0))),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9447, 1689, 8820])).
% 53.79/34.00 tff(9449,plain,
% 53.79/34.00 (~v129(constB48, 0)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9448, 9444])).
% 53.79/34.00 tff(9450,plain,
% 53.79/34.00 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB48, 0)) | v129(constB48, 0) | (~v100(constB48)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB48, 0)) | v129(constB48, 0) | (~v100(constB48)))),
% 53.79/34.00 inference(rewrite,[status(thm)],[])).
% 53.79/34.00 tff(9451,plain,
% 53.79/34.00 (((~v90(constB48, 0)) | (~v100(constB48)) | v129(constB48, 0)) <=> ((~v90(constB48, 0)) | v129(constB48, 0) | (~v100(constB48)))),
% 53.79/34.00 inference(rewrite,[status(thm)],[])).
% 53.79/34.00 tff(9452,plain,
% 53.79/34.00 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB48, 0)) | (~v100(constB48)) | v129(constB48, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB48, 0)) | v129(constB48, 0) | (~v100(constB48))))),
% 53.79/34.00 inference(monotonicity,[status(thm)],[9451])).
% 53.79/34.00 tff(9453,plain,
% 53.79/34.00 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB48, 0)) | (~v100(constB48)) | v129(constB48, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB48, 0)) | v129(constB48, 0) | (~v100(constB48)))),
% 53.79/34.00 inference(transitivity,[status(thm)],[9452, 9450])).
% 53.79/34.00 tff(9454,plain,
% 53.79/34.00 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB48, 0)) | (~v100(constB48)) | v129(constB48, 0))),
% 53.79/34.00 inference(quant_inst,[status(thm)],[])).
% 53.79/34.00 tff(9455,plain,
% 53.79/34.00 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB48, 0)) | v129(constB48, 0) | (~v100(constB48))),
% 53.79/34.00 inference(modus_ponens,[status(thm)],[9454, 9453])).
% 53.79/34.00 tff(9456,plain,
% 53.79/34.00 ((~v90(constB48, 0)) | (~v100(constB48))),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9455, 1704, 9449])).
% 53.79/34.00 tff(9457,plain,
% 53.79/34.00 (~v90(constB48, 0)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9456, 9432])).
% 53.79/34.00 tff(9458,plain,
% 53.79/34.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB48, 0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB48, 0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, 0)))),
% 53.79/34.00 inference(rewrite,[status(thm)],[])).
% 53.79/34.00 tff(9459,plain,
% 53.79/34.00 (((~nextState(constB48, constB49)) | v90(constB48, 0) | v100(constB49) | (~v90(constB49, 0))) <=> (v90(constB48, 0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, 0)))),
% 53.79/34.00 inference(rewrite,[status(thm)],[])).
% 53.79/34.00 tff(9460,plain,
% 53.79/34.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB48, constB49)) | v90(constB48, 0) | v100(constB49) | (~v90(constB49, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB48, 0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, 0))))),
% 53.79/34.00 inference(monotonicity,[status(thm)],[9459])).
% 53.79/34.00 tff(9461,plain,
% 53.79/34.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB48, constB49)) | v90(constB48, 0) | v100(constB49) | (~v90(constB49, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB48, 0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, 0)))),
% 53.79/34.00 inference(transitivity,[status(thm)],[9460, 9458])).
% 53.79/34.00 tff(9462,plain,
% 53.79/34.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB48, constB49)) | v90(constB48, 0) | v100(constB49) | (~v90(constB49, 0)))),
% 53.79/34.00 inference(quant_inst,[status(thm)],[])).
% 53.79/34.00 tff(9463,plain,
% 53.79/34.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB48, 0) | (~nextState(constB48, constB49)) | v100(constB49) | (~v90(constB49, 0))),
% 53.79/34.00 inference(modus_ponens,[status(thm)],[9462, 9461])).
% 53.79/34.00 tff(9464,plain,
% 53.79/34.00 (v90(constB48, 0) | v100(constB49) | (~v90(constB49, 0))),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9463, 947, 8882])).
% 53.79/34.00 tff(9465,plain,
% 53.79/34.00 (v90(constB48, 0) | (~v90(constB49, 0))),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9464, 8894])).
% 53.79/34.00 tff(9466,plain,
% 53.79/34.00 (~v90(constB49, 0)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9465, 9457])).
% 53.79/34.00 tff(9467,plain,
% 53.79/34.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB49, 0) | (~nextState(constB49, constB50)) | v100(constB50) | (~v90(constB50, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB49, 0) | (~nextState(constB49, constB50)) | v100(constB50) | (~v90(constB50, 0)))),
% 53.79/34.00 inference(rewrite,[status(thm)],[])).
% 53.79/34.00 tff(9468,plain,
% 53.79/34.00 (((~nextState(constB49, constB50)) | v90(constB49, 0) | v100(constB50) | (~v90(constB50, 0))) <=> (v90(constB49, 0) | (~nextState(constB49, constB50)) | v100(constB50) | (~v90(constB50, 0)))),
% 53.79/34.00 inference(rewrite,[status(thm)],[])).
% 53.79/34.00 tff(9469,plain,
% 53.79/34.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB49, constB50)) | v90(constB49, 0) | v100(constB50) | (~v90(constB50, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB49, 0) | (~nextState(constB49, constB50)) | v100(constB50) | (~v90(constB50, 0))))),
% 53.79/34.00 inference(monotonicity,[status(thm)],[9468])).
% 53.79/34.00 tff(9470,plain,
% 53.79/34.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB49, constB50)) | v90(constB49, 0) | v100(constB50) | (~v90(constB50, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB49, 0) | (~nextState(constB49, constB50)) | v100(constB50) | (~v90(constB50, 0)))),
% 53.79/34.00 inference(transitivity,[status(thm)],[9469, 9467])).
% 53.79/34.00 tff(9471,plain,
% 53.79/34.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB49, constB50)) | v90(constB49, 0) | v100(constB50) | (~v90(constB50, 0)))),
% 53.79/34.00 inference(quant_inst,[status(thm)],[])).
% 53.79/34.00 tff(9472,plain,
% 53.79/34.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB49, 0) | (~nextState(constB49, constB50)) | v100(constB50) | (~v90(constB50, 0))),
% 53.79/34.00 inference(modus_ponens,[status(thm)],[9471, 9470])).
% 53.79/34.00 tff(9473,plain,
% 53.79/34.00 (v90(constB49, 0) | v100(constB50) | (~v90(constB50, 0))),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9472, 947, 8974])).
% 53.79/34.00 tff(9474,plain,
% 53.79/34.00 (v100(constB50)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9473, 9466, 9415])).
% 53.79/34.00 tff(9475,plain,
% 53.79/34.00 (v129(constB50, 2)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9353, 9474])).
% 53.79/34.00 tff(9476,plain,
% 53.79/34.00 (v127(constB49, 2)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9358, 9475])).
% 53.79/34.00 tff(9477,plain,
% 53.79/34.00 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | ((~v26(constB49)) | (~v127(constB49, 2)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | (~v26(constB49)) | (~v127(constB49, 2)))),
% 53.79/34.00 inference(rewrite,[status(thm)],[])).
% 53.79/34.00 tff(9478,plain,
% 53.79/34.00 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | ((~v26(constB49)) | (~v127(constB49, 2)))),
% 53.79/34.00 inference(quant_inst,[status(thm)],[])).
% 53.79/34.00 tff(9479,plain,
% 53.79/34.00 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | (~v26(constB49)) | (~v127(constB49, 2))),
% 53.79/34.00 inference(modus_ponens,[status(thm)],[9478, 9477])).
% 53.79/34.00 tff(9480,plain,
% 53.79/34.00 (~v26(constB49)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9479, 3715, 9476])).
% 53.79/34.00 tff(9481,plain,
% 53.79/34.00 (v130(constB49, 2)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9365, 1190, 9476, 9480])).
% 53.79/34.00 tff(9482,plain,
% 53.79/34.00 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB47)) | (~v130(constB47, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB47)) | (~v130(constB47, 2)))),
% 53.79/34.00 inference(rewrite,[status(thm)],[])).
% 53.79/34.00 tff(9483,plain,
% 53.79/34.00 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB47)) | (~v130(constB47, 2)))),
% 53.79/34.00 inference(quant_inst,[status(thm)],[])).
% 53.79/34.00 tff(9484,plain,
% 53.79/34.00 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB47)) | (~v130(constB47, 2))),
% 53.79/34.00 inference(modus_ponens,[status(thm)],[9483, 9482])).
% 53.79/34.00 tff(9485,plain,
% 53.79/34.00 (~v130(constB47, 2)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9484, 1523, 9416])).
% 53.79/34.00 tff(9486,plain,
% 53.79/34.00 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB47, 2)) | v26(constB47) | v130(constB47, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB47, 2)) | v26(constB47) | v130(constB47, 2))),
% 53.79/34.00 inference(rewrite,[status(thm)],[])).
% 53.79/34.00 tff(9487,plain,
% 53.79/34.00 ((v26(constB47) | v130(constB47, 2) | (~v127(constB47, 2))) <=> ((~v127(constB47, 2)) | v26(constB47) | v130(constB47, 2))),
% 53.79/34.00 inference(rewrite,[status(thm)],[])).
% 53.79/34.00 tff(9488,plain,
% 53.79/34.00 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB47) | v130(constB47, 2) | (~v127(constB47, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB47, 2)) | v26(constB47) | v130(constB47, 2)))),
% 53.79/34.00 inference(monotonicity,[status(thm)],[9487])).
% 53.79/34.00 tff(9489,plain,
% 53.79/34.00 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB47) | v130(constB47, 2) | (~v127(constB47, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB47, 2)) | v26(constB47) | v130(constB47, 2))),
% 53.79/34.00 inference(transitivity,[status(thm)],[9488, 9486])).
% 53.79/34.00 tff(9490,plain,
% 53.79/34.00 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB47) | v130(constB47, 2) | (~v127(constB47, 2)))),
% 53.79/34.00 inference(quant_inst,[status(thm)],[])).
% 53.79/34.00 tff(9491,plain,
% 53.79/34.00 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB47, 2)) | v26(constB47) | v130(constB47, 2)),
% 53.79/34.00 inference(modus_ponens,[status(thm)],[9490, 9489])).
% 53.79/34.00 tff(9492,plain,
% 53.79/34.00 ((~v127(constB47, 2)) | v130(constB47, 2)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9491, 1190, 8802])).
% 53.79/34.00 tff(9493,plain,
% 53.79/34.00 (~v127(constB47, 2)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9492, 9485])).
% 53.79/34.00 tff(9494,plain,
% 53.79/34.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB47, constB48)) | v127(constB47, 2) | (~v129(constB48, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB47, constB48)) | v127(constB47, 2) | (~v129(constB48, 2)))),
% 53.79/34.00 inference(rewrite,[status(thm)],[])).
% 53.79/34.00 tff(9495,plain,
% 53.79/34.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB47, constB48)) | v127(constB47, 2) | (~v129(constB48, 2)))),
% 53.79/34.00 inference(quant_inst,[status(thm)],[])).
% 53.79/34.00 tff(9496,plain,
% 53.79/34.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB47, constB48)) | v127(constB47, 2) | (~v129(constB48, 2))),
% 53.79/34.00 inference(modus_ponens,[status(thm)],[9495, 9494])).
% 53.79/34.00 tff(9497,plain,
% 53.79/34.00 (v127(constB47, 2) | (~v129(constB48, 2))),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9496, 1208, 8820])).
% 53.79/34.00 tff(9498,plain,
% 53.79/34.00 (~v129(constB48, 2)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9497, 9493])).
% 53.79/34.00 tff(9499,plain,
% 53.79/34.00 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB48, 2)) | v129(constB48, 2) | (~v100(constB48)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB48, 2)) | v129(constB48, 2) | (~v100(constB48)))),
% 53.79/34.00 inference(rewrite,[status(thm)],[])).
% 53.79/34.00 tff(9500,plain,
% 53.79/34.00 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB48, 2)) | v129(constB48, 2) | (~v100(constB48)))),
% 53.79/34.00 inference(quant_inst,[status(thm)],[])).
% 53.79/34.00 tff(9501,plain,
% 53.79/34.00 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB48, 2)) | v129(constB48, 2) | (~v100(constB48))),
% 53.79/34.00 inference(modus_ponens,[status(thm)],[9500, 9499])).
% 53.79/34.00 tff(9502,plain,
% 53.79/34.00 ((~v90(constB48, 2)) | (~v100(constB48))),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9501, 1223, 9498])).
% 53.79/34.00 tff(9503,plain,
% 53.79/34.00 (~v90(constB48, 2)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9502, 9432])).
% 53.79/34.00 tff(9504,plain,
% 53.79/34.00 (~v90(constB49, 2)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9341, 9503])).
% 53.79/34.00 tff(9505,plain,
% 53.79/34.00 (v130(constB47, 1)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9283, 1579, 9416])).
% 53.79/34.00 tff(9506,plain,
% 53.79/34.00 (v127(constB47, 1)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[8919, 9505])).
% 53.79/34.00 tff(9507,plain,
% 53.79/34.00 (v129(constB48, 1)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[8924, 9506])).
% 53.79/34.00 tff(9508,plain,
% 53.79/34.00 (v90(constB48, 1) | (~v100(constB48))),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[8931, 1623, 9507])).
% 53.79/34.00 tff(9509,plain,
% 53.79/34.00 (v90(constB48, 1)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9508, 9432])).
% 53.79/34.00 tff(9510,plain,
% 53.79/34.00 (v90(constB49, 1)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[8941, 9509])).
% 53.79/34.00 tff(9511,plain,
% 53.79/34.00 (v121(constB49)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9127, 1731, 9466, 9510, 9504])).
% 53.79/34.00 tff(9512,plain,
% 53.79/34.00 ($false),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9370, 1821, 9511, 9481])).
% 53.79/34.00 tff(9513,plain,((~v120(constB47)) | (~v90(constB50, 2)) | (~v90(constB50, 0))), inference(lemma,lemma(discharge,[]))).
% 53.79/34.00 tff(9514,plain,
% 53.79/34.00 (~v120(constB47)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9513, 9414, 9145])).
% 53.79/34.00 tff(9515,plain,
% 53.79/34.00 (v90(constB48, 0)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9465, 9406])).
% 53.79/34.00 tff(9516,assumption,(v100(constB48)), introduced(assumption)).
% 53.79/34.00 tff(9517,assumption,(v90(constB48, 2)), introduced(assumption)).
% 53.79/34.00 tff(9518,plain,
% 53.79/34.00 (v129(constB48, 2) | (~v100(constB48))),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9501, 1223, 9517])).
% 53.79/34.00 tff(9519,plain,
% 53.79/34.00 (v129(constB48, 2)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9518, 9516])).
% 53.79/34.00 tff(9520,plain,
% 53.79/34.00 (v127(constB47, 2)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9497, 9519])).
% 53.79/34.00 tff(9521,plain,
% 53.79/34.00 (v130(constB47, 2)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9492, 9520])).
% 53.79/34.00 tff(9522,plain,
% 53.79/34.00 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB47)) | (~v130(constB47, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB47)) | (~v130(constB47, 2)))),
% 53.79/34.00 inference(rewrite,[status(thm)],[])).
% 53.79/34.00 tff(9523,plain,
% 53.79/34.00 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB47)) | (~v130(constB47, 2)))),
% 53.79/34.00 inference(quant_inst,[status(thm)],[])).
% 53.79/34.00 tff(9524,plain,
% 53.79/34.00 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB47)) | (~v130(constB47, 2))),
% 53.79/34.00 inference(modus_ponens,[status(thm)],[9523, 9522])).
% 53.79/34.00 tff(9525,plain,
% 53.79/34.00 (~v121(constB47)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9524, 1821, 9521])).
% 53.79/34.00 tff(9526,plain,
% 53.79/34.00 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB47)) | (~v130(constB47, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB47)) | (~v130(constB47, 2)))),
% 53.79/34.00 inference(rewrite,[status(thm)],[])).
% 53.79/34.00 tff(9527,plain,
% 53.79/34.00 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB47)) | (~v130(constB47, 2)))),
% 53.79/34.00 inference(quant_inst,[status(thm)],[])).
% 53.79/34.00 tff(9528,plain,
% 53.79/34.00 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB47)) | (~v130(constB47, 2))),
% 53.79/34.00 inference(modus_ponens,[status(thm)],[9527, 9526])).
% 53.79/34.00 tff(9529,plain,
% 53.79/34.00 (~v119(constB47)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9528, 1176, 9521])).
% 53.79/34.00 tff(9530,assumption,(v90(constB48, 1)), introduced(assumption)).
% 53.79/34.00 tff(9531,plain,
% 53.79/34.00 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB48, 1)) | v129(constB48, 1) | (~v100(constB48)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB48, 1)) | v129(constB48, 1) | (~v100(constB48)))),
% 53.79/34.00 inference(rewrite,[status(thm)],[])).
% 53.79/34.00 tff(9532,plain,
% 53.79/34.00 (((~v90(constB48, 1)) | (~v100(constB48)) | v129(constB48, 1)) <=> ((~v90(constB48, 1)) | v129(constB48, 1) | (~v100(constB48)))),
% 53.79/34.00 inference(rewrite,[status(thm)],[])).
% 53.79/34.00 tff(9533,plain,
% 53.79/34.00 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB48, 1)) | (~v100(constB48)) | v129(constB48, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB48, 1)) | v129(constB48, 1) | (~v100(constB48))))),
% 53.79/34.00 inference(monotonicity,[status(thm)],[9532])).
% 53.79/34.00 tff(9534,plain,
% 53.79/34.00 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB48, 1)) | (~v100(constB48)) | v129(constB48, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB48, 1)) | v129(constB48, 1) | (~v100(constB48)))),
% 53.79/34.00 inference(transitivity,[status(thm)],[9533, 9531])).
% 53.79/34.00 tff(9535,plain,
% 53.79/34.00 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB48, 1)) | (~v100(constB48)) | v129(constB48, 1))),
% 53.79/34.00 inference(quant_inst,[status(thm)],[])).
% 53.79/34.00 tff(9536,plain,
% 53.79/34.00 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB48, 1)) | v129(constB48, 1) | (~v100(constB48))),
% 53.79/34.00 inference(modus_ponens,[status(thm)],[9535, 9534])).
% 53.79/34.00 tff(9537,plain,
% 53.79/34.00 (v129(constB48, 1) | (~v100(constB48))),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9536, 1309, 9530])).
% 53.79/34.00 tff(9538,plain,
% 53.79/34.00 (v129(constB48, 1)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9537, 9516])).
% 53.79/34.00 tff(9539,plain,
% 53.79/34.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB47, constB48)) | v127(constB47, 1) | (~v129(constB48, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB47, constB48)) | v127(constB47, 1) | (~v129(constB48, 1)))),
% 53.79/34.00 inference(rewrite,[status(thm)],[])).
% 53.79/34.00 tff(9540,plain,
% 53.79/34.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB47, constB48)) | v127(constB47, 1) | (~v129(constB48, 1)))),
% 53.79/34.00 inference(quant_inst,[status(thm)],[])).
% 53.79/34.00 tff(9541,plain,
% 53.79/34.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB47, constB48)) | v127(constB47, 1) | (~v129(constB48, 1))),
% 53.79/34.00 inference(modus_ponens,[status(thm)],[9540, 9539])).
% 53.79/34.00 tff(9542,plain,
% 53.79/34.00 (v127(constB47, 1) | (~v129(constB48, 1))),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9541, 1294, 8820])).
% 53.79/34.00 tff(9543,plain,
% 53.79/34.00 (v127(constB47, 1)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9542, 9538])).
% 53.79/34.00 tff(9544,plain,
% 53.79/34.00 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB47, 1)) | v26(constB47) | v130(constB47, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB47, 1)) | v26(constB47) | v130(constB47, 1))),
% 53.79/34.00 inference(rewrite,[status(thm)],[])).
% 53.79/34.00 tff(9545,plain,
% 53.79/34.00 ((v26(constB47) | v130(constB47, 1) | (~v127(constB47, 1))) <=> ((~v127(constB47, 1)) | v26(constB47) | v130(constB47, 1))),
% 53.79/34.00 inference(rewrite,[status(thm)],[])).
% 53.79/34.00 tff(9546,plain,
% 53.79/34.00 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB47) | v130(constB47, 1) | (~v127(constB47, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB47, 1)) | v26(constB47) | v130(constB47, 1)))),
% 53.79/34.00 inference(monotonicity,[status(thm)],[9545])).
% 53.79/34.00 tff(9547,plain,
% 53.79/34.00 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB47) | v130(constB47, 1) | (~v127(constB47, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB47, 1)) | v26(constB47) | v130(constB47, 1))),
% 53.79/34.00 inference(transitivity,[status(thm)],[9546, 9544])).
% 53.79/34.00 tff(9548,plain,
% 53.79/34.00 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB47) | v130(constB47, 1) | (~v127(constB47, 1)))),
% 53.79/34.00 inference(quant_inst,[status(thm)],[])).
% 53.79/34.00 tff(9549,plain,
% 53.79/34.00 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB47, 1)) | v26(constB47) | v130(constB47, 1)),
% 53.79/34.00 inference(modus_ponens,[status(thm)],[9548, 9547])).
% 53.79/34.00 tff(9550,plain,
% 53.79/34.00 ((~v127(constB47, 1)) | v130(constB47, 1)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9549, 1276, 8802])).
% 53.79/34.00 tff(9551,plain,
% 53.79/34.00 (v130(constB47, 1)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9550, 9543])).
% 53.79/34.00 tff(9552,assumption,(~v120(constB47)), introduced(assumption)).
% 53.79/34.00 tff(9553,assumption,(v90(constB48, 0)), introduced(assumption)).
% 53.79/34.00 tff(9554,plain,
% 53.79/34.00 (v129(constB48, 0) | (~v100(constB48))),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9455, 1704, 9553])).
% 53.79/34.00 tff(9555,plain,
% 53.79/34.00 (v129(constB48, 0)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9554, 9516])).
% 53.79/34.00 tff(9556,plain,
% 53.79/34.00 (v127(constB47, 0)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9448, 9555])).
% 53.79/34.00 tff(9557,plain,
% 53.79/34.00 (v130(constB47, 0)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9443, 9556])).
% 53.79/34.00 tff(9558,plain,
% 53.79/34.00 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB47)) | (~v130(constB47, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB47)) | (~v130(constB47, 0)))),
% 53.79/34.00 inference(rewrite,[status(thm)],[])).
% 53.79/34.00 tff(9559,plain,
% 53.79/34.00 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB47)) | (~v130(constB47, 0)))),
% 53.79/34.00 inference(quant_inst,[status(thm)],[])).
% 53.79/34.00 tff(9560,plain,
% 53.79/34.00 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB47)) | (~v130(constB47, 0))),
% 53.79/34.00 inference(modus_ponens,[status(thm)],[9559, 9558])).
% 53.79/34.00 tff(9561,plain,
% 53.79/34.00 (~v122(constB47)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9560, 2407, 9557])).
% 53.79/34.00 tff(9562,plain,
% 53.79/34.00 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB47)) | (~v130(constB47, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB47)) | (~v130(constB47, 0)))),
% 53.79/34.00 inference(rewrite,[status(thm)],[])).
% 53.79/34.00 tff(9563,plain,
% 53.79/34.00 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB47)) | (~v130(constB47, 0)))),
% 53.79/34.00 inference(quant_inst,[status(thm)],[])).
% 53.79/34.00 tff(9564,plain,
% 53.79/34.00 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB47)) | (~v130(constB47, 0))),
% 53.79/34.00 inference(modus_ponens,[status(thm)],[9563, 9562])).
% 53.79/34.00 tff(9565,plain,
% 53.79/34.00 (~v124(constB47)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9564, 3274, 9557])).
% 53.79/34.00 tff(9566,plain,
% 53.79/34.00 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB47) | v120(constB47) | v121(constB47) | v122(constB47) | v123(constB47) | v124(constB47) | (~v130(constB47, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB47) | v120(constB47) | v121(constB47) | v122(constB47) | v123(constB47) | v124(constB47) | (~v130(constB47, 1)))),
% 53.79/34.00 inference(rewrite,[status(thm)],[])).
% 53.79/34.00 tff(9567,plain,
% 53.79/34.00 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB47) | v120(constB47) | v121(constB47) | v122(constB47) | v123(constB47) | v124(constB47) | (~v130(constB47, 1)))),
% 53.79/34.00 inference(quant_inst,[status(thm)],[])).
% 53.79/34.00 tff(9568,plain,
% 53.79/34.00 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB47) | v120(constB47) | v121(constB47) | v122(constB47) | v123(constB47) | v124(constB47) | (~v130(constB47, 1))),
% 53.79/34.00 inference(modus_ponens,[status(thm)],[9567, 9566])).
% 53.79/34.00 tff(9569,plain,
% 53.79/34.00 (v123(constB47)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9568, 3309, 9565, 9561, 9552, 9551, 9529, 9525])).
% 53.79/34.00 tff(9570,plain,
% 53.79/34.00 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB47)) | (~v130(constB47, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB47)) | (~v130(constB47, 1)))),
% 53.79/34.00 inference(rewrite,[status(thm)],[])).
% 53.79/34.00 tff(9571,plain,
% 53.79/34.00 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB47)) | (~v130(constB47, 1)))),
% 53.79/34.00 inference(quant_inst,[status(thm)],[])).
% 53.79/34.00 tff(9572,plain,
% 53.79/34.00 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB47)) | (~v130(constB47, 1))),
% 53.79/34.00 inference(modus_ponens,[status(thm)],[9571, 9570])).
% 53.79/34.00 tff(9573,plain,
% 53.79/34.00 ($false),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9572, 2581, 9551, 9569])).
% 53.79/34.00 tff(9574,plain,((~v100(constB48)) | v120(constB47) | (~v90(constB48, 1)) | (~v90(constB48, 0)) | (~v90(constB48, 2))), inference(lemma,lemma(discharge,[]))).
% 53.79/34.00 tff(9575,plain,
% 53.79/34.00 (~v100(constB48)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9574, 9333, 9515, 9514, 9342])).
% 53.79/34.00 tff(9576,plain,
% 53.79/34.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB47, 1) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB47, 1) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, 1)))),
% 53.79/34.00 inference(rewrite,[status(thm)],[])).
% 53.79/34.00 tff(9577,plain,
% 53.79/34.00 (((~nextState(constB47, constB48)) | v90(constB47, 1) | v100(constB48) | (~v90(constB48, 1))) <=> (v90(constB47, 1) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, 1)))),
% 53.79/34.00 inference(rewrite,[status(thm)],[])).
% 53.79/34.00 tff(9578,plain,
% 53.79/34.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB47, constB48)) | v90(constB47, 1) | v100(constB48) | (~v90(constB48, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB47, 1) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, 1))))),
% 53.79/34.00 inference(monotonicity,[status(thm)],[9577])).
% 53.79/34.00 tff(9579,plain,
% 53.79/34.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB47, constB48)) | v90(constB47, 1) | v100(constB48) | (~v90(constB48, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB47, 1) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, 1)))),
% 53.79/34.00 inference(transitivity,[status(thm)],[9578, 9576])).
% 53.79/34.00 tff(9580,plain,
% 53.79/34.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB47, constB48)) | v90(constB47, 1) | v100(constB48) | (~v90(constB48, 1)))),
% 53.79/34.00 inference(quant_inst,[status(thm)],[])).
% 53.79/34.00 tff(9581,plain,
% 53.79/34.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB47, 1) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, 1))),
% 53.79/34.00 inference(modus_ponens,[status(thm)],[9580, 9579])).
% 53.79/34.00 tff(9582,plain,
% 53.79/34.00 (v90(constB47, 1) | v100(constB48) | (~v90(constB48, 1))),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9581, 926, 8820])).
% 53.79/34.00 tff(9583,plain,
% 53.79/34.00 (v90(constB47, 1)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[9582, 9575, 9333])).
% 53.79/34.00 tff(9584,plain,
% 53.79/34.00 (v90(constB46, 1)),
% 53.79/34.00 inference(unit_resolution,[status(thm)],[8748, 9583])).
% 53.79/34.00 tff(9585,plain,
% 53.79/34.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB47, 0) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB47, 0) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, 0)))),
% 53.79/34.00 inference(rewrite,[status(thm)],[])).
% 53.79/34.00 tff(9586,plain,
% 53.79/34.00 (((~nextState(constB47, constB48)) | v90(constB47, 0) | v100(constB48) | (~v90(constB48, 0))) <=> (v90(constB47, 0) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, 0)))),
% 53.79/34.00 inference(rewrite,[status(thm)],[])).
% 53.79/34.00 tff(9587,plain,
% 53.79/34.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB47, constB48)) | v90(constB47, 0) | v100(constB48) | (~v90(constB48, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB47, 0) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, 0))))),
% 53.79/34.00 inference(monotonicity,[status(thm)],[9586])).
% 53.79/34.00 tff(9588,plain,
% 53.79/34.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB47, constB48)) | v90(constB47, 0) | v100(constB48) | (~v90(constB48, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB47, 0) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, 0)))),
% 53.79/34.00 inference(transitivity,[status(thm)],[9587, 9585])).
% 53.79/34.01 tff(9589,plain,
% 53.79/34.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB47, constB48)) | v90(constB47, 0) | v100(constB48) | (~v90(constB48, 0)))),
% 53.79/34.01 inference(quant_inst,[status(thm)],[])).
% 53.79/34.01 tff(9590,plain,
% 53.79/34.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB47, 0) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, 0))),
% 53.79/34.01 inference(modus_ponens,[status(thm)],[9589, 9588])).
% 53.79/34.01 tff(9591,plain,
% 53.79/34.01 (v90(constB47, 0) | v100(constB48) | (~v90(constB48, 0))),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[9590, 947, 8820])).
% 53.79/34.01 tff(9592,plain,
% 53.79/34.01 (v90(constB47, 0)),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[9591, 9575, 9515])).
% 53.79/34.01 tff(9593,plain,
% 53.79/34.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB46, 0) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB46, 0) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, 0)))),
% 53.79/34.01 inference(rewrite,[status(thm)],[])).
% 53.79/34.01 tff(9594,plain,
% 53.79/34.01 (((~nextState(constB46, constB47)) | v90(constB46, 0) | v100(constB47) | (~v90(constB47, 0))) <=> (v90(constB46, 0) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, 0)))),
% 53.79/34.01 inference(rewrite,[status(thm)],[])).
% 53.79/34.01 tff(9595,plain,
% 53.79/34.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB46, constB47)) | v90(constB46, 0) | v100(constB47) | (~v90(constB47, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB46, 0) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, 0))))),
% 53.79/34.01 inference(monotonicity,[status(thm)],[9594])).
% 53.79/34.01 tff(9596,plain,
% 53.79/34.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB46, constB47)) | v90(constB46, 0) | v100(constB47) | (~v90(constB47, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB46, 0) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, 0)))),
% 53.79/34.01 inference(transitivity,[status(thm)],[9595, 9593])).
% 53.79/34.01 tff(9597,plain,
% 53.79/34.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB46, constB47)) | v90(constB46, 0) | v100(constB47) | (~v90(constB47, 0)))),
% 53.79/34.01 inference(quant_inst,[status(thm)],[])).
% 53.79/34.01 tff(9598,plain,
% 53.79/34.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB46, 0) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, 0))),
% 53.79/34.01 inference(modus_ponens,[status(thm)],[9597, 9596])).
% 53.79/34.01 tff(9599,plain,
% 53.79/34.01 (v90(constB46, 0) | v100(constB47) | (~v90(constB47, 0))),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[9598, 947, 8694])).
% 53.79/34.01 tff(9600,plain,
% 53.79/34.01 (v90(constB46, 0) | (~v90(constB47, 0))),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[9599, 8706])).
% 53.79/34.01 tff(9601,plain,
% 53.79/34.01 (v90(constB46, 0)),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[9600, 9592])).
% 53.79/34.01 tff(9602,plain,
% 53.79/34.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB47, 2) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB47, 2) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, 2)))),
% 53.79/34.01 inference(rewrite,[status(thm)],[])).
% 53.79/34.01 tff(9603,plain,
% 53.79/34.01 (((~nextState(constB47, constB48)) | v90(constB47, 2) | v100(constB48) | (~v90(constB48, 2))) <=> (v90(constB47, 2) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, 2)))),
% 53.79/34.01 inference(rewrite,[status(thm)],[])).
% 53.79/34.01 tff(9604,plain,
% 53.79/34.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB47, constB48)) | v90(constB47, 2) | v100(constB48) | (~v90(constB48, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB47, 2) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, 2))))),
% 53.79/34.01 inference(monotonicity,[status(thm)],[9603])).
% 53.79/34.01 tff(9605,plain,
% 53.79/34.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB47, constB48)) | v90(constB47, 2) | v100(constB48) | (~v90(constB48, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB47, 2) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, 2)))),
% 53.79/34.01 inference(transitivity,[status(thm)],[9604, 9602])).
% 53.79/34.01 tff(9606,plain,
% 53.79/34.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB47, constB48)) | v90(constB47, 2) | v100(constB48) | (~v90(constB48, 2)))),
% 53.79/34.01 inference(quant_inst,[status(thm)],[])).
% 53.79/34.01 tff(9607,plain,
% 53.79/34.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB47, 2) | (~nextState(constB47, constB48)) | v100(constB48) | (~v90(constB48, 2))),
% 53.79/34.01 inference(modus_ponens,[status(thm)],[9606, 9605])).
% 53.79/34.01 tff(9608,plain,
% 53.79/34.01 (v90(constB47, 2) | v100(constB48) | (~v90(constB48, 2))),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[9607, 905, 8820])).
% 53.79/34.01 tff(9609,plain,
% 53.79/34.01 (v90(constB47, 2)),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[9608, 9575, 9342])).
% 53.79/34.01 tff(9610,plain,
% 53.79/34.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB46, 2) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB46, 2) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, 2)))),
% 53.79/34.01 inference(rewrite,[status(thm)],[])).
% 53.79/34.01 tff(9611,plain,
% 53.79/34.01 (((~nextState(constB46, constB47)) | v90(constB46, 2) | v100(constB47) | (~v90(constB47, 2))) <=> (v90(constB46, 2) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, 2)))),
% 53.79/34.01 inference(rewrite,[status(thm)],[])).
% 53.79/34.01 tff(9612,plain,
% 53.79/34.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB46, constB47)) | v90(constB46, 2) | v100(constB47) | (~v90(constB47, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB46, 2) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, 2))))),
% 53.79/34.01 inference(monotonicity,[status(thm)],[9611])).
% 53.79/34.01 tff(9613,plain,
% 53.79/34.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB46, constB47)) | v90(constB46, 2) | v100(constB47) | (~v90(constB47, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB46, 2) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, 2)))),
% 53.79/34.01 inference(transitivity,[status(thm)],[9612, 9610])).
% 53.79/34.01 tff(9614,plain,
% 53.79/34.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB46, constB47)) | v90(constB46, 2) | v100(constB47) | (~v90(constB47, 2)))),
% 53.79/34.01 inference(quant_inst,[status(thm)],[])).
% 53.79/34.01 tff(9615,plain,
% 53.79/34.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB46, 2) | (~nextState(constB46, constB47)) | v100(constB47) | (~v90(constB47, 2))),
% 53.79/34.01 inference(modus_ponens,[status(thm)],[9614, 9613])).
% 53.79/34.01 tff(9616,plain,
% 53.79/34.01 (v90(constB46, 2) | v100(constB47) | (~v90(constB47, 2))),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[9615, 905, 8694])).
% 53.79/34.01 tff(9617,plain,
% 53.79/34.01 (v90(constB46, 2) | (~v90(constB47, 2))),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[9616, 8706])).
% 53.79/34.01 tff(9618,plain,
% 53.79/34.01 (v90(constB46, 2)),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[9617, 9609])).
% 53.79/34.01 tff(9619,assumption,(v100(constB46)), introduced(assumption)).
% 53.79/34.01 tff(9620,assumption,(v90(constB46, 1)), introduced(assumption)).
% 53.79/34.01 tff(9621,plain,
% 53.79/34.01 (v129(constB46, 1) | (~v100(constB46))),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[8738, 1309, 9620])).
% 53.79/34.01 tff(9622,plain,
% 53.79/34.01 (v129(constB46, 1)),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[9621, 9619])).
% 53.79/34.01 tff(9623,plain,
% 53.79/34.01 (v127(constB45, 1)),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[8731, 9622])).
% 53.79/34.01 tff(9624,plain,
% 53.79/34.01 (v130(constB45, 1)),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[8726, 9623])).
% 53.79/34.01 tff(9625,plain,
% 53.79/34.01 (~v123(constB45)),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[8718, 2581, 9624])).
% 53.79/34.01 tff(9626,plain,
% 53.79/34.01 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB45)) | (~v130(constB45, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB45)) | (~v130(constB45, 1)))),
% 53.79/34.01 inference(rewrite,[status(thm)],[])).
% 53.79/34.01 tff(9627,plain,
% 53.79/34.01 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB45)) | (~v130(constB45, 1)))),
% 53.79/34.01 inference(quant_inst,[status(thm)],[])).
% 53.79/34.01 tff(9628,plain,
% 53.79/34.01 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB45)) | (~v130(constB45, 1))),
% 53.79/34.01 inference(modus_ponens,[status(thm)],[9627, 9626])).
% 53.79/34.01 tff(9629,plain,
% 53.79/34.01 (~v119(constB45)),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[9628, 1262, 9624])).
% 53.79/34.01 tff(9630,assumption,(v90(constB46, 0)), introduced(assumption)).
% 53.79/34.01 tff(9631,plain,
% 53.79/34.01 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB46, 0)) | v129(constB46, 0) | (~v100(constB46)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB46, 0)) | v129(constB46, 0) | (~v100(constB46)))),
% 53.79/34.01 inference(rewrite,[status(thm)],[])).
% 53.79/34.01 tff(9632,plain,
% 53.79/34.01 (((~v90(constB46, 0)) | (~v100(constB46)) | v129(constB46, 0)) <=> ((~v90(constB46, 0)) | v129(constB46, 0) | (~v100(constB46)))),
% 53.79/34.01 inference(rewrite,[status(thm)],[])).
% 53.79/34.01 tff(9633,plain,
% 53.79/34.01 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB46, 0)) | (~v100(constB46)) | v129(constB46, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB46, 0)) | v129(constB46, 0) | (~v100(constB46))))),
% 53.79/34.01 inference(monotonicity,[status(thm)],[9632])).
% 53.79/34.01 tff(9634,plain,
% 53.79/34.01 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB46, 0)) | (~v100(constB46)) | v129(constB46, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB46, 0)) | v129(constB46, 0) | (~v100(constB46)))),
% 53.79/34.01 inference(transitivity,[status(thm)],[9633, 9631])).
% 53.79/34.01 tff(9635,plain,
% 53.79/34.01 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB46, 0)) | (~v100(constB46)) | v129(constB46, 0))),
% 53.79/34.01 inference(quant_inst,[status(thm)],[])).
% 53.79/34.01 tff(9636,plain,
% 53.79/34.01 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB46, 0)) | v129(constB46, 0) | (~v100(constB46))),
% 53.79/34.01 inference(modus_ponens,[status(thm)],[9635, 9634])).
% 53.79/34.01 tff(9637,plain,
% 53.79/34.01 (v129(constB46, 0) | (~v100(constB46))),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[9636, 1704, 9630])).
% 53.79/34.01 tff(9638,plain,
% 53.79/34.01 (v129(constB46, 0)),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[9637, 9619])).
% 53.79/34.01 tff(9639,plain,
% 53.79/34.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB45, constB46)) | v127(constB45, 0) | (~v129(constB46, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB45, constB46)) | v127(constB45, 0) | (~v129(constB46, 0)))),
% 53.79/34.01 inference(rewrite,[status(thm)],[])).
% 53.79/34.01 tff(9640,plain,
% 53.79/34.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB45, constB46)) | v127(constB45, 0) | (~v129(constB46, 0)))),
% 53.79/34.01 inference(quant_inst,[status(thm)],[])).
% 53.79/34.01 tff(9641,plain,
% 53.79/34.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB45, constB46)) | v127(constB45, 0) | (~v129(constB46, 0))),
% 53.79/34.01 inference(modus_ponens,[status(thm)],[9640, 9639])).
% 53.79/34.01 tff(9642,plain,
% 53.79/34.01 (v127(constB45, 0) | (~v129(constB46, 0))),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[9641, 1689, 8635])).
% 53.79/34.01 tff(9643,plain,
% 53.79/34.01 (v127(constB45, 0)),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[9642, 9638])).
% 53.79/34.01 tff(9644,plain,
% 53.79/34.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB45, 0)) | v26(constB45) | v130(constB45, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB45, 0)) | v26(constB45) | v130(constB45, 0))),
% 53.79/34.01 inference(rewrite,[status(thm)],[])).
% 53.79/34.01 tff(9645,plain,
% 53.79/34.01 ((v26(constB45) | v130(constB45, 0) | (~v127(constB45, 0))) <=> ((~v127(constB45, 0)) | v26(constB45) | v130(constB45, 0))),
% 53.79/34.01 inference(rewrite,[status(thm)],[])).
% 53.79/34.01 tff(9646,plain,
% 53.79/34.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB45) | v130(constB45, 0) | (~v127(constB45, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB45, 0)) | v26(constB45) | v130(constB45, 0)))),
% 53.79/34.01 inference(monotonicity,[status(thm)],[9645])).
% 53.79/34.01 tff(9647,plain,
% 53.79/34.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB45) | v130(constB45, 0) | (~v127(constB45, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB45, 0)) | v26(constB45) | v130(constB45, 0))),
% 53.79/34.01 inference(transitivity,[status(thm)],[9646, 9644])).
% 53.79/34.01 tff(9648,plain,
% 53.79/34.01 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB45) | v130(constB45, 0) | (~v127(constB45, 0)))),
% 53.79/34.01 inference(quant_inst,[status(thm)],[])).
% 53.79/34.01 tff(9649,plain,
% 53.79/34.01 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB45, 0)) | v26(constB45) | v130(constB45, 0)),
% 53.79/34.01 inference(modus_ponens,[status(thm)],[9648, 9647])).
% 53.79/34.01 tff(9650,plain,
% 53.79/34.01 ((~v127(constB45, 0)) | v130(constB45, 0)),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[9649, 1671, 8620])).
% 53.79/34.01 tff(9651,plain,
% 53.79/34.01 (v130(constB45, 0)),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[9650, 9643])).
% 53.79/34.01 tff(9652,plain,
% 53.79/34.01 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB45)) | (~v130(constB45, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB45)) | (~v130(constB45, 0)))),
% 53.79/34.01 inference(rewrite,[status(thm)],[])).
% 53.79/34.01 tff(9653,plain,
% 53.79/34.01 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB45)) | (~v130(constB45, 0)))),
% 53.79/34.01 inference(quant_inst,[status(thm)],[])).
% 53.79/34.01 tff(9654,plain,
% 53.79/34.01 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB45)) | (~v130(constB45, 0))),
% 53.79/34.01 inference(modus_ponens,[status(thm)],[9653, 9652])).
% 53.79/34.01 tff(9655,plain,
% 53.79/34.01 (~v120(constB45)),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[9654, 1657, 9651])).
% 53.79/34.01 tff(9656,plain,
% 53.79/34.01 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB45)) | (~v130(constB45, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB45)) | (~v130(constB45, 0)))),
% 53.79/34.01 inference(rewrite,[status(thm)],[])).
% 53.79/34.01 tff(9657,plain,
% 53.79/34.01 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB45)) | (~v130(constB45, 0)))),
% 53.79/34.01 inference(quant_inst,[status(thm)],[])).
% 53.79/34.01 tff(9658,plain,
% 53.79/34.01 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB45)) | (~v130(constB45, 0))),
% 53.79/34.01 inference(modus_ponens,[status(thm)],[9657, 9656])).
% 53.79/34.01 tff(9659,plain,
% 53.79/34.01 (~v122(constB45)),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[9658, 2407, 9651])).
% 53.79/34.01 tff(9660,plain,
% 53.79/34.01 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB45)) | (~v130(constB45, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB45)) | (~v130(constB45, 0)))),
% 53.79/34.01 inference(rewrite,[status(thm)],[])).
% 53.79/34.01 tff(9661,plain,
% 53.79/34.01 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB45)) | (~v130(constB45, 0)))),
% 53.79/34.01 inference(quant_inst,[status(thm)],[])).
% 53.79/34.01 tff(9662,plain,
% 53.79/34.01 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB45)) | (~v130(constB45, 0))),
% 53.79/34.01 inference(modus_ponens,[status(thm)],[9661, 9660])).
% 53.79/34.01 tff(9663,plain,
% 53.79/34.01 (~v124(constB45)),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[9662, 3274, 9651])).
% 53.79/34.01 tff(9664,assumption,(v90(constB46, 2)), introduced(assumption)).
% 53.79/34.01 tff(9665,plain,
% 53.79/34.01 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB46, 2)) | v129(constB46, 2) | (~v100(constB46)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB46, 2)) | v129(constB46, 2) | (~v100(constB46)))),
% 53.79/34.01 inference(rewrite,[status(thm)],[])).
% 53.79/34.01 tff(9666,plain,
% 53.79/34.01 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB46, 2)) | v129(constB46, 2) | (~v100(constB46)))),
% 53.79/34.01 inference(quant_inst,[status(thm)],[])).
% 53.79/34.01 tff(9667,plain,
% 53.79/34.01 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB46, 2)) | v129(constB46, 2) | (~v100(constB46))),
% 53.79/34.01 inference(modus_ponens,[status(thm)],[9666, 9665])).
% 53.79/34.01 tff(9668,plain,
% 53.79/34.01 (v129(constB46, 2) | (~v100(constB46))),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[9667, 1223, 9664])).
% 53.79/34.01 tff(9669,plain,
% 53.79/34.01 (v129(constB46, 2)),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[9668, 9619])).
% 53.79/34.01 tff(9670,plain,
% 53.79/34.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB45, constB46)) | v127(constB45, 2) | (~v129(constB46, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB45, constB46)) | v127(constB45, 2) | (~v129(constB46, 2)))),
% 53.79/34.01 inference(rewrite,[status(thm)],[])).
% 53.79/34.01 tff(9671,plain,
% 53.79/34.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB45, constB46)) | v127(constB45, 2) | (~v129(constB46, 2)))),
% 53.79/34.01 inference(quant_inst,[status(thm)],[])).
% 53.79/34.01 tff(9672,plain,
% 53.79/34.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB45, constB46)) | v127(constB45, 2) | (~v129(constB46, 2))),
% 53.79/34.01 inference(modus_ponens,[status(thm)],[9671, 9670])).
% 53.79/34.01 tff(9673,plain,
% 53.79/34.01 (v127(constB45, 2) | (~v129(constB46, 2))),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[9672, 1208, 8635])).
% 53.79/34.01 tff(9674,plain,
% 53.79/34.01 (v127(constB45, 2)),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[9673, 9669])).
% 53.79/34.01 tff(9675,assumption,(v127(constB45, 2)), introduced(assumption)).
% 53.79/34.01 tff(9676,assumption,(~v130(constB45, 2)), introduced(assumption)).
% 53.79/34.01 tff(9677,plain,
% 53.79/34.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB45, 2)) | v26(constB45) | v130(constB45, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB45, 2)) | v26(constB45) | v130(constB45, 2))),
% 53.79/34.01 inference(rewrite,[status(thm)],[])).
% 53.79/34.01 tff(9678,plain,
% 53.79/34.01 ((v26(constB45) | v130(constB45, 2) | (~v127(constB45, 2))) <=> ((~v127(constB45, 2)) | v26(constB45) | v130(constB45, 2))),
% 53.79/34.01 inference(rewrite,[status(thm)],[])).
% 53.79/34.01 tff(9679,plain,
% 53.79/34.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB45) | v130(constB45, 2) | (~v127(constB45, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB45, 2)) | v26(constB45) | v130(constB45, 2)))),
% 53.79/34.01 inference(monotonicity,[status(thm)],[9678])).
% 53.79/34.01 tff(9680,plain,
% 53.79/34.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB45) | v130(constB45, 2) | (~v127(constB45, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB45, 2)) | v26(constB45) | v130(constB45, 2))),
% 53.79/34.01 inference(transitivity,[status(thm)],[9679, 9677])).
% 53.79/34.01 tff(9681,plain,
% 53.79/34.01 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB45) | v130(constB45, 2) | (~v127(constB45, 2)))),
% 53.79/34.01 inference(quant_inst,[status(thm)],[])).
% 53.79/34.01 tff(9682,plain,
% 53.79/34.01 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB45, 2)) | v26(constB45) | v130(constB45, 2)),
% 53.79/34.01 inference(modus_ponens,[status(thm)],[9681, 9680])).
% 53.79/34.01 tff(9683,plain,
% 53.79/34.01 ((~v127(constB45, 2)) | v26(constB45)),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[9682, 1190, 9676])).
% 53.79/34.01 tff(9684,plain,
% 53.79/34.01 (v26(constB45)),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[9683, 9675])).
% 53.79/34.01 tff(9685,plain,
% 53.79/34.01 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | ((~v26(constB45)) | (~v127(constB45, 2)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | (~v26(constB45)) | (~v127(constB45, 2)))),
% 53.79/34.01 inference(rewrite,[status(thm)],[])).
% 53.79/34.01 tff(9686,plain,
% 53.79/34.01 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | ((~v26(constB45)) | (~v127(constB45, 2)))),
% 53.79/34.01 inference(quant_inst,[status(thm)],[])).
% 53.79/34.01 tff(9687,plain,
% 53.79/34.01 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | (~v26(constB45)) | (~v127(constB45, 2))),
% 53.79/34.01 inference(modus_ponens,[status(thm)],[9686, 9685])).
% 53.79/34.01 tff(9688,plain,
% 53.79/34.01 ($false),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[9687, 3715, 9675, 9684])).
% 53.79/34.01 tff(9689,plain,((~v127(constB45, 2)) | v130(constB45, 2)), inference(lemma,lemma(discharge,[]))).
% 53.79/34.01 tff(9690,plain,
% 53.79/34.01 (v130(constB45, 2)),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[9689, 9674])).
% 53.79/34.01 tff(9691,plain,
% 53.79/34.01 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~v130(constB45, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~v130(constB45, 2)))),
% 53.79/34.01 inference(rewrite,[status(thm)],[])).
% 53.79/34.01 tff(9692,plain,
% 53.79/34.01 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~v130(constB45, 2)))),
% 53.79/34.01 inference(quant_inst,[status(thm)],[])).
% 53.79/34.01 tff(9693,plain,
% 53.79/34.01 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~v130(constB45, 2))),
% 53.79/34.01 inference(modus_ponens,[status(thm)],[9692, 9691])).
% 53.79/34.01 tff(9694,plain,
% 53.79/34.01 (v121(constB45)),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[9693, 2904, 9690, 9663, 9659, 9655, 9629, 9625])).
% 53.79/34.01 tff(9695,plain,
% 53.79/34.01 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB45)) | (~v130(constB45, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB45)) | (~v130(constB45, 2)))),
% 53.79/34.01 inference(rewrite,[status(thm)],[])).
% 53.79/34.01 tff(9696,plain,
% 53.79/34.01 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB45)) | (~v130(constB45, 2)))),
% 53.79/34.01 inference(quant_inst,[status(thm)],[])).
% 53.79/34.01 tff(9697,plain,
% 53.79/34.01 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB45)) | (~v130(constB45, 2))),
% 53.79/34.01 inference(modus_ponens,[status(thm)],[9696, 9695])).
% 53.79/34.01 tff(9698,plain,
% 53.79/34.01 ($false),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[9697, 1821, 9690, 9694])).
% 53.79/34.01 tff(9699,plain,((~v100(constB46)) | (~v90(constB46, 2)) | (~v90(constB46, 1)) | (~v90(constB46, 0))), inference(lemma,lemma(discharge,[]))).
% 53.79/34.01 tff(9700,plain,
% 53.79/34.01 (~v100(constB46)),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[9699, 9618, 9584, 9601])).
% 53.79/34.01 tff(9701,plain,
% 53.79/34.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB45, 1) | (~nextState(constB45, constB46)) | v100(constB46) | (~v90(constB46, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB45, 1) | (~nextState(constB45, constB46)) | v100(constB46) | (~v90(constB46, 1)))),
% 53.79/34.01 inference(rewrite,[status(thm)],[])).
% 53.79/34.01 tff(9702,plain,
% 53.79/34.01 (((~nextState(constB45, constB46)) | v90(constB45, 1) | v100(constB46) | (~v90(constB46, 1))) <=> (v90(constB45, 1) | (~nextState(constB45, constB46)) | v100(constB46) | (~v90(constB46, 1)))),
% 53.79/34.01 inference(rewrite,[status(thm)],[])).
% 53.79/34.01 tff(9703,plain,
% 53.79/34.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB45, constB46)) | v90(constB45, 1) | v100(constB46) | (~v90(constB46, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB45, 1) | (~nextState(constB45, constB46)) | v100(constB46) | (~v90(constB46, 1))))),
% 53.79/34.01 inference(monotonicity,[status(thm)],[9702])).
% 53.79/34.01 tff(9704,plain,
% 53.79/34.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB45, constB46)) | v90(constB45, 1) | v100(constB46) | (~v90(constB46, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB45, 1) | (~nextState(constB45, constB46)) | v100(constB46) | (~v90(constB46, 1)))),
% 53.79/34.01 inference(transitivity,[status(thm)],[9703, 9701])).
% 53.79/34.01 tff(9705,plain,
% 53.79/34.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB45, constB46)) | v90(constB45, 1) | v100(constB46) | (~v90(constB46, 1)))),
% 53.79/34.01 inference(quant_inst,[status(thm)],[])).
% 53.79/34.01 tff(9706,plain,
% 53.79/34.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB45, 1) | (~nextState(constB45, constB46)) | v100(constB46) | (~v90(constB46, 1))),
% 53.79/34.01 inference(modus_ponens,[status(thm)],[9705, 9704])).
% 53.79/34.01 tff(9707,plain,
% 53.79/34.01 (v90(constB45, 1) | v100(constB46) | (~v90(constB46, 1))),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[9706, 926, 8635])).
% 53.79/34.01 tff(9708,plain,
% 53.79/34.01 (v90(constB45, 1)),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[9707, 9700, 9584])).
% 53.79/34.01 tff(9709,plain,
% 53.79/34.01 (v90(constB44, 1)),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[8559, 9708])).
% 53.79/34.01 tff(9710,plain,
% 53.79/34.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB45, 2) | (~nextState(constB45, constB46)) | v100(constB46) | (~v90(constB46, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB45, 2) | (~nextState(constB45, constB46)) | v100(constB46) | (~v90(constB46, 2)))),
% 53.79/34.01 inference(rewrite,[status(thm)],[])).
% 53.79/34.01 tff(9711,plain,
% 53.79/34.01 (((~nextState(constB45, constB46)) | v90(constB45, 2) | v100(constB46) | (~v90(constB46, 2))) <=> (v90(constB45, 2) | (~nextState(constB45, constB46)) | v100(constB46) | (~v90(constB46, 2)))),
% 53.79/34.01 inference(rewrite,[status(thm)],[])).
% 53.79/34.01 tff(9712,plain,
% 53.79/34.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB45, constB46)) | v90(constB45, 2) | v100(constB46) | (~v90(constB46, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB45, 2) | (~nextState(constB45, constB46)) | v100(constB46) | (~v90(constB46, 2))))),
% 53.79/34.01 inference(monotonicity,[status(thm)],[9711])).
% 53.79/34.01 tff(9713,plain,
% 53.79/34.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB45, constB46)) | v90(constB45, 2) | v100(constB46) | (~v90(constB46, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB45, 2) | (~nextState(constB45, constB46)) | v100(constB46) | (~v90(constB46, 2)))),
% 53.79/34.01 inference(transitivity,[status(thm)],[9712, 9710])).
% 53.79/34.01 tff(9714,plain,
% 53.79/34.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB45, constB46)) | v90(constB45, 2) | v100(constB46) | (~v90(constB46, 2)))),
% 53.79/34.01 inference(quant_inst,[status(thm)],[])).
% 53.79/34.01 tff(9715,plain,
% 53.79/34.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB45, 2) | (~nextState(constB45, constB46)) | v100(constB46) | (~v90(constB46, 2))),
% 53.79/34.01 inference(modus_ponens,[status(thm)],[9714, 9713])).
% 53.79/34.01 tff(9716,plain,
% 53.79/34.01 (v90(constB45, 2) | v100(constB46) | (~v90(constB46, 2))),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[9715, 905, 8635])).
% 53.79/34.01 tff(9717,plain,
% 53.79/34.01 (v90(constB45, 2)),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[9716, 9618, 9700])).
% 53.79/34.01 tff(9718,plain,
% 53.79/34.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB44, 2) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB44, 2) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, 2)))),
% 53.79/34.01 inference(rewrite,[status(thm)],[])).
% 53.79/34.01 tff(9719,plain,
% 53.79/34.01 (((~nextState(constB44, constB45)) | v90(constB44, 2) | v100(constB45) | (~v90(constB45, 2))) <=> (v90(constB44, 2) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, 2)))),
% 53.79/34.01 inference(rewrite,[status(thm)],[])).
% 53.79/34.01 tff(9720,plain,
% 53.79/34.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB44, constB45)) | v90(constB44, 2) | v100(constB45) | (~v90(constB45, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB44, 2) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, 2))))),
% 53.79/34.01 inference(monotonicity,[status(thm)],[9719])).
% 53.79/34.01 tff(9721,plain,
% 53.79/34.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB44, constB45)) | v90(constB44, 2) | v100(constB45) | (~v90(constB45, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB44, 2) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, 2)))),
% 53.79/34.01 inference(transitivity,[status(thm)],[9720, 9718])).
% 53.79/34.01 tff(9722,plain,
% 53.79/34.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB44, constB45)) | v90(constB44, 2) | v100(constB45) | (~v90(constB45, 2)))),
% 53.79/34.01 inference(quant_inst,[status(thm)],[])).
% 53.79/34.01 tff(9723,plain,
% 53.79/34.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB44, 2) | (~nextState(constB44, constB45)) | v100(constB45) | (~v90(constB45, 2))),
% 53.79/34.01 inference(modus_ponens,[status(thm)],[9722, 9721])).
% 53.79/34.01 tff(9724,plain,
% 53.79/34.01 (v90(constB44, 2) | v100(constB45) | (~v90(constB45, 2))),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[9723, 905, 8505])).
% 53.79/34.01 tff(9725,plain,
% 53.79/34.01 (v90(constB44, 2) | (~v90(constB45, 2))),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[9724, 8517])).
% 53.79/34.01 tff(9726,plain,
% 53.79/34.01 (v90(constB44, 2)),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[9725, 9717])).
% 53.79/34.01 tff(9727,plain,
% 53.79/34.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB45, 0) | (~nextState(constB45, constB46)) | v100(constB46) | (~v90(constB46, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB45, 0) | (~nextState(constB45, constB46)) | v100(constB46) | (~v90(constB46, 0)))),
% 53.79/34.01 inference(rewrite,[status(thm)],[])).
% 53.79/34.01 tff(9728,plain,
% 53.79/34.01 (((~nextState(constB45, constB46)) | v90(constB45, 0) | v100(constB46) | (~v90(constB46, 0))) <=> (v90(constB45, 0) | (~nextState(constB45, constB46)) | v100(constB46) | (~v90(constB46, 0)))),
% 53.79/34.01 inference(rewrite,[status(thm)],[])).
% 53.79/34.01 tff(9729,plain,
% 53.79/34.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB45, constB46)) | v90(constB45, 0) | v100(constB46) | (~v90(constB46, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB45, 0) | (~nextState(constB45, constB46)) | v100(constB46) | (~v90(constB46, 0))))),
% 53.79/34.01 inference(monotonicity,[status(thm)],[9728])).
% 53.79/34.01 tff(9730,plain,
% 53.79/34.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB45, constB46)) | v90(constB45, 0) | v100(constB46) | (~v90(constB46, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB45, 0) | (~nextState(constB45, constB46)) | v100(constB46) | (~v90(constB46, 0)))),
% 53.79/34.01 inference(transitivity,[status(thm)],[9729, 9727])).
% 53.79/34.01 tff(9731,plain,
% 53.79/34.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB45, constB46)) | v90(constB45, 0) | v100(constB46) | (~v90(constB46, 0)))),
% 53.79/34.01 inference(quant_inst,[status(thm)],[])).
% 53.79/34.01 tff(9732,plain,
% 53.79/34.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB45, 0) | (~nextState(constB45, constB46)) | v100(constB46) | (~v90(constB46, 0))),
% 53.79/34.01 inference(modus_ponens,[status(thm)],[9731, 9730])).
% 53.79/34.01 tff(9733,plain,
% 53.79/34.01 (v90(constB45, 0) | v100(constB46) | (~v90(constB46, 0))),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[9732, 947, 8635])).
% 53.79/34.01 tff(9734,plain,
% 53.79/34.01 (v90(constB45, 0)),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[9733, 9700, 9601])).
% 53.79/34.01 tff(9735,plain,
% 53.79/34.01 (v90(constB44, 0)),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[8593, 9734])).
% 53.79/34.01 tff(9736,assumption,(v124(constB43)), introduced(assumption)).
% 53.79/34.01 tff(9737,plain,
% 53.79/34.01 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB43) | (~v124(constB43)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB43) | (~v124(constB43)))),
% 53.79/34.01 inference(rewrite,[status(thm)],[])).
% 53.79/34.01 tff(9738,plain,
% 53.79/34.01 (((~v124(constB43)) | v114(constB43)) <=> (v114(constB43) | (~v124(constB43)))),
% 53.79/34.01 inference(rewrite,[status(thm)],[])).
% 53.79/34.01 tff(9739,plain,
% 53.79/34.01 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB43)) | v114(constB43))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB43) | (~v124(constB43))))),
% 53.79/34.01 inference(monotonicity,[status(thm)],[9738])).
% 53.79/34.01 tff(9740,plain,
% 53.79/34.01 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB43)) | v114(constB43))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB43) | (~v124(constB43)))),
% 53.79/34.01 inference(transitivity,[status(thm)],[9739, 9737])).
% 53.79/34.01 tff(9741,plain,
% 53.79/34.01 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB43)) | v114(constB43))),
% 53.79/34.01 inference(quant_inst,[status(thm)],[])).
% 53.79/34.01 tff(9742,plain,
% 53.79/34.01 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB43) | (~v124(constB43))),
% 53.79/34.01 inference(modus_ponens,[status(thm)],[9741, 9740])).
% 53.79/34.01 tff(9743,plain,
% 53.79/34.01 (v114(constB43)),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[9742, 2674, 9736])).
% 53.79/34.01 tff(9744,plain,
% 53.79/34.01 (v113(constB43)),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[8423, 1049, 9743])).
% 53.79/34.01 tff(9745,plain,
% 53.79/34.01 (v112(constB43)),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[8432, 9744])).
% 53.79/34.01 tff(9746,plain,
% 53.79/34.01 (v108(constB43)),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[8439, 1075, 9745])).
% 53.79/34.01 tff(9747,plain,
% 53.79/34.01 (v110(constB44)),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[8450, 9746])).
% 53.79/34.01 tff(9748,plain,
% 53.79/34.01 (v100(constB44)),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[8476, 9747])).
% 53.79/34.01 tff(9749,plain,
% 53.79/34.01 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB43)) | v130(constB43, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB43)) | v130(constB43, 2))),
% 53.79/34.01 inference(rewrite,[status(thm)],[])).
% 53.79/34.01 tff(9750,plain,
% 53.79/34.01 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB43)) | v130(constB43, 2))),
% 53.79/34.01 inference(quant_inst,[status(thm)],[])).
% 53.79/34.01 tff(9751,plain,
% 53.79/34.01 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB43)) | v130(constB43, 2)),
% 53.79/34.01 inference(modus_ponens,[status(thm)],[9750, 9749])).
% 53.79/34.01 tff(9752,plain,
% 53.79/34.01 (v130(constB43, 2)),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[9751, 2741, 9736])).
% 53.79/34.01 tff(9753,plain,
% 53.79/34.01 (v127(constB43, 2)),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[8485, 9752])).
% 53.79/34.01 tff(9754,plain,
% 53.79/34.01 (v129(constB44, 2)),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[8490, 9753])).
% 53.79/34.01 tff(9755,plain,
% 53.79/34.01 (v90(constB44, 2) | (~v100(constB44))),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[8497, 2324, 9754])).
% 53.79/34.01 tff(9756,plain,
% 53.79/34.01 (v90(constB44, 2)),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[9755, 9748])).
% 53.79/34.01 tff(9757,plain,
% 53.79/34.01 (v90(constB45, 2)),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[8525, 9756])).
% 53.79/34.01 tff(9758,plain,
% 53.79/34.01 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB45)) | (~v90(constB45, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB45)) | (~v90(constB45, 2)))),
% 53.79/34.01 inference(rewrite,[status(thm)],[])).
% 53.79/34.01 tff(9759,plain,
% 53.79/34.01 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB45)) | (~v90(constB45, 2)))),
% 53.79/34.01 inference(quant_inst,[status(thm)],[])).
% 53.79/34.01 tff(9760,plain,
% 53.79/34.01 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB45)) | (~v90(constB45, 2))),
% 53.79/34.01 inference(modus_ponens,[status(thm)],[9759, 9758])).
% 53.79/34.01 tff(9761,plain,
% 53.79/34.01 (~v121(constB45)),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[9760, 2857, 9757])).
% 53.79/34.01 tff(9762,plain,
% 53.79/34.01 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB45)) | (~v90(constB45, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB45)) | (~v90(constB45, 2)))),
% 53.79/34.01 inference(rewrite,[status(thm)],[])).
% 53.79/34.01 tff(9763,plain,
% 53.79/34.01 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB45)) | (~v90(constB45, 2)))),
% 53.79/34.01 inference(quant_inst,[status(thm)],[])).
% 53.79/34.01 tff(9764,plain,
% 53.79/34.01 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB45)) | (~v90(constB45, 2))),
% 53.79/34.01 inference(modus_ponens,[status(thm)],[9763, 9762])).
% 53.79/34.01 tff(9765,plain,
% 53.79/34.01 (~v122(constB45)),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[9764, 2797, 9757])).
% 53.79/34.01 tff(9766,plain,
% 53.79/34.01 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB43)) | v130(constB43, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB43)) | v130(constB43, 1))),
% 53.79/34.01 inference(rewrite,[status(thm)],[])).
% 53.79/34.01 tff(9767,plain,
% 53.79/34.01 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB43)) | v130(constB43, 1))),
% 53.79/34.01 inference(quant_inst,[status(thm)],[])).
% 53.79/34.01 tff(9768,plain,
% 53.79/34.01 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB43)) | v130(constB43, 1)),
% 53.79/34.01 inference(modus_ponens,[status(thm)],[9767, 9766])).
% 53.79/34.01 tff(9769,plain,
% 53.79/34.01 (v130(constB43, 1)),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[9768, 2808, 9736])).
% 53.79/34.01 tff(9770,plain,
% 53.79/34.01 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB43) | (~v130(constB43, 1)) | v127(constB43, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB43) | (~v130(constB43, 1)) | v127(constB43, 1))),
% 53.79/34.01 inference(rewrite,[status(thm)],[])).
% 53.79/34.01 tff(9771,plain,
% 53.79/34.01 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB43) | (~v130(constB43, 1)) | v127(constB43, 1))),
% 53.79/34.01 inference(quant_inst,[status(thm)],[])).
% 53.79/34.01 tff(9772,plain,
% 53.79/34.01 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB43) | (~v130(constB43, 1)) | v127(constB43, 1)),
% 53.79/34.01 inference(modus_ponens,[status(thm)],[9771, 9770])).
% 53.79/34.01 tff(9773,plain,
% 53.79/34.01 ((~v130(constB43, 1)) | v127(constB43, 1)),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[9772, 1593, 8428])).
% 53.79/34.01 tff(9774,plain,
% 53.79/34.01 (v127(constB43, 1)),
% 53.79/34.01 inference(unit_resolution,[status(thm)],[9773, 9769])).
% 53.79/34.01 tff(9775,plain,
% 53.79/34.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB43, constB44)) | (~v127(constB43, 1)) | v129(constB44, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB43, constB44)) | (~v127(constB43, 1)) | v129(constB44, 1))),
% 53.79/34.01 inference(rewrite,[status(thm)],[])).
% 53.79/34.01 tff(9776,plain,
% 53.79/34.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB43, constB44)) | (~v127(constB43, 1)) | v129(constB44, 1))),
% 53.79/34.01 inference(quant_inst,[status(thm)],[])).
% 53.79/34.01 tff(9777,plain,
% 53.79/34.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB43, constB44)) | (~v127(constB43, 1)) | v129(constB44, 1)),
% 53.79/34.02 inference(modus_ponens,[status(thm)],[9776, 9775])).
% 53.79/34.02 tff(9778,plain,
% 53.79/34.02 ((~v127(constB43, 1)) | v129(constB44, 1)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9777, 1608, 8443])).
% 53.79/34.02 tff(9779,plain,
% 53.79/34.02 (v129(constB44, 1)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9778, 9774])).
% 53.79/34.02 tff(9780,plain,
% 53.79/34.02 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB44, 1) | (~v129(constB44, 1)) | (~v100(constB44)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB44, 1) | (~v129(constB44, 1)) | (~v100(constB44)))),
% 53.79/34.02 inference(rewrite,[status(thm)],[])).
% 53.79/34.02 tff(9781,plain,
% 53.79/34.02 ((v90(constB44, 1) | (~v100(constB44)) | (~v129(constB44, 1))) <=> (v90(constB44, 1) | (~v129(constB44, 1)) | (~v100(constB44)))),
% 53.79/34.02 inference(rewrite,[status(thm)],[])).
% 53.79/34.02 tff(9782,plain,
% 53.79/34.02 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB44, 1) | (~v100(constB44)) | (~v129(constB44, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB44, 1) | (~v129(constB44, 1)) | (~v100(constB44))))),
% 53.79/34.02 inference(monotonicity,[status(thm)],[9781])).
% 53.79/34.02 tff(9783,plain,
% 53.79/34.02 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB44, 1) | (~v100(constB44)) | (~v129(constB44, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB44, 1) | (~v129(constB44, 1)) | (~v100(constB44)))),
% 53.79/34.02 inference(transitivity,[status(thm)],[9782, 9780])).
% 53.79/34.02 tff(9784,plain,
% 53.79/34.02 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB44, 1) | (~v100(constB44)) | (~v129(constB44, 1)))),
% 53.79/34.02 inference(quant_inst,[status(thm)],[])).
% 53.79/34.02 tff(9785,plain,
% 53.79/34.02 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB44, 1) | (~v129(constB44, 1)) | (~v100(constB44))),
% 53.79/34.02 inference(modus_ponens,[status(thm)],[9784, 9783])).
% 53.79/34.02 tff(9786,plain,
% 53.79/34.02 (v90(constB44, 1) | (~v100(constB44))),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9785, 1623, 9779])).
% 53.79/34.02 tff(9787,plain,
% 53.79/34.02 (v90(constB44, 1)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9786, 9748])).
% 53.79/34.02 tff(9788,plain,
% 53.79/34.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB44, 1)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB44, 1)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, 1))),
% 53.79/34.02 inference(rewrite,[status(thm)],[])).
% 53.79/34.02 tff(9789,plain,
% 53.79/34.02 (((~nextState(constB44, constB45)) | (~v90(constB44, 1)) | v100(constB45) | v90(constB45, 1)) <=> ((~v90(constB44, 1)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, 1))),
% 53.79/34.02 inference(rewrite,[status(thm)],[])).
% 53.79/34.02 tff(9790,plain,
% 53.79/34.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB44, constB45)) | (~v90(constB44, 1)) | v100(constB45) | v90(constB45, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB44, 1)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, 1)))),
% 53.79/34.02 inference(monotonicity,[status(thm)],[9789])).
% 53.79/34.02 tff(9791,plain,
% 53.79/34.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB44, constB45)) | (~v90(constB44, 1)) | v100(constB45) | v90(constB45, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB44, 1)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, 1))),
% 53.79/34.02 inference(transitivity,[status(thm)],[9790, 9788])).
% 53.79/34.02 tff(9792,plain,
% 53.79/34.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB44, constB45)) | (~v90(constB44, 1)) | v100(constB45) | v90(constB45, 1))),
% 53.79/34.02 inference(quant_inst,[status(thm)],[])).
% 53.79/34.02 tff(9793,plain,
% 53.79/34.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB44, 1)) | (~nextState(constB44, constB45)) | v100(constB45) | v90(constB45, 1)),
% 53.79/34.02 inference(modus_ponens,[status(thm)],[9792, 9791])).
% 53.79/34.02 tff(9794,plain,
% 53.79/34.02 ((~v90(constB44, 1)) | v100(constB45) | v90(constB45, 1)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9793, 1641, 8505])).
% 53.79/34.02 tff(9795,plain,
% 53.79/34.02 ((~v90(constB44, 1)) | v90(constB45, 1)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9794, 8517])).
% 53.79/34.02 tff(9796,plain,
% 53.79/34.02 (v90(constB45, 1)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9795, 9787])).
% 53.79/34.02 tff(9797,plain,
% 53.79/34.02 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB45)) | (~v90(constB45, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB45)) | (~v90(constB45, 1)))),
% 53.79/34.02 inference(rewrite,[status(thm)],[])).
% 53.79/34.02 tff(9798,plain,
% 53.79/34.02 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB45)) | (~v90(constB45, 1)))),
% 53.79/34.02 inference(quant_inst,[status(thm)],[])).
% 53.79/34.02 tff(9799,plain,
% 53.79/34.02 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB45)) | (~v90(constB45, 1))),
% 53.79/34.02 inference(modus_ponens,[status(thm)],[9798, 9797])).
% 53.79/34.02 tff(9800,plain,
% 53.79/34.02 (~v119(constB45)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9799, 2868, 9796])).
% 53.79/34.02 tff(9801,plain,
% 53.79/34.02 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB45)) | (~v90(constB45, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB45)) | (~v90(constB45, 1)))),
% 53.79/34.02 inference(rewrite,[status(thm)],[])).
% 53.79/34.02 tff(9802,plain,
% 53.79/34.02 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB45)) | (~v90(constB45, 1)))),
% 53.79/34.02 inference(quant_inst,[status(thm)],[])).
% 53.79/34.02 tff(9803,plain,
% 53.79/34.02 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB45)) | (~v90(constB45, 1))),
% 53.79/34.02 inference(modus_ponens,[status(thm)],[9802, 9801])).
% 53.79/34.02 tff(9804,plain,
% 53.79/34.02 (~v120(constB45)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9803, 2846, 9796])).
% 53.79/34.02 tff(9805,plain,
% 53.79/34.02 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB45)) | (~v90(constB45, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB45)) | (~v90(constB45, 1)))),
% 53.79/34.02 inference(rewrite,[status(thm)],[])).
% 53.79/34.02 tff(9806,plain,
% 53.79/34.02 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB45)) | (~v90(constB45, 1)))),
% 53.79/34.02 inference(quant_inst,[status(thm)],[])).
% 53.79/34.02 tff(9807,plain,
% 53.79/34.02 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB45)) | (~v90(constB45, 1))),
% 53.79/34.02 inference(modus_ponens,[status(thm)],[9806, 9805])).
% 53.79/34.02 tff(9808,plain,
% 53.79/34.02 (~v123(constB45)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9807, 2879, 9796])).
% 53.79/34.02 tff(9809,plain,
% 53.79/34.02 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB45)) | (~v90(constB45, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB45)) | (~v90(constB45, 1)))),
% 53.79/34.02 inference(rewrite,[status(thm)],[])).
% 53.79/34.02 tff(9810,plain,
% 53.79/34.02 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB45)) | (~v90(constB45, 1)))),
% 53.79/34.02 inference(quant_inst,[status(thm)],[])).
% 53.79/34.02 tff(9811,plain,
% 53.79/34.02 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB45)) | (~v90(constB45, 1))),
% 53.79/34.02 inference(modus_ponens,[status(thm)],[9810, 9809])).
% 53.79/34.02 tff(9812,plain,
% 53.79/34.02 (~v124(constB45)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9811, 2890, 9796])).
% 53.79/34.02 tff(9813,plain,
% 53.79/34.02 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB43)) | (~v130(constB43, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB43)) | (~v130(constB43, 0)))),
% 53.79/34.02 inference(rewrite,[status(thm)],[])).
% 53.79/34.02 tff(9814,plain,
% 53.79/34.02 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB43)) | (~v130(constB43, 0)))),
% 53.79/34.02 inference(quant_inst,[status(thm)],[])).
% 53.79/34.02 tff(9815,plain,
% 53.79/34.02 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB43)) | (~v130(constB43, 0))),
% 53.79/34.02 inference(modus_ponens,[status(thm)],[9814, 9813])).
% 53.79/34.02 tff(9816,plain,
% 53.79/34.02 (~v130(constB43, 0)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9815, 3274, 9736])).
% 53.79/34.02 tff(9817,plain,
% 53.79/34.02 (~v127(constB43, 0)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[8571, 9816])).
% 53.79/34.02 tff(9818,plain,
% 53.79/34.02 (~v129(constB44, 0)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[8576, 9817])).
% 53.79/34.02 tff(9819,plain,
% 53.79/34.02 ((~v90(constB44, 0)) | (~v100(constB44))),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[8583, 1704, 9818])).
% 53.79/34.02 tff(9820,plain,
% 53.79/34.02 (~v90(constB44, 0)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9819, 9748])).
% 53.79/34.02 tff(9821,plain,
% 53.79/34.02 (~v90(constB45, 0)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[8593, 9820])).
% 53.79/34.02 tff(9822,plain,
% 53.79/34.02 (v100(constB46)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9733, 9821, 9630])).
% 53.79/34.02 tff(9823,plain,
% 53.79/34.02 (v129(constB46, 1)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9621, 9822])).
% 53.79/34.02 tff(9824,plain,
% 53.79/34.02 (v127(constB45, 1)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[8731, 9823])).
% 53.79/34.02 tff(9825,plain,
% 53.79/34.02 (v130(constB45, 1)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[8726, 9824])).
% 53.79/34.02 tff(9826,plain,
% 53.79/34.02 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~v130(constB45, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~v130(constB45, 1)))),
% 53.79/34.02 inference(rewrite,[status(thm)],[])).
% 53.79/34.02 tff(9827,plain,
% 53.79/34.02 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~v130(constB45, 1)))),
% 53.79/34.02 inference(quant_inst,[status(thm)],[])).
% 53.79/34.02 tff(9828,plain,
% 53.79/34.02 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB45) | v120(constB45) | v121(constB45) | v122(constB45) | v123(constB45) | v124(constB45) | (~v130(constB45, 1))),
% 53.79/34.02 inference(modus_ponens,[status(thm)],[9827, 9826])).
% 53.79/34.02 tff(9829,plain,
% 53.79/34.02 ($false),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9828, 3309, 9825, 9812, 9808, 9804, 9800, 9765, 9761])).
% 53.79/34.02 tff(9830,plain,((~v124(constB43)) | (~v90(constB46, 1)) | (~v90(constB46, 0))), inference(lemma,lemma(discharge,[]))).
% 53.79/34.02 tff(9831,plain,
% 53.79/34.02 (~v124(constB43)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9830, 9584, 9601])).
% 53.79/34.02 tff(9832,assumption,(v100(constB44)), introduced(assumption)).
% 53.79/34.02 tff(9833,assumption,(v90(constB44, 0)), introduced(assumption)).
% 53.79/34.02 tff(9834,plain,
% 53.79/34.02 (v129(constB44, 0) | (~v100(constB44))),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[8583, 1704, 9833])).
% 53.79/34.02 tff(9835,plain,
% 53.79/34.02 (v129(constB44, 0)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9834, 9832])).
% 53.79/34.02 tff(9836,plain,
% 53.79/34.02 (v127(constB43, 0)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[8576, 9835])).
% 53.79/34.02 tff(9837,plain,
% 53.79/34.02 (v130(constB43, 0)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[8571, 9836])).
% 53.79/34.02 tff(9838,plain,
% 53.79/34.02 (~v122(constB43)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[8563, 2407, 9837])).
% 53.79/34.02 tff(9839,assumption,(v90(constB44, 2)), introduced(assumption)).
% 53.79/34.02 tff(9840,plain,
% 53.79/34.02 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB44, 2)) | v129(constB44, 2) | (~v100(constB44)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB44, 2)) | v129(constB44, 2) | (~v100(constB44)))),
% 53.79/34.02 inference(rewrite,[status(thm)],[])).
% 53.79/34.02 tff(9841,plain,
% 53.79/34.02 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB44, 2)) | v129(constB44, 2) | (~v100(constB44)))),
% 53.79/34.02 inference(quant_inst,[status(thm)],[])).
% 53.79/34.02 tff(9842,plain,
% 53.79/34.02 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB44, 2)) | v129(constB44, 2) | (~v100(constB44))),
% 53.79/34.02 inference(modus_ponens,[status(thm)],[9841, 9840])).
% 53.79/34.02 tff(9843,plain,
% 53.79/34.02 (v129(constB44, 2) | (~v100(constB44))),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9842, 1223, 9839])).
% 53.79/34.02 tff(9844,plain,
% 53.79/34.02 (v129(constB44, 2)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9843, 9832])).
% 53.79/34.02 tff(9845,plain,
% 53.79/34.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB43, constB44)) | v127(constB43, 2) | (~v129(constB44, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB43, constB44)) | v127(constB43, 2) | (~v129(constB44, 2)))),
% 53.79/34.02 inference(rewrite,[status(thm)],[])).
% 53.79/34.02 tff(9846,plain,
% 53.79/34.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB43, constB44)) | v127(constB43, 2) | (~v129(constB44, 2)))),
% 53.79/34.02 inference(quant_inst,[status(thm)],[])).
% 53.79/34.02 tff(9847,plain,
% 53.79/34.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB43, constB44)) | v127(constB43, 2) | (~v129(constB44, 2))),
% 53.79/34.02 inference(modus_ponens,[status(thm)],[9846, 9845])).
% 53.79/34.02 tff(9848,plain,
% 53.79/34.02 (v127(constB43, 2) | (~v129(constB44, 2))),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9847, 1208, 8443])).
% 53.79/34.02 tff(9849,plain,
% 53.79/34.02 (v127(constB43, 2)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9848, 9844])).
% 53.79/34.02 tff(9850,plain,
% 53.79/34.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB43, 2)) | v26(constB43) | v130(constB43, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB43, 2)) | v26(constB43) | v130(constB43, 2))),
% 53.79/34.02 inference(rewrite,[status(thm)],[])).
% 53.79/34.02 tff(9851,plain,
% 53.79/34.02 ((v26(constB43) | v130(constB43, 2) | (~v127(constB43, 2))) <=> ((~v127(constB43, 2)) | v26(constB43) | v130(constB43, 2))),
% 53.79/34.02 inference(rewrite,[status(thm)],[])).
% 53.79/34.02 tff(9852,plain,
% 53.79/34.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB43) | v130(constB43, 2) | (~v127(constB43, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB43, 2)) | v26(constB43) | v130(constB43, 2)))),
% 53.79/34.02 inference(monotonicity,[status(thm)],[9851])).
% 53.79/34.02 tff(9853,plain,
% 53.79/34.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB43) | v130(constB43, 2) | (~v127(constB43, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB43, 2)) | v26(constB43) | v130(constB43, 2))),
% 53.79/34.02 inference(transitivity,[status(thm)],[9852, 9850])).
% 53.79/34.02 tff(9854,plain,
% 53.79/34.02 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB43) | v130(constB43, 2) | (~v127(constB43, 2)))),
% 53.79/34.02 inference(quant_inst,[status(thm)],[])).
% 53.79/34.02 tff(9855,plain,
% 53.79/34.02 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB43, 2)) | v26(constB43) | v130(constB43, 2)),
% 53.79/34.02 inference(modus_ponens,[status(thm)],[9854, 9853])).
% 53.79/34.02 tff(9856,plain,
% 53.79/34.02 ((~v127(constB43, 2)) | v130(constB43, 2)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9855, 1190, 8428])).
% 53.79/34.02 tff(9857,plain,
% 53.79/34.02 (v130(constB43, 2)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9856, 9849])).
% 53.79/34.02 tff(9858,plain,
% 53.79/34.02 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB43)) | (~v130(constB43, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB43)) | (~v130(constB43, 2)))),
% 53.79/34.02 inference(rewrite,[status(thm)],[])).
% 53.79/34.02 tff(9859,plain,
% 53.79/34.02 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB43)) | (~v130(constB43, 2)))),
% 53.79/34.02 inference(quant_inst,[status(thm)],[])).
% 53.79/34.02 tff(9860,plain,
% 53.79/34.02 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB43)) | (~v130(constB43, 2))),
% 53.79/34.02 inference(modus_ponens,[status(thm)],[9859, 9858])).
% 53.79/34.02 tff(9861,plain,
% 53.79/34.02 (~v119(constB43)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9860, 1176, 9857])).
% 53.79/34.02 tff(9862,assumption,(~v124(constB43)), introduced(assumption)).
% 53.79/34.02 tff(9863,plain,
% 53.79/34.02 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB43)) | (~v130(constB43, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB43)) | (~v130(constB43, 2)))),
% 53.79/34.02 inference(rewrite,[status(thm)],[])).
% 53.79/34.02 tff(9864,plain,
% 53.79/34.02 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB43)) | (~v130(constB43, 2)))),
% 53.79/34.02 inference(quant_inst,[status(thm)],[])).
% 53.79/34.02 tff(9865,plain,
% 53.79/34.02 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB43)) | (~v130(constB43, 2))),
% 53.79/34.02 inference(modus_ponens,[status(thm)],[9864, 9863])).
% 53.79/34.02 tff(9866,plain,
% 53.79/34.02 (~v120(constB43)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9865, 1523, 9857])).
% 53.79/34.02 tff(9867,plain,
% 53.79/34.02 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB43)) | (~v130(constB43, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB43)) | (~v130(constB43, 2)))),
% 53.79/34.02 inference(rewrite,[status(thm)],[])).
% 53.79/34.02 tff(9868,plain,
% 53.79/34.02 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB43)) | (~v130(constB43, 2)))),
% 53.79/34.02 inference(quant_inst,[status(thm)],[])).
% 53.79/34.02 tff(9869,plain,
% 53.79/34.02 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB43)) | (~v130(constB43, 2))),
% 53.79/34.02 inference(modus_ponens,[status(thm)],[9868, 9867])).
% 53.79/34.02 tff(9870,plain,
% 53.79/34.02 (~v121(constB43)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9869, 1821, 9857])).
% 53.79/34.02 tff(9871,assumption,(v90(constB44, 1)), introduced(assumption)).
% 53.79/34.02 tff(9872,plain,
% 53.79/34.02 (v129(constB44, 1) | (~v100(constB44))),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[8549, 1309, 9871])).
% 53.79/34.02 tff(9873,plain,
% 53.79/34.02 (v129(constB44, 1)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9872, 9832])).
% 53.79/34.02 tff(9874,plain,
% 53.79/34.02 (v127(constB43, 1)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[8542, 9873])).
% 53.79/34.02 tff(9875,plain,
% 53.79/34.02 (v130(constB43, 1)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[8537, 9874])).
% 53.79/34.02 tff(9876,plain,
% 53.79/34.02 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB43) | v120(constB43) | v121(constB43) | v122(constB43) | v123(constB43) | v124(constB43) | (~v130(constB43, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB43) | v120(constB43) | v121(constB43) | v122(constB43) | v123(constB43) | v124(constB43) | (~v130(constB43, 1)))),
% 53.79/34.02 inference(rewrite,[status(thm)],[])).
% 53.79/34.02 tff(9877,plain,
% 53.79/34.02 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB43) | v120(constB43) | v121(constB43) | v122(constB43) | v123(constB43) | v124(constB43) | (~v130(constB43, 1)))),
% 53.79/34.02 inference(quant_inst,[status(thm)],[])).
% 53.79/34.02 tff(9878,plain,
% 53.79/34.02 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB43) | v120(constB43) | v121(constB43) | v122(constB43) | v123(constB43) | v124(constB43) | (~v130(constB43, 1))),
% 53.79/34.02 inference(modus_ponens,[status(thm)],[9877, 9876])).
% 53.79/34.02 tff(9879,plain,
% 53.79/34.02 (v123(constB43)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9878, 3309, 9875, 9870, 9866, 9862, 9861, 9838])).
% 53.79/34.02 tff(9880,plain,
% 53.79/34.02 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB43)) | (~v130(constB43, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB43)) | (~v130(constB43, 1)))),
% 53.79/34.02 inference(rewrite,[status(thm)],[])).
% 53.79/34.02 tff(9881,plain,
% 53.79/34.02 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB43)) | (~v130(constB43, 1)))),
% 53.79/34.02 inference(quant_inst,[status(thm)],[])).
% 53.79/34.02 tff(9882,plain,
% 53.79/34.02 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB43)) | (~v130(constB43, 1))),
% 53.79/34.02 inference(modus_ponens,[status(thm)],[9881, 9880])).
% 53.79/34.02 tff(9883,plain,
% 53.79/34.02 ($false),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9882, 2581, 9875, 9879])).
% 53.79/34.02 tff(9884,plain,((~v100(constB44)) | v124(constB43) | (~v90(constB44, 1)) | (~v90(constB44, 0)) | (~v90(constB44, 2))), inference(lemma,lemma(discharge,[]))).
% 53.79/34.02 tff(9885,plain,
% 53.79/34.02 (~v100(constB44)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9884, 9709, 9831, 9735, 9726])).
% 53.79/34.02 tff(9886,plain,
% 53.79/34.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB43, 1) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB43, 1) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, 1)))),
% 53.79/34.02 inference(rewrite,[status(thm)],[])).
% 53.79/34.02 tff(9887,plain,
% 53.79/34.02 (((~nextState(constB43, constB44)) | v90(constB43, 1) | v100(constB44) | (~v90(constB44, 1))) <=> (v90(constB43, 1) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, 1)))),
% 53.79/34.02 inference(rewrite,[status(thm)],[])).
% 53.79/34.02 tff(9888,plain,
% 53.79/34.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB43, constB44)) | v90(constB43, 1) | v100(constB44) | (~v90(constB44, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB43, 1) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, 1))))),
% 53.79/34.02 inference(monotonicity,[status(thm)],[9887])).
% 53.79/34.02 tff(9889,plain,
% 53.79/34.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB43, constB44)) | v90(constB43, 1) | v100(constB44) | (~v90(constB44, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB43, 1) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, 1)))),
% 53.79/34.02 inference(transitivity,[status(thm)],[9888, 9886])).
% 53.79/34.02 tff(9890,plain,
% 53.79/34.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB43, constB44)) | v90(constB43, 1) | v100(constB44) | (~v90(constB44, 1)))),
% 53.79/34.02 inference(quant_inst,[status(thm)],[])).
% 53.79/34.02 tff(9891,plain,
% 53.79/34.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB43, 1) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, 1))),
% 53.79/34.02 inference(modus_ponens,[status(thm)],[9890, 9889])).
% 53.79/34.02 tff(9892,plain,
% 53.79/34.02 (v90(constB43, 1) | v100(constB44) | (~v90(constB44, 1))),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9891, 926, 8443])).
% 53.79/34.02 tff(9893,plain,
% 53.79/34.02 (v90(constB43, 1)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9892, 9885, 9709])).
% 53.79/34.02 tff(9894,plain,
% 53.79/34.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB42, 1) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB42, 1) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, 1)))),
% 53.79/34.02 inference(rewrite,[status(thm)],[])).
% 53.79/34.02 tff(9895,plain,
% 53.79/34.02 (((~nextState(constB42, constB43)) | v90(constB42, 1) | v100(constB43) | (~v90(constB43, 1))) <=> (v90(constB42, 1) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, 1)))),
% 53.79/34.02 inference(rewrite,[status(thm)],[])).
% 53.79/34.02 tff(9896,plain,
% 53.79/34.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB42, constB43)) | v90(constB42, 1) | v100(constB43) | (~v90(constB43, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB42, 1) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, 1))))),
% 53.79/34.02 inference(monotonicity,[status(thm)],[9895])).
% 53.79/34.02 tff(9897,plain,
% 53.79/34.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB42, constB43)) | v90(constB42, 1) | v100(constB43) | (~v90(constB43, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB42, 1) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, 1)))),
% 53.79/34.02 inference(transitivity,[status(thm)],[9896, 9894])).
% 53.79/34.02 tff(9898,plain,
% 53.79/34.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB42, constB43)) | v90(constB42, 1) | v100(constB43) | (~v90(constB43, 1)))),
% 53.79/34.02 inference(quant_inst,[status(thm)],[])).
% 53.79/34.02 tff(9899,plain,
% 53.79/34.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB42, 1) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, 1))),
% 53.79/34.02 inference(modus_ponens,[status(thm)],[9898, 9897])).
% 53.79/34.02 tff(9900,plain,
% 53.79/34.02 (v90(constB42, 1) | v100(constB43) | (~v90(constB43, 1))),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9899, 926, 8265])).
% 53.79/34.02 tff(9901,plain,
% 53.79/34.02 (v90(constB42, 1) | (~v90(constB43, 1))),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9900, 8277])).
% 53.79/34.02 tff(9902,plain,
% 53.79/34.02 (v90(constB42, 1)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9901, 9893])).
% 53.79/34.02 tff(9903,plain,
% 53.79/34.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB43, 0) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB43, 0) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, 0)))),
% 53.79/34.02 inference(rewrite,[status(thm)],[])).
% 53.79/34.02 tff(9904,plain,
% 53.79/34.02 (((~nextState(constB43, constB44)) | v90(constB43, 0) | v100(constB44) | (~v90(constB44, 0))) <=> (v90(constB43, 0) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, 0)))),
% 53.79/34.02 inference(rewrite,[status(thm)],[])).
% 53.79/34.02 tff(9905,plain,
% 53.79/34.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB43, constB44)) | v90(constB43, 0) | v100(constB44) | (~v90(constB44, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB43, 0) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, 0))))),
% 53.79/34.02 inference(monotonicity,[status(thm)],[9904])).
% 53.79/34.02 tff(9906,plain,
% 53.79/34.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB43, constB44)) | v90(constB43, 0) | v100(constB44) | (~v90(constB44, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB43, 0) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, 0)))),
% 53.79/34.02 inference(transitivity,[status(thm)],[9905, 9903])).
% 53.79/34.02 tff(9907,plain,
% 53.79/34.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB43, constB44)) | v90(constB43, 0) | v100(constB44) | (~v90(constB44, 0)))),
% 53.79/34.02 inference(quant_inst,[status(thm)],[])).
% 53.79/34.02 tff(9908,plain,
% 53.79/34.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB43, 0) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, 0))),
% 53.79/34.02 inference(modus_ponens,[status(thm)],[9907, 9906])).
% 53.79/34.02 tff(9909,plain,
% 53.79/34.02 (v90(constB43, 0) | v100(constB44) | (~v90(constB44, 0))),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9908, 947, 8443])).
% 53.79/34.02 tff(9910,plain,
% 53.79/34.02 (v90(constB43, 0)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9909, 9885, 9735])).
% 53.79/34.02 tff(9911,plain,
% 53.79/34.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB42, 0) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB42, 0) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, 0)))),
% 53.79/34.02 inference(rewrite,[status(thm)],[])).
% 53.79/34.02 tff(9912,plain,
% 53.79/34.02 (((~nextState(constB42, constB43)) | v90(constB42, 0) | v100(constB43) | (~v90(constB43, 0))) <=> (v90(constB42, 0) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, 0)))),
% 53.79/34.02 inference(rewrite,[status(thm)],[])).
% 53.79/34.02 tff(9913,plain,
% 53.79/34.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB42, constB43)) | v90(constB42, 0) | v100(constB43) | (~v90(constB43, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB42, 0) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, 0))))),
% 53.79/34.02 inference(monotonicity,[status(thm)],[9912])).
% 53.79/34.02 tff(9914,plain,
% 53.79/34.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB42, constB43)) | v90(constB42, 0) | v100(constB43) | (~v90(constB43, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB42, 0) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, 0)))),
% 53.79/34.02 inference(transitivity,[status(thm)],[9913, 9911])).
% 53.79/34.02 tff(9915,plain,
% 53.79/34.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB42, constB43)) | v90(constB42, 0) | v100(constB43) | (~v90(constB43, 0)))),
% 53.79/34.02 inference(quant_inst,[status(thm)],[])).
% 53.79/34.02 tff(9916,plain,
% 53.79/34.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB42, 0) | (~nextState(constB42, constB43)) | v100(constB43) | (~v90(constB43, 0))),
% 53.79/34.02 inference(modus_ponens,[status(thm)],[9915, 9914])).
% 53.79/34.02 tff(9917,plain,
% 53.79/34.02 (v90(constB42, 0) | v100(constB43) | (~v90(constB43, 0))),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9916, 947, 8265])).
% 53.79/34.02 tff(9918,plain,
% 53.79/34.02 (v90(constB42, 0) | (~v90(constB43, 0))),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9917, 8277])).
% 53.79/34.02 tff(9919,plain,
% 53.79/34.02 (v90(constB42, 0)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9918, 9910])).
% 53.79/34.02 tff(9920,plain,
% 53.79/34.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB43, 2) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB43, 2) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, 2)))),
% 53.79/34.02 inference(rewrite,[status(thm)],[])).
% 53.79/34.02 tff(9921,plain,
% 53.79/34.02 (((~nextState(constB43, constB44)) | v90(constB43, 2) | v100(constB44) | (~v90(constB44, 2))) <=> (v90(constB43, 2) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, 2)))),
% 53.79/34.02 inference(rewrite,[status(thm)],[])).
% 53.79/34.02 tff(9922,plain,
% 53.79/34.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB43, constB44)) | v90(constB43, 2) | v100(constB44) | (~v90(constB44, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB43, 2) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, 2))))),
% 53.79/34.02 inference(monotonicity,[status(thm)],[9921])).
% 53.79/34.02 tff(9923,plain,
% 53.79/34.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB43, constB44)) | v90(constB43, 2) | v100(constB44) | (~v90(constB44, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB43, 2) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, 2)))),
% 53.79/34.02 inference(transitivity,[status(thm)],[9922, 9920])).
% 53.79/34.02 tff(9924,plain,
% 53.79/34.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB43, constB44)) | v90(constB43, 2) | v100(constB44) | (~v90(constB44, 2)))),
% 53.79/34.02 inference(quant_inst,[status(thm)],[])).
% 53.79/34.02 tff(9925,plain,
% 53.79/34.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB43, 2) | (~nextState(constB43, constB44)) | v100(constB44) | (~v90(constB44, 2))),
% 53.79/34.02 inference(modus_ponens,[status(thm)],[9924, 9923])).
% 53.79/34.02 tff(9926,plain,
% 53.79/34.02 (v90(constB43, 2) | v100(constB44) | (~v90(constB44, 2))),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9925, 905, 8443])).
% 53.79/34.02 tff(9927,plain,
% 53.79/34.02 (v90(constB43, 2)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9926, 9885, 9726])).
% 53.79/34.02 tff(9928,plain,
% 53.79/34.02 (v90(constB42, 2)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[8285, 9927])).
% 53.79/34.02 tff(9929,assumption,(v100(constB42)), introduced(assumption)).
% 53.79/34.02 tff(9930,assumption,(v90(constB42, 2)), introduced(assumption)).
% 53.79/34.02 tff(9931,plain,
% 53.79/34.02 (v129(constB42, 2) | (~v100(constB42))),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[8257, 1223, 9930])).
% 53.79/34.02 tff(9932,plain,
% 53.79/34.02 (v129(constB42, 2)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9931, 9929])).
% 53.79/34.02 tff(9933,plain,
% 53.79/34.02 (v127(constB41, 2)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[8253, 9932])).
% 53.79/34.02 tff(9934,plain,
% 53.79/34.02 (v130(constB41, 2)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[8248, 9933])).
% 53.79/34.02 tff(9935,plain,
% 53.79/34.02 (~v121(constB41)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[8240, 1821, 9934])).
% 53.79/34.02 tff(9936,plain,
% 53.79/34.02 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB41)) | (~v130(constB41, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB41)) | (~v130(constB41, 2)))),
% 53.79/34.02 inference(rewrite,[status(thm)],[])).
% 53.79/34.02 tff(9937,plain,
% 53.79/34.02 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB41)) | (~v130(constB41, 2)))),
% 53.79/34.02 inference(quant_inst,[status(thm)],[])).
% 53.79/34.02 tff(9938,plain,
% 53.79/34.02 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB41)) | (~v130(constB41, 2))),
% 53.79/34.02 inference(modus_ponens,[status(thm)],[9937, 9936])).
% 53.79/34.02 tff(9939,plain,
% 53.79/34.02 (~v120(constB41)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9938, 1523, 9934])).
% 53.79/34.02 tff(9940,plain,
% 53.79/34.02 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB41)) | (~v130(constB41, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB41)) | (~v130(constB41, 2)))),
% 53.79/34.02 inference(rewrite,[status(thm)],[])).
% 53.79/34.02 tff(9941,plain,
% 53.79/34.02 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB41)) | (~v130(constB41, 2)))),
% 53.79/34.02 inference(quant_inst,[status(thm)],[])).
% 53.79/34.02 tff(9942,plain,
% 53.79/34.02 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB41)) | (~v130(constB41, 2))),
% 53.79/34.02 inference(modus_ponens,[status(thm)],[9941, 9940])).
% 53.79/34.02 tff(9943,plain,
% 53.79/34.02 (~v119(constB41)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9942, 1176, 9934])).
% 53.79/34.02 tff(9944,assumption,(v90(constB42, 0)), introduced(assumption)).
% 53.79/34.02 tff(9945,plain,
% 53.79/34.02 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB42, 0)) | v129(constB42, 0) | (~v100(constB42)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB42, 0)) | v129(constB42, 0) | (~v100(constB42)))),
% 53.79/34.02 inference(rewrite,[status(thm)],[])).
% 53.79/34.02 tff(9946,plain,
% 53.79/34.02 (((~v90(constB42, 0)) | (~v100(constB42)) | v129(constB42, 0)) <=> ((~v90(constB42, 0)) | v129(constB42, 0) | (~v100(constB42)))),
% 53.79/34.02 inference(rewrite,[status(thm)],[])).
% 53.79/34.02 tff(9947,plain,
% 53.79/34.02 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB42, 0)) | (~v100(constB42)) | v129(constB42, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB42, 0)) | v129(constB42, 0) | (~v100(constB42))))),
% 53.79/34.02 inference(monotonicity,[status(thm)],[9946])).
% 53.79/34.02 tff(9948,plain,
% 53.79/34.02 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB42, 0)) | (~v100(constB42)) | v129(constB42, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB42, 0)) | v129(constB42, 0) | (~v100(constB42)))),
% 53.79/34.02 inference(transitivity,[status(thm)],[9947, 9945])).
% 53.79/34.02 tff(9949,plain,
% 53.79/34.02 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB42, 0)) | (~v100(constB42)) | v129(constB42, 0))),
% 53.79/34.02 inference(quant_inst,[status(thm)],[])).
% 53.79/34.02 tff(9950,plain,
% 53.79/34.02 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB42, 0)) | v129(constB42, 0) | (~v100(constB42))),
% 53.79/34.02 inference(modus_ponens,[status(thm)],[9949, 9948])).
% 53.79/34.02 tff(9951,plain,
% 53.79/34.02 (v129(constB42, 0) | (~v100(constB42))),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9950, 1704, 9944])).
% 53.79/34.02 tff(9952,plain,
% 53.79/34.02 (v129(constB42, 0)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9951, 9929])).
% 53.79/34.02 tff(9953,plain,
% 53.79/34.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB41, constB42)) | v127(constB41, 0) | (~v129(constB42, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB41, constB42)) | v127(constB41, 0) | (~v129(constB42, 0)))),
% 53.79/34.02 inference(rewrite,[status(thm)],[])).
% 53.79/34.02 tff(9954,plain,
% 53.79/34.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB41, constB42)) | v127(constB41, 0) | (~v129(constB42, 0)))),
% 53.79/34.02 inference(quant_inst,[status(thm)],[])).
% 53.79/34.02 tff(9955,plain,
% 53.79/34.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB41, constB42)) | v127(constB41, 0) | (~v129(constB42, 0))),
% 53.79/34.02 inference(modus_ponens,[status(thm)],[9954, 9953])).
% 53.79/34.02 tff(9956,plain,
% 53.79/34.02 (v127(constB41, 0) | (~v129(constB42, 0))),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9955, 1689, 8206])).
% 53.79/34.02 tff(9957,plain,
% 53.79/34.02 (v127(constB41, 0)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9956, 9952])).
% 53.79/34.02 tff(9958,plain,
% 53.79/34.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB41, 0)) | v26(constB41) | v130(constB41, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB41, 0)) | v26(constB41) | v130(constB41, 0))),
% 53.79/34.02 inference(rewrite,[status(thm)],[])).
% 53.79/34.02 tff(9959,plain,
% 53.79/34.02 ((v26(constB41) | v130(constB41, 0) | (~v127(constB41, 0))) <=> ((~v127(constB41, 0)) | v26(constB41) | v130(constB41, 0))),
% 53.79/34.02 inference(rewrite,[status(thm)],[])).
% 53.79/34.02 tff(9960,plain,
% 53.79/34.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB41) | v130(constB41, 0) | (~v127(constB41, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB41, 0)) | v26(constB41) | v130(constB41, 0)))),
% 53.79/34.02 inference(monotonicity,[status(thm)],[9959])).
% 53.79/34.02 tff(9961,plain,
% 53.79/34.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB41) | v130(constB41, 0) | (~v127(constB41, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB41, 0)) | v26(constB41) | v130(constB41, 0))),
% 53.79/34.02 inference(transitivity,[status(thm)],[9960, 9958])).
% 53.79/34.02 tff(9962,plain,
% 53.79/34.02 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB41) | v130(constB41, 0) | (~v127(constB41, 0)))),
% 53.79/34.02 inference(quant_inst,[status(thm)],[])).
% 53.79/34.02 tff(9963,plain,
% 53.79/34.02 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB41, 0)) | v26(constB41) | v130(constB41, 0)),
% 53.79/34.02 inference(modus_ponens,[status(thm)],[9962, 9961])).
% 53.79/34.02 tff(9964,plain,
% 53.79/34.02 ((~v127(constB41, 0)) | v130(constB41, 0)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9963, 1671, 8191])).
% 53.79/34.02 tff(9965,plain,
% 53.79/34.02 (v130(constB41, 0)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9964, 9957])).
% 53.79/34.02 tff(9966,plain,
% 53.79/34.02 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB41)) | (~v130(constB41, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB41)) | (~v130(constB41, 0)))),
% 53.79/34.02 inference(rewrite,[status(thm)],[])).
% 53.79/34.02 tff(9967,plain,
% 53.79/34.02 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB41)) | (~v130(constB41, 0)))),
% 53.79/34.02 inference(quant_inst,[status(thm)],[])).
% 53.79/34.02 tff(9968,plain,
% 53.79/34.02 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB41)) | (~v130(constB41, 0))),
% 53.79/34.02 inference(modus_ponens,[status(thm)],[9967, 9966])).
% 53.79/34.02 tff(9969,plain,
% 53.79/34.02 (~v124(constB41)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9968, 3274, 9965])).
% 53.79/34.02 tff(9970,assumption,(v122(constB41)), introduced(assumption)).
% 53.79/34.02 tff(9971,plain,
% 53.79/34.02 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB41)) | v116(constB41))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB41)) | v116(constB41))),
% 53.79/34.02 inference(rewrite,[status(thm)],[])).
% 53.79/34.02 tff(9972,plain,
% 53.79/34.02 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB41)) | v116(constB41))),
% 53.79/34.02 inference(quant_inst,[status(thm)],[])).
% 53.79/34.02 tff(9973,plain,
% 53.79/34.02 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB41)) | v116(constB41)),
% 53.79/34.02 inference(modus_ponens,[status(thm)],[9972, 9971])).
% 53.79/34.02 tff(9974,plain,
% 53.79/34.02 (v116(constB41)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9973, 2120, 9970])).
% 53.79/34.02 tff(9975,plain,
% 53.79/34.02 (v115(constB41)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[8178, 1021, 9974])).
% 53.79/34.02 tff(9976,plain,
% 53.79/34.02 (v114(constB41)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[8182, 1035, 9975])).
% 53.79/34.02 tff(9977,plain,
% 53.79/34.02 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB41)) | (~v130(constB41, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB41)) | (~v130(constB41, 0)))),
% 53.79/34.02 inference(rewrite,[status(thm)],[])).
% 53.79/34.02 tff(9978,plain,
% 53.79/34.02 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB41)) | (~v130(constB41, 0)))),
% 53.79/34.02 inference(quant_inst,[status(thm)],[])).
% 53.79/34.02 tff(9979,plain,
% 53.79/34.02 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB41)) | (~v130(constB41, 0))),
% 53.79/34.02 inference(modus_ponens,[status(thm)],[9978, 9977])).
% 53.79/34.02 tff(9980,plain,
% 53.79/34.02 (~v130(constB41, 0)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9979, 2407, 9970])).
% 53.79/34.02 tff(9981,plain,
% 53.79/34.02 (~v127(constB41, 0)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9964, 9980])).
% 53.79/34.02 tff(9982,plain,
% 53.79/34.02 (~v129(constB42, 0)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9956, 9981])).
% 53.79/34.02 tff(9983,plain,
% 53.79/34.02 (~v100(constB42)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[9951, 9982])).
% 53.79/34.02 tff(9984,plain,
% 53.79/34.02 (~v110(constB42)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[8236, 9983])).
% 53.79/34.02 tff(9985,plain,
% 53.79/34.02 (~v108(constB41)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[8213, 9984])).
% 53.79/34.02 tff(9986,plain,
% 53.79/34.02 (~v112(constB41)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[8202, 1075, 9985])).
% 53.79/34.02 tff(9987,plain,
% 53.79/34.02 (~v113(constB41)),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[8195, 9986])).
% 53.79/34.02 tff(9988,plain,
% 53.79/34.02 ($false),
% 53.79/34.02 inference(unit_resolution,[status(thm)],[8186, 1049, 9987, 9976])).
% 53.79/34.03 tff(9989,plain,((~v122(constB41)) | (~v90(constB42, 0))), inference(lemma,lemma(discharge,[]))).
% 53.79/34.03 tff(9990,plain,
% 53.79/34.03 (~v122(constB41)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[9989, 9944])).
% 53.79/34.03 tff(9991,assumption,(v90(constB42, 1)), introduced(assumption)).
% 53.79/34.03 tff(9992,plain,
% 53.79/34.03 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB42, 1)) | v129(constB42, 1) | (~v100(constB42)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB42, 1)) | v129(constB42, 1) | (~v100(constB42)))),
% 53.79/34.03 inference(rewrite,[status(thm)],[])).
% 53.79/34.03 tff(9993,plain,
% 53.79/34.03 (((~v90(constB42, 1)) | (~v100(constB42)) | v129(constB42, 1)) <=> ((~v90(constB42, 1)) | v129(constB42, 1) | (~v100(constB42)))),
% 53.79/34.03 inference(rewrite,[status(thm)],[])).
% 53.79/34.03 tff(9994,plain,
% 53.79/34.03 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB42, 1)) | (~v100(constB42)) | v129(constB42, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB42, 1)) | v129(constB42, 1) | (~v100(constB42))))),
% 53.79/34.03 inference(monotonicity,[status(thm)],[9993])).
% 53.79/34.03 tff(9995,plain,
% 53.79/34.03 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB42, 1)) | (~v100(constB42)) | v129(constB42, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB42, 1)) | v129(constB42, 1) | (~v100(constB42)))),
% 53.79/34.03 inference(transitivity,[status(thm)],[9994, 9992])).
% 53.79/34.03 tff(9996,plain,
% 53.79/34.03 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB42, 1)) | (~v100(constB42)) | v129(constB42, 1))),
% 53.79/34.03 inference(quant_inst,[status(thm)],[])).
% 53.79/34.03 tff(9997,plain,
% 53.79/34.03 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB42, 1)) | v129(constB42, 1) | (~v100(constB42))),
% 53.79/34.03 inference(modus_ponens,[status(thm)],[9996, 9995])).
% 53.79/34.03 tff(9998,plain,
% 53.79/34.03 (v129(constB42, 1) | (~v100(constB42))),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[9997, 1309, 9991])).
% 53.79/34.03 tff(9999,plain,
% 53.79/34.03 (v129(constB42, 1)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[9998, 9929])).
% 53.79/34.03 tff(10000,plain,
% 53.79/34.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB41, constB42)) | v127(constB41, 1) | (~v129(constB42, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB41, constB42)) | v127(constB41, 1) | (~v129(constB42, 1)))),
% 53.79/34.03 inference(rewrite,[status(thm)],[])).
% 53.79/34.03 tff(10001,plain,
% 53.79/34.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB41, constB42)) | v127(constB41, 1) | (~v129(constB42, 1)))),
% 53.79/34.03 inference(quant_inst,[status(thm)],[])).
% 53.79/34.03 tff(10002,plain,
% 53.79/34.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB41, constB42)) | v127(constB41, 1) | (~v129(constB42, 1))),
% 53.79/34.03 inference(modus_ponens,[status(thm)],[10001, 10000])).
% 53.79/34.03 tff(10003,plain,
% 53.79/34.03 (v127(constB41, 1) | (~v129(constB42, 1))),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10002, 1294, 8206])).
% 53.79/34.03 tff(10004,plain,
% 53.79/34.03 (v127(constB41, 1)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10003, 9999])).
% 53.79/34.03 tff(10005,plain,
% 53.79/34.03 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB41, 1)) | v26(constB41) | v130(constB41, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB41, 1)) | v26(constB41) | v130(constB41, 1))),
% 53.79/34.03 inference(rewrite,[status(thm)],[])).
% 53.79/34.03 tff(10006,plain,
% 53.79/34.03 ((v26(constB41) | v130(constB41, 1) | (~v127(constB41, 1))) <=> ((~v127(constB41, 1)) | v26(constB41) | v130(constB41, 1))),
% 53.79/34.03 inference(rewrite,[status(thm)],[])).
% 53.79/34.03 tff(10007,plain,
% 53.79/34.03 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB41) | v130(constB41, 1) | (~v127(constB41, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB41, 1)) | v26(constB41) | v130(constB41, 1)))),
% 53.79/34.03 inference(monotonicity,[status(thm)],[10006])).
% 53.79/34.03 tff(10008,plain,
% 53.79/34.03 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB41) | v130(constB41, 1) | (~v127(constB41, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB41, 1)) | v26(constB41) | v130(constB41, 1))),
% 53.79/34.03 inference(transitivity,[status(thm)],[10007, 10005])).
% 53.79/34.03 tff(10009,plain,
% 53.79/34.03 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB41) | v130(constB41, 1) | (~v127(constB41, 1)))),
% 53.79/34.03 inference(quant_inst,[status(thm)],[])).
% 53.79/34.03 tff(10010,plain,
% 53.79/34.03 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB41, 1)) | v26(constB41) | v130(constB41, 1)),
% 53.79/34.03 inference(modus_ponens,[status(thm)],[10009, 10008])).
% 53.79/34.03 tff(10011,plain,
% 53.79/34.03 ((~v127(constB41, 1)) | v130(constB41, 1)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10010, 1276, 8191])).
% 53.79/34.03 tff(10012,plain,
% 53.79/34.03 (v130(constB41, 1)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10011, 10004])).
% 53.79/34.03 tff(10013,plain,
% 53.79/34.03 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB41) | v120(constB41) | v121(constB41) | v122(constB41) | v123(constB41) | v124(constB41) | (~v130(constB41, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB41) | v120(constB41) | v121(constB41) | v122(constB41) | v123(constB41) | v124(constB41) | (~v130(constB41, 1)))),
% 53.79/34.03 inference(rewrite,[status(thm)],[])).
% 53.79/34.03 tff(10014,plain,
% 53.79/34.03 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB41) | v120(constB41) | v121(constB41) | v122(constB41) | v123(constB41) | v124(constB41) | (~v130(constB41, 1)))),
% 53.79/34.03 inference(quant_inst,[status(thm)],[])).
% 53.79/34.03 tff(10015,plain,
% 53.79/34.03 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB41) | v120(constB41) | v121(constB41) | v122(constB41) | v123(constB41) | v124(constB41) | (~v130(constB41, 1))),
% 53.79/34.03 inference(modus_ponens,[status(thm)],[10014, 10013])).
% 53.79/34.03 tff(10016,plain,
% 53.79/34.03 (v123(constB41)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10015, 3309, 10012, 9990, 9969, 9943, 9939, 9935])).
% 53.79/34.03 tff(10017,plain,
% 53.79/34.03 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB41)) | (~v130(constB41, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB41)) | (~v130(constB41, 1)))),
% 53.79/34.03 inference(rewrite,[status(thm)],[])).
% 53.79/34.03 tff(10018,plain,
% 53.79/34.03 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB41)) | (~v130(constB41, 1)))),
% 53.79/34.03 inference(quant_inst,[status(thm)],[])).
% 53.79/34.03 tff(10019,plain,
% 53.79/34.03 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB41)) | (~v130(constB41, 1))),
% 53.79/34.03 inference(modus_ponens,[status(thm)],[10018, 10017])).
% 53.79/34.03 tff(10020,plain,
% 53.79/34.03 ($false),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10019, 2581, 10012, 10016])).
% 53.79/34.03 tff(10021,plain,((~v100(constB42)) | (~v90(constB42, 1)) | (~v90(constB42, 0)) | (~v90(constB42, 2))), inference(lemma,lemma(discharge,[]))).
% 53.79/34.03 tff(10022,plain,
% 53.79/34.03 (~v100(constB42)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10021, 9928, 9902, 9919])).
% 53.79/34.03 tff(10023,plain,
% 53.79/34.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB41, 1) | (~nextState(constB41, constB42)) | v100(constB42) | (~v90(constB42, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB41, 1) | (~nextState(constB41, constB42)) | v100(constB42) | (~v90(constB42, 1)))),
% 53.79/34.03 inference(rewrite,[status(thm)],[])).
% 53.79/34.03 tff(10024,plain,
% 53.79/34.03 (((~nextState(constB41, constB42)) | v90(constB41, 1) | v100(constB42) | (~v90(constB42, 1))) <=> (v90(constB41, 1) | (~nextState(constB41, constB42)) | v100(constB42) | (~v90(constB42, 1)))),
% 53.79/34.03 inference(rewrite,[status(thm)],[])).
% 53.79/34.03 tff(10025,plain,
% 53.79/34.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB41, constB42)) | v90(constB41, 1) | v100(constB42) | (~v90(constB42, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB41, 1) | (~nextState(constB41, constB42)) | v100(constB42) | (~v90(constB42, 1))))),
% 53.79/34.03 inference(monotonicity,[status(thm)],[10024])).
% 53.79/34.03 tff(10026,plain,
% 53.79/34.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB41, constB42)) | v90(constB41, 1) | v100(constB42) | (~v90(constB42, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB41, 1) | (~nextState(constB41, constB42)) | v100(constB42) | (~v90(constB42, 1)))),
% 53.79/34.03 inference(transitivity,[status(thm)],[10025, 10023])).
% 53.79/34.03 tff(10027,plain,
% 53.79/34.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB41, constB42)) | v90(constB41, 1) | v100(constB42) | (~v90(constB42, 1)))),
% 53.79/34.03 inference(quant_inst,[status(thm)],[])).
% 53.79/34.03 tff(10028,plain,
% 53.79/34.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB41, 1) | (~nextState(constB41, constB42)) | v100(constB42) | (~v90(constB42, 1))),
% 53.79/34.03 inference(modus_ponens,[status(thm)],[10027, 10026])).
% 53.79/34.03 tff(10029,plain,
% 53.79/34.03 (v90(constB41, 1) | v100(constB42) | (~v90(constB42, 1))),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10028, 926, 8206])).
% 53.79/34.03 tff(10030,plain,
% 53.79/34.03 (v90(constB41, 1)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10029, 10022, 9902])).
% 53.79/34.03 tff(10031,plain,
% 53.79/34.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB40, 1) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB40, 1) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, 1)))),
% 53.79/34.03 inference(rewrite,[status(thm)],[])).
% 53.79/34.03 tff(10032,plain,
% 53.79/34.03 (((~nextState(constB40, constB41)) | v90(constB40, 1) | v100(constB41) | (~v90(constB41, 1))) <=> (v90(constB40, 1) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, 1)))),
% 53.79/34.03 inference(rewrite,[status(thm)],[])).
% 53.79/34.03 tff(10033,plain,
% 53.79/34.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB40, constB41)) | v90(constB40, 1) | v100(constB41) | (~v90(constB41, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB40, 1) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, 1))))),
% 53.79/34.03 inference(monotonicity,[status(thm)],[10032])).
% 53.79/34.03 tff(10034,plain,
% 53.79/34.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB40, constB41)) | v90(constB40, 1) | v100(constB41) | (~v90(constB41, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB40, 1) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, 1)))),
% 53.79/34.03 inference(transitivity,[status(thm)],[10033, 10031])).
% 53.79/34.03 tff(10035,plain,
% 53.79/34.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB40, constB41)) | v90(constB40, 1) | v100(constB41) | (~v90(constB41, 1)))),
% 53.79/34.03 inference(quant_inst,[status(thm)],[])).
% 53.79/34.03 tff(10036,plain,
% 53.79/34.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB40, 1) | (~nextState(constB40, constB41)) | v100(constB41) | (~v90(constB41, 1))),
% 53.79/34.03 inference(modus_ponens,[status(thm)],[10035, 10034])).
% 53.79/34.03 tff(10037,plain,
% 53.79/34.03 (v90(constB40, 1) | v100(constB41) | (~v90(constB41, 1))),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10036, 926, 8075])).
% 53.79/34.03 tff(10038,plain,
% 53.79/34.03 (v90(constB40, 1) | (~v90(constB41, 1))),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10037, 8087])).
% 53.79/34.03 tff(10039,plain,
% 53.79/34.03 (v90(constB40, 1)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10038, 10030])).
% 53.79/34.03 tff(10040,assumption,(v122(constB39)), introduced(assumption)).
% 53.79/34.03 tff(10041,plain,
% 53.79/34.03 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB39)) | v116(constB39))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB39)) | v116(constB39))),
% 53.79/34.03 inference(rewrite,[status(thm)],[])).
% 53.79/34.03 tff(10042,plain,
% 53.79/34.03 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB39)) | v116(constB39))),
% 53.79/34.03 inference(quant_inst,[status(thm)],[])).
% 53.79/34.03 tff(10043,plain,
% 53.79/34.03 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB39)) | v116(constB39)),
% 53.79/34.03 inference(modus_ponens,[status(thm)],[10042, 10041])).
% 53.79/34.03 tff(10044,plain,
% 53.79/34.03 (v116(constB39)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10043, 2120, 10040])).
% 53.79/34.03 tff(10045,plain,
% 53.79/34.03 (v115(constB39)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[7941, 1021, 10044])).
% 53.79/34.03 tff(10046,plain,
% 53.79/34.03 (v114(constB39)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[7922, 1035, 10045])).
% 53.79/34.03 tff(10047,plain,
% 53.79/34.03 (v113(constB39)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[7985, 1049, 10046])).
% 53.79/34.03 tff(10048,plain,
% 53.79/34.03 (v108(constB39)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[8008, 10047])).
% 53.79/34.03 tff(10049,plain,
% 53.79/34.03 (v110(constB40)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[8019, 10048])).
% 53.79/34.03 tff(10050,plain,
% 53.79/34.03 (v100(constB40)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[8042, 10049])).
% 53.79/34.03 tff(10051,plain,
% 53.79/34.03 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB39)) | v130(constB39, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB39)) | v130(constB39, 2))),
% 53.79/34.03 inference(rewrite,[status(thm)],[])).
% 53.79/34.03 tff(10052,plain,
% 53.79/34.03 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB39)) | v130(constB39, 2))),
% 53.79/34.03 inference(quant_inst,[status(thm)],[])).
% 53.79/34.03 tff(10053,plain,
% 53.79/34.03 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB39)) | v130(constB39, 2)),
% 53.79/34.03 inference(modus_ponens,[status(thm)],[10052, 10051])).
% 53.79/34.03 tff(10054,plain,
% 53.79/34.03 (v130(constB39, 2)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10053, 1967, 10040])).
% 53.79/34.03 tff(10055,plain,
% 53.79/34.03 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB39) | (~v130(constB39, 2)) | v127(constB39, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB39) | (~v130(constB39, 2)) | v127(constB39, 2))),
% 53.79/34.03 inference(rewrite,[status(thm)],[])).
% 53.79/34.03 tff(10056,plain,
% 53.79/34.03 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB39) | (~v130(constB39, 2)) | v127(constB39, 2))),
% 53.79/34.03 inference(quant_inst,[status(thm)],[])).
% 53.79/34.03 tff(10057,plain,
% 53.79/34.03 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB39) | (~v130(constB39, 2)) | v127(constB39, 2)),
% 53.79/34.03 inference(modus_ponens,[status(thm)],[10056, 10055])).
% 53.79/34.03 tff(10058,plain,
% 53.79/34.03 ((~v130(constB39, 2)) | v127(constB39, 2)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10057, 1981, 8051])).
% 53.79/34.03 tff(10059,plain,
% 53.79/34.03 (v127(constB39, 2)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10058, 10054])).
% 53.79/34.03 tff(10060,plain,
% 53.79/34.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB39, constB40)) | (~v127(constB39, 2)) | v129(constB40, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB39, constB40)) | (~v127(constB39, 2)) | v129(constB40, 2))),
% 53.79/34.03 inference(rewrite,[status(thm)],[])).
% 53.79/34.03 tff(10061,plain,
% 53.79/34.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB39, constB40)) | (~v127(constB39, 2)) | v129(constB40, 2))),
% 53.79/34.03 inference(quant_inst,[status(thm)],[])).
% 53.79/34.03 tff(10062,plain,
% 53.79/34.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB39, constB40)) | (~v127(constB39, 2)) | v129(constB40, 2)),
% 53.79/34.03 inference(modus_ponens,[status(thm)],[10061, 10060])).
% 53.79/34.03 tff(10063,plain,
% 53.79/34.03 ((~v127(constB39, 2)) | v129(constB40, 2)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10062, 1999, 8012])).
% 53.79/34.03 tff(10064,plain,
% 53.79/34.03 (v129(constB40, 2)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10063, 10059])).
% 53.79/34.03 tff(10065,plain,
% 53.79/34.03 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB40, 2) | (~v129(constB40, 2)) | (~v100(constB40)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB40, 2) | (~v129(constB40, 2)) | (~v100(constB40)))),
% 53.79/34.03 inference(rewrite,[status(thm)],[])).
% 53.79/34.03 tff(10066,plain,
% 53.79/34.03 ((v90(constB40, 2) | (~v100(constB40)) | (~v129(constB40, 2))) <=> (v90(constB40, 2) | (~v129(constB40, 2)) | (~v100(constB40)))),
% 53.79/34.03 inference(rewrite,[status(thm)],[])).
% 53.79/34.03 tff(10067,plain,
% 53.79/34.03 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB40, 2) | (~v100(constB40)) | (~v129(constB40, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB40, 2) | (~v129(constB40, 2)) | (~v100(constB40))))),
% 53.79/34.03 inference(monotonicity,[status(thm)],[10066])).
% 53.79/34.03 tff(10068,plain,
% 53.79/34.03 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB40, 2) | (~v100(constB40)) | (~v129(constB40, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB40, 2) | (~v129(constB40, 2)) | (~v100(constB40)))),
% 53.79/34.03 inference(transitivity,[status(thm)],[10067, 10065])).
% 53.79/34.03 tff(10069,plain,
% 53.79/34.03 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB40, 2) | (~v100(constB40)) | (~v129(constB40, 2)))),
% 53.79/34.03 inference(quant_inst,[status(thm)],[])).
% 53.79/34.03 tff(10070,plain,
% 53.79/34.03 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB40, 2) | (~v129(constB40, 2)) | (~v100(constB40))),
% 53.79/34.03 inference(modus_ponens,[status(thm)],[10069, 10068])).
% 53.79/34.03 tff(10071,plain,
% 53.79/34.03 (v90(constB40, 2) | (~v100(constB40))),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10070, 2324, 10064])).
% 53.79/34.03 tff(10072,plain,
% 53.79/34.03 (v90(constB40, 2)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10071, 10050])).
% 53.79/34.03 tff(10073,plain,
% 53.79/34.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB40, 2)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB40, 2)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, 2))),
% 53.79/34.03 inference(rewrite,[status(thm)],[])).
% 53.79/34.03 tff(10074,plain,
% 53.79/34.03 (((~nextState(constB40, constB41)) | (~v90(constB40, 2)) | v100(constB41) | v90(constB41, 2)) <=> ((~v90(constB40, 2)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, 2))),
% 53.79/34.03 inference(rewrite,[status(thm)],[])).
% 53.79/34.03 tff(10075,plain,
% 53.79/34.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB40, constB41)) | (~v90(constB40, 2)) | v100(constB41) | v90(constB41, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB40, 2)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, 2)))),
% 53.79/34.03 inference(monotonicity,[status(thm)],[10074])).
% 53.79/34.03 tff(10076,plain,
% 53.79/34.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB40, constB41)) | (~v90(constB40, 2)) | v100(constB41) | v90(constB41, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB40, 2)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, 2))),
% 53.79/34.03 inference(transitivity,[status(thm)],[10075, 10073])).
% 53.79/34.03 tff(10077,plain,
% 53.79/34.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB40, constB41)) | (~v90(constB40, 2)) | v100(constB41) | v90(constB41, 2))),
% 53.79/34.03 inference(quant_inst,[status(thm)],[])).
% 53.79/34.03 tff(10078,plain,
% 53.79/34.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB40, 2)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, 2)),
% 53.79/34.03 inference(modus_ponens,[status(thm)],[10077, 10076])).
% 53.79/34.03 tff(10079,plain,
% 53.79/34.03 ((~v90(constB40, 2)) | v100(constB41) | v90(constB41, 2)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10078, 2174, 8075])).
% 53.79/34.03 tff(10080,plain,
% 53.79/34.03 ((~v90(constB40, 2)) | v90(constB41, 2)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10079, 8087])).
% 53.79/34.03 tff(10081,plain,
% 53.79/34.03 (v90(constB41, 2)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10080, 10072])).
% 53.79/34.03 tff(10082,plain,
% 53.79/34.03 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB39)) | (~v130(constB39, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB39)) | (~v130(constB39, 1)))),
% 53.79/34.03 inference(rewrite,[status(thm)],[])).
% 53.79/34.03 tff(10083,plain,
% 53.79/34.03 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB39)) | (~v130(constB39, 1)))),
% 53.79/34.03 inference(quant_inst,[status(thm)],[])).
% 53.79/34.03 tff(10084,plain,
% 53.79/34.03 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB39)) | (~v130(constB39, 1))),
% 53.79/34.03 inference(modus_ponens,[status(thm)],[10083, 10082])).
% 53.79/34.03 tff(10085,plain,
% 53.79/34.03 (~v130(constB39, 1)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10084, 2366, 10040])).
% 53.79/34.03 tff(10086,plain,
% 53.79/34.03 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB39, 1)) | v26(constB39) | v130(constB39, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB39, 1)) | v26(constB39) | v130(constB39, 1))),
% 53.79/34.03 inference(rewrite,[status(thm)],[])).
% 53.79/34.03 tff(10087,plain,
% 53.79/34.03 ((v26(constB39) | v130(constB39, 1) | (~v127(constB39, 1))) <=> ((~v127(constB39, 1)) | v26(constB39) | v130(constB39, 1))),
% 53.79/34.03 inference(rewrite,[status(thm)],[])).
% 53.79/34.03 tff(10088,plain,
% 53.79/34.03 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB39) | v130(constB39, 1) | (~v127(constB39, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB39, 1)) | v26(constB39) | v130(constB39, 1)))),
% 53.79/34.03 inference(monotonicity,[status(thm)],[10087])).
% 53.79/34.03 tff(10089,plain,
% 53.79/34.03 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB39) | v130(constB39, 1) | (~v127(constB39, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB39, 1)) | v26(constB39) | v130(constB39, 1))),
% 53.79/34.03 inference(transitivity,[status(thm)],[10088, 10086])).
% 53.79/34.03 tff(10090,plain,
% 53.79/34.03 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB39) | v130(constB39, 1) | (~v127(constB39, 1)))),
% 53.79/34.03 inference(quant_inst,[status(thm)],[])).
% 53.79/34.03 tff(10091,plain,
% 53.79/34.03 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB39, 1)) | v26(constB39) | v130(constB39, 1)),
% 53.79/34.03 inference(modus_ponens,[status(thm)],[10090, 10089])).
% 53.79/34.03 tff(10092,plain,
% 53.79/34.03 ((~v127(constB39, 1)) | v130(constB39, 1)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10091, 1276, 8051])).
% 53.79/34.03 tff(10093,plain,
% 53.79/34.03 (~v127(constB39, 1)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10092, 10085])).
% 53.79/34.03 tff(10094,plain,
% 53.79/34.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB39, constB40)) | v127(constB39, 1) | (~v129(constB40, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB39, constB40)) | v127(constB39, 1) | (~v129(constB40, 1)))),
% 53.79/34.03 inference(rewrite,[status(thm)],[])).
% 53.79/34.03 tff(10095,plain,
% 53.79/34.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB39, constB40)) | v127(constB39, 1) | (~v129(constB40, 1)))),
% 53.79/34.03 inference(quant_inst,[status(thm)],[])).
% 53.79/34.03 tff(10096,plain,
% 53.79/34.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB39, constB40)) | v127(constB39, 1) | (~v129(constB40, 1))),
% 53.79/34.03 inference(modus_ponens,[status(thm)],[10095, 10094])).
% 53.79/34.03 tff(10097,plain,
% 53.79/34.03 (v127(constB39, 1) | (~v129(constB40, 1))),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10096, 1294, 8012])).
% 53.79/34.03 tff(10098,plain,
% 53.79/34.03 (~v129(constB40, 1)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10097, 10093])).
% 53.79/34.03 tff(10099,plain,
% 53.79/34.03 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB40, 1)) | v129(constB40, 1) | (~v100(constB40)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB40, 1)) | v129(constB40, 1) | (~v100(constB40)))),
% 53.79/34.03 inference(rewrite,[status(thm)],[])).
% 53.79/34.03 tff(10100,plain,
% 53.79/34.03 (((~v90(constB40, 1)) | (~v100(constB40)) | v129(constB40, 1)) <=> ((~v90(constB40, 1)) | v129(constB40, 1) | (~v100(constB40)))),
% 53.79/34.03 inference(rewrite,[status(thm)],[])).
% 53.79/34.03 tff(10101,plain,
% 53.79/34.03 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB40, 1)) | (~v100(constB40)) | v129(constB40, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB40, 1)) | v129(constB40, 1) | (~v100(constB40))))),
% 53.79/34.03 inference(monotonicity,[status(thm)],[10100])).
% 53.79/34.03 tff(10102,plain,
% 53.79/34.03 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB40, 1)) | (~v100(constB40)) | v129(constB40, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB40, 1)) | v129(constB40, 1) | (~v100(constB40)))),
% 53.79/34.03 inference(transitivity,[status(thm)],[10101, 10099])).
% 53.79/34.03 tff(10103,plain,
% 53.79/34.03 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB40, 1)) | (~v100(constB40)) | v129(constB40, 1))),
% 53.79/34.03 inference(quant_inst,[status(thm)],[])).
% 53.79/34.03 tff(10104,plain,
% 53.79/34.03 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB40, 1)) | v129(constB40, 1) | (~v100(constB40))),
% 53.79/34.03 inference(modus_ponens,[status(thm)],[10103, 10102])).
% 53.79/34.03 tff(10105,plain,
% 53.79/34.03 ((~v90(constB40, 1)) | (~v100(constB40))),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10104, 1309, 10098])).
% 53.79/34.03 tff(10106,plain,
% 53.79/34.03 (~v90(constB40, 1)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10105, 10050])).
% 53.79/34.03 tff(10107,plain,
% 53.79/34.03 (~v90(constB41, 1)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10038, 10106])).
% 53.79/34.03 tff(10108,plain,
% 53.79/34.03 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB39)) | (~v130(constB39, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB39)) | (~v130(constB39, 0)))),
% 53.79/34.03 inference(rewrite,[status(thm)],[])).
% 53.79/34.03 tff(10109,plain,
% 53.79/34.03 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB39)) | (~v130(constB39, 0)))),
% 53.79/34.03 inference(quant_inst,[status(thm)],[])).
% 53.79/34.03 tff(10110,plain,
% 53.79/34.03 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB39)) | (~v130(constB39, 0))),
% 53.79/34.03 inference(modus_ponens,[status(thm)],[10109, 10108])).
% 53.79/34.03 tff(10111,plain,
% 53.79/34.03 (~v130(constB39, 0)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10110, 2407, 10040])).
% 53.79/34.03 tff(10112,plain,
% 53.79/34.03 (~v127(constB39, 0)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[8134, 10111])).
% 53.79/34.03 tff(10113,plain,
% 53.79/34.03 (~v129(constB40, 0)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[8139, 10112])).
% 53.79/34.03 tff(10114,plain,
% 53.79/34.03 ((~v90(constB40, 0)) | (~v100(constB40))),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[8146, 1704, 10113])).
% 53.79/34.03 tff(10115,plain,
% 53.79/34.03 (~v90(constB40, 0)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10114, 10050])).
% 53.79/34.03 tff(10116,plain,
% 53.79/34.03 (~v90(constB41, 0)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[8156, 10115])).
% 53.79/34.03 tff(10117,plain,
% 53.79/34.03 (v123(constB41)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[8341, 2308, 10116, 10107, 10081])).
% 53.79/34.03 tff(10118,plain,
% 53.79/34.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB41, 0) | (~nextState(constB41, constB42)) | v100(constB42) | (~v90(constB42, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB41, 0) | (~nextState(constB41, constB42)) | v100(constB42) | (~v90(constB42, 0)))),
% 53.79/34.03 inference(rewrite,[status(thm)],[])).
% 53.79/34.03 tff(10119,plain,
% 53.79/34.03 (((~nextState(constB41, constB42)) | v90(constB41, 0) | v100(constB42) | (~v90(constB42, 0))) <=> (v90(constB41, 0) | (~nextState(constB41, constB42)) | v100(constB42) | (~v90(constB42, 0)))),
% 53.79/34.03 inference(rewrite,[status(thm)],[])).
% 53.79/34.03 tff(10120,plain,
% 53.79/34.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB41, constB42)) | v90(constB41, 0) | v100(constB42) | (~v90(constB42, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB41, 0) | (~nextState(constB41, constB42)) | v100(constB42) | (~v90(constB42, 0))))),
% 53.79/34.03 inference(monotonicity,[status(thm)],[10119])).
% 53.79/34.03 tff(10121,plain,
% 53.79/34.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB41, constB42)) | v90(constB41, 0) | v100(constB42) | (~v90(constB42, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB41, 0) | (~nextState(constB41, constB42)) | v100(constB42) | (~v90(constB42, 0)))),
% 53.79/34.03 inference(transitivity,[status(thm)],[10120, 10118])).
% 53.79/34.03 tff(10122,plain,
% 53.79/34.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB41, constB42)) | v90(constB41, 0) | v100(constB42) | (~v90(constB42, 0)))),
% 53.79/34.03 inference(quant_inst,[status(thm)],[])).
% 53.79/34.03 tff(10123,plain,
% 53.79/34.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB41, 0) | (~nextState(constB41, constB42)) | v100(constB42) | (~v90(constB42, 0))),
% 53.79/34.03 inference(modus_ponens,[status(thm)],[10122, 10121])).
% 53.79/34.03 tff(10124,plain,
% 53.79/34.03 (v90(constB41, 0) | v100(constB42) | (~v90(constB42, 0))),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10123, 947, 8206])).
% 53.79/34.03 tff(10125,plain,
% 53.79/34.03 (v100(constB42)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10124, 10116, 9944])).
% 53.79/34.03 tff(10126,plain,
% 53.79/34.03 (v129(constB42, 1)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[9998, 10125])).
% 53.79/34.03 tff(10127,plain,
% 53.79/34.03 (v127(constB41, 1)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10003, 10126])).
% 53.79/34.03 tff(10128,plain,
% 53.79/34.03 (v130(constB41, 1)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10011, 10127])).
% 53.79/34.03 tff(10129,plain,
% 53.79/34.03 ($false),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10019, 2581, 10128, 10117])).
% 53.79/34.03 tff(10130,plain,((~v122(constB39)) | (~v90(constB42, 1)) | (~v90(constB42, 0))), inference(lemma,lemma(discharge,[]))).
% 53.79/34.03 tff(10131,plain,
% 53.79/34.03 (~v122(constB39)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10130, 9902, 9919])).
% 53.79/34.03 tff(10132,plain,
% 53.79/34.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB41, 2) | (~nextState(constB41, constB42)) | v100(constB42) | (~v90(constB42, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB41, 2) | (~nextState(constB41, constB42)) | v100(constB42) | (~v90(constB42, 2)))),
% 53.79/34.03 inference(rewrite,[status(thm)],[])).
% 53.79/34.03 tff(10133,plain,
% 53.79/34.03 (((~nextState(constB41, constB42)) | v90(constB41, 2) | v100(constB42) | (~v90(constB42, 2))) <=> (v90(constB41, 2) | (~nextState(constB41, constB42)) | v100(constB42) | (~v90(constB42, 2)))),
% 53.79/34.03 inference(rewrite,[status(thm)],[])).
% 53.79/34.03 tff(10134,plain,
% 53.79/34.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB41, constB42)) | v90(constB41, 2) | v100(constB42) | (~v90(constB42, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB41, 2) | (~nextState(constB41, constB42)) | v100(constB42) | (~v90(constB42, 2))))),
% 53.79/34.03 inference(monotonicity,[status(thm)],[10133])).
% 53.79/34.03 tff(10135,plain,
% 53.79/34.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB41, constB42)) | v90(constB41, 2) | v100(constB42) | (~v90(constB42, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB41, 2) | (~nextState(constB41, constB42)) | v100(constB42) | (~v90(constB42, 2)))),
% 53.79/34.03 inference(transitivity,[status(thm)],[10134, 10132])).
% 53.79/34.03 tff(10136,plain,
% 53.79/34.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB41, constB42)) | v90(constB41, 2) | v100(constB42) | (~v90(constB42, 2)))),
% 53.79/34.03 inference(quant_inst,[status(thm)],[])).
% 53.79/34.03 tff(10137,plain,
% 53.79/34.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB41, 2) | (~nextState(constB41, constB42)) | v100(constB42) | (~v90(constB42, 2))),
% 53.79/34.03 inference(modus_ponens,[status(thm)],[10136, 10135])).
% 53.79/34.03 tff(10138,plain,
% 53.79/34.03 (v90(constB41, 2) | v100(constB42) | (~v90(constB42, 2))),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10137, 905, 8206])).
% 53.79/34.03 tff(10139,plain,
% 53.79/34.03 (v90(constB41, 2)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10138, 10022, 9928])).
% 53.79/34.03 tff(10140,plain,
% 53.79/34.03 (v90(constB40, 2)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[8095, 10139])).
% 53.79/34.03 tff(10141,plain,
% 53.79/34.03 (v90(constB41, 0)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10124, 10022, 9919])).
% 53.79/34.03 tff(10142,plain,
% 53.79/34.03 (v90(constB40, 0)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[8156, 10141])).
% 53.79/34.03 tff(10143,assumption,(v100(constB40)), introduced(assumption)).
% 53.79/34.03 tff(10144,assumption,(v90(constB40, 0)), introduced(assumption)).
% 53.79/34.03 tff(10145,plain,
% 53.79/34.03 (v129(constB40, 0) | (~v100(constB40))),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[8146, 1704, 10144])).
% 53.79/34.03 tff(10146,plain,
% 53.79/34.03 (v129(constB40, 0)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10145, 10143])).
% 53.79/34.03 tff(10147,plain,
% 53.79/34.03 (v127(constB39, 0)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[8139, 10146])).
% 53.79/34.03 tff(10148,plain,
% 53.79/34.03 (v130(constB39, 0)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[8134, 10147])).
% 53.79/34.03 tff(10149,plain,
% 53.79/34.03 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB39)) | (~v130(constB39, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB39)) | (~v130(constB39, 0)))),
% 53.79/34.03 inference(rewrite,[status(thm)],[])).
% 53.79/34.03 tff(10150,plain,
% 53.79/34.03 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB39)) | (~v130(constB39, 0)))),
% 53.79/34.03 inference(quant_inst,[status(thm)],[])).
% 53.79/34.03 tff(10151,plain,
% 53.79/34.03 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB39)) | (~v130(constB39, 0))),
% 53.79/34.03 inference(modus_ponens,[status(thm)],[10150, 10149])).
% 53.79/34.03 tff(10152,plain,
% 53.79/34.03 (~v124(constB39)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10151, 3274, 10148])).
% 53.79/34.03 tff(10153,assumption,(v90(constB40, 2)), introduced(assumption)).
% 53.79/34.03 tff(10154,plain,
% 53.79/34.03 (v129(constB40, 2) | (~v100(constB40))),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[8067, 1223, 10153])).
% 53.79/34.03 tff(10155,plain,
% 53.79/34.03 (v129(constB40, 2)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10154, 10143])).
% 53.79/34.03 tff(10156,plain,
% 53.79/34.03 (v127(constB39, 2)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[8063, 10155])).
% 53.79/34.03 tff(10157,plain,
% 53.79/34.03 (v130(constB39, 2)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[8058, 10156])).
% 53.79/34.03 tff(10158,plain,
% 53.79/34.03 (~v120(constB39)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[8046, 1523, 10157])).
% 53.79/34.03 tff(10159,plain,
% 53.79/34.03 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB39)) | (~v130(constB39, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB39)) | (~v130(constB39, 2)))),
% 53.79/34.03 inference(rewrite,[status(thm)],[])).
% 53.79/34.03 tff(10160,plain,
% 53.79/34.03 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB39)) | (~v130(constB39, 2)))),
% 53.79/34.03 inference(quant_inst,[status(thm)],[])).
% 53.79/34.03 tff(10161,plain,
% 53.79/34.03 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB39)) | (~v130(constB39, 2))),
% 53.79/34.03 inference(modus_ponens,[status(thm)],[10160, 10159])).
% 53.79/34.03 tff(10162,plain,
% 53.79/34.03 (~v119(constB39)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10161, 1176, 10157])).
% 53.79/34.03 tff(10163,assumption,(v90(constB40, 1)), introduced(assumption)).
% 53.79/34.03 tff(10164,plain,
% 53.79/34.03 (v129(constB40, 1) | (~v100(constB40))),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10104, 1309, 10163])).
% 53.79/34.03 tff(10165,plain,
% 53.79/34.03 (v129(constB40, 1)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10164, 10143])).
% 53.79/34.03 tff(10166,plain,
% 53.79/34.03 (v127(constB39, 1)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10097, 10165])).
% 53.79/34.03 tff(10167,plain,
% 53.79/34.03 (v130(constB39, 1)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10092, 10166])).
% 53.79/34.03 tff(10168,plain,
% 53.79/34.03 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB39)) | (~v130(constB39, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB39)) | (~v130(constB39, 2)))),
% 53.79/34.03 inference(rewrite,[status(thm)],[])).
% 53.79/34.03 tff(10169,plain,
% 53.79/34.03 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB39)) | (~v130(constB39, 2)))),
% 53.79/34.03 inference(quant_inst,[status(thm)],[])).
% 53.79/34.03 tff(10170,plain,
% 53.79/34.03 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB39)) | (~v130(constB39, 2))),
% 53.79/34.03 inference(modus_ponens,[status(thm)],[10169, 10168])).
% 53.79/34.03 tff(10171,plain,
% 53.79/34.03 (~v121(constB39)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10170, 1821, 10157])).
% 53.79/34.03 tff(10172,plain,
% 53.79/34.03 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB39)) | (~v130(constB39, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB39)) | (~v130(constB39, 1)))),
% 53.79/34.03 inference(rewrite,[status(thm)],[])).
% 53.79/34.03 tff(10173,plain,
% 53.79/34.03 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB39)) | (~v130(constB39, 1)))),
% 53.79/34.03 inference(quant_inst,[status(thm)],[])).
% 53.79/34.03 tff(10174,plain,
% 53.79/34.03 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB39)) | (~v130(constB39, 1))),
% 53.79/34.03 inference(modus_ponens,[status(thm)],[10173, 10172])).
% 53.79/34.03 tff(10175,plain,
% 53.79/34.03 (~v123(constB39)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10174, 2581, 10167])).
% 53.79/34.03 tff(10176,plain,
% 53.79/34.03 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB39) | v120(constB39) | v121(constB39) | v122(constB39) | v123(constB39) | v124(constB39) | (~v130(constB39, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB39) | v120(constB39) | v121(constB39) | v122(constB39) | v123(constB39) | v124(constB39) | (~v130(constB39, 1)))),
% 53.79/34.03 inference(rewrite,[status(thm)],[])).
% 53.79/34.03 tff(10177,plain,
% 53.79/34.03 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB39) | v120(constB39) | v121(constB39) | v122(constB39) | v123(constB39) | v124(constB39) | (~v130(constB39, 1)))),
% 53.79/34.03 inference(quant_inst,[status(thm)],[])).
% 53.79/34.03 tff(10178,plain,
% 53.79/34.03 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB39) | v120(constB39) | v121(constB39) | v122(constB39) | v123(constB39) | v124(constB39) | (~v130(constB39, 1))),
% 53.79/34.03 inference(modus_ponens,[status(thm)],[10177, 10176])).
% 53.79/34.03 tff(10179,plain,
% 53.79/34.03 (v119(constB39) | v120(constB39) | v121(constB39) | v123(constB39) | v124(constB39) | (~v130(constB39, 1))),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10178, 3309, 7972])).
% 53.79/34.03 tff(10180,plain,
% 53.79/34.03 ($false),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10179, 10175, 10171, 10167, 10162, 10158, 10152])).
% 53.79/34.03 tff(10181,plain,((~v100(constB40)) | v122(constB39) | (~v90(constB40, 1)) | (~v90(constB40, 0)) | (~v90(constB40, 2))), inference(lemma,lemma(discharge,[]))).
% 53.79/34.03 tff(10182,plain,
% 53.79/34.03 (~v100(constB40)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10181, 10039, 10142, 10140, 10131])).
% 53.79/34.03 tff(10183,plain,
% 53.79/34.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB39, 1) | (~nextState(constB39, constB40)) | v100(constB40) | (~v90(constB40, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB39, 1) | (~nextState(constB39, constB40)) | v100(constB40) | (~v90(constB40, 1)))),
% 53.79/34.03 inference(rewrite,[status(thm)],[])).
% 53.79/34.03 tff(10184,plain,
% 53.79/34.03 (((~nextState(constB39, constB40)) | v90(constB39, 1) | v100(constB40) | (~v90(constB40, 1))) <=> (v90(constB39, 1) | (~nextState(constB39, constB40)) | v100(constB40) | (~v90(constB40, 1)))),
% 53.79/34.03 inference(rewrite,[status(thm)],[])).
% 53.79/34.03 tff(10185,plain,
% 53.79/34.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB39, constB40)) | v90(constB39, 1) | v100(constB40) | (~v90(constB40, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB39, 1) | (~nextState(constB39, constB40)) | v100(constB40) | (~v90(constB40, 1))))),
% 53.79/34.03 inference(monotonicity,[status(thm)],[10184])).
% 53.79/34.03 tff(10186,plain,
% 53.79/34.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB39, constB40)) | v90(constB39, 1) | v100(constB40) | (~v90(constB40, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB39, 1) | (~nextState(constB39, constB40)) | v100(constB40) | (~v90(constB40, 1)))),
% 53.79/34.03 inference(transitivity,[status(thm)],[10185, 10183])).
% 53.79/34.03 tff(10187,plain,
% 53.79/34.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB39, constB40)) | v90(constB39, 1) | v100(constB40) | (~v90(constB40, 1)))),
% 53.79/34.03 inference(quant_inst,[status(thm)],[])).
% 53.79/34.03 tff(10188,plain,
% 53.79/34.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB39, 1) | (~nextState(constB39, constB40)) | v100(constB40) | (~v90(constB40, 1))),
% 53.79/34.03 inference(modus_ponens,[status(thm)],[10187, 10186])).
% 53.79/34.03 tff(10189,plain,
% 53.79/34.03 (v90(constB39, 1) | v100(constB40) | (~v90(constB40, 1))),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10188, 926, 8012])).
% 53.79/34.03 tff(10190,plain,
% 53.79/34.03 (v90(constB39, 1)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[10189, 10182, 10039])).
% 53.79/34.03 tff(10191,plain,
% 53.79/34.03 (v90(constB38, 1)),
% 53.79/34.03 inference(unit_resolution,[status(thm)],[7836, 10190])).
% 53.79/34.03 tff(10192,plain,
% 53.79/34.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB39, 2) | (~nextState(constB39, constB40)) | v100(constB40) | (~v90(constB40, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB39, 2) | (~nextState(constB39, constB40)) | v100(constB40) | (~v90(constB40, 2)))),
% 53.79/34.04 inference(rewrite,[status(thm)],[])).
% 53.79/34.04 tff(10193,plain,
% 53.79/34.04 (((~nextState(constB39, constB40)) | v90(constB39, 2) | v100(constB40) | (~v90(constB40, 2))) <=> (v90(constB39, 2) | (~nextState(constB39, constB40)) | v100(constB40) | (~v90(constB40, 2)))),
% 53.79/34.04 inference(rewrite,[status(thm)],[])).
% 53.79/34.04 tff(10194,plain,
% 53.79/34.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB39, constB40)) | v90(constB39, 2) | v100(constB40) | (~v90(constB40, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB39, 2) | (~nextState(constB39, constB40)) | v100(constB40) | (~v90(constB40, 2))))),
% 53.79/34.04 inference(monotonicity,[status(thm)],[10193])).
% 53.79/34.04 tff(10195,plain,
% 53.79/34.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB39, constB40)) | v90(constB39, 2) | v100(constB40) | (~v90(constB40, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB39, 2) | (~nextState(constB39, constB40)) | v100(constB40) | (~v90(constB40, 2)))),
% 53.79/34.04 inference(transitivity,[status(thm)],[10194, 10192])).
% 53.79/34.04 tff(10196,plain,
% 53.79/34.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB39, constB40)) | v90(constB39, 2) | v100(constB40) | (~v90(constB40, 2)))),
% 53.79/34.04 inference(quant_inst,[status(thm)],[])).
% 53.79/34.04 tff(10197,plain,
% 53.79/34.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB39, 2) | (~nextState(constB39, constB40)) | v100(constB40) | (~v90(constB40, 2))),
% 53.79/34.04 inference(modus_ponens,[status(thm)],[10196, 10195])).
% 53.79/34.04 tff(10198,plain,
% 53.79/34.04 (v90(constB39, 2) | v100(constB40) | (~v90(constB40, 2))),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[10197, 905, 8012])).
% 53.79/34.04 tff(10199,plain,
% 53.79/34.04 (v90(constB39, 2)),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[10198, 10182, 10140])).
% 53.79/34.04 tff(10200,plain,
% 53.79/34.04 (v90(constB38, 2)),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[7906, 10199])).
% 53.79/34.04 tff(10201,assumption,(v124(constB37)), introduced(assumption)).
% 53.79/34.04 tff(10202,plain,
% 53.79/34.04 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB37)) | v114(constB37))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB37)) | v114(constB37))),
% 53.79/34.04 inference(rewrite,[status(thm)],[])).
% 53.79/34.04 tff(10203,plain,
% 53.79/34.04 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB37)) | v114(constB37))),
% 53.79/34.04 inference(quant_inst,[status(thm)],[])).
% 53.79/34.04 tff(10204,plain,
% 53.79/34.04 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB37)) | v114(constB37)),
% 53.79/34.04 inference(modus_ponens,[status(thm)],[10203, 10202])).
% 53.79/34.04 tff(10205,plain,
% 53.79/34.04 (v114(constB37)),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[10204, 2674, 10201])).
% 53.79/34.04 tff(10206,plain,
% 53.79/34.04 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB37)) | v113(constB37))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB37)) | v113(constB37))),
% 53.79/34.04 inference(rewrite,[status(thm)],[])).
% 53.79/34.04 tff(10207,plain,
% 53.79/34.04 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB37)) | v113(constB37))),
% 53.79/34.04 inference(quant_inst,[status(thm)],[])).
% 53.79/34.04 tff(10208,plain,
% 53.79/34.04 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB37)) | v113(constB37)),
% 53.79/34.04 inference(modus_ponens,[status(thm)],[10207, 10206])).
% 53.79/34.04 tff(10209,plain,
% 53.79/34.04 (v113(constB37)),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[10208, 1049, 10205])).
% 53.79/34.04 tff(10210,plain,
% 53.79/34.04 (v112(constB37)),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[7716, 10209])).
% 53.79/34.04 tff(10211,plain,
% 53.79/34.04 (v108(constB37)),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[7723, 1075, 10210])).
% 53.79/34.04 tff(10212,plain,
% 53.79/34.04 (v110(constB38)),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[7734, 10211])).
% 53.79/34.04 tff(10213,plain,
% 53.79/34.04 (v100(constB38)),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[7760, 10212])).
% 53.79/34.04 tff(10214,plain,
% 53.79/34.04 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB37)) | v130(constB37, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB37)) | v130(constB37, 1))),
% 53.79/34.04 inference(rewrite,[status(thm)],[])).
% 53.79/34.04 tff(10215,plain,
% 53.79/34.04 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB37)) | v130(constB37, 1))),
% 53.79/34.04 inference(quant_inst,[status(thm)],[])).
% 53.79/34.04 tff(10216,plain,
% 53.79/34.04 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB37)) | v130(constB37, 1)),
% 53.79/34.04 inference(modus_ponens,[status(thm)],[10215, 10214])).
% 53.79/34.04 tff(10217,plain,
% 53.79/34.04 (v130(constB37, 1)),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[10216, 2808, 10201])).
% 53.79/34.04 tff(10218,plain,
% 53.79/34.04 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB37) | (~v130(constB37, 1)) | v127(constB37, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB37) | (~v130(constB37, 1)) | v127(constB37, 1))),
% 53.79/34.04 inference(rewrite,[status(thm)],[])).
% 53.79/34.04 tff(10219,plain,
% 53.79/34.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB37) | (~v130(constB37, 1)) | v127(constB37, 1))),
% 53.79/34.04 inference(quant_inst,[status(thm)],[])).
% 53.79/34.04 tff(10220,plain,
% 53.79/34.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB37) | (~v130(constB37, 1)) | v127(constB37, 1)),
% 53.79/34.04 inference(modus_ponens,[status(thm)],[10219, 10218])).
% 53.79/34.04 tff(10221,plain,
% 53.79/34.04 ((~v130(constB37, 1)) | v127(constB37, 1)),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[10220, 1593, 7709])).
% 53.79/34.04 tff(10222,plain,
% 53.79/34.04 (v127(constB37, 1)),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[10221, 10217])).
% 53.79/34.04 tff(10223,plain,
% 53.79/34.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB37, constB38)) | (~v127(constB37, 1)) | v129(constB38, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB37, constB38)) | (~v127(constB37, 1)) | v129(constB38, 1))),
% 53.79/34.04 inference(rewrite,[status(thm)],[])).
% 53.79/34.04 tff(10224,plain,
% 53.79/34.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB37, constB38)) | (~v127(constB37, 1)) | v129(constB38, 1))),
% 53.79/34.04 inference(quant_inst,[status(thm)],[])).
% 53.79/34.04 tff(10225,plain,
% 53.79/34.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB37, constB38)) | (~v127(constB37, 1)) | v129(constB38, 1)),
% 53.79/34.04 inference(modus_ponens,[status(thm)],[10224, 10223])).
% 53.79/34.04 tff(10226,plain,
% 53.79/34.04 ((~v127(constB37, 1)) | v129(constB38, 1)),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[10225, 1608, 7727])).
% 53.79/34.04 tff(10227,plain,
% 53.79/34.04 (v129(constB38, 1)),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[10226, 10222])).
% 53.79/34.04 tff(10228,plain,
% 53.79/34.04 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB38, 1) | (~v129(constB38, 1)) | (~v100(constB38)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB38, 1) | (~v129(constB38, 1)) | (~v100(constB38)))),
% 53.79/34.04 inference(rewrite,[status(thm)],[])).
% 53.79/34.04 tff(10229,plain,
% 53.79/34.04 ((v90(constB38, 1) | (~v100(constB38)) | (~v129(constB38, 1))) <=> (v90(constB38, 1) | (~v129(constB38, 1)) | (~v100(constB38)))),
% 53.79/34.04 inference(rewrite,[status(thm)],[])).
% 53.79/34.04 tff(10230,plain,
% 53.79/34.04 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB38, 1) | (~v100(constB38)) | (~v129(constB38, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB38, 1) | (~v129(constB38, 1)) | (~v100(constB38))))),
% 53.79/34.04 inference(monotonicity,[status(thm)],[10229])).
% 53.79/34.04 tff(10231,plain,
% 53.79/34.04 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB38, 1) | (~v100(constB38)) | (~v129(constB38, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB38, 1) | (~v129(constB38, 1)) | (~v100(constB38)))),
% 53.79/34.04 inference(transitivity,[status(thm)],[10230, 10228])).
% 53.79/34.04 tff(10232,plain,
% 53.79/34.04 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB38, 1) | (~v100(constB38)) | (~v129(constB38, 1)))),
% 53.79/34.04 inference(quant_inst,[status(thm)],[])).
% 53.79/34.04 tff(10233,plain,
% 53.79/34.04 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB38, 1) | (~v129(constB38, 1)) | (~v100(constB38))),
% 53.79/34.04 inference(modus_ponens,[status(thm)],[10232, 10231])).
% 53.79/34.04 tff(10234,plain,
% 53.79/34.04 (v90(constB38, 1) | (~v100(constB38))),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[10233, 1623, 10227])).
% 53.79/34.04 tff(10235,plain,
% 53.79/34.04 (v90(constB38, 1)),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[10234, 10213])).
% 53.79/34.04 tff(10236,plain,
% 53.79/34.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB38, 1)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB38, 1)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, 1))),
% 53.79/34.04 inference(rewrite,[status(thm)],[])).
% 53.79/34.04 tff(10237,plain,
% 53.79/34.04 (((~nextState(constB38, constB39)) | (~v90(constB38, 1)) | v100(constB39) | v90(constB39, 1)) <=> ((~v90(constB38, 1)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, 1))),
% 53.79/34.04 inference(rewrite,[status(thm)],[])).
% 53.79/34.04 tff(10238,plain,
% 53.79/34.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB38, constB39)) | (~v90(constB38, 1)) | v100(constB39) | v90(constB39, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB38, 1)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, 1)))),
% 53.79/34.04 inference(monotonicity,[status(thm)],[10237])).
% 53.79/34.04 tff(10239,plain,
% 53.79/34.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB38, constB39)) | (~v90(constB38, 1)) | v100(constB39) | v90(constB39, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB38, 1)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, 1))),
% 53.79/34.04 inference(transitivity,[status(thm)],[10238, 10236])).
% 53.79/34.04 tff(10240,plain,
% 53.79/34.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB38, constB39)) | (~v90(constB38, 1)) | v100(constB39) | v90(constB39, 1))),
% 53.79/34.04 inference(quant_inst,[status(thm)],[])).
% 53.79/34.04 tff(10241,plain,
% 53.79/34.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB38, 1)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, 1)),
% 53.79/34.04 inference(modus_ponens,[status(thm)],[10240, 10239])).
% 53.79/34.04 tff(10242,plain,
% 53.79/34.04 ((~v90(constB38, 1)) | v100(constB39) | v90(constB39, 1)),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[10241, 1641, 7816])).
% 53.79/34.04 tff(10243,plain,
% 53.79/34.04 ((~v90(constB38, 1)) | v90(constB39, 1)),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[10242, 7828])).
% 53.79/34.04 tff(10244,plain,
% 53.79/34.04 (v90(constB39, 1)),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[10243, 10235])).
% 53.79/34.04 tff(10245,plain,
% 53.79/34.04 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB39)) | (~v90(constB39, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB39)) | (~v90(constB39, 1)))),
% 53.79/34.04 inference(rewrite,[status(thm)],[])).
% 53.79/34.04 tff(10246,plain,
% 53.79/34.04 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB39)) | (~v90(constB39, 1)))),
% 53.79/34.04 inference(quant_inst,[status(thm)],[])).
% 53.79/34.04 tff(10247,plain,
% 53.79/34.04 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB39)) | (~v90(constB39, 1))),
% 53.79/34.04 inference(modus_ponens,[status(thm)],[10246, 10245])).
% 53.79/34.04 tff(10248,plain,
% 53.79/34.04 (~v119(constB39)),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[10247, 2868, 10244])).
% 53.79/34.04 tff(10249,plain,
% 53.79/34.04 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB39)) | (~v90(constB39, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB39)) | (~v90(constB39, 1)))),
% 53.79/34.04 inference(rewrite,[status(thm)],[])).
% 53.79/34.04 tff(10250,plain,
% 53.79/34.04 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB39)) | (~v90(constB39, 1)))),
% 53.79/34.04 inference(quant_inst,[status(thm)],[])).
% 53.79/34.04 tff(10251,plain,
% 53.79/34.04 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB39)) | (~v90(constB39, 1))),
% 53.79/34.04 inference(modus_ponens,[status(thm)],[10250, 10249])).
% 53.79/34.04 tff(10252,plain,
% 53.79/34.04 (~v120(constB39)),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[10251, 2846, 10244])).
% 53.79/34.04 tff(10253,plain,
% 53.79/34.04 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB39)) | (~v90(constB39, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB39)) | (~v90(constB39, 1)))),
% 53.79/34.04 inference(rewrite,[status(thm)],[])).
% 53.79/34.04 tff(10254,plain,
% 53.79/34.04 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB39)) | (~v90(constB39, 1)))),
% 53.79/34.04 inference(quant_inst,[status(thm)],[])).
% 53.79/34.04 tff(10255,plain,
% 53.79/34.04 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB39)) | (~v90(constB39, 1))),
% 53.79/34.04 inference(modus_ponens,[status(thm)],[10254, 10253])).
% 53.79/34.04 tff(10256,plain,
% 53.79/34.04 (~v124(constB39)),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[10255, 2890, 10244])).
% 53.79/34.04 tff(10257,plain,
% 53.79/34.04 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB37)) | (~v130(constB37, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB37)) | (~v130(constB37, 0)))),
% 53.79/34.04 inference(rewrite,[status(thm)],[])).
% 53.79/34.04 tff(10258,plain,
% 53.79/34.04 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB37)) | (~v130(constB37, 0)))),
% 53.79/34.04 inference(quant_inst,[status(thm)],[])).
% 53.79/34.04 tff(10259,plain,
% 53.79/34.04 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB37)) | (~v130(constB37, 0))),
% 53.79/34.04 inference(modus_ponens,[status(thm)],[10258, 10257])).
% 53.79/34.04 tff(10260,plain,
% 53.79/34.04 (~v130(constB37, 0)),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[10259, 3274, 10201])).
% 53.79/34.04 tff(10261,plain,
% 53.79/34.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB37, 0)) | v26(constB37) | v130(constB37, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB37, 0)) | v26(constB37) | v130(constB37, 0))),
% 53.79/34.04 inference(rewrite,[status(thm)],[])).
% 53.79/34.04 tff(10262,plain,
% 53.79/34.04 ((v26(constB37) | v130(constB37, 0) | (~v127(constB37, 0))) <=> ((~v127(constB37, 0)) | v26(constB37) | v130(constB37, 0))),
% 53.79/34.04 inference(rewrite,[status(thm)],[])).
% 53.79/34.04 tff(10263,plain,
% 53.79/34.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB37) | v130(constB37, 0) | (~v127(constB37, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB37, 0)) | v26(constB37) | v130(constB37, 0)))),
% 53.79/34.04 inference(monotonicity,[status(thm)],[10262])).
% 53.79/34.04 tff(10264,plain,
% 53.79/34.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB37) | v130(constB37, 0) | (~v127(constB37, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB37, 0)) | v26(constB37) | v130(constB37, 0))),
% 53.79/34.04 inference(transitivity,[status(thm)],[10263, 10261])).
% 53.79/34.04 tff(10265,plain,
% 53.79/34.04 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB37) | v130(constB37, 0) | (~v127(constB37, 0)))),
% 53.79/34.04 inference(quant_inst,[status(thm)],[])).
% 53.79/34.04 tff(10266,plain,
% 53.79/34.04 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB37, 0)) | v26(constB37) | v130(constB37, 0)),
% 53.79/34.04 inference(modus_ponens,[status(thm)],[10265, 10264])).
% 53.79/34.04 tff(10267,plain,
% 53.79/34.04 ((~v127(constB37, 0)) | v130(constB37, 0)),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[10266, 1671, 7709])).
% 53.79/34.04 tff(10268,plain,
% 53.79/34.04 (~v127(constB37, 0)),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[10267, 10260])).
% 53.79/34.04 tff(10269,plain,
% 53.79/34.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB37, constB38)) | v127(constB37, 0) | (~v129(constB38, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB37, constB38)) | v127(constB37, 0) | (~v129(constB38, 0)))),
% 53.79/34.04 inference(rewrite,[status(thm)],[])).
% 53.79/34.04 tff(10270,plain,
% 53.79/34.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB37, constB38)) | v127(constB37, 0) | (~v129(constB38, 0)))),
% 53.79/34.04 inference(quant_inst,[status(thm)],[])).
% 53.79/34.04 tff(10271,plain,
% 53.79/34.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB37, constB38)) | v127(constB37, 0) | (~v129(constB38, 0))),
% 53.79/34.04 inference(modus_ponens,[status(thm)],[10270, 10269])).
% 53.79/34.04 tff(10272,plain,
% 53.79/34.04 (v127(constB37, 0) | (~v129(constB38, 0))),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[10271, 1689, 7727])).
% 53.79/34.04 tff(10273,plain,
% 53.79/34.04 (~v129(constB38, 0)),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[10272, 10268])).
% 53.79/34.04 tff(10274,plain,
% 53.79/34.04 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB38, 0)) | v129(constB38, 0) | (~v100(constB38)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB38, 0)) | v129(constB38, 0) | (~v100(constB38)))),
% 53.79/34.04 inference(rewrite,[status(thm)],[])).
% 53.79/34.04 tff(10275,plain,
% 53.79/34.04 (((~v90(constB38, 0)) | (~v100(constB38)) | v129(constB38, 0)) <=> ((~v90(constB38, 0)) | v129(constB38, 0) | (~v100(constB38)))),
% 53.79/34.04 inference(rewrite,[status(thm)],[])).
% 53.79/34.04 tff(10276,plain,
% 53.79/34.04 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB38, 0)) | (~v100(constB38)) | v129(constB38, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB38, 0)) | v129(constB38, 0) | (~v100(constB38))))),
% 53.79/34.04 inference(monotonicity,[status(thm)],[10275])).
% 53.79/34.04 tff(10277,plain,
% 53.79/34.04 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB38, 0)) | (~v100(constB38)) | v129(constB38, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB38, 0)) | v129(constB38, 0) | (~v100(constB38)))),
% 53.79/34.04 inference(transitivity,[status(thm)],[10276, 10274])).
% 53.79/34.04 tff(10278,plain,
% 53.79/34.04 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB38, 0)) | (~v100(constB38)) | v129(constB38, 0))),
% 53.79/34.04 inference(quant_inst,[status(thm)],[])).
% 53.79/34.04 tff(10279,plain,
% 53.79/34.04 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB38, 0)) | v129(constB38, 0) | (~v100(constB38))),
% 53.79/34.04 inference(modus_ponens,[status(thm)],[10278, 10277])).
% 53.79/34.04 tff(10280,plain,
% 53.79/34.04 ((~v90(constB38, 0)) | (~v100(constB38))),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[10279, 1704, 10273])).
% 53.79/34.04 tff(10281,plain,
% 53.79/34.04 (~v90(constB38, 0)),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[10280, 10213])).
% 53.79/34.04 tff(10282,plain,
% 53.79/34.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB38, 0) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB38, 0) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, 0)))),
% 53.79/34.04 inference(rewrite,[status(thm)],[])).
% 53.79/34.04 tff(10283,plain,
% 53.79/34.04 (((~nextState(constB38, constB39)) | v90(constB38, 0) | v100(constB39) | (~v90(constB39, 0))) <=> (v90(constB38, 0) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, 0)))),
% 53.79/34.04 inference(rewrite,[status(thm)],[])).
% 53.79/34.04 tff(10284,plain,
% 53.79/34.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB38, constB39)) | v90(constB38, 0) | v100(constB39) | (~v90(constB39, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB38, 0) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, 0))))),
% 53.79/34.04 inference(monotonicity,[status(thm)],[10283])).
% 53.79/34.04 tff(10285,plain,
% 53.79/34.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB38, constB39)) | v90(constB38, 0) | v100(constB39) | (~v90(constB39, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB38, 0) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, 0)))),
% 53.79/34.04 inference(transitivity,[status(thm)],[10284, 10282])).
% 53.79/34.04 tff(10286,plain,
% 53.79/34.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB38, constB39)) | v90(constB38, 0) | v100(constB39) | (~v90(constB39, 0)))),
% 53.79/34.04 inference(quant_inst,[status(thm)],[])).
% 53.79/34.04 tff(10287,plain,
% 53.79/34.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB38, 0) | (~nextState(constB38, constB39)) | v100(constB39) | (~v90(constB39, 0))),
% 53.79/34.04 inference(modus_ponens,[status(thm)],[10286, 10285])).
% 53.79/34.04 tff(10288,plain,
% 53.79/34.04 (v90(constB38, 0) | v100(constB39) | (~v90(constB39, 0))),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[10287, 947, 7816])).
% 53.79/34.04 tff(10289,plain,
% 53.79/34.04 (v90(constB38, 0) | (~v90(constB39, 0))),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[10288, 7828])).
% 53.79/34.04 tff(10290,plain,
% 53.79/34.04 (~v90(constB39, 0)),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[10289, 10281])).
% 53.79/34.04 tff(10291,plain,
% 53.79/34.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB39, 0) | (~nextState(constB39, constB40)) | v100(constB40) | (~v90(constB40, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB39, 0) | (~nextState(constB39, constB40)) | v100(constB40) | (~v90(constB40, 0)))),
% 53.79/34.04 inference(rewrite,[status(thm)],[])).
% 53.79/34.04 tff(10292,plain,
% 53.79/34.04 (((~nextState(constB39, constB40)) | v90(constB39, 0) | v100(constB40) | (~v90(constB40, 0))) <=> (v90(constB39, 0) | (~nextState(constB39, constB40)) | v100(constB40) | (~v90(constB40, 0)))),
% 53.79/34.04 inference(rewrite,[status(thm)],[])).
% 53.79/34.04 tff(10293,plain,
% 53.79/34.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB39, constB40)) | v90(constB39, 0) | v100(constB40) | (~v90(constB40, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB39, 0) | (~nextState(constB39, constB40)) | v100(constB40) | (~v90(constB40, 0))))),
% 53.79/34.04 inference(monotonicity,[status(thm)],[10292])).
% 53.79/34.04 tff(10294,plain,
% 53.79/34.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB39, constB40)) | v90(constB39, 0) | v100(constB40) | (~v90(constB40, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB39, 0) | (~nextState(constB39, constB40)) | v100(constB40) | (~v90(constB40, 0)))),
% 53.79/34.04 inference(transitivity,[status(thm)],[10293, 10291])).
% 53.79/34.04 tff(10295,plain,
% 53.79/34.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB39, constB40)) | v90(constB39, 0) | v100(constB40) | (~v90(constB40, 0)))),
% 53.79/34.04 inference(quant_inst,[status(thm)],[])).
% 53.79/34.04 tff(10296,plain,
% 53.79/34.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB39, 0) | (~nextState(constB39, constB40)) | v100(constB40) | (~v90(constB40, 0))),
% 53.79/34.04 inference(modus_ponens,[status(thm)],[10295, 10294])).
% 53.79/34.04 tff(10297,plain,
% 53.79/34.04 (v90(constB39, 0) | v100(constB40) | (~v90(constB40, 0))),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[10296, 947, 8012])).
% 53.79/34.04 tff(10298,plain,
% 53.79/34.04 (v100(constB40)),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[10297, 10290, 10144])).
% 53.79/34.04 tff(10299,plain,
% 53.79/34.04 (v129(constB40, 2)),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[10154, 10298])).
% 53.79/34.04 tff(10300,plain,
% 53.79/34.04 (v127(constB39, 2)),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[8063, 10299])).
% 53.79/34.04 tff(10301,plain,
% 53.79/34.04 (v130(constB39, 2)),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[8058, 10300])).
% 53.79/34.04 tff(10302,plain,
% 53.79/34.04 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB39)) | (~v90(constB39, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB39)) | (~v90(constB39, 1)))),
% 53.79/34.04 inference(rewrite,[status(thm)],[])).
% 53.79/34.04 tff(10303,plain,
% 53.79/34.04 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB39)) | (~v90(constB39, 1)))),
% 53.79/34.04 inference(quant_inst,[status(thm)],[])).
% 53.79/34.04 tff(10304,plain,
% 53.79/34.04 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB39)) | (~v90(constB39, 1))),
% 53.79/34.04 inference(modus_ponens,[status(thm)],[10303, 10302])).
% 53.79/34.04 tff(10305,plain,
% 53.79/34.04 (~v123(constB39)),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[10304, 2879, 10244])).
% 53.79/34.04 tff(10306,plain,
% 53.79/34.04 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB37)) | v130(constB37, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB37)) | v130(constB37, 2))),
% 53.79/34.04 inference(rewrite,[status(thm)],[])).
% 53.79/34.04 tff(10307,plain,
% 53.79/34.04 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB37)) | v130(constB37, 2))),
% 53.79/34.04 inference(quant_inst,[status(thm)],[])).
% 53.79/34.04 tff(10308,plain,
% 53.79/34.04 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB37)) | v130(constB37, 2)),
% 53.79/34.04 inference(modus_ponens,[status(thm)],[10307, 10306])).
% 53.79/34.04 tff(10309,plain,
% 53.79/34.04 (v130(constB37, 2)),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[10308, 2741, 10201])).
% 53.79/34.04 tff(10310,plain,
% 53.79/34.04 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB37) | (~v130(constB37, 2)) | v127(constB37, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB37) | (~v130(constB37, 2)) | v127(constB37, 2))),
% 53.79/34.04 inference(rewrite,[status(thm)],[])).
% 53.79/34.04 tff(10311,plain,
% 53.79/34.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB37) | (~v130(constB37, 2)) | v127(constB37, 2))),
% 53.79/34.04 inference(quant_inst,[status(thm)],[])).
% 53.79/34.04 tff(10312,plain,
% 53.79/34.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB37) | (~v130(constB37, 2)) | v127(constB37, 2)),
% 53.79/34.04 inference(modus_ponens,[status(thm)],[10311, 10310])).
% 53.79/34.04 tff(10313,plain,
% 53.79/34.04 ((~v130(constB37, 2)) | v127(constB37, 2)),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[10312, 1981, 7709])).
% 53.79/34.04 tff(10314,plain,
% 53.79/34.04 (v127(constB37, 2)),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[10313, 10309])).
% 53.79/34.04 tff(10315,plain,
% 53.79/34.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB37, constB38)) | (~v127(constB37, 2)) | v129(constB38, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB37, constB38)) | (~v127(constB37, 2)) | v129(constB38, 2))),
% 53.79/34.04 inference(rewrite,[status(thm)],[])).
% 53.79/34.04 tff(10316,plain,
% 53.79/34.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB37, constB38)) | (~v127(constB37, 2)) | v129(constB38, 2))),
% 53.79/34.04 inference(quant_inst,[status(thm)],[])).
% 53.79/34.04 tff(10317,plain,
% 53.79/34.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB37, constB38)) | (~v127(constB37, 2)) | v129(constB38, 2)),
% 53.79/34.04 inference(modus_ponens,[status(thm)],[10316, 10315])).
% 53.79/34.04 tff(10318,plain,
% 53.79/34.04 ((~v127(constB37, 2)) | v129(constB38, 2)),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[10317, 1999, 7727])).
% 53.79/34.04 tff(10319,plain,
% 53.79/34.04 (v129(constB38, 2)),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[10318, 10314])).
% 53.79/34.04 tff(10320,plain,
% 53.79/34.04 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB38, 2) | (~v129(constB38, 2)) | (~v100(constB38)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB38, 2) | (~v129(constB38, 2)) | (~v100(constB38)))),
% 53.79/34.04 inference(rewrite,[status(thm)],[])).
% 53.79/34.04 tff(10321,plain,
% 53.79/34.04 ((v90(constB38, 2) | (~v100(constB38)) | (~v129(constB38, 2))) <=> (v90(constB38, 2) | (~v129(constB38, 2)) | (~v100(constB38)))),
% 53.79/34.04 inference(rewrite,[status(thm)],[])).
% 53.79/34.04 tff(10322,plain,
% 53.79/34.04 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB38, 2) | (~v100(constB38)) | (~v129(constB38, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB38, 2) | (~v129(constB38, 2)) | (~v100(constB38))))),
% 53.79/34.04 inference(monotonicity,[status(thm)],[10321])).
% 53.79/34.04 tff(10323,plain,
% 53.79/34.04 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB38, 2) | (~v100(constB38)) | (~v129(constB38, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB38, 2) | (~v129(constB38, 2)) | (~v100(constB38)))),
% 53.79/34.04 inference(transitivity,[status(thm)],[10322, 10320])).
% 53.79/34.04 tff(10324,plain,
% 53.79/34.04 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB38, 2) | (~v100(constB38)) | (~v129(constB38, 2)))),
% 53.79/34.04 inference(quant_inst,[status(thm)],[])).
% 53.79/34.04 tff(10325,plain,
% 53.79/34.04 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB38, 2) | (~v129(constB38, 2)) | (~v100(constB38))),
% 53.79/34.04 inference(modus_ponens,[status(thm)],[10324, 10323])).
% 53.79/34.04 tff(10326,plain,
% 53.79/34.04 (v90(constB38, 2) | (~v100(constB38))),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[10325, 2324, 10319])).
% 53.79/34.04 tff(10327,plain,
% 53.79/34.04 (v90(constB38, 2)),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[10326, 10213])).
% 53.79/34.04 tff(10328,plain,
% 53.79/34.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB38, 2)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB38, 2)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, 2))),
% 53.79/34.04 inference(rewrite,[status(thm)],[])).
% 53.79/34.04 tff(10329,plain,
% 53.79/34.04 (((~nextState(constB38, constB39)) | (~v90(constB38, 2)) | v100(constB39) | v90(constB39, 2)) <=> ((~v90(constB38, 2)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, 2))),
% 53.79/34.04 inference(rewrite,[status(thm)],[])).
% 53.79/34.04 tff(10330,plain,
% 53.79/34.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB38, constB39)) | (~v90(constB38, 2)) | v100(constB39) | v90(constB39, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB38, 2)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, 2)))),
% 53.79/34.04 inference(monotonicity,[status(thm)],[10329])).
% 53.79/34.04 tff(10331,plain,
% 53.79/34.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB38, constB39)) | (~v90(constB38, 2)) | v100(constB39) | v90(constB39, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB38, 2)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, 2))),
% 53.79/34.04 inference(transitivity,[status(thm)],[10330, 10328])).
% 53.79/34.04 tff(10332,plain,
% 53.79/34.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB38, constB39)) | (~v90(constB38, 2)) | v100(constB39) | v90(constB39, 2))),
% 53.79/34.04 inference(quant_inst,[status(thm)],[])).
% 53.79/34.04 tff(10333,plain,
% 53.79/34.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB38, 2)) | (~nextState(constB38, constB39)) | v100(constB39) | v90(constB39, 2)),
% 53.79/34.04 inference(modus_ponens,[status(thm)],[10332, 10331])).
% 53.79/34.04 tff(10334,plain,
% 53.79/34.04 ((~v90(constB38, 2)) | v100(constB39) | v90(constB39, 2)),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[10333, 2174, 7816])).
% 53.79/34.04 tff(10335,plain,
% 53.79/34.04 ((~v90(constB38, 2)) | v90(constB39, 2)),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[10334, 7828])).
% 53.79/34.04 tff(10336,plain,
% 53.79/34.04 (v90(constB39, 2)),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[10335, 10327])).
% 53.79/34.04 tff(10337,plain,
% 53.79/34.04 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB39)) | (~v90(constB39, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB39)) | (~v90(constB39, 2)))),
% 53.79/34.04 inference(rewrite,[status(thm)],[])).
% 53.79/34.04 tff(10338,plain,
% 53.79/34.04 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB39)) | (~v90(constB39, 2)))),
% 53.79/34.04 inference(quant_inst,[status(thm)],[])).
% 53.79/34.04 tff(10339,plain,
% 53.79/34.04 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB39)) | (~v90(constB39, 2))),
% 53.79/34.04 inference(modus_ponens,[status(thm)],[10338, 10337])).
% 53.79/34.04 tff(10340,plain,
% 53.79/34.04 (~v121(constB39)),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[10339, 2857, 10336])).
% 53.79/34.04 tff(10341,plain,
% 53.79/34.04 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB39) | v120(constB39) | v121(constB39) | v122(constB39) | v123(constB39) | v124(constB39) | (~v130(constB39, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB39) | v120(constB39) | v121(constB39) | v122(constB39) | v123(constB39) | v124(constB39) | (~v130(constB39, 2)))),
% 53.79/34.04 inference(rewrite,[status(thm)],[])).
% 53.79/34.04 tff(10342,plain,
% 53.79/34.04 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB39) | v120(constB39) | v121(constB39) | v122(constB39) | v123(constB39) | v124(constB39) | (~v130(constB39, 2)))),
% 53.79/34.04 inference(quant_inst,[status(thm)],[])).
% 53.79/34.04 tff(10343,plain,
% 53.79/34.04 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB39) | v120(constB39) | v121(constB39) | v122(constB39) | v123(constB39) | v124(constB39) | (~v130(constB39, 2))),
% 53.79/34.04 inference(modus_ponens,[status(thm)],[10342, 10341])).
% 53.79/34.04 tff(10344,plain,
% 53.79/34.04 ($false),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[10343, 2904, 7972, 10340, 10305, 10301, 10256, 10252, 10248])).
% 53.79/34.04 tff(10345,plain,((~v124(constB37)) | v122(constB39) | (~v90(constB40, 2)) | (~v90(constB40, 0))), inference(lemma,lemma(discharge,[]))).
% 53.79/34.04 tff(10346,plain,
% 53.79/34.04 (~v124(constB37)),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[10345, 10142, 10140, 10131])).
% 53.79/34.04 tff(10347,plain,
% 53.79/34.04 (~v122(constB41)),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[9989, 9919])).
% 53.79/34.04 tff(10348,assumption,(v120(constB37)), introduced(assumption)).
% 53.79/34.04 tff(10349,plain,
% 53.79/34.04 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB37)) | (~v130(constB37, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB37)) | (~v130(constB37, 0)))),
% 53.79/34.04 inference(rewrite,[status(thm)],[])).
% 53.79/34.04 tff(10350,plain,
% 53.79/34.04 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB37)) | (~v130(constB37, 0)))),
% 53.79/34.04 inference(quant_inst,[status(thm)],[])).
% 53.79/34.04 tff(10351,plain,
% 53.79/34.04 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB37)) | (~v130(constB37, 0))),
% 53.79/34.04 inference(modus_ponens,[status(thm)],[10350, 10349])).
% 53.79/34.04 tff(10352,plain,
% 53.79/34.04 (~v130(constB37, 0)),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[10351, 1657, 10348])).
% 53.79/34.04 tff(10353,plain,
% 53.79/34.04 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB37)) | v130(constB37, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB37)) | v130(constB37, 1))),
% 53.79/34.04 inference(rewrite,[status(thm)],[])).
% 53.79/34.04 tff(10354,plain,
% 53.79/34.04 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB37)) | v130(constB37, 1))),
% 53.79/34.04 inference(quant_inst,[status(thm)],[])).
% 53.79/34.04 tff(10355,plain,
% 53.79/34.04 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB37)) | v130(constB37, 1)),
% 53.79/34.04 inference(modus_ponens,[status(thm)],[10354, 10353])).
% 53.79/34.04 tff(10356,plain,
% 53.79/34.04 (v130(constB37, 1)),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[10355, 1579, 10348])).
% 53.79/34.04 tff(10357,plain,
% 53.79/34.04 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB37)) | (~v130(constB37, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB37)) | (~v130(constB37, 2)))),
% 53.79/34.04 inference(rewrite,[status(thm)],[])).
% 53.79/34.04 tff(10358,plain,
% 53.79/34.04 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB37)) | (~v130(constB37, 2)))),
% 53.79/34.04 inference(quant_inst,[status(thm)],[])).
% 53.79/34.04 tff(10359,plain,
% 53.79/34.04 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB37)) | (~v130(constB37, 2))),
% 53.79/34.04 inference(modus_ponens,[status(thm)],[10358, 10357])).
% 53.79/34.04 tff(10360,plain,
% 53.79/34.04 (~v130(constB37, 2)),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[10359, 1523, 10348])).
% 53.79/34.04 tff(10361,assumption,(~v26(constB37)), introduced(assumption)).
% 53.79/34.04 tff(10362,assumption,(v113(constB37)), introduced(assumption)).
% 53.79/34.04 tff(10363,plain,
% 53.79/34.04 (v26(constB37) | v112(constB37)),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[7715, 1063, 10362])).
% 53.79/34.04 tff(10364,plain,
% 53.79/34.04 (v112(constB37)),
% 53.79/34.04 inference(unit_resolution,[status(thm)],[10363, 10361])).
% 53.79/34.04 tff(10365,plain,
% 53.79/34.04 (v108(constB37)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[7723, 1075, 10364])).
% 53.79/34.05 tff(10366,plain,
% 53.79/34.05 (v110(constB38)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[7734, 10365])).
% 53.79/34.05 tff(10367,plain,
% 53.79/34.05 (v100(constB38)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[7760, 10366])).
% 53.79/34.05 tff(10368,assumption,(~v130(constB37, 2)), introduced(assumption)).
% 53.79/34.05 tff(10369,plain,
% 53.79/34.05 ((~v127(constB37, 2)) | v26(constB37)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[7886, 1190, 10368])).
% 53.79/34.05 tff(10370,plain,
% 53.79/34.05 (~v127(constB37, 2)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[10369, 10361])).
% 53.79/34.05 tff(10371,plain,
% 53.79/34.05 (~v129(constB38, 2)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[7892, 10370])).
% 53.79/34.05 tff(10372,plain,
% 53.79/34.05 ((~v90(constB38, 2)) | (~v100(constB38))),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[7896, 1223, 10371])).
% 53.79/34.05 tff(10373,plain,
% 53.79/34.05 (~v90(constB38, 2)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[10372, 10367])).
% 53.79/34.05 tff(10374,plain,
% 53.79/34.05 (~v90(constB39, 2)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[7906, 10373])).
% 53.79/34.05 tff(10375,assumption,(v130(constB37, 1)), introduced(assumption)).
% 53.79/34.05 tff(10376,plain,
% 53.79/34.05 (v26(constB37) | v127(constB37, 1)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[10220, 1593, 10375])).
% 53.79/34.05 tff(10377,plain,
% 53.79/34.05 (v127(constB37, 1)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[10376, 10361])).
% 53.79/34.05 tff(10378,plain,
% 53.79/34.05 (v129(constB38, 1)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[10226, 10377])).
% 53.79/34.05 tff(10379,plain,
% 53.79/34.05 (v90(constB38, 1) | (~v100(constB38))),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[10233, 1623, 10378])).
% 53.79/34.05 tff(10380,plain,
% 53.79/34.05 (v90(constB38, 1)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[10379, 10367])).
% 53.79/34.05 tff(10381,plain,
% 53.79/34.05 (v90(constB39, 1)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[10243, 10380])).
% 53.79/34.05 tff(10382,assumption,(~v130(constB37, 0)), introduced(assumption)).
% 53.79/34.05 tff(10383,plain,
% 53.79/34.05 ((~v127(constB37, 0)) | v26(constB37)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[10266, 1671, 10382])).
% 53.79/34.05 tff(10384,plain,
% 53.79/34.05 (~v127(constB37, 0)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[10383, 10361])).
% 53.79/34.05 tff(10385,plain,
% 53.79/34.05 (~v129(constB38, 0)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[10272, 10384])).
% 53.79/34.05 tff(10386,plain,
% 53.79/34.05 ((~v90(constB38, 0)) | (~v100(constB38))),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[10279, 1704, 10385])).
% 53.79/34.05 tff(10387,plain,
% 53.79/34.05 (~v90(constB38, 0)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[10386, 10367])).
% 53.79/34.05 tff(10388,plain,
% 53.79/34.05 (~v90(constB39, 0)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[10289, 10387])).
% 53.79/34.05 tff(10389,plain,
% 53.79/34.05 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB39, 0) | (~v90(constB39, 1)) | v90(constB39, 2) | v121(constB39))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB39, 0) | (~v90(constB39, 1)) | v90(constB39, 2) | v121(constB39))),
% 53.79/34.05 inference(rewrite,[status(thm)],[])).
% 53.79/34.05 tff(10390,plain,
% 53.79/34.05 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB39, 0) | (~v90(constB39, 1)) | v90(constB39, 2) | v121(constB39))),
% 53.79/34.05 inference(quant_inst,[status(thm)],[])).
% 53.79/34.05 tff(10391,plain,
% 53.79/34.05 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB39, 0) | (~v90(constB39, 1)) | v90(constB39, 2) | v121(constB39)),
% 53.79/34.05 inference(modus_ponens,[status(thm)],[10390, 10389])).
% 53.79/34.05 tff(10392,plain,
% 53.79/34.05 (v90(constB39, 0) | (~v90(constB39, 1)) | v90(constB39, 2)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[10391, 1731, 7971])).
% 53.79/34.05 tff(10393,plain,
% 53.79/34.05 ($false),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[10392, 10388, 10381, 10374])).
% 53.79/34.05 tff(10394,plain,(v26(constB37) | v121(constB39) | (~v113(constB37)) | v130(constB37, 2) | (~v130(constB37, 1)) | v130(constB37, 0)), inference(lemma,lemma(discharge,[]))).
% 53.79/34.05 tff(10395,plain,
% 53.79/34.05 (v121(constB39) | (~v113(constB37)) | v130(constB37, 2) | (~v130(constB37, 1)) | v130(constB37, 0)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[10394, 7709])).
% 53.79/34.05 tff(10396,plain,
% 53.79/34.05 (~v113(constB37)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[10395, 10360, 7971, 10356, 10352])).
% 53.79/34.05 tff(10397,plain,
% 53.79/34.05 (~v114(constB37)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[10208, 1049, 10396])).
% 53.79/34.05 tff(10398,plain,
% 53.79/34.05 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB37) | (~v115(constB37)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB37) | (~v115(constB37)))),
% 53.79/34.05 inference(rewrite,[status(thm)],[])).
% 53.79/34.05 tff(10399,plain,
% 53.79/34.05 (((~v115(constB37)) | v114(constB37)) <=> (v114(constB37) | (~v115(constB37)))),
% 53.79/34.05 inference(rewrite,[status(thm)],[])).
% 53.79/34.05 tff(10400,plain,
% 53.79/34.05 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB37)) | v114(constB37))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB37) | (~v115(constB37))))),
% 53.79/34.05 inference(monotonicity,[status(thm)],[10399])).
% 53.79/34.05 tff(10401,plain,
% 53.79/34.05 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB37)) | v114(constB37))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB37) | (~v115(constB37)))),
% 53.79/34.05 inference(transitivity,[status(thm)],[10400, 10398])).
% 53.79/34.05 tff(10402,plain,
% 53.79/34.05 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB37)) | v114(constB37))),
% 53.79/34.05 inference(quant_inst,[status(thm)],[])).
% 53.79/34.05 tff(10403,plain,
% 53.79/34.05 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB37) | (~v115(constB37))),
% 53.79/34.05 inference(modus_ponens,[status(thm)],[10402, 10401])).
% 53.79/34.05 tff(10404,plain,
% 53.79/34.05 (~v115(constB37)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[10403, 1035, 10397])).
% 53.79/34.05 tff(10405,plain,
% 53.79/34.05 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB37)) | v118(constB37))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB37)) | v118(constB37))),
% 53.79/34.05 inference(rewrite,[status(thm)],[])).
% 53.79/34.05 tff(10406,plain,
% 53.79/34.05 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB37)) | v118(constB37))),
% 53.79/34.05 inference(quant_inst,[status(thm)],[])).
% 53.79/34.05 tff(10407,plain,
% 53.79/34.05 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB37)) | v118(constB37)),
% 53.79/34.05 inference(modus_ponens,[status(thm)],[10406, 10405])).
% 53.79/34.05 tff(10408,plain,
% 53.79/34.05 (v118(constB37)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[10407, 1425, 10348])).
% 53.79/34.05 tff(10409,plain,
% 53.79/34.05 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB37) | (~v118(constB37)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB37) | (~v118(constB37)))),
% 53.79/34.05 inference(rewrite,[status(thm)],[])).
% 53.79/34.05 tff(10410,plain,
% 53.79/34.05 (((~v118(constB37)) | v117(constB37)) <=> (v117(constB37) | (~v118(constB37)))),
% 53.79/34.05 inference(rewrite,[status(thm)],[])).
% 53.79/34.05 tff(10411,plain,
% 53.79/34.05 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB37)) | v117(constB37))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB37) | (~v118(constB37))))),
% 53.79/34.05 inference(monotonicity,[status(thm)],[10410])).
% 53.79/34.05 tff(10412,plain,
% 53.79/34.05 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB37)) | v117(constB37))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB37) | (~v118(constB37)))),
% 53.79/34.05 inference(transitivity,[status(thm)],[10411, 10409])).
% 53.79/34.05 tff(10413,plain,
% 53.79/34.05 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB37)) | v117(constB37))),
% 53.79/34.05 inference(quant_inst,[status(thm)],[])).
% 53.79/34.05 tff(10414,plain,
% 53.79/34.05 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB37) | (~v118(constB37))),
% 53.79/34.05 inference(modus_ponens,[status(thm)],[10413, 10412])).
% 53.79/34.05 tff(10415,plain,
% 53.79/34.05 (v117(constB37)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[10414, 993, 10408])).
% 53.79/34.05 tff(10416,plain,
% 53.79/34.05 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB37) | (~v117(constB37)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB37) | (~v117(constB37)))),
% 53.79/34.05 inference(rewrite,[status(thm)],[])).
% 53.79/34.05 tff(10417,plain,
% 53.79/34.05 (((~v117(constB37)) | v116(constB37)) <=> (v116(constB37) | (~v117(constB37)))),
% 53.79/34.05 inference(rewrite,[status(thm)],[])).
% 53.79/34.05 tff(10418,plain,
% 53.79/34.05 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB37)) | v116(constB37))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB37) | (~v117(constB37))))),
% 53.79/34.05 inference(monotonicity,[status(thm)],[10417])).
% 53.79/34.05 tff(10419,plain,
% 53.79/34.05 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB37)) | v116(constB37))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB37) | (~v117(constB37)))),
% 53.79/34.05 inference(transitivity,[status(thm)],[10418, 10416])).
% 53.79/34.05 tff(10420,plain,
% 53.79/34.05 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB37)) | v116(constB37))),
% 53.79/34.05 inference(quant_inst,[status(thm)],[])).
% 53.79/34.05 tff(10421,plain,
% 53.79/34.05 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB37) | (~v117(constB37))),
% 53.79/34.05 inference(modus_ponens,[status(thm)],[10420, 10419])).
% 53.79/34.05 tff(10422,plain,
% 53.79/34.05 (v116(constB37)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[10421, 1007, 10415])).
% 53.79/34.05 tff(10423,plain,
% 53.79/34.05 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB37) | (~v116(constB37)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB37) | (~v116(constB37)))),
% 53.79/34.05 inference(rewrite,[status(thm)],[])).
% 53.79/34.05 tff(10424,plain,
% 53.79/34.05 (((~v116(constB37)) | v115(constB37)) <=> (v115(constB37) | (~v116(constB37)))),
% 53.79/34.05 inference(rewrite,[status(thm)],[])).
% 53.79/34.05 tff(10425,plain,
% 53.79/34.05 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB37)) | v115(constB37))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB37) | (~v116(constB37))))),
% 53.79/34.05 inference(monotonicity,[status(thm)],[10424])).
% 53.79/34.05 tff(10426,plain,
% 53.79/34.05 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB37)) | v115(constB37))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB37) | (~v116(constB37)))),
% 53.79/34.05 inference(transitivity,[status(thm)],[10425, 10423])).
% 53.79/34.05 tff(10427,plain,
% 53.79/34.05 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB37)) | v115(constB37))),
% 53.79/34.05 inference(quant_inst,[status(thm)],[])).
% 53.79/34.05 tff(10428,plain,
% 53.79/34.05 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB37) | (~v116(constB37))),
% 53.79/34.05 inference(modus_ponens,[status(thm)],[10427, 10426])).
% 53.79/34.05 tff(10429,plain,
% 53.79/34.05 ($false),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[10428, 1021, 10422, 10404])).
% 53.79/34.05 tff(10430,plain,((~v120(constB37)) | v121(constB39)), inference(lemma,lemma(discharge,[]))).
% 53.79/34.05 tff(10431,plain,
% 53.79/34.05 (v121(constB39)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[10430, 10348])).
% 53.79/34.05 tff(10432,plain,
% 53.79/34.05 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB39)) | v130(constB39, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB39)) | v130(constB39, 1))),
% 53.79/34.05 inference(rewrite,[status(thm)],[])).
% 53.79/34.05 tff(10433,plain,
% 53.79/34.05 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB39)) | v130(constB39, 1))),
% 53.79/34.05 inference(quant_inst,[status(thm)],[])).
% 53.79/34.05 tff(10434,plain,
% 53.79/34.05 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB39)) | v130(constB39, 1)),
% 53.79/34.05 inference(modus_ponens,[status(thm)],[10433, 10432])).
% 53.79/34.05 tff(10435,plain,
% 53.79/34.05 (v130(constB39, 1)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[10434, 1877, 10431])).
% 53.79/34.05 tff(10436,plain,
% 53.79/34.05 (v127(constB39, 1)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[8104, 10435])).
% 53.79/34.05 tff(10437,plain,
% 53.79/34.05 (v129(constB40, 1)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[8109, 10436])).
% 53.79/34.05 tff(10438,assumption,(v121(constB39)), introduced(assumption)).
% 53.79/34.05 tff(10439,plain,
% 53.79/34.05 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB39)) | v117(constB39))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB39)) | v117(constB39))),
% 53.79/34.05 inference(rewrite,[status(thm)],[])).
% 53.79/34.05 tff(10440,plain,
% 53.79/34.05 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB39)) | v117(constB39))),
% 53.79/34.05 inference(quant_inst,[status(thm)],[])).
% 53.79/34.05 tff(10441,plain,
% 53.79/34.05 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB39)) | v117(constB39)),
% 53.79/34.05 inference(modus_ponens,[status(thm)],[10440, 10439])).
% 53.79/34.05 tff(10442,plain,
% 53.79/34.05 (v117(constB39)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[10441, 1742, 10438])).
% 53.79/34.05 tff(10443,plain,
% 53.79/34.05 (v116(constB39)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[7948, 1007, 10442])).
% 53.79/34.05 tff(10444,plain,
% 53.79/34.05 (v115(constB39)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[7941, 1021, 10443])).
% 53.79/34.05 tff(10445,plain,
% 53.79/34.05 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB39)) | v130(constB39, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB39)) | v130(constB39, 0))),
% 53.79/34.05 inference(rewrite,[status(thm)],[])).
% 53.79/34.05 tff(10446,plain,
% 53.79/34.05 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB39)) | v130(constB39, 0))),
% 53.79/34.05 inference(quant_inst,[status(thm)],[])).
% 53.79/34.05 tff(10447,plain,
% 53.79/34.05 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB39)) | v130(constB39, 0)),
% 53.79/34.05 inference(modus_ponens,[status(thm)],[10446, 10445])).
% 53.79/34.05 tff(10448,plain,
% 53.79/34.05 (v130(constB39, 0)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[10447, 1915, 10438])).
% 53.79/34.05 tff(10449,plain,
% 53.79/34.05 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB39) | (~v130(constB39, 0)) | v127(constB39, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB39) | (~v130(constB39, 0)) | v127(constB39, 0))),
% 53.79/34.05 inference(rewrite,[status(thm)],[])).
% 53.79/34.05 tff(10450,plain,
% 53.79/34.05 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB39) | (~v130(constB39, 0)) | v127(constB39, 0))),
% 53.79/34.05 inference(quant_inst,[status(thm)],[])).
% 53.79/34.05 tff(10451,plain,
% 53.79/34.05 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB39) | (~v130(constB39, 0)) | v127(constB39, 0)),
% 53.79/34.05 inference(modus_ponens,[status(thm)],[10450, 10449])).
% 53.79/34.05 tff(10452,plain,
% 53.79/34.05 ((~v130(constB39, 0)) | v127(constB39, 0)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[10451, 1347, 8051])).
% 53.79/34.05 tff(10453,plain,
% 53.79/34.05 (v127(constB39, 0)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[10452, 10448])).
% 53.79/34.05 tff(10454,plain,
% 53.79/34.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB39, constB40)) | (~v127(constB39, 0)) | v129(constB40, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB39, constB40)) | (~v127(constB39, 0)) | v129(constB40, 0))),
% 53.79/34.05 inference(rewrite,[status(thm)],[])).
% 53.79/34.05 tff(10455,plain,
% 53.79/34.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB39, constB40)) | (~v127(constB39, 0)) | v129(constB40, 0))),
% 53.79/34.05 inference(quant_inst,[status(thm)],[])).
% 53.79/34.05 tff(10456,plain,
% 53.79/34.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB39, constB40)) | (~v127(constB39, 0)) | v129(constB40, 0)),
% 53.79/34.05 inference(modus_ponens,[status(thm)],[10455, 10454])).
% 53.79/34.05 tff(10457,plain,
% 53.79/34.05 ((~v127(constB39, 0)) | v129(constB40, 0)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[10456, 1362, 8012])).
% 53.79/34.05 tff(10458,plain,
% 53.79/34.05 (v129(constB40, 0)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[10457, 10453])).
% 53.79/34.05 tff(10459,assumption,(~v90(constB40, 0)), introduced(assumption)).
% 53.79/34.05 tff(10460,plain,
% 53.79/34.05 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB40, 0) | (~v129(constB40, 0)) | (~v100(constB40)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB40, 0) | (~v129(constB40, 0)) | (~v100(constB40)))),
% 53.79/34.05 inference(rewrite,[status(thm)],[])).
% 53.79/34.05 tff(10461,plain,
% 53.79/34.05 ((v90(constB40, 0) | (~v100(constB40)) | (~v129(constB40, 0))) <=> (v90(constB40, 0) | (~v129(constB40, 0)) | (~v100(constB40)))),
% 53.79/34.05 inference(rewrite,[status(thm)],[])).
% 53.79/34.05 tff(10462,plain,
% 53.79/34.05 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB40, 0) | (~v100(constB40)) | (~v129(constB40, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB40, 0) | (~v129(constB40, 0)) | (~v100(constB40))))),
% 53.79/34.05 inference(monotonicity,[status(thm)],[10461])).
% 53.79/34.05 tff(10463,plain,
% 53.79/34.05 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB40, 0) | (~v100(constB40)) | (~v129(constB40, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB40, 0) | (~v129(constB40, 0)) | (~v100(constB40)))),
% 53.79/34.05 inference(transitivity,[status(thm)],[10462, 10460])).
% 53.79/34.05 tff(10464,plain,
% 53.79/34.05 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB40, 0) | (~v100(constB40)) | (~v129(constB40, 0)))),
% 53.79/34.05 inference(quant_inst,[status(thm)],[])).
% 53.79/34.05 tff(10465,plain,
% 53.79/34.05 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB40, 0) | (~v129(constB40, 0)) | (~v100(constB40))),
% 53.79/34.05 inference(modus_ponens,[status(thm)],[10464, 10463])).
% 53.79/34.05 tff(10466,plain,
% 53.79/34.05 ((~v129(constB40, 0)) | (~v100(constB40))),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[10465, 1377, 10459])).
% 53.79/34.05 tff(10467,plain,
% 53.79/34.05 (~v100(constB40)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[10466, 10458])).
% 53.79/34.05 tff(10468,plain,
% 53.79/34.05 (~v110(constB40)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[8042, 10467])).
% 53.79/34.05 tff(10469,plain,
% 53.79/34.05 (~v108(constB39)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[8019, 10468])).
% 53.79/34.05 tff(10470,plain,
% 53.79/34.05 (~v113(constB39)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[8008, 10469])).
% 53.79/34.05 tff(10471,plain,
% 53.79/34.05 (~v114(constB39)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[7985, 1049, 10470])).
% 53.79/34.05 tff(10472,plain,
% 53.79/34.05 ($false),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[7922, 1035, 10471, 10444])).
% 53.79/34.05 tff(10473,plain,((~v121(constB39)) | v90(constB40, 0)), inference(lemma,lemma(discharge,[]))).
% 53.79/34.05 tff(10474,plain,
% 53.79/34.05 (v90(constB40, 0)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[10473, 10431])).
% 53.79/34.05 tff(10475,plain,
% 53.79/34.05 (v115(constB37)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[10428, 1021, 10422])).
% 53.79/34.05 tff(10476,plain,
% 53.79/34.05 (v114(constB37)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[10403, 1035, 10475])).
% 53.79/34.05 tff(10477,plain,
% 53.79/34.05 (v113(constB37)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[10208, 1049, 10476])).
% 53.79/34.05 tff(10478,plain,
% 53.79/34.05 (v112(constB37)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[7716, 10477])).
% 53.79/34.05 tff(10479,plain,
% 53.79/34.05 (v108(constB37)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[7723, 1075, 10478])).
% 53.79/34.05 tff(10480,plain,
% 53.79/34.05 (v110(constB38)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[7734, 10479])).
% 53.79/34.05 tff(10481,plain,
% 53.79/34.05 (v100(constB38)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[7760, 10480])).
% 53.79/34.05 tff(10482,plain,
% 53.79/34.05 (~v127(constB37, 0)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[10267, 10352])).
% 53.79/34.05 tff(10483,plain,
% 53.79/34.05 (~v129(constB38, 0)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[10272, 10482])).
% 53.79/34.05 tff(10484,plain,
% 53.79/34.05 ((~v90(constB38, 0)) | (~v100(constB38))),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[10279, 1704, 10483])).
% 53.79/34.05 tff(10485,plain,
% 53.79/34.05 (~v90(constB38, 0)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[10484, 10481])).
% 53.79/34.05 tff(10486,plain,
% 53.79/34.05 (~v90(constB39, 0)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[10289, 10485])).
% 53.79/34.05 tff(10487,plain,
% 53.79/34.05 (v100(constB40)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[10297, 10486, 10474])).
% 53.79/34.05 tff(10488,plain,
% 53.79/34.05 (v90(constB40, 1) | (~v129(constB40, 1))),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[8116, 1623, 10487])).
% 53.79/34.05 tff(10489,plain,
% 53.79/34.05 (v90(constB40, 1)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[10488, 10437])).
% 53.79/34.05 tff(10490,plain,
% 53.79/34.05 (v90(constB41, 1)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[8126, 10489])).
% 53.79/34.05 tff(10491,plain,
% 53.79/34.05 (~v130(constB39, 2)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[10170, 1821, 10431])).
% 53.79/34.05 tff(10492,plain,
% 53.79/34.05 (~v127(constB39, 2)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[8058, 10491])).
% 53.79/34.05 tff(10493,plain,
% 53.79/34.05 (~v129(constB40, 2)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[8063, 10492])).
% 53.79/34.05 tff(10494,plain,
% 53.79/34.05 ((~v90(constB40, 2)) | v129(constB40, 2)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[8067, 1223, 10487])).
% 53.79/34.05 tff(10495,plain,
% 53.79/34.05 (~v90(constB40, 2)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[10494, 10493])).
% 53.79/34.05 tff(10496,plain,
% 53.79/34.05 (~v90(constB41, 2)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[8095, 10495])).
% 53.79/34.05 tff(10497,assumption,(~v122(constB41)), introduced(assumption)).
% 53.79/34.05 tff(10498,plain,
% 53.79/34.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB40, 0)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB40, 0)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, 0))),
% 53.79/34.05 inference(rewrite,[status(thm)],[])).
% 53.79/34.05 tff(10499,plain,
% 53.79/34.05 (((~nextState(constB40, constB41)) | (~v90(constB40, 0)) | v100(constB41) | v90(constB41, 0)) <=> ((~v90(constB40, 0)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, 0))),
% 53.79/34.05 inference(rewrite,[status(thm)],[])).
% 53.79/34.05 tff(10500,plain,
% 53.79/34.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB40, constB41)) | (~v90(constB40, 0)) | v100(constB41) | v90(constB41, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB40, 0)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, 0)))),
% 53.79/34.05 inference(monotonicity,[status(thm)],[10499])).
% 53.79/34.05 tff(10501,plain,
% 53.79/34.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB40, constB41)) | (~v90(constB40, 0)) | v100(constB41) | v90(constB41, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB40, 0)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, 0))),
% 53.79/34.05 inference(transitivity,[status(thm)],[10500, 10498])).
% 53.79/34.05 tff(10502,plain,
% 53.79/34.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB40, constB41)) | (~v90(constB40, 0)) | v100(constB41) | v90(constB41, 0))),
% 53.79/34.05 inference(quant_inst,[status(thm)],[])).
% 53.79/34.05 tff(10503,plain,
% 53.79/34.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB40, 0)) | (~nextState(constB40, constB41)) | v100(constB41) | v90(constB41, 0)),
% 53.79/34.05 inference(modus_ponens,[status(thm)],[10502, 10501])).
% 53.79/34.05 tff(10504,plain,
% 53.79/34.05 ((~v90(constB40, 0)) | v100(constB41) | v90(constB41, 0)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[10503, 1395, 8075])).
% 53.79/34.05 tff(10505,plain,
% 53.79/34.05 ((~v90(constB40, 0)) | v90(constB41, 0)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[10504, 8087])).
% 53.79/34.05 tff(10506,plain,
% 53.79/34.05 (v90(constB41, 0)),
% 53.79/34.05 inference(unit_resolution,[status(thm)],[10505, 10474])).
% 53.79/34.05 tff(10507,plain,
% 53.79/34.05 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB41, 0)) | (~v90(constB41, 1)) | v90(constB41, 2) | v122(constB41))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB41, 0)) | (~v90(constB41, 1)) | v90(constB41, 2) | v122(constB41))),
% 53.89/34.05 inference(rewrite,[status(thm)],[])).
% 53.89/34.05 tff(10508,plain,
% 53.89/34.05 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB41, 0)) | (~v90(constB41, 1)) | v90(constB41, 2) | v122(constB41))),
% 53.89/34.05 inference(quant_inst,[status(thm)],[])).
% 53.89/34.05 tff(10509,plain,
% 53.89/34.05 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB41, 0)) | (~v90(constB41, 1)) | v90(constB41, 2) | v122(constB41)),
% 53.89/34.05 inference(modus_ponens,[status(thm)],[10508, 10507])).
% 53.89/34.05 tff(10510,plain,
% 53.89/34.05 ((~v90(constB41, 1)) | v90(constB41, 2)),
% 53.89/34.05 inference(unit_resolution,[status(thm)],[10509, 1956, 10506, 10497])).
% 53.89/34.05 tff(10511,plain,
% 53.89/34.05 ($false),
% 53.89/34.05 inference(unit_resolution,[status(thm)],[10510, 10496, 10490])).
% 53.89/34.05 tff(10512,plain,((~v120(constB37)) | v122(constB41)), inference(lemma,lemma(discharge,[]))).
% 53.89/34.05 tff(10513,plain,
% 53.89/34.05 (~v120(constB37)),
% 53.89/34.05 inference(unit_resolution,[status(thm)],[10512, 10347])).
% 53.89/34.05 tff(10514,plain,
% 53.89/34.05 (v90(constB39, 0)),
% 53.89/34.05 inference(unit_resolution,[status(thm)],[10297, 10182, 10142])).
% 53.89/34.05 tff(10515,plain,
% 53.89/34.05 (v90(constB38, 0)),
% 53.89/34.05 inference(unit_resolution,[status(thm)],[10289, 10514])).
% 53.89/34.05 tff(10516,assumption,(v100(constB38)), introduced(assumption)).
% 53.89/34.05 tff(10517,assumption,(v90(constB38, 2)), introduced(assumption)).
% 53.89/34.05 tff(10518,plain,
% 53.89/34.05 (v129(constB38, 2) | (~v100(constB38))),
% 53.89/34.05 inference(unit_resolution,[status(thm)],[7896, 1223, 10517])).
% 53.89/34.05 tff(10519,plain,
% 53.89/34.05 (v129(constB38, 2)),
% 53.89/34.05 inference(unit_resolution,[status(thm)],[10518, 10516])).
% 53.89/34.05 tff(10520,plain,
% 53.89/34.05 (v127(constB37, 2)),
% 53.89/34.05 inference(unit_resolution,[status(thm)],[7892, 10519])).
% 53.89/34.05 tff(10521,plain,
% 53.89/34.05 (v130(constB37, 2)),
% 53.89/34.05 inference(unit_resolution,[status(thm)],[7887, 10520])).
% 53.89/34.05 tff(10522,plain,
% 53.89/34.05 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB37)) | (~v130(constB37, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB37)) | (~v130(constB37, 2)))),
% 53.89/34.05 inference(rewrite,[status(thm)],[])).
% 53.89/34.05 tff(10523,plain,
% 53.89/34.05 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB37)) | (~v130(constB37, 2)))),
% 53.89/34.05 inference(quant_inst,[status(thm)],[])).
% 53.89/34.05 tff(10524,plain,
% 53.89/34.05 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB37)) | (~v130(constB37, 2))),
% 53.89/34.05 inference(modus_ponens,[status(thm)],[10523, 10522])).
% 53.89/34.05 tff(10525,plain,
% 53.89/34.05 (~v119(constB37)),
% 53.89/34.05 inference(unit_resolution,[status(thm)],[10524, 1176, 10521])).
% 53.89/34.05 tff(10526,plain,
% 53.89/34.05 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB37)) | (~v130(constB37, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB37)) | (~v130(constB37, 2)))),
% 53.89/34.05 inference(rewrite,[status(thm)],[])).
% 53.89/34.05 tff(10527,plain,
% 53.89/34.05 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB37)) | (~v130(constB37, 2)))),
% 53.89/34.05 inference(quant_inst,[status(thm)],[])).
% 53.89/34.05 tff(10528,plain,
% 53.89/34.05 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB37)) | (~v130(constB37, 2))),
% 53.89/34.05 inference(modus_ponens,[status(thm)],[10527, 10526])).
% 53.89/34.05 tff(10529,plain,
% 53.89/34.05 (~v121(constB37)),
% 53.89/34.05 inference(unit_resolution,[status(thm)],[10528, 1821, 10521])).
% 53.89/34.05 tff(10530,assumption,(v90(constB38, 0)), introduced(assumption)).
% 53.89/34.05 tff(10531,plain,
% 53.89/34.05 (v129(constB38, 0) | (~v100(constB38))),
% 53.89/34.05 inference(unit_resolution,[status(thm)],[10279, 1704, 10530])).
% 53.89/34.05 tff(10532,plain,
% 53.89/34.05 (v129(constB38, 0)),
% 53.89/34.05 inference(unit_resolution,[status(thm)],[10531, 10516])).
% 53.89/34.05 tff(10533,plain,
% 53.89/34.05 (v127(constB37, 0)),
% 53.89/34.05 inference(unit_resolution,[status(thm)],[10272, 10532])).
% 53.89/34.05 tff(10534,plain,
% 53.89/34.05 (v130(constB37, 0)),
% 53.89/34.05 inference(unit_resolution,[status(thm)],[10267, 10533])).
% 53.89/34.05 tff(10535,plain,
% 53.89/34.05 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB37)) | (~v130(constB37, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB37)) | (~v130(constB37, 0)))),
% 53.89/34.05 inference(rewrite,[status(thm)],[])).
% 53.89/34.05 tff(10536,plain,
% 53.89/34.05 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB37)) | (~v130(constB37, 0)))),
% 53.89/34.05 inference(quant_inst,[status(thm)],[])).
% 53.89/34.05 tff(10537,plain,
% 53.89/34.05 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB37)) | (~v130(constB37, 0))),
% 53.89/34.05 inference(modus_ponens,[status(thm)],[10536, 10535])).
% 53.89/34.05 tff(10538,plain,
% 53.89/34.05 (~v122(constB37)),
% 53.89/34.05 inference(unit_resolution,[status(thm)],[10537, 2407, 10534])).
% 53.89/34.05 tff(10539,assumption,(v90(constB38, 1)), introduced(assumption)).
% 53.89/34.05 tff(10540,plain,
% 53.89/34.05 (v129(constB38, 1) | (~v100(constB38))),
% 53.89/34.05 inference(unit_resolution,[status(thm)],[7808, 1309, 10539])).
% 53.89/34.05 tff(10541,plain,
% 53.89/34.05 (v129(constB38, 1)),
% 53.89/34.05 inference(unit_resolution,[status(thm)],[10540, 10516])).
% 53.89/34.05 tff(10542,plain,
% 53.89/34.05 (v127(constB37, 1)),
% 53.89/34.05 inference(unit_resolution,[status(thm)],[7801, 10541])).
% 53.89/34.05 tff(10543,plain,
% 53.89/34.05 (v130(constB37, 1)),
% 53.89/34.05 inference(unit_resolution,[status(thm)],[7796, 10542])).
% 53.89/34.05 tff(10544,plain,
% 53.89/34.05 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB37)) | (~v130(constB37, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB37)) | (~v130(constB37, 1)))),
% 53.89/34.05 inference(rewrite,[status(thm)],[])).
% 53.89/34.05 tff(10545,plain,
% 53.89/34.05 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB37)) | (~v130(constB37, 1)))),
% 53.89/34.05 inference(quant_inst,[status(thm)],[])).
% 53.89/34.05 tff(10546,plain,
% 53.89/34.05 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB37)) | (~v130(constB37, 1))),
% 53.89/34.05 inference(modus_ponens,[status(thm)],[10545, 10544])).
% 53.89/34.05 tff(10547,plain,
% 53.89/34.05 (~v123(constB37)),
% 53.89/34.05 inference(unit_resolution,[status(thm)],[10546, 2581, 10543])).
% 53.89/34.05 tff(10548,assumption,(~v124(constB37)), introduced(assumption)).
% 53.89/34.05 tff(10549,assumption,(~v120(constB37)), introduced(assumption)).
% 53.89/34.05 tff(10550,plain,
% 53.89/34.05 (v119(constB37) | v121(constB37) | v122(constB37) | v123(constB37) | (~v130(constB37, 2))),
% 53.89/34.05 inference(unit_resolution,[status(thm)],[7879, 2904, 10549, 10548])).
% 53.89/34.05 tff(10551,plain,
% 53.89/34.05 ($false),
% 53.89/34.05 inference(unit_resolution,[status(thm)],[10550, 10547, 10538, 10521, 10529, 10525])).
% 53.89/34.05 tff(10552,plain,((~v100(constB38)) | v120(constB37) | v124(constB37) | (~v90(constB38, 1)) | (~v90(constB38, 0)) | (~v90(constB38, 2))), inference(lemma,lemma(discharge,[]))).
% 53.89/34.05 tff(10553,plain,
% 53.89/34.05 (~v100(constB38)),
% 53.89/34.05 inference(unit_resolution,[status(thm)],[10552, 10515, 10513, 10346, 10191, 10200])).
% 53.89/34.05 tff(10554,plain,
% 53.89/34.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB37, 1) | (~nextState(constB37, constB38)) | v100(constB38) | (~v90(constB38, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB37, 1) | (~nextState(constB37, constB38)) | v100(constB38) | (~v90(constB38, 1)))),
% 53.89/34.05 inference(rewrite,[status(thm)],[])).
% 53.89/34.05 tff(10555,plain,
% 53.89/34.05 (((~nextState(constB37, constB38)) | v90(constB37, 1) | v100(constB38) | (~v90(constB38, 1))) <=> (v90(constB37, 1) | (~nextState(constB37, constB38)) | v100(constB38) | (~v90(constB38, 1)))),
% 53.89/34.05 inference(rewrite,[status(thm)],[])).
% 53.89/34.05 tff(10556,plain,
% 53.89/34.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB37, constB38)) | v90(constB37, 1) | v100(constB38) | (~v90(constB38, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB37, 1) | (~nextState(constB37, constB38)) | v100(constB38) | (~v90(constB38, 1))))),
% 53.89/34.05 inference(monotonicity,[status(thm)],[10555])).
% 53.89/34.05 tff(10557,plain,
% 53.89/34.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB37, constB38)) | v90(constB37, 1) | v100(constB38) | (~v90(constB38, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB37, 1) | (~nextState(constB37, constB38)) | v100(constB38) | (~v90(constB38, 1)))),
% 53.89/34.05 inference(transitivity,[status(thm)],[10556, 10554])).
% 53.89/34.05 tff(10558,plain,
% 53.89/34.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB37, constB38)) | v90(constB37, 1) | v100(constB38) | (~v90(constB38, 1)))),
% 53.89/34.05 inference(quant_inst,[status(thm)],[])).
% 53.89/34.05 tff(10559,plain,
% 53.89/34.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB37, 1) | (~nextState(constB37, constB38)) | v100(constB38) | (~v90(constB38, 1))),
% 53.89/34.05 inference(modus_ponens,[status(thm)],[10558, 10557])).
% 53.89/34.05 tff(10560,plain,
% 53.89/34.05 (v90(constB37, 1) | v100(constB38) | (~v90(constB38, 1))),
% 53.89/34.05 inference(unit_resolution,[status(thm)],[10559, 926, 7727])).
% 53.89/34.05 tff(10561,plain,
% 53.89/34.05 (v90(constB37, 1)),
% 53.89/34.05 inference(unit_resolution,[status(thm)],[10560, 10553, 10191])).
% 53.89/34.05 tff(10562,plain,
% 53.89/34.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB36, 1) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB36, 1) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, 1)))),
% 53.89/34.05 inference(rewrite,[status(thm)],[])).
% 53.89/34.05 tff(10563,plain,
% 53.89/34.05 (((~nextState(constB36, constB37)) | v90(constB36, 1) | v100(constB37) | (~v90(constB37, 1))) <=> (v90(constB36, 1) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, 1)))),
% 53.89/34.05 inference(rewrite,[status(thm)],[])).
% 53.89/34.05 tff(10564,plain,
% 53.89/34.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB36, constB37)) | v90(constB36, 1) | v100(constB37) | (~v90(constB37, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB36, 1) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, 1))))),
% 53.89/34.05 inference(monotonicity,[status(thm)],[10563])).
% 53.89/34.05 tff(10565,plain,
% 53.89/34.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB36, constB37)) | v90(constB36, 1) | v100(constB37) | (~v90(constB37, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB36, 1) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, 1)))),
% 53.89/34.05 inference(transitivity,[status(thm)],[10564, 10562])).
% 53.89/34.05 tff(10566,plain,
% 53.89/34.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB36, constB37)) | v90(constB36, 1) | v100(constB37) | (~v90(constB37, 1)))),
% 53.89/34.05 inference(quant_inst,[status(thm)],[])).
% 53.89/34.05 tff(10567,plain,
% 53.89/34.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB36, 1) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, 1))),
% 53.89/34.05 inference(modus_ponens,[status(thm)],[10566, 10565])).
% 53.89/34.05 tff(10568,plain,
% 53.89/34.05 (v90(constB36, 1) | v100(constB37) | (~v90(constB37, 1))),
% 53.89/34.05 inference(unit_resolution,[status(thm)],[10567, 926, 7608])).
% 53.89/34.05 tff(10569,plain,
% 53.89/34.05 (v90(constB36, 1) | (~v90(constB37, 1))),
% 53.89/34.05 inference(unit_resolution,[status(thm)],[10568, 7620])).
% 53.89/34.05 tff(10570,plain,
% 53.89/34.05 (v90(constB36, 1)),
% 53.89/34.05 inference(unit_resolution,[status(thm)],[10569, 10561])).
% 53.89/34.05 tff(10571,plain,
% 53.89/34.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB37, 0) | (~nextState(constB37, constB38)) | v100(constB38) | (~v90(constB38, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB37, 0) | (~nextState(constB37, constB38)) | v100(constB38) | (~v90(constB38, 0)))),
% 53.89/34.05 inference(rewrite,[status(thm)],[])).
% 53.89/34.05 tff(10572,plain,
% 53.89/34.05 (((~nextState(constB37, constB38)) | v90(constB37, 0) | v100(constB38) | (~v90(constB38, 0))) <=> (v90(constB37, 0) | (~nextState(constB37, constB38)) | v100(constB38) | (~v90(constB38, 0)))),
% 53.89/34.05 inference(rewrite,[status(thm)],[])).
% 53.89/34.05 tff(10573,plain,
% 53.89/34.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB37, constB38)) | v90(constB37, 0) | v100(constB38) | (~v90(constB38, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB37, 0) | (~nextState(constB37, constB38)) | v100(constB38) | (~v90(constB38, 0))))),
% 53.89/34.05 inference(monotonicity,[status(thm)],[10572])).
% 53.89/34.05 tff(10574,plain,
% 53.89/34.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB37, constB38)) | v90(constB37, 0) | v100(constB38) | (~v90(constB38, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB37, 0) | (~nextState(constB37, constB38)) | v100(constB38) | (~v90(constB38, 0)))),
% 53.89/34.05 inference(transitivity,[status(thm)],[10573, 10571])).
% 53.89/34.05 tff(10575,plain,
% 53.89/34.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB37, constB38)) | v90(constB37, 0) | v100(constB38) | (~v90(constB38, 0)))),
% 53.89/34.05 inference(quant_inst,[status(thm)],[])).
% 53.89/34.05 tff(10576,plain,
% 53.89/34.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB37, 0) | (~nextState(constB37, constB38)) | v100(constB38) | (~v90(constB38, 0))),
% 53.89/34.05 inference(modus_ponens,[status(thm)],[10575, 10574])).
% 53.89/34.05 tff(10577,plain,
% 53.89/34.05 (v90(constB37, 0) | v100(constB38) | (~v90(constB38, 0))),
% 53.89/34.05 inference(unit_resolution,[status(thm)],[10576, 947, 7727])).
% 53.89/34.05 tff(10578,plain,
% 53.89/34.05 (v90(constB37, 0)),
% 53.89/34.05 inference(unit_resolution,[status(thm)],[10577, 10553, 10515])).
% 53.89/34.05 tff(10579,plain,
% 53.89/34.05 (v90(constB36, 0)),
% 53.89/34.05 inference(unit_resolution,[status(thm)],[7693, 10578])).
% 53.89/34.05 tff(10580,assumption,(v120(constB35)), introduced(assumption)).
% 53.89/34.05 tff(10581,plain,
% 53.89/34.05 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB35)) | v118(constB35))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB35)) | v118(constB35))),
% 53.89/34.05 inference(rewrite,[status(thm)],[])).
% 53.89/34.05 tff(10582,plain,
% 53.89/34.05 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB35)) | v118(constB35))),
% 53.89/34.05 inference(quant_inst,[status(thm)],[])).
% 53.89/34.05 tff(10583,plain,
% 53.89/34.05 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB35)) | v118(constB35)),
% 53.89/34.05 inference(modus_ponens,[status(thm)],[10582, 10581])).
% 53.89/34.05 tff(10584,plain,
% 53.89/34.05 (v118(constB35)),
% 53.89/34.05 inference(unit_resolution,[status(thm)],[10583, 1425, 10580])).
% 53.89/34.05 tff(10585,plain,
% 53.89/34.05 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB35) | (~v118(constB35)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB35) | (~v118(constB35)))),
% 53.89/34.05 inference(rewrite,[status(thm)],[])).
% 53.89/34.05 tff(10586,plain,
% 53.89/34.05 (((~v118(constB35)) | v117(constB35)) <=> (v117(constB35) | (~v118(constB35)))),
% 53.89/34.05 inference(rewrite,[status(thm)],[])).
% 53.89/34.05 tff(10587,plain,
% 53.89/34.05 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB35)) | v117(constB35))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB35) | (~v118(constB35))))),
% 53.89/34.05 inference(monotonicity,[status(thm)],[10586])).
% 53.89/34.05 tff(10588,plain,
% 53.89/34.05 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB35)) | v117(constB35))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB35) | (~v118(constB35)))),
% 53.89/34.05 inference(transitivity,[status(thm)],[10587, 10585])).
% 53.89/34.05 tff(10589,plain,
% 53.89/34.05 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB35)) | v117(constB35))),
% 53.89/34.05 inference(quant_inst,[status(thm)],[])).
% 53.89/34.05 tff(10590,plain,
% 53.89/34.05 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB35) | (~v118(constB35))),
% 53.89/34.05 inference(modus_ponens,[status(thm)],[10589, 10588])).
% 53.89/34.05 tff(10591,plain,
% 53.89/34.05 (v117(constB35)),
% 53.89/34.05 inference(unit_resolution,[status(thm)],[10590, 993, 10584])).
% 53.89/34.05 tff(10592,plain,
% 53.89/34.05 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB35) | (~v117(constB35)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB35) | (~v117(constB35)))),
% 53.89/34.05 inference(rewrite,[status(thm)],[])).
% 53.89/34.05 tff(10593,plain,
% 53.89/34.05 (((~v117(constB35)) | v116(constB35)) <=> (v116(constB35) | (~v117(constB35)))),
% 53.89/34.05 inference(rewrite,[status(thm)],[])).
% 53.89/34.05 tff(10594,plain,
% 53.89/34.05 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB35)) | v116(constB35))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB35) | (~v117(constB35))))),
% 53.89/34.05 inference(monotonicity,[status(thm)],[10593])).
% 53.89/34.05 tff(10595,plain,
% 53.89/34.05 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB35)) | v116(constB35))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB35) | (~v117(constB35)))),
% 53.89/34.05 inference(transitivity,[status(thm)],[10594, 10592])).
% 53.89/34.05 tff(10596,plain,
% 53.89/34.05 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB35)) | v116(constB35))),
% 53.89/34.05 inference(quant_inst,[status(thm)],[])).
% 53.89/34.05 tff(10597,plain,
% 53.89/34.05 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB35) | (~v117(constB35))),
% 53.89/34.05 inference(modus_ponens,[status(thm)],[10596, 10595])).
% 53.89/34.05 tff(10598,plain,
% 53.89/34.05 (v116(constB35)),
% 53.89/34.05 inference(unit_resolution,[status(thm)],[10597, 1007, 10591])).
% 53.89/34.05 tff(10599,plain,
% 53.89/34.05 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB35) | (~v116(constB35)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB35) | (~v116(constB35)))),
% 53.89/34.05 inference(rewrite,[status(thm)],[])).
% 53.89/34.05 tff(10600,plain,
% 53.89/34.05 (((~v116(constB35)) | v115(constB35)) <=> (v115(constB35) | (~v116(constB35)))),
% 53.89/34.05 inference(rewrite,[status(thm)],[])).
% 53.89/34.05 tff(10601,plain,
% 53.89/34.05 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB35)) | v115(constB35))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB35) | (~v116(constB35))))),
% 53.89/34.05 inference(monotonicity,[status(thm)],[10600])).
% 53.89/34.05 tff(10602,plain,
% 53.89/34.05 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB35)) | v115(constB35))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB35) | (~v116(constB35)))),
% 53.89/34.05 inference(transitivity,[status(thm)],[10601, 10599])).
% 53.89/34.05 tff(10603,plain,
% 53.89/34.05 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB35)) | v115(constB35))),
% 53.89/34.05 inference(quant_inst,[status(thm)],[])).
% 53.89/34.05 tff(10604,plain,
% 53.89/34.05 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB35) | (~v116(constB35))),
% 53.89/34.05 inference(modus_ponens,[status(thm)],[10603, 10602])).
% 53.89/34.05 tff(10605,plain,
% 53.89/34.05 (v115(constB35)),
% 53.89/34.05 inference(unit_resolution,[status(thm)],[10604, 1021, 10598])).
% 53.89/34.05 tff(10606,plain,
% 53.89/34.06 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB35) | (~v115(constB35)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB35) | (~v115(constB35)))),
% 53.89/34.06 inference(rewrite,[status(thm)],[])).
% 53.89/34.06 tff(10607,plain,
% 53.89/34.06 (((~v115(constB35)) | v114(constB35)) <=> (v114(constB35) | (~v115(constB35)))),
% 53.89/34.06 inference(rewrite,[status(thm)],[])).
% 53.89/34.06 tff(10608,plain,
% 53.89/34.06 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB35)) | v114(constB35))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB35) | (~v115(constB35))))),
% 53.89/34.06 inference(monotonicity,[status(thm)],[10607])).
% 53.89/34.06 tff(10609,plain,
% 53.89/34.06 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB35)) | v114(constB35))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB35) | (~v115(constB35)))),
% 53.89/34.06 inference(transitivity,[status(thm)],[10608, 10606])).
% 53.89/34.06 tff(10610,plain,
% 53.89/34.06 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB35)) | v114(constB35))),
% 53.89/34.06 inference(quant_inst,[status(thm)],[])).
% 53.89/34.06 tff(10611,plain,
% 53.89/34.06 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB35) | (~v115(constB35))),
% 53.89/34.06 inference(modus_ponens,[status(thm)],[10610, 10609])).
% 53.89/34.06 tff(10612,plain,
% 53.89/34.06 (v114(constB35)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[10611, 1035, 10605])).
% 53.89/34.06 tff(10613,plain,
% 53.89/34.06 (v113(constB35)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[7526, 1049, 10612])).
% 53.89/34.06 tff(10614,plain,
% 53.89/34.06 (v112(constB35)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[7535, 10613])).
% 53.89/34.06 tff(10615,plain,
% 53.89/34.06 (v108(constB35)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[7542, 1075, 10614])).
% 53.89/34.06 tff(10616,plain,
% 53.89/34.06 (v110(constB36)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[7553, 10615])).
% 53.89/34.06 tff(10617,plain,
% 53.89/34.06 (v100(constB36)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[7579, 10616])).
% 53.89/34.06 tff(10618,plain,
% 53.89/34.06 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB35)) | (~v130(constB35, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB35)) | (~v130(constB35, 2)))),
% 53.89/34.06 inference(rewrite,[status(thm)],[])).
% 53.89/34.06 tff(10619,plain,
% 53.89/34.06 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB35)) | (~v130(constB35, 2)))),
% 53.89/34.06 inference(quant_inst,[status(thm)],[])).
% 53.89/34.06 tff(10620,plain,
% 53.89/34.06 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB35)) | (~v130(constB35, 2))),
% 53.89/34.06 inference(modus_ponens,[status(thm)],[10619, 10618])).
% 53.89/34.06 tff(10621,plain,
% 53.89/34.06 (~v130(constB35, 2)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[10620, 1523, 10580])).
% 53.89/34.06 tff(10622,plain,
% 53.89/34.06 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB35, 2)) | v26(constB35) | v130(constB35, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB35, 2)) | v26(constB35) | v130(constB35, 2))),
% 53.89/34.06 inference(rewrite,[status(thm)],[])).
% 53.89/34.06 tff(10623,plain,
% 53.89/34.06 ((v26(constB35) | v130(constB35, 2) | (~v127(constB35, 2))) <=> ((~v127(constB35, 2)) | v26(constB35) | v130(constB35, 2))),
% 53.89/34.06 inference(rewrite,[status(thm)],[])).
% 53.89/34.06 tff(10624,plain,
% 53.89/34.06 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB35) | v130(constB35, 2) | (~v127(constB35, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB35, 2)) | v26(constB35) | v130(constB35, 2)))),
% 53.89/34.06 inference(monotonicity,[status(thm)],[10623])).
% 53.89/34.06 tff(10625,plain,
% 53.89/34.06 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB35) | v130(constB35, 2) | (~v127(constB35, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB35, 2)) | v26(constB35) | v130(constB35, 2))),
% 53.89/34.06 inference(transitivity,[status(thm)],[10624, 10622])).
% 53.89/34.06 tff(10626,plain,
% 53.89/34.06 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB35) | v130(constB35, 2) | (~v127(constB35, 2)))),
% 53.89/34.06 inference(quant_inst,[status(thm)],[])).
% 53.89/34.06 tff(10627,plain,
% 53.89/34.06 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB35, 2)) | v26(constB35) | v130(constB35, 2)),
% 53.89/34.06 inference(modus_ponens,[status(thm)],[10626, 10625])).
% 53.89/34.06 tff(10628,plain,
% 53.89/34.06 ((~v127(constB35, 2)) | v130(constB35, 2)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[10627, 1190, 7531])).
% 53.89/34.06 tff(10629,plain,
% 53.89/34.06 (~v127(constB35, 2)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[10628, 10621])).
% 53.89/34.06 tff(10630,plain,
% 53.89/34.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB35, constB36)) | v127(constB35, 2) | (~v129(constB36, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB35, constB36)) | v127(constB35, 2) | (~v129(constB36, 2)))),
% 53.89/34.06 inference(rewrite,[status(thm)],[])).
% 53.89/34.06 tff(10631,plain,
% 53.89/34.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB35, constB36)) | v127(constB35, 2) | (~v129(constB36, 2)))),
% 53.89/34.06 inference(quant_inst,[status(thm)],[])).
% 53.89/34.06 tff(10632,plain,
% 53.89/34.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB35, constB36)) | v127(constB35, 2) | (~v129(constB36, 2))),
% 53.89/34.06 inference(modus_ponens,[status(thm)],[10631, 10630])).
% 53.89/34.06 tff(10633,plain,
% 53.89/34.06 (v127(constB35, 2) | (~v129(constB36, 2))),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[10632, 1208, 7546])).
% 53.89/34.06 tff(10634,plain,
% 53.89/34.06 (~v129(constB36, 2)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[10633, 10629])).
% 53.89/34.06 tff(10635,plain,
% 53.89/34.06 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB36, 2)) | v129(constB36, 2) | (~v100(constB36)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB36, 2)) | v129(constB36, 2) | (~v100(constB36)))),
% 53.89/34.06 inference(rewrite,[status(thm)],[])).
% 53.89/34.06 tff(10636,plain,
% 53.89/34.06 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB36, 2)) | v129(constB36, 2) | (~v100(constB36)))),
% 53.89/34.06 inference(quant_inst,[status(thm)],[])).
% 53.89/34.06 tff(10637,plain,
% 53.89/34.06 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB36, 2)) | v129(constB36, 2) | (~v100(constB36))),
% 53.89/34.06 inference(modus_ponens,[status(thm)],[10636, 10635])).
% 53.89/34.06 tff(10638,plain,
% 53.89/34.06 ((~v90(constB36, 2)) | (~v100(constB36))),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[10637, 1223, 10634])).
% 53.89/34.06 tff(10639,plain,
% 53.89/34.06 (~v90(constB36, 2)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[10638, 10617])).
% 53.89/34.06 tff(10640,plain,
% 53.89/34.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB36, 2) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB36, 2) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, 2)))),
% 53.89/34.06 inference(rewrite,[status(thm)],[])).
% 53.89/34.06 tff(10641,plain,
% 53.89/34.06 (((~nextState(constB36, constB37)) | v90(constB36, 2) | v100(constB37) | (~v90(constB37, 2))) <=> (v90(constB36, 2) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, 2)))),
% 53.89/34.06 inference(rewrite,[status(thm)],[])).
% 53.89/34.06 tff(10642,plain,
% 53.89/34.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB36, constB37)) | v90(constB36, 2) | v100(constB37) | (~v90(constB37, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB36, 2) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, 2))))),
% 53.89/34.06 inference(monotonicity,[status(thm)],[10641])).
% 53.89/34.06 tff(10643,plain,
% 53.89/34.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB36, constB37)) | v90(constB36, 2) | v100(constB37) | (~v90(constB37, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB36, 2) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, 2)))),
% 53.89/34.06 inference(transitivity,[status(thm)],[10642, 10640])).
% 53.89/34.06 tff(10644,plain,
% 53.89/34.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB36, constB37)) | v90(constB36, 2) | v100(constB37) | (~v90(constB37, 2)))),
% 53.89/34.06 inference(quant_inst,[status(thm)],[])).
% 53.89/34.06 tff(10645,plain,
% 53.89/34.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB36, 2) | (~nextState(constB36, constB37)) | v100(constB37) | (~v90(constB37, 2))),
% 53.89/34.06 inference(modus_ponens,[status(thm)],[10644, 10643])).
% 53.89/34.06 tff(10646,plain,
% 53.89/34.06 (v90(constB36, 2) | v100(constB37) | (~v90(constB37, 2))),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[10645, 905, 7608])).
% 53.89/34.06 tff(10647,plain,
% 53.89/34.06 (v90(constB36, 2) | (~v90(constB37, 2))),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[10646, 7620])).
% 53.89/34.06 tff(10648,plain,
% 53.89/34.06 (~v90(constB37, 2)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[10647, 10639])).
% 53.89/34.06 tff(10649,plain,
% 53.89/34.06 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB35)) | v130(constB35, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB35)) | v130(constB35, 1))),
% 53.89/34.06 inference(rewrite,[status(thm)],[])).
% 53.89/34.06 tff(10650,plain,
% 53.89/34.06 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB35)) | v130(constB35, 1))),
% 53.89/34.06 inference(quant_inst,[status(thm)],[])).
% 53.89/34.06 tff(10651,plain,
% 53.89/34.06 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB35)) | v130(constB35, 1)),
% 53.89/34.06 inference(modus_ponens,[status(thm)],[10650, 10649])).
% 53.89/34.06 tff(10652,plain,
% 53.89/34.06 (v130(constB35, 1)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[10651, 1579, 10580])).
% 53.89/34.06 tff(10653,plain,
% 53.89/34.06 (v127(constB35, 1)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[7637, 10652])).
% 53.89/34.06 tff(10654,plain,
% 53.89/34.06 (v129(constB36, 1)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[7642, 10653])).
% 53.89/34.06 tff(10655,plain,
% 53.89/34.06 (v90(constB36, 1) | (~v100(constB36))),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[7649, 1623, 10654])).
% 53.89/34.06 tff(10656,plain,
% 53.89/34.06 (v90(constB36, 1)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[10655, 10617])).
% 53.89/34.06 tff(10657,plain,
% 53.89/34.06 (v90(constB37, 1)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[7659, 10656])).
% 53.89/34.06 tff(10658,plain,
% 53.89/34.06 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB35)) | (~v130(constB35, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB35)) | (~v130(constB35, 0)))),
% 53.89/34.06 inference(rewrite,[status(thm)],[])).
% 53.89/34.06 tff(10659,plain,
% 53.89/34.06 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB35)) | (~v130(constB35, 0)))),
% 53.89/34.06 inference(quant_inst,[status(thm)],[])).
% 53.89/34.06 tff(10660,plain,
% 53.89/34.06 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB35)) | (~v130(constB35, 0))),
% 53.89/34.06 inference(modus_ponens,[status(thm)],[10659, 10658])).
% 53.89/34.06 tff(10661,plain,
% 53.89/34.06 (~v130(constB35, 0)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[10660, 1657, 10580])).
% 53.89/34.06 tff(10662,plain,
% 53.89/34.06 (~v127(constB35, 0)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[7671, 10661])).
% 53.89/34.06 tff(10663,plain,
% 53.89/34.06 (~v129(constB36, 0)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[7676, 10662])).
% 53.89/34.06 tff(10664,plain,
% 53.89/34.06 ((~v90(constB36, 0)) | (~v100(constB36))),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[7683, 1704, 10663])).
% 53.89/34.06 tff(10665,plain,
% 53.89/34.06 (~v90(constB36, 0)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[10664, 10617])).
% 53.89/34.06 tff(10666,plain,
% 53.89/34.06 (~v90(constB37, 0)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[7693, 10665])).
% 53.89/34.06 tff(10667,plain,
% 53.89/34.06 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB37, 0) | (~v90(constB37, 1)) | v90(constB37, 2) | v121(constB37))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB37, 0) | (~v90(constB37, 1)) | v90(constB37, 2) | v121(constB37))),
% 53.89/34.06 inference(rewrite,[status(thm)],[])).
% 53.89/34.06 tff(10668,plain,
% 53.89/34.06 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB37, 0) | (~v90(constB37, 1)) | v90(constB37, 2) | v121(constB37))),
% 53.89/34.06 inference(quant_inst,[status(thm)],[])).
% 53.89/34.06 tff(10669,plain,
% 53.89/34.06 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB37, 0) | (~v90(constB37, 1)) | v90(constB37, 2) | v121(constB37)),
% 53.89/34.06 inference(modus_ponens,[status(thm)],[10668, 10667])).
% 53.89/34.06 tff(10670,plain,
% 53.89/34.06 (v121(constB37)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[10669, 1731, 10666, 10657, 10648])).
% 53.89/34.06 tff(10671,plain,
% 53.89/34.06 (v100(constB38)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[10577, 10666, 10530])).
% 53.89/34.06 tff(10672,plain,
% 53.89/34.06 (v129(constB38, 2)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[10518, 10671])).
% 53.89/34.06 tff(10673,plain,
% 53.89/34.06 (v127(constB37, 2)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[7892, 10672])).
% 53.89/34.06 tff(10674,plain,
% 53.89/34.06 (v130(constB37, 2)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[7887, 10673])).
% 53.89/34.06 tff(10675,plain,
% 53.89/34.06 ($false),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[10528, 1821, 10674, 10670])).
% 53.89/34.06 tff(10676,plain,((~v120(constB35)) | (~v90(constB38, 2)) | (~v90(constB38, 0))), inference(lemma,lemma(discharge,[]))).
% 53.89/34.06 tff(10677,plain,
% 53.89/34.06 (~v120(constB35)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[10676, 10515, 10200])).
% 53.89/34.06 tff(10678,plain,
% 53.89/34.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB37, 2) | (~nextState(constB37, constB38)) | v100(constB38) | (~v90(constB38, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB37, 2) | (~nextState(constB37, constB38)) | v100(constB38) | (~v90(constB38, 2)))),
% 53.89/34.06 inference(rewrite,[status(thm)],[])).
% 53.89/34.06 tff(10679,plain,
% 53.89/34.06 (((~nextState(constB37, constB38)) | v90(constB37, 2) | v100(constB38) | (~v90(constB38, 2))) <=> (v90(constB37, 2) | (~nextState(constB37, constB38)) | v100(constB38) | (~v90(constB38, 2)))),
% 53.89/34.06 inference(rewrite,[status(thm)],[])).
% 53.89/34.06 tff(10680,plain,
% 53.89/34.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB37, constB38)) | v90(constB37, 2) | v100(constB38) | (~v90(constB38, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB37, 2) | (~nextState(constB37, constB38)) | v100(constB38) | (~v90(constB38, 2))))),
% 53.89/34.06 inference(monotonicity,[status(thm)],[10679])).
% 53.89/34.06 tff(10681,plain,
% 53.89/34.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB37, constB38)) | v90(constB37, 2) | v100(constB38) | (~v90(constB38, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB37, 2) | (~nextState(constB37, constB38)) | v100(constB38) | (~v90(constB38, 2)))),
% 53.89/34.06 inference(transitivity,[status(thm)],[10680, 10678])).
% 53.89/34.06 tff(10682,plain,
% 53.89/34.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB37, constB38)) | v90(constB37, 2) | v100(constB38) | (~v90(constB38, 2)))),
% 53.89/34.06 inference(quant_inst,[status(thm)],[])).
% 53.89/34.06 tff(10683,plain,
% 53.89/34.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB37, 2) | (~nextState(constB37, constB38)) | v100(constB38) | (~v90(constB38, 2))),
% 53.89/34.06 inference(modus_ponens,[status(thm)],[10682, 10681])).
% 53.89/34.06 tff(10684,plain,
% 53.89/34.06 (v90(constB37, 2) | v100(constB38) | (~v90(constB38, 2))),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[10683, 905, 7727])).
% 53.89/34.06 tff(10685,plain,
% 53.89/34.06 (v90(constB37, 2)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[10684, 10553, 10200])).
% 53.89/34.06 tff(10686,plain,
% 53.89/34.06 (v90(constB36, 2)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[10647, 10685])).
% 53.89/34.06 tff(10687,assumption,(v100(constB36)), introduced(assumption)).
% 53.89/34.06 tff(10688,assumption,(v90(constB36, 0)), introduced(assumption)).
% 53.89/34.06 tff(10689,plain,
% 53.89/34.06 (v129(constB36, 0) | (~v100(constB36))),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[7683, 1704, 10688])).
% 53.89/34.06 tff(10690,plain,
% 53.89/34.06 (v129(constB36, 0)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[10689, 10687])).
% 53.89/34.06 tff(10691,plain,
% 53.89/34.06 (v127(constB35, 0)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[7676, 10690])).
% 53.89/34.06 tff(10692,plain,
% 53.89/34.06 (v130(constB35, 0)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[7671, 10691])).
% 53.89/34.06 tff(10693,plain,
% 53.89/34.06 (~v124(constB35)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[7663, 3274, 10692])).
% 53.89/34.06 tff(10694,assumption,(v90(constB36, 1)), introduced(assumption)).
% 53.89/34.06 tff(10695,plain,
% 53.89/34.06 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB36, 1)) | v129(constB36, 1) | (~v100(constB36)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB36, 1)) | v129(constB36, 1) | (~v100(constB36)))),
% 53.89/34.06 inference(rewrite,[status(thm)],[])).
% 53.89/34.06 tff(10696,plain,
% 53.89/34.06 (((~v90(constB36, 1)) | (~v100(constB36)) | v129(constB36, 1)) <=> ((~v90(constB36, 1)) | v129(constB36, 1) | (~v100(constB36)))),
% 53.89/34.06 inference(rewrite,[status(thm)],[])).
% 53.89/34.06 tff(10697,plain,
% 53.89/34.06 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB36, 1)) | (~v100(constB36)) | v129(constB36, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB36, 1)) | v129(constB36, 1) | (~v100(constB36))))),
% 53.89/34.06 inference(monotonicity,[status(thm)],[10696])).
% 53.89/34.06 tff(10698,plain,
% 53.89/34.06 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB36, 1)) | (~v100(constB36)) | v129(constB36, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB36, 1)) | v129(constB36, 1) | (~v100(constB36)))),
% 53.89/34.06 inference(transitivity,[status(thm)],[10697, 10695])).
% 53.89/34.06 tff(10699,plain,
% 53.89/34.06 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB36, 1)) | (~v100(constB36)) | v129(constB36, 1))),
% 53.89/34.06 inference(quant_inst,[status(thm)],[])).
% 53.89/34.06 tff(10700,plain,
% 53.89/34.06 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB36, 1)) | v129(constB36, 1) | (~v100(constB36))),
% 53.89/34.06 inference(modus_ponens,[status(thm)],[10699, 10698])).
% 53.89/34.06 tff(10701,plain,
% 53.89/34.06 (v129(constB36, 1) | (~v100(constB36))),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[10700, 1309, 10694])).
% 53.89/34.06 tff(10702,plain,
% 53.89/34.06 (v129(constB36, 1)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[10701, 10687])).
% 53.89/34.06 tff(10703,plain,
% 53.89/34.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB35, constB36)) | v127(constB35, 1) | (~v129(constB36, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB35, constB36)) | v127(constB35, 1) | (~v129(constB36, 1)))),
% 53.89/34.06 inference(rewrite,[status(thm)],[])).
% 53.89/34.06 tff(10704,plain,
% 53.89/34.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB35, constB36)) | v127(constB35, 1) | (~v129(constB36, 1)))),
% 53.89/34.06 inference(quant_inst,[status(thm)],[])).
% 53.89/34.06 tff(10705,plain,
% 53.89/34.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB35, constB36)) | v127(constB35, 1) | (~v129(constB36, 1))),
% 53.89/34.06 inference(modus_ponens,[status(thm)],[10704, 10703])).
% 53.89/34.06 tff(10706,plain,
% 53.89/34.06 (v127(constB35, 1) | (~v129(constB36, 1))),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[10705, 1294, 7546])).
% 53.89/34.06 tff(10707,plain,
% 53.89/34.06 (v127(constB35, 1)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[10706, 10702])).
% 53.89/34.06 tff(10708,plain,
% 53.89/34.06 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB35, 1)) | v26(constB35) | v130(constB35, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB35, 1)) | v26(constB35) | v130(constB35, 1))),
% 53.89/34.06 inference(rewrite,[status(thm)],[])).
% 53.89/34.06 tff(10709,plain,
% 53.89/34.06 ((v26(constB35) | v130(constB35, 1) | (~v127(constB35, 1))) <=> ((~v127(constB35, 1)) | v26(constB35) | v130(constB35, 1))),
% 53.89/34.06 inference(rewrite,[status(thm)],[])).
% 53.89/34.06 tff(10710,plain,
% 53.89/34.06 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB35) | v130(constB35, 1) | (~v127(constB35, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB35, 1)) | v26(constB35) | v130(constB35, 1)))),
% 53.89/34.06 inference(monotonicity,[status(thm)],[10709])).
% 53.89/34.06 tff(10711,plain,
% 53.89/34.06 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB35) | v130(constB35, 1) | (~v127(constB35, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB35, 1)) | v26(constB35) | v130(constB35, 1))),
% 53.89/34.06 inference(transitivity,[status(thm)],[10710, 10708])).
% 53.89/34.06 tff(10712,plain,
% 53.89/34.06 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB35) | v130(constB35, 1) | (~v127(constB35, 1)))),
% 53.89/34.06 inference(quant_inst,[status(thm)],[])).
% 53.89/34.06 tff(10713,plain,
% 53.89/34.06 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB35, 1)) | v26(constB35) | v130(constB35, 1)),
% 53.89/34.06 inference(modus_ponens,[status(thm)],[10712, 10711])).
% 53.89/34.06 tff(10714,plain,
% 53.89/34.06 ((~v127(constB35, 1)) | v130(constB35, 1)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[10713, 1276, 7531])).
% 53.89/34.06 tff(10715,plain,
% 53.89/34.06 (v130(constB35, 1)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[10714, 10707])).
% 53.89/34.06 tff(10716,plain,
% 53.89/34.06 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB35)) | (~v130(constB35, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB35)) | (~v130(constB35, 1)))),
% 53.89/34.06 inference(rewrite,[status(thm)],[])).
% 53.89/34.06 tff(10717,plain,
% 53.89/34.06 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB35)) | (~v130(constB35, 1)))),
% 53.89/34.06 inference(quant_inst,[status(thm)],[])).
% 53.89/34.06 tff(10718,plain,
% 53.89/34.06 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB35)) | (~v130(constB35, 1))),
% 53.89/34.06 inference(modus_ponens,[status(thm)],[10717, 10716])).
% 53.89/34.06 tff(10719,plain,
% 53.89/34.06 (~v123(constB35)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[10718, 2581, 10715])).
% 53.89/34.06 tff(10720,plain,
% 53.89/34.06 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB35)) | (~v130(constB35, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB35)) | (~v130(constB35, 0)))),
% 53.89/34.06 inference(rewrite,[status(thm)],[])).
% 53.89/34.06 tff(10721,plain,
% 53.89/34.06 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB35)) | (~v130(constB35, 0)))),
% 53.89/34.06 inference(quant_inst,[status(thm)],[])).
% 53.89/34.06 tff(10722,plain,
% 53.89/34.06 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB35)) | (~v130(constB35, 0))),
% 53.89/34.06 inference(modus_ponens,[status(thm)],[10721, 10720])).
% 53.89/34.06 tff(10723,plain,
% 53.89/34.06 (~v122(constB35)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[10722, 2407, 10692])).
% 53.89/34.06 tff(10724,assumption,(~v120(constB35)), introduced(assumption)).
% 53.89/34.06 tff(10725,plain,
% 53.89/34.06 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB35)) | (~v130(constB35, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB35)) | (~v130(constB35, 1)))),
% 53.89/34.06 inference(rewrite,[status(thm)],[])).
% 53.89/34.06 tff(10726,plain,
% 53.89/34.06 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB35)) | (~v130(constB35, 1)))),
% 53.89/34.06 inference(quant_inst,[status(thm)],[])).
% 53.89/34.06 tff(10727,plain,
% 53.89/34.06 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB35)) | (~v130(constB35, 1))),
% 53.89/34.06 inference(modus_ponens,[status(thm)],[10726, 10725])).
% 53.89/34.06 tff(10728,plain,
% 53.89/34.06 (~v119(constB35)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[10727, 1262, 10715])).
% 53.89/34.06 tff(10729,assumption,(v90(constB36, 2)), introduced(assumption)).
% 53.89/34.06 tff(10730,plain,
% 53.89/34.06 (v129(constB36, 2) | (~v100(constB36))),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[10637, 1223, 10729])).
% 53.89/34.06 tff(10731,plain,
% 53.89/34.06 (v129(constB36, 2)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[10730, 10687])).
% 53.89/34.06 tff(10732,plain,
% 53.89/34.06 (v127(constB35, 2)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[10633, 10731])).
% 53.89/34.06 tff(10733,plain,
% 53.89/34.06 (v130(constB35, 2)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[10628, 10732])).
% 53.89/34.06 tff(10734,plain,
% 53.89/34.06 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB35) | v120(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | (~v130(constB35, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB35) | v120(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | (~v130(constB35, 2)))),
% 53.89/34.06 inference(rewrite,[status(thm)],[])).
% 53.89/34.06 tff(10735,plain,
% 53.89/34.06 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB35) | v120(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | (~v130(constB35, 2)))),
% 53.89/34.06 inference(quant_inst,[status(thm)],[])).
% 53.89/34.06 tff(10736,plain,
% 53.89/34.06 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB35) | v120(constB35) | v121(constB35) | v122(constB35) | v123(constB35) | v124(constB35) | (~v130(constB35, 2))),
% 53.89/34.06 inference(modus_ponens,[status(thm)],[10735, 10734])).
% 53.89/34.06 tff(10737,plain,
% 53.89/34.06 (v121(constB35)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[10736, 2904, 10733, 10728, 10724, 10723, 10719, 10693])).
% 53.89/34.06 tff(10738,plain,
% 53.89/34.06 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB35)) | (~v130(constB35, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB35)) | (~v130(constB35, 2)))),
% 53.89/34.06 inference(rewrite,[status(thm)],[])).
% 53.89/34.06 tff(10739,plain,
% 53.89/34.06 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB35)) | (~v130(constB35, 2)))),
% 53.89/34.06 inference(quant_inst,[status(thm)],[])).
% 53.89/34.06 tff(10740,plain,
% 53.89/34.06 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB35)) | (~v130(constB35, 2))),
% 53.89/34.06 inference(modus_ponens,[status(thm)],[10739, 10738])).
% 53.89/34.06 tff(10741,plain,
% 53.89/34.06 ($false),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[10740, 1821, 10733, 10737])).
% 53.89/34.06 tff(10742,plain,((~v100(constB36)) | v120(constB35) | (~v90(constB36, 2)) | (~v90(constB36, 1)) | (~v90(constB36, 0))), inference(lemma,lemma(discharge,[]))).
% 53.89/34.06 tff(10743,plain,
% 53.89/34.06 (~v100(constB36)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[10742, 10686, 10677, 10579, 10570])).
% 53.89/34.06 tff(10744,plain,
% 53.89/34.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB35, 2) | (~nextState(constB35, constB36)) | v100(constB36) | (~v90(constB36, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB35, 2) | (~nextState(constB35, constB36)) | v100(constB36) | (~v90(constB36, 2)))),
% 53.89/34.06 inference(rewrite,[status(thm)],[])).
% 53.89/34.06 tff(10745,plain,
% 53.89/34.06 (((~nextState(constB35, constB36)) | v90(constB35, 2) | v100(constB36) | (~v90(constB36, 2))) <=> (v90(constB35, 2) | (~nextState(constB35, constB36)) | v100(constB36) | (~v90(constB36, 2)))),
% 53.89/34.06 inference(rewrite,[status(thm)],[])).
% 53.89/34.06 tff(10746,plain,
% 53.89/34.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB35, constB36)) | v90(constB35, 2) | v100(constB36) | (~v90(constB36, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB35, 2) | (~nextState(constB35, constB36)) | v100(constB36) | (~v90(constB36, 2))))),
% 53.89/34.06 inference(monotonicity,[status(thm)],[10745])).
% 53.89/34.06 tff(10747,plain,
% 53.89/34.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB35, constB36)) | v90(constB35, 2) | v100(constB36) | (~v90(constB36, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB35, 2) | (~nextState(constB35, constB36)) | v100(constB36) | (~v90(constB36, 2)))),
% 53.89/34.06 inference(transitivity,[status(thm)],[10746, 10744])).
% 53.89/34.06 tff(10748,plain,
% 53.89/34.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB35, constB36)) | v90(constB35, 2) | v100(constB36) | (~v90(constB36, 2)))),
% 53.89/34.06 inference(quant_inst,[status(thm)],[])).
% 53.89/34.06 tff(10749,plain,
% 53.89/34.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB35, 2) | (~nextState(constB35, constB36)) | v100(constB36) | (~v90(constB36, 2))),
% 53.89/34.06 inference(modus_ponens,[status(thm)],[10748, 10747])).
% 53.89/34.06 tff(10750,plain,
% 53.89/34.06 (v90(constB35, 2) | v100(constB36) | (~v90(constB36, 2))),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[10749, 905, 7546])).
% 53.89/34.06 tff(10751,plain,
% 53.89/34.06 (v90(constB35, 2)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[10750, 10686, 10743])).
% 53.89/34.06 tff(10752,plain,
% 53.89/34.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB34, 2) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB34, 2) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, 2)))),
% 53.89/34.06 inference(rewrite,[status(thm)],[])).
% 53.89/34.06 tff(10753,plain,
% 53.89/34.06 (((~nextState(constB34, constB35)) | v90(constB34, 2) | v100(constB35) | (~v90(constB35, 2))) <=> (v90(constB34, 2) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, 2)))),
% 53.89/34.06 inference(rewrite,[status(thm)],[])).
% 53.89/34.06 tff(10754,plain,
% 53.89/34.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB34, constB35)) | v90(constB34, 2) | v100(constB35) | (~v90(constB35, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB34, 2) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, 2))))),
% 53.89/34.06 inference(monotonicity,[status(thm)],[10753])).
% 53.89/34.06 tff(10755,plain,
% 53.89/34.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB34, constB35)) | v90(constB34, 2) | v100(constB35) | (~v90(constB35, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB34, 2) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, 2)))),
% 53.89/34.06 inference(transitivity,[status(thm)],[10754, 10752])).
% 53.89/34.06 tff(10756,plain,
% 53.89/34.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB34, constB35)) | v90(constB34, 2) | v100(constB35) | (~v90(constB35, 2)))),
% 53.89/34.06 inference(quant_inst,[status(thm)],[])).
% 53.89/34.06 tff(10757,plain,
% 53.89/34.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB34, 2) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, 2))),
% 53.89/34.06 inference(modus_ponens,[status(thm)],[10756, 10755])).
% 53.89/34.06 tff(10758,plain,
% 53.89/34.06 (v90(constB34, 2) | v100(constB35) | (~v90(constB35, 2))),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[10757, 905, 7422])).
% 53.89/34.06 tff(10759,plain,
% 53.89/34.06 (v90(constB34, 2) | (~v90(constB35, 2))),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[10758, 7434])).
% 53.89/34.06 tff(10760,plain,
% 53.89/34.06 (v90(constB34, 2)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[10759, 10751])).
% 53.89/34.06 tff(10761,plain,
% 53.89/34.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB35, 0) | (~nextState(constB35, constB36)) | v100(constB36) | (~v90(constB36, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB35, 0) | (~nextState(constB35, constB36)) | v100(constB36) | (~v90(constB36, 0)))),
% 53.89/34.06 inference(rewrite,[status(thm)],[])).
% 53.89/34.06 tff(10762,plain,
% 53.89/34.06 (((~nextState(constB35, constB36)) | v90(constB35, 0) | v100(constB36) | (~v90(constB36, 0))) <=> (v90(constB35, 0) | (~nextState(constB35, constB36)) | v100(constB36) | (~v90(constB36, 0)))),
% 53.89/34.06 inference(rewrite,[status(thm)],[])).
% 53.89/34.06 tff(10763,plain,
% 53.89/34.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB35, constB36)) | v90(constB35, 0) | v100(constB36) | (~v90(constB36, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB35, 0) | (~nextState(constB35, constB36)) | v100(constB36) | (~v90(constB36, 0))))),
% 53.89/34.06 inference(monotonicity,[status(thm)],[10762])).
% 53.89/34.06 tff(10764,plain,
% 53.89/34.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB35, constB36)) | v90(constB35, 0) | v100(constB36) | (~v90(constB36, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB35, 0) | (~nextState(constB35, constB36)) | v100(constB36) | (~v90(constB36, 0)))),
% 53.89/34.06 inference(transitivity,[status(thm)],[10763, 10761])).
% 53.89/34.06 tff(10765,plain,
% 53.89/34.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB35, constB36)) | v90(constB35, 0) | v100(constB36) | (~v90(constB36, 0)))),
% 53.89/34.06 inference(quant_inst,[status(thm)],[])).
% 53.89/34.06 tff(10766,plain,
% 53.89/34.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB35, 0) | (~nextState(constB35, constB36)) | v100(constB36) | (~v90(constB36, 0))),
% 53.89/34.06 inference(modus_ponens,[status(thm)],[10765, 10764])).
% 53.89/34.06 tff(10767,plain,
% 53.89/34.06 (v90(constB35, 0) | v100(constB36) | (~v90(constB36, 0))),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[10766, 947, 7546])).
% 53.89/34.06 tff(10768,plain,
% 53.89/34.06 (v90(constB35, 0)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[10767, 10743, 10579])).
% 53.89/34.06 tff(10769,plain,
% 53.89/34.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB34, 0) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB34, 0) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, 0)))),
% 53.89/34.06 inference(rewrite,[status(thm)],[])).
% 53.89/34.06 tff(10770,plain,
% 53.89/34.06 (((~nextState(constB34, constB35)) | v90(constB34, 0) | v100(constB35) | (~v90(constB35, 0))) <=> (v90(constB34, 0) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, 0)))),
% 53.89/34.06 inference(rewrite,[status(thm)],[])).
% 53.89/34.06 tff(10771,plain,
% 53.89/34.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB34, constB35)) | v90(constB34, 0) | v100(constB35) | (~v90(constB35, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB34, 0) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, 0))))),
% 53.89/34.06 inference(monotonicity,[status(thm)],[10770])).
% 53.89/34.06 tff(10772,plain,
% 53.89/34.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB34, constB35)) | v90(constB34, 0) | v100(constB35) | (~v90(constB35, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB34, 0) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, 0)))),
% 53.89/34.06 inference(transitivity,[status(thm)],[10771, 10769])).
% 53.89/34.06 tff(10773,plain,
% 53.89/34.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB34, constB35)) | v90(constB34, 0) | v100(constB35) | (~v90(constB35, 0)))),
% 53.89/34.06 inference(quant_inst,[status(thm)],[])).
% 53.89/34.06 tff(10774,plain,
% 53.89/34.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB34, 0) | (~nextState(constB34, constB35)) | v100(constB35) | (~v90(constB35, 0))),
% 53.89/34.06 inference(modus_ponens,[status(thm)],[10773, 10772])).
% 53.89/34.06 tff(10775,plain,
% 53.89/34.06 (v90(constB34, 0) | v100(constB35) | (~v90(constB35, 0))),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[10774, 947, 7422])).
% 53.89/34.06 tff(10776,plain,
% 53.89/34.06 (v90(constB34, 0) | (~v90(constB35, 0))),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[10775, 7434])).
% 53.89/34.06 tff(10777,plain,
% 53.89/34.06 (v90(constB34, 0)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[10776, 10768])).
% 53.89/34.06 tff(10778,plain,
% 53.89/34.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB35, 1) | (~nextState(constB35, constB36)) | v100(constB36) | (~v90(constB36, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB35, 1) | (~nextState(constB35, constB36)) | v100(constB36) | (~v90(constB36, 1)))),
% 53.89/34.06 inference(rewrite,[status(thm)],[])).
% 53.89/34.06 tff(10779,plain,
% 53.89/34.06 (((~nextState(constB35, constB36)) | v90(constB35, 1) | v100(constB36) | (~v90(constB36, 1))) <=> (v90(constB35, 1) | (~nextState(constB35, constB36)) | v100(constB36) | (~v90(constB36, 1)))),
% 53.89/34.06 inference(rewrite,[status(thm)],[])).
% 53.89/34.06 tff(10780,plain,
% 53.89/34.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB35, constB36)) | v90(constB35, 1) | v100(constB36) | (~v90(constB36, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB35, 1) | (~nextState(constB35, constB36)) | v100(constB36) | (~v90(constB36, 1))))),
% 53.89/34.06 inference(monotonicity,[status(thm)],[10779])).
% 53.89/34.06 tff(10781,plain,
% 53.89/34.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB35, constB36)) | v90(constB35, 1) | v100(constB36) | (~v90(constB36, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB35, 1) | (~nextState(constB35, constB36)) | v100(constB36) | (~v90(constB36, 1)))),
% 53.89/34.06 inference(transitivity,[status(thm)],[10780, 10778])).
% 53.89/34.06 tff(10782,plain,
% 53.89/34.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB35, constB36)) | v90(constB35, 1) | v100(constB36) | (~v90(constB36, 1)))),
% 53.89/34.06 inference(quant_inst,[status(thm)],[])).
% 53.89/34.06 tff(10783,plain,
% 53.89/34.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB35, 1) | (~nextState(constB35, constB36)) | v100(constB36) | (~v90(constB36, 1))),
% 53.89/34.06 inference(modus_ponens,[status(thm)],[10782, 10781])).
% 53.89/34.06 tff(10784,plain,
% 53.89/34.06 (v90(constB35, 1) | v100(constB36) | (~v90(constB36, 1))),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[10783, 926, 7546])).
% 53.89/34.06 tff(10785,plain,
% 53.89/34.06 (v90(constB35, 1)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[10784, 10743, 10570])).
% 53.89/34.06 tff(10786,plain,
% 53.89/34.06 (v90(constB34, 1)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[7507, 10785])).
% 53.89/34.06 tff(10787,assumption,(v100(constB34)), introduced(assumption)).
% 53.89/34.06 tff(10788,assumption,(v90(constB34, 1)), introduced(assumption)).
% 53.89/34.06 tff(10789,plain,
% 53.89/34.06 (v129(constB34, 1) | (~v100(constB34))),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[7497, 1309, 10788])).
% 53.89/34.06 tff(10790,plain,
% 53.89/34.06 (v129(constB34, 1)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[10789, 10787])).
% 53.89/34.06 tff(10791,plain,
% 53.89/34.06 (v127(constB33, 1)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[7490, 10790])).
% 53.89/34.06 tff(10792,plain,
% 53.89/34.06 (v130(constB33, 1)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[7485, 10791])).
% 53.89/34.06 tff(10793,plain,
% 53.89/34.06 (~v123(constB33)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[7477, 2581, 10792])).
% 53.89/34.06 tff(10794,plain,
% 53.89/34.06 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB33)) | (~v130(constB33, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB33)) | (~v130(constB33, 1)))),
% 53.89/34.06 inference(rewrite,[status(thm)],[])).
% 53.89/34.06 tff(10795,plain,
% 53.89/34.06 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB33)) | (~v130(constB33, 1)))),
% 53.89/34.06 inference(quant_inst,[status(thm)],[])).
% 53.89/34.06 tff(10796,plain,
% 53.89/34.06 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB33)) | (~v130(constB33, 1))),
% 53.89/34.06 inference(modus_ponens,[status(thm)],[10795, 10794])).
% 53.89/34.06 tff(10797,plain,
% 53.89/34.06 (~v122(constB33)),
% 53.89/34.06 inference(unit_resolution,[status(thm)],[10796, 2366, 10792])).
% 53.89/34.06 tff(10798,plain,
% 53.89/34.06 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB33)) | (~v130(constB33, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB33)) | (~v130(constB33, 1)))),
% 53.89/34.06 inference(rewrite,[status(thm)],[])).
% 53.89/34.06 tff(10799,plain,
% 53.89/34.06 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB33)) | (~v130(constB33, 1)))),
% 53.89/34.06 inference(quant_inst,[status(thm)],[])).
% 53.89/34.06 tff(10800,plain,
% 53.89/34.06 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB33)) | (~v130(constB33, 1))),
% 53.89/34.06 inference(modus_ponens,[status(thm)],[10799, 10798])).
% 53.89/34.06 tff(10801,plain,
% 53.89/34.06 (~v119(constB33)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[10800, 1262, 10792])).
% 53.89/34.07 tff(10802,assumption,(v90(constB34, 0)), introduced(assumption)).
% 53.89/34.07 tff(10803,plain,
% 53.89/34.07 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB34, 0)) | v129(constB34, 0) | (~v100(constB34)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB34, 0)) | v129(constB34, 0) | (~v100(constB34)))),
% 53.89/34.07 inference(rewrite,[status(thm)],[])).
% 53.89/34.07 tff(10804,plain,
% 53.89/34.07 (((~v90(constB34, 0)) | (~v100(constB34)) | v129(constB34, 0)) <=> ((~v90(constB34, 0)) | v129(constB34, 0) | (~v100(constB34)))),
% 53.89/34.07 inference(rewrite,[status(thm)],[])).
% 53.89/34.07 tff(10805,plain,
% 53.89/34.07 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB34, 0)) | (~v100(constB34)) | v129(constB34, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB34, 0)) | v129(constB34, 0) | (~v100(constB34))))),
% 53.89/34.07 inference(monotonicity,[status(thm)],[10804])).
% 53.89/34.07 tff(10806,plain,
% 53.89/34.07 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB34, 0)) | (~v100(constB34)) | v129(constB34, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB34, 0)) | v129(constB34, 0) | (~v100(constB34)))),
% 53.89/34.07 inference(transitivity,[status(thm)],[10805, 10803])).
% 53.89/34.07 tff(10807,plain,
% 53.89/34.07 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB34, 0)) | (~v100(constB34)) | v129(constB34, 0))),
% 53.89/34.07 inference(quant_inst,[status(thm)],[])).
% 53.89/34.07 tff(10808,plain,
% 53.89/34.07 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB34, 0)) | v129(constB34, 0) | (~v100(constB34))),
% 53.89/34.07 inference(modus_ponens,[status(thm)],[10807, 10806])).
% 53.89/34.07 tff(10809,plain,
% 53.89/34.07 (v129(constB34, 0) | (~v100(constB34))),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[10808, 1704, 10802])).
% 53.89/34.07 tff(10810,plain,
% 53.89/34.07 (v129(constB34, 0)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[10809, 10787])).
% 53.89/34.07 tff(10811,plain,
% 53.89/34.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB33, constB34)) | v127(constB33, 0) | (~v129(constB34, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB33, constB34)) | v127(constB33, 0) | (~v129(constB34, 0)))),
% 53.89/34.07 inference(rewrite,[status(thm)],[])).
% 53.89/34.07 tff(10812,plain,
% 53.89/34.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB33, constB34)) | v127(constB33, 0) | (~v129(constB34, 0)))),
% 53.89/34.07 inference(quant_inst,[status(thm)],[])).
% 53.89/34.07 tff(10813,plain,
% 53.89/34.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB33, constB34)) | v127(constB33, 0) | (~v129(constB34, 0))),
% 53.89/34.07 inference(modus_ponens,[status(thm)],[10812, 10811])).
% 53.89/34.07 tff(10814,plain,
% 53.89/34.07 (v127(constB33, 0) | (~v129(constB34, 0))),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[10813, 1689, 7363])).
% 53.89/34.07 tff(10815,plain,
% 53.89/34.07 (v127(constB33, 0)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[10814, 10810])).
% 53.89/34.07 tff(10816,plain,
% 53.89/34.07 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB33, 0)) | v26(constB33) | v130(constB33, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB33, 0)) | v26(constB33) | v130(constB33, 0))),
% 53.89/34.07 inference(rewrite,[status(thm)],[])).
% 53.89/34.07 tff(10817,plain,
% 53.89/34.07 ((v26(constB33) | v130(constB33, 0) | (~v127(constB33, 0))) <=> ((~v127(constB33, 0)) | v26(constB33) | v130(constB33, 0))),
% 53.89/34.07 inference(rewrite,[status(thm)],[])).
% 53.89/34.07 tff(10818,plain,
% 53.89/34.07 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB33) | v130(constB33, 0) | (~v127(constB33, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB33, 0)) | v26(constB33) | v130(constB33, 0)))),
% 53.89/34.07 inference(monotonicity,[status(thm)],[10817])).
% 53.89/34.07 tff(10819,plain,
% 53.89/34.07 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB33) | v130(constB33, 0) | (~v127(constB33, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB33, 0)) | v26(constB33) | v130(constB33, 0))),
% 53.89/34.07 inference(transitivity,[status(thm)],[10818, 10816])).
% 53.89/34.07 tff(10820,plain,
% 53.89/34.07 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB33) | v130(constB33, 0) | (~v127(constB33, 0)))),
% 53.89/34.07 inference(quant_inst,[status(thm)],[])).
% 53.89/34.07 tff(10821,plain,
% 53.89/34.07 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB33, 0)) | v26(constB33) | v130(constB33, 0)),
% 53.89/34.07 inference(modus_ponens,[status(thm)],[10820, 10819])).
% 53.89/34.07 tff(10822,plain,
% 53.89/34.07 ((~v127(constB33, 0)) | v130(constB33, 0)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[10821, 1671, 7348])).
% 53.89/34.07 tff(10823,plain,
% 53.89/34.07 (v130(constB33, 0)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[10822, 10815])).
% 53.89/34.07 tff(10824,plain,
% 53.89/34.07 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB33)) | (~v130(constB33, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB33)) | (~v130(constB33, 0)))),
% 53.89/34.07 inference(rewrite,[status(thm)],[])).
% 53.89/34.07 tff(10825,plain,
% 53.89/34.07 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB33)) | (~v130(constB33, 0)))),
% 53.89/34.07 inference(quant_inst,[status(thm)],[])).
% 53.89/34.07 tff(10826,plain,
% 53.89/34.07 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB33)) | (~v130(constB33, 0))),
% 53.89/34.07 inference(modus_ponens,[status(thm)],[10825, 10824])).
% 53.89/34.07 tff(10827,plain,
% 53.89/34.07 (~v120(constB33)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[10826, 1657, 10823])).
% 53.89/34.07 tff(10828,plain,
% 53.89/34.07 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB33)) | (~v130(constB33, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB33)) | (~v130(constB33, 0)))),
% 53.89/34.07 inference(rewrite,[status(thm)],[])).
% 53.89/34.07 tff(10829,plain,
% 53.89/34.07 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB33)) | (~v130(constB33, 0)))),
% 53.89/34.07 inference(quant_inst,[status(thm)],[])).
% 53.89/34.07 tff(10830,plain,
% 53.89/34.07 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB33)) | (~v130(constB33, 0))),
% 53.89/34.07 inference(modus_ponens,[status(thm)],[10829, 10828])).
% 53.89/34.07 tff(10831,plain,
% 53.89/34.07 (~v124(constB33)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[10830, 3274, 10823])).
% 53.89/34.07 tff(10832,assumption,(v90(constB34, 2)), introduced(assumption)).
% 53.89/34.07 tff(10833,plain,
% 53.89/34.07 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB34, 2)) | v129(constB34, 2) | (~v100(constB34)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB34, 2)) | v129(constB34, 2) | (~v100(constB34)))),
% 53.89/34.07 inference(rewrite,[status(thm)],[])).
% 53.89/34.07 tff(10834,plain,
% 53.89/34.07 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB34, 2)) | v129(constB34, 2) | (~v100(constB34)))),
% 53.89/34.07 inference(quant_inst,[status(thm)],[])).
% 53.89/34.07 tff(10835,plain,
% 53.89/34.07 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB34, 2)) | v129(constB34, 2) | (~v100(constB34))),
% 53.89/34.07 inference(modus_ponens,[status(thm)],[10834, 10833])).
% 53.89/34.07 tff(10836,plain,
% 53.89/34.07 (v129(constB34, 2) | (~v100(constB34))),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[10835, 1223, 10832])).
% 53.89/34.07 tff(10837,plain,
% 53.89/34.07 (v129(constB34, 2)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[10836, 10787])).
% 53.89/34.07 tff(10838,plain,
% 53.89/34.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB33, constB34)) | v127(constB33, 2) | (~v129(constB34, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB33, constB34)) | v127(constB33, 2) | (~v129(constB34, 2)))),
% 53.89/34.07 inference(rewrite,[status(thm)],[])).
% 53.89/34.07 tff(10839,plain,
% 53.89/34.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB33, constB34)) | v127(constB33, 2) | (~v129(constB34, 2)))),
% 53.89/34.07 inference(quant_inst,[status(thm)],[])).
% 53.89/34.07 tff(10840,plain,
% 53.89/34.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB33, constB34)) | v127(constB33, 2) | (~v129(constB34, 2))),
% 53.89/34.07 inference(modus_ponens,[status(thm)],[10839, 10838])).
% 53.89/34.07 tff(10841,plain,
% 53.89/34.07 (v127(constB33, 2) | (~v129(constB34, 2))),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[10840, 1208, 7363])).
% 53.89/34.07 tff(10842,plain,
% 53.89/34.07 (v127(constB33, 2)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[10841, 10837])).
% 53.89/34.07 tff(10843,plain,
% 53.89/34.07 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB33, 2)) | v26(constB33) | v130(constB33, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB33, 2)) | v26(constB33) | v130(constB33, 2))),
% 53.89/34.07 inference(rewrite,[status(thm)],[])).
% 53.89/34.07 tff(10844,plain,
% 53.89/34.07 ((v26(constB33) | v130(constB33, 2) | (~v127(constB33, 2))) <=> ((~v127(constB33, 2)) | v26(constB33) | v130(constB33, 2))),
% 53.89/34.07 inference(rewrite,[status(thm)],[])).
% 53.89/34.07 tff(10845,plain,
% 53.89/34.07 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB33) | v130(constB33, 2) | (~v127(constB33, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB33, 2)) | v26(constB33) | v130(constB33, 2)))),
% 53.89/34.07 inference(monotonicity,[status(thm)],[10844])).
% 53.89/34.07 tff(10846,plain,
% 53.89/34.07 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB33) | v130(constB33, 2) | (~v127(constB33, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB33, 2)) | v26(constB33) | v130(constB33, 2))),
% 53.89/34.07 inference(transitivity,[status(thm)],[10845, 10843])).
% 53.89/34.07 tff(10847,plain,
% 53.89/34.07 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB33) | v130(constB33, 2) | (~v127(constB33, 2)))),
% 53.89/34.07 inference(quant_inst,[status(thm)],[])).
% 53.89/34.07 tff(10848,plain,
% 53.89/34.07 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB33, 2)) | v26(constB33) | v130(constB33, 2)),
% 53.89/34.07 inference(modus_ponens,[status(thm)],[10847, 10846])).
% 53.89/34.07 tff(10849,plain,
% 53.89/34.07 ((~v127(constB33, 2)) | v130(constB33, 2)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[10848, 1190, 7348])).
% 53.89/34.07 tff(10850,plain,
% 53.89/34.07 (v130(constB33, 2)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[10849, 10842])).
% 53.89/34.07 tff(10851,plain,
% 53.89/34.07 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB33) | v120(constB33) | v121(constB33) | v122(constB33) | v123(constB33) | v124(constB33) | (~v130(constB33, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB33) | v120(constB33) | v121(constB33) | v122(constB33) | v123(constB33) | v124(constB33) | (~v130(constB33, 2)))),
% 53.89/34.07 inference(rewrite,[status(thm)],[])).
% 53.89/34.07 tff(10852,plain,
% 53.89/34.07 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB33) | v120(constB33) | v121(constB33) | v122(constB33) | v123(constB33) | v124(constB33) | (~v130(constB33, 2)))),
% 53.89/34.07 inference(quant_inst,[status(thm)],[])).
% 53.89/34.07 tff(10853,plain,
% 53.89/34.07 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB33) | v120(constB33) | v121(constB33) | v122(constB33) | v123(constB33) | v124(constB33) | (~v130(constB33, 2))),
% 53.89/34.07 inference(modus_ponens,[status(thm)],[10852, 10851])).
% 53.89/34.07 tff(10854,plain,
% 53.89/34.07 (v121(constB33)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[10853, 2904, 10850, 10831, 10827, 10801, 10797, 10793])).
% 53.89/34.07 tff(10855,plain,
% 53.89/34.07 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB33)) | (~v130(constB33, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB33)) | (~v130(constB33, 2)))),
% 53.89/34.07 inference(rewrite,[status(thm)],[])).
% 53.89/34.07 tff(10856,plain,
% 53.89/34.07 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB33)) | (~v130(constB33, 2)))),
% 53.89/34.07 inference(quant_inst,[status(thm)],[])).
% 53.89/34.07 tff(10857,plain,
% 53.89/34.07 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB33)) | (~v130(constB33, 2))),
% 53.89/34.07 inference(modus_ponens,[status(thm)],[10856, 10855])).
% 53.89/34.07 tff(10858,plain,
% 53.89/34.07 ($false),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[10857, 1821, 10850, 10854])).
% 53.89/34.07 tff(10859,plain,((~v100(constB34)) | (~v90(constB34, 2)) | (~v90(constB34, 0)) | (~v90(constB34, 1))), inference(lemma,lemma(discharge,[]))).
% 53.89/34.07 tff(10860,plain,
% 53.89/34.07 (~v100(constB34)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[10859, 10786, 10760, 10777])).
% 53.89/34.07 tff(10861,plain,
% 53.89/34.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB33, 2) | (~nextState(constB33, constB34)) | v100(constB34) | (~v90(constB34, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB33, 2) | (~nextState(constB33, constB34)) | v100(constB34) | (~v90(constB34, 2)))),
% 53.89/34.07 inference(rewrite,[status(thm)],[])).
% 53.89/34.07 tff(10862,plain,
% 53.89/34.07 (((~nextState(constB33, constB34)) | v90(constB33, 2) | v100(constB34) | (~v90(constB34, 2))) <=> (v90(constB33, 2) | (~nextState(constB33, constB34)) | v100(constB34) | (~v90(constB34, 2)))),
% 53.89/34.07 inference(rewrite,[status(thm)],[])).
% 53.89/34.07 tff(10863,plain,
% 53.89/34.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB33, constB34)) | v90(constB33, 2) | v100(constB34) | (~v90(constB34, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB33, 2) | (~nextState(constB33, constB34)) | v100(constB34) | (~v90(constB34, 2))))),
% 53.89/34.07 inference(monotonicity,[status(thm)],[10862])).
% 53.89/34.07 tff(10864,plain,
% 53.89/34.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB33, constB34)) | v90(constB33, 2) | v100(constB34) | (~v90(constB34, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB33, 2) | (~nextState(constB33, constB34)) | v100(constB34) | (~v90(constB34, 2)))),
% 53.89/34.07 inference(transitivity,[status(thm)],[10863, 10861])).
% 53.89/34.07 tff(10865,plain,
% 53.89/34.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB33, constB34)) | v90(constB33, 2) | v100(constB34) | (~v90(constB34, 2)))),
% 53.89/34.07 inference(quant_inst,[status(thm)],[])).
% 53.89/34.07 tff(10866,plain,
% 53.89/34.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB33, 2) | (~nextState(constB33, constB34)) | v100(constB34) | (~v90(constB34, 2))),
% 53.89/34.07 inference(modus_ponens,[status(thm)],[10865, 10864])).
% 53.89/34.07 tff(10867,plain,
% 53.89/34.07 (v90(constB33, 2) | v100(constB34) | (~v90(constB34, 2))),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[10866, 905, 7363])).
% 53.89/34.07 tff(10868,plain,
% 53.89/34.07 (v90(constB33, 2)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[10867, 10860, 10760])).
% 53.89/34.07 tff(10869,plain,
% 53.89/34.07 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v120(constB33)) | (~v90(constB33, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | (~v120(constB33)) | (~v90(constB33, 2)))),
% 53.89/34.07 inference(rewrite,[status(thm)],[])).
% 53.89/34.07 tff(10870,plain,
% 53.89/34.07 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v120(constB33)) | (~v90(constB33, 2)))),
% 53.89/34.07 inference(quant_inst,[status(thm)],[])).
% 53.89/34.07 tff(10871,plain,
% 53.89/34.07 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | (~v120(constB33)) | (~v90(constB33, 2))),
% 53.89/34.07 inference(modus_ponens,[status(thm)],[10870, 10869])).
% 53.89/34.07 tff(10872,plain,
% 53.89/34.07 (~v120(constB33)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[10871, 3825, 10868])).
% 53.89/34.07 tff(10873,plain,
% 53.89/34.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB33, 1) | (~nextState(constB33, constB34)) | v100(constB34) | (~v90(constB34, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB33, 1) | (~nextState(constB33, constB34)) | v100(constB34) | (~v90(constB34, 1)))),
% 53.89/34.07 inference(rewrite,[status(thm)],[])).
% 53.89/34.07 tff(10874,plain,
% 53.89/34.07 (((~nextState(constB33, constB34)) | v90(constB33, 1) | v100(constB34) | (~v90(constB34, 1))) <=> (v90(constB33, 1) | (~nextState(constB33, constB34)) | v100(constB34) | (~v90(constB34, 1)))),
% 53.89/34.07 inference(rewrite,[status(thm)],[])).
% 53.89/34.07 tff(10875,plain,
% 53.89/34.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB33, constB34)) | v90(constB33, 1) | v100(constB34) | (~v90(constB34, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB33, 1) | (~nextState(constB33, constB34)) | v100(constB34) | (~v90(constB34, 1))))),
% 53.89/34.07 inference(monotonicity,[status(thm)],[10874])).
% 53.89/34.07 tff(10876,plain,
% 53.89/34.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB33, constB34)) | v90(constB33, 1) | v100(constB34) | (~v90(constB34, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB33, 1) | (~nextState(constB33, constB34)) | v100(constB34) | (~v90(constB34, 1)))),
% 53.89/34.07 inference(transitivity,[status(thm)],[10875, 10873])).
% 53.89/34.07 tff(10877,plain,
% 53.89/34.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB33, constB34)) | v90(constB33, 1) | v100(constB34) | (~v90(constB34, 1)))),
% 53.89/34.07 inference(quant_inst,[status(thm)],[])).
% 53.89/34.07 tff(10878,plain,
% 53.89/34.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB33, 1) | (~nextState(constB33, constB34)) | v100(constB34) | (~v90(constB34, 1))),
% 53.89/34.07 inference(modus_ponens,[status(thm)],[10877, 10876])).
% 53.89/34.07 tff(10879,plain,
% 53.89/34.07 (v90(constB33, 1) | v100(constB34) | (~v90(constB34, 1))),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[10878, 926, 7363])).
% 53.89/34.07 tff(10880,plain,
% 53.89/34.07 (v90(constB33, 1)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[10879, 10860, 10786])).
% 53.89/34.07 tff(10881,plain,
% 53.89/34.07 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB33)) | (~v90(constB33, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB33)) | (~v90(constB33, 1)))),
% 53.89/34.07 inference(rewrite,[status(thm)],[])).
% 53.89/34.07 tff(10882,plain,
% 53.89/34.07 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB33)) | (~v90(constB33, 1)))),
% 53.89/34.07 inference(quant_inst,[status(thm)],[])).
% 53.89/34.07 tff(10883,plain,
% 53.89/34.07 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB33)) | (~v90(constB33, 1))),
% 53.89/34.07 inference(modus_ponens,[status(thm)],[10882, 10881])).
% 53.89/34.07 tff(10884,plain,
% 53.89/34.07 (~v124(constB33)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[10883, 2890, 10880])).
% 53.89/34.07 tff(10885,plain,
% 53.89/34.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB33, 0) | (~nextState(constB33, constB34)) | v100(constB34) | (~v90(constB34, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB33, 0) | (~nextState(constB33, constB34)) | v100(constB34) | (~v90(constB34, 0)))),
% 53.89/34.07 inference(rewrite,[status(thm)],[])).
% 53.89/34.07 tff(10886,plain,
% 53.89/34.07 (((~nextState(constB33, constB34)) | v90(constB33, 0) | v100(constB34) | (~v90(constB34, 0))) <=> (v90(constB33, 0) | (~nextState(constB33, constB34)) | v100(constB34) | (~v90(constB34, 0)))),
% 53.89/34.07 inference(rewrite,[status(thm)],[])).
% 53.89/34.07 tff(10887,plain,
% 53.89/34.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB33, constB34)) | v90(constB33, 0) | v100(constB34) | (~v90(constB34, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB33, 0) | (~nextState(constB33, constB34)) | v100(constB34) | (~v90(constB34, 0))))),
% 53.89/34.07 inference(monotonicity,[status(thm)],[10886])).
% 53.89/34.07 tff(10888,plain,
% 53.89/34.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB33, constB34)) | v90(constB33, 0) | v100(constB34) | (~v90(constB34, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB33, 0) | (~nextState(constB33, constB34)) | v100(constB34) | (~v90(constB34, 0)))),
% 53.89/34.07 inference(transitivity,[status(thm)],[10887, 10885])).
% 53.89/34.07 tff(10889,plain,
% 53.89/34.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB33, constB34)) | v90(constB33, 0) | v100(constB34) | (~v90(constB34, 0)))),
% 53.89/34.07 inference(quant_inst,[status(thm)],[])).
% 53.89/34.07 tff(10890,plain,
% 53.89/34.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB33, 0) | (~nextState(constB33, constB34)) | v100(constB34) | (~v90(constB34, 0))),
% 53.89/34.07 inference(modus_ponens,[status(thm)],[10889, 10888])).
% 53.89/34.07 tff(10891,plain,
% 53.89/34.07 (v90(constB33, 0) | v100(constB34) | (~v90(constB34, 0))),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[10890, 947, 7363])).
% 53.89/34.07 tff(10892,plain,
% 53.89/34.07 (v90(constB33, 0)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[10891, 10860, 10777])).
% 53.89/34.07 tff(10893,plain,
% 53.89/34.07 (v90(constB32, 0)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[7298, 10892])).
% 53.89/34.07 tff(10894,plain,
% 53.89/34.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB32, 2) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB32, 2) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, 2)))),
% 53.89/34.07 inference(rewrite,[status(thm)],[])).
% 53.89/34.07 tff(10895,plain,
% 53.89/34.07 (((~nextState(constB32, constB33)) | v90(constB32, 2) | v100(constB33) | (~v90(constB33, 2))) <=> (v90(constB32, 2) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, 2)))),
% 53.89/34.07 inference(rewrite,[status(thm)],[])).
% 53.89/34.07 tff(10896,plain,
% 53.89/34.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB32, constB33)) | v90(constB32, 2) | v100(constB33) | (~v90(constB33, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB32, 2) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, 2))))),
% 53.89/34.07 inference(monotonicity,[status(thm)],[10895])).
% 53.89/34.07 tff(10897,plain,
% 53.89/34.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB32, constB33)) | v90(constB32, 2) | v100(constB33) | (~v90(constB33, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB32, 2) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, 2)))),
% 53.89/34.07 inference(transitivity,[status(thm)],[10896, 10894])).
% 53.89/34.07 tff(10898,plain,
% 53.89/34.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB32, constB33)) | v90(constB32, 2) | v100(constB33) | (~v90(constB33, 2)))),
% 53.89/34.07 inference(quant_inst,[status(thm)],[])).
% 53.89/34.07 tff(10899,plain,
% 53.89/34.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB32, 2) | (~nextState(constB32, constB33)) | v100(constB33) | (~v90(constB33, 2))),
% 53.89/34.07 inference(modus_ponens,[status(thm)],[10898, 10897])).
% 53.89/34.07 tff(10900,plain,
% 53.89/34.07 (v90(constB32, 2) | v100(constB33) | (~v90(constB33, 2))),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[10899, 905, 7278])).
% 53.89/34.07 tff(10901,plain,
% 53.89/34.07 (v90(constB32, 2) | (~v90(constB33, 2))),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[10900, 7290])).
% 53.89/34.07 tff(10902,plain,
% 53.89/34.07 (v90(constB32, 2)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[10901, 10868])).
% 53.89/34.07 tff(10903,assumption,(v124(constB31)), introduced(assumption)).
% 53.89/34.07 tff(10904,plain,
% 53.89/34.07 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB31)) | v114(constB31))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB31)) | v114(constB31))),
% 53.89/34.07 inference(rewrite,[status(thm)],[])).
% 53.89/34.07 tff(10905,plain,
% 53.89/34.07 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB31)) | v114(constB31))),
% 53.89/34.07 inference(quant_inst,[status(thm)],[])).
% 53.89/34.07 tff(10906,plain,
% 53.89/34.07 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB31)) | v114(constB31)),
% 53.89/34.07 inference(modus_ponens,[status(thm)],[10905, 10904])).
% 53.89/34.07 tff(10907,plain,
% 53.89/34.07 (v114(constB31)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[10906, 2674, 10903])).
% 53.89/34.07 tff(10908,plain,
% 53.89/34.07 (v113(constB31)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[7004, 1049, 10907])).
% 53.89/34.07 tff(10909,plain,
% 53.89/34.07 (v112(constB31)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[7016, 10908])).
% 53.89/34.07 tff(10910,plain,
% 53.89/34.07 (v108(constB31)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[7023, 1075, 10909])).
% 53.89/34.07 tff(10911,plain,
% 53.89/34.07 (v110(constB32)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[7034, 10910])).
% 53.89/34.07 tff(10912,plain,
% 53.89/34.07 (v100(constB32)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[7060, 10911])).
% 53.89/34.07 tff(10913,plain,
% 53.89/34.07 (v130(constB31, 2)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[7243, 2741, 10903])).
% 53.89/34.07 tff(10914,plain,
% 53.89/34.07 (v127(constB31, 2)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[7231, 10913])).
% 53.89/34.07 tff(10915,plain,
% 53.89/34.07 (v129(constB32, 2)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[7226, 10914])).
% 53.89/34.07 tff(10916,plain,
% 53.89/34.07 (v90(constB32, 2) | (~v100(constB32))),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[7220, 2324, 10915])).
% 53.89/34.07 tff(10917,plain,
% 53.89/34.07 (v90(constB32, 2)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[10916, 10912])).
% 53.89/34.07 tff(10918,plain,
% 53.89/34.07 (v90(constB33, 2)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[7322, 10917])).
% 53.89/34.07 tff(10919,plain,
% 53.89/34.07 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB33)) | (~v90(constB33, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB33)) | (~v90(constB33, 2)))),
% 53.89/34.07 inference(rewrite,[status(thm)],[])).
% 53.89/34.07 tff(10920,plain,
% 53.89/34.07 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB33)) | (~v90(constB33, 2)))),
% 53.89/34.07 inference(quant_inst,[status(thm)],[])).
% 53.89/34.07 tff(10921,plain,
% 53.89/34.07 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB33)) | (~v90(constB33, 2))),
% 53.89/34.07 inference(modus_ponens,[status(thm)],[10920, 10919])).
% 53.89/34.07 tff(10922,plain,
% 53.89/34.07 (~v121(constB33)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[10921, 2857, 10918])).
% 53.89/34.07 tff(10923,plain,
% 53.89/34.07 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB33)) | (~v90(constB33, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB33)) | (~v90(constB33, 2)))),
% 53.89/34.07 inference(rewrite,[status(thm)],[])).
% 53.89/34.07 tff(10924,plain,
% 53.89/34.07 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB33)) | (~v90(constB33, 2)))),
% 53.89/34.07 inference(quant_inst,[status(thm)],[])).
% 53.89/34.07 tff(10925,plain,
% 53.89/34.07 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB33)) | (~v90(constB33, 2))),
% 53.89/34.07 inference(modus_ponens,[status(thm)],[10924, 10923])).
% 53.89/34.07 tff(10926,plain,
% 53.89/34.07 (~v122(constB33)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[10925, 2797, 10918])).
% 53.89/34.07 tff(10927,plain,
% 53.89/34.07 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB31)) | v130(constB31, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB31)) | v130(constB31, 1))),
% 53.89/34.07 inference(rewrite,[status(thm)],[])).
% 53.89/34.07 tff(10928,plain,
% 53.89/34.07 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB31)) | v130(constB31, 1))),
% 53.89/34.07 inference(quant_inst,[status(thm)],[])).
% 53.89/34.07 tff(10929,plain,
% 53.89/34.07 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB31)) | v130(constB31, 1)),
% 53.89/34.07 inference(modus_ponens,[status(thm)],[10928, 10927])).
% 53.89/34.07 tff(10930,plain,
% 53.89/34.07 (v130(constB31, 1)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[10929, 2808, 10903])).
% 53.89/34.07 tff(10931,plain,
% 53.89/34.07 (v127(constB31, 1)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[7265, 10930])).
% 53.89/34.07 tff(10932,plain,
% 53.89/34.07 (v129(constB32, 1)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[7260, 10931])).
% 53.89/34.07 tff(10933,plain,
% 53.89/34.07 (v90(constB32, 1) | (~v100(constB32))),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[7255, 1623, 10932])).
% 53.89/34.07 tff(10934,plain,
% 53.89/34.07 (v90(constB32, 1)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[10933, 10912])).
% 53.89/34.07 tff(10935,plain,
% 53.89/34.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB32, 1)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB32, 1)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, 1))),
% 53.89/34.07 inference(rewrite,[status(thm)],[])).
% 53.89/34.07 tff(10936,plain,
% 53.89/34.07 (((~nextState(constB32, constB33)) | (~v90(constB32, 1)) | v100(constB33) | v90(constB33, 1)) <=> ((~v90(constB32, 1)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, 1))),
% 53.89/34.07 inference(rewrite,[status(thm)],[])).
% 53.89/34.07 tff(10937,plain,
% 53.89/34.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB32, constB33)) | (~v90(constB32, 1)) | v100(constB33) | v90(constB33, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB32, 1)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, 1)))),
% 53.89/34.07 inference(monotonicity,[status(thm)],[10936])).
% 53.89/34.07 tff(10938,plain,
% 53.89/34.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB32, constB33)) | (~v90(constB32, 1)) | v100(constB33) | v90(constB33, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB32, 1)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, 1))),
% 53.89/34.07 inference(transitivity,[status(thm)],[10937, 10935])).
% 53.89/34.07 tff(10939,plain,
% 53.89/34.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB32, constB33)) | (~v90(constB32, 1)) | v100(constB33) | v90(constB33, 1))),
% 53.89/34.07 inference(quant_inst,[status(thm)],[])).
% 53.89/34.07 tff(10940,plain,
% 53.89/34.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB32, 1)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, 1)),
% 53.89/34.07 inference(modus_ponens,[status(thm)],[10939, 10938])).
% 53.89/34.07 tff(10941,plain,
% 53.89/34.07 ((~v90(constB32, 1)) | v100(constB33) | v90(constB33, 1)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[10940, 1641, 7278])).
% 53.89/34.07 tff(10942,plain,
% 53.89/34.07 ((~v90(constB32, 1)) | v90(constB33, 1)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[10941, 7290])).
% 53.89/34.07 tff(10943,plain,
% 53.89/34.07 (v90(constB33, 1)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[10942, 10934])).
% 53.89/34.07 tff(10944,plain,
% 53.89/34.07 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB33)) | (~v90(constB33, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB33)) | (~v90(constB33, 1)))),
% 53.89/34.07 inference(rewrite,[status(thm)],[])).
% 53.89/34.07 tff(10945,plain,
% 53.89/34.07 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB33)) | (~v90(constB33, 1)))),
% 53.89/34.07 inference(quant_inst,[status(thm)],[])).
% 53.89/34.07 tff(10946,plain,
% 53.89/34.07 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB33)) | (~v90(constB33, 1))),
% 53.89/34.07 inference(modus_ponens,[status(thm)],[10945, 10944])).
% 53.89/34.07 tff(10947,plain,
% 53.89/34.07 (~v119(constB33)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[10946, 2868, 10943])).
% 53.89/34.07 tff(10948,plain,
% 53.89/34.07 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB33)) | (~v90(constB33, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB33)) | (~v90(constB33, 1)))),
% 53.89/34.07 inference(rewrite,[status(thm)],[])).
% 53.89/34.07 tff(10949,plain,
% 53.89/34.07 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB33)) | (~v90(constB33, 1)))),
% 53.89/34.07 inference(quant_inst,[status(thm)],[])).
% 53.89/34.07 tff(10950,plain,
% 53.89/34.07 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB33)) | (~v90(constB33, 1))),
% 53.89/34.07 inference(modus_ponens,[status(thm)],[10949, 10948])).
% 53.89/34.07 tff(10951,plain,
% 53.89/34.07 (~v123(constB33)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[10950, 2879, 10943])).
% 53.89/34.07 tff(10952,plain,
% 53.89/34.07 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB33)) | (~v90(constB33, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB33)) | (~v90(constB33, 1)))),
% 53.89/34.07 inference(rewrite,[status(thm)],[])).
% 53.89/34.07 tff(10953,plain,
% 53.89/34.07 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB33)) | (~v90(constB33, 1)))),
% 53.89/34.07 inference(quant_inst,[status(thm)],[])).
% 53.89/34.07 tff(10954,plain,
% 53.89/34.07 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB33)) | (~v90(constB33, 1))),
% 53.89/34.07 inference(modus_ponens,[status(thm)],[10953, 10952])).
% 53.89/34.07 tff(10955,plain,
% 53.89/34.07 (~v120(constB33)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[10954, 2846, 10943])).
% 53.89/34.07 tff(10956,plain,
% 53.89/34.07 (~v124(constB33)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[10883, 2890, 10943])).
% 53.89/34.07 tff(10957,plain,
% 53.89/34.07 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB31)) | (~v130(constB31, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB31)) | (~v130(constB31, 0)))),
% 53.89/34.07 inference(rewrite,[status(thm)],[])).
% 53.89/34.07 tff(10958,plain,
% 53.89/34.07 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB31)) | (~v130(constB31, 0)))),
% 53.89/34.07 inference(quant_inst,[status(thm)],[])).
% 53.89/34.07 tff(10959,plain,
% 53.89/34.07 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB31)) | (~v130(constB31, 0))),
% 53.89/34.07 inference(modus_ponens,[status(thm)],[10958, 10957])).
% 53.89/34.07 tff(10960,plain,
% 53.89/34.07 (~v130(constB31, 0)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[10959, 3274, 10903])).
% 53.89/34.07 tff(10961,plain,
% 53.89/34.07 (~v127(constB31, 0)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[7072, 10960])).
% 53.89/34.07 tff(10962,plain,
% 53.89/34.07 (~v129(constB32, 0)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[7077, 10961])).
% 53.89/34.07 tff(10963,plain,
% 53.89/34.07 ((~v90(constB32, 0)) | (~v100(constB32))),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[7084, 1704, 10962])).
% 53.89/34.07 tff(10964,plain,
% 53.89/34.07 (~v90(constB32, 0)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[10963, 10912])).
% 53.89/34.07 tff(10965,plain,
% 53.89/34.07 (~v90(constB33, 0)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[7298, 10964])).
% 53.89/34.07 tff(10966,plain,
% 53.89/34.07 (v100(constB34)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[10891, 10965, 10802])).
% 53.89/34.07 tff(10967,plain,
% 53.89/34.07 (v129(constB34, 1)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[10789, 10966])).
% 53.89/34.07 tff(10968,plain,
% 53.89/34.07 (v127(constB33, 1)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[7490, 10967])).
% 53.89/34.07 tff(10969,plain,
% 53.89/34.07 (v130(constB33, 1)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[7485, 10968])).
% 53.89/34.07 tff(10970,plain,
% 53.89/34.07 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB33) | v120(constB33) | v121(constB33) | v122(constB33) | v123(constB33) | v124(constB33) | (~v130(constB33, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB33) | v120(constB33) | v121(constB33) | v122(constB33) | v123(constB33) | v124(constB33) | (~v130(constB33, 1)))),
% 53.89/34.07 inference(rewrite,[status(thm)],[])).
% 53.89/34.07 tff(10971,plain,
% 53.89/34.07 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB33) | v120(constB33) | v121(constB33) | v122(constB33) | v123(constB33) | v124(constB33) | (~v130(constB33, 1)))),
% 53.89/34.07 inference(quant_inst,[status(thm)],[])).
% 53.89/34.07 tff(10972,plain,
% 53.89/34.07 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB33) | v120(constB33) | v121(constB33) | v122(constB33) | v123(constB33) | v124(constB33) | (~v130(constB33, 1))),
% 53.89/34.07 inference(modus_ponens,[status(thm)],[10971, 10970])).
% 53.89/34.07 tff(10973,plain,
% 53.89/34.07 ($false),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[10972, 3309, 10969, 10956, 10955, 10951, 10947, 10926, 10922])).
% 53.89/34.07 tff(10974,plain,((~v124(constB31)) | (~v90(constB34, 1)) | (~v90(constB34, 0))), inference(lemma,lemma(discharge,[]))).
% 53.89/34.07 tff(10975,plain,
% 53.89/34.07 (~v124(constB31)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[10974, 10777, 10786])).
% 53.89/34.07 tff(10976,plain,
% 53.89/34.07 (v90(constB32, 1)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[7307, 10880])).
% 53.89/34.07 tff(10977,assumption,(v100(constB32)), introduced(assumption)).
% 53.89/34.07 tff(10978,assumption,(v90(constB32, 2)), introduced(assumption)).
% 53.89/34.07 tff(10979,plain,
% 53.89/34.07 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB32, 2)) | v129(constB32, 2) | (~v100(constB32)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB32, 2)) | v129(constB32, 2) | (~v100(constB32)))),
% 53.89/34.07 inference(rewrite,[status(thm)],[])).
% 53.89/34.07 tff(10980,plain,
% 53.89/34.07 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB32, 2)) | v129(constB32, 2) | (~v100(constB32)))),
% 53.89/34.07 inference(quant_inst,[status(thm)],[])).
% 53.89/34.07 tff(10981,plain,
% 53.89/34.07 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB32, 2)) | v129(constB32, 2) | (~v100(constB32))),
% 53.89/34.07 inference(modus_ponens,[status(thm)],[10980, 10979])).
% 53.89/34.07 tff(10982,plain,
% 53.89/34.07 (v129(constB32, 2) | (~v100(constB32))),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[10981, 1223, 10978])).
% 53.89/34.07 tff(10983,plain,
% 53.89/34.07 (v129(constB32, 2)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[10982, 10977])).
% 53.89/34.07 tff(10984,plain,
% 53.89/34.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB31, constB32)) | v127(constB31, 2) | (~v129(constB32, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB31, constB32)) | v127(constB31, 2) | (~v129(constB32, 2)))),
% 53.89/34.07 inference(rewrite,[status(thm)],[])).
% 53.89/34.07 tff(10985,plain,
% 53.89/34.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB31, constB32)) | v127(constB31, 2) | (~v129(constB32, 2)))),
% 53.89/34.07 inference(quant_inst,[status(thm)],[])).
% 53.89/34.07 tff(10986,plain,
% 53.89/34.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB31, constB32)) | v127(constB31, 2) | (~v129(constB32, 2))),
% 53.89/34.07 inference(modus_ponens,[status(thm)],[10985, 10984])).
% 53.89/34.07 tff(10987,plain,
% 53.89/34.07 (v127(constB31, 2) | (~v129(constB32, 2))),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[10986, 1208, 7027])).
% 53.89/34.07 tff(10988,plain,
% 53.89/34.07 (v127(constB31, 2)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[10987, 10983])).
% 53.89/34.07 tff(10989,plain,
% 53.89/34.07 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB31, 2)) | v26(constB31) | v130(constB31, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB31, 2)) | v26(constB31) | v130(constB31, 2))),
% 53.89/34.07 inference(rewrite,[status(thm)],[])).
% 53.89/34.07 tff(10990,plain,
% 53.89/34.07 ((v26(constB31) | v130(constB31, 2) | (~v127(constB31, 2))) <=> ((~v127(constB31, 2)) | v26(constB31) | v130(constB31, 2))),
% 53.89/34.07 inference(rewrite,[status(thm)],[])).
% 53.89/34.07 tff(10991,plain,
% 53.89/34.07 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB31) | v130(constB31, 2) | (~v127(constB31, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB31, 2)) | v26(constB31) | v130(constB31, 2)))),
% 53.89/34.07 inference(monotonicity,[status(thm)],[10990])).
% 53.89/34.07 tff(10992,plain,
% 53.89/34.07 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB31) | v130(constB31, 2) | (~v127(constB31, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB31, 2)) | v26(constB31) | v130(constB31, 2))),
% 53.89/34.07 inference(transitivity,[status(thm)],[10991, 10989])).
% 53.89/34.07 tff(10993,plain,
% 53.89/34.07 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB31) | v130(constB31, 2) | (~v127(constB31, 2)))),
% 53.89/34.07 inference(quant_inst,[status(thm)],[])).
% 53.89/34.07 tff(10994,plain,
% 53.89/34.07 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB31, 2)) | v26(constB31) | v130(constB31, 2)),
% 53.89/34.07 inference(modus_ponens,[status(thm)],[10993, 10992])).
% 53.89/34.07 tff(10995,plain,
% 53.89/34.07 ((~v127(constB31, 2)) | v130(constB31, 2)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[10994, 1190, 7009])).
% 53.89/34.07 tff(10996,plain,
% 53.89/34.07 (v130(constB31, 2)),
% 53.89/34.07 inference(unit_resolution,[status(thm)],[10995, 10988])).
% 53.89/34.07 tff(10997,plain,
% 53.89/34.07 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB31)) | (~v130(constB31, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB31)) | (~v130(constB31, 2)))),
% 53.89/34.07 inference(rewrite,[status(thm)],[])).
% 53.89/34.07 tff(10998,plain,
% 53.89/34.07 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB31)) | (~v130(constB31, 2)))),
% 53.89/34.08 inference(quant_inst,[status(thm)],[])).
% 53.89/34.08 tff(10999,plain,
% 53.89/34.08 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB31)) | (~v130(constB31, 2))),
% 53.89/34.08 inference(modus_ponens,[status(thm)],[10998, 10997])).
% 53.89/34.08 tff(11000,plain,
% 53.89/34.08 (~v119(constB31)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[10999, 1176, 10996])).
% 53.89/34.08 tff(11001,assumption,(~v124(constB31)), introduced(assumption)).
% 53.89/34.08 tff(11002,assumption,(v90(constB32, 0)), introduced(assumption)).
% 53.89/34.08 tff(11003,plain,
% 53.89/34.08 (v129(constB32, 0) | (~v100(constB32))),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[7084, 1704, 11002])).
% 53.89/34.08 tff(11004,plain,
% 53.89/34.08 (v129(constB32, 0)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[11003, 10977])).
% 53.89/34.08 tff(11005,plain,
% 53.89/34.08 (v127(constB31, 0)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[7077, 11004])).
% 53.89/34.08 tff(11006,plain,
% 53.89/34.08 (v130(constB31, 0)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[7072, 11005])).
% 53.89/34.08 tff(11007,plain,
% 53.89/34.08 (~v122(constB31)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[7064, 2407, 11006])).
% 53.89/34.08 tff(11008,plain,
% 53.89/34.08 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB31)) | (~v130(constB31, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB31)) | (~v130(constB31, 2)))),
% 53.89/34.08 inference(rewrite,[status(thm)],[])).
% 53.89/34.08 tff(11009,plain,
% 53.89/34.08 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB31)) | (~v130(constB31, 2)))),
% 53.89/34.08 inference(quant_inst,[status(thm)],[])).
% 53.89/34.08 tff(11010,plain,
% 53.89/34.08 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB31)) | (~v130(constB31, 2))),
% 53.89/34.08 inference(modus_ponens,[status(thm)],[11009, 11008])).
% 53.89/34.08 tff(11011,plain,
% 53.89/34.08 (~v121(constB31)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[11010, 1821, 10996])).
% 53.89/34.08 tff(11012,plain,
% 53.89/34.08 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB31)) | (~v130(constB31, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB31)) | (~v130(constB31, 0)))),
% 53.89/34.08 inference(rewrite,[status(thm)],[])).
% 53.89/34.08 tff(11013,plain,
% 53.89/34.08 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB31)) | (~v130(constB31, 0)))),
% 53.89/34.08 inference(quant_inst,[status(thm)],[])).
% 53.89/34.08 tff(11014,plain,
% 53.89/34.08 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB31)) | (~v130(constB31, 0))),
% 53.89/34.08 inference(modus_ponens,[status(thm)],[11013, 11012])).
% 53.89/34.08 tff(11015,plain,
% 53.89/34.08 (~v120(constB31)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[11014, 1657, 11006])).
% 53.89/34.08 tff(11016,assumption,(v90(constB32, 1)), introduced(assumption)).
% 53.89/34.08 tff(11017,plain,
% 53.89/34.08 (v129(constB32, 1) | (~v100(constB32))),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[7109, 1309, 11016])).
% 53.89/34.08 tff(11018,plain,
% 53.89/34.08 (v129(constB32, 1)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[11017, 10977])).
% 53.89/34.08 tff(11019,plain,
% 53.89/34.08 (v127(constB31, 1)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[7102, 11018])).
% 53.89/34.08 tff(11020,plain,
% 53.89/34.08 (v130(constB31, 1)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[7097, 11019])).
% 53.89/34.08 tff(11021,plain,
% 53.89/34.08 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB31) | v120(constB31) | v121(constB31) | v122(constB31) | v123(constB31) | v124(constB31) | (~v130(constB31, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB31) | v120(constB31) | v121(constB31) | v122(constB31) | v123(constB31) | v124(constB31) | (~v130(constB31, 1)))),
% 53.89/34.08 inference(rewrite,[status(thm)],[])).
% 53.89/34.08 tff(11022,plain,
% 53.89/34.08 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB31) | v120(constB31) | v121(constB31) | v122(constB31) | v123(constB31) | v124(constB31) | (~v130(constB31, 1)))),
% 53.89/34.08 inference(quant_inst,[status(thm)],[])).
% 53.89/34.08 tff(11023,plain,
% 53.89/34.08 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB31) | v120(constB31) | v121(constB31) | v122(constB31) | v123(constB31) | v124(constB31) | (~v130(constB31, 1))),
% 53.89/34.08 inference(modus_ponens,[status(thm)],[11022, 11021])).
% 53.89/34.08 tff(11024,plain,
% 53.89/34.08 (v123(constB31)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[11023, 3309, 11020, 11015, 11011, 11007, 11001, 11000])).
% 53.89/34.08 tff(11025,plain,
% 53.89/34.08 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB31)) | (~v130(constB31, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB31)) | (~v130(constB31, 1)))),
% 53.89/34.08 inference(rewrite,[status(thm)],[])).
% 53.89/34.08 tff(11026,plain,
% 53.89/34.08 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB31)) | (~v130(constB31, 1)))),
% 53.89/34.08 inference(quant_inst,[status(thm)],[])).
% 53.89/34.08 tff(11027,plain,
% 53.89/34.08 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB31)) | (~v130(constB31, 1))),
% 53.89/34.08 inference(modus_ponens,[status(thm)],[11026, 11025])).
% 53.89/34.08 tff(11028,plain,
% 53.89/34.08 ($false),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[11027, 2581, 11020, 11024])).
% 53.89/34.08 tff(11029,plain,((~v100(constB32)) | v124(constB31) | (~v90(constB32, 1)) | (~v90(constB32, 2)) | (~v90(constB32, 0))), inference(lemma,lemma(discharge,[]))).
% 53.89/34.08 tff(11030,plain,
% 53.89/34.08 (~v100(constB32)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[11029, 10976, 10975, 10902, 10893])).
% 53.89/34.08 tff(11031,plain,
% 53.89/34.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB31, 0) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB31, 0) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, 0)))),
% 53.89/34.08 inference(rewrite,[status(thm)],[])).
% 53.89/34.08 tff(11032,plain,
% 53.89/34.08 (((~nextState(constB31, constB32)) | v90(constB31, 0) | v100(constB32) | (~v90(constB32, 0))) <=> (v90(constB31, 0) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, 0)))),
% 53.89/34.08 inference(rewrite,[status(thm)],[])).
% 53.89/34.08 tff(11033,plain,
% 53.89/34.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB31, constB32)) | v90(constB31, 0) | v100(constB32) | (~v90(constB32, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB31, 0) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, 0))))),
% 53.89/34.08 inference(monotonicity,[status(thm)],[11032])).
% 53.89/34.08 tff(11034,plain,
% 53.89/34.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB31, constB32)) | v90(constB31, 0) | v100(constB32) | (~v90(constB32, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB31, 0) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, 0)))),
% 53.89/34.08 inference(transitivity,[status(thm)],[11033, 11031])).
% 53.89/34.08 tff(11035,plain,
% 53.89/34.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB31, constB32)) | v90(constB31, 0) | v100(constB32) | (~v90(constB32, 0)))),
% 53.89/34.08 inference(quant_inst,[status(thm)],[])).
% 53.89/34.08 tff(11036,plain,
% 53.89/34.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB31, 0) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, 0))),
% 53.89/34.08 inference(modus_ponens,[status(thm)],[11035, 11034])).
% 53.89/34.08 tff(11037,plain,
% 53.89/34.08 (v90(constB31, 0) | v100(constB32) | (~v90(constB32, 0))),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[11036, 947, 7027])).
% 53.89/34.08 tff(11038,plain,
% 53.89/34.08 (v90(constB31, 0)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[11037, 11030, 10893])).
% 53.89/34.08 tff(11039,plain,
% 53.89/34.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB30, 0) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB30, 0) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, 0)))),
% 53.89/34.08 inference(rewrite,[status(thm)],[])).
% 53.89/34.08 tff(11040,plain,
% 53.89/34.08 (((~nextState(constB30, constB31)) | v90(constB30, 0) | v100(constB31) | (~v90(constB31, 0))) <=> (v90(constB30, 0) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, 0)))),
% 53.89/34.08 inference(rewrite,[status(thm)],[])).
% 53.89/34.08 tff(11041,plain,
% 53.89/34.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB30, constB31)) | v90(constB30, 0) | v100(constB31) | (~v90(constB31, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB30, 0) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, 0))))),
% 53.89/34.08 inference(monotonicity,[status(thm)],[11040])).
% 53.89/34.08 tff(11042,plain,
% 53.89/34.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB30, constB31)) | v90(constB30, 0) | v100(constB31) | (~v90(constB31, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB30, 0) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, 0)))),
% 53.89/34.08 inference(transitivity,[status(thm)],[11041, 11039])).
% 53.89/34.08 tff(11043,plain,
% 53.89/34.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB30, constB31)) | v90(constB30, 0) | v100(constB31) | (~v90(constB31, 0)))),
% 53.89/34.08 inference(quant_inst,[status(thm)],[])).
% 53.89/34.08 tff(11044,plain,
% 53.89/34.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB30, 0) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, 0))),
% 53.89/34.08 inference(modus_ponens,[status(thm)],[11043, 11042])).
% 53.89/34.08 tff(11045,plain,
% 53.89/34.08 (v90(constB30, 0) | v100(constB31) | (~v90(constB31, 0))),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[11044, 947, 6896])).
% 53.89/34.08 tff(11046,plain,
% 53.89/34.08 (v90(constB30, 0) | (~v90(constB31, 0))),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[11045, 6908])).
% 53.89/34.08 tff(11047,plain,
% 53.89/34.08 (v90(constB30, 0)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[11046, 11038])).
% 53.89/34.08 tff(11048,plain,
% 53.89/34.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB31, 1) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB31, 1) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, 1)))),
% 53.89/34.08 inference(rewrite,[status(thm)],[])).
% 53.89/34.08 tff(11049,plain,
% 53.89/34.08 (((~nextState(constB31, constB32)) | v90(constB31, 1) | v100(constB32) | (~v90(constB32, 1))) <=> (v90(constB31, 1) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, 1)))),
% 53.89/34.08 inference(rewrite,[status(thm)],[])).
% 53.89/34.08 tff(11050,plain,
% 53.89/34.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB31, constB32)) | v90(constB31, 1) | v100(constB32) | (~v90(constB32, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB31, 1) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, 1))))),
% 53.89/34.08 inference(monotonicity,[status(thm)],[11049])).
% 53.89/34.08 tff(11051,plain,
% 53.89/34.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB31, constB32)) | v90(constB31, 1) | v100(constB32) | (~v90(constB32, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB31, 1) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, 1)))),
% 53.89/34.08 inference(transitivity,[status(thm)],[11050, 11048])).
% 53.89/34.08 tff(11052,plain,
% 53.89/34.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB31, constB32)) | v90(constB31, 1) | v100(constB32) | (~v90(constB32, 1)))),
% 53.89/34.08 inference(quant_inst,[status(thm)],[])).
% 53.89/34.08 tff(11053,plain,
% 53.89/34.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB31, 1) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, 1))),
% 53.89/34.08 inference(modus_ponens,[status(thm)],[11052, 11051])).
% 53.89/34.08 tff(11054,plain,
% 53.89/34.08 (v90(constB31, 1) | v100(constB32) | (~v90(constB32, 1))),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[11053, 926, 7027])).
% 53.89/34.08 tff(11055,plain,
% 53.89/34.08 (v90(constB31, 1)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[11054, 11030, 10976])).
% 53.89/34.08 tff(11056,plain,
% 53.89/34.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB30, 1) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB30, 1) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, 1)))),
% 53.89/34.08 inference(rewrite,[status(thm)],[])).
% 53.89/34.08 tff(11057,plain,
% 53.89/34.08 (((~nextState(constB30, constB31)) | v90(constB30, 1) | v100(constB31) | (~v90(constB31, 1))) <=> (v90(constB30, 1) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, 1)))),
% 53.89/34.08 inference(rewrite,[status(thm)],[])).
% 53.89/34.08 tff(11058,plain,
% 53.89/34.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB30, constB31)) | v90(constB30, 1) | v100(constB31) | (~v90(constB31, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB30, 1) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, 1))))),
% 53.89/34.08 inference(monotonicity,[status(thm)],[11057])).
% 53.89/34.08 tff(11059,plain,
% 53.89/34.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB30, constB31)) | v90(constB30, 1) | v100(constB31) | (~v90(constB31, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB30, 1) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, 1)))),
% 53.89/34.08 inference(transitivity,[status(thm)],[11058, 11056])).
% 53.89/34.08 tff(11060,plain,
% 53.89/34.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB30, constB31)) | v90(constB30, 1) | v100(constB31) | (~v90(constB31, 1)))),
% 53.89/34.08 inference(quant_inst,[status(thm)],[])).
% 53.89/34.08 tff(11061,plain,
% 53.89/34.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB30, 1) | (~nextState(constB30, constB31)) | v100(constB31) | (~v90(constB31, 1))),
% 53.89/34.08 inference(modus_ponens,[status(thm)],[11060, 11059])).
% 53.89/34.08 tff(11062,plain,
% 53.89/34.08 (v90(constB30, 1) | v100(constB31) | (~v90(constB31, 1))),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[11061, 926, 6896])).
% 53.89/34.08 tff(11063,plain,
% 53.89/34.08 (v90(constB30, 1) | (~v90(constB31, 1))),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[11062, 6908])).
% 53.89/34.08 tff(11064,plain,
% 53.89/34.08 (v90(constB30, 1)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[11063, 11055])).
% 53.89/34.08 tff(11065,plain,
% 53.89/34.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB31, 2) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB31, 2) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, 2)))),
% 53.89/34.08 inference(rewrite,[status(thm)],[])).
% 53.89/34.08 tff(11066,plain,
% 53.89/34.08 (((~nextState(constB31, constB32)) | v90(constB31, 2) | v100(constB32) | (~v90(constB32, 2))) <=> (v90(constB31, 2) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, 2)))),
% 53.89/34.08 inference(rewrite,[status(thm)],[])).
% 53.89/34.08 tff(11067,plain,
% 53.89/34.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB31, constB32)) | v90(constB31, 2) | v100(constB32) | (~v90(constB32, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB31, 2) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, 2))))),
% 53.89/34.08 inference(monotonicity,[status(thm)],[11066])).
% 53.89/34.08 tff(11068,plain,
% 53.89/34.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB31, constB32)) | v90(constB31, 2) | v100(constB32) | (~v90(constB32, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB31, 2) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, 2)))),
% 53.89/34.08 inference(transitivity,[status(thm)],[11067, 11065])).
% 53.89/34.08 tff(11069,plain,
% 53.89/34.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB31, constB32)) | v90(constB31, 2) | v100(constB32) | (~v90(constB32, 2)))),
% 53.89/34.08 inference(quant_inst,[status(thm)],[])).
% 53.89/34.08 tff(11070,plain,
% 53.89/34.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB31, 2) | (~nextState(constB31, constB32)) | v100(constB32) | (~v90(constB32, 2))),
% 53.89/34.08 inference(modus_ponens,[status(thm)],[11069, 11068])).
% 53.89/34.08 tff(11071,plain,
% 53.89/34.08 (v90(constB31, 2) | v100(constB32) | (~v90(constB32, 2))),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[11070, 905, 7027])).
% 53.89/34.08 tff(11072,plain,
% 53.89/34.08 (v90(constB31, 2)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[11071, 11030, 10902])).
% 53.89/34.08 tff(11073,plain,
% 53.89/34.08 (v90(constB30, 2)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[6916, 11072])).
% 53.89/34.08 tff(11074,assumption,(v90(constB30, 1)), introduced(assumption)).
% 53.89/34.08 tff(11075,assumption,(~v90(constB29, 1)), introduced(assumption)).
% 53.89/34.08 tff(11076,plain,
% 53.89/34.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB29, 1) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB29, 1) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 1)))),
% 53.89/34.08 inference(rewrite,[status(thm)],[])).
% 53.89/34.08 tff(11077,plain,
% 53.89/34.08 (((~nextState(constB29, constB30)) | v90(constB29, 1) | v100(constB30) | (~v90(constB30, 1))) <=> (v90(constB29, 1) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 1)))),
% 53.89/34.08 inference(rewrite,[status(thm)],[])).
% 53.89/34.08 tff(11078,plain,
% 53.89/34.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB29, constB30)) | v90(constB29, 1) | v100(constB30) | (~v90(constB30, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB29, 1) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 1))))),
% 53.89/34.08 inference(monotonicity,[status(thm)],[11077])).
% 53.89/34.08 tff(11079,plain,
% 53.89/34.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB29, constB30)) | v90(constB29, 1) | v100(constB30) | (~v90(constB30, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB29, 1) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 1)))),
% 53.89/34.08 inference(transitivity,[status(thm)],[11078, 11076])).
% 53.89/34.08 tff(11080,plain,
% 53.89/34.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB29, constB30)) | v90(constB29, 1) | v100(constB30) | (~v90(constB30, 1)))),
% 53.89/34.08 inference(quant_inst,[status(thm)],[])).
% 53.89/34.08 tff(11081,plain,
% 53.89/34.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB29, 1) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 1))),
% 53.89/34.08 inference(modus_ponens,[status(thm)],[11080, 11079])).
% 53.89/34.08 tff(11082,plain,
% 53.89/34.08 (v90(constB29, 1) | v100(constB30) | (~v90(constB30, 1))),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[11081, 926, 6569])).
% 53.89/34.08 tff(11083,plain,
% 53.89/34.08 (v100(constB30)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[11082, 11075, 11074])).
% 53.89/34.08 tff(11084,assumption,(v90(constB30, 2)), introduced(assumption)).
% 53.89/34.08 tff(11085,plain,
% 53.89/34.08 (v129(constB30, 2) | (~v100(constB30))),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[6888, 1223, 11084])).
% 53.89/34.08 tff(11086,plain,
% 53.89/34.08 (v129(constB30, 2)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[11085, 11083])).
% 53.89/34.08 tff(11087,plain,
% 53.89/34.08 (v127(constB29, 2)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[6884, 11086])).
% 53.89/34.08 tff(11088,plain,
% 53.89/34.08 (v130(constB29, 2)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[6879, 11087])).
% 53.89/34.08 tff(11089,plain,
% 53.89/34.08 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB29)) | (~v130(constB29, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB29)) | (~v130(constB29, 2)))),
% 53.89/34.08 inference(rewrite,[status(thm)],[])).
% 53.89/34.08 tff(11090,plain,
% 53.89/34.08 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB29)) | (~v130(constB29, 2)))),
% 53.89/34.08 inference(quant_inst,[status(thm)],[])).
% 53.89/34.08 tff(11091,plain,
% 53.89/34.08 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB29)) | (~v130(constB29, 2))),
% 53.89/34.08 inference(modus_ponens,[status(thm)],[11090, 11089])).
% 53.89/34.08 tff(11092,plain,
% 53.89/34.08 (~v120(constB29)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[11091, 1523, 11088])).
% 53.89/34.08 tff(11093,assumption,(v90(constB30, 0)), introduced(assumption)).
% 53.89/34.08 tff(11094,plain,
% 53.89/34.08 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB30, 0)) | v129(constB30, 0) | (~v100(constB30)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB30, 0)) | v129(constB30, 0) | (~v100(constB30)))),
% 53.89/34.08 inference(rewrite,[status(thm)],[])).
% 53.89/34.08 tff(11095,plain,
% 53.89/34.08 (((~v90(constB30, 0)) | (~v100(constB30)) | v129(constB30, 0)) <=> ((~v90(constB30, 0)) | v129(constB30, 0) | (~v100(constB30)))),
% 53.89/34.08 inference(rewrite,[status(thm)],[])).
% 53.89/34.08 tff(11096,plain,
% 53.89/34.08 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB30, 0)) | (~v100(constB30)) | v129(constB30, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB30, 0)) | v129(constB30, 0) | (~v100(constB30))))),
% 53.89/34.08 inference(monotonicity,[status(thm)],[11095])).
% 53.89/34.08 tff(11097,plain,
% 53.89/34.08 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB30, 0)) | (~v100(constB30)) | v129(constB30, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB30, 0)) | v129(constB30, 0) | (~v100(constB30)))),
% 53.89/34.08 inference(transitivity,[status(thm)],[11096, 11094])).
% 53.89/34.08 tff(11098,plain,
% 53.89/34.08 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB30, 0)) | (~v100(constB30)) | v129(constB30, 0))),
% 53.89/34.08 inference(quant_inst,[status(thm)],[])).
% 53.89/34.08 tff(11099,plain,
% 53.89/34.08 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB30, 0)) | v129(constB30, 0) | (~v100(constB30))),
% 53.89/34.08 inference(modus_ponens,[status(thm)],[11098, 11097])).
% 53.89/34.08 tff(11100,plain,
% 53.89/34.08 (v129(constB30, 0) | (~v100(constB30))),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[11099, 1704, 11093])).
% 53.89/34.08 tff(11101,plain,
% 53.89/34.08 (v129(constB30, 0)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[11100, 11083])).
% 53.89/34.08 tff(11102,plain,
% 53.89/34.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB29, constB30)) | v127(constB29, 0) | (~v129(constB30, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB29, constB30)) | v127(constB29, 0) | (~v129(constB30, 0)))),
% 53.89/34.08 inference(rewrite,[status(thm)],[])).
% 53.89/34.08 tff(11103,plain,
% 53.89/34.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB29, constB30)) | v127(constB29, 0) | (~v129(constB30, 0)))),
% 53.89/34.08 inference(quant_inst,[status(thm)],[])).
% 53.89/34.08 tff(11104,plain,
% 53.89/34.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB29, constB30)) | v127(constB29, 0) | (~v129(constB30, 0))),
% 53.89/34.08 inference(modus_ponens,[status(thm)],[11103, 11102])).
% 53.89/34.08 tff(11105,plain,
% 53.89/34.08 (v127(constB29, 0) | (~v129(constB30, 0))),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[11104, 1689, 6569])).
% 53.89/34.08 tff(11106,plain,
% 53.89/34.08 (v127(constB29, 0)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[11105, 11101])).
% 53.89/34.08 tff(11107,plain,
% 53.89/34.08 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB29, 0)) | v26(constB29) | v130(constB29, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB29, 0)) | v26(constB29) | v130(constB29, 0))),
% 53.89/34.08 inference(rewrite,[status(thm)],[])).
% 53.89/34.08 tff(11108,plain,
% 53.89/34.08 ((v26(constB29) | v130(constB29, 0) | (~v127(constB29, 0))) <=> ((~v127(constB29, 0)) | v26(constB29) | v130(constB29, 0))),
% 53.89/34.08 inference(rewrite,[status(thm)],[])).
% 53.89/34.08 tff(11109,plain,
% 53.89/34.08 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB29) | v130(constB29, 0) | (~v127(constB29, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB29, 0)) | v26(constB29) | v130(constB29, 0)))),
% 53.89/34.08 inference(monotonicity,[status(thm)],[11108])).
% 53.89/34.08 tff(11110,plain,
% 53.89/34.08 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB29) | v130(constB29, 0) | (~v127(constB29, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB29, 0)) | v26(constB29) | v130(constB29, 0))),
% 53.89/34.08 inference(transitivity,[status(thm)],[11109, 11107])).
% 53.89/34.08 tff(11111,plain,
% 53.89/34.08 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB29) | v130(constB29, 0) | (~v127(constB29, 0)))),
% 53.89/34.08 inference(quant_inst,[status(thm)],[])).
% 53.89/34.08 tff(11112,plain,
% 53.89/34.08 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB29, 0)) | v26(constB29) | v130(constB29, 0)),
% 53.89/34.08 inference(modus_ponens,[status(thm)],[11111, 11110])).
% 53.89/34.08 tff(11113,plain,
% 53.89/34.08 ((~v127(constB29, 0)) | v130(constB29, 0)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[11112, 1671, 6554])).
% 53.89/34.08 tff(11114,plain,
% 53.89/34.08 (v130(constB29, 0)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[11113, 11106])).
% 53.89/34.08 tff(11115,plain,
% 53.89/34.08 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB29)) | (~v130(constB29, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB29)) | (~v130(constB29, 0)))),
% 53.89/34.08 inference(rewrite,[status(thm)],[])).
% 53.89/34.08 tff(11116,plain,
% 53.89/34.08 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB29)) | (~v130(constB29, 0)))),
% 53.89/34.08 inference(quant_inst,[status(thm)],[])).
% 53.89/34.08 tff(11117,plain,
% 53.89/34.08 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB29)) | (~v130(constB29, 0))),
% 53.89/34.08 inference(modus_ponens,[status(thm)],[11116, 11115])).
% 53.89/34.08 tff(11118,plain,
% 53.89/34.08 (~v124(constB29)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[11117, 3274, 11114])).
% 53.89/34.08 tff(11119,plain,
% 53.89/34.08 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB30, 1)) | v129(constB30, 1) | (~v100(constB30)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB30, 1)) | v129(constB30, 1) | (~v100(constB30)))),
% 53.89/34.08 inference(rewrite,[status(thm)],[])).
% 53.89/34.08 tff(11120,plain,
% 53.89/34.08 (((~v90(constB30, 1)) | (~v100(constB30)) | v129(constB30, 1)) <=> ((~v90(constB30, 1)) | v129(constB30, 1) | (~v100(constB30)))),
% 53.89/34.08 inference(rewrite,[status(thm)],[])).
% 53.89/34.08 tff(11121,plain,
% 53.89/34.08 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB30, 1)) | (~v100(constB30)) | v129(constB30, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB30, 1)) | v129(constB30, 1) | (~v100(constB30))))),
% 53.89/34.08 inference(monotonicity,[status(thm)],[11120])).
% 53.89/34.08 tff(11122,plain,
% 53.89/34.08 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB30, 1)) | (~v100(constB30)) | v129(constB30, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB30, 1)) | v129(constB30, 1) | (~v100(constB30)))),
% 53.89/34.08 inference(transitivity,[status(thm)],[11121, 11119])).
% 53.89/34.08 tff(11123,plain,
% 53.89/34.08 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB30, 1)) | (~v100(constB30)) | v129(constB30, 1))),
% 53.89/34.08 inference(quant_inst,[status(thm)],[])).
% 53.89/34.08 tff(11124,plain,
% 53.89/34.08 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB30, 1)) | v129(constB30, 1) | (~v100(constB30))),
% 53.89/34.08 inference(modus_ponens,[status(thm)],[11123, 11122])).
% 53.89/34.08 tff(11125,plain,
% 53.89/34.08 (v129(constB30, 1) | (~v100(constB30))),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[11124, 1309, 11074])).
% 53.89/34.08 tff(11126,plain,
% 53.89/34.08 (v129(constB30, 1)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[11125, 11083])).
% 53.89/34.08 tff(11127,plain,
% 53.89/34.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB29, constB30)) | v127(constB29, 1) | (~v129(constB30, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB29, constB30)) | v127(constB29, 1) | (~v129(constB30, 1)))),
% 53.89/34.08 inference(rewrite,[status(thm)],[])).
% 53.89/34.08 tff(11128,plain,
% 53.89/34.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB29, constB30)) | v127(constB29, 1) | (~v129(constB30, 1)))),
% 53.89/34.08 inference(quant_inst,[status(thm)],[])).
% 53.89/34.08 tff(11129,plain,
% 53.89/34.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB29, constB30)) | v127(constB29, 1) | (~v129(constB30, 1))),
% 53.89/34.08 inference(modus_ponens,[status(thm)],[11128, 11127])).
% 53.89/34.08 tff(11130,plain,
% 53.89/34.08 (v127(constB29, 1) | (~v129(constB30, 1))),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[11129, 1294, 6569])).
% 53.89/34.08 tff(11131,plain,
% 53.89/34.08 (v127(constB29, 1)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[11130, 11126])).
% 53.89/34.08 tff(11132,plain,
% 53.89/34.08 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB29, 1)) | v26(constB29) | v130(constB29, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB29, 1)) | v26(constB29) | v130(constB29, 1))),
% 53.89/34.08 inference(rewrite,[status(thm)],[])).
% 53.89/34.08 tff(11133,plain,
% 53.89/34.08 ((v26(constB29) | v130(constB29, 1) | (~v127(constB29, 1))) <=> ((~v127(constB29, 1)) | v26(constB29) | v130(constB29, 1))),
% 53.89/34.08 inference(rewrite,[status(thm)],[])).
% 53.89/34.08 tff(11134,plain,
% 53.89/34.08 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB29) | v130(constB29, 1) | (~v127(constB29, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB29, 1)) | v26(constB29) | v130(constB29, 1)))),
% 53.89/34.08 inference(monotonicity,[status(thm)],[11133])).
% 53.89/34.08 tff(11135,plain,
% 53.89/34.08 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB29) | v130(constB29, 1) | (~v127(constB29, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB29, 1)) | v26(constB29) | v130(constB29, 1))),
% 53.89/34.08 inference(transitivity,[status(thm)],[11134, 11132])).
% 53.89/34.08 tff(11136,plain,
% 53.89/34.08 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB29) | v130(constB29, 1) | (~v127(constB29, 1)))),
% 53.89/34.08 inference(quant_inst,[status(thm)],[])).
% 53.89/34.08 tff(11137,plain,
% 53.89/34.08 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB29, 1)) | v26(constB29) | v130(constB29, 1)),
% 53.89/34.08 inference(modus_ponens,[status(thm)],[11136, 11135])).
% 53.89/34.08 tff(11138,plain,
% 53.89/34.08 ((~v127(constB29, 1)) | v130(constB29, 1)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[11137, 1276, 6554])).
% 53.89/34.08 tff(11139,plain,
% 53.89/34.08 (v130(constB29, 1)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[11138, 11131])).
% 53.89/34.08 tff(11140,plain,
% 53.89/34.08 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB29)) | (~v130(constB29, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB29)) | (~v130(constB29, 1)))),
% 53.89/34.08 inference(rewrite,[status(thm)],[])).
% 53.89/34.08 tff(11141,plain,
% 53.89/34.08 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB29)) | (~v130(constB29, 1)))),
% 53.89/34.08 inference(quant_inst,[status(thm)],[])).
% 53.89/34.08 tff(11142,plain,
% 53.89/34.08 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB29)) | (~v130(constB29, 1))),
% 53.89/34.08 inference(modus_ponens,[status(thm)],[11141, 11140])).
% 53.89/34.08 tff(11143,plain,
% 53.89/34.08 (~v123(constB29)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[11142, 2581, 11139])).
% 53.89/34.08 tff(11144,plain,
% 53.89/34.08 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB29)) | (~v130(constB29, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB29)) | (~v130(constB29, 1)))),
% 53.89/34.08 inference(rewrite,[status(thm)],[])).
% 53.89/34.08 tff(11145,plain,
% 53.89/34.08 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB29)) | (~v130(constB29, 1)))),
% 53.89/34.08 inference(quant_inst,[status(thm)],[])).
% 53.89/34.08 tff(11146,plain,
% 53.89/34.08 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB29)) | (~v130(constB29, 1))),
% 53.89/34.08 inference(modus_ponens,[status(thm)],[11145, 11144])).
% 53.89/34.08 tff(11147,plain,
% 53.89/34.08 (~v119(constB29)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[11146, 1262, 11139])).
% 53.89/34.08 tff(11148,assumption,(~v90(constB29, 0)), introduced(assumption)).
% 53.89/34.08 tff(11149,plain,
% 53.89/34.08 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB29, 0) | v90(constB29, 1) | (~v90(constB29, 2)) | v123(constB29))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB29, 0) | v90(constB29, 1) | (~v90(constB29, 2)) | v123(constB29))),
% 53.89/34.08 inference(rewrite,[status(thm)],[])).
% 53.89/34.08 tff(11150,plain,
% 53.89/34.08 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB29, 0) | v90(constB29, 1) | (~v90(constB29, 2)) | v123(constB29))),
% 53.89/34.08 inference(quant_inst,[status(thm)],[])).
% 53.89/34.08 tff(11151,plain,
% 53.89/34.08 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB29, 0) | v90(constB29, 1) | (~v90(constB29, 2)) | v123(constB29)),
% 53.89/34.08 inference(modus_ponens,[status(thm)],[11150, 11149])).
% 53.89/34.08 tff(11152,plain,
% 53.89/34.08 (v90(constB29, 0) | v90(constB29, 1) | (~v90(constB29, 2))),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[11151, 2308, 6858])).
% 53.89/34.08 tff(11153,plain,
% 53.89/34.08 (~v90(constB29, 2)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[11152, 11148, 11075])).
% 53.89/34.08 tff(11154,plain,
% 53.89/34.08 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB29, 0) | v90(constB29, 1) | v90(constB29, 2) | v119(constB29))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB29, 0) | v90(constB29, 1) | v90(constB29, 2) | v119(constB29))),
% 53.89/34.08 inference(rewrite,[status(thm)],[])).
% 53.89/34.08 tff(11155,plain,
% 53.89/34.08 ((v90(constB29, 0) | v119(constB29) | v90(constB29, 1) | v90(constB29, 2)) <=> (v90(constB29, 0) | v90(constB29, 1) | v90(constB29, 2) | v119(constB29))),
% 53.89/34.08 inference(rewrite,[status(thm)],[])).
% 53.89/34.08 tff(11156,plain,
% 53.89/34.08 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB29, 0) | v119(constB29) | v90(constB29, 1) | v90(constB29, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB29, 0) | v90(constB29, 1) | v90(constB29, 2) | v119(constB29)))),
% 53.89/34.08 inference(monotonicity,[status(thm)],[11155])).
% 53.89/34.08 tff(11157,plain,
% 53.89/34.08 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB29, 0) | v119(constB29) | v90(constB29, 1) | v90(constB29, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB29, 0) | v90(constB29, 1) | v90(constB29, 2) | v119(constB29))),
% 53.89/34.08 inference(transitivity,[status(thm)],[11156, 11154])).
% 53.89/34.08 tff(11158,plain,
% 53.89/34.08 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB29, 0) | v119(constB29) | v90(constB29, 1) | v90(constB29, 2))),
% 53.89/34.08 inference(quant_inst,[status(thm)],[])).
% 53.89/34.08 tff(11159,plain,
% 53.89/34.08 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB29, 0) | v90(constB29, 1) | v90(constB29, 2) | v119(constB29)),
% 53.89/34.08 inference(modus_ponens,[status(thm)],[11158, 11157])).
% 53.89/34.08 tff(11160,plain,
% 53.89/34.08 (v90(constB29, 0) | v90(constB29, 1) | v90(constB29, 2)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[11159, 968, 6859])).
% 53.89/34.08 tff(11161,plain,
% 53.89/34.08 ($false),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[11160, 11153, 11148, 11075])).
% 53.89/34.08 tff(11162,plain,(v90(constB29, 0) | v90(constB29, 1) | v119(constB29) | v123(constB29)), inference(lemma,lemma(discharge,[]))).
% 53.89/34.08 tff(11163,plain,
% 53.89/34.08 (v90(constB29, 0)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[11162, 11075, 6859, 6858])).
% 53.89/34.08 tff(11164,plain,
% 53.89/34.08 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB29, 0)) | v90(constB29, 1) | (~v90(constB29, 2)) | v124(constB29))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB29, 0)) | v90(constB29, 1) | (~v90(constB29, 2)) | v124(constB29))),
% 53.89/34.08 inference(rewrite,[status(thm)],[])).
% 53.89/34.08 tff(11165,plain,
% 53.89/34.08 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB29, 0)) | v90(constB29, 1) | (~v90(constB29, 2)) | v124(constB29))),
% 53.89/34.08 inference(quant_inst,[status(thm)],[])).
% 53.89/34.08 tff(11166,plain,
% 53.89/34.08 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB29, 0)) | v90(constB29, 1) | (~v90(constB29, 2)) | v124(constB29)),
% 53.89/34.08 inference(modus_ponens,[status(thm)],[11165, 11164])).
% 53.89/34.08 tff(11167,plain,
% 53.89/34.08 ((~v90(constB29, 0)) | v90(constB29, 1) | (~v90(constB29, 2))),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[11166, 2663, 6860])).
% 53.89/34.08 tff(11168,plain,
% 53.89/34.08 (~v90(constB29, 2)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[11167, 11163, 11075])).
% 53.89/34.08 tff(11169,plain,
% 53.89/34.08 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB29, 0)) | v90(constB29, 1) | v90(constB29, 2) | v120(constB29))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB29, 0)) | v90(constB29, 1) | v90(constB29, 2) | v120(constB29))),
% 53.89/34.08 inference(rewrite,[status(thm)],[])).
% 53.89/34.08 tff(11170,plain,
% 53.89/34.08 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB29, 0)) | v90(constB29, 1) | v90(constB29, 2) | v120(constB29))),
% 53.89/34.08 inference(quant_inst,[status(thm)],[])).
% 53.89/34.08 tff(11171,plain,
% 53.89/34.08 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB29, 0)) | v90(constB29, 1) | v90(constB29, 2) | v120(constB29)),
% 53.89/34.08 inference(modus_ponens,[status(thm)],[11170, 11169])).
% 53.89/34.08 tff(11172,plain,
% 53.89/34.08 ((~v90(constB29, 0)) | v90(constB29, 1) | v90(constB29, 2)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[11171, 1414, 6857])).
% 53.89/34.08 tff(11173,plain,
% 53.89/34.08 ($false),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[11172, 11168, 11163, 11075])).
% 53.89/34.08 tff(11174,plain,(v90(constB29, 1) | v120(constB29) | v124(constB29) | v119(constB29) | v123(constB29)), inference(lemma,lemma(discharge,[]))).
% 53.89/34.08 tff(11175,plain,
% 53.89/34.08 ($false),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[11174, 11147, 11143, 11075, 11118, 11092])).
% 53.89/34.08 tff(11176,plain,(v90(constB29, 1) | (~v90(constB30, 0)) | (~v90(constB30, 2)) | (~v90(constB30, 1))), inference(lemma,lemma(discharge,[]))).
% 53.89/34.08 tff(11177,plain,
% 53.89/34.08 (v90(constB29, 1)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[11176, 11073, 11047, 11064])).
% 53.89/34.08 tff(11178,assumption,(v90(constB29, 1)), introduced(assumption)).
% 53.89/34.08 tff(11179,assumption,(v122(constB29)), introduced(assumption)).
% 53.89/34.08 tff(11180,plain,
% 53.89/34.08 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB29)) | v116(constB29))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB29)) | v116(constB29))),
% 53.89/34.08 inference(rewrite,[status(thm)],[])).
% 53.89/34.08 tff(11181,plain,
% 53.89/34.08 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB29)) | v116(constB29))),
% 53.89/34.08 inference(quant_inst,[status(thm)],[])).
% 53.89/34.08 tff(11182,plain,
% 53.89/34.08 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB29)) | v116(constB29)),
% 53.89/34.08 inference(modus_ponens,[status(thm)],[11181, 11180])).
% 53.89/34.08 tff(11183,plain,
% 53.89/34.08 (v116(constB29)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[11182, 2120, 11179])).
% 53.89/34.08 tff(11184,plain,
% 53.89/34.08 (v115(constB29)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[6535, 1021, 11183])).
% 53.89/34.08 tff(11185,plain,
% 53.89/34.08 (v114(constB29)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[6542, 1035, 11184])).
% 53.89/34.08 tff(11186,plain,
% 53.89/34.08 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB29)) | (~v130(constB29, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB29)) | (~v130(constB29, 0)))),
% 53.89/34.08 inference(rewrite,[status(thm)],[])).
% 53.89/34.08 tff(11187,plain,
% 53.89/34.08 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB29)) | (~v130(constB29, 0)))),
% 53.89/34.08 inference(quant_inst,[status(thm)],[])).
% 53.89/34.08 tff(11188,plain,
% 53.89/34.08 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB29)) | (~v130(constB29, 0))),
% 53.89/34.08 inference(modus_ponens,[status(thm)],[11187, 11186])).
% 53.89/34.08 tff(11189,plain,
% 53.89/34.08 (~v130(constB29, 0)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[11188, 2407, 11179])).
% 53.89/34.08 tff(11190,plain,
% 53.89/34.08 (~v127(constB29, 0)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[11113, 11189])).
% 53.89/34.08 tff(11191,plain,
% 53.89/34.08 (~v129(constB30, 0)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[11105, 11190])).
% 53.89/34.08 tff(11192,plain,
% 53.89/34.08 (~v100(constB30)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[11100, 11191])).
% 53.89/34.08 tff(11193,plain,
% 53.89/34.08 (~v110(constB30)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[6599, 11192])).
% 53.89/34.08 tff(11194,plain,
% 53.89/34.08 (~v108(constB29)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[6576, 11193])).
% 53.89/34.08 tff(11195,plain,
% 53.89/34.08 (~v112(constB29)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[6565, 1075, 11194])).
% 53.89/34.08 tff(11196,plain,
% 53.89/34.08 (~v113(constB29)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[6558, 11195])).
% 53.89/34.08 tff(11197,plain,
% 53.89/34.08 ($false),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[6549, 1049, 11196, 11185])).
% 53.89/34.08 tff(11198,plain,((~v122(constB29)) | (~v90(constB30, 0))), inference(lemma,lemma(discharge,[]))).
% 53.89/34.08 tff(11199,plain,
% 53.89/34.08 (~v122(constB29)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[11198, 11093])).
% 53.89/34.08 tff(11200,assumption,(v124(constB23)), introduced(assumption)).
% 53.89/34.08 tff(11201,plain,
% 53.89/34.08 (v114(constB23)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[4532, 2674, 11200])).
% 53.89/34.08 tff(11202,plain,
% 53.89/34.08 (v113(constB23)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[4539, 1049, 11201])).
% 53.89/34.08 tff(11203,plain,
% 53.89/34.08 (v112(constB23)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[4551, 11202])).
% 53.89/34.08 tff(11204,plain,
% 53.89/34.08 (v108(constB23)),
% 53.89/34.08 inference(unit_resolution,[status(thm)],[4558, 1075, 11203])).
% 53.89/34.09 tff(11205,plain,
% 53.89/34.09 (v110(constB24)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[4569, 11204])).
% 53.89/34.09 tff(11206,plain,
% 53.89/34.09 (v100(constB24)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[4592, 11205])).
% 53.89/34.09 tff(11207,plain,
% 53.89/34.09 (v130(constB23, 2)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[4596, 2741, 11200])).
% 53.89/34.09 tff(11208,plain,
% 53.89/34.09 (v127(constB23, 2)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[4601, 11207])).
% 53.89/34.09 tff(11209,plain,
% 53.89/34.09 (v129(constB24, 2)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[4606, 11208])).
% 53.89/34.09 tff(11210,plain,
% 53.89/34.09 (v90(constB24, 2) | (~v100(constB24))),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[4613, 2324, 11209])).
% 53.89/34.09 tff(11211,plain,
% 53.89/34.09 (v90(constB24, 2)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[11210, 11206])).
% 53.89/34.09 tff(11212,plain,
% 53.89/34.09 (v90(constB25, 2)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[4641, 11211])).
% 53.89/34.09 tff(11213,plain,
% 53.89/34.09 (v130(constB23, 1)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[4649, 2808, 11200])).
% 53.89/34.09 tff(11214,plain,
% 53.89/34.09 (v127(constB23, 1)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[4654, 11213])).
% 53.89/34.09 tff(11215,plain,
% 53.89/34.09 (v129(constB24, 1)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[4659, 11214])).
% 53.89/34.09 tff(11216,plain,
% 53.89/34.09 (v90(constB24, 1) | (~v100(constB24))),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[4666, 1623, 11215])).
% 53.89/34.09 tff(11217,plain,
% 53.89/34.09 (v90(constB24, 1)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[11216, 11206])).
% 53.89/34.09 tff(11218,plain,
% 53.89/34.09 (v90(constB25, 1)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[4676, 11217])).
% 53.89/34.09 tff(11219,plain,
% 53.89/34.09 (~v130(constB23, 0)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[5660, 3274, 11200])).
% 53.89/34.09 tff(11220,plain,
% 53.89/34.09 (~v127(constB23, 0)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[5408, 11219])).
% 53.89/34.09 tff(11221,plain,
% 53.89/34.09 (~v129(constB24, 0)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[5400, 11220])).
% 53.89/34.09 tff(11222,plain,
% 53.89/34.09 ((~v90(constB24, 0)) | (~v100(constB24))),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[5394, 1704, 11221])).
% 53.89/34.09 tff(11223,plain,
% 53.89/34.09 (~v90(constB24, 0)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[11222, 11206])).
% 53.89/34.09 tff(11224,plain,
% 53.89/34.09 (~v90(constB25, 0)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[5387, 11223])).
% 53.89/34.09 tff(11225,plain,
% 53.89/34.09 (v125(constB25)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[5011, 2279, 11224, 11218, 11212])).
% 53.89/34.09 tff(11226,plain,
% 53.89/34.09 (v113(constB25)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[5007, 2262, 11225])).
% 53.89/34.09 tff(11227,plain,
% 53.89/34.09 (v112(constB25)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[4986, 11226])).
% 53.89/34.09 tff(11228,plain,
% 53.89/34.09 (v108(constB25)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[4794, 1075, 11227])).
% 53.89/34.09 tff(11229,plain,
% 53.89/34.09 (v110(constB26)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[4787, 11228])).
% 53.89/34.09 tff(11230,plain,
% 53.89/34.09 (v100(constB26)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[4752, 11229])).
% 53.89/34.09 tff(11231,plain,
% 53.89/34.09 (~v122(constB25)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[4645, 2797, 11212])).
% 53.89/34.09 tff(11232,plain,
% 53.89/34.09 (~v124(constB25)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[4680, 2890, 11218])).
% 53.89/34.09 tff(11233,plain,
% 53.89/34.09 (~v123(constB25)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[4684, 2879, 11218])).
% 53.89/34.09 tff(11234,plain,
% 53.89/34.09 (~v130(constB25, 2)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[4707, 11233, 11232, 11231])).
% 53.89/34.09 tff(11235,plain,
% 53.89/34.09 (~v127(constB25, 2)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[4719, 11234])).
% 53.89/34.09 tff(11236,plain,
% 53.89/34.09 (~v129(constB26, 2)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[4727, 11235])).
% 53.89/34.09 tff(11237,plain,
% 53.89/34.09 ((~v90(constB26, 2)) | (~v100(constB26))),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[6153, 1223, 11236])).
% 53.89/34.09 tff(11238,plain,
% 53.89/34.09 (~v90(constB26, 2)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[11237, 11230])).
% 53.89/34.09 tff(11239,plain,
% 53.89/34.09 (~v90(constB27, 2)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[6180, 11238])).
% 53.89/34.09 tff(11240,plain,
% 53.89/34.09 (~v119(constB25)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[6346, 2868, 11218])).
% 53.89/34.09 tff(11241,plain,
% 53.89/34.09 (~v121(constB25)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[6350, 2857, 11212])).
% 53.89/34.09 tff(11242,plain,
% 53.89/34.09 (~v120(constB25)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[6354, 2846, 11218])).
% 53.89/34.09 tff(11243,plain,
% 53.89/34.09 (~v130(constB25, 1)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[6358, 3309, 11233, 11232, 11231, 11242, 11241, 11240])).
% 53.89/34.09 tff(11244,plain,
% 53.89/34.09 (~v127(constB25, 1)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[6366, 11243])).
% 53.89/34.09 tff(11245,plain,
% 53.89/34.09 (~v129(constB26, 1)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[6371, 11244])).
% 53.89/34.09 tff(11246,plain,
% 53.89/34.09 ((~v90(constB26, 1)) | (~v100(constB26))),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[6378, 1309, 11245])).
% 53.89/34.09 tff(11247,plain,
% 53.89/34.09 (~v90(constB26, 1)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[11246, 11230])).
% 53.89/34.09 tff(11248,plain,
% 53.89/34.09 (~v90(constB27, 1)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[6388, 11247])).
% 53.89/34.09 tff(11249,assumption,(~v120(constB33)), introduced(assumption)).
% 53.89/34.09 tff(11250,assumption,(~v124(constB33)), introduced(assumption)).
% 53.89/34.09 tff(11251,assumption,(v100(constB26)), introduced(assumption)).
% 53.89/34.09 tff(11252,plain,
% 53.89/34.09 (v90(constB26, 0) | (~v129(constB26, 0))),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[4926, 1377, 11251])).
% 53.89/34.09 tff(11253,plain,
% 53.89/34.09 (~v129(constB26, 0)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[11252, 4770])).
% 53.89/34.09 tff(11254,plain,
% 53.89/34.09 (~v127(constB25, 0)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[4932, 11253])).
% 53.89/34.09 tff(11255,plain,
% 53.89/34.09 (~v130(constB25, 0)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[4937, 11254])).
% 53.89/34.09 tff(11256,plain,
% 53.89/34.09 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB25)) | v130(constB25, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB25)) | v130(constB25, 0))),
% 53.89/34.09 inference(rewrite,[status(thm)],[])).
% 53.89/34.09 tff(11257,plain,
% 53.89/34.09 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB25)) | v130(constB25, 0))),
% 53.89/34.09 inference(quant_inst,[status(thm)],[])).
% 53.89/34.09 tff(11258,plain,
% 53.89/34.09 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB25)) | v130(constB25, 0)),
% 53.89/34.09 inference(modus_ponens,[status(thm)],[11257, 11256])).
% 53.89/34.09 tff(11259,plain,
% 53.89/34.09 (~v123(constB25)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[11258, 2622, 11255])).
% 53.89/34.09 tff(11260,plain,
% 53.89/34.09 (~v130(constB25, 2)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[4707, 11259, 4700, 4699])).
% 53.89/34.09 tff(11261,plain,
% 53.89/34.09 (~v127(constB25, 2)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[4719, 11260])).
% 53.89/34.09 tff(11262,plain,
% 53.89/34.09 (~v129(constB26, 2)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[4727, 11261])).
% 53.89/34.09 tff(11263,plain,
% 53.89/34.09 ((~v90(constB26, 2)) | v129(constB26, 2)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[6153, 1223, 11251])).
% 53.89/34.09 tff(11264,plain,
% 53.89/34.09 (~v90(constB26, 2)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[11263, 11262])).
% 53.89/34.09 tff(11265,plain,
% 53.89/34.09 (~v90(constB27, 2)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[6180, 11264])).
% 53.89/34.09 tff(11266,plain,
% 53.89/34.09 (v90(constB26, 1)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[4964, 11264, 4770])).
% 53.89/34.09 tff(11267,plain,
% 53.89/34.09 (v90(constB27, 1)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[6834, 11266])).
% 53.89/34.09 tff(11268,plain,
% 53.89/34.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB26, 0) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB26, 0) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 0)))),
% 53.89/34.09 inference(rewrite,[status(thm)],[])).
% 53.89/34.09 tff(11269,plain,
% 53.89/34.09 (((~nextState(constB26, constB27)) | v90(constB26, 0) | v100(constB27) | (~v90(constB27, 0))) <=> (v90(constB26, 0) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 0)))),
% 53.89/34.09 inference(rewrite,[status(thm)],[])).
% 53.89/34.09 tff(11270,plain,
% 53.89/34.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB26, constB27)) | v90(constB26, 0) | v100(constB27) | (~v90(constB27, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB26, 0) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 0))))),
% 53.89/34.09 inference(monotonicity,[status(thm)],[11269])).
% 53.89/34.09 tff(11271,plain,
% 53.89/34.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB26, constB27)) | v90(constB26, 0) | v100(constB27) | (~v90(constB27, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB26, 0) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 0)))),
% 53.89/34.09 inference(transitivity,[status(thm)],[11270, 11268])).
% 53.89/34.09 tff(11272,plain,
% 53.89/34.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB26, constB27)) | v90(constB26, 0) | v100(constB27) | (~v90(constB27, 0)))),
% 53.89/34.09 inference(quant_inst,[status(thm)],[])).
% 53.89/34.09 tff(11273,plain,
% 53.89/34.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB26, 0) | (~nextState(constB26, constB27)) | v100(constB27) | (~v90(constB27, 0))),
% 53.89/34.09 inference(modus_ponens,[status(thm)],[11272, 11271])).
% 53.89/34.09 tff(11274,plain,
% 53.89/34.09 (v90(constB26, 0) | v100(constB27) | (~v90(constB27, 0))),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[11273, 947, 6160])).
% 53.89/34.09 tff(11275,plain,
% 53.89/34.09 (v90(constB26, 0) | (~v90(constB27, 0))),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[11274, 6172])).
% 53.89/34.09 tff(11276,plain,
% 53.89/34.09 (~v90(constB27, 0)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[11275, 4770])).
% 53.89/34.09 tff(11277,plain,
% 53.89/34.09 ((~v90(constB27, 1)) | v90(constB27, 2) | v121(constB27)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[6268, 1731, 11276])).
% 53.89/34.09 tff(11278,plain,
% 53.89/34.09 (v121(constB27)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[11277, 11267, 11265])).
% 53.89/34.09 tff(11279,plain,
% 53.89/34.09 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB27)) | v130(constB27, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB27)) | v130(constB27, 1))),
% 53.89/34.09 inference(rewrite,[status(thm)],[])).
% 53.89/34.09 tff(11280,plain,
% 53.89/34.09 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB27)) | v130(constB27, 1))),
% 53.89/34.09 inference(quant_inst,[status(thm)],[])).
% 53.89/34.09 tff(11281,plain,
% 53.89/34.09 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB27)) | v130(constB27, 1)),
% 53.89/34.09 inference(modus_ponens,[status(thm)],[11280, 11279])).
% 53.89/34.09 tff(11282,plain,
% 53.89/34.09 (v130(constB27, 1)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[11281, 1877, 11278])).
% 53.89/34.09 tff(11283,plain,
% 53.89/34.09 (v127(constB27, 1)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[6460, 11282])).
% 53.89/34.09 tff(11284,plain,
% 53.89/34.09 (v129(constB28, 1)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[6465, 11283])).
% 53.89/34.09 tff(11285,assumption,(v121(constB27)), introduced(assumption)).
% 53.89/34.09 tff(11286,plain,
% 53.89/34.09 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB27)) | v130(constB27, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB27)) | v130(constB27, 0))),
% 53.89/34.09 inference(rewrite,[status(thm)],[])).
% 53.89/34.09 tff(11287,plain,
% 53.89/34.09 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB27)) | v130(constB27, 0))),
% 53.89/34.09 inference(quant_inst,[status(thm)],[])).
% 53.89/34.09 tff(11288,plain,
% 53.89/34.09 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB27)) | v130(constB27, 0)),
% 53.89/34.09 inference(modus_ponens,[status(thm)],[11287, 11286])).
% 53.89/34.09 tff(11289,plain,
% 53.89/34.09 (v130(constB27, 0)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[11288, 1915, 11285])).
% 53.89/34.09 tff(11290,plain,
% 53.89/34.09 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB27) | (~v130(constB27, 0)) | v127(constB27, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB27) | (~v130(constB27, 0)) | v127(constB27, 0))),
% 53.89/34.09 inference(rewrite,[status(thm)],[])).
% 53.89/34.09 tff(11291,plain,
% 53.89/34.09 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB27) | (~v130(constB27, 0)) | v127(constB27, 0))),
% 53.89/34.09 inference(quant_inst,[status(thm)],[])).
% 53.89/34.09 tff(11292,plain,
% 53.89/34.09 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB27) | (~v130(constB27, 0)) | v127(constB27, 0)),
% 53.89/34.09 inference(modus_ponens,[status(thm)],[11291, 11290])).
% 53.89/34.09 tff(11293,plain,
% 53.89/34.09 ((~v130(constB27, 0)) | v127(constB27, 0)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[11292, 1347, 6294])).
% 53.89/34.09 tff(11294,plain,
% 53.89/34.09 (v127(constB27, 0)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[11293, 11289])).
% 53.89/34.09 tff(11295,plain,
% 53.89/34.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB27, constB28)) | (~v127(constB27, 0)) | v129(constB28, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB27, constB28)) | (~v127(constB27, 0)) | v129(constB28, 0))),
% 53.89/34.09 inference(rewrite,[status(thm)],[])).
% 53.89/34.09 tff(11296,plain,
% 53.89/34.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB27, constB28)) | (~v127(constB27, 0)) | v129(constB28, 0))),
% 53.89/34.09 inference(quant_inst,[status(thm)],[])).
% 53.89/34.09 tff(11297,plain,
% 53.89/34.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB27, constB28)) | (~v127(constB27, 0)) | v129(constB28, 0)),
% 53.89/34.09 inference(modus_ponens,[status(thm)],[11296, 11295])).
% 53.89/34.09 tff(11298,plain,
% 53.89/34.09 ((~v127(constB27, 0)) | v129(constB28, 0)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[11297, 1362, 6312])).
% 53.89/34.09 tff(11299,plain,
% 53.89/34.09 (v129(constB28, 0)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[11298, 11294])).
% 53.89/34.09 tff(11300,assumption,(~v90(constB28, 0)), introduced(assumption)).
% 53.89/34.09 tff(11301,plain,
% 53.89/34.09 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB28, 0) | (~v129(constB28, 0)) | (~v100(constB28)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB28, 0) | (~v129(constB28, 0)) | (~v100(constB28)))),
% 53.89/34.09 inference(rewrite,[status(thm)],[])).
% 53.89/34.09 tff(11302,plain,
% 53.89/34.09 ((v90(constB28, 0) | (~v100(constB28)) | (~v129(constB28, 0))) <=> (v90(constB28, 0) | (~v129(constB28, 0)) | (~v100(constB28)))),
% 53.89/34.09 inference(rewrite,[status(thm)],[])).
% 53.89/34.09 tff(11303,plain,
% 53.89/34.09 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB28, 0) | (~v100(constB28)) | (~v129(constB28, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB28, 0) | (~v129(constB28, 0)) | (~v100(constB28))))),
% 53.89/34.09 inference(monotonicity,[status(thm)],[11302])).
% 53.89/34.09 tff(11304,plain,
% 53.89/34.09 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB28, 0) | (~v100(constB28)) | (~v129(constB28, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB28, 0) | (~v129(constB28, 0)) | (~v100(constB28)))),
% 53.89/34.09 inference(transitivity,[status(thm)],[11303, 11301])).
% 53.89/34.09 tff(11305,plain,
% 53.89/34.09 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB28, 0) | (~v100(constB28)) | (~v129(constB28, 0)))),
% 53.89/34.09 inference(quant_inst,[status(thm)],[])).
% 53.89/34.09 tff(11306,plain,
% 53.89/34.09 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB28, 0) | (~v129(constB28, 0)) | (~v100(constB28))),
% 53.89/34.09 inference(modus_ponens,[status(thm)],[11305, 11304])).
% 53.89/34.09 tff(11307,plain,
% 53.89/34.09 ((~v129(constB28, 0)) | (~v100(constB28))),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[11306, 1377, 11300])).
% 53.89/34.09 tff(11308,plain,
% 53.89/34.09 (~v100(constB28)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[11307, 11299])).
% 53.89/34.09 tff(11309,plain,
% 53.89/34.09 (~v110(constB28)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[6342, 11308])).
% 53.89/34.09 tff(11310,plain,
% 53.89/34.09 (~v108(constB27)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[6319, 11309])).
% 53.89/34.09 tff(11311,plain,
% 53.89/34.09 (~v112(constB27)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[6308, 1075, 11310])).
% 53.89/34.09 tff(11312,plain,
% 53.89/34.09 (~v113(constB27)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[6301, 11311])).
% 53.89/34.09 tff(11313,plain,
% 53.89/34.09 (~v114(constB27)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[6289, 1049, 11312])).
% 53.89/34.09 tff(11314,plain,
% 53.89/34.09 (v117(constB27)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[6195, 1742, 11285])).
% 53.89/34.09 tff(11315,plain,
% 53.89/34.09 (v116(constB27)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[6188, 1007, 11314])).
% 53.89/34.09 tff(11316,plain,
% 53.89/34.09 (v115(constB27)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[6278, 1021, 11315])).
% 53.89/34.09 tff(11317,plain,
% 53.89/34.09 ($false),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[6285, 1035, 11316, 11313])).
% 53.89/34.09 tff(11318,plain,((~v121(constB27)) | v90(constB28, 0)), inference(lemma,lemma(discharge,[]))).
% 53.89/34.09 tff(11319,plain,
% 53.89/34.09 (v90(constB28, 0)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[11318, 11278])).
% 53.89/34.09 tff(11320,plain,
% 53.89/34.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB27, 0) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB27, 0) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 0)))),
% 53.89/34.09 inference(rewrite,[status(thm)],[])).
% 53.89/34.09 tff(11321,plain,
% 53.89/34.09 (((~nextState(constB27, constB28)) | v90(constB27, 0) | v100(constB28) | (~v90(constB28, 0))) <=> (v90(constB27, 0) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 0)))),
% 53.89/34.09 inference(rewrite,[status(thm)],[])).
% 53.89/34.09 tff(11322,plain,
% 53.89/34.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB27, constB28)) | v90(constB27, 0) | v100(constB28) | (~v90(constB28, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB27, 0) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 0))))),
% 53.89/34.09 inference(monotonicity,[status(thm)],[11321])).
% 53.89/34.09 tff(11323,plain,
% 53.89/34.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB27, constB28)) | v90(constB27, 0) | v100(constB28) | (~v90(constB28, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB27, 0) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 0)))),
% 53.89/34.09 inference(transitivity,[status(thm)],[11322, 11320])).
% 53.89/34.09 tff(11324,plain,
% 53.89/34.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB27, constB28)) | v90(constB27, 0) | v100(constB28) | (~v90(constB28, 0)))),
% 53.89/34.09 inference(quant_inst,[status(thm)],[])).
% 53.89/34.09 tff(11325,plain,
% 53.89/34.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB27, 0) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 0))),
% 53.89/34.09 inference(modus_ponens,[status(thm)],[11324, 11323])).
% 53.89/34.09 tff(11326,plain,
% 53.89/34.09 (v90(constB27, 0) | v100(constB28) | (~v90(constB28, 0))),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[11325, 947, 6312])).
% 53.89/34.09 tff(11327,plain,
% 53.89/34.09 (v100(constB28)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[11326, 11319, 11276])).
% 53.89/34.09 tff(11328,plain,
% 53.89/34.09 (v90(constB28, 1) | (~v129(constB28, 1))),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[6472, 1623, 11327])).
% 53.89/34.09 tff(11329,plain,
% 53.89/34.09 (v90(constB28, 1)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[11328, 11284])).
% 53.89/34.09 tff(11330,plain,
% 53.89/34.09 (v90(constB29, 1)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[6482, 11329])).
% 53.89/34.09 tff(11331,plain,
% 53.89/34.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB28, 0)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB28, 0)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, 0))),
% 53.89/34.09 inference(rewrite,[status(thm)],[])).
% 53.89/34.09 tff(11332,plain,
% 53.89/34.09 (((~nextState(constB28, constB29)) | (~v90(constB28, 0)) | v100(constB29) | v90(constB29, 0)) <=> ((~v90(constB28, 0)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, 0))),
% 53.89/34.09 inference(rewrite,[status(thm)],[])).
% 53.89/34.09 tff(11333,plain,
% 53.89/34.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB28, constB29)) | (~v90(constB28, 0)) | v100(constB29) | v90(constB29, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB28, 0)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, 0)))),
% 53.89/34.09 inference(monotonicity,[status(thm)],[11332])).
% 53.89/34.09 tff(11334,plain,
% 53.89/34.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB28, constB29)) | (~v90(constB28, 0)) | v100(constB29) | v90(constB29, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB28, 0)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, 0))),
% 53.89/34.09 inference(transitivity,[status(thm)],[11333, 11331])).
% 53.89/34.09 tff(11335,plain,
% 53.89/34.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB28, constB29)) | (~v90(constB28, 0)) | v100(constB29) | v90(constB29, 0))),
% 53.89/34.09 inference(quant_inst,[status(thm)],[])).
% 53.89/34.09 tff(11336,plain,
% 53.89/34.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB28, 0)) | (~nextState(constB28, constB29)) | v100(constB29) | v90(constB29, 0)),
% 53.89/34.09 inference(modus_ponens,[status(thm)],[11335, 11334])).
% 53.89/34.09 tff(11337,plain,
% 53.89/34.09 ((~v90(constB28, 0)) | v100(constB29) | v90(constB29, 0)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[11336, 1395, 6431])).
% 53.89/34.09 tff(11338,plain,
% 53.89/34.09 ((~v90(constB28, 0)) | v90(constB29, 0)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[11337, 6443])).
% 53.89/34.09 tff(11339,plain,
% 53.89/34.09 (v90(constB29, 0)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[11338, 11319])).
% 53.89/34.09 tff(11340,plain,
% 53.89/34.09 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v121(constB29)) | (~v90(constB29, 0)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | (~v121(constB29)) | (~v90(constB29, 0)))),
% 53.89/34.09 inference(rewrite,[status(thm)],[])).
% 53.89/34.09 tff(11341,plain,
% 53.89/34.09 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v121(constB29)) | (~v90(constB29, 0)))),
% 53.89/34.09 inference(quant_inst,[status(thm)],[])).
% 53.89/34.09 tff(11342,plain,
% 53.89/34.09 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | (~v121(constB29)) | (~v90(constB29, 0))),
% 53.89/34.09 inference(modus_ponens,[status(thm)],[11341, 11340])).
% 53.89/34.09 tff(11343,plain,
% 53.89/34.09 (~v121(constB29)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[11342, 5876, 11339])).
% 53.89/34.09 tff(11344,plain,
% 53.89/34.09 (~v130(constB27, 2)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[6684, 1821, 11278])).
% 53.89/34.09 tff(11345,plain,
% 53.89/34.09 (~v127(constB27, 2)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[6414, 11344])).
% 53.89/34.09 tff(11346,plain,
% 53.89/34.09 (~v129(constB28, 2)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[6419, 11345])).
% 53.89/34.09 tff(11347,plain,
% 53.89/34.09 ((~v90(constB28, 2)) | v129(constB28, 2)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[6423, 1223, 11327])).
% 53.89/34.09 tff(11348,plain,
% 53.89/34.09 (~v90(constB28, 2)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[11347, 11346])).
% 53.89/34.09 tff(11349,plain,
% 53.89/34.09 (~v90(constB29, 2)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[6451, 11348])).
% 53.89/34.09 tff(11350,assumption,(~v90(constB29, 2)), introduced(assumption)).
% 53.89/34.09 tff(11351,plain,
% 53.89/34.09 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB29, 0)) | (~v90(constB29, 1)) | v90(constB29, 2) | v122(constB29))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB29, 0)) | (~v90(constB29, 1)) | v90(constB29, 2) | v122(constB29))),
% 53.89/34.09 inference(rewrite,[status(thm)],[])).
% 53.89/34.09 tff(11352,plain,
% 53.89/34.09 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB29, 0)) | (~v90(constB29, 1)) | v90(constB29, 2) | v122(constB29))),
% 53.89/34.09 inference(quant_inst,[status(thm)],[])).
% 53.89/34.09 tff(11353,plain,
% 53.89/34.09 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB29, 0)) | (~v90(constB29, 1)) | v90(constB29, 2) | v122(constB29)),
% 53.89/34.09 inference(modus_ponens,[status(thm)],[11352, 11351])).
% 53.89/34.09 tff(11354,plain,
% 53.89/34.09 ((~v90(constB29, 0)) | (~v90(constB29, 1)) | v90(constB29, 2)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[11353, 1956, 6861])).
% 53.89/34.09 tff(11355,plain,
% 53.89/34.09 (~v90(constB29, 0)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[11354, 11350, 11178])).
% 53.89/34.09 tff(11356,assumption,(~v121(constB29)), introduced(assumption)).
% 53.89/34.09 tff(11357,plain,
% 53.89/34.09 (v90(constB29, 0) | (~v90(constB29, 1)) | v90(constB29, 2)),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[6520, 1731, 11356])).
% 53.89/34.09 tff(11358,plain,
% 53.89/34.09 ($false),
% 53.89/34.09 inference(unit_resolution,[status(thm)],[11357, 11355, 11350, 11178])).
% 53.89/34.09 tff(11359,plain,(v90(constB29, 2) | (~v90(constB29, 1)) | v121(constB29) | v122(constB29)), inference(lemma,lemma(discharge,[]))).
% 53.93/34.09 tff(11360,plain,
% 53.93/34.09 (v122(constB29)),
% 53.93/34.09 inference(unit_resolution,[status(thm)],[11359, 11349, 11343, 11330])).
% 53.93/34.09 tff(11361,plain,
% 53.93/34.09 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB29)) | (~v130(constB29, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB29)) | (~v130(constB29, 1)))),
% 53.93/34.09 inference(rewrite,[status(thm)],[])).
% 53.93/34.09 tff(11362,plain,
% 53.93/34.09 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB29)) | (~v130(constB29, 1)))),
% 53.93/34.09 inference(quant_inst,[status(thm)],[])).
% 53.93/34.09 tff(11363,plain,
% 53.93/34.09 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB29)) | (~v130(constB29, 1))),
% 53.93/34.09 inference(modus_ponens,[status(thm)],[11362, 11361])).
% 53.93/34.09 tff(11364,plain,
% 53.93/34.09 (~v130(constB29, 1)),
% 53.93/34.09 inference(unit_resolution,[status(thm)],[11363, 2366, 11360])).
% 53.93/34.09 tff(11365,plain,
% 53.93/34.09 (~v127(constB29, 1)),
% 53.93/34.09 inference(unit_resolution,[status(thm)],[11138, 11364])).
% 53.93/34.09 tff(11366,plain,
% 53.93/34.09 (~v129(constB30, 1)),
% 53.93/34.09 inference(unit_resolution,[status(thm)],[11130, 11365])).
% 53.93/34.09 tff(11367,plain,
% 53.93/34.09 (~v90(constB30, 0)),
% 53.93/34.09 inference(unit_resolution,[status(thm)],[11198, 11360])).
% 53.93/34.09 tff(11368,plain,
% 53.93/34.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB29, 0)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB29, 0)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, 0))),
% 53.93/34.09 inference(rewrite,[status(thm)],[])).
% 53.93/34.09 tff(11369,plain,
% 53.93/34.09 (((~nextState(constB29, constB30)) | (~v90(constB29, 0)) | v100(constB30) | v90(constB30, 0)) <=> ((~v90(constB29, 0)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, 0))),
% 53.93/34.09 inference(rewrite,[status(thm)],[])).
% 53.93/34.09 tff(11370,plain,
% 53.93/34.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB29, constB30)) | (~v90(constB29, 0)) | v100(constB30) | v90(constB30, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB29, 0)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, 0)))),
% 53.93/34.09 inference(monotonicity,[status(thm)],[11369])).
% 53.93/34.09 tff(11371,plain,
% 53.93/34.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB29, constB30)) | (~v90(constB29, 0)) | v100(constB30) | v90(constB30, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB29, 0)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, 0))),
% 53.93/34.09 inference(transitivity,[status(thm)],[11370, 11368])).
% 53.93/34.09 tff(11372,plain,
% 53.93/34.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB29, constB30)) | (~v90(constB29, 0)) | v100(constB30) | v90(constB30, 0))),
% 53.93/34.09 inference(quant_inst,[status(thm)],[])).
% 53.93/34.09 tff(11373,plain,
% 53.93/34.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB29, 0)) | (~nextState(constB29, constB30)) | v100(constB30) | v90(constB30, 0)),
% 53.93/34.09 inference(modus_ponens,[status(thm)],[11372, 11371])).
% 53.93/34.09 tff(11374,plain,
% 53.93/34.09 ((~v90(constB29, 0)) | v100(constB30) | v90(constB30, 0)),
% 53.93/34.09 inference(unit_resolution,[status(thm)],[11373, 1395, 6569])).
% 53.93/34.09 tff(11375,plain,
% 53.93/34.09 (v100(constB30)),
% 53.93/34.09 inference(unit_resolution,[status(thm)],[11374, 11367, 11339])).
% 53.93/34.09 tff(11376,plain,
% 53.93/34.09 ((~v90(constB30, 1)) | v129(constB30, 1)),
% 53.93/34.09 inference(unit_resolution,[status(thm)],[11124, 1309, 11375])).
% 53.93/34.09 tff(11377,plain,
% 53.93/34.09 (~v90(constB30, 1)),
% 53.93/34.09 inference(unit_resolution,[status(thm)],[11376, 11366])).
% 53.93/34.09 tff(11378,plain,
% 53.93/34.09 (~v90(constB31, 1)),
% 53.93/34.09 inference(unit_resolution,[status(thm)],[11063, 11377])).
% 53.93/34.09 tff(11379,plain,
% 53.93/34.09 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB29)) | v130(constB29, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB29)) | v130(constB29, 2))),
% 53.93/34.09 inference(rewrite,[status(thm)],[])).
% 53.93/34.09 tff(11380,plain,
% 53.93/34.09 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB29)) | v130(constB29, 2))),
% 53.93/34.09 inference(quant_inst,[status(thm)],[])).
% 53.93/34.09 tff(11381,plain,
% 53.93/34.09 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB29)) | v130(constB29, 2)),
% 53.93/34.09 inference(modus_ponens,[status(thm)],[11380, 11379])).
% 53.93/34.09 tff(11382,plain,
% 53.93/34.09 (v130(constB29, 2)),
% 53.93/34.09 inference(unit_resolution,[status(thm)],[11381, 1967, 11360])).
% 53.93/34.09 tff(11383,plain,
% 53.93/34.09 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB29) | (~v130(constB29, 2)) | v127(constB29, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB29) | (~v130(constB29, 2)) | v127(constB29, 2))),
% 53.93/34.09 inference(rewrite,[status(thm)],[])).
% 53.93/34.09 tff(11384,plain,
% 53.93/34.09 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB29) | (~v130(constB29, 2)) | v127(constB29, 2))),
% 53.93/34.09 inference(quant_inst,[status(thm)],[])).
% 53.93/34.09 tff(11385,plain,
% 53.93/34.09 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB29) | (~v130(constB29, 2)) | v127(constB29, 2)),
% 53.93/34.09 inference(modus_ponens,[status(thm)],[11384, 11383])).
% 53.93/34.09 tff(11386,plain,
% 53.93/34.09 ((~v130(constB29, 2)) | v127(constB29, 2)),
% 53.93/34.09 inference(unit_resolution,[status(thm)],[11385, 1981, 6554])).
% 53.93/34.09 tff(11387,plain,
% 53.93/34.09 (v127(constB29, 2)),
% 53.93/34.09 inference(unit_resolution,[status(thm)],[11386, 11382])).
% 53.93/34.09 tff(11388,plain,
% 53.93/34.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB29, constB30)) | (~v127(constB29, 2)) | v129(constB30, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB29, constB30)) | (~v127(constB29, 2)) | v129(constB30, 2))),
% 53.93/34.09 inference(rewrite,[status(thm)],[])).
% 53.93/34.09 tff(11389,plain,
% 53.93/34.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB29, constB30)) | (~v127(constB29, 2)) | v129(constB30, 2))),
% 53.93/34.09 inference(quant_inst,[status(thm)],[])).
% 53.93/34.09 tff(11390,plain,
% 53.93/34.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB29, constB30)) | (~v127(constB29, 2)) | v129(constB30, 2)),
% 53.93/34.09 inference(modus_ponens,[status(thm)],[11389, 11388])).
% 53.93/34.09 tff(11391,plain,
% 53.93/34.09 ((~v127(constB29, 2)) | v129(constB30, 2)),
% 53.93/34.09 inference(unit_resolution,[status(thm)],[11390, 1999, 6569])).
% 53.93/34.09 tff(11392,plain,
% 53.93/34.09 (v129(constB30, 2)),
% 53.93/34.09 inference(unit_resolution,[status(thm)],[11391, 11387])).
% 53.93/34.09 tff(11393,plain,
% 53.93/34.09 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB30, 2) | (~v129(constB30, 2)) | (~v100(constB30)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB30, 2) | (~v129(constB30, 2)) | (~v100(constB30)))),
% 53.93/34.09 inference(rewrite,[status(thm)],[])).
% 53.93/34.09 tff(11394,plain,
% 53.93/34.09 ((v90(constB30, 2) | (~v100(constB30)) | (~v129(constB30, 2))) <=> (v90(constB30, 2) | (~v129(constB30, 2)) | (~v100(constB30)))),
% 53.93/34.09 inference(rewrite,[status(thm)],[])).
% 53.93/34.09 tff(11395,plain,
% 53.93/34.09 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB30, 2) | (~v100(constB30)) | (~v129(constB30, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB30, 2) | (~v129(constB30, 2)) | (~v100(constB30))))),
% 53.93/34.09 inference(monotonicity,[status(thm)],[11394])).
% 53.93/34.09 tff(11396,plain,
% 53.93/34.09 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB30, 2) | (~v100(constB30)) | (~v129(constB30, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB30, 2) | (~v129(constB30, 2)) | (~v100(constB30)))),
% 53.93/34.09 inference(transitivity,[status(thm)],[11395, 11393])).
% 53.93/34.09 tff(11397,plain,
% 53.93/34.09 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB30, 2) | (~v100(constB30)) | (~v129(constB30, 2)))),
% 53.93/34.09 inference(quant_inst,[status(thm)],[])).
% 53.93/34.09 tff(11398,plain,
% 53.93/34.09 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB30, 2) | (~v129(constB30, 2)) | (~v100(constB30))),
% 53.93/34.09 inference(modus_ponens,[status(thm)],[11397, 11396])).
% 53.93/34.09 tff(11399,plain,
% 53.93/34.09 (v90(constB30, 2) | (~v129(constB30, 2))),
% 53.93/34.09 inference(unit_resolution,[status(thm)],[11398, 2324, 11375])).
% 53.93/34.09 tff(11400,plain,
% 53.93/34.09 (v90(constB30, 2)),
% 53.93/34.09 inference(unit_resolution,[status(thm)],[11399, 11392])).
% 53.93/34.09 tff(11401,plain,
% 53.93/34.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB30, 2)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB30, 2)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 2))),
% 53.93/34.09 inference(rewrite,[status(thm)],[])).
% 53.93/34.09 tff(11402,plain,
% 53.93/34.09 (((~nextState(constB30, constB31)) | (~v90(constB30, 2)) | v100(constB31) | v90(constB31, 2)) <=> ((~v90(constB30, 2)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 2))),
% 53.93/34.09 inference(rewrite,[status(thm)],[])).
% 53.93/34.09 tff(11403,plain,
% 53.93/34.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB30, constB31)) | (~v90(constB30, 2)) | v100(constB31) | v90(constB31, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB30, 2)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 2)))),
% 53.93/34.09 inference(monotonicity,[status(thm)],[11402])).
% 53.93/34.09 tff(11404,plain,
% 53.93/34.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB30, constB31)) | (~v90(constB30, 2)) | v100(constB31) | v90(constB31, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB30, 2)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 2))),
% 53.93/34.09 inference(transitivity,[status(thm)],[11403, 11401])).
% 53.93/34.09 tff(11405,plain,
% 53.93/34.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB30, constB31)) | (~v90(constB30, 2)) | v100(constB31) | v90(constB31, 2))),
% 53.93/34.09 inference(quant_inst,[status(thm)],[])).
% 53.93/34.09 tff(11406,plain,
% 53.93/34.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB30, 2)) | (~nextState(constB30, constB31)) | v100(constB31) | v90(constB31, 2)),
% 53.93/34.09 inference(modus_ponens,[status(thm)],[11405, 11404])).
% 53.93/34.09 tff(11407,plain,
% 53.93/34.09 ((~v90(constB30, 2)) | v100(constB31) | v90(constB31, 2)),
% 53.93/34.09 inference(unit_resolution,[status(thm)],[11406, 2174, 6896])).
% 53.93/34.09 tff(11408,plain,
% 53.93/34.09 ((~v90(constB30, 2)) | v90(constB31, 2)),
% 53.93/34.09 inference(unit_resolution,[status(thm)],[11407, 6908])).
% 53.93/34.09 tff(11409,plain,
% 53.93/34.09 (v90(constB31, 2)),
% 53.93/34.09 inference(unit_resolution,[status(thm)],[11408, 11400])).
% 53.93/34.09 tff(11410,plain,
% 53.93/34.09 (~v90(constB31, 0)),
% 53.93/34.09 inference(unit_resolution,[status(thm)],[11046, 11367])).
% 53.93/34.09 tff(11411,plain,
% 53.93/34.09 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB31, 0) | v90(constB31, 1) | (~v90(constB31, 2)) | v123(constB31))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB31, 0) | v90(constB31, 1) | (~v90(constB31, 2)) | v123(constB31))),
% 53.93/34.09 inference(rewrite,[status(thm)],[])).
% 53.93/34.09 tff(11412,plain,
% 53.93/34.09 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB31, 0) | v90(constB31, 1) | (~v90(constB31, 2)) | v123(constB31))),
% 53.93/34.09 inference(quant_inst,[status(thm)],[])).
% 53.93/34.09 tff(11413,plain,
% 53.93/34.09 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB31, 0) | v90(constB31, 1) | (~v90(constB31, 2)) | v123(constB31)),
% 53.93/34.09 inference(modus_ponens,[status(thm)],[11412, 11411])).
% 53.93/34.09 tff(11414,plain,
% 53.93/34.09 (v90(constB31, 1) | (~v90(constB31, 2)) | v123(constB31)),
% 53.93/34.09 inference(unit_resolution,[status(thm)],[11413, 2308, 11410])).
% 53.93/34.09 tff(11415,plain,
% 53.93/34.09 (v123(constB31)),
% 53.93/34.09 inference(unit_resolution,[status(thm)],[11414, 11409, 11378])).
% 53.93/34.09 tff(11416,plain,
% 53.93/34.09 (~v130(constB31, 1)),
% 53.93/34.09 inference(unit_resolution,[status(thm)],[11027, 2581, 11415])).
% 53.93/34.09 tff(11417,plain,
% 53.93/34.09 (~v127(constB31, 1)),
% 53.93/34.09 inference(unit_resolution,[status(thm)],[7097, 11416])).
% 53.93/34.09 tff(11418,plain,
% 53.93/34.09 (~v129(constB32, 1)),
% 53.93/34.09 inference(unit_resolution,[status(thm)],[7102, 11417])).
% 53.93/34.09 tff(11419,assumption,(v123(constB31)), introduced(assumption)).
% 53.93/34.09 tff(11420,plain,
% 53.93/34.09 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB31)) | v115(constB31))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB31)) | v115(constB31))),
% 53.93/34.09 inference(rewrite,[status(thm)],[])).
% 53.93/34.09 tff(11421,plain,
% 53.93/34.09 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB31)) | v115(constB31))),
% 53.93/34.09 inference(quant_inst,[status(thm)],[])).
% 53.93/34.09 tff(11422,plain,
% 53.93/34.09 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB31)) | v115(constB31)),
% 53.93/34.09 inference(modus_ponens,[status(thm)],[11421, 11420])).
% 53.93/34.09 tff(11423,plain,
% 53.93/34.09 (v115(constB31)),
% 53.93/34.09 inference(unit_resolution,[status(thm)],[11422, 2291, 11419])).
% 53.93/34.09 tff(11424,plain,
% 53.93/34.09 (v114(constB31)),
% 53.93/34.09 inference(unit_resolution,[status(thm)],[6997, 1035, 11423])).
% 53.93/34.09 tff(11425,plain,
% 53.93/34.09 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB31)) | v130(constB31, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB31)) | v130(constB31, 0))),
% 53.93/34.09 inference(rewrite,[status(thm)],[])).
% 53.93/34.09 tff(11426,plain,
% 53.93/34.09 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB31)) | v130(constB31, 0))),
% 53.93/34.09 inference(quant_inst,[status(thm)],[])).
% 53.93/34.09 tff(11427,plain,
% 53.93/34.09 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB31)) | v130(constB31, 0)),
% 53.93/34.09 inference(modus_ponens,[status(thm)],[11426, 11425])).
% 53.93/34.09 tff(11428,plain,
% 53.93/34.09 (v130(constB31, 0)),
% 53.93/34.09 inference(unit_resolution,[status(thm)],[11427, 2622, 11419])).
% 53.93/34.09 tff(11429,plain,
% 53.93/34.09 (v127(constB31, 0)),
% 53.93/34.09 inference(unit_resolution,[status(thm)],[7205, 11428])).
% 53.93/34.09 tff(11430,plain,
% 53.93/34.09 (v129(constB32, 0)),
% 53.93/34.09 inference(unit_resolution,[status(thm)],[7200, 11429])).
% 53.93/34.09 tff(11431,plain,
% 53.93/34.09 (~v100(constB32)),
% 53.93/34.09 inference(unit_resolution,[status(thm)],[7195, 11430])).
% 53.93/34.09 tff(11432,plain,
% 53.93/34.09 (~v110(constB32)),
% 53.93/34.09 inference(unit_resolution,[status(thm)],[7060, 11431])).
% 53.93/34.09 tff(11433,plain,
% 53.93/34.09 (~v108(constB31)),
% 53.93/34.09 inference(unit_resolution,[status(thm)],[7034, 11432])).
% 53.93/34.09 tff(11434,plain,
% 53.93/34.09 (~v112(constB31)),
% 53.93/34.09 inference(unit_resolution,[status(thm)],[7023, 1075, 11433])).
% 53.93/34.09 tff(11435,plain,
% 53.93/34.09 (~v113(constB31)),
% 53.93/34.09 inference(unit_resolution,[status(thm)],[7016, 11434])).
% 53.93/34.09 tff(11436,plain,
% 53.93/34.09 ($false),
% 53.93/34.09 inference(unit_resolution,[status(thm)],[7004, 1049, 11435, 11424])).
% 53.93/34.09 tff(11437,plain,((~v123(constB31)) | v90(constB32, 0)), inference(lemma,lemma(discharge,[]))).
% 53.93/34.09 tff(11438,plain,
% 53.93/34.09 (v90(constB32, 0)),
% 53.93/34.09 inference(unit_resolution,[status(thm)],[11437, 11415])).
% 53.93/34.09 tff(11439,plain,
% 53.93/34.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB32, 0)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB32, 0)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, 0))),
% 53.93/34.09 inference(rewrite,[status(thm)],[])).
% 53.93/34.09 tff(11440,plain,
% 53.93/34.09 (((~nextState(constB32, constB33)) | (~v90(constB32, 0)) | v100(constB33) | v90(constB33, 0)) <=> ((~v90(constB32, 0)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, 0))),
% 53.93/34.09 inference(rewrite,[status(thm)],[])).
% 53.93/34.09 tff(11441,plain,
% 53.93/34.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB32, constB33)) | (~v90(constB32, 0)) | v100(constB33) | v90(constB33, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB32, 0)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, 0)))),
% 53.93/34.09 inference(monotonicity,[status(thm)],[11440])).
% 53.93/34.09 tff(11442,plain,
% 53.93/34.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB32, constB33)) | (~v90(constB32, 0)) | v100(constB33) | v90(constB33, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB32, 0)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, 0))),
% 53.93/34.09 inference(transitivity,[status(thm)],[11441, 11439])).
% 53.93/34.09 tff(11443,plain,
% 53.93/34.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB32, constB33)) | (~v90(constB32, 0)) | v100(constB33) | v90(constB33, 0))),
% 53.93/34.09 inference(quant_inst,[status(thm)],[])).
% 53.93/34.09 tff(11444,plain,
% 53.93/34.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB32, 0)) | (~nextState(constB32, constB33)) | v100(constB33) | v90(constB33, 0)),
% 53.93/34.09 inference(modus_ponens,[status(thm)],[11443, 11442])).
% 53.93/34.09 tff(11445,plain,
% 53.93/34.09 ((~v90(constB32, 0)) | v100(constB33) | v90(constB33, 0)),
% 53.93/34.09 inference(unit_resolution,[status(thm)],[11444, 1395, 7278])).
% 53.93/34.09 tff(11446,plain,
% 53.93/34.09 ((~v90(constB32, 0)) | v90(constB33, 0)),
% 53.93/34.09 inference(unit_resolution,[status(thm)],[11445, 7290])).
% 53.93/34.09 tff(11447,plain,
% 53.93/34.09 (v90(constB33, 0)),
% 53.93/34.09 inference(unit_resolution,[status(thm)],[11446, 11438])).
% 53.93/34.09 tff(11448,plain,
% 53.93/34.09 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v123(constB33)) | (~v90(constB33, 0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | (~v123(constB33)) | (~v90(constB33, 0)))),
% 53.93/34.09 inference(rewrite,[status(thm)],[])).
% 53.93/34.09 tff(11449,plain,
% 53.93/34.09 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v123(constB33)) | (~v90(constB33, 0)))),
% 53.93/34.09 inference(quant_inst,[status(thm)],[])).
% 53.93/34.09 tff(11450,plain,
% 53.93/34.09 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | (~v123(constB33)) | (~v90(constB33, 0))),
% 53.93/34.09 inference(modus_ponens,[status(thm)],[11449, 11448])).
% 53.93/34.09 tff(11451,plain,
% 53.93/34.09 (~v123(constB33)),
% 53.93/34.09 inference(unit_resolution,[status(thm)],[11450, 5887, 11447])).
% 53.93/34.09 tff(11452,plain,
% 53.93/34.09 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v119(constB33)) | (~v90(constB33, 0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | (~v119(constB33)) | (~v90(constB33, 0)))),
% 53.93/34.10 inference(rewrite,[status(thm)],[])).
% 53.93/34.10 tff(11453,plain,
% 53.93/34.10 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v119(constB33)) | (~v90(constB33, 0)))),
% 53.93/34.10 inference(quant_inst,[status(thm)],[])).
% 53.93/34.10 tff(11454,plain,
% 53.93/34.10 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | (~v119(constB33)) | (~v90(constB33, 0))),
% 53.93/34.10 inference(modus_ponens,[status(thm)],[11453, 11452])).
% 53.93/34.10 tff(11455,plain,
% 53.93/34.10 (~v119(constB33)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11454, 5865, 11447])).
% 53.93/34.10 tff(11456,assumption,(~v90(constB33, 1)), introduced(assumption)).
% 53.93/34.10 tff(11457,assumption,(~v119(constB33)), introduced(assumption)).
% 53.93/34.10 tff(11458,assumption,(~v90(constB33, 0)), introduced(assumption)).
% 53.93/34.10 tff(11459,plain,
% 53.93/34.10 (~v90(constB33, 2)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[7313, 11458, 11456])).
% 53.93/34.10 tff(11460,plain,
% 53.93/34.10 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB33, 0) | v90(constB33, 1) | v90(constB33, 2) | v119(constB33))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB33, 0) | v90(constB33, 1) | v90(constB33, 2) | v119(constB33))),
% 53.93/34.10 inference(rewrite,[status(thm)],[])).
% 53.93/34.10 tff(11461,plain,
% 53.93/34.10 ((v90(constB33, 0) | v119(constB33) | v90(constB33, 1) | v90(constB33, 2)) <=> (v90(constB33, 0) | v90(constB33, 1) | v90(constB33, 2) | v119(constB33))),
% 53.93/34.10 inference(rewrite,[status(thm)],[])).
% 53.93/34.10 tff(11462,plain,
% 53.93/34.10 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB33, 0) | v119(constB33) | v90(constB33, 1) | v90(constB33, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB33, 0) | v90(constB33, 1) | v90(constB33, 2) | v119(constB33)))),
% 53.93/34.10 inference(monotonicity,[status(thm)],[11461])).
% 53.93/34.10 tff(11463,plain,
% 53.93/34.10 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB33, 0) | v119(constB33) | v90(constB33, 1) | v90(constB33, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB33, 0) | v90(constB33, 1) | v90(constB33, 2) | v119(constB33))),
% 53.93/34.10 inference(transitivity,[status(thm)],[11462, 11460])).
% 53.93/34.10 tff(11464,plain,
% 53.93/34.10 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB33, 0) | v119(constB33) | v90(constB33, 1) | v90(constB33, 2))),
% 53.93/34.10 inference(quant_inst,[status(thm)],[])).
% 53.93/34.10 tff(11465,plain,
% 53.93/34.10 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB33, 0) | v90(constB33, 1) | v90(constB33, 2) | v119(constB33)),
% 53.93/34.10 inference(modus_ponens,[status(thm)],[11464, 11463])).
% 53.93/34.10 tff(11466,plain,
% 53.93/34.10 (v90(constB33, 0) | v90(constB33, 1) | v90(constB33, 2)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11465, 968, 11457])).
% 53.93/34.10 tff(11467,plain,
% 53.93/34.10 ($false),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11466, 11459, 11458, 11456])).
% 53.93/34.10 tff(11468,plain,(v90(constB33, 0) | v90(constB33, 1) | v119(constB33) | v123(constB33)), inference(lemma,lemma(discharge,[]))).
% 53.93/34.10 tff(11469,plain,
% 53.93/34.10 (v90(constB33, 0)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11468, 11456, 11457, 7309])).
% 53.93/34.10 tff(11470,plain,
% 53.93/34.10 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB33, 0)) | v90(constB33, 1) | (~v90(constB33, 2)) | v124(constB33))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB33, 0)) | v90(constB33, 1) | (~v90(constB33, 2)) | v124(constB33))),
% 53.93/34.10 inference(rewrite,[status(thm)],[])).
% 53.93/34.10 tff(11471,plain,
% 53.93/34.10 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB33, 0)) | v90(constB33, 1) | (~v90(constB33, 2)) | v124(constB33))),
% 53.93/34.10 inference(quant_inst,[status(thm)],[])).
% 53.93/34.10 tff(11472,plain,
% 53.93/34.10 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB33, 0)) | v90(constB33, 1) | (~v90(constB33, 2)) | v124(constB33)),
% 53.93/34.10 inference(modus_ponens,[status(thm)],[11471, 11470])).
% 53.93/34.10 tff(11473,plain,
% 53.93/34.10 ((~v90(constB33, 0)) | v90(constB33, 1) | (~v90(constB33, 2))),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11472, 2663, 11250])).
% 53.93/34.10 tff(11474,plain,
% 53.93/34.10 (~v90(constB33, 2)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11473, 11469, 11456])).
% 53.93/34.10 tff(11475,plain,
% 53.93/34.10 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB33, 0)) | v90(constB33, 1) | v90(constB33, 2) | v120(constB33))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB33, 0)) | v90(constB33, 1) | v90(constB33, 2) | v120(constB33))),
% 53.93/34.10 inference(rewrite,[status(thm)],[])).
% 53.93/34.10 tff(11476,plain,
% 53.93/34.10 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB33, 0)) | v90(constB33, 1) | v90(constB33, 2) | v120(constB33))),
% 53.93/34.10 inference(quant_inst,[status(thm)],[])).
% 53.93/34.10 tff(11477,plain,
% 53.93/34.10 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB33, 0)) | v90(constB33, 1) | v90(constB33, 2) | v120(constB33)),
% 53.93/34.10 inference(modus_ponens,[status(thm)],[11476, 11475])).
% 53.93/34.10 tff(11478,plain,
% 53.93/34.10 ((~v90(constB33, 0)) | v90(constB33, 1) | v90(constB33, 2)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11477, 1414, 11249])).
% 53.93/34.10 tff(11479,plain,
% 53.93/34.10 ($false),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11478, 11474, 11469, 11456])).
% 53.93/34.10 tff(11480,plain,(v90(constB33, 1) | v120(constB33) | v124(constB33) | v119(constB33) | v123(constB33)), inference(lemma,lemma(discharge,[]))).
% 53.93/34.10 tff(11481,plain,
% 53.93/34.10 (v90(constB33, 1)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11480, 11455, 11249, 11250, 11451])).
% 53.93/34.10 tff(11482,plain,
% 53.93/34.10 (v90(constB32, 1)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[7307, 11481])).
% 53.93/34.10 tff(11483,plain,
% 53.93/34.10 (v100(constB32)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11037, 11438, 11410])).
% 53.93/34.10 tff(11484,plain,
% 53.93/34.10 ((~v90(constB32, 1)) | v129(constB32, 1)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[7109, 1309, 11483])).
% 53.93/34.10 tff(11485,plain,
% 53.93/34.10 ($false),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11484, 11482, 11418])).
% 53.93/34.10 tff(11486,plain,(v90(constB26, 0) | v120(constB33) | v124(constB33) | (~v100(constB26)) | v124(constB25) | v122(constB25)), inference(lemma,lemma(discharge,[]))).
% 53.93/34.10 tff(11487,plain,
% 53.93/34.10 (v90(constB26, 0)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11486, 11230, 11250, 11249, 11232, 11231])).
% 53.93/34.10 tff(11488,plain,
% 53.93/34.10 (v90(constB27, 0)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[6401, 11487])).
% 53.93/34.10 tff(11489,plain,
% 53.93/34.10 (v120(constB27)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[6252, 1414, 11488, 11248, 11239])).
% 53.93/34.10 tff(11490,plain,
% 53.93/34.10 (~v130(constB27, 2)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[6406, 1523, 11489])).
% 53.93/34.10 tff(11491,plain,
% 53.93/34.10 (~v127(constB27, 2)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[6414, 11490])).
% 53.93/34.10 tff(11492,plain,
% 53.93/34.10 (~v129(constB28, 2)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[6419, 11491])).
% 53.93/34.10 tff(11493,plain,
% 53.93/34.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB28, 1) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB28, 1) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 1)))),
% 53.93/34.10 inference(rewrite,[status(thm)],[])).
% 53.93/34.10 tff(11494,plain,
% 53.93/34.10 (((~nextState(constB28, constB29)) | v90(constB28, 1) | v100(constB29) | (~v90(constB29, 1))) <=> (v90(constB28, 1) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 1)))),
% 53.93/34.10 inference(rewrite,[status(thm)],[])).
% 53.93/34.10 tff(11495,plain,
% 53.93/34.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB28, constB29)) | v90(constB28, 1) | v100(constB29) | (~v90(constB29, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB28, 1) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 1))))),
% 53.93/34.10 inference(monotonicity,[status(thm)],[11494])).
% 53.93/34.10 tff(11496,plain,
% 53.93/34.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB28, constB29)) | v90(constB28, 1) | v100(constB29) | (~v90(constB29, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB28, 1) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 1)))),
% 53.93/34.10 inference(transitivity,[status(thm)],[11495, 11493])).
% 53.93/34.10 tff(11497,plain,
% 53.93/34.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB28, constB29)) | v90(constB28, 1) | v100(constB29) | (~v90(constB29, 1)))),
% 53.93/34.10 inference(quant_inst,[status(thm)],[])).
% 53.93/34.10 tff(11498,plain,
% 53.93/34.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB28, 1) | (~nextState(constB28, constB29)) | v100(constB29) | (~v90(constB29, 1))),
% 53.93/34.10 inference(modus_ponens,[status(thm)],[11497, 11496])).
% 53.93/34.10 tff(11499,plain,
% 53.93/34.10 (v90(constB28, 1) | v100(constB29) | (~v90(constB29, 1))),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11498, 926, 6431])).
% 53.93/34.10 tff(11500,plain,
% 53.93/34.10 (v90(constB28, 1) | (~v90(constB29, 1))),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11499, 6443])).
% 53.93/34.10 tff(11501,plain,
% 53.93/34.10 (v90(constB28, 1)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11500, 11178])).
% 53.93/34.10 tff(11502,plain,
% 53.93/34.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB27, 1) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB27, 1) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 1)))),
% 53.93/34.10 inference(rewrite,[status(thm)],[])).
% 53.93/34.10 tff(11503,plain,
% 53.93/34.10 (((~nextState(constB27, constB28)) | v90(constB27, 1) | v100(constB28) | (~v90(constB28, 1))) <=> (v90(constB27, 1) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 1)))),
% 53.93/34.10 inference(rewrite,[status(thm)],[])).
% 53.93/34.10 tff(11504,plain,
% 53.93/34.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB27, constB28)) | v90(constB27, 1) | v100(constB28) | (~v90(constB28, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB27, 1) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 1))))),
% 53.93/34.10 inference(monotonicity,[status(thm)],[11503])).
% 53.93/34.10 tff(11505,plain,
% 53.93/34.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB27, constB28)) | v90(constB27, 1) | v100(constB28) | (~v90(constB28, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB27, 1) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 1)))),
% 53.93/34.10 inference(transitivity,[status(thm)],[11504, 11502])).
% 53.93/34.10 tff(11506,plain,
% 53.93/34.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB27, constB28)) | v90(constB27, 1) | v100(constB28) | (~v90(constB28, 1)))),
% 53.93/34.10 inference(quant_inst,[status(thm)],[])).
% 53.93/34.10 tff(11507,plain,
% 53.93/34.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB27, 1) | (~nextState(constB27, constB28)) | v100(constB28) | (~v90(constB28, 1))),
% 53.93/34.10 inference(modus_ponens,[status(thm)],[11506, 11505])).
% 53.93/34.10 tff(11508,plain,
% 53.93/34.10 (v90(constB27, 1) | v100(constB28) | (~v90(constB28, 1))),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11507, 926, 6312])).
% 53.93/34.10 tff(11509,plain,
% 53.93/34.10 (v100(constB28)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11508, 11248, 11501])).
% 53.93/34.10 tff(11510,plain,
% 53.93/34.10 ((~v90(constB28, 2)) | v129(constB28, 2)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[6423, 1223, 11509])).
% 53.93/34.10 tff(11511,plain,
% 53.93/34.10 (~v90(constB28, 2)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11510, 11492])).
% 53.93/34.10 tff(11512,plain,
% 53.93/34.10 (~v90(constB29, 2)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[6451, 11511])).
% 53.93/34.10 tff(11513,plain,
% 53.93/34.10 (v121(constB29)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11359, 11512, 11199, 11178])).
% 53.93/34.10 tff(11514,plain,
% 53.93/34.10 (~v130(constB27, 0)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[6486, 1657, 11489])).
% 53.93/34.10 tff(11515,plain,
% 53.93/34.10 (~v127(constB27, 0)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[6494, 11514])).
% 53.93/34.10 tff(11516,plain,
% 53.93/34.10 (~v129(constB28, 0)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[6499, 11515])).
% 53.93/34.10 tff(11517,plain,
% 53.93/34.10 ((~v90(constB28, 0)) | v129(constB28, 0)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[6506, 1704, 11509])).
% 53.93/34.10 tff(11518,plain,
% 53.93/34.10 (~v90(constB28, 0)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11517, 11516])).
% 53.93/34.10 tff(11519,plain,
% 53.93/34.10 (~v90(constB29, 0)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[6516, 11518])).
% 53.93/34.10 tff(11520,plain,
% 53.93/34.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB29, 0) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB29, 0) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 0)))),
% 53.93/34.10 inference(rewrite,[status(thm)],[])).
% 53.93/34.10 tff(11521,plain,
% 53.93/34.10 (((~nextState(constB29, constB30)) | v90(constB29, 0) | v100(constB30) | (~v90(constB30, 0))) <=> (v90(constB29, 0) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 0)))),
% 53.93/34.10 inference(rewrite,[status(thm)],[])).
% 53.93/34.10 tff(11522,plain,
% 53.93/34.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB29, constB30)) | v90(constB29, 0) | v100(constB30) | (~v90(constB30, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB29, 0) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 0))))),
% 53.93/34.10 inference(monotonicity,[status(thm)],[11521])).
% 53.93/34.10 tff(11523,plain,
% 53.93/34.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB29, constB30)) | v90(constB29, 0) | v100(constB30) | (~v90(constB30, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB29, 0) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 0)))),
% 53.93/34.10 inference(transitivity,[status(thm)],[11522, 11520])).
% 53.93/34.10 tff(11524,plain,
% 53.93/34.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB29, constB30)) | v90(constB29, 0) | v100(constB30) | (~v90(constB30, 0)))),
% 53.93/34.10 inference(quant_inst,[status(thm)],[])).
% 53.93/34.10 tff(11525,plain,
% 53.93/34.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB29, 0) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 0))),
% 53.93/34.10 inference(modus_ponens,[status(thm)],[11524, 11523])).
% 53.93/34.10 tff(11526,plain,
% 53.93/34.10 (v90(constB29, 0) | v100(constB30) | (~v90(constB30, 0))),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11525, 947, 6569])).
% 53.93/34.10 tff(11527,plain,
% 53.93/34.10 (v100(constB30)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11526, 11519, 11093])).
% 53.93/34.10 tff(11528,plain,
% 53.93/34.10 (v129(constB30, 2)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11085, 11527])).
% 53.93/34.10 tff(11529,plain,
% 53.93/34.10 (v127(constB29, 2)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[6884, 11528])).
% 53.93/34.10 tff(11530,plain,
% 53.93/34.10 (v130(constB29, 2)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[6879, 11529])).
% 53.93/34.10 tff(11531,plain,
% 53.93/34.10 ($false),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[6869, 1821, 11530, 11513])).
% 53.93/34.10 tff(11532,plain,((~v124(constB23)) | (~v90(constB30, 2)) | (~v90(constB29, 1)) | (~v90(constB30, 0)) | v124(constB33) | v120(constB33)), inference(lemma,lemma(discharge,[]))).
% 53.93/34.10 tff(11533,plain,
% 53.93/34.10 (~v124(constB23)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11532, 11073, 11177, 11047, 10884, 10872])).
% 53.93/34.10 tff(11534,plain,
% 53.93/34.10 (v90(constB28, 1)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11500, 11177])).
% 53.93/34.10 tff(11535,assumption,(v120(constB29)), introduced(assumption)).
% 53.93/34.10 tff(11536,plain,
% 53.93/34.10 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB29) | (~v120(constB29)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB29) | (~v120(constB29)))),
% 53.93/34.10 inference(rewrite,[status(thm)],[])).
% 53.93/34.10 tff(11537,plain,
% 53.93/34.10 (((~v120(constB29)) | v118(constB29)) <=> (v118(constB29) | (~v120(constB29)))),
% 53.93/34.10 inference(rewrite,[status(thm)],[])).
% 53.93/34.10 tff(11538,plain,
% 53.93/34.10 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB29)) | v118(constB29))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB29) | (~v120(constB29))))),
% 53.93/34.10 inference(monotonicity,[status(thm)],[11537])).
% 53.93/34.10 tff(11539,plain,
% 53.93/34.10 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB29)) | v118(constB29))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB29) | (~v120(constB29)))),
% 53.93/34.10 inference(transitivity,[status(thm)],[11538, 11536])).
% 53.93/34.10 tff(11540,plain,
% 53.93/34.10 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB29)) | v118(constB29))),
% 53.93/34.10 inference(quant_inst,[status(thm)],[])).
% 53.93/34.10 tff(11541,plain,
% 53.93/34.10 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB29) | (~v120(constB29))),
% 53.93/34.10 inference(modus_ponens,[status(thm)],[11540, 11539])).
% 53.93/34.10 tff(11542,plain,
% 53.93/34.10 (v118(constB29)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11541, 1425, 11535])).
% 53.93/34.10 tff(11543,plain,
% 53.93/34.10 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB29) | (~v118(constB29)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB29) | (~v118(constB29)))),
% 53.93/34.10 inference(rewrite,[status(thm)],[])).
% 53.93/34.10 tff(11544,plain,
% 53.93/34.10 (((~v118(constB29)) | v117(constB29)) <=> (v117(constB29) | (~v118(constB29)))),
% 53.93/34.10 inference(rewrite,[status(thm)],[])).
% 53.93/34.10 tff(11545,plain,
% 53.93/34.10 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB29)) | v117(constB29))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB29) | (~v118(constB29))))),
% 53.93/34.10 inference(monotonicity,[status(thm)],[11544])).
% 53.93/34.10 tff(11546,plain,
% 53.93/34.10 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB29)) | v117(constB29))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB29) | (~v118(constB29)))),
% 53.93/34.10 inference(transitivity,[status(thm)],[11545, 11543])).
% 53.93/34.10 tff(11547,plain,
% 53.93/34.10 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB29)) | v117(constB29))),
% 53.93/34.10 inference(quant_inst,[status(thm)],[])).
% 53.93/34.10 tff(11548,plain,
% 53.93/34.10 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB29) | (~v118(constB29))),
% 53.93/34.10 inference(modus_ponens,[status(thm)],[11547, 11546])).
% 53.93/34.10 tff(11549,plain,
% 53.93/34.10 (v117(constB29)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11548, 993, 11542])).
% 53.93/34.10 tff(11550,plain,
% 53.93/34.10 (v116(constB29)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[6531, 1007, 11549])).
% 53.93/34.10 tff(11551,plain,
% 53.93/34.10 (v115(constB29)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[6535, 1021, 11550])).
% 53.93/34.10 tff(11552,plain,
% 53.93/34.10 (v114(constB29)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[6542, 1035, 11551])).
% 53.93/34.10 tff(11553,plain,
% 53.93/34.10 (v113(constB29)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[6549, 1049, 11552])).
% 53.93/34.10 tff(11554,plain,
% 53.93/34.10 (v112(constB29)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[6558, 11553])).
% 53.93/34.10 tff(11555,plain,
% 53.93/34.10 (v108(constB29)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[6565, 1075, 11554])).
% 53.93/34.10 tff(11556,plain,
% 53.93/34.10 (v110(constB30)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[6576, 11555])).
% 53.93/34.10 tff(11557,plain,
% 53.93/34.10 (v100(constB30)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[6599, 11556])).
% 53.93/34.10 tff(11558,plain,
% 53.93/34.10 (~v130(constB29, 2)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11091, 1523, 11535])).
% 53.93/34.10 tff(11559,plain,
% 53.93/34.10 (~v127(constB29, 2)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[6879, 11558])).
% 53.93/34.10 tff(11560,plain,
% 53.93/34.10 (~v129(constB30, 2)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[6884, 11559])).
% 53.93/34.10 tff(11561,plain,
% 53.93/34.10 ((~v90(constB30, 2)) | (~v100(constB30))),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[6888, 1223, 11560])).
% 53.93/34.10 tff(11562,plain,
% 53.93/34.10 (~v90(constB30, 2)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11561, 11557])).
% 53.93/34.10 tff(11563,plain,
% 53.93/34.10 (~v90(constB31, 2)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[6916, 11562])).
% 53.93/34.10 tff(11564,plain,
% 53.93/34.10 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB29)) | v130(constB29, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB29)) | v130(constB29, 1))),
% 53.93/34.10 inference(rewrite,[status(thm)],[])).
% 53.93/34.10 tff(11565,plain,
% 53.93/34.10 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB29)) | v130(constB29, 1))),
% 53.93/34.10 inference(quant_inst,[status(thm)],[])).
% 53.93/34.10 tff(11566,plain,
% 53.93/34.10 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB29)) | v130(constB29, 1)),
% 53.93/34.10 inference(modus_ponens,[status(thm)],[11565, 11564])).
% 53.93/34.10 tff(11567,plain,
% 53.93/34.10 (v130(constB29, 1)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11566, 1579, 11535])).
% 53.93/34.10 tff(11568,plain,
% 53.93/34.10 (v127(constB29, 1)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[6925, 11567])).
% 53.93/34.10 tff(11569,plain,
% 53.93/34.10 (v129(constB30, 1)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[6930, 11568])).
% 53.93/34.10 tff(11570,plain,
% 53.93/34.10 (v90(constB30, 1) | (~v100(constB30))),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[6937, 1623, 11569])).
% 53.93/34.10 tff(11571,plain,
% 53.93/34.10 (v90(constB30, 1)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11570, 11557])).
% 53.93/34.10 tff(11572,plain,
% 53.93/34.10 (v90(constB31, 1)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[6947, 11571])).
% 53.93/34.10 tff(11573,plain,
% 53.93/34.10 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB29)) | (~v130(constB29, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB29)) | (~v130(constB29, 0)))),
% 53.93/34.10 inference(rewrite,[status(thm)],[])).
% 53.93/34.10 tff(11574,plain,
% 53.93/34.10 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB29)) | (~v130(constB29, 0)))),
% 53.93/34.10 inference(quant_inst,[status(thm)],[])).
% 53.93/34.10 tff(11575,plain,
% 53.93/34.10 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB29)) | (~v130(constB29, 0))),
% 53.93/34.10 inference(modus_ponens,[status(thm)],[11574, 11573])).
% 53.93/34.10 tff(11576,plain,
% 53.93/34.10 (~v130(constB29, 0)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11575, 1657, 11535])).
% 53.93/34.10 tff(11577,plain,
% 53.93/34.10 (~v127(constB29, 0)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11113, 11576])).
% 53.93/34.10 tff(11578,plain,
% 53.93/34.10 (~v129(constB30, 0)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11105, 11577])).
% 53.93/34.10 tff(11579,plain,
% 53.93/34.10 ((~v90(constB30, 0)) | (~v100(constB30))),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11099, 1704, 11578])).
% 53.93/34.10 tff(11580,plain,
% 53.93/34.10 (~v90(constB30, 0)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11579, 11557])).
% 53.93/34.10 tff(11581,plain,
% 53.93/34.10 (~v90(constB31, 0)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11046, 11580])).
% 53.93/34.10 tff(11582,plain,
% 53.93/34.10 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB31, 0) | (~v90(constB31, 1)) | v90(constB31, 2) | v121(constB31))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB31, 0) | (~v90(constB31, 1)) | v90(constB31, 2) | v121(constB31))),
% 53.93/34.10 inference(rewrite,[status(thm)],[])).
% 53.93/34.10 tff(11583,plain,
% 53.93/34.10 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB31, 0) | (~v90(constB31, 1)) | v90(constB31, 2) | v121(constB31))),
% 53.93/34.10 inference(quant_inst,[status(thm)],[])).
% 53.93/34.10 tff(11584,plain,
% 53.93/34.10 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB31, 0) | (~v90(constB31, 1)) | v90(constB31, 2) | v121(constB31)),
% 53.93/34.10 inference(modus_ponens,[status(thm)],[11583, 11582])).
% 53.93/34.10 tff(11585,plain,
% 53.93/34.10 (v121(constB31)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11584, 1731, 11581, 11572, 11563])).
% 53.93/34.10 tff(11586,plain,
% 53.93/34.10 (v100(constB32)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11037, 11581, 11002])).
% 53.93/34.10 tff(11587,plain,
% 53.93/34.10 (v129(constB32, 2)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[10982, 11586])).
% 53.93/34.10 tff(11588,plain,
% 53.93/34.10 (v127(constB31, 2)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[10987, 11587])).
% 53.93/34.10 tff(11589,plain,
% 53.93/34.10 (v130(constB31, 2)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[10995, 11588])).
% 53.93/34.10 tff(11590,plain,
% 53.93/34.10 ($false),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11010, 1821, 11589, 11585])).
% 53.93/34.10 tff(11591,plain,((~v120(constB29)) | (~v90(constB32, 2)) | (~v90(constB32, 0))), inference(lemma,lemma(discharge,[]))).
% 53.93/34.10 tff(11592,plain,
% 53.93/34.10 (~v120(constB29)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11591, 10893, 10902])).
% 53.93/34.10 tff(11593,plain,
% 53.93/34.10 (~v123(constB29)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[6607, 2879, 11177])).
% 53.93/34.10 tff(11594,plain,
% 53.93/34.10 (~v119(constB29)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[6603, 2868, 11177])).
% 53.93/34.10 tff(11595,plain,
% 53.93/34.10 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB29)) | (~v90(constB29, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB29)) | (~v90(constB29, 1)))),
% 53.93/34.10 inference(rewrite,[status(thm)],[])).
% 53.93/34.10 tff(11596,plain,
% 53.93/34.10 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB29)) | (~v90(constB29, 1)))),
% 53.93/34.10 inference(quant_inst,[status(thm)],[])).
% 53.93/34.10 tff(11597,plain,
% 53.93/34.10 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB29)) | (~v90(constB29, 1))),
% 53.93/34.10 inference(modus_ponens,[status(thm)],[11596, 11595])).
% 53.93/34.10 tff(11598,plain,
% 53.93/34.10 (~v124(constB29)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11597, 2890, 11177])).
% 53.93/34.10 tff(11599,plain,
% 53.93/34.10 (~v122(constB29)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11198, 11047])).
% 53.93/34.10 tff(11600,plain,
% 53.93/34.10 (~v130(constB29, 2)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[6871, 11599, 11598, 11594, 11593, 11592])).
% 53.93/34.10 tff(11601,plain,
% 53.93/34.10 (~v127(constB29, 2)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[6879, 11600])).
% 53.93/34.10 tff(11602,plain,
% 53.93/34.10 (~v129(constB30, 2)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[6884, 11601])).
% 53.93/34.10 tff(11603,plain,
% 53.93/34.10 (v129(constB30, 2) | (~v100(constB30))),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[6888, 1223, 11073])).
% 53.93/34.10 tff(11604,plain,
% 53.93/34.10 (~v100(constB30)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11603, 11602])).
% 53.93/34.10 tff(11605,plain,
% 53.93/34.10 (v90(constB29, 0)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11526, 11604, 11047])).
% 53.93/34.10 tff(11606,plain,
% 53.93/34.10 (v90(constB28, 0)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[6516, 11605])).
% 53.93/34.10 tff(11607,assumption,(v90(constB28, 0)), introduced(assumption)).
% 53.93/34.10 tff(11608,assumption,(v122(constB25)), introduced(assumption)).
% 53.93/34.10 tff(11609,plain,
% 53.93/34.10 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB25) | (~v122(constB25)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB25) | (~v122(constB25)))),
% 53.93/34.10 inference(rewrite,[status(thm)],[])).
% 53.93/34.10 tff(11610,plain,
% 53.93/34.10 (((~v122(constB25)) | v116(constB25)) <=> (v116(constB25) | (~v122(constB25)))),
% 53.93/34.10 inference(rewrite,[status(thm)],[])).
% 53.93/34.10 tff(11611,plain,
% 53.93/34.10 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB25)) | v116(constB25))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB25) | (~v122(constB25))))),
% 53.93/34.10 inference(monotonicity,[status(thm)],[11610])).
% 53.93/34.10 tff(11612,plain,
% 53.93/34.10 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB25)) | v116(constB25))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB25) | (~v122(constB25)))),
% 53.93/34.10 inference(transitivity,[status(thm)],[11611, 11609])).
% 53.93/34.10 tff(11613,plain,
% 53.93/34.10 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB25)) | v116(constB25))),
% 53.93/34.10 inference(quant_inst,[status(thm)],[])).
% 53.93/34.10 tff(11614,plain,
% 53.93/34.10 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB25) | (~v122(constB25))),
% 53.93/34.10 inference(modus_ponens,[status(thm)],[11613, 11612])).
% 53.93/34.10 tff(11615,plain,
% 53.93/34.10 (v116(constB25)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11614, 2120, 11608])).
% 53.93/34.10 tff(11616,plain,
% 53.93/34.10 (v115(constB25)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[4873, 1021, 11615])).
% 53.93/34.10 tff(11617,plain,
% 53.93/34.10 (v114(constB25)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[4822, 1035, 11616])).
% 53.93/34.10 tff(11618,plain,
% 53.93/34.10 (v113(constB25)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[4815, 1049, 11617])).
% 53.93/34.10 tff(11619,plain,
% 53.93/34.10 (v112(constB25)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[4986, 11618])).
% 53.93/34.10 tff(11620,plain,
% 53.93/34.10 (v108(constB25)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[4794, 1075, 11619])).
% 53.93/34.10 tff(11621,plain,
% 53.93/34.10 (v110(constB26)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[4787, 11620])).
% 53.93/34.10 tff(11622,plain,
% 53.93/34.10 (v100(constB26)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[4752, 11621])).
% 53.93/34.10 tff(11623,plain,
% 53.93/34.10 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB25)) | (~v130(constB25, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB25)) | (~v130(constB25, 0)))),
% 53.93/34.10 inference(rewrite,[status(thm)],[])).
% 53.93/34.10 tff(11624,plain,
% 53.93/34.10 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB25)) | (~v130(constB25, 0)))),
% 53.93/34.10 inference(quant_inst,[status(thm)],[])).
% 53.93/34.10 tff(11625,plain,
% 53.93/34.10 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB25)) | (~v130(constB25, 0))),
% 53.93/34.10 inference(modus_ponens,[status(thm)],[11624, 11623])).
% 53.93/34.10 tff(11626,plain,
% 53.93/34.10 (~v130(constB25, 0)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11625, 2407, 11608])).
% 53.93/34.10 tff(11627,plain,
% 53.93/34.10 (~v127(constB25, 0)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[5049, 11626])).
% 53.93/34.10 tff(11628,plain,
% 53.93/34.10 (~v129(constB26, 0)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[5054, 11627])).
% 53.93/34.10 tff(11629,plain,
% 53.93/34.10 ((~v90(constB26, 0)) | (~v100(constB26))),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[5062, 1704, 11628])).
% 53.93/34.10 tff(11630,plain,
% 53.93/34.10 (~v90(constB26, 0)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11629, 11622])).
% 53.93/34.10 tff(11631,plain,
% 53.93/34.10 (~v90(constB27, 0)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11275, 11630])).
% 53.93/34.10 tff(11632,plain,
% 53.93/34.10 (v100(constB28)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11326, 11631, 11607])).
% 53.93/34.10 tff(11633,assumption,(v90(constB28, 1)), introduced(assumption)).
% 53.93/34.10 tff(11634,plain,
% 53.93/34.10 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB28, 1)) | v129(constB28, 1) | (~v100(constB28)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB28, 1)) | v129(constB28, 1) | (~v100(constB28)))),
% 53.93/34.10 inference(rewrite,[status(thm)],[])).
% 53.93/34.10 tff(11635,plain,
% 53.93/34.10 (((~v90(constB28, 1)) | (~v100(constB28)) | v129(constB28, 1)) <=> ((~v90(constB28, 1)) | v129(constB28, 1) | (~v100(constB28)))),
% 53.93/34.10 inference(rewrite,[status(thm)],[])).
% 53.93/34.10 tff(11636,plain,
% 53.93/34.10 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB28, 1)) | (~v100(constB28)) | v129(constB28, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB28, 1)) | v129(constB28, 1) | (~v100(constB28))))),
% 53.93/34.10 inference(monotonicity,[status(thm)],[11635])).
% 53.93/34.10 tff(11637,plain,
% 53.93/34.10 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB28, 1)) | (~v100(constB28)) | v129(constB28, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB28, 1)) | v129(constB28, 1) | (~v100(constB28)))),
% 53.93/34.10 inference(transitivity,[status(thm)],[11636, 11634])).
% 53.93/34.10 tff(11638,plain,
% 53.93/34.10 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB28, 1)) | (~v100(constB28)) | v129(constB28, 1))),
% 53.93/34.10 inference(quant_inst,[status(thm)],[])).
% 53.93/34.10 tff(11639,plain,
% 53.93/34.10 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB28, 1)) | v129(constB28, 1) | (~v100(constB28))),
% 53.93/34.10 inference(modus_ponens,[status(thm)],[11638, 11637])).
% 53.93/34.10 tff(11640,plain,
% 53.93/34.10 (v129(constB28, 1) | (~v100(constB28))),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11639, 1309, 11633])).
% 53.93/34.10 tff(11641,plain,
% 53.93/34.10 (v129(constB28, 1)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11640, 11632])).
% 53.93/34.10 tff(11642,plain,
% 53.93/34.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB27, constB28)) | v127(constB27, 1) | (~v129(constB28, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB27, constB28)) | v127(constB27, 1) | (~v129(constB28, 1)))),
% 53.93/34.10 inference(rewrite,[status(thm)],[])).
% 53.93/34.10 tff(11643,plain,
% 53.93/34.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB27, constB28)) | v127(constB27, 1) | (~v129(constB28, 1)))),
% 53.93/34.10 inference(quant_inst,[status(thm)],[])).
% 53.93/34.10 tff(11644,plain,
% 53.93/34.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB27, constB28)) | v127(constB27, 1) | (~v129(constB28, 1))),
% 53.93/34.10 inference(modus_ponens,[status(thm)],[11643, 11642])).
% 53.93/34.10 tff(11645,plain,
% 53.93/34.10 (v127(constB27, 1) | (~v129(constB28, 1))),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11644, 1294, 6312])).
% 53.93/34.10 tff(11646,plain,
% 53.93/34.10 (v127(constB27, 1)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11645, 11641])).
% 53.93/34.10 tff(11647,plain,
% 53.93/34.10 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB27, 1)) | v26(constB27) | v130(constB27, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB27, 1)) | v26(constB27) | v130(constB27, 1))),
% 53.93/34.10 inference(rewrite,[status(thm)],[])).
% 53.93/34.10 tff(11648,plain,
% 53.93/34.10 ((v26(constB27) | v130(constB27, 1) | (~v127(constB27, 1))) <=> ((~v127(constB27, 1)) | v26(constB27) | v130(constB27, 1))),
% 53.93/34.10 inference(rewrite,[status(thm)],[])).
% 53.93/34.10 tff(11649,plain,
% 53.93/34.10 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB27) | v130(constB27, 1) | (~v127(constB27, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB27, 1)) | v26(constB27) | v130(constB27, 1)))),
% 53.93/34.10 inference(monotonicity,[status(thm)],[11648])).
% 53.93/34.10 tff(11650,plain,
% 53.93/34.10 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB27) | v130(constB27, 1) | (~v127(constB27, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB27, 1)) | v26(constB27) | v130(constB27, 1))),
% 53.93/34.10 inference(transitivity,[status(thm)],[11649, 11647])).
% 53.93/34.10 tff(11651,plain,
% 53.93/34.10 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB27) | v130(constB27, 1) | (~v127(constB27, 1)))),
% 53.93/34.10 inference(quant_inst,[status(thm)],[])).
% 53.93/34.10 tff(11652,plain,
% 53.93/34.10 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB27, 1)) | v26(constB27) | v130(constB27, 1)),
% 53.93/34.10 inference(modus_ponens,[status(thm)],[11651, 11650])).
% 53.93/34.10 tff(11653,plain,
% 53.93/34.10 ((~v127(constB27, 1)) | v130(constB27, 1)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11652, 1276, 6294])).
% 53.93/34.10 tff(11654,plain,
% 53.93/34.10 (v130(constB27, 1)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11653, 11646])).
% 53.93/34.10 tff(11655,plain,
% 53.93/34.10 (v130(constB25, 2)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[4919, 1967, 11608])).
% 53.93/34.10 tff(11656,plain,
% 53.93/34.10 (v127(constB25, 2)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[4911, 11655])).
% 53.93/34.10 tff(11657,plain,
% 53.93/34.10 (v129(constB26, 2)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[4906, 11656])).
% 53.93/34.10 tff(11658,plain,
% 53.93/34.10 (v90(constB26, 2) | (~v100(constB26))),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[4900, 2324, 11657])).
% 53.93/34.10 tff(11659,plain,
% 53.93/34.10 (v90(constB26, 2)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11658, 11622])).
% 53.93/34.10 tff(11660,plain,
% 53.93/34.10 (v90(constB27, 2)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[6712, 11659])).
% 53.93/34.10 tff(11661,plain,
% 53.93/34.10 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB25)) | (~v130(constB25, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB25)) | (~v130(constB25, 1)))),
% 53.93/34.10 inference(rewrite,[status(thm)],[])).
% 53.93/34.10 tff(11662,plain,
% 53.93/34.10 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB25)) | (~v130(constB25, 1)))),
% 53.93/34.10 inference(quant_inst,[status(thm)],[])).
% 53.93/34.10 tff(11663,plain,
% 53.93/34.10 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB25)) | (~v130(constB25, 1))),
% 53.93/34.10 inference(modus_ponens,[status(thm)],[11662, 11661])).
% 53.93/34.10 tff(11664,plain,
% 53.93/34.10 (~v130(constB25, 1)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11663, 2366, 11608])).
% 53.93/34.10 tff(11665,plain,
% 53.93/34.10 (~v127(constB25, 1)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[6366, 11664])).
% 53.93/34.10 tff(11666,plain,
% 53.93/34.10 (~v129(constB26, 1)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[6371, 11665])).
% 53.93/34.10 tff(11667,plain,
% 53.93/34.10 ((~v90(constB26, 1)) | (~v100(constB26))),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[6378, 1309, 11666])).
% 53.93/34.10 tff(11668,plain,
% 53.93/34.10 (~v90(constB26, 1)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11667, 11622])).
% 53.93/34.10 tff(11669,plain,
% 53.93/34.10 (~v90(constB27, 1)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[6388, 11668])).
% 53.93/34.10 tff(11670,plain,
% 53.93/34.10 (v123(constB27)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[6230, 2308, 11631, 11669, 11660])).
% 53.93/34.10 tff(11671,plain,
% 53.93/34.10 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB27)) | (~v130(constB27, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB27)) | (~v130(constB27, 1)))),
% 53.93/34.10 inference(rewrite,[status(thm)],[])).
% 53.93/34.10 tff(11672,plain,
% 53.93/34.10 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB27)) | (~v130(constB27, 1)))),
% 53.93/34.10 inference(quant_inst,[status(thm)],[])).
% 53.93/34.10 tff(11673,plain,
% 53.93/34.10 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB27)) | (~v130(constB27, 1))),
% 53.93/34.10 inference(modus_ponens,[status(thm)],[11672, 11671])).
% 53.93/34.10 tff(11674,plain,
% 53.93/34.10 ($false),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11673, 2581, 11670, 11654])).
% 53.93/34.10 tff(11675,plain,((~v122(constB25)) | (~v90(constB28, 1)) | (~v90(constB28, 0))), inference(lemma,lemma(discharge,[]))).
% 53.93/34.10 tff(11676,plain,
% 53.93/34.10 (~v122(constB25)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11675, 11606, 11534])).
% 53.93/34.10 tff(11677,plain,
% 53.93/34.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB29, 2) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB29, 2) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 2)))),
% 53.93/34.10 inference(rewrite,[status(thm)],[])).
% 53.93/34.10 tff(11678,plain,
% 53.93/34.10 (((~nextState(constB29, constB30)) | v90(constB29, 2) | v100(constB30) | (~v90(constB30, 2))) <=> (v90(constB29, 2) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 2)))),
% 53.93/34.10 inference(rewrite,[status(thm)],[])).
% 53.93/34.10 tff(11679,plain,
% 53.93/34.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB29, constB30)) | v90(constB29, 2) | v100(constB30) | (~v90(constB30, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB29, 2) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 2))))),
% 53.93/34.10 inference(monotonicity,[status(thm)],[11678])).
% 53.93/34.10 tff(11680,plain,
% 53.93/34.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB29, constB30)) | v90(constB29, 2) | v100(constB30) | (~v90(constB30, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB29, 2) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 2)))),
% 53.93/34.10 inference(transitivity,[status(thm)],[11679, 11677])).
% 53.93/34.10 tff(11681,plain,
% 53.93/34.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB29, constB30)) | v90(constB29, 2) | v100(constB30) | (~v90(constB30, 2)))),
% 53.93/34.10 inference(quant_inst,[status(thm)],[])).
% 53.93/34.10 tff(11682,plain,
% 53.93/34.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB29, 2) | (~nextState(constB29, constB30)) | v100(constB30) | (~v90(constB30, 2))),
% 53.93/34.10 inference(modus_ponens,[status(thm)],[11681, 11680])).
% 53.93/34.10 tff(11683,plain,
% 53.93/34.10 (v90(constB29, 2) | v100(constB30) | (~v90(constB30, 2))),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11682, 905, 6569])).
% 53.93/34.10 tff(11684,plain,
% 53.93/34.10 (v90(constB29, 2)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11683, 11604, 11073])).
% 53.93/34.10 tff(11685,plain,
% 53.93/34.10 (v90(constB28, 2)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[6451, 11684])).
% 53.93/34.10 tff(11686,assumption,(v100(constB28)), introduced(assumption)).
% 53.93/34.10 tff(11687,plain,
% 53.93/34.10 (v129(constB28, 1)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11640, 11686])).
% 53.93/34.10 tff(11688,plain,
% 53.93/34.10 (v127(constB27, 1)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11645, 11687])).
% 53.93/34.10 tff(11689,plain,
% 53.93/34.10 (v130(constB27, 1)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11653, 11688])).
% 53.93/34.10 tff(11690,plain,
% 53.93/34.10 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB27)) | (~v130(constB27, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB27)) | (~v130(constB27, 1)))),
% 53.93/34.10 inference(rewrite,[status(thm)],[])).
% 53.93/34.10 tff(11691,plain,
% 53.93/34.10 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB27)) | (~v130(constB27, 1)))),
% 53.93/34.10 inference(quant_inst,[status(thm)],[])).
% 53.93/34.10 tff(11692,plain,
% 53.93/34.10 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB27)) | (~v130(constB27, 1))),
% 53.93/34.10 inference(modus_ponens,[status(thm)],[11691, 11690])).
% 53.93/34.10 tff(11693,plain,
% 53.93/34.10 (~v122(constB27)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11692, 2366, 11689])).
% 53.93/34.10 tff(11694,assumption,(v90(constB28, 2)), introduced(assumption)).
% 53.93/34.10 tff(11695,plain,
% 53.93/34.10 (v129(constB28, 2) | (~v100(constB28))),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[6423, 1223, 11694])).
% 53.93/34.10 tff(11696,plain,
% 53.93/34.10 (v129(constB28, 2)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11695, 11686])).
% 53.93/34.10 tff(11697,plain,
% 53.93/34.10 (v127(constB27, 2)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[6419, 11696])).
% 53.93/34.10 tff(11698,plain,
% 53.93/34.10 (v130(constB27, 2)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[6414, 11697])).
% 53.93/34.10 tff(11699,plain,
% 53.93/34.10 (v129(constB28, 0) | (~v100(constB28))),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[6506, 1704, 11607])).
% 53.93/34.10 tff(11700,plain,
% 53.93/34.10 (v129(constB28, 0)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11699, 11686])).
% 53.93/34.10 tff(11701,plain,
% 53.93/34.10 (v127(constB27, 0)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[6499, 11700])).
% 53.93/34.10 tff(11702,plain,
% 53.93/34.10 (v130(constB27, 0)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[6494, 11701])).
% 53.93/34.10 tff(11703,plain,
% 53.93/34.10 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB27)) | (~v130(constB27, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB27)) | (~v130(constB27, 0)))),
% 53.93/34.10 inference(rewrite,[status(thm)],[])).
% 53.93/34.10 tff(11704,plain,
% 53.93/34.10 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB27)) | (~v130(constB27, 0)))),
% 53.93/34.10 inference(quant_inst,[status(thm)],[])).
% 53.93/34.10 tff(11705,plain,
% 53.93/34.10 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB27)) | (~v130(constB27, 0))),
% 53.93/34.10 inference(modus_ponens,[status(thm)],[11704, 11703])).
% 53.93/34.10 tff(11706,plain,
% 53.93/34.10 (~v124(constB27)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11705, 3274, 11702])).
% 53.93/34.10 tff(11707,plain,
% 53.93/34.10 (~v120(constB27)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[6486, 1657, 11702])).
% 53.93/34.10 tff(11708,plain,
% 53.93/34.10 (~v123(constB27)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11673, 2581, 11689])).
% 53.93/34.10 tff(11709,plain,
% 53.93/34.10 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB27)) | (~v130(constB27, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB27)) | (~v130(constB27, 1)))),
% 53.93/34.10 inference(rewrite,[status(thm)],[])).
% 53.93/34.10 tff(11710,plain,
% 53.93/34.10 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB27)) | (~v130(constB27, 1)))),
% 53.93/34.10 inference(quant_inst,[status(thm)],[])).
% 53.93/34.10 tff(11711,plain,
% 53.93/34.10 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB27)) | (~v130(constB27, 1))),
% 53.93/34.10 inference(modus_ponens,[status(thm)],[11710, 11709])).
% 53.93/34.10 tff(11712,plain,
% 53.93/34.10 (~v119(constB27)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11711, 1262, 11689])).
% 53.93/34.10 tff(11713,plain,
% 53.93/34.10 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB27) | v120(constB27) | v121(constB27) | v122(constB27) | v123(constB27) | v124(constB27) | (~v130(constB27, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB27) | v120(constB27) | v121(constB27) | v122(constB27) | v123(constB27) | v124(constB27) | (~v130(constB27, 2)))),
% 53.93/34.10 inference(rewrite,[status(thm)],[])).
% 53.93/34.10 tff(11714,plain,
% 53.93/34.10 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB27) | v120(constB27) | v121(constB27) | v122(constB27) | v123(constB27) | v124(constB27) | (~v130(constB27, 2)))),
% 53.93/34.10 inference(quant_inst,[status(thm)],[])).
% 53.93/34.10 tff(11715,plain,
% 53.93/34.10 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB27) | v120(constB27) | v121(constB27) | v122(constB27) | v123(constB27) | v124(constB27) | (~v130(constB27, 2))),
% 53.93/34.10 inference(modus_ponens,[status(thm)],[11714, 11713])).
% 53.93/34.10 tff(11716,plain,
% 53.93/34.10 (v121(constB27)),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[11715, 2904, 11712, 11708, 11707, 11706, 11698, 11693])).
% 53.93/34.10 tff(11717,plain,
% 53.93/34.10 ($false),
% 53.93/34.10 inference(unit_resolution,[status(thm)],[6684, 1821, 11698, 11716])).
% 53.93/34.10 tff(11718,plain,((~v100(constB28)) | (~v90(constB28, 2)) | (~v90(constB28, 0)) | (~v90(constB28, 1))), inference(lemma,lemma(discharge,[]))).
% 53.93/34.11 tff(11719,plain,
% 53.93/34.11 (~v100(constB28)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[11718, 11606, 11534, 11685])).
% 53.93/34.11 tff(11720,plain,
% 53.93/34.11 (v90(constB27, 0)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[11326, 11719, 11606])).
% 53.93/34.11 tff(11721,plain,
% 53.93/34.11 (v90(constB26, 0)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[11275, 11720])).
% 53.93/34.11 tff(11722,plain,
% 53.93/34.11 (v90(constB27, 1)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[11508, 11719, 11534])).
% 53.93/34.11 tff(11723,plain,
% 53.93/34.11 (v90(constB26, 1)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[6388, 11722])).
% 53.93/34.11 tff(11724,plain,
% 53.93/34.11 (v90(constB27, 2)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[6621, 11719, 11685])).
% 53.93/34.11 tff(11725,plain,
% 53.93/34.11 (v90(constB26, 2)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[6180, 11724])).
% 53.93/34.11 tff(11726,assumption,(v90(constB26, 2)), introduced(assumption)).
% 53.93/34.11 tff(11727,plain,
% 53.93/34.11 (v129(constB26, 2) | (~v100(constB26))),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[6153, 1223, 11726])).
% 53.93/34.11 tff(11728,plain,
% 53.93/34.11 (v129(constB26, 2)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[11727, 11251])).
% 53.93/34.11 tff(11729,plain,
% 53.93/34.11 (v127(constB25, 2)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[4727, 11728])).
% 53.93/34.11 tff(11730,plain,
% 53.93/34.11 (v130(constB25, 2)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[4719, 11729])).
% 53.93/34.11 tff(11731,plain,
% 53.93/34.11 (v129(constB26, 0)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[5063, 11251])).
% 53.93/34.11 tff(11732,plain,
% 53.93/34.11 (v127(constB25, 0)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[5054, 11731])).
% 53.93/34.11 tff(11733,plain,
% 53.93/34.11 (v130(constB25, 0)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[5049, 11732])).
% 53.93/34.11 tff(11734,plain,
% 53.93/34.11 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB25)) | (~v130(constB25, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB25)) | (~v130(constB25, 0)))),
% 53.93/34.11 inference(rewrite,[status(thm)],[])).
% 53.93/34.11 tff(11735,plain,
% 53.93/34.11 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB25)) | (~v130(constB25, 0)))),
% 53.93/34.11 inference(quant_inst,[status(thm)],[])).
% 53.93/34.11 tff(11736,plain,
% 53.93/34.11 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB25)) | (~v130(constB25, 0))),
% 53.93/34.11 inference(modus_ponens,[status(thm)],[11735, 11734])).
% 53.93/34.11 tff(11737,plain,
% 53.93/34.11 (~v124(constB25)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[11736, 3274, 11733])).
% 53.93/34.11 tff(11738,assumption,(v90(constB26, 1)), introduced(assumption)).
% 53.93/34.11 tff(11739,plain,
% 53.93/34.11 (v129(constB26, 1) | (~v100(constB26))),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[6378, 1309, 11738])).
% 53.93/34.11 tff(11740,plain,
% 53.93/34.11 (v129(constB26, 1)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[11739, 11251])).
% 53.93/34.11 tff(11741,plain,
% 53.93/34.11 (v127(constB25, 1)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[6371, 11740])).
% 53.93/34.11 tff(11742,plain,
% 53.93/34.11 (v130(constB25, 1)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[6366, 11741])).
% 53.93/34.11 tff(11743,plain,
% 53.93/34.11 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB25)) | (~v130(constB25, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB25)) | (~v130(constB25, 1)))),
% 53.93/34.11 inference(rewrite,[status(thm)],[])).
% 53.93/34.11 tff(11744,plain,
% 53.93/34.11 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB25)) | (~v130(constB25, 1)))),
% 53.93/34.11 inference(quant_inst,[status(thm)],[])).
% 53.93/34.11 tff(11745,plain,
% 53.93/34.11 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB25)) | (~v130(constB25, 1))),
% 53.93/34.11 inference(modus_ponens,[status(thm)],[11744, 11743])).
% 53.93/34.11 tff(11746,plain,
% 53.93/34.11 (~v123(constB25)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[11745, 2581, 11742])).
% 53.93/34.11 tff(11747,plain,
% 53.93/34.11 ($false),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[4707, 11746, 11737, 11730, 4699])).
% 53.93/34.11 tff(11748,plain,((~v100(constB26)) | v122(constB25) | (~v90(constB26, 1)) | (~v90(constB26, 0)) | (~v90(constB26, 2))), inference(lemma,lemma(discharge,[]))).
% 53.93/34.11 tff(11749,plain,
% 53.93/34.11 (~v100(constB26)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[11748, 11725, 11676, 11723, 11721])).
% 53.93/34.11 tff(11750,plain,
% 53.93/34.11 (v124(constB25)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[6132, 11749, 11676, 11533])).
% 53.93/34.11 tff(11751,plain,
% 53.93/34.11 (v90(constB25, 1)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[4972, 11749, 11723])).
% 53.93/34.11 tff(11752,plain,
% 53.93/34.11 ($false),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[4680, 2890, 11751, 11750])).
% 53.93/34.11 tff(11753,plain,(v100(constB50) | (~v90(constB50, 2)) | v123(constB49) | v124(constB49)), inference(lemma,lemma(discharge,[]))).
% 53.93/34.11 tff(11754,plain,
% 53.93/34.11 (v123(constB49)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[11753, 9142, 8980, 9138])).
% 53.93/34.11 tff(11755,plain,
% 53.93/34.11 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB49) | (~v123(constB49)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB49) | (~v123(constB49)))),
% 53.93/34.11 inference(rewrite,[status(thm)],[])).
% 53.93/34.11 tff(11756,plain,
% 53.93/34.11 (((~v123(constB49)) | v115(constB49)) <=> (v115(constB49) | (~v123(constB49)))),
% 53.93/34.11 inference(rewrite,[status(thm)],[])).
% 53.93/34.11 tff(11757,plain,
% 53.93/34.11 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB49)) | v115(constB49))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB49) | (~v123(constB49))))),
% 53.93/34.11 inference(monotonicity,[status(thm)],[11756])).
% 53.93/34.11 tff(11758,plain,
% 53.93/34.11 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB49)) | v115(constB49))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB49) | (~v123(constB49)))),
% 53.93/34.11 inference(transitivity,[status(thm)],[11757, 11755])).
% 53.93/34.11 tff(11759,plain,
% 53.93/34.11 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB49)) | v115(constB49))),
% 53.93/34.11 inference(quant_inst,[status(thm)],[])).
% 53.93/34.11 tff(11760,plain,
% 53.93/34.11 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB49) | (~v123(constB49))),
% 53.93/34.11 inference(modus_ponens,[status(thm)],[11759, 11758])).
% 53.93/34.11 tff(11761,plain,
% 53.93/34.11 ($false),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[11760, 2291, 11754, 9051])).
% 53.93/34.11 tff(11762,plain,(v100(constB50)), inference(lemma,lemma(discharge,[]))).
% 53.93/34.11 tff(11763,plain,
% 53.93/34.11 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB50, 0) | (~v129(constB50, 0)) | (~v100(constB50)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB50, 0) | (~v129(constB50, 0)) | (~v100(constB50)))),
% 53.93/34.11 inference(rewrite,[status(thm)],[])).
% 53.93/34.11 tff(11764,plain,
% 53.93/34.11 ((v90(constB50, 0) | (~v100(constB50)) | (~v129(constB50, 0))) <=> (v90(constB50, 0) | (~v129(constB50, 0)) | (~v100(constB50)))),
% 53.93/34.11 inference(rewrite,[status(thm)],[])).
% 53.93/34.11 tff(11765,plain,
% 53.93/34.11 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB50, 0) | (~v100(constB50)) | (~v129(constB50, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB50, 0) | (~v129(constB50, 0)) | (~v100(constB50))))),
% 53.93/34.11 inference(monotonicity,[status(thm)],[11764])).
% 53.93/34.11 tff(11766,plain,
% 53.93/34.11 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB50, 0) | (~v100(constB50)) | (~v129(constB50, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB50, 0) | (~v129(constB50, 0)) | (~v100(constB50)))),
% 53.93/34.11 inference(transitivity,[status(thm)],[11765, 11763])).
% 53.93/34.11 tff(11767,plain,
% 53.93/34.11 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB50, 0) | (~v100(constB50)) | (~v129(constB50, 0)))),
% 53.93/34.11 inference(quant_inst,[status(thm)],[])).
% 53.93/34.11 tff(11768,plain,
% 53.93/34.11 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB50, 0) | (~v129(constB50, 0)) | (~v100(constB50))),
% 53.93/34.11 inference(modus_ponens,[status(thm)],[11767, 11766])).
% 53.93/34.11 tff(11769,plain,
% 53.93/34.11 (v90(constB50, 0) | (~v129(constB50, 0))),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[11768, 1377, 11762])).
% 53.93/34.11 tff(11770,plain,
% 53.93/34.11 (v90(constB50, 0)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[11769, 8979])).
% 53.93/34.11 tff(11771,plain,
% 53.93/34.11 ((~v1(constB51)) <=> (~v1(constB51))),
% 53.93/34.11 inference(rewrite,[status(thm)],[])).
% 53.93/34.11 tff(11772,axiom,(~v1(constB51)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_51_1_1')).
% 53.93/34.11 tff(11773,plain,
% 53.93/34.11 (~v1(constB51)),
% 53.93/34.11 inference(modus_ponens,[status(thm)],[11772, 11771])).
% 53.93/34.11 tff(11774,plain,
% 53.93/34.11 (nextState(constB50, constB51) <=> nextState(constB50, constB51)),
% 53.93/34.11 inference(rewrite,[status(thm)],[])).
% 53.93/34.11 tff(11775,axiom,(nextState(constB50, constB51)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_50_1')).
% 53.93/34.11 tff(11776,plain,
% 53.93/34.11 (nextState(constB50, constB51)),
% 53.93/34.11 inference(modus_ponens,[status(thm)],[11775, 11774])).
% 53.93/34.11 tff(11777,plain,
% 53.93/34.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51)))),
% 53.93/34.11 inference(rewrite,[status(thm)],[])).
% 53.93/34.11 tff(11778,plain,
% 53.93/34.11 (((~nextState(constB50, constB51)) | (~v101(constB51)) | v1(constB51)) <=> (v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51)))),
% 53.93/34.11 inference(rewrite,[status(thm)],[])).
% 53.93/34.11 tff(11779,plain,
% 53.93/34.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB50, constB51)) | (~v101(constB51)) | v1(constB51))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51))))),
% 53.93/34.11 inference(monotonicity,[status(thm)],[11778])).
% 53.93/34.11 tff(11780,plain,
% 53.93/34.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB50, constB51)) | (~v101(constB51)) | v1(constB51))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51)))),
% 53.93/34.11 inference(transitivity,[status(thm)],[11779, 11777])).
% 53.93/34.11 tff(11781,plain,
% 53.93/34.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB50, constB51)) | (~v101(constB51)) | v1(constB51))),
% 53.93/34.11 inference(quant_inst,[status(thm)],[])).
% 53.93/34.11 tff(11782,plain,
% 53.93/34.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB51) | (~nextState(constB50, constB51)) | (~v101(constB51))),
% 53.93/34.11 inference(modus_ponens,[status(thm)],[11781, 11780])).
% 53.93/34.11 tff(11783,plain,
% 53.93/34.11 (~v101(constB51)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[11782, 873, 11776, 11773])).
% 53.93/34.11 tff(11784,plain,
% 53.93/34.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB50, constB51)) | v101(constB51) | (~v100(constB51)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB50, constB51)) | v101(constB51) | (~v100(constB51)))),
% 53.93/34.11 inference(rewrite,[status(thm)],[])).
% 53.93/34.11 tff(11785,plain,
% 53.93/34.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB50, constB51)) | v101(constB51) | (~v100(constB51)))),
% 53.93/34.11 inference(quant_inst,[status(thm)],[])).
% 53.93/34.11 tff(11786,plain,
% 53.93/34.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB50, constB51)) | v101(constB51) | (~v100(constB51))),
% 53.93/34.11 inference(modus_ponens,[status(thm)],[11785, 11784])).
% 53.93/34.11 tff(11787,plain,
% 53.93/34.11 (v101(constB51) | (~v100(constB51))),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[11786, 890, 11776])).
% 53.93/34.11 tff(11788,plain,
% 53.93/34.11 (~v100(constB51)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[11787, 11783])).
% 53.93/34.11 tff(11789,plain,
% 53.93/34.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB50, 0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB50, 0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, 0))),
% 53.93/34.11 inference(rewrite,[status(thm)],[])).
% 53.93/34.11 tff(11790,plain,
% 53.93/34.11 (((~nextState(constB50, constB51)) | (~v90(constB50, 0)) | v100(constB51) | v90(constB51, 0)) <=> ((~v90(constB50, 0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, 0))),
% 53.93/34.11 inference(rewrite,[status(thm)],[])).
% 53.93/34.11 tff(11791,plain,
% 53.93/34.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB50, constB51)) | (~v90(constB50, 0)) | v100(constB51) | v90(constB51, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB50, 0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, 0)))),
% 53.93/34.11 inference(monotonicity,[status(thm)],[11790])).
% 53.93/34.11 tff(11792,plain,
% 53.93/34.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB50, constB51)) | (~v90(constB50, 0)) | v100(constB51) | v90(constB51, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB50, 0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, 0))),
% 53.93/34.11 inference(transitivity,[status(thm)],[11791, 11789])).
% 53.93/34.11 tff(11793,plain,
% 53.93/34.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB50, constB51)) | (~v90(constB50, 0)) | v100(constB51) | v90(constB51, 0))),
% 53.93/34.11 inference(quant_inst,[status(thm)],[])).
% 53.93/34.11 tff(11794,plain,
% 53.93/34.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB50, 0)) | (~nextState(constB50, constB51)) | v100(constB51) | v90(constB51, 0)),
% 53.93/34.11 inference(modus_ponens,[status(thm)],[11793, 11792])).
% 53.93/34.11 tff(11795,plain,
% 53.93/34.11 ((~v90(constB50, 0)) | v100(constB51) | v90(constB51, 0)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[11794, 1395, 11776])).
% 53.93/34.11 tff(11796,plain,
% 53.93/34.11 ((~v90(constB50, 0)) | v90(constB51, 0)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[11795, 11788])).
% 53.93/34.11 tff(11797,plain,
% 53.93/34.11 (v90(constB51, 0)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[11796, 11770])).
% 53.93/34.11 tff(11798,plain,
% 53.93/34.11 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, 1)))),
% 53.93/34.11 inference(rewrite,[status(thm)],[])).
% 53.93/34.11 tff(11799,plain,
% 53.93/34.11 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, 1)))),
% 53.93/34.11 inference(quant_inst,[status(thm)],[])).
% 53.93/34.11 tff(11800,plain,
% 53.93/34.11 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB49) | v120(constB49) | v121(constB49) | v122(constB49) | v123(constB49) | v124(constB49) | (~v130(constB49, 1))),
% 53.93/34.11 inference(modus_ponens,[status(thm)],[11799, 11798])).
% 53.93/34.11 tff(11801,plain,
% 53.93/34.11 (~v130(constB49, 1)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[11800, 3309, 8958, 8954, 8950, 8946, 8911, 8907])).
% 53.93/34.11 tff(11802,plain,
% 53.93/34.11 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB49, 1)) | v26(constB49) | v130(constB49, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB49, 1)) | v26(constB49) | v130(constB49, 1))),
% 53.93/34.11 inference(rewrite,[status(thm)],[])).
% 53.93/34.11 tff(11803,plain,
% 53.93/34.11 ((v26(constB49) | v130(constB49, 1) | (~v127(constB49, 1))) <=> ((~v127(constB49, 1)) | v26(constB49) | v130(constB49, 1))),
% 53.93/34.11 inference(rewrite,[status(thm)],[])).
% 53.93/34.11 tff(11804,plain,
% 53.93/34.11 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB49) | v130(constB49, 1) | (~v127(constB49, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB49, 1)) | v26(constB49) | v130(constB49, 1)))),
% 53.93/34.11 inference(monotonicity,[status(thm)],[11803])).
% 53.93/34.11 tff(11805,plain,
% 53.93/34.11 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB49) | v130(constB49, 1) | (~v127(constB49, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB49, 1)) | v26(constB49) | v130(constB49, 1))),
% 53.93/34.11 inference(transitivity,[status(thm)],[11804, 11802])).
% 53.93/34.11 tff(11806,plain,
% 53.93/34.11 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB49) | v130(constB49, 1) | (~v127(constB49, 1)))),
% 53.93/34.11 inference(quant_inst,[status(thm)],[])).
% 53.93/34.11 tff(11807,plain,
% 53.93/34.11 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB49, 1)) | v26(constB49) | v130(constB49, 1)),
% 53.93/34.11 inference(modus_ponens,[status(thm)],[11806, 11805])).
% 53.93/34.11 tff(11808,plain,
% 53.93/34.11 ((~v127(constB49, 1)) | v130(constB49, 1)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[11807, 1276, 8966])).
% 53.93/34.11 tff(11809,plain,
% 53.93/34.11 (~v127(constB49, 1)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[11808, 11801])).
% 53.93/34.11 tff(11810,plain,
% 53.93/34.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB49, constB50)) | v127(constB49, 1) | (~v129(constB50, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB49, constB50)) | v127(constB49, 1) | (~v129(constB50, 1)))),
% 53.93/34.11 inference(rewrite,[status(thm)],[])).
% 53.93/34.11 tff(11811,plain,
% 53.93/34.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB49, constB50)) | v127(constB49, 1) | (~v129(constB50, 1)))),
% 53.93/34.11 inference(quant_inst,[status(thm)],[])).
% 53.93/34.11 tff(11812,plain,
% 53.93/34.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB49, constB50)) | v127(constB49, 1) | (~v129(constB50, 1))),
% 53.93/34.11 inference(modus_ponens,[status(thm)],[11811, 11810])).
% 53.93/34.11 tff(11813,plain,
% 53.93/34.11 (v127(constB49, 1) | (~v129(constB50, 1))),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[11812, 1294, 8974])).
% 53.93/34.11 tff(11814,plain,
% 53.93/34.11 (~v129(constB50, 1)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[11813, 11809])).
% 53.93/34.11 tff(11815,plain,
% 53.93/34.11 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB50, 1)) | v129(constB50, 1) | (~v100(constB50)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB50, 1)) | v129(constB50, 1) | (~v100(constB50)))),
% 53.93/34.11 inference(rewrite,[status(thm)],[])).
% 53.93/34.11 tff(11816,plain,
% 53.93/34.11 (((~v90(constB50, 1)) | (~v100(constB50)) | v129(constB50, 1)) <=> ((~v90(constB50, 1)) | v129(constB50, 1) | (~v100(constB50)))),
% 53.93/34.11 inference(rewrite,[status(thm)],[])).
% 53.93/34.11 tff(11817,plain,
% 53.93/34.11 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB50, 1)) | (~v100(constB50)) | v129(constB50, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB50, 1)) | v129(constB50, 1) | (~v100(constB50))))),
% 53.93/34.11 inference(monotonicity,[status(thm)],[11816])).
% 53.93/34.11 tff(11818,plain,
% 53.93/34.11 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB50, 1)) | (~v100(constB50)) | v129(constB50, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB50, 1)) | v129(constB50, 1) | (~v100(constB50)))),
% 53.93/34.11 inference(transitivity,[status(thm)],[11817, 11815])).
% 53.93/34.11 tff(11819,plain,
% 53.93/34.11 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB50, 1)) | (~v100(constB50)) | v129(constB50, 1))),
% 53.93/34.11 inference(quant_inst,[status(thm)],[])).
% 53.93/34.11 tff(11820,plain,
% 53.93/34.11 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB50, 1)) | v129(constB50, 1) | (~v100(constB50))),
% 53.93/34.11 inference(modus_ponens,[status(thm)],[11819, 11818])).
% 53.93/34.11 tff(11821,plain,
% 53.93/34.11 ((~v90(constB50, 1)) | v129(constB50, 1)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[11820, 1309, 11762])).
% 53.93/34.11 tff(11822,plain,
% 53.93/34.11 (~v90(constB50, 1)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[11821, 11814])).
% 53.93/34.11 tff(11823,plain,
% 53.93/34.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB50, 1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB50, 1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, 1)))),
% 53.93/34.11 inference(rewrite,[status(thm)],[])).
% 53.93/34.11 tff(11824,plain,
% 53.93/34.11 (((~nextState(constB50, constB51)) | v90(constB50, 1) | v100(constB51) | (~v90(constB51, 1))) <=> (v90(constB50, 1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, 1)))),
% 53.93/34.11 inference(rewrite,[status(thm)],[])).
% 53.93/34.11 tff(11825,plain,
% 53.93/34.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB50, constB51)) | v90(constB50, 1) | v100(constB51) | (~v90(constB51, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB50, 1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, 1))))),
% 53.93/34.11 inference(monotonicity,[status(thm)],[11824])).
% 53.93/34.11 tff(11826,plain,
% 53.93/34.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB50, constB51)) | v90(constB50, 1) | v100(constB51) | (~v90(constB51, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB50, 1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, 1)))),
% 53.93/34.11 inference(transitivity,[status(thm)],[11825, 11823])).
% 53.93/34.11 tff(11827,plain,
% 53.93/34.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB50, constB51)) | v90(constB50, 1) | v100(constB51) | (~v90(constB51, 1)))),
% 53.93/34.11 inference(quant_inst,[status(thm)],[])).
% 53.93/34.11 tff(11828,plain,
% 53.93/34.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB50, 1) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, 1))),
% 53.93/34.11 inference(modus_ponens,[status(thm)],[11827, 11826])).
% 53.93/34.11 tff(11829,plain,
% 53.93/34.11 (v90(constB50, 1) | v100(constB51) | (~v90(constB51, 1))),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[11828, 926, 11776])).
% 53.93/34.11 tff(11830,plain,
% 53.93/34.11 (v90(constB50, 1) | (~v90(constB51, 1))),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[11829, 11788])).
% 53.93/34.11 tff(11831,plain,
% 53.93/34.11 (~v90(constB51, 1)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[11830, 11822])).
% 53.93/34.11 tff(11832,assumption,(v124(constB47)), introduced(assumption)).
% 53.93/34.11 tff(11833,plain,
% 53.93/34.11 (v114(constB47)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[8790, 2674, 11832])).
% 53.93/34.11 tff(11834,plain,
% 53.93/34.11 (v113(constB47)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[8797, 1049, 11833])).
% 53.93/34.11 tff(11835,plain,
% 53.93/34.11 (v112(constB47)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[8809, 11834])).
% 53.93/34.11 tff(11836,plain,
% 53.93/34.11 (v108(constB47)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[8816, 1075, 11835])).
% 53.93/34.11 tff(11837,plain,
% 53.93/34.11 (v110(constB48)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[8827, 11836])).
% 53.93/34.11 tff(11838,plain,
% 53.93/34.11 (v100(constB48)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[8853, 11837])).
% 53.93/34.11 tff(11839,plain,
% 53.93/34.11 (v130(constB47, 2)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[8857, 2741, 11832])).
% 53.93/34.11 tff(11840,plain,
% 53.93/34.11 (v127(constB47, 2)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[8862, 11839])).
% 53.93/34.11 tff(11841,plain,
% 53.93/34.11 (v129(constB48, 2)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[8867, 11840])).
% 53.93/34.11 tff(11842,plain,
% 53.93/34.11 (v90(constB48, 2) | (~v100(constB48))),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[8874, 2324, 11841])).
% 53.93/34.11 tff(11843,plain,
% 53.93/34.11 (v90(constB48, 2)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[11842, 11838])).
% 53.93/34.11 tff(11844,plain,
% 53.93/34.11 (v90(constB49, 2)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[8902, 11843])).
% 53.93/34.11 tff(11845,plain,
% 53.93/34.11 (~v121(constB49)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[8906, 2857, 11844])).
% 53.93/34.11 tff(11846,plain,
% 53.93/34.11 (~v122(constB49)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[8910, 2797, 11844])).
% 53.93/34.11 tff(11847,plain,
% 53.93/34.11 (v130(constB47, 1)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[8914, 2808, 11832])).
% 53.93/34.11 tff(11848,plain,
% 53.93/34.11 (v127(constB47, 1)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[8919, 11847])).
% 53.93/34.11 tff(11849,plain,
% 53.93/34.11 (v129(constB48, 1)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[8924, 11848])).
% 53.93/34.11 tff(11850,plain,
% 53.93/34.11 (v90(constB48, 1) | (~v100(constB48))),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[8931, 1623, 11849])).
% 53.93/34.11 tff(11851,plain,
% 53.93/34.11 (v90(constB48, 1)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[11850, 11838])).
% 53.93/34.11 tff(11852,plain,
% 53.93/34.11 (v90(constB49, 1)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[8941, 11851])).
% 53.93/34.11 tff(11853,plain,
% 53.93/34.11 (~v119(constB49)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[8945, 2868, 11852])).
% 53.93/34.11 tff(11854,plain,
% 53.93/34.11 (~v120(constB49)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[8949, 2846, 11852])).
% 53.93/34.11 tff(11855,plain,
% 53.93/34.11 (~v124(constB49)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[8953, 2890, 11852])).
% 53.93/34.11 tff(11856,plain,
% 53.93/34.11 (~v130(constB49, 2)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[9392, 2904, 9144, 11855, 11854, 11853, 11846, 11845])).
% 53.93/34.11 tff(11857,plain,
% 53.93/34.11 (~v127(constB49, 2)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[9366, 11856])).
% 53.93/34.11 tff(11858,plain,
% 53.93/34.11 (~v129(constB50, 2)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[9358, 11857])).
% 53.93/34.11 tff(11859,plain,
% 53.93/34.11 (~v130(constB47, 0)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[9564, 3274, 11832])).
% 53.93/34.11 tff(11860,plain,
% 53.93/34.11 (~v127(constB47, 0)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[9443, 11859])).
% 53.93/34.11 tff(11861,plain,
% 53.93/34.11 (~v129(constB48, 0)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[9448, 11860])).
% 53.93/34.11 tff(11862,plain,
% 53.93/34.11 ((~v90(constB48, 0)) | (~v100(constB48))),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[9455, 1704, 11861])).
% 53.93/34.11 tff(11863,plain,
% 53.93/34.11 (~v90(constB48, 0)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[11862, 11838])).
% 53.93/34.11 tff(11864,plain,
% 53.93/34.11 (~v90(constB49, 0)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[9465, 11863])).
% 53.93/34.11 tff(11865,plain,
% 53.93/34.11 (v125(constB49)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[9377, 2279, 11864, 11852, 11844])).
% 53.93/34.11 tff(11866,plain,
% 53.93/34.11 (v113(constB49)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[9403, 2262, 11865])).
% 53.93/34.11 tff(11867,plain,
% 53.93/34.11 (v108(constB49)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[9039, 11866])).
% 53.93/34.11 tff(11868,plain,
% 53.93/34.11 (v110(constB50)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[9013, 11867])).
% 53.93/34.11 tff(11869,plain,
% 53.93/34.11 (v100(constB50)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[9005, 11868])).
% 53.93/34.11 tff(11870,plain,
% 53.93/34.11 ($false),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[9353, 11869, 11858])).
% 53.93/34.11 tff(11871,plain,((~v124(constB47)) | (~v90(constB50, 2)) | v123(constB49)), inference(lemma,lemma(discharge,[]))).
% 53.93/34.11 tff(11872,plain,
% 53.93/34.11 (~v90(constB50, 2)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[11871, 8958, 8784])).
% 53.93/34.11 tff(11873,plain,
% 53.93/34.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB50, 2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB50, 2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, 2)))),
% 53.93/34.11 inference(rewrite,[status(thm)],[])).
% 53.93/34.11 tff(11874,plain,
% 53.93/34.11 (((~nextState(constB50, constB51)) | v90(constB50, 2) | v100(constB51) | (~v90(constB51, 2))) <=> (v90(constB50, 2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, 2)))),
% 53.93/34.11 inference(rewrite,[status(thm)],[])).
% 53.93/34.11 tff(11875,plain,
% 53.93/34.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB50, constB51)) | v90(constB50, 2) | v100(constB51) | (~v90(constB51, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB50, 2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, 2))))),
% 53.93/34.11 inference(monotonicity,[status(thm)],[11874])).
% 53.93/34.11 tff(11876,plain,
% 53.93/34.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB50, constB51)) | v90(constB50, 2) | v100(constB51) | (~v90(constB51, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB50, 2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, 2)))),
% 53.93/34.11 inference(transitivity,[status(thm)],[11875, 11873])).
% 53.93/34.11 tff(11877,plain,
% 53.93/34.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB50, constB51)) | v90(constB50, 2) | v100(constB51) | (~v90(constB51, 2)))),
% 53.93/34.11 inference(quant_inst,[status(thm)],[])).
% 53.93/34.11 tff(11878,plain,
% 53.93/34.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB50, 2) | (~nextState(constB50, constB51)) | v100(constB51) | (~v90(constB51, 2))),
% 53.93/34.11 inference(modus_ponens,[status(thm)],[11877, 11876])).
% 53.93/34.11 tff(11879,plain,
% 53.93/34.11 (v90(constB50, 2) | v100(constB51) | (~v90(constB51, 2))),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[11878, 905, 11776])).
% 53.93/34.11 tff(11880,plain,
% 53.93/34.11 (v90(constB50, 2) | (~v90(constB51, 2))),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[11879, 11788])).
% 53.93/34.11 tff(11881,plain,
% 53.93/34.11 (~v90(constB51, 2)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[11880, 11872])).
% 53.93/34.11 tff(11882,plain,
% 53.93/34.11 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB51, 0)) | v90(constB51, 1) | v90(constB51, 2) | v120(constB51))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB51, 0)) | v90(constB51, 1) | v90(constB51, 2) | v120(constB51))),
% 53.93/34.11 inference(rewrite,[status(thm)],[])).
% 53.93/34.11 tff(11883,plain,
% 53.93/34.11 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB51, 0)) | v90(constB51, 1) | v90(constB51, 2) | v120(constB51))),
% 53.93/34.11 inference(quant_inst,[status(thm)],[])).
% 53.93/34.11 tff(11884,plain,
% 53.93/34.11 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB51, 0)) | v90(constB51, 1) | v90(constB51, 2) | v120(constB51)),
% 53.93/34.11 inference(modus_ponens,[status(thm)],[11883, 11882])).
% 53.93/34.11 tff(11885,plain,
% 53.93/34.11 ((~v90(constB51, 0)) | v90(constB51, 1) | v120(constB51)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[11884, 1414, 11881])).
% 53.93/34.11 tff(11886,plain,
% 53.93/34.11 (v120(constB51)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[11885, 11831, 11797])).
% 53.93/34.11 tff(11887,plain,
% 53.93/34.11 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB51)) | v118(constB51))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB51)) | v118(constB51))),
% 53.93/34.11 inference(rewrite,[status(thm)],[])).
% 53.93/34.11 tff(11888,plain,
% 53.93/34.11 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB51)) | v118(constB51))),
% 53.93/34.11 inference(quant_inst,[status(thm)],[])).
% 53.93/34.11 tff(11889,plain,
% 53.93/34.11 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB51)) | v118(constB51)),
% 53.93/34.11 inference(modus_ponens,[status(thm)],[11888, 11887])).
% 53.93/34.11 tff(11890,plain,
% 53.93/34.11 (v118(constB51)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[11889, 1425, 11886])).
% 53.93/34.11 tff(11891,plain,
% 53.93/34.11 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB51) | (~v118(constB51)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB51) | (~v118(constB51)))),
% 53.93/34.11 inference(rewrite,[status(thm)],[])).
% 53.93/34.11 tff(11892,plain,
% 53.93/34.11 (((~v118(constB51)) | v117(constB51)) <=> (v117(constB51) | (~v118(constB51)))),
% 53.93/34.11 inference(rewrite,[status(thm)],[])).
% 53.93/34.11 tff(11893,plain,
% 53.93/34.11 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB51)) | v117(constB51))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB51) | (~v118(constB51))))),
% 53.93/34.11 inference(monotonicity,[status(thm)],[11892])).
% 53.93/34.11 tff(11894,plain,
% 53.93/34.11 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB51)) | v117(constB51))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB51) | (~v118(constB51)))),
% 53.93/34.11 inference(transitivity,[status(thm)],[11893, 11891])).
% 53.93/34.11 tff(11895,plain,
% 53.93/34.11 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB51)) | v117(constB51))),
% 53.93/34.11 inference(quant_inst,[status(thm)],[])).
% 53.93/34.11 tff(11896,plain,
% 53.93/34.11 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB51) | (~v118(constB51))),
% 53.93/34.11 inference(modus_ponens,[status(thm)],[11895, 11894])).
% 53.93/34.11 tff(11897,plain,
% 53.93/34.11 (v117(constB51)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[11896, 993, 11890])).
% 53.93/34.11 tff(11898,plain,
% 53.93/34.11 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB51)) | v116(constB51))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB51)) | v116(constB51))),
% 53.93/34.11 inference(rewrite,[status(thm)],[])).
% 53.93/34.11 tff(11899,plain,
% 53.93/34.11 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB51)) | v116(constB51))),
% 53.93/34.11 inference(quant_inst,[status(thm)],[])).
% 53.93/34.11 tff(11900,plain,
% 53.93/34.11 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB51)) | v116(constB51)),
% 53.93/34.11 inference(modus_ponens,[status(thm)],[11899, 11898])).
% 53.93/34.11 tff(11901,plain,
% 53.93/34.11 (v116(constB51)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[11900, 1007, 11897])).
% 53.93/34.11 tff(11902,plain,
% 53.93/34.11 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB51) | (~v116(constB51)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB51) | (~v116(constB51)))),
% 53.93/34.11 inference(rewrite,[status(thm)],[])).
% 53.93/34.11 tff(11903,plain,
% 53.93/34.11 (((~v116(constB51)) | v115(constB51)) <=> (v115(constB51) | (~v116(constB51)))),
% 53.93/34.11 inference(rewrite,[status(thm)],[])).
% 53.93/34.11 tff(11904,plain,
% 53.93/34.11 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB51)) | v115(constB51))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB51) | (~v116(constB51))))),
% 53.93/34.11 inference(monotonicity,[status(thm)],[11903])).
% 53.93/34.11 tff(11905,plain,
% 53.93/34.11 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB51)) | v115(constB51))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB51) | (~v116(constB51)))),
% 53.93/34.11 inference(transitivity,[status(thm)],[11904, 11902])).
% 53.93/34.11 tff(11906,plain,
% 53.93/34.11 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB51)) | v115(constB51))),
% 53.93/34.11 inference(quant_inst,[status(thm)],[])).
% 53.93/34.11 tff(11907,plain,
% 53.93/34.11 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB51) | (~v116(constB51))),
% 53.93/34.11 inference(modus_ponens,[status(thm)],[11906, 11905])).
% 53.93/34.11 tff(11908,plain,
% 53.93/34.11 (v115(constB51)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[11907, 1021, 11901])).
% 53.93/34.11 tff(11909,plain,
% 53.93/34.11 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB51)) | v114(constB51))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB51)) | v114(constB51))),
% 53.93/34.11 inference(rewrite,[status(thm)],[])).
% 53.93/34.11 tff(11910,plain,
% 53.93/34.11 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB51)) | v114(constB51))),
% 53.93/34.11 inference(quant_inst,[status(thm)],[])).
% 53.93/34.11 tff(11911,plain,
% 53.93/34.11 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB51)) | v114(constB51)),
% 53.93/34.11 inference(modus_ponens,[status(thm)],[11910, 11909])).
% 53.93/34.11 tff(11912,plain,
% 53.93/34.11 (v114(constB51)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[11911, 1035, 11908])).
% 53.93/34.11 tff(11913,plain,
% 53.93/34.11 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB51) | (~v114(constB51)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB51) | (~v114(constB51)))),
% 53.93/34.11 inference(rewrite,[status(thm)],[])).
% 53.93/34.11 tff(11914,plain,
% 53.93/34.11 (((~v114(constB51)) | v113(constB51)) <=> (v113(constB51) | (~v114(constB51)))),
% 53.93/34.11 inference(rewrite,[status(thm)],[])).
% 53.93/34.11 tff(11915,plain,
% 53.93/34.11 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB51)) | v113(constB51))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB51) | (~v114(constB51))))),
% 53.93/34.11 inference(monotonicity,[status(thm)],[11914])).
% 53.93/34.11 tff(11916,plain,
% 53.93/34.11 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB51)) | v113(constB51))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB51) | (~v114(constB51)))),
% 53.93/34.11 inference(transitivity,[status(thm)],[11915, 11913])).
% 53.93/34.11 tff(11917,plain,
% 53.93/34.11 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB51)) | v113(constB51))),
% 53.93/34.11 inference(quant_inst,[status(thm)],[])).
% 53.93/34.11 tff(11918,plain,
% 53.93/34.11 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB51) | (~v114(constB51))),
% 53.93/34.11 inference(modus_ponens,[status(thm)],[11917, 11916])).
% 53.93/34.11 tff(11919,plain,
% 53.93/34.11 (v113(constB51)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[11918, 1049, 11912])).
% 53.93/34.11 tff(11920,assumption,(v26(constB51)), introduced(assumption)).
% 53.93/34.11 tff(11921,plain,
% 53.93/34.11 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB51))),
% 53.93/34.11 inference(quant_inst,[status(thm)],[])).
% 53.93/34.11 tff(11922,plain,
% 53.93/34.11 ($false),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[11921, 828, 11920])).
% 53.93/34.11 tff(11923,plain,(~v26(constB51)), inference(lemma,lemma(discharge,[]))).
% 53.93/34.11 tff(11924,plain,
% 53.93/34.11 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB51) | v112(constB51) | (~v113(constB51)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB51) | v112(constB51) | (~v113(constB51)))),
% 53.93/34.11 inference(rewrite,[status(thm)],[])).
% 53.93/34.11 tff(11925,plain,
% 53.93/34.11 ((v26(constB51) | (~v113(constB51)) | v112(constB51)) <=> (v26(constB51) | v112(constB51) | (~v113(constB51)))),
% 53.93/34.11 inference(rewrite,[status(thm)],[])).
% 53.93/34.11 tff(11926,plain,
% 53.93/34.11 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB51) | (~v113(constB51)) | v112(constB51))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB51) | v112(constB51) | (~v113(constB51))))),
% 53.93/34.11 inference(monotonicity,[status(thm)],[11925])).
% 53.93/34.11 tff(11927,plain,
% 53.93/34.11 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB51) | (~v113(constB51)) | v112(constB51))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB51) | v112(constB51) | (~v113(constB51)))),
% 53.93/34.11 inference(transitivity,[status(thm)],[11926, 11924])).
% 53.93/34.11 tff(11928,plain,
% 53.93/34.11 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB51) | (~v113(constB51)) | v112(constB51))),
% 53.93/34.11 inference(quant_inst,[status(thm)],[])).
% 53.93/34.11 tff(11929,plain,
% 53.93/34.11 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB51) | v112(constB51) | (~v113(constB51))),
% 53.93/34.11 inference(modus_ponens,[status(thm)],[11928, 11927])).
% 53.93/34.11 tff(11930,plain,
% 53.93/34.11 (v112(constB51) | (~v113(constB51))),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[11929, 1063, 11923])).
% 53.93/34.11 tff(11931,plain,
% 53.93/34.11 (v112(constB51)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[11930, 11919])).
% 53.93/34.11 tff(11932,plain,
% 53.93/34.11 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB51) | (~v112(constB51)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB51) | (~v112(constB51)))),
% 53.93/34.11 inference(rewrite,[status(thm)],[])).
% 53.93/34.11 tff(11933,plain,
% 53.93/34.11 (((~v112(constB51)) | v108(constB51)) <=> (v108(constB51) | (~v112(constB51)))),
% 53.93/34.11 inference(rewrite,[status(thm)],[])).
% 53.93/34.11 tff(11934,plain,
% 53.93/34.11 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB51)) | v108(constB51))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB51) | (~v112(constB51))))),
% 53.93/34.11 inference(monotonicity,[status(thm)],[11933])).
% 53.93/34.11 tff(11935,plain,
% 53.93/34.11 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB51)) | v108(constB51))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB51) | (~v112(constB51)))),
% 53.93/34.11 inference(transitivity,[status(thm)],[11934, 11932])).
% 53.93/34.11 tff(11936,plain,
% 53.93/34.11 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB51)) | v108(constB51))),
% 53.93/34.11 inference(quant_inst,[status(thm)],[])).
% 53.93/34.11 tff(11937,plain,
% 53.93/34.11 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB51) | (~v112(constB51))),
% 53.93/34.11 inference(modus_ponens,[status(thm)],[11936, 11935])).
% 53.93/34.11 tff(11938,plain,
% 53.93/34.11 (v108(constB51)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[11937, 1075, 11931])).
% 53.93/34.11 tff(11939,plain,
% 53.93/34.11 (nextState(constB51, constB52) <=> nextState(constB51, constB52)),
% 53.93/34.11 inference(rewrite,[status(thm)],[])).
% 53.93/34.11 tff(11940,axiom,(nextState(constB51, constB52)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_51_1')).
% 53.93/34.11 tff(11941,plain,
% 53.93/34.11 (nextState(constB51, constB52)),
% 53.93/34.11 inference(modus_ponens,[status(thm)],[11940, 11939])).
% 53.93/34.11 tff(11942,plain,
% 53.93/34.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51)))),
% 53.93/34.11 inference(rewrite,[status(thm)],[])).
% 53.93/34.11 tff(11943,plain,
% 53.93/34.11 (((~nextState(constB51, constB52)) | (~v108(constB51)) | v110(constB52)) <=> ((~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51)))),
% 53.93/34.11 inference(rewrite,[status(thm)],[])).
% 53.93/34.11 tff(11944,plain,
% 53.93/34.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB51, constB52)) | (~v108(constB51)) | v110(constB52))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51))))),
% 53.93/34.11 inference(monotonicity,[status(thm)],[11943])).
% 53.93/34.11 tff(11945,plain,
% 53.93/34.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB51, constB52)) | (~v108(constB51)) | v110(constB52))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51)))),
% 53.93/34.11 inference(transitivity,[status(thm)],[11944, 11942])).
% 53.93/34.11 tff(11946,plain,
% 53.93/34.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB51, constB52)) | (~v108(constB51)) | v110(constB52))),
% 53.93/34.11 inference(quant_inst,[status(thm)],[])).
% 53.93/34.11 tff(11947,plain,
% 53.93/34.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB51, constB52)) | v110(constB52) | (~v108(constB51))),
% 53.93/34.11 inference(modus_ponens,[status(thm)],[11946, 11945])).
% 53.93/34.11 tff(11948,plain,
% 53.93/34.11 (v110(constB52) | (~v108(constB51))),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[11947, 1095, 11941])).
% 53.93/34.11 tff(11949,plain,
% 53.93/34.11 (v110(constB52)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[11948, 11938])).
% 53.93/34.11 tff(11950,plain,
% 53.93/34.11 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB51) | (~nextState(constB51, constB52)) | (~v104(constB52)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB51) | (~nextState(constB51, constB52)) | (~v104(constB52)))),
% 53.93/34.11 inference(rewrite,[status(thm)],[])).
% 53.93/34.11 tff(11951,plain,
% 53.93/34.11 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB51) | (~nextState(constB51, constB52)) | (~v104(constB52)))),
% 53.93/34.11 inference(quant_inst,[status(thm)],[])).
% 53.93/34.11 tff(11952,plain,
% 53.93/34.11 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB51) | (~nextState(constB51, constB52)) | (~v104(constB52))),
% 53.93/34.11 inference(modus_ponens,[status(thm)],[11951, 11950])).
% 53.93/34.11 tff(11953,plain,
% 53.93/34.11 (~v104(constB52)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[11952, 1113, 11941, 11773])).
% 53.93/34.11 tff(11954,plain,
% 53.93/34.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB51, constB52)) | v102(constB52) | v104(constB52))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB51, constB52)) | v102(constB52) | v104(constB52))),
% 53.93/34.11 inference(rewrite,[status(thm)],[])).
% 53.93/34.11 tff(11955,plain,
% 53.93/34.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB51, constB52)) | v102(constB52) | v104(constB52))),
% 53.93/34.11 inference(quant_inst,[status(thm)],[])).
% 53.93/34.11 tff(11956,plain,
% 53.93/34.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB51, constB52)) | v102(constB52) | v104(constB52)),
% 53.93/34.11 inference(modus_ponens,[status(thm)],[11955, 11954])).
% 53.93/34.11 tff(11957,plain,
% 53.93/34.11 (v102(constB52) | v104(constB52)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[11956, 1127, 11941])).
% 53.93/34.11 tff(11958,plain,
% 53.93/34.11 (v102(constB52)),
% 53.93/34.11 inference(unit_resolution,[status(thm)],[11957, 11953])).
% 53.93/34.11 tff(11959,plain,
% 53.93/34.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB51, constB52)) | v101(constB52) | (~v102(constB52)) | (~v1(constB52)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB51, constB52)) | v101(constB52) | (~v102(constB52)) | (~v1(constB52)))),
% 53.93/34.11 inference(rewrite,[status(thm)],[])).
% 53.93/34.12 tff(11960,plain,
% 53.93/34.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB51, constB52)) | v101(constB52) | (~v102(constB52)) | (~v1(constB52)))),
% 53.93/34.12 inference(quant_inst,[status(thm)],[])).
% 53.93/34.12 tff(11961,plain,
% 53.93/34.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB51, constB52)) | v101(constB52) | (~v102(constB52)) | (~v1(constB52))),
% 53.93/34.12 inference(modus_ponens,[status(thm)],[11960, 11959])).
% 53.93/34.12 tff(11962,plain,
% 53.93/34.12 (v101(constB52) | (~v102(constB52))),
% 53.93/34.12 inference(unit_resolution,[status(thm)],[11961, 1145, 11941, 233])).
% 53.93/34.12 tff(11963,plain,
% 53.93/34.12 (v101(constB52)),
% 53.93/34.12 inference(unit_resolution,[status(thm)],[11962, 11958])).
% 53.93/34.12 tff(11964,plain,
% 53.93/34.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52)))),
% 53.93/34.12 inference(rewrite,[status(thm)],[])).
% 53.93/34.12 tff(11965,plain,
% 53.93/34.12 (((~nextState(constB51, constB52)) | (~v101(constB52)) | (~v110(constB52)) | v100(constB52)) <=> ((~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52)))),
% 53.93/34.12 inference(rewrite,[status(thm)],[])).
% 53.93/34.12 tff(11966,plain,
% 53.93/34.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB51, constB52)) | (~v101(constB52)) | (~v110(constB52)) | v100(constB52))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52))))),
% 53.93/34.12 inference(monotonicity,[status(thm)],[11965])).
% 53.93/34.12 tff(11967,plain,
% 53.93/34.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB51, constB52)) | (~v101(constB52)) | (~v110(constB52)) | v100(constB52))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52)))),
% 53.93/34.12 inference(transitivity,[status(thm)],[11966, 11964])).
% 53.93/34.12 tff(11968,plain,
% 53.93/34.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB51, constB52)) | (~v101(constB52)) | (~v110(constB52)) | v100(constB52))),
% 53.93/34.12 inference(quant_inst,[status(thm)],[])).
% 53.93/34.12 tff(11969,plain,
% 53.93/34.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB51, constB52)) | v100(constB52) | (~v101(constB52)) | (~v110(constB52))),
% 53.93/34.12 inference(modus_ponens,[status(thm)],[11968, 11967])).
% 53.93/34.12 tff(11970,plain,
% 53.93/34.12 (v100(constB52) | (~v101(constB52)) | (~v110(constB52))),
% 53.93/34.12 inference(unit_resolution,[status(thm)],[11969, 1160, 11941])).
% 53.93/34.12 tff(11971,plain,
% 53.93/34.12 (v100(constB52) | (~v110(constB52))),
% 53.93/34.12 inference(unit_resolution,[status(thm)],[11970, 11963])).
% 53.93/34.12 tff(11972,plain,
% 53.93/34.12 (v100(constB52)),
% 53.93/34.12 inference(unit_resolution,[status(thm)],[11971, 11949])).
% 53.93/34.12 tff(11973,plain,
% 53.93/34.12 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB51)) | (~v130(constB51, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB51)) | (~v130(constB51, 2)))),
% 53.93/34.12 inference(rewrite,[status(thm)],[])).
% 53.93/34.12 tff(11974,plain,
% 53.93/34.12 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB51)) | (~v130(constB51, 2)))),
% 53.93/34.12 inference(quant_inst,[status(thm)],[])).
% 53.93/34.12 tff(11975,plain,
% 53.93/34.12 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB51)) | (~v130(constB51, 2))),
% 53.93/34.12 inference(modus_ponens,[status(thm)],[11974, 11973])).
% 53.93/34.12 tff(11976,plain,
% 53.93/34.12 (~v130(constB51, 2)),
% 53.93/34.12 inference(unit_resolution,[status(thm)],[11975, 1523, 11886])).
% 53.93/34.12 tff(11977,plain,
% 53.93/34.12 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB51, 2)) | v26(constB51) | v130(constB51, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB51, 2)) | v26(constB51) | v130(constB51, 2))),
% 53.93/34.12 inference(rewrite,[status(thm)],[])).
% 53.93/34.12 tff(11978,plain,
% 53.93/34.12 ((v26(constB51) | v130(constB51, 2) | (~v127(constB51, 2))) <=> ((~v127(constB51, 2)) | v26(constB51) | v130(constB51, 2))),
% 53.93/34.12 inference(rewrite,[status(thm)],[])).
% 53.93/34.12 tff(11979,plain,
% 53.93/34.12 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB51) | v130(constB51, 2) | (~v127(constB51, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB51, 2)) | v26(constB51) | v130(constB51, 2)))),
% 53.93/34.12 inference(monotonicity,[status(thm)],[11978])).
% 53.93/34.12 tff(11980,plain,
% 53.93/34.12 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB51) | v130(constB51, 2) | (~v127(constB51, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB51, 2)) | v26(constB51) | v130(constB51, 2))),
% 53.93/34.12 inference(transitivity,[status(thm)],[11979, 11977])).
% 53.93/34.12 tff(11981,plain,
% 53.93/34.12 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB51) | v130(constB51, 2) | (~v127(constB51, 2)))),
% 53.93/34.12 inference(quant_inst,[status(thm)],[])).
% 53.93/34.12 tff(11982,plain,
% 53.93/34.12 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB51, 2)) | v26(constB51) | v130(constB51, 2)),
% 53.93/34.12 inference(modus_ponens,[status(thm)],[11981, 11980])).
% 53.93/34.12 tff(11983,plain,
% 53.93/34.12 ((~v127(constB51, 2)) | v130(constB51, 2)),
% 53.93/34.12 inference(unit_resolution,[status(thm)],[11982, 1190, 11923])).
% 53.93/34.12 tff(11984,plain,
% 53.93/34.12 (~v127(constB51, 2)),
% 53.93/34.12 inference(unit_resolution,[status(thm)],[11983, 11976])).
% 53.93/34.12 tff(11985,plain,
% 53.93/34.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB51, constB52)) | v127(constB51, 2) | (~v129(constB52, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB51, constB52)) | v127(constB51, 2) | (~v129(constB52, 2)))),
% 53.93/34.12 inference(rewrite,[status(thm)],[])).
% 53.93/34.12 tff(11986,plain,
% 53.93/34.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB51, constB52)) | v127(constB51, 2) | (~v129(constB52, 2)))),
% 53.93/34.12 inference(quant_inst,[status(thm)],[])).
% 53.93/34.12 tff(11987,plain,
% 53.93/34.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB51, constB52)) | v127(constB51, 2) | (~v129(constB52, 2))),
% 53.93/34.12 inference(modus_ponens,[status(thm)],[11986, 11985])).
% 53.93/34.12 tff(11988,plain,
% 53.93/34.12 (v127(constB51, 2) | (~v129(constB52, 2))),
% 53.93/34.12 inference(unit_resolution,[status(thm)],[11987, 1208, 11941])).
% 53.93/34.12 tff(11989,plain,
% 53.93/34.12 (~v129(constB52, 2)),
% 53.93/34.12 inference(unit_resolution,[status(thm)],[11988, 11984])).
% 53.93/34.12 tff(11990,plain,
% 53.93/34.12 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB52, 2)) | v129(constB52, 2) | (~v100(constB52)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB52, 2)) | v129(constB52, 2) | (~v100(constB52)))),
% 53.93/34.12 inference(rewrite,[status(thm)],[])).
% 53.93/34.12 tff(11991,plain,
% 53.93/34.12 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB52, 2)) | v129(constB52, 2) | (~v100(constB52)))),
% 53.93/34.12 inference(quant_inst,[status(thm)],[])).
% 53.93/34.12 tff(11992,plain,
% 53.93/34.12 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB52, 2)) | v129(constB52, 2) | (~v100(constB52))),
% 53.93/34.12 inference(modus_ponens,[status(thm)],[11991, 11990])).
% 53.93/34.12 tff(11993,plain,
% 53.93/34.12 ((~v90(constB52, 2)) | (~v100(constB52))),
% 53.93/34.12 inference(unit_resolution,[status(thm)],[11992, 1223, 11989])).
% 53.93/34.12 tff(11994,plain,
% 53.93/34.12 (~v90(constB52, 2)),
% 53.93/34.12 inference(unit_resolution,[status(thm)],[11993, 11972])).
% 53.93/34.12 tff(11995,plain,
% 53.93/34.12 ((~v1(constB53)) <=> (~v1(constB53))),
% 53.93/34.12 inference(rewrite,[status(thm)],[])).
% 53.93/34.12 tff(11996,axiom,(~v1(constB53)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_53_1_1')).
% 53.93/34.12 tff(11997,plain,
% 53.93/34.12 (~v1(constB53)),
% 53.93/34.12 inference(modus_ponens,[status(thm)],[11996, 11995])).
% 53.93/34.12 tff(11998,plain,
% 53.93/34.12 (nextState(constB52, constB53) <=> nextState(constB52, constB53)),
% 53.93/34.12 inference(rewrite,[status(thm)],[])).
% 53.93/34.12 tff(11999,axiom,(nextState(constB52, constB53)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_52_1')).
% 53.93/34.12 tff(12000,plain,
% 53.93/34.12 (nextState(constB52, constB53)),
% 53.93/34.12 inference(modus_ponens,[status(thm)],[11999, 11998])).
% 53.93/34.12 tff(12001,plain,
% 53.93/34.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53)))),
% 53.93/34.12 inference(rewrite,[status(thm)],[])).
% 53.93/34.12 tff(12002,plain,
% 53.93/34.12 (((~nextState(constB52, constB53)) | (~v101(constB53)) | v1(constB53)) <=> (v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53)))),
% 53.93/34.12 inference(rewrite,[status(thm)],[])).
% 53.93/34.12 tff(12003,plain,
% 53.93/34.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB52, constB53)) | (~v101(constB53)) | v1(constB53))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53))))),
% 53.93/34.12 inference(monotonicity,[status(thm)],[12002])).
% 53.93/34.12 tff(12004,plain,
% 53.93/34.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB52, constB53)) | (~v101(constB53)) | v1(constB53))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53)))),
% 53.93/34.12 inference(transitivity,[status(thm)],[12003, 12001])).
% 53.93/34.12 tff(12005,plain,
% 53.93/34.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB52, constB53)) | (~v101(constB53)) | v1(constB53))),
% 53.93/34.12 inference(quant_inst,[status(thm)],[])).
% 53.93/34.12 tff(12006,plain,
% 53.93/34.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB53) | (~nextState(constB52, constB53)) | (~v101(constB53))),
% 53.93/34.12 inference(modus_ponens,[status(thm)],[12005, 12004])).
% 53.93/34.12 tff(12007,plain,
% 53.93/34.12 (~v101(constB53)),
% 53.93/34.12 inference(unit_resolution,[status(thm)],[12006, 873, 12000, 11997])).
% 53.93/34.12 tff(12008,plain,
% 53.93/34.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB52, constB53)) | v101(constB53) | (~v100(constB53)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB52, constB53)) | v101(constB53) | (~v100(constB53)))),
% 53.93/34.12 inference(rewrite,[status(thm)],[])).
% 53.93/34.12 tff(12009,plain,
% 53.93/34.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB52, constB53)) | v101(constB53) | (~v100(constB53)))),
% 53.93/34.12 inference(quant_inst,[status(thm)],[])).
% 53.93/34.12 tff(12010,plain,
% 53.93/34.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB52, constB53)) | v101(constB53) | (~v100(constB53))),
% 53.93/34.12 inference(modus_ponens,[status(thm)],[12009, 12008])).
% 53.93/34.12 tff(12011,plain,
% 53.93/34.12 (v101(constB53) | (~v100(constB53))),
% 53.93/34.12 inference(unit_resolution,[status(thm)],[12010, 890, 12000])).
% 53.93/34.12 tff(12012,plain,
% 53.93/34.12 (~v100(constB53)),
% 53.93/34.12 inference(unit_resolution,[status(thm)],[12011, 12007])).
% 53.93/34.12 tff(12013,plain,
% 53.93/34.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB52, 2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB52, 2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, 2)))),
% 53.93/34.12 inference(rewrite,[status(thm)],[])).
% 53.93/34.12 tff(12014,plain,
% 53.93/34.12 (((~nextState(constB52, constB53)) | v90(constB52, 2) | v100(constB53) | (~v90(constB53, 2))) <=> (v90(constB52, 2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, 2)))),
% 53.93/34.12 inference(rewrite,[status(thm)],[])).
% 53.93/34.12 tff(12015,plain,
% 53.93/34.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB52, constB53)) | v90(constB52, 2) | v100(constB53) | (~v90(constB53, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB52, 2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, 2))))),
% 53.93/34.12 inference(monotonicity,[status(thm)],[12014])).
% 53.93/34.12 tff(12016,plain,
% 53.93/34.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB52, constB53)) | v90(constB52, 2) | v100(constB53) | (~v90(constB53, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB52, 2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, 2)))),
% 53.93/34.12 inference(transitivity,[status(thm)],[12015, 12013])).
% 53.93/34.12 tff(12017,plain,
% 53.93/34.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB52, constB53)) | v90(constB52, 2) | v100(constB53) | (~v90(constB53, 2)))),
% 53.93/34.12 inference(quant_inst,[status(thm)],[])).
% 53.93/34.12 tff(12018,plain,
% 53.93/34.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB52, 2) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, 2))),
% 53.93/34.12 inference(modus_ponens,[status(thm)],[12017, 12016])).
% 53.93/34.12 tff(12019,plain,
% 53.93/34.12 (v90(constB52, 2) | v100(constB53) | (~v90(constB53, 2))),
% 53.93/34.12 inference(unit_resolution,[status(thm)],[12018, 905, 12000])).
% 53.93/34.12 tff(12020,plain,
% 53.93/34.12 (v90(constB52, 2) | (~v90(constB53, 2))),
% 53.93/34.12 inference(unit_resolution,[status(thm)],[12019, 12012])).
% 53.93/34.12 tff(12021,plain,
% 53.93/34.12 (~v90(constB53, 2)),
% 53.93/34.12 inference(unit_resolution,[status(thm)],[12020, 11994])).
% 53.93/34.12 tff(12022,plain,
% 53.93/34.12 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB51)) | v130(constB51, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB51)) | v130(constB51, 1))),
% 53.93/34.12 inference(rewrite,[status(thm)],[])).
% 53.93/34.12 tff(12023,plain,
% 53.93/34.12 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB51)) | v130(constB51, 1))),
% 53.93/34.12 inference(quant_inst,[status(thm)],[])).
% 53.93/34.12 tff(12024,plain,
% 53.93/34.12 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB51)) | v130(constB51, 1)),
% 53.93/34.12 inference(modus_ponens,[status(thm)],[12023, 12022])).
% 53.93/34.12 tff(12025,plain,
% 53.93/34.12 (v130(constB51, 1)),
% 53.93/34.12 inference(unit_resolution,[status(thm)],[12024, 1579, 11886])).
% 53.93/34.12 tff(12026,plain,
% 53.93/34.12 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB51) | (~v130(constB51, 1)) | v127(constB51, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB51) | (~v130(constB51, 1)) | v127(constB51, 1))),
% 53.93/34.12 inference(rewrite,[status(thm)],[])).
% 53.93/34.12 tff(12027,plain,
% 53.93/34.12 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB51) | (~v130(constB51, 1)) | v127(constB51, 1))),
% 53.93/34.12 inference(quant_inst,[status(thm)],[])).
% 53.93/34.12 tff(12028,plain,
% 53.93/34.12 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB51) | (~v130(constB51, 1)) | v127(constB51, 1)),
% 53.93/34.12 inference(modus_ponens,[status(thm)],[12027, 12026])).
% 53.93/34.12 tff(12029,plain,
% 53.93/34.12 ((~v130(constB51, 1)) | v127(constB51, 1)),
% 53.93/34.12 inference(unit_resolution,[status(thm)],[12028, 1593, 11923])).
% 53.93/34.12 tff(12030,plain,
% 53.93/34.12 (v127(constB51, 1)),
% 53.93/34.12 inference(unit_resolution,[status(thm)],[12029, 12025])).
% 53.93/34.12 tff(12031,plain,
% 53.93/34.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB51, constB52)) | (~v127(constB51, 1)) | v129(constB52, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB51, constB52)) | (~v127(constB51, 1)) | v129(constB52, 1))),
% 53.93/34.12 inference(rewrite,[status(thm)],[])).
% 53.93/34.12 tff(12032,plain,
% 53.93/34.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB51, constB52)) | (~v127(constB51, 1)) | v129(constB52, 1))),
% 53.93/34.12 inference(quant_inst,[status(thm)],[])).
% 53.93/34.12 tff(12033,plain,
% 53.93/34.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB51, constB52)) | (~v127(constB51, 1)) | v129(constB52, 1)),
% 53.93/34.12 inference(modus_ponens,[status(thm)],[12032, 12031])).
% 53.93/34.12 tff(12034,plain,
% 53.93/34.12 ((~v127(constB51, 1)) | v129(constB52, 1)),
% 53.93/34.12 inference(unit_resolution,[status(thm)],[12033, 1608, 11941])).
% 53.93/34.12 tff(12035,plain,
% 53.93/34.12 (v129(constB52, 1)),
% 53.93/34.12 inference(unit_resolution,[status(thm)],[12034, 12030])).
% 53.93/34.12 tff(12036,plain,
% 53.93/34.12 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB52, 1) | (~v129(constB52, 1)) | (~v100(constB52)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB52, 1) | (~v129(constB52, 1)) | (~v100(constB52)))),
% 53.93/34.12 inference(rewrite,[status(thm)],[])).
% 53.93/34.12 tff(12037,plain,
% 53.93/34.12 ((v90(constB52, 1) | (~v100(constB52)) | (~v129(constB52, 1))) <=> (v90(constB52, 1) | (~v129(constB52, 1)) | (~v100(constB52)))),
% 53.93/34.12 inference(rewrite,[status(thm)],[])).
% 53.93/34.12 tff(12038,plain,
% 53.93/34.12 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB52, 1) | (~v100(constB52)) | (~v129(constB52, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB52, 1) | (~v129(constB52, 1)) | (~v100(constB52))))),
% 53.93/34.12 inference(monotonicity,[status(thm)],[12037])).
% 53.93/34.12 tff(12039,plain,
% 53.93/34.12 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB52, 1) | (~v100(constB52)) | (~v129(constB52, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB52, 1) | (~v129(constB52, 1)) | (~v100(constB52)))),
% 53.93/34.12 inference(transitivity,[status(thm)],[12038, 12036])).
% 53.93/34.12 tff(12040,plain,
% 53.93/34.12 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB52, 1) | (~v100(constB52)) | (~v129(constB52, 1)))),
% 53.93/34.12 inference(quant_inst,[status(thm)],[])).
% 53.93/34.12 tff(12041,plain,
% 53.93/34.12 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB52, 1) | (~v129(constB52, 1)) | (~v100(constB52))),
% 53.93/34.12 inference(modus_ponens,[status(thm)],[12040, 12039])).
% 53.93/34.12 tff(12042,plain,
% 53.93/34.12 (v90(constB52, 1) | (~v100(constB52))),
% 53.93/34.12 inference(unit_resolution,[status(thm)],[12041, 1623, 12035])).
% 53.93/34.12 tff(12043,plain,
% 53.93/34.12 (v90(constB52, 1)),
% 53.93/34.12 inference(unit_resolution,[status(thm)],[12042, 11972])).
% 53.93/34.12 tff(12044,plain,
% 53.93/34.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB52, 1)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB52, 1)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, 1))),
% 53.93/34.12 inference(rewrite,[status(thm)],[])).
% 53.93/34.12 tff(12045,plain,
% 53.93/34.12 (((~nextState(constB52, constB53)) | (~v90(constB52, 1)) | v100(constB53) | v90(constB53, 1)) <=> ((~v90(constB52, 1)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, 1))),
% 53.93/34.12 inference(rewrite,[status(thm)],[])).
% 53.93/34.12 tff(12046,plain,
% 53.93/34.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB52, constB53)) | (~v90(constB52, 1)) | v100(constB53) | v90(constB53, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB52, 1)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, 1)))),
% 53.93/34.12 inference(monotonicity,[status(thm)],[12045])).
% 53.93/34.12 tff(12047,plain,
% 53.93/34.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB52, constB53)) | (~v90(constB52, 1)) | v100(constB53) | v90(constB53, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB52, 1)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, 1))),
% 53.93/34.12 inference(transitivity,[status(thm)],[12046, 12044])).
% 53.93/34.12 tff(12048,plain,
% 53.93/34.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB52, constB53)) | (~v90(constB52, 1)) | v100(constB53) | v90(constB53, 1))),
% 53.93/34.12 inference(quant_inst,[status(thm)],[])).
% 53.93/34.12 tff(12049,plain,
% 53.93/34.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB52, 1)) | (~nextState(constB52, constB53)) | v100(constB53) | v90(constB53, 1)),
% 53.93/34.12 inference(modus_ponens,[status(thm)],[12048, 12047])).
% 53.93/34.12 tff(12050,plain,
% 53.93/34.12 ((~v90(constB52, 1)) | v100(constB53) | v90(constB53, 1)),
% 53.93/34.12 inference(unit_resolution,[status(thm)],[12049, 1641, 12000])).
% 53.93/34.12 tff(12051,plain,
% 53.93/34.12 ((~v90(constB52, 1)) | v90(constB53, 1)),
% 53.93/34.12 inference(unit_resolution,[status(thm)],[12050, 12012])).
% 53.93/34.12 tff(12052,plain,
% 53.93/34.12 (v90(constB53, 1)),
% 53.93/34.12 inference(unit_resolution,[status(thm)],[12051, 12043])).
% 53.93/34.12 tff(12053,plain,
% 53.93/34.12 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB51)) | (~v130(constB51, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB51)) | (~v130(constB51, 0)))),
% 53.93/34.12 inference(rewrite,[status(thm)],[])).
% 53.93/34.12 tff(12054,plain,
% 53.93/34.12 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB51)) | (~v130(constB51, 0)))),
% 53.93/34.12 inference(quant_inst,[status(thm)],[])).
% 53.93/34.12 tff(12055,plain,
% 53.93/34.12 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB51)) | (~v130(constB51, 0))),
% 53.93/34.12 inference(modus_ponens,[status(thm)],[12054, 12053])).
% 53.93/34.12 tff(12056,plain,
% 53.93/34.12 (~v130(constB51, 0)),
% 53.93/34.12 inference(unit_resolution,[status(thm)],[12055, 1657, 11886])).
% 53.93/34.12 tff(12057,plain,
% 53.93/34.12 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB51, 0)) | v26(constB51) | v130(constB51, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB51, 0)) | v26(constB51) | v130(constB51, 0))),
% 53.93/34.12 inference(rewrite,[status(thm)],[])).
% 53.93/34.12 tff(12058,plain,
% 53.93/34.12 ((v26(constB51) | v130(constB51, 0) | (~v127(constB51, 0))) <=> ((~v127(constB51, 0)) | v26(constB51) | v130(constB51, 0))),
% 53.93/34.12 inference(rewrite,[status(thm)],[])).
% 53.93/34.12 tff(12059,plain,
% 53.93/34.12 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB51) | v130(constB51, 0) | (~v127(constB51, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB51, 0)) | v26(constB51) | v130(constB51, 0)))),
% 53.93/34.12 inference(monotonicity,[status(thm)],[12058])).
% 53.93/34.12 tff(12060,plain,
% 53.93/34.12 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB51) | v130(constB51, 0) | (~v127(constB51, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB51, 0)) | v26(constB51) | v130(constB51, 0))),
% 53.93/34.12 inference(transitivity,[status(thm)],[12059, 12057])).
% 53.93/34.12 tff(12061,plain,
% 53.93/34.12 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB51) | v130(constB51, 0) | (~v127(constB51, 0)))),
% 53.93/34.12 inference(quant_inst,[status(thm)],[])).
% 53.93/34.12 tff(12062,plain,
% 53.93/34.12 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB51, 0)) | v26(constB51) | v130(constB51, 0)),
% 53.93/34.12 inference(modus_ponens,[status(thm)],[12061, 12060])).
% 53.93/34.12 tff(12063,plain,
% 53.93/34.12 ((~v127(constB51, 0)) | v130(constB51, 0)),
% 53.93/34.12 inference(unit_resolution,[status(thm)],[12062, 1671, 11923])).
% 53.93/34.12 tff(12064,plain,
% 53.93/34.12 (~v127(constB51, 0)),
% 53.93/34.12 inference(unit_resolution,[status(thm)],[12063, 12056])).
% 53.93/34.12 tff(12065,plain,
% 53.93/34.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB51, constB52)) | v127(constB51, 0) | (~v129(constB52, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB51, constB52)) | v127(constB51, 0) | (~v129(constB52, 0)))),
% 53.93/34.12 inference(rewrite,[status(thm)],[])).
% 53.93/34.12 tff(12066,plain,
% 53.93/34.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB51, constB52)) | v127(constB51, 0) | (~v129(constB52, 0)))),
% 53.93/34.12 inference(quant_inst,[status(thm)],[])).
% 53.93/34.12 tff(12067,plain,
% 53.93/34.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB51, constB52)) | v127(constB51, 0) | (~v129(constB52, 0))),
% 53.93/34.12 inference(modus_ponens,[status(thm)],[12066, 12065])).
% 53.93/34.12 tff(12068,plain,
% 53.93/34.12 (v127(constB51, 0) | (~v129(constB52, 0))),
% 53.93/34.12 inference(unit_resolution,[status(thm)],[12067, 1689, 11941])).
% 53.93/34.12 tff(12069,plain,
% 53.93/34.12 (~v129(constB52, 0)),
% 53.93/34.12 inference(unit_resolution,[status(thm)],[12068, 12064])).
% 53.93/34.12 tff(12070,plain,
% 53.93/34.12 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB52, 0)) | v129(constB52, 0) | (~v100(constB52)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB52, 0)) | v129(constB52, 0) | (~v100(constB52)))),
% 53.93/34.12 inference(rewrite,[status(thm)],[])).
% 53.93/34.12 tff(12071,plain,
% 53.93/34.12 (((~v90(constB52, 0)) | (~v100(constB52)) | v129(constB52, 0)) <=> ((~v90(constB52, 0)) | v129(constB52, 0) | (~v100(constB52)))),
% 53.93/34.12 inference(rewrite,[status(thm)],[])).
% 53.93/34.12 tff(12072,plain,
% 53.93/34.12 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB52, 0)) | (~v100(constB52)) | v129(constB52, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB52, 0)) | v129(constB52, 0) | (~v100(constB52))))),
% 53.93/34.12 inference(monotonicity,[status(thm)],[12071])).
% 53.93/34.12 tff(12073,plain,
% 53.93/34.12 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB52, 0)) | (~v100(constB52)) | v129(constB52, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB52, 0)) | v129(constB52, 0) | (~v100(constB52)))),
% 53.93/34.12 inference(transitivity,[status(thm)],[12072, 12070])).
% 53.93/34.12 tff(12074,plain,
% 53.93/34.12 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB52, 0)) | (~v100(constB52)) | v129(constB52, 0))),
% 53.93/34.12 inference(quant_inst,[status(thm)],[])).
% 53.93/34.12 tff(12075,plain,
% 53.93/34.12 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB52, 0)) | v129(constB52, 0) | (~v100(constB52))),
% 53.93/34.12 inference(modus_ponens,[status(thm)],[12074, 12073])).
% 53.93/34.12 tff(12076,plain,
% 53.93/34.12 ((~v90(constB52, 0)) | (~v100(constB52))),
% 53.93/34.12 inference(unit_resolution,[status(thm)],[12075, 1704, 12069])).
% 53.93/34.12 tff(12077,plain,
% 53.93/34.12 (~v90(constB52, 0)),
% 53.93/34.12 inference(unit_resolution,[status(thm)],[12076, 11972])).
% 53.93/34.12 tff(12078,plain,
% 53.93/34.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB52, 0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB52, 0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, 0)))),
% 53.93/34.12 inference(rewrite,[status(thm)],[])).
% 53.93/34.12 tff(12079,plain,
% 53.93/34.12 (((~nextState(constB52, constB53)) | v90(constB52, 0) | v100(constB53) | (~v90(constB53, 0))) <=> (v90(constB52, 0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, 0)))),
% 53.93/34.12 inference(rewrite,[status(thm)],[])).
% 53.93/34.12 tff(12080,plain,
% 53.93/34.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB52, constB53)) | v90(constB52, 0) | v100(constB53) | (~v90(constB53, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB52, 0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, 0))))),
% 53.93/34.12 inference(monotonicity,[status(thm)],[12079])).
% 53.93/34.12 tff(12081,plain,
% 53.93/34.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB52, constB53)) | v90(constB52, 0) | v100(constB53) | (~v90(constB53, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB52, 0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, 0)))),
% 53.93/34.12 inference(transitivity,[status(thm)],[12080, 12078])).
% 53.93/34.12 tff(12082,plain,
% 53.93/34.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB52, constB53)) | v90(constB52, 0) | v100(constB53) | (~v90(constB53, 0)))),
% 53.93/34.12 inference(quant_inst,[status(thm)],[])).
% 53.93/34.12 tff(12083,plain,
% 53.93/34.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB52, 0) | (~nextState(constB52, constB53)) | v100(constB53) | (~v90(constB53, 0))),
% 53.93/34.12 inference(modus_ponens,[status(thm)],[12082, 12081])).
% 53.93/34.12 tff(12084,plain,
% 53.93/34.12 (v90(constB52, 0) | v100(constB53) | (~v90(constB53, 0))),
% 53.93/34.12 inference(unit_resolution,[status(thm)],[12083, 947, 12000])).
% 53.93/34.12 tff(12085,plain,
% 53.93/34.12 (v90(constB52, 0) | (~v90(constB53, 0))),
% 53.93/34.12 inference(unit_resolution,[status(thm)],[12084, 12012])).
% 53.93/34.12 tff(12086,plain,
% 53.93/34.12 (~v90(constB53, 0)),
% 53.93/34.12 inference(unit_resolution,[status(thm)],[12085, 12077])).
% 53.93/34.12 tff(12087,plain,
% 53.93/34.12 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB53, 0) | (~v90(constB53, 1)) | v90(constB53, 2) | v121(constB53))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB53, 0) | (~v90(constB53, 1)) | v90(constB53, 2) | v121(constB53))),
% 53.93/34.12 inference(rewrite,[status(thm)],[])).
% 53.93/34.12 tff(12088,plain,
% 53.93/34.12 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB53, 0) | (~v90(constB53, 1)) | v90(constB53, 2) | v121(constB53))),
% 53.93/34.12 inference(quant_inst,[status(thm)],[])).
% 53.93/34.12 tff(12089,plain,
% 53.93/34.12 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB53, 0) | (~v90(constB53, 1)) | v90(constB53, 2) | v121(constB53)),
% 53.93/34.12 inference(modus_ponens,[status(thm)],[12088, 12087])).
% 53.93/34.12 tff(12090,plain,
% 53.93/34.12 (v121(constB53)),
% 53.93/34.12 inference(unit_resolution,[status(thm)],[12089, 1731, 12086, 12052, 12021])).
% 53.93/34.12 tff(12091,plain,
% 53.93/34.12 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB53)) | v117(constB53))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB53)) | v117(constB53))),
% 53.93/34.12 inference(rewrite,[status(thm)],[])).
% 53.93/34.12 tff(12092,plain,
% 53.93/34.12 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB53)) | v117(constB53))),
% 53.93/34.12 inference(quant_inst,[status(thm)],[])).
% 53.93/34.12 tff(12093,plain,
% 53.93/34.12 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB53)) | v117(constB53)),
% 53.93/34.12 inference(modus_ponens,[status(thm)],[12092, 12091])).
% 53.93/34.12 tff(12094,plain,
% 53.93/34.12 (v117(constB53)),
% 53.93/34.12 inference(unit_resolution,[status(thm)],[12093, 1742, 12090])).
% 53.93/34.12 tff(12095,plain,
% 53.93/34.12 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB53) | (~v117(constB53)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB53) | (~v117(constB53)))),
% 53.93/34.12 inference(rewrite,[status(thm)],[])).
% 53.93/34.12 tff(12096,plain,
% 53.93/34.12 (((~v117(constB53)) | v116(constB53)) <=> (v116(constB53) | (~v117(constB53)))),
% 53.93/34.12 inference(rewrite,[status(thm)],[])).
% 53.93/34.12 tff(12097,plain,
% 53.93/34.12 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB53)) | v116(constB53))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB53) | (~v117(constB53))))),
% 53.93/34.12 inference(monotonicity,[status(thm)],[12096])).
% 53.93/34.12 tff(12098,plain,
% 53.93/34.12 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB53)) | v116(constB53))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB53) | (~v117(constB53)))),
% 53.93/34.12 inference(transitivity,[status(thm)],[12097, 12095])).
% 53.93/34.12 tff(12099,plain,
% 53.93/34.12 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB53)) | v116(constB53))),
% 53.93/34.12 inference(quant_inst,[status(thm)],[])).
% 53.93/34.12 tff(12100,plain,
% 53.93/34.12 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB53) | (~v117(constB53))),
% 53.93/34.12 inference(modus_ponens,[status(thm)],[12099, 12098])).
% 53.93/34.12 tff(12101,plain,
% 53.93/34.12 (v116(constB53)),
% 53.93/34.12 inference(unit_resolution,[status(thm)],[12100, 1007, 12094])).
% 53.93/34.12 tff(12102,plain,
% 53.93/34.12 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB53) | (~v116(constB53)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB53) | (~v116(constB53)))),
% 53.93/34.12 inference(rewrite,[status(thm)],[])).
% 53.93/34.12 tff(12103,plain,
% 53.93/34.12 (((~v116(constB53)) | v115(constB53)) <=> (v115(constB53) | (~v116(constB53)))),
% 53.93/34.12 inference(rewrite,[status(thm)],[])).
% 53.93/34.12 tff(12104,plain,
% 53.93/34.12 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB53)) | v115(constB53))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB53) | (~v116(constB53))))),
% 53.93/34.12 inference(monotonicity,[status(thm)],[12103])).
% 53.93/34.12 tff(12105,plain,
% 53.93/34.12 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB53)) | v115(constB53))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB53) | (~v116(constB53)))),
% 53.93/34.12 inference(transitivity,[status(thm)],[12104, 12102])).
% 53.93/34.12 tff(12106,plain,
% 53.93/34.12 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB53)) | v115(constB53))),
% 53.93/34.12 inference(quant_inst,[status(thm)],[])).
% 53.93/34.12 tff(12107,plain,
% 53.93/34.12 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB53) | (~v116(constB53))),
% 53.93/34.12 inference(modus_ponens,[status(thm)],[12106, 12105])).
% 53.93/34.12 tff(12108,plain,
% 53.93/34.12 (v115(constB53)),
% 53.93/34.12 inference(unit_resolution,[status(thm)],[12107, 1021, 12101])).
% 53.93/34.12 tff(12109,plain,
% 53.93/34.12 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB53) | (~v115(constB53)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB53) | (~v115(constB53)))),
% 53.93/34.12 inference(rewrite,[status(thm)],[])).
% 53.93/34.12 tff(12110,plain,
% 53.93/34.12 (((~v115(constB53)) | v114(constB53)) <=> (v114(constB53) | (~v115(constB53)))),
% 53.93/34.12 inference(rewrite,[status(thm)],[])).
% 53.93/34.12 tff(12111,plain,
% 53.93/34.12 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB53)) | v114(constB53))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB53) | (~v115(constB53))))),
% 53.93/34.12 inference(monotonicity,[status(thm)],[12110])).
% 53.93/34.12 tff(12112,plain,
% 53.93/34.12 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB53)) | v114(constB53))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB53) | (~v115(constB53)))),
% 53.93/34.12 inference(transitivity,[status(thm)],[12111, 12109])).
% 53.93/34.12 tff(12113,plain,
% 53.93/34.12 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB53)) | v114(constB53))),
% 53.93/34.12 inference(quant_inst,[status(thm)],[])).
% 53.93/34.12 tff(12114,plain,
% 53.93/34.12 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB53) | (~v115(constB53))),
% 53.93/34.12 inference(modus_ponens,[status(thm)],[12113, 12112])).
% 53.93/34.12 tff(12115,plain,
% 53.93/34.12 (v114(constB53)),
% 53.93/34.12 inference(unit_resolution,[status(thm)],[12114, 1035, 12108])).
% 53.93/34.12 tff(12116,plain,
% 53.93/34.12 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB53) | (~v114(constB53)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB53) | (~v114(constB53)))),
% 53.93/34.12 inference(rewrite,[status(thm)],[])).
% 53.93/34.12 tff(12117,plain,
% 53.93/34.12 (((~v114(constB53)) | v113(constB53)) <=> (v113(constB53) | (~v114(constB53)))),
% 53.93/34.12 inference(rewrite,[status(thm)],[])).
% 53.93/34.12 tff(12118,plain,
% 53.93/34.12 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB53)) | v113(constB53))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB53) | (~v114(constB53))))),
% 53.93/34.12 inference(monotonicity,[status(thm)],[12117])).
% 53.93/34.12 tff(12119,plain,
% 53.93/34.12 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB53)) | v113(constB53))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB53) | (~v114(constB53)))),
% 53.93/34.12 inference(transitivity,[status(thm)],[12118, 12116])).
% 53.93/34.12 tff(12120,plain,
% 53.93/34.12 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB53)) | v113(constB53))),
% 53.93/34.12 inference(quant_inst,[status(thm)],[])).
% 53.93/34.12 tff(12121,plain,
% 53.93/34.12 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB53) | (~v114(constB53))),
% 53.93/34.12 inference(modus_ponens,[status(thm)],[12120, 12119])).
% 53.93/34.12 tff(12122,plain,
% 53.93/34.12 (v113(constB53)),
% 53.93/34.12 inference(unit_resolution,[status(thm)],[12121, 1049, 12115])).
% 53.93/34.12 tff(12123,assumption,(v26(constB53)), introduced(assumption)).
% 53.93/34.12 tff(12124,plain,
% 53.93/34.12 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB53))),
% 53.93/34.12 inference(quant_inst,[status(thm)],[])).
% 53.93/34.12 tff(12125,plain,
% 53.93/34.12 ($false),
% 53.93/34.12 inference(unit_resolution,[status(thm)],[12124, 828, 12123])).
% 53.93/34.12 tff(12126,plain,(~v26(constB53)), inference(lemma,lemma(discharge,[]))).
% 53.93/34.12 tff(12127,plain,
% 53.93/34.12 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB53) | v112(constB53) | (~v113(constB53)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB53) | v112(constB53) | (~v113(constB53)))),
% 53.93/34.12 inference(rewrite,[status(thm)],[])).
% 53.93/34.12 tff(12128,plain,
% 53.93/34.12 ((v26(constB53) | (~v113(constB53)) | v112(constB53)) <=> (v26(constB53) | v112(constB53) | (~v113(constB53)))),
% 53.93/34.12 inference(rewrite,[status(thm)],[])).
% 53.93/34.12 tff(12129,plain,
% 53.93/34.12 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB53) | (~v113(constB53)) | v112(constB53))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB53) | v112(constB53) | (~v113(constB53))))),
% 53.93/34.12 inference(monotonicity,[status(thm)],[12128])).
% 53.93/34.12 tff(12130,plain,
% 53.93/34.12 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB53) | (~v113(constB53)) | v112(constB53))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB53) | v112(constB53) | (~v113(constB53)))),
% 53.93/34.12 inference(transitivity,[status(thm)],[12129, 12127])).
% 53.93/34.12 tff(12131,plain,
% 53.93/34.12 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB53) | (~v113(constB53)) | v112(constB53))),
% 53.93/34.12 inference(quant_inst,[status(thm)],[])).
% 53.93/34.12 tff(12132,plain,
% 53.93/34.12 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB53) | v112(constB53) | (~v113(constB53))),
% 53.93/34.12 inference(modus_ponens,[status(thm)],[12131, 12130])).
% 53.93/34.12 tff(12133,plain,
% 53.93/34.12 (v112(constB53) | (~v113(constB53))),
% 53.93/34.12 inference(unit_resolution,[status(thm)],[12132, 1063, 12126])).
% 53.93/34.12 tff(12134,plain,
% 53.93/34.12 (v112(constB53)),
% 53.93/34.12 inference(unit_resolution,[status(thm)],[12133, 12122])).
% 53.93/34.12 tff(12135,plain,
% 53.93/34.12 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB53) | (~v112(constB53)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB53) | (~v112(constB53)))),
% 53.93/34.12 inference(rewrite,[status(thm)],[])).
% 53.93/34.12 tff(12136,plain,
% 53.93/34.12 (((~v112(constB53)) | v108(constB53)) <=> (v108(constB53) | (~v112(constB53)))),
% 53.93/34.12 inference(rewrite,[status(thm)],[])).
% 53.93/34.12 tff(12137,plain,
% 53.93/34.12 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB53)) | v108(constB53))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB53) | (~v112(constB53))))),
% 53.93/34.12 inference(monotonicity,[status(thm)],[12136])).
% 53.93/34.12 tff(12138,plain,
% 53.93/34.12 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB53)) | v108(constB53))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB53) | (~v112(constB53)))),
% 53.93/34.12 inference(transitivity,[status(thm)],[12137, 12135])).
% 53.93/34.12 tff(12139,plain,
% 53.93/34.12 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB53)) | v108(constB53))),
% 53.93/34.12 inference(quant_inst,[status(thm)],[])).
% 53.93/34.12 tff(12140,plain,
% 53.93/34.12 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB53) | (~v112(constB53))),
% 53.93/34.12 inference(modus_ponens,[status(thm)],[12139, 12138])).
% 53.93/34.12 tff(12141,plain,
% 53.93/34.12 (v108(constB53)),
% 53.93/34.12 inference(unit_resolution,[status(thm)],[12140, 1075, 12134])).
% 53.93/34.12 tff(12142,plain,
% 53.93/34.12 (nextState(constB53, constB54) <=> nextState(constB53, constB54)),
% 53.93/34.12 inference(rewrite,[status(thm)],[])).
% 53.93/34.12 tff(12143,axiom,(nextState(constB53, constB54)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_53_1')).
% 53.93/34.12 tff(12144,plain,
% 53.93/34.12 (nextState(constB53, constB54)),
% 53.93/34.12 inference(modus_ponens,[status(thm)],[12143, 12142])).
% 53.93/34.12 tff(12145,plain,
% 53.93/34.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53)))),
% 53.93/34.12 inference(rewrite,[status(thm)],[])).
% 53.93/34.12 tff(12146,plain,
% 53.93/34.12 (((~nextState(constB53, constB54)) | (~v108(constB53)) | v110(constB54)) <=> ((~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53)))),
% 53.93/34.13 inference(rewrite,[status(thm)],[])).
% 53.93/34.13 tff(12147,plain,
% 53.93/34.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB53, constB54)) | (~v108(constB53)) | v110(constB54))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53))))),
% 53.93/34.13 inference(monotonicity,[status(thm)],[12146])).
% 53.93/34.13 tff(12148,plain,
% 53.93/34.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB53, constB54)) | (~v108(constB53)) | v110(constB54))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53)))),
% 53.93/34.13 inference(transitivity,[status(thm)],[12147, 12145])).
% 53.93/34.13 tff(12149,plain,
% 53.93/34.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB53, constB54)) | (~v108(constB53)) | v110(constB54))),
% 53.93/34.13 inference(quant_inst,[status(thm)],[])).
% 53.93/34.13 tff(12150,plain,
% 53.93/34.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB53, constB54)) | v110(constB54) | (~v108(constB53))),
% 53.93/34.13 inference(modus_ponens,[status(thm)],[12149, 12148])).
% 53.93/34.13 tff(12151,plain,
% 53.93/34.13 (v110(constB54) | (~v108(constB53))),
% 53.93/34.13 inference(unit_resolution,[status(thm)],[12150, 1095, 12144])).
% 53.93/34.13 tff(12152,plain,
% 53.93/34.13 (v110(constB54)),
% 53.93/34.13 inference(unit_resolution,[status(thm)],[12151, 12141])).
% 53.93/34.13 tff(12153,plain,
% 53.93/34.13 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB53) | (~nextState(constB53, constB54)) | (~v104(constB54)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB53) | (~nextState(constB53, constB54)) | (~v104(constB54)))),
% 53.93/34.13 inference(rewrite,[status(thm)],[])).
% 53.93/34.13 tff(12154,plain,
% 53.93/34.13 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB53) | (~nextState(constB53, constB54)) | (~v104(constB54)))),
% 53.93/34.13 inference(quant_inst,[status(thm)],[])).
% 53.93/34.13 tff(12155,plain,
% 53.93/34.13 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB53) | (~nextState(constB53, constB54)) | (~v104(constB54))),
% 53.93/34.13 inference(modus_ponens,[status(thm)],[12154, 12153])).
% 53.93/34.13 tff(12156,plain,
% 53.93/34.13 (~v104(constB54)),
% 53.93/34.13 inference(unit_resolution,[status(thm)],[12155, 1113, 12144, 11997])).
% 53.93/34.13 tff(12157,plain,
% 53.93/34.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB53, constB54)) | v102(constB54) | v104(constB54))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB53, constB54)) | v102(constB54) | v104(constB54))),
% 53.93/34.13 inference(rewrite,[status(thm)],[])).
% 53.93/34.13 tff(12158,plain,
% 53.93/34.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB53, constB54)) | v102(constB54) | v104(constB54))),
% 53.93/34.13 inference(quant_inst,[status(thm)],[])).
% 53.93/34.13 tff(12159,plain,
% 53.93/34.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB53, constB54)) | v102(constB54) | v104(constB54)),
% 53.93/34.13 inference(modus_ponens,[status(thm)],[12158, 12157])).
% 53.93/34.13 tff(12160,plain,
% 53.93/34.13 (v102(constB54) | v104(constB54)),
% 53.93/34.13 inference(unit_resolution,[status(thm)],[12159, 1127, 12144])).
% 53.93/34.13 tff(12161,plain,
% 53.93/34.13 (v102(constB54)),
% 53.93/34.13 inference(unit_resolution,[status(thm)],[12160, 12156])).
% 53.93/34.13 tff(12162,plain,
% 53.93/34.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB53, constB54)) | v101(constB54) | (~v102(constB54)) | (~v1(constB54)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB53, constB54)) | v101(constB54) | (~v102(constB54)) | (~v1(constB54)))),
% 53.93/34.13 inference(rewrite,[status(thm)],[])).
% 53.93/34.13 tff(12163,plain,
% 53.93/34.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB53, constB54)) | v101(constB54) | (~v102(constB54)) | (~v1(constB54)))),
% 53.93/34.13 inference(quant_inst,[status(thm)],[])).
% 53.93/34.13 tff(12164,plain,
% 53.93/34.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB53, constB54)) | v101(constB54) | (~v102(constB54)) | (~v1(constB54))),
% 53.93/34.13 inference(modus_ponens,[status(thm)],[12163, 12162])).
% 53.93/34.13 tff(12165,plain,
% 53.93/34.13 (v101(constB54) | (~v102(constB54))),
% 53.93/34.13 inference(unit_resolution,[status(thm)],[12164, 1145, 12144, 255])).
% 53.93/34.13 tff(12166,plain,
% 53.93/34.13 (v101(constB54)),
% 53.93/34.13 inference(unit_resolution,[status(thm)],[12165, 12161])).
% 53.93/34.13 tff(12167,plain,
% 53.93/34.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54)))),
% 53.93/34.13 inference(rewrite,[status(thm)],[])).
% 53.93/34.13 tff(12168,plain,
% 53.93/34.13 (((~nextState(constB53, constB54)) | (~v101(constB54)) | (~v110(constB54)) | v100(constB54)) <=> ((~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54)))),
% 53.93/34.13 inference(rewrite,[status(thm)],[])).
% 53.93/34.13 tff(12169,plain,
% 53.93/34.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB53, constB54)) | (~v101(constB54)) | (~v110(constB54)) | v100(constB54))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54))))),
% 53.93/34.13 inference(monotonicity,[status(thm)],[12168])).
% 53.93/34.13 tff(12170,plain,
% 53.93/34.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB53, constB54)) | (~v101(constB54)) | (~v110(constB54)) | v100(constB54))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54)))),
% 53.93/34.13 inference(transitivity,[status(thm)],[12169, 12167])).
% 53.93/34.13 tff(12171,plain,
% 53.93/34.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB53, constB54)) | (~v101(constB54)) | (~v110(constB54)) | v100(constB54))),
% 53.93/34.13 inference(quant_inst,[status(thm)],[])).
% 53.93/34.13 tff(12172,plain,
% 53.93/34.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB53, constB54)) | v100(constB54) | (~v101(constB54)) | (~v110(constB54))),
% 53.93/34.13 inference(modus_ponens,[status(thm)],[12171, 12170])).
% 53.93/34.13 tff(12173,plain,
% 53.93/34.13 (v100(constB54) | (~v101(constB54)) | (~v110(constB54))),
% 53.93/34.13 inference(unit_resolution,[status(thm)],[12172, 1160, 12144])).
% 53.93/34.13 tff(12174,plain,
% 53.93/34.13 (v100(constB54) | (~v110(constB54))),
% 53.93/34.13 inference(unit_resolution,[status(thm)],[12173, 12166])).
% 53.93/34.13 tff(12175,plain,
% 53.93/34.13 (v100(constB54)),
% 53.93/34.13 inference(unit_resolution,[status(thm)],[12174, 12152])).
% 53.93/34.13 tff(12176,plain,
% 53.93/34.13 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB53)) | (~v130(constB53, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB53)) | (~v130(constB53, 2)))),
% 53.93/34.13 inference(rewrite,[status(thm)],[])).
% 53.93/34.13 tff(12177,plain,
% 53.93/34.13 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB53)) | (~v130(constB53, 2)))),
% 53.93/34.13 inference(quant_inst,[status(thm)],[])).
% 53.93/34.13 tff(12178,plain,
% 53.93/34.13 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB53)) | (~v130(constB53, 2))),
% 53.93/34.13 inference(modus_ponens,[status(thm)],[12177, 12176])).
% 53.93/34.13 tff(12179,plain,
% 53.93/34.13 (~v130(constB53, 2)),
% 53.93/34.13 inference(unit_resolution,[status(thm)],[12178, 1821, 12090])).
% 53.93/34.13 tff(12180,plain,
% 53.93/34.13 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB53, 2)) | v26(constB53) | v130(constB53, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB53, 2)) | v26(constB53) | v130(constB53, 2))),
% 53.93/34.13 inference(rewrite,[status(thm)],[])).
% 53.93/34.13 tff(12181,plain,
% 53.93/34.13 ((v26(constB53) | v130(constB53, 2) | (~v127(constB53, 2))) <=> ((~v127(constB53, 2)) | v26(constB53) | v130(constB53, 2))),
% 53.93/34.13 inference(rewrite,[status(thm)],[])).
% 53.93/34.13 tff(12182,plain,
% 53.93/34.13 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB53) | v130(constB53, 2) | (~v127(constB53, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB53, 2)) | v26(constB53) | v130(constB53, 2)))),
% 53.93/34.13 inference(monotonicity,[status(thm)],[12181])).
% 53.93/34.13 tff(12183,plain,
% 53.93/34.13 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB53) | v130(constB53, 2) | (~v127(constB53, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB53, 2)) | v26(constB53) | v130(constB53, 2))),
% 53.93/34.13 inference(transitivity,[status(thm)],[12182, 12180])).
% 53.93/34.13 tff(12184,plain,
% 53.93/34.13 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB53) | v130(constB53, 2) | (~v127(constB53, 2)))),
% 53.93/34.13 inference(quant_inst,[status(thm)],[])).
% 53.93/34.13 tff(12185,plain,
% 53.93/34.13 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB53, 2)) | v26(constB53) | v130(constB53, 2)),
% 53.93/34.13 inference(modus_ponens,[status(thm)],[12184, 12183])).
% 53.93/34.13 tff(12186,plain,
% 53.93/34.13 ((~v127(constB53, 2)) | v130(constB53, 2)),
% 53.93/34.13 inference(unit_resolution,[status(thm)],[12185, 1190, 12126])).
% 53.93/34.13 tff(12187,plain,
% 53.93/34.13 (~v127(constB53, 2)),
% 53.93/34.13 inference(unit_resolution,[status(thm)],[12186, 12179])).
% 53.93/34.13 tff(12188,plain,
% 53.93/34.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB53, constB54)) | v127(constB53, 2) | (~v129(constB54, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB53, constB54)) | v127(constB53, 2) | (~v129(constB54, 2)))),
% 53.93/34.13 inference(rewrite,[status(thm)],[])).
% 53.93/34.13 tff(12189,plain,
% 53.93/34.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB53, constB54)) | v127(constB53, 2) | (~v129(constB54, 2)))),
% 53.93/34.13 inference(quant_inst,[status(thm)],[])).
% 53.93/34.13 tff(12190,plain,
% 53.93/34.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB53, constB54)) | v127(constB53, 2) | (~v129(constB54, 2))),
% 53.93/34.13 inference(modus_ponens,[status(thm)],[12189, 12188])).
% 53.93/34.13 tff(12191,plain,
% 53.93/34.13 (v127(constB53, 2) | (~v129(constB54, 2))),
% 53.93/34.13 inference(unit_resolution,[status(thm)],[12190, 1208, 12144])).
% 53.93/34.13 tff(12192,plain,
% 53.93/34.13 (~v129(constB54, 2)),
% 53.93/34.13 inference(unit_resolution,[status(thm)],[12191, 12187])).
% 53.93/34.13 tff(12193,plain,
% 53.93/34.13 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB54, 2)) | v129(constB54, 2) | (~v100(constB54)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB54, 2)) | v129(constB54, 2) | (~v100(constB54)))),
% 53.93/34.13 inference(rewrite,[status(thm)],[])).
% 53.93/34.13 tff(12194,plain,
% 53.93/34.13 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB54, 2)) | v129(constB54, 2) | (~v100(constB54)))),
% 53.93/34.13 inference(quant_inst,[status(thm)],[])).
% 53.93/34.13 tff(12195,plain,
% 53.93/34.13 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB54, 2)) | v129(constB54, 2) | (~v100(constB54))),
% 53.93/34.13 inference(modus_ponens,[status(thm)],[12194, 12193])).
% 53.93/34.13 tff(12196,plain,
% 53.93/34.13 ((~v90(constB54, 2)) | (~v100(constB54))),
% 53.93/34.13 inference(unit_resolution,[status(thm)],[12195, 1223, 12192])).
% 53.93/34.13 tff(12197,plain,
% 53.93/34.13 (~v90(constB54, 2)),
% 53.93/34.13 inference(unit_resolution,[status(thm)],[12196, 12175])).
% 53.93/34.13 tff(12198,plain,
% 53.93/34.13 ((~v1(constB55)) <=> (~v1(constB55))),
% 53.93/34.13 inference(rewrite,[status(thm)],[])).
% 53.93/34.13 tff(12199,axiom,(~v1(constB55)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_55_1_1')).
% 53.93/34.13 tff(12200,plain,
% 53.93/34.13 (~v1(constB55)),
% 53.93/34.13 inference(modus_ponens,[status(thm)],[12199, 12198])).
% 53.93/34.13 tff(12201,plain,
% 53.93/34.13 (nextState(constB54, constB55) <=> nextState(constB54, constB55)),
% 53.93/34.13 inference(rewrite,[status(thm)],[])).
% 53.93/34.13 tff(12202,axiom,(nextState(constB54, constB55)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_54_1')).
% 53.93/34.13 tff(12203,plain,
% 53.93/34.13 (nextState(constB54, constB55)),
% 53.93/34.13 inference(modus_ponens,[status(thm)],[12202, 12201])).
% 53.93/34.13 tff(12204,plain,
% 53.93/34.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55)))),
% 53.93/34.13 inference(rewrite,[status(thm)],[])).
% 53.93/34.13 tff(12205,plain,
% 53.93/34.13 (((~nextState(constB54, constB55)) | (~v101(constB55)) | v1(constB55)) <=> (v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55)))),
% 53.93/34.13 inference(rewrite,[status(thm)],[])).
% 53.93/34.13 tff(12206,plain,
% 53.93/34.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB54, constB55)) | (~v101(constB55)) | v1(constB55))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55))))),
% 53.93/34.13 inference(monotonicity,[status(thm)],[12205])).
% 53.93/34.13 tff(12207,plain,
% 53.93/34.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB54, constB55)) | (~v101(constB55)) | v1(constB55))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55)))),
% 53.93/34.13 inference(transitivity,[status(thm)],[12206, 12204])).
% 53.93/34.13 tff(12208,plain,
% 53.93/34.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB54, constB55)) | (~v101(constB55)) | v1(constB55))),
% 53.93/34.13 inference(quant_inst,[status(thm)],[])).
% 53.93/34.13 tff(12209,plain,
% 53.93/34.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB55) | (~nextState(constB54, constB55)) | (~v101(constB55))),
% 53.93/34.13 inference(modus_ponens,[status(thm)],[12208, 12207])).
% 53.93/34.13 tff(12210,plain,
% 53.93/34.13 (~v101(constB55)),
% 53.93/34.13 inference(unit_resolution,[status(thm)],[12209, 873, 12203, 12200])).
% 53.93/34.13 tff(12211,plain,
% 53.93/34.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB54, constB55)) | v101(constB55) | (~v100(constB55)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB54, constB55)) | v101(constB55) | (~v100(constB55)))),
% 53.93/34.13 inference(rewrite,[status(thm)],[])).
% 53.93/34.13 tff(12212,plain,
% 53.93/34.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB54, constB55)) | v101(constB55) | (~v100(constB55)))),
% 53.93/34.13 inference(quant_inst,[status(thm)],[])).
% 53.93/34.13 tff(12213,plain,
% 53.93/34.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB54, constB55)) | v101(constB55) | (~v100(constB55))),
% 53.93/34.13 inference(modus_ponens,[status(thm)],[12212, 12211])).
% 53.93/34.13 tff(12214,plain,
% 53.93/34.13 (v101(constB55) | (~v100(constB55))),
% 53.93/34.13 inference(unit_resolution,[status(thm)],[12213, 890, 12203])).
% 53.93/34.13 tff(12215,plain,
% 53.93/34.13 (~v100(constB55)),
% 53.93/34.13 inference(unit_resolution,[status(thm)],[12214, 12210])).
% 53.93/34.13 tff(12216,plain,
% 53.93/34.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB54, 2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB54, 2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, 2)))),
% 53.93/34.13 inference(rewrite,[status(thm)],[])).
% 53.93/34.13 tff(12217,plain,
% 53.93/34.13 (((~nextState(constB54, constB55)) | v90(constB54, 2) | v100(constB55) | (~v90(constB55, 2))) <=> (v90(constB54, 2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, 2)))),
% 53.93/34.13 inference(rewrite,[status(thm)],[])).
% 53.93/34.13 tff(12218,plain,
% 53.93/34.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB54, constB55)) | v90(constB54, 2) | v100(constB55) | (~v90(constB55, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB54, 2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, 2))))),
% 53.93/34.13 inference(monotonicity,[status(thm)],[12217])).
% 53.93/34.13 tff(12219,plain,
% 53.93/34.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB54, constB55)) | v90(constB54, 2) | v100(constB55) | (~v90(constB55, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB54, 2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, 2)))),
% 53.93/34.13 inference(transitivity,[status(thm)],[12218, 12216])).
% 53.93/34.13 tff(12220,plain,
% 53.93/34.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB54, constB55)) | v90(constB54, 2) | v100(constB55) | (~v90(constB55, 2)))),
% 53.93/34.13 inference(quant_inst,[status(thm)],[])).
% 53.93/34.13 tff(12221,plain,
% 53.93/34.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB54, 2) | (~nextState(constB54, constB55)) | v100(constB55) | (~v90(constB55, 2))),
% 53.93/34.13 inference(modus_ponens,[status(thm)],[12220, 12219])).
% 53.93/34.13 tff(12222,plain,
% 53.93/34.13 (v90(constB54, 2) | v100(constB55) | (~v90(constB55, 2))),
% 53.93/34.13 inference(unit_resolution,[status(thm)],[12221, 905, 12203])).
% 53.93/34.13 tff(12223,plain,
% 53.93/34.13 (v90(constB54, 2) | (~v90(constB55, 2))),
% 53.93/34.13 inference(unit_resolution,[status(thm)],[12222, 12215])).
% 53.93/34.13 tff(12224,plain,
% 53.93/34.13 (~v90(constB55, 2)),
% 53.93/34.13 inference(unit_resolution,[status(thm)],[12223, 12197])).
% 53.93/34.13 tff(12225,plain,
% 53.93/34.13 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB53)) | v130(constB53, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB53)) | v130(constB53, 1))),
% 53.93/34.13 inference(rewrite,[status(thm)],[])).
% 53.93/34.13 tff(12226,plain,
% 53.93/34.13 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB53)) | v130(constB53, 1))),
% 53.93/34.13 inference(quant_inst,[status(thm)],[])).
% 53.93/34.13 tff(12227,plain,
% 53.93/34.13 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB53)) | v130(constB53, 1)),
% 53.93/34.13 inference(modus_ponens,[status(thm)],[12226, 12225])).
% 53.93/34.13 tff(12228,plain,
% 53.93/34.13 (v130(constB53, 1)),
% 53.93/34.13 inference(unit_resolution,[status(thm)],[12227, 1877, 12090])).
% 53.93/34.13 tff(12229,plain,
% 53.93/34.13 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB53) | (~v130(constB53, 1)) | v127(constB53, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB53) | (~v130(constB53, 1)) | v127(constB53, 1))),
% 53.93/34.13 inference(rewrite,[status(thm)],[])).
% 53.93/34.13 tff(12230,plain,
% 53.93/34.13 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB53) | (~v130(constB53, 1)) | v127(constB53, 1))),
% 53.93/34.13 inference(quant_inst,[status(thm)],[])).
% 53.93/34.13 tff(12231,plain,
% 53.93/34.13 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB53) | (~v130(constB53, 1)) | v127(constB53, 1)),
% 53.93/34.13 inference(modus_ponens,[status(thm)],[12230, 12229])).
% 53.93/34.13 tff(12232,plain,
% 53.93/34.13 ((~v130(constB53, 1)) | v127(constB53, 1)),
% 53.93/34.13 inference(unit_resolution,[status(thm)],[12231, 1593, 12126])).
% 53.93/34.13 tff(12233,plain,
% 53.93/34.13 (v127(constB53, 1)),
% 53.93/34.13 inference(unit_resolution,[status(thm)],[12232, 12228])).
% 53.93/34.13 tff(12234,plain,
% 53.93/34.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB53, constB54)) | (~v127(constB53, 1)) | v129(constB54, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB53, constB54)) | (~v127(constB53, 1)) | v129(constB54, 1))),
% 53.93/34.13 inference(rewrite,[status(thm)],[])).
% 53.93/34.13 tff(12235,plain,
% 53.93/34.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB53, constB54)) | (~v127(constB53, 1)) | v129(constB54, 1))),
% 53.93/34.13 inference(quant_inst,[status(thm)],[])).
% 53.93/34.13 tff(12236,plain,
% 53.93/34.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB53, constB54)) | (~v127(constB53, 1)) | v129(constB54, 1)),
% 53.93/34.13 inference(modus_ponens,[status(thm)],[12235, 12234])).
% 53.93/34.13 tff(12237,plain,
% 53.93/34.13 ((~v127(constB53, 1)) | v129(constB54, 1)),
% 53.93/34.13 inference(unit_resolution,[status(thm)],[12236, 1608, 12144])).
% 53.93/34.13 tff(12238,plain,
% 53.93/34.13 (v129(constB54, 1)),
% 53.93/34.13 inference(unit_resolution,[status(thm)],[12237, 12233])).
% 53.93/34.13 tff(12239,plain,
% 53.93/34.13 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB54, 1) | (~v129(constB54, 1)) | (~v100(constB54)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB54, 1) | (~v129(constB54, 1)) | (~v100(constB54)))),
% 53.93/34.13 inference(rewrite,[status(thm)],[])).
% 53.93/34.13 tff(12240,plain,
% 53.93/34.13 ((v90(constB54, 1) | (~v100(constB54)) | (~v129(constB54, 1))) <=> (v90(constB54, 1) | (~v129(constB54, 1)) | (~v100(constB54)))),
% 53.93/34.13 inference(rewrite,[status(thm)],[])).
% 53.93/34.13 tff(12241,plain,
% 53.93/34.13 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB54, 1) | (~v100(constB54)) | (~v129(constB54, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB54, 1) | (~v129(constB54, 1)) | (~v100(constB54))))),
% 53.93/34.13 inference(monotonicity,[status(thm)],[12240])).
% 53.93/34.13 tff(12242,plain,
% 53.93/34.13 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB54, 1) | (~v100(constB54)) | (~v129(constB54, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB54, 1) | (~v129(constB54, 1)) | (~v100(constB54)))),
% 53.93/34.13 inference(transitivity,[status(thm)],[12241, 12239])).
% 53.93/34.13 tff(12243,plain,
% 53.93/34.13 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB54, 1) | (~v100(constB54)) | (~v129(constB54, 1)))),
% 53.93/34.13 inference(quant_inst,[status(thm)],[])).
% 53.93/34.13 tff(12244,plain,
% 53.93/34.13 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB54, 1) | (~v129(constB54, 1)) | (~v100(constB54))),
% 53.93/34.13 inference(modus_ponens,[status(thm)],[12243, 12242])).
% 53.93/34.13 tff(12245,plain,
% 53.93/34.13 (v90(constB54, 1) | (~v100(constB54))),
% 53.93/34.13 inference(unit_resolution,[status(thm)],[12244, 1623, 12238])).
% 53.93/34.13 tff(12246,plain,
% 53.93/34.13 (v90(constB54, 1)),
% 53.93/34.13 inference(unit_resolution,[status(thm)],[12245, 12175])).
% 53.93/34.13 tff(12247,plain,
% 53.93/34.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB54, 1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB54, 1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, 1))),
% 53.93/34.13 inference(rewrite,[status(thm)],[])).
% 53.93/34.13 tff(12248,plain,
% 53.93/34.13 (((~nextState(constB54, constB55)) | (~v90(constB54, 1)) | v100(constB55) | v90(constB55, 1)) <=> ((~v90(constB54, 1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, 1))),
% 53.93/34.13 inference(rewrite,[status(thm)],[])).
% 53.93/34.13 tff(12249,plain,
% 53.93/34.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB54, constB55)) | (~v90(constB54, 1)) | v100(constB55) | v90(constB55, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB54, 1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, 1)))),
% 53.93/34.13 inference(monotonicity,[status(thm)],[12248])).
% 53.93/34.13 tff(12250,plain,
% 53.93/34.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB54, constB55)) | (~v90(constB54, 1)) | v100(constB55) | v90(constB55, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB54, 1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, 1))),
% 53.93/34.13 inference(transitivity,[status(thm)],[12249, 12247])).
% 53.93/34.13 tff(12251,plain,
% 53.93/34.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB54, constB55)) | (~v90(constB54, 1)) | v100(constB55) | v90(constB55, 1))),
% 53.93/34.13 inference(quant_inst,[status(thm)],[])).
% 53.93/34.13 tff(12252,plain,
% 53.93/34.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB54, 1)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, 1)),
% 53.93/34.13 inference(modus_ponens,[status(thm)],[12251, 12250])).
% 53.93/34.13 tff(12253,plain,
% 53.93/34.13 ((~v90(constB54, 1)) | v100(constB55) | v90(constB55, 1)),
% 53.93/34.13 inference(unit_resolution,[status(thm)],[12252, 1641, 12203])).
% 53.93/34.13 tff(12254,plain,
% 53.93/34.13 ((~v90(constB54, 1)) | v90(constB55, 1)),
% 53.93/34.13 inference(unit_resolution,[status(thm)],[12253, 12215])).
% 53.93/34.13 tff(12255,plain,
% 53.93/34.13 (v90(constB55, 1)),
% 53.93/34.13 inference(unit_resolution,[status(thm)],[12254, 12246])).
% 53.93/34.13 tff(12256,plain,
% 53.93/34.13 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB53)) | v130(constB53, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB53)) | v130(constB53, 0))),
% 53.93/34.13 inference(rewrite,[status(thm)],[])).
% 53.93/34.13 tff(12257,plain,
% 53.93/34.13 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB53)) | v130(constB53, 0))),
% 53.93/34.13 inference(quant_inst,[status(thm)],[])).
% 53.93/34.13 tff(12258,plain,
% 53.93/34.13 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB53)) | v130(constB53, 0)),
% 53.93/34.13 inference(modus_ponens,[status(thm)],[12257, 12256])).
% 53.93/34.13 tff(12259,plain,
% 53.93/34.13 (v130(constB53, 0)),
% 53.93/34.13 inference(unit_resolution,[status(thm)],[12258, 1915, 12090])).
% 53.93/34.13 tff(12260,plain,
% 53.93/34.13 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB53) | (~v130(constB53, 0)) | v127(constB53, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB53) | (~v130(constB53, 0)) | v127(constB53, 0))),
% 53.93/34.13 inference(rewrite,[status(thm)],[])).
% 53.93/34.13 tff(12261,plain,
% 53.93/34.13 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB53) | (~v130(constB53, 0)) | v127(constB53, 0))),
% 53.93/34.13 inference(quant_inst,[status(thm)],[])).
% 53.93/34.13 tff(12262,plain,
% 53.93/34.13 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB53) | (~v130(constB53, 0)) | v127(constB53, 0)),
% 53.93/34.13 inference(modus_ponens,[status(thm)],[12261, 12260])).
% 53.93/34.13 tff(12263,plain,
% 53.93/34.13 ((~v130(constB53, 0)) | v127(constB53, 0)),
% 53.93/34.13 inference(unit_resolution,[status(thm)],[12262, 1347, 12126])).
% 53.93/34.13 tff(12264,plain,
% 53.93/34.13 (v127(constB53, 0)),
% 53.93/34.13 inference(unit_resolution,[status(thm)],[12263, 12259])).
% 53.93/34.13 tff(12265,plain,
% 53.93/34.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB53, constB54)) | (~v127(constB53, 0)) | v129(constB54, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB53, constB54)) | (~v127(constB53, 0)) | v129(constB54, 0))),
% 53.93/34.13 inference(rewrite,[status(thm)],[])).
% 53.93/34.13 tff(12266,plain,
% 53.93/34.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB53, constB54)) | (~v127(constB53, 0)) | v129(constB54, 0))),
% 53.93/34.13 inference(quant_inst,[status(thm)],[])).
% 53.93/34.13 tff(12267,plain,
% 53.93/34.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB53, constB54)) | (~v127(constB53, 0)) | v129(constB54, 0)),
% 53.93/34.13 inference(modus_ponens,[status(thm)],[12266, 12265])).
% 53.93/34.13 tff(12268,plain,
% 53.93/34.13 ((~v127(constB53, 0)) | v129(constB54, 0)),
% 53.93/34.13 inference(unit_resolution,[status(thm)],[12267, 1362, 12144])).
% 53.93/34.13 tff(12269,plain,
% 53.93/34.13 (v129(constB54, 0)),
% 53.93/34.13 inference(unit_resolution,[status(thm)],[12268, 12264])).
% 53.93/34.13 tff(12270,plain,
% 53.93/34.13 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB54, 0) | (~v129(constB54, 0)) | (~v100(constB54)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB54, 0) | (~v129(constB54, 0)) | (~v100(constB54)))),
% 53.93/34.13 inference(rewrite,[status(thm)],[])).
% 53.93/34.13 tff(12271,plain,
% 53.93/34.13 ((v90(constB54, 0) | (~v100(constB54)) | (~v129(constB54, 0))) <=> (v90(constB54, 0) | (~v129(constB54, 0)) | (~v100(constB54)))),
% 53.93/34.13 inference(rewrite,[status(thm)],[])).
% 53.93/34.13 tff(12272,plain,
% 53.93/34.13 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB54, 0) | (~v100(constB54)) | (~v129(constB54, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB54, 0) | (~v129(constB54, 0)) | (~v100(constB54))))),
% 53.93/34.13 inference(monotonicity,[status(thm)],[12271])).
% 53.93/34.13 tff(12273,plain,
% 53.93/34.13 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB54, 0) | (~v100(constB54)) | (~v129(constB54, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB54, 0) | (~v129(constB54, 0)) | (~v100(constB54)))),
% 53.93/34.13 inference(transitivity,[status(thm)],[12272, 12270])).
% 53.93/34.13 tff(12274,plain,
% 53.93/34.13 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB54, 0) | (~v100(constB54)) | (~v129(constB54, 0)))),
% 53.93/34.13 inference(quant_inst,[status(thm)],[])).
% 53.93/34.13 tff(12275,plain,
% 53.93/34.13 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB54, 0) | (~v129(constB54, 0)) | (~v100(constB54))),
% 53.93/34.13 inference(modus_ponens,[status(thm)],[12274, 12273])).
% 53.93/34.13 tff(12276,plain,
% 53.93/34.13 (v90(constB54, 0) | (~v100(constB54))),
% 53.93/34.13 inference(unit_resolution,[status(thm)],[12275, 1377, 12269])).
% 53.93/34.13 tff(12277,plain,
% 53.93/34.13 (v90(constB54, 0)),
% 53.93/34.13 inference(unit_resolution,[status(thm)],[12276, 12175])).
% 53.93/34.13 tff(12278,plain,
% 53.93/34.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB54, 0)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB54, 0)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, 0))),
% 53.93/34.13 inference(rewrite,[status(thm)],[])).
% 53.93/34.13 tff(12279,plain,
% 53.93/34.13 (((~nextState(constB54, constB55)) | (~v90(constB54, 0)) | v100(constB55) | v90(constB55, 0)) <=> ((~v90(constB54, 0)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, 0))),
% 53.93/34.13 inference(rewrite,[status(thm)],[])).
% 53.93/34.13 tff(12280,plain,
% 53.93/34.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB54, constB55)) | (~v90(constB54, 0)) | v100(constB55) | v90(constB55, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB54, 0)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, 0)))),
% 53.93/34.13 inference(monotonicity,[status(thm)],[12279])).
% 53.93/34.13 tff(12281,plain,
% 53.93/34.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB54, constB55)) | (~v90(constB54, 0)) | v100(constB55) | v90(constB55, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB54, 0)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, 0))),
% 53.93/34.13 inference(transitivity,[status(thm)],[12280, 12278])).
% 53.93/34.13 tff(12282,plain,
% 53.93/34.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB54, constB55)) | (~v90(constB54, 0)) | v100(constB55) | v90(constB55, 0))),
% 53.93/34.13 inference(quant_inst,[status(thm)],[])).
% 53.93/34.13 tff(12283,plain,
% 53.93/34.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB54, 0)) | (~nextState(constB54, constB55)) | v100(constB55) | v90(constB55, 0)),
% 53.93/34.13 inference(modus_ponens,[status(thm)],[12282, 12281])).
% 53.93/34.13 tff(12284,plain,
% 53.93/34.13 ((~v90(constB54, 0)) | v100(constB55) | v90(constB55, 0)),
% 53.93/34.13 inference(unit_resolution,[status(thm)],[12283, 1395, 12203])).
% 53.93/34.13 tff(12285,plain,
% 53.93/34.13 ((~v90(constB54, 0)) | v90(constB55, 0)),
% 53.93/34.13 inference(unit_resolution,[status(thm)],[12284, 12215])).
% 53.93/34.13 tff(12286,plain,
% 53.93/34.13 (v90(constB55, 0)),
% 53.93/34.13 inference(unit_resolution,[status(thm)],[12285, 12277])).
% 53.93/34.13 tff(12287,plain,
% 53.93/34.13 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB55, 0)) | (~v90(constB55, 1)) | v90(constB55, 2) | v122(constB55))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB55, 0)) | (~v90(constB55, 1)) | v90(constB55, 2) | v122(constB55))),
% 53.93/34.13 inference(rewrite,[status(thm)],[])).
% 53.93/34.13 tff(12288,plain,
% 53.93/34.13 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB55, 0)) | (~v90(constB55, 1)) | v90(constB55, 2) | v122(constB55))),
% 53.93/34.13 inference(quant_inst,[status(thm)],[])).
% 53.93/34.13 tff(12289,plain,
% 53.93/34.13 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB55, 0)) | (~v90(constB55, 1)) | v90(constB55, 2) | v122(constB55)),
% 53.93/34.13 inference(modus_ponens,[status(thm)],[12288, 12287])).
% 53.93/34.13 tff(12290,plain,
% 53.93/34.13 (v122(constB55)),
% 53.93/34.13 inference(unit_resolution,[status(thm)],[12289, 1956, 12286, 12255, 12224])).
% 53.93/34.13 tff(12291,plain,
% 53.93/34.13 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB55)) | v116(constB55))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB55)) | v116(constB55))),
% 53.93/34.13 inference(rewrite,[status(thm)],[])).
% 53.93/34.13 tff(12292,plain,
% 53.93/34.13 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB55)) | v116(constB55))),
% 53.93/34.13 inference(quant_inst,[status(thm)],[])).
% 53.93/34.13 tff(12293,plain,
% 53.93/34.13 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB55)) | v116(constB55)),
% 53.93/34.13 inference(modus_ponens,[status(thm)],[12292, 12291])).
% 53.93/34.13 tff(12294,plain,
% 53.93/34.13 (v116(constB55)),
% 53.93/34.13 inference(unit_resolution,[status(thm)],[12293, 2120, 12290])).
% 53.93/34.13 tff(12295,plain,
% 53.93/34.13 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB55)) | v115(constB55))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB55)) | v115(constB55))),
% 53.93/34.13 inference(rewrite,[status(thm)],[])).
% 53.93/34.13 tff(12296,plain,
% 53.93/34.13 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB55)) | v115(constB55))),
% 53.93/34.13 inference(quant_inst,[status(thm)],[])).
% 53.93/34.13 tff(12297,plain,
% 53.93/34.13 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB55)) | v115(constB55)),
% 53.93/34.13 inference(modus_ponens,[status(thm)],[12296, 12295])).
% 53.93/34.13 tff(12298,plain,
% 53.93/34.13 (v115(constB55)),
% 53.93/34.13 inference(unit_resolution,[status(thm)],[12297, 1021, 12294])).
% 53.93/34.13 tff(12299,plain,
% 53.93/34.13 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB55) | (~v115(constB55)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB55) | (~v115(constB55)))),
% 53.93/34.13 inference(rewrite,[status(thm)],[])).
% 53.93/34.13 tff(12300,plain,
% 53.93/34.13 (((~v115(constB55)) | v114(constB55)) <=> (v114(constB55) | (~v115(constB55)))),
% 53.93/34.13 inference(rewrite,[status(thm)],[])).
% 53.93/34.13 tff(12301,plain,
% 53.93/34.13 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB55)) | v114(constB55))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB55) | (~v115(constB55))))),
% 53.93/34.13 inference(monotonicity,[status(thm)],[12300])).
% 53.93/34.13 tff(12302,plain,
% 53.93/34.13 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB55)) | v114(constB55))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB55) | (~v115(constB55)))),
% 53.93/34.13 inference(transitivity,[status(thm)],[12301, 12299])).
% 53.93/34.13 tff(12303,plain,
% 53.93/34.13 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB55)) | v114(constB55))),
% 53.93/34.13 inference(quant_inst,[status(thm)],[])).
% 53.93/34.13 tff(12304,plain,
% 53.93/34.13 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB55) | (~v115(constB55))),
% 53.93/34.13 inference(modus_ponens,[status(thm)],[12303, 12302])).
% 53.93/34.13 tff(12305,plain,
% 53.93/34.13 (v114(constB55)),
% 53.93/34.13 inference(unit_resolution,[status(thm)],[12304, 1035, 12298])).
% 53.93/34.13 tff(12306,plain,
% 53.93/34.13 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB55) | (~v114(constB55)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB55) | (~v114(constB55)))),
% 53.93/34.13 inference(rewrite,[status(thm)],[])).
% 53.93/34.13 tff(12307,plain,
% 53.93/34.13 (((~v114(constB55)) | v113(constB55)) <=> (v113(constB55) | (~v114(constB55)))),
% 53.93/34.13 inference(rewrite,[status(thm)],[])).
% 53.93/34.13 tff(12308,plain,
% 53.93/34.13 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB55)) | v113(constB55))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB55) | (~v114(constB55))))),
% 53.93/34.13 inference(monotonicity,[status(thm)],[12307])).
% 53.93/34.13 tff(12309,plain,
% 53.93/34.13 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB55)) | v113(constB55))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB55) | (~v114(constB55)))),
% 53.93/34.13 inference(transitivity,[status(thm)],[12308, 12306])).
% 53.93/34.13 tff(12310,plain,
% 53.93/34.13 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB55)) | v113(constB55))),
% 53.93/34.13 inference(quant_inst,[status(thm)],[])).
% 53.93/34.13 tff(12311,plain,
% 53.93/34.13 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB55) | (~v114(constB55))),
% 53.93/34.13 inference(modus_ponens,[status(thm)],[12310, 12309])).
% 53.93/34.13 tff(12312,plain,
% 53.93/34.13 (v113(constB55)),
% 53.93/34.13 inference(unit_resolution,[status(thm)],[12311, 1049, 12305])).
% 53.93/34.13 tff(12313,assumption,(v26(constB55)), introduced(assumption)).
% 53.93/34.13 tff(12314,plain,
% 53.93/34.13 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB55))),
% 53.93/34.13 inference(quant_inst,[status(thm)],[])).
% 53.93/34.13 tff(12315,plain,
% 53.93/34.13 ($false),
% 53.93/34.13 inference(unit_resolution,[status(thm)],[12314, 828, 12313])).
% 53.93/34.13 tff(12316,plain,(~v26(constB55)), inference(lemma,lemma(discharge,[]))).
% 53.93/34.13 tff(12317,plain,
% 53.93/34.13 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB55) | (~v113(constB55)) | v112(constB55))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB55) | (~v113(constB55)) | v112(constB55))),
% 53.93/34.13 inference(rewrite,[status(thm)],[])).
% 53.93/34.13 tff(12318,plain,
% 53.93/34.13 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB55) | (~v113(constB55)) | v112(constB55))),
% 53.93/34.13 inference(quant_inst,[status(thm)],[])).
% 53.93/34.13 tff(12319,plain,
% 53.93/34.13 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB55) | (~v113(constB55)) | v112(constB55)),
% 53.93/34.13 inference(modus_ponens,[status(thm)],[12318, 12317])).
% 53.93/34.13 tff(12320,plain,
% 53.93/34.13 ((~v113(constB55)) | v112(constB55)),
% 53.93/34.13 inference(unit_resolution,[status(thm)],[12319, 1063, 12316])).
% 53.93/34.13 tff(12321,plain,
% 53.93/34.13 (v112(constB55)),
% 53.93/34.13 inference(unit_resolution,[status(thm)],[12320, 12312])).
% 53.93/34.13 tff(12322,plain,
% 53.93/34.13 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB55) | (~v112(constB55)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB55) | (~v112(constB55)))),
% 53.93/34.13 inference(rewrite,[status(thm)],[])).
% 53.93/34.13 tff(12323,plain,
% 53.93/34.13 (((~v112(constB55)) | v108(constB55)) <=> (v108(constB55) | (~v112(constB55)))),
% 53.93/34.13 inference(rewrite,[status(thm)],[])).
% 53.93/34.13 tff(12324,plain,
% 53.93/34.13 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB55)) | v108(constB55))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB55) | (~v112(constB55))))),
% 53.93/34.13 inference(monotonicity,[status(thm)],[12323])).
% 53.93/34.13 tff(12325,plain,
% 53.93/34.13 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB55)) | v108(constB55))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB55) | (~v112(constB55)))),
% 53.93/34.13 inference(transitivity,[status(thm)],[12324, 12322])).
% 53.93/34.13 tff(12326,plain,
% 53.93/34.13 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB55)) | v108(constB55))),
% 53.93/34.13 inference(quant_inst,[status(thm)],[])).
% 53.93/34.13 tff(12327,plain,
% 53.93/34.13 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB55) | (~v112(constB55))),
% 53.93/34.13 inference(modus_ponens,[status(thm)],[12326, 12325])).
% 53.93/34.13 tff(12328,plain,
% 53.93/34.13 (v108(constB55)),
% 53.93/34.13 inference(unit_resolution,[status(thm)],[12327, 1075, 12321])).
% 53.93/34.13 tff(12329,plain,
% 53.93/34.13 (nextState(constB55, constB56) <=> nextState(constB55, constB56)),
% 53.93/34.13 inference(rewrite,[status(thm)],[])).
% 53.93/34.13 tff(12330,axiom,(nextState(constB55, constB56)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_55_1')).
% 53.93/34.13 tff(12331,plain,
% 53.93/34.13 (nextState(constB55, constB56)),
% 53.93/34.13 inference(modus_ponens,[status(thm)],[12330, 12329])).
% 53.93/34.13 tff(12332,plain,
% 53.93/34.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55)))),
% 53.93/34.13 inference(rewrite,[status(thm)],[])).
% 53.93/34.13 tff(12333,plain,
% 53.93/34.13 (((~nextState(constB55, constB56)) | (~v108(constB55)) | v110(constB56)) <=> ((~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55)))),
% 53.93/34.13 inference(rewrite,[status(thm)],[])).
% 53.93/34.13 tff(12334,plain,
% 53.93/34.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB55, constB56)) | (~v108(constB55)) | v110(constB56))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55))))),
% 53.93/34.13 inference(monotonicity,[status(thm)],[12333])).
% 53.93/34.13 tff(12335,plain,
% 53.93/34.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB55, constB56)) | (~v108(constB55)) | v110(constB56))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55)))),
% 53.93/34.13 inference(transitivity,[status(thm)],[12334, 12332])).
% 53.93/34.13 tff(12336,plain,
% 53.93/34.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB55, constB56)) | (~v108(constB55)) | v110(constB56))),
% 53.93/34.13 inference(quant_inst,[status(thm)],[])).
% 53.93/34.13 tff(12337,plain,
% 53.93/34.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB55, constB56)) | v110(constB56) | (~v108(constB55))),
% 53.93/34.13 inference(modus_ponens,[status(thm)],[12336, 12335])).
% 53.93/34.13 tff(12338,plain,
% 53.93/34.13 (v110(constB56) | (~v108(constB55))),
% 53.93/34.13 inference(unit_resolution,[status(thm)],[12337, 1095, 12331])).
% 53.93/34.13 tff(12339,plain,
% 53.93/34.13 (v110(constB56)),
% 53.93/34.13 inference(unit_resolution,[status(thm)],[12338, 12328])).
% 53.93/34.13 tff(12340,plain,
% 53.93/34.13 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB55) | (~nextState(constB55, constB56)) | (~v104(constB56)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB55) | (~nextState(constB55, constB56)) | (~v104(constB56)))),
% 53.93/34.13 inference(rewrite,[status(thm)],[])).
% 53.93/34.13 tff(12341,plain,
% 53.93/34.13 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB55) | (~nextState(constB55, constB56)) | (~v104(constB56)))),
% 53.93/34.13 inference(quant_inst,[status(thm)],[])).
% 53.93/34.13 tff(12342,plain,
% 53.93/34.13 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB55) | (~nextState(constB55, constB56)) | (~v104(constB56))),
% 53.93/34.13 inference(modus_ponens,[status(thm)],[12341, 12340])).
% 53.93/34.13 tff(12343,plain,
% 53.93/34.13 (~v104(constB56)),
% 53.93/34.13 inference(unit_resolution,[status(thm)],[12342, 1113, 12331, 12200])).
% 53.93/34.13 tff(12344,plain,
% 53.93/34.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB55, constB56)) | v102(constB56) | v104(constB56))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB55, constB56)) | v102(constB56) | v104(constB56))),
% 53.93/34.13 inference(rewrite,[status(thm)],[])).
% 53.93/34.13 tff(12345,plain,
% 53.93/34.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB55, constB56)) | v102(constB56) | v104(constB56))),
% 53.93/34.13 inference(quant_inst,[status(thm)],[])).
% 53.93/34.14 tff(12346,plain,
% 53.93/34.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB55, constB56)) | v102(constB56) | v104(constB56)),
% 53.93/34.14 inference(modus_ponens,[status(thm)],[12345, 12344])).
% 53.93/34.14 tff(12347,plain,
% 53.93/34.14 (v102(constB56) | v104(constB56)),
% 53.93/34.14 inference(unit_resolution,[status(thm)],[12346, 1127, 12331])).
% 53.93/34.14 tff(12348,plain,
% 53.93/34.14 (v102(constB56)),
% 53.93/34.14 inference(unit_resolution,[status(thm)],[12347, 12343])).
% 53.93/34.14 tff(12349,plain,
% 53.93/34.14 (v1(constB56) <=> v1(constB56)),
% 53.93/34.14 inference(rewrite,[status(thm)],[])).
% 53.93/34.14 tff(12350,axiom,(v1(constB56)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_56_1')).
% 53.93/34.14 tff(12351,plain,
% 53.93/34.14 (v1(constB56)),
% 53.93/34.14 inference(modus_ponens,[status(thm)],[12350, 12349])).
% 53.93/34.14 tff(12352,plain,
% 53.93/34.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB55, constB56)) | v101(constB56) | (~v102(constB56)) | (~v1(constB56)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB55, constB56)) | v101(constB56) | (~v102(constB56)) | (~v1(constB56)))),
% 53.93/34.14 inference(rewrite,[status(thm)],[])).
% 53.93/34.14 tff(12353,plain,
% 53.93/34.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB55, constB56)) | v101(constB56) | (~v102(constB56)) | (~v1(constB56)))),
% 53.93/34.14 inference(quant_inst,[status(thm)],[])).
% 53.93/34.14 tff(12354,plain,
% 53.93/34.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB55, constB56)) | v101(constB56) | (~v102(constB56)) | (~v1(constB56))),
% 53.93/34.14 inference(modus_ponens,[status(thm)],[12353, 12352])).
% 53.93/34.14 tff(12355,plain,
% 53.93/34.14 (v101(constB56) | (~v102(constB56))),
% 53.93/34.14 inference(unit_resolution,[status(thm)],[12354, 1145, 12331, 12351])).
% 53.93/34.14 tff(12356,plain,
% 53.93/34.14 (v101(constB56)),
% 53.93/34.14 inference(unit_resolution,[status(thm)],[12355, 12348])).
% 53.93/34.14 tff(12357,plain,
% 53.93/34.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56)))),
% 53.93/34.14 inference(rewrite,[status(thm)],[])).
% 53.93/34.14 tff(12358,plain,
% 53.93/34.14 (((~nextState(constB55, constB56)) | (~v101(constB56)) | (~v110(constB56)) | v100(constB56)) <=> ((~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56)))),
% 53.93/34.14 inference(rewrite,[status(thm)],[])).
% 53.93/34.14 tff(12359,plain,
% 53.93/34.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB55, constB56)) | (~v101(constB56)) | (~v110(constB56)) | v100(constB56))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56))))),
% 53.93/34.14 inference(monotonicity,[status(thm)],[12358])).
% 53.93/34.14 tff(12360,plain,
% 53.93/34.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB55, constB56)) | (~v101(constB56)) | (~v110(constB56)) | v100(constB56))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56)))),
% 53.93/34.14 inference(transitivity,[status(thm)],[12359, 12357])).
% 53.93/34.14 tff(12361,plain,
% 53.93/34.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB55, constB56)) | (~v101(constB56)) | (~v110(constB56)) | v100(constB56))),
% 53.93/34.14 inference(quant_inst,[status(thm)],[])).
% 53.93/34.14 tff(12362,plain,
% 53.93/34.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB55, constB56)) | v100(constB56) | (~v101(constB56)) | (~v110(constB56))),
% 53.93/34.14 inference(modus_ponens,[status(thm)],[12361, 12360])).
% 53.93/34.14 tff(12363,plain,
% 53.93/34.14 (v100(constB56) | (~v101(constB56)) | (~v110(constB56))),
% 53.93/34.14 inference(unit_resolution,[status(thm)],[12362, 1160, 12331])).
% 53.93/34.14 tff(12364,plain,
% 53.93/34.14 (v100(constB56) | (~v110(constB56))),
% 53.93/34.14 inference(unit_resolution,[status(thm)],[12363, 12356])).
% 53.93/34.14 tff(12365,plain,
% 53.93/34.14 (v100(constB56)),
% 53.93/34.14 inference(unit_resolution,[status(thm)],[12364, 12339])).
% 53.93/34.14 tff(12366,plain,
% 53.93/34.14 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB55)) | v130(constB55, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB55)) | v130(constB55, 2))),
% 53.93/34.14 inference(rewrite,[status(thm)],[])).
% 53.93/34.14 tff(12367,plain,
% 53.93/34.14 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB55)) | v130(constB55, 2))),
% 53.93/34.14 inference(quant_inst,[status(thm)],[])).
% 53.93/34.14 tff(12368,plain,
% 53.93/34.14 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB55)) | v130(constB55, 2)),
% 53.93/34.14 inference(modus_ponens,[status(thm)],[12367, 12366])).
% 53.93/34.14 tff(12369,plain,
% 53.93/34.14 (v130(constB55, 2)),
% 53.93/34.14 inference(unit_resolution,[status(thm)],[12368, 1967, 12290])).
% 53.93/34.14 tff(12370,plain,
% 53.93/34.14 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB55) | (~v130(constB55, 2)) | v127(constB55, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB55) | (~v130(constB55, 2)) | v127(constB55, 2))),
% 53.93/34.14 inference(rewrite,[status(thm)],[])).
% 53.93/34.14 tff(12371,plain,
% 53.93/34.14 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB55) | (~v130(constB55, 2)) | v127(constB55, 2))),
% 53.93/34.14 inference(quant_inst,[status(thm)],[])).
% 53.93/34.14 tff(12372,plain,
% 53.93/34.14 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB55) | (~v130(constB55, 2)) | v127(constB55, 2)),
% 53.93/34.14 inference(modus_ponens,[status(thm)],[12371, 12370])).
% 53.93/34.14 tff(12373,plain,
% 53.93/34.14 ((~v130(constB55, 2)) | v127(constB55, 2)),
% 53.93/34.14 inference(unit_resolution,[status(thm)],[12372, 1981, 12316])).
% 53.93/34.14 tff(12374,plain,
% 53.93/34.14 (v127(constB55, 2)),
% 53.93/34.14 inference(unit_resolution,[status(thm)],[12373, 12369])).
% 53.93/34.14 tff(12375,plain,
% 53.93/34.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB55, constB56)) | (~v127(constB55, 2)) | v129(constB56, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB55, constB56)) | (~v127(constB55, 2)) | v129(constB56, 2))),
% 53.93/34.14 inference(rewrite,[status(thm)],[])).
% 53.93/34.14 tff(12376,plain,
% 53.93/34.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB55, constB56)) | (~v127(constB55, 2)) | v129(constB56, 2))),
% 53.93/34.14 inference(quant_inst,[status(thm)],[])).
% 53.93/34.14 tff(12377,plain,
% 53.93/34.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB55, constB56)) | (~v127(constB55, 2)) | v129(constB56, 2)),
% 53.93/34.14 inference(modus_ponens,[status(thm)],[12376, 12375])).
% 53.93/34.14 tff(12378,plain,
% 53.93/34.14 ((~v127(constB55, 2)) | v129(constB56, 2)),
% 53.93/34.14 inference(unit_resolution,[status(thm)],[12377, 1999, 12331])).
% 53.93/34.14 tff(12379,plain,
% 53.93/34.14 (v129(constB56, 2)),
% 53.93/34.14 inference(unit_resolution,[status(thm)],[12378, 12374])).
% 53.93/34.14 tff(12380,plain,
% 53.93/34.14 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB56, 2) | (~v129(constB56, 2)) | (~v100(constB56)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB56, 2) | (~v129(constB56, 2)) | (~v100(constB56)))),
% 53.93/34.14 inference(rewrite,[status(thm)],[])).
% 53.93/34.14 tff(12381,plain,
% 53.93/34.14 ((v90(constB56, 2) | (~v100(constB56)) | (~v129(constB56, 2))) <=> (v90(constB56, 2) | (~v129(constB56, 2)) | (~v100(constB56)))),
% 53.93/34.14 inference(rewrite,[status(thm)],[])).
% 53.93/34.14 tff(12382,plain,
% 53.93/34.14 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB56, 2) | (~v100(constB56)) | (~v129(constB56, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB56, 2) | (~v129(constB56, 2)) | (~v100(constB56))))),
% 53.93/34.14 inference(monotonicity,[status(thm)],[12381])).
% 53.93/34.14 tff(12383,plain,
% 53.93/34.14 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB56, 2) | (~v100(constB56)) | (~v129(constB56, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB56, 2) | (~v129(constB56, 2)) | (~v100(constB56)))),
% 53.93/34.14 inference(transitivity,[status(thm)],[12382, 12380])).
% 53.93/34.14 tff(12384,plain,
% 53.93/34.14 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB56, 2) | (~v100(constB56)) | (~v129(constB56, 2)))),
% 53.93/34.14 inference(quant_inst,[status(thm)],[])).
% 53.93/34.14 tff(12385,plain,
% 53.93/34.14 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB56, 2) | (~v129(constB56, 2)) | (~v100(constB56))),
% 53.93/34.14 inference(modus_ponens,[status(thm)],[12384, 12383])).
% 53.93/34.14 tff(12386,plain,
% 53.93/34.14 (v90(constB56, 2) | (~v100(constB56))),
% 53.93/34.14 inference(unit_resolution,[status(thm)],[12385, 2324, 12379])).
% 53.93/34.14 tff(12387,plain,
% 53.93/34.14 (v90(constB56, 2)),
% 53.93/34.14 inference(unit_resolution,[status(thm)],[12386, 12365])).
% 53.93/34.14 tff(12388,plain,
% 53.93/34.14 ((~v1(constB57)) <=> (~v1(constB57))),
% 53.93/34.14 inference(rewrite,[status(thm)],[])).
% 53.93/34.14 tff(12389,axiom,(~v1(constB57)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_57_1_1')).
% 53.93/34.14 tff(12390,plain,
% 53.93/34.14 (~v1(constB57)),
% 53.93/34.14 inference(modus_ponens,[status(thm)],[12389, 12388])).
% 53.93/34.14 tff(12391,plain,
% 53.93/34.14 (nextState(constB56, constB57) <=> nextState(constB56, constB57)),
% 53.93/34.14 inference(rewrite,[status(thm)],[])).
% 53.93/34.14 tff(12392,axiom,(nextState(constB56, constB57)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_56_1')).
% 53.93/34.14 tff(12393,plain,
% 53.93/34.14 (nextState(constB56, constB57)),
% 53.93/34.14 inference(modus_ponens,[status(thm)],[12392, 12391])).
% 53.93/34.14 tff(12394,plain,
% 53.93/34.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57)))),
% 53.93/34.14 inference(rewrite,[status(thm)],[])).
% 53.93/34.14 tff(12395,plain,
% 53.93/34.14 (((~nextState(constB56, constB57)) | (~v101(constB57)) | v1(constB57)) <=> (v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57)))),
% 53.93/34.14 inference(rewrite,[status(thm)],[])).
% 53.93/34.14 tff(12396,plain,
% 53.93/34.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB56, constB57)) | (~v101(constB57)) | v1(constB57))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57))))),
% 53.93/34.14 inference(monotonicity,[status(thm)],[12395])).
% 53.93/34.14 tff(12397,plain,
% 53.93/34.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB56, constB57)) | (~v101(constB57)) | v1(constB57))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57)))),
% 53.93/34.14 inference(transitivity,[status(thm)],[12396, 12394])).
% 53.93/34.14 tff(12398,plain,
% 53.93/34.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB56, constB57)) | (~v101(constB57)) | v1(constB57))),
% 53.93/34.14 inference(quant_inst,[status(thm)],[])).
% 53.93/34.14 tff(12399,plain,
% 53.93/34.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB57) | (~nextState(constB56, constB57)) | (~v101(constB57))),
% 53.93/34.14 inference(modus_ponens,[status(thm)],[12398, 12397])).
% 53.93/34.14 tff(12400,plain,
% 53.93/34.14 (~v101(constB57)),
% 53.93/34.14 inference(unit_resolution,[status(thm)],[12399, 873, 12393, 12390])).
% 53.93/34.14 tff(12401,plain,
% 53.93/34.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB56, constB57)) | v101(constB57) | (~v100(constB57)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB56, constB57)) | v101(constB57) | (~v100(constB57)))),
% 53.93/34.14 inference(rewrite,[status(thm)],[])).
% 53.93/34.14 tff(12402,plain,
% 53.93/34.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB56, constB57)) | v101(constB57) | (~v100(constB57)))),
% 53.93/34.14 inference(quant_inst,[status(thm)],[])).
% 53.93/34.14 tff(12403,plain,
% 53.93/34.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB56, constB57)) | v101(constB57) | (~v100(constB57))),
% 53.93/34.14 inference(modus_ponens,[status(thm)],[12402, 12401])).
% 53.93/34.14 tff(12404,plain,
% 53.93/34.14 (v101(constB57) | (~v100(constB57))),
% 53.93/34.14 inference(unit_resolution,[status(thm)],[12403, 890, 12393])).
% 53.93/34.14 tff(12405,plain,
% 53.93/34.14 (~v100(constB57)),
% 53.93/34.14 inference(unit_resolution,[status(thm)],[12404, 12400])).
% 53.93/34.14 tff(12406,plain,
% 53.93/34.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB56, 2)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB56, 2)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, 2))),
% 53.93/34.14 inference(rewrite,[status(thm)],[])).
% 53.93/34.14 tff(12407,plain,
% 53.93/34.14 (((~nextState(constB56, constB57)) | (~v90(constB56, 2)) | v100(constB57) | v90(constB57, 2)) <=> ((~v90(constB56, 2)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, 2))),
% 53.93/34.14 inference(rewrite,[status(thm)],[])).
% 53.93/34.14 tff(12408,plain,
% 53.93/34.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB56, constB57)) | (~v90(constB56, 2)) | v100(constB57) | v90(constB57, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB56, 2)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, 2)))),
% 53.93/34.14 inference(monotonicity,[status(thm)],[12407])).
% 53.93/34.14 tff(12409,plain,
% 53.93/34.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB56, constB57)) | (~v90(constB56, 2)) | v100(constB57) | v90(constB57, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB56, 2)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, 2))),
% 53.93/34.14 inference(transitivity,[status(thm)],[12408, 12406])).
% 53.93/34.14 tff(12410,plain,
% 53.93/34.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB56, constB57)) | (~v90(constB56, 2)) | v100(constB57) | v90(constB57, 2))),
% 53.93/34.14 inference(quant_inst,[status(thm)],[])).
% 53.93/34.14 tff(12411,plain,
% 53.93/34.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB56, 2)) | (~nextState(constB56, constB57)) | v100(constB57) | v90(constB57, 2)),
% 53.93/34.14 inference(modus_ponens,[status(thm)],[12410, 12409])).
% 53.93/34.14 tff(12412,plain,
% 53.93/34.14 ((~v90(constB56, 2)) | v100(constB57) | v90(constB57, 2)),
% 53.93/34.14 inference(unit_resolution,[status(thm)],[12411, 2174, 12393])).
% 53.93/34.14 tff(12413,plain,
% 53.93/34.14 ((~v90(constB56, 2)) | v90(constB57, 2)),
% 53.93/34.14 inference(unit_resolution,[status(thm)],[12412, 12405])).
% 53.93/34.14 tff(12414,plain,
% 53.93/34.14 (v90(constB57, 2)),
% 53.93/34.14 inference(unit_resolution,[status(thm)],[12413, 12387])).
% 53.93/34.14 tff(12415,plain,
% 53.93/34.14 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB55)) | (~v130(constB55, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB55)) | (~v130(constB55, 1)))),
% 53.93/34.14 inference(rewrite,[status(thm)],[])).
% 53.93/34.14 tff(12416,plain,
% 53.93/34.14 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB55)) | (~v130(constB55, 1)))),
% 53.93/34.14 inference(quant_inst,[status(thm)],[])).
% 53.93/34.14 tff(12417,plain,
% 53.93/34.14 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB55)) | (~v130(constB55, 1))),
% 53.93/34.14 inference(modus_ponens,[status(thm)],[12416, 12415])).
% 53.93/34.14 tff(12418,plain,
% 53.93/34.14 (~v130(constB55, 1)),
% 53.93/34.14 inference(unit_resolution,[status(thm)],[12417, 2366, 12290])).
% 53.93/34.14 tff(12419,plain,
% 53.93/34.14 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB55, 1)) | v26(constB55) | v130(constB55, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB55, 1)) | v26(constB55) | v130(constB55, 1))),
% 53.93/34.14 inference(rewrite,[status(thm)],[])).
% 53.93/34.14 tff(12420,plain,
% 53.93/34.14 ((v26(constB55) | v130(constB55, 1) | (~v127(constB55, 1))) <=> ((~v127(constB55, 1)) | v26(constB55) | v130(constB55, 1))),
% 53.93/34.14 inference(rewrite,[status(thm)],[])).
% 53.93/34.14 tff(12421,plain,
% 53.93/34.14 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB55) | v130(constB55, 1) | (~v127(constB55, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB55, 1)) | v26(constB55) | v130(constB55, 1)))),
% 53.93/34.14 inference(monotonicity,[status(thm)],[12420])).
% 53.93/34.14 tff(12422,plain,
% 53.93/34.14 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB55) | v130(constB55, 1) | (~v127(constB55, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB55, 1)) | v26(constB55) | v130(constB55, 1))),
% 53.93/34.14 inference(transitivity,[status(thm)],[12421, 12419])).
% 53.93/34.14 tff(12423,plain,
% 53.93/34.14 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB55) | v130(constB55, 1) | (~v127(constB55, 1)))),
% 53.93/34.14 inference(quant_inst,[status(thm)],[])).
% 53.93/34.14 tff(12424,plain,
% 53.93/34.14 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB55, 1)) | v26(constB55) | v130(constB55, 1)),
% 53.93/34.14 inference(modus_ponens,[status(thm)],[12423, 12422])).
% 53.93/34.14 tff(12425,plain,
% 53.93/34.14 ((~v127(constB55, 1)) | v130(constB55, 1)),
% 53.93/34.14 inference(unit_resolution,[status(thm)],[12424, 1276, 12316])).
% 53.93/34.14 tff(12426,plain,
% 53.93/34.14 (~v127(constB55, 1)),
% 53.93/34.14 inference(unit_resolution,[status(thm)],[12425, 12418])).
% 53.93/34.14 tff(12427,plain,
% 53.93/34.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB55, constB56)) | v127(constB55, 1) | (~v129(constB56, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB55, constB56)) | v127(constB55, 1) | (~v129(constB56, 1)))),
% 53.93/34.14 inference(rewrite,[status(thm)],[])).
% 53.93/34.14 tff(12428,plain,
% 53.93/34.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB55, constB56)) | v127(constB55, 1) | (~v129(constB56, 1)))),
% 53.93/34.14 inference(quant_inst,[status(thm)],[])).
% 53.93/34.14 tff(12429,plain,
% 53.93/34.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB55, constB56)) | v127(constB55, 1) | (~v129(constB56, 1))),
% 53.93/34.14 inference(modus_ponens,[status(thm)],[12428, 12427])).
% 53.93/34.14 tff(12430,plain,
% 53.93/34.14 (v127(constB55, 1) | (~v129(constB56, 1))),
% 53.93/34.14 inference(unit_resolution,[status(thm)],[12429, 1294, 12331])).
% 53.93/34.14 tff(12431,plain,
% 53.93/34.14 (~v129(constB56, 1)),
% 53.93/34.14 inference(unit_resolution,[status(thm)],[12430, 12426])).
% 53.93/34.14 tff(12432,plain,
% 53.93/34.14 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB56, 1)) | v129(constB56, 1) | (~v100(constB56)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB56, 1)) | v129(constB56, 1) | (~v100(constB56)))),
% 53.93/34.14 inference(rewrite,[status(thm)],[])).
% 53.93/34.14 tff(12433,plain,
% 53.93/34.14 (((~v90(constB56, 1)) | (~v100(constB56)) | v129(constB56, 1)) <=> ((~v90(constB56, 1)) | v129(constB56, 1) | (~v100(constB56)))),
% 53.93/34.14 inference(rewrite,[status(thm)],[])).
% 53.93/34.14 tff(12434,plain,
% 53.93/34.14 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB56, 1)) | (~v100(constB56)) | v129(constB56, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB56, 1)) | v129(constB56, 1) | (~v100(constB56))))),
% 53.93/34.14 inference(monotonicity,[status(thm)],[12433])).
% 53.93/34.14 tff(12435,plain,
% 53.93/34.14 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB56, 1)) | (~v100(constB56)) | v129(constB56, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB56, 1)) | v129(constB56, 1) | (~v100(constB56)))),
% 53.93/34.14 inference(transitivity,[status(thm)],[12434, 12432])).
% 53.93/34.14 tff(12436,plain,
% 53.93/34.14 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB56, 1)) | (~v100(constB56)) | v129(constB56, 1))),
% 53.93/34.14 inference(quant_inst,[status(thm)],[])).
% 53.93/34.14 tff(12437,plain,
% 53.93/34.14 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB56, 1)) | v129(constB56, 1) | (~v100(constB56))),
% 53.93/34.14 inference(modus_ponens,[status(thm)],[12436, 12435])).
% 53.93/34.14 tff(12438,plain,
% 53.93/34.14 ((~v90(constB56, 1)) | (~v100(constB56))),
% 53.93/34.14 inference(unit_resolution,[status(thm)],[12437, 1309, 12431])).
% 53.93/34.14 tff(12439,plain,
% 53.93/34.14 (~v90(constB56, 1)),
% 53.93/34.14 inference(unit_resolution,[status(thm)],[12438, 12365])).
% 53.93/34.14 tff(12440,plain,
% 53.93/34.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB56, 1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB56, 1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, 1)))),
% 53.93/34.14 inference(rewrite,[status(thm)],[])).
% 53.93/34.14 tff(12441,plain,
% 53.93/34.14 (((~nextState(constB56, constB57)) | v90(constB56, 1) | v100(constB57) | (~v90(constB57, 1))) <=> (v90(constB56, 1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, 1)))),
% 53.93/34.14 inference(rewrite,[status(thm)],[])).
% 53.93/34.14 tff(12442,plain,
% 53.93/34.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB56, constB57)) | v90(constB56, 1) | v100(constB57) | (~v90(constB57, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB56, 1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, 1))))),
% 53.93/34.14 inference(monotonicity,[status(thm)],[12441])).
% 53.93/34.14 tff(12443,plain,
% 53.93/34.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB56, constB57)) | v90(constB56, 1) | v100(constB57) | (~v90(constB57, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB56, 1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, 1)))),
% 53.93/34.14 inference(transitivity,[status(thm)],[12442, 12440])).
% 53.93/34.14 tff(12444,plain,
% 53.93/34.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB56, constB57)) | v90(constB56, 1) | v100(constB57) | (~v90(constB57, 1)))),
% 53.93/34.14 inference(quant_inst,[status(thm)],[])).
% 53.93/34.14 tff(12445,plain,
% 53.93/34.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB56, 1) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, 1))),
% 53.93/34.14 inference(modus_ponens,[status(thm)],[12444, 12443])).
% 53.93/34.14 tff(12446,plain,
% 53.93/34.14 (v90(constB56, 1) | v100(constB57) | (~v90(constB57, 1))),
% 53.93/34.14 inference(unit_resolution,[status(thm)],[12445, 926, 12393])).
% 53.93/34.14 tff(12447,plain,
% 53.93/34.14 (v90(constB56, 1) | (~v90(constB57, 1))),
% 53.93/34.14 inference(unit_resolution,[status(thm)],[12446, 12405])).
% 53.93/34.14 tff(12448,plain,
% 53.93/34.14 (~v90(constB57, 1)),
% 53.93/34.14 inference(unit_resolution,[status(thm)],[12447, 12439])).
% 53.93/34.14 tff(12449,plain,
% 53.93/34.14 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB55)) | (~v130(constB55, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB55)) | (~v130(constB55, 0)))),
% 53.93/34.14 inference(rewrite,[status(thm)],[])).
% 53.93/34.14 tff(12450,plain,
% 53.93/34.14 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB55)) | (~v130(constB55, 0)))),
% 53.93/34.14 inference(quant_inst,[status(thm)],[])).
% 53.93/34.14 tff(12451,plain,
% 53.93/34.14 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB55)) | (~v130(constB55, 0))),
% 53.93/34.14 inference(modus_ponens,[status(thm)],[12450, 12449])).
% 53.93/34.14 tff(12452,plain,
% 53.93/34.14 (~v130(constB55, 0)),
% 53.93/34.14 inference(unit_resolution,[status(thm)],[12451, 2407, 12290])).
% 53.93/34.14 tff(12453,plain,
% 53.93/34.14 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB55, 0)) | v26(constB55) | v130(constB55, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB55, 0)) | v26(constB55) | v130(constB55, 0))),
% 53.93/34.14 inference(rewrite,[status(thm)],[])).
% 53.93/34.14 tff(12454,plain,
% 53.93/34.14 ((v26(constB55) | v130(constB55, 0) | (~v127(constB55, 0))) <=> ((~v127(constB55, 0)) | v26(constB55) | v130(constB55, 0))),
% 53.93/34.14 inference(rewrite,[status(thm)],[])).
% 53.93/34.14 tff(12455,plain,
% 53.93/34.14 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB55) | v130(constB55, 0) | (~v127(constB55, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB55, 0)) | v26(constB55) | v130(constB55, 0)))),
% 53.93/34.14 inference(monotonicity,[status(thm)],[12454])).
% 53.93/34.14 tff(12456,plain,
% 53.93/34.14 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB55) | v130(constB55, 0) | (~v127(constB55, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB55, 0)) | v26(constB55) | v130(constB55, 0))),
% 53.93/34.14 inference(transitivity,[status(thm)],[12455, 12453])).
% 53.93/34.14 tff(12457,plain,
% 53.93/34.14 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB55) | v130(constB55, 0) | (~v127(constB55, 0)))),
% 53.93/34.14 inference(quant_inst,[status(thm)],[])).
% 53.93/34.14 tff(12458,plain,
% 53.93/34.14 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB55, 0)) | v26(constB55) | v130(constB55, 0)),
% 53.93/34.14 inference(modus_ponens,[status(thm)],[12457, 12456])).
% 53.93/34.14 tff(12459,plain,
% 53.93/34.14 ((~v127(constB55, 0)) | v130(constB55, 0)),
% 53.93/34.14 inference(unit_resolution,[status(thm)],[12458, 1671, 12316])).
% 53.93/34.14 tff(12460,plain,
% 53.93/34.14 (~v127(constB55, 0)),
% 53.93/34.14 inference(unit_resolution,[status(thm)],[12459, 12452])).
% 53.93/34.14 tff(12461,plain,
% 53.93/34.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB55, constB56)) | v127(constB55, 0) | (~v129(constB56, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB55, constB56)) | v127(constB55, 0) | (~v129(constB56, 0)))),
% 53.93/34.14 inference(rewrite,[status(thm)],[])).
% 53.93/34.14 tff(12462,plain,
% 53.93/34.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB55, constB56)) | v127(constB55, 0) | (~v129(constB56, 0)))),
% 53.93/34.14 inference(quant_inst,[status(thm)],[])).
% 53.93/34.14 tff(12463,plain,
% 53.93/34.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB55, constB56)) | v127(constB55, 0) | (~v129(constB56, 0))),
% 53.93/34.14 inference(modus_ponens,[status(thm)],[12462, 12461])).
% 53.93/34.14 tff(12464,plain,
% 53.93/34.14 (v127(constB55, 0) | (~v129(constB56, 0))),
% 53.93/34.14 inference(unit_resolution,[status(thm)],[12463, 1689, 12331])).
% 53.93/34.14 tff(12465,plain,
% 53.93/34.14 (~v129(constB56, 0)),
% 53.93/34.14 inference(unit_resolution,[status(thm)],[12464, 12460])).
% 53.93/34.14 tff(12466,plain,
% 53.93/34.14 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB56, 0)) | v129(constB56, 0) | (~v100(constB56)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB56, 0)) | v129(constB56, 0) | (~v100(constB56)))),
% 53.93/34.14 inference(rewrite,[status(thm)],[])).
% 53.93/34.14 tff(12467,plain,
% 53.93/34.14 (((~v90(constB56, 0)) | (~v100(constB56)) | v129(constB56, 0)) <=> ((~v90(constB56, 0)) | v129(constB56, 0) | (~v100(constB56)))),
% 53.93/34.14 inference(rewrite,[status(thm)],[])).
% 53.93/34.14 tff(12468,plain,
% 53.93/34.14 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB56, 0)) | (~v100(constB56)) | v129(constB56, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB56, 0)) | v129(constB56, 0) | (~v100(constB56))))),
% 53.93/34.14 inference(monotonicity,[status(thm)],[12467])).
% 53.93/34.14 tff(12469,plain,
% 53.93/34.14 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB56, 0)) | (~v100(constB56)) | v129(constB56, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB56, 0)) | v129(constB56, 0) | (~v100(constB56)))),
% 53.93/34.14 inference(transitivity,[status(thm)],[12468, 12466])).
% 53.93/34.14 tff(12470,plain,
% 53.93/34.14 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB56, 0)) | (~v100(constB56)) | v129(constB56, 0))),
% 53.93/34.14 inference(quant_inst,[status(thm)],[])).
% 53.93/34.14 tff(12471,plain,
% 53.93/34.14 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB56, 0)) | v129(constB56, 0) | (~v100(constB56))),
% 53.93/34.14 inference(modus_ponens,[status(thm)],[12470, 12469])).
% 53.93/34.14 tff(12472,plain,
% 53.93/34.14 ((~v90(constB56, 0)) | (~v100(constB56))),
% 53.93/34.14 inference(unit_resolution,[status(thm)],[12471, 1704, 12465])).
% 53.93/34.14 tff(12473,plain,
% 53.93/34.14 (~v90(constB56, 0)),
% 53.93/34.14 inference(unit_resolution,[status(thm)],[12472, 12365])).
% 53.93/34.14 tff(12474,plain,
% 53.93/34.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB56, 0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB56, 0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, 0)))),
% 53.93/34.14 inference(rewrite,[status(thm)],[])).
% 53.93/34.14 tff(12475,plain,
% 53.93/34.14 (((~nextState(constB56, constB57)) | v90(constB56, 0) | v100(constB57) | (~v90(constB57, 0))) <=> (v90(constB56, 0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, 0)))),
% 53.93/34.14 inference(rewrite,[status(thm)],[])).
% 53.93/34.14 tff(12476,plain,
% 53.93/34.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB56, constB57)) | v90(constB56, 0) | v100(constB57) | (~v90(constB57, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB56, 0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, 0))))),
% 53.93/34.14 inference(monotonicity,[status(thm)],[12475])).
% 53.93/34.14 tff(12477,plain,
% 53.93/34.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB56, constB57)) | v90(constB56, 0) | v100(constB57) | (~v90(constB57, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB56, 0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, 0)))),
% 53.93/34.14 inference(transitivity,[status(thm)],[12476, 12474])).
% 53.93/34.14 tff(12478,plain,
% 53.93/34.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB56, constB57)) | v90(constB56, 0) | v100(constB57) | (~v90(constB57, 0)))),
% 53.93/34.14 inference(quant_inst,[status(thm)],[])).
% 53.93/34.14 tff(12479,plain,
% 53.93/34.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB56, 0) | (~nextState(constB56, constB57)) | v100(constB57) | (~v90(constB57, 0))),
% 53.93/34.14 inference(modus_ponens,[status(thm)],[12478, 12477])).
% 53.93/34.14 tff(12480,plain,
% 53.93/34.14 (v90(constB56, 0) | v100(constB57) | (~v90(constB57, 0))),
% 53.93/34.14 inference(unit_resolution,[status(thm)],[12479, 947, 12393])).
% 53.93/34.14 tff(12481,plain,
% 53.93/34.14 (v90(constB56, 0) | (~v90(constB57, 0))),
% 53.93/34.14 inference(unit_resolution,[status(thm)],[12480, 12405])).
% 53.93/34.14 tff(12482,plain,
% 53.93/34.14 (~v90(constB57, 0)),
% 53.93/34.14 inference(unit_resolution,[status(thm)],[12481, 12473])).
% 53.93/34.14 tff(12483,plain,
% 53.93/34.14 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB57, 0) | v90(constB57, 1) | (~v90(constB57, 2)) | v123(constB57))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB57, 0) | v90(constB57, 1) | (~v90(constB57, 2)) | v123(constB57))),
% 53.93/34.14 inference(rewrite,[status(thm)],[])).
% 53.93/34.14 tff(12484,plain,
% 53.93/34.14 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB57, 0) | v90(constB57, 1) | (~v90(constB57, 2)) | v123(constB57))),
% 53.93/34.14 inference(quant_inst,[status(thm)],[])).
% 53.93/34.14 tff(12485,plain,
% 53.93/34.14 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB57, 0) | v90(constB57, 1) | (~v90(constB57, 2)) | v123(constB57)),
% 53.93/34.14 inference(modus_ponens,[status(thm)],[12484, 12483])).
% 53.93/34.14 tff(12486,plain,
% 53.93/34.14 (v123(constB57)),
% 53.93/34.14 inference(unit_resolution,[status(thm)],[12485, 2308, 12482, 12448, 12414])).
% 53.93/34.14 tff(12487,plain,
% 53.93/34.14 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB57) | (~v123(constB57)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB57) | (~v123(constB57)))),
% 53.93/34.14 inference(rewrite,[status(thm)],[])).
% 53.93/34.14 tff(12488,plain,
% 53.93/34.14 (((~v123(constB57)) | v115(constB57)) <=> (v115(constB57) | (~v123(constB57)))),
% 53.93/34.14 inference(rewrite,[status(thm)],[])).
% 53.93/34.14 tff(12489,plain,
% 53.93/34.14 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB57)) | v115(constB57))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB57) | (~v123(constB57))))),
% 53.93/34.14 inference(monotonicity,[status(thm)],[12488])).
% 53.93/34.14 tff(12490,plain,
% 53.93/34.14 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB57)) | v115(constB57))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB57) | (~v123(constB57)))),
% 53.93/34.14 inference(transitivity,[status(thm)],[12489, 12487])).
% 53.93/34.14 tff(12491,plain,
% 53.93/34.14 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB57)) | v115(constB57))),
% 53.93/34.14 inference(quant_inst,[status(thm)],[])).
% 53.93/34.14 tff(12492,plain,
% 53.93/34.14 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB57) | (~v123(constB57))),
% 53.93/34.14 inference(modus_ponens,[status(thm)],[12491, 12490])).
% 53.93/34.14 tff(12493,plain,
% 53.93/34.14 (v115(constB57)),
% 53.93/34.14 inference(unit_resolution,[status(thm)],[12492, 2291, 12486])).
% 53.93/34.14 tff(12494,plain,
% 53.93/34.14 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB57) | (~v115(constB57)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB57) | (~v115(constB57)))),
% 53.93/34.14 inference(rewrite,[status(thm)],[])).
% 53.93/34.14 tff(12495,plain,
% 53.93/34.14 (((~v115(constB57)) | v114(constB57)) <=> (v114(constB57) | (~v115(constB57)))),
% 53.93/34.14 inference(rewrite,[status(thm)],[])).
% 53.93/34.14 tff(12496,plain,
% 53.93/34.14 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB57)) | v114(constB57))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB57) | (~v115(constB57))))),
% 53.93/34.14 inference(monotonicity,[status(thm)],[12495])).
% 53.93/34.14 tff(12497,plain,
% 53.93/34.14 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB57)) | v114(constB57))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB57) | (~v115(constB57)))),
% 53.93/34.14 inference(transitivity,[status(thm)],[12496, 12494])).
% 53.93/34.14 tff(12498,plain,
% 53.93/34.14 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB57)) | v114(constB57))),
% 53.93/34.14 inference(quant_inst,[status(thm)],[])).
% 53.93/34.14 tff(12499,plain,
% 53.93/34.14 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB57) | (~v115(constB57))),
% 53.93/34.14 inference(modus_ponens,[status(thm)],[12498, 12497])).
% 53.93/34.14 tff(12500,plain,
% 53.93/34.14 (v114(constB57)),
% 53.93/34.14 inference(unit_resolution,[status(thm)],[12499, 1035, 12493])).
% 53.93/34.14 tff(12501,plain,
% 53.93/34.14 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB57) | (~v114(constB57)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB57) | (~v114(constB57)))),
% 53.93/34.14 inference(rewrite,[status(thm)],[])).
% 53.93/34.14 tff(12502,plain,
% 53.93/34.14 (((~v114(constB57)) | v113(constB57)) <=> (v113(constB57) | (~v114(constB57)))),
% 53.93/34.14 inference(rewrite,[status(thm)],[])).
% 53.93/34.14 tff(12503,plain,
% 53.93/34.14 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB57)) | v113(constB57))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB57) | (~v114(constB57))))),
% 53.93/34.14 inference(monotonicity,[status(thm)],[12502])).
% 53.93/34.14 tff(12504,plain,
% 53.93/34.14 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB57)) | v113(constB57))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB57) | (~v114(constB57)))),
% 53.93/34.14 inference(transitivity,[status(thm)],[12503, 12501])).
% 53.93/34.14 tff(12505,plain,
% 53.93/34.14 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB57)) | v113(constB57))),
% 53.93/34.14 inference(quant_inst,[status(thm)],[])).
% 53.93/34.14 tff(12506,plain,
% 53.93/34.14 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB57) | (~v114(constB57))),
% 53.93/34.14 inference(modus_ponens,[status(thm)],[12505, 12504])).
% 53.93/34.14 tff(12507,plain,
% 53.93/34.14 (v113(constB57)),
% 53.93/34.14 inference(unit_resolution,[status(thm)],[12506, 1049, 12500])).
% 53.93/34.14 tff(12508,assumption,(v26(constB57)), introduced(assumption)).
% 53.93/34.14 tff(12509,plain,
% 53.93/34.14 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB57))),
% 53.93/34.14 inference(quant_inst,[status(thm)],[])).
% 53.93/34.14 tff(12510,plain,
% 53.93/34.14 ($false),
% 53.93/34.14 inference(unit_resolution,[status(thm)],[12509, 828, 12508])).
% 53.93/34.14 tff(12511,plain,(~v26(constB57)), inference(lemma,lemma(discharge,[]))).
% 53.93/34.14 tff(12512,plain,
% 53.93/34.14 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB57) | v112(constB57) | (~v113(constB57)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB57) | v112(constB57) | (~v113(constB57)))),
% 53.93/34.14 inference(rewrite,[status(thm)],[])).
% 53.93/34.14 tff(12513,plain,
% 53.93/34.14 ((v26(constB57) | (~v113(constB57)) | v112(constB57)) <=> (v26(constB57) | v112(constB57) | (~v113(constB57)))),
% 53.93/34.14 inference(rewrite,[status(thm)],[])).
% 53.93/34.14 tff(12514,plain,
% 53.93/34.14 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB57) | (~v113(constB57)) | v112(constB57))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB57) | v112(constB57) | (~v113(constB57))))),
% 53.93/34.14 inference(monotonicity,[status(thm)],[12513])).
% 53.93/34.14 tff(12515,plain,
% 53.93/34.14 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB57) | (~v113(constB57)) | v112(constB57))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB57) | v112(constB57) | (~v113(constB57)))),
% 53.93/34.14 inference(transitivity,[status(thm)],[12514, 12512])).
% 53.93/34.14 tff(12516,plain,
% 53.93/34.14 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB57) | (~v113(constB57)) | v112(constB57))),
% 53.93/34.14 inference(quant_inst,[status(thm)],[])).
% 53.93/34.14 tff(12517,plain,
% 53.93/34.14 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB57) | v112(constB57) | (~v113(constB57))),
% 53.93/34.14 inference(modus_ponens,[status(thm)],[12516, 12515])).
% 53.93/34.14 tff(12518,plain,
% 53.93/34.14 (v112(constB57) | (~v113(constB57))),
% 53.93/34.14 inference(unit_resolution,[status(thm)],[12517, 1063, 12511])).
% 53.93/34.14 tff(12519,plain,
% 53.93/34.14 (v112(constB57)),
% 53.93/34.14 inference(unit_resolution,[status(thm)],[12518, 12507])).
% 53.93/34.14 tff(12520,plain,
% 53.93/34.14 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB57) | (~v112(constB57)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB57) | (~v112(constB57)))),
% 53.93/34.14 inference(rewrite,[status(thm)],[])).
% 53.93/34.14 tff(12521,plain,
% 53.93/34.14 (((~v112(constB57)) | v108(constB57)) <=> (v108(constB57) | (~v112(constB57)))),
% 53.93/34.14 inference(rewrite,[status(thm)],[])).
% 53.93/34.14 tff(12522,plain,
% 53.93/34.14 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB57)) | v108(constB57))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB57) | (~v112(constB57))))),
% 53.93/34.14 inference(monotonicity,[status(thm)],[12521])).
% 53.93/34.14 tff(12523,plain,
% 53.93/34.14 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB57)) | v108(constB57))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB57) | (~v112(constB57)))),
% 53.93/34.14 inference(transitivity,[status(thm)],[12522, 12520])).
% 53.93/34.14 tff(12524,plain,
% 53.93/34.14 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB57)) | v108(constB57))),
% 53.93/34.14 inference(quant_inst,[status(thm)],[])).
% 53.93/34.14 tff(12525,plain,
% 53.93/34.14 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB57) | (~v112(constB57))),
% 53.93/34.14 inference(modus_ponens,[status(thm)],[12524, 12523])).
% 53.93/34.14 tff(12526,plain,
% 53.93/34.14 (v108(constB57)),
% 53.93/34.14 inference(unit_resolution,[status(thm)],[12525, 1075, 12519])).
% 53.93/34.14 tff(12527,plain,
% 53.93/34.14 (nextState(constB57, constB58) <=> nextState(constB57, constB58)),
% 53.93/34.14 inference(rewrite,[status(thm)],[])).
% 53.93/34.14 tff(12528,axiom,(nextState(constB57, constB58)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_57_1')).
% 53.93/34.14 tff(12529,plain,
% 53.93/34.14 (nextState(constB57, constB58)),
% 53.93/34.14 inference(modus_ponens,[status(thm)],[12528, 12527])).
% 53.93/34.14 tff(12530,plain,
% 53.93/34.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57)))),
% 53.93/34.14 inference(rewrite,[status(thm)],[])).
% 53.93/34.14 tff(12531,plain,
% 53.93/34.14 (((~nextState(constB57, constB58)) | (~v108(constB57)) | v110(constB58)) <=> ((~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57)))),
% 53.93/34.15 inference(rewrite,[status(thm)],[])).
% 53.93/34.15 tff(12532,plain,
% 53.93/34.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB57, constB58)) | (~v108(constB57)) | v110(constB58))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57))))),
% 53.93/34.15 inference(monotonicity,[status(thm)],[12531])).
% 53.93/34.15 tff(12533,plain,
% 53.93/34.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB57, constB58)) | (~v108(constB57)) | v110(constB58))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57)))),
% 53.93/34.15 inference(transitivity,[status(thm)],[12532, 12530])).
% 53.93/34.15 tff(12534,plain,
% 53.93/34.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB57, constB58)) | (~v108(constB57)) | v110(constB58))),
% 53.93/34.15 inference(quant_inst,[status(thm)],[])).
% 53.93/34.15 tff(12535,plain,
% 53.93/34.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB57, constB58)) | v110(constB58) | (~v108(constB57))),
% 53.93/34.15 inference(modus_ponens,[status(thm)],[12534, 12533])).
% 53.93/34.15 tff(12536,plain,
% 53.93/34.15 (v110(constB58) | (~v108(constB57))),
% 53.93/34.15 inference(unit_resolution,[status(thm)],[12535, 1095, 12529])).
% 53.93/34.15 tff(12537,plain,
% 53.93/34.15 (v110(constB58)),
% 53.93/34.15 inference(unit_resolution,[status(thm)],[12536, 12526])).
% 53.93/34.15 tff(12538,plain,
% 53.93/34.15 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB57) | (~nextState(constB57, constB58)) | (~v104(constB58)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB57) | (~nextState(constB57, constB58)) | (~v104(constB58)))),
% 53.93/34.15 inference(rewrite,[status(thm)],[])).
% 53.93/34.15 tff(12539,plain,
% 53.93/34.15 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB57) | (~nextState(constB57, constB58)) | (~v104(constB58)))),
% 53.93/34.15 inference(quant_inst,[status(thm)],[])).
% 53.93/34.15 tff(12540,plain,
% 53.93/34.15 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB57) | (~nextState(constB57, constB58)) | (~v104(constB58))),
% 53.93/34.15 inference(modus_ponens,[status(thm)],[12539, 12538])).
% 53.93/34.15 tff(12541,plain,
% 53.93/34.15 (~v104(constB58)),
% 53.93/34.15 inference(unit_resolution,[status(thm)],[12540, 1113, 12529, 12390])).
% 53.93/34.15 tff(12542,plain,
% 53.93/34.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB57, constB58)) | v102(constB58) | v104(constB58))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB57, constB58)) | v102(constB58) | v104(constB58))),
% 53.93/34.15 inference(rewrite,[status(thm)],[])).
% 53.93/34.15 tff(12543,plain,
% 53.93/34.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB57, constB58)) | v102(constB58) | v104(constB58))),
% 53.93/34.15 inference(quant_inst,[status(thm)],[])).
% 53.93/34.15 tff(12544,plain,
% 53.93/34.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB57, constB58)) | v102(constB58) | v104(constB58)),
% 53.93/34.15 inference(modus_ponens,[status(thm)],[12543, 12542])).
% 53.93/34.15 tff(12545,plain,
% 53.93/34.15 (v102(constB58) | v104(constB58)),
% 53.93/34.15 inference(unit_resolution,[status(thm)],[12544, 1127, 12529])).
% 53.93/34.15 tff(12546,plain,
% 53.93/34.15 (v102(constB58)),
% 53.93/34.15 inference(unit_resolution,[status(thm)],[12545, 12541])).
% 53.93/34.15 tff(12547,plain,
% 53.93/34.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB57, constB58)) | v101(constB58) | (~v102(constB58)) | (~v1(constB58)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB57, constB58)) | v101(constB58) | (~v102(constB58)) | (~v1(constB58)))),
% 53.93/34.15 inference(rewrite,[status(thm)],[])).
% 53.93/34.15 tff(12548,plain,
% 53.93/34.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB57, constB58)) | v101(constB58) | (~v102(constB58)) | (~v1(constB58)))),
% 53.93/34.15 inference(quant_inst,[status(thm)],[])).
% 53.93/34.15 tff(12549,plain,
% 53.93/34.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB57, constB58)) | v101(constB58) | (~v102(constB58)) | (~v1(constB58))),
% 53.93/34.15 inference(modus_ponens,[status(thm)],[12548, 12547])).
% 53.93/34.15 tff(12550,plain,
% 53.93/34.15 (v101(constB58) | (~v102(constB58))),
% 53.93/34.15 inference(unit_resolution,[status(thm)],[12549, 1145, 12529, 123])).
% 53.93/34.15 tff(12551,plain,
% 53.93/34.15 (v101(constB58)),
% 53.93/34.15 inference(unit_resolution,[status(thm)],[12550, 12546])).
% 53.93/34.15 tff(12552,plain,
% 53.93/34.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58)))),
% 53.93/34.15 inference(rewrite,[status(thm)],[])).
% 53.93/34.15 tff(12553,plain,
% 53.93/34.15 (((~nextState(constB57, constB58)) | (~v101(constB58)) | (~v110(constB58)) | v100(constB58)) <=> ((~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58)))),
% 53.93/34.15 inference(rewrite,[status(thm)],[])).
% 53.93/34.15 tff(12554,plain,
% 53.93/34.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB57, constB58)) | (~v101(constB58)) | (~v110(constB58)) | v100(constB58))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58))))),
% 53.93/34.15 inference(monotonicity,[status(thm)],[12553])).
% 53.93/34.15 tff(12555,plain,
% 53.93/34.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB57, constB58)) | (~v101(constB58)) | (~v110(constB58)) | v100(constB58))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58)))),
% 53.93/34.15 inference(transitivity,[status(thm)],[12554, 12552])).
% 53.93/34.15 tff(12556,plain,
% 53.93/34.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB57, constB58)) | (~v101(constB58)) | (~v110(constB58)) | v100(constB58))),
% 53.93/34.15 inference(quant_inst,[status(thm)],[])).
% 53.93/34.15 tff(12557,plain,
% 53.93/34.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB57, constB58)) | v100(constB58) | (~v101(constB58)) | (~v110(constB58))),
% 53.93/34.15 inference(modus_ponens,[status(thm)],[12556, 12555])).
% 53.93/34.15 tff(12558,plain,
% 53.93/34.15 (v100(constB58) | (~v101(constB58)) | (~v110(constB58))),
% 53.93/34.15 inference(unit_resolution,[status(thm)],[12557, 1160, 12529])).
% 53.93/34.15 tff(12559,plain,
% 53.93/34.15 (v100(constB58) | (~v110(constB58))),
% 53.93/34.15 inference(unit_resolution,[status(thm)],[12558, 12551])).
% 53.93/34.15 tff(12560,plain,
% 53.93/34.15 (v100(constB58)),
% 53.93/34.15 inference(unit_resolution,[status(thm)],[12559, 12537])).
% 53.93/34.15 tff(12561,plain,
% 53.93/34.15 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB57)) | v130(constB57, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB57)) | v130(constB57, 2))),
% 53.93/34.15 inference(rewrite,[status(thm)],[])).
% 53.93/34.15 tff(12562,plain,
% 53.93/34.15 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB57)) | v130(constB57, 2))),
% 53.93/34.15 inference(quant_inst,[status(thm)],[])).
% 53.93/34.15 tff(12563,plain,
% 53.93/34.15 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB57)) | v130(constB57, 2)),
% 53.93/34.15 inference(modus_ponens,[status(thm)],[12562, 12561])).
% 53.93/34.15 tff(12564,plain,
% 53.93/34.15 (v130(constB57, 2)),
% 53.93/34.15 inference(unit_resolution,[status(thm)],[12563, 2525, 12486])).
% 53.93/34.15 tff(12565,plain,
% 53.93/34.15 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB57) | (~v130(constB57, 2)) | v127(constB57, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB57) | (~v130(constB57, 2)) | v127(constB57, 2))),
% 53.93/34.15 inference(rewrite,[status(thm)],[])).
% 53.93/34.15 tff(12566,plain,
% 53.93/34.15 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB57) | (~v130(constB57, 2)) | v127(constB57, 2))),
% 53.93/34.15 inference(quant_inst,[status(thm)],[])).
% 53.93/34.15 tff(12567,plain,
% 53.93/34.15 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB57) | (~v130(constB57, 2)) | v127(constB57, 2)),
% 53.93/34.15 inference(modus_ponens,[status(thm)],[12566, 12565])).
% 53.93/34.15 tff(12568,plain,
% 53.93/34.15 ((~v130(constB57, 2)) | v127(constB57, 2)),
% 53.93/34.15 inference(unit_resolution,[status(thm)],[12567, 1981, 12511])).
% 53.93/34.15 tff(12569,plain,
% 53.93/34.15 (v127(constB57, 2)),
% 53.93/34.15 inference(unit_resolution,[status(thm)],[12568, 12564])).
% 53.93/34.15 tff(12570,plain,
% 53.93/34.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB57, constB58)) | (~v127(constB57, 2)) | v129(constB58, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB57, constB58)) | (~v127(constB57, 2)) | v129(constB58, 2))),
% 53.93/34.15 inference(rewrite,[status(thm)],[])).
% 53.93/34.15 tff(12571,plain,
% 53.93/34.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB57, constB58)) | (~v127(constB57, 2)) | v129(constB58, 2))),
% 53.93/34.15 inference(quant_inst,[status(thm)],[])).
% 53.93/34.15 tff(12572,plain,
% 53.93/34.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB57, constB58)) | (~v127(constB57, 2)) | v129(constB58, 2)),
% 53.93/34.15 inference(modus_ponens,[status(thm)],[12571, 12570])).
% 53.93/34.15 tff(12573,plain,
% 53.93/34.15 ((~v127(constB57, 2)) | v129(constB58, 2)),
% 53.93/34.15 inference(unit_resolution,[status(thm)],[12572, 1999, 12529])).
% 53.93/34.15 tff(12574,plain,
% 53.93/34.15 (v129(constB58, 2)),
% 53.93/34.15 inference(unit_resolution,[status(thm)],[12573, 12569])).
% 53.93/34.15 tff(12575,plain,
% 53.93/34.15 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB58, 2) | (~v129(constB58, 2)) | (~v100(constB58)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB58, 2) | (~v129(constB58, 2)) | (~v100(constB58)))),
% 53.93/34.15 inference(rewrite,[status(thm)],[])).
% 53.93/34.15 tff(12576,plain,
% 53.93/34.15 ((v90(constB58, 2) | (~v100(constB58)) | (~v129(constB58, 2))) <=> (v90(constB58, 2) | (~v129(constB58, 2)) | (~v100(constB58)))),
% 53.93/34.15 inference(rewrite,[status(thm)],[])).
% 53.93/34.15 tff(12577,plain,
% 53.93/34.15 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB58, 2) | (~v100(constB58)) | (~v129(constB58, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB58, 2) | (~v129(constB58, 2)) | (~v100(constB58))))),
% 53.93/34.15 inference(monotonicity,[status(thm)],[12576])).
% 53.93/34.15 tff(12578,plain,
% 53.93/34.15 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB58, 2) | (~v100(constB58)) | (~v129(constB58, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB58, 2) | (~v129(constB58, 2)) | (~v100(constB58)))),
% 53.93/34.15 inference(transitivity,[status(thm)],[12577, 12575])).
% 53.93/34.15 tff(12579,plain,
% 53.93/34.15 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB58, 2) | (~v100(constB58)) | (~v129(constB58, 2)))),
% 53.93/34.15 inference(quant_inst,[status(thm)],[])).
% 53.93/34.15 tff(12580,plain,
% 53.93/34.15 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB58, 2) | (~v129(constB58, 2)) | (~v100(constB58))),
% 53.93/34.15 inference(modus_ponens,[status(thm)],[12579, 12578])).
% 53.93/34.15 tff(12581,plain,
% 53.93/34.15 (v90(constB58, 2) | (~v100(constB58))),
% 53.93/34.15 inference(unit_resolution,[status(thm)],[12580, 2324, 12574])).
% 53.93/34.15 tff(12582,plain,
% 53.93/34.15 (v90(constB58, 2)),
% 53.93/34.15 inference(unit_resolution,[status(thm)],[12581, 12560])).
% 53.93/34.15 tff(12583,plain,
% 53.93/34.15 ((~v1(constB59)) <=> (~v1(constB59))),
% 53.93/34.15 inference(rewrite,[status(thm)],[])).
% 53.93/34.15 tff(12584,axiom,(~v1(constB59)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_59_1_1')).
% 53.93/34.15 tff(12585,plain,
% 53.93/34.15 (~v1(constB59)),
% 53.93/34.15 inference(modus_ponens,[status(thm)],[12584, 12583])).
% 53.93/34.15 tff(12586,plain,
% 53.93/34.15 (nextState(constB58, constB59) <=> nextState(constB58, constB59)),
% 53.93/34.15 inference(rewrite,[status(thm)],[])).
% 53.93/34.15 tff(12587,axiom,(nextState(constB58, constB59)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_58_1')).
% 53.93/34.15 tff(12588,plain,
% 53.93/34.15 (nextState(constB58, constB59)),
% 53.93/34.15 inference(modus_ponens,[status(thm)],[12587, 12586])).
% 53.93/34.15 tff(12589,plain,
% 53.93/34.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59)))),
% 53.93/34.15 inference(rewrite,[status(thm)],[])).
% 53.93/34.15 tff(12590,plain,
% 53.93/34.15 (((~nextState(constB58, constB59)) | (~v101(constB59)) | v1(constB59)) <=> (v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59)))),
% 53.93/34.15 inference(rewrite,[status(thm)],[])).
% 53.93/34.15 tff(12591,plain,
% 53.93/34.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB58, constB59)) | (~v101(constB59)) | v1(constB59))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59))))),
% 53.93/34.15 inference(monotonicity,[status(thm)],[12590])).
% 53.93/34.15 tff(12592,plain,
% 53.93/34.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB58, constB59)) | (~v101(constB59)) | v1(constB59))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59)))),
% 53.93/34.15 inference(transitivity,[status(thm)],[12591, 12589])).
% 53.93/34.15 tff(12593,plain,
% 53.93/34.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB58, constB59)) | (~v101(constB59)) | v1(constB59))),
% 53.93/34.15 inference(quant_inst,[status(thm)],[])).
% 53.93/34.15 tff(12594,plain,
% 53.93/34.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB59) | (~nextState(constB58, constB59)) | (~v101(constB59))),
% 53.93/34.15 inference(modus_ponens,[status(thm)],[12593, 12592])).
% 53.93/34.15 tff(12595,plain,
% 53.93/34.15 (~v101(constB59)),
% 53.93/34.15 inference(unit_resolution,[status(thm)],[12594, 873, 12588, 12585])).
% 53.93/34.15 tff(12596,plain,
% 53.93/34.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB58, constB59)) | v101(constB59) | (~v100(constB59)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB58, constB59)) | v101(constB59) | (~v100(constB59)))),
% 53.93/34.15 inference(rewrite,[status(thm)],[])).
% 53.93/34.15 tff(12597,plain,
% 53.93/34.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB58, constB59)) | v101(constB59) | (~v100(constB59)))),
% 53.93/34.15 inference(quant_inst,[status(thm)],[])).
% 53.93/34.15 tff(12598,plain,
% 53.93/34.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB58, constB59)) | v101(constB59) | (~v100(constB59))),
% 53.93/34.15 inference(modus_ponens,[status(thm)],[12597, 12596])).
% 53.93/34.15 tff(12599,plain,
% 53.93/34.15 (v101(constB59) | (~v100(constB59))),
% 53.93/34.15 inference(unit_resolution,[status(thm)],[12598, 890, 12588])).
% 53.93/34.15 tff(12600,plain,
% 53.93/34.15 (~v100(constB59)),
% 53.93/34.15 inference(unit_resolution,[status(thm)],[12599, 12595])).
% 53.93/34.15 tff(12601,plain,
% 53.93/34.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB58, 2)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB58, 2)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, 2))),
% 53.93/34.15 inference(rewrite,[status(thm)],[])).
% 53.93/34.15 tff(12602,plain,
% 53.93/34.15 (((~nextState(constB58, constB59)) | (~v90(constB58, 2)) | v100(constB59) | v90(constB59, 2)) <=> ((~v90(constB58, 2)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, 2))),
% 53.93/34.15 inference(rewrite,[status(thm)],[])).
% 53.93/34.15 tff(12603,plain,
% 53.93/34.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB58, constB59)) | (~v90(constB58, 2)) | v100(constB59) | v90(constB59, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB58, 2)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, 2)))),
% 53.93/34.15 inference(monotonicity,[status(thm)],[12602])).
% 53.93/34.15 tff(12604,plain,
% 53.93/34.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB58, constB59)) | (~v90(constB58, 2)) | v100(constB59) | v90(constB59, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB58, 2)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, 2))),
% 53.93/34.15 inference(transitivity,[status(thm)],[12603, 12601])).
% 53.93/34.15 tff(12605,plain,
% 53.93/34.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB58, constB59)) | (~v90(constB58, 2)) | v100(constB59) | v90(constB59, 2))),
% 53.93/34.15 inference(quant_inst,[status(thm)],[])).
% 53.93/34.15 tff(12606,plain,
% 53.93/34.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB58, 2)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, 2)),
% 53.93/34.15 inference(modus_ponens,[status(thm)],[12605, 12604])).
% 53.93/34.15 tff(12607,plain,
% 53.93/34.15 ((~v90(constB58, 2)) | v100(constB59) | v90(constB59, 2)),
% 53.93/34.15 inference(unit_resolution,[status(thm)],[12606, 2174, 12588])).
% 53.93/34.15 tff(12608,plain,
% 53.93/34.15 ((~v90(constB58, 2)) | v90(constB59, 2)),
% 53.93/34.15 inference(unit_resolution,[status(thm)],[12607, 12600])).
% 53.93/34.15 tff(12609,plain,
% 53.93/34.15 (v90(constB59, 2)),
% 53.93/34.15 inference(unit_resolution,[status(thm)],[12608, 12582])).
% 53.93/34.15 tff(12610,plain,
% 53.93/34.15 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB57)) | (~v130(constB57, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB57)) | (~v130(constB57, 1)))),
% 53.93/34.15 inference(rewrite,[status(thm)],[])).
% 53.93/34.15 tff(12611,plain,
% 53.93/34.15 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB57)) | (~v130(constB57, 1)))),
% 53.93/34.15 inference(quant_inst,[status(thm)],[])).
% 53.93/34.15 tff(12612,plain,
% 53.93/34.15 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB57)) | (~v130(constB57, 1))),
% 53.93/34.15 inference(modus_ponens,[status(thm)],[12611, 12610])).
% 53.93/34.15 tff(12613,plain,
% 53.93/34.15 (~v130(constB57, 1)),
% 53.93/34.15 inference(unit_resolution,[status(thm)],[12612, 2581, 12486])).
% 53.93/34.15 tff(12614,plain,
% 53.93/34.15 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB57, 1)) | v26(constB57) | v130(constB57, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB57, 1)) | v26(constB57) | v130(constB57, 1))),
% 53.93/34.15 inference(rewrite,[status(thm)],[])).
% 53.93/34.15 tff(12615,plain,
% 53.93/34.15 ((v26(constB57) | v130(constB57, 1) | (~v127(constB57, 1))) <=> ((~v127(constB57, 1)) | v26(constB57) | v130(constB57, 1))),
% 53.93/34.15 inference(rewrite,[status(thm)],[])).
% 53.93/34.15 tff(12616,plain,
% 53.93/34.15 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB57) | v130(constB57, 1) | (~v127(constB57, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB57, 1)) | v26(constB57) | v130(constB57, 1)))),
% 53.93/34.15 inference(monotonicity,[status(thm)],[12615])).
% 53.93/34.15 tff(12617,plain,
% 53.93/34.15 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB57) | v130(constB57, 1) | (~v127(constB57, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB57, 1)) | v26(constB57) | v130(constB57, 1))),
% 53.93/34.15 inference(transitivity,[status(thm)],[12616, 12614])).
% 53.93/34.15 tff(12618,plain,
% 53.93/34.15 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB57) | v130(constB57, 1) | (~v127(constB57, 1)))),
% 53.93/34.15 inference(quant_inst,[status(thm)],[])).
% 53.93/34.15 tff(12619,plain,
% 53.93/34.15 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB57, 1)) | v26(constB57) | v130(constB57, 1)),
% 53.93/34.15 inference(modus_ponens,[status(thm)],[12618, 12617])).
% 53.93/34.15 tff(12620,plain,
% 53.93/34.15 ((~v127(constB57, 1)) | v130(constB57, 1)),
% 53.93/34.15 inference(unit_resolution,[status(thm)],[12619, 1276, 12511])).
% 53.93/34.15 tff(12621,plain,
% 53.93/34.15 (~v127(constB57, 1)),
% 53.93/34.15 inference(unit_resolution,[status(thm)],[12620, 12613])).
% 53.93/34.15 tff(12622,plain,
% 53.93/34.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB57, constB58)) | v127(constB57, 1) | (~v129(constB58, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB57, constB58)) | v127(constB57, 1) | (~v129(constB58, 1)))),
% 53.93/34.15 inference(rewrite,[status(thm)],[])).
% 53.93/34.15 tff(12623,plain,
% 53.93/34.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB57, constB58)) | v127(constB57, 1) | (~v129(constB58, 1)))),
% 53.93/34.15 inference(quant_inst,[status(thm)],[])).
% 53.93/34.15 tff(12624,plain,
% 53.93/34.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB57, constB58)) | v127(constB57, 1) | (~v129(constB58, 1))),
% 53.93/34.15 inference(modus_ponens,[status(thm)],[12623, 12622])).
% 53.93/34.15 tff(12625,plain,
% 53.93/34.15 (v127(constB57, 1) | (~v129(constB58, 1))),
% 53.93/34.15 inference(unit_resolution,[status(thm)],[12624, 1294, 12529])).
% 53.93/34.15 tff(12626,plain,
% 53.93/34.15 (~v129(constB58, 1)),
% 53.93/34.15 inference(unit_resolution,[status(thm)],[12625, 12621])).
% 53.93/34.15 tff(12627,plain,
% 53.93/34.15 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB58, 1)) | v129(constB58, 1) | (~v100(constB58)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB58, 1)) | v129(constB58, 1) | (~v100(constB58)))),
% 53.93/34.15 inference(rewrite,[status(thm)],[])).
% 53.93/34.15 tff(12628,plain,
% 53.93/34.15 (((~v90(constB58, 1)) | (~v100(constB58)) | v129(constB58, 1)) <=> ((~v90(constB58, 1)) | v129(constB58, 1) | (~v100(constB58)))),
% 53.93/34.15 inference(rewrite,[status(thm)],[])).
% 53.93/34.15 tff(12629,plain,
% 53.93/34.15 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB58, 1)) | (~v100(constB58)) | v129(constB58, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB58, 1)) | v129(constB58, 1) | (~v100(constB58))))),
% 53.93/34.15 inference(monotonicity,[status(thm)],[12628])).
% 53.93/34.15 tff(12630,plain,
% 53.93/34.15 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB58, 1)) | (~v100(constB58)) | v129(constB58, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB58, 1)) | v129(constB58, 1) | (~v100(constB58)))),
% 53.93/34.15 inference(transitivity,[status(thm)],[12629, 12627])).
% 53.93/34.15 tff(12631,plain,
% 53.93/34.15 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB58, 1)) | (~v100(constB58)) | v129(constB58, 1))),
% 53.93/34.15 inference(quant_inst,[status(thm)],[])).
% 53.93/34.15 tff(12632,plain,
% 53.93/34.15 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB58, 1)) | v129(constB58, 1) | (~v100(constB58))),
% 53.93/34.15 inference(modus_ponens,[status(thm)],[12631, 12630])).
% 53.93/34.15 tff(12633,plain,
% 53.93/34.15 ((~v90(constB58, 1)) | (~v100(constB58))),
% 53.93/34.15 inference(unit_resolution,[status(thm)],[12632, 1309, 12626])).
% 53.93/34.15 tff(12634,plain,
% 53.93/34.15 (~v90(constB58, 1)),
% 53.93/34.15 inference(unit_resolution,[status(thm)],[12633, 12560])).
% 53.93/34.15 tff(12635,plain,
% 53.93/34.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB58, 1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB58, 1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, 1)))),
% 53.93/34.15 inference(rewrite,[status(thm)],[])).
% 53.93/34.15 tff(12636,plain,
% 53.93/34.15 (((~nextState(constB58, constB59)) | v90(constB58, 1) | v100(constB59) | (~v90(constB59, 1))) <=> (v90(constB58, 1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, 1)))),
% 53.93/34.15 inference(rewrite,[status(thm)],[])).
% 53.93/34.15 tff(12637,plain,
% 53.93/34.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB58, constB59)) | v90(constB58, 1) | v100(constB59) | (~v90(constB59, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB58, 1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, 1))))),
% 53.93/34.15 inference(monotonicity,[status(thm)],[12636])).
% 53.93/34.15 tff(12638,plain,
% 53.93/34.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB58, constB59)) | v90(constB58, 1) | v100(constB59) | (~v90(constB59, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB58, 1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, 1)))),
% 53.93/34.15 inference(transitivity,[status(thm)],[12637, 12635])).
% 53.93/34.15 tff(12639,plain,
% 53.93/34.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB58, constB59)) | v90(constB58, 1) | v100(constB59) | (~v90(constB59, 1)))),
% 53.93/34.15 inference(quant_inst,[status(thm)],[])).
% 53.93/34.15 tff(12640,plain,
% 53.93/34.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB58, 1) | (~nextState(constB58, constB59)) | v100(constB59) | (~v90(constB59, 1))),
% 53.93/34.15 inference(modus_ponens,[status(thm)],[12639, 12638])).
% 53.93/34.15 tff(12641,plain,
% 53.93/34.15 (v90(constB58, 1) | v100(constB59) | (~v90(constB59, 1))),
% 53.93/34.15 inference(unit_resolution,[status(thm)],[12640, 926, 12588])).
% 53.93/34.15 tff(12642,plain,
% 53.93/34.15 (v90(constB58, 1) | (~v90(constB59, 1))),
% 53.93/34.15 inference(unit_resolution,[status(thm)],[12641, 12600])).
% 53.93/34.15 tff(12643,plain,
% 53.93/34.15 (~v90(constB59, 1)),
% 53.93/34.15 inference(unit_resolution,[status(thm)],[12642, 12634])).
% 53.93/34.15 tff(12644,plain,
% 53.93/34.15 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB57)) | v130(constB57, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB57)) | v130(constB57, 0))),
% 53.93/34.15 inference(rewrite,[status(thm)],[])).
% 53.93/34.15 tff(12645,plain,
% 53.93/34.15 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB57)) | v130(constB57, 0))),
% 53.93/34.15 inference(quant_inst,[status(thm)],[])).
% 53.93/34.15 tff(12646,plain,
% 53.93/34.15 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB57)) | v130(constB57, 0)),
% 53.93/34.15 inference(modus_ponens,[status(thm)],[12645, 12644])).
% 53.93/34.15 tff(12647,plain,
% 53.93/34.15 (v130(constB57, 0)),
% 53.93/34.15 inference(unit_resolution,[status(thm)],[12646, 2622, 12486])).
% 53.93/34.15 tff(12648,plain,
% 53.93/34.15 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB57) | (~v130(constB57, 0)) | v127(constB57, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB57) | (~v130(constB57, 0)) | v127(constB57, 0))),
% 53.93/34.15 inference(rewrite,[status(thm)],[])).
% 53.93/34.15 tff(12649,plain,
% 53.93/34.15 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB57) | (~v130(constB57, 0)) | v127(constB57, 0))),
% 53.93/34.15 inference(quant_inst,[status(thm)],[])).
% 53.93/34.15 tff(12650,plain,
% 53.93/34.15 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB57) | (~v130(constB57, 0)) | v127(constB57, 0)),
% 53.93/34.15 inference(modus_ponens,[status(thm)],[12649, 12648])).
% 53.93/34.15 tff(12651,plain,
% 53.93/34.15 ((~v130(constB57, 0)) | v127(constB57, 0)),
% 53.93/34.15 inference(unit_resolution,[status(thm)],[12650, 1347, 12511])).
% 53.93/34.15 tff(12652,plain,
% 53.93/34.15 (v127(constB57, 0)),
% 53.93/34.15 inference(unit_resolution,[status(thm)],[12651, 12647])).
% 53.93/34.15 tff(12653,plain,
% 53.93/34.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB57, constB58)) | (~v127(constB57, 0)) | v129(constB58, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB57, constB58)) | (~v127(constB57, 0)) | v129(constB58, 0))),
% 53.93/34.15 inference(rewrite,[status(thm)],[])).
% 53.93/34.15 tff(12654,plain,
% 53.93/34.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB57, constB58)) | (~v127(constB57, 0)) | v129(constB58, 0))),
% 53.93/34.15 inference(quant_inst,[status(thm)],[])).
% 53.93/34.15 tff(12655,plain,
% 53.93/34.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB57, constB58)) | (~v127(constB57, 0)) | v129(constB58, 0)),
% 53.93/34.15 inference(modus_ponens,[status(thm)],[12654, 12653])).
% 53.93/34.15 tff(12656,plain,
% 53.93/34.15 ((~v127(constB57, 0)) | v129(constB58, 0)),
% 53.93/34.15 inference(unit_resolution,[status(thm)],[12655, 1362, 12529])).
% 53.93/34.15 tff(12657,plain,
% 53.93/34.15 (v129(constB58, 0)),
% 53.93/34.15 inference(unit_resolution,[status(thm)],[12656, 12652])).
% 53.93/34.15 tff(12658,plain,
% 53.93/34.15 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB58, 0) | (~v129(constB58, 0)) | (~v100(constB58)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB58, 0) | (~v129(constB58, 0)) | (~v100(constB58)))),
% 53.99/34.15 inference(rewrite,[status(thm)],[])).
% 53.99/34.15 tff(12659,plain,
% 53.99/34.15 ((v90(constB58, 0) | (~v100(constB58)) | (~v129(constB58, 0))) <=> (v90(constB58, 0) | (~v129(constB58, 0)) | (~v100(constB58)))),
% 53.99/34.15 inference(rewrite,[status(thm)],[])).
% 53.99/34.15 tff(12660,plain,
% 53.99/34.15 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB58, 0) | (~v100(constB58)) | (~v129(constB58, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB58, 0) | (~v129(constB58, 0)) | (~v100(constB58))))),
% 53.99/34.15 inference(monotonicity,[status(thm)],[12659])).
% 53.99/34.15 tff(12661,plain,
% 53.99/34.15 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB58, 0) | (~v100(constB58)) | (~v129(constB58, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB58, 0) | (~v129(constB58, 0)) | (~v100(constB58)))),
% 53.99/34.15 inference(transitivity,[status(thm)],[12660, 12658])).
% 53.99/34.15 tff(12662,plain,
% 53.99/34.15 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB58, 0) | (~v100(constB58)) | (~v129(constB58, 0)))),
% 53.99/34.15 inference(quant_inst,[status(thm)],[])).
% 53.99/34.15 tff(12663,plain,
% 53.99/34.15 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB58, 0) | (~v129(constB58, 0)) | (~v100(constB58))),
% 53.99/34.15 inference(modus_ponens,[status(thm)],[12662, 12661])).
% 53.99/34.15 tff(12664,plain,
% 53.99/34.15 (v90(constB58, 0) | (~v100(constB58))),
% 53.99/34.15 inference(unit_resolution,[status(thm)],[12663, 1377, 12657])).
% 53.99/34.15 tff(12665,plain,
% 53.99/34.15 (v90(constB58, 0)),
% 53.99/34.15 inference(unit_resolution,[status(thm)],[12664, 12560])).
% 53.99/34.15 tff(12666,plain,
% 53.99/34.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB58, 0)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB58, 0)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, 0))),
% 53.99/34.15 inference(rewrite,[status(thm)],[])).
% 53.99/34.15 tff(12667,plain,
% 53.99/34.15 (((~nextState(constB58, constB59)) | (~v90(constB58, 0)) | v100(constB59) | v90(constB59, 0)) <=> ((~v90(constB58, 0)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, 0))),
% 53.99/34.15 inference(rewrite,[status(thm)],[])).
% 53.99/34.15 tff(12668,plain,
% 53.99/34.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB58, constB59)) | (~v90(constB58, 0)) | v100(constB59) | v90(constB59, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB58, 0)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, 0)))),
% 53.99/34.15 inference(monotonicity,[status(thm)],[12667])).
% 53.99/34.15 tff(12669,plain,
% 53.99/34.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB58, constB59)) | (~v90(constB58, 0)) | v100(constB59) | v90(constB59, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB58, 0)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, 0))),
% 53.99/34.15 inference(transitivity,[status(thm)],[12668, 12666])).
% 53.99/34.15 tff(12670,plain,
% 53.99/34.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB58, constB59)) | (~v90(constB58, 0)) | v100(constB59) | v90(constB59, 0))),
% 53.99/34.15 inference(quant_inst,[status(thm)],[])).
% 53.99/34.15 tff(12671,plain,
% 53.99/34.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB58, 0)) | (~nextState(constB58, constB59)) | v100(constB59) | v90(constB59, 0)),
% 53.99/34.15 inference(modus_ponens,[status(thm)],[12670, 12669])).
% 53.99/34.15 tff(12672,plain,
% 53.99/34.15 ((~v90(constB58, 0)) | v100(constB59) | v90(constB59, 0)),
% 53.99/34.15 inference(unit_resolution,[status(thm)],[12671, 1395, 12588])).
% 53.99/34.15 tff(12673,plain,
% 53.99/34.15 ((~v90(constB58, 0)) | v90(constB59, 0)),
% 53.99/34.15 inference(unit_resolution,[status(thm)],[12672, 12600])).
% 53.99/34.15 tff(12674,plain,
% 53.99/34.15 (v90(constB59, 0)),
% 53.99/34.15 inference(unit_resolution,[status(thm)],[12673, 12665])).
% 53.99/34.15 tff(12675,plain,
% 53.99/34.15 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB59, 0)) | v90(constB59, 1) | (~v90(constB59, 2)) | v124(constB59))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB59, 0)) | v90(constB59, 1) | (~v90(constB59, 2)) | v124(constB59))),
% 53.99/34.15 inference(rewrite,[status(thm)],[])).
% 53.99/34.15 tff(12676,plain,
% 53.99/34.15 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB59, 0)) | v90(constB59, 1) | (~v90(constB59, 2)) | v124(constB59))),
% 53.99/34.15 inference(quant_inst,[status(thm)],[])).
% 53.99/34.15 tff(12677,plain,
% 53.99/34.15 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB59, 0)) | v90(constB59, 1) | (~v90(constB59, 2)) | v124(constB59)),
% 53.99/34.15 inference(modus_ponens,[status(thm)],[12676, 12675])).
% 53.99/34.15 tff(12678,plain,
% 53.99/34.15 (v124(constB59)),
% 53.99/34.15 inference(unit_resolution,[status(thm)],[12677, 2663, 12674, 12643, 12609])).
% 53.99/34.15 tff(12679,plain,
% 53.99/34.15 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB59)) | v114(constB59))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB59)) | v114(constB59))),
% 53.99/34.15 inference(rewrite,[status(thm)],[])).
% 53.99/34.15 tff(12680,plain,
% 53.99/34.15 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB59)) | v114(constB59))),
% 53.99/34.15 inference(quant_inst,[status(thm)],[])).
% 53.99/34.15 tff(12681,plain,
% 53.99/34.15 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB59)) | v114(constB59)),
% 53.99/34.15 inference(modus_ponens,[status(thm)],[12680, 12679])).
% 53.99/34.15 tff(12682,plain,
% 53.99/34.15 (v114(constB59)),
% 53.99/34.15 inference(unit_resolution,[status(thm)],[12681, 2674, 12678])).
% 53.99/34.15 tff(12683,plain,
% 53.99/34.15 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB59) | (~v114(constB59)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB59) | (~v114(constB59)))),
% 53.99/34.15 inference(rewrite,[status(thm)],[])).
% 53.99/34.15 tff(12684,plain,
% 53.99/34.15 (((~v114(constB59)) | v113(constB59)) <=> (v113(constB59) | (~v114(constB59)))),
% 53.99/34.15 inference(rewrite,[status(thm)],[])).
% 53.99/34.15 tff(12685,plain,
% 53.99/34.15 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB59)) | v113(constB59))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB59) | (~v114(constB59))))),
% 53.99/34.15 inference(monotonicity,[status(thm)],[12684])).
% 53.99/34.15 tff(12686,plain,
% 53.99/34.15 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB59)) | v113(constB59))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB59) | (~v114(constB59)))),
% 53.99/34.15 inference(transitivity,[status(thm)],[12685, 12683])).
% 53.99/34.15 tff(12687,plain,
% 53.99/34.15 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB59)) | v113(constB59))),
% 53.99/34.15 inference(quant_inst,[status(thm)],[])).
% 53.99/34.15 tff(12688,plain,
% 53.99/34.15 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB59) | (~v114(constB59))),
% 53.99/34.15 inference(modus_ponens,[status(thm)],[12687, 12686])).
% 53.99/34.15 tff(12689,plain,
% 53.99/34.15 (v113(constB59)),
% 53.99/34.15 inference(unit_resolution,[status(thm)],[12688, 1049, 12682])).
% 53.99/34.15 tff(12690,assumption,(v26(constB59)), introduced(assumption)).
% 53.99/34.15 tff(12691,plain,
% 53.99/34.15 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB59))),
% 53.99/34.15 inference(quant_inst,[status(thm)],[])).
% 53.99/34.15 tff(12692,plain,
% 53.99/34.15 ($false),
% 53.99/34.15 inference(unit_resolution,[status(thm)],[12691, 828, 12690])).
% 53.99/34.15 tff(12693,plain,(~v26(constB59)), inference(lemma,lemma(discharge,[]))).
% 53.99/34.15 tff(12694,plain,
% 53.99/34.15 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB59) | v112(constB59) | (~v113(constB59)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB59) | v112(constB59) | (~v113(constB59)))),
% 53.99/34.15 inference(rewrite,[status(thm)],[])).
% 53.99/34.15 tff(12695,plain,
% 53.99/34.15 ((v26(constB59) | (~v113(constB59)) | v112(constB59)) <=> (v26(constB59) | v112(constB59) | (~v113(constB59)))),
% 53.99/34.15 inference(rewrite,[status(thm)],[])).
% 53.99/34.15 tff(12696,plain,
% 53.99/34.15 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB59) | (~v113(constB59)) | v112(constB59))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB59) | v112(constB59) | (~v113(constB59))))),
% 53.99/34.15 inference(monotonicity,[status(thm)],[12695])).
% 53.99/34.15 tff(12697,plain,
% 53.99/34.15 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB59) | (~v113(constB59)) | v112(constB59))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB59) | v112(constB59) | (~v113(constB59)))),
% 53.99/34.15 inference(transitivity,[status(thm)],[12696, 12694])).
% 53.99/34.15 tff(12698,plain,
% 53.99/34.15 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB59) | (~v113(constB59)) | v112(constB59))),
% 53.99/34.15 inference(quant_inst,[status(thm)],[])).
% 53.99/34.15 tff(12699,plain,
% 53.99/34.15 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB59) | v112(constB59) | (~v113(constB59))),
% 53.99/34.15 inference(modus_ponens,[status(thm)],[12698, 12697])).
% 53.99/34.15 tff(12700,plain,
% 53.99/34.15 (v112(constB59) | (~v113(constB59))),
% 53.99/34.15 inference(unit_resolution,[status(thm)],[12699, 1063, 12693])).
% 53.99/34.15 tff(12701,plain,
% 53.99/34.15 (v112(constB59)),
% 53.99/34.15 inference(unit_resolution,[status(thm)],[12700, 12689])).
% 53.99/34.15 tff(12702,plain,
% 53.99/34.15 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB59) | (~v112(constB59)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB59) | (~v112(constB59)))),
% 53.99/34.16 inference(rewrite,[status(thm)],[])).
% 53.99/34.16 tff(12703,plain,
% 53.99/34.16 (((~v112(constB59)) | v108(constB59)) <=> (v108(constB59) | (~v112(constB59)))),
% 53.99/34.16 inference(rewrite,[status(thm)],[])).
% 53.99/34.16 tff(12704,plain,
% 53.99/34.16 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB59)) | v108(constB59))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB59) | (~v112(constB59))))),
% 53.99/34.16 inference(monotonicity,[status(thm)],[12703])).
% 53.99/34.16 tff(12705,plain,
% 53.99/34.16 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB59)) | v108(constB59))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB59) | (~v112(constB59)))),
% 53.99/34.16 inference(transitivity,[status(thm)],[12704, 12702])).
% 53.99/34.16 tff(12706,plain,
% 53.99/34.16 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB59)) | v108(constB59))),
% 53.99/34.16 inference(quant_inst,[status(thm)],[])).
% 53.99/34.16 tff(12707,plain,
% 53.99/34.16 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB59) | (~v112(constB59))),
% 53.99/34.16 inference(modus_ponens,[status(thm)],[12706, 12705])).
% 53.99/34.16 tff(12708,plain,
% 53.99/34.16 (v108(constB59)),
% 53.99/34.16 inference(unit_resolution,[status(thm)],[12707, 1075, 12701])).
% 53.99/34.16 tff(12709,plain,
% 53.99/34.16 (nextState(constB59, constB60) <=> nextState(constB59, constB60)),
% 53.99/34.16 inference(rewrite,[status(thm)],[])).
% 53.99/34.16 tff(12710,axiom,(nextState(constB59, constB60)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_59_1')).
% 53.99/34.16 tff(12711,plain,
% 53.99/34.16 (nextState(constB59, constB60)),
% 53.99/34.16 inference(modus_ponens,[status(thm)],[12710, 12709])).
% 53.99/34.16 tff(12712,plain,
% 53.99/34.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59)))),
% 53.99/34.16 inference(rewrite,[status(thm)],[])).
% 53.99/34.16 tff(12713,plain,
% 53.99/34.16 (((~nextState(constB59, constB60)) | (~v108(constB59)) | v110(constB60)) <=> ((~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59)))),
% 53.99/34.16 inference(rewrite,[status(thm)],[])).
% 53.99/34.16 tff(12714,plain,
% 53.99/34.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB59, constB60)) | (~v108(constB59)) | v110(constB60))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59))))),
% 53.99/34.16 inference(monotonicity,[status(thm)],[12713])).
% 53.99/34.16 tff(12715,plain,
% 53.99/34.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB59, constB60)) | (~v108(constB59)) | v110(constB60))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59)))),
% 53.99/34.16 inference(transitivity,[status(thm)],[12714, 12712])).
% 53.99/34.16 tff(12716,plain,
% 53.99/34.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB59, constB60)) | (~v108(constB59)) | v110(constB60))),
% 53.99/34.16 inference(quant_inst,[status(thm)],[])).
% 53.99/34.16 tff(12717,plain,
% 53.99/34.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB59, constB60)) | v110(constB60) | (~v108(constB59))),
% 53.99/34.16 inference(modus_ponens,[status(thm)],[12716, 12715])).
% 53.99/34.16 tff(12718,plain,
% 53.99/34.16 (v110(constB60) | (~v108(constB59))),
% 53.99/34.16 inference(unit_resolution,[status(thm)],[12717, 1095, 12711])).
% 53.99/34.16 tff(12719,plain,
% 53.99/34.16 (v110(constB60)),
% 53.99/34.16 inference(unit_resolution,[status(thm)],[12718, 12708])).
% 53.99/34.16 tff(12720,plain,
% 53.99/34.16 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB59) | (~nextState(constB59, constB60)) | (~v104(constB60)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB59) | (~nextState(constB59, constB60)) | (~v104(constB60)))),
% 53.99/34.16 inference(rewrite,[status(thm)],[])).
% 53.99/34.16 tff(12721,plain,
% 53.99/34.16 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB59) | (~nextState(constB59, constB60)) | (~v104(constB60)))),
% 53.99/34.16 inference(quant_inst,[status(thm)],[])).
% 53.99/34.16 tff(12722,plain,
% 53.99/34.16 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB59) | (~nextState(constB59, constB60)) | (~v104(constB60))),
% 53.99/34.16 inference(modus_ponens,[status(thm)],[12721, 12720])).
% 53.99/34.16 tff(12723,plain,
% 53.99/34.16 (~v104(constB60)),
% 53.99/34.16 inference(unit_resolution,[status(thm)],[12722, 1113, 12711, 12585])).
% 53.99/34.16 tff(12724,plain,
% 53.99/34.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB59, constB60)) | v102(constB60) | v104(constB60))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB59, constB60)) | v102(constB60) | v104(constB60))),
% 53.99/34.16 inference(rewrite,[status(thm)],[])).
% 53.99/34.16 tff(12725,plain,
% 53.99/34.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB59, constB60)) | v102(constB60) | v104(constB60))),
% 53.99/34.16 inference(quant_inst,[status(thm)],[])).
% 53.99/34.16 tff(12726,plain,
% 53.99/34.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB59, constB60)) | v102(constB60) | v104(constB60)),
% 53.99/34.16 inference(modus_ponens,[status(thm)],[12725, 12724])).
% 53.99/34.16 tff(12727,plain,
% 53.99/34.16 (v102(constB60) | v104(constB60)),
% 53.99/34.16 inference(unit_resolution,[status(thm)],[12726, 1127, 12711])).
% 53.99/34.16 tff(12728,plain,
% 53.99/34.16 (v102(constB60)),
% 53.99/34.16 inference(unit_resolution,[status(thm)],[12727, 12723])).
% 53.99/34.16 tff(12729,plain,
% 53.99/34.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB59, constB60)) | v101(constB60) | (~v102(constB60)) | (~v1(constB60)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB59, constB60)) | v101(constB60) | (~v102(constB60)) | (~v1(constB60)))),
% 53.99/34.16 inference(rewrite,[status(thm)],[])).
% 53.99/34.16 tff(12730,plain,
% 53.99/34.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB59, constB60)) | v101(constB60) | (~v102(constB60)) | (~v1(constB60)))),
% 53.99/34.16 inference(quant_inst,[status(thm)],[])).
% 53.99/34.16 tff(12731,plain,
% 53.99/34.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB59, constB60)) | v101(constB60) | (~v102(constB60)) | (~v1(constB60))),
% 53.99/34.16 inference(modus_ponens,[status(thm)],[12730, 12729])).
% 53.99/34.16 tff(12732,plain,
% 53.99/34.16 (v101(constB60) | (~v102(constB60))),
% 53.99/34.16 inference(unit_resolution,[status(thm)],[12731, 1145, 12711, 508])).
% 53.99/34.16 tff(12733,plain,
% 53.99/34.16 (v101(constB60)),
% 53.99/34.16 inference(unit_resolution,[status(thm)],[12732, 12728])).
% 53.99/34.16 tff(12734,plain,
% 53.99/34.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60)))),
% 53.99/34.16 inference(rewrite,[status(thm)],[])).
% 53.99/34.16 tff(12735,plain,
% 53.99/34.16 (((~nextState(constB59, constB60)) | (~v101(constB60)) | (~v110(constB60)) | v100(constB60)) <=> ((~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60)))),
% 53.99/34.16 inference(rewrite,[status(thm)],[])).
% 53.99/34.16 tff(12736,plain,
% 53.99/34.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB59, constB60)) | (~v101(constB60)) | (~v110(constB60)) | v100(constB60))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60))))),
% 53.99/34.16 inference(monotonicity,[status(thm)],[12735])).
% 53.99/34.16 tff(12737,plain,
% 53.99/34.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB59, constB60)) | (~v101(constB60)) | (~v110(constB60)) | v100(constB60))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60)))),
% 53.99/34.16 inference(transitivity,[status(thm)],[12736, 12734])).
% 53.99/34.16 tff(12738,plain,
% 53.99/34.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB59, constB60)) | (~v101(constB60)) | (~v110(constB60)) | v100(constB60))),
% 53.99/34.16 inference(quant_inst,[status(thm)],[])).
% 53.99/34.16 tff(12739,plain,
% 53.99/34.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB59, constB60)) | v100(constB60) | (~v101(constB60)) | (~v110(constB60))),
% 53.99/34.16 inference(modus_ponens,[status(thm)],[12738, 12737])).
% 53.99/34.16 tff(12740,plain,
% 54.00/34.16 (v100(constB60) | (~v101(constB60)) | (~v110(constB60))),
% 54.00/34.16 inference(unit_resolution,[status(thm)],[12739, 1160, 12711])).
% 54.00/34.16 tff(12741,plain,
% 54.00/34.16 (v100(constB60) | (~v110(constB60))),
% 54.00/34.16 inference(unit_resolution,[status(thm)],[12740, 12733])).
% 54.00/34.16 tff(12742,plain,
% 54.00/34.16 (v100(constB60)),
% 54.00/34.16 inference(unit_resolution,[status(thm)],[12741, 12719])).
% 54.00/34.16 tff(12743,plain,
% 54.00/34.16 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB59)) | v130(constB59, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB59)) | v130(constB59, 2))),
% 54.00/34.16 inference(rewrite,[status(thm)],[])).
% 54.00/34.16 tff(12744,plain,
% 54.00/34.16 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB59)) | v130(constB59, 2))),
% 54.00/34.16 inference(quant_inst,[status(thm)],[])).
% 54.00/34.16 tff(12745,plain,
% 54.00/34.16 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB59)) | v130(constB59, 2)),
% 54.00/34.16 inference(modus_ponens,[status(thm)],[12744, 12743])).
% 54.00/34.16 tff(12746,plain,
% 54.00/34.16 (v130(constB59, 2)),
% 54.00/34.16 inference(unit_resolution,[status(thm)],[12745, 2741, 12678])).
% 54.00/34.16 tff(12747,plain,
% 54.00/34.16 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB59) | (~v130(constB59, 2)) | v127(constB59, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB59) | (~v130(constB59, 2)) | v127(constB59, 2))),
% 54.00/34.16 inference(rewrite,[status(thm)],[])).
% 54.00/34.16 tff(12748,plain,
% 54.00/34.16 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB59) | (~v130(constB59, 2)) | v127(constB59, 2))),
% 54.00/34.16 inference(quant_inst,[status(thm)],[])).
% 54.00/34.16 tff(12749,plain,
% 54.00/34.16 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB59) | (~v130(constB59, 2)) | v127(constB59, 2)),
% 54.00/34.16 inference(modus_ponens,[status(thm)],[12748, 12747])).
% 54.00/34.16 tff(12750,plain,
% 54.00/34.16 ((~v130(constB59, 2)) | v127(constB59, 2)),
% 54.00/34.16 inference(unit_resolution,[status(thm)],[12749, 1981, 12693])).
% 54.00/34.16 tff(12751,plain,
% 54.00/34.16 (v127(constB59, 2)),
% 54.00/34.16 inference(unit_resolution,[status(thm)],[12750, 12746])).
% 54.00/34.16 tff(12752,plain,
% 54.00/34.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB59, constB60)) | (~v127(constB59, 2)) | v129(constB60, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB59, constB60)) | (~v127(constB59, 2)) | v129(constB60, 2))),
% 54.00/34.16 inference(rewrite,[status(thm)],[])).
% 54.00/34.16 tff(12753,plain,
% 54.00/34.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB59, constB60)) | (~v127(constB59, 2)) | v129(constB60, 2))),
% 54.00/34.16 inference(quant_inst,[status(thm)],[])).
% 54.00/34.16 tff(12754,plain,
% 54.00/34.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB59, constB60)) | (~v127(constB59, 2)) | v129(constB60, 2)),
% 54.00/34.16 inference(modus_ponens,[status(thm)],[12753, 12752])).
% 54.00/34.16 tff(12755,plain,
% 54.00/34.16 ((~v127(constB59, 2)) | v129(constB60, 2)),
% 54.00/34.16 inference(unit_resolution,[status(thm)],[12754, 1999, 12711])).
% 54.00/34.16 tff(12756,plain,
% 54.00/34.16 (v129(constB60, 2)),
% 54.00/34.16 inference(unit_resolution,[status(thm)],[12755, 12751])).
% 54.00/34.16 tff(12757,plain,
% 54.00/34.16 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB60, 2) | (~v129(constB60, 2)) | (~v100(constB60)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB60, 2) | (~v129(constB60, 2)) | (~v100(constB60)))),
% 54.00/34.16 inference(rewrite,[status(thm)],[])).
% 54.00/34.16 tff(12758,plain,
% 54.00/34.16 ((v90(constB60, 2) | (~v100(constB60)) | (~v129(constB60, 2))) <=> (v90(constB60, 2) | (~v129(constB60, 2)) | (~v100(constB60)))),
% 54.00/34.16 inference(rewrite,[status(thm)],[])).
% 54.00/34.16 tff(12759,plain,
% 54.00/34.16 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB60, 2) | (~v100(constB60)) | (~v129(constB60, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB60, 2) | (~v129(constB60, 2)) | (~v100(constB60))))),
% 54.00/34.16 inference(monotonicity,[status(thm)],[12758])).
% 54.00/34.16 tff(12760,plain,
% 54.00/34.16 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB60, 2) | (~v100(constB60)) | (~v129(constB60, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB60, 2) | (~v129(constB60, 2)) | (~v100(constB60)))),
% 54.00/34.16 inference(transitivity,[status(thm)],[12759, 12757])).
% 54.00/34.16 tff(12761,plain,
% 54.00/34.16 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB60, 2) | (~v100(constB60)) | (~v129(constB60, 2)))),
% 54.00/34.16 inference(quant_inst,[status(thm)],[])).
% 54.00/34.16 tff(12762,plain,
% 54.00/34.16 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB60, 2) | (~v129(constB60, 2)) | (~v100(constB60))),
% 54.00/34.16 inference(modus_ponens,[status(thm)],[12761, 12760])).
% 54.00/34.16 tff(12763,plain,
% 54.00/34.16 (v90(constB60, 2) | (~v100(constB60))),
% 54.00/34.16 inference(unit_resolution,[status(thm)],[12762, 2324, 12756])).
% 54.00/34.16 tff(12764,plain,
% 54.00/34.16 (v90(constB60, 2)),
% 54.00/34.16 inference(unit_resolution,[status(thm)],[12763, 12742])).
% 54.00/34.16 tff(12765,plain,
% 54.00/34.16 ((~v1(constB61)) <=> (~v1(constB61))),
% 54.00/34.16 inference(rewrite,[status(thm)],[])).
% 54.00/34.16 tff(12766,axiom,(~v1(constB61)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_61_1_1')).
% 54.00/34.16 tff(12767,plain,
% 54.00/34.16 (~v1(constB61)),
% 54.00/34.16 inference(modus_ponens,[status(thm)],[12766, 12765])).
% 54.00/34.16 tff(12768,plain,
% 54.00/34.16 (nextState(constB60, constB61) <=> nextState(constB60, constB61)),
% 54.00/34.16 inference(rewrite,[status(thm)],[])).
% 54.00/34.16 tff(12769,axiom,(nextState(constB60, constB61)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_60_1')).
% 54.00/34.16 tff(12770,plain,
% 54.00/34.16 (nextState(constB60, constB61)),
% 54.00/34.16 inference(modus_ponens,[status(thm)],[12769, 12768])).
% 54.00/34.16 tff(12771,plain,
% 54.00/34.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61)))),
% 54.00/34.16 inference(rewrite,[status(thm)],[])).
% 54.00/34.16 tff(12772,plain,
% 54.00/34.16 (((~nextState(constB60, constB61)) | (~v101(constB61)) | v1(constB61)) <=> (v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61)))),
% 54.00/34.16 inference(rewrite,[status(thm)],[])).
% 54.00/34.16 tff(12773,plain,
% 54.00/34.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB60, constB61)) | (~v101(constB61)) | v1(constB61))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61))))),
% 54.00/34.16 inference(monotonicity,[status(thm)],[12772])).
% 54.00/34.16 tff(12774,plain,
% 54.00/34.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB60, constB61)) | (~v101(constB61)) | v1(constB61))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61)))),
% 54.00/34.16 inference(transitivity,[status(thm)],[12773, 12771])).
% 54.00/34.16 tff(12775,plain,
% 54.00/34.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB60, constB61)) | (~v101(constB61)) | v1(constB61))),
% 54.00/34.16 inference(quant_inst,[status(thm)],[])).
% 54.00/34.16 tff(12776,plain,
% 54.00/34.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB61) | (~nextState(constB60, constB61)) | (~v101(constB61))),
% 54.00/34.16 inference(modus_ponens,[status(thm)],[12775, 12774])).
% 54.00/34.16 tff(12777,plain,
% 54.00/34.16 (~v101(constB61)),
% 54.00/34.16 inference(unit_resolution,[status(thm)],[12776, 873, 12770, 12767])).
% 54.00/34.16 tff(12778,plain,
% 54.00/34.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB60, constB61)) | v101(constB61) | (~v100(constB61)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB60, constB61)) | v101(constB61) | (~v100(constB61)))),
% 54.00/34.16 inference(rewrite,[status(thm)],[])).
% 54.00/34.16 tff(12779,plain,
% 54.00/34.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB60, constB61)) | v101(constB61) | (~v100(constB61)))),
% 54.00/34.16 inference(quant_inst,[status(thm)],[])).
% 54.00/34.16 tff(12780,plain,
% 54.00/34.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB60, constB61)) | v101(constB61) | (~v100(constB61))),
% 54.00/34.16 inference(modus_ponens,[status(thm)],[12779, 12778])).
% 54.00/34.16 tff(12781,plain,
% 54.00/34.16 (v101(constB61) | (~v100(constB61))),
% 54.00/34.16 inference(unit_resolution,[status(thm)],[12780, 890, 12770])).
% 54.00/34.16 tff(12782,plain,
% 54.00/34.16 (~v100(constB61)),
% 54.00/34.16 inference(unit_resolution,[status(thm)],[12781, 12777])).
% 54.00/34.16 tff(12783,plain,
% 54.00/34.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB60, 2)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB60, 2)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, 2))),
% 54.00/34.16 inference(rewrite,[status(thm)],[])).
% 54.00/34.16 tff(12784,plain,
% 54.00/34.16 (((~nextState(constB60, constB61)) | (~v90(constB60, 2)) | v100(constB61) | v90(constB61, 2)) <=> ((~v90(constB60, 2)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, 2))),
% 54.00/34.16 inference(rewrite,[status(thm)],[])).
% 54.00/34.16 tff(12785,plain,
% 54.00/34.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB60, constB61)) | (~v90(constB60, 2)) | v100(constB61) | v90(constB61, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB60, 2)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, 2)))),
% 54.00/34.16 inference(monotonicity,[status(thm)],[12784])).
% 54.00/34.16 tff(12786,plain,
% 54.00/34.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB60, constB61)) | (~v90(constB60, 2)) | v100(constB61) | v90(constB61, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB60, 2)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, 2))),
% 54.00/34.16 inference(transitivity,[status(thm)],[12785, 12783])).
% 54.00/34.16 tff(12787,plain,
% 54.00/34.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB60, constB61)) | (~v90(constB60, 2)) | v100(constB61) | v90(constB61, 2))),
% 54.00/34.16 inference(quant_inst,[status(thm)],[])).
% 54.00/34.16 tff(12788,plain,
% 54.00/34.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB60, 2)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, 2)),
% 54.00/34.16 inference(modus_ponens,[status(thm)],[12787, 12786])).
% 54.00/34.16 tff(12789,plain,
% 54.00/34.16 ((~v90(constB60, 2)) | v100(constB61) | v90(constB61, 2)),
% 54.00/34.16 inference(unit_resolution,[status(thm)],[12788, 2174, 12770])).
% 54.00/34.16 tff(12790,plain,
% 54.00/34.16 ((~v90(constB60, 2)) | v90(constB61, 2)),
% 54.00/34.16 inference(unit_resolution,[status(thm)],[12789, 12782])).
% 54.00/34.16 tff(12791,plain,
% 54.00/34.16 (v90(constB61, 2)),
% 54.00/34.16 inference(unit_resolution,[status(thm)],[12790, 12764])).
% 54.00/34.16 tff(12792,plain,
% 54.00/34.16 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB59)) | v130(constB59, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB59)) | v130(constB59, 1))),
% 54.00/34.16 inference(rewrite,[status(thm)],[])).
% 54.00/34.16 tff(12793,plain,
% 54.00/34.16 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB59)) | v130(constB59, 1))),
% 54.00/34.16 inference(quant_inst,[status(thm)],[])).
% 54.00/34.16 tff(12794,plain,
% 54.00/34.16 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB59)) | v130(constB59, 1)),
% 54.00/34.16 inference(modus_ponens,[status(thm)],[12793, 12792])).
% 54.00/34.16 tff(12795,plain,
% 54.00/34.16 (v130(constB59, 1)),
% 54.00/34.16 inference(unit_resolution,[status(thm)],[12794, 2808, 12678])).
% 54.00/34.16 tff(12796,plain,
% 54.00/34.16 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB59) | (~v130(constB59, 1)) | v127(constB59, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB59) | (~v130(constB59, 1)) | v127(constB59, 1))),
% 54.00/34.16 inference(rewrite,[status(thm)],[])).
% 54.00/34.16 tff(12797,plain,
% 54.00/34.16 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB59) | (~v130(constB59, 1)) | v127(constB59, 1))),
% 54.00/34.16 inference(quant_inst,[status(thm)],[])).
% 54.00/34.16 tff(12798,plain,
% 54.00/34.16 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB59) | (~v130(constB59, 1)) | v127(constB59, 1)),
% 54.00/34.16 inference(modus_ponens,[status(thm)],[12797, 12796])).
% 54.00/34.16 tff(12799,plain,
% 54.00/34.16 ((~v130(constB59, 1)) | v127(constB59, 1)),
% 54.00/34.16 inference(unit_resolution,[status(thm)],[12798, 1593, 12693])).
% 54.00/34.16 tff(12800,plain,
% 54.00/34.16 (v127(constB59, 1)),
% 54.00/34.16 inference(unit_resolution,[status(thm)],[12799, 12795])).
% 54.00/34.16 tff(12801,plain,
% 54.00/34.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB59, constB60)) | (~v127(constB59, 1)) | v129(constB60, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB59, constB60)) | (~v127(constB59, 1)) | v129(constB60, 1))),
% 54.00/34.16 inference(rewrite,[status(thm)],[])).
% 54.00/34.16 tff(12802,plain,
% 54.00/34.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB59, constB60)) | (~v127(constB59, 1)) | v129(constB60, 1))),
% 54.00/34.16 inference(quant_inst,[status(thm)],[])).
% 54.00/34.16 tff(12803,plain,
% 54.00/34.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB59, constB60)) | (~v127(constB59, 1)) | v129(constB60, 1)),
% 54.00/34.16 inference(modus_ponens,[status(thm)],[12802, 12801])).
% 54.00/34.16 tff(12804,plain,
% 54.00/34.16 ((~v127(constB59, 1)) | v129(constB60, 1)),
% 54.00/34.16 inference(unit_resolution,[status(thm)],[12803, 1608, 12711])).
% 54.00/34.16 tff(12805,plain,
% 54.00/34.16 (v129(constB60, 1)),
% 54.00/34.16 inference(unit_resolution,[status(thm)],[12804, 12800])).
% 54.00/34.16 tff(12806,plain,
% 54.00/34.16 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB60, 1) | (~v129(constB60, 1)) | (~v100(constB60)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB60, 1) | (~v129(constB60, 1)) | (~v100(constB60)))),
% 54.00/34.16 inference(rewrite,[status(thm)],[])).
% 54.00/34.16 tff(12807,plain,
% 54.00/34.16 ((v90(constB60, 1) | (~v100(constB60)) | (~v129(constB60, 1))) <=> (v90(constB60, 1) | (~v129(constB60, 1)) | (~v100(constB60)))),
% 54.00/34.16 inference(rewrite,[status(thm)],[])).
% 54.00/34.16 tff(12808,plain,
% 54.00/34.16 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB60, 1) | (~v100(constB60)) | (~v129(constB60, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB60, 1) | (~v129(constB60, 1)) | (~v100(constB60))))),
% 54.00/34.16 inference(monotonicity,[status(thm)],[12807])).
% 54.00/34.16 tff(12809,plain,
% 54.00/34.16 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB60, 1) | (~v100(constB60)) | (~v129(constB60, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB60, 1) | (~v129(constB60, 1)) | (~v100(constB60)))),
% 54.00/34.16 inference(transitivity,[status(thm)],[12808, 12806])).
% 54.00/34.16 tff(12810,plain,
% 54.00/34.16 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB60, 1) | (~v100(constB60)) | (~v129(constB60, 1)))),
% 54.00/34.16 inference(quant_inst,[status(thm)],[])).
% 54.00/34.16 tff(12811,plain,
% 54.00/34.16 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB60, 1) | (~v129(constB60, 1)) | (~v100(constB60))),
% 54.00/34.16 inference(modus_ponens,[status(thm)],[12810, 12809])).
% 54.00/34.16 tff(12812,plain,
% 54.00/34.16 (v90(constB60, 1) | (~v100(constB60))),
% 54.00/34.16 inference(unit_resolution,[status(thm)],[12811, 1623, 12805])).
% 54.00/34.16 tff(12813,plain,
% 54.00/34.16 (v90(constB60, 1)),
% 54.00/34.16 inference(unit_resolution,[status(thm)],[12812, 12742])).
% 54.00/34.16 tff(12814,plain,
% 54.00/34.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB60, 1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB60, 1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, 1))),
% 54.00/34.16 inference(rewrite,[status(thm)],[])).
% 54.00/34.16 tff(12815,plain,
% 54.00/34.16 (((~nextState(constB60, constB61)) | (~v90(constB60, 1)) | v100(constB61) | v90(constB61, 1)) <=> ((~v90(constB60, 1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, 1))),
% 54.00/34.16 inference(rewrite,[status(thm)],[])).
% 54.00/34.16 tff(12816,plain,
% 54.00/34.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB60, constB61)) | (~v90(constB60, 1)) | v100(constB61) | v90(constB61, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB60, 1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, 1)))),
% 54.00/34.16 inference(monotonicity,[status(thm)],[12815])).
% 54.00/34.16 tff(12817,plain,
% 54.00/34.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB60, constB61)) | (~v90(constB60, 1)) | v100(constB61) | v90(constB61, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB60, 1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, 1))),
% 54.00/34.16 inference(transitivity,[status(thm)],[12816, 12814])).
% 54.00/34.16 tff(12818,plain,
% 54.00/34.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB60, constB61)) | (~v90(constB60, 1)) | v100(constB61) | v90(constB61, 1))),
% 54.00/34.16 inference(quant_inst,[status(thm)],[])).
% 54.00/34.16 tff(12819,plain,
% 54.00/34.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB60, 1)) | (~nextState(constB60, constB61)) | v100(constB61) | v90(constB61, 1)),
% 54.00/34.16 inference(modus_ponens,[status(thm)],[12818, 12817])).
% 54.00/34.16 tff(12820,plain,
% 54.00/34.16 ((~v90(constB60, 1)) | v100(constB61) | v90(constB61, 1)),
% 54.00/34.16 inference(unit_resolution,[status(thm)],[12819, 1641, 12770])).
% 54.00/34.16 tff(12821,plain,
% 54.00/34.16 ((~v90(constB60, 1)) | v90(constB61, 1)),
% 54.00/34.16 inference(unit_resolution,[status(thm)],[12820, 12782])).
% 54.00/34.16 tff(12822,plain,
% 54.00/34.16 (v90(constB61, 1)),
% 54.00/34.16 inference(unit_resolution,[status(thm)],[12821, 12813])).
% 54.00/34.16 tff(12823,plain,
% 54.00/34.16 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB59)) | (~v130(constB59, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB59)) | (~v130(constB59, 0)))),
% 54.00/34.16 inference(rewrite,[status(thm)],[])).
% 54.00/34.16 tff(12824,plain,
% 54.00/34.16 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB59)) | (~v130(constB59, 0)))),
% 54.00/34.16 inference(quant_inst,[status(thm)],[])).
% 54.00/34.16 tff(12825,plain,
% 54.00/34.16 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB59)) | (~v130(constB59, 0))),
% 54.00/34.16 inference(modus_ponens,[status(thm)],[12824, 12823])).
% 54.00/34.16 tff(12826,plain,
% 54.00/34.16 (~v130(constB59, 0)),
% 54.00/34.16 inference(unit_resolution,[status(thm)],[12825, 3274, 12678])).
% 54.00/34.16 tff(12827,plain,
% 54.00/34.16 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB59, 0)) | v26(constB59) | v130(constB59, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB59, 0)) | v26(constB59) | v130(constB59, 0))),
% 54.00/34.16 inference(rewrite,[status(thm)],[])).
% 54.00/34.16 tff(12828,plain,
% 54.00/34.16 ((v26(constB59) | v130(constB59, 0) | (~v127(constB59, 0))) <=> ((~v127(constB59, 0)) | v26(constB59) | v130(constB59, 0))),
% 54.00/34.16 inference(rewrite,[status(thm)],[])).
% 54.00/34.16 tff(12829,plain,
% 54.00/34.16 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB59) | v130(constB59, 0) | (~v127(constB59, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB59, 0)) | v26(constB59) | v130(constB59, 0)))),
% 54.00/34.16 inference(monotonicity,[status(thm)],[12828])).
% 54.00/34.16 tff(12830,plain,
% 54.00/34.16 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB59) | v130(constB59, 0) | (~v127(constB59, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB59, 0)) | v26(constB59) | v130(constB59, 0))),
% 54.00/34.16 inference(transitivity,[status(thm)],[12829, 12827])).
% 54.00/34.16 tff(12831,plain,
% 54.00/34.16 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB59) | v130(constB59, 0) | (~v127(constB59, 0)))),
% 54.00/34.16 inference(quant_inst,[status(thm)],[])).
% 54.00/34.16 tff(12832,plain,
% 54.00/34.16 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB59, 0)) | v26(constB59) | v130(constB59, 0)),
% 54.00/34.16 inference(modus_ponens,[status(thm)],[12831, 12830])).
% 54.00/34.16 tff(12833,plain,
% 54.00/34.16 ((~v127(constB59, 0)) | v130(constB59, 0)),
% 54.00/34.16 inference(unit_resolution,[status(thm)],[12832, 1671, 12693])).
% 54.00/34.16 tff(12834,plain,
% 54.00/34.16 (~v127(constB59, 0)),
% 54.00/34.16 inference(unit_resolution,[status(thm)],[12833, 12826])).
% 54.00/34.16 tff(12835,plain,
% 54.00/34.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB59, constB60)) | v127(constB59, 0) | (~v129(constB60, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB59, constB60)) | v127(constB59, 0) | (~v129(constB60, 0)))),
% 54.00/34.16 inference(rewrite,[status(thm)],[])).
% 54.00/34.16 tff(12836,plain,
% 54.00/34.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB59, constB60)) | v127(constB59, 0) | (~v129(constB60, 0)))),
% 54.00/34.16 inference(quant_inst,[status(thm)],[])).
% 54.00/34.16 tff(12837,plain,
% 54.00/34.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB59, constB60)) | v127(constB59, 0) | (~v129(constB60, 0))),
% 54.00/34.16 inference(modus_ponens,[status(thm)],[12836, 12835])).
% 54.00/34.16 tff(12838,plain,
% 54.00/34.16 (v127(constB59, 0) | (~v129(constB60, 0))),
% 54.00/34.16 inference(unit_resolution,[status(thm)],[12837, 1689, 12711])).
% 54.00/34.16 tff(12839,plain,
% 54.00/34.16 (~v129(constB60, 0)),
% 54.00/34.16 inference(unit_resolution,[status(thm)],[12838, 12834])).
% 54.00/34.16 tff(12840,plain,
% 54.00/34.16 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB60, 0)) | v129(constB60, 0) | (~v100(constB60)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB60, 0)) | v129(constB60, 0) | (~v100(constB60)))),
% 54.00/34.16 inference(rewrite,[status(thm)],[])).
% 54.00/34.16 tff(12841,plain,
% 54.00/34.16 (((~v90(constB60, 0)) | (~v100(constB60)) | v129(constB60, 0)) <=> ((~v90(constB60, 0)) | v129(constB60, 0) | (~v100(constB60)))),
% 54.00/34.16 inference(rewrite,[status(thm)],[])).
% 54.00/34.16 tff(12842,plain,
% 54.00/34.16 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB60, 0)) | (~v100(constB60)) | v129(constB60, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB60, 0)) | v129(constB60, 0) | (~v100(constB60))))),
% 54.00/34.16 inference(monotonicity,[status(thm)],[12841])).
% 54.00/34.16 tff(12843,plain,
% 54.00/34.16 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB60, 0)) | (~v100(constB60)) | v129(constB60, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB60, 0)) | v129(constB60, 0) | (~v100(constB60)))),
% 54.00/34.16 inference(transitivity,[status(thm)],[12842, 12840])).
% 54.00/34.16 tff(12844,plain,
% 54.00/34.16 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB60, 0)) | (~v100(constB60)) | v129(constB60, 0))),
% 54.00/34.16 inference(quant_inst,[status(thm)],[])).
% 54.00/34.16 tff(12845,plain,
% 54.00/34.16 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB60, 0)) | v129(constB60, 0) | (~v100(constB60))),
% 54.00/34.16 inference(modus_ponens,[status(thm)],[12844, 12843])).
% 54.00/34.16 tff(12846,plain,
% 54.00/34.16 ((~v90(constB60, 0)) | (~v100(constB60))),
% 54.00/34.16 inference(unit_resolution,[status(thm)],[12845, 1704, 12839])).
% 54.00/34.16 tff(12847,plain,
% 54.00/34.16 (~v90(constB60, 0)),
% 54.00/34.16 inference(unit_resolution,[status(thm)],[12846, 12742])).
% 54.00/34.16 tff(12848,plain,
% 54.00/34.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB60, 0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB60, 0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, 0)))),
% 54.00/34.16 inference(rewrite,[status(thm)],[])).
% 54.00/34.16 tff(12849,plain,
% 54.00/34.16 (((~nextState(constB60, constB61)) | v90(constB60, 0) | v100(constB61) | (~v90(constB61, 0))) <=> (v90(constB60, 0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, 0)))),
% 54.00/34.16 inference(rewrite,[status(thm)],[])).
% 54.00/34.16 tff(12850,plain,
% 54.00/34.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB60, constB61)) | v90(constB60, 0) | v100(constB61) | (~v90(constB61, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB60, 0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, 0))))),
% 54.00/34.16 inference(monotonicity,[status(thm)],[12849])).
% 54.00/34.16 tff(12851,plain,
% 54.00/34.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB60, constB61)) | v90(constB60, 0) | v100(constB61) | (~v90(constB61, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB60, 0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, 0)))),
% 54.00/34.16 inference(transitivity,[status(thm)],[12850, 12848])).
% 54.00/34.16 tff(12852,plain,
% 54.00/34.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB60, constB61)) | v90(constB60, 0) | v100(constB61) | (~v90(constB61, 0)))),
% 54.00/34.16 inference(quant_inst,[status(thm)],[])).
% 54.00/34.16 tff(12853,plain,
% 54.00/34.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB60, 0) | (~nextState(constB60, constB61)) | v100(constB61) | (~v90(constB61, 0))),
% 54.00/34.16 inference(modus_ponens,[status(thm)],[12852, 12851])).
% 54.00/34.16 tff(12854,plain,
% 54.00/34.16 (v90(constB60, 0) | v100(constB61) | (~v90(constB61, 0))),
% 54.00/34.16 inference(unit_resolution,[status(thm)],[12853, 947, 12770])).
% 54.00/34.16 tff(12855,plain,
% 54.00/34.16 (v90(constB60, 0) | (~v90(constB61, 0))),
% 54.00/34.16 inference(unit_resolution,[status(thm)],[12854, 12782])).
% 54.00/34.16 tff(12856,plain,
% 54.00/34.16 (~v90(constB61, 0)),
% 54.00/34.16 inference(unit_resolution,[status(thm)],[12855, 12847])).
% 54.00/34.16 tff(12857,plain,
% 54.00/34.16 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB61, 0) | (~v90(constB61, 1)) | (~v90(constB61, 2)) | v125(constB61))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB61, 0) | (~v90(constB61, 1)) | (~v90(constB61, 2)) | v125(constB61))),
% 54.00/34.16 inference(rewrite,[status(thm)],[])).
% 54.00/34.16 tff(12858,plain,
% 54.00/34.16 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB61, 0) | (~v90(constB61, 1)) | (~v90(constB61, 2)) | v125(constB61))),
% 54.00/34.16 inference(quant_inst,[status(thm)],[])).
% 54.00/34.16 tff(12859,plain,
% 54.00/34.16 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB61, 0) | (~v90(constB61, 1)) | (~v90(constB61, 2)) | v125(constB61)),
% 54.00/34.16 inference(modus_ponens,[status(thm)],[12858, 12857])).
% 54.00/34.16 tff(12860,plain,
% 54.00/34.16 (v125(constB61)),
% 54.00/34.16 inference(unit_resolution,[status(thm)],[12859, 2279, 12856, 12822, 12791])).
% 54.00/34.16 tff(12861,plain,
% 54.00/34.16 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB61) | (~v125(constB61)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB61) | (~v125(constB61)))),
% 54.00/34.16 inference(rewrite,[status(thm)],[])).
% 54.00/34.16 tff(12862,plain,
% 54.00/34.16 (((~v125(constB61)) | v113(constB61)) <=> (v113(constB61) | (~v125(constB61)))),
% 54.00/34.16 inference(rewrite,[status(thm)],[])).
% 54.00/34.16 tff(12863,plain,
% 54.00/34.16 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB61)) | v113(constB61))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB61) | (~v125(constB61))))),
% 54.00/34.16 inference(monotonicity,[status(thm)],[12862])).
% 54.00/34.16 tff(12864,plain,
% 54.00/34.16 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB61)) | v113(constB61))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB61) | (~v125(constB61)))),
% 54.00/34.16 inference(transitivity,[status(thm)],[12863, 12861])).
% 54.00/34.16 tff(12865,plain,
% 54.00/34.16 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB61)) | v113(constB61))),
% 54.00/34.16 inference(quant_inst,[status(thm)],[])).
% 54.00/34.16 tff(12866,plain,
% 54.00/34.16 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB61) | (~v125(constB61))),
% 54.00/34.16 inference(modus_ponens,[status(thm)],[12865, 12864])).
% 54.00/34.16 tff(12867,plain,
% 54.00/34.16 (v113(constB61)),
% 54.00/34.16 inference(unit_resolution,[status(thm)],[12866, 2262, 12860])).
% 54.00/34.16 tff(12868,assumption,(v26(constB61)), introduced(assumption)).
% 54.00/34.16 tff(12869,plain,
% 54.00/34.16 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB61))),
% 54.00/34.16 inference(quant_inst,[status(thm)],[])).
% 54.00/34.16 tff(12870,plain,
% 54.00/34.16 ($false),
% 54.00/34.16 inference(unit_resolution,[status(thm)],[12869, 828, 12868])).
% 54.00/34.16 tff(12871,plain,(~v26(constB61)), inference(lemma,lemma(discharge,[]))).
% 54.00/34.16 tff(12872,plain,
% 54.00/34.16 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB61) | v112(constB61) | (~v113(constB61)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB61) | v112(constB61) | (~v113(constB61)))),
% 54.00/34.16 inference(rewrite,[status(thm)],[])).
% 54.00/34.16 tff(12873,plain,
% 54.00/34.16 ((v26(constB61) | (~v113(constB61)) | v112(constB61)) <=> (v26(constB61) | v112(constB61) | (~v113(constB61)))),
% 54.00/34.17 inference(rewrite,[status(thm)],[])).
% 54.00/34.17 tff(12874,plain,
% 54.00/34.17 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB61) | (~v113(constB61)) | v112(constB61))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB61) | v112(constB61) | (~v113(constB61))))),
% 54.00/34.17 inference(monotonicity,[status(thm)],[12873])).
% 54.00/34.17 tff(12875,plain,
% 54.00/34.17 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB61) | (~v113(constB61)) | v112(constB61))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB61) | v112(constB61) | (~v113(constB61)))),
% 54.00/34.17 inference(transitivity,[status(thm)],[12874, 12872])).
% 54.00/34.17 tff(12876,plain,
% 54.00/34.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB61) | (~v113(constB61)) | v112(constB61))),
% 54.00/34.17 inference(quant_inst,[status(thm)],[])).
% 54.00/34.17 tff(12877,plain,
% 54.00/34.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB61) | v112(constB61) | (~v113(constB61))),
% 54.00/34.17 inference(modus_ponens,[status(thm)],[12876, 12875])).
% 54.00/34.17 tff(12878,plain,
% 54.00/34.17 (v112(constB61) | (~v113(constB61))),
% 54.00/34.17 inference(unit_resolution,[status(thm)],[12877, 1063, 12871])).
% 54.00/34.17 tff(12879,plain,
% 54.00/34.17 (v112(constB61)),
% 54.00/34.17 inference(unit_resolution,[status(thm)],[12878, 12867])).
% 54.00/34.17 tff(12880,plain,
% 54.00/34.17 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB61) | (~v112(constB61)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB61) | (~v112(constB61)))),
% 54.00/34.17 inference(rewrite,[status(thm)],[])).
% 54.00/34.17 tff(12881,plain,
% 54.00/34.17 (((~v112(constB61)) | v108(constB61)) <=> (v108(constB61) | (~v112(constB61)))),
% 54.00/34.17 inference(rewrite,[status(thm)],[])).
% 54.00/34.17 tff(12882,plain,
% 54.00/34.17 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB61)) | v108(constB61))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB61) | (~v112(constB61))))),
% 54.00/34.17 inference(monotonicity,[status(thm)],[12881])).
% 54.00/34.17 tff(12883,plain,
% 54.00/34.17 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB61)) | v108(constB61))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB61) | (~v112(constB61)))),
% 54.00/34.17 inference(transitivity,[status(thm)],[12882, 12880])).
% 54.00/34.17 tff(12884,plain,
% 54.00/34.17 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB61)) | v108(constB61))),
% 54.00/34.17 inference(quant_inst,[status(thm)],[])).
% 54.00/34.17 tff(12885,plain,
% 54.00/34.17 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB61) | (~v112(constB61))),
% 54.00/34.17 inference(modus_ponens,[status(thm)],[12884, 12883])).
% 54.00/34.17 tff(12886,plain,
% 54.00/34.17 (v108(constB61)),
% 54.00/34.17 inference(unit_resolution,[status(thm)],[12885, 1075, 12879])).
% 54.00/34.17 tff(12887,plain,
% 54.00/34.17 (nextState(constB61, constB62) <=> nextState(constB61, constB62)),
% 54.00/34.17 inference(rewrite,[status(thm)],[])).
% 54.00/34.17 tff(12888,axiom,(nextState(constB61, constB62)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_61_1')).
% 54.00/34.17 tff(12889,plain,
% 54.00/34.17 (nextState(constB61, constB62)),
% 54.00/34.17 inference(modus_ponens,[status(thm)],[12888, 12887])).
% 54.00/34.17 tff(12890,plain,
% 54.00/34.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61)))),
% 54.00/34.17 inference(rewrite,[status(thm)],[])).
% 54.00/34.17 tff(12891,plain,
% 54.00/34.17 (((~nextState(constB61, constB62)) | (~v108(constB61)) | v110(constB62)) <=> ((~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61)))),
% 54.00/34.17 inference(rewrite,[status(thm)],[])).
% 54.00/34.17 tff(12892,plain,
% 54.00/34.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB61, constB62)) | (~v108(constB61)) | v110(constB62))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61))))),
% 54.00/34.17 inference(monotonicity,[status(thm)],[12891])).
% 54.00/34.17 tff(12893,plain,
% 54.00/34.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB61, constB62)) | (~v108(constB61)) | v110(constB62))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61)))),
% 54.00/34.17 inference(transitivity,[status(thm)],[12892, 12890])).
% 54.00/34.17 tff(12894,plain,
% 54.00/34.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB61, constB62)) | (~v108(constB61)) | v110(constB62))),
% 54.00/34.17 inference(quant_inst,[status(thm)],[])).
% 54.00/34.17 tff(12895,plain,
% 54.00/34.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB61, constB62)) | v110(constB62) | (~v108(constB61))),
% 54.00/34.17 inference(modus_ponens,[status(thm)],[12894, 12893])).
% 54.00/34.17 tff(12896,plain,
% 54.00/34.17 (v110(constB62) | (~v108(constB61))),
% 54.00/34.17 inference(unit_resolution,[status(thm)],[12895, 1095, 12889])).
% 54.00/34.17 tff(12897,plain,
% 54.00/34.17 (v110(constB62)),
% 54.00/34.17 inference(unit_resolution,[status(thm)],[12896, 12886])).
% 54.00/34.17 tff(12898,plain,
% 54.00/34.17 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB61) | (~nextState(constB61, constB62)) | (~v104(constB62)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB61) | (~nextState(constB61, constB62)) | (~v104(constB62)))),
% 54.00/34.17 inference(rewrite,[status(thm)],[])).
% 54.00/34.17 tff(12899,plain,
% 54.00/34.17 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB61) | (~nextState(constB61, constB62)) | (~v104(constB62)))),
% 54.00/34.17 inference(quant_inst,[status(thm)],[])).
% 54.00/34.17 tff(12900,plain,
% 54.00/34.17 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB61) | (~nextState(constB61, constB62)) | (~v104(constB62))),
% 54.00/34.17 inference(modus_ponens,[status(thm)],[12899, 12898])).
% 54.00/34.17 tff(12901,plain,
% 54.00/34.17 (~v104(constB62)),
% 54.00/34.17 inference(unit_resolution,[status(thm)],[12900, 1113, 12889, 12767])).
% 54.00/34.17 tff(12902,plain,
% 54.00/34.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB61, constB62)) | v102(constB62) | v104(constB62))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB61, constB62)) | v102(constB62) | v104(constB62))),
% 54.00/34.17 inference(rewrite,[status(thm)],[])).
% 54.00/34.17 tff(12903,plain,
% 54.00/34.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB61, constB62)) | v102(constB62) | v104(constB62))),
% 54.00/34.17 inference(quant_inst,[status(thm)],[])).
% 54.00/34.17 tff(12904,plain,
% 54.00/34.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB61, constB62)) | v102(constB62) | v104(constB62)),
% 54.00/34.17 inference(modus_ponens,[status(thm)],[12903, 12902])).
% 54.00/34.17 tff(12905,plain,
% 54.00/34.17 (v102(constB62) | v104(constB62)),
% 54.00/34.17 inference(unit_resolution,[status(thm)],[12904, 1127, 12889])).
% 54.00/34.17 tff(12906,plain,
% 54.00/34.17 (v102(constB62)),
% 54.00/34.17 inference(unit_resolution,[status(thm)],[12905, 12901])).
% 54.00/34.17 tff(12907,plain,
% 54.00/34.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB61, constB62)) | v101(constB62) | (~v102(constB62)) | (~v1(constB62)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB61, constB62)) | v101(constB62) | (~v102(constB62)) | (~v1(constB62)))),
% 54.00/34.17 inference(rewrite,[status(thm)],[])).
% 54.00/34.17 tff(12908,plain,
% 54.00/34.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB61, constB62)) | v101(constB62) | (~v102(constB62)) | (~v1(constB62)))),
% 54.00/34.17 inference(quant_inst,[status(thm)],[])).
% 54.00/34.17 tff(12909,plain,
% 54.00/34.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB61, constB62)) | v101(constB62) | (~v102(constB62)) | (~v1(constB62))),
% 54.00/34.17 inference(modus_ponens,[status(thm)],[12908, 12907])).
% 54.00/34.17 tff(12910,plain,
% 54.00/34.17 (v101(constB62) | (~v102(constB62))),
% 54.00/34.17 inference(unit_resolution,[status(thm)],[12909, 1145, 12889, 717])).
% 54.00/34.17 tff(12911,plain,
% 54.00/34.17 (v101(constB62)),
% 54.00/34.17 inference(unit_resolution,[status(thm)],[12910, 12906])).
% 54.00/34.17 tff(12912,plain,
% 54.00/34.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62)))),
% 54.00/34.17 inference(rewrite,[status(thm)],[])).
% 54.00/34.17 tff(12913,plain,
% 54.00/34.17 (((~nextState(constB61, constB62)) | (~v101(constB62)) | (~v110(constB62)) | v100(constB62)) <=> ((~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62)))),
% 54.00/34.17 inference(rewrite,[status(thm)],[])).
% 54.00/34.17 tff(12914,plain,
% 54.00/34.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB61, constB62)) | (~v101(constB62)) | (~v110(constB62)) | v100(constB62))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62))))),
% 54.00/34.17 inference(monotonicity,[status(thm)],[12913])).
% 54.00/34.17 tff(12915,plain,
% 54.00/34.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB61, constB62)) | (~v101(constB62)) | (~v110(constB62)) | v100(constB62))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62)))),
% 54.00/34.17 inference(transitivity,[status(thm)],[12914, 12912])).
% 54.00/34.17 tff(12916,plain,
% 54.00/34.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB61, constB62)) | (~v101(constB62)) | (~v110(constB62)) | v100(constB62))),
% 54.00/34.17 inference(quant_inst,[status(thm)],[])).
% 54.00/34.17 tff(12917,plain,
% 54.00/34.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB61, constB62)) | v100(constB62) | (~v101(constB62)) | (~v110(constB62))),
% 54.00/34.17 inference(modus_ponens,[status(thm)],[12916, 12915])).
% 54.00/34.17 tff(12918,plain,
% 54.00/34.17 (v100(constB62) | (~v101(constB62)) | (~v110(constB62))),
% 54.00/34.17 inference(unit_resolution,[status(thm)],[12917, 1160, 12889])).
% 54.00/34.17 tff(12919,plain,
% 54.00/34.17 (v100(constB62) | (~v110(constB62))),
% 54.00/34.17 inference(unit_resolution,[status(thm)],[12918, 12911])).
% 54.00/34.17 tff(12920,plain,
% 54.00/34.17 (v100(constB62)),
% 54.00/34.17 inference(unit_resolution,[status(thm)],[12919, 12897])).
% 54.00/34.17 tff(12921,plain,
% 54.00/34.17 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB61)) | (~v90(constB61, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB61)) | (~v90(constB61, 2)))),
% 54.00/34.17 inference(rewrite,[status(thm)],[])).
% 54.00/34.17 tff(12922,plain,
% 54.00/34.17 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB61)) | (~v90(constB61, 2)))),
% 54.00/34.17 inference(quant_inst,[status(thm)],[])).
% 54.00/34.17 tff(12923,plain,
% 54.00/34.17 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB61)) | (~v90(constB61, 2))),
% 54.00/34.17 inference(modus_ponens,[status(thm)],[12922, 12921])).
% 54.00/34.17 tff(12924,plain,
% 54.00/34.17 (~v121(constB61)),
% 54.00/34.17 inference(unit_resolution,[status(thm)],[12923, 2857, 12791])).
% 54.00/34.17 tff(12925,plain,
% 54.00/34.17 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB61)) | (~v90(constB61, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB61)) | (~v90(constB61, 2)))),
% 54.00/34.17 inference(rewrite,[status(thm)],[])).
% 54.00/34.17 tff(12926,plain,
% 54.00/34.17 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB61)) | (~v90(constB61, 2)))),
% 54.00/34.17 inference(quant_inst,[status(thm)],[])).
% 54.00/34.17 tff(12927,plain,
% 54.00/34.17 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB61)) | (~v90(constB61, 2))),
% 54.00/34.17 inference(modus_ponens,[status(thm)],[12926, 12925])).
% 54.00/34.17 tff(12928,plain,
% 54.00/34.17 (~v122(constB61)),
% 54.00/34.17 inference(unit_resolution,[status(thm)],[12927, 2797, 12791])).
% 54.00/34.17 tff(12929,plain,
% 54.00/34.17 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB61)) | (~v90(constB61, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB61)) | (~v90(constB61, 1)))),
% 54.00/34.17 inference(rewrite,[status(thm)],[])).
% 54.00/34.17 tff(12930,plain,
% 54.00/34.17 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB61)) | (~v90(constB61, 1)))),
% 54.00/34.17 inference(quant_inst,[status(thm)],[])).
% 54.00/34.17 tff(12931,plain,
% 54.00/34.17 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB61)) | (~v90(constB61, 1))),
% 54.00/34.17 inference(modus_ponens,[status(thm)],[12930, 12929])).
% 54.00/34.17 tff(12932,plain,
% 54.00/34.17 (~v119(constB61)),
% 54.00/34.17 inference(unit_resolution,[status(thm)],[12931, 2868, 12822])).
% 54.00/34.17 tff(12933,plain,
% 54.00/34.17 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB61)) | (~v90(constB61, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB61)) | (~v90(constB61, 1)))),
% 54.00/34.17 inference(rewrite,[status(thm)],[])).
% 54.00/34.17 tff(12934,plain,
% 54.00/34.17 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB61)) | (~v90(constB61, 1)))),
% 54.00/34.17 inference(quant_inst,[status(thm)],[])).
% 54.00/34.17 tff(12935,plain,
% 54.00/34.17 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB61)) | (~v90(constB61, 1))),
% 54.00/34.17 inference(modus_ponens,[status(thm)],[12934, 12933])).
% 54.00/34.17 tff(12936,plain,
% 54.00/34.17 (~v123(constB61)),
% 54.00/34.17 inference(unit_resolution,[status(thm)],[12935, 2879, 12822])).
% 54.00/34.17 tff(12937,plain,
% 54.00/34.17 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB61)) | (~v90(constB61, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB61)) | (~v90(constB61, 1)))),
% 54.00/34.17 inference(rewrite,[status(thm)],[])).
% 54.00/34.17 tff(12938,plain,
% 54.00/34.17 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB61)) | (~v90(constB61, 1)))),
% 54.00/34.17 inference(quant_inst,[status(thm)],[])).
% 54.00/34.17 tff(12939,plain,
% 54.00/34.17 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB61)) | (~v90(constB61, 1))),
% 54.00/34.17 inference(modus_ponens,[status(thm)],[12938, 12937])).
% 54.00/34.17 tff(12940,plain,
% 54.00/34.17 (~v124(constB61)),
% 54.00/34.17 inference(unit_resolution,[status(thm)],[12939, 2890, 12822])).
% 54.00/34.17 tff(12941,plain,
% 54.00/34.17 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB61)) | (~v90(constB61, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB61)) | (~v90(constB61, 1)))),
% 54.00/34.17 inference(rewrite,[status(thm)],[])).
% 54.00/34.17 tff(12942,plain,
% 54.00/34.17 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB61)) | (~v90(constB61, 1)))),
% 54.00/34.17 inference(quant_inst,[status(thm)],[])).
% 54.00/34.17 tff(12943,plain,
% 54.00/34.17 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB61)) | (~v90(constB61, 1))),
% 54.00/34.17 inference(modus_ponens,[status(thm)],[12942, 12941])).
% 54.00/34.17 tff(12944,plain,
% 54.00/34.17 (~v120(constB61)),
% 54.00/34.17 inference(unit_resolution,[status(thm)],[12943, 2846, 12822])).
% 54.00/34.17 tff(12945,plain,
% 54.00/34.17 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, 2)))),
% 54.00/34.17 inference(rewrite,[status(thm)],[])).
% 54.00/34.17 tff(12946,plain,
% 54.00/34.17 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, 2)))),
% 54.00/34.17 inference(quant_inst,[status(thm)],[])).
% 54.00/34.17 tff(12947,plain,
% 54.00/34.17 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, 2))),
% 54.00/34.17 inference(modus_ponens,[status(thm)],[12946, 12945])).
% 54.00/34.17 tff(12948,plain,
% 54.00/34.17 (~v130(constB61, 2)),
% 54.00/34.17 inference(unit_resolution,[status(thm)],[12947, 2904, 12944, 12940, 12936, 12932, 12928, 12924])).
% 54.00/34.17 tff(12949,plain,
% 54.00/34.17 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB61, 2)) | v26(constB61) | v130(constB61, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB61, 2)) | v26(constB61) | v130(constB61, 2))),
% 54.00/34.17 inference(rewrite,[status(thm)],[])).
% 54.00/34.17 tff(12950,plain,
% 54.00/34.17 ((v26(constB61) | v130(constB61, 2) | (~v127(constB61, 2))) <=> ((~v127(constB61, 2)) | v26(constB61) | v130(constB61, 2))),
% 54.00/34.17 inference(rewrite,[status(thm)],[])).
% 54.00/34.17 tff(12951,plain,
% 54.00/34.17 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB61) | v130(constB61, 2) | (~v127(constB61, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB61, 2)) | v26(constB61) | v130(constB61, 2)))),
% 54.00/34.17 inference(monotonicity,[status(thm)],[12950])).
% 54.00/34.17 tff(12952,plain,
% 54.00/34.17 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB61) | v130(constB61, 2) | (~v127(constB61, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB61, 2)) | v26(constB61) | v130(constB61, 2))),
% 54.00/34.17 inference(transitivity,[status(thm)],[12951, 12949])).
% 54.00/34.17 tff(12953,plain,
% 54.00/34.17 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB61) | v130(constB61, 2) | (~v127(constB61, 2)))),
% 54.00/34.17 inference(quant_inst,[status(thm)],[])).
% 54.00/34.17 tff(12954,plain,
% 54.00/34.17 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB61, 2)) | v26(constB61) | v130(constB61, 2)),
% 54.00/34.17 inference(modus_ponens,[status(thm)],[12953, 12952])).
% 54.00/34.17 tff(12955,plain,
% 54.00/34.17 ((~v127(constB61, 2)) | v130(constB61, 2)),
% 54.00/34.17 inference(unit_resolution,[status(thm)],[12954, 1190, 12871])).
% 54.00/34.17 tff(12956,plain,
% 54.00/34.17 (~v127(constB61, 2)),
% 54.00/34.17 inference(unit_resolution,[status(thm)],[12955, 12948])).
% 54.00/34.17 tff(12957,plain,
% 54.00/34.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB61, constB62)) | v127(constB61, 2) | (~v129(constB62, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB61, constB62)) | v127(constB61, 2) | (~v129(constB62, 2)))),
% 54.00/34.17 inference(rewrite,[status(thm)],[])).
% 54.00/34.17 tff(12958,plain,
% 54.00/34.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB61, constB62)) | v127(constB61, 2) | (~v129(constB62, 2)))),
% 54.00/34.17 inference(quant_inst,[status(thm)],[])).
% 54.00/34.17 tff(12959,plain,
% 54.00/34.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB61, constB62)) | v127(constB61, 2) | (~v129(constB62, 2))),
% 54.00/34.17 inference(modus_ponens,[status(thm)],[12958, 12957])).
% 54.00/34.17 tff(12960,plain,
% 54.00/34.17 (v127(constB61, 2) | (~v129(constB62, 2))),
% 54.00/34.17 inference(unit_resolution,[status(thm)],[12959, 1208, 12889])).
% 54.00/34.17 tff(12961,plain,
% 54.00/34.17 (~v129(constB62, 2)),
% 54.00/34.17 inference(unit_resolution,[status(thm)],[12960, 12956])).
% 54.00/34.17 tff(12962,plain,
% 54.00/34.17 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB62, 2)) | v129(constB62, 2) | (~v100(constB62)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB62, 2)) | v129(constB62, 2) | (~v100(constB62)))),
% 54.00/34.17 inference(rewrite,[status(thm)],[])).
% 54.00/34.17 tff(12963,plain,
% 54.00/34.17 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB62, 2)) | v129(constB62, 2) | (~v100(constB62)))),
% 54.00/34.17 inference(quant_inst,[status(thm)],[])).
% 54.00/34.17 tff(12964,plain,
% 54.00/34.17 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB62, 2)) | v129(constB62, 2) | (~v100(constB62))),
% 54.00/34.17 inference(modus_ponens,[status(thm)],[12963, 12962])).
% 54.00/34.17 tff(12965,plain,
% 54.00/34.17 ((~v90(constB62, 2)) | (~v100(constB62))),
% 54.00/34.17 inference(unit_resolution,[status(thm)],[12964, 1223, 12961])).
% 54.00/34.17 tff(12966,plain,
% 54.00/34.17 (~v90(constB62, 2)),
% 54.00/34.17 inference(unit_resolution,[status(thm)],[12965, 12920])).
% 54.00/34.17 tff(12967,plain,
% 54.00/34.17 ((~v1(constB63)) <=> (~v1(constB63))),
% 54.00/34.17 inference(rewrite,[status(thm)],[])).
% 54.00/34.17 tff(12968,axiom,(~v1(constB63)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_63_1_1')).
% 54.00/34.17 tff(12969,plain,
% 54.00/34.17 (~v1(constB63)),
% 54.00/34.17 inference(modus_ponens,[status(thm)],[12968, 12967])).
% 54.00/34.17 tff(12970,plain,
% 54.00/34.17 (nextState(constB62, constB63) <=> nextState(constB62, constB63)),
% 54.00/34.17 inference(rewrite,[status(thm)],[])).
% 54.00/34.17 tff(12971,axiom,(nextState(constB62, constB63)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_62_1')).
% 54.00/34.17 tff(12972,plain,
% 54.00/34.17 (nextState(constB62, constB63)),
% 54.00/34.17 inference(modus_ponens,[status(thm)],[12971, 12970])).
% 54.00/34.17 tff(12973,plain,
% 54.00/34.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63)))),
% 54.00/34.17 inference(rewrite,[status(thm)],[])).
% 54.00/34.17 tff(12974,plain,
% 54.00/34.17 (((~nextState(constB62, constB63)) | (~v101(constB63)) | v1(constB63)) <=> (v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63)))),
% 54.00/34.17 inference(rewrite,[status(thm)],[])).
% 54.00/34.17 tff(12975,plain,
% 54.00/34.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB62, constB63)) | (~v101(constB63)) | v1(constB63))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63))))),
% 54.00/34.17 inference(monotonicity,[status(thm)],[12974])).
% 54.00/34.17 tff(12976,plain,
% 54.00/34.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB62, constB63)) | (~v101(constB63)) | v1(constB63))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63)))),
% 54.00/34.17 inference(transitivity,[status(thm)],[12975, 12973])).
% 54.00/34.17 tff(12977,plain,
% 54.00/34.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB62, constB63)) | (~v101(constB63)) | v1(constB63))),
% 54.00/34.17 inference(quant_inst,[status(thm)],[])).
% 54.00/34.17 tff(12978,plain,
% 54.00/34.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v101(constB63))),
% 54.00/34.17 inference(modus_ponens,[status(thm)],[12977, 12976])).
% 54.00/34.17 tff(12979,plain,
% 54.00/34.17 (~v101(constB63)),
% 54.00/34.17 inference(unit_resolution,[status(thm)],[12978, 873, 12972, 12969])).
% 54.00/34.17 tff(12980,plain,
% 54.00/34.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB62, constB63)) | v101(constB63) | (~v100(constB63)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB62, constB63)) | v101(constB63) | (~v100(constB63)))),
% 54.00/34.17 inference(rewrite,[status(thm)],[])).
% 54.00/34.17 tff(12981,plain,
% 54.00/34.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB62, constB63)) | v101(constB63) | (~v100(constB63)))),
% 54.00/34.17 inference(quant_inst,[status(thm)],[])).
% 54.00/34.17 tff(12982,plain,
% 54.00/34.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB62, constB63)) | v101(constB63) | (~v100(constB63))),
% 54.00/34.17 inference(modus_ponens,[status(thm)],[12981, 12980])).
% 54.00/34.17 tff(12983,plain,
% 54.00/34.17 (v101(constB63) | (~v100(constB63))),
% 54.00/34.17 inference(unit_resolution,[status(thm)],[12982, 890, 12972])).
% 54.00/34.17 tff(12984,plain,
% 54.00/34.17 (~v100(constB63)),
% 54.00/34.17 inference(unit_resolution,[status(thm)],[12983, 12979])).
% 54.00/34.17 tff(12985,plain,
% 54.00/34.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB62, 2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB62, 2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, 2)))),
% 54.00/34.17 inference(rewrite,[status(thm)],[])).
% 54.00/34.17 tff(12986,plain,
% 54.00/34.17 (((~nextState(constB62, constB63)) | v90(constB62, 2) | v100(constB63) | (~v90(constB63, 2))) <=> (v90(constB62, 2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, 2)))),
% 54.00/34.17 inference(rewrite,[status(thm)],[])).
% 54.00/34.17 tff(12987,plain,
% 54.00/34.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB62, constB63)) | v90(constB62, 2) | v100(constB63) | (~v90(constB63, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB62, 2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, 2))))),
% 54.00/34.17 inference(monotonicity,[status(thm)],[12986])).
% 54.00/34.17 tff(12988,plain,
% 54.00/34.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB62, constB63)) | v90(constB62, 2) | v100(constB63) | (~v90(constB63, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB62, 2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, 2)))),
% 54.00/34.17 inference(transitivity,[status(thm)],[12987, 12985])).
% 54.00/34.17 tff(12989,plain,
% 54.00/34.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB62, constB63)) | v90(constB62, 2) | v100(constB63) | (~v90(constB63, 2)))),
% 54.00/34.17 inference(quant_inst,[status(thm)],[])).
% 54.00/34.17 tff(12990,plain,
% 54.00/34.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB62, 2) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, 2))),
% 54.00/34.17 inference(modus_ponens,[status(thm)],[12989, 12988])).
% 54.00/34.17 tff(12991,plain,
% 54.00/34.17 (v90(constB62, 2) | v100(constB63) | (~v90(constB63, 2))),
% 54.00/34.17 inference(unit_resolution,[status(thm)],[12990, 905, 12972])).
% 54.00/34.17 tff(12992,plain,
% 54.00/34.17 (v90(constB62, 2) | (~v90(constB63, 2))),
% 54.00/34.17 inference(unit_resolution,[status(thm)],[12991, 12984])).
% 54.00/34.17 tff(12993,plain,
% 54.00/34.17 (~v90(constB63, 2)),
% 54.00/34.17 inference(unit_resolution,[status(thm)],[12992, 12966])).
% 54.00/34.17 tff(12994,plain,
% 54.00/34.17 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, 1)))),
% 54.00/34.17 inference(rewrite,[status(thm)],[])).
% 54.00/34.17 tff(12995,plain,
% 54.00/34.17 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, 1)))),
% 54.00/34.17 inference(quant_inst,[status(thm)],[])).
% 54.00/34.17 tff(12996,plain,
% 54.00/34.17 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | (~v130(constB61, 1))),
% 54.00/34.17 inference(modus_ponens,[status(thm)],[12995, 12994])).
% 54.00/34.17 tff(12997,plain,
% 54.00/34.17 (~v130(constB61, 1)),
% 54.00/34.17 inference(unit_resolution,[status(thm)],[12996, 3309, 12944, 12940, 12936, 12932, 12928, 12924])).
% 54.00/34.17 tff(12998,plain,
% 54.00/34.17 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB61, 1)) | v26(constB61) | v130(constB61, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB61, 1)) | v26(constB61) | v130(constB61, 1))),
% 54.00/34.17 inference(rewrite,[status(thm)],[])).
% 54.00/34.17 tff(12999,plain,
% 54.00/34.17 ((v26(constB61) | v130(constB61, 1) | (~v127(constB61, 1))) <=> ((~v127(constB61, 1)) | v26(constB61) | v130(constB61, 1))),
% 54.00/34.17 inference(rewrite,[status(thm)],[])).
% 54.00/34.17 tff(13000,plain,
% 54.00/34.17 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB61) | v130(constB61, 1) | (~v127(constB61, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB61, 1)) | v26(constB61) | v130(constB61, 1)))),
% 54.00/34.17 inference(monotonicity,[status(thm)],[12999])).
% 54.00/34.17 tff(13001,plain,
% 54.00/34.17 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB61) | v130(constB61, 1) | (~v127(constB61, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB61, 1)) | v26(constB61) | v130(constB61, 1))),
% 54.00/34.17 inference(transitivity,[status(thm)],[13000, 12998])).
% 54.00/34.17 tff(13002,plain,
% 54.00/34.17 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB61) | v130(constB61, 1) | (~v127(constB61, 1)))),
% 54.00/34.17 inference(quant_inst,[status(thm)],[])).
% 54.00/34.17 tff(13003,plain,
% 54.00/34.17 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB61, 1)) | v26(constB61) | v130(constB61, 1)),
% 54.00/34.17 inference(modus_ponens,[status(thm)],[13002, 13001])).
% 54.00/34.17 tff(13004,plain,
% 54.00/34.17 ((~v127(constB61, 1)) | v130(constB61, 1)),
% 54.00/34.17 inference(unit_resolution,[status(thm)],[13003, 1276, 12871])).
% 54.00/34.17 tff(13005,plain,
% 54.00/34.17 (~v127(constB61, 1)),
% 54.00/34.17 inference(unit_resolution,[status(thm)],[13004, 12997])).
% 54.00/34.17 tff(13006,plain,
% 54.00/34.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB61, constB62)) | v127(constB61, 1) | (~v129(constB62, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB61, constB62)) | v127(constB61, 1) | (~v129(constB62, 1)))),
% 54.00/34.17 inference(rewrite,[status(thm)],[])).
% 54.00/34.17 tff(13007,plain,
% 54.00/34.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB61, constB62)) | v127(constB61, 1) | (~v129(constB62, 1)))),
% 54.00/34.17 inference(quant_inst,[status(thm)],[])).
% 54.00/34.17 tff(13008,plain,
% 54.00/34.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB61, constB62)) | v127(constB61, 1) | (~v129(constB62, 1))),
% 54.00/34.17 inference(modus_ponens,[status(thm)],[13007, 13006])).
% 54.00/34.17 tff(13009,plain,
% 54.00/34.17 (v127(constB61, 1) | (~v129(constB62, 1))),
% 54.00/34.17 inference(unit_resolution,[status(thm)],[13008, 1294, 12889])).
% 54.00/34.17 tff(13010,plain,
% 54.00/34.17 (~v129(constB62, 1)),
% 54.00/34.17 inference(unit_resolution,[status(thm)],[13009, 13005])).
% 54.00/34.17 tff(13011,plain,
% 54.00/34.17 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB62, 1)) | v129(constB62, 1) | (~v100(constB62)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB62, 1)) | v129(constB62, 1) | (~v100(constB62)))),
% 54.00/34.17 inference(rewrite,[status(thm)],[])).
% 54.00/34.17 tff(13012,plain,
% 54.00/34.17 (((~v90(constB62, 1)) | (~v100(constB62)) | v129(constB62, 1)) <=> ((~v90(constB62, 1)) | v129(constB62, 1) | (~v100(constB62)))),
% 54.00/34.17 inference(rewrite,[status(thm)],[])).
% 54.00/34.17 tff(13013,plain,
% 54.00/34.17 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB62, 1)) | (~v100(constB62)) | v129(constB62, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB62, 1)) | v129(constB62, 1) | (~v100(constB62))))),
% 54.00/34.17 inference(monotonicity,[status(thm)],[13012])).
% 54.00/34.17 tff(13014,plain,
% 54.00/34.17 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB62, 1)) | (~v100(constB62)) | v129(constB62, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB62, 1)) | v129(constB62, 1) | (~v100(constB62)))),
% 54.00/34.17 inference(transitivity,[status(thm)],[13013, 13011])).
% 54.00/34.17 tff(13015,plain,
% 54.00/34.17 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB62, 1)) | (~v100(constB62)) | v129(constB62, 1))),
% 54.00/34.17 inference(quant_inst,[status(thm)],[])).
% 54.00/34.17 tff(13016,plain,
% 54.00/34.17 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB62, 1)) | v129(constB62, 1) | (~v100(constB62))),
% 54.00/34.17 inference(modus_ponens,[status(thm)],[13015, 13014])).
% 54.00/34.17 tff(13017,plain,
% 54.00/34.17 ((~v90(constB62, 1)) | (~v100(constB62))),
% 54.00/34.17 inference(unit_resolution,[status(thm)],[13016, 1309, 13010])).
% 54.00/34.17 tff(13018,plain,
% 54.00/34.17 (~v90(constB62, 1)),
% 54.00/34.17 inference(unit_resolution,[status(thm)],[13017, 12920])).
% 54.00/34.17 tff(13019,plain,
% 54.00/34.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB62, 1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB62, 1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, 1)))),
% 54.00/34.17 inference(rewrite,[status(thm)],[])).
% 54.00/34.17 tff(13020,plain,
% 54.00/34.17 (((~nextState(constB62, constB63)) | v90(constB62, 1) | v100(constB63) | (~v90(constB63, 1))) <=> (v90(constB62, 1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, 1)))),
% 54.00/34.17 inference(rewrite,[status(thm)],[])).
% 54.00/34.17 tff(13021,plain,
% 54.00/34.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB62, constB63)) | v90(constB62, 1) | v100(constB63) | (~v90(constB63, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB62, 1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, 1))))),
% 54.00/34.17 inference(monotonicity,[status(thm)],[13020])).
% 54.00/34.17 tff(13022,plain,
% 54.00/34.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB62, constB63)) | v90(constB62, 1) | v100(constB63) | (~v90(constB63, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB62, 1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, 1)))),
% 54.00/34.17 inference(transitivity,[status(thm)],[13021, 13019])).
% 54.00/34.17 tff(13023,plain,
% 54.00/34.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB62, constB63)) | v90(constB62, 1) | v100(constB63) | (~v90(constB63, 1)))),
% 54.00/34.17 inference(quant_inst,[status(thm)],[])).
% 54.00/34.17 tff(13024,plain,
% 54.00/34.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB62, 1) | (~nextState(constB62, constB63)) | v100(constB63) | (~v90(constB63, 1))),
% 54.00/34.17 inference(modus_ponens,[status(thm)],[13023, 13022])).
% 54.00/34.17 tff(13025,plain,
% 54.00/34.17 (v90(constB62, 1) | v100(constB63) | (~v90(constB63, 1))),
% 54.00/34.17 inference(unit_resolution,[status(thm)],[13024, 926, 12972])).
% 54.00/34.17 tff(13026,plain,
% 54.00/34.17 (v90(constB62, 1) | (~v90(constB63, 1))),
% 54.00/34.17 inference(unit_resolution,[status(thm)],[13025, 12984])).
% 54.00/34.17 tff(13027,plain,
% 54.00/34.17 (~v90(constB63, 1)),
% 54.00/34.17 inference(unit_resolution,[status(thm)],[13026, 13018])).
% 54.00/34.17 tff(13028,plain,
% 54.00/34.17 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | v130(constB61, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | v130(constB61, 0))),
% 54.00/34.17 inference(rewrite,[status(thm)],[])).
% 54.00/34.17 tff(13029,plain,
% 54.00/34.17 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | v130(constB61, 0))),
% 54.00/34.17 inference(quant_inst,[status(thm)],[])).
% 54.00/34.17 tff(13030,plain,
% 54.00/34.17 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB61) | v120(constB61) | v121(constB61) | v122(constB61) | v123(constB61) | v124(constB61) | v130(constB61, 0)),
% 54.00/34.17 inference(modus_ponens,[status(thm)],[13029, 13028])).
% 54.00/34.17 tff(13031,plain,
% 54.00/34.17 (v130(constB61, 0)),
% 54.00/34.17 inference(unit_resolution,[status(thm)],[13030, 3413, 12944, 12940, 12936, 12932, 12928, 12924])).
% 54.00/34.17 tff(13032,plain,
% 54.00/34.17 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB61) | (~v130(constB61, 0)) | v127(constB61, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB61) | (~v130(constB61, 0)) | v127(constB61, 0))),
% 54.00/34.17 inference(rewrite,[status(thm)],[])).
% 54.00/34.17 tff(13033,plain,
% 54.00/34.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB61) | (~v130(constB61, 0)) | v127(constB61, 0))),
% 54.00/34.17 inference(quant_inst,[status(thm)],[])).
% 54.00/34.17 tff(13034,plain,
% 54.00/34.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB61) | (~v130(constB61, 0)) | v127(constB61, 0)),
% 54.00/34.17 inference(modus_ponens,[status(thm)],[13033, 13032])).
% 54.00/34.17 tff(13035,plain,
% 54.00/34.17 ((~v130(constB61, 0)) | v127(constB61, 0)),
% 54.00/34.17 inference(unit_resolution,[status(thm)],[13034, 1347, 12871])).
% 54.00/34.17 tff(13036,plain,
% 54.00/34.17 (v127(constB61, 0)),
% 54.00/34.17 inference(unit_resolution,[status(thm)],[13035, 13031])).
% 54.00/34.17 tff(13037,plain,
% 54.00/34.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB61, constB62)) | (~v127(constB61, 0)) | v129(constB62, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB61, constB62)) | (~v127(constB61, 0)) | v129(constB62, 0))),
% 54.00/34.17 inference(rewrite,[status(thm)],[])).
% 54.00/34.17 tff(13038,plain,
% 54.00/34.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB61, constB62)) | (~v127(constB61, 0)) | v129(constB62, 0))),
% 54.00/34.17 inference(quant_inst,[status(thm)],[])).
% 54.00/34.17 tff(13039,plain,
% 54.00/34.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB61, constB62)) | (~v127(constB61, 0)) | v129(constB62, 0)),
% 54.00/34.17 inference(modus_ponens,[status(thm)],[13038, 13037])).
% 54.00/34.17 tff(13040,plain,
% 54.00/34.17 ((~v127(constB61, 0)) | v129(constB62, 0)),
% 54.00/34.17 inference(unit_resolution,[status(thm)],[13039, 1362, 12889])).
% 54.00/34.17 tff(13041,plain,
% 54.00/34.17 (v129(constB62, 0)),
% 54.00/34.17 inference(unit_resolution,[status(thm)],[13040, 13036])).
% 54.00/34.17 tff(13042,plain,
% 54.00/34.17 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB62, 0) | (~v129(constB62, 0)) | (~v100(constB62)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB62, 0) | (~v129(constB62, 0)) | (~v100(constB62)))),
% 54.00/34.17 inference(rewrite,[status(thm)],[])).
% 54.00/34.17 tff(13043,plain,
% 54.00/34.17 ((v90(constB62, 0) | (~v100(constB62)) | (~v129(constB62, 0))) <=> (v90(constB62, 0) | (~v129(constB62, 0)) | (~v100(constB62)))),
% 54.00/34.17 inference(rewrite,[status(thm)],[])).
% 54.00/34.17 tff(13044,plain,
% 54.00/34.17 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB62, 0) | (~v100(constB62)) | (~v129(constB62, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB62, 0) | (~v129(constB62, 0)) | (~v100(constB62))))),
% 54.00/34.17 inference(monotonicity,[status(thm)],[13043])).
% 54.00/34.17 tff(13045,plain,
% 54.00/34.17 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB62, 0) | (~v100(constB62)) | (~v129(constB62, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB62, 0) | (~v129(constB62, 0)) | (~v100(constB62)))),
% 54.00/34.17 inference(transitivity,[status(thm)],[13044, 13042])).
% 54.00/34.17 tff(13046,plain,
% 54.00/34.17 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB62, 0) | (~v100(constB62)) | (~v129(constB62, 0)))),
% 54.00/34.17 inference(quant_inst,[status(thm)],[])).
% 54.00/34.17 tff(13047,plain,
% 54.00/34.17 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB62, 0) | (~v129(constB62, 0)) | (~v100(constB62))),
% 54.00/34.17 inference(modus_ponens,[status(thm)],[13046, 13045])).
% 54.00/34.17 tff(13048,plain,
% 54.00/34.17 (v90(constB62, 0) | (~v100(constB62))),
% 54.00/34.17 inference(unit_resolution,[status(thm)],[13047, 1377, 13041])).
% 54.00/34.17 tff(13049,plain,
% 54.00/34.17 (v90(constB62, 0)),
% 54.00/34.17 inference(unit_resolution,[status(thm)],[13048, 12920])).
% 54.00/34.17 tff(13050,plain,
% 54.00/34.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB62, 0)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB62, 0)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, 0))),
% 54.00/34.18 inference(rewrite,[status(thm)],[])).
% 54.00/34.18 tff(13051,plain,
% 54.00/34.18 (((~nextState(constB62, constB63)) | (~v90(constB62, 0)) | v100(constB63) | v90(constB63, 0)) <=> ((~v90(constB62, 0)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, 0))),
% 54.00/34.18 inference(rewrite,[status(thm)],[])).
% 54.00/34.18 tff(13052,plain,
% 54.00/34.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB62, constB63)) | (~v90(constB62, 0)) | v100(constB63) | v90(constB63, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB62, 0)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, 0)))),
% 54.00/34.18 inference(monotonicity,[status(thm)],[13051])).
% 54.00/34.18 tff(13053,plain,
% 54.00/34.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB62, constB63)) | (~v90(constB62, 0)) | v100(constB63) | v90(constB63, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB62, 0)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, 0))),
% 54.00/34.18 inference(transitivity,[status(thm)],[13052, 13050])).
% 54.00/34.18 tff(13054,plain,
% 54.00/34.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB62, constB63)) | (~v90(constB62, 0)) | v100(constB63) | v90(constB63, 0))),
% 54.00/34.18 inference(quant_inst,[status(thm)],[])).
% 54.00/34.18 tff(13055,plain,
% 54.00/34.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB62, 0)) | (~nextState(constB62, constB63)) | v100(constB63) | v90(constB63, 0)),
% 54.00/34.18 inference(modus_ponens,[status(thm)],[13054, 13053])).
% 54.00/34.18 tff(13056,plain,
% 54.00/34.18 ((~v90(constB62, 0)) | v100(constB63) | v90(constB63, 0)),
% 54.00/34.18 inference(unit_resolution,[status(thm)],[13055, 1395, 12972])).
% 54.00/34.18 tff(13057,plain,
% 54.00/34.18 ((~v90(constB62, 0)) | v90(constB63, 0)),
% 54.00/34.18 inference(unit_resolution,[status(thm)],[13056, 12984])).
% 54.00/34.18 tff(13058,plain,
% 54.00/34.18 (v90(constB63, 0)),
% 54.00/34.18 inference(unit_resolution,[status(thm)],[13057, 13049])).
% 54.00/34.18 tff(13059,plain,
% 54.00/34.18 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB63, 0)) | v90(constB63, 1) | v90(constB63, 2) | v120(constB63))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB63, 0)) | v90(constB63, 1) | v90(constB63, 2) | v120(constB63))),
% 54.00/34.18 inference(rewrite,[status(thm)],[])).
% 54.00/34.18 tff(13060,plain,
% 54.00/34.18 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB63, 0)) | v90(constB63, 1) | v90(constB63, 2) | v120(constB63))),
% 54.00/34.18 inference(quant_inst,[status(thm)],[])).
% 54.00/34.18 tff(13061,plain,
% 54.00/34.18 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB63, 0)) | v90(constB63, 1) | v90(constB63, 2) | v120(constB63)),
% 54.00/34.18 inference(modus_ponens,[status(thm)],[13060, 13059])).
% 54.00/34.18 tff(13062,plain,
% 54.00/34.18 (v120(constB63)),
% 54.00/34.18 inference(unit_resolution,[status(thm)],[13061, 1414, 13058, 13027, 12993])).
% 54.00/34.18 tff(13063,plain,
% 54.00/34.18 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB63) | (~v120(constB63)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB63) | (~v120(constB63)))),
% 54.00/34.18 inference(rewrite,[status(thm)],[])).
% 54.00/34.18 tff(13064,plain,
% 54.00/34.18 (((~v120(constB63)) | v118(constB63)) <=> (v118(constB63) | (~v120(constB63)))),
% 54.00/34.18 inference(rewrite,[status(thm)],[])).
% 54.00/34.18 tff(13065,plain,
% 54.00/34.18 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB63)) | v118(constB63))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB63) | (~v120(constB63))))),
% 54.00/34.18 inference(monotonicity,[status(thm)],[13064])).
% 54.00/34.18 tff(13066,plain,
% 54.00/34.18 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB63)) | v118(constB63))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB63) | (~v120(constB63)))),
% 54.00/34.18 inference(transitivity,[status(thm)],[13065, 13063])).
% 54.00/34.18 tff(13067,plain,
% 54.00/34.18 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB63)) | v118(constB63))),
% 54.00/34.18 inference(quant_inst,[status(thm)],[])).
% 54.00/34.18 tff(13068,plain,
% 54.00/34.18 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB63) | (~v120(constB63))),
% 54.00/34.18 inference(modus_ponens,[status(thm)],[13067, 13066])).
% 54.00/34.18 tff(13069,plain,
% 54.00/34.18 (v118(constB63)),
% 54.00/34.18 inference(unit_resolution,[status(thm)],[13068, 1425, 13062])).
% 54.00/34.18 tff(13070,plain,
% 54.00/34.18 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB63) | (~v118(constB63)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB63) | (~v118(constB63)))),
% 54.00/34.18 inference(rewrite,[status(thm)],[])).
% 54.00/34.18 tff(13071,plain,
% 54.00/34.18 (((~v118(constB63)) | v117(constB63)) <=> (v117(constB63) | (~v118(constB63)))),
% 54.00/34.18 inference(rewrite,[status(thm)],[])).
% 54.00/34.18 tff(13072,plain,
% 54.00/34.18 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB63)) | v117(constB63))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB63) | (~v118(constB63))))),
% 54.00/34.18 inference(monotonicity,[status(thm)],[13071])).
% 54.00/34.18 tff(13073,plain,
% 54.00/34.18 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB63)) | v117(constB63))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB63) | (~v118(constB63)))),
% 54.00/34.18 inference(transitivity,[status(thm)],[13072, 13070])).
% 54.00/34.18 tff(13074,plain,
% 54.00/34.18 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB63)) | v117(constB63))),
% 54.00/34.18 inference(quant_inst,[status(thm)],[])).
% 54.00/34.18 tff(13075,plain,
% 54.00/34.18 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB63) | (~v118(constB63))),
% 54.00/34.18 inference(modus_ponens,[status(thm)],[13074, 13073])).
% 54.00/34.18 tff(13076,plain,
% 54.00/34.18 (v117(constB63)),
% 54.00/34.18 inference(unit_resolution,[status(thm)],[13075, 993, 13069])).
% 54.00/34.18 tff(13077,plain,
% 54.00/34.18 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB63)) | v116(constB63))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB63)) | v116(constB63))),
% 54.00/34.18 inference(rewrite,[status(thm)],[])).
% 54.00/34.18 tff(13078,plain,
% 54.00/34.18 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB63)) | v116(constB63))),
% 54.00/34.18 inference(quant_inst,[status(thm)],[])).
% 54.00/34.18 tff(13079,plain,
% 54.00/34.18 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB63)) | v116(constB63)),
% 54.00/34.18 inference(modus_ponens,[status(thm)],[13078, 13077])).
% 54.00/34.18 tff(13080,plain,
% 54.00/34.18 (v116(constB63)),
% 54.00/34.18 inference(unit_resolution,[status(thm)],[13079, 1007, 13076])).
% 54.00/34.18 tff(13081,plain,
% 54.00/34.18 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB63)) | v115(constB63))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB63)) | v115(constB63))),
% 54.00/34.18 inference(rewrite,[status(thm)],[])).
% 54.00/34.18 tff(13082,plain,
% 54.00/34.18 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB63)) | v115(constB63))),
% 54.00/34.18 inference(quant_inst,[status(thm)],[])).
% 54.00/34.18 tff(13083,plain,
% 54.00/34.18 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB63)) | v115(constB63)),
% 54.00/34.18 inference(modus_ponens,[status(thm)],[13082, 13081])).
% 54.00/34.18 tff(13084,plain,
% 54.00/34.18 (v115(constB63)),
% 54.00/34.18 inference(unit_resolution,[status(thm)],[13083, 1021, 13080])).
% 54.00/34.18 tff(13085,plain,
% 54.00/34.18 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB63) | (~v115(constB63)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB63) | (~v115(constB63)))),
% 54.00/34.18 inference(rewrite,[status(thm)],[])).
% 54.00/34.18 tff(13086,plain,
% 54.00/34.18 (((~v115(constB63)) | v114(constB63)) <=> (v114(constB63) | (~v115(constB63)))),
% 54.00/34.18 inference(rewrite,[status(thm)],[])).
% 54.00/34.18 tff(13087,plain,
% 54.00/34.18 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB63)) | v114(constB63))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB63) | (~v115(constB63))))),
% 54.00/34.18 inference(monotonicity,[status(thm)],[13086])).
% 54.00/34.18 tff(13088,plain,
% 54.00/34.18 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB63)) | v114(constB63))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB63) | (~v115(constB63)))),
% 54.00/34.18 inference(transitivity,[status(thm)],[13087, 13085])).
% 54.00/34.18 tff(13089,plain,
% 54.00/34.18 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB63)) | v114(constB63))),
% 54.00/34.18 inference(quant_inst,[status(thm)],[])).
% 54.00/34.18 tff(13090,plain,
% 54.00/34.18 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB63) | (~v115(constB63))),
% 54.00/34.18 inference(modus_ponens,[status(thm)],[13089, 13088])).
% 54.00/34.18 tff(13091,plain,
% 54.00/34.18 (v114(constB63)),
% 54.00/34.18 inference(unit_resolution,[status(thm)],[13090, 1035, 13084])).
% 54.00/34.18 tff(13092,plain,
% 54.00/34.18 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB63) | (~v114(constB63)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB63) | (~v114(constB63)))),
% 54.00/34.18 inference(rewrite,[status(thm)],[])).
% 54.00/34.18 tff(13093,plain,
% 54.00/34.18 (((~v114(constB63)) | v113(constB63)) <=> (v113(constB63) | (~v114(constB63)))),
% 54.00/34.18 inference(rewrite,[status(thm)],[])).
% 54.00/34.18 tff(13094,plain,
% 54.00/34.18 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB63)) | v113(constB63))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB63) | (~v114(constB63))))),
% 54.00/34.18 inference(monotonicity,[status(thm)],[13093])).
% 54.00/34.18 tff(13095,plain,
% 54.00/34.18 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB63)) | v113(constB63))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB63) | (~v114(constB63)))),
% 54.00/34.18 inference(transitivity,[status(thm)],[13094, 13092])).
% 54.00/34.18 tff(13096,plain,
% 54.00/34.18 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB63)) | v113(constB63))),
% 54.00/34.18 inference(quant_inst,[status(thm)],[])).
% 54.00/34.18 tff(13097,plain,
% 54.00/34.18 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB63) | (~v114(constB63))),
% 54.00/34.18 inference(modus_ponens,[status(thm)],[13096, 13095])).
% 54.00/34.18 tff(13098,plain,
% 54.00/34.18 (v113(constB63)),
% 54.00/34.18 inference(unit_resolution,[status(thm)],[13097, 1049, 13091])).
% 54.00/34.18 tff(13099,assumption,(v26(constB63)), introduced(assumption)).
% 54.00/34.18 tff(13100,plain,
% 54.00/34.18 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB63))),
% 54.00/34.18 inference(quant_inst,[status(thm)],[])).
% 54.00/34.18 tff(13101,plain,
% 54.00/34.18 ($false),
% 54.00/34.18 inference(unit_resolution,[status(thm)],[13100, 828, 13099])).
% 54.00/34.18 tff(13102,plain,(~v26(constB63)), inference(lemma,lemma(discharge,[]))).
% 54.00/34.18 tff(13103,plain,
% 54.00/34.18 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB63) | (~v113(constB63)) | v112(constB63))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB63) | (~v113(constB63)) | v112(constB63))),
% 54.00/34.18 inference(rewrite,[status(thm)],[])).
% 54.00/34.18 tff(13104,plain,
% 54.00/34.18 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB63) | (~v113(constB63)) | v112(constB63))),
% 54.00/34.18 inference(quant_inst,[status(thm)],[])).
% 54.00/34.18 tff(13105,plain,
% 54.00/34.18 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB63) | (~v113(constB63)) | v112(constB63)),
% 54.00/34.18 inference(modus_ponens,[status(thm)],[13104, 13103])).
% 54.00/34.18 tff(13106,plain,
% 54.00/34.18 ((~v113(constB63)) | v112(constB63)),
% 54.00/34.18 inference(unit_resolution,[status(thm)],[13105, 1063, 13102])).
% 54.00/34.18 tff(13107,plain,
% 54.00/34.18 (v112(constB63)),
% 54.00/34.18 inference(unit_resolution,[status(thm)],[13106, 13098])).
% 54.00/34.18 tff(13108,plain,
% 54.00/34.18 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB63) | (~v112(constB63)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB63) | (~v112(constB63)))),
% 54.00/34.18 inference(rewrite,[status(thm)],[])).
% 54.00/34.18 tff(13109,plain,
% 54.00/34.18 (((~v112(constB63)) | v108(constB63)) <=> (v108(constB63) | (~v112(constB63)))),
% 54.00/34.18 inference(rewrite,[status(thm)],[])).
% 54.00/34.18 tff(13110,plain,
% 54.00/34.18 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB63)) | v108(constB63))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB63) | (~v112(constB63))))),
% 54.00/34.18 inference(monotonicity,[status(thm)],[13109])).
% 54.00/34.18 tff(13111,plain,
% 54.00/34.18 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB63)) | v108(constB63))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB63) | (~v112(constB63)))),
% 54.00/34.18 inference(transitivity,[status(thm)],[13110, 13108])).
% 54.00/34.18 tff(13112,plain,
% 54.00/34.18 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB63)) | v108(constB63))),
% 54.00/34.18 inference(quant_inst,[status(thm)],[])).
% 54.00/34.18 tff(13113,plain,
% 54.00/34.18 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB63) | (~v112(constB63))),
% 54.00/34.18 inference(modus_ponens,[status(thm)],[13112, 13111])).
% 54.00/34.18 tff(13114,plain,
% 54.00/34.18 (v108(constB63)),
% 54.00/34.18 inference(unit_resolution,[status(thm)],[13113, 1075, 13107])).
% 54.00/34.18 tff(13115,plain,
% 54.00/34.18 (nextState(constB63, constB64) <=> nextState(constB63, constB64)),
% 54.00/34.18 inference(rewrite,[status(thm)],[])).
% 54.00/34.18 tff(13116,axiom,(nextState(constB63, constB64)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_63_1')).
% 54.00/34.18 tff(13117,plain,
% 54.00/34.18 (nextState(constB63, constB64)),
% 54.00/34.18 inference(modus_ponens,[status(thm)],[13116, 13115])).
% 54.00/34.18 tff(13118,plain,
% 54.00/34.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63)))),
% 54.00/34.18 inference(rewrite,[status(thm)],[])).
% 54.00/34.18 tff(13119,plain,
% 54.00/34.18 (((~nextState(constB63, constB64)) | (~v108(constB63)) | v110(constB64)) <=> ((~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63)))),
% 54.00/34.18 inference(rewrite,[status(thm)],[])).
% 54.00/34.18 tff(13120,plain,
% 54.00/34.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB63, constB64)) | (~v108(constB63)) | v110(constB64))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63))))),
% 54.00/34.18 inference(monotonicity,[status(thm)],[13119])).
% 54.00/34.18 tff(13121,plain,
% 54.00/34.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB63, constB64)) | (~v108(constB63)) | v110(constB64))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63)))),
% 54.00/34.18 inference(transitivity,[status(thm)],[13120, 13118])).
% 54.00/34.18 tff(13122,plain,
% 54.00/34.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB63, constB64)) | (~v108(constB63)) | v110(constB64))),
% 54.00/34.18 inference(quant_inst,[status(thm)],[])).
% 54.00/34.18 tff(13123,plain,
% 54.00/34.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB63, constB64)) | v110(constB64) | (~v108(constB63))),
% 54.00/34.18 inference(modus_ponens,[status(thm)],[13122, 13121])).
% 54.00/34.18 tff(13124,plain,
% 54.00/34.18 (v110(constB64) | (~v108(constB63))),
% 54.00/34.18 inference(unit_resolution,[status(thm)],[13123, 1095, 13117])).
% 54.00/34.18 tff(13125,plain,
% 54.00/34.18 (v110(constB64)),
% 54.00/34.18 inference(unit_resolution,[status(thm)],[13124, 13114])).
% 54.00/34.18 tff(13126,plain,
% 54.00/34.18 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB63) | (~nextState(constB63, constB64)) | (~v104(constB64)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB63) | (~nextState(constB63, constB64)) | (~v104(constB64)))),
% 54.00/34.18 inference(rewrite,[status(thm)],[])).
% 54.00/34.18 tff(13127,plain,
% 54.00/34.18 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB63) | (~nextState(constB63, constB64)) | (~v104(constB64)))),
% 54.00/34.18 inference(quant_inst,[status(thm)],[])).
% 54.00/34.18 tff(13128,plain,
% 54.00/34.18 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB63) | (~nextState(constB63, constB64)) | (~v104(constB64))),
% 54.00/34.18 inference(modus_ponens,[status(thm)],[13127, 13126])).
% 54.00/34.18 tff(13129,plain,
% 54.00/34.18 (~v104(constB64)),
% 54.00/34.18 inference(unit_resolution,[status(thm)],[13128, 1113, 13117, 12969])).
% 54.00/34.18 tff(13130,plain,
% 54.00/34.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB63, constB64)) | v102(constB64) | v104(constB64))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB63, constB64)) | v102(constB64) | v104(constB64))),
% 54.00/34.18 inference(rewrite,[status(thm)],[])).
% 54.00/34.18 tff(13131,plain,
% 54.00/34.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB63, constB64)) | v102(constB64) | v104(constB64))),
% 54.00/34.18 inference(quant_inst,[status(thm)],[])).
% 54.00/34.18 tff(13132,plain,
% 54.00/34.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB63, constB64)) | v102(constB64) | v104(constB64)),
% 54.00/34.18 inference(modus_ponens,[status(thm)],[13131, 13130])).
% 54.00/34.18 tff(13133,plain,
% 54.00/34.18 (v102(constB64) | v104(constB64)),
% 54.00/34.18 inference(unit_resolution,[status(thm)],[13132, 1127, 13117])).
% 54.00/34.18 tff(13134,plain,
% 54.00/34.18 (v102(constB64)),
% 54.00/34.18 inference(unit_resolution,[status(thm)],[13133, 13129])).
% 54.00/34.18 tff(13135,plain,
% 54.00/34.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB63, constB64)) | v101(constB64) | (~v102(constB64)) | (~v1(constB64)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB63, constB64)) | v101(constB64) | (~v102(constB64)) | (~v1(constB64)))),
% 54.00/34.18 inference(rewrite,[status(thm)],[])).
% 54.00/34.18 tff(13136,plain,
% 54.00/34.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB63, constB64)) | v101(constB64) | (~v102(constB64)) | (~v1(constB64)))),
% 54.00/34.18 inference(quant_inst,[status(thm)],[])).
% 54.00/34.18 tff(13137,plain,
% 54.00/34.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB63, constB64)) | v101(constB64) | (~v102(constB64)) | (~v1(constB64))),
% 54.00/34.18 inference(modus_ponens,[status(thm)],[13136, 13135])).
% 54.00/34.18 tff(13138,plain,
% 54.00/34.18 (v101(constB64) | (~v102(constB64))),
% 54.00/34.18 inference(unit_resolution,[status(thm)],[13137, 1145, 13117, 629])).
% 54.00/34.18 tff(13139,plain,
% 54.00/34.18 (v101(constB64)),
% 54.00/34.18 inference(unit_resolution,[status(thm)],[13138, 13134])).
% 54.00/34.18 tff(13140,plain,
% 54.00/34.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64)))),
% 54.00/34.18 inference(rewrite,[status(thm)],[])).
% 54.00/34.18 tff(13141,plain,
% 54.00/34.18 (((~nextState(constB63, constB64)) | (~v101(constB64)) | (~v110(constB64)) | v100(constB64)) <=> ((~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64)))),
% 54.00/34.18 inference(rewrite,[status(thm)],[])).
% 54.00/34.18 tff(13142,plain,
% 54.00/34.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB63, constB64)) | (~v101(constB64)) | (~v110(constB64)) | v100(constB64))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64))))),
% 54.00/34.18 inference(monotonicity,[status(thm)],[13141])).
% 54.00/34.18 tff(13143,plain,
% 54.00/34.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB63, constB64)) | (~v101(constB64)) | (~v110(constB64)) | v100(constB64))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64)))),
% 54.00/34.18 inference(transitivity,[status(thm)],[13142, 13140])).
% 54.00/34.18 tff(13144,plain,
% 54.00/34.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB63, constB64)) | (~v101(constB64)) | (~v110(constB64)) | v100(constB64))),
% 54.00/34.18 inference(quant_inst,[status(thm)],[])).
% 54.00/34.18 tff(13145,plain,
% 54.00/34.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB63, constB64)) | v100(constB64) | (~v101(constB64)) | (~v110(constB64))),
% 54.00/34.18 inference(modus_ponens,[status(thm)],[13144, 13143])).
% 54.00/34.18 tff(13146,plain,
% 54.00/34.18 (v100(constB64) | (~v101(constB64)) | (~v110(constB64))),
% 54.00/34.18 inference(unit_resolution,[status(thm)],[13145, 1160, 13117])).
% 54.00/34.18 tff(13147,plain,
% 54.00/34.18 (v100(constB64) | (~v110(constB64))),
% 54.00/34.18 inference(unit_resolution,[status(thm)],[13146, 13139])).
% 54.00/34.18 tff(13148,plain,
% 54.00/34.18 (v100(constB64)),
% 54.00/34.18 inference(unit_resolution,[status(thm)],[13147, 13125])).
% 54.00/34.18 tff(13149,plain,
% 54.00/34.18 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB63)) | (~v130(constB63, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB63)) | (~v130(constB63, 2)))),
% 54.00/34.18 inference(rewrite,[status(thm)],[])).
% 54.00/34.18 tff(13150,plain,
% 54.00/34.18 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB63)) | (~v130(constB63, 2)))),
% 54.00/34.18 inference(quant_inst,[status(thm)],[])).
% 54.00/34.18 tff(13151,plain,
% 54.00/34.18 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB63)) | (~v130(constB63, 2))),
% 54.00/34.18 inference(modus_ponens,[status(thm)],[13150, 13149])).
% 54.00/34.18 tff(13152,plain,
% 54.00/34.18 (~v130(constB63, 2)),
% 54.00/34.18 inference(unit_resolution,[status(thm)],[13151, 1523, 13062])).
% 54.00/34.18 tff(13153,plain,
% 54.00/34.18 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB63, 2)) | v26(constB63) | v130(constB63, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB63, 2)) | v26(constB63) | v130(constB63, 2))),
% 54.00/34.18 inference(rewrite,[status(thm)],[])).
% 54.00/34.18 tff(13154,plain,
% 54.00/34.18 ((v26(constB63) | v130(constB63, 2) | (~v127(constB63, 2))) <=> ((~v127(constB63, 2)) | v26(constB63) | v130(constB63, 2))),
% 54.00/34.18 inference(rewrite,[status(thm)],[])).
% 54.00/34.18 tff(13155,plain,
% 54.00/34.18 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB63) | v130(constB63, 2) | (~v127(constB63, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB63, 2)) | v26(constB63) | v130(constB63, 2)))),
% 54.00/34.18 inference(monotonicity,[status(thm)],[13154])).
% 54.00/34.18 tff(13156,plain,
% 54.00/34.18 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB63) | v130(constB63, 2) | (~v127(constB63, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB63, 2)) | v26(constB63) | v130(constB63, 2))),
% 54.00/34.18 inference(transitivity,[status(thm)],[13155, 13153])).
% 54.00/34.18 tff(13157,plain,
% 54.00/34.18 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB63) | v130(constB63, 2) | (~v127(constB63, 2)))),
% 54.00/34.18 inference(quant_inst,[status(thm)],[])).
% 54.00/34.18 tff(13158,plain,
% 54.00/34.18 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB63, 2)) | v26(constB63) | v130(constB63, 2)),
% 54.00/34.18 inference(modus_ponens,[status(thm)],[13157, 13156])).
% 54.00/34.18 tff(13159,plain,
% 54.00/34.18 ((~v127(constB63, 2)) | v130(constB63, 2)),
% 54.00/34.18 inference(unit_resolution,[status(thm)],[13158, 1190, 13102])).
% 54.00/34.18 tff(13160,plain,
% 54.00/34.18 (~v127(constB63, 2)),
% 54.00/34.18 inference(unit_resolution,[status(thm)],[13159, 13152])).
% 54.00/34.18 tff(13161,plain,
% 54.00/34.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB63, constB64)) | v127(constB63, 2) | (~v129(constB64, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB63, constB64)) | v127(constB63, 2) | (~v129(constB64, 2)))),
% 54.00/34.18 inference(rewrite,[status(thm)],[])).
% 54.00/34.18 tff(13162,plain,
% 54.00/34.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB63, constB64)) | v127(constB63, 2) | (~v129(constB64, 2)))),
% 54.00/34.18 inference(quant_inst,[status(thm)],[])).
% 54.00/34.18 tff(13163,plain,
% 54.00/34.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB63, constB64)) | v127(constB63, 2) | (~v129(constB64, 2))),
% 54.00/34.18 inference(modus_ponens,[status(thm)],[13162, 13161])).
% 54.00/34.18 tff(13164,plain,
% 54.00/34.18 (v127(constB63, 2) | (~v129(constB64, 2))),
% 54.00/34.18 inference(unit_resolution,[status(thm)],[13163, 1208, 13117])).
% 54.00/34.18 tff(13165,plain,
% 54.00/34.18 (~v129(constB64, 2)),
% 54.00/34.18 inference(unit_resolution,[status(thm)],[13164, 13160])).
% 54.00/34.18 tff(13166,plain,
% 54.00/34.18 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB64, 2)) | v129(constB64, 2) | (~v100(constB64)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB64, 2)) | v129(constB64, 2) | (~v100(constB64)))),
% 54.00/34.18 inference(rewrite,[status(thm)],[])).
% 54.00/34.18 tff(13167,plain,
% 54.00/34.18 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB64, 2)) | v129(constB64, 2) | (~v100(constB64)))),
% 54.00/34.18 inference(quant_inst,[status(thm)],[])).
% 54.00/34.18 tff(13168,plain,
% 54.00/34.18 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB64, 2)) | v129(constB64, 2) | (~v100(constB64))),
% 54.00/34.18 inference(modus_ponens,[status(thm)],[13167, 13166])).
% 54.00/34.18 tff(13169,plain,
% 54.00/34.18 ((~v90(constB64, 2)) | (~v100(constB64))),
% 54.00/34.18 inference(unit_resolution,[status(thm)],[13168, 1223, 13165])).
% 54.00/34.18 tff(13170,plain,
% 54.00/34.18 (~v90(constB64, 2)),
% 54.00/34.18 inference(unit_resolution,[status(thm)],[13169, 13148])).
% 54.00/34.18 tff(13171,plain,
% 54.00/34.18 ((~v1(constB65)) <=> (~v1(constB65))),
% 54.00/34.18 inference(rewrite,[status(thm)],[])).
% 54.00/34.18 tff(13172,axiom,(~v1(constB65)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_65_1_1')).
% 54.00/34.18 tff(13173,plain,
% 54.00/34.18 (~v1(constB65)),
% 54.00/34.18 inference(modus_ponens,[status(thm)],[13172, 13171])).
% 54.00/34.18 tff(13174,plain,
% 54.00/34.18 (nextState(constB64, constB65) <=> nextState(constB64, constB65)),
% 54.00/34.18 inference(rewrite,[status(thm)],[])).
% 54.00/34.18 tff(13175,axiom,(nextState(constB64, constB65)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_64_1')).
% 54.00/34.18 tff(13176,plain,
% 54.00/34.18 (nextState(constB64, constB65)),
% 54.00/34.18 inference(modus_ponens,[status(thm)],[13175, 13174])).
% 54.00/34.18 tff(13177,plain,
% 54.00/34.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65)))),
% 54.00/34.18 inference(rewrite,[status(thm)],[])).
% 54.00/34.18 tff(13178,plain,
% 54.00/34.18 (((~nextState(constB64, constB65)) | (~v101(constB65)) | v1(constB65)) <=> (v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65)))),
% 54.00/34.18 inference(rewrite,[status(thm)],[])).
% 54.00/34.18 tff(13179,plain,
% 54.00/34.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB64, constB65)) | (~v101(constB65)) | v1(constB65))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65))))),
% 54.00/34.18 inference(monotonicity,[status(thm)],[13178])).
% 54.00/34.18 tff(13180,plain,
% 54.00/34.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB64, constB65)) | (~v101(constB65)) | v1(constB65))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65)))),
% 54.00/34.18 inference(transitivity,[status(thm)],[13179, 13177])).
% 54.00/34.18 tff(13181,plain,
% 54.00/34.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB64, constB65)) | (~v101(constB65)) | v1(constB65))),
% 54.00/34.18 inference(quant_inst,[status(thm)],[])).
% 54.00/34.18 tff(13182,plain,
% 54.00/34.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB65) | (~nextState(constB64, constB65)) | (~v101(constB65))),
% 54.00/34.18 inference(modus_ponens,[status(thm)],[13181, 13180])).
% 54.00/34.18 tff(13183,plain,
% 54.00/34.18 (~v101(constB65)),
% 54.00/34.18 inference(unit_resolution,[status(thm)],[13182, 873, 13176, 13173])).
% 54.00/34.18 tff(13184,plain,
% 54.00/34.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB64, constB65)) | v101(constB65) | (~v100(constB65)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB64, constB65)) | v101(constB65) | (~v100(constB65)))),
% 54.00/34.18 inference(rewrite,[status(thm)],[])).
% 54.00/34.18 tff(13185,plain,
% 54.00/34.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB64, constB65)) | v101(constB65) | (~v100(constB65)))),
% 54.00/34.18 inference(quant_inst,[status(thm)],[])).
% 54.00/34.18 tff(13186,plain,
% 54.00/34.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB64, constB65)) | v101(constB65) | (~v100(constB65))),
% 54.00/34.18 inference(modus_ponens,[status(thm)],[13185, 13184])).
% 54.00/34.18 tff(13187,plain,
% 54.00/34.18 (v101(constB65) | (~v100(constB65))),
% 54.00/34.18 inference(unit_resolution,[status(thm)],[13186, 890, 13176])).
% 54.00/34.18 tff(13188,plain,
% 54.00/34.18 (~v100(constB65)),
% 54.00/34.18 inference(unit_resolution,[status(thm)],[13187, 13183])).
% 54.00/34.18 tff(13189,plain,
% 54.00/34.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB64, 2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB64, 2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, 2)))),
% 54.00/34.18 inference(rewrite,[status(thm)],[])).
% 54.00/34.18 tff(13190,plain,
% 54.00/34.18 (((~nextState(constB64, constB65)) | v90(constB64, 2) | v100(constB65) | (~v90(constB65, 2))) <=> (v90(constB64, 2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, 2)))),
% 54.00/34.18 inference(rewrite,[status(thm)],[])).
% 54.00/34.18 tff(13191,plain,
% 54.00/34.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB64, constB65)) | v90(constB64, 2) | v100(constB65) | (~v90(constB65, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB64, 2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, 2))))),
% 54.00/34.18 inference(monotonicity,[status(thm)],[13190])).
% 54.00/34.18 tff(13192,plain,
% 54.00/34.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB64, constB65)) | v90(constB64, 2) | v100(constB65) | (~v90(constB65, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB64, 2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, 2)))),
% 54.00/34.18 inference(transitivity,[status(thm)],[13191, 13189])).
% 54.00/34.18 tff(13193,plain,
% 54.00/34.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB64, constB65)) | v90(constB64, 2) | v100(constB65) | (~v90(constB65, 2)))),
% 54.00/34.18 inference(quant_inst,[status(thm)],[])).
% 54.00/34.18 tff(13194,plain,
% 54.00/34.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB64, 2) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, 2))),
% 54.00/34.18 inference(modus_ponens,[status(thm)],[13193, 13192])).
% 54.00/34.18 tff(13195,plain,
% 54.00/34.18 (v90(constB64, 2) | v100(constB65) | (~v90(constB65, 2))),
% 54.00/34.18 inference(unit_resolution,[status(thm)],[13194, 905, 13176])).
% 54.00/34.18 tff(13196,plain,
% 54.00/34.18 (v90(constB64, 2) | (~v90(constB65, 2))),
% 54.00/34.18 inference(unit_resolution,[status(thm)],[13195, 13188])).
% 54.00/34.18 tff(13197,plain,
% 54.00/34.18 (~v90(constB65, 2)),
% 54.00/34.18 inference(unit_resolution,[status(thm)],[13196, 13170])).
% 54.00/34.18 tff(13198,assumption,(~v116(constB65)), introduced(assumption)).
% 54.00/34.18 tff(13199,plain,
% 54.00/34.18 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB65) | (~v117(constB65)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB65) | (~v117(constB65)))),
% 54.00/34.18 inference(rewrite,[status(thm)],[])).
% 54.00/34.18 tff(13200,plain,
% 54.00/34.18 (((~v117(constB65)) | v116(constB65)) <=> (v116(constB65) | (~v117(constB65)))),
% 54.00/34.18 inference(rewrite,[status(thm)],[])).
% 54.00/34.18 tff(13201,plain,
% 54.00/34.18 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB65)) | v116(constB65))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB65) | (~v117(constB65))))),
% 54.00/34.18 inference(monotonicity,[status(thm)],[13200])).
% 54.00/34.18 tff(13202,plain,
% 54.00/34.18 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB65)) | v116(constB65))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB65) | (~v117(constB65)))),
% 54.00/34.18 inference(transitivity,[status(thm)],[13201, 13199])).
% 54.00/34.18 tff(13203,plain,
% 54.00/34.18 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB65)) | v116(constB65))),
% 54.00/34.18 inference(quant_inst,[status(thm)],[])).
% 54.00/34.18 tff(13204,plain,
% 54.00/34.18 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB65) | (~v117(constB65))),
% 54.00/34.18 inference(modus_ponens,[status(thm)],[13203, 13202])).
% 54.00/34.18 tff(13205,plain,
% 54.00/34.18 (~v117(constB65)),
% 54.00/34.18 inference(unit_resolution,[status(thm)],[13204, 1007, 13198])).
% 54.00/34.18 tff(13206,plain,
% 54.00/34.18 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB65)) | v117(constB65))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB65)) | v117(constB65))),
% 54.00/34.18 inference(rewrite,[status(thm)],[])).
% 54.00/34.18 tff(13207,plain,
% 54.00/34.18 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB65)) | v117(constB65))),
% 54.00/34.18 inference(quant_inst,[status(thm)],[])).
% 54.00/34.18 tff(13208,plain,
% 54.00/34.18 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB65)) | v117(constB65)),
% 54.00/34.18 inference(modus_ponens,[status(thm)],[13207, 13206])).
% 54.00/34.18 tff(13209,plain,
% 54.00/34.18 (~v121(constB65)),
% 54.00/34.18 inference(unit_resolution,[status(thm)],[13208, 1742, 13205])).
% 54.00/34.18 tff(13210,assumption,(~v90(constB65, 2)), introduced(assumption)).
% 54.00/34.18 tff(13211,plain,
% 54.00/34.18 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB65) | (~v118(constB65)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB65) | (~v118(constB65)))),
% 54.00/34.18 inference(rewrite,[status(thm)],[])).
% 54.00/34.18 tff(13212,plain,
% 54.00/34.18 (((~v118(constB65)) | v117(constB65)) <=> (v117(constB65) | (~v118(constB65)))),
% 54.00/34.18 inference(rewrite,[status(thm)],[])).
% 54.00/34.18 tff(13213,plain,
% 54.00/34.18 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB65)) | v117(constB65))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB65) | (~v118(constB65))))),
% 54.00/34.18 inference(monotonicity,[status(thm)],[13212])).
% 54.00/34.18 tff(13214,plain,
% 54.00/34.18 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB65)) | v117(constB65))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB65) | (~v118(constB65)))),
% 54.00/34.18 inference(transitivity,[status(thm)],[13213, 13211])).
% 54.00/34.18 tff(13215,plain,
% 54.00/34.18 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB65)) | v117(constB65))),
% 54.00/34.18 inference(quant_inst,[status(thm)],[])).
% 54.00/34.18 tff(13216,plain,
% 54.00/34.18 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB65) | (~v118(constB65))),
% 54.00/34.18 inference(modus_ponens,[status(thm)],[13215, 13214])).
% 54.00/34.18 tff(13217,plain,
% 54.00/34.18 (~v118(constB65)),
% 54.00/34.18 inference(unit_resolution,[status(thm)],[13216, 993, 13205])).
% 54.00/34.18 tff(13218,assumption,(~v118(constB65)), introduced(assumption)).
% 54.00/34.18 tff(13219,plain,
% 54.00/34.18 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB65) | (~v119(constB65)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB65) | (~v119(constB65)))),
% 54.00/34.18 inference(rewrite,[status(thm)],[])).
% 54.00/34.18 tff(13220,plain,
% 54.00/34.18 (((~v119(constB65)) | v118(constB65)) <=> (v118(constB65) | (~v119(constB65)))),
% 54.00/34.18 inference(rewrite,[status(thm)],[])).
% 54.00/34.18 tff(13221,plain,
% 54.00/34.18 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB65)) | v118(constB65))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB65) | (~v119(constB65))))),
% 54.00/34.18 inference(monotonicity,[status(thm)],[13220])).
% 54.00/34.18 tff(13222,plain,
% 54.00/34.18 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB65)) | v118(constB65))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB65) | (~v119(constB65)))),
% 54.00/34.18 inference(transitivity,[status(thm)],[13221, 13219])).
% 54.00/34.18 tff(13223,plain,
% 54.00/34.18 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB65)) | v118(constB65))),
% 54.00/34.18 inference(quant_inst,[status(thm)],[])).
% 54.00/34.18 tff(13224,plain,
% 54.00/34.18 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB65) | (~v119(constB65))),
% 54.00/34.18 inference(modus_ponens,[status(thm)],[13223, 13222])).
% 54.00/34.18 tff(13225,plain,
% 54.00/34.18 (~v119(constB65)),
% 54.00/34.18 inference(unit_resolution,[status(thm)],[13224, 982, 13218])).
% 54.00/34.18 tff(13226,plain,
% 54.00/34.18 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB65) | (~v120(constB65)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB65) | (~v120(constB65)))),
% 54.00/34.18 inference(rewrite,[status(thm)],[])).
% 54.00/34.18 tff(13227,plain,
% 54.00/34.18 (((~v120(constB65)) | v118(constB65)) <=> (v118(constB65) | (~v120(constB65)))),
% 54.00/34.18 inference(rewrite,[status(thm)],[])).
% 54.00/34.18 tff(13228,plain,
% 54.00/34.18 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB65)) | v118(constB65))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB65) | (~v120(constB65))))),
% 54.00/34.18 inference(monotonicity,[status(thm)],[13227])).
% 54.00/34.18 tff(13229,plain,
% 54.00/34.18 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB65)) | v118(constB65))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB65) | (~v120(constB65)))),
% 54.00/34.18 inference(transitivity,[status(thm)],[13228, 13226])).
% 54.00/34.18 tff(13230,plain,
% 54.00/34.18 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB65)) | v118(constB65))),
% 54.00/34.18 inference(quant_inst,[status(thm)],[])).
% 54.00/34.18 tff(13231,plain,
% 54.00/34.18 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB65) | (~v120(constB65))),
% 54.00/34.18 inference(modus_ponens,[status(thm)],[13230, 13229])).
% 54.00/34.18 tff(13232,plain,
% 54.00/34.18 (~v120(constB65)),
% 54.00/34.18 inference(unit_resolution,[status(thm)],[13231, 1425, 13218])).
% 54.00/34.18 tff(13233,assumption,(~v90(constB65, 1)), introduced(assumption)).
% 54.00/34.18 tff(13234,plain,
% 54.00/34.18 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB65, 0)) | v90(constB65, 1) | v90(constB65, 2) | v120(constB65))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB65, 0)) | v90(constB65, 1) | v90(constB65, 2) | v120(constB65))),
% 54.00/34.18 inference(rewrite,[status(thm)],[])).
% 54.00/34.18 tff(13235,plain,
% 54.00/34.18 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB65, 0)) | v90(constB65, 1) | v90(constB65, 2) | v120(constB65))),
% 54.00/34.18 inference(quant_inst,[status(thm)],[])).
% 54.00/34.18 tff(13236,plain,
% 54.00/34.18 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB65, 0)) | v90(constB65, 1) | v90(constB65, 2) | v120(constB65)),
% 54.00/34.18 inference(modus_ponens,[status(thm)],[13235, 13234])).
% 54.00/34.18 tff(13237,plain,
% 54.00/34.18 ((~v90(constB65, 0)) | v90(constB65, 2) | v120(constB65)),
% 54.00/34.18 inference(unit_resolution,[status(thm)],[13236, 1414, 13233])).
% 54.00/34.18 tff(13238,plain,
% 54.00/34.18 (~v90(constB65, 0)),
% 54.00/34.18 inference(unit_resolution,[status(thm)],[13237, 13232, 13210])).
% 54.00/34.18 tff(13239,plain,
% 54.00/34.18 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB65, 0) | v90(constB65, 1) | v90(constB65, 2) | v119(constB65))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB65, 0) | v90(constB65, 1) | v90(constB65, 2) | v119(constB65))),
% 54.00/34.18 inference(rewrite,[status(thm)],[])).
% 54.00/34.18 tff(13240,plain,
% 54.00/34.18 ((v90(constB65, 0) | v119(constB65) | v90(constB65, 1) | v90(constB65, 2)) <=> (v90(constB65, 0) | v90(constB65, 1) | v90(constB65, 2) | v119(constB65))),
% 54.00/34.18 inference(rewrite,[status(thm)],[])).
% 54.00/34.18 tff(13241,plain,
% 54.00/34.18 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB65, 0) | v119(constB65) | v90(constB65, 1) | v90(constB65, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB65, 0) | v90(constB65, 1) | v90(constB65, 2) | v119(constB65)))),
% 54.00/34.18 inference(monotonicity,[status(thm)],[13240])).
% 54.00/34.18 tff(13242,plain,
% 54.00/34.18 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB65, 0) | v119(constB65) | v90(constB65, 1) | v90(constB65, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB65, 0) | v90(constB65, 1) | v90(constB65, 2) | v119(constB65))),
% 54.00/34.18 inference(transitivity,[status(thm)],[13241, 13239])).
% 54.00/34.18 tff(13243,plain,
% 54.00/34.18 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB65, 0) | v119(constB65) | v90(constB65, 1) | v90(constB65, 2))),
% 54.00/34.18 inference(quant_inst,[status(thm)],[])).
% 54.00/34.18 tff(13244,plain,
% 54.00/34.18 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB65, 0) | v90(constB65, 1) | v90(constB65, 2) | v119(constB65)),
% 54.00/34.18 inference(modus_ponens,[status(thm)],[13243, 13242])).
% 54.00/34.18 tff(13245,plain,
% 54.00/34.18 (v90(constB65, 0) | v90(constB65, 2) | v119(constB65)),
% 54.00/34.18 inference(unit_resolution,[status(thm)],[13244, 968, 13233])).
% 54.00/34.18 tff(13246,plain,
% 54.00/34.18 ($false),
% 54.00/34.18 inference(unit_resolution,[status(thm)],[13245, 13238, 13225, 13210])).
% 54.00/34.18 tff(13247,plain,(v118(constB65) | v90(constB65, 2) | v90(constB65, 1)), inference(lemma,lemma(discharge,[]))).
% 54.00/34.18 tff(13248,plain,
% 54.00/34.18 (v90(constB65, 1)),
% 54.00/34.18 inference(unit_resolution,[status(thm)],[13247, 13217, 13210])).
% 54.00/34.18 tff(13249,plain,
% 54.00/34.18 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB65)) | v116(constB65))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB65)) | v116(constB65))),
% 54.00/34.18 inference(rewrite,[status(thm)],[])).
% 54.00/34.18 tff(13250,plain,
% 54.00/34.18 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB65)) | v116(constB65))),
% 54.00/34.18 inference(quant_inst,[status(thm)],[])).
% 54.00/34.18 tff(13251,plain,
% 54.00/34.18 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB65)) | v116(constB65)),
% 54.00/34.18 inference(modus_ponens,[status(thm)],[13250, 13249])).
% 54.00/34.18 tff(13252,plain,
% 54.00/34.18 (~v122(constB65)),
% 54.00/34.18 inference(unit_resolution,[status(thm)],[13251, 2120, 13198])).
% 54.00/34.18 tff(13253,plain,
% 54.00/34.18 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB65, 0)) | (~v90(constB65, 1)) | v90(constB65, 2) | v122(constB65))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB65, 0)) | (~v90(constB65, 1)) | v90(constB65, 2) | v122(constB65))),
% 54.00/34.18 inference(rewrite,[status(thm)],[])).
% 54.00/34.18 tff(13254,plain,
% 54.00/34.18 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB65, 0)) | (~v90(constB65, 1)) | v90(constB65, 2) | v122(constB65))),
% 54.00/34.18 inference(quant_inst,[status(thm)],[])).
% 54.00/34.18 tff(13255,plain,
% 54.00/34.18 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB65, 0)) | (~v90(constB65, 1)) | v90(constB65, 2) | v122(constB65)),
% 54.00/34.18 inference(modus_ponens,[status(thm)],[13254, 13253])).
% 54.00/34.18 tff(13256,plain,
% 54.00/34.18 ((~v90(constB65, 0)) | (~v90(constB65, 1)) | v122(constB65)),
% 54.00/34.18 inference(unit_resolution,[status(thm)],[13255, 1956, 13210])).
% 54.00/34.18 tff(13257,plain,
% 54.00/34.18 (~v90(constB65, 0)),
% 54.00/34.18 inference(unit_resolution,[status(thm)],[13256, 13248, 13252])).
% 54.00/34.18 tff(13258,plain,
% 54.00/34.18 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB65, 0) | (~v90(constB65, 1)) | v90(constB65, 2) | v121(constB65))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB65, 0) | (~v90(constB65, 1)) | v90(constB65, 2) | v121(constB65))),
% 54.00/34.18 inference(rewrite,[status(thm)],[])).
% 54.00/34.18 tff(13259,plain,
% 54.00/34.18 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB65, 0) | (~v90(constB65, 1)) | v90(constB65, 2) | v121(constB65))),
% 54.00/34.18 inference(quant_inst,[status(thm)],[])).
% 54.00/34.18 tff(13260,plain,
% 54.00/34.18 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB65, 0) | (~v90(constB65, 1)) | v90(constB65, 2) | v121(constB65)),
% 54.00/34.18 inference(modus_ponens,[status(thm)],[13259, 13258])).
% 54.00/34.18 tff(13261,plain,
% 54.00/34.18 (v90(constB65, 0) | (~v90(constB65, 1)) | v121(constB65)),
% 54.00/34.18 inference(unit_resolution,[status(thm)],[13260, 1731, 13210])).
% 54.00/34.18 tff(13262,plain,
% 54.00/34.18 ($false),
% 54.00/34.18 inference(unit_resolution,[status(thm)],[13261, 13257, 13248, 13209])).
% 54.00/34.18 tff(13263,plain,(v116(constB65) | v90(constB65, 2)), inference(lemma,lemma(discharge,[]))).
% 54.00/34.18 tff(13264,plain,
% 54.00/34.18 (v116(constB65)),
% 54.00/34.18 inference(unit_resolution,[status(thm)],[13263, 13197])).
% 54.00/34.19 tff(13265,plain,
% 54.00/34.19 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB65)) | v115(constB65))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB65)) | v115(constB65))),
% 54.00/34.19 inference(rewrite,[status(thm)],[])).
% 54.00/34.19 tff(13266,plain,
% 54.00/34.19 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB65)) | v115(constB65))),
% 54.00/34.19 inference(quant_inst,[status(thm)],[])).
% 54.00/34.19 tff(13267,plain,
% 54.00/34.19 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB65)) | v115(constB65)),
% 54.00/34.19 inference(modus_ponens,[status(thm)],[13266, 13265])).
% 54.00/34.19 tff(13268,plain,
% 54.00/34.19 (v115(constB65)),
% 54.00/34.19 inference(unit_resolution,[status(thm)],[13267, 1021, 13264])).
% 54.00/34.19 tff(13269,plain,
% 54.00/34.19 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB65) | (~v115(constB65)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB65) | (~v115(constB65)))),
% 54.00/34.19 inference(rewrite,[status(thm)],[])).
% 54.00/34.19 tff(13270,plain,
% 54.00/34.19 (((~v115(constB65)) | v114(constB65)) <=> (v114(constB65) | (~v115(constB65)))),
% 54.00/34.19 inference(rewrite,[status(thm)],[])).
% 54.00/34.19 tff(13271,plain,
% 54.00/34.19 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB65)) | v114(constB65))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB65) | (~v115(constB65))))),
% 54.00/34.19 inference(monotonicity,[status(thm)],[13270])).
% 54.00/34.19 tff(13272,plain,
% 54.00/34.19 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB65)) | v114(constB65))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB65) | (~v115(constB65)))),
% 54.00/34.19 inference(transitivity,[status(thm)],[13271, 13269])).
% 54.00/34.19 tff(13273,plain,
% 54.00/34.19 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB65)) | v114(constB65))),
% 54.00/34.19 inference(quant_inst,[status(thm)],[])).
% 54.00/34.19 tff(13274,plain,
% 54.00/34.19 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB65) | (~v115(constB65))),
% 54.00/34.19 inference(modus_ponens,[status(thm)],[13273, 13272])).
% 54.00/34.19 tff(13275,plain,
% 54.00/34.19 (v114(constB65)),
% 54.00/34.19 inference(unit_resolution,[status(thm)],[13274, 1035, 13268])).
% 54.00/34.19 tff(13276,plain,
% 54.00/34.19 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB65) | (~v114(constB65)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB65) | (~v114(constB65)))),
% 54.00/34.19 inference(rewrite,[status(thm)],[])).
% 54.00/34.19 tff(13277,plain,
% 54.00/34.19 (((~v114(constB65)) | v113(constB65)) <=> (v113(constB65) | (~v114(constB65)))),
% 54.00/34.19 inference(rewrite,[status(thm)],[])).
% 54.00/34.19 tff(13278,plain,
% 54.00/34.19 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB65)) | v113(constB65))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB65) | (~v114(constB65))))),
% 54.00/34.19 inference(monotonicity,[status(thm)],[13277])).
% 54.00/34.19 tff(13279,plain,
% 54.00/34.19 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB65)) | v113(constB65))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB65) | (~v114(constB65)))),
% 54.00/34.19 inference(transitivity,[status(thm)],[13278, 13276])).
% 54.00/34.19 tff(13280,plain,
% 54.00/34.19 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB65)) | v113(constB65))),
% 54.00/34.19 inference(quant_inst,[status(thm)],[])).
% 54.00/34.19 tff(13281,plain,
% 54.00/34.19 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB65) | (~v114(constB65))),
% 54.00/34.19 inference(modus_ponens,[status(thm)],[13280, 13279])).
% 54.00/34.19 tff(13282,plain,
% 54.00/34.19 (v113(constB65)),
% 54.00/34.19 inference(unit_resolution,[status(thm)],[13281, 1049, 13275])).
% 54.00/34.19 tff(13283,assumption,(~v108(constB65)), introduced(assumption)).
% 54.00/34.19 tff(13284,plain,
% 54.00/34.19 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB65) | (~v112(constB65)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB65) | (~v112(constB65)))),
% 54.00/34.19 inference(rewrite,[status(thm)],[])).
% 54.00/34.19 tff(13285,plain,
% 54.00/34.19 (((~v112(constB65)) | v108(constB65)) <=> (v108(constB65) | (~v112(constB65)))),
% 54.00/34.19 inference(rewrite,[status(thm)],[])).
% 54.00/34.19 tff(13286,plain,
% 54.00/34.19 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB65)) | v108(constB65))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB65) | (~v112(constB65))))),
% 54.00/34.19 inference(monotonicity,[status(thm)],[13285])).
% 54.00/34.19 tff(13287,plain,
% 54.00/34.19 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB65)) | v108(constB65))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB65) | (~v112(constB65)))),
% 54.00/34.19 inference(transitivity,[status(thm)],[13286, 13284])).
% 54.00/34.19 tff(13288,plain,
% 54.00/34.19 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB65)) | v108(constB65))),
% 54.00/34.19 inference(quant_inst,[status(thm)],[])).
% 54.00/34.19 tff(13289,plain,
% 54.00/34.19 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB65) | (~v112(constB65))),
% 54.00/34.19 inference(modus_ponens,[status(thm)],[13288, 13287])).
% 54.00/34.19 tff(13290,plain,
% 54.00/34.19 (~v112(constB65)),
% 54.00/34.19 inference(unit_resolution,[status(thm)],[13289, 1075, 13283])).
% 54.00/34.19 tff(13291,plain,
% 54.00/34.19 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB65) | (~v26(constB65)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB65) | (~v26(constB65)))),
% 54.00/34.19 inference(rewrite,[status(thm)],[])).
% 54.00/34.19 tff(13292,plain,
% 54.00/34.19 (((~v26(constB65)) | v108(constB65)) <=> (v108(constB65) | (~v26(constB65)))),
% 54.00/34.19 inference(rewrite,[status(thm)],[])).
% 54.00/34.19 tff(13293,plain,
% 54.00/34.19 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB65)) | v108(constB65))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB65) | (~v26(constB65))))),
% 54.00/34.19 inference(monotonicity,[status(thm)],[13292])).
% 54.00/34.19 tff(13294,plain,
% 54.00/34.19 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB65)) | v108(constB65))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB65) | (~v26(constB65)))),
% 54.00/34.19 inference(transitivity,[status(thm)],[13293, 13291])).
% 54.00/34.19 tff(13295,plain,
% 54.00/34.19 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB65)) | v108(constB65))),
% 54.00/34.19 inference(quant_inst,[status(thm)],[])).
% 54.00/34.19 tff(13296,plain,
% 54.00/34.19 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB65) | (~v26(constB65))),
% 54.00/34.19 inference(modus_ponens,[status(thm)],[13295, 13294])).
% 54.00/34.19 tff(13297,plain,
% 54.00/34.19 (~v26(constB65)),
% 54.00/34.19 inference(unit_resolution,[status(thm)],[13296, 2050, 13283])).
% 54.00/34.19 tff(13298,assumption,(v113(constB65)), introduced(assumption)).
% 54.00/34.19 tff(13299,plain,
% 54.00/34.19 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB65) | (~v113(constB65)) | v112(constB65))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB65) | (~v113(constB65)) | v112(constB65))),
% 54.00/34.19 inference(rewrite,[status(thm)],[])).
% 54.00/34.19 tff(13300,plain,
% 54.00/34.19 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB65) | (~v113(constB65)) | v112(constB65))),
% 54.00/34.19 inference(quant_inst,[status(thm)],[])).
% 54.00/34.19 tff(13301,plain,
% 54.00/34.19 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB65) | (~v113(constB65)) | v112(constB65)),
% 54.00/34.19 inference(modus_ponens,[status(thm)],[13300, 13299])).
% 54.00/34.19 tff(13302,plain,
% 54.00/34.19 (v26(constB65) | v112(constB65)),
% 54.00/34.19 inference(unit_resolution,[status(thm)],[13301, 1063, 13298])).
% 54.00/34.19 tff(13303,plain,
% 54.00/34.19 ($false),
% 54.00/34.19 inference(unit_resolution,[status(thm)],[13302, 13297, 13290])).
% 54.00/34.19 tff(13304,plain,(v108(constB65) | (~v113(constB65))), inference(lemma,lemma(discharge,[]))).
% 54.00/34.19 tff(13305,plain,
% 54.00/34.19 (v108(constB65)),
% 54.00/34.19 inference(unit_resolution,[status(thm)],[13304, 13282])).
% 54.00/34.19 tff(13306,plain,
% 54.00/34.19 (nextState(constB65, constB66) <=> nextState(constB65, constB66)),
% 54.00/34.19 inference(rewrite,[status(thm)],[])).
% 54.00/34.19 tff(13307,axiom,(nextState(constB65, constB66)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_65_1')).
% 54.00/34.19 tff(13308,plain,
% 54.00/34.19 (nextState(constB65, constB66)),
% 54.00/34.19 inference(modus_ponens,[status(thm)],[13307, 13306])).
% 54.00/34.19 tff(13309,plain,
% 54.00/34.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65)))),
% 54.00/34.19 inference(rewrite,[status(thm)],[])).
% 54.00/34.19 tff(13310,plain,
% 54.00/34.19 (((~nextState(constB65, constB66)) | (~v108(constB65)) | v110(constB66)) <=> ((~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65)))),
% 54.00/34.19 inference(rewrite,[status(thm)],[])).
% 54.00/34.19 tff(13311,plain,
% 54.00/34.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB65, constB66)) | (~v108(constB65)) | v110(constB66))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65))))),
% 54.00/34.19 inference(monotonicity,[status(thm)],[13310])).
% 54.00/34.19 tff(13312,plain,
% 54.00/34.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB65, constB66)) | (~v108(constB65)) | v110(constB66))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65)))),
% 54.00/34.19 inference(transitivity,[status(thm)],[13311, 13309])).
% 54.00/34.19 tff(13313,plain,
% 54.00/34.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB65, constB66)) | (~v108(constB65)) | v110(constB66))),
% 54.00/34.19 inference(quant_inst,[status(thm)],[])).
% 54.00/34.19 tff(13314,plain,
% 54.00/34.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB65, constB66)) | v110(constB66) | (~v108(constB65))),
% 54.00/34.19 inference(modus_ponens,[status(thm)],[13313, 13312])).
% 54.00/34.19 tff(13315,plain,
% 54.00/34.19 (v110(constB66) | (~v108(constB65))),
% 54.00/34.19 inference(unit_resolution,[status(thm)],[13314, 1095, 13308])).
% 54.00/34.19 tff(13316,plain,
% 54.00/34.19 (v110(constB66)),
% 54.00/34.19 inference(unit_resolution,[status(thm)],[13315, 13305])).
% 54.00/34.19 tff(13317,plain,
% 54.00/34.19 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB65) | (~nextState(constB65, constB66)) | (~v104(constB66)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB65) | (~nextState(constB65, constB66)) | (~v104(constB66)))),
% 54.00/34.19 inference(rewrite,[status(thm)],[])).
% 54.00/34.19 tff(13318,plain,
% 54.00/34.19 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB65) | (~nextState(constB65, constB66)) | (~v104(constB66)))),
% 54.00/34.19 inference(quant_inst,[status(thm)],[])).
% 54.00/34.19 tff(13319,plain,
% 54.00/34.19 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB65) | (~nextState(constB65, constB66)) | (~v104(constB66))),
% 54.00/34.19 inference(modus_ponens,[status(thm)],[13318, 13317])).
% 54.00/34.19 tff(13320,plain,
% 54.00/34.19 (~v104(constB66)),
% 54.00/34.19 inference(unit_resolution,[status(thm)],[13319, 1113, 13308, 13173])).
% 54.00/34.19 tff(13321,plain,
% 54.00/34.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB65, constB66)) | v102(constB66) | v104(constB66))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB65, constB66)) | v102(constB66) | v104(constB66))),
% 54.00/34.19 inference(rewrite,[status(thm)],[])).
% 54.00/34.19 tff(13322,plain,
% 54.00/34.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB65, constB66)) | v102(constB66) | v104(constB66))),
% 54.00/34.19 inference(quant_inst,[status(thm)],[])).
% 54.00/34.19 tff(13323,plain,
% 54.00/34.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB65, constB66)) | v102(constB66) | v104(constB66)),
% 54.00/34.19 inference(modus_ponens,[status(thm)],[13322, 13321])).
% 54.00/34.19 tff(13324,plain,
% 54.00/34.19 (v102(constB66) | v104(constB66)),
% 54.00/34.19 inference(unit_resolution,[status(thm)],[13323, 1127, 13308])).
% 54.00/34.19 tff(13325,plain,
% 54.00/34.19 (v102(constB66)),
% 54.00/34.19 inference(unit_resolution,[status(thm)],[13324, 13320])).
% 54.00/34.19 tff(13326,plain,
% 54.00/34.19 (v1(constB66) <=> v1(constB66)),
% 54.00/34.19 inference(rewrite,[status(thm)],[])).
% 54.00/34.19 tff(13327,axiom,(v1(constB66)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_66_1')).
% 54.00/34.19 tff(13328,plain,
% 54.00/34.19 (v1(constB66)),
% 54.00/34.19 inference(modus_ponens,[status(thm)],[13327, 13326])).
% 54.00/34.19 tff(13329,plain,
% 54.00/34.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB65, constB66)) | v101(constB66) | (~v102(constB66)) | (~v1(constB66)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB65, constB66)) | v101(constB66) | (~v102(constB66)) | (~v1(constB66)))),
% 54.00/34.19 inference(rewrite,[status(thm)],[])).
% 54.00/34.19 tff(13330,plain,
% 54.00/34.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB65, constB66)) | v101(constB66) | (~v102(constB66)) | (~v1(constB66)))),
% 54.00/34.19 inference(quant_inst,[status(thm)],[])).
% 54.00/34.19 tff(13331,plain,
% 54.00/34.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB65, constB66)) | v101(constB66) | (~v102(constB66)) | (~v1(constB66))),
% 54.00/34.19 inference(modus_ponens,[status(thm)],[13330, 13329])).
% 54.00/34.19 tff(13332,plain,
% 54.00/34.19 (v101(constB66) | (~v102(constB66))),
% 54.00/34.19 inference(unit_resolution,[status(thm)],[13331, 1145, 13308, 13328])).
% 54.00/34.19 tff(13333,plain,
% 54.00/34.19 (v101(constB66)),
% 54.00/34.19 inference(unit_resolution,[status(thm)],[13332, 13325])).
% 54.00/34.19 tff(13334,plain,
% 54.00/34.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66)))),
% 54.00/34.19 inference(rewrite,[status(thm)],[])).
% 54.00/34.19 tff(13335,plain,
% 54.00/34.19 (((~nextState(constB65, constB66)) | (~v101(constB66)) | (~v110(constB66)) | v100(constB66)) <=> ((~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66)))),
% 54.00/34.19 inference(rewrite,[status(thm)],[])).
% 54.00/34.19 tff(13336,plain,
% 54.00/34.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB65, constB66)) | (~v101(constB66)) | (~v110(constB66)) | v100(constB66))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66))))),
% 54.00/34.19 inference(monotonicity,[status(thm)],[13335])).
% 54.00/34.19 tff(13337,plain,
% 54.00/34.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB65, constB66)) | (~v101(constB66)) | (~v110(constB66)) | v100(constB66))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66)))),
% 54.00/34.19 inference(transitivity,[status(thm)],[13336, 13334])).
% 54.00/34.19 tff(13338,plain,
% 54.00/34.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB65, constB66)) | (~v101(constB66)) | (~v110(constB66)) | v100(constB66))),
% 54.00/34.19 inference(quant_inst,[status(thm)],[])).
% 54.00/34.19 tff(13339,plain,
% 54.00/34.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB65, constB66)) | v100(constB66) | (~v101(constB66)) | (~v110(constB66))),
% 54.00/34.19 inference(modus_ponens,[status(thm)],[13338, 13337])).
% 54.00/34.19 tff(13340,plain,
% 54.00/34.19 (v100(constB66) | (~v101(constB66)) | (~v110(constB66))),
% 54.00/34.19 inference(unit_resolution,[status(thm)],[13339, 1160, 13308])).
% 54.00/34.19 tff(13341,plain,
% 54.00/34.19 (v100(constB66) | (~v110(constB66))),
% 54.00/34.19 inference(unit_resolution,[status(thm)],[13340, 13333])).
% 54.00/34.19 tff(13342,plain,
% 54.00/34.19 (v100(constB66)),
% 54.00/34.19 inference(unit_resolution,[status(thm)],[13341, 13316])).
% 54.00/34.19 tff(13343,plain,
% 54.00/34.19 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB63)) | v130(constB63, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB63)) | v130(constB63, 1))),
% 54.00/34.19 inference(rewrite,[status(thm)],[])).
% 54.00/34.19 tff(13344,plain,
% 54.00/34.19 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB63)) | v130(constB63, 1))),
% 54.00/34.19 inference(quant_inst,[status(thm)],[])).
% 54.00/34.19 tff(13345,plain,
% 54.00/34.19 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB63)) | v130(constB63, 1)),
% 54.00/34.19 inference(modus_ponens,[status(thm)],[13344, 13343])).
% 54.00/34.19 tff(13346,plain,
% 54.00/34.19 (v130(constB63, 1)),
% 54.00/34.19 inference(unit_resolution,[status(thm)],[13345, 1579, 13062])).
% 54.00/34.19 tff(13347,plain,
% 54.00/34.19 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB63) | (~v130(constB63, 1)) | v127(constB63, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB63) | (~v130(constB63, 1)) | v127(constB63, 1))),
% 54.00/34.19 inference(rewrite,[status(thm)],[])).
% 54.00/34.19 tff(13348,plain,
% 54.00/34.19 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB63) | (~v130(constB63, 1)) | v127(constB63, 1))),
% 54.00/34.19 inference(quant_inst,[status(thm)],[])).
% 54.00/34.19 tff(13349,plain,
% 54.00/34.19 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB63) | (~v130(constB63, 1)) | v127(constB63, 1)),
% 54.00/34.19 inference(modus_ponens,[status(thm)],[13348, 13347])).
% 54.00/34.19 tff(13350,plain,
% 54.00/34.19 ((~v130(constB63, 1)) | v127(constB63, 1)),
% 54.00/34.19 inference(unit_resolution,[status(thm)],[13349, 1593, 13102])).
% 54.00/34.19 tff(13351,plain,
% 54.00/34.19 (v127(constB63, 1)),
% 54.00/34.19 inference(unit_resolution,[status(thm)],[13350, 13346])).
% 54.00/34.19 tff(13352,plain,
% 54.00/34.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB63, constB64)) | (~v127(constB63, 1)) | v129(constB64, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB63, constB64)) | (~v127(constB63, 1)) | v129(constB64, 1))),
% 54.00/34.19 inference(rewrite,[status(thm)],[])).
% 54.00/34.19 tff(13353,plain,
% 54.00/34.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB63, constB64)) | (~v127(constB63, 1)) | v129(constB64, 1))),
% 54.00/34.19 inference(quant_inst,[status(thm)],[])).
% 54.00/34.19 tff(13354,plain,
% 54.00/34.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB63, constB64)) | (~v127(constB63, 1)) | v129(constB64, 1)),
% 54.00/34.19 inference(modus_ponens,[status(thm)],[13353, 13352])).
% 54.00/34.19 tff(13355,plain,
% 54.00/34.19 ((~v127(constB63, 1)) | v129(constB64, 1)),
% 54.00/34.19 inference(unit_resolution,[status(thm)],[13354, 1608, 13117])).
% 54.00/34.19 tff(13356,plain,
% 54.00/34.19 (v129(constB64, 1)),
% 54.00/34.19 inference(unit_resolution,[status(thm)],[13355, 13351])).
% 54.00/34.19 tff(13357,plain,
% 54.00/34.19 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB64, 1) | (~v129(constB64, 1)) | (~v100(constB64)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB64, 1) | (~v129(constB64, 1)) | (~v100(constB64)))),
% 54.00/34.19 inference(rewrite,[status(thm)],[])).
% 54.00/34.19 tff(13358,plain,
% 54.00/34.19 ((v90(constB64, 1) | (~v100(constB64)) | (~v129(constB64, 1))) <=> (v90(constB64, 1) | (~v129(constB64, 1)) | (~v100(constB64)))),
% 54.00/34.19 inference(rewrite,[status(thm)],[])).
% 54.00/34.19 tff(13359,plain,
% 54.00/34.19 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB64, 1) | (~v100(constB64)) | (~v129(constB64, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB64, 1) | (~v129(constB64, 1)) | (~v100(constB64))))),
% 54.00/34.19 inference(monotonicity,[status(thm)],[13358])).
% 54.00/34.19 tff(13360,plain,
% 54.00/34.19 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB64, 1) | (~v100(constB64)) | (~v129(constB64, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB64, 1) | (~v129(constB64, 1)) | (~v100(constB64)))),
% 54.00/34.19 inference(transitivity,[status(thm)],[13359, 13357])).
% 54.00/34.19 tff(13361,plain,
% 54.00/34.19 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB64, 1) | (~v100(constB64)) | (~v129(constB64, 1)))),
% 54.00/34.19 inference(quant_inst,[status(thm)],[])).
% 54.00/34.19 tff(13362,plain,
% 54.00/34.19 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB64, 1) | (~v129(constB64, 1)) | (~v100(constB64))),
% 54.00/34.19 inference(modus_ponens,[status(thm)],[13361, 13360])).
% 54.00/34.19 tff(13363,plain,
% 54.00/34.19 (v90(constB64, 1) | (~v100(constB64))),
% 54.00/34.19 inference(unit_resolution,[status(thm)],[13362, 1623, 13356])).
% 54.00/34.19 tff(13364,plain,
% 54.00/34.19 (v90(constB64, 1)),
% 54.00/34.19 inference(unit_resolution,[status(thm)],[13363, 13148])).
% 54.00/34.19 tff(13365,plain,
% 54.00/34.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB64, 1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB64, 1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, 1))),
% 54.00/34.19 inference(rewrite,[status(thm)],[])).
% 54.00/34.19 tff(13366,plain,
% 54.00/34.19 (((~nextState(constB64, constB65)) | (~v90(constB64, 1)) | v100(constB65) | v90(constB65, 1)) <=> ((~v90(constB64, 1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, 1))),
% 54.00/34.19 inference(rewrite,[status(thm)],[])).
% 54.00/34.19 tff(13367,plain,
% 54.00/34.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB64, constB65)) | (~v90(constB64, 1)) | v100(constB65) | v90(constB65, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB64, 1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, 1)))),
% 54.00/34.19 inference(monotonicity,[status(thm)],[13366])).
% 54.00/34.19 tff(13368,plain,
% 54.00/34.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB64, constB65)) | (~v90(constB64, 1)) | v100(constB65) | v90(constB65, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB64, 1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, 1))),
% 54.00/34.19 inference(transitivity,[status(thm)],[13367, 13365])).
% 54.00/34.19 tff(13369,plain,
% 54.00/34.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB64, constB65)) | (~v90(constB64, 1)) | v100(constB65) | v90(constB65, 1))),
% 54.00/34.19 inference(quant_inst,[status(thm)],[])).
% 54.00/34.19 tff(13370,plain,
% 54.00/34.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB64, 1)) | (~nextState(constB64, constB65)) | v100(constB65) | v90(constB65, 1)),
% 54.00/34.19 inference(modus_ponens,[status(thm)],[13369, 13368])).
% 54.00/34.19 tff(13371,plain,
% 54.00/34.19 ((~v90(constB64, 1)) | v100(constB65) | v90(constB65, 1)),
% 54.00/34.19 inference(unit_resolution,[status(thm)],[13370, 1641, 13176])).
% 54.00/34.19 tff(13372,plain,
% 54.00/34.19 ((~v90(constB64, 1)) | v90(constB65, 1)),
% 54.00/34.19 inference(unit_resolution,[status(thm)],[13371, 13188])).
% 54.00/34.19 tff(13373,plain,
% 54.00/34.19 (v90(constB65, 1)),
% 54.00/34.19 inference(unit_resolution,[status(thm)],[13372, 13364])).
% 54.00/34.19 tff(13374,plain,
% 54.00/34.19 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB63)) | (~v130(constB63, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB63)) | (~v130(constB63, 0)))),
% 54.00/34.19 inference(rewrite,[status(thm)],[])).
% 54.00/34.19 tff(13375,plain,
% 54.00/34.19 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB63)) | (~v130(constB63, 0)))),
% 54.00/34.19 inference(quant_inst,[status(thm)],[])).
% 54.00/34.19 tff(13376,plain,
% 54.00/34.19 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB63)) | (~v130(constB63, 0))),
% 54.00/34.19 inference(modus_ponens,[status(thm)],[13375, 13374])).
% 54.00/34.19 tff(13377,plain,
% 54.00/34.19 (~v130(constB63, 0)),
% 54.00/34.19 inference(unit_resolution,[status(thm)],[13376, 1657, 13062])).
% 54.00/34.19 tff(13378,plain,
% 54.00/34.19 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB63, 0)) | v26(constB63) | v130(constB63, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB63, 0)) | v26(constB63) | v130(constB63, 0))),
% 54.00/34.19 inference(rewrite,[status(thm)],[])).
% 54.00/34.19 tff(13379,plain,
% 54.00/34.19 ((v26(constB63) | v130(constB63, 0) | (~v127(constB63, 0))) <=> ((~v127(constB63, 0)) | v26(constB63) | v130(constB63, 0))),
% 54.00/34.19 inference(rewrite,[status(thm)],[])).
% 54.00/34.19 tff(13380,plain,
% 54.00/34.19 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB63) | v130(constB63, 0) | (~v127(constB63, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB63, 0)) | v26(constB63) | v130(constB63, 0)))),
% 54.00/34.19 inference(monotonicity,[status(thm)],[13379])).
% 54.00/34.19 tff(13381,plain,
% 54.00/34.19 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB63) | v130(constB63, 0) | (~v127(constB63, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB63, 0)) | v26(constB63) | v130(constB63, 0))),
% 54.00/34.19 inference(transitivity,[status(thm)],[13380, 13378])).
% 54.00/34.19 tff(13382,plain,
% 54.00/34.19 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB63) | v130(constB63, 0) | (~v127(constB63, 0)))),
% 54.00/34.19 inference(quant_inst,[status(thm)],[])).
% 54.00/34.19 tff(13383,plain,
% 54.00/34.19 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB63, 0)) | v26(constB63) | v130(constB63, 0)),
% 54.00/34.19 inference(modus_ponens,[status(thm)],[13382, 13381])).
% 54.00/34.19 tff(13384,plain,
% 54.00/34.19 ((~v127(constB63, 0)) | v130(constB63, 0)),
% 54.00/34.19 inference(unit_resolution,[status(thm)],[13383, 1671, 13102])).
% 54.00/34.19 tff(13385,plain,
% 54.00/34.19 (~v127(constB63, 0)),
% 54.00/34.19 inference(unit_resolution,[status(thm)],[13384, 13377])).
% 54.00/34.19 tff(13386,plain,
% 54.00/34.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB63, constB64)) | v127(constB63, 0) | (~v129(constB64, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB63, constB64)) | v127(constB63, 0) | (~v129(constB64, 0)))),
% 54.00/34.19 inference(rewrite,[status(thm)],[])).
% 54.00/34.19 tff(13387,plain,
% 54.00/34.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB63, constB64)) | v127(constB63, 0) | (~v129(constB64, 0)))),
% 54.00/34.19 inference(quant_inst,[status(thm)],[])).
% 54.00/34.19 tff(13388,plain,
% 54.00/34.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB63, constB64)) | v127(constB63, 0) | (~v129(constB64, 0))),
% 54.00/34.19 inference(modus_ponens,[status(thm)],[13387, 13386])).
% 54.00/34.19 tff(13389,plain,
% 54.00/34.19 (v127(constB63, 0) | (~v129(constB64, 0))),
% 54.00/34.19 inference(unit_resolution,[status(thm)],[13388, 1689, 13117])).
% 54.00/34.19 tff(13390,plain,
% 54.00/34.19 (~v129(constB64, 0)),
% 54.00/34.19 inference(unit_resolution,[status(thm)],[13389, 13385])).
% 54.00/34.19 tff(13391,plain,
% 54.00/34.19 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB64, 0)) | v129(constB64, 0) | (~v100(constB64)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB64, 0)) | v129(constB64, 0) | (~v100(constB64)))),
% 54.00/34.19 inference(rewrite,[status(thm)],[])).
% 54.00/34.19 tff(13392,plain,
% 54.00/34.19 (((~v90(constB64, 0)) | (~v100(constB64)) | v129(constB64, 0)) <=> ((~v90(constB64, 0)) | v129(constB64, 0) | (~v100(constB64)))),
% 54.00/34.19 inference(rewrite,[status(thm)],[])).
% 54.00/34.19 tff(13393,plain,
% 54.00/34.19 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB64, 0)) | (~v100(constB64)) | v129(constB64, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB64, 0)) | v129(constB64, 0) | (~v100(constB64))))),
% 54.00/34.19 inference(monotonicity,[status(thm)],[13392])).
% 54.00/34.19 tff(13394,plain,
% 54.00/34.19 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB64, 0)) | (~v100(constB64)) | v129(constB64, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB64, 0)) | v129(constB64, 0) | (~v100(constB64)))),
% 54.00/34.19 inference(transitivity,[status(thm)],[13393, 13391])).
% 54.00/34.19 tff(13395,plain,
% 54.00/34.19 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB64, 0)) | (~v100(constB64)) | v129(constB64, 0))),
% 54.00/34.19 inference(quant_inst,[status(thm)],[])).
% 54.00/34.19 tff(13396,plain,
% 54.00/34.19 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB64, 0)) | v129(constB64, 0) | (~v100(constB64))),
% 54.00/34.19 inference(modus_ponens,[status(thm)],[13395, 13394])).
% 54.00/34.19 tff(13397,plain,
% 54.00/34.19 ((~v90(constB64, 0)) | (~v100(constB64))),
% 54.00/34.19 inference(unit_resolution,[status(thm)],[13396, 1704, 13390])).
% 54.00/34.19 tff(13398,plain,
% 54.00/34.19 (~v90(constB64, 0)),
% 54.00/34.19 inference(unit_resolution,[status(thm)],[13397, 13148])).
% 54.00/34.19 tff(13399,plain,
% 54.00/34.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB64, 0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB64, 0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, 0)))),
% 54.00/34.19 inference(rewrite,[status(thm)],[])).
% 54.00/34.19 tff(13400,plain,
% 54.00/34.19 (((~nextState(constB64, constB65)) | v90(constB64, 0) | v100(constB65) | (~v90(constB65, 0))) <=> (v90(constB64, 0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, 0)))),
% 54.00/34.19 inference(rewrite,[status(thm)],[])).
% 54.00/34.19 tff(13401,plain,
% 54.00/34.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB64, constB65)) | v90(constB64, 0) | v100(constB65) | (~v90(constB65, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB64, 0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, 0))))),
% 54.00/34.19 inference(monotonicity,[status(thm)],[13400])).
% 54.00/34.19 tff(13402,plain,
% 54.00/34.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB64, constB65)) | v90(constB64, 0) | v100(constB65) | (~v90(constB65, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB64, 0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, 0)))),
% 54.00/34.19 inference(transitivity,[status(thm)],[13401, 13399])).
% 54.00/34.19 tff(13403,plain,
% 54.00/34.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB64, constB65)) | v90(constB64, 0) | v100(constB65) | (~v90(constB65, 0)))),
% 54.00/34.19 inference(quant_inst,[status(thm)],[])).
% 54.00/34.19 tff(13404,plain,
% 54.00/34.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB64, 0) | (~nextState(constB64, constB65)) | v100(constB65) | (~v90(constB65, 0))),
% 54.00/34.19 inference(modus_ponens,[status(thm)],[13403, 13402])).
% 54.00/34.19 tff(13405,plain,
% 54.00/34.19 (v90(constB64, 0) | v100(constB65) | (~v90(constB65, 0))),
% 54.00/34.19 inference(unit_resolution,[status(thm)],[13404, 947, 13176])).
% 54.00/34.19 tff(13406,plain,
% 54.00/34.19 (v90(constB64, 0) | (~v90(constB65, 0))),
% 54.00/34.19 inference(unit_resolution,[status(thm)],[13405, 13188])).
% 54.00/34.19 tff(13407,plain,
% 54.00/34.19 (~v90(constB65, 0)),
% 54.00/34.19 inference(unit_resolution,[status(thm)],[13406, 13398])).
% 54.00/34.19 tff(13408,plain,
% 54.00/34.19 (v121(constB65)),
% 54.00/34.19 inference(unit_resolution,[status(thm)],[13260, 1731, 13407, 13373, 13197])).
% 54.00/34.19 tff(13409,plain,
% 54.00/34.19 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB65)) | (~v130(constB65, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB65)) | (~v130(constB65, 2)))),
% 54.00/34.19 inference(rewrite,[status(thm)],[])).
% 54.00/34.19 tff(13410,plain,
% 54.00/34.19 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB65)) | (~v130(constB65, 2)))),
% 54.00/34.19 inference(quant_inst,[status(thm)],[])).
% 54.00/34.19 tff(13411,plain,
% 54.00/34.19 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB65)) | (~v130(constB65, 2))),
% 54.00/34.19 inference(modus_ponens,[status(thm)],[13410, 13409])).
% 54.00/34.19 tff(13412,plain,
% 54.00/34.19 (~v130(constB65, 2)),
% 54.00/34.19 inference(unit_resolution,[status(thm)],[13411, 1821, 13408])).
% 54.00/34.19 tff(13413,assumption,(v26(constB65)), introduced(assumption)).
% 54.00/34.19 tff(13414,plain,
% 54.00/34.19 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB65))),
% 54.00/34.19 inference(quant_inst,[status(thm)],[])).
% 54.00/34.19 tff(13415,plain,
% 54.00/34.19 ($false),
% 54.00/34.19 inference(unit_resolution,[status(thm)],[13414, 828, 13413])).
% 54.00/34.19 tff(13416,plain,(~v26(constB65)), inference(lemma,lemma(discharge,[]))).
% 54.00/34.19 tff(13417,plain,
% 54.00/34.19 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB65, 2)) | v26(constB65) | v130(constB65, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB65, 2)) | v26(constB65) | v130(constB65, 2))),
% 54.00/34.19 inference(rewrite,[status(thm)],[])).
% 54.00/34.19 tff(13418,plain,
% 54.00/34.19 ((v26(constB65) | v130(constB65, 2) | (~v127(constB65, 2))) <=> ((~v127(constB65, 2)) | v26(constB65) | v130(constB65, 2))),
% 54.00/34.19 inference(rewrite,[status(thm)],[])).
% 54.00/34.19 tff(13419,plain,
% 54.00/34.19 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB65) | v130(constB65, 2) | (~v127(constB65, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB65, 2)) | v26(constB65) | v130(constB65, 2)))),
% 54.00/34.19 inference(monotonicity,[status(thm)],[13418])).
% 54.00/34.19 tff(13420,plain,
% 54.00/34.19 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB65) | v130(constB65, 2) | (~v127(constB65, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB65, 2)) | v26(constB65) | v130(constB65, 2))),
% 54.00/34.19 inference(transitivity,[status(thm)],[13419, 13417])).
% 54.00/34.19 tff(13421,plain,
% 54.00/34.19 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB65) | v130(constB65, 2) | (~v127(constB65, 2)))),
% 54.00/34.19 inference(quant_inst,[status(thm)],[])).
% 54.00/34.19 tff(13422,plain,
% 54.00/34.19 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB65, 2)) | v26(constB65) | v130(constB65, 2)),
% 54.00/34.19 inference(modus_ponens,[status(thm)],[13421, 13420])).
% 54.00/34.19 tff(13423,plain,
% 54.00/34.19 ((~v127(constB65, 2)) | v130(constB65, 2)),
% 54.00/34.19 inference(unit_resolution,[status(thm)],[13422, 1190, 13416])).
% 54.00/34.19 tff(13424,plain,
% 54.00/34.19 (~v127(constB65, 2)),
% 54.00/34.19 inference(unit_resolution,[status(thm)],[13423, 13412])).
% 54.00/34.19 tff(13425,plain,
% 54.00/34.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB65, constB66)) | v127(constB65, 2) | (~v129(constB66, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB65, constB66)) | v127(constB65, 2) | (~v129(constB66, 2)))),
% 54.00/34.19 inference(rewrite,[status(thm)],[])).
% 54.00/34.19 tff(13426,plain,
% 54.00/34.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB65, constB66)) | v127(constB65, 2) | (~v129(constB66, 2)))),
% 54.00/34.19 inference(quant_inst,[status(thm)],[])).
% 54.00/34.19 tff(13427,plain,
% 54.00/34.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB65, constB66)) | v127(constB65, 2) | (~v129(constB66, 2))),
% 54.00/34.19 inference(modus_ponens,[status(thm)],[13426, 13425])).
% 54.00/34.19 tff(13428,plain,
% 54.00/34.19 (v127(constB65, 2) | (~v129(constB66, 2))),
% 54.00/34.19 inference(unit_resolution,[status(thm)],[13427, 1208, 13308])).
% 54.00/34.19 tff(13429,plain,
% 54.00/34.19 (~v129(constB66, 2)),
% 54.00/34.19 inference(unit_resolution,[status(thm)],[13428, 13424])).
% 54.00/34.19 tff(13430,plain,
% 54.00/34.19 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB66, 2)) | v129(constB66, 2) | (~v100(constB66)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB66, 2)) | v129(constB66, 2) | (~v100(constB66)))),
% 54.00/34.19 inference(rewrite,[status(thm)],[])).
% 54.00/34.19 tff(13431,plain,
% 54.00/34.19 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB66, 2)) | v129(constB66, 2) | (~v100(constB66)))),
% 54.00/34.19 inference(quant_inst,[status(thm)],[])).
% 54.00/34.19 tff(13432,plain,
% 54.00/34.19 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB66, 2)) | v129(constB66, 2) | (~v100(constB66))),
% 54.00/34.19 inference(modus_ponens,[status(thm)],[13431, 13430])).
% 54.00/34.19 tff(13433,plain,
% 54.00/34.19 ((~v90(constB66, 2)) | (~v100(constB66))),
% 54.00/34.19 inference(unit_resolution,[status(thm)],[13432, 1223, 13429])).
% 54.00/34.19 tff(13434,plain,
% 54.00/34.19 (~v90(constB66, 2)),
% 54.00/34.19 inference(unit_resolution,[status(thm)],[13433, 13342])).
% 54.00/34.19 tff(13435,plain,
% 54.00/34.19 ((~v1(constB67)) <=> (~v1(constB67))),
% 54.00/34.19 inference(rewrite,[status(thm)],[])).
% 54.00/34.19 tff(13436,axiom,(~v1(constB67)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_67_1_1')).
% 54.00/34.19 tff(13437,plain,
% 54.00/34.19 (~v1(constB67)),
% 54.00/34.19 inference(modus_ponens,[status(thm)],[13436, 13435])).
% 54.00/34.19 tff(13438,plain,
% 54.00/34.19 (nextState(constB66, constB67) <=> nextState(constB66, constB67)),
% 54.00/34.19 inference(rewrite,[status(thm)],[])).
% 54.00/34.19 tff(13439,axiom,(nextState(constB66, constB67)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_66_1')).
% 54.00/34.19 tff(13440,plain,
% 54.00/34.19 (nextState(constB66, constB67)),
% 54.00/34.19 inference(modus_ponens,[status(thm)],[13439, 13438])).
% 54.00/34.19 tff(13441,plain,
% 54.00/34.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67)))),
% 54.00/34.19 inference(rewrite,[status(thm)],[])).
% 54.00/34.19 tff(13442,plain,
% 54.00/34.19 (((~nextState(constB66, constB67)) | (~v101(constB67)) | v1(constB67)) <=> (v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67)))),
% 54.00/34.19 inference(rewrite,[status(thm)],[])).
% 54.00/34.19 tff(13443,plain,
% 54.00/34.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB66, constB67)) | (~v101(constB67)) | v1(constB67))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67))))),
% 54.00/34.19 inference(monotonicity,[status(thm)],[13442])).
% 54.00/34.19 tff(13444,plain,
% 54.00/34.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB66, constB67)) | (~v101(constB67)) | v1(constB67))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67)))),
% 54.00/34.19 inference(transitivity,[status(thm)],[13443, 13441])).
% 54.00/34.19 tff(13445,plain,
% 54.00/34.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB66, constB67)) | (~v101(constB67)) | v1(constB67))),
% 54.00/34.19 inference(quant_inst,[status(thm)],[])).
% 54.00/34.19 tff(13446,plain,
% 54.00/34.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v101(constB67))),
% 54.00/34.19 inference(modus_ponens,[status(thm)],[13445, 13444])).
% 54.00/34.19 tff(13447,plain,
% 54.00/34.19 (~v101(constB67)),
% 54.00/34.19 inference(unit_resolution,[status(thm)],[13446, 873, 13440, 13437])).
% 54.00/34.19 tff(13448,plain,
% 54.00/34.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB66, constB67)) | v101(constB67) | (~v100(constB67)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB66, constB67)) | v101(constB67) | (~v100(constB67)))),
% 54.00/34.19 inference(rewrite,[status(thm)],[])).
% 54.00/34.19 tff(13449,plain,
% 54.00/34.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB66, constB67)) | v101(constB67) | (~v100(constB67)))),
% 54.00/34.19 inference(quant_inst,[status(thm)],[])).
% 54.00/34.19 tff(13450,plain,
% 54.00/34.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB66, constB67)) | v101(constB67) | (~v100(constB67))),
% 54.00/34.19 inference(modus_ponens,[status(thm)],[13449, 13448])).
% 54.00/34.19 tff(13451,plain,
% 54.00/34.19 (v101(constB67) | (~v100(constB67))),
% 54.00/34.19 inference(unit_resolution,[status(thm)],[13450, 890, 13440])).
% 54.00/34.19 tff(13452,plain,
% 54.00/34.19 (~v100(constB67)),
% 54.00/34.19 inference(unit_resolution,[status(thm)],[13451, 13447])).
% 54.00/34.19 tff(13453,plain,
% 54.00/34.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB66, 2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB66, 2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, 2)))),
% 54.00/34.19 inference(rewrite,[status(thm)],[])).
% 54.00/34.19 tff(13454,plain,
% 54.00/34.19 (((~nextState(constB66, constB67)) | v90(constB66, 2) | v100(constB67) | (~v90(constB67, 2))) <=> (v90(constB66, 2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, 2)))),
% 54.00/34.19 inference(rewrite,[status(thm)],[])).
% 54.00/34.19 tff(13455,plain,
% 54.00/34.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB66, constB67)) | v90(constB66, 2) | v100(constB67) | (~v90(constB67, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB66, 2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, 2))))),
% 54.00/34.20 inference(monotonicity,[status(thm)],[13454])).
% 54.00/34.20 tff(13456,plain,
% 54.00/34.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB66, constB67)) | v90(constB66, 2) | v100(constB67) | (~v90(constB67, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB66, 2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, 2)))),
% 54.00/34.20 inference(transitivity,[status(thm)],[13455, 13453])).
% 54.00/34.20 tff(13457,plain,
% 54.00/34.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB66, constB67)) | v90(constB66, 2) | v100(constB67) | (~v90(constB67, 2)))),
% 54.00/34.20 inference(quant_inst,[status(thm)],[])).
% 54.00/34.20 tff(13458,plain,
% 54.00/34.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB66, 2) | (~nextState(constB66, constB67)) | v100(constB67) | (~v90(constB67, 2))),
% 54.00/34.20 inference(modus_ponens,[status(thm)],[13457, 13456])).
% 54.00/34.20 tff(13459,plain,
% 54.00/34.20 (v90(constB66, 2) | v100(constB67) | (~v90(constB67, 2))),
% 54.00/34.20 inference(unit_resolution,[status(thm)],[13458, 905, 13440])).
% 54.00/34.20 tff(13460,plain,
% 54.00/34.20 (v90(constB66, 2) | (~v90(constB67, 2))),
% 54.00/34.20 inference(unit_resolution,[status(thm)],[13459, 13452])).
% 54.00/34.20 tff(13461,plain,
% 54.00/34.20 (~v90(constB67, 2)),
% 54.00/34.20 inference(unit_resolution,[status(thm)],[13460, 13434])).
% 54.00/34.20 tff(13462,plain,
% 54.00/34.20 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB65)) | v130(constB65, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB65)) | v130(constB65, 1))),
% 54.00/34.20 inference(rewrite,[status(thm)],[])).
% 54.00/34.20 tff(13463,plain,
% 54.00/34.20 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB65)) | v130(constB65, 1))),
% 54.00/34.20 inference(quant_inst,[status(thm)],[])).
% 54.00/34.20 tff(13464,plain,
% 54.00/34.20 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB65)) | v130(constB65, 1)),
% 54.00/34.20 inference(modus_ponens,[status(thm)],[13463, 13462])).
% 54.00/34.20 tff(13465,plain,
% 54.00/34.20 (v130(constB65, 1)),
% 54.00/34.20 inference(unit_resolution,[status(thm)],[13464, 1877, 13408])).
% 54.00/34.20 tff(13466,plain,
% 54.00/34.20 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB65) | (~v130(constB65, 1)) | v127(constB65, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB65) | (~v130(constB65, 1)) | v127(constB65, 1))),
% 54.00/34.20 inference(rewrite,[status(thm)],[])).
% 54.00/34.20 tff(13467,plain,
% 54.00/34.20 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB65) | (~v130(constB65, 1)) | v127(constB65, 1))),
% 54.00/34.20 inference(quant_inst,[status(thm)],[])).
% 54.00/34.20 tff(13468,plain,
% 54.00/34.20 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB65) | (~v130(constB65, 1)) | v127(constB65, 1)),
% 54.00/34.20 inference(modus_ponens,[status(thm)],[13467, 13466])).
% 54.00/34.20 tff(13469,plain,
% 54.00/34.20 ((~v130(constB65, 1)) | v127(constB65, 1)),
% 54.00/34.20 inference(unit_resolution,[status(thm)],[13468, 1593, 13416])).
% 54.00/34.20 tff(13470,plain,
% 54.00/34.20 (v127(constB65, 1)),
% 54.00/34.20 inference(unit_resolution,[status(thm)],[13469, 13465])).
% 54.00/34.20 tff(13471,plain,
% 54.00/34.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB65, constB66)) | (~v127(constB65, 1)) | v129(constB66, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB65, constB66)) | (~v127(constB65, 1)) | v129(constB66, 1))),
% 54.00/34.20 inference(rewrite,[status(thm)],[])).
% 54.00/34.20 tff(13472,plain,
% 54.00/34.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB65, constB66)) | (~v127(constB65, 1)) | v129(constB66, 1))),
% 54.00/34.20 inference(quant_inst,[status(thm)],[])).
% 54.00/34.20 tff(13473,plain,
% 54.00/34.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB65, constB66)) | (~v127(constB65, 1)) | v129(constB66, 1)),
% 54.00/34.20 inference(modus_ponens,[status(thm)],[13472, 13471])).
% 54.00/34.20 tff(13474,plain,
% 54.00/34.20 ((~v127(constB65, 1)) | v129(constB66, 1)),
% 54.00/34.20 inference(unit_resolution,[status(thm)],[13473, 1608, 13308])).
% 54.00/34.20 tff(13475,plain,
% 54.00/34.20 (v129(constB66, 1)),
% 54.00/34.20 inference(unit_resolution,[status(thm)],[13474, 13470])).
% 54.00/34.20 tff(13476,plain,
% 54.00/34.20 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB66, 1) | (~v129(constB66, 1)) | (~v100(constB66)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB66, 1) | (~v129(constB66, 1)) | (~v100(constB66)))),
% 54.00/34.20 inference(rewrite,[status(thm)],[])).
% 54.00/34.20 tff(13477,plain,
% 54.00/34.20 ((v90(constB66, 1) | (~v100(constB66)) | (~v129(constB66, 1))) <=> (v90(constB66, 1) | (~v129(constB66, 1)) | (~v100(constB66)))),
% 54.00/34.20 inference(rewrite,[status(thm)],[])).
% 54.00/34.20 tff(13478,plain,
% 54.00/34.20 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB66, 1) | (~v100(constB66)) | (~v129(constB66, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB66, 1) | (~v129(constB66, 1)) | (~v100(constB66))))),
% 54.00/34.20 inference(monotonicity,[status(thm)],[13477])).
% 54.00/34.20 tff(13479,plain,
% 54.00/34.20 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB66, 1) | (~v100(constB66)) | (~v129(constB66, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB66, 1) | (~v129(constB66, 1)) | (~v100(constB66)))),
% 54.00/34.20 inference(transitivity,[status(thm)],[13478, 13476])).
% 54.00/34.20 tff(13480,plain,
% 54.00/34.20 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB66, 1) | (~v100(constB66)) | (~v129(constB66, 1)))),
% 54.00/34.20 inference(quant_inst,[status(thm)],[])).
% 54.00/34.20 tff(13481,plain,
% 54.00/34.20 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB66, 1) | (~v129(constB66, 1)) | (~v100(constB66))),
% 54.00/34.20 inference(modus_ponens,[status(thm)],[13480, 13479])).
% 54.00/34.20 tff(13482,plain,
% 54.00/34.20 (v90(constB66, 1) | (~v100(constB66))),
% 54.00/34.20 inference(unit_resolution,[status(thm)],[13481, 1623, 13475])).
% 54.00/34.20 tff(13483,plain,
% 54.00/34.20 (v90(constB66, 1)),
% 54.00/34.20 inference(unit_resolution,[status(thm)],[13482, 13342])).
% 54.00/34.20 tff(13484,plain,
% 54.00/34.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB66, 1)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB66, 1)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, 1))),
% 54.00/34.20 inference(rewrite,[status(thm)],[])).
% 54.00/34.20 tff(13485,plain,
% 54.00/34.20 (((~nextState(constB66, constB67)) | (~v90(constB66, 1)) | v100(constB67) | v90(constB67, 1)) <=> ((~v90(constB66, 1)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, 1))),
% 54.00/34.20 inference(rewrite,[status(thm)],[])).
% 54.00/34.20 tff(13486,plain,
% 54.00/34.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB66, constB67)) | (~v90(constB66, 1)) | v100(constB67) | v90(constB67, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB66, 1)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, 1)))),
% 54.00/34.20 inference(monotonicity,[status(thm)],[13485])).
% 54.00/34.20 tff(13487,plain,
% 54.00/34.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB66, constB67)) | (~v90(constB66, 1)) | v100(constB67) | v90(constB67, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB66, 1)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, 1))),
% 54.00/34.20 inference(transitivity,[status(thm)],[13486, 13484])).
% 54.00/34.20 tff(13488,plain,
% 54.00/34.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB66, constB67)) | (~v90(constB66, 1)) | v100(constB67) | v90(constB67, 1))),
% 54.00/34.20 inference(quant_inst,[status(thm)],[])).
% 54.00/34.20 tff(13489,plain,
% 54.00/34.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB66, 1)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, 1)),
% 54.00/34.20 inference(modus_ponens,[status(thm)],[13488, 13487])).
% 54.00/34.20 tff(13490,plain,
% 54.00/34.20 ((~v90(constB66, 1)) | v100(constB67) | v90(constB67, 1)),
% 54.00/34.20 inference(unit_resolution,[status(thm)],[13489, 1641, 13440])).
% 54.00/34.20 tff(13491,plain,
% 54.00/34.20 ((~v90(constB66, 1)) | v90(constB67, 1)),
% 54.00/34.20 inference(unit_resolution,[status(thm)],[13490, 13452])).
% 54.00/34.20 tff(13492,plain,
% 54.00/34.20 (v90(constB67, 1)),
% 54.00/34.20 inference(unit_resolution,[status(thm)],[13491, 13483])).
% 54.00/34.20 tff(13493,plain,
% 54.00/34.20 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB65)) | v130(constB65, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB65)) | v130(constB65, 0))),
% 54.00/34.20 inference(rewrite,[status(thm)],[])).
% 54.00/34.20 tff(13494,plain,
% 54.00/34.20 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB65)) | v130(constB65, 0))),
% 54.00/34.20 inference(quant_inst,[status(thm)],[])).
% 54.00/34.20 tff(13495,plain,
% 54.00/34.20 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB65)) | v130(constB65, 0)),
% 54.00/34.20 inference(modus_ponens,[status(thm)],[13494, 13493])).
% 54.00/34.20 tff(13496,plain,
% 54.00/34.20 (v130(constB65, 0)),
% 54.00/34.20 inference(unit_resolution,[status(thm)],[13495, 1915, 13408])).
% 54.00/34.20 tff(13497,plain,
% 54.00/34.20 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB65) | (~v130(constB65, 0)) | v127(constB65, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB65) | (~v130(constB65, 0)) | v127(constB65, 0))),
% 54.00/34.20 inference(rewrite,[status(thm)],[])).
% 54.00/34.20 tff(13498,plain,
% 54.00/34.20 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB65) | (~v130(constB65, 0)) | v127(constB65, 0))),
% 54.00/34.20 inference(quant_inst,[status(thm)],[])).
% 54.00/34.20 tff(13499,plain,
% 54.00/34.20 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB65) | (~v130(constB65, 0)) | v127(constB65, 0)),
% 54.00/34.20 inference(modus_ponens,[status(thm)],[13498, 13497])).
% 54.00/34.20 tff(13500,plain,
% 54.00/34.20 ((~v130(constB65, 0)) | v127(constB65, 0)),
% 54.00/34.20 inference(unit_resolution,[status(thm)],[13499, 1347, 13416])).
% 54.00/34.20 tff(13501,plain,
% 54.00/34.20 (v127(constB65, 0)),
% 54.00/34.20 inference(unit_resolution,[status(thm)],[13500, 13496])).
% 54.00/34.20 tff(13502,plain,
% 54.00/34.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB65, constB66)) | (~v127(constB65, 0)) | v129(constB66, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB65, constB66)) | (~v127(constB65, 0)) | v129(constB66, 0))),
% 54.00/34.20 inference(rewrite,[status(thm)],[])).
% 54.00/34.20 tff(13503,plain,
% 54.00/34.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB65, constB66)) | (~v127(constB65, 0)) | v129(constB66, 0))),
% 54.00/34.20 inference(quant_inst,[status(thm)],[])).
% 54.00/34.20 tff(13504,plain,
% 54.00/34.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB65, constB66)) | (~v127(constB65, 0)) | v129(constB66, 0)),
% 54.00/34.20 inference(modus_ponens,[status(thm)],[13503, 13502])).
% 54.00/34.20 tff(13505,plain,
% 54.00/34.20 ((~v127(constB65, 0)) | v129(constB66, 0)),
% 54.00/34.20 inference(unit_resolution,[status(thm)],[13504, 1362, 13308])).
% 54.00/34.20 tff(13506,plain,
% 54.00/34.20 (v129(constB66, 0)),
% 54.00/34.20 inference(unit_resolution,[status(thm)],[13505, 13501])).
% 54.00/34.20 tff(13507,plain,
% 54.00/34.20 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB66, 0) | (~v129(constB66, 0)) | (~v100(constB66)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB66, 0) | (~v129(constB66, 0)) | (~v100(constB66)))),
% 54.00/34.20 inference(rewrite,[status(thm)],[])).
% 54.00/34.20 tff(13508,plain,
% 54.00/34.20 ((v90(constB66, 0) | (~v100(constB66)) | (~v129(constB66, 0))) <=> (v90(constB66, 0) | (~v129(constB66, 0)) | (~v100(constB66)))),
% 54.00/34.20 inference(rewrite,[status(thm)],[])).
% 54.00/34.20 tff(13509,plain,
% 54.00/34.20 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB66, 0) | (~v100(constB66)) | (~v129(constB66, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB66, 0) | (~v129(constB66, 0)) | (~v100(constB66))))),
% 54.00/34.20 inference(monotonicity,[status(thm)],[13508])).
% 54.00/34.20 tff(13510,plain,
% 54.00/34.20 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB66, 0) | (~v100(constB66)) | (~v129(constB66, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB66, 0) | (~v129(constB66, 0)) | (~v100(constB66)))),
% 54.00/34.20 inference(transitivity,[status(thm)],[13509, 13507])).
% 54.00/34.20 tff(13511,plain,
% 54.00/34.20 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB66, 0) | (~v100(constB66)) | (~v129(constB66, 0)))),
% 54.00/34.20 inference(quant_inst,[status(thm)],[])).
% 54.00/34.20 tff(13512,plain,
% 54.00/34.20 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB66, 0) | (~v129(constB66, 0)) | (~v100(constB66))),
% 54.00/34.20 inference(modus_ponens,[status(thm)],[13511, 13510])).
% 54.00/34.20 tff(13513,plain,
% 54.00/34.20 (v90(constB66, 0) | (~v100(constB66))),
% 54.00/34.20 inference(unit_resolution,[status(thm)],[13512, 1377, 13506])).
% 54.00/34.20 tff(13514,plain,
% 54.00/34.20 (v90(constB66, 0)),
% 54.00/34.20 inference(unit_resolution,[status(thm)],[13513, 13342])).
% 54.00/34.20 tff(13515,plain,
% 54.00/34.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB66, 0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB66, 0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, 0))),
% 54.00/34.20 inference(rewrite,[status(thm)],[])).
% 54.00/34.20 tff(13516,plain,
% 54.00/34.20 (((~nextState(constB66, constB67)) | (~v90(constB66, 0)) | v100(constB67) | v90(constB67, 0)) <=> ((~v90(constB66, 0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, 0))),
% 54.00/34.20 inference(rewrite,[status(thm)],[])).
% 54.00/34.20 tff(13517,plain,
% 54.00/34.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB66, constB67)) | (~v90(constB66, 0)) | v100(constB67) | v90(constB67, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB66, 0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, 0)))),
% 54.00/34.20 inference(monotonicity,[status(thm)],[13516])).
% 54.00/34.20 tff(13518,plain,
% 54.00/34.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB66, constB67)) | (~v90(constB66, 0)) | v100(constB67) | v90(constB67, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB66, 0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, 0))),
% 54.00/34.20 inference(transitivity,[status(thm)],[13517, 13515])).
% 54.00/34.20 tff(13519,plain,
% 54.00/34.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB66, constB67)) | (~v90(constB66, 0)) | v100(constB67) | v90(constB67, 0))),
% 54.00/34.20 inference(quant_inst,[status(thm)],[])).
% 54.00/34.20 tff(13520,plain,
% 54.00/34.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB66, 0)) | (~nextState(constB66, constB67)) | v100(constB67) | v90(constB67, 0)),
% 54.00/34.20 inference(modus_ponens,[status(thm)],[13519, 13518])).
% 54.00/34.20 tff(13521,plain,
% 54.00/34.20 ((~v90(constB66, 0)) | v100(constB67) | v90(constB67, 0)),
% 54.00/34.20 inference(unit_resolution,[status(thm)],[13520, 1395, 13440])).
% 54.00/34.20 tff(13522,plain,
% 54.00/34.20 ((~v90(constB66, 0)) | v90(constB67, 0)),
% 54.00/34.20 inference(unit_resolution,[status(thm)],[13521, 13452])).
% 54.00/34.20 tff(13523,plain,
% 54.00/34.20 (v90(constB67, 0)),
% 54.00/34.20 inference(unit_resolution,[status(thm)],[13522, 13514])).
% 54.00/34.20 tff(13524,plain,
% 54.00/34.20 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB67, 0)) | (~v90(constB67, 1)) | v90(constB67, 2) | v122(constB67))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB67, 0)) | (~v90(constB67, 1)) | v90(constB67, 2) | v122(constB67))),
% 54.00/34.20 inference(rewrite,[status(thm)],[])).
% 54.00/34.20 tff(13525,plain,
% 54.00/34.20 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB67, 0)) | (~v90(constB67, 1)) | v90(constB67, 2) | v122(constB67))),
% 54.00/34.20 inference(quant_inst,[status(thm)],[])).
% 54.00/34.20 tff(13526,plain,
% 54.00/34.20 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB67, 0)) | (~v90(constB67, 1)) | v90(constB67, 2) | v122(constB67)),
% 54.00/34.20 inference(modus_ponens,[status(thm)],[13525, 13524])).
% 54.00/34.20 tff(13527,plain,
% 54.00/34.20 (v122(constB67)),
% 54.00/34.20 inference(unit_resolution,[status(thm)],[13526, 1956, 13523, 13492, 13461])).
% 54.00/34.20 tff(13528,plain,
% 54.00/34.20 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB67)) | v116(constB67))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB67)) | v116(constB67))),
% 54.00/34.20 inference(rewrite,[status(thm)],[])).
% 54.00/34.20 tff(13529,plain,
% 54.00/34.20 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB67)) | v116(constB67))),
% 54.00/34.20 inference(quant_inst,[status(thm)],[])).
% 54.00/34.20 tff(13530,plain,
% 54.00/34.20 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB67)) | v116(constB67)),
% 54.00/34.20 inference(modus_ponens,[status(thm)],[13529, 13528])).
% 54.00/34.20 tff(13531,plain,
% 54.00/34.20 (v116(constB67)),
% 54.00/34.20 inference(unit_resolution,[status(thm)],[13530, 2120, 13527])).
% 54.00/34.20 tff(13532,plain,
% 54.00/34.20 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB67)) | v115(constB67))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB67)) | v115(constB67))),
% 54.00/34.20 inference(rewrite,[status(thm)],[])).
% 54.00/34.20 tff(13533,plain,
% 54.00/34.20 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB67)) | v115(constB67))),
% 54.00/34.20 inference(quant_inst,[status(thm)],[])).
% 54.00/34.20 tff(13534,plain,
% 54.00/34.20 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB67)) | v115(constB67)),
% 54.00/34.20 inference(modus_ponens,[status(thm)],[13533, 13532])).
% 54.00/34.20 tff(13535,plain,
% 54.00/34.20 (v115(constB67)),
% 54.00/34.20 inference(unit_resolution,[status(thm)],[13534, 1021, 13531])).
% 54.00/34.20 tff(13536,plain,
% 54.00/34.20 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB67) | (~v115(constB67)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB67) | (~v115(constB67)))),
% 54.00/34.20 inference(rewrite,[status(thm)],[])).
% 54.00/34.20 tff(13537,plain,
% 54.00/34.20 (((~v115(constB67)) | v114(constB67)) <=> (v114(constB67) | (~v115(constB67)))),
% 54.00/34.20 inference(rewrite,[status(thm)],[])).
% 54.00/34.20 tff(13538,plain,
% 54.00/34.20 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB67)) | v114(constB67))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB67) | (~v115(constB67))))),
% 54.00/34.20 inference(monotonicity,[status(thm)],[13537])).
% 54.00/34.20 tff(13539,plain,
% 54.00/34.20 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB67)) | v114(constB67))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB67) | (~v115(constB67)))),
% 54.00/34.20 inference(transitivity,[status(thm)],[13538, 13536])).
% 54.00/34.20 tff(13540,plain,
% 54.00/34.20 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB67)) | v114(constB67))),
% 54.00/34.20 inference(quant_inst,[status(thm)],[])).
% 54.00/34.20 tff(13541,plain,
% 54.00/34.20 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB67) | (~v115(constB67))),
% 54.00/34.20 inference(modus_ponens,[status(thm)],[13540, 13539])).
% 54.00/34.20 tff(13542,plain,
% 54.00/34.20 (v114(constB67)),
% 54.00/34.20 inference(unit_resolution,[status(thm)],[13541, 1035, 13535])).
% 54.00/34.20 tff(13543,plain,
% 54.00/34.20 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB67) | (~v114(constB67)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB67) | (~v114(constB67)))),
% 54.00/34.20 inference(rewrite,[status(thm)],[])).
% 54.00/34.20 tff(13544,plain,
% 54.00/34.20 (((~v114(constB67)) | v113(constB67)) <=> (v113(constB67) | (~v114(constB67)))),
% 54.00/34.20 inference(rewrite,[status(thm)],[])).
% 54.00/34.20 tff(13545,plain,
% 54.00/34.20 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB67)) | v113(constB67))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB67) | (~v114(constB67))))),
% 54.00/34.20 inference(monotonicity,[status(thm)],[13544])).
% 54.00/34.20 tff(13546,plain,
% 54.00/34.20 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB67)) | v113(constB67))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB67) | (~v114(constB67)))),
% 54.00/34.20 inference(transitivity,[status(thm)],[13545, 13543])).
% 54.00/34.20 tff(13547,plain,
% 54.00/34.20 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB67)) | v113(constB67))),
% 54.00/34.20 inference(quant_inst,[status(thm)],[])).
% 54.00/34.20 tff(13548,plain,
% 54.00/34.20 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB67) | (~v114(constB67))),
% 54.00/34.20 inference(modus_ponens,[status(thm)],[13547, 13546])).
% 54.00/34.20 tff(13549,plain,
% 54.00/34.20 (v113(constB67)),
% 54.00/34.20 inference(unit_resolution,[status(thm)],[13548, 1049, 13542])).
% 54.00/34.20 tff(13550,assumption,(v26(constB67)), introduced(assumption)).
% 54.00/34.20 tff(13551,plain,
% 54.00/34.20 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB67))),
% 54.00/34.20 inference(quant_inst,[status(thm)],[])).
% 54.00/34.20 tff(13552,plain,
% 54.00/34.20 ($false),
% 54.00/34.20 inference(unit_resolution,[status(thm)],[13551, 828, 13550])).
% 54.00/34.20 tff(13553,plain,(~v26(constB67)), inference(lemma,lemma(discharge,[]))).
% 54.00/34.20 tff(13554,plain,
% 54.00/34.20 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB67) | v112(constB67) | (~v113(constB67)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB67) | v112(constB67) | (~v113(constB67)))),
% 54.00/34.20 inference(rewrite,[status(thm)],[])).
% 54.00/34.20 tff(13555,plain,
% 54.00/34.20 ((v26(constB67) | (~v113(constB67)) | v112(constB67)) <=> (v26(constB67) | v112(constB67) | (~v113(constB67)))),
% 54.00/34.20 inference(rewrite,[status(thm)],[])).
% 54.00/34.20 tff(13556,plain,
% 54.00/34.20 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB67) | (~v113(constB67)) | v112(constB67))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB67) | v112(constB67) | (~v113(constB67))))),
% 54.00/34.20 inference(monotonicity,[status(thm)],[13555])).
% 54.04/34.20 tff(13557,plain,
% 54.04/34.20 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB67) | (~v113(constB67)) | v112(constB67))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB67) | v112(constB67) | (~v113(constB67)))),
% 54.04/34.20 inference(transitivity,[status(thm)],[13556, 13554])).
% 54.04/34.20 tff(13558,plain,
% 54.04/34.20 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB67) | (~v113(constB67)) | v112(constB67))),
% 54.04/34.20 inference(quant_inst,[status(thm)],[])).
% 54.04/34.20 tff(13559,plain,
% 54.04/34.20 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB67) | v112(constB67) | (~v113(constB67))),
% 54.04/34.20 inference(modus_ponens,[status(thm)],[13558, 13557])).
% 54.04/34.20 tff(13560,plain,
% 54.04/34.20 (v112(constB67) | (~v113(constB67))),
% 54.04/34.20 inference(unit_resolution,[status(thm)],[13559, 1063, 13553])).
% 54.04/34.20 tff(13561,plain,
% 54.04/34.20 (v112(constB67)),
% 54.04/34.20 inference(unit_resolution,[status(thm)],[13560, 13549])).
% 54.04/34.20 tff(13562,plain,
% 54.04/34.20 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB67) | (~v112(constB67)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB67) | (~v112(constB67)))),
% 54.04/34.20 inference(rewrite,[status(thm)],[])).
% 54.04/34.20 tff(13563,plain,
% 54.04/34.20 (((~v112(constB67)) | v108(constB67)) <=> (v108(constB67) | (~v112(constB67)))),
% 54.04/34.20 inference(rewrite,[status(thm)],[])).
% 54.04/34.20 tff(13564,plain,
% 54.04/34.20 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB67)) | v108(constB67))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB67) | (~v112(constB67))))),
% 54.04/34.20 inference(monotonicity,[status(thm)],[13563])).
% 54.04/34.20 tff(13565,plain,
% 54.04/34.20 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB67)) | v108(constB67))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB67) | (~v112(constB67)))),
% 54.04/34.20 inference(transitivity,[status(thm)],[13564, 13562])).
% 54.04/34.20 tff(13566,plain,
% 54.04/34.20 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB67)) | v108(constB67))),
% 54.04/34.20 inference(quant_inst,[status(thm)],[])).
% 54.04/34.20 tff(13567,plain,
% 54.04/34.20 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB67) | (~v112(constB67))),
% 54.04/34.20 inference(modus_ponens,[status(thm)],[13566, 13565])).
% 54.04/34.20 tff(13568,plain,
% 54.04/34.20 (v108(constB67)),
% 54.04/34.20 inference(unit_resolution,[status(thm)],[13567, 1075, 13561])).
% 54.04/34.20 tff(13569,plain,
% 54.04/34.20 (nextState(constB67, constB68) <=> nextState(constB67, constB68)),
% 54.04/34.20 inference(rewrite,[status(thm)],[])).
% 54.04/34.20 tff(13570,axiom,(nextState(constB67, constB68)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_67_1')).
% 54.04/34.20 tff(13571,plain,
% 54.04/34.20 (nextState(constB67, constB68)),
% 54.04/34.20 inference(modus_ponens,[status(thm)],[13570, 13569])).
% 54.04/34.20 tff(13572,plain,
% 54.04/34.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67)))),
% 54.04/34.20 inference(rewrite,[status(thm)],[])).
% 54.04/34.20 tff(13573,plain,
% 54.04/34.20 (((~nextState(constB67, constB68)) | (~v108(constB67)) | v110(constB68)) <=> ((~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67)))),
% 54.04/34.20 inference(rewrite,[status(thm)],[])).
% 54.04/34.20 tff(13574,plain,
% 54.04/34.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB67, constB68)) | (~v108(constB67)) | v110(constB68))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67))))),
% 54.04/34.20 inference(monotonicity,[status(thm)],[13573])).
% 54.04/34.20 tff(13575,plain,
% 54.04/34.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB67, constB68)) | (~v108(constB67)) | v110(constB68))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67)))),
% 54.04/34.20 inference(transitivity,[status(thm)],[13574, 13572])).
% 54.04/34.20 tff(13576,plain,
% 54.04/34.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB67, constB68)) | (~v108(constB67)) | v110(constB68))),
% 54.04/34.20 inference(quant_inst,[status(thm)],[])).
% 54.04/34.20 tff(13577,plain,
% 54.04/34.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB67, constB68)) | v110(constB68) | (~v108(constB67))),
% 54.04/34.20 inference(modus_ponens,[status(thm)],[13576, 13575])).
% 54.04/34.20 tff(13578,plain,
% 54.04/34.20 (v110(constB68) | (~v108(constB67))),
% 54.04/34.20 inference(unit_resolution,[status(thm)],[13577, 1095, 13571])).
% 54.04/34.20 tff(13579,plain,
% 54.04/34.20 (v110(constB68)),
% 54.04/34.20 inference(unit_resolution,[status(thm)],[13578, 13568])).
% 54.04/34.20 tff(13580,plain,
% 54.04/34.20 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB67) | (~nextState(constB67, constB68)) | (~v104(constB68)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB67) | (~nextState(constB67, constB68)) | (~v104(constB68)))),
% 54.04/34.20 inference(rewrite,[status(thm)],[])).
% 54.04/34.20 tff(13581,plain,
% 54.04/34.20 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB67) | (~nextState(constB67, constB68)) | (~v104(constB68)))),
% 54.04/34.20 inference(quant_inst,[status(thm)],[])).
% 54.04/34.20 tff(13582,plain,
% 54.04/34.20 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB67) | (~nextState(constB67, constB68)) | (~v104(constB68))),
% 54.04/34.20 inference(modus_ponens,[status(thm)],[13581, 13580])).
% 54.04/34.20 tff(13583,plain,
% 54.04/34.20 (~v104(constB68)),
% 54.04/34.20 inference(unit_resolution,[status(thm)],[13582, 1113, 13571, 13437])).
% 54.04/34.20 tff(13584,plain,
% 54.04/34.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB67, constB68)) | v102(constB68) | v104(constB68))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB67, constB68)) | v102(constB68) | v104(constB68))),
% 54.04/34.20 inference(rewrite,[status(thm)],[])).
% 54.04/34.20 tff(13585,plain,
% 54.04/34.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB67, constB68)) | v102(constB68) | v104(constB68))),
% 54.04/34.20 inference(quant_inst,[status(thm)],[])).
% 54.04/34.20 tff(13586,plain,
% 54.04/34.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB67, constB68)) | v102(constB68) | v104(constB68)),
% 54.04/34.20 inference(modus_ponens,[status(thm)],[13585, 13584])).
% 54.04/34.20 tff(13587,plain,
% 54.04/34.20 (v102(constB68) | v104(constB68)),
% 54.04/34.20 inference(unit_resolution,[status(thm)],[13586, 1127, 13571])).
% 54.04/34.20 tff(13588,plain,
% 54.04/34.20 (v102(constB68)),
% 54.04/34.20 inference(unit_resolution,[status(thm)],[13587, 13583])).
% 54.04/34.20 tff(13589,plain,
% 54.04/34.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB67, constB68)) | v101(constB68) | (~v102(constB68)) | (~v1(constB68)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB67, constB68)) | v101(constB68) | (~v102(constB68)) | (~v1(constB68)))),
% 54.04/34.20 inference(rewrite,[status(thm)],[])).
% 54.04/34.20 tff(13590,plain,
% 54.04/34.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB67, constB68)) | v101(constB68) | (~v102(constB68)) | (~v1(constB68)))),
% 54.04/34.20 inference(quant_inst,[status(thm)],[])).
% 54.04/34.20 tff(13591,plain,
% 54.04/34.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB67, constB68)) | v101(constB68) | (~v102(constB68)) | (~v1(constB68))),
% 54.04/34.20 inference(modus_ponens,[status(thm)],[13590, 13589])).
% 54.04/34.20 tff(13592,plain,
% 54.04/34.20 (v101(constB68) | (~v102(constB68))),
% 54.04/34.20 inference(unit_resolution,[status(thm)],[13591, 1145, 13571, 442])).
% 54.04/34.20 tff(13593,plain,
% 54.04/34.20 (v101(constB68)),
% 54.04/34.20 inference(unit_resolution,[status(thm)],[13592, 13588])).
% 54.04/34.20 tff(13594,plain,
% 54.04/34.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68)))),
% 54.04/34.20 inference(rewrite,[status(thm)],[])).
% 54.04/34.20 tff(13595,plain,
% 54.04/34.20 (((~nextState(constB67, constB68)) | (~v101(constB68)) | (~v110(constB68)) | v100(constB68)) <=> ((~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68)))),
% 54.04/34.20 inference(rewrite,[status(thm)],[])).
% 54.04/34.20 tff(13596,plain,
% 54.04/34.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB67, constB68)) | (~v101(constB68)) | (~v110(constB68)) | v100(constB68))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68))))),
% 54.04/34.20 inference(monotonicity,[status(thm)],[13595])).
% 54.04/34.20 tff(13597,plain,
% 54.04/34.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB67, constB68)) | (~v101(constB68)) | (~v110(constB68)) | v100(constB68))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68)))),
% 54.04/34.20 inference(transitivity,[status(thm)],[13596, 13594])).
% 54.04/34.20 tff(13598,plain,
% 54.04/34.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB67, constB68)) | (~v101(constB68)) | (~v110(constB68)) | v100(constB68))),
% 54.04/34.20 inference(quant_inst,[status(thm)],[])).
% 54.04/34.20 tff(13599,plain,
% 54.04/34.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB67, constB68)) | v100(constB68) | (~v101(constB68)) | (~v110(constB68))),
% 54.04/34.20 inference(modus_ponens,[status(thm)],[13598, 13597])).
% 54.04/34.20 tff(13600,plain,
% 54.04/34.20 (v100(constB68) | (~v101(constB68)) | (~v110(constB68))),
% 54.04/34.20 inference(unit_resolution,[status(thm)],[13599, 1160, 13571])).
% 54.04/34.20 tff(13601,plain,
% 54.04/34.20 (v100(constB68) | (~v110(constB68))),
% 54.04/34.20 inference(unit_resolution,[status(thm)],[13600, 13593])).
% 54.04/34.20 tff(13602,plain,
% 54.04/34.20 (v100(constB68)),
% 54.04/34.20 inference(unit_resolution,[status(thm)],[13601, 13579])).
% 54.04/34.20 tff(13603,plain,
% 54.04/34.20 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB67)) | v130(constB67, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB67)) | v130(constB67, 2))),
% 54.04/34.20 inference(rewrite,[status(thm)],[])).
% 54.04/34.20 tff(13604,plain,
% 54.04/34.20 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB67)) | v130(constB67, 2))),
% 54.04/34.20 inference(quant_inst,[status(thm)],[])).
% 54.04/34.20 tff(13605,plain,
% 54.04/34.20 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB67)) | v130(constB67, 2)),
% 54.04/34.20 inference(modus_ponens,[status(thm)],[13604, 13603])).
% 54.04/34.20 tff(13606,plain,
% 54.04/34.20 (v130(constB67, 2)),
% 54.04/34.20 inference(unit_resolution,[status(thm)],[13605, 1967, 13527])).
% 54.04/34.20 tff(13607,plain,
% 54.04/34.20 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB67) | (~v130(constB67, 2)) | v127(constB67, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB67) | (~v130(constB67, 2)) | v127(constB67, 2))),
% 54.04/34.20 inference(rewrite,[status(thm)],[])).
% 54.04/34.20 tff(13608,plain,
% 54.04/34.20 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB67) | (~v130(constB67, 2)) | v127(constB67, 2))),
% 54.04/34.20 inference(quant_inst,[status(thm)],[])).
% 54.04/34.20 tff(13609,plain,
% 54.04/34.20 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB67) | (~v130(constB67, 2)) | v127(constB67, 2)),
% 54.04/34.20 inference(modus_ponens,[status(thm)],[13608, 13607])).
% 54.04/34.20 tff(13610,plain,
% 54.04/34.20 ((~v130(constB67, 2)) | v127(constB67, 2)),
% 54.04/34.20 inference(unit_resolution,[status(thm)],[13609, 1981, 13553])).
% 54.04/34.20 tff(13611,plain,
% 54.04/34.20 (v127(constB67, 2)),
% 54.04/34.20 inference(unit_resolution,[status(thm)],[13610, 13606])).
% 54.04/34.20 tff(13612,plain,
% 54.04/34.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB67, constB68)) | (~v127(constB67, 2)) | v129(constB68, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB67, constB68)) | (~v127(constB67, 2)) | v129(constB68, 2))),
% 54.04/34.20 inference(rewrite,[status(thm)],[])).
% 54.04/34.20 tff(13613,plain,
% 54.04/34.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB67, constB68)) | (~v127(constB67, 2)) | v129(constB68, 2))),
% 54.04/34.20 inference(quant_inst,[status(thm)],[])).
% 54.04/34.20 tff(13614,plain,
% 54.04/34.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB67, constB68)) | (~v127(constB67, 2)) | v129(constB68, 2)),
% 54.04/34.20 inference(modus_ponens,[status(thm)],[13613, 13612])).
% 54.04/34.20 tff(13615,plain,
% 54.04/34.20 ((~v127(constB67, 2)) | v129(constB68, 2)),
% 54.04/34.20 inference(unit_resolution,[status(thm)],[13614, 1999, 13571])).
% 54.04/34.20 tff(13616,plain,
% 54.04/34.20 (v129(constB68, 2)),
% 54.04/34.20 inference(unit_resolution,[status(thm)],[13615, 13611])).
% 54.04/34.20 tff(13617,plain,
% 54.04/34.20 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB68, 2) | (~v129(constB68, 2)) | (~v100(constB68)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB68, 2) | (~v129(constB68, 2)) | (~v100(constB68)))),
% 54.04/34.20 inference(rewrite,[status(thm)],[])).
% 54.04/34.20 tff(13618,plain,
% 54.04/34.20 ((v90(constB68, 2) | (~v100(constB68)) | (~v129(constB68, 2))) <=> (v90(constB68, 2) | (~v129(constB68, 2)) | (~v100(constB68)))),
% 54.04/34.20 inference(rewrite,[status(thm)],[])).
% 54.04/34.20 tff(13619,plain,
% 54.04/34.20 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB68, 2) | (~v100(constB68)) | (~v129(constB68, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB68, 2) | (~v129(constB68, 2)) | (~v100(constB68))))),
% 54.04/34.20 inference(monotonicity,[status(thm)],[13618])).
% 54.04/34.20 tff(13620,plain,
% 54.04/34.20 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB68, 2) | (~v100(constB68)) | (~v129(constB68, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB68, 2) | (~v129(constB68, 2)) | (~v100(constB68)))),
% 54.04/34.20 inference(transitivity,[status(thm)],[13619, 13617])).
% 54.04/34.20 tff(13621,plain,
% 54.04/34.20 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB68, 2) | (~v100(constB68)) | (~v129(constB68, 2)))),
% 54.04/34.20 inference(quant_inst,[status(thm)],[])).
% 54.04/34.20 tff(13622,plain,
% 54.04/34.20 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB68, 2) | (~v129(constB68, 2)) | (~v100(constB68))),
% 54.04/34.20 inference(modus_ponens,[status(thm)],[13621, 13620])).
% 54.04/34.20 tff(13623,plain,
% 54.04/34.20 (v90(constB68, 2) | (~v100(constB68))),
% 54.04/34.20 inference(unit_resolution,[status(thm)],[13622, 2324, 13616])).
% 54.04/34.20 tff(13624,plain,
% 54.04/34.20 (v90(constB68, 2)),
% 54.04/34.20 inference(unit_resolution,[status(thm)],[13623, 13602])).
% 54.04/34.20 tff(13625,plain,
% 54.04/34.20 ((~v1(constB69)) <=> (~v1(constB69))),
% 54.04/34.20 inference(rewrite,[status(thm)],[])).
% 54.04/34.20 tff(13626,axiom,(~v1(constB69)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_69_1_1')).
% 54.04/34.20 tff(13627,plain,
% 54.04/34.20 (~v1(constB69)),
% 54.04/34.20 inference(modus_ponens,[status(thm)],[13626, 13625])).
% 54.04/34.20 tff(13628,plain,
% 54.04/34.20 (nextState(constB68, constB69) <=> nextState(constB68, constB69)),
% 54.04/34.20 inference(rewrite,[status(thm)],[])).
% 54.04/34.20 tff(13629,axiom,(nextState(constB68, constB69)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_68_1')).
% 54.04/34.20 tff(13630,plain,
% 54.04/34.20 (nextState(constB68, constB69)),
% 54.04/34.20 inference(modus_ponens,[status(thm)],[13629, 13628])).
% 54.04/34.20 tff(13631,plain,
% 54.04/34.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69)))),
% 54.04/34.20 inference(rewrite,[status(thm)],[])).
% 54.04/34.20 tff(13632,plain,
% 54.04/34.20 (((~nextState(constB68, constB69)) | (~v101(constB69)) | v1(constB69)) <=> (v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69)))),
% 54.04/34.20 inference(rewrite,[status(thm)],[])).
% 54.04/34.20 tff(13633,plain,
% 54.04/34.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB68, constB69)) | (~v101(constB69)) | v1(constB69))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69))))),
% 54.04/34.20 inference(monotonicity,[status(thm)],[13632])).
% 54.04/34.20 tff(13634,plain,
% 54.04/34.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB68, constB69)) | (~v101(constB69)) | v1(constB69))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69)))),
% 54.04/34.20 inference(transitivity,[status(thm)],[13633, 13631])).
% 54.04/34.20 tff(13635,plain,
% 54.04/34.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB68, constB69)) | (~v101(constB69)) | v1(constB69))),
% 54.04/34.20 inference(quant_inst,[status(thm)],[])).
% 54.04/34.20 tff(13636,plain,
% 54.04/34.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB69) | (~nextState(constB68, constB69)) | (~v101(constB69))),
% 54.04/34.20 inference(modus_ponens,[status(thm)],[13635, 13634])).
% 54.04/34.20 tff(13637,plain,
% 54.04/34.20 (~v101(constB69)),
% 54.04/34.20 inference(unit_resolution,[status(thm)],[13636, 873, 13630, 13627])).
% 54.04/34.20 tff(13638,plain,
% 54.04/34.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB68, constB69)) | v101(constB69) | (~v100(constB69)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB68, constB69)) | v101(constB69) | (~v100(constB69)))),
% 54.04/34.20 inference(rewrite,[status(thm)],[])).
% 54.04/34.20 tff(13639,plain,
% 54.04/34.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB68, constB69)) | v101(constB69) | (~v100(constB69)))),
% 54.04/34.20 inference(quant_inst,[status(thm)],[])).
% 54.04/34.20 tff(13640,plain,
% 54.04/34.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB68, constB69)) | v101(constB69) | (~v100(constB69))),
% 54.04/34.21 inference(modus_ponens,[status(thm)],[13639, 13638])).
% 54.04/34.21 tff(13641,plain,
% 54.04/34.21 (v101(constB69) | (~v100(constB69))),
% 54.04/34.21 inference(unit_resolution,[status(thm)],[13640, 890, 13630])).
% 54.04/34.21 tff(13642,plain,
% 54.04/34.21 (~v100(constB69)),
% 54.04/34.21 inference(unit_resolution,[status(thm)],[13641, 13637])).
% 54.04/34.21 tff(13643,plain,
% 54.04/34.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB68, 2)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB68, 2)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, 2))),
% 54.04/34.21 inference(rewrite,[status(thm)],[])).
% 54.04/34.21 tff(13644,plain,
% 54.04/34.21 (((~nextState(constB68, constB69)) | (~v90(constB68, 2)) | v100(constB69) | v90(constB69, 2)) <=> ((~v90(constB68, 2)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, 2))),
% 54.04/34.21 inference(rewrite,[status(thm)],[])).
% 54.04/34.21 tff(13645,plain,
% 54.04/34.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB68, constB69)) | (~v90(constB68, 2)) | v100(constB69) | v90(constB69, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB68, 2)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, 2)))),
% 54.04/34.21 inference(monotonicity,[status(thm)],[13644])).
% 54.04/34.21 tff(13646,plain,
% 54.04/34.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB68, constB69)) | (~v90(constB68, 2)) | v100(constB69) | v90(constB69, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB68, 2)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, 2))),
% 54.04/34.21 inference(transitivity,[status(thm)],[13645, 13643])).
% 54.04/34.21 tff(13647,plain,
% 54.04/34.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB68, constB69)) | (~v90(constB68, 2)) | v100(constB69) | v90(constB69, 2))),
% 54.04/34.21 inference(quant_inst,[status(thm)],[])).
% 54.04/34.21 tff(13648,plain,
% 54.04/34.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB68, 2)) | (~nextState(constB68, constB69)) | v100(constB69) | v90(constB69, 2)),
% 54.04/34.21 inference(modus_ponens,[status(thm)],[13647, 13646])).
% 54.04/34.21 tff(13649,plain,
% 54.04/34.21 ((~v90(constB68, 2)) | v100(constB69) | v90(constB69, 2)),
% 54.04/34.21 inference(unit_resolution,[status(thm)],[13648, 2174, 13630])).
% 54.04/34.21 tff(13650,plain,
% 54.04/34.21 ((~v90(constB68, 2)) | v90(constB69, 2)),
% 54.04/34.21 inference(unit_resolution,[status(thm)],[13649, 13642])).
% 54.04/34.21 tff(13651,plain,
% 54.04/34.21 (v90(constB69, 2)),
% 54.04/34.21 inference(unit_resolution,[status(thm)],[13650, 13624])).
% 54.04/34.21 tff(13652,plain,
% 54.04/34.21 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB67)) | (~v130(constB67, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB67)) | (~v130(constB67, 1)))),
% 54.04/34.21 inference(rewrite,[status(thm)],[])).
% 54.04/34.21 tff(13653,plain,
% 54.04/34.21 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB67)) | (~v130(constB67, 1)))),
% 54.04/34.21 inference(quant_inst,[status(thm)],[])).
% 54.04/34.21 tff(13654,plain,
% 54.04/34.21 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB67)) | (~v130(constB67, 1))),
% 54.04/34.21 inference(modus_ponens,[status(thm)],[13653, 13652])).
% 54.04/34.21 tff(13655,plain,
% 54.04/34.21 (~v130(constB67, 1)),
% 54.04/34.21 inference(unit_resolution,[status(thm)],[13654, 2366, 13527])).
% 54.04/34.21 tff(13656,plain,
% 54.04/34.21 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB67, 1)) | v26(constB67) | v130(constB67, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB67, 1)) | v26(constB67) | v130(constB67, 1))),
% 54.04/34.21 inference(rewrite,[status(thm)],[])).
% 54.04/34.21 tff(13657,plain,
% 54.04/34.21 ((v26(constB67) | v130(constB67, 1) | (~v127(constB67, 1))) <=> ((~v127(constB67, 1)) | v26(constB67) | v130(constB67, 1))),
% 54.04/34.21 inference(rewrite,[status(thm)],[])).
% 54.04/34.21 tff(13658,plain,
% 54.04/34.21 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB67) | v130(constB67, 1) | (~v127(constB67, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB67, 1)) | v26(constB67) | v130(constB67, 1)))),
% 54.04/34.21 inference(monotonicity,[status(thm)],[13657])).
% 54.04/34.21 tff(13659,plain,
% 54.04/34.21 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB67) | v130(constB67, 1) | (~v127(constB67, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB67, 1)) | v26(constB67) | v130(constB67, 1))),
% 54.04/34.21 inference(transitivity,[status(thm)],[13658, 13656])).
% 54.04/34.21 tff(13660,plain,
% 54.04/34.21 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB67) | v130(constB67, 1) | (~v127(constB67, 1)))),
% 54.04/34.21 inference(quant_inst,[status(thm)],[])).
% 54.04/34.21 tff(13661,plain,
% 54.04/34.21 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB67, 1)) | v26(constB67) | v130(constB67, 1)),
% 54.04/34.21 inference(modus_ponens,[status(thm)],[13660, 13659])).
% 54.04/34.21 tff(13662,plain,
% 54.04/34.21 ((~v127(constB67, 1)) | v130(constB67, 1)),
% 54.04/34.21 inference(unit_resolution,[status(thm)],[13661, 1276, 13553])).
% 54.04/34.21 tff(13663,plain,
% 54.04/34.21 (~v127(constB67, 1)),
% 54.04/34.21 inference(unit_resolution,[status(thm)],[13662, 13655])).
% 54.04/34.21 tff(13664,plain,
% 54.04/34.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB67, constB68)) | v127(constB67, 1) | (~v129(constB68, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB67, constB68)) | v127(constB67, 1) | (~v129(constB68, 1)))),
% 54.04/34.21 inference(rewrite,[status(thm)],[])).
% 54.04/34.21 tff(13665,plain,
% 54.04/34.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB67, constB68)) | v127(constB67, 1) | (~v129(constB68, 1)))),
% 54.04/34.21 inference(quant_inst,[status(thm)],[])).
% 54.04/34.21 tff(13666,plain,
% 54.04/34.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB67, constB68)) | v127(constB67, 1) | (~v129(constB68, 1))),
% 54.04/34.21 inference(modus_ponens,[status(thm)],[13665, 13664])).
% 54.04/34.21 tff(13667,plain,
% 54.04/34.21 (v127(constB67, 1) | (~v129(constB68, 1))),
% 54.04/34.21 inference(unit_resolution,[status(thm)],[13666, 1294, 13571])).
% 54.04/34.21 tff(13668,plain,
% 54.04/34.21 (~v129(constB68, 1)),
% 54.04/34.21 inference(unit_resolution,[status(thm)],[13667, 13663])).
% 54.04/34.21 tff(13669,plain,
% 54.04/34.21 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB68, 1)) | v129(constB68, 1) | (~v100(constB68)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB68, 1)) | v129(constB68, 1) | (~v100(constB68)))),
% 54.04/34.21 inference(rewrite,[status(thm)],[])).
% 54.04/34.21 tff(13670,plain,
% 54.04/34.21 (((~v90(constB68, 1)) | (~v100(constB68)) | v129(constB68, 1)) <=> ((~v90(constB68, 1)) | v129(constB68, 1) | (~v100(constB68)))),
% 54.04/34.21 inference(rewrite,[status(thm)],[])).
% 54.04/34.21 tff(13671,plain,
% 54.04/34.21 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB68, 1)) | (~v100(constB68)) | v129(constB68, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB68, 1)) | v129(constB68, 1) | (~v100(constB68))))),
% 54.04/34.21 inference(monotonicity,[status(thm)],[13670])).
% 54.04/34.21 tff(13672,plain,
% 54.04/34.21 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB68, 1)) | (~v100(constB68)) | v129(constB68, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB68, 1)) | v129(constB68, 1) | (~v100(constB68)))),
% 54.04/34.21 inference(transitivity,[status(thm)],[13671, 13669])).
% 54.04/34.21 tff(13673,plain,
% 54.04/34.21 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB68, 1)) | (~v100(constB68)) | v129(constB68, 1))),
% 54.04/34.21 inference(quant_inst,[status(thm)],[])).
% 54.04/34.21 tff(13674,plain,
% 54.04/34.21 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB68, 1)) | v129(constB68, 1) | (~v100(constB68))),
% 54.04/34.21 inference(modus_ponens,[status(thm)],[13673, 13672])).
% 54.04/34.21 tff(13675,plain,
% 54.04/34.21 ((~v90(constB68, 1)) | (~v100(constB68))),
% 54.04/34.21 inference(unit_resolution,[status(thm)],[13674, 1309, 13668])).
% 54.04/34.21 tff(13676,plain,
% 54.04/34.21 (~v90(constB68, 1)),
% 54.04/34.21 inference(unit_resolution,[status(thm)],[13675, 13602])).
% 54.04/34.21 tff(13677,plain,
% 54.04/34.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB68, 1) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB68, 1) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, 1)))),
% 54.04/34.21 inference(rewrite,[status(thm)],[])).
% 54.04/34.21 tff(13678,plain,
% 54.04/34.21 (((~nextState(constB68, constB69)) | v90(constB68, 1) | v100(constB69) | (~v90(constB69, 1))) <=> (v90(constB68, 1) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, 1)))),
% 54.04/34.21 inference(rewrite,[status(thm)],[])).
% 54.04/34.21 tff(13679,plain,
% 54.04/34.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB68, constB69)) | v90(constB68, 1) | v100(constB69) | (~v90(constB69, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB68, 1) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, 1))))),
% 54.04/34.21 inference(monotonicity,[status(thm)],[13678])).
% 54.04/34.21 tff(13680,plain,
% 54.04/34.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB68, constB69)) | v90(constB68, 1) | v100(constB69) | (~v90(constB69, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB68, 1) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, 1)))),
% 54.04/34.21 inference(transitivity,[status(thm)],[13679, 13677])).
% 54.04/34.21 tff(13681,plain,
% 54.04/34.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB68, constB69)) | v90(constB68, 1) | v100(constB69) | (~v90(constB69, 1)))),
% 54.04/34.21 inference(quant_inst,[status(thm)],[])).
% 54.04/34.21 tff(13682,plain,
% 54.04/34.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB68, 1) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, 1))),
% 54.04/34.21 inference(modus_ponens,[status(thm)],[13681, 13680])).
% 54.04/34.21 tff(13683,plain,
% 54.04/34.21 (v90(constB68, 1) | v100(constB69) | (~v90(constB69, 1))),
% 54.04/34.21 inference(unit_resolution,[status(thm)],[13682, 926, 13630])).
% 54.04/34.21 tff(13684,plain,
% 54.04/34.21 (v90(constB68, 1) | (~v90(constB69, 1))),
% 54.04/34.21 inference(unit_resolution,[status(thm)],[13683, 13642])).
% 54.04/34.21 tff(13685,plain,
% 54.04/34.21 (~v90(constB69, 1)),
% 54.04/34.21 inference(unit_resolution,[status(thm)],[13684, 13676])).
% 54.04/34.21 tff(13686,plain,
% 54.04/34.21 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB67)) | (~v130(constB67, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB67)) | (~v130(constB67, 0)))),
% 54.04/34.21 inference(rewrite,[status(thm)],[])).
% 54.04/34.21 tff(13687,plain,
% 54.04/34.21 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB67)) | (~v130(constB67, 0)))),
% 54.04/34.21 inference(quant_inst,[status(thm)],[])).
% 54.04/34.21 tff(13688,plain,
% 54.04/34.21 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB67)) | (~v130(constB67, 0))),
% 54.04/34.21 inference(modus_ponens,[status(thm)],[13687, 13686])).
% 54.04/34.21 tff(13689,plain,
% 54.04/34.21 (~v130(constB67, 0)),
% 54.04/34.21 inference(unit_resolution,[status(thm)],[13688, 2407, 13527])).
% 54.04/34.21 tff(13690,plain,
% 54.04/34.21 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB67, 0)) | v26(constB67) | v130(constB67, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB67, 0)) | v26(constB67) | v130(constB67, 0))),
% 54.04/34.21 inference(rewrite,[status(thm)],[])).
% 54.04/34.21 tff(13691,plain,
% 54.04/34.21 ((v26(constB67) | v130(constB67, 0) | (~v127(constB67, 0))) <=> ((~v127(constB67, 0)) | v26(constB67) | v130(constB67, 0))),
% 54.04/34.21 inference(rewrite,[status(thm)],[])).
% 54.04/34.21 tff(13692,plain,
% 54.04/34.21 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB67) | v130(constB67, 0) | (~v127(constB67, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB67, 0)) | v26(constB67) | v130(constB67, 0)))),
% 54.04/34.21 inference(monotonicity,[status(thm)],[13691])).
% 54.04/34.21 tff(13693,plain,
% 54.04/34.21 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB67) | v130(constB67, 0) | (~v127(constB67, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB67, 0)) | v26(constB67) | v130(constB67, 0))),
% 54.04/34.21 inference(transitivity,[status(thm)],[13692, 13690])).
% 54.04/34.21 tff(13694,plain,
% 54.04/34.21 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB67) | v130(constB67, 0) | (~v127(constB67, 0)))),
% 54.04/34.21 inference(quant_inst,[status(thm)],[])).
% 54.04/34.21 tff(13695,plain,
% 54.04/34.21 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB67, 0)) | v26(constB67) | v130(constB67, 0)),
% 54.04/34.21 inference(modus_ponens,[status(thm)],[13694, 13693])).
% 54.04/34.21 tff(13696,plain,
% 54.04/34.21 ((~v127(constB67, 0)) | v130(constB67, 0)),
% 54.04/34.21 inference(unit_resolution,[status(thm)],[13695, 1671, 13553])).
% 54.04/34.21 tff(13697,plain,
% 54.04/34.21 (~v127(constB67, 0)),
% 54.04/34.21 inference(unit_resolution,[status(thm)],[13696, 13689])).
% 54.04/34.21 tff(13698,plain,
% 54.04/34.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB67, constB68)) | v127(constB67, 0) | (~v129(constB68, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB67, constB68)) | v127(constB67, 0) | (~v129(constB68, 0)))),
% 54.04/34.21 inference(rewrite,[status(thm)],[])).
% 54.04/34.21 tff(13699,plain,
% 54.04/34.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB67, constB68)) | v127(constB67, 0) | (~v129(constB68, 0)))),
% 54.04/34.21 inference(quant_inst,[status(thm)],[])).
% 54.04/34.21 tff(13700,plain,
% 54.04/34.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB67, constB68)) | v127(constB67, 0) | (~v129(constB68, 0))),
% 54.04/34.21 inference(modus_ponens,[status(thm)],[13699, 13698])).
% 54.04/34.21 tff(13701,plain,
% 54.04/34.21 (v127(constB67, 0) | (~v129(constB68, 0))),
% 54.04/34.21 inference(unit_resolution,[status(thm)],[13700, 1689, 13571])).
% 54.04/34.21 tff(13702,plain,
% 54.04/34.21 (~v129(constB68, 0)),
% 54.04/34.21 inference(unit_resolution,[status(thm)],[13701, 13697])).
% 54.04/34.21 tff(13703,plain,
% 54.04/34.21 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB68, 0)) | v129(constB68, 0) | (~v100(constB68)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB68, 0)) | v129(constB68, 0) | (~v100(constB68)))),
% 54.04/34.21 inference(rewrite,[status(thm)],[])).
% 54.04/34.21 tff(13704,plain,
% 54.04/34.21 (((~v90(constB68, 0)) | (~v100(constB68)) | v129(constB68, 0)) <=> ((~v90(constB68, 0)) | v129(constB68, 0) | (~v100(constB68)))),
% 54.04/34.21 inference(rewrite,[status(thm)],[])).
% 54.04/34.21 tff(13705,plain,
% 54.04/34.21 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB68, 0)) | (~v100(constB68)) | v129(constB68, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB68, 0)) | v129(constB68, 0) | (~v100(constB68))))),
% 54.04/34.21 inference(monotonicity,[status(thm)],[13704])).
% 54.04/34.21 tff(13706,plain,
% 54.04/34.21 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB68, 0)) | (~v100(constB68)) | v129(constB68, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB68, 0)) | v129(constB68, 0) | (~v100(constB68)))),
% 54.04/34.21 inference(transitivity,[status(thm)],[13705, 13703])).
% 54.04/34.21 tff(13707,plain,
% 54.04/34.21 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB68, 0)) | (~v100(constB68)) | v129(constB68, 0))),
% 54.04/34.21 inference(quant_inst,[status(thm)],[])).
% 54.04/34.21 tff(13708,plain,
% 54.04/34.21 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB68, 0)) | v129(constB68, 0) | (~v100(constB68))),
% 54.04/34.21 inference(modus_ponens,[status(thm)],[13707, 13706])).
% 54.04/34.21 tff(13709,plain,
% 54.04/34.21 ((~v90(constB68, 0)) | (~v100(constB68))),
% 54.04/34.21 inference(unit_resolution,[status(thm)],[13708, 1704, 13702])).
% 54.04/34.21 tff(13710,plain,
% 54.04/34.21 (~v90(constB68, 0)),
% 54.04/34.21 inference(unit_resolution,[status(thm)],[13709, 13602])).
% 54.04/34.21 tff(13711,plain,
% 54.04/34.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB68, 0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB68, 0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, 0)))),
% 54.04/34.21 inference(rewrite,[status(thm)],[])).
% 54.04/34.21 tff(13712,plain,
% 54.04/34.21 (((~nextState(constB68, constB69)) | v90(constB68, 0) | v100(constB69) | (~v90(constB69, 0))) <=> (v90(constB68, 0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, 0)))),
% 54.04/34.21 inference(rewrite,[status(thm)],[])).
% 54.04/34.21 tff(13713,plain,
% 54.04/34.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB68, constB69)) | v90(constB68, 0) | v100(constB69) | (~v90(constB69, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB68, 0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, 0))))),
% 54.04/34.21 inference(monotonicity,[status(thm)],[13712])).
% 54.04/34.21 tff(13714,plain,
% 54.04/34.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB68, constB69)) | v90(constB68, 0) | v100(constB69) | (~v90(constB69, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB68, 0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, 0)))),
% 54.04/34.21 inference(transitivity,[status(thm)],[13713, 13711])).
% 54.04/34.21 tff(13715,plain,
% 54.04/34.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB68, constB69)) | v90(constB68, 0) | v100(constB69) | (~v90(constB69, 0)))),
% 54.04/34.21 inference(quant_inst,[status(thm)],[])).
% 54.04/34.21 tff(13716,plain,
% 54.04/34.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB68, 0) | (~nextState(constB68, constB69)) | v100(constB69) | (~v90(constB69, 0))),
% 54.04/34.21 inference(modus_ponens,[status(thm)],[13715, 13714])).
% 54.04/34.21 tff(13717,plain,
% 54.04/34.21 (v90(constB68, 0) | v100(constB69) | (~v90(constB69, 0))),
% 54.04/34.21 inference(unit_resolution,[status(thm)],[13716, 947, 13630])).
% 54.04/34.21 tff(13718,plain,
% 54.04/34.21 (v90(constB68, 0) | (~v90(constB69, 0))),
% 54.04/34.21 inference(unit_resolution,[status(thm)],[13717, 13642])).
% 54.04/34.21 tff(13719,plain,
% 54.04/34.21 (~v90(constB69, 0)),
% 54.04/34.21 inference(unit_resolution,[status(thm)],[13718, 13710])).
% 54.04/34.21 tff(13720,plain,
% 54.04/34.21 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB69, 0) | v90(constB69, 1) | (~v90(constB69, 2)) | v123(constB69))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB69, 0) | v90(constB69, 1) | (~v90(constB69, 2)) | v123(constB69))),
% 54.04/34.21 inference(rewrite,[status(thm)],[])).
% 54.04/34.21 tff(13721,plain,
% 54.04/34.21 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB69, 0) | v90(constB69, 1) | (~v90(constB69, 2)) | v123(constB69))),
% 54.04/34.21 inference(quant_inst,[status(thm)],[])).
% 54.04/34.21 tff(13722,plain,
% 54.04/34.21 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB69, 0) | v90(constB69, 1) | (~v90(constB69, 2)) | v123(constB69)),
% 54.04/34.21 inference(modus_ponens,[status(thm)],[13721, 13720])).
% 54.04/34.21 tff(13723,plain,
% 54.04/34.21 (v123(constB69)),
% 54.04/34.21 inference(unit_resolution,[status(thm)],[13722, 2308, 13719, 13685, 13651])).
% 54.04/34.21 tff(13724,plain,
% 54.04/34.21 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB69)) | v115(constB69))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB69)) | v115(constB69))),
% 54.04/34.21 inference(rewrite,[status(thm)],[])).
% 54.04/34.21 tff(13725,plain,
% 54.04/34.21 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB69)) | v115(constB69))),
% 54.04/34.21 inference(quant_inst,[status(thm)],[])).
% 54.04/34.21 tff(13726,plain,
% 54.04/34.21 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB69)) | v115(constB69)),
% 54.04/34.21 inference(modus_ponens,[status(thm)],[13725, 13724])).
% 54.04/34.21 tff(13727,plain,
% 54.04/34.21 (v115(constB69)),
% 54.04/34.21 inference(unit_resolution,[status(thm)],[13726, 2291, 13723])).
% 54.04/34.21 tff(13728,plain,
% 54.04/34.21 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB69) | (~v115(constB69)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB69) | (~v115(constB69)))),
% 54.04/34.21 inference(rewrite,[status(thm)],[])).
% 54.04/34.21 tff(13729,plain,
% 54.04/34.21 (((~v115(constB69)) | v114(constB69)) <=> (v114(constB69) | (~v115(constB69)))),
% 54.04/34.21 inference(rewrite,[status(thm)],[])).
% 54.04/34.21 tff(13730,plain,
% 54.04/34.21 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB69)) | v114(constB69))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB69) | (~v115(constB69))))),
% 54.04/34.21 inference(monotonicity,[status(thm)],[13729])).
% 54.04/34.21 tff(13731,plain,
% 54.04/34.21 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB69)) | v114(constB69))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB69) | (~v115(constB69)))),
% 54.04/34.21 inference(transitivity,[status(thm)],[13730, 13728])).
% 54.04/34.21 tff(13732,plain,
% 54.04/34.21 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB69)) | v114(constB69))),
% 54.04/34.21 inference(quant_inst,[status(thm)],[])).
% 54.04/34.21 tff(13733,plain,
% 54.04/34.21 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB69) | (~v115(constB69))),
% 54.04/34.21 inference(modus_ponens,[status(thm)],[13732, 13731])).
% 54.04/34.21 tff(13734,plain,
% 54.04/34.21 (v114(constB69)),
% 54.04/34.21 inference(unit_resolution,[status(thm)],[13733, 1035, 13727])).
% 54.04/34.21 tff(13735,plain,
% 54.04/34.21 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB69) | (~v114(constB69)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB69) | (~v114(constB69)))),
% 54.04/34.21 inference(rewrite,[status(thm)],[])).
% 54.04/34.21 tff(13736,plain,
% 54.04/34.21 (((~v114(constB69)) | v113(constB69)) <=> (v113(constB69) | (~v114(constB69)))),
% 54.04/34.21 inference(rewrite,[status(thm)],[])).
% 54.04/34.21 tff(13737,plain,
% 54.04/34.21 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB69)) | v113(constB69))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB69) | (~v114(constB69))))),
% 54.04/34.21 inference(monotonicity,[status(thm)],[13736])).
% 54.04/34.21 tff(13738,plain,
% 54.04/34.21 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB69)) | v113(constB69))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB69) | (~v114(constB69)))),
% 54.04/34.21 inference(transitivity,[status(thm)],[13737, 13735])).
% 54.04/34.21 tff(13739,plain,
% 54.04/34.21 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB69)) | v113(constB69))),
% 54.04/34.21 inference(quant_inst,[status(thm)],[])).
% 54.04/34.21 tff(13740,plain,
% 54.04/34.21 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB69) | (~v114(constB69))),
% 54.04/34.21 inference(modus_ponens,[status(thm)],[13739, 13738])).
% 54.04/34.21 tff(13741,plain,
% 54.04/34.21 (v113(constB69)),
% 54.04/34.21 inference(unit_resolution,[status(thm)],[13740, 1049, 13734])).
% 54.04/34.21 tff(13742,assumption,(v26(constB69)), introduced(assumption)).
% 54.04/34.21 tff(13743,plain,
% 54.04/34.21 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB69))),
% 54.04/34.21 inference(quant_inst,[status(thm)],[])).
% 54.04/34.21 tff(13744,plain,
% 54.04/34.21 ($false),
% 54.04/34.21 inference(unit_resolution,[status(thm)],[13743, 828, 13742])).
% 54.04/34.21 tff(13745,plain,(~v26(constB69)), inference(lemma,lemma(discharge,[]))).
% 54.04/34.21 tff(13746,plain,
% 54.04/34.21 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB69) | v112(constB69) | (~v113(constB69)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB69) | v112(constB69) | (~v113(constB69)))),
% 54.04/34.21 inference(rewrite,[status(thm)],[])).
% 54.04/34.21 tff(13747,plain,
% 54.04/34.21 ((v26(constB69) | (~v113(constB69)) | v112(constB69)) <=> (v26(constB69) | v112(constB69) | (~v113(constB69)))),
% 54.04/34.21 inference(rewrite,[status(thm)],[])).
% 54.04/34.21 tff(13748,plain,
% 54.04/34.21 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB69) | (~v113(constB69)) | v112(constB69))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB69) | v112(constB69) | (~v113(constB69))))),
% 54.04/34.21 inference(monotonicity,[status(thm)],[13747])).
% 54.04/34.21 tff(13749,plain,
% 54.04/34.21 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB69) | (~v113(constB69)) | v112(constB69))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB69) | v112(constB69) | (~v113(constB69)))),
% 54.04/34.21 inference(transitivity,[status(thm)],[13748, 13746])).
% 54.04/34.21 tff(13750,plain,
% 54.04/34.21 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB69) | (~v113(constB69)) | v112(constB69))),
% 54.04/34.21 inference(quant_inst,[status(thm)],[])).
% 54.04/34.21 tff(13751,plain,
% 54.04/34.21 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB69) | v112(constB69) | (~v113(constB69))),
% 54.04/34.21 inference(modus_ponens,[status(thm)],[13750, 13749])).
% 54.04/34.21 tff(13752,plain,
% 54.04/34.21 (v112(constB69) | (~v113(constB69))),
% 54.04/34.21 inference(unit_resolution,[status(thm)],[13751, 1063, 13745])).
% 54.04/34.21 tff(13753,plain,
% 54.04/34.21 (v112(constB69)),
% 54.04/34.21 inference(unit_resolution,[status(thm)],[13752, 13741])).
% 54.04/34.21 tff(13754,plain,
% 54.04/34.21 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB69) | (~v112(constB69)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB69) | (~v112(constB69)))),
% 54.04/34.21 inference(rewrite,[status(thm)],[])).
% 54.04/34.21 tff(13755,plain,
% 54.04/34.21 (((~v112(constB69)) | v108(constB69)) <=> (v108(constB69) | (~v112(constB69)))),
% 54.04/34.21 inference(rewrite,[status(thm)],[])).
% 54.04/34.21 tff(13756,plain,
% 54.04/34.21 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB69)) | v108(constB69))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB69) | (~v112(constB69))))),
% 54.04/34.21 inference(monotonicity,[status(thm)],[13755])).
% 54.04/34.21 tff(13757,plain,
% 54.04/34.21 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB69)) | v108(constB69))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB69) | (~v112(constB69)))),
% 54.04/34.21 inference(transitivity,[status(thm)],[13756, 13754])).
% 54.04/34.21 tff(13758,plain,
% 54.04/34.21 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB69)) | v108(constB69))),
% 54.04/34.21 inference(quant_inst,[status(thm)],[])).
% 54.04/34.21 tff(13759,plain,
% 54.04/34.21 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB69) | (~v112(constB69))),
% 54.04/34.21 inference(modus_ponens,[status(thm)],[13758, 13757])).
% 54.04/34.21 tff(13760,plain,
% 54.04/34.21 (v108(constB69)),
% 54.04/34.21 inference(unit_resolution,[status(thm)],[13759, 1075, 13753])).
% 54.04/34.21 tff(13761,plain,
% 54.04/34.21 (nextState(constB69, constB70) <=> nextState(constB69, constB70)),
% 54.04/34.21 inference(rewrite,[status(thm)],[])).
% 54.04/34.21 tff(13762,axiom,(nextState(constB69, constB70)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_69_1')).
% 54.04/34.21 tff(13763,plain,
% 54.04/34.21 (nextState(constB69, constB70)),
% 54.04/34.21 inference(modus_ponens,[status(thm)],[13762, 13761])).
% 54.04/34.21 tff(13764,plain,
% 54.04/34.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69)))),
% 54.04/34.21 inference(rewrite,[status(thm)],[])).
% 54.04/34.21 tff(13765,plain,
% 54.04/34.21 (((~nextState(constB69, constB70)) | (~v108(constB69)) | v110(constB70)) <=> ((~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69)))),
% 54.04/34.21 inference(rewrite,[status(thm)],[])).
% 54.04/34.21 tff(13766,plain,
% 54.04/34.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB69, constB70)) | (~v108(constB69)) | v110(constB70))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69))))),
% 54.04/34.21 inference(monotonicity,[status(thm)],[13765])).
% 54.04/34.21 tff(13767,plain,
% 54.04/34.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB69, constB70)) | (~v108(constB69)) | v110(constB70))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69)))),
% 54.04/34.21 inference(transitivity,[status(thm)],[13766, 13764])).
% 54.04/34.21 tff(13768,plain,
% 54.04/34.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB69, constB70)) | (~v108(constB69)) | v110(constB70))),
% 54.04/34.21 inference(quant_inst,[status(thm)],[])).
% 54.04/34.21 tff(13769,plain,
% 54.04/34.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB69, constB70)) | v110(constB70) | (~v108(constB69))),
% 54.04/34.21 inference(modus_ponens,[status(thm)],[13768, 13767])).
% 54.04/34.21 tff(13770,plain,
% 54.04/34.21 (v110(constB70) | (~v108(constB69))),
% 54.04/34.21 inference(unit_resolution,[status(thm)],[13769, 1095, 13763])).
% 54.04/34.21 tff(13771,plain,
% 54.04/34.21 (v110(constB70)),
% 54.04/34.21 inference(unit_resolution,[status(thm)],[13770, 13760])).
% 54.04/34.21 tff(13772,plain,
% 54.04/34.21 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB69) | (~nextState(constB69, constB70)) | (~v104(constB70)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB69) | (~nextState(constB69, constB70)) | (~v104(constB70)))),
% 54.04/34.21 inference(rewrite,[status(thm)],[])).
% 54.04/34.21 tff(13773,plain,
% 54.04/34.21 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB69) | (~nextState(constB69, constB70)) | (~v104(constB70)))),
% 54.04/34.21 inference(quant_inst,[status(thm)],[])).
% 54.04/34.21 tff(13774,plain,
% 54.04/34.21 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB69) | (~nextState(constB69, constB70)) | (~v104(constB70))),
% 54.04/34.21 inference(modus_ponens,[status(thm)],[13773, 13772])).
% 54.04/34.21 tff(13775,plain,
% 54.04/34.21 (~v104(constB70)),
% 54.04/34.21 inference(unit_resolution,[status(thm)],[13774, 1113, 13763, 13627])).
% 54.04/34.21 tff(13776,plain,
% 54.04/34.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB69, constB70)) | v102(constB70) | v104(constB70))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB69, constB70)) | v102(constB70) | v104(constB70))),
% 54.04/34.21 inference(rewrite,[status(thm)],[])).
% 54.04/34.21 tff(13777,plain,
% 54.04/34.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB69, constB70)) | v102(constB70) | v104(constB70))),
% 54.04/34.21 inference(quant_inst,[status(thm)],[])).
% 54.04/34.21 tff(13778,plain,
% 54.04/34.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB69, constB70)) | v102(constB70) | v104(constB70)),
% 54.04/34.21 inference(modus_ponens,[status(thm)],[13777, 13776])).
% 54.04/34.21 tff(13779,plain,
% 54.04/34.21 (v102(constB70) | v104(constB70)),
% 54.04/34.21 inference(unit_resolution,[status(thm)],[13778, 1127, 13763])).
% 54.04/34.21 tff(13780,plain,
% 54.04/34.21 (v102(constB70)),
% 54.04/34.21 inference(unit_resolution,[status(thm)],[13779, 13775])).
% 54.04/34.21 tff(13781,plain,
% 54.04/34.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB69, constB70)) | v101(constB70) | (~v102(constB70)) | (~v1(constB70)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB69, constB70)) | v101(constB70) | (~v102(constB70)) | (~v1(constB70)))),
% 54.04/34.21 inference(rewrite,[status(thm)],[])).
% 54.04/34.21 tff(13782,plain,
% 54.04/34.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB69, constB70)) | v101(constB70) | (~v102(constB70)) | (~v1(constB70)))),
% 54.04/34.21 inference(quant_inst,[status(thm)],[])).
% 54.04/34.21 tff(13783,plain,
% 54.04/34.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB69, constB70)) | v101(constB70) | (~v102(constB70)) | (~v1(constB70))),
% 54.04/34.21 inference(modus_ponens,[status(thm)],[13782, 13781])).
% 54.04/34.21 tff(13784,plain,
% 54.04/34.21 (v101(constB70) | (~v102(constB70))),
% 54.04/34.21 inference(unit_resolution,[status(thm)],[13783, 1145, 13763, 354])).
% 54.04/34.21 tff(13785,plain,
% 54.04/34.21 (v101(constB70)),
% 54.04/34.21 inference(unit_resolution,[status(thm)],[13784, 13780])).
% 54.04/34.21 tff(13786,plain,
% 54.04/34.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70)))),
% 54.04/34.21 inference(rewrite,[status(thm)],[])).
% 54.04/34.21 tff(13787,plain,
% 54.04/34.21 (((~nextState(constB69, constB70)) | (~v101(constB70)) | (~v110(constB70)) | v100(constB70)) <=> ((~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70)))),
% 54.04/34.21 inference(rewrite,[status(thm)],[])).
% 54.04/34.21 tff(13788,plain,
% 54.04/34.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB69, constB70)) | (~v101(constB70)) | (~v110(constB70)) | v100(constB70))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70))))),
% 54.04/34.21 inference(monotonicity,[status(thm)],[13787])).
% 54.04/34.21 tff(13789,plain,
% 54.04/34.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB69, constB70)) | (~v101(constB70)) | (~v110(constB70)) | v100(constB70))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70)))),
% 54.04/34.21 inference(transitivity,[status(thm)],[13788, 13786])).
% 54.04/34.21 tff(13790,plain,
% 54.04/34.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB69, constB70)) | (~v101(constB70)) | (~v110(constB70)) | v100(constB70))),
% 54.04/34.21 inference(quant_inst,[status(thm)],[])).
% 54.04/34.21 tff(13791,plain,
% 54.04/34.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB69, constB70)) | v100(constB70) | (~v101(constB70)) | (~v110(constB70))),
% 54.04/34.21 inference(modus_ponens,[status(thm)],[13790, 13789])).
% 54.04/34.21 tff(13792,plain,
% 54.04/34.21 (v100(constB70) | (~v101(constB70)) | (~v110(constB70))),
% 54.04/34.21 inference(unit_resolution,[status(thm)],[13791, 1160, 13763])).
% 54.04/34.21 tff(13793,plain,
% 54.04/34.21 (v100(constB70) | (~v110(constB70))),
% 54.04/34.21 inference(unit_resolution,[status(thm)],[13792, 13785])).
% 54.04/34.21 tff(13794,plain,
% 54.04/34.21 (v100(constB70)),
% 54.04/34.21 inference(unit_resolution,[status(thm)],[13793, 13771])).
% 54.04/34.21 tff(13795,plain,
% 54.04/34.21 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB69)) | v130(constB69, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB69)) | v130(constB69, 2))),
% 54.04/34.21 inference(rewrite,[status(thm)],[])).
% 54.04/34.21 tff(13796,plain,
% 54.04/34.21 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB69)) | v130(constB69, 2))),
% 54.04/34.21 inference(quant_inst,[status(thm)],[])).
% 54.04/34.21 tff(13797,plain,
% 54.04/34.21 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB69)) | v130(constB69, 2)),
% 54.04/34.21 inference(modus_ponens,[status(thm)],[13796, 13795])).
% 54.04/34.21 tff(13798,plain,
% 54.04/34.21 (v130(constB69, 2)),
% 54.04/34.21 inference(unit_resolution,[status(thm)],[13797, 2525, 13723])).
% 54.04/34.21 tff(13799,plain,
% 54.04/34.21 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB69) | (~v130(constB69, 2)) | v127(constB69, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB69) | (~v130(constB69, 2)) | v127(constB69, 2))),
% 54.04/34.21 inference(rewrite,[status(thm)],[])).
% 54.04/34.21 tff(13800,plain,
% 54.04/34.21 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB69) | (~v130(constB69, 2)) | v127(constB69, 2))),
% 54.04/34.21 inference(quant_inst,[status(thm)],[])).
% 54.04/34.21 tff(13801,plain,
% 54.04/34.21 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB69) | (~v130(constB69, 2)) | v127(constB69, 2)),
% 54.04/34.21 inference(modus_ponens,[status(thm)],[13800, 13799])).
% 54.04/34.21 tff(13802,plain,
% 54.04/34.21 ((~v130(constB69, 2)) | v127(constB69, 2)),
% 54.04/34.21 inference(unit_resolution,[status(thm)],[13801, 1981, 13745])).
% 54.04/34.21 tff(13803,plain,
% 54.04/34.21 (v127(constB69, 2)),
% 54.04/34.21 inference(unit_resolution,[status(thm)],[13802, 13798])).
% 54.04/34.21 tff(13804,plain,
% 54.04/34.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB69, constB70)) | (~v127(constB69, 2)) | v129(constB70, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB69, constB70)) | (~v127(constB69, 2)) | v129(constB70, 2))),
% 54.04/34.21 inference(rewrite,[status(thm)],[])).
% 54.04/34.21 tff(13805,plain,
% 54.04/34.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB69, constB70)) | (~v127(constB69, 2)) | v129(constB70, 2))),
% 54.04/34.21 inference(quant_inst,[status(thm)],[])).
% 54.04/34.21 tff(13806,plain,
% 54.04/34.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB69, constB70)) | (~v127(constB69, 2)) | v129(constB70, 2)),
% 54.04/34.21 inference(modus_ponens,[status(thm)],[13805, 13804])).
% 54.04/34.21 tff(13807,plain,
% 54.04/34.21 ((~v127(constB69, 2)) | v129(constB70, 2)),
% 54.04/34.21 inference(unit_resolution,[status(thm)],[13806, 1999, 13763])).
% 54.04/34.21 tff(13808,plain,
% 54.04/34.21 (v129(constB70, 2)),
% 54.04/34.21 inference(unit_resolution,[status(thm)],[13807, 13803])).
% 54.04/34.21 tff(13809,plain,
% 54.04/34.21 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB70, 2) | (~v129(constB70, 2)) | (~v100(constB70)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB70, 2) | (~v129(constB70, 2)) | (~v100(constB70)))),
% 54.04/34.21 inference(rewrite,[status(thm)],[])).
% 54.04/34.21 tff(13810,plain,
% 54.04/34.21 ((v90(constB70, 2) | (~v100(constB70)) | (~v129(constB70, 2))) <=> (v90(constB70, 2) | (~v129(constB70, 2)) | (~v100(constB70)))),
% 54.04/34.21 inference(rewrite,[status(thm)],[])).
% 54.04/34.21 tff(13811,plain,
% 54.04/34.21 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB70, 2) | (~v100(constB70)) | (~v129(constB70, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB70, 2) | (~v129(constB70, 2)) | (~v100(constB70))))),
% 54.04/34.21 inference(monotonicity,[status(thm)],[13810])).
% 54.04/34.21 tff(13812,plain,
% 54.04/34.21 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB70, 2) | (~v100(constB70)) | (~v129(constB70, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB70, 2) | (~v129(constB70, 2)) | (~v100(constB70)))),
% 54.04/34.21 inference(transitivity,[status(thm)],[13811, 13809])).
% 54.04/34.21 tff(13813,plain,
% 54.04/34.21 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB70, 2) | (~v100(constB70)) | (~v129(constB70, 2)))),
% 54.04/34.21 inference(quant_inst,[status(thm)],[])).
% 54.04/34.21 tff(13814,plain,
% 54.04/34.21 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB70, 2) | (~v129(constB70, 2)) | (~v100(constB70))),
% 54.04/34.21 inference(modus_ponens,[status(thm)],[13813, 13812])).
% 54.04/34.21 tff(13815,plain,
% 54.04/34.21 (v90(constB70, 2) | (~v100(constB70))),
% 54.04/34.21 inference(unit_resolution,[status(thm)],[13814, 2324, 13808])).
% 54.04/34.21 tff(13816,plain,
% 54.04/34.21 (v90(constB70, 2)),
% 54.04/34.21 inference(unit_resolution,[status(thm)],[13815, 13794])).
% 54.04/34.21 tff(13817,plain,
% 54.04/34.21 ((~v1(constB71)) <=> (~v1(constB71))),
% 54.04/34.21 inference(rewrite,[status(thm)],[])).
% 54.04/34.21 tff(13818,axiom,(~v1(constB71)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_71_1_1')).
% 54.04/34.21 tff(13819,plain,
% 54.04/34.21 (~v1(constB71)),
% 54.04/34.21 inference(modus_ponens,[status(thm)],[13818, 13817])).
% 54.04/34.21 tff(13820,plain,
% 54.04/34.21 (nextState(constB70, constB71) <=> nextState(constB70, constB71)),
% 54.04/34.21 inference(rewrite,[status(thm)],[])).
% 54.04/34.21 tff(13821,axiom,(nextState(constB70, constB71)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_70_1')).
% 54.04/34.21 tff(13822,plain,
% 54.04/34.21 (nextState(constB70, constB71)),
% 54.04/34.21 inference(modus_ponens,[status(thm)],[13821, 13820])).
% 54.04/34.21 tff(13823,plain,
% 54.04/34.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71)))),
% 54.04/34.22 inference(rewrite,[status(thm)],[])).
% 54.04/34.22 tff(13824,plain,
% 54.04/34.22 (((~nextState(constB70, constB71)) | (~v101(constB71)) | v1(constB71)) <=> (v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71)))),
% 54.04/34.22 inference(rewrite,[status(thm)],[])).
% 54.04/34.22 tff(13825,plain,
% 54.04/34.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB70, constB71)) | (~v101(constB71)) | v1(constB71))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71))))),
% 54.04/34.22 inference(monotonicity,[status(thm)],[13824])).
% 54.04/34.22 tff(13826,plain,
% 54.04/34.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB70, constB71)) | (~v101(constB71)) | v1(constB71))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71)))),
% 54.04/34.22 inference(transitivity,[status(thm)],[13825, 13823])).
% 54.04/34.22 tff(13827,plain,
% 54.04/34.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB70, constB71)) | (~v101(constB71)) | v1(constB71))),
% 54.04/34.22 inference(quant_inst,[status(thm)],[])).
% 54.04/34.22 tff(13828,plain,
% 54.04/34.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB71) | (~nextState(constB70, constB71)) | (~v101(constB71))),
% 54.04/34.22 inference(modus_ponens,[status(thm)],[13827, 13826])).
% 54.04/34.22 tff(13829,plain,
% 54.04/34.22 (~v101(constB71)),
% 54.04/34.22 inference(unit_resolution,[status(thm)],[13828, 873, 13822, 13819])).
% 54.04/34.22 tff(13830,plain,
% 54.04/34.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB70, constB71)) | v101(constB71) | (~v100(constB71)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB70, constB71)) | v101(constB71) | (~v100(constB71)))),
% 54.04/34.22 inference(rewrite,[status(thm)],[])).
% 54.04/34.22 tff(13831,plain,
% 54.04/34.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB70, constB71)) | v101(constB71) | (~v100(constB71)))),
% 54.04/34.22 inference(quant_inst,[status(thm)],[])).
% 54.04/34.22 tff(13832,plain,
% 54.04/34.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB70, constB71)) | v101(constB71) | (~v100(constB71))),
% 54.04/34.22 inference(modus_ponens,[status(thm)],[13831, 13830])).
% 54.04/34.22 tff(13833,plain,
% 54.04/34.22 (v101(constB71) | (~v100(constB71))),
% 54.04/34.22 inference(unit_resolution,[status(thm)],[13832, 890, 13822])).
% 54.04/34.22 tff(13834,plain,
% 54.04/34.22 (~v100(constB71)),
% 54.04/34.22 inference(unit_resolution,[status(thm)],[13833, 13829])).
% 54.04/34.22 tff(13835,plain,
% 54.04/34.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB70, 2)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB70, 2)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, 2))),
% 54.04/34.22 inference(rewrite,[status(thm)],[])).
% 54.04/34.22 tff(13836,plain,
% 54.04/34.22 (((~nextState(constB70, constB71)) | (~v90(constB70, 2)) | v100(constB71) | v90(constB71, 2)) <=> ((~v90(constB70, 2)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, 2))),
% 54.04/34.22 inference(rewrite,[status(thm)],[])).
% 54.04/34.22 tff(13837,plain,
% 54.04/34.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB70, constB71)) | (~v90(constB70, 2)) | v100(constB71) | v90(constB71, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB70, 2)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, 2)))),
% 54.04/34.22 inference(monotonicity,[status(thm)],[13836])).
% 54.04/34.22 tff(13838,plain,
% 54.04/34.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB70, constB71)) | (~v90(constB70, 2)) | v100(constB71) | v90(constB71, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB70, 2)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, 2))),
% 54.04/34.22 inference(transitivity,[status(thm)],[13837, 13835])).
% 54.04/34.22 tff(13839,plain,
% 54.04/34.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB70, constB71)) | (~v90(constB70, 2)) | v100(constB71) | v90(constB71, 2))),
% 54.04/34.22 inference(quant_inst,[status(thm)],[])).
% 54.04/34.22 tff(13840,plain,
% 54.04/34.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB70, 2)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, 2)),
% 54.04/34.22 inference(modus_ponens,[status(thm)],[13839, 13838])).
% 54.04/34.22 tff(13841,plain,
% 54.04/34.22 ((~v90(constB70, 2)) | v100(constB71) | v90(constB71, 2)),
% 54.04/34.22 inference(unit_resolution,[status(thm)],[13840, 2174, 13822])).
% 54.04/34.22 tff(13842,plain,
% 54.04/34.22 ((~v90(constB70, 2)) | v90(constB71, 2)),
% 54.04/34.22 inference(unit_resolution,[status(thm)],[13841, 13834])).
% 54.04/34.22 tff(13843,plain,
% 54.04/34.22 (v90(constB71, 2)),
% 54.04/34.22 inference(unit_resolution,[status(thm)],[13842, 13816])).
% 54.04/34.22 tff(13844,plain,
% 54.04/34.22 (^[VarCurr: state_type] : refl(((~v90(VarCurr, 2)) | v88(VarCurr, 2)) <=> ((~v90(VarCurr, 2)) | v88(VarCurr, 2)))),
% 54.04/34.22 inference(bind,[status(th)],[])).
% 54.04/34.22 tff(13845,plain,
% 54.04/34.22 (![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))),
% 54.04/34.22 inference(quant_intro,[status(thm)],[13844])).
% 54.04/34.22 tff(13846,plain,
% 54.04/34.22 (![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))),
% 54.04/34.22 inference(rewrite,[status(thm)],[])).
% 54.04/34.22 tff(13847,axiom,(![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_8_1_5')).
% 54.04/34.22 tff(13848,plain,
% 54.04/34.22 (![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))),
% 54.04/34.22 inference(modus_ponens,[status(thm)],[13847, 13846])).
% 54.04/34.22 tff(13849,plain,(
% 54.04/34.22 ![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))),
% 54.04/34.22 inference(skolemize,[status(sab)],[13848])).
% 54.04/34.22 tff(13850,plain,
% 54.04/34.22 (![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))),
% 54.04/34.22 inference(modus_ponens,[status(thm)],[13849, 13845])).
% 54.04/34.22 tff(13851,plain,
% 54.04/34.22 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB71, 2)) | v88(constB71, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB71, 2)) | v88(constB71, 2))),
% 54.04/34.22 inference(rewrite,[status(thm)],[])).
% 54.04/34.22 tff(13852,plain,
% 54.04/34.22 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB71, 2)) | v88(constB71, 2))),
% 54.04/34.22 inference(quant_inst,[status(thm)],[])).
% 54.04/34.22 tff(13853,plain,
% 54.04/34.22 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB71, 2)) | v88(constB71, 2)),
% 54.04/34.22 inference(modus_ponens,[status(thm)],[13852, 13851])).
% 54.04/34.22 tff(13854,plain,
% 54.04/34.22 (v88(constB71, 2)),
% 54.04/34.22 inference(unit_resolution,[status(thm)],[13853, 13850, 13843])).
% 54.04/34.22 tff(13855,plain,
% 54.04/34.22 (^[VarCurr: state_type] : refl(((~v140(VarCurr)) | (~v88(VarCurr, 2))) <=> ((~v140(VarCurr)) | (~v88(VarCurr, 2))))),
% 54.04/34.22 inference(bind,[status(th)],[])).
% 54.04/34.22 tff(13856,plain,
% 54.04/34.22 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))),
% 54.04/34.22 inference(quant_intro,[status(thm)],[13855])).
% 54.04/34.22 tff(13857,plain,
% 54.04/34.22 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))),
% 54.04/34.22 inference(rewrite,[status(thm)],[])).
% 54.04/34.22 tff(13858,axiom,(![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10_1_1_3')).
% 54.04/34.22 tff(13859,plain,
% 54.04/34.22 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))),
% 54.04/34.22 inference(modus_ponens,[status(thm)],[13858, 13857])).
% 54.04/34.22 tff(13860,plain,(
% 54.04/34.22 ![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))),
% 54.04/34.22 inference(skolemize,[status(sab)],[13859])).
% 54.04/34.22 tff(13861,plain,
% 54.04/34.22 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))),
% 54.04/34.22 inference(modus_ponens,[status(thm)],[13860, 13856])).
% 54.04/34.22 tff(13862,plain,
% 54.04/34.22 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB71)) | (~v88(constB71, 2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB71)) | (~v88(constB71, 2)))),
% 54.04/34.22 inference(rewrite,[status(thm)],[])).
% 54.04/34.22 tff(13863,plain,
% 54.04/34.22 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB71)) | (~v88(constB71, 2)))),
% 54.04/34.22 inference(quant_inst,[status(thm)],[])).
% 54.04/34.22 tff(13864,plain,
% 54.04/34.22 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB71)) | (~v88(constB71, 2))),
% 54.04/34.22 inference(modus_ponens,[status(thm)],[13863, 13862])).
% 54.04/34.22 tff(13865,plain,
% 54.04/34.22 (~v140(constB71)),
% 54.04/34.22 inference(unit_resolution,[status(thm)],[13864, 13861, 13854])).
% 54.04/34.22 tff(13866,plain,
% 54.04/34.22 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB69)) | v130(constB69, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB69)) | v130(constB69, 0))),
% 54.04/34.22 inference(rewrite,[status(thm)],[])).
% 54.04/34.22 tff(13867,plain,
% 54.04/34.22 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB69)) | v130(constB69, 0))),
% 54.04/34.22 inference(quant_inst,[status(thm)],[])).
% 54.04/34.22 tff(13868,plain,
% 54.04/34.22 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB69)) | v130(constB69, 0)),
% 54.04/34.22 inference(modus_ponens,[status(thm)],[13867, 13866])).
% 54.04/34.22 tff(13869,plain,
% 54.04/34.22 (v130(constB69, 0)),
% 54.04/34.22 inference(unit_resolution,[status(thm)],[13868, 2622, 13723])).
% 54.04/34.22 tff(13870,plain,
% 54.04/34.22 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB69) | (~v130(constB69, 0)) | v127(constB69, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB69) | (~v130(constB69, 0)) | v127(constB69, 0))),
% 54.04/34.22 inference(rewrite,[status(thm)],[])).
% 54.04/34.22 tff(13871,plain,
% 54.04/34.22 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB69) | (~v130(constB69, 0)) | v127(constB69, 0))),
% 54.04/34.22 inference(quant_inst,[status(thm)],[])).
% 54.04/34.22 tff(13872,plain,
% 54.04/34.22 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB69) | (~v130(constB69, 0)) | v127(constB69, 0)),
% 54.04/34.22 inference(modus_ponens,[status(thm)],[13871, 13870])).
% 54.04/34.22 tff(13873,plain,
% 54.04/34.22 ((~v130(constB69, 0)) | v127(constB69, 0)),
% 54.04/34.22 inference(unit_resolution,[status(thm)],[13872, 1347, 13745])).
% 54.04/34.22 tff(13874,plain,
% 54.04/34.22 (v127(constB69, 0)),
% 54.04/34.22 inference(unit_resolution,[status(thm)],[13873, 13869])).
% 54.04/34.22 tff(13875,plain,
% 54.04/34.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB69, constB70)) | (~v127(constB69, 0)) | v129(constB70, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB69, constB70)) | (~v127(constB69, 0)) | v129(constB70, 0))),
% 54.04/34.22 inference(rewrite,[status(thm)],[])).
% 54.04/34.22 tff(13876,plain,
% 54.04/34.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB69, constB70)) | (~v127(constB69, 0)) | v129(constB70, 0))),
% 54.04/34.22 inference(quant_inst,[status(thm)],[])).
% 54.04/34.22 tff(13877,plain,
% 54.04/34.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB69, constB70)) | (~v127(constB69, 0)) | v129(constB70, 0)),
% 54.04/34.22 inference(modus_ponens,[status(thm)],[13876, 13875])).
% 54.04/34.22 tff(13878,plain,
% 54.04/34.22 ((~v127(constB69, 0)) | v129(constB70, 0)),
% 54.04/34.22 inference(unit_resolution,[status(thm)],[13877, 1362, 13763])).
% 54.04/34.22 tff(13879,plain,
% 54.04/34.22 (v129(constB70, 0)),
% 54.04/34.22 inference(unit_resolution,[status(thm)],[13878, 13874])).
% 54.04/34.22 tff(13880,plain,
% 54.04/34.22 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB70, 0) | (~v129(constB70, 0)) | (~v100(constB70)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB70, 0) | (~v129(constB70, 0)) | (~v100(constB70)))),
% 54.04/34.22 inference(rewrite,[status(thm)],[])).
% 54.04/34.22 tff(13881,plain,
% 54.04/34.22 ((v90(constB70, 0) | (~v100(constB70)) | (~v129(constB70, 0))) <=> (v90(constB70, 0) | (~v129(constB70, 0)) | (~v100(constB70)))),
% 54.04/34.22 inference(rewrite,[status(thm)],[])).
% 54.04/34.22 tff(13882,plain,
% 54.04/34.22 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB70, 0) | (~v100(constB70)) | (~v129(constB70, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB70, 0) | (~v129(constB70, 0)) | (~v100(constB70))))),
% 54.04/34.22 inference(monotonicity,[status(thm)],[13881])).
% 54.04/34.22 tff(13883,plain,
% 54.04/34.22 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB70, 0) | (~v100(constB70)) | (~v129(constB70, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB70, 0) | (~v129(constB70, 0)) | (~v100(constB70)))),
% 54.04/34.22 inference(transitivity,[status(thm)],[13882, 13880])).
% 54.04/34.22 tff(13884,plain,
% 54.04/34.22 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB70, 0) | (~v100(constB70)) | (~v129(constB70, 0)))),
% 54.04/34.22 inference(quant_inst,[status(thm)],[])).
% 54.04/34.22 tff(13885,plain,
% 54.04/34.22 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB70, 0) | (~v129(constB70, 0)) | (~v100(constB70))),
% 54.04/34.22 inference(modus_ponens,[status(thm)],[13884, 13883])).
% 54.04/34.22 tff(13886,plain,
% 54.04/34.22 (v90(constB70, 0) | (~v100(constB70))),
% 54.04/34.22 inference(unit_resolution,[status(thm)],[13885, 1377, 13879])).
% 54.04/34.22 tff(13887,plain,
% 54.04/34.22 (v90(constB70, 0)),
% 54.04/34.22 inference(unit_resolution,[status(thm)],[13886, 13794])).
% 54.04/34.22 tff(13888,plain,
% 54.04/34.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB70, 0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB70, 0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, 0))),
% 54.04/34.22 inference(rewrite,[status(thm)],[])).
% 54.04/34.22 tff(13889,plain,
% 54.04/34.22 (((~nextState(constB70, constB71)) | (~v90(constB70, 0)) | v100(constB71) | v90(constB71, 0)) <=> ((~v90(constB70, 0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, 0))),
% 54.04/34.22 inference(rewrite,[status(thm)],[])).
% 54.04/34.22 tff(13890,plain,
% 54.04/34.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB70, constB71)) | (~v90(constB70, 0)) | v100(constB71) | v90(constB71, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB70, 0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, 0)))),
% 54.04/34.22 inference(monotonicity,[status(thm)],[13889])).
% 54.04/34.22 tff(13891,plain,
% 54.04/34.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB70, constB71)) | (~v90(constB70, 0)) | v100(constB71) | v90(constB71, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB70, 0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, 0))),
% 54.04/34.22 inference(transitivity,[status(thm)],[13890, 13888])).
% 54.04/34.22 tff(13892,plain,
% 54.04/34.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB70, constB71)) | (~v90(constB70, 0)) | v100(constB71) | v90(constB71, 0))),
% 54.04/34.22 inference(quant_inst,[status(thm)],[])).
% 54.04/34.22 tff(13893,plain,
% 54.04/34.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB70, 0)) | (~nextState(constB70, constB71)) | v100(constB71) | v90(constB71, 0)),
% 54.04/34.22 inference(modus_ponens,[status(thm)],[13892, 13891])).
% 54.04/34.22 tff(13894,plain,
% 54.04/34.22 ((~v90(constB70, 0)) | v100(constB71) | v90(constB71, 0)),
% 54.04/34.22 inference(unit_resolution,[status(thm)],[13893, 1395, 13822])).
% 54.04/34.22 tff(13895,plain,
% 54.04/34.22 ((~v90(constB70, 0)) | v90(constB71, 0)),
% 54.04/34.22 inference(unit_resolution,[status(thm)],[13894, 13834])).
% 54.04/34.22 tff(13896,plain,
% 54.04/34.22 (v90(constB71, 0)),
% 54.04/34.22 inference(unit_resolution,[status(thm)],[13895, 13887])).
% 54.04/34.22 tff(13897,plain,
% 54.04/34.22 (^[VarCurr: state_type] : refl(((~v90(VarCurr, 0)) | v88(VarCurr, 0)) <=> ((~v90(VarCurr, 0)) | v88(VarCurr, 0)))),
% 54.04/34.22 inference(bind,[status(th)],[])).
% 54.04/34.22 tff(13898,plain,
% 54.04/34.22 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))),
% 54.04/34.22 inference(quant_intro,[status(thm)],[13897])).
% 54.04/34.22 tff(13899,plain,
% 54.04/34.22 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))),
% 54.04/34.22 inference(rewrite,[status(thm)],[])).
% 54.04/34.22 tff(13900,axiom,(![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_8_1_1')).
% 54.04/34.22 tff(13901,plain,
% 54.04/34.22 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))),
% 54.04/34.22 inference(modus_ponens,[status(thm)],[13900, 13899])).
% 54.04/34.22 tff(13902,plain,(
% 54.04/34.22 ![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))),
% 54.04/34.22 inference(skolemize,[status(sab)],[13901])).
% 54.04/34.22 tff(13903,plain,
% 54.04/34.22 (![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))),
% 54.04/34.22 inference(modus_ponens,[status(thm)],[13902, 13898])).
% 54.04/34.22 tff(13904,plain,
% 54.04/34.22 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB71, 0)) | v88(constB71, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB71, 0)) | v88(constB71, 0))),
% 54.04/34.22 inference(rewrite,[status(thm)],[])).
% 54.04/34.22 tff(13905,plain,
% 54.04/34.22 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB71, 0)) | v88(constB71, 0))),
% 54.04/34.22 inference(quant_inst,[status(thm)],[])).
% 54.04/34.22 tff(13906,plain,
% 54.04/34.22 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB71, 0)) | v88(constB71, 0)),
% 54.04/34.22 inference(modus_ponens,[status(thm)],[13905, 13904])).
% 54.04/34.22 tff(13907,plain,
% 54.04/34.22 (v88(constB71, 0)),
% 54.04/34.22 inference(unit_resolution,[status(thm)],[13906, 13903, 13896])).
% 54.04/34.22 tff(13908,plain,
% 54.04/34.22 (^[VarCurr: state_type] : refl(((~v139(VarCurr)) | (~v88(VarCurr, 0))) <=> ((~v139(VarCurr)) | (~v88(VarCurr, 0))))),
% 54.04/34.22 inference(bind,[status(th)],[])).
% 54.04/34.22 tff(13909,plain,
% 54.04/34.22 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))),
% 54.04/34.22 inference(quant_intro,[status(thm)],[13908])).
% 54.04/34.22 tff(13910,plain,
% 54.04/34.22 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))),
% 54.04/34.22 inference(rewrite,[status(thm)],[])).
% 54.04/34.22 tff(13911,axiom,(![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9_1_1_4')).
% 54.04/34.22 tff(13912,plain,
% 54.04/34.22 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))),
% 54.04/34.22 inference(modus_ponens,[status(thm)],[13911, 13910])).
% 54.04/34.22 tff(13913,plain,(
% 54.04/34.22 ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))),
% 54.04/34.22 inference(skolemize,[status(sab)],[13912])).
% 54.04/34.22 tff(13914,plain,
% 54.04/34.22 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))),
% 54.04/34.22 inference(modus_ponens,[status(thm)],[13913, 13909])).
% 54.04/34.22 tff(13915,plain,
% 54.04/34.22 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB71)) | (~v88(constB71, 0)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB71)) | (~v88(constB71, 0)))),
% 54.04/34.22 inference(rewrite,[status(thm)],[])).
% 54.04/34.22 tff(13916,plain,
% 54.04/34.22 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | ((~v139(constB71)) | (~v88(constB71, 0)))),
% 54.04/34.22 inference(quant_inst,[status(thm)],[])).
% 54.04/34.22 tff(13917,plain,
% 54.04/34.22 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 0)))) | (~v139(constB71)) | (~v88(constB71, 0))),
% 54.04/34.22 inference(modus_ponens,[status(thm)],[13916, 13915])).
% 54.04/34.22 tff(13918,plain,
% 54.04/34.22 (~v139(constB71)),
% 54.04/34.22 inference(unit_resolution,[status(thm)],[13917, 13914, 13907])).
% 54.04/34.22 tff(13919,plain,
% 54.04/34.22 (^[VarCurr: state_type] : refl((v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr))) <=> (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr))))),
% 54.04/34.22 inference(bind,[status(th)],[])).
% 54.04/34.22 tff(13920,plain,
% 54.04/34.22 (![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr))) <=> ![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))),
% 54.04/34.22 inference(quant_intro,[status(thm)],[13919])).
% 54.04/34.22 tff(13921,plain,
% 54.04/34.22 (![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr))) <=> ![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))),
% 54.04/34.22 inference(rewrite,[status(thm)],[])).
% 54.04/34.22 tff(13922,plain,
% 54.04/34.22 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v170(VarCurr)) | v139(VarCurr)) <=> (v139(VarCurr) | (~v170(VarCurr)))), ((((~v170(VarCurr)) | v139(VarCurr)) | v140(VarCurr)) <=> ((v139(VarCurr) | (~v170(VarCurr))) | v140(VarCurr)))), rewrite(((v139(VarCurr) | (~v170(VarCurr))) | v140(VarCurr)) <=> (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))), ((((~v170(VarCurr)) | v139(VarCurr)) | v140(VarCurr)) <=> (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))))),
% 54.04/34.22 inference(bind,[status(th)],[])).
% 54.04/34.22 tff(13923,plain,
% 54.04/34.22 (![VarCurr: state_type] : (((~v170(VarCurr)) | v139(VarCurr)) | v140(VarCurr)) <=> ![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))),
% 54.04/34.22 inference(quant_intro,[status(thm)],[13922])).
% 54.04/34.22 tff(13924,axiom,(![VarCurr: state_type] : (((~v170(VarCurr)) | v139(VarCurr)) | v140(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_41_1_3')).
% 54.04/34.22 tff(13925,plain,
% 54.04/34.22 (![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))),
% 54.04/34.22 inference(modus_ponens,[status(thm)],[13924, 13923])).
% 54.04/34.22 tff(13926,plain,
% 54.04/34.22 (![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))),
% 54.04/34.22 inference(modus_ponens,[status(thm)],[13925, 13921])).
% 54.04/34.22 tff(13927,plain,(
% 54.04/34.22 ![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))),
% 54.04/34.22 inference(skolemize,[status(sab)],[13926])).
% 54.04/34.22 tff(13928,plain,
% 54.04/34.22 (![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))),
% 54.04/34.22 inference(modus_ponens,[status(thm)],[13927, 13920])).
% 54.04/34.22 tff(13929,plain,
% 54.04/34.22 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB71) | v140(constB71) | (~v170(constB71)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB71) | v140(constB71) | (~v170(constB71)))),
% 54.04/34.22 inference(rewrite,[status(thm)],[])).
% 54.04/34.22 tff(13930,plain,
% 54.04/34.22 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB71) | v140(constB71) | (~v170(constB71)))),
% 54.04/34.22 inference(quant_inst,[status(thm)],[])).
% 54.04/34.22 tff(13931,plain,
% 54.04/34.22 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB71) | v140(constB71) | (~v170(constB71))),
% 54.04/34.22 inference(modus_ponens,[status(thm)],[13930, 13929])).
% 54.04/34.22 tff(13932,plain,
% 54.04/34.22 (~v170(constB71)),
% 54.04/34.22 inference(unit_resolution,[status(thm)],[13931, 13928, 13918, 13865])).
% 54.04/34.22 tff(13933,plain,
% 54.04/34.22 (^[VarCurr: state_type] : refl(((~v141(VarCurr)) | (~v88(VarCurr, 2))) <=> ((~v141(VarCurr)) | (~v88(VarCurr, 2))))),
% 54.04/34.22 inference(bind,[status(th)],[])).
% 54.04/34.22 tff(13934,plain,
% 54.04/34.22 (![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))),
% 54.04/34.22 inference(quant_intro,[status(thm)],[13933])).
% 54.04/34.22 tff(13935,plain,
% 54.04/34.22 (![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))),
% 54.04/34.22 inference(rewrite,[status(thm)],[])).
% 54.04/34.22 tff(13936,axiom,(![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_11_1_1_4')).
% 54.04/34.22 tff(13937,plain,
% 54.04/34.22 (![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))),
% 54.04/34.22 inference(modus_ponens,[status(thm)],[13936, 13935])).
% 54.04/34.22 tff(13938,plain,(
% 54.04/34.22 ![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))),
% 54.04/34.22 inference(skolemize,[status(sab)],[13937])).
% 54.04/34.22 tff(13939,plain,
% 54.04/34.22 (![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))),
% 54.04/34.22 inference(modus_ponens,[status(thm)],[13938, 13934])).
% 54.04/34.22 tff(13940,plain,
% 54.04/34.22 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB71)) | (~v88(constB71, 2)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB71)) | (~v88(constB71, 2)))),
% 54.04/34.22 inference(rewrite,[status(thm)],[])).
% 54.04/34.22 tff(13941,plain,
% 54.04/34.22 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB71)) | (~v88(constB71, 2)))),
% 54.04/34.22 inference(quant_inst,[status(thm)],[])).
% 54.04/34.22 tff(13942,plain,
% 54.04/34.22 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB71)) | (~v88(constB71, 2))),
% 54.04/34.22 inference(modus_ponens,[status(thm)],[13941, 13940])).
% 54.04/34.22 tff(13943,plain,
% 54.04/34.22 (~v141(constB71)),
% 54.04/34.22 inference(unit_resolution,[status(thm)],[13942, 13939, 13854])).
% 54.04/34.22 tff(13944,plain,
% 54.04/34.22 (^[VarCurr: state_type] : refl((v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr))) <=> (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr))))),
% 54.04/34.22 inference(bind,[status(th)],[])).
% 54.04/34.22 tff(13945,plain,
% 54.04/34.22 (![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr))) <=> ![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))),
% 54.04/34.22 inference(quant_intro,[status(thm)],[13944])).
% 54.04/34.22 tff(13946,plain,
% 54.04/34.22 (![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr))) <=> ![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))),
% 54.04/34.22 inference(rewrite,[status(thm)],[])).
% 54.04/34.22 tff(13947,plain,
% 54.04/34.22 (^[VarCurr: state_type] : trans(monotonicity(rewrite((v170(VarCurr) | v141(VarCurr)) <=> (v141(VarCurr) | v170(VarCurr))), (((v170(VarCurr) | v141(VarCurr)) | (~v169(VarCurr))) <=> ((v141(VarCurr) | v170(VarCurr)) | (~v169(VarCurr))))), rewrite(((v141(VarCurr) | v170(VarCurr)) | (~v169(VarCurr))) <=> (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))), (((v170(VarCurr) | v141(VarCurr)) | (~v169(VarCurr))) <=> (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))))),
% 54.04/34.22 inference(bind,[status(th)],[])).
% 54.04/34.22 tff(13948,plain,
% 54.04/34.22 (![VarCurr: state_type] : ((v170(VarCurr) | v141(VarCurr)) | (~v169(VarCurr))) <=> ![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))),
% 54.04/34.22 inference(quant_intro,[status(thm)],[13947])).
% 54.04/34.22 tff(13949,axiom,(![VarCurr: state_type] : ((v170(VarCurr) | v141(VarCurr)) | (~v169(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_1_1_1')).
% 54.04/34.22 tff(13950,plain,
% 54.04/34.22 (![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))),
% 54.04/34.22 inference(modus_ponens,[status(thm)],[13949, 13948])).
% 54.04/34.22 tff(13951,plain,
% 54.04/34.22 (![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))),
% 54.04/34.22 inference(modus_ponens,[status(thm)],[13950, 13946])).
% 54.04/34.22 tff(13952,plain,(
% 54.04/34.22 ![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))),
% 54.04/34.22 inference(skolemize,[status(sab)],[13951])).
% 54.04/34.22 tff(13953,plain,
% 54.04/34.22 (![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))),
% 54.04/34.22 inference(modus_ponens,[status(thm)],[13952, 13945])).
% 54.04/34.22 tff(13954,plain,
% 54.04/34.22 (((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB71) | v170(constB71) | (~v169(constB71)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB71) | v170(constB71) | (~v169(constB71)))),
% 54.04/34.22 inference(rewrite,[status(thm)],[])).
% 54.04/34.22 tff(13955,plain,
% 54.04/34.22 ((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB71) | v170(constB71) | (~v169(constB71)))),
% 54.04/34.22 inference(quant_inst,[status(thm)],[])).
% 54.04/34.22 tff(13956,plain,
% 54.04/34.22 ((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB71) | v170(constB71) | (~v169(constB71))),
% 54.04/34.22 inference(modus_ponens,[status(thm)],[13955, 13954])).
% 54.04/34.22 tff(13957,plain,
% 54.04/34.22 (~v169(constB71)),
% 54.04/34.22 inference(unit_resolution,[status(thm)],[13956, 13953, 13943, 13932])).
% 54.04/34.22 tff(13958,plain,
% 54.04/34.22 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB69)) | (~v130(constB69, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB69)) | (~v130(constB69, 1)))),
% 54.04/34.22 inference(rewrite,[status(thm)],[])).
% 54.04/34.22 tff(13959,plain,
% 54.04/34.22 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB69)) | (~v130(constB69, 1)))),
% 54.04/34.22 inference(quant_inst,[status(thm)],[])).
% 54.04/34.22 tff(13960,plain,
% 54.04/34.22 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB69)) | (~v130(constB69, 1))),
% 54.04/34.22 inference(modus_ponens,[status(thm)],[13959, 13958])).
% 54.04/34.22 tff(13961,plain,
% 54.04/34.22 (~v130(constB69, 1)),
% 54.04/34.22 inference(unit_resolution,[status(thm)],[13960, 2581, 13723])).
% 54.04/34.22 tff(13962,plain,
% 54.04/34.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB69, 1)) | v26(constB69) | v130(constB69, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB69, 1)) | v26(constB69) | v130(constB69, 1))),
% 54.04/34.22 inference(rewrite,[status(thm)],[])).
% 54.04/34.22 tff(13963,plain,
% 54.04/34.22 ((v26(constB69) | v130(constB69, 1) | (~v127(constB69, 1))) <=> ((~v127(constB69, 1)) | v26(constB69) | v130(constB69, 1))),
% 54.04/34.22 inference(rewrite,[status(thm)],[])).
% 54.04/34.22 tff(13964,plain,
% 54.04/34.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB69) | v130(constB69, 1) | (~v127(constB69, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB69, 1)) | v26(constB69) | v130(constB69, 1)))),
% 54.04/34.22 inference(monotonicity,[status(thm)],[13963])).
% 54.04/34.22 tff(13965,plain,
% 54.04/34.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB69) | v130(constB69, 1) | (~v127(constB69, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB69, 1)) | v26(constB69) | v130(constB69, 1))),
% 54.04/34.22 inference(transitivity,[status(thm)],[13964, 13962])).
% 54.04/34.22 tff(13966,plain,
% 54.04/34.22 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB69) | v130(constB69, 1) | (~v127(constB69, 1)))),
% 54.04/34.22 inference(quant_inst,[status(thm)],[])).
% 54.04/34.22 tff(13967,plain,
% 54.04/34.22 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB69, 1)) | v26(constB69) | v130(constB69, 1)),
% 54.04/34.22 inference(modus_ponens,[status(thm)],[13966, 13965])).
% 54.04/34.22 tff(13968,plain,
% 54.04/34.22 ((~v127(constB69, 1)) | v130(constB69, 1)),
% 54.04/34.22 inference(unit_resolution,[status(thm)],[13967, 1276, 13745])).
% 54.04/34.22 tff(13969,plain,
% 54.04/34.22 (~v127(constB69, 1)),
% 54.04/34.22 inference(unit_resolution,[status(thm)],[13968, 13961])).
% 54.04/34.22 tff(13970,plain,
% 54.04/34.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB69, constB70)) | v127(constB69, 1) | (~v129(constB70, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB69, constB70)) | v127(constB69, 1) | (~v129(constB70, 1)))),
% 54.04/34.22 inference(rewrite,[status(thm)],[])).
% 54.04/34.22 tff(13971,plain,
% 54.04/34.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB69, constB70)) | v127(constB69, 1) | (~v129(constB70, 1)))),
% 54.04/34.22 inference(quant_inst,[status(thm)],[])).
% 54.04/34.22 tff(13972,plain,
% 54.04/34.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB69, constB70)) | v127(constB69, 1) | (~v129(constB70, 1))),
% 54.04/34.22 inference(modus_ponens,[status(thm)],[13971, 13970])).
% 54.04/34.22 tff(13973,plain,
% 54.04/34.22 (v127(constB69, 1) | (~v129(constB70, 1))),
% 54.04/34.22 inference(unit_resolution,[status(thm)],[13972, 1294, 13763])).
% 54.04/34.22 tff(13974,plain,
% 54.04/34.22 (~v129(constB70, 1)),
% 54.04/34.22 inference(unit_resolution,[status(thm)],[13973, 13969])).
% 54.04/34.22 tff(13975,plain,
% 54.04/34.22 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB70, 1)) | v129(constB70, 1) | (~v100(constB70)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB70, 1)) | v129(constB70, 1) | (~v100(constB70)))),
% 54.04/34.22 inference(rewrite,[status(thm)],[])).
% 54.04/34.22 tff(13976,plain,
% 54.04/34.22 (((~v90(constB70, 1)) | (~v100(constB70)) | v129(constB70, 1)) <=> ((~v90(constB70, 1)) | v129(constB70, 1) | (~v100(constB70)))),
% 54.04/34.22 inference(rewrite,[status(thm)],[])).
% 54.04/34.22 tff(13977,plain,
% 54.04/34.22 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB70, 1)) | (~v100(constB70)) | v129(constB70, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB70, 1)) | v129(constB70, 1) | (~v100(constB70))))),
% 54.04/34.22 inference(monotonicity,[status(thm)],[13976])).
% 54.04/34.22 tff(13978,plain,
% 54.04/34.22 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB70, 1)) | (~v100(constB70)) | v129(constB70, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB70, 1)) | v129(constB70, 1) | (~v100(constB70)))),
% 54.04/34.22 inference(transitivity,[status(thm)],[13977, 13975])).
% 54.04/34.22 tff(13979,plain,
% 54.04/34.22 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB70, 1)) | (~v100(constB70)) | v129(constB70, 1))),
% 54.04/34.22 inference(quant_inst,[status(thm)],[])).
% 54.04/34.22 tff(13980,plain,
% 54.04/34.22 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB70, 1)) | v129(constB70, 1) | (~v100(constB70))),
% 54.04/34.22 inference(modus_ponens,[status(thm)],[13979, 13978])).
% 54.04/34.22 tff(13981,plain,
% 54.04/34.22 ((~v90(constB70, 1)) | (~v100(constB70))),
% 54.04/34.22 inference(unit_resolution,[status(thm)],[13980, 1309, 13974])).
% 54.04/34.22 tff(13982,plain,
% 54.04/34.22 (~v90(constB70, 1)),
% 54.04/34.22 inference(unit_resolution,[status(thm)],[13981, 13794])).
% 54.04/34.22 tff(13983,plain,
% 54.04/34.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB70, 1) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB70, 1) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, 1)))),
% 54.04/34.22 inference(rewrite,[status(thm)],[])).
% 54.04/34.22 tff(13984,plain,
% 54.04/34.22 (((~nextState(constB70, constB71)) | v90(constB70, 1) | v100(constB71) | (~v90(constB71, 1))) <=> (v90(constB70, 1) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, 1)))),
% 54.04/34.22 inference(rewrite,[status(thm)],[])).
% 54.04/34.22 tff(13985,plain,
% 54.04/34.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB70, constB71)) | v90(constB70, 1) | v100(constB71) | (~v90(constB71, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB70, 1) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, 1))))),
% 54.04/34.22 inference(monotonicity,[status(thm)],[13984])).
% 54.04/34.22 tff(13986,plain,
% 54.04/34.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB70, constB71)) | v90(constB70, 1) | v100(constB71) | (~v90(constB71, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB70, 1) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, 1)))),
% 54.04/34.22 inference(transitivity,[status(thm)],[13985, 13983])).
% 54.04/34.22 tff(13987,plain,
% 54.04/34.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB70, constB71)) | v90(constB70, 1) | v100(constB71) | (~v90(constB71, 1)))),
% 54.04/34.22 inference(quant_inst,[status(thm)],[])).
% 54.04/34.22 tff(13988,plain,
% 54.04/34.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB70, 1) | (~nextState(constB70, constB71)) | v100(constB71) | (~v90(constB71, 1))),
% 54.04/34.22 inference(modus_ponens,[status(thm)],[13987, 13986])).
% 54.04/34.22 tff(13989,plain,
% 54.04/34.22 (v90(constB70, 1) | v100(constB71) | (~v90(constB71, 1))),
% 54.04/34.22 inference(unit_resolution,[status(thm)],[13988, 926, 13822])).
% 54.04/34.22 tff(13990,plain,
% 54.04/34.22 (v90(constB70, 1) | (~v90(constB71, 1))),
% 54.04/34.22 inference(unit_resolution,[status(thm)],[13989, 13834])).
% 54.04/34.22 tff(13991,plain,
% 54.04/34.22 (~v90(constB71, 1)),
% 54.04/34.22 inference(unit_resolution,[status(thm)],[13990, 13982])).
% 54.04/34.22 tff(13992,plain,
% 54.04/34.22 (^[VarCurr: state_type] : refl(((~v88(VarCurr, 1)) | v90(VarCurr, 1)) <=> ((~v88(VarCurr, 1)) | v90(VarCurr, 1)))),
% 54.04/34.22 inference(bind,[status(th)],[])).
% 54.04/34.22 tff(13993,plain,
% 54.04/34.22 (![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))),
% 54.04/34.22 inference(quant_intro,[status(thm)],[13992])).
% 54.04/34.22 tff(13994,plain,
% 54.04/34.22 (![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))),
% 54.04/34.22 inference(rewrite,[status(thm)],[])).
% 54.04/34.22 tff(13995,axiom,(![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_8_1_4')).
% 54.04/34.22 tff(13996,plain,
% 54.04/34.22 (![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))),
% 54.04/34.22 inference(modus_ponens,[status(thm)],[13995, 13994])).
% 54.04/34.22 tff(13997,plain,(
% 54.04/34.22 ![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))),
% 54.04/34.22 inference(skolemize,[status(sab)],[13996])).
% 54.04/34.22 tff(13998,plain,
% 54.04/34.22 (![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))),
% 54.04/34.22 inference(modus_ponens,[status(thm)],[13997, 13993])).
% 54.04/34.22 tff(13999,plain,
% 54.04/34.22 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB71, 1)) | v90(constB71, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB71, 1)) | v90(constB71, 1))),
% 54.04/34.22 inference(rewrite,[status(thm)],[])).
% 54.04/34.22 tff(14000,plain,
% 54.04/34.22 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB71, 1)) | v90(constB71, 1))),
% 54.04/34.22 inference(quant_inst,[status(thm)],[])).
% 54.04/34.22 tff(14001,plain,
% 54.04/34.22 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB71, 1)) | v90(constB71, 1)),
% 54.04/34.22 inference(modus_ponens,[status(thm)],[14000, 13999])).
% 54.04/34.22 tff(14002,plain,
% 54.04/34.22 (~v88(constB71, 1)),
% 54.04/34.22 inference(unit_resolution,[status(thm)],[14001, 13998, 13991])).
% 54.04/34.22 tff(14003,plain,
% 54.04/34.22 (^[VarCurr: state_type] : refl(((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr)) <=> ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr)))),
% 54.04/34.22 inference(bind,[status(th)],[])).
% 54.04/34.22 tff(14004,plain,
% 54.04/34.22 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))),
% 54.04/34.22 inference(quant_intro,[status(thm)],[14003])).
% 54.04/34.22 tff(14005,plain,
% 54.04/34.22 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))),
% 54.04/34.22 inference(rewrite,[status(thm)],[])).
% 54.04/34.22 tff(14006,plain,
% 54.04/34.22 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite((v88(VarCurr, 1) | (~v88(VarCurr, 0))) <=> (v88(VarCurr, 1) | (~v88(VarCurr, 0)))), (((v88(VarCurr, 1) | (~v88(VarCurr, 0))) | (~v88(VarCurr, 2))) <=> ((v88(VarCurr, 1) | (~v88(VarCurr, 0))) | (~v88(VarCurr, 2))))), rewrite(((v88(VarCurr, 1) | (~v88(VarCurr, 0))) | (~v88(VarCurr, 2))) <=> ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)))), (((v88(VarCurr, 1) | (~v88(VarCurr, 0))) | (~v88(VarCurr, 2))) <=> ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0))))), ((((v88(VarCurr, 1) | (~v88(VarCurr, 0))) | (~v88(VarCurr, 2))) | v147(VarCurr)) <=> (((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0))) | v147(VarCurr)))), rewrite((((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0))) | v147(VarCurr)) <=> ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))), ((((v88(VarCurr, 1) | (~v88(VarCurr, 0))) | (~v88(VarCurr, 2))) | v147(VarCurr)) <=> ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))))),
% 54.04/34.22 inference(bind,[status(th)],[])).
% 54.04/34.22 tff(14007,plain,
% 54.04/34.22 (![VarCurr: state_type] : (((v88(VarCurr, 1) | (~v88(VarCurr, 0))) | (~v88(VarCurr, 2))) | v147(VarCurr)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))),
% 54.04/34.22 inference(quant_intro,[status(thm)],[14006])).
% 54.04/34.22 tff(14008,axiom,(![VarCurr: state_type] : (((v88(VarCurr, 1) | (~v88(VarCurr, 0))) | (~v88(VarCurr, 2))) | v147(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_15_1_1_1')).
% 54.04/34.22 tff(14009,plain,
% 54.04/34.22 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))),
% 54.04/34.22 inference(modus_ponens,[status(thm)],[14008, 14007])).
% 54.04/34.22 tff(14010,plain,
% 54.04/34.22 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))),
% 54.04/34.22 inference(modus_ponens,[status(thm)],[14009, 14005])).
% 54.04/34.22 tff(14011,plain,(
% 54.04/34.22 ![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))),
% 54.04/34.22 inference(skolemize,[status(sab)],[14010])).
% 54.04/34.22 tff(14012,plain,
% 54.04/34.22 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))),
% 54.04/34.22 inference(modus_ponens,[status(thm)],[14011, 14004])).
% 54.04/34.22 tff(14013,plain,
% 54.04/34.22 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (v88(constB71, 1) | (~v88(constB71, 2)) | (~v88(constB71, 0)) | v147(constB71))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | v88(constB71, 1) | (~v88(constB71, 2)) | (~v88(constB71, 0)) | v147(constB71))),
% 54.04/34.22 inference(rewrite,[status(thm)],[])).
% 54.04/34.22 tff(14014,plain,
% 54.04/34.22 (((~v88(constB71, 2)) | v88(constB71, 1) | (~v88(constB71, 0)) | v147(constB71)) <=> (v88(constB71, 1) | (~v88(constB71, 2)) | (~v88(constB71, 0)) | v147(constB71))),
% 54.04/34.22 inference(rewrite,[status(thm)],[])).
% 54.04/34.22 tff(14015,plain,
% 54.04/34.22 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB71, 2)) | v88(constB71, 1) | (~v88(constB71, 0)) | v147(constB71))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (v88(constB71, 1) | (~v88(constB71, 2)) | (~v88(constB71, 0)) | v147(constB71)))),
% 54.04/34.22 inference(monotonicity,[status(thm)],[14014])).
% 54.04/34.22 tff(14016,plain,
% 54.04/34.22 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB71, 2)) | v88(constB71, 1) | (~v88(constB71, 0)) | v147(constB71))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | v88(constB71, 1) | (~v88(constB71, 2)) | (~v88(constB71, 0)) | v147(constB71))),
% 54.04/34.22 inference(transitivity,[status(thm)],[14015, 14013])).
% 54.04/34.22 tff(14017,plain,
% 54.04/34.22 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB71, 2)) | v88(constB71, 1) | (~v88(constB71, 0)) | v147(constB71))),
% 54.04/34.22 inference(quant_inst,[status(thm)],[])).
% 54.04/34.22 tff(14018,plain,
% 54.04/34.22 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | v88(constB71, 1) | (~v88(constB71, 2)) | (~v88(constB71, 0)) | v147(constB71)),
% 54.04/34.22 inference(modus_ponens,[status(thm)],[14017, 14016])).
% 54.04/34.22 tff(14019,plain,
% 54.04/34.22 (v147(constB71)),
% 54.04/34.22 inference(unit_resolution,[status(thm)],[14018, 14012, 13907, 13854, 14002])).
% 54.04/34.22 tff(14020,plain,
% 54.04/34.22 (^[VarCurr: state_type] : refl(((~v147(VarCurr)) | v145(VarCurr)) <=> ((~v147(VarCurr)) | v145(VarCurr)))),
% 54.04/34.22 inference(bind,[status(th)],[])).
% 54.04/34.22 tff(14021,plain,
% 54.04/34.22 (![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr)) <=> ![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))),
% 54.04/34.22 inference(quant_intro,[status(thm)],[14020])).
% 54.04/34.22 tff(14022,plain,
% 54.04/34.22 (![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr)) <=> ![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))),
% 54.04/34.22 inference(rewrite,[status(thm)],[])).
% 54.04/34.22 tff(14023,axiom,(![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_32_1_1')).
% 54.04/34.22 tff(14024,plain,
% 54.04/34.22 (![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))),
% 54.04/34.22 inference(modus_ponens,[status(thm)],[14023, 14022])).
% 54.04/34.22 tff(14025,plain,(
% 54.04/34.22 ![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))),
% 54.04/34.22 inference(skolemize,[status(sab)],[14024])).
% 54.04/34.22 tff(14026,plain,
% 54.04/34.22 (![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))),
% 54.04/34.22 inference(modus_ponens,[status(thm)],[14025, 14021])).
% 54.04/34.22 tff(14027,plain,
% 54.04/34.22 (((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | ((~v147(constB71)) | v145(constB71))) <=> ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | (~v147(constB71)) | v145(constB71))),
% 54.04/34.22 inference(rewrite,[status(thm)],[])).
% 54.04/34.22 tff(14028,plain,
% 54.04/34.22 ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | ((~v147(constB71)) | v145(constB71))),
% 54.04/34.22 inference(quant_inst,[status(thm)],[])).
% 54.04/34.22 tff(14029,plain,
% 54.04/34.22 ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | (~v147(constB71)) | v145(constB71)),
% 54.04/34.22 inference(modus_ponens,[status(thm)],[14028, 14027])).
% 54.04/34.22 tff(14030,plain,
% 54.04/34.22 (v145(constB71)),
% 54.04/34.22 inference(unit_resolution,[status(thm)],[14029, 14026, 14019])).
% 54.04/34.22 tff(14031,plain,
% 54.04/34.22 (^[VarCurr: state_type] : refl(((~v145(VarCurr)) | v165(VarCurr)) <=> ((~v145(VarCurr)) | v165(VarCurr)))),
% 54.04/34.22 inference(bind,[status(th)],[])).
% 54.04/34.22 tff(14032,plain,
% 54.04/34.22 (![VarCurr: state_type] : ((~v145(VarCurr)) | v165(VarCurr)) <=> ![VarCurr: state_type] : ((~v145(VarCurr)) | v165(VarCurr))),
% 54.04/34.22 inference(quant_intro,[status(thm)],[14031])).
% 54.04/34.22 tff(14033,plain,
% 54.04/34.22 (![VarCurr: state_type] : ((~v145(VarCurr)) | v165(VarCurr)) <=> ![VarCurr: state_type] : ((~v145(VarCurr)) | v165(VarCurr))),
% 54.04/34.22 inference(rewrite,[status(thm)],[])).
% 54.04/34.22 tff(14034,axiom,(![VarCurr: state_type] : ((~v145(VarCurr)) | v165(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_40_1_1_2')).
% 54.04/34.22 tff(14035,plain,
% 54.04/34.22 (![VarCurr: state_type] : ((~v145(VarCurr)) | v165(VarCurr))),
% 54.04/34.22 inference(modus_ponens,[status(thm)],[14034, 14033])).
% 54.04/34.22 tff(14036,plain,(
% 54.04/34.22 ![VarCurr: state_type] : ((~v145(VarCurr)) | v165(VarCurr))),
% 54.04/34.22 inference(skolemize,[status(sab)],[14035])).
% 54.04/34.22 tff(14037,plain,
% 54.04/34.22 (![VarCurr: state_type] : ((~v145(VarCurr)) | v165(VarCurr))),
% 54.04/34.22 inference(modus_ponens,[status(thm)],[14036, 14032])).
% 54.04/34.22 tff(14038,plain,
% 54.04/34.22 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v165(VarCurr))) | (v165(constB71) | (~v145(constB71)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v165(VarCurr))) | v165(constB71) | (~v145(constB71)))),
% 54.04/34.22 inference(rewrite,[status(thm)],[])).
% 54.04/34.22 tff(14039,plain,
% 54.04/34.22 (((~v145(constB71)) | v165(constB71)) <=> (v165(constB71) | (~v145(constB71)))),
% 54.04/34.22 inference(rewrite,[status(thm)],[])).
% 54.04/34.22 tff(14040,plain,
% 54.04/34.22 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v165(VarCurr))) | ((~v145(constB71)) | v165(constB71))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v165(VarCurr))) | (v165(constB71) | (~v145(constB71))))),
% 54.04/34.22 inference(monotonicity,[status(thm)],[14039])).
% 54.04/34.22 tff(14041,plain,
% 54.04/34.22 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v165(VarCurr))) | ((~v145(constB71)) | v165(constB71))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v165(VarCurr))) | v165(constB71) | (~v145(constB71)))),
% 54.04/34.22 inference(transitivity,[status(thm)],[14040, 14038])).
% 54.04/34.22 tff(14042,plain,
% 54.04/34.22 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v165(VarCurr))) | ((~v145(constB71)) | v165(constB71))),
% 54.04/34.22 inference(quant_inst,[status(thm)],[])).
% 54.04/34.22 tff(14043,plain,
% 54.04/34.22 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v165(VarCurr))) | v165(constB71) | (~v145(constB71))),
% 54.04/34.22 inference(modus_ponens,[status(thm)],[14042, 14041])).
% 54.04/34.22 tff(14044,plain,
% 54.04/34.22 (v165(constB71)),
% 54.04/34.22 inference(unit_resolution,[status(thm)],[14043, 14037, 14030])).
% 54.04/34.22 tff(14045,plain,
% 54.04/34.22 (^[VarNext: state_type] : refl(((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext))) <=> ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext))))),
% 54.04/34.22 inference(bind,[status(th)],[])).
% 54.04/34.22 tff(14046,plain,
% 54.04/34.22 (![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext))) <=> ![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))),
% 54.04/34.22 inference(quant_intro,[status(thm)],[14045])).
% 54.04/34.22 tff(14047,plain,
% 54.04/34.22 (![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext))) <=> ![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))),
% 54.04/34.22 inference(rewrite,[status(thm)],[])).
% 54.04/34.22 tff(14048,plain,
% 54.04/34.22 (^[VarNext: state_type] : trans(monotonicity(rewrite(((~v165(VarNext)) | (~v162(VarNext))) <=> ((~v165(VarNext)) | (~v162(VarNext)))), ((((~v165(VarNext)) | (~v162(VarNext))) | v169(VarNext)) <=> (((~v165(VarNext)) | (~v162(VarNext))) | v169(VarNext)))), rewrite((((~v165(VarNext)) | (~v162(VarNext))) | v169(VarNext)) <=> ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))), ((((~v165(VarNext)) | (~v162(VarNext))) | v169(VarNext)) <=> ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))))),
% 54.04/34.22 inference(bind,[status(th)],[])).
% 54.04/34.22 tff(14049,plain,
% 54.04/34.22 (![VarNext: state_type] : (((~v165(VarNext)) | (~v162(VarNext))) | v169(VarNext)) <=> ![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))),
% 54.04/34.22 inference(quant_intro,[status(thm)],[14048])).
% 54.04/34.22 tff(14050,axiom,(![VarNext: state_type] : (((~v165(VarNext)) | (~v162(VarNext))) | v169(VarNext))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_5_2')).
% 54.04/34.22 tff(14051,plain,
% 54.04/34.22 (![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))),
% 54.04/34.22 inference(modus_ponens,[status(thm)],[14050, 14049])).
% 54.04/34.22 tff(14052,plain,
% 54.04/34.22 (![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))),
% 54.04/34.22 inference(modus_ponens,[status(thm)],[14051, 14047])).
% 54.04/34.22 tff(14053,plain,(
% 54.04/34.22 ![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))),
% 54.04/34.22 inference(skolemize,[status(sab)],[14052])).
% 54.04/34.22 tff(14054,plain,
% 54.04/34.22 (![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))),
% 54.04/34.22 inference(modus_ponens,[status(thm)],[14053, 14046])).
% 54.04/34.22 tff(14055,plain,
% 54.04/34.22 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB71)) | v169(constB71) | (~v165(constB71)))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB71)) | v169(constB71) | (~v165(constB71)))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14056,plain,
% 54.04/34.23 (((~v165(constB71)) | v169(constB71) | (~v162(constB71))) <=> ((~v162(constB71)) | v169(constB71) | (~v165(constB71)))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14057,plain,
% 54.04/34.23 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB71)) | v169(constB71) | (~v162(constB71)))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB71)) | v169(constB71) | (~v165(constB71))))),
% 54.04/34.23 inference(monotonicity,[status(thm)],[14056])).
% 54.04/34.23 tff(14058,plain,
% 54.04/34.23 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB71)) | v169(constB71) | (~v162(constB71)))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB71)) | v169(constB71) | (~v165(constB71)))),
% 54.04/34.23 inference(transitivity,[status(thm)],[14057, 14055])).
% 54.04/34.23 tff(14059,plain,
% 54.04/34.23 ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB71)) | v169(constB71) | (~v162(constB71)))),
% 54.04/34.23 inference(quant_inst,[status(thm)],[])).
% 54.04/34.23 tff(14060,plain,
% 54.04/34.23 ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB71)) | v169(constB71) | (~v165(constB71))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14059, 14058])).
% 54.04/34.23 tff(14061,plain,
% 54.04/34.23 (~v162(constB71)),
% 54.04/34.23 inference(unit_resolution,[status(thm)],[14060, 14054, 14044, 13957])).
% 54.04/34.23 tff(14062,plain,
% 54.04/34.23 (^[VarCurr: state_type] : refl((v162(VarCurr) | (~v187(VarCurr))) <=> (v162(VarCurr) | (~v187(VarCurr))))),
% 54.04/34.23 inference(bind,[status(th)],[])).
% 54.04/34.23 tff(14063,plain,
% 54.04/34.23 (![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr))) <=> ![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))),
% 54.04/34.23 inference(quant_intro,[status(thm)],[14062])).
% 54.04/34.23 tff(14064,plain,
% 54.04/34.23 (![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr))) <=> ![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14065,plain,
% 54.04/34.23 (^[VarCurr: state_type] : rewrite(((~v187(VarCurr)) | v162(VarCurr)) <=> (v162(VarCurr) | (~v187(VarCurr))))),
% 54.04/34.23 inference(bind,[status(th)],[])).
% 54.04/34.23 tff(14066,plain,
% 54.04/34.23 (![VarCurr: state_type] : ((~v187(VarCurr)) | v162(VarCurr)) <=> ![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))),
% 54.04/34.23 inference(quant_intro,[status(thm)],[14065])).
% 54.04/34.23 tff(14067,axiom,(![VarCurr: state_type] : ((~v187(VarCurr)) | v162(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_46_1_1_3')).
% 54.04/34.23 tff(14068,plain,
% 54.04/34.23 (![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14067, 14066])).
% 54.04/34.23 tff(14069,plain,
% 54.04/34.23 (![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14068, 14064])).
% 54.04/34.23 tff(14070,plain,(
% 54.04/34.23 ![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))),
% 54.04/34.23 inference(skolemize,[status(sab)],[14069])).
% 54.04/34.23 tff(14071,plain,
% 54.04/34.23 (![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14070, 14063])).
% 54.04/34.23 tff(14072,plain,
% 54.04/34.23 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB71) | (~v187(constB71)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB71) | (~v187(constB71)))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14073,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB71) | (~v187(constB71)))),
% 54.04/34.23 inference(quant_inst,[status(thm)],[])).
% 54.04/34.23 tff(14074,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB71) | (~v187(constB71))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14073, 14072])).
% 54.04/34.23 tff(14075,plain,
% 54.04/34.23 (~v187(constB71)),
% 54.04/34.23 inference(unit_resolution,[status(thm)],[14074, 14071, 14061])).
% 54.04/34.23 tff(14076,plain,
% 54.04/34.23 (^[VarCurr: state_type] : refl((v187(VarCurr) | (~v185(VarCurr))) <=> (v187(VarCurr) | (~v185(VarCurr))))),
% 54.04/34.23 inference(bind,[status(th)],[])).
% 54.04/34.23 tff(14077,plain,
% 54.04/34.23 (![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr))) <=> ![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))),
% 54.04/34.23 inference(quant_intro,[status(thm)],[14076])).
% 54.04/34.23 tff(14078,plain,
% 54.04/34.23 (![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr))) <=> ![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14079,plain,
% 54.04/34.23 (^[VarCurr: state_type] : rewrite(((~v185(VarCurr)) | v187(VarCurr)) <=> (v187(VarCurr) | (~v185(VarCurr))))),
% 54.04/34.23 inference(bind,[status(th)],[])).
% 54.04/34.23 tff(14080,plain,
% 54.04/34.23 (![VarCurr: state_type] : ((~v185(VarCurr)) | v187(VarCurr)) <=> ![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))),
% 54.04/34.23 inference(quant_intro,[status(thm)],[14079])).
% 54.04/34.23 tff(14081,axiom,(![VarCurr: state_type] : ((~v185(VarCurr)) | v187(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_47_1_1_2')).
% 54.04/34.23 tff(14082,plain,
% 54.04/34.23 (![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14081, 14080])).
% 54.04/34.23 tff(14083,plain,
% 54.04/34.23 (![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14082, 14078])).
% 54.04/34.23 tff(14084,plain,(
% 54.04/34.23 ![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))),
% 54.04/34.23 inference(skolemize,[status(sab)],[14083])).
% 54.04/34.23 tff(14085,plain,
% 54.04/34.23 (![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14084, 14077])).
% 54.04/34.23 tff(14086,plain,
% 54.04/34.23 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB71) | (~v185(constB71)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB71) | (~v185(constB71)))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14087,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB71) | (~v185(constB71)))),
% 54.04/34.23 inference(quant_inst,[status(thm)],[])).
% 54.04/34.23 tff(14088,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB71) | (~v185(constB71))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14087, 14086])).
% 54.04/34.23 tff(14089,plain,
% 54.04/34.23 (~v185(constB71)),
% 54.04/34.23 inference(unit_resolution,[status(thm)],[14088, 14085, 14075])).
% 54.04/34.23 tff(14090,plain,
% 54.04/34.23 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB69, 2)) | v88(constB69, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB69, 2)) | v88(constB69, 2))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14091,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB69, 2)) | v88(constB69, 2))),
% 54.04/34.23 inference(quant_inst,[status(thm)],[])).
% 54.04/34.23 tff(14092,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB69, 2)) | v88(constB69, 2)),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14091, 14090])).
% 54.04/34.23 tff(14093,plain,
% 54.04/34.23 (v88(constB69, 2)),
% 54.04/34.23 inference(unit_resolution,[status(thm)],[14092, 13850, 13651])).
% 54.04/34.23 tff(14094,plain,
% 54.04/34.23 (^[VarCurr: state_type] : refl(((~v139(VarCurr)) | (~v88(VarCurr, 2))) <=> ((~v139(VarCurr)) | (~v88(VarCurr, 2))))),
% 54.04/34.23 inference(bind,[status(th)],[])).
% 54.04/34.23 tff(14095,plain,
% 54.04/34.23 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))),
% 54.04/34.23 inference(quant_intro,[status(thm)],[14094])).
% 54.04/34.23 tff(14096,plain,
% 54.04/34.23 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14097,axiom,(![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9_1_1_2')).
% 54.04/34.23 tff(14098,plain,
% 54.04/34.23 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14097, 14096])).
% 54.04/34.23 tff(14099,plain,(
% 54.04/34.23 ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))),
% 54.04/34.23 inference(skolemize,[status(sab)],[14098])).
% 54.04/34.23 tff(14100,plain,
% 54.04/34.23 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14099, 14095])).
% 54.04/34.23 tff(14101,plain,
% 54.04/34.23 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB69)) | (~v88(constB69, 2)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB69)) | (~v88(constB69, 2)))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14102,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB69)) | (~v88(constB69, 2)))),
% 54.04/34.23 inference(quant_inst,[status(thm)],[])).
% 54.04/34.23 tff(14103,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB69)) | (~v88(constB69, 2))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14102, 14101])).
% 54.04/34.23 tff(14104,plain,
% 54.04/34.23 (~v139(constB69)),
% 54.04/34.23 inference(unit_resolution,[status(thm)],[14103, 14100, 14093])).
% 54.04/34.23 tff(14105,plain,
% 54.04/34.23 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB69)) | (~v88(constB69, 2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB69)) | (~v88(constB69, 2)))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14106,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB69)) | (~v88(constB69, 2)))),
% 54.04/34.23 inference(quant_inst,[status(thm)],[])).
% 54.04/34.23 tff(14107,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB69)) | (~v88(constB69, 2))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14106, 14105])).
% 54.04/34.23 tff(14108,plain,
% 54.04/34.23 (~v140(constB69)),
% 54.04/34.23 inference(unit_resolution,[status(thm)],[14107, 13861, 14093])).
% 54.04/34.23 tff(14109,plain,
% 54.04/34.23 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB69) | v140(constB69) | (~v170(constB69)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB69) | v140(constB69) | (~v170(constB69)))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14110,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB69) | v140(constB69) | (~v170(constB69)))),
% 54.04/34.23 inference(quant_inst,[status(thm)],[])).
% 54.04/34.23 tff(14111,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB69) | v140(constB69) | (~v170(constB69))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14110, 14109])).
% 54.04/34.23 tff(14112,plain,
% 54.04/34.23 (~v170(constB69)),
% 54.04/34.23 inference(unit_resolution,[status(thm)],[14111, 13928, 14108, 14104])).
% 54.04/34.23 tff(14113,plain,
% 54.04/34.23 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB69)) | (~v88(constB69, 2)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB69)) | (~v88(constB69, 2)))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14114,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB69)) | (~v88(constB69, 2)))),
% 54.04/34.23 inference(quant_inst,[status(thm)],[])).
% 54.04/34.23 tff(14115,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB69)) | (~v88(constB69, 2))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14114, 14113])).
% 54.04/34.23 tff(14116,plain,
% 54.04/34.23 (~v141(constB69)),
% 54.04/34.23 inference(unit_resolution,[status(thm)],[14115, 13939, 14093])).
% 54.04/34.23 tff(14117,plain,
% 54.04/34.23 (((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB69) | v170(constB69) | (~v169(constB69)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB69) | v170(constB69) | (~v169(constB69)))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14118,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB69) | v170(constB69) | (~v169(constB69)))),
% 54.04/34.23 inference(quant_inst,[status(thm)],[])).
% 54.04/34.23 tff(14119,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB69) | v170(constB69) | (~v169(constB69))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14118, 14117])).
% 54.04/34.23 tff(14120,plain,
% 54.04/34.23 (v170(constB69) | (~v169(constB69))),
% 54.04/34.23 inference(unit_resolution,[status(thm)],[14119, 13953, 14116])).
% 54.04/34.23 tff(14121,plain,
% 54.04/34.23 (~v169(constB69)),
% 54.04/34.23 inference(unit_resolution,[status(thm)],[14120, 14112])).
% 54.04/34.23 tff(14122,plain,
% 54.04/34.23 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB69, 1)) | v90(constB69, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB69, 1)) | v90(constB69, 1))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14123,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB69, 1)) | v90(constB69, 1))),
% 54.04/34.23 inference(quant_inst,[status(thm)],[])).
% 54.04/34.23 tff(14124,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB69, 1)) | v90(constB69, 1)),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14123, 14122])).
% 54.04/34.23 tff(14125,plain,
% 54.04/34.23 (~v88(constB69, 1)),
% 54.04/34.23 inference(unit_resolution,[status(thm)],[14124, 13998, 13685])).
% 54.04/34.23 tff(14126,plain,
% 54.04/34.23 (^[VarCurr: state_type] : refl(((~v88(VarCurr, 0)) | v90(VarCurr, 0)) <=> ((~v88(VarCurr, 0)) | v90(VarCurr, 0)))),
% 54.04/34.23 inference(bind,[status(th)],[])).
% 54.04/34.23 tff(14127,plain,
% 54.04/34.23 (![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))),
% 54.04/34.23 inference(quant_intro,[status(thm)],[14126])).
% 54.04/34.23 tff(14128,plain,
% 54.04/34.23 (![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14129,axiom,(![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_8_1_2')).
% 54.04/34.23 tff(14130,plain,
% 54.04/34.23 (![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14129, 14128])).
% 54.04/34.23 tff(14131,plain,(
% 54.04/34.23 ![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))),
% 54.04/34.23 inference(skolemize,[status(sab)],[14130])).
% 54.04/34.23 tff(14132,plain,
% 54.04/34.23 (![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14131, 14127])).
% 54.04/34.23 tff(14133,plain,
% 54.04/34.23 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB69, 0)) | v90(constB69, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB69, 0)) | v90(constB69, 0))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14134,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB69, 0)) | v90(constB69, 0))),
% 54.04/34.23 inference(quant_inst,[status(thm)],[])).
% 54.04/34.23 tff(14135,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB69, 0)) | v90(constB69, 0)),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14134, 14133])).
% 54.04/34.23 tff(14136,plain,
% 54.04/34.23 (~v88(constB69, 0)),
% 54.04/34.23 inference(unit_resolution,[status(thm)],[14135, 14132, 13719])).
% 54.04/34.23 tff(14137,plain,
% 54.04/34.23 (^[VarCurr: state_type] : refl(((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr)) <=> ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr)))),
% 54.04/34.23 inference(bind,[status(th)],[])).
% 54.04/34.23 tff(14138,plain,
% 54.04/34.23 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))),
% 54.04/34.23 inference(quant_intro,[status(thm)],[14137])).
% 54.04/34.23 tff(14139,plain,
% 54.04/34.23 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14140,plain,
% 54.04/34.23 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v88(VarCurr, 0) | v88(VarCurr, 1)) | (~v88(VarCurr, 2))) <=> ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0))), ((((v88(VarCurr, 0) | v88(VarCurr, 1)) | (~v88(VarCurr, 2))) | v146(VarCurr)) <=> (((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0)) | v146(VarCurr)))), rewrite((((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0)) | v146(VarCurr)) <=> ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))), ((((v88(VarCurr, 0) | v88(VarCurr, 1)) | (~v88(VarCurr, 2))) | v146(VarCurr)) <=> ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))))),
% 54.04/34.23 inference(bind,[status(th)],[])).
% 54.04/34.23 tff(14141,plain,
% 54.04/34.23 (![VarCurr: state_type] : (((v88(VarCurr, 0) | v88(VarCurr, 1)) | (~v88(VarCurr, 2))) | v146(VarCurr)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))),
% 54.04/34.23 inference(quant_intro,[status(thm)],[14140])).
% 54.04/34.23 tff(14142,axiom,(![VarCurr: state_type] : (((v88(VarCurr, 0) | v88(VarCurr, 1)) | (~v88(VarCurr, 2))) | v146(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_14_1_1_1')).
% 54.04/34.23 tff(14143,plain,
% 54.04/34.23 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14142, 14141])).
% 54.04/34.23 tff(14144,plain,
% 54.04/34.23 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14143, 14139])).
% 54.04/34.23 tff(14145,plain,(
% 54.04/34.23 ![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))),
% 54.04/34.23 inference(skolemize,[status(sab)],[14144])).
% 54.04/34.23 tff(14146,plain,
% 54.04/34.23 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14145, 14138])).
% 54.04/34.23 tff(14147,plain,
% 54.04/34.23 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB69, 2)) | v146(constB69) | v88(constB69, 1) | v88(constB69, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (~v88(constB69, 2)) | v146(constB69) | v88(constB69, 1) | v88(constB69, 0))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14148,plain,
% 54.04/34.23 (((~v88(constB69, 2)) | v88(constB69, 1) | v88(constB69, 0) | v146(constB69)) <=> ((~v88(constB69, 2)) | v146(constB69) | v88(constB69, 1) | v88(constB69, 0))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14149,plain,
% 54.04/34.23 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB69, 2)) | v88(constB69, 1) | v88(constB69, 0) | v146(constB69))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB69, 2)) | v146(constB69) | v88(constB69, 1) | v88(constB69, 0)))),
% 54.04/34.23 inference(monotonicity,[status(thm)],[14148])).
% 54.04/34.23 tff(14150,plain,
% 54.04/34.23 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB69, 2)) | v88(constB69, 1) | v88(constB69, 0) | v146(constB69))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (~v88(constB69, 2)) | v146(constB69) | v88(constB69, 1) | v88(constB69, 0))),
% 54.04/34.23 inference(transitivity,[status(thm)],[14149, 14147])).
% 54.04/34.23 tff(14151,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB69, 2)) | v88(constB69, 1) | v88(constB69, 0) | v146(constB69))),
% 54.04/34.23 inference(quant_inst,[status(thm)],[])).
% 54.04/34.23 tff(14152,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (~v88(constB69, 2)) | v146(constB69) | v88(constB69, 1) | v88(constB69, 0)),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14151, 14150])).
% 54.04/34.23 tff(14153,plain,
% 54.04/34.23 (v146(constB69)),
% 54.04/34.23 inference(unit_resolution,[status(thm)],[14152, 14146, 14093, 14136, 14125])).
% 54.04/34.23 tff(14154,plain,
% 54.04/34.23 (^[VarCurr: state_type] : refl(((~v146(VarCurr)) | v145(VarCurr)) <=> ((~v146(VarCurr)) | v145(VarCurr)))),
% 54.04/34.23 inference(bind,[status(th)],[])).
% 54.04/34.23 tff(14155,plain,
% 54.04/34.23 (![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr)) <=> ![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))),
% 54.04/34.23 inference(quant_intro,[status(thm)],[14154])).
% 54.04/34.23 tff(14156,plain,
% 54.04/34.23 (![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr)) <=> ![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14157,axiom,(![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_32_1_2')).
% 54.04/34.23 tff(14158,plain,
% 54.04/34.23 (![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14157, 14156])).
% 54.04/34.23 tff(14159,plain,(
% 54.04/34.23 ![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))),
% 54.04/34.23 inference(skolemize,[status(sab)],[14158])).
% 54.04/34.23 tff(14160,plain,
% 54.04/34.23 (![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14159, 14155])).
% 54.04/34.23 tff(14161,plain,
% 54.04/34.23 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB69)) | v145(constB69))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (~v146(constB69)) | v145(constB69))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14162,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB69)) | v145(constB69))),
% 54.04/34.23 inference(quant_inst,[status(thm)],[])).
% 54.04/34.23 tff(14163,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (~v146(constB69)) | v145(constB69)),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14162, 14161])).
% 54.04/34.23 tff(14164,plain,
% 54.04/34.23 (v145(constB69)),
% 54.04/34.23 inference(unit_resolution,[status(thm)],[14163, 14160, 14153])).
% 54.04/34.23 tff(14165,plain,
% 54.04/34.23 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v165(VarCurr))) | (v165(constB69) | (~v145(constB69)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v165(VarCurr))) | v165(constB69) | (~v145(constB69)))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14166,plain,
% 54.04/34.23 (((~v145(constB69)) | v165(constB69)) <=> (v165(constB69) | (~v145(constB69)))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14167,plain,
% 54.04/34.23 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v165(VarCurr))) | ((~v145(constB69)) | v165(constB69))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v165(VarCurr))) | (v165(constB69) | (~v145(constB69))))),
% 54.04/34.23 inference(monotonicity,[status(thm)],[14166])).
% 54.04/34.23 tff(14168,plain,
% 54.04/34.23 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v165(VarCurr))) | ((~v145(constB69)) | v165(constB69))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v165(VarCurr))) | v165(constB69) | (~v145(constB69)))),
% 54.04/34.23 inference(transitivity,[status(thm)],[14167, 14165])).
% 54.04/34.23 tff(14169,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v165(VarCurr))) | ((~v145(constB69)) | v165(constB69))),
% 54.04/34.23 inference(quant_inst,[status(thm)],[])).
% 54.04/34.23 tff(14170,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v165(VarCurr))) | v165(constB69) | (~v145(constB69))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14169, 14168])).
% 54.04/34.23 tff(14171,plain,
% 54.04/34.23 (v165(constB69)),
% 54.04/34.23 inference(unit_resolution,[status(thm)],[14170, 14037, 14164])).
% 54.04/34.23 tff(14172,plain,
% 54.04/34.23 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB69)) | v169(constB69) | (~v165(constB69)))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB69)) | v169(constB69) | (~v165(constB69)))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14173,plain,
% 54.04/34.23 (((~v165(constB69)) | v169(constB69) | (~v162(constB69))) <=> ((~v162(constB69)) | v169(constB69) | (~v165(constB69)))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14174,plain,
% 54.04/34.23 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB69)) | v169(constB69) | (~v162(constB69)))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB69)) | v169(constB69) | (~v165(constB69))))),
% 54.04/34.23 inference(monotonicity,[status(thm)],[14173])).
% 54.04/34.23 tff(14175,plain,
% 54.04/34.23 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB69)) | v169(constB69) | (~v162(constB69)))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB69)) | v169(constB69) | (~v165(constB69)))),
% 54.04/34.23 inference(transitivity,[status(thm)],[14174, 14172])).
% 54.04/34.23 tff(14176,plain,
% 54.04/34.23 ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB69)) | v169(constB69) | (~v162(constB69)))),
% 54.04/34.23 inference(quant_inst,[status(thm)],[])).
% 54.04/34.23 tff(14177,plain,
% 54.04/34.23 ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB69)) | v169(constB69) | (~v165(constB69))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14176, 14175])).
% 54.04/34.23 tff(14178,plain,
% 54.04/34.23 (~v162(constB69)),
% 54.04/34.23 inference(unit_resolution,[status(thm)],[14177, 14054, 14171, 14121])).
% 54.04/34.23 tff(14179,plain,
% 54.04/34.23 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB69) | (~v187(constB69)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB69) | (~v187(constB69)))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14180,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB69) | (~v187(constB69)))),
% 54.04/34.23 inference(quant_inst,[status(thm)],[])).
% 54.04/34.23 tff(14181,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB69) | (~v187(constB69))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14180, 14179])).
% 54.04/34.23 tff(14182,plain,
% 54.04/34.23 (~v187(constB69)),
% 54.04/34.23 inference(unit_resolution,[status(thm)],[14181, 14071, 14178])).
% 54.04/34.23 tff(14183,plain,
% 54.04/34.23 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB69) | (~v185(constB69)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB69) | (~v185(constB69)))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14184,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB69) | (~v185(constB69)))),
% 54.04/34.23 inference(quant_inst,[status(thm)],[])).
% 54.04/34.23 tff(14185,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB69) | (~v185(constB69))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14184, 14183])).
% 54.04/34.23 tff(14186,plain,
% 54.04/34.23 (~v185(constB69)),
% 54.04/34.23 inference(unit_resolution,[status(thm)],[14185, 14085, 14182])).
% 54.04/34.23 tff(14187,assumption,(v18(constB70)), introduced(assumption)).
% 54.04/34.23 tff(14188,plain,
% 54.04/34.23 (^[VarCurr: state_type] : refl((~v18(VarCurr)) <=> (~v18(VarCurr)))),
% 54.04/34.23 inference(bind,[status(th)],[])).
% 54.04/34.23 tff(14189,plain,
% 54.04/34.23 (![VarCurr: state_type] : (~v18(VarCurr)) <=> ![VarCurr: state_type] : (~v18(VarCurr))),
% 54.04/34.23 inference(quant_intro,[status(thm)],[14188])).
% 54.04/34.23 tff(14190,plain,
% 54.04/34.23 (![VarCurr: state_type] : (~v18(VarCurr)) <=> ![VarCurr: state_type] : (~v18(VarCurr))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14191,axiom,(![VarCurr: state_type] : (~v18(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addGlobalAssumption_3_1_1')).
% 54.04/34.23 tff(14192,plain,
% 54.04/34.23 (![VarCurr: state_type] : (~v18(VarCurr))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14191, 14190])).
% 54.04/34.23 tff(14193,plain,(
% 54.04/34.23 ![VarCurr: state_type] : (~v18(VarCurr))),
% 54.04/34.23 inference(skolemize,[status(sab)],[14192])).
% 54.04/34.23 tff(14194,plain,
% 54.04/34.23 (![VarCurr: state_type] : (~v18(VarCurr))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14193, 14189])).
% 54.04/34.23 tff(14195,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB70))),
% 54.04/34.23 inference(quant_inst,[status(thm)],[])).
% 54.04/34.23 tff(14196,plain,
% 54.04/34.23 ($false),
% 54.04/34.23 inference(unit_resolution,[status(thm)],[14195, 14194, 14187])).
% 54.04/34.23 tff(14197,plain,(~v18(constB70)), inference(lemma,lemma(discharge,[]))).
% 54.04/34.23 tff(14198,plain,
% 54.04/34.23 (^[VarCurr: state_type] : refl((v22(VarCurr) | (~v1(VarCurr))) <=> (v22(VarCurr) | (~v1(VarCurr))))),
% 54.04/34.23 inference(bind,[status(th)],[])).
% 54.04/34.23 tff(14199,plain,
% 54.04/34.23 (![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr))) <=> ![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 54.04/34.23 inference(quant_intro,[status(thm)],[14198])).
% 54.04/34.23 tff(14200,plain,
% 54.04/34.23 (![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr))) <=> ![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14201,plain,
% 54.04/34.23 (^[VarCurr: state_type] : rewrite(((~v1(VarCurr)) | v22(VarCurr)) <=> (v22(VarCurr) | (~v1(VarCurr))))),
% 54.04/34.23 inference(bind,[status(th)],[])).
% 54.04/34.23 tff(14202,plain,
% 54.04/34.23 (![VarCurr: state_type] : ((~v1(VarCurr)) | v22(VarCurr)) <=> ![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 54.04/34.23 inference(quant_intro,[status(thm)],[14201])).
% 54.04/34.23 tff(14203,axiom,(![VarCurr: state_type] : ((~v1(VarCurr)) | v22(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_1_1_1_1_1')).
% 54.04/34.23 tff(14204,plain,
% 54.04/34.23 (![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14203, 14202])).
% 54.04/34.23 tff(14205,plain,
% 54.04/34.23 (![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14204, 14200])).
% 54.04/34.23 tff(14206,plain,(
% 54.04/34.23 ![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 54.04/34.23 inference(skolemize,[status(sab)],[14205])).
% 54.04/34.23 tff(14207,plain,
% 54.04/34.23 (![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14206, 14199])).
% 54.04/34.23 tff(14208,plain,
% 54.04/34.23 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB70) | (~v1(constB70)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB70) | (~v1(constB70)))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14209,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB70) | (~v1(constB70)))),
% 54.04/34.23 inference(quant_inst,[status(thm)],[])).
% 54.04/34.23 tff(14210,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB70) | (~v1(constB70))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14209, 14208])).
% 54.04/34.23 tff(14211,plain,
% 54.04/34.23 (v22(constB70)),
% 54.04/34.23 inference(unit_resolution,[status(thm)],[14210, 14207, 354])).
% 54.04/34.23 tff(14212,plain,
% 54.04/34.23 (^[VarCurr: state_type] : refl((v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr))) <=> (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr))))),
% 54.04/34.23 inference(bind,[status(th)],[])).
% 54.04/34.23 tff(14213,plain,
% 54.04/34.23 (![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr))) <=> ![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 54.04/34.23 inference(quant_intro,[status(thm)],[14212])).
% 54.04/34.23 tff(14214,plain,
% 54.04/34.23 (![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr))) <=> ![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14215,plain,
% 54.04/34.23 (^[VarCurr: state_type] : rewrite((((~v19(VarCurr)) | (~v22(VarCurr))) | v18(VarCurr)) <=> (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr))))),
% 54.04/34.23 inference(bind,[status(th)],[])).
% 54.04/34.23 tff(14216,plain,
% 54.04/34.23 (![VarCurr: state_type] : (((~v19(VarCurr)) | (~v22(VarCurr))) | v18(VarCurr)) <=> ![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 54.04/34.23 inference(quant_intro,[status(thm)],[14215])).
% 54.04/34.23 tff(14217,axiom,(![VarCurr: state_type] : (((~v19(VarCurr)) | (~v22(VarCurr))) | v18(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_2_1_1_1')).
% 54.04/34.23 tff(14218,plain,
% 54.04/34.23 (![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14217, 14216])).
% 54.04/34.23 tff(14219,plain,
% 54.04/34.23 (![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14218, 14214])).
% 54.04/34.23 tff(14220,plain,(
% 54.04/34.23 ![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 54.04/34.23 inference(skolemize,[status(sab)],[14219])).
% 54.04/34.23 tff(14221,plain,
% 54.04/34.23 (![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14220, 14213])).
% 54.04/34.23 tff(14222,plain,
% 54.04/34.23 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB70) | (~v22(constB70)) | (~v19(constB70)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB70) | (~v22(constB70)) | (~v19(constB70)))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14223,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB70) | (~v22(constB70)) | (~v19(constB70)))),
% 54.04/34.23 inference(quant_inst,[status(thm)],[])).
% 54.04/34.23 tff(14224,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB70) | (~v22(constB70)) | (~v19(constB70))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14223, 14222])).
% 54.04/34.23 tff(14225,plain,
% 54.04/34.23 (v18(constB70) | (~v19(constB70))),
% 54.04/34.23 inference(unit_resolution,[status(thm)],[14224, 14221, 14211])).
% 54.04/34.23 tff(14226,plain,
% 54.04/34.23 (~v19(constB70)),
% 54.04/34.23 inference(unit_resolution,[status(thm)],[14225, 14197])).
% 54.04/34.23 tff(14227,plain,
% 54.04/34.23 (^[VarCurr: state_type] : refl((v13(VarCurr) | v19(VarCurr)) <=> (v13(VarCurr) | v19(VarCurr)))),
% 54.04/34.23 inference(bind,[status(th)],[])).
% 54.04/34.23 tff(14228,plain,
% 54.04/34.23 (![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr)) <=> ![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))),
% 54.04/34.23 inference(quant_intro,[status(thm)],[14227])).
% 54.04/34.23 tff(14229,plain,
% 54.04/34.23 (![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr)) <=> ![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14230,axiom,(![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_59_1_1_2')).
% 54.04/34.23 tff(14231,plain,
% 54.04/34.23 (![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14230, 14229])).
% 54.04/34.23 tff(14232,plain,(
% 54.04/34.23 ![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))),
% 54.04/34.23 inference(skolemize,[status(sab)],[14231])).
% 54.04/34.23 tff(14233,plain,
% 54.04/34.23 (![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14232, 14228])).
% 54.04/34.23 tff(14234,plain,
% 54.04/34.23 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB70) | v19(constB70))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB70) | v19(constB70))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14235,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB70) | v19(constB70))),
% 54.04/34.23 inference(quant_inst,[status(thm)],[])).
% 54.04/34.23 tff(14236,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB70) | v19(constB70)),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14235, 14234])).
% 54.04/34.23 tff(14237,plain,
% 54.04/34.23 (v13(constB70)),
% 54.04/34.23 inference(unit_resolution,[status(thm)],[14236, 14233, 14226])).
% 54.04/34.23 tff(14238,plain,
% 54.04/34.23 (^[VarNext: state_type, VarCurr: state_type] : refl((v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext))) <=> (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext))))),
% 54.04/34.23 inference(bind,[status(th)],[])).
% 54.04/34.23 tff(14239,plain,
% 54.04/34.23 (![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))),
% 54.04/34.23 inference(quant_intro,[status(thm)],[14238])).
% 54.04/34.23 tff(14240,plain,
% 54.04/34.23 (![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14241,plain,
% 54.04/34.23 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v13(VarNext))) <=> ((~v13(VarNext)) | (~nextState(VarCurr, VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v13(VarNext))) | v9(VarCurr)) <=> (((~v13(VarNext)) | (~nextState(VarCurr, VarNext))) | v9(VarCurr)))), rewrite((((~v13(VarNext)) | (~nextState(VarCurr, VarNext))) | v9(VarCurr)) <=> (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v13(VarNext))) | v9(VarCurr)) <=> (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))))),
% 54.04/34.23 inference(bind,[status(th)],[])).
% 54.04/34.23 tff(14242,plain,
% 54.04/34.23 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v13(VarNext))) | v9(VarCurr)) <=> ![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))),
% 54.04/34.23 inference(quant_intro,[status(thm)],[14241])).
% 54.04/34.23 tff(14243,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v13(VarNext))) | v9(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_13_2')).
% 54.04/34.23 tff(14244,plain,
% 54.04/34.23 (![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14243, 14242])).
% 54.04/34.23 tff(14245,plain,
% 54.04/34.23 (![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14244, 14240])).
% 54.04/34.23 tff(14246,plain,(
% 54.04/34.23 ![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))),
% 54.04/34.23 inference(skolemize,[status(sab)],[14245])).
% 54.04/34.23 tff(14247,plain,
% 54.04/34.23 (![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14246, 14239])).
% 54.04/34.23 tff(14248,plain,
% 54.04/34.23 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB69) | (~v13(constB70)) | (~nextState(constB69, constB70)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB69) | (~v13(constB70)) | (~nextState(constB69, constB70)))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14249,plain,
% 54.04/34.23 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB69) | (~v13(constB70)) | (~nextState(constB69, constB70)))),
% 54.04/34.23 inference(quant_inst,[status(thm)],[])).
% 54.04/34.23 tff(14250,plain,
% 54.04/34.23 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB69) | (~v13(constB70)) | (~nextState(constB69, constB70))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14249, 14248])).
% 54.04/34.23 tff(14251,plain,
% 54.04/34.23 (v9(constB69) | (~v13(constB70))),
% 54.04/34.23 inference(unit_resolution,[status(thm)],[14250, 14247, 13763])).
% 54.04/34.23 tff(14252,plain,
% 54.04/34.23 (v9(constB69)),
% 54.04/34.23 inference(unit_resolution,[status(thm)],[14251, 14237])).
% 54.04/34.23 tff(14253,plain,
% 54.04/34.23 (^[VarCurr: state_type] : refl((v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr)))),
% 54.04/34.23 inference(bind,[status(th)],[])).
% 54.04/34.23 tff(14254,plain,
% 54.04/34.23 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))),
% 54.04/34.23 inference(quant_intro,[status(thm)],[14253])).
% 54.04/34.23 tff(14255,plain,
% 54.04/34.23 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14256,plain,
% 54.04/34.23 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v9(VarCurr)) | v1(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)))), ((((~v9(VarCurr)) | v1(VarCurr)) | v184(VarCurr)) <=> ((v1(VarCurr) | (~v9(VarCurr))) | v184(VarCurr)))), rewrite(((v1(VarCurr) | (~v9(VarCurr))) | v184(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))), ((((~v9(VarCurr)) | v1(VarCurr)) | v184(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))))),
% 54.04/34.23 inference(bind,[status(th)],[])).
% 54.04/34.23 tff(14257,plain,
% 54.04/34.23 (![VarCurr: state_type] : (((~v9(VarCurr)) | v1(VarCurr)) | v184(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))),
% 54.04/34.23 inference(quant_intro,[status(thm)],[14256])).
% 54.04/34.23 tff(14258,axiom,(![VarCurr: state_type] : (((~v9(VarCurr)) | v1(VarCurr)) | v184(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_43_1_1_1')).
% 54.04/34.23 tff(14259,plain,
% 54.04/34.23 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14258, 14257])).
% 54.04/34.23 tff(14260,plain,
% 54.04/34.23 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14259, 14255])).
% 54.04/34.23 tff(14261,plain,(
% 54.04/34.23 ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))),
% 54.04/34.23 inference(skolemize,[status(sab)],[14260])).
% 54.04/34.23 tff(14262,plain,
% 54.04/34.23 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14261, 14254])).
% 54.04/34.23 tff(14263,plain,
% 54.04/34.23 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB69) | (~v9(constB69)) | v184(constB69))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB69) | (~v9(constB69)) | v184(constB69))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14264,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB69) | (~v9(constB69)) | v184(constB69))),
% 54.04/34.23 inference(quant_inst,[status(thm)],[])).
% 54.04/34.23 tff(14265,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB69) | (~v9(constB69)) | v184(constB69)),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14264, 14263])).
% 54.04/34.23 tff(14266,plain,
% 54.04/34.23 ((~v9(constB69)) | v184(constB69)),
% 54.04/34.23 inference(unit_resolution,[status(thm)],[14265, 14262, 13627])).
% 54.04/34.23 tff(14267,plain,
% 54.04/34.23 (v184(constB69)),
% 54.04/34.23 inference(unit_resolution,[status(thm)],[14266, 14252])).
% 54.04/34.23 tff(14268,plain,
% 54.04/34.23 (^[VarCurr: state_type] : refl(((~v184(VarCurr)) | v183(VarCurr)) <=> ((~v184(VarCurr)) | v183(VarCurr)))),
% 54.04/34.23 inference(bind,[status(th)],[])).
% 54.04/34.23 tff(14269,plain,
% 54.04/34.23 (![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr)) <=> ![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))),
% 54.04/34.23 inference(quant_intro,[status(thm)],[14268])).
% 54.04/34.23 tff(14270,plain,
% 54.04/34.23 (![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr)) <=> ![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14271,axiom,(![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_44_1_1_1')).
% 54.04/34.23 tff(14272,plain,
% 54.04/34.23 (![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14271, 14270])).
% 54.04/34.23 tff(14273,plain,(
% 54.04/34.23 ![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))),
% 54.04/34.23 inference(skolemize,[status(sab)],[14272])).
% 54.04/34.23 tff(14274,plain,
% 54.04/34.23 (![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14273, 14269])).
% 54.04/34.23 tff(14275,plain,
% 54.04/34.23 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB69) | (~v184(constB69)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB69) | (~v184(constB69)))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14276,plain,
% 54.04/34.23 (((~v184(constB69)) | v183(constB69)) <=> (v183(constB69) | (~v184(constB69)))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14277,plain,
% 54.04/34.23 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB69)) | v183(constB69))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB69) | (~v184(constB69))))),
% 54.04/34.23 inference(monotonicity,[status(thm)],[14276])).
% 54.04/34.23 tff(14278,plain,
% 54.04/34.23 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB69)) | v183(constB69))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB69) | (~v184(constB69)))),
% 54.04/34.23 inference(transitivity,[status(thm)],[14277, 14275])).
% 54.04/34.23 tff(14279,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB69)) | v183(constB69))),
% 54.04/34.23 inference(quant_inst,[status(thm)],[])).
% 54.04/34.23 tff(14280,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB69) | (~v184(constB69))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14279, 14278])).
% 54.04/34.23 tff(14281,plain,
% 54.04/34.23 (v183(constB69)),
% 54.04/34.23 inference(unit_resolution,[status(thm)],[14280, 14274, 14267])).
% 54.04/34.23 tff(14282,plain,
% 54.04/34.23 (^[VarCurr: state_type] : refl(((~v181(VarCurr)) | (~v183(VarCurr))) <=> ((~v181(VarCurr)) | (~v183(VarCurr))))),
% 54.04/34.23 inference(bind,[status(th)],[])).
% 54.04/34.23 tff(14283,plain,
% 54.04/34.23 (![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr))) <=> ![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))),
% 54.04/34.23 inference(quant_intro,[status(thm)],[14282])).
% 54.04/34.23 tff(14284,plain,
% 54.04/34.23 (![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr))) <=> ![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14285,axiom,(![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_45_1_1_3')).
% 54.04/34.23 tff(14286,plain,
% 54.04/34.23 (![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14285, 14284])).
% 54.04/34.23 tff(14287,plain,(
% 54.04/34.23 ![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))),
% 54.04/34.23 inference(skolemize,[status(sab)],[14286])).
% 54.04/34.23 tff(14288,plain,
% 54.04/34.23 (![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14287, 14283])).
% 54.04/34.23 tff(14289,plain,
% 54.04/34.23 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB69)) | (~v183(constB69)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB69)) | (~v183(constB69)))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14290,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB69)) | (~v183(constB69)))),
% 54.04/34.23 inference(quant_inst,[status(thm)],[])).
% 54.04/34.23 tff(14291,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB69)) | (~v183(constB69))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14290, 14289])).
% 54.04/34.23 tff(14292,plain,
% 54.04/34.23 (~v181(constB69)),
% 54.04/34.23 inference(unit_resolution,[status(thm)],[14291, 14288, 14281])).
% 54.04/34.23 tff(14293,plain,
% 54.04/34.23 (^[VarCurr: state_type] : refl((v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr))) <=> (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr))))),
% 54.04/34.23 inference(bind,[status(th)],[])).
% 54.04/34.23 tff(14294,plain,
% 54.04/34.23 (![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr))) <=> ![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))),
% 54.04/34.23 inference(quant_intro,[status(thm)],[14293])).
% 54.04/34.23 tff(14295,plain,
% 54.04/34.23 (![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr))) <=> ![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14296,plain,
% 54.04/34.23 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v178(VarCurr)) | v181(VarCurr)) <=> (v181(VarCurr) | (~v178(VarCurr)))), ((((~v178(VarCurr)) | v181(VarCurr)) | v185(VarCurr)) <=> ((v181(VarCurr) | (~v178(VarCurr))) | v185(VarCurr)))), rewrite(((v181(VarCurr) | (~v178(VarCurr))) | v185(VarCurr)) <=> (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))), ((((~v178(VarCurr)) | v181(VarCurr)) | v185(VarCurr)) <=> (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))))),
% 54.04/34.23 inference(bind,[status(th)],[])).
% 54.04/34.23 tff(14297,plain,
% 54.04/34.23 (![VarCurr: state_type] : (((~v178(VarCurr)) | v181(VarCurr)) | v185(VarCurr)) <=> ![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))),
% 54.04/34.23 inference(quant_intro,[status(thm)],[14296])).
% 54.04/34.23 tff(14298,axiom,(![VarCurr: state_type] : (((~v178(VarCurr)) | v181(VarCurr)) | v185(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_48_1_3')).
% 54.04/34.23 tff(14299,plain,
% 54.04/34.23 (![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14298, 14297])).
% 54.04/34.23 tff(14300,plain,
% 54.04/34.23 (![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14299, 14295])).
% 54.04/34.23 tff(14301,plain,(
% 54.04/34.23 ![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))),
% 54.04/34.23 inference(skolemize,[status(sab)],[14300])).
% 54.04/34.23 tff(14302,plain,
% 54.04/34.23 (![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14301, 14294])).
% 54.04/34.23 tff(14303,plain,
% 54.04/34.23 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB69) | v185(constB69) | (~v178(constB69)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB69) | v185(constB69) | (~v178(constB69)))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14304,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB69) | v185(constB69) | (~v178(constB69)))),
% 54.04/34.23 inference(quant_inst,[status(thm)],[])).
% 54.04/34.23 tff(14305,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB69) | v185(constB69) | (~v178(constB69))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14304, 14303])).
% 54.04/34.23 tff(14306,plain,
% 54.04/34.23 (v185(constB69) | (~v178(constB69))),
% 54.04/34.23 inference(unit_resolution,[status(thm)],[14305, 14302, 14292])).
% 54.04/34.23 tff(14307,plain,
% 54.04/34.23 (~v178(constB69)),
% 54.04/34.23 inference(unit_resolution,[status(thm)],[14306, 14186])).
% 54.04/34.23 tff(14308,plain,
% 54.04/34.23 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext))))),
% 54.04/34.23 inference(bind,[status(th)],[])).
% 54.04/34.23 tff(14309,plain,
% 54.04/34.23 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))),
% 54.04/34.23 inference(quant_intro,[status(thm)],[14308])).
% 54.04/34.23 tff(14310,plain,
% 54.04/34.23 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14311,plain,
% 54.04/34.23 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v180(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v180(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v180(VarNext))) | v178(VarCurr)) <=> (((~nextState(VarCurr, VarNext)) | (~v180(VarNext))) | v178(VarCurr)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v180(VarNext))) | v178(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v180(VarNext))) | v178(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))))),
% 54.04/34.23 inference(bind,[status(th)],[])).
% 54.04/34.23 tff(14312,plain,
% 54.04/34.23 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v180(VarNext))) | v178(VarCurr)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))),
% 54.04/34.23 inference(quant_intro,[status(thm)],[14311])).
% 54.04/34.23 tff(14313,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v180(VarNext))) | v178(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_11_1_2')).
% 54.04/34.23 tff(14314,plain,
% 54.04/34.23 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14313, 14312])).
% 54.04/34.23 tff(14315,plain,
% 54.04/34.23 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14314, 14310])).
% 54.04/34.23 tff(14316,plain,(
% 54.04/34.23 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))),
% 54.04/34.23 inference(skolemize,[status(sab)],[14315])).
% 54.04/34.23 tff(14317,plain,
% 54.04/34.23 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14316, 14309])).
% 54.04/34.23 tff(14318,plain,
% 54.04/34.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB69, constB70)) | v178(constB69) | (~v180(constB70)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB69, constB70)) | v178(constB69) | (~v180(constB70)))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14319,plain,
% 54.04/34.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB69, constB70)) | v178(constB69) | (~v180(constB70)))),
% 54.04/34.23 inference(quant_inst,[status(thm)],[])).
% 54.04/34.23 tff(14320,plain,
% 54.04/34.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB69, constB70)) | v178(constB69) | (~v180(constB70))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14319, 14318])).
% 54.04/34.23 tff(14321,plain,
% 54.04/34.23 (v178(constB69) | (~v180(constB70))),
% 54.04/34.23 inference(unit_resolution,[status(thm)],[14320, 14317, 13763])).
% 54.04/34.23 tff(14322,plain,
% 54.04/34.23 (~v180(constB70)),
% 54.04/34.23 inference(unit_resolution,[status(thm)],[14321, 14307])).
% 54.04/34.23 tff(14323,plain,
% 54.04/34.23 (^[VarCurr: state_type] : refl((v180(VarCurr) | (~v181(VarCurr))) <=> (v180(VarCurr) | (~v181(VarCurr))))),
% 54.04/34.23 inference(bind,[status(th)],[])).
% 54.04/34.23 tff(14324,plain,
% 54.04/34.23 (![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr))) <=> ![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))),
% 54.04/34.23 inference(quant_intro,[status(thm)],[14323])).
% 54.04/34.23 tff(14325,plain,
% 54.04/34.23 (![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr))) <=> ![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14326,plain,
% 54.04/34.23 (^[VarCurr: state_type] : rewrite(((~v181(VarCurr)) | v180(VarCurr)) <=> (v180(VarCurr) | (~v181(VarCurr))))),
% 54.04/34.23 inference(bind,[status(th)],[])).
% 54.04/34.23 tff(14327,plain,
% 54.04/34.23 (![VarCurr: state_type] : ((~v181(VarCurr)) | v180(VarCurr)) <=> ![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))),
% 54.04/34.23 inference(quant_intro,[status(thm)],[14326])).
% 54.04/34.23 tff(14328,axiom,(![VarCurr: state_type] : ((~v181(VarCurr)) | v180(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_45_1_1_2')).
% 54.04/34.23 tff(14329,plain,
% 54.04/34.23 (![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14328, 14327])).
% 54.04/34.23 tff(14330,plain,
% 54.04/34.23 (![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14329, 14325])).
% 54.04/34.23 tff(14331,plain,(
% 54.04/34.23 ![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))),
% 54.04/34.23 inference(skolemize,[status(sab)],[14330])).
% 54.04/34.23 tff(14332,plain,
% 54.04/34.23 (![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14331, 14324])).
% 54.04/34.23 tff(14333,plain,
% 54.04/34.23 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB70) | (~v181(constB70)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB70) | (~v181(constB70)))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14334,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB70) | (~v181(constB70)))),
% 54.04/34.23 inference(quant_inst,[status(thm)],[])).
% 54.04/34.23 tff(14335,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB70) | (~v181(constB70))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14334, 14333])).
% 54.04/34.23 tff(14336,plain,
% 54.04/34.23 (~v181(constB70)),
% 54.04/34.23 inference(unit_resolution,[status(thm)],[14335, 14332, 14322])).
% 54.04/34.23 tff(14337,plain,
% 54.04/34.23 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB70)) | (~v184(constB70)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB70)) | (~v184(constB70)))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14338,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB70)) | (~v184(constB70)))),
% 54.04/34.23 inference(quant_inst,[status(thm)],[])).
% 54.04/34.23 tff(14339,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB70)) | (~v184(constB70))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14338, 14337])).
% 54.04/34.23 tff(14340,plain,
% 54.04/34.23 (~v184(constB70)),
% 54.04/34.23 inference(unit_resolution,[status(thm)],[14339, 88, 354])).
% 54.04/34.23 tff(14341,plain,
% 54.04/34.23 (^[VarCurr: state_type] : refl((v184(VarCurr) | (~v187(VarCurr))) <=> (v184(VarCurr) | (~v187(VarCurr))))),
% 54.04/34.23 inference(bind,[status(th)],[])).
% 54.04/34.23 tff(14342,plain,
% 54.04/34.23 (![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr))) <=> ![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))),
% 54.04/34.23 inference(quant_intro,[status(thm)],[14341])).
% 54.04/34.23 tff(14343,plain,
% 54.04/34.23 (![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr))) <=> ![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14344,plain,
% 54.04/34.23 (^[VarCurr: state_type] : rewrite(((~v187(VarCurr)) | v184(VarCurr)) <=> (v184(VarCurr) | (~v187(VarCurr))))),
% 54.04/34.23 inference(bind,[status(th)],[])).
% 54.04/34.23 tff(14345,plain,
% 54.04/34.23 (![VarCurr: state_type] : ((~v187(VarCurr)) | v184(VarCurr)) <=> ![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))),
% 54.04/34.23 inference(quant_intro,[status(thm)],[14344])).
% 54.04/34.23 tff(14346,axiom,(![VarCurr: state_type] : ((~v187(VarCurr)) | v184(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_46_1_1_2')).
% 54.04/34.23 tff(14347,plain,
% 54.04/34.23 (![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14346, 14345])).
% 54.04/34.23 tff(14348,plain,
% 54.04/34.23 (![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14347, 14343])).
% 54.04/34.23 tff(14349,plain,(
% 54.04/34.23 ![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))),
% 54.04/34.23 inference(skolemize,[status(sab)],[14348])).
% 54.04/34.23 tff(14350,plain,
% 54.04/34.23 (![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14349, 14342])).
% 54.04/34.23 tff(14351,plain,
% 54.04/34.23 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB70) | (~v187(constB70)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB70) | (~v187(constB70)))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14352,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB70) | (~v187(constB70)))),
% 54.04/34.23 inference(quant_inst,[status(thm)],[])).
% 54.04/34.23 tff(14353,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB70) | (~v187(constB70))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14352, 14351])).
% 54.04/34.23 tff(14354,plain,
% 54.04/34.23 (~v187(constB70)),
% 54.04/34.23 inference(unit_resolution,[status(thm)],[14353, 14350, 14340])).
% 54.04/34.23 tff(14355,plain,
% 54.04/34.23 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB70) | (~v185(constB70)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB70) | (~v185(constB70)))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14356,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB70) | (~v185(constB70)))),
% 54.04/34.23 inference(quant_inst,[status(thm)],[])).
% 54.04/34.23 tff(14357,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB70) | (~v185(constB70))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14356, 14355])).
% 54.04/34.23 tff(14358,plain,
% 54.04/34.23 (~v185(constB70)),
% 54.04/34.23 inference(unit_resolution,[status(thm)],[14357, 14085, 14354])).
% 54.04/34.23 tff(14359,plain,
% 54.04/34.23 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB70) | v185(constB70) | (~v178(constB70)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB70) | v185(constB70) | (~v178(constB70)))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14360,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB70) | v185(constB70) | (~v178(constB70)))),
% 54.04/34.23 inference(quant_inst,[status(thm)],[])).
% 54.04/34.23 tff(14361,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB70) | v185(constB70) | (~v178(constB70))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14360, 14359])).
% 54.04/34.23 tff(14362,plain,
% 54.04/34.23 (v181(constB70) | (~v178(constB70))),
% 54.04/34.23 inference(unit_resolution,[status(thm)],[14361, 14302, 14358])).
% 54.04/34.23 tff(14363,plain,
% 54.04/34.23 (~v178(constB70)),
% 54.04/34.23 inference(unit_resolution,[status(thm)],[14362, 14336])).
% 54.04/34.23 tff(14364,plain,
% 54.04/34.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB70, constB71)) | v178(constB70) | (~v180(constB71)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB70, constB71)) | v178(constB70) | (~v180(constB71)))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14365,plain,
% 54.04/34.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB70, constB71)) | v178(constB70) | (~v180(constB71)))),
% 54.04/34.23 inference(quant_inst,[status(thm)],[])).
% 54.04/34.23 tff(14366,plain,
% 54.04/34.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB70, constB71)) | v178(constB70) | (~v180(constB71))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14365, 14364])).
% 54.04/34.23 tff(14367,plain,
% 54.04/34.23 (v178(constB70) | (~v180(constB71))),
% 54.04/34.23 inference(unit_resolution,[status(thm)],[14366, 14317, 13822])).
% 54.04/34.23 tff(14368,plain,
% 54.04/34.23 (~v180(constB71)),
% 54.04/34.23 inference(unit_resolution,[status(thm)],[14367, 14363])).
% 54.04/34.23 tff(14369,plain,
% 54.04/34.23 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB71) | (~v181(constB71)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB71) | (~v181(constB71)))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14370,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB71) | (~v181(constB71)))),
% 54.04/34.23 inference(quant_inst,[status(thm)],[])).
% 54.04/34.23 tff(14371,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB71) | (~v181(constB71))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14370, 14369])).
% 54.04/34.23 tff(14372,plain,
% 54.04/34.23 (~v181(constB71)),
% 54.04/34.23 inference(unit_resolution,[status(thm)],[14371, 14332, 14368])).
% 54.04/34.23 tff(14373,plain,
% 54.04/34.23 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB71) | v185(constB71) | (~v178(constB71)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB71) | v185(constB71) | (~v178(constB71)))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14374,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB71) | v185(constB71) | (~v178(constB71)))),
% 54.04/34.23 inference(quant_inst,[status(thm)],[])).
% 54.04/34.23 tff(14375,plain,
% 54.04/34.23 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB71) | v185(constB71) | (~v178(constB71))),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14374, 14373])).
% 54.04/34.23 tff(14376,plain,
% 54.04/34.23 (v185(constB71) | (~v178(constB71))),
% 54.04/34.23 inference(unit_resolution,[status(thm)],[14375, 14302, 14372])).
% 54.04/34.23 tff(14377,plain,
% 54.04/34.23 (~v178(constB71)),
% 54.04/34.23 inference(unit_resolution,[status(thm)],[14376, 14089])).
% 54.04/34.23 tff(14378,plain,
% 54.04/34.23 (nextState(constB71, constB72) <=> nextState(constB71, constB72)),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14379,axiom,(nextState(constB71, constB72)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_71_1')).
% 54.04/34.23 tff(14380,plain,
% 54.04/34.23 (nextState(constB71, constB72)),
% 54.04/34.23 inference(modus_ponens,[status(thm)],[14379, 14378])).
% 54.04/34.23 tff(14381,plain,
% 54.04/34.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB71, constB72)) | v178(constB71) | (~v180(constB72)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB71, constB72)) | v178(constB71) | (~v180(constB72)))),
% 54.04/34.23 inference(rewrite,[status(thm)],[])).
% 54.04/34.23 tff(14382,plain,
% 54.04/34.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB71, constB72)) | v178(constB71) | (~v180(constB72)))),
% 54.04/34.24 inference(quant_inst,[status(thm)],[])).
% 54.04/34.24 tff(14383,plain,
% 54.04/34.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB71, constB72)) | v178(constB71) | (~v180(constB72))),
% 54.04/34.24 inference(modus_ponens,[status(thm)],[14382, 14381])).
% 54.04/34.24 tff(14384,plain,
% 54.04/34.24 (v178(constB71) | (~v180(constB72))),
% 54.04/34.24 inference(unit_resolution,[status(thm)],[14383, 14317, 14380])).
% 54.04/34.24 tff(14385,plain,
% 54.04/34.24 (~v180(constB72)),
% 54.04/34.24 inference(unit_resolution,[status(thm)],[14384, 14377])).
% 54.04/34.24 tff(14386,plain,
% 54.04/34.24 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB72) | (~v181(constB72)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB72) | (~v181(constB72)))),
% 54.04/34.24 inference(rewrite,[status(thm)],[])).
% 54.04/34.24 tff(14387,plain,
% 54.04/34.24 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB72) | (~v181(constB72)))),
% 54.04/34.24 inference(quant_inst,[status(thm)],[])).
% 54.04/34.24 tff(14388,plain,
% 54.04/34.24 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB72) | (~v181(constB72))),
% 54.04/34.24 inference(modus_ponens,[status(thm)],[14387, 14386])).
% 54.04/34.24 tff(14389,plain,
% 54.04/34.24 (~v181(constB72)),
% 54.04/34.24 inference(unit_resolution,[status(thm)],[14388, 14332, 14385])).
% 54.04/34.24 tff(14390,plain,
% 54.04/34.24 (v1(constB72) <=> v1(constB72)),
% 54.04/34.24 inference(rewrite,[status(thm)],[])).
% 54.04/34.24 tff(14391,axiom,(v1(constB72)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_72_1')).
% 54.04/34.24 tff(14392,plain,
% 54.04/34.24 (v1(constB72)),
% 54.04/34.24 inference(modus_ponens,[status(thm)],[14391, 14390])).
% 54.04/34.24 tff(14393,plain,
% 54.04/34.24 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB72)) | (~v184(constB72)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB72)) | (~v184(constB72)))),
% 54.04/34.24 inference(rewrite,[status(thm)],[])).
% 54.04/34.24 tff(14394,plain,
% 54.04/34.24 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB72)) | (~v184(constB72)))),
% 54.04/34.24 inference(quant_inst,[status(thm)],[])).
% 54.04/34.24 tff(14395,plain,
% 54.04/34.24 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB72)) | (~v184(constB72))),
% 54.04/34.24 inference(modus_ponens,[status(thm)],[14394, 14393])).
% 54.04/34.24 tff(14396,plain,
% 54.04/34.24 (~v184(constB72)),
% 54.04/34.24 inference(unit_resolution,[status(thm)],[14395, 88, 14392])).
% 54.04/34.24 tff(14397,plain,
% 54.04/34.24 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB72) | (~v187(constB72)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB72) | (~v187(constB72)))),
% 54.04/34.24 inference(rewrite,[status(thm)],[])).
% 54.04/34.24 tff(14398,plain,
% 54.04/34.24 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB72) | (~v187(constB72)))),
% 54.04/34.24 inference(quant_inst,[status(thm)],[])).
% 54.04/34.24 tff(14399,plain,
% 54.04/34.24 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB72) | (~v187(constB72))),
% 54.04/34.24 inference(modus_ponens,[status(thm)],[14398, 14397])).
% 54.04/34.24 tff(14400,plain,
% 54.04/34.24 (~v187(constB72)),
% 54.04/34.24 inference(unit_resolution,[status(thm)],[14399, 14350, 14396])).
% 54.04/34.24 tff(14401,plain,
% 54.04/34.24 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB72) | (~v185(constB72)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB72) | (~v185(constB72)))),
% 54.04/34.24 inference(rewrite,[status(thm)],[])).
% 54.04/34.24 tff(14402,plain,
% 54.04/34.24 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB72) | (~v185(constB72)))),
% 54.04/34.24 inference(quant_inst,[status(thm)],[])).
% 54.04/34.24 tff(14403,plain,
% 54.04/34.24 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB72) | (~v185(constB72))),
% 54.04/34.24 inference(modus_ponens,[status(thm)],[14402, 14401])).
% 54.04/34.24 tff(14404,plain,
% 54.04/34.24 (~v185(constB72)),
% 54.04/34.24 inference(unit_resolution,[status(thm)],[14403, 14085, 14400])).
% 54.04/34.24 tff(14405,plain,
% 54.04/34.24 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB72) | v185(constB72) | (~v178(constB72)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB72) | v185(constB72) | (~v178(constB72)))),
% 54.04/34.24 inference(rewrite,[status(thm)],[])).
% 54.04/34.24 tff(14406,plain,
% 54.04/34.24 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB72) | v185(constB72) | (~v178(constB72)))),
% 54.04/34.24 inference(quant_inst,[status(thm)],[])).
% 54.04/34.24 tff(14407,plain,
% 54.04/34.24 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB72) | v185(constB72) | (~v178(constB72))),
% 54.04/34.24 inference(modus_ponens,[status(thm)],[14406, 14405])).
% 54.04/34.24 tff(14408,plain,
% 54.04/34.24 (v181(constB72) | (~v178(constB72))),
% 54.04/34.24 inference(unit_resolution,[status(thm)],[14407, 14302, 14404])).
% 54.04/34.24 tff(14409,plain,
% 54.04/34.24 (~v178(constB72)),
% 54.04/34.24 inference(unit_resolution,[status(thm)],[14408, 14389])).
% 54.04/34.24 tff(14410,plain,
% 54.04/34.24 (nextState(constB72, constB73) <=> nextState(constB72, constB73)),
% 54.04/34.24 inference(rewrite,[status(thm)],[])).
% 54.04/34.24 tff(14411,axiom,(nextState(constB72, constB73)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_72_1')).
% 54.04/34.24 tff(14412,plain,
% 54.04/34.24 (nextState(constB72, constB73)),
% 54.04/34.24 inference(modus_ponens,[status(thm)],[14411, 14410])).
% 54.04/34.24 tff(14413,plain,
% 54.04/34.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB72, constB73)) | v178(constB72) | (~v180(constB73)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB72, constB73)) | v178(constB72) | (~v180(constB73)))),
% 54.04/34.24 inference(rewrite,[status(thm)],[])).
% 54.04/34.24 tff(14414,plain,
% 54.04/34.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB72, constB73)) | v178(constB72) | (~v180(constB73)))),
% 54.04/34.24 inference(quant_inst,[status(thm)],[])).
% 54.04/34.24 tff(14415,plain,
% 54.04/34.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB72, constB73)) | v178(constB72) | (~v180(constB73))),
% 54.04/34.24 inference(modus_ponens,[status(thm)],[14414, 14413])).
% 54.04/34.24 tff(14416,plain,
% 54.04/34.24 (v178(constB72) | (~v180(constB73))),
% 54.04/34.24 inference(unit_resolution,[status(thm)],[14415, 14317, 14412])).
% 54.04/34.24 tff(14417,plain,
% 54.04/34.24 (~v180(constB73)),
% 54.04/34.24 inference(unit_resolution,[status(thm)],[14416, 14409])).
% 54.04/34.24 tff(14418,plain,
% 54.04/34.24 ($false),
% 54.04/34.24 inference(unit_resolution,[status(thm)],[14417, 820])).
% 54.04/34.24 tff(14419,plain,((~(constB73 = sK_VarCurr)) | (~v180(sK_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 54.04/34.24 tff(14420,plain,
% 54.04/34.24 (~(constB73 = sK_VarCurr)),
% 54.04/34.24 inference(unit_resolution,[status(thm)],[14419, 815])).
% 54.04/34.24 tff(14421,assumption,(constB151 = sK_VarCurr), introduced(assumption)).
% 54.04/34.24 tff(14422,plain,
% 54.04/34.24 (v180(constB151) <=> v180(sK_VarCurr)),
% 54.04/34.24 inference(monotonicity,[status(thm)],[14421])).
% 54.04/34.24 tff(14423,plain,
% 54.04/34.24 (v180(sK_VarCurr) <=> v180(constB151)),
% 54.04/34.24 inference(symmetry,[status(thm)],[14422])).
% 54.04/34.24 tff(14424,plain,
% 54.04/34.24 (v180(constB151)),
% 54.04/34.24 inference(modus_ponens,[status(thm)],[819, 14423])).
% 54.04/34.24 tff(14425,assumption,(v26(constB79)), introduced(assumption)).
% 54.04/34.24 tff(14426,plain,
% 54.04/34.24 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB79))),
% 54.04/34.24 inference(quant_inst,[status(thm)],[])).
% 54.04/34.24 tff(14427,plain,
% 54.04/34.24 ($false),
% 54.04/34.24 inference(unit_resolution,[status(thm)],[14426, 828, 14425])).
% 54.04/34.24 tff(14428,plain,(~v26(constB79)), inference(lemma,lemma(discharge,[]))).
% 54.04/34.24 tff(14429,plain,
% 54.04/34.24 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB71, 0)) | v90(constB71, 1) | (~v90(constB71, 2)) | v124(constB71))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB71, 0)) | v90(constB71, 1) | (~v90(constB71, 2)) | v124(constB71))),
% 54.04/34.24 inference(rewrite,[status(thm)],[])).
% 54.04/34.24 tff(14430,plain,
% 54.04/34.24 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB71, 0)) | v90(constB71, 1) | (~v90(constB71, 2)) | v124(constB71))),
% 54.04/34.24 inference(quant_inst,[status(thm)],[])).
% 54.04/34.24 tff(14431,plain,
% 54.04/34.24 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB71, 0)) | v90(constB71, 1) | (~v90(constB71, 2)) | v124(constB71)),
% 54.04/34.24 inference(modus_ponens,[status(thm)],[14430, 14429])).
% 54.04/34.24 tff(14432,plain,
% 54.04/34.24 (v124(constB71)),
% 54.04/34.24 inference(unit_resolution,[status(thm)],[14431, 2663, 13896, 13991, 13843])).
% 54.04/34.24 tff(14433,plain,
% 54.04/34.24 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB71) | (~v124(constB71)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB71) | (~v124(constB71)))),
% 54.04/34.24 inference(rewrite,[status(thm)],[])).
% 54.04/34.24 tff(14434,plain,
% 54.04/34.24 (((~v124(constB71)) | v114(constB71)) <=> (v114(constB71) | (~v124(constB71)))),
% 54.04/34.24 inference(rewrite,[status(thm)],[])).
% 54.04/34.24 tff(14435,plain,
% 54.04/34.24 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB71)) | v114(constB71))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB71) | (~v124(constB71))))),
% 54.04/34.24 inference(monotonicity,[status(thm)],[14434])).
% 54.04/34.24 tff(14436,plain,
% 54.04/34.24 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB71)) | v114(constB71))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB71) | (~v124(constB71)))),
% 54.04/34.24 inference(transitivity,[status(thm)],[14435, 14433])).
% 54.04/34.24 tff(14437,plain,
% 54.04/34.24 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB71)) | v114(constB71))),
% 54.04/34.24 inference(quant_inst,[status(thm)],[])).
% 54.04/34.24 tff(14438,plain,
% 54.04/34.24 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB71) | (~v124(constB71))),
% 54.04/34.24 inference(modus_ponens,[status(thm)],[14437, 14436])).
% 54.04/34.24 tff(14439,plain,
% 54.04/34.24 (v114(constB71)),
% 54.04/34.24 inference(unit_resolution,[status(thm)],[14438, 2674, 14432])).
% 54.04/34.24 tff(14440,plain,
% 54.04/34.24 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB71) | (~v114(constB71)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB71) | (~v114(constB71)))),
% 54.04/34.24 inference(rewrite,[status(thm)],[])).
% 54.04/34.24 tff(14441,plain,
% 54.04/34.24 (((~v114(constB71)) | v113(constB71)) <=> (v113(constB71) | (~v114(constB71)))),
% 54.04/34.24 inference(rewrite,[status(thm)],[])).
% 54.04/34.24 tff(14442,plain,
% 54.04/34.24 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB71)) | v113(constB71))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB71) | (~v114(constB71))))),
% 54.04/34.24 inference(monotonicity,[status(thm)],[14441])).
% 54.04/34.24 tff(14443,plain,
% 54.04/34.24 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB71)) | v113(constB71))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB71) | (~v114(constB71)))),
% 54.04/34.24 inference(transitivity,[status(thm)],[14442, 14440])).
% 54.04/34.24 tff(14444,plain,
% 54.04/34.24 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB71)) | v113(constB71))),
% 54.04/34.24 inference(quant_inst,[status(thm)],[])).
% 54.04/34.24 tff(14445,plain,
% 54.04/34.24 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB71) | (~v114(constB71))),
% 54.04/34.24 inference(modus_ponens,[status(thm)],[14444, 14443])).
% 54.04/34.24 tff(14446,plain,
% 54.04/34.24 (v113(constB71)),
% 54.04/34.24 inference(unit_resolution,[status(thm)],[14445, 1049, 14439])).
% 54.04/34.24 tff(14447,assumption,(v26(constB71)), introduced(assumption)).
% 54.04/34.24 tff(14448,plain,
% 54.04/34.24 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB71))),
% 54.04/34.24 inference(quant_inst,[status(thm)],[])).
% 54.04/34.24 tff(14449,plain,
% 54.04/34.24 ($false),
% 54.04/34.24 inference(unit_resolution,[status(thm)],[14448, 828, 14447])).
% 54.04/34.24 tff(14450,plain,(~v26(constB71)), inference(lemma,lemma(discharge,[]))).
% 54.04/34.24 tff(14451,plain,
% 54.04/34.24 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB71) | (~v113(constB71)) | v112(constB71))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB71) | (~v113(constB71)) | v112(constB71))),
% 54.04/34.24 inference(rewrite,[status(thm)],[])).
% 54.04/34.24 tff(14452,plain,
% 54.04/34.24 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB71) | (~v113(constB71)) | v112(constB71))),
% 54.04/34.24 inference(quant_inst,[status(thm)],[])).
% 54.04/34.24 tff(14453,plain,
% 54.04/34.24 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB71) | (~v113(constB71)) | v112(constB71)),
% 54.04/34.24 inference(modus_ponens,[status(thm)],[14452, 14451])).
% 54.04/34.24 tff(14454,plain,
% 54.04/34.24 ((~v113(constB71)) | v112(constB71)),
% 54.04/34.24 inference(unit_resolution,[status(thm)],[14453, 1063, 14450])).
% 54.04/34.24 tff(14455,plain,
% 54.04/34.24 (v112(constB71)),
% 54.04/34.24 inference(unit_resolution,[status(thm)],[14454, 14446])).
% 54.04/34.24 tff(14456,plain,
% 54.04/34.24 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB71) | (~v112(constB71)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB71) | (~v112(constB71)))),
% 54.04/34.24 inference(rewrite,[status(thm)],[])).
% 54.04/34.24 tff(14457,plain,
% 54.04/34.24 (((~v112(constB71)) | v108(constB71)) <=> (v108(constB71) | (~v112(constB71)))),
% 54.04/34.24 inference(rewrite,[status(thm)],[])).
% 54.04/34.24 tff(14458,plain,
% 54.04/34.24 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB71)) | v108(constB71))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB71) | (~v112(constB71))))),
% 54.04/34.24 inference(monotonicity,[status(thm)],[14457])).
% 54.04/34.24 tff(14459,plain,
% 54.04/34.24 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB71)) | v108(constB71))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB71) | (~v112(constB71)))),
% 54.04/34.24 inference(transitivity,[status(thm)],[14458, 14456])).
% 54.04/34.24 tff(14460,plain,
% 54.04/34.24 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB71)) | v108(constB71))),
% 54.04/34.24 inference(quant_inst,[status(thm)],[])).
% 54.04/34.24 tff(14461,plain,
% 54.04/34.24 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB71) | (~v112(constB71))),
% 54.04/34.24 inference(modus_ponens,[status(thm)],[14460, 14459])).
% 54.04/34.24 tff(14462,plain,
% 54.04/34.24 (v108(constB71)),
% 54.04/34.24 inference(unit_resolution,[status(thm)],[14461, 1075, 14455])).
% 54.08/34.24 tff(14463,plain,
% 54.08/34.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71)))),
% 54.08/34.24 inference(rewrite,[status(thm)],[])).
% 54.08/34.24 tff(14464,plain,
% 54.08/34.24 (((~nextState(constB71, constB72)) | (~v108(constB71)) | v110(constB72)) <=> ((~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71)))),
% 54.08/34.24 inference(rewrite,[status(thm)],[])).
% 54.08/34.24 tff(14465,plain,
% 54.08/34.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB71, constB72)) | (~v108(constB71)) | v110(constB72))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71))))),
% 54.08/34.24 inference(monotonicity,[status(thm)],[14464])).
% 54.08/34.24 tff(14466,plain,
% 54.08/34.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB71, constB72)) | (~v108(constB71)) | v110(constB72))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71)))),
% 54.08/34.24 inference(transitivity,[status(thm)],[14465, 14463])).
% 54.08/34.24 tff(14467,plain,
% 54.08/34.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB71, constB72)) | (~v108(constB71)) | v110(constB72))),
% 54.08/34.24 inference(quant_inst,[status(thm)],[])).
% 54.08/34.24 tff(14468,plain,
% 54.08/34.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB71, constB72)) | v110(constB72) | (~v108(constB71))),
% 54.08/34.24 inference(modus_ponens,[status(thm)],[14467, 14466])).
% 54.08/34.24 tff(14469,plain,
% 54.08/34.24 (v110(constB72) | (~v108(constB71))),
% 54.08/34.24 inference(unit_resolution,[status(thm)],[14468, 1095, 14380])).
% 54.08/34.24 tff(14470,plain,
% 54.08/34.24 (v110(constB72)),
% 54.08/34.24 inference(unit_resolution,[status(thm)],[14469, 14462])).
% 54.08/34.24 tff(14471,plain,
% 54.08/34.24 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB71) | (~nextState(constB71, constB72)) | (~v104(constB72)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB71) | (~nextState(constB71, constB72)) | (~v104(constB72)))),
% 54.08/34.24 inference(rewrite,[status(thm)],[])).
% 54.08/34.24 tff(14472,plain,
% 54.08/34.24 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB71) | (~nextState(constB71, constB72)) | (~v104(constB72)))),
% 54.08/34.24 inference(quant_inst,[status(thm)],[])).
% 54.08/34.24 tff(14473,plain,
% 54.08/34.24 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB71) | (~nextState(constB71, constB72)) | (~v104(constB72))),
% 54.08/34.24 inference(modus_ponens,[status(thm)],[14472, 14471])).
% 54.08/34.24 tff(14474,plain,
% 54.08/34.24 (~v104(constB72)),
% 54.08/34.24 inference(unit_resolution,[status(thm)],[14473, 1113, 14380, 13819])).
% 54.08/34.24 tff(14475,plain,
% 54.08/34.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB71, constB72)) | v102(constB72) | v104(constB72))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB71, constB72)) | v102(constB72) | v104(constB72))),
% 54.08/34.24 inference(rewrite,[status(thm)],[])).
% 54.08/34.24 tff(14476,plain,
% 54.08/34.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB71, constB72)) | v102(constB72) | v104(constB72))),
% 54.08/34.24 inference(quant_inst,[status(thm)],[])).
% 54.08/34.24 tff(14477,plain,
% 54.08/34.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB71, constB72)) | v102(constB72) | v104(constB72)),
% 54.08/34.24 inference(modus_ponens,[status(thm)],[14476, 14475])).
% 54.08/34.24 tff(14478,plain,
% 54.08/34.24 (v102(constB72) | v104(constB72)),
% 54.08/34.24 inference(unit_resolution,[status(thm)],[14477, 1127, 14380])).
% 54.08/34.24 tff(14479,plain,
% 54.08/34.24 (v102(constB72)),
% 54.08/34.24 inference(unit_resolution,[status(thm)],[14478, 14474])).
% 54.08/34.24 tff(14480,plain,
% 54.08/34.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB71, constB72)) | v101(constB72) | (~v102(constB72)) | (~v1(constB72)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB71, constB72)) | v101(constB72) | (~v102(constB72)) | (~v1(constB72)))),
% 54.08/34.24 inference(rewrite,[status(thm)],[])).
% 54.08/34.24 tff(14481,plain,
% 54.08/34.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB71, constB72)) | v101(constB72) | (~v102(constB72)) | (~v1(constB72)))),
% 54.08/34.24 inference(quant_inst,[status(thm)],[])).
% 54.08/34.24 tff(14482,plain,
% 54.08/34.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB71, constB72)) | v101(constB72) | (~v102(constB72)) | (~v1(constB72))),
% 54.08/34.24 inference(modus_ponens,[status(thm)],[14481, 14480])).
% 54.08/34.24 tff(14483,plain,
% 54.08/34.24 (v101(constB72) | (~v102(constB72))),
% 54.08/34.24 inference(unit_resolution,[status(thm)],[14482, 1145, 14380, 14392])).
% 54.08/34.24 tff(14484,plain,
% 54.08/34.24 (v101(constB72)),
% 54.08/34.24 inference(unit_resolution,[status(thm)],[14483, 14479])).
% 54.08/34.24 tff(14485,plain,
% 54.08/34.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72)))),
% 54.08/34.24 inference(rewrite,[status(thm)],[])).
% 54.08/34.24 tff(14486,plain,
% 54.08/34.24 (((~nextState(constB71, constB72)) | (~v101(constB72)) | (~v110(constB72)) | v100(constB72)) <=> ((~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72)))),
% 54.08/34.24 inference(rewrite,[status(thm)],[])).
% 54.08/34.24 tff(14487,plain,
% 54.08/34.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | (~v101(constB72)) | (~v110(constB72)) | v100(constB72))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72))))),
% 54.08/34.24 inference(monotonicity,[status(thm)],[14486])).
% 54.08/34.24 tff(14488,plain,
% 54.08/34.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | (~v101(constB72)) | (~v110(constB72)) | v100(constB72))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72)))),
% 54.08/34.24 inference(transitivity,[status(thm)],[14487, 14485])).
% 54.08/34.24 tff(14489,plain,
% 54.08/34.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB71, constB72)) | (~v101(constB72)) | (~v110(constB72)) | v100(constB72))),
% 54.08/34.24 inference(quant_inst,[status(thm)],[])).
% 54.08/34.24 tff(14490,plain,
% 54.08/34.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB71, constB72)) | v100(constB72) | (~v101(constB72)) | (~v110(constB72))),
% 54.08/34.24 inference(modus_ponens,[status(thm)],[14489, 14488])).
% 54.08/34.24 tff(14491,plain,
% 54.08/34.24 (v100(constB72) | (~v101(constB72)) | (~v110(constB72))),
% 54.08/34.24 inference(unit_resolution,[status(thm)],[14490, 1160, 14380])).
% 54.08/34.24 tff(14492,plain,
% 54.08/34.24 (v100(constB72) | (~v110(constB72))),
% 54.08/34.24 inference(unit_resolution,[status(thm)],[14491, 14484])).
% 54.08/34.24 tff(14493,plain,
% 54.08/34.24 (v100(constB72)),
% 54.08/34.24 inference(unit_resolution,[status(thm)],[14492, 14470])).
% 54.08/34.24 tff(14494,plain,
% 54.08/34.24 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB71)) | v130(constB71, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB71)) | v130(constB71, 2))),
% 54.08/34.24 inference(rewrite,[status(thm)],[])).
% 54.08/34.24 tff(14495,plain,
% 54.08/34.24 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB71)) | v130(constB71, 2))),
% 54.08/34.24 inference(quant_inst,[status(thm)],[])).
% 54.08/34.24 tff(14496,plain,
% 54.08/34.24 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB71)) | v130(constB71, 2)),
% 54.08/34.24 inference(modus_ponens,[status(thm)],[14495, 14494])).
% 54.08/34.24 tff(14497,plain,
% 54.08/34.24 (v130(constB71, 2)),
% 54.08/34.24 inference(unit_resolution,[status(thm)],[14496, 2741, 14432])).
% 54.08/34.24 tff(14498,plain,
% 54.08/34.24 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB71) | (~v130(constB71, 2)) | v127(constB71, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB71) | (~v130(constB71, 2)) | v127(constB71, 2))),
% 54.08/34.24 inference(rewrite,[status(thm)],[])).
% 54.08/34.24 tff(14499,plain,
% 54.08/34.24 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB71) | (~v130(constB71, 2)) | v127(constB71, 2))),
% 54.08/34.24 inference(quant_inst,[status(thm)],[])).
% 54.08/34.24 tff(14500,plain,
% 54.08/34.24 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB71) | (~v130(constB71, 2)) | v127(constB71, 2)),
% 54.08/34.24 inference(modus_ponens,[status(thm)],[14499, 14498])).
% 54.08/34.24 tff(14501,plain,
% 54.08/34.24 ((~v130(constB71, 2)) | v127(constB71, 2)),
% 54.08/34.24 inference(unit_resolution,[status(thm)],[14500, 1981, 14450])).
% 54.08/34.24 tff(14502,plain,
% 54.08/34.24 (v127(constB71, 2)),
% 54.08/34.24 inference(unit_resolution,[status(thm)],[14501, 14497])).
% 54.08/34.24 tff(14503,plain,
% 54.08/34.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB71, constB72)) | (~v127(constB71, 2)) | v129(constB72, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB71, constB72)) | (~v127(constB71, 2)) | v129(constB72, 2))),
% 54.08/34.24 inference(rewrite,[status(thm)],[])).
% 54.08/34.24 tff(14504,plain,
% 54.08/34.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB71, constB72)) | (~v127(constB71, 2)) | v129(constB72, 2))),
% 54.08/34.24 inference(quant_inst,[status(thm)],[])).
% 54.08/34.24 tff(14505,plain,
% 54.08/34.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB71, constB72)) | (~v127(constB71, 2)) | v129(constB72, 2)),
% 54.08/34.24 inference(modus_ponens,[status(thm)],[14504, 14503])).
% 54.08/34.24 tff(14506,plain,
% 54.08/34.24 ((~v127(constB71, 2)) | v129(constB72, 2)),
% 54.08/34.24 inference(unit_resolution,[status(thm)],[14505, 1999, 14380])).
% 54.08/34.24 tff(14507,plain,
% 54.08/34.24 (v129(constB72, 2)),
% 54.08/34.24 inference(unit_resolution,[status(thm)],[14506, 14502])).
% 54.08/34.24 tff(14508,plain,
% 54.08/34.24 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB72, 2) | (~v129(constB72, 2)) | (~v100(constB72)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB72, 2) | (~v129(constB72, 2)) | (~v100(constB72)))),
% 54.08/34.24 inference(rewrite,[status(thm)],[])).
% 54.08/34.24 tff(14509,plain,
% 54.08/34.24 ((v90(constB72, 2) | (~v100(constB72)) | (~v129(constB72, 2))) <=> (v90(constB72, 2) | (~v129(constB72, 2)) | (~v100(constB72)))),
% 54.08/34.24 inference(rewrite,[status(thm)],[])).
% 54.08/34.24 tff(14510,plain,
% 54.08/34.24 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB72, 2) | (~v100(constB72)) | (~v129(constB72, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB72, 2) | (~v129(constB72, 2)) | (~v100(constB72))))),
% 54.08/34.24 inference(monotonicity,[status(thm)],[14509])).
% 54.08/34.24 tff(14511,plain,
% 54.08/34.24 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB72, 2) | (~v100(constB72)) | (~v129(constB72, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB72, 2) | (~v129(constB72, 2)) | (~v100(constB72)))),
% 54.08/34.24 inference(transitivity,[status(thm)],[14510, 14508])).
% 54.08/34.24 tff(14512,plain,
% 54.08/34.24 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB72, 2) | (~v100(constB72)) | (~v129(constB72, 2)))),
% 54.08/34.24 inference(quant_inst,[status(thm)],[])).
% 54.08/34.24 tff(14513,plain,
% 54.08/34.24 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB72, 2) | (~v129(constB72, 2)) | (~v100(constB72))),
% 54.08/34.24 inference(modus_ponens,[status(thm)],[14512, 14511])).
% 54.08/34.24 tff(14514,plain,
% 54.08/34.24 (v90(constB72, 2) | (~v100(constB72))),
% 54.08/34.24 inference(unit_resolution,[status(thm)],[14513, 2324, 14507])).
% 54.08/34.24 tff(14515,plain,
% 54.08/34.24 (v90(constB72, 2)),
% 54.08/34.24 inference(unit_resolution,[status(thm)],[14514, 14493])).
% 54.08/34.24 tff(14516,plain,
% 54.08/34.24 ((~v1(constB73)) <=> (~v1(constB73))),
% 54.08/34.24 inference(rewrite,[status(thm)],[])).
% 54.08/34.24 tff(14517,axiom,(~v1(constB73)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_73_1_1')).
% 54.08/34.24 tff(14518,plain,
% 54.08/34.24 (~v1(constB73)),
% 54.08/34.24 inference(modus_ponens,[status(thm)],[14517, 14516])).
% 54.08/34.24 tff(14519,plain,
% 54.08/34.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73)))),
% 54.08/34.24 inference(rewrite,[status(thm)],[])).
% 54.08/34.24 tff(14520,plain,
% 54.08/34.24 (((~nextState(constB72, constB73)) | (~v101(constB73)) | v1(constB73)) <=> (v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73)))),
% 54.08/34.24 inference(rewrite,[status(thm)],[])).
% 54.08/34.24 tff(14521,plain,
% 54.08/34.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB72, constB73)) | (~v101(constB73)) | v1(constB73))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73))))),
% 54.08/34.24 inference(monotonicity,[status(thm)],[14520])).
% 54.08/34.24 tff(14522,plain,
% 54.08/34.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB72, constB73)) | (~v101(constB73)) | v1(constB73))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73)))),
% 54.08/34.24 inference(transitivity,[status(thm)],[14521, 14519])).
% 54.08/34.24 tff(14523,plain,
% 54.08/34.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB72, constB73)) | (~v101(constB73)) | v1(constB73))),
% 54.08/34.24 inference(quant_inst,[status(thm)],[])).
% 54.08/34.24 tff(14524,plain,
% 54.08/34.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB73) | (~nextState(constB72, constB73)) | (~v101(constB73))),
% 54.08/34.24 inference(modus_ponens,[status(thm)],[14523, 14522])).
% 54.08/34.24 tff(14525,plain,
% 54.08/34.24 (~v101(constB73)),
% 54.08/34.24 inference(unit_resolution,[status(thm)],[14524, 873, 14412, 14518])).
% 54.08/34.24 tff(14526,plain,
% 54.08/34.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB72, constB73)) | v101(constB73) | (~v100(constB73)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB72, constB73)) | v101(constB73) | (~v100(constB73)))),
% 54.08/34.24 inference(rewrite,[status(thm)],[])).
% 54.08/34.24 tff(14527,plain,
% 54.08/34.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB72, constB73)) | v101(constB73) | (~v100(constB73)))),
% 54.08/34.24 inference(quant_inst,[status(thm)],[])).
% 54.08/34.24 tff(14528,plain,
% 54.08/34.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB72, constB73)) | v101(constB73) | (~v100(constB73))),
% 54.08/34.24 inference(modus_ponens,[status(thm)],[14527, 14526])).
% 54.08/34.24 tff(14529,plain,
% 54.08/34.24 (v101(constB73) | (~v100(constB73))),
% 54.08/34.24 inference(unit_resolution,[status(thm)],[14528, 890, 14412])).
% 54.08/34.24 tff(14530,plain,
% 54.08/34.24 (~v100(constB73)),
% 54.08/34.24 inference(unit_resolution,[status(thm)],[14529, 14525])).
% 54.08/34.24 tff(14531,plain,
% 54.08/34.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB72, 2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB72, 2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, 2))),
% 54.08/34.24 inference(rewrite,[status(thm)],[])).
% 54.08/34.24 tff(14532,plain,
% 54.08/34.24 (((~nextState(constB72, constB73)) | (~v90(constB72, 2)) | v100(constB73) | v90(constB73, 2)) <=> ((~v90(constB72, 2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, 2))),
% 54.08/34.24 inference(rewrite,[status(thm)],[])).
% 54.08/34.24 tff(14533,plain,
% 54.08/34.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB72, constB73)) | (~v90(constB72, 2)) | v100(constB73) | v90(constB73, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB72, 2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, 2)))),
% 54.08/34.24 inference(monotonicity,[status(thm)],[14532])).
% 54.08/34.24 tff(14534,plain,
% 54.08/34.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB72, constB73)) | (~v90(constB72, 2)) | v100(constB73) | v90(constB73, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB72, 2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, 2))),
% 54.08/34.24 inference(transitivity,[status(thm)],[14533, 14531])).
% 54.08/34.24 tff(14535,plain,
% 54.08/34.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB72, constB73)) | (~v90(constB72, 2)) | v100(constB73) | v90(constB73, 2))),
% 54.08/34.24 inference(quant_inst,[status(thm)],[])).
% 54.08/34.24 tff(14536,plain,
% 54.08/34.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB72, 2)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, 2)),
% 54.08/34.24 inference(modus_ponens,[status(thm)],[14535, 14534])).
% 54.08/34.24 tff(14537,plain,
% 54.08/34.24 ((~v90(constB72, 2)) | v100(constB73) | v90(constB73, 2)),
% 54.08/34.24 inference(unit_resolution,[status(thm)],[14536, 2174, 14412])).
% 54.08/34.24 tff(14538,plain,
% 54.08/34.24 ((~v90(constB72, 2)) | v90(constB73, 2)),
% 54.08/34.24 inference(unit_resolution,[status(thm)],[14537, 14530])).
% 54.08/34.24 tff(14539,plain,
% 54.08/34.24 (v90(constB73, 2)),
% 54.08/34.24 inference(unit_resolution,[status(thm)],[14538, 14515])).
% 54.08/34.24 tff(14540,plain,
% 54.08/34.24 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB73)) | (~v90(constB73, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB73)) | (~v90(constB73, 2)))),
% 54.08/34.24 inference(rewrite,[status(thm)],[])).
% 54.08/34.24 tff(14541,plain,
% 54.08/34.24 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB73)) | (~v90(constB73, 2)))),
% 54.08/34.24 inference(quant_inst,[status(thm)],[])).
% 54.08/34.24 tff(14542,plain,
% 54.08/34.24 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB73)) | (~v90(constB73, 2))),
% 54.08/34.24 inference(modus_ponens,[status(thm)],[14541, 14540])).
% 54.08/34.24 tff(14543,plain,
% 54.08/34.24 (~v121(constB73)),
% 54.08/34.24 inference(unit_resolution,[status(thm)],[14542, 2857, 14539])).
% 54.08/34.24 tff(14544,plain,
% 54.08/34.24 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB73)) | (~v90(constB73, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB73)) | (~v90(constB73, 2)))),
% 54.08/34.24 inference(rewrite,[status(thm)],[])).
% 54.08/34.24 tff(14545,plain,
% 54.08/34.24 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB73)) | (~v90(constB73, 2)))),
% 54.08/34.24 inference(quant_inst,[status(thm)],[])).
% 54.08/34.24 tff(14546,plain,
% 54.08/34.24 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB73)) | (~v90(constB73, 2))),
% 54.08/34.24 inference(modus_ponens,[status(thm)],[14545, 14544])).
% 54.08/34.24 tff(14547,plain,
% 54.08/34.24 (~v122(constB73)),
% 54.08/34.24 inference(unit_resolution,[status(thm)],[14546, 2797, 14539])).
% 54.08/34.24 tff(14548,plain,
% 54.08/34.24 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB71)) | v130(constB71, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB71)) | v130(constB71, 1))),
% 54.08/34.24 inference(rewrite,[status(thm)],[])).
% 54.08/34.24 tff(14549,plain,
% 54.08/34.24 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB71)) | v130(constB71, 1))),
% 54.08/34.24 inference(quant_inst,[status(thm)],[])).
% 54.08/34.24 tff(14550,plain,
% 54.08/34.24 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB71)) | v130(constB71, 1)),
% 54.08/34.24 inference(modus_ponens,[status(thm)],[14549, 14548])).
% 54.08/34.24 tff(14551,plain,
% 54.08/34.24 (v130(constB71, 1)),
% 54.08/34.24 inference(unit_resolution,[status(thm)],[14550, 2808, 14432])).
% 54.08/34.24 tff(14552,plain,
% 54.08/34.24 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB71) | (~v130(constB71, 1)) | v127(constB71, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB71) | (~v130(constB71, 1)) | v127(constB71, 1))),
% 54.08/34.24 inference(rewrite,[status(thm)],[])).
% 54.08/34.24 tff(14553,plain,
% 54.08/34.24 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB71) | (~v130(constB71, 1)) | v127(constB71, 1))),
% 54.08/34.24 inference(quant_inst,[status(thm)],[])).
% 54.08/34.24 tff(14554,plain,
% 54.08/34.24 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB71) | (~v130(constB71, 1)) | v127(constB71, 1)),
% 54.08/34.24 inference(modus_ponens,[status(thm)],[14553, 14552])).
% 54.08/34.24 tff(14555,plain,
% 54.08/34.24 ((~v130(constB71, 1)) | v127(constB71, 1)),
% 54.08/34.24 inference(unit_resolution,[status(thm)],[14554, 1593, 14450])).
% 54.08/34.24 tff(14556,plain,
% 54.08/34.24 (v127(constB71, 1)),
% 54.08/34.24 inference(unit_resolution,[status(thm)],[14555, 14551])).
% 54.08/34.24 tff(14557,plain,
% 54.08/34.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB71, constB72)) | (~v127(constB71, 1)) | v129(constB72, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB71, constB72)) | (~v127(constB71, 1)) | v129(constB72, 1))),
% 54.08/34.24 inference(rewrite,[status(thm)],[])).
% 54.08/34.24 tff(14558,plain,
% 54.08/34.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB71, constB72)) | (~v127(constB71, 1)) | v129(constB72, 1))),
% 54.08/34.24 inference(quant_inst,[status(thm)],[])).
% 54.08/34.24 tff(14559,plain,
% 54.08/34.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB71, constB72)) | (~v127(constB71, 1)) | v129(constB72, 1)),
% 54.08/34.24 inference(modus_ponens,[status(thm)],[14558, 14557])).
% 54.08/34.24 tff(14560,plain,
% 54.08/34.24 ((~v127(constB71, 1)) | v129(constB72, 1)),
% 54.08/34.24 inference(unit_resolution,[status(thm)],[14559, 1608, 14380])).
% 54.08/34.24 tff(14561,plain,
% 54.08/34.24 (v129(constB72, 1)),
% 54.08/34.24 inference(unit_resolution,[status(thm)],[14560, 14556])).
% 54.08/34.24 tff(14562,plain,
% 54.08/34.24 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB72, 1) | (~v129(constB72, 1)) | (~v100(constB72)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB72, 1) | (~v129(constB72, 1)) | (~v100(constB72)))),
% 54.08/34.24 inference(rewrite,[status(thm)],[])).
% 54.08/34.24 tff(14563,plain,
% 54.08/34.24 ((v90(constB72, 1) | (~v100(constB72)) | (~v129(constB72, 1))) <=> (v90(constB72, 1) | (~v129(constB72, 1)) | (~v100(constB72)))),
% 54.08/34.24 inference(rewrite,[status(thm)],[])).
% 54.08/34.24 tff(14564,plain,
% 54.08/34.24 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB72, 1) | (~v100(constB72)) | (~v129(constB72, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB72, 1) | (~v129(constB72, 1)) | (~v100(constB72))))),
% 54.08/34.24 inference(monotonicity,[status(thm)],[14563])).
% 54.08/34.24 tff(14565,plain,
% 54.08/34.24 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB72, 1) | (~v100(constB72)) | (~v129(constB72, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB72, 1) | (~v129(constB72, 1)) | (~v100(constB72)))),
% 54.08/34.24 inference(transitivity,[status(thm)],[14564, 14562])).
% 54.08/34.24 tff(14566,plain,
% 54.08/34.24 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB72, 1) | (~v100(constB72)) | (~v129(constB72, 1)))),
% 54.08/34.24 inference(quant_inst,[status(thm)],[])).
% 54.08/34.24 tff(14567,plain,
% 54.08/34.24 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB72, 1) | (~v129(constB72, 1)) | (~v100(constB72))),
% 54.08/34.24 inference(modus_ponens,[status(thm)],[14566, 14565])).
% 54.08/34.24 tff(14568,plain,
% 54.08/34.24 (v90(constB72, 1) | (~v100(constB72))),
% 54.08/34.24 inference(unit_resolution,[status(thm)],[14567, 1623, 14561])).
% 54.08/34.24 tff(14569,plain,
% 54.08/34.24 (v90(constB72, 1)),
% 54.08/34.24 inference(unit_resolution,[status(thm)],[14568, 14493])).
% 54.08/34.24 tff(14570,plain,
% 54.08/34.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB72, 1)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB72, 1)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, 1))),
% 54.08/34.24 inference(rewrite,[status(thm)],[])).
% 54.08/34.24 tff(14571,plain,
% 54.08/34.24 (((~nextState(constB72, constB73)) | (~v90(constB72, 1)) | v100(constB73) | v90(constB73, 1)) <=> ((~v90(constB72, 1)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, 1))),
% 54.08/34.24 inference(rewrite,[status(thm)],[])).
% 54.08/34.24 tff(14572,plain,
% 54.08/34.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB72, constB73)) | (~v90(constB72, 1)) | v100(constB73) | v90(constB73, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB72, 1)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, 1)))),
% 54.08/34.24 inference(monotonicity,[status(thm)],[14571])).
% 54.08/34.24 tff(14573,plain,
% 54.08/34.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB72, constB73)) | (~v90(constB72, 1)) | v100(constB73) | v90(constB73, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB72, 1)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, 1))),
% 54.08/34.25 inference(transitivity,[status(thm)],[14572, 14570])).
% 54.08/34.25 tff(14574,plain,
% 54.08/34.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB72, constB73)) | (~v90(constB72, 1)) | v100(constB73) | v90(constB73, 1))),
% 54.08/34.25 inference(quant_inst,[status(thm)],[])).
% 54.08/34.25 tff(14575,plain,
% 54.08/34.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB72, 1)) | (~nextState(constB72, constB73)) | v100(constB73) | v90(constB73, 1)),
% 54.08/34.25 inference(modus_ponens,[status(thm)],[14574, 14573])).
% 54.08/34.25 tff(14576,plain,
% 54.08/34.25 ((~v90(constB72, 1)) | v100(constB73) | v90(constB73, 1)),
% 54.08/34.25 inference(unit_resolution,[status(thm)],[14575, 1641, 14412])).
% 54.08/34.25 tff(14577,plain,
% 54.08/34.25 ((~v90(constB72, 1)) | v90(constB73, 1)),
% 54.08/34.25 inference(unit_resolution,[status(thm)],[14576, 14530])).
% 54.08/34.25 tff(14578,plain,
% 54.08/34.25 (v90(constB73, 1)),
% 54.08/34.25 inference(unit_resolution,[status(thm)],[14577, 14569])).
% 54.08/34.25 tff(14579,plain,
% 54.08/34.25 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB73)) | (~v90(constB73, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB73)) | (~v90(constB73, 1)))),
% 54.08/34.25 inference(rewrite,[status(thm)],[])).
% 54.08/34.25 tff(14580,plain,
% 54.08/34.25 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB73)) | (~v90(constB73, 1)))),
% 54.08/34.25 inference(quant_inst,[status(thm)],[])).
% 54.08/34.25 tff(14581,plain,
% 54.08/34.25 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB73)) | (~v90(constB73, 1))),
% 54.08/34.25 inference(modus_ponens,[status(thm)],[14580, 14579])).
% 54.08/34.25 tff(14582,plain,
% 54.08/34.25 (~v119(constB73)),
% 54.08/34.25 inference(unit_resolution,[status(thm)],[14581, 2868, 14578])).
% 54.08/34.25 tff(14583,plain,
% 54.08/34.25 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB73)) | (~v90(constB73, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB73)) | (~v90(constB73, 1)))),
% 54.08/34.25 inference(rewrite,[status(thm)],[])).
% 54.08/34.25 tff(14584,plain,
% 54.08/34.25 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB73)) | (~v90(constB73, 1)))),
% 54.08/34.25 inference(quant_inst,[status(thm)],[])).
% 54.08/34.25 tff(14585,plain,
% 54.08/34.25 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB73)) | (~v90(constB73, 1))),
% 54.08/34.25 inference(modus_ponens,[status(thm)],[14584, 14583])).
% 54.08/34.25 tff(14586,plain,
% 54.08/34.25 (~v120(constB73)),
% 54.08/34.25 inference(unit_resolution,[status(thm)],[14585, 2846, 14578])).
% 54.08/34.25 tff(14587,plain,
% 54.08/34.25 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB73)) | (~v90(constB73, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB73)) | (~v90(constB73, 1)))),
% 54.08/34.25 inference(rewrite,[status(thm)],[])).
% 54.08/34.25 tff(14588,plain,
% 54.08/34.25 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB73)) | (~v90(constB73, 1)))),
% 54.08/34.25 inference(quant_inst,[status(thm)],[])).
% 54.08/34.25 tff(14589,plain,
% 54.08/34.25 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB73)) | (~v90(constB73, 1))),
% 54.08/34.25 inference(modus_ponens,[status(thm)],[14588, 14587])).
% 54.08/34.25 tff(14590,plain,
% 54.08/34.25 (~v124(constB73)),
% 54.08/34.25 inference(unit_resolution,[status(thm)],[14589, 2890, 14578])).
% 54.08/34.25 tff(14591,plain,
% 54.08/34.25 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB73)) | (~v90(constB73, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB73)) | (~v90(constB73, 1)))),
% 54.08/34.25 inference(rewrite,[status(thm)],[])).
% 54.08/34.25 tff(14592,plain,
% 54.08/34.25 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB73)) | (~v90(constB73, 1)))),
% 54.08/34.25 inference(quant_inst,[status(thm)],[])).
% 54.08/34.25 tff(14593,plain,
% 54.08/34.25 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB73)) | (~v90(constB73, 1))),
% 54.08/34.25 inference(modus_ponens,[status(thm)],[14592, 14591])).
% 54.08/34.25 tff(14594,plain,
% 54.08/34.25 (~v123(constB73)),
% 54.08/34.25 inference(unit_resolution,[status(thm)],[14593, 2879, 14578])).
% 54.08/34.25 tff(14595,plain,
% 54.08/34.25 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, 2)))),
% 54.08/34.25 inference(rewrite,[status(thm)],[])).
% 54.08/34.25 tff(14596,plain,
% 54.08/34.25 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, 2)))),
% 54.08/34.25 inference(quant_inst,[status(thm)],[])).
% 54.08/34.25 tff(14597,plain,
% 54.08/34.25 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, 2))),
% 54.08/34.25 inference(modus_ponens,[status(thm)],[14596, 14595])).
% 54.08/34.25 tff(14598,plain,
% 54.08/34.25 (~v130(constB73, 2)),
% 54.08/34.25 inference(unit_resolution,[status(thm)],[14597, 2904, 14594, 14590, 14586, 14582, 14547, 14543])).
% 54.08/34.25 tff(14599,assumption,(v26(constB73)), introduced(assumption)).
% 54.08/34.25 tff(14600,plain,
% 54.08/34.25 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB73))),
% 54.08/34.25 inference(quant_inst,[status(thm)],[])).
% 54.08/34.25 tff(14601,plain,
% 54.08/34.25 ($false),
% 54.08/34.25 inference(unit_resolution,[status(thm)],[14600, 828, 14599])).
% 54.08/34.25 tff(14602,plain,(~v26(constB73)), inference(lemma,lemma(discharge,[]))).
% 54.08/34.25 tff(14603,plain,
% 54.08/34.25 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB73, 2)) | v26(constB73) | v130(constB73, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB73, 2)) | v26(constB73) | v130(constB73, 2))),
% 54.08/34.25 inference(rewrite,[status(thm)],[])).
% 54.08/34.25 tff(14604,plain,
% 54.08/34.25 ((v26(constB73) | v130(constB73, 2) | (~v127(constB73, 2))) <=> ((~v127(constB73, 2)) | v26(constB73) | v130(constB73, 2))),
% 54.08/34.25 inference(rewrite,[status(thm)],[])).
% 54.08/34.25 tff(14605,plain,
% 54.08/34.25 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB73) | v130(constB73, 2) | (~v127(constB73, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB73, 2)) | v26(constB73) | v130(constB73, 2)))),
% 54.08/34.25 inference(monotonicity,[status(thm)],[14604])).
% 54.08/34.25 tff(14606,plain,
% 54.08/34.25 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB73) | v130(constB73, 2) | (~v127(constB73, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB73, 2)) | v26(constB73) | v130(constB73, 2))),
% 54.08/34.25 inference(transitivity,[status(thm)],[14605, 14603])).
% 54.08/34.25 tff(14607,plain,
% 54.08/34.25 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB73) | v130(constB73, 2) | (~v127(constB73, 2)))),
% 54.08/34.25 inference(quant_inst,[status(thm)],[])).
% 54.08/34.25 tff(14608,plain,
% 54.08/34.25 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB73, 2)) | v26(constB73) | v130(constB73, 2)),
% 54.08/34.25 inference(modus_ponens,[status(thm)],[14607, 14606])).
% 54.08/34.25 tff(14609,plain,
% 54.08/34.25 ((~v127(constB73, 2)) | v130(constB73, 2)),
% 54.08/34.25 inference(unit_resolution,[status(thm)],[14608, 1190, 14602])).
% 54.08/34.25 tff(14610,plain,
% 54.08/34.25 (~v127(constB73, 2)),
% 54.08/34.25 inference(unit_resolution,[status(thm)],[14609, 14598])).
% 54.08/34.25 tff(14611,plain,
% 54.08/34.25 (nextState(constB73, constB74) <=> nextState(constB73, constB74)),
% 54.08/34.25 inference(rewrite,[status(thm)],[])).
% 54.08/34.25 tff(14612,axiom,(nextState(constB73, constB74)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_73_1')).
% 54.08/34.25 tff(14613,plain,
% 54.08/34.25 (nextState(constB73, constB74)),
% 54.08/34.25 inference(modus_ponens,[status(thm)],[14612, 14611])).
% 54.08/34.25 tff(14614,plain,
% 54.08/34.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB73, constB74)) | v127(constB73, 2) | (~v129(constB74, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB73, constB74)) | v127(constB73, 2) | (~v129(constB74, 2)))),
% 54.08/34.25 inference(rewrite,[status(thm)],[])).
% 54.08/34.25 tff(14615,plain,
% 54.08/34.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB73, constB74)) | v127(constB73, 2) | (~v129(constB74, 2)))),
% 54.08/34.25 inference(quant_inst,[status(thm)],[])).
% 54.08/34.25 tff(14616,plain,
% 54.08/34.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB73, constB74)) | v127(constB73, 2) | (~v129(constB74, 2))),
% 54.08/34.25 inference(modus_ponens,[status(thm)],[14615, 14614])).
% 54.08/34.25 tff(14617,plain,
% 54.08/34.25 (v127(constB73, 2) | (~v129(constB74, 2))),
% 54.08/34.25 inference(unit_resolution,[status(thm)],[14616, 1208, 14613])).
% 54.08/34.25 tff(14618,plain,
% 54.08/34.25 (~v129(constB74, 2)),
% 54.08/34.25 inference(unit_resolution,[status(thm)],[14617, 14610])).
% 54.08/34.25 tff(14619,plain,
% 54.08/34.25 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB71)) | (~v130(constB71, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB71)) | (~v130(constB71, 0)))),
% 54.08/34.25 inference(rewrite,[status(thm)],[])).
% 54.08/34.25 tff(14620,plain,
% 54.08/34.25 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB71)) | (~v130(constB71, 0)))),
% 54.08/34.25 inference(quant_inst,[status(thm)],[])).
% 54.08/34.25 tff(14621,plain,
% 54.08/34.25 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB71)) | (~v130(constB71, 0))),
% 54.08/34.25 inference(modus_ponens,[status(thm)],[14620, 14619])).
% 54.08/34.25 tff(14622,plain,
% 54.08/34.25 (~v130(constB71, 0)),
% 54.08/34.25 inference(unit_resolution,[status(thm)],[14621, 3274, 14432])).
% 54.08/34.25 tff(14623,plain,
% 54.08/34.25 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB71, 0)) | v26(constB71) | v130(constB71, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB71, 0)) | v26(constB71) | v130(constB71, 0))),
% 54.08/34.25 inference(rewrite,[status(thm)],[])).
% 54.08/34.25 tff(14624,plain,
% 54.08/34.25 ((v26(constB71) | v130(constB71, 0) | (~v127(constB71, 0))) <=> ((~v127(constB71, 0)) | v26(constB71) | v130(constB71, 0))),
% 54.08/34.25 inference(rewrite,[status(thm)],[])).
% 54.08/34.25 tff(14625,plain,
% 54.08/34.25 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB71) | v130(constB71, 0) | (~v127(constB71, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB71, 0)) | v26(constB71) | v130(constB71, 0)))),
% 54.08/34.25 inference(monotonicity,[status(thm)],[14624])).
% 54.08/34.25 tff(14626,plain,
% 54.08/34.25 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB71) | v130(constB71, 0) | (~v127(constB71, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB71, 0)) | v26(constB71) | v130(constB71, 0))),
% 54.08/34.25 inference(transitivity,[status(thm)],[14625, 14623])).
% 54.08/34.25 tff(14627,plain,
% 54.08/34.25 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB71) | v130(constB71, 0) | (~v127(constB71, 0)))),
% 54.08/34.25 inference(quant_inst,[status(thm)],[])).
% 54.08/34.25 tff(14628,plain,
% 54.08/34.25 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB71, 0)) | v26(constB71) | v130(constB71, 0)),
% 54.08/34.25 inference(modus_ponens,[status(thm)],[14627, 14626])).
% 54.08/34.25 tff(14629,plain,
% 54.08/34.25 ((~v127(constB71, 0)) | v130(constB71, 0)),
% 54.08/34.25 inference(unit_resolution,[status(thm)],[14628, 1671, 14450])).
% 54.08/34.25 tff(14630,plain,
% 54.08/34.25 (~v127(constB71, 0)),
% 54.08/34.25 inference(unit_resolution,[status(thm)],[14629, 14622])).
% 54.08/34.25 tff(14631,plain,
% 54.08/34.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB71, constB72)) | v127(constB71, 0) | (~v129(constB72, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB71, constB72)) | v127(constB71, 0) | (~v129(constB72, 0)))),
% 54.08/34.25 inference(rewrite,[status(thm)],[])).
% 54.08/34.25 tff(14632,plain,
% 54.08/34.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB71, constB72)) | v127(constB71, 0) | (~v129(constB72, 0)))),
% 54.08/34.25 inference(quant_inst,[status(thm)],[])).
% 54.08/34.25 tff(14633,plain,
% 54.08/34.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB71, constB72)) | v127(constB71, 0) | (~v129(constB72, 0))),
% 54.08/34.25 inference(modus_ponens,[status(thm)],[14632, 14631])).
% 54.08/34.25 tff(14634,plain,
% 54.08/34.25 (v127(constB71, 0) | (~v129(constB72, 0))),
% 54.08/34.25 inference(unit_resolution,[status(thm)],[14633, 1689, 14380])).
% 54.08/34.25 tff(14635,plain,
% 54.08/34.25 (~v129(constB72, 0)),
% 54.08/34.25 inference(unit_resolution,[status(thm)],[14634, 14630])).
% 54.08/34.25 tff(14636,plain,
% 54.08/34.25 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB72, 0)) | v129(constB72, 0) | (~v100(constB72)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB72, 0)) | v129(constB72, 0) | (~v100(constB72)))),
% 54.08/34.25 inference(rewrite,[status(thm)],[])).
% 54.08/34.25 tff(14637,plain,
% 54.08/34.25 (((~v90(constB72, 0)) | (~v100(constB72)) | v129(constB72, 0)) <=> ((~v90(constB72, 0)) | v129(constB72, 0) | (~v100(constB72)))),
% 54.08/34.25 inference(rewrite,[status(thm)],[])).
% 54.08/34.25 tff(14638,plain,
% 54.08/34.25 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB72, 0)) | (~v100(constB72)) | v129(constB72, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB72, 0)) | v129(constB72, 0) | (~v100(constB72))))),
% 54.08/34.25 inference(monotonicity,[status(thm)],[14637])).
% 54.08/34.25 tff(14639,plain,
% 54.08/34.25 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB72, 0)) | (~v100(constB72)) | v129(constB72, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB72, 0)) | v129(constB72, 0) | (~v100(constB72)))),
% 54.08/34.25 inference(transitivity,[status(thm)],[14638, 14636])).
% 54.08/34.25 tff(14640,plain,
% 54.08/34.25 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB72, 0)) | (~v100(constB72)) | v129(constB72, 0))),
% 54.08/34.25 inference(quant_inst,[status(thm)],[])).
% 54.08/34.25 tff(14641,plain,
% 54.08/34.25 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB72, 0)) | v129(constB72, 0) | (~v100(constB72))),
% 54.08/34.25 inference(modus_ponens,[status(thm)],[14640, 14639])).
% 54.08/34.25 tff(14642,plain,
% 54.08/34.25 ((~v90(constB72, 0)) | (~v100(constB72))),
% 54.08/34.25 inference(unit_resolution,[status(thm)],[14641, 1704, 14635])).
% 54.08/34.25 tff(14643,plain,
% 54.08/34.25 (~v90(constB72, 0)),
% 54.08/34.25 inference(unit_resolution,[status(thm)],[14642, 14493])).
% 54.08/34.25 tff(14644,plain,
% 54.08/34.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB72, 0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB72, 0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, 0)))),
% 54.08/34.25 inference(rewrite,[status(thm)],[])).
% 54.08/34.25 tff(14645,plain,
% 54.08/34.25 (((~nextState(constB72, constB73)) | v90(constB72, 0) | v100(constB73) | (~v90(constB73, 0))) <=> (v90(constB72, 0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, 0)))),
% 54.08/34.25 inference(rewrite,[status(thm)],[])).
% 54.08/34.25 tff(14646,plain,
% 54.08/34.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB72, constB73)) | v90(constB72, 0) | v100(constB73) | (~v90(constB73, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB72, 0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, 0))))),
% 54.08/34.25 inference(monotonicity,[status(thm)],[14645])).
% 54.08/34.25 tff(14647,plain,
% 54.08/34.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB72, constB73)) | v90(constB72, 0) | v100(constB73) | (~v90(constB73, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB72, 0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, 0)))),
% 54.08/34.25 inference(transitivity,[status(thm)],[14646, 14644])).
% 54.08/34.25 tff(14648,plain,
% 54.08/34.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB72, constB73)) | v90(constB72, 0) | v100(constB73) | (~v90(constB73, 0)))),
% 54.08/34.25 inference(quant_inst,[status(thm)],[])).
% 54.08/34.25 tff(14649,plain,
% 54.08/34.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB72, 0) | (~nextState(constB72, constB73)) | v100(constB73) | (~v90(constB73, 0))),
% 54.08/34.25 inference(modus_ponens,[status(thm)],[14648, 14647])).
% 54.08/34.25 tff(14650,plain,
% 54.08/34.25 (v90(constB72, 0) | v100(constB73) | (~v90(constB73, 0))),
% 54.08/34.25 inference(unit_resolution,[status(thm)],[14649, 947, 14412])).
% 54.08/34.25 tff(14651,plain,
% 54.08/34.25 (v90(constB72, 0) | (~v90(constB73, 0))),
% 54.08/34.25 inference(unit_resolution,[status(thm)],[14650, 14530])).
% 54.08/34.25 tff(14652,plain,
% 54.08/34.25 (~v90(constB73, 0)),
% 54.08/34.25 inference(unit_resolution,[status(thm)],[14651, 14643])).
% 54.08/34.25 tff(14653,plain,
% 54.08/34.25 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB73, 0) | (~v90(constB73, 1)) | (~v90(constB73, 2)) | v125(constB73))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB73, 0) | (~v90(constB73, 1)) | (~v90(constB73, 2)) | v125(constB73))),
% 54.08/34.25 inference(rewrite,[status(thm)],[])).
% 54.08/34.25 tff(14654,plain,
% 54.08/34.25 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB73, 0) | (~v90(constB73, 1)) | (~v90(constB73, 2)) | v125(constB73))),
% 54.08/34.25 inference(quant_inst,[status(thm)],[])).
% 54.08/34.25 tff(14655,plain,
% 54.08/34.25 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB73, 0) | (~v90(constB73, 1)) | (~v90(constB73, 2)) | v125(constB73)),
% 54.08/34.25 inference(modus_ponens,[status(thm)],[14654, 14653])).
% 54.08/34.25 tff(14656,plain,
% 54.08/34.25 (v125(constB73)),
% 54.08/34.25 inference(unit_resolution,[status(thm)],[14655, 2279, 14652, 14578, 14539])).
% 54.08/34.25 tff(14657,plain,
% 54.08/34.25 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB73) | (~v125(constB73)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB73) | (~v125(constB73)))),
% 54.08/34.25 inference(rewrite,[status(thm)],[])).
% 54.08/34.25 tff(14658,plain,
% 54.08/34.25 (((~v125(constB73)) | v113(constB73)) <=> (v113(constB73) | (~v125(constB73)))),
% 54.08/34.25 inference(rewrite,[status(thm)],[])).
% 54.08/34.25 tff(14659,plain,
% 54.08/34.25 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB73)) | v113(constB73))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB73) | (~v125(constB73))))),
% 54.08/34.25 inference(monotonicity,[status(thm)],[14658])).
% 54.08/34.25 tff(14660,plain,
% 54.08/34.25 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB73)) | v113(constB73))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB73) | (~v125(constB73)))),
% 54.08/34.25 inference(transitivity,[status(thm)],[14659, 14657])).
% 54.08/34.25 tff(14661,plain,
% 54.08/34.25 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB73)) | v113(constB73))),
% 54.08/34.25 inference(quant_inst,[status(thm)],[])).
% 54.08/34.25 tff(14662,plain,
% 54.08/34.25 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB73) | (~v125(constB73))),
% 54.08/34.25 inference(modus_ponens,[status(thm)],[14661, 14660])).
% 54.08/34.25 tff(14663,plain,
% 54.08/34.25 (v113(constB73)),
% 54.08/34.25 inference(unit_resolution,[status(thm)],[14662, 2262, 14656])).
% 54.08/34.25 tff(14664,assumption,(~v108(constB73)), introduced(assumption)).
% 54.08/34.25 tff(14665,plain,
% 54.08/34.25 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB73) | (~v112(constB73)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB73) | (~v112(constB73)))),
% 54.08/34.25 inference(rewrite,[status(thm)],[])).
% 54.08/34.25 tff(14666,plain,
% 54.08/34.25 (((~v112(constB73)) | v108(constB73)) <=> (v108(constB73) | (~v112(constB73)))),
% 54.08/34.25 inference(rewrite,[status(thm)],[])).
% 54.08/34.25 tff(14667,plain,
% 54.08/34.25 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB73)) | v108(constB73))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB73) | (~v112(constB73))))),
% 54.08/34.25 inference(monotonicity,[status(thm)],[14666])).
% 54.08/34.25 tff(14668,plain,
% 54.08/34.25 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB73)) | v108(constB73))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB73) | (~v112(constB73)))),
% 54.08/34.25 inference(transitivity,[status(thm)],[14667, 14665])).
% 54.08/34.25 tff(14669,plain,
% 54.08/34.25 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB73)) | v108(constB73))),
% 54.08/34.25 inference(quant_inst,[status(thm)],[])).
% 54.08/34.25 tff(14670,plain,
% 54.08/34.25 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB73) | (~v112(constB73))),
% 54.08/34.25 inference(modus_ponens,[status(thm)],[14669, 14668])).
% 54.08/34.25 tff(14671,plain,
% 54.08/34.25 (~v112(constB73)),
% 54.08/34.25 inference(unit_resolution,[status(thm)],[14670, 1075, 14664])).
% 54.08/34.25 tff(14672,plain,
% 54.08/34.25 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB73) | (~v26(constB73)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB73) | (~v26(constB73)))),
% 54.08/34.25 inference(rewrite,[status(thm)],[])).
% 54.08/34.25 tff(14673,plain,
% 54.08/34.25 (((~v26(constB73)) | v108(constB73)) <=> (v108(constB73) | (~v26(constB73)))),
% 54.08/34.25 inference(rewrite,[status(thm)],[])).
% 54.08/34.25 tff(14674,plain,
% 54.08/34.25 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB73)) | v108(constB73))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB73) | (~v26(constB73))))),
% 54.08/34.25 inference(monotonicity,[status(thm)],[14673])).
% 54.08/34.25 tff(14675,plain,
% 54.08/34.25 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB73)) | v108(constB73))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB73) | (~v26(constB73)))),
% 54.08/34.25 inference(transitivity,[status(thm)],[14674, 14672])).
% 54.08/34.25 tff(14676,plain,
% 54.08/34.25 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB73)) | v108(constB73))),
% 54.08/34.25 inference(quant_inst,[status(thm)],[])).
% 54.08/34.25 tff(14677,plain,
% 54.08/34.25 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB73) | (~v26(constB73))),
% 54.08/34.25 inference(modus_ponens,[status(thm)],[14676, 14675])).
% 54.08/34.25 tff(14678,plain,
% 54.08/34.25 (~v26(constB73)),
% 54.08/34.25 inference(unit_resolution,[status(thm)],[14677, 2050, 14664])).
% 54.08/34.25 tff(14679,assumption,(v113(constB73)), introduced(assumption)).
% 54.08/34.25 tff(14680,plain,
% 54.08/34.25 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB73) | v112(constB73) | (~v113(constB73)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB73) | v112(constB73) | (~v113(constB73)))),
% 54.08/34.25 inference(rewrite,[status(thm)],[])).
% 54.08/34.25 tff(14681,plain,
% 54.08/34.25 ((v26(constB73) | (~v113(constB73)) | v112(constB73)) <=> (v26(constB73) | v112(constB73) | (~v113(constB73)))),
% 54.08/34.25 inference(rewrite,[status(thm)],[])).
% 54.08/34.25 tff(14682,plain,
% 54.08/34.25 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB73) | (~v113(constB73)) | v112(constB73))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB73) | v112(constB73) | (~v113(constB73))))),
% 54.08/34.25 inference(monotonicity,[status(thm)],[14681])).
% 54.08/34.25 tff(14683,plain,
% 54.08/34.25 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB73) | (~v113(constB73)) | v112(constB73))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB73) | v112(constB73) | (~v113(constB73)))),
% 54.08/34.25 inference(transitivity,[status(thm)],[14682, 14680])).
% 54.08/34.25 tff(14684,plain,
% 54.08/34.25 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB73) | (~v113(constB73)) | v112(constB73))),
% 54.08/34.25 inference(quant_inst,[status(thm)],[])).
% 54.08/34.25 tff(14685,plain,
% 54.08/34.25 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB73) | v112(constB73) | (~v113(constB73))),
% 54.08/34.25 inference(modus_ponens,[status(thm)],[14684, 14683])).
% 54.08/34.25 tff(14686,plain,
% 54.08/34.25 (v26(constB73) | v112(constB73)),
% 54.08/34.25 inference(unit_resolution,[status(thm)],[14685, 1063, 14679])).
% 54.08/34.25 tff(14687,plain,
% 54.08/34.25 ($false),
% 54.08/34.25 inference(unit_resolution,[status(thm)],[14686, 14678, 14671])).
% 54.08/34.25 tff(14688,plain,(v108(constB73) | (~v113(constB73))), inference(lemma,lemma(discharge,[]))).
% 54.08/34.25 tff(14689,plain,
% 54.08/34.25 (v108(constB73)),
% 54.08/34.25 inference(unit_resolution,[status(thm)],[14688, 14663])).
% 54.08/34.25 tff(14690,plain,
% 54.08/34.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73)))),
% 54.08/34.25 inference(rewrite,[status(thm)],[])).
% 54.08/34.25 tff(14691,plain,
% 54.08/34.25 (((~nextState(constB73, constB74)) | (~v108(constB73)) | v110(constB74)) <=> ((~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73)))),
% 54.08/34.25 inference(rewrite,[status(thm)],[])).
% 54.08/34.25 tff(14692,plain,
% 54.08/34.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | (~v108(constB73)) | v110(constB74))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73))))),
% 54.08/34.25 inference(monotonicity,[status(thm)],[14691])).
% 54.08/34.25 tff(14693,plain,
% 54.08/34.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | (~v108(constB73)) | v110(constB74))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73)))),
% 54.08/34.25 inference(transitivity,[status(thm)],[14692, 14690])).
% 54.08/34.25 tff(14694,plain,
% 54.08/34.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB73, constB74)) | (~v108(constB73)) | v110(constB74))),
% 54.08/34.25 inference(quant_inst,[status(thm)],[])).
% 54.08/34.25 tff(14695,plain,
% 54.08/34.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB73, constB74)) | v110(constB74) | (~v108(constB73))),
% 54.08/34.25 inference(modus_ponens,[status(thm)],[14694, 14693])).
% 54.08/34.25 tff(14696,plain,
% 54.08/34.25 (v110(constB74) | (~v108(constB73))),
% 54.08/34.25 inference(unit_resolution,[status(thm)],[14695, 1095, 14613])).
% 54.08/34.25 tff(14697,plain,
% 54.08/34.25 (v110(constB74)),
% 54.08/34.25 inference(unit_resolution,[status(thm)],[14696, 14689])).
% 54.08/34.25 tff(14698,plain,
% 54.08/34.25 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB73) | (~nextState(constB73, constB74)) | (~v104(constB74)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB73) | (~nextState(constB73, constB74)) | (~v104(constB74)))),
% 54.08/34.25 inference(rewrite,[status(thm)],[])).
% 54.08/34.25 tff(14699,plain,
% 54.08/34.25 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB73) | (~nextState(constB73, constB74)) | (~v104(constB74)))),
% 54.08/34.25 inference(quant_inst,[status(thm)],[])).
% 54.08/34.25 tff(14700,plain,
% 54.08/34.25 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB73) | (~nextState(constB73, constB74)) | (~v104(constB74))),
% 54.08/34.25 inference(modus_ponens,[status(thm)],[14699, 14698])).
% 54.08/34.25 tff(14701,plain,
% 54.08/34.25 (~v104(constB74)),
% 54.08/34.25 inference(unit_resolution,[status(thm)],[14700, 1113, 14613, 14518])).
% 54.08/34.25 tff(14702,plain,
% 54.08/34.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB73, constB74)) | v102(constB74) | v104(constB74))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB73, constB74)) | v102(constB74) | v104(constB74))),
% 54.08/34.25 inference(rewrite,[status(thm)],[])).
% 54.08/34.25 tff(14703,plain,
% 54.08/34.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB73, constB74)) | v102(constB74) | v104(constB74))),
% 54.08/34.25 inference(quant_inst,[status(thm)],[])).
% 54.08/34.25 tff(14704,plain,
% 54.08/34.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB73, constB74)) | v102(constB74) | v104(constB74)),
% 54.08/34.25 inference(modus_ponens,[status(thm)],[14703, 14702])).
% 54.08/34.25 tff(14705,plain,
% 54.08/34.25 (v102(constB74) | v104(constB74)),
% 54.08/34.25 inference(unit_resolution,[status(thm)],[14704, 1127, 14613])).
% 54.08/34.25 tff(14706,plain,
% 54.08/34.25 (v102(constB74)),
% 54.08/34.25 inference(unit_resolution,[status(thm)],[14705, 14701])).
% 54.08/34.25 tff(14707,plain,
% 54.08/34.25 (v1(constB74) <=> v1(constB74)),
% 54.08/34.25 inference(rewrite,[status(thm)],[])).
% 54.08/34.25 tff(14708,axiom,(v1(constB74)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_74_1')).
% 54.08/34.25 tff(14709,plain,
% 54.08/34.25 (v1(constB74)),
% 54.08/34.25 inference(modus_ponens,[status(thm)],[14708, 14707])).
% 54.08/34.25 tff(14710,plain,
% 54.08/34.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB73, constB74)) | v101(constB74) | (~v102(constB74)) | (~v1(constB74)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB73, constB74)) | v101(constB74) | (~v102(constB74)) | (~v1(constB74)))),
% 54.08/34.25 inference(rewrite,[status(thm)],[])).
% 54.08/34.25 tff(14711,plain,
% 54.08/34.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB73, constB74)) | v101(constB74) | (~v102(constB74)) | (~v1(constB74)))),
% 54.08/34.25 inference(quant_inst,[status(thm)],[])).
% 54.08/34.25 tff(14712,plain,
% 54.08/34.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB73, constB74)) | v101(constB74) | (~v102(constB74)) | (~v1(constB74))),
% 54.08/34.25 inference(modus_ponens,[status(thm)],[14711, 14710])).
% 54.08/34.25 tff(14713,plain,
% 54.08/34.25 (v101(constB74) | (~v102(constB74))),
% 54.08/34.25 inference(unit_resolution,[status(thm)],[14712, 1145, 14613, 14709])).
% 54.08/34.25 tff(14714,plain,
% 54.08/34.25 (v101(constB74)),
% 54.08/34.25 inference(unit_resolution,[status(thm)],[14713, 14706])).
% 54.08/34.25 tff(14715,plain,
% 54.08/34.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74)))),
% 54.08/34.25 inference(rewrite,[status(thm)],[])).
% 54.08/34.25 tff(14716,plain,
% 54.08/34.25 (((~nextState(constB73, constB74)) | (~v101(constB74)) | (~v110(constB74)) | v100(constB74)) <=> ((~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74)))),
% 54.08/34.25 inference(rewrite,[status(thm)],[])).
% 54.08/34.25 tff(14717,plain,
% 54.08/34.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | (~v101(constB74)) | (~v110(constB74)) | v100(constB74))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74))))),
% 54.08/34.25 inference(monotonicity,[status(thm)],[14716])).
% 54.08/34.25 tff(14718,plain,
% 54.08/34.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | (~v101(constB74)) | (~v110(constB74)) | v100(constB74))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74)))),
% 54.08/34.25 inference(transitivity,[status(thm)],[14717, 14715])).
% 54.08/34.25 tff(14719,plain,
% 54.08/34.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB73, constB74)) | (~v101(constB74)) | (~v110(constB74)) | v100(constB74))),
% 54.08/34.25 inference(quant_inst,[status(thm)],[])).
% 54.08/34.25 tff(14720,plain,
% 54.08/34.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB73, constB74)) | v100(constB74) | (~v101(constB74)) | (~v110(constB74))),
% 54.08/34.25 inference(modus_ponens,[status(thm)],[14719, 14718])).
% 54.08/34.25 tff(14721,plain,
% 54.08/34.25 (v100(constB74) | (~v101(constB74)) | (~v110(constB74))),
% 54.08/34.25 inference(unit_resolution,[status(thm)],[14720, 1160, 14613])).
% 54.08/34.25 tff(14722,plain,
% 54.08/34.25 (v100(constB74) | (~v110(constB74))),
% 54.08/34.25 inference(unit_resolution,[status(thm)],[14721, 14714])).
% 54.08/34.25 tff(14723,plain,
% 54.08/34.25 (v100(constB74)),
% 54.08/34.25 inference(unit_resolution,[status(thm)],[14722, 14697])).
% 54.08/34.25 tff(14724,plain,
% 54.08/34.25 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB74, 2)) | v129(constB74, 2) | (~v100(constB74)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB74, 2)) | v129(constB74, 2) | (~v100(constB74)))),
% 54.08/34.25 inference(rewrite,[status(thm)],[])).
% 54.08/34.25 tff(14725,plain,
% 54.08/34.25 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB74, 2)) | v129(constB74, 2) | (~v100(constB74)))),
% 54.08/34.25 inference(quant_inst,[status(thm)],[])).
% 54.08/34.25 tff(14726,plain,
% 54.08/34.25 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB74, 2)) | v129(constB74, 2) | (~v100(constB74))),
% 54.08/34.25 inference(modus_ponens,[status(thm)],[14725, 14724])).
% 54.08/34.25 tff(14727,plain,
% 54.08/34.25 (~v90(constB74, 2)),
% 54.08/34.25 inference(unit_resolution,[status(thm)],[14726, 1223, 14723, 14618])).
% 54.08/34.25 tff(14728,plain,
% 54.08/34.25 ((~v1(constB75)) <=> (~v1(constB75))),
% 54.08/34.25 inference(rewrite,[status(thm)],[])).
% 54.08/34.25 tff(14729,axiom,(~v1(constB75)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_75_1_1')).
% 54.08/34.25 tff(14730,plain,
% 54.08/34.25 (~v1(constB75)),
% 54.08/34.25 inference(modus_ponens,[status(thm)],[14729, 14728])).
% 54.08/34.25 tff(14731,plain,
% 54.08/34.25 (nextState(constB74, constB75) <=> nextState(constB74, constB75)),
% 54.08/34.25 inference(rewrite,[status(thm)],[])).
% 54.08/34.25 tff(14732,axiom,(nextState(constB74, constB75)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_74_1')).
% 54.08/34.25 tff(14733,plain,
% 54.08/34.25 (nextState(constB74, constB75)),
% 54.08/34.25 inference(modus_ponens,[status(thm)],[14732, 14731])).
% 54.08/34.25 tff(14734,plain,
% 54.08/34.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75)))),
% 54.08/34.25 inference(rewrite,[status(thm)],[])).
% 54.08/34.25 tff(14735,plain,
% 54.08/34.25 (((~nextState(constB74, constB75)) | (~v101(constB75)) | v1(constB75)) <=> (v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75)))),
% 54.08/34.25 inference(rewrite,[status(thm)],[])).
% 54.08/34.25 tff(14736,plain,
% 54.08/34.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB74, constB75)) | (~v101(constB75)) | v1(constB75))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75))))),
% 54.08/34.25 inference(monotonicity,[status(thm)],[14735])).
% 54.08/34.25 tff(14737,plain,
% 54.08/34.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB74, constB75)) | (~v101(constB75)) | v1(constB75))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75)))),
% 54.08/34.25 inference(transitivity,[status(thm)],[14736, 14734])).
% 54.08/34.25 tff(14738,plain,
% 54.08/34.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB74, constB75)) | (~v101(constB75)) | v1(constB75))),
% 54.08/34.25 inference(quant_inst,[status(thm)],[])).
% 54.08/34.25 tff(14739,plain,
% 54.08/34.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB75) | (~nextState(constB74, constB75)) | (~v101(constB75))),
% 54.08/34.25 inference(modus_ponens,[status(thm)],[14738, 14737])).
% 54.08/34.25 tff(14740,plain,
% 54.08/34.25 (~v101(constB75)),
% 54.08/34.25 inference(unit_resolution,[status(thm)],[14739, 873, 14733, 14730])).
% 54.08/34.25 tff(14741,plain,
% 54.08/34.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB74, constB75)) | v101(constB75) | (~v100(constB75)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB74, constB75)) | v101(constB75) | (~v100(constB75)))),
% 54.08/34.25 inference(rewrite,[status(thm)],[])).
% 54.08/34.25 tff(14742,plain,
% 54.08/34.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB74, constB75)) | v101(constB75) | (~v100(constB75)))),
% 54.08/34.25 inference(quant_inst,[status(thm)],[])).
% 54.08/34.25 tff(14743,plain,
% 54.08/34.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB74, constB75)) | v101(constB75) | (~v100(constB75))),
% 54.08/34.25 inference(modus_ponens,[status(thm)],[14742, 14741])).
% 54.08/34.25 tff(14744,plain,
% 54.08/34.25 (v101(constB75) | (~v100(constB75))),
% 54.08/34.25 inference(unit_resolution,[status(thm)],[14743, 890, 14733])).
% 54.08/34.25 tff(14745,plain,
% 54.08/34.25 (~v100(constB75)),
% 54.08/34.25 inference(unit_resolution,[status(thm)],[14744, 14740])).
% 54.08/34.25 tff(14746,plain,
% 54.08/34.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB74, 2) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB74, 2) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, 2)))),
% 54.08/34.25 inference(rewrite,[status(thm)],[])).
% 54.08/34.25 tff(14747,plain,
% 54.08/34.25 (((~nextState(constB74, constB75)) | v90(constB74, 2) | v100(constB75) | (~v90(constB75, 2))) <=> (v90(constB74, 2) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, 2)))),
% 54.08/34.25 inference(rewrite,[status(thm)],[])).
% 54.08/34.25 tff(14748,plain,
% 54.08/34.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB74, constB75)) | v90(constB74, 2) | v100(constB75) | (~v90(constB75, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB74, 2) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, 2))))),
% 54.08/34.25 inference(monotonicity,[status(thm)],[14747])).
% 54.08/34.25 tff(14749,plain,
% 54.08/34.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB74, constB75)) | v90(constB74, 2) | v100(constB75) | (~v90(constB75, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB74, 2) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, 2)))),
% 54.08/34.25 inference(transitivity,[status(thm)],[14748, 14746])).
% 54.08/34.25 tff(14750,plain,
% 54.08/34.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB74, constB75)) | v90(constB74, 2) | v100(constB75) | (~v90(constB75, 2)))),
% 54.08/34.25 inference(quant_inst,[status(thm)],[])).
% 54.08/34.25 tff(14751,plain,
% 54.08/34.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB74, 2) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, 2))),
% 54.08/34.25 inference(modus_ponens,[status(thm)],[14750, 14749])).
% 54.08/34.25 tff(14752,plain,
% 54.08/34.25 (v90(constB74, 2) | v100(constB75) | (~v90(constB75, 2))),
% 54.08/34.25 inference(unit_resolution,[status(thm)],[14751, 905, 14733])).
% 54.08/34.25 tff(14753,plain,
% 54.08/34.25 (v90(constB74, 2) | (~v90(constB75, 2))),
% 54.08/34.25 inference(unit_resolution,[status(thm)],[14752, 14745])).
% 54.08/34.25 tff(14754,plain,
% 54.08/34.25 (~v90(constB75, 2)),
% 54.08/34.25 inference(unit_resolution,[status(thm)],[14753, 14727])).
% 54.08/34.25 tff(14755,plain,
% 54.08/34.25 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, 1)))),
% 54.08/34.25 inference(rewrite,[status(thm)],[])).
% 54.08/34.25 tff(14756,plain,
% 54.08/34.25 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, 1)))),
% 54.08/34.25 inference(quant_inst,[status(thm)],[])).
% 54.08/34.25 tff(14757,plain,
% 54.08/34.25 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | (~v130(constB73, 1))),
% 54.08/34.25 inference(modus_ponens,[status(thm)],[14756, 14755])).
% 54.08/34.25 tff(14758,plain,
% 54.08/34.25 (~v130(constB73, 1)),
% 54.08/34.25 inference(unit_resolution,[status(thm)],[14757, 3309, 14594, 14590, 14586, 14582, 14547, 14543])).
% 54.08/34.25 tff(14759,plain,
% 54.08/34.25 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB73, 1)) | v26(constB73) | v130(constB73, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB73, 1)) | v26(constB73) | v130(constB73, 1))),
% 54.08/34.25 inference(rewrite,[status(thm)],[])).
% 54.08/34.25 tff(14760,plain,
% 54.08/34.25 ((v26(constB73) | v130(constB73, 1) | (~v127(constB73, 1))) <=> ((~v127(constB73, 1)) | v26(constB73) | v130(constB73, 1))),
% 54.08/34.25 inference(rewrite,[status(thm)],[])).
% 54.08/34.25 tff(14761,plain,
% 54.08/34.25 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB73) | v130(constB73, 1) | (~v127(constB73, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB73, 1)) | v26(constB73) | v130(constB73, 1)))),
% 54.08/34.25 inference(monotonicity,[status(thm)],[14760])).
% 54.08/34.26 tff(14762,plain,
% 54.08/34.26 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB73) | v130(constB73, 1) | (~v127(constB73, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB73, 1)) | v26(constB73) | v130(constB73, 1))),
% 54.08/34.26 inference(transitivity,[status(thm)],[14761, 14759])).
% 54.08/34.26 tff(14763,plain,
% 54.08/34.26 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB73) | v130(constB73, 1) | (~v127(constB73, 1)))),
% 54.08/34.26 inference(quant_inst,[status(thm)],[])).
% 54.08/34.26 tff(14764,plain,
% 54.08/34.26 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB73, 1)) | v26(constB73) | v130(constB73, 1)),
% 54.08/34.26 inference(modus_ponens,[status(thm)],[14763, 14762])).
% 54.08/34.26 tff(14765,plain,
% 54.08/34.26 ((~v127(constB73, 1)) | v130(constB73, 1)),
% 54.08/34.26 inference(unit_resolution,[status(thm)],[14764, 1276, 14602])).
% 54.08/34.26 tff(14766,plain,
% 54.08/34.26 (~v127(constB73, 1)),
% 54.08/34.26 inference(unit_resolution,[status(thm)],[14765, 14758])).
% 54.08/34.26 tff(14767,plain,
% 54.08/34.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB73, constB74)) | v127(constB73, 1) | (~v129(constB74, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB73, constB74)) | v127(constB73, 1) | (~v129(constB74, 1)))),
% 54.08/34.26 inference(rewrite,[status(thm)],[])).
% 54.08/34.26 tff(14768,plain,
% 54.08/34.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB73, constB74)) | v127(constB73, 1) | (~v129(constB74, 1)))),
% 54.08/34.26 inference(quant_inst,[status(thm)],[])).
% 54.08/34.26 tff(14769,plain,
% 54.08/34.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB73, constB74)) | v127(constB73, 1) | (~v129(constB74, 1))),
% 54.08/34.26 inference(modus_ponens,[status(thm)],[14768, 14767])).
% 54.08/34.26 tff(14770,plain,
% 54.08/34.26 (v127(constB73, 1) | (~v129(constB74, 1))),
% 54.08/34.26 inference(unit_resolution,[status(thm)],[14769, 1294, 14613])).
% 54.08/34.26 tff(14771,plain,
% 54.08/34.26 (~v129(constB74, 1)),
% 54.08/34.26 inference(unit_resolution,[status(thm)],[14770, 14766])).
% 54.08/34.26 tff(14772,plain,
% 54.08/34.26 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB74, 1)) | v129(constB74, 1) | (~v100(constB74)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB74, 1)) | v129(constB74, 1) | (~v100(constB74)))),
% 54.08/34.26 inference(rewrite,[status(thm)],[])).
% 54.08/34.26 tff(14773,plain,
% 54.08/34.26 (((~v90(constB74, 1)) | (~v100(constB74)) | v129(constB74, 1)) <=> ((~v90(constB74, 1)) | v129(constB74, 1) | (~v100(constB74)))),
% 54.08/34.26 inference(rewrite,[status(thm)],[])).
% 54.08/34.26 tff(14774,plain,
% 54.08/34.26 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB74, 1)) | (~v100(constB74)) | v129(constB74, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB74, 1)) | v129(constB74, 1) | (~v100(constB74))))),
% 54.08/34.26 inference(monotonicity,[status(thm)],[14773])).
% 54.08/34.26 tff(14775,plain,
% 54.08/34.26 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB74, 1)) | (~v100(constB74)) | v129(constB74, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB74, 1)) | v129(constB74, 1) | (~v100(constB74)))),
% 54.08/34.26 inference(transitivity,[status(thm)],[14774, 14772])).
% 54.08/34.26 tff(14776,plain,
% 54.08/34.26 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB74, 1)) | (~v100(constB74)) | v129(constB74, 1))),
% 54.08/34.26 inference(quant_inst,[status(thm)],[])).
% 54.08/34.26 tff(14777,plain,
% 54.08/34.26 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB74, 1)) | v129(constB74, 1) | (~v100(constB74))),
% 54.08/34.26 inference(modus_ponens,[status(thm)],[14776, 14775])).
% 54.08/34.26 tff(14778,plain,
% 54.08/34.26 (~v90(constB74, 1)),
% 54.08/34.26 inference(unit_resolution,[status(thm)],[14777, 1309, 14723, 14771])).
% 54.08/34.26 tff(14779,plain,
% 54.08/34.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB74, 1) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB74, 1) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, 1)))),
% 54.08/34.26 inference(rewrite,[status(thm)],[])).
% 54.08/34.26 tff(14780,plain,
% 54.08/34.26 (((~nextState(constB74, constB75)) | v90(constB74, 1) | v100(constB75) | (~v90(constB75, 1))) <=> (v90(constB74, 1) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, 1)))),
% 54.08/34.26 inference(rewrite,[status(thm)],[])).
% 54.08/34.26 tff(14781,plain,
% 54.08/34.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB74, constB75)) | v90(constB74, 1) | v100(constB75) | (~v90(constB75, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB74, 1) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, 1))))),
% 54.08/34.26 inference(monotonicity,[status(thm)],[14780])).
% 54.08/34.26 tff(14782,plain,
% 54.08/34.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB74, constB75)) | v90(constB74, 1) | v100(constB75) | (~v90(constB75, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB74, 1) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, 1)))),
% 54.08/34.26 inference(transitivity,[status(thm)],[14781, 14779])).
% 54.08/34.26 tff(14783,plain,
% 54.08/34.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB74, constB75)) | v90(constB74, 1) | v100(constB75) | (~v90(constB75, 1)))),
% 54.08/34.26 inference(quant_inst,[status(thm)],[])).
% 54.08/34.26 tff(14784,plain,
% 54.08/34.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB74, 1) | (~nextState(constB74, constB75)) | v100(constB75) | (~v90(constB75, 1))),
% 54.08/34.26 inference(modus_ponens,[status(thm)],[14783, 14782])).
% 54.08/34.26 tff(14785,plain,
% 54.08/34.26 (v90(constB74, 1) | v100(constB75) | (~v90(constB75, 1))),
% 54.08/34.26 inference(unit_resolution,[status(thm)],[14784, 926, 14733])).
% 54.08/34.26 tff(14786,plain,
% 54.08/34.26 (v90(constB74, 1) | (~v90(constB75, 1))),
% 54.08/34.26 inference(unit_resolution,[status(thm)],[14785, 14745])).
% 54.08/34.26 tff(14787,plain,
% 54.08/34.26 (~v90(constB75, 1)),
% 54.08/34.26 inference(unit_resolution,[status(thm)],[14786, 14778])).
% 54.08/34.26 tff(14788,plain,
% 54.08/34.26 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | v130(constB73, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | v130(constB73, 0))),
% 54.08/34.26 inference(rewrite,[status(thm)],[])).
% 54.08/34.26 tff(14789,plain,
% 54.08/34.26 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | v130(constB73, 0))),
% 54.08/34.26 inference(quant_inst,[status(thm)],[])).
% 54.08/34.26 tff(14790,plain,
% 54.08/34.26 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB73) | v120(constB73) | v121(constB73) | v122(constB73) | v123(constB73) | v124(constB73) | v130(constB73, 0)),
% 54.08/34.26 inference(modus_ponens,[status(thm)],[14789, 14788])).
% 54.08/34.26 tff(14791,plain,
% 54.08/34.26 (v130(constB73, 0)),
% 54.08/34.26 inference(unit_resolution,[status(thm)],[14790, 3413, 14594, 14590, 14586, 14582, 14547, 14543])).
% 54.08/34.26 tff(14792,plain,
% 54.08/34.26 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB73) | (~v130(constB73, 0)) | v127(constB73, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB73) | (~v130(constB73, 0)) | v127(constB73, 0))),
% 54.08/34.26 inference(rewrite,[status(thm)],[])).
% 54.08/34.26 tff(14793,plain,
% 54.08/34.26 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB73) | (~v130(constB73, 0)) | v127(constB73, 0))),
% 54.08/34.26 inference(quant_inst,[status(thm)],[])).
% 54.08/34.26 tff(14794,plain,
% 54.08/34.26 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB73) | (~v130(constB73, 0)) | v127(constB73, 0)),
% 54.08/34.26 inference(modus_ponens,[status(thm)],[14793, 14792])).
% 54.08/34.26 tff(14795,plain,
% 54.08/34.26 ((~v130(constB73, 0)) | v127(constB73, 0)),
% 54.08/34.26 inference(unit_resolution,[status(thm)],[14794, 1347, 14602])).
% 54.08/34.26 tff(14796,plain,
% 54.08/34.26 (v127(constB73, 0)),
% 54.08/34.26 inference(unit_resolution,[status(thm)],[14795, 14791])).
% 54.08/34.26 tff(14797,plain,
% 54.08/34.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB73, constB74)) | (~v127(constB73, 0)) | v129(constB74, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB73, constB74)) | (~v127(constB73, 0)) | v129(constB74, 0))),
% 54.08/34.26 inference(rewrite,[status(thm)],[])).
% 54.08/34.26 tff(14798,plain,
% 54.08/34.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB73, constB74)) | (~v127(constB73, 0)) | v129(constB74, 0))),
% 54.08/34.26 inference(quant_inst,[status(thm)],[])).
% 54.08/34.26 tff(14799,plain,
% 54.08/34.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB73, constB74)) | (~v127(constB73, 0)) | v129(constB74, 0)),
% 54.08/34.26 inference(modus_ponens,[status(thm)],[14798, 14797])).
% 54.08/34.26 tff(14800,plain,
% 54.08/34.26 ((~v127(constB73, 0)) | v129(constB74, 0)),
% 54.08/34.26 inference(unit_resolution,[status(thm)],[14799, 1362, 14613])).
% 54.08/34.26 tff(14801,plain,
% 54.08/34.26 (v129(constB74, 0)),
% 54.08/34.26 inference(unit_resolution,[status(thm)],[14800, 14796])).
% 54.08/34.26 tff(14802,plain,
% 54.08/34.26 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB74, 0) | (~v129(constB74, 0)) | (~v100(constB74)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB74, 0) | (~v129(constB74, 0)) | (~v100(constB74)))),
% 54.08/34.26 inference(rewrite,[status(thm)],[])).
% 54.08/34.26 tff(14803,plain,
% 54.08/34.26 ((v90(constB74, 0) | (~v100(constB74)) | (~v129(constB74, 0))) <=> (v90(constB74, 0) | (~v129(constB74, 0)) | (~v100(constB74)))),
% 54.08/34.26 inference(rewrite,[status(thm)],[])).
% 54.08/34.26 tff(14804,plain,
% 54.08/34.26 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB74, 0) | (~v100(constB74)) | (~v129(constB74, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB74, 0) | (~v129(constB74, 0)) | (~v100(constB74))))),
% 54.08/34.26 inference(monotonicity,[status(thm)],[14803])).
% 54.08/34.26 tff(14805,plain,
% 54.08/34.26 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB74, 0) | (~v100(constB74)) | (~v129(constB74, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB74, 0) | (~v129(constB74, 0)) | (~v100(constB74)))),
% 54.08/34.26 inference(transitivity,[status(thm)],[14804, 14802])).
% 54.08/34.26 tff(14806,plain,
% 54.08/34.26 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB74, 0) | (~v100(constB74)) | (~v129(constB74, 0)))),
% 54.08/34.26 inference(quant_inst,[status(thm)],[])).
% 54.08/34.26 tff(14807,plain,
% 54.08/34.26 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB74, 0) | (~v129(constB74, 0)) | (~v100(constB74))),
% 54.08/34.26 inference(modus_ponens,[status(thm)],[14806, 14805])).
% 54.08/34.26 tff(14808,plain,
% 54.08/34.26 (v90(constB74, 0)),
% 54.08/34.26 inference(unit_resolution,[status(thm)],[14807, 1377, 14723, 14801])).
% 54.08/34.26 tff(14809,plain,
% 54.08/34.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB74, 0)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB74, 0)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, 0))),
% 54.08/34.26 inference(rewrite,[status(thm)],[])).
% 54.08/34.26 tff(14810,plain,
% 54.08/34.26 (((~nextState(constB74, constB75)) | (~v90(constB74, 0)) | v100(constB75) | v90(constB75, 0)) <=> ((~v90(constB74, 0)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, 0))),
% 54.08/34.26 inference(rewrite,[status(thm)],[])).
% 54.08/34.26 tff(14811,plain,
% 54.08/34.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB74, constB75)) | (~v90(constB74, 0)) | v100(constB75) | v90(constB75, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB74, 0)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, 0)))),
% 54.08/34.26 inference(monotonicity,[status(thm)],[14810])).
% 54.08/34.26 tff(14812,plain,
% 54.08/34.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB74, constB75)) | (~v90(constB74, 0)) | v100(constB75) | v90(constB75, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB74, 0)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, 0))),
% 54.08/34.26 inference(transitivity,[status(thm)],[14811, 14809])).
% 54.08/34.26 tff(14813,plain,
% 54.08/34.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB74, constB75)) | (~v90(constB74, 0)) | v100(constB75) | v90(constB75, 0))),
% 54.08/34.26 inference(quant_inst,[status(thm)],[])).
% 54.08/34.26 tff(14814,plain,
% 54.08/34.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB74, 0)) | (~nextState(constB74, constB75)) | v100(constB75) | v90(constB75, 0)),
% 54.08/34.26 inference(modus_ponens,[status(thm)],[14813, 14812])).
% 54.08/34.26 tff(14815,plain,
% 54.08/34.26 ((~v90(constB74, 0)) | v100(constB75) | v90(constB75, 0)),
% 54.08/34.26 inference(unit_resolution,[status(thm)],[14814, 1395, 14733])).
% 54.08/34.26 tff(14816,plain,
% 54.08/34.26 ((~v90(constB74, 0)) | v90(constB75, 0)),
% 54.08/34.26 inference(unit_resolution,[status(thm)],[14815, 14745])).
% 54.08/34.26 tff(14817,plain,
% 54.08/34.26 (v90(constB75, 0)),
% 54.08/34.26 inference(unit_resolution,[status(thm)],[14816, 14808])).
% 54.08/34.26 tff(14818,plain,
% 54.08/34.26 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB75, 0)) | v90(constB75, 1) | v90(constB75, 2) | v120(constB75))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB75, 0)) | v90(constB75, 1) | v90(constB75, 2) | v120(constB75))),
% 54.08/34.26 inference(rewrite,[status(thm)],[])).
% 54.08/34.26 tff(14819,plain,
% 54.08/34.26 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB75, 0)) | v90(constB75, 1) | v90(constB75, 2) | v120(constB75))),
% 54.08/34.26 inference(quant_inst,[status(thm)],[])).
% 54.08/34.26 tff(14820,plain,
% 54.08/34.26 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB75, 0)) | v90(constB75, 1) | v90(constB75, 2) | v120(constB75)),
% 54.08/34.26 inference(modus_ponens,[status(thm)],[14819, 14818])).
% 54.08/34.26 tff(14821,plain,
% 54.08/34.26 (v120(constB75)),
% 54.08/34.26 inference(unit_resolution,[status(thm)],[14820, 1414, 14817, 14787, 14754])).
% 54.08/34.26 tff(14822,plain,
% 54.08/34.26 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB75) | (~v120(constB75)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB75) | (~v120(constB75)))),
% 54.08/34.26 inference(rewrite,[status(thm)],[])).
% 54.08/34.26 tff(14823,plain,
% 54.08/34.26 (((~v120(constB75)) | v118(constB75)) <=> (v118(constB75) | (~v120(constB75)))),
% 54.08/34.26 inference(rewrite,[status(thm)],[])).
% 54.08/34.26 tff(14824,plain,
% 54.08/34.26 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB75)) | v118(constB75))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB75) | (~v120(constB75))))),
% 54.08/34.26 inference(monotonicity,[status(thm)],[14823])).
% 54.08/34.26 tff(14825,plain,
% 54.08/34.26 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB75)) | v118(constB75))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB75) | (~v120(constB75)))),
% 54.08/34.26 inference(transitivity,[status(thm)],[14824, 14822])).
% 54.08/34.26 tff(14826,plain,
% 54.08/34.26 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB75)) | v118(constB75))),
% 54.08/34.26 inference(quant_inst,[status(thm)],[])).
% 54.08/34.26 tff(14827,plain,
% 54.08/34.26 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB75) | (~v120(constB75))),
% 54.08/34.26 inference(modus_ponens,[status(thm)],[14826, 14825])).
% 54.08/34.26 tff(14828,plain,
% 54.08/34.26 (v118(constB75)),
% 54.08/34.26 inference(unit_resolution,[status(thm)],[14827, 1425, 14821])).
% 54.08/34.26 tff(14829,plain,
% 54.08/34.26 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB75) | (~v118(constB75)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB75) | (~v118(constB75)))),
% 54.08/34.26 inference(rewrite,[status(thm)],[])).
% 54.08/34.26 tff(14830,plain,
% 54.08/34.26 (((~v118(constB75)) | v117(constB75)) <=> (v117(constB75) | (~v118(constB75)))),
% 54.08/34.26 inference(rewrite,[status(thm)],[])).
% 54.08/34.26 tff(14831,plain,
% 54.08/34.26 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB75)) | v117(constB75))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB75) | (~v118(constB75))))),
% 54.08/34.26 inference(monotonicity,[status(thm)],[14830])).
% 54.08/34.26 tff(14832,plain,
% 54.08/34.26 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB75)) | v117(constB75))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB75) | (~v118(constB75)))),
% 54.08/34.26 inference(transitivity,[status(thm)],[14831, 14829])).
% 54.08/34.26 tff(14833,plain,
% 54.08/34.26 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB75)) | v117(constB75))),
% 54.08/34.26 inference(quant_inst,[status(thm)],[])).
% 54.08/34.26 tff(14834,plain,
% 54.08/34.26 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB75) | (~v118(constB75))),
% 54.08/34.26 inference(modus_ponens,[status(thm)],[14833, 14832])).
% 54.08/34.26 tff(14835,plain,
% 54.08/34.26 (v117(constB75)),
% 54.08/34.26 inference(unit_resolution,[status(thm)],[14834, 993, 14828])).
% 54.08/34.26 tff(14836,plain,
% 54.08/34.26 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB75) | (~v117(constB75)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB75) | (~v117(constB75)))),
% 54.08/34.26 inference(rewrite,[status(thm)],[])).
% 54.08/34.26 tff(14837,plain,
% 54.08/34.26 (((~v117(constB75)) | v116(constB75)) <=> (v116(constB75) | (~v117(constB75)))),
% 54.08/34.26 inference(rewrite,[status(thm)],[])).
% 54.08/34.26 tff(14838,plain,
% 54.08/34.26 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB75)) | v116(constB75))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB75) | (~v117(constB75))))),
% 54.08/34.26 inference(monotonicity,[status(thm)],[14837])).
% 54.08/34.26 tff(14839,plain,
% 54.08/34.26 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB75)) | v116(constB75))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB75) | (~v117(constB75)))),
% 54.08/34.26 inference(transitivity,[status(thm)],[14838, 14836])).
% 54.08/34.26 tff(14840,plain,
% 54.08/34.26 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB75)) | v116(constB75))),
% 54.08/34.26 inference(quant_inst,[status(thm)],[])).
% 54.08/34.26 tff(14841,plain,
% 54.08/34.26 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB75) | (~v117(constB75))),
% 54.08/34.26 inference(modus_ponens,[status(thm)],[14840, 14839])).
% 54.08/34.26 tff(14842,plain,
% 54.08/34.26 (v116(constB75)),
% 54.08/34.26 inference(unit_resolution,[status(thm)],[14841, 1007, 14835])).
% 54.08/34.26 tff(14843,plain,
% 54.08/34.26 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB75)) | v115(constB75))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB75)) | v115(constB75))),
% 54.08/34.26 inference(rewrite,[status(thm)],[])).
% 54.08/34.26 tff(14844,plain,
% 54.08/34.26 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB75)) | v115(constB75))),
% 54.08/34.26 inference(quant_inst,[status(thm)],[])).
% 54.08/34.26 tff(14845,plain,
% 54.08/34.26 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB75)) | v115(constB75)),
% 54.08/34.26 inference(modus_ponens,[status(thm)],[14844, 14843])).
% 54.08/34.26 tff(14846,plain,
% 54.08/34.26 (v115(constB75)),
% 54.08/34.26 inference(unit_resolution,[status(thm)],[14845, 1021, 14842])).
% 54.08/34.26 tff(14847,plain,
% 54.08/34.26 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB75) | (~v115(constB75)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB75) | (~v115(constB75)))),
% 54.08/34.26 inference(rewrite,[status(thm)],[])).
% 54.08/34.26 tff(14848,plain,
% 54.08/34.26 (((~v115(constB75)) | v114(constB75)) <=> (v114(constB75) | (~v115(constB75)))),
% 54.08/34.26 inference(rewrite,[status(thm)],[])).
% 54.08/34.26 tff(14849,plain,
% 54.08/34.26 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB75)) | v114(constB75))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB75) | (~v115(constB75))))),
% 54.08/34.26 inference(monotonicity,[status(thm)],[14848])).
% 54.08/34.26 tff(14850,plain,
% 54.08/34.26 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB75)) | v114(constB75))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB75) | (~v115(constB75)))),
% 54.08/34.26 inference(transitivity,[status(thm)],[14849, 14847])).
% 54.08/34.26 tff(14851,plain,
% 54.08/34.26 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB75)) | v114(constB75))),
% 54.08/34.26 inference(quant_inst,[status(thm)],[])).
% 54.08/34.26 tff(14852,plain,
% 54.08/34.26 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB75) | (~v115(constB75))),
% 54.08/34.26 inference(modus_ponens,[status(thm)],[14851, 14850])).
% 54.08/34.26 tff(14853,plain,
% 54.08/34.26 (v114(constB75)),
% 54.08/34.26 inference(unit_resolution,[status(thm)],[14852, 1035, 14846])).
% 54.08/34.26 tff(14854,plain,
% 54.08/34.26 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB75) | (~v114(constB75)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB75) | (~v114(constB75)))),
% 54.08/34.26 inference(rewrite,[status(thm)],[])).
% 54.08/34.26 tff(14855,plain,
% 54.08/34.26 (((~v114(constB75)) | v113(constB75)) <=> (v113(constB75) | (~v114(constB75)))),
% 54.08/34.26 inference(rewrite,[status(thm)],[])).
% 54.08/34.26 tff(14856,plain,
% 54.08/34.26 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB75)) | v113(constB75))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB75) | (~v114(constB75))))),
% 54.08/34.26 inference(monotonicity,[status(thm)],[14855])).
% 54.08/34.26 tff(14857,plain,
% 54.08/34.26 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB75)) | v113(constB75))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB75) | (~v114(constB75)))),
% 54.08/34.26 inference(transitivity,[status(thm)],[14856, 14854])).
% 54.08/34.26 tff(14858,plain,
% 54.08/34.26 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB75)) | v113(constB75))),
% 54.08/34.26 inference(quant_inst,[status(thm)],[])).
% 54.08/34.26 tff(14859,plain,
% 54.08/34.26 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB75) | (~v114(constB75))),
% 54.08/34.26 inference(modus_ponens,[status(thm)],[14858, 14857])).
% 54.08/34.26 tff(14860,plain,
% 54.08/34.26 (v113(constB75)),
% 54.08/34.26 inference(unit_resolution,[status(thm)],[14859, 1049, 14853])).
% 54.08/34.26 tff(14861,assumption,(v26(constB75)), introduced(assumption)).
% 54.08/34.26 tff(14862,plain,
% 54.08/34.26 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB75))),
% 54.08/34.26 inference(quant_inst,[status(thm)],[])).
% 54.08/34.26 tff(14863,plain,
% 54.08/34.26 ($false),
% 54.08/34.26 inference(unit_resolution,[status(thm)],[14862, 828, 14861])).
% 54.08/34.26 tff(14864,plain,(~v26(constB75)), inference(lemma,lemma(discharge,[]))).
% 54.08/34.26 tff(14865,plain,
% 54.08/34.26 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB75) | (~v113(constB75)) | v112(constB75))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB75) | (~v113(constB75)) | v112(constB75))),
% 54.08/34.26 inference(rewrite,[status(thm)],[])).
% 54.08/34.26 tff(14866,plain,
% 54.08/34.26 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB75) | (~v113(constB75)) | v112(constB75))),
% 54.08/34.26 inference(quant_inst,[status(thm)],[])).
% 54.08/34.26 tff(14867,plain,
% 54.08/34.26 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB75) | (~v113(constB75)) | v112(constB75)),
% 54.08/34.26 inference(modus_ponens,[status(thm)],[14866, 14865])).
% 54.08/34.26 tff(14868,plain,
% 54.08/34.26 ((~v113(constB75)) | v112(constB75)),
% 54.08/34.26 inference(unit_resolution,[status(thm)],[14867, 1063, 14864])).
% 54.08/34.26 tff(14869,plain,
% 54.08/34.26 (v112(constB75)),
% 54.08/34.26 inference(unit_resolution,[status(thm)],[14868, 14860])).
% 54.08/34.26 tff(14870,plain,
% 54.08/34.26 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB75) | (~v112(constB75)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB75) | (~v112(constB75)))),
% 54.08/34.26 inference(rewrite,[status(thm)],[])).
% 54.08/34.26 tff(14871,plain,
% 54.08/34.26 (((~v112(constB75)) | v108(constB75)) <=> (v108(constB75) | (~v112(constB75)))),
% 54.08/34.26 inference(rewrite,[status(thm)],[])).
% 54.08/34.26 tff(14872,plain,
% 54.08/34.26 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB75)) | v108(constB75))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB75) | (~v112(constB75))))),
% 54.08/34.26 inference(monotonicity,[status(thm)],[14871])).
% 54.08/34.26 tff(14873,plain,
% 54.08/34.26 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB75)) | v108(constB75))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB75) | (~v112(constB75)))),
% 54.08/34.26 inference(transitivity,[status(thm)],[14872, 14870])).
% 54.08/34.26 tff(14874,plain,
% 54.08/34.26 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB75)) | v108(constB75))),
% 54.08/34.26 inference(quant_inst,[status(thm)],[])).
% 54.08/34.26 tff(14875,plain,
% 54.08/34.26 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB75) | (~v112(constB75))),
% 54.08/34.26 inference(modus_ponens,[status(thm)],[14874, 14873])).
% 54.08/34.26 tff(14876,plain,
% 54.08/34.26 (v108(constB75)),
% 54.08/34.26 inference(unit_resolution,[status(thm)],[14875, 1075, 14869])).
% 54.08/34.26 tff(14877,plain,
% 54.08/34.26 (nextState(constB75, constB76) <=> nextState(constB75, constB76)),
% 54.08/34.26 inference(rewrite,[status(thm)],[])).
% 54.08/34.26 tff(14878,axiom,(nextState(constB75, constB76)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_75_1')).
% 54.08/34.26 tff(14879,plain,
% 54.08/34.26 (nextState(constB75, constB76)),
% 54.08/34.26 inference(modus_ponens,[status(thm)],[14878, 14877])).
% 54.08/34.26 tff(14880,plain,
% 54.08/34.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75)))),
% 54.08/34.26 inference(rewrite,[status(thm)],[])).
% 54.08/34.26 tff(14881,plain,
% 54.08/34.26 (((~nextState(constB75, constB76)) | (~v108(constB75)) | v110(constB76)) <=> ((~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75)))),
% 54.08/34.26 inference(rewrite,[status(thm)],[])).
% 54.08/34.26 tff(14882,plain,
% 54.08/34.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | (~v108(constB75)) | v110(constB76))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75))))),
% 54.08/34.26 inference(monotonicity,[status(thm)],[14881])).
% 54.08/34.26 tff(14883,plain,
% 54.08/34.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | (~v108(constB75)) | v110(constB76))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75)))),
% 54.08/34.26 inference(transitivity,[status(thm)],[14882, 14880])).
% 54.08/34.26 tff(14884,plain,
% 54.08/34.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB75, constB76)) | (~v108(constB75)) | v110(constB76))),
% 54.08/34.26 inference(quant_inst,[status(thm)],[])).
% 54.08/34.26 tff(14885,plain,
% 54.08/34.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB75, constB76)) | v110(constB76) | (~v108(constB75))),
% 54.08/34.26 inference(modus_ponens,[status(thm)],[14884, 14883])).
% 54.08/34.26 tff(14886,plain,
% 54.08/34.26 (v110(constB76) | (~v108(constB75))),
% 54.08/34.26 inference(unit_resolution,[status(thm)],[14885, 1095, 14879])).
% 54.08/34.26 tff(14887,plain,
% 54.08/34.26 (v110(constB76)),
% 54.08/34.26 inference(unit_resolution,[status(thm)],[14886, 14876])).
% 54.08/34.26 tff(14888,plain,
% 54.08/34.26 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB75) | (~nextState(constB75, constB76)) | (~v104(constB76)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB75) | (~nextState(constB75, constB76)) | (~v104(constB76)))),
% 54.08/34.26 inference(rewrite,[status(thm)],[])).
% 54.08/34.26 tff(14889,plain,
% 54.08/34.26 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB75) | (~nextState(constB75, constB76)) | (~v104(constB76)))),
% 54.08/34.26 inference(quant_inst,[status(thm)],[])).
% 54.08/34.26 tff(14890,plain,
% 54.08/34.26 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB75) | (~nextState(constB75, constB76)) | (~v104(constB76))),
% 54.08/34.26 inference(modus_ponens,[status(thm)],[14889, 14888])).
% 54.08/34.26 tff(14891,plain,
% 54.08/34.26 (~v104(constB76)),
% 54.08/34.26 inference(unit_resolution,[status(thm)],[14890, 1113, 14879, 14730])).
% 54.08/34.26 tff(14892,plain,
% 54.08/34.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB75, constB76)) | v102(constB76) | v104(constB76))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB75, constB76)) | v102(constB76) | v104(constB76))),
% 54.08/34.26 inference(rewrite,[status(thm)],[])).
% 54.08/34.26 tff(14893,plain,
% 54.08/34.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB75, constB76)) | v102(constB76) | v104(constB76))),
% 54.08/34.26 inference(quant_inst,[status(thm)],[])).
% 54.08/34.26 tff(14894,plain,
% 54.08/34.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB75, constB76)) | v102(constB76) | v104(constB76)),
% 54.08/34.26 inference(modus_ponens,[status(thm)],[14893, 14892])).
% 54.08/34.26 tff(14895,plain,
% 54.08/34.26 (v102(constB76) | v104(constB76)),
% 54.08/34.26 inference(unit_resolution,[status(thm)],[14894, 1127, 14879])).
% 54.08/34.26 tff(14896,plain,
% 54.08/34.26 (v102(constB76)),
% 54.08/34.26 inference(unit_resolution,[status(thm)],[14895, 14891])).
% 54.08/34.26 tff(14897,plain,
% 54.08/34.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB75, constB76)) | v101(constB76) | (~v102(constB76)) | (~v1(constB76)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB75, constB76)) | v101(constB76) | (~v102(constB76)) | (~v1(constB76)))),
% 54.08/34.26 inference(rewrite,[status(thm)],[])).
% 54.08/34.26 tff(14898,plain,
% 54.08/34.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB75, constB76)) | v101(constB76) | (~v102(constB76)) | (~v1(constB76)))),
% 54.08/34.26 inference(quant_inst,[status(thm)],[])).
% 54.08/34.26 tff(14899,plain,
% 54.08/34.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB75, constB76)) | v101(constB76) | (~v102(constB76)) | (~v1(constB76))),
% 54.08/34.26 inference(modus_ponens,[status(thm)],[14898, 14897])).
% 54.08/34.26 tff(14900,plain,
% 54.08/34.26 (v101(constB76) | (~v102(constB76))),
% 54.08/34.26 inference(unit_resolution,[status(thm)],[14899, 1145, 14879, 299])).
% 54.08/34.26 tff(14901,plain,
% 54.08/34.26 (v101(constB76)),
% 54.08/34.26 inference(unit_resolution,[status(thm)],[14900, 14896])).
% 54.08/34.26 tff(14902,plain,
% 54.08/34.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76)))),
% 54.08/34.26 inference(rewrite,[status(thm)],[])).
% 54.08/34.26 tff(14903,plain,
% 54.08/34.26 (((~nextState(constB75, constB76)) | (~v101(constB76)) | (~v110(constB76)) | v100(constB76)) <=> ((~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76)))),
% 54.08/34.26 inference(rewrite,[status(thm)],[])).
% 54.08/34.26 tff(14904,plain,
% 54.08/34.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | (~v101(constB76)) | (~v110(constB76)) | v100(constB76))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76))))),
% 54.08/34.26 inference(monotonicity,[status(thm)],[14903])).
% 54.08/34.26 tff(14905,plain,
% 54.08/34.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | (~v101(constB76)) | (~v110(constB76)) | v100(constB76))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76)))),
% 54.08/34.26 inference(transitivity,[status(thm)],[14904, 14902])).
% 54.08/34.26 tff(14906,plain,
% 54.08/34.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB75, constB76)) | (~v101(constB76)) | (~v110(constB76)) | v100(constB76))),
% 54.08/34.26 inference(quant_inst,[status(thm)],[])).
% 54.08/34.26 tff(14907,plain,
% 54.08/34.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB75, constB76)) | v100(constB76) | (~v101(constB76)) | (~v110(constB76))),
% 54.08/34.26 inference(modus_ponens,[status(thm)],[14906, 14905])).
% 54.08/34.26 tff(14908,plain,
% 54.08/34.26 (v100(constB76) | (~v101(constB76)) | (~v110(constB76))),
% 54.08/34.26 inference(unit_resolution,[status(thm)],[14907, 1160, 14879])).
% 54.08/34.26 tff(14909,plain,
% 54.08/34.26 (v100(constB76) | (~v110(constB76))),
% 54.08/34.26 inference(unit_resolution,[status(thm)],[14908, 14901])).
% 54.08/34.26 tff(14910,plain,
% 54.08/34.26 (v100(constB76)),
% 54.08/34.26 inference(unit_resolution,[status(thm)],[14909, 14887])).
% 54.08/34.26 tff(14911,plain,
% 54.08/34.26 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB75)) | (~v130(constB75, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB75)) | (~v130(constB75, 2)))),
% 54.08/34.26 inference(rewrite,[status(thm)],[])).
% 54.08/34.26 tff(14912,plain,
% 54.08/34.26 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB75)) | (~v130(constB75, 2)))),
% 54.08/34.26 inference(quant_inst,[status(thm)],[])).
% 54.08/34.26 tff(14913,plain,
% 54.08/34.26 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB75)) | (~v130(constB75, 2))),
% 54.08/34.26 inference(modus_ponens,[status(thm)],[14912, 14911])).
% 54.08/34.26 tff(14914,plain,
% 54.08/34.26 (~v130(constB75, 2)),
% 54.08/34.26 inference(unit_resolution,[status(thm)],[14913, 1523, 14821])).
% 54.08/34.26 tff(14915,plain,
% 54.08/34.26 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB75, 2)) | v26(constB75) | v130(constB75, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB75, 2)) | v26(constB75) | v130(constB75, 2))),
% 54.08/34.26 inference(rewrite,[status(thm)],[])).
% 54.08/34.26 tff(14916,plain,
% 54.08/34.26 ((v26(constB75) | v130(constB75, 2) | (~v127(constB75, 2))) <=> ((~v127(constB75, 2)) | v26(constB75) | v130(constB75, 2))),
% 54.08/34.26 inference(rewrite,[status(thm)],[])).
% 54.08/34.26 tff(14917,plain,
% 54.08/34.26 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB75) | v130(constB75, 2) | (~v127(constB75, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB75, 2)) | v26(constB75) | v130(constB75, 2)))),
% 54.08/34.26 inference(monotonicity,[status(thm)],[14916])).
% 54.08/34.26 tff(14918,plain,
% 54.08/34.26 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB75) | v130(constB75, 2) | (~v127(constB75, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB75, 2)) | v26(constB75) | v130(constB75, 2))),
% 54.08/34.26 inference(transitivity,[status(thm)],[14917, 14915])).
% 54.08/34.26 tff(14919,plain,
% 54.08/34.26 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB75) | v130(constB75, 2) | (~v127(constB75, 2)))),
% 54.08/34.26 inference(quant_inst,[status(thm)],[])).
% 54.08/34.26 tff(14920,plain,
% 54.08/34.26 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB75, 2)) | v26(constB75) | v130(constB75, 2)),
% 54.08/34.26 inference(modus_ponens,[status(thm)],[14919, 14918])).
% 54.08/34.26 tff(14921,plain,
% 54.08/34.26 ((~v127(constB75, 2)) | v130(constB75, 2)),
% 54.08/34.26 inference(unit_resolution,[status(thm)],[14920, 1190, 14864])).
% 54.08/34.26 tff(14922,plain,
% 54.08/34.26 (~v127(constB75, 2)),
% 54.08/34.26 inference(unit_resolution,[status(thm)],[14921, 14914])).
% 54.08/34.26 tff(14923,plain,
% 54.08/34.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB75, constB76)) | v127(constB75, 2) | (~v129(constB76, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB75, constB76)) | v127(constB75, 2) | (~v129(constB76, 2)))),
% 54.08/34.26 inference(rewrite,[status(thm)],[])).
% 54.08/34.26 tff(14924,plain,
% 54.08/34.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB75, constB76)) | v127(constB75, 2) | (~v129(constB76, 2)))),
% 54.08/34.26 inference(quant_inst,[status(thm)],[])).
% 54.08/34.26 tff(14925,plain,
% 54.08/34.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB75, constB76)) | v127(constB75, 2) | (~v129(constB76, 2))),
% 54.08/34.26 inference(modus_ponens,[status(thm)],[14924, 14923])).
% 54.08/34.26 tff(14926,plain,
% 54.08/34.26 (v127(constB75, 2) | (~v129(constB76, 2))),
% 54.08/34.26 inference(unit_resolution,[status(thm)],[14925, 1208, 14879])).
% 54.08/34.26 tff(14927,plain,
% 54.08/34.26 (~v129(constB76, 2)),
% 54.08/34.26 inference(unit_resolution,[status(thm)],[14926, 14922])).
% 54.08/34.26 tff(14928,plain,
% 54.08/34.26 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB76, 2)) | v129(constB76, 2) | (~v100(constB76)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB76, 2)) | v129(constB76, 2) | (~v100(constB76)))),
% 54.08/34.26 inference(rewrite,[status(thm)],[])).
% 54.08/34.26 tff(14929,plain,
% 54.08/34.26 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB76, 2)) | v129(constB76, 2) | (~v100(constB76)))),
% 54.08/34.26 inference(quant_inst,[status(thm)],[])).
% 54.08/34.26 tff(14930,plain,
% 54.08/34.26 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB76, 2)) | v129(constB76, 2) | (~v100(constB76))),
% 54.08/34.26 inference(modus_ponens,[status(thm)],[14929, 14928])).
% 54.08/34.26 tff(14931,plain,
% 54.08/34.26 ((~v90(constB76, 2)) | (~v100(constB76))),
% 54.08/34.26 inference(unit_resolution,[status(thm)],[14930, 1223, 14927])).
% 54.08/34.26 tff(14932,plain,
% 54.08/34.26 (~v90(constB76, 2)),
% 54.08/34.26 inference(unit_resolution,[status(thm)],[14931, 14910])).
% 54.08/34.26 tff(14933,plain,
% 54.08/34.26 ((~v1(constB77)) <=> (~v1(constB77))),
% 54.08/34.26 inference(rewrite,[status(thm)],[])).
% 54.08/34.26 tff(14934,axiom,(~v1(constB77)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_77_1_1')).
% 54.08/34.26 tff(14935,plain,
% 54.08/34.26 (~v1(constB77)),
% 54.08/34.26 inference(modus_ponens,[status(thm)],[14934, 14933])).
% 54.08/34.26 tff(14936,plain,
% 54.08/34.26 (nextState(constB76, constB77) <=> nextState(constB76, constB77)),
% 54.08/34.26 inference(rewrite,[status(thm)],[])).
% 54.08/34.26 tff(14937,axiom,(nextState(constB76, constB77)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_76_1')).
% 54.08/34.26 tff(14938,plain,
% 54.08/34.26 (nextState(constB76, constB77)),
% 54.08/34.26 inference(modus_ponens,[status(thm)],[14937, 14936])).
% 54.08/34.26 tff(14939,plain,
% 54.08/34.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77)))),
% 54.08/34.26 inference(rewrite,[status(thm)],[])).
% 54.08/34.26 tff(14940,plain,
% 54.08/34.26 (((~nextState(constB76, constB77)) | (~v101(constB77)) | v1(constB77)) <=> (v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77)))),
% 54.08/34.26 inference(rewrite,[status(thm)],[])).
% 54.08/34.26 tff(14941,plain,
% 54.08/34.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB76, constB77)) | (~v101(constB77)) | v1(constB77))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77))))),
% 54.08/34.26 inference(monotonicity,[status(thm)],[14940])).
% 54.08/34.26 tff(14942,plain,
% 54.08/34.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB76, constB77)) | (~v101(constB77)) | v1(constB77))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77)))),
% 54.08/34.26 inference(transitivity,[status(thm)],[14941, 14939])).
% 54.08/34.26 tff(14943,plain,
% 54.08/34.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB76, constB77)) | (~v101(constB77)) | v1(constB77))),
% 54.08/34.26 inference(quant_inst,[status(thm)],[])).
% 54.08/34.26 tff(14944,plain,
% 54.08/34.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB77) | (~nextState(constB76, constB77)) | (~v101(constB77))),
% 54.08/34.26 inference(modus_ponens,[status(thm)],[14943, 14942])).
% 54.08/34.26 tff(14945,plain,
% 54.08/34.26 (~v101(constB77)),
% 54.08/34.26 inference(unit_resolution,[status(thm)],[14944, 873, 14938, 14935])).
% 54.08/34.26 tff(14946,plain,
% 54.08/34.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB76, constB77)) | v101(constB77) | (~v100(constB77)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB76, constB77)) | v101(constB77) | (~v100(constB77)))),
% 54.08/34.26 inference(rewrite,[status(thm)],[])).
% 54.08/34.26 tff(14947,plain,
% 54.08/34.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB76, constB77)) | v101(constB77) | (~v100(constB77)))),
% 54.08/34.26 inference(quant_inst,[status(thm)],[])).
% 54.08/34.26 tff(14948,plain,
% 54.08/34.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB76, constB77)) | v101(constB77) | (~v100(constB77))),
% 54.08/34.26 inference(modus_ponens,[status(thm)],[14947, 14946])).
% 54.08/34.26 tff(14949,plain,
% 54.08/34.26 (v101(constB77) | (~v100(constB77))),
% 54.08/34.26 inference(unit_resolution,[status(thm)],[14948, 890, 14938])).
% 54.08/34.26 tff(14950,plain,
% 54.08/34.26 (~v100(constB77)),
% 54.08/34.26 inference(unit_resolution,[status(thm)],[14949, 14945])).
% 54.08/34.26 tff(14951,plain,
% 54.08/34.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB76, 2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB76, 2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, 2)))),
% 54.08/34.27 inference(rewrite,[status(thm)],[])).
% 54.08/34.27 tff(14952,plain,
% 54.08/34.27 (((~nextState(constB76, constB77)) | v90(constB76, 2) | v100(constB77) | (~v90(constB77, 2))) <=> (v90(constB76, 2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, 2)))),
% 54.08/34.27 inference(rewrite,[status(thm)],[])).
% 54.08/34.27 tff(14953,plain,
% 54.08/34.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB76, constB77)) | v90(constB76, 2) | v100(constB77) | (~v90(constB77, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB76, 2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, 2))))),
% 54.08/34.27 inference(monotonicity,[status(thm)],[14952])).
% 54.08/34.27 tff(14954,plain,
% 54.08/34.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB76, constB77)) | v90(constB76, 2) | v100(constB77) | (~v90(constB77, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB76, 2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, 2)))),
% 54.08/34.27 inference(transitivity,[status(thm)],[14953, 14951])).
% 54.08/34.27 tff(14955,plain,
% 54.08/34.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB76, constB77)) | v90(constB76, 2) | v100(constB77) | (~v90(constB77, 2)))),
% 54.08/34.27 inference(quant_inst,[status(thm)],[])).
% 54.08/34.27 tff(14956,plain,
% 54.08/34.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB76, 2) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, 2))),
% 54.08/34.27 inference(modus_ponens,[status(thm)],[14955, 14954])).
% 54.08/34.27 tff(14957,plain,
% 54.08/34.27 (v90(constB76, 2) | v100(constB77) | (~v90(constB77, 2))),
% 54.08/34.27 inference(unit_resolution,[status(thm)],[14956, 905, 14938])).
% 54.08/34.27 tff(14958,plain,
% 54.08/34.27 (v90(constB76, 2) | (~v90(constB77, 2))),
% 54.08/34.27 inference(unit_resolution,[status(thm)],[14957, 14950])).
% 54.08/34.27 tff(14959,plain,
% 54.08/34.27 (~v90(constB77, 2)),
% 54.08/34.27 inference(unit_resolution,[status(thm)],[14958, 14932])).
% 54.08/34.27 tff(14960,plain,
% 54.08/34.27 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB75)) | v130(constB75, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB75)) | v130(constB75, 1))),
% 54.08/34.27 inference(rewrite,[status(thm)],[])).
% 54.08/34.27 tff(14961,plain,
% 54.08/34.27 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB75)) | v130(constB75, 1))),
% 54.08/34.27 inference(quant_inst,[status(thm)],[])).
% 54.08/34.27 tff(14962,plain,
% 54.08/34.27 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB75)) | v130(constB75, 1)),
% 54.08/34.27 inference(modus_ponens,[status(thm)],[14961, 14960])).
% 54.08/34.27 tff(14963,plain,
% 54.08/34.27 (v130(constB75, 1)),
% 54.08/34.27 inference(unit_resolution,[status(thm)],[14962, 1579, 14821])).
% 54.08/34.27 tff(14964,plain,
% 54.08/34.27 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB75) | (~v130(constB75, 1)) | v127(constB75, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB75) | (~v130(constB75, 1)) | v127(constB75, 1))),
% 54.08/34.27 inference(rewrite,[status(thm)],[])).
% 54.08/34.27 tff(14965,plain,
% 54.08/34.27 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB75) | (~v130(constB75, 1)) | v127(constB75, 1))),
% 54.08/34.27 inference(quant_inst,[status(thm)],[])).
% 54.08/34.27 tff(14966,plain,
% 54.08/34.27 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB75) | (~v130(constB75, 1)) | v127(constB75, 1)),
% 54.08/34.27 inference(modus_ponens,[status(thm)],[14965, 14964])).
% 54.08/34.27 tff(14967,plain,
% 54.08/34.27 ((~v130(constB75, 1)) | v127(constB75, 1)),
% 54.08/34.27 inference(unit_resolution,[status(thm)],[14966, 1593, 14864])).
% 54.08/34.27 tff(14968,plain,
% 54.08/34.27 (v127(constB75, 1)),
% 54.08/34.27 inference(unit_resolution,[status(thm)],[14967, 14963])).
% 54.08/34.27 tff(14969,plain,
% 54.08/34.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB75, constB76)) | (~v127(constB75, 1)) | v129(constB76, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB75, constB76)) | (~v127(constB75, 1)) | v129(constB76, 1))),
% 54.08/34.27 inference(rewrite,[status(thm)],[])).
% 54.08/34.27 tff(14970,plain,
% 54.08/34.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB75, constB76)) | (~v127(constB75, 1)) | v129(constB76, 1))),
% 54.08/34.27 inference(quant_inst,[status(thm)],[])).
% 54.08/34.27 tff(14971,plain,
% 54.08/34.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB75, constB76)) | (~v127(constB75, 1)) | v129(constB76, 1)),
% 54.08/34.27 inference(modus_ponens,[status(thm)],[14970, 14969])).
% 54.08/34.27 tff(14972,plain,
% 54.08/34.27 ((~v127(constB75, 1)) | v129(constB76, 1)),
% 54.08/34.27 inference(unit_resolution,[status(thm)],[14971, 1608, 14879])).
% 54.08/34.27 tff(14973,plain,
% 54.08/34.27 (v129(constB76, 1)),
% 54.08/34.27 inference(unit_resolution,[status(thm)],[14972, 14968])).
% 54.08/34.27 tff(14974,plain,
% 54.08/34.27 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB76, 1) | (~v129(constB76, 1)) | (~v100(constB76)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB76, 1) | (~v129(constB76, 1)) | (~v100(constB76)))),
% 54.08/34.27 inference(rewrite,[status(thm)],[])).
% 54.08/34.27 tff(14975,plain,
% 54.08/34.27 ((v90(constB76, 1) | (~v100(constB76)) | (~v129(constB76, 1))) <=> (v90(constB76, 1) | (~v129(constB76, 1)) | (~v100(constB76)))),
% 54.08/34.27 inference(rewrite,[status(thm)],[])).
% 54.08/34.27 tff(14976,plain,
% 54.08/34.27 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB76, 1) | (~v100(constB76)) | (~v129(constB76, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB76, 1) | (~v129(constB76, 1)) | (~v100(constB76))))),
% 54.08/34.27 inference(monotonicity,[status(thm)],[14975])).
% 54.08/34.27 tff(14977,plain,
% 54.08/34.27 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB76, 1) | (~v100(constB76)) | (~v129(constB76, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB76, 1) | (~v129(constB76, 1)) | (~v100(constB76)))),
% 54.08/34.27 inference(transitivity,[status(thm)],[14976, 14974])).
% 54.08/34.27 tff(14978,plain,
% 54.08/34.27 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB76, 1) | (~v100(constB76)) | (~v129(constB76, 1)))),
% 54.08/34.27 inference(quant_inst,[status(thm)],[])).
% 54.08/34.27 tff(14979,plain,
% 54.08/34.27 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB76, 1) | (~v129(constB76, 1)) | (~v100(constB76))),
% 54.08/34.27 inference(modus_ponens,[status(thm)],[14978, 14977])).
% 54.08/34.27 tff(14980,plain,
% 54.08/34.27 (v90(constB76, 1) | (~v100(constB76))),
% 54.08/34.27 inference(unit_resolution,[status(thm)],[14979, 1623, 14973])).
% 54.08/34.27 tff(14981,plain,
% 54.08/34.27 (v90(constB76, 1)),
% 54.08/34.27 inference(unit_resolution,[status(thm)],[14980, 14910])).
% 54.08/34.27 tff(14982,plain,
% 54.08/34.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB76, 1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB76, 1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, 1))),
% 54.08/34.27 inference(rewrite,[status(thm)],[])).
% 54.08/34.27 tff(14983,plain,
% 54.08/34.27 (((~nextState(constB76, constB77)) | (~v90(constB76, 1)) | v100(constB77) | v90(constB77, 1)) <=> ((~v90(constB76, 1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, 1))),
% 54.08/34.27 inference(rewrite,[status(thm)],[])).
% 54.08/34.27 tff(14984,plain,
% 54.08/34.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB76, constB77)) | (~v90(constB76, 1)) | v100(constB77) | v90(constB77, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB76, 1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, 1)))),
% 54.08/34.27 inference(monotonicity,[status(thm)],[14983])).
% 54.08/34.27 tff(14985,plain,
% 54.08/34.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB76, constB77)) | (~v90(constB76, 1)) | v100(constB77) | v90(constB77, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB76, 1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, 1))),
% 54.08/34.27 inference(transitivity,[status(thm)],[14984, 14982])).
% 54.08/34.27 tff(14986,plain,
% 54.08/34.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB76, constB77)) | (~v90(constB76, 1)) | v100(constB77) | v90(constB77, 1))),
% 54.08/34.27 inference(quant_inst,[status(thm)],[])).
% 54.08/34.27 tff(14987,plain,
% 54.08/34.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB76, 1)) | (~nextState(constB76, constB77)) | v100(constB77) | v90(constB77, 1)),
% 54.08/34.27 inference(modus_ponens,[status(thm)],[14986, 14985])).
% 54.08/34.27 tff(14988,plain,
% 54.08/34.27 ((~v90(constB76, 1)) | v100(constB77) | v90(constB77, 1)),
% 54.08/34.27 inference(unit_resolution,[status(thm)],[14987, 1641, 14938])).
% 54.08/34.27 tff(14989,plain,
% 54.08/34.27 ((~v90(constB76, 1)) | v90(constB77, 1)),
% 54.08/34.27 inference(unit_resolution,[status(thm)],[14988, 14950])).
% 54.08/34.27 tff(14990,plain,
% 54.08/34.27 (v90(constB77, 1)),
% 54.08/34.27 inference(unit_resolution,[status(thm)],[14989, 14981])).
% 54.08/34.27 tff(14991,plain,
% 54.08/34.27 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB75)) | (~v130(constB75, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB75)) | (~v130(constB75, 0)))),
% 54.08/34.27 inference(rewrite,[status(thm)],[])).
% 54.08/34.27 tff(14992,plain,
% 54.08/34.27 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB75)) | (~v130(constB75, 0)))),
% 54.08/34.27 inference(quant_inst,[status(thm)],[])).
% 54.08/34.27 tff(14993,plain,
% 54.08/34.27 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB75)) | (~v130(constB75, 0))),
% 54.08/34.27 inference(modus_ponens,[status(thm)],[14992, 14991])).
% 54.08/34.27 tff(14994,plain,
% 54.08/34.27 (~v130(constB75, 0)),
% 54.08/34.27 inference(unit_resolution,[status(thm)],[14993, 1657, 14821])).
% 54.08/34.27 tff(14995,plain,
% 54.08/34.27 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB75, 0)) | v26(constB75) | v130(constB75, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB75, 0)) | v26(constB75) | v130(constB75, 0))),
% 54.08/34.27 inference(rewrite,[status(thm)],[])).
% 54.08/34.27 tff(14996,plain,
% 54.08/34.27 ((v26(constB75) | v130(constB75, 0) | (~v127(constB75, 0))) <=> ((~v127(constB75, 0)) | v26(constB75) | v130(constB75, 0))),
% 54.08/34.27 inference(rewrite,[status(thm)],[])).
% 54.08/34.27 tff(14997,plain,
% 54.08/34.27 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB75) | v130(constB75, 0) | (~v127(constB75, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB75, 0)) | v26(constB75) | v130(constB75, 0)))),
% 54.08/34.27 inference(monotonicity,[status(thm)],[14996])).
% 54.08/34.27 tff(14998,plain,
% 54.08/34.27 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB75) | v130(constB75, 0) | (~v127(constB75, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB75, 0)) | v26(constB75) | v130(constB75, 0))),
% 54.08/34.27 inference(transitivity,[status(thm)],[14997, 14995])).
% 54.08/34.27 tff(14999,plain,
% 54.08/34.27 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB75) | v130(constB75, 0) | (~v127(constB75, 0)))),
% 54.08/34.27 inference(quant_inst,[status(thm)],[])).
% 54.08/34.27 tff(15000,plain,
% 54.08/34.27 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB75, 0)) | v26(constB75) | v130(constB75, 0)),
% 54.08/34.27 inference(modus_ponens,[status(thm)],[14999, 14998])).
% 54.08/34.27 tff(15001,plain,
% 54.08/34.27 ((~v127(constB75, 0)) | v130(constB75, 0)),
% 54.08/34.27 inference(unit_resolution,[status(thm)],[15000, 1671, 14864])).
% 54.08/34.27 tff(15002,plain,
% 54.08/34.27 (~v127(constB75, 0)),
% 54.08/34.27 inference(unit_resolution,[status(thm)],[15001, 14994])).
% 54.08/34.27 tff(15003,plain,
% 54.08/34.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB75, constB76)) | v127(constB75, 0) | (~v129(constB76, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB75, constB76)) | v127(constB75, 0) | (~v129(constB76, 0)))),
% 54.08/34.27 inference(rewrite,[status(thm)],[])).
% 54.08/34.27 tff(15004,plain,
% 54.08/34.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB75, constB76)) | v127(constB75, 0) | (~v129(constB76, 0)))),
% 54.08/34.27 inference(quant_inst,[status(thm)],[])).
% 54.08/34.27 tff(15005,plain,
% 54.08/34.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB75, constB76)) | v127(constB75, 0) | (~v129(constB76, 0))),
% 54.08/34.27 inference(modus_ponens,[status(thm)],[15004, 15003])).
% 54.08/34.27 tff(15006,plain,
% 54.08/34.27 (v127(constB75, 0) | (~v129(constB76, 0))),
% 54.08/34.27 inference(unit_resolution,[status(thm)],[15005, 1689, 14879])).
% 54.08/34.27 tff(15007,plain,
% 54.08/34.27 (~v129(constB76, 0)),
% 54.08/34.27 inference(unit_resolution,[status(thm)],[15006, 15002])).
% 54.08/34.27 tff(15008,plain,
% 54.08/34.27 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB76, 0)) | v129(constB76, 0) | (~v100(constB76)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB76, 0)) | v129(constB76, 0) | (~v100(constB76)))),
% 54.08/34.27 inference(rewrite,[status(thm)],[])).
% 54.08/34.27 tff(15009,plain,
% 54.08/34.27 (((~v90(constB76, 0)) | (~v100(constB76)) | v129(constB76, 0)) <=> ((~v90(constB76, 0)) | v129(constB76, 0) | (~v100(constB76)))),
% 54.08/34.27 inference(rewrite,[status(thm)],[])).
% 54.08/34.27 tff(15010,plain,
% 54.08/34.27 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB76, 0)) | (~v100(constB76)) | v129(constB76, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB76, 0)) | v129(constB76, 0) | (~v100(constB76))))),
% 54.08/34.27 inference(monotonicity,[status(thm)],[15009])).
% 54.08/34.27 tff(15011,plain,
% 54.08/34.27 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB76, 0)) | (~v100(constB76)) | v129(constB76, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB76, 0)) | v129(constB76, 0) | (~v100(constB76)))),
% 54.08/34.27 inference(transitivity,[status(thm)],[15010, 15008])).
% 54.08/34.27 tff(15012,plain,
% 54.08/34.27 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB76, 0)) | (~v100(constB76)) | v129(constB76, 0))),
% 54.08/34.27 inference(quant_inst,[status(thm)],[])).
% 54.08/34.27 tff(15013,plain,
% 54.08/34.27 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB76, 0)) | v129(constB76, 0) | (~v100(constB76))),
% 54.08/34.27 inference(modus_ponens,[status(thm)],[15012, 15011])).
% 54.08/34.27 tff(15014,plain,
% 54.08/34.27 ((~v90(constB76, 0)) | (~v100(constB76))),
% 54.08/34.27 inference(unit_resolution,[status(thm)],[15013, 1704, 15007])).
% 54.08/34.27 tff(15015,plain,
% 54.08/34.27 (~v90(constB76, 0)),
% 54.08/34.27 inference(unit_resolution,[status(thm)],[15014, 14910])).
% 54.08/34.27 tff(15016,plain,
% 54.08/34.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB76, 0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB76, 0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, 0)))),
% 54.08/34.27 inference(rewrite,[status(thm)],[])).
% 54.08/34.27 tff(15017,plain,
% 54.08/34.27 (((~nextState(constB76, constB77)) | v90(constB76, 0) | v100(constB77) | (~v90(constB77, 0))) <=> (v90(constB76, 0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, 0)))),
% 54.08/34.27 inference(rewrite,[status(thm)],[])).
% 54.08/34.27 tff(15018,plain,
% 54.08/34.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB76, constB77)) | v90(constB76, 0) | v100(constB77) | (~v90(constB77, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB76, 0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, 0))))),
% 54.08/34.27 inference(monotonicity,[status(thm)],[15017])).
% 54.08/34.27 tff(15019,plain,
% 54.08/34.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB76, constB77)) | v90(constB76, 0) | v100(constB77) | (~v90(constB77, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB76, 0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, 0)))),
% 54.08/34.27 inference(transitivity,[status(thm)],[15018, 15016])).
% 54.08/34.27 tff(15020,plain,
% 54.08/34.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB76, constB77)) | v90(constB76, 0) | v100(constB77) | (~v90(constB77, 0)))),
% 54.08/34.27 inference(quant_inst,[status(thm)],[])).
% 54.08/34.27 tff(15021,plain,
% 54.08/34.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB76, 0) | (~nextState(constB76, constB77)) | v100(constB77) | (~v90(constB77, 0))),
% 54.08/34.27 inference(modus_ponens,[status(thm)],[15020, 15019])).
% 54.08/34.27 tff(15022,plain,
% 54.08/34.27 (v90(constB76, 0) | v100(constB77) | (~v90(constB77, 0))),
% 54.08/34.27 inference(unit_resolution,[status(thm)],[15021, 947, 14938])).
% 54.08/34.27 tff(15023,plain,
% 54.08/34.27 (v90(constB76, 0) | (~v90(constB77, 0))),
% 54.08/34.27 inference(unit_resolution,[status(thm)],[15022, 14950])).
% 54.08/34.27 tff(15024,plain,
% 54.08/34.27 (~v90(constB77, 0)),
% 54.08/34.27 inference(unit_resolution,[status(thm)],[15023, 15015])).
% 54.08/34.27 tff(15025,plain,
% 54.08/34.27 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB77, 0) | (~v90(constB77, 1)) | v90(constB77, 2) | v121(constB77))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB77, 0) | (~v90(constB77, 1)) | v90(constB77, 2) | v121(constB77))),
% 54.08/34.27 inference(rewrite,[status(thm)],[])).
% 54.08/34.27 tff(15026,plain,
% 54.08/34.27 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB77, 0) | (~v90(constB77, 1)) | v90(constB77, 2) | v121(constB77))),
% 54.08/34.27 inference(quant_inst,[status(thm)],[])).
% 54.08/34.27 tff(15027,plain,
% 54.08/34.27 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB77, 0) | (~v90(constB77, 1)) | v90(constB77, 2) | v121(constB77)),
% 54.08/34.27 inference(modus_ponens,[status(thm)],[15026, 15025])).
% 54.08/34.27 tff(15028,plain,
% 54.08/34.27 (v121(constB77)),
% 54.08/34.27 inference(unit_resolution,[status(thm)],[15027, 1731, 15024, 14990, 14959])).
% 54.08/34.27 tff(15029,plain,
% 54.08/34.27 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB77)) | v130(constB77, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB77)) | v130(constB77, 1))),
% 54.08/34.27 inference(rewrite,[status(thm)],[])).
% 54.08/34.27 tff(15030,plain,
% 54.08/34.27 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB77)) | v130(constB77, 1))),
% 54.08/34.27 inference(quant_inst,[status(thm)],[])).
% 54.08/34.27 tff(15031,plain,
% 54.08/34.27 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB77)) | v130(constB77, 1)),
% 54.08/34.27 inference(modus_ponens,[status(thm)],[15030, 15029])).
% 54.08/34.27 tff(15032,plain,
% 54.08/34.27 (v130(constB77, 1)),
% 54.08/34.27 inference(unit_resolution,[status(thm)],[15031, 1877, 15028])).
% 54.08/34.27 tff(15033,assumption,(v26(constB77)), introduced(assumption)).
% 54.08/34.27 tff(15034,plain,
% 54.08/34.27 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB77))),
% 54.08/34.27 inference(quant_inst,[status(thm)],[])).
% 54.08/34.27 tff(15035,plain,
% 54.08/34.27 ($false),
% 54.08/34.27 inference(unit_resolution,[status(thm)],[15034, 828, 15033])).
% 54.08/34.27 tff(15036,plain,(~v26(constB77)), inference(lemma,lemma(discharge,[]))).
% 54.08/34.27 tff(15037,plain,
% 54.08/34.27 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB77) | (~v130(constB77, 1)) | v127(constB77, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB77) | (~v130(constB77, 1)) | v127(constB77, 1))),
% 54.08/34.27 inference(rewrite,[status(thm)],[])).
% 54.08/34.27 tff(15038,plain,
% 54.08/34.27 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB77) | (~v130(constB77, 1)) | v127(constB77, 1))),
% 54.08/34.27 inference(quant_inst,[status(thm)],[])).
% 54.08/34.27 tff(15039,plain,
% 54.08/34.27 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB77) | (~v130(constB77, 1)) | v127(constB77, 1)),
% 54.08/34.27 inference(modus_ponens,[status(thm)],[15038, 15037])).
% 54.08/34.27 tff(15040,plain,
% 54.08/34.27 ((~v130(constB77, 1)) | v127(constB77, 1)),
% 54.08/34.27 inference(unit_resolution,[status(thm)],[15039, 1593, 15036])).
% 54.08/34.27 tff(15041,plain,
% 54.08/34.27 (v127(constB77, 1)),
% 54.08/34.27 inference(unit_resolution,[status(thm)],[15040, 15032])).
% 54.08/34.27 tff(15042,plain,
% 54.08/34.27 (nextState(constB77, constB78) <=> nextState(constB77, constB78)),
% 54.08/34.27 inference(rewrite,[status(thm)],[])).
% 54.08/34.27 tff(15043,axiom,(nextState(constB77, constB78)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_77_1')).
% 54.08/34.27 tff(15044,plain,
% 54.08/34.27 (nextState(constB77, constB78)),
% 54.08/34.27 inference(modus_ponens,[status(thm)],[15043, 15042])).
% 54.08/34.27 tff(15045,plain,
% 54.08/34.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB77, constB78)) | (~v127(constB77, 1)) | v129(constB78, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB77, constB78)) | (~v127(constB77, 1)) | v129(constB78, 1))),
% 54.08/34.27 inference(rewrite,[status(thm)],[])).
% 54.08/34.27 tff(15046,plain,
% 54.08/34.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB77, constB78)) | (~v127(constB77, 1)) | v129(constB78, 1))),
% 54.08/34.27 inference(quant_inst,[status(thm)],[])).
% 54.08/34.27 tff(15047,plain,
% 54.08/34.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB77, constB78)) | (~v127(constB77, 1)) | v129(constB78, 1)),
% 54.08/34.27 inference(modus_ponens,[status(thm)],[15046, 15045])).
% 54.08/34.27 tff(15048,plain,
% 54.08/34.27 ((~v127(constB77, 1)) | v129(constB78, 1)),
% 54.08/34.27 inference(unit_resolution,[status(thm)],[15047, 1608, 15044])).
% 54.08/34.27 tff(15049,plain,
% 54.08/34.27 (v129(constB78, 1)),
% 54.08/34.27 inference(unit_resolution,[status(thm)],[15048, 15041])).
% 54.08/34.27 tff(15050,assumption,(~v90(constB77, 2)), introduced(assumption)).
% 54.08/34.27 tff(15051,assumption,(~v100(constB78)), introduced(assumption)).
% 54.08/34.27 tff(15052,assumption,(~v90(constB78, 1)), introduced(assumption)).
% 54.08/34.27 tff(15053,plain,
% 54.08/34.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB77, 1)) | (~nextState(constB77, constB78)) | v100(constB78) | v90(constB78, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB77, 1)) | (~nextState(constB77, constB78)) | v100(constB78) | v90(constB78, 1))),
% 54.08/34.27 inference(rewrite,[status(thm)],[])).
% 54.08/34.27 tff(15054,plain,
% 54.08/34.27 (((~nextState(constB77, constB78)) | (~v90(constB77, 1)) | v100(constB78) | v90(constB78, 1)) <=> ((~v90(constB77, 1)) | (~nextState(constB77, constB78)) | v100(constB78) | v90(constB78, 1))),
% 54.08/34.27 inference(rewrite,[status(thm)],[])).
% 54.08/34.27 tff(15055,plain,
% 54.08/34.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB77, constB78)) | (~v90(constB77, 1)) | v100(constB78) | v90(constB78, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB77, 1)) | (~nextState(constB77, constB78)) | v100(constB78) | v90(constB78, 1)))),
% 54.08/34.27 inference(monotonicity,[status(thm)],[15054])).
% 54.08/34.27 tff(15056,plain,
% 54.08/34.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB77, constB78)) | (~v90(constB77, 1)) | v100(constB78) | v90(constB78, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB77, 1)) | (~nextState(constB77, constB78)) | v100(constB78) | v90(constB78, 1))),
% 54.08/34.27 inference(transitivity,[status(thm)],[15055, 15053])).
% 54.08/34.27 tff(15057,plain,
% 54.08/34.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB77, constB78)) | (~v90(constB77, 1)) | v100(constB78) | v90(constB78, 1))),
% 54.08/34.27 inference(quant_inst,[status(thm)],[])).
% 54.08/34.27 tff(15058,plain,
% 54.08/34.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB77, 1)) | (~nextState(constB77, constB78)) | v100(constB78) | v90(constB78, 1)),
% 54.08/34.27 inference(modus_ponens,[status(thm)],[15057, 15056])).
% 54.08/34.27 tff(15059,plain,
% 54.08/34.27 ((~v90(constB77, 1)) | v100(constB78) | v90(constB78, 1)),
% 54.08/34.27 inference(unit_resolution,[status(thm)],[15058, 1641, 15044])).
% 54.08/34.27 tff(15060,plain,
% 54.08/34.27 (~v90(constB77, 1)),
% 54.08/34.27 inference(unit_resolution,[status(thm)],[15059, 15052, 15051])).
% 54.08/34.27 tff(15061,plain,
% 54.08/34.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB77, 2) | (~nextState(constB77, constB78)) | v100(constB78) | (~v90(constB78, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB77, 2) | (~nextState(constB77, constB78)) | v100(constB78) | (~v90(constB78, 2)))),
% 54.08/34.27 inference(rewrite,[status(thm)],[])).
% 54.08/34.27 tff(15062,plain,
% 54.08/34.27 (((~nextState(constB77, constB78)) | v90(constB77, 2) | v100(constB78) | (~v90(constB78, 2))) <=> (v90(constB77, 2) | (~nextState(constB77, constB78)) | v100(constB78) | (~v90(constB78, 2)))),
% 54.08/34.27 inference(rewrite,[status(thm)],[])).
% 54.08/34.27 tff(15063,plain,
% 54.08/34.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB77, constB78)) | v90(constB77, 2) | v100(constB78) | (~v90(constB78, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB77, 2) | (~nextState(constB77, constB78)) | v100(constB78) | (~v90(constB78, 2))))),
% 54.08/34.27 inference(monotonicity,[status(thm)],[15062])).
% 54.08/34.27 tff(15064,plain,
% 54.08/34.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB77, constB78)) | v90(constB77, 2) | v100(constB78) | (~v90(constB78, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB77, 2) | (~nextState(constB77, constB78)) | v100(constB78) | (~v90(constB78, 2)))),
% 54.08/34.27 inference(transitivity,[status(thm)],[15063, 15061])).
% 54.08/34.27 tff(15065,plain,
% 54.08/34.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB77, constB78)) | v90(constB77, 2) | v100(constB78) | (~v90(constB78, 2)))),
% 54.08/34.27 inference(quant_inst,[status(thm)],[])).
% 54.08/34.27 tff(15066,plain,
% 54.08/34.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB77, 2) | (~nextState(constB77, constB78)) | v100(constB78) | (~v90(constB78, 2))),
% 54.08/34.27 inference(modus_ponens,[status(thm)],[15065, 15064])).
% 54.08/34.27 tff(15067,plain,
% 54.08/34.27 (v90(constB77, 2) | v100(constB78) | (~v90(constB78, 2))),
% 54.08/34.27 inference(unit_resolution,[status(thm)],[15066, 905, 15044])).
% 54.08/34.27 tff(15068,plain,
% 54.08/34.27 (~v90(constB78, 2)),
% 54.08/34.27 inference(unit_resolution,[status(thm)],[15067, 15050, 15051])).
% 54.08/34.27 tff(15069,plain,
% 54.08/34.27 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB77) | (~nextState(constB77, constB78)) | (~v104(constB78)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB77) | (~nextState(constB77, constB78)) | (~v104(constB78)))),
% 54.08/34.27 inference(rewrite,[status(thm)],[])).
% 54.08/34.27 tff(15070,plain,
% 54.08/34.27 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB77) | (~nextState(constB77, constB78)) | (~v104(constB78)))),
% 54.08/34.27 inference(quant_inst,[status(thm)],[])).
% 54.08/34.27 tff(15071,plain,
% 54.08/34.27 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB77) | (~nextState(constB77, constB78)) | (~v104(constB78))),
% 54.08/34.27 inference(modus_ponens,[status(thm)],[15070, 15069])).
% 54.08/34.27 tff(15072,plain,
% 54.08/34.27 (~v104(constB78)),
% 54.08/34.27 inference(unit_resolution,[status(thm)],[15071, 1113, 15044, 14935])).
% 54.08/34.27 tff(15073,plain,
% 54.08/34.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB77, constB78)) | v102(constB78) | v104(constB78))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB77, constB78)) | v102(constB78) | v104(constB78))),
% 54.08/34.27 inference(rewrite,[status(thm)],[])).
% 54.08/34.27 tff(15074,plain,
% 54.08/34.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB77, constB78)) | v102(constB78) | v104(constB78))),
% 54.08/34.27 inference(quant_inst,[status(thm)],[])).
% 54.08/34.27 tff(15075,plain,
% 54.08/34.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB77, constB78)) | v102(constB78) | v104(constB78)),
% 54.08/34.27 inference(modus_ponens,[status(thm)],[15074, 15073])).
% 54.08/34.27 tff(15076,plain,
% 54.08/34.27 (v102(constB78) | v104(constB78)),
% 54.08/34.27 inference(unit_resolution,[status(thm)],[15075, 1127, 15044])).
% 54.08/34.27 tff(15077,plain,
% 54.08/34.27 (v102(constB78)),
% 54.08/34.27 inference(unit_resolution,[status(thm)],[15076, 15072])).
% 54.08/34.27 tff(15078,plain,
% 54.08/34.27 (v1(constB78) <=> v1(constB78)),
% 54.08/34.27 inference(rewrite,[status(thm)],[])).
% 54.08/34.27 tff(15079,axiom,(v1(constB78)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_78_1')).
% 54.08/34.27 tff(15080,plain,
% 54.08/34.27 (v1(constB78)),
% 54.08/34.27 inference(modus_ponens,[status(thm)],[15079, 15078])).
% 54.08/34.27 tff(15081,plain,
% 54.08/34.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB77, constB78)) | v101(constB78) | (~v102(constB78)) | (~v1(constB78)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB77, constB78)) | v101(constB78) | (~v102(constB78)) | (~v1(constB78)))),
% 54.08/34.27 inference(rewrite,[status(thm)],[])).
% 54.08/34.27 tff(15082,plain,
% 54.08/34.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB77, constB78)) | v101(constB78) | (~v102(constB78)) | (~v1(constB78)))),
% 54.08/34.27 inference(quant_inst,[status(thm)],[])).
% 54.08/34.27 tff(15083,plain,
% 54.08/34.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB77, constB78)) | v101(constB78) | (~v102(constB78)) | (~v1(constB78))),
% 54.08/34.27 inference(modus_ponens,[status(thm)],[15082, 15081])).
% 54.08/34.27 tff(15084,plain,
% 54.08/34.27 (v101(constB78) | (~v102(constB78))),
% 54.08/34.27 inference(unit_resolution,[status(thm)],[15083, 1145, 15044, 15080])).
% 54.08/34.27 tff(15085,plain,
% 54.08/34.27 (v101(constB78)),
% 54.08/34.27 inference(unit_resolution,[status(thm)],[15084, 15077])).
% 54.08/34.27 tff(15086,plain,
% 54.08/34.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78)))),
% 54.08/34.27 inference(rewrite,[status(thm)],[])).
% 54.08/34.27 tff(15087,plain,
% 54.08/34.27 (((~nextState(constB77, constB78)) | (~v101(constB78)) | (~v110(constB78)) | v100(constB78)) <=> ((~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78)))),
% 54.08/34.27 inference(rewrite,[status(thm)],[])).
% 54.08/34.27 tff(15088,plain,
% 54.08/34.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB77, constB78)) | (~v101(constB78)) | (~v110(constB78)) | v100(constB78))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78))))),
% 54.08/34.27 inference(monotonicity,[status(thm)],[15087])).
% 54.08/34.27 tff(15089,plain,
% 54.08/34.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB77, constB78)) | (~v101(constB78)) | (~v110(constB78)) | v100(constB78))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78)))),
% 54.08/34.27 inference(transitivity,[status(thm)],[15088, 15086])).
% 54.08/34.27 tff(15090,plain,
% 54.08/34.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB77, constB78)) | (~v101(constB78)) | (~v110(constB78)) | v100(constB78))),
% 54.08/34.27 inference(quant_inst,[status(thm)],[])).
% 54.08/34.27 tff(15091,plain,
% 54.08/34.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB77, constB78)) | v100(constB78) | (~v101(constB78)) | (~v110(constB78))),
% 54.08/34.27 inference(modus_ponens,[status(thm)],[15090, 15089])).
% 54.08/34.27 tff(15092,plain,
% 54.08/34.27 (v100(constB78) | (~v101(constB78)) | (~v110(constB78))),
% 54.08/34.27 inference(unit_resolution,[status(thm)],[15091, 1160, 15044])).
% 54.08/34.27 tff(15093,plain,
% 54.08/34.27 (v100(constB78) | (~v110(constB78))),
% 54.08/34.27 inference(unit_resolution,[status(thm)],[15092, 15085])).
% 54.08/34.27 tff(15094,plain,
% 54.08/34.27 (~v110(constB78)),
% 54.08/34.27 inference(unit_resolution,[status(thm)],[15093, 15051])).
% 54.08/34.27 tff(15095,plain,
% 54.08/34.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77)))),
% 54.08/34.27 inference(rewrite,[status(thm)],[])).
% 54.08/34.27 tff(15096,plain,
% 54.08/34.27 (((~nextState(constB77, constB78)) | (~v108(constB77)) | v110(constB78)) <=> ((~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77)))),
% 54.08/34.27 inference(rewrite,[status(thm)],[])).
% 54.08/34.27 tff(15097,plain,
% 54.08/34.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | (~v108(constB77)) | v110(constB78))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77))))),
% 54.08/34.27 inference(monotonicity,[status(thm)],[15096])).
% 54.08/34.27 tff(15098,plain,
% 54.08/34.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | (~v108(constB77)) | v110(constB78))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77)))),
% 54.08/34.27 inference(transitivity,[status(thm)],[15097, 15095])).
% 54.08/34.27 tff(15099,plain,
% 54.08/34.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB77, constB78)) | (~v108(constB77)) | v110(constB78))),
% 54.08/34.27 inference(quant_inst,[status(thm)],[])).
% 54.08/34.27 tff(15100,plain,
% 54.08/34.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB77, constB78)) | v110(constB78) | (~v108(constB77))),
% 54.08/34.27 inference(modus_ponens,[status(thm)],[15099, 15098])).
% 54.08/34.27 tff(15101,plain,
% 54.08/34.27 (v110(constB78) | (~v108(constB77))),
% 54.08/34.27 inference(unit_resolution,[status(thm)],[15100, 1095, 15044])).
% 54.08/34.27 tff(15102,plain,
% 54.08/34.27 (~v108(constB77)),
% 54.08/34.27 inference(unit_resolution,[status(thm)],[15101, 15094])).
% 54.08/34.27 tff(15103,plain,
% 54.08/34.27 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB77) | (~v112(constB77)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB77) | (~v112(constB77)))),
% 54.08/34.27 inference(rewrite,[status(thm)],[])).
% 54.08/34.27 tff(15104,plain,
% 54.08/34.27 (((~v112(constB77)) | v108(constB77)) <=> (v108(constB77) | (~v112(constB77)))),
% 54.08/34.27 inference(rewrite,[status(thm)],[])).
% 54.08/34.27 tff(15105,plain,
% 54.08/34.27 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB77)) | v108(constB77))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB77) | (~v112(constB77))))),
% 54.08/34.27 inference(monotonicity,[status(thm)],[15104])).
% 54.08/34.27 tff(15106,plain,
% 54.08/34.27 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB77)) | v108(constB77))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB77) | (~v112(constB77)))),
% 54.08/34.27 inference(transitivity,[status(thm)],[15105, 15103])).
% 54.08/34.27 tff(15107,plain,
% 54.08/34.27 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB77)) | v108(constB77))),
% 54.08/34.27 inference(quant_inst,[status(thm)],[])).
% 54.08/34.27 tff(15108,plain,
% 54.08/34.27 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB77) | (~v112(constB77))),
% 54.08/34.27 inference(modus_ponens,[status(thm)],[15107, 15106])).
% 54.08/34.27 tff(15109,plain,
% 54.08/34.27 (~v112(constB77)),
% 54.08/34.27 inference(unit_resolution,[status(thm)],[15108, 1075, 15102])).
% 54.08/34.27 tff(15110,plain,
% 54.08/34.27 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB77) | v112(constB77) | (~v113(constB77)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB77) | v112(constB77) | (~v113(constB77)))),
% 54.08/34.27 inference(rewrite,[status(thm)],[])).
% 54.08/34.27 tff(15111,plain,
% 54.08/34.27 ((v26(constB77) | (~v113(constB77)) | v112(constB77)) <=> (v26(constB77) | v112(constB77) | (~v113(constB77)))),
% 54.08/34.27 inference(rewrite,[status(thm)],[])).
% 54.08/34.27 tff(15112,plain,
% 54.08/34.27 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB77) | (~v113(constB77)) | v112(constB77))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB77) | v112(constB77) | (~v113(constB77))))),
% 54.08/34.27 inference(monotonicity,[status(thm)],[15111])).
% 54.08/34.27 tff(15113,plain,
% 54.08/34.27 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB77) | (~v113(constB77)) | v112(constB77))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB77) | v112(constB77) | (~v113(constB77)))),
% 54.08/34.27 inference(transitivity,[status(thm)],[15112, 15110])).
% 54.08/34.27 tff(15114,plain,
% 54.08/34.27 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB77) | (~v113(constB77)) | v112(constB77))),
% 54.08/34.27 inference(quant_inst,[status(thm)],[])).
% 54.08/34.27 tff(15115,plain,
% 54.08/34.27 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB77) | v112(constB77) | (~v113(constB77))),
% 54.08/34.27 inference(modus_ponens,[status(thm)],[15114, 15113])).
% 54.08/34.27 tff(15116,plain,
% 54.08/34.27 (v112(constB77) | (~v113(constB77))),
% 54.08/34.27 inference(unit_resolution,[status(thm)],[15115, 1063, 15036])).
% 54.08/34.27 tff(15117,plain,
% 54.08/34.27 (~v113(constB77)),
% 54.08/34.27 inference(unit_resolution,[status(thm)],[15116, 15109])).
% 54.08/34.27 tff(15118,plain,
% 54.08/34.27 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB77) | (~v114(constB77)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB77) | (~v114(constB77)))),
% 54.08/34.27 inference(rewrite,[status(thm)],[])).
% 54.08/34.27 tff(15119,plain,
% 54.08/34.27 (((~v114(constB77)) | v113(constB77)) <=> (v113(constB77) | (~v114(constB77)))),
% 54.08/34.27 inference(rewrite,[status(thm)],[])).
% 54.08/34.27 tff(15120,plain,
% 54.08/34.27 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB77)) | v113(constB77))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB77) | (~v114(constB77))))),
% 54.08/34.27 inference(monotonicity,[status(thm)],[15119])).
% 54.08/34.27 tff(15121,plain,
% 54.08/34.27 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB77)) | v113(constB77))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB77) | (~v114(constB77)))),
% 54.08/34.27 inference(transitivity,[status(thm)],[15120, 15118])).
% 54.08/34.27 tff(15122,plain,
% 54.08/34.27 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB77)) | v113(constB77))),
% 54.08/34.27 inference(quant_inst,[status(thm)],[])).
% 54.08/34.27 tff(15123,plain,
% 54.08/34.27 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB77) | (~v114(constB77))),
% 54.08/34.27 inference(modus_ponens,[status(thm)],[15122, 15121])).
% 54.08/34.27 tff(15124,plain,
% 54.08/34.27 (~v114(constB77)),
% 54.08/34.27 inference(unit_resolution,[status(thm)],[15123, 1049, 15117])).
% 54.08/34.27 tff(15125,plain,
% 54.08/34.27 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB77) | (~v115(constB77)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB77) | (~v115(constB77)))),
% 54.08/34.27 inference(rewrite,[status(thm)],[])).
% 54.08/34.27 tff(15126,plain,
% 54.08/34.27 (((~v115(constB77)) | v114(constB77)) <=> (v114(constB77) | (~v115(constB77)))),
% 54.08/34.27 inference(rewrite,[status(thm)],[])).
% 54.08/34.27 tff(15127,plain,
% 54.08/34.27 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB77)) | v114(constB77))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB77) | (~v115(constB77))))),
% 54.08/34.27 inference(monotonicity,[status(thm)],[15126])).
% 54.08/34.28 tff(15128,plain,
% 54.08/34.28 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB77)) | v114(constB77))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB77) | (~v115(constB77)))),
% 54.08/34.28 inference(transitivity,[status(thm)],[15127, 15125])).
% 54.08/34.28 tff(15129,plain,
% 54.08/34.28 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB77)) | v114(constB77))),
% 54.08/34.28 inference(quant_inst,[status(thm)],[])).
% 54.08/34.28 tff(15130,plain,
% 54.08/34.28 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB77) | (~v115(constB77))),
% 54.08/34.28 inference(modus_ponens,[status(thm)],[15129, 15128])).
% 54.08/34.28 tff(15131,plain,
% 54.08/34.28 (~v115(constB77)),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15130, 1035, 15124])).
% 54.08/34.28 tff(15132,plain,
% 54.08/34.28 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB77) | (~v123(constB77)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB77) | (~v123(constB77)))),
% 54.08/34.28 inference(rewrite,[status(thm)],[])).
% 54.08/34.28 tff(15133,plain,
% 54.08/34.28 (((~v123(constB77)) | v115(constB77)) <=> (v115(constB77) | (~v123(constB77)))),
% 54.08/34.28 inference(rewrite,[status(thm)],[])).
% 54.08/34.28 tff(15134,plain,
% 54.08/34.28 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB77)) | v115(constB77))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB77) | (~v123(constB77))))),
% 54.08/34.28 inference(monotonicity,[status(thm)],[15133])).
% 54.08/34.28 tff(15135,plain,
% 54.08/34.28 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB77)) | v115(constB77))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB77) | (~v123(constB77)))),
% 54.08/34.28 inference(transitivity,[status(thm)],[15134, 15132])).
% 54.08/34.28 tff(15136,plain,
% 54.08/34.28 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB77)) | v115(constB77))),
% 54.08/34.28 inference(quant_inst,[status(thm)],[])).
% 54.08/34.28 tff(15137,plain,
% 54.08/34.28 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB77) | (~v123(constB77))),
% 54.08/34.28 inference(modus_ponens,[status(thm)],[15136, 15135])).
% 54.08/34.28 tff(15138,plain,
% 54.08/34.28 (~v123(constB77)),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15137, 2291, 15131])).
% 54.08/34.28 tff(15139,plain,
% 54.08/34.28 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB77) | (~v116(constB77)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB77) | (~v116(constB77)))),
% 54.08/34.28 inference(rewrite,[status(thm)],[])).
% 54.08/34.28 tff(15140,plain,
% 54.08/34.28 (((~v116(constB77)) | v115(constB77)) <=> (v115(constB77) | (~v116(constB77)))),
% 54.08/34.28 inference(rewrite,[status(thm)],[])).
% 54.08/34.28 tff(15141,plain,
% 54.08/34.28 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB77)) | v115(constB77))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB77) | (~v116(constB77))))),
% 54.08/34.28 inference(monotonicity,[status(thm)],[15140])).
% 54.08/34.28 tff(15142,plain,
% 54.08/34.28 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB77)) | v115(constB77))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB77) | (~v116(constB77)))),
% 54.08/34.28 inference(transitivity,[status(thm)],[15141, 15139])).
% 54.08/34.28 tff(15143,plain,
% 54.08/34.28 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB77)) | v115(constB77))),
% 54.08/34.28 inference(quant_inst,[status(thm)],[])).
% 54.08/34.28 tff(15144,plain,
% 54.08/34.28 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB77) | (~v116(constB77))),
% 54.08/34.28 inference(modus_ponens,[status(thm)],[15143, 15142])).
% 54.08/34.28 tff(15145,plain,
% 54.08/34.28 (~v116(constB77)),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15144, 1021, 15131])).
% 54.08/34.28 tff(15146,plain,
% 54.08/34.28 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB77) | (~v122(constB77)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB77) | (~v122(constB77)))),
% 54.08/34.28 inference(rewrite,[status(thm)],[])).
% 54.08/34.28 tff(15147,plain,
% 54.08/34.28 (((~v122(constB77)) | v116(constB77)) <=> (v116(constB77) | (~v122(constB77)))),
% 54.08/34.28 inference(rewrite,[status(thm)],[])).
% 54.08/34.28 tff(15148,plain,
% 54.08/34.28 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB77)) | v116(constB77))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB77) | (~v122(constB77))))),
% 54.08/34.28 inference(monotonicity,[status(thm)],[15147])).
% 54.08/34.28 tff(15149,plain,
% 54.08/34.28 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB77)) | v116(constB77))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB77) | (~v122(constB77)))),
% 54.08/34.28 inference(transitivity,[status(thm)],[15148, 15146])).
% 54.08/34.28 tff(15150,plain,
% 54.08/34.28 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB77)) | v116(constB77))),
% 54.08/34.28 inference(quant_inst,[status(thm)],[])).
% 54.08/34.28 tff(15151,plain,
% 54.08/34.28 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB77) | (~v122(constB77))),
% 54.08/34.28 inference(modus_ponens,[status(thm)],[15150, 15149])).
% 54.08/34.28 tff(15152,plain,
% 54.08/34.28 (~v122(constB77)),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15151, 2120, 15145])).
% 54.08/34.28 tff(15153,plain,
% 54.08/34.28 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB77) | (~v117(constB77)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB77) | (~v117(constB77)))),
% 54.08/34.28 inference(rewrite,[status(thm)],[])).
% 54.08/34.28 tff(15154,plain,
% 54.08/34.28 (((~v117(constB77)) | v116(constB77)) <=> (v116(constB77) | (~v117(constB77)))),
% 54.08/34.28 inference(rewrite,[status(thm)],[])).
% 54.08/34.28 tff(15155,plain,
% 54.08/34.28 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB77)) | v116(constB77))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB77) | (~v117(constB77))))),
% 54.08/34.28 inference(monotonicity,[status(thm)],[15154])).
% 54.08/34.28 tff(15156,plain,
% 54.08/34.28 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB77)) | v116(constB77))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB77) | (~v117(constB77)))),
% 54.08/34.28 inference(transitivity,[status(thm)],[15155, 15153])).
% 54.08/34.28 tff(15157,plain,
% 54.08/34.28 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB77)) | v116(constB77))),
% 54.08/34.28 inference(quant_inst,[status(thm)],[])).
% 54.08/34.28 tff(15158,plain,
% 54.08/34.28 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB77) | (~v117(constB77))),
% 54.08/34.28 inference(modus_ponens,[status(thm)],[15157, 15156])).
% 54.08/34.28 tff(15159,plain,
% 54.08/34.28 (~v117(constB77)),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15158, 1007, 15145])).
% 54.08/34.28 tff(15160,plain,
% 54.08/34.28 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB77) | (~v118(constB77)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB77) | (~v118(constB77)))),
% 54.08/34.28 inference(rewrite,[status(thm)],[])).
% 54.08/34.28 tff(15161,plain,
% 54.08/34.28 (((~v118(constB77)) | v117(constB77)) <=> (v117(constB77) | (~v118(constB77)))),
% 54.08/34.28 inference(rewrite,[status(thm)],[])).
% 54.08/34.28 tff(15162,plain,
% 54.08/34.28 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB77)) | v117(constB77))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB77) | (~v118(constB77))))),
% 54.08/34.28 inference(monotonicity,[status(thm)],[15161])).
% 54.08/34.28 tff(15163,plain,
% 54.08/34.28 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB77)) | v117(constB77))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB77) | (~v118(constB77)))),
% 54.08/34.28 inference(transitivity,[status(thm)],[15162, 15160])).
% 54.08/34.28 tff(15164,plain,
% 54.08/34.28 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB77)) | v117(constB77))),
% 54.08/34.28 inference(quant_inst,[status(thm)],[])).
% 54.08/34.28 tff(15165,plain,
% 54.08/34.28 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB77) | (~v118(constB77))),
% 54.08/34.28 inference(modus_ponens,[status(thm)],[15164, 15163])).
% 54.08/34.28 tff(15166,plain,
% 54.08/34.28 (~v118(constB77)),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15165, 993, 15159])).
% 54.08/34.28 tff(15167,plain,
% 54.08/34.28 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB77) | (~v119(constB77)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB77) | (~v119(constB77)))),
% 54.08/34.28 inference(rewrite,[status(thm)],[])).
% 54.08/34.28 tff(15168,plain,
% 54.08/34.28 (((~v119(constB77)) | v118(constB77)) <=> (v118(constB77) | (~v119(constB77)))),
% 54.08/34.28 inference(rewrite,[status(thm)],[])).
% 54.08/34.28 tff(15169,plain,
% 54.08/34.28 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB77)) | v118(constB77))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB77) | (~v119(constB77))))),
% 54.08/34.28 inference(monotonicity,[status(thm)],[15168])).
% 54.08/34.28 tff(15170,plain,
% 54.08/34.28 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB77)) | v118(constB77))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB77) | (~v119(constB77)))),
% 54.08/34.28 inference(transitivity,[status(thm)],[15169, 15167])).
% 54.08/34.28 tff(15171,plain,
% 54.08/34.28 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB77)) | v118(constB77))),
% 54.08/34.28 inference(quant_inst,[status(thm)],[])).
% 54.08/34.28 tff(15172,plain,
% 54.08/34.28 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB77) | (~v119(constB77))),
% 54.08/34.28 inference(modus_ponens,[status(thm)],[15171, 15170])).
% 54.08/34.28 tff(15173,plain,
% 54.08/34.28 (~v119(constB77)),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15172, 982, 15166])).
% 54.08/34.28 tff(15174,plain,
% 54.08/34.28 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB77) | (~v121(constB77)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB77) | (~v121(constB77)))),
% 54.08/34.28 inference(rewrite,[status(thm)],[])).
% 54.08/34.28 tff(15175,plain,
% 54.08/34.28 (((~v121(constB77)) | v117(constB77)) <=> (v117(constB77) | (~v121(constB77)))),
% 54.08/34.28 inference(rewrite,[status(thm)],[])).
% 54.08/34.28 tff(15176,plain,
% 54.08/34.28 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB77)) | v117(constB77))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB77) | (~v121(constB77))))),
% 54.08/34.28 inference(monotonicity,[status(thm)],[15175])).
% 54.08/34.28 tff(15177,plain,
% 54.08/34.28 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB77)) | v117(constB77))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB77) | (~v121(constB77)))),
% 54.08/34.28 inference(transitivity,[status(thm)],[15176, 15174])).
% 54.08/34.28 tff(15178,plain,
% 54.08/34.28 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB77)) | v117(constB77))),
% 54.08/34.28 inference(quant_inst,[status(thm)],[])).
% 54.08/34.28 tff(15179,plain,
% 54.08/34.28 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB77) | (~v121(constB77))),
% 54.08/34.28 inference(modus_ponens,[status(thm)],[15178, 15177])).
% 54.08/34.28 tff(15180,plain,
% 54.08/34.28 (~v121(constB77)),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15179, 1742, 15159])).
% 54.08/34.28 tff(15181,plain,
% 54.08/34.28 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB77) | (~v120(constB77)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB77) | (~v120(constB77)))),
% 54.08/34.28 inference(rewrite,[status(thm)],[])).
% 54.08/34.28 tff(15182,plain,
% 54.08/34.28 (((~v120(constB77)) | v118(constB77)) <=> (v118(constB77) | (~v120(constB77)))),
% 54.08/34.28 inference(rewrite,[status(thm)],[])).
% 54.08/34.28 tff(15183,plain,
% 54.08/34.28 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB77)) | v118(constB77))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB77) | (~v120(constB77))))),
% 54.08/34.28 inference(monotonicity,[status(thm)],[15182])).
% 54.08/34.28 tff(15184,plain,
% 54.08/34.28 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB77)) | v118(constB77))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB77) | (~v120(constB77)))),
% 54.08/34.28 inference(transitivity,[status(thm)],[15183, 15181])).
% 54.08/34.28 tff(15185,plain,
% 54.08/34.28 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB77)) | v118(constB77))),
% 54.08/34.28 inference(quant_inst,[status(thm)],[])).
% 54.08/34.28 tff(15186,plain,
% 54.08/34.28 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB77) | (~v120(constB77))),
% 54.08/34.28 inference(modus_ponens,[status(thm)],[15185, 15184])).
% 54.08/34.28 tff(15187,plain,
% 54.08/34.28 (~v120(constB77)),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15186, 1425, 15166])).
% 54.08/34.28 tff(15188,plain,
% 54.08/34.28 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB77) | (~v124(constB77)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB77) | (~v124(constB77)))),
% 54.08/34.28 inference(rewrite,[status(thm)],[])).
% 54.08/34.28 tff(15189,plain,
% 54.08/34.28 (((~v124(constB77)) | v114(constB77)) <=> (v114(constB77) | (~v124(constB77)))),
% 54.08/34.28 inference(rewrite,[status(thm)],[])).
% 54.08/34.28 tff(15190,plain,
% 54.08/34.28 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB77)) | v114(constB77))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB77) | (~v124(constB77))))),
% 54.08/34.28 inference(monotonicity,[status(thm)],[15189])).
% 54.08/34.28 tff(15191,plain,
% 54.08/34.28 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB77)) | v114(constB77))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB77) | (~v124(constB77)))),
% 54.08/34.28 inference(transitivity,[status(thm)],[15190, 15188])).
% 54.08/34.28 tff(15192,plain,
% 54.08/34.28 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB77)) | v114(constB77))),
% 54.08/34.28 inference(quant_inst,[status(thm)],[])).
% 54.08/34.28 tff(15193,plain,
% 54.08/34.28 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB77) | (~v124(constB77))),
% 54.08/34.28 inference(modus_ponens,[status(thm)],[15192, 15191])).
% 54.08/34.28 tff(15194,plain,
% 54.08/34.28 (~v124(constB77)),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15193, 2674, 15124])).
% 54.08/34.28 tff(15195,plain,
% 54.08/34.28 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB77) | v120(constB77) | v121(constB77) | v122(constB77) | v123(constB77) | v124(constB77) | (~v130(constB77, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB77) | v120(constB77) | v121(constB77) | v122(constB77) | v123(constB77) | v124(constB77) | (~v130(constB77, 1)))),
% 54.08/34.28 inference(rewrite,[status(thm)],[])).
% 54.08/34.28 tff(15196,plain,
% 54.08/34.28 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB77) | v120(constB77) | v121(constB77) | v122(constB77) | v123(constB77) | v124(constB77) | (~v130(constB77, 1)))),
% 54.08/34.28 inference(quant_inst,[status(thm)],[])).
% 54.08/34.28 tff(15197,plain,
% 54.08/34.28 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB77) | v120(constB77) | v121(constB77) | v122(constB77) | v123(constB77) | v124(constB77) | (~v130(constB77, 1))),
% 54.08/34.28 inference(modus_ponens,[status(thm)],[15196, 15195])).
% 54.08/34.28 tff(15198,plain,
% 54.08/34.28 (v119(constB77) | v120(constB77) | v121(constB77) | v122(constB77) | v123(constB77) | (~v130(constB77, 1))),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15197, 3309, 15194])).
% 54.08/34.28 tff(15199,plain,
% 54.08/34.28 (~v130(constB77, 1)),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15198, 15187, 15180, 15173, 15152, 15138])).
% 54.08/34.28 tff(15200,assumption,(~v90(constB78, 2)), introduced(assumption)).
% 54.08/34.28 tff(15201,assumption,(~v90(constB78, 0)), introduced(assumption)).
% 54.08/34.28 tff(15202,assumption,(~v130(constB77, 1)), introduced(assumption)).
% 54.08/34.28 tff(15203,plain,
% 54.08/34.28 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB77)) | v130(constB77, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB77)) | v130(constB77, 1))),
% 54.08/34.28 inference(rewrite,[status(thm)],[])).
% 54.08/34.28 tff(15204,plain,
% 54.08/34.28 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB77)) | v130(constB77, 1))),
% 54.08/34.28 inference(quant_inst,[status(thm)],[])).
% 54.08/34.28 tff(15205,plain,
% 54.08/34.28 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB77)) | v130(constB77, 1)),
% 54.08/34.28 inference(modus_ponens,[status(thm)],[15204, 15203])).
% 54.08/34.28 tff(15206,plain,
% 54.08/34.28 (~v120(constB77)),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15205, 1579, 15202])).
% 54.08/34.28 tff(15207,plain,
% 54.08/34.28 (~v121(constB77)),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15031, 1877, 15202])).
% 54.08/34.28 tff(15208,plain,
% 54.08/34.28 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB77)) | v130(constB77, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB77)) | v130(constB77, 1))),
% 54.08/34.28 inference(rewrite,[status(thm)],[])).
% 54.08/34.28 tff(15209,plain,
% 54.08/34.28 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB77)) | v130(constB77, 1))),
% 54.08/34.28 inference(quant_inst,[status(thm)],[])).
% 54.08/34.28 tff(15210,plain,
% 54.08/34.28 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB77)) | v130(constB77, 1)),
% 54.08/34.28 inference(modus_ponens,[status(thm)],[15209, 15208])).
% 54.08/34.28 tff(15211,plain,
% 54.08/34.28 (~v124(constB77)),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15210, 2808, 15202])).
% 54.08/34.28 tff(15212,plain,
% 54.08/34.28 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | ((~v123(constB77)) | v90(constB77, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | (~v123(constB77)) | v90(constB77, 2))),
% 54.08/34.28 inference(rewrite,[status(thm)],[])).
% 54.08/34.28 tff(15213,plain,
% 54.08/34.28 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | ((~v123(constB77)) | v90(constB77, 2))),
% 54.08/34.28 inference(quant_inst,[status(thm)],[])).
% 54.08/34.28 tff(15214,plain,
% 54.08/34.28 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | (~v123(constB77)) | v90(constB77, 2)),
% 54.08/34.28 inference(modus_ponens,[status(thm)],[15213, 15212])).
% 54.08/34.28 tff(15215,plain,
% 54.08/34.28 (~v123(constB77)),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15214, 3763, 15050])).
% 54.08/34.28 tff(15216,plain,
% 54.08/34.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB77, 0)) | (~nextState(constB77, constB78)) | v100(constB78) | v90(constB78, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB77, 0)) | (~nextState(constB77, constB78)) | v100(constB78) | v90(constB78, 0))),
% 54.08/34.28 inference(rewrite,[status(thm)],[])).
% 54.08/34.28 tff(15217,plain,
% 54.08/34.28 (((~nextState(constB77, constB78)) | (~v90(constB77, 0)) | v100(constB78) | v90(constB78, 0)) <=> ((~v90(constB77, 0)) | (~nextState(constB77, constB78)) | v100(constB78) | v90(constB78, 0))),
% 54.08/34.28 inference(rewrite,[status(thm)],[])).
% 54.08/34.28 tff(15218,plain,
% 54.08/34.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB77, constB78)) | (~v90(constB77, 0)) | v100(constB78) | v90(constB78, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB77, 0)) | (~nextState(constB77, constB78)) | v100(constB78) | v90(constB78, 0)))),
% 54.08/34.28 inference(monotonicity,[status(thm)],[15217])).
% 54.08/34.28 tff(15219,plain,
% 54.08/34.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB77, constB78)) | (~v90(constB77, 0)) | v100(constB78) | v90(constB78, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB77, 0)) | (~nextState(constB77, constB78)) | v100(constB78) | v90(constB78, 0))),
% 54.08/34.28 inference(transitivity,[status(thm)],[15218, 15216])).
% 54.08/34.28 tff(15220,plain,
% 54.08/34.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB77, constB78)) | (~v90(constB77, 0)) | v100(constB78) | v90(constB78, 0))),
% 54.08/34.28 inference(quant_inst,[status(thm)],[])).
% 54.08/34.28 tff(15221,plain,
% 54.08/34.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB77, 0)) | (~nextState(constB77, constB78)) | v100(constB78) | v90(constB78, 0)),
% 54.08/34.28 inference(modus_ponens,[status(thm)],[15220, 15219])).
% 54.08/34.28 tff(15222,plain,
% 54.08/34.28 ((~v90(constB77, 0)) | v100(constB78) | v90(constB78, 0)),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15221, 1395, 15044])).
% 54.08/34.28 tff(15223,plain,
% 54.08/34.28 (~v90(constB77, 0)),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15222, 15051, 15201])).
% 54.08/34.28 tff(15224,plain,
% 54.08/34.28 (~v90(constB77, 1)),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15059, 15051, 15052])).
% 54.08/34.28 tff(15225,plain,
% 54.08/34.28 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB77, 0) | v90(constB77, 1) | v90(constB77, 2) | v119(constB77))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB77, 0) | v90(constB77, 1) | v90(constB77, 2) | v119(constB77))),
% 54.08/34.28 inference(rewrite,[status(thm)],[])).
% 54.08/34.28 tff(15226,plain,
% 54.08/34.28 ((v90(constB77, 0) | v119(constB77) | v90(constB77, 1) | v90(constB77, 2)) <=> (v90(constB77, 0) | v90(constB77, 1) | v90(constB77, 2) | v119(constB77))),
% 54.08/34.28 inference(rewrite,[status(thm)],[])).
% 54.08/34.28 tff(15227,plain,
% 54.08/34.28 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB77, 0) | v119(constB77) | v90(constB77, 1) | v90(constB77, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB77, 0) | v90(constB77, 1) | v90(constB77, 2) | v119(constB77)))),
% 54.08/34.28 inference(monotonicity,[status(thm)],[15226])).
% 54.08/34.28 tff(15228,plain,
% 54.08/34.28 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB77, 0) | v119(constB77) | v90(constB77, 1) | v90(constB77, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB77, 0) | v90(constB77, 1) | v90(constB77, 2) | v119(constB77))),
% 54.08/34.28 inference(transitivity,[status(thm)],[15227, 15225])).
% 54.08/34.28 tff(15229,plain,
% 54.08/34.28 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB77, 0) | v119(constB77) | v90(constB77, 1) | v90(constB77, 2))),
% 54.08/34.28 inference(quant_inst,[status(thm)],[])).
% 54.08/34.28 tff(15230,plain,
% 54.08/34.28 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB77, 0) | v90(constB77, 1) | v90(constB77, 2) | v119(constB77)),
% 54.08/34.28 inference(modus_ponens,[status(thm)],[15229, 15228])).
% 54.08/34.28 tff(15231,plain,
% 54.08/34.28 (v90(constB77, 0) | v90(constB77, 1) | v119(constB77)),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15230, 968, 15050])).
% 54.08/34.28 tff(15232,plain,
% 54.08/34.28 (v119(constB77)),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15231, 15224, 15223])).
% 54.08/34.28 tff(15233,plain,
% 54.08/34.28 (v118(constB77)),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15172, 982, 15232])).
% 54.08/34.28 tff(15234,plain,
% 54.08/34.28 (v117(constB77)),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15165, 993, 15233])).
% 54.08/34.28 tff(15235,plain,
% 54.08/34.28 (v116(constB77)),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15158, 1007, 15234])).
% 54.08/34.28 tff(15236,plain,
% 54.08/34.28 ($false),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15144, 1021, 15131, 15235])).
% 54.08/34.28 tff(15237,plain,(v100(constB78) | v90(constB77, 2) | v90(constB78, 1) | v90(constB78, 0)), inference(lemma,lemma(discharge,[]))).
% 54.08/34.28 tff(15238,plain,
% 54.08/34.28 (v100(constB78)),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15237, 15050, 15052, 15201])).
% 54.08/34.28 tff(15239,plain,
% 54.08/34.28 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB78, 0) | (~v129(constB78, 0)) | (~v100(constB78)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB78, 0) | (~v129(constB78, 0)) | (~v100(constB78)))),
% 54.08/34.28 inference(rewrite,[status(thm)],[])).
% 54.08/34.28 tff(15240,plain,
% 54.08/34.28 ((v90(constB78, 0) | (~v100(constB78)) | (~v129(constB78, 0))) <=> (v90(constB78, 0) | (~v129(constB78, 0)) | (~v100(constB78)))),
% 54.08/34.28 inference(rewrite,[status(thm)],[])).
% 54.08/34.28 tff(15241,plain,
% 54.08/34.28 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB78, 0) | (~v100(constB78)) | (~v129(constB78, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB78, 0) | (~v129(constB78, 0)) | (~v100(constB78))))),
% 54.08/34.28 inference(monotonicity,[status(thm)],[15240])).
% 54.08/34.28 tff(15242,plain,
% 54.08/34.28 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB78, 0) | (~v100(constB78)) | (~v129(constB78, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB78, 0) | (~v129(constB78, 0)) | (~v100(constB78)))),
% 54.08/34.28 inference(transitivity,[status(thm)],[15241, 15239])).
% 54.08/34.28 tff(15243,plain,
% 54.08/34.28 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB78, 0) | (~v100(constB78)) | (~v129(constB78, 0)))),
% 54.08/34.28 inference(quant_inst,[status(thm)],[])).
% 54.08/34.28 tff(15244,plain,
% 54.08/34.28 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB78, 0) | (~v129(constB78, 0)) | (~v100(constB78))),
% 54.08/34.28 inference(modus_ponens,[status(thm)],[15243, 15242])).
% 54.08/34.28 tff(15245,plain,
% 54.08/34.28 ((~v129(constB78, 0)) | (~v100(constB78))),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15244, 1377, 15201])).
% 54.08/34.28 tff(15246,plain,
% 54.08/34.28 (~v129(constB78, 0)),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15245, 15238])).
% 54.08/34.28 tff(15247,plain,
% 54.08/34.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB77, constB78)) | (~v127(constB77, 0)) | v129(constB78, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB77, constB78)) | (~v127(constB77, 0)) | v129(constB78, 0))),
% 54.08/34.28 inference(rewrite,[status(thm)],[])).
% 54.08/34.28 tff(15248,plain,
% 54.08/34.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB77, constB78)) | (~v127(constB77, 0)) | v129(constB78, 0))),
% 54.08/34.28 inference(quant_inst,[status(thm)],[])).
% 54.08/34.28 tff(15249,plain,
% 54.08/34.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB77, constB78)) | (~v127(constB77, 0)) | v129(constB78, 0)),
% 54.08/34.28 inference(modus_ponens,[status(thm)],[15248, 15247])).
% 54.08/34.28 tff(15250,plain,
% 54.08/34.28 ((~v127(constB77, 0)) | v129(constB78, 0)),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15249, 1362, 15044])).
% 54.08/34.28 tff(15251,plain,
% 54.08/34.28 (~v127(constB77, 0)),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15250, 15246])).
% 54.08/34.28 tff(15252,plain,
% 54.08/34.28 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB77) | (~v130(constB77, 0)) | v127(constB77, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB77) | (~v130(constB77, 0)) | v127(constB77, 0))),
% 54.08/34.28 inference(rewrite,[status(thm)],[])).
% 54.08/34.28 tff(15253,plain,
% 54.08/34.28 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB77) | (~v130(constB77, 0)) | v127(constB77, 0))),
% 54.08/34.28 inference(quant_inst,[status(thm)],[])).
% 54.08/34.28 tff(15254,plain,
% 54.08/34.28 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB77) | (~v130(constB77, 0)) | v127(constB77, 0)),
% 54.08/34.28 inference(modus_ponens,[status(thm)],[15253, 15252])).
% 54.08/34.28 tff(15255,plain,
% 54.08/34.28 ((~v130(constB77, 0)) | v127(constB77, 0)),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15254, 1347, 15036])).
% 54.08/34.28 tff(15256,plain,
% 54.08/34.28 (~v130(constB77, 0)),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15255, 15251])).
% 54.08/34.28 tff(15257,plain,
% 54.08/34.28 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB78, 2) | (~v129(constB78, 2)) | (~v100(constB78)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB78, 2) | (~v129(constB78, 2)) | (~v100(constB78)))),
% 54.08/34.28 inference(rewrite,[status(thm)],[])).
% 54.08/34.28 tff(15258,plain,
% 54.08/34.28 ((v90(constB78, 2) | (~v100(constB78)) | (~v129(constB78, 2))) <=> (v90(constB78, 2) | (~v129(constB78, 2)) | (~v100(constB78)))),
% 54.08/34.28 inference(rewrite,[status(thm)],[])).
% 54.08/34.28 tff(15259,plain,
% 54.08/34.28 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB78, 2) | (~v100(constB78)) | (~v129(constB78, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB78, 2) | (~v129(constB78, 2)) | (~v100(constB78))))),
% 54.08/34.28 inference(monotonicity,[status(thm)],[15258])).
% 54.08/34.28 tff(15260,plain,
% 54.08/34.28 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB78, 2) | (~v100(constB78)) | (~v129(constB78, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB78, 2) | (~v129(constB78, 2)) | (~v100(constB78)))),
% 54.08/34.28 inference(transitivity,[status(thm)],[15259, 15257])).
% 54.08/34.28 tff(15261,plain,
% 54.08/34.28 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB78, 2) | (~v100(constB78)) | (~v129(constB78, 2)))),
% 54.08/34.28 inference(quant_inst,[status(thm)],[])).
% 54.08/34.28 tff(15262,plain,
% 54.08/34.28 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB78, 2) | (~v129(constB78, 2)) | (~v100(constB78))),
% 54.08/34.28 inference(modus_ponens,[status(thm)],[15261, 15260])).
% 54.08/34.28 tff(15263,plain,
% 54.08/34.28 ((~v129(constB78, 2)) | (~v100(constB78))),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15262, 2324, 15200])).
% 54.08/34.28 tff(15264,plain,
% 54.08/34.28 (~v129(constB78, 2)),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15263, 15238])).
% 54.08/34.28 tff(15265,plain,
% 54.08/34.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB77, constB78)) | (~v127(constB77, 2)) | v129(constB78, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB77, constB78)) | (~v127(constB77, 2)) | v129(constB78, 2))),
% 54.08/34.28 inference(rewrite,[status(thm)],[])).
% 54.08/34.28 tff(15266,plain,
% 54.08/34.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB77, constB78)) | (~v127(constB77, 2)) | v129(constB78, 2))),
% 54.08/34.28 inference(quant_inst,[status(thm)],[])).
% 54.08/34.28 tff(15267,plain,
% 54.08/34.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB77, constB78)) | (~v127(constB77, 2)) | v129(constB78, 2)),
% 54.08/34.28 inference(modus_ponens,[status(thm)],[15266, 15265])).
% 54.08/34.28 tff(15268,plain,
% 54.08/34.28 ((~v127(constB77, 2)) | v129(constB78, 2)),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15267, 1999, 15044])).
% 54.08/34.28 tff(15269,plain,
% 54.08/34.28 (~v127(constB77, 2)),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15268, 15264])).
% 54.08/34.28 tff(15270,plain,
% 54.08/34.28 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB77) | (~v130(constB77, 2)) | v127(constB77, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB77) | (~v130(constB77, 2)) | v127(constB77, 2))),
% 54.08/34.28 inference(rewrite,[status(thm)],[])).
% 54.08/34.28 tff(15271,plain,
% 54.08/34.28 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB77) | (~v130(constB77, 2)) | v127(constB77, 2))),
% 54.08/34.28 inference(quant_inst,[status(thm)],[])).
% 54.08/34.28 tff(15272,plain,
% 54.08/34.28 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB77) | (~v130(constB77, 2)) | v127(constB77, 2)),
% 54.08/34.28 inference(modus_ponens,[status(thm)],[15271, 15270])).
% 54.08/34.28 tff(15273,plain,
% 54.08/34.28 ((~v130(constB77, 2)) | v127(constB77, 2)),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15272, 1981, 15036])).
% 54.08/34.28 tff(15274,plain,
% 54.08/34.28 (~v130(constB77, 2)),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15273, 15269])).
% 54.08/34.28 tff(15275,plain,
% 54.08/34.28 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB77)) | v130(constB77, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB77)) | v130(constB77, 2))),
% 54.08/34.28 inference(rewrite,[status(thm)],[])).
% 54.08/34.28 tff(15276,plain,
% 54.08/34.28 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB77)) | v130(constB77, 2))),
% 54.08/34.28 inference(quant_inst,[status(thm)],[])).
% 54.08/34.28 tff(15277,plain,
% 54.08/34.28 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB77)) | v130(constB77, 2)),
% 54.08/34.28 inference(modus_ponens,[status(thm)],[15276, 15275])).
% 54.08/34.28 tff(15278,plain,
% 54.08/34.28 (~v122(constB77)),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15277, 1967, 15274])).
% 54.08/34.28 tff(15279,plain,
% 54.08/34.28 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB77)) | v130(constB77, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB77)) | v130(constB77, 0))),
% 54.08/34.28 inference(rewrite,[status(thm)],[])).
% 54.08/34.28 tff(15280,plain,
% 54.08/34.28 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB77)) | v130(constB77, 0))),
% 54.08/34.28 inference(quant_inst,[status(thm)],[])).
% 54.08/34.28 tff(15281,plain,
% 54.08/34.28 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB77)) | v130(constB77, 0)),
% 54.08/34.28 inference(modus_ponens,[status(thm)],[15280, 15279])).
% 54.08/34.28 tff(15282,plain,
% 54.08/34.28 (~v119(constB77)),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15281, 1333, 15256])).
% 54.08/34.28 tff(15283,assumption,(~v120(constB77)), introduced(assumption)).
% 54.08/34.28 tff(15284,assumption,(~v121(constB77)), introduced(assumption)).
% 54.08/34.28 tff(15285,assumption,(~v124(constB77)), introduced(assumption)).
% 54.08/34.28 tff(15286,plain,
% 54.08/34.28 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB77) | v120(constB77) | v121(constB77) | v122(constB77) | v123(constB77) | v124(constB77) | v130(constB77, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB77) | v120(constB77) | v121(constB77) | v122(constB77) | v123(constB77) | v124(constB77) | v130(constB77, 0))),
% 54.08/34.28 inference(rewrite,[status(thm)],[])).
% 54.08/34.28 tff(15287,plain,
% 54.08/34.28 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB77) | v120(constB77) | v121(constB77) | v122(constB77) | v123(constB77) | v124(constB77) | v130(constB77, 0))),
% 54.08/34.28 inference(quant_inst,[status(thm)],[])).
% 54.08/34.28 tff(15288,plain,
% 54.08/34.28 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB77) | v120(constB77) | v121(constB77) | v122(constB77) | v123(constB77) | v124(constB77) | v130(constB77, 0)),
% 54.08/34.28 inference(modus_ponens,[status(thm)],[15287, 15286])).
% 54.08/34.28 tff(15289,plain,
% 54.08/34.28 (v119(constB77) | v122(constB77) | v123(constB77) | v130(constB77, 0)),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15288, 3413, 15285, 15284, 15283])).
% 54.08/34.28 tff(15290,plain,
% 54.08/34.28 ($false),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15289, 15282, 15278, 15256, 15215])).
% 54.08/34.28 tff(15291,plain,(v90(constB77, 2) | v124(constB77) | v121(constB77) | v120(constB77) | v90(constB78, 0) | v90(constB78, 2) | v90(constB78, 1)), inference(lemma,lemma(discharge,[]))).
% 54.08/34.28 tff(15292,plain,
% 54.08/34.28 (v90(constB77, 2)),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15291, 15211, 15207, 15206, 15201, 15200, 15052])).
% 54.08/34.28 tff(15293,plain,
% 54.08/34.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB77, 2)) | (~nextState(constB77, constB78)) | v100(constB78) | v90(constB78, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB77, 2)) | (~nextState(constB77, constB78)) | v100(constB78) | v90(constB78, 2))),
% 54.08/34.28 inference(rewrite,[status(thm)],[])).
% 54.08/34.28 tff(15294,plain,
% 54.08/34.28 (((~nextState(constB77, constB78)) | (~v90(constB77, 2)) | v100(constB78) | v90(constB78, 2)) <=> ((~v90(constB77, 2)) | (~nextState(constB77, constB78)) | v100(constB78) | v90(constB78, 2))),
% 54.08/34.28 inference(rewrite,[status(thm)],[])).
% 54.08/34.28 tff(15295,plain,
% 54.08/34.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB77, constB78)) | (~v90(constB77, 2)) | v100(constB78) | v90(constB78, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB77, 2)) | (~nextState(constB77, constB78)) | v100(constB78) | v90(constB78, 2)))),
% 54.08/34.28 inference(monotonicity,[status(thm)],[15294])).
% 54.08/34.28 tff(15296,plain,
% 54.08/34.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB77, constB78)) | (~v90(constB77, 2)) | v100(constB78) | v90(constB78, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB77, 2)) | (~nextState(constB77, constB78)) | v100(constB78) | v90(constB78, 2))),
% 54.08/34.28 inference(transitivity,[status(thm)],[15295, 15293])).
% 54.08/34.28 tff(15297,plain,
% 54.08/34.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB77, constB78)) | (~v90(constB77, 2)) | v100(constB78) | v90(constB78, 2))),
% 54.08/34.28 inference(quant_inst,[status(thm)],[])).
% 54.08/34.28 tff(15298,plain,
% 54.08/34.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB77, 2)) | (~nextState(constB77, constB78)) | v100(constB78) | v90(constB78, 2)),
% 54.08/34.28 inference(modus_ponens,[status(thm)],[15297, 15296])).
% 54.08/34.28 tff(15299,plain,
% 54.08/34.28 ((~v90(constB77, 2)) | v100(constB78) | v90(constB78, 2)),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15298, 2174, 15044])).
% 54.08/34.28 tff(15300,plain,
% 54.08/34.28 (v100(constB78)),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15299, 15292, 15200])).
% 54.08/34.28 tff(15301,plain,
% 54.08/34.28 (~v129(constB78, 2)),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15263, 15300])).
% 54.08/34.28 tff(15302,plain,
% 54.08/34.28 (~v127(constB77, 2)),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15268, 15301])).
% 54.08/34.28 tff(15303,plain,
% 54.08/34.28 (~v130(constB77, 2)),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15273, 15302])).
% 54.08/34.28 tff(15304,plain,
% 54.08/34.28 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB77)) | v130(constB77, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB77)) | v130(constB77, 2))),
% 54.08/34.28 inference(rewrite,[status(thm)],[])).
% 54.08/34.28 tff(15305,plain,
% 54.08/34.28 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB77)) | v130(constB77, 2))),
% 54.08/34.28 inference(quant_inst,[status(thm)],[])).
% 54.08/34.28 tff(15306,plain,
% 54.08/34.28 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB77)) | v130(constB77, 2)),
% 54.08/34.28 inference(modus_ponens,[status(thm)],[15305, 15304])).
% 54.08/34.28 tff(15307,plain,
% 54.08/34.28 (~v123(constB77)),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15306, 2525, 15303])).
% 54.08/34.28 tff(15308,plain,
% 54.08/34.28 (~v129(constB78, 0)),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15245, 15300])).
% 54.08/34.28 tff(15309,plain,
% 54.08/34.28 (~v127(constB77, 0)),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15250, 15308])).
% 54.08/34.28 tff(15310,plain,
% 54.08/34.28 (~v130(constB77, 0)),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15255, 15309])).
% 54.08/34.28 tff(15311,plain,
% 54.08/34.28 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB77)) | (~v90(constB77, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB77)) | (~v90(constB77, 2)))),
% 54.08/34.28 inference(rewrite,[status(thm)],[])).
% 54.08/34.28 tff(15312,plain,
% 54.08/34.28 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB77)) | (~v90(constB77, 2)))),
% 54.08/34.28 inference(quant_inst,[status(thm)],[])).
% 54.08/34.28 tff(15313,plain,
% 54.08/34.28 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB77)) | (~v90(constB77, 2))),
% 54.08/34.28 inference(modus_ponens,[status(thm)],[15312, 15311])).
% 54.08/34.28 tff(15314,plain,
% 54.08/34.28 (~v122(constB77)),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15313, 2797, 15292])).
% 54.08/34.28 tff(15315,plain,
% 54.08/34.28 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v119(constB77)) | (~v90(constB77, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | (~v119(constB77)) | (~v90(constB77, 2)))),
% 54.08/34.28 inference(rewrite,[status(thm)],[])).
% 54.08/34.28 tff(15316,plain,
% 54.08/34.28 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v119(constB77)) | (~v90(constB77, 2)))),
% 54.08/34.28 inference(quant_inst,[status(thm)],[])).
% 54.08/34.28 tff(15317,plain,
% 54.08/34.28 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | (~v119(constB77)) | (~v90(constB77, 2))),
% 54.08/34.28 inference(modus_ponens,[status(thm)],[15316, 15315])).
% 54.08/34.28 tff(15318,plain,
% 54.08/34.28 (~v119(constB77)),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15317, 3814, 15292])).
% 54.08/34.28 tff(15319,plain,
% 54.08/34.28 (v119(constB77) | v122(constB77) | v123(constB77) | v130(constB77, 0)),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15288, 3413, 15211, 15207, 15206])).
% 54.08/34.28 tff(15320,plain,
% 54.08/34.28 ($false),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15319, 15318, 15314, 15310, 15307])).
% 54.08/34.28 tff(15321,plain,(v130(constB77, 1) | v90(constB78, 0) | v90(constB78, 2) | v90(constB78, 1)), inference(lemma,lemma(discharge,[]))).
% 54.08/34.28 tff(15322,plain,
% 54.08/34.28 (v90(constB78, 0)),
% 54.08/34.28 inference(unit_resolution,[status(thm)],[15321, 15052, 15199, 15068])).
% 54.08/34.28 tff(15323,plain,
% 54.08/34.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB77, 0) | (~nextState(constB77, constB78)) | v100(constB78) | (~v90(constB78, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB77, 0) | (~nextState(constB77, constB78)) | v100(constB78) | (~v90(constB78, 0)))),
% 54.08/34.28 inference(rewrite,[status(thm)],[])).
% 54.08/34.28 tff(15324,plain,
% 54.08/34.28 (((~nextState(constB77, constB78)) | v90(constB77, 0) | v100(constB78) | (~v90(constB78, 0))) <=> (v90(constB77, 0) | (~nextState(constB77, constB78)) | v100(constB78) | (~v90(constB78, 0)))),
% 54.08/34.28 inference(rewrite,[status(thm)],[])).
% 54.08/34.28 tff(15325,plain,
% 54.08/34.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB77, constB78)) | v90(constB77, 0) | v100(constB78) | (~v90(constB78, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB77, 0) | (~nextState(constB77, constB78)) | v100(constB78) | (~v90(constB78, 0))))),
% 54.08/34.28 inference(monotonicity,[status(thm)],[15324])).
% 54.08/34.28 tff(15326,plain,
% 54.08/34.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB77, constB78)) | v90(constB77, 0) | v100(constB78) | (~v90(constB78, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB77, 0) | (~nextState(constB77, constB78)) | v100(constB78) | (~v90(constB78, 0)))),
% 54.08/34.28 inference(transitivity,[status(thm)],[15325, 15323])).
% 54.08/34.28 tff(15327,plain,
% 54.08/34.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB77, constB78)) | v90(constB77, 0) | v100(constB78) | (~v90(constB78, 0)))),
% 54.08/34.28 inference(quant_inst,[status(thm)],[])).
% 54.08/34.28 tff(15328,plain,
% 54.08/34.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB77, 0) | (~nextState(constB77, constB78)) | v100(constB78) | (~v90(constB78, 0))),
% 54.08/34.28 inference(modus_ponens,[status(thm)],[15327, 15326])).
% 54.08/34.29 tff(15329,plain,
% 54.08/34.29 (v90(constB77, 0) | v100(constB78) | (~v90(constB78, 0))),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15328, 947, 15044])).
% 54.08/34.29 tff(15330,plain,
% 54.08/34.29 (v90(constB77, 0)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15329, 15322, 15051])).
% 54.08/34.29 tff(15331,plain,
% 54.08/34.29 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB77, 0)) | v90(constB77, 1) | v90(constB77, 2) | v120(constB77))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB77, 0)) | v90(constB77, 1) | v90(constB77, 2) | v120(constB77))),
% 54.08/34.29 inference(rewrite,[status(thm)],[])).
% 54.08/34.29 tff(15332,plain,
% 54.08/34.29 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB77, 0)) | v90(constB77, 1) | v90(constB77, 2) | v120(constB77))),
% 54.08/34.29 inference(quant_inst,[status(thm)],[])).
% 54.08/34.29 tff(15333,plain,
% 54.08/34.29 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB77, 0)) | v90(constB77, 1) | v90(constB77, 2) | v120(constB77)),
% 54.08/34.29 inference(modus_ponens,[status(thm)],[15332, 15331])).
% 54.08/34.29 tff(15334,plain,
% 54.08/34.29 ((~v90(constB77, 0)) | v90(constB77, 1) | v90(constB77, 2)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15333, 1414, 15187])).
% 54.08/34.29 tff(15335,plain,
% 54.08/34.29 ($false),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15334, 15330, 15060, 15050])).
% 54.08/34.29 tff(15336,plain,(v90(constB78, 1) | v90(constB77, 2) | v100(constB78)), inference(lemma,lemma(discharge,[]))).
% 54.08/34.29 tff(15337,plain,
% 54.08/34.29 (v90(constB78, 1)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15336, 15050, 15051])).
% 54.08/34.29 tff(15338,plain,
% 54.08/34.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB77, 1) | (~nextState(constB77, constB78)) | v100(constB78) | (~v90(constB78, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB77, 1) | (~nextState(constB77, constB78)) | v100(constB78) | (~v90(constB78, 1)))),
% 54.08/34.29 inference(rewrite,[status(thm)],[])).
% 54.08/34.29 tff(15339,plain,
% 54.08/34.29 (((~nextState(constB77, constB78)) | v90(constB77, 1) | v100(constB78) | (~v90(constB78, 1))) <=> (v90(constB77, 1) | (~nextState(constB77, constB78)) | v100(constB78) | (~v90(constB78, 1)))),
% 54.08/34.29 inference(rewrite,[status(thm)],[])).
% 54.08/34.29 tff(15340,plain,
% 54.08/34.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB77, constB78)) | v90(constB77, 1) | v100(constB78) | (~v90(constB78, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB77, 1) | (~nextState(constB77, constB78)) | v100(constB78) | (~v90(constB78, 1))))),
% 54.08/34.29 inference(monotonicity,[status(thm)],[15339])).
% 54.08/34.29 tff(15341,plain,
% 54.08/34.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB77, constB78)) | v90(constB77, 1) | v100(constB78) | (~v90(constB78, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB77, 1) | (~nextState(constB77, constB78)) | v100(constB78) | (~v90(constB78, 1)))),
% 54.08/34.29 inference(transitivity,[status(thm)],[15340, 15338])).
% 54.08/34.29 tff(15342,plain,
% 54.08/34.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB77, constB78)) | v90(constB77, 1) | v100(constB78) | (~v90(constB78, 1)))),
% 54.08/34.29 inference(quant_inst,[status(thm)],[])).
% 54.08/34.29 tff(15343,plain,
% 54.08/34.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB77, 1) | (~nextState(constB77, constB78)) | v100(constB78) | (~v90(constB78, 1))),
% 54.08/34.29 inference(modus_ponens,[status(thm)],[15342, 15341])).
% 54.08/34.29 tff(15344,plain,
% 54.08/34.29 (v90(constB77, 1) | v100(constB78) | (~v90(constB78, 1))),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15343, 926, 15044])).
% 54.08/34.29 tff(15345,plain,
% 54.08/34.29 (v90(constB77, 1)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15344, 15337, 15051])).
% 54.08/34.29 tff(15346,plain,
% 54.08/34.29 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB77, 0)) | (~v90(constB77, 1)) | v90(constB77, 2) | v122(constB77))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB77, 0)) | (~v90(constB77, 1)) | v90(constB77, 2) | v122(constB77))),
% 54.08/34.29 inference(rewrite,[status(thm)],[])).
% 54.08/34.29 tff(15347,plain,
% 54.08/34.29 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB77, 0)) | (~v90(constB77, 1)) | v90(constB77, 2) | v122(constB77))),
% 54.08/34.29 inference(quant_inst,[status(thm)],[])).
% 54.08/34.29 tff(15348,plain,
% 54.08/34.29 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB77, 0)) | (~v90(constB77, 1)) | v90(constB77, 2) | v122(constB77)),
% 54.08/34.29 inference(modus_ponens,[status(thm)],[15347, 15346])).
% 54.08/34.29 tff(15349,plain,
% 54.08/34.29 ((~v90(constB77, 0)) | (~v90(constB77, 1)) | v90(constB77, 2)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15348, 1956, 15152])).
% 54.08/34.29 tff(15350,plain,
% 54.08/34.29 (~v90(constB77, 0)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15349, 15345, 15050])).
% 54.08/34.29 tff(15351,plain,
% 54.08/34.29 (v90(constB77, 0) | (~v90(constB77, 1)) | v90(constB77, 2)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15027, 1731, 15180])).
% 54.08/34.29 tff(15352,plain,
% 54.08/34.29 ($false),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15351, 15350, 15345, 15050])).
% 54.08/34.29 tff(15353,plain,(v90(constB77, 2) | v100(constB78)), inference(lemma,lemma(discharge,[]))).
% 54.08/34.29 tff(15354,plain,
% 54.08/34.29 (v100(constB78)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15353, 14959])).
% 54.08/34.29 tff(15355,plain,
% 54.08/34.29 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB78, 1) | (~v129(constB78, 1)) | (~v100(constB78)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB78, 1) | (~v129(constB78, 1)) | (~v100(constB78)))),
% 54.08/34.29 inference(rewrite,[status(thm)],[])).
% 54.08/34.29 tff(15356,plain,
% 54.08/34.29 ((v90(constB78, 1) | (~v100(constB78)) | (~v129(constB78, 1))) <=> (v90(constB78, 1) | (~v129(constB78, 1)) | (~v100(constB78)))),
% 54.08/34.29 inference(rewrite,[status(thm)],[])).
% 54.08/34.29 tff(15357,plain,
% 54.08/34.29 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB78, 1) | (~v100(constB78)) | (~v129(constB78, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB78, 1) | (~v129(constB78, 1)) | (~v100(constB78))))),
% 54.08/34.29 inference(monotonicity,[status(thm)],[15356])).
% 54.08/34.29 tff(15358,plain,
% 54.08/34.29 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB78, 1) | (~v100(constB78)) | (~v129(constB78, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB78, 1) | (~v129(constB78, 1)) | (~v100(constB78)))),
% 54.08/34.29 inference(transitivity,[status(thm)],[15357, 15355])).
% 54.08/34.29 tff(15359,plain,
% 54.08/34.29 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB78, 1) | (~v100(constB78)) | (~v129(constB78, 1)))),
% 54.08/34.29 inference(quant_inst,[status(thm)],[])).
% 54.08/34.29 tff(15360,plain,
% 54.08/34.29 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB78, 1) | (~v129(constB78, 1)) | (~v100(constB78))),
% 54.08/34.29 inference(modus_ponens,[status(thm)],[15359, 15358])).
% 54.08/34.29 tff(15361,plain,
% 54.08/34.29 (v90(constB78, 1) | (~v129(constB78, 1))),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15360, 1623, 15354])).
% 54.08/34.29 tff(15362,plain,
% 54.08/34.29 (v90(constB78, 1)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15361, 15049])).
% 54.08/34.29 tff(15363,plain,
% 54.08/34.29 ((~v1(constB79)) <=> (~v1(constB79))),
% 54.08/34.29 inference(rewrite,[status(thm)],[])).
% 54.08/34.29 tff(15364,axiom,(~v1(constB79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_79_1_1')).
% 54.08/34.29 tff(15365,plain,
% 54.08/34.29 (~v1(constB79)),
% 54.08/34.29 inference(modus_ponens,[status(thm)],[15364, 15363])).
% 54.08/34.29 tff(15366,plain,
% 54.08/34.29 (nextState(constB78, constB79) <=> nextState(constB78, constB79)),
% 54.08/34.29 inference(rewrite,[status(thm)],[])).
% 54.08/34.29 tff(15367,axiom,(nextState(constB78, constB79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_78_1')).
% 54.08/34.29 tff(15368,plain,
% 54.08/34.29 (nextState(constB78, constB79)),
% 54.08/34.29 inference(modus_ponens,[status(thm)],[15367, 15366])).
% 54.08/34.29 tff(15369,plain,
% 54.08/34.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79)))),
% 54.08/34.29 inference(rewrite,[status(thm)],[])).
% 54.08/34.29 tff(15370,plain,
% 54.08/34.29 (((~nextState(constB78, constB79)) | (~v101(constB79)) | v1(constB79)) <=> (v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79)))),
% 54.08/34.29 inference(rewrite,[status(thm)],[])).
% 54.08/34.29 tff(15371,plain,
% 54.08/34.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB78, constB79)) | (~v101(constB79)) | v1(constB79))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79))))),
% 54.08/34.29 inference(monotonicity,[status(thm)],[15370])).
% 54.08/34.29 tff(15372,plain,
% 54.08/34.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB78, constB79)) | (~v101(constB79)) | v1(constB79))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79)))),
% 54.08/34.29 inference(transitivity,[status(thm)],[15371, 15369])).
% 54.08/34.29 tff(15373,plain,
% 54.08/34.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB78, constB79)) | (~v101(constB79)) | v1(constB79))),
% 54.08/34.29 inference(quant_inst,[status(thm)],[])).
% 54.08/34.29 tff(15374,plain,
% 54.08/34.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v101(constB79))),
% 54.08/34.29 inference(modus_ponens,[status(thm)],[15373, 15372])).
% 54.08/34.29 tff(15375,plain,
% 54.08/34.29 (~v101(constB79)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15374, 873, 15368, 15365])).
% 54.08/34.29 tff(15376,plain,
% 54.08/34.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB78, constB79)) | v101(constB79) | (~v100(constB79)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB78, constB79)) | v101(constB79) | (~v100(constB79)))),
% 54.08/34.29 inference(rewrite,[status(thm)],[])).
% 54.08/34.29 tff(15377,plain,
% 54.08/34.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB78, constB79)) | v101(constB79) | (~v100(constB79)))),
% 54.08/34.29 inference(quant_inst,[status(thm)],[])).
% 54.08/34.29 tff(15378,plain,
% 54.08/34.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB78, constB79)) | v101(constB79) | (~v100(constB79))),
% 54.08/34.29 inference(modus_ponens,[status(thm)],[15377, 15376])).
% 54.08/34.29 tff(15379,plain,
% 54.08/34.29 (v101(constB79) | (~v100(constB79))),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15378, 890, 15368])).
% 54.08/34.29 tff(15380,plain,
% 54.08/34.29 (~v100(constB79)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15379, 15375])).
% 54.08/34.29 tff(15381,plain,
% 54.08/34.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB78, 1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB78, 1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, 1))),
% 54.08/34.29 inference(rewrite,[status(thm)],[])).
% 54.08/34.29 tff(15382,plain,
% 54.08/34.29 (((~nextState(constB78, constB79)) | (~v90(constB78, 1)) | v100(constB79) | v90(constB79, 1)) <=> ((~v90(constB78, 1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, 1))),
% 54.08/34.29 inference(rewrite,[status(thm)],[])).
% 54.08/34.29 tff(15383,plain,
% 54.08/34.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB78, constB79)) | (~v90(constB78, 1)) | v100(constB79) | v90(constB79, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB78, 1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, 1)))),
% 54.08/34.29 inference(monotonicity,[status(thm)],[15382])).
% 54.08/34.29 tff(15384,plain,
% 54.08/34.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB78, constB79)) | (~v90(constB78, 1)) | v100(constB79) | v90(constB79, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB78, 1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, 1))),
% 54.08/34.29 inference(transitivity,[status(thm)],[15383, 15381])).
% 54.08/34.29 tff(15385,plain,
% 54.08/34.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB78, constB79)) | (~v90(constB78, 1)) | v100(constB79) | v90(constB79, 1))),
% 54.08/34.29 inference(quant_inst,[status(thm)],[])).
% 54.08/34.29 tff(15386,plain,
% 54.08/34.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB78, 1)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, 1)),
% 54.08/34.29 inference(modus_ponens,[status(thm)],[15385, 15384])).
% 54.08/34.29 tff(15387,plain,
% 54.08/34.29 ((~v90(constB78, 1)) | v100(constB79) | v90(constB79, 1)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15386, 1641, 15368])).
% 54.08/34.29 tff(15388,plain,
% 54.08/34.29 ((~v90(constB78, 1)) | v90(constB79, 1)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15387, 15380])).
% 54.08/34.29 tff(15389,plain,
% 54.08/34.29 (v90(constB79, 1)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15388, 15362])).
% 54.08/34.29 tff(15390,assumption,(v90(constB79, 1)), introduced(assumption)).
% 54.08/34.29 tff(15391,assumption,(v120(constB75)), introduced(assumption)).
% 54.08/34.29 tff(15392,plain,
% 54.08/34.29 (v118(constB75)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[14827, 1425, 15391])).
% 54.08/34.29 tff(15393,plain,
% 54.08/34.29 (v117(constB75)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[14834, 993, 15392])).
% 54.08/34.29 tff(15394,plain,
% 54.08/34.29 (v116(constB75)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[14841, 1007, 15393])).
% 54.08/34.29 tff(15395,plain,
% 54.08/34.29 (v115(constB75)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[14845, 1021, 15394])).
% 54.08/34.29 tff(15396,plain,
% 54.08/34.29 (v114(constB75)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[14852, 1035, 15395])).
% 54.08/34.29 tff(15397,plain,
% 54.08/34.29 (v113(constB75)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[14859, 1049, 15396])).
% 54.08/34.29 tff(15398,plain,
% 54.08/34.29 (v112(constB75)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[14868, 15397])).
% 54.08/34.29 tff(15399,plain,
% 54.08/34.29 (v108(constB75)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[14875, 1075, 15398])).
% 54.08/34.29 tff(15400,plain,
% 54.08/34.29 (v110(constB76)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[14886, 15399])).
% 54.08/34.29 tff(15401,plain,
% 54.08/34.29 (v100(constB76)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[14909, 15400])).
% 54.08/34.29 tff(15402,plain,
% 54.08/34.29 (~v130(constB75, 2)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[14913, 1523, 15391])).
% 54.08/34.29 tff(15403,plain,
% 54.08/34.29 (~v127(constB75, 2)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[14921, 15402])).
% 54.08/34.29 tff(15404,plain,
% 54.08/34.29 (~v129(constB76, 2)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[14926, 15403])).
% 54.08/34.29 tff(15405,plain,
% 54.08/34.29 ((~v90(constB76, 2)) | (~v100(constB76))),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[14930, 1223, 15404])).
% 54.08/34.29 tff(15406,plain,
% 54.08/34.29 (~v90(constB76, 2)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15405, 15401])).
% 54.08/34.29 tff(15407,plain,
% 54.08/34.29 (~v90(constB77, 2)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[14958, 15406])).
% 54.08/34.29 tff(15408,plain,
% 54.08/34.29 (v130(constB75, 1)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[14962, 1579, 15391])).
% 54.08/34.29 tff(15409,plain,
% 54.08/34.29 (v127(constB75, 1)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[14967, 15408])).
% 54.08/34.29 tff(15410,plain,
% 54.08/34.29 (v129(constB76, 1)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[14972, 15409])).
% 54.08/34.29 tff(15411,plain,
% 54.08/34.29 (v90(constB76, 1) | (~v100(constB76))),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[14979, 1623, 15410])).
% 54.08/34.29 tff(15412,plain,
% 54.08/34.29 (v90(constB76, 1)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15411, 15401])).
% 54.08/34.29 tff(15413,plain,
% 54.08/34.29 (v90(constB77, 1)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[14989, 15412])).
% 54.08/34.29 tff(15414,plain,
% 54.08/34.29 (~v130(constB75, 0)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[14993, 1657, 15391])).
% 54.08/34.29 tff(15415,plain,
% 54.08/34.29 (~v127(constB75, 0)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15001, 15414])).
% 54.08/34.29 tff(15416,plain,
% 54.08/34.29 (~v129(constB76, 0)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15006, 15415])).
% 54.08/34.29 tff(15417,plain,
% 54.08/34.29 ((~v90(constB76, 0)) | (~v100(constB76))),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15013, 1704, 15416])).
% 54.08/34.29 tff(15418,plain,
% 54.08/34.29 (~v90(constB76, 0)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15417, 15401])).
% 54.08/34.29 tff(15419,plain,
% 54.08/34.29 (~v90(constB77, 0)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15023, 15418])).
% 54.08/34.29 tff(15420,plain,
% 54.08/34.29 (v121(constB77)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15027, 1731, 15419, 15413, 15407])).
% 54.08/34.29 tff(15421,plain,
% 54.08/34.29 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB77)) | v130(constB77, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB77)) | v130(constB77, 0))),
% 54.08/34.29 inference(rewrite,[status(thm)],[])).
% 54.08/34.29 tff(15422,plain,
% 54.08/34.29 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB77)) | v130(constB77, 0))),
% 54.08/34.29 inference(quant_inst,[status(thm)],[])).
% 54.08/34.29 tff(15423,plain,
% 54.08/34.29 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB77)) | v130(constB77, 0)),
% 54.08/34.29 inference(modus_ponens,[status(thm)],[15422, 15421])).
% 54.08/34.29 tff(15424,plain,
% 54.08/34.29 (v130(constB77, 0)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15423, 1915, 15420])).
% 54.08/34.29 tff(15425,plain,
% 54.08/34.29 (v127(constB77, 0)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15255, 15424])).
% 54.08/34.29 tff(15426,plain,
% 54.08/34.29 (v129(constB78, 0)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15250, 15425])).
% 54.08/34.29 tff(15427,plain,
% 54.08/34.29 (v100(constB78)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15353, 15407])).
% 54.08/34.29 tff(15428,plain,
% 54.08/34.29 (v90(constB78, 0) | (~v129(constB78, 0))),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15244, 1377, 15427])).
% 54.08/34.29 tff(15429,plain,
% 54.08/34.29 (v90(constB78, 0)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15428, 15426])).
% 54.08/34.29 tff(15430,plain,
% 54.08/34.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB78, 0)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB78, 0)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, 0))),
% 54.08/34.29 inference(rewrite,[status(thm)],[])).
% 54.08/34.29 tff(15431,plain,
% 54.08/34.29 (((~nextState(constB78, constB79)) | (~v90(constB78, 0)) | v100(constB79) | v90(constB79, 0)) <=> ((~v90(constB78, 0)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, 0))),
% 54.08/34.29 inference(rewrite,[status(thm)],[])).
% 54.08/34.29 tff(15432,plain,
% 54.08/34.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB78, constB79)) | (~v90(constB78, 0)) | v100(constB79) | v90(constB79, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB78, 0)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, 0)))),
% 54.08/34.29 inference(monotonicity,[status(thm)],[15431])).
% 54.08/34.29 tff(15433,plain,
% 54.08/34.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB78, constB79)) | (~v90(constB78, 0)) | v100(constB79) | v90(constB79, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB78, 0)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, 0))),
% 54.08/34.29 inference(transitivity,[status(thm)],[15432, 15430])).
% 54.08/34.29 tff(15434,plain,
% 54.08/34.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB78, constB79)) | (~v90(constB78, 0)) | v100(constB79) | v90(constB79, 0))),
% 54.08/34.29 inference(quant_inst,[status(thm)],[])).
% 54.08/34.29 tff(15435,plain,
% 54.08/34.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB78, 0)) | (~nextState(constB78, constB79)) | v100(constB79) | v90(constB79, 0)),
% 54.08/34.29 inference(modus_ponens,[status(thm)],[15434, 15433])).
% 54.08/34.29 tff(15436,plain,
% 54.08/34.29 ((~v90(constB78, 0)) | v100(constB79) | v90(constB79, 0)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15435, 1395, 15368])).
% 54.08/34.29 tff(15437,plain,
% 54.08/34.29 ((~v90(constB78, 0)) | v90(constB79, 0)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15436, 15380])).
% 54.08/34.29 tff(15438,plain,
% 54.08/34.29 (v90(constB79, 0)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15437, 15429])).
% 54.08/34.29 tff(15439,plain,
% 54.08/34.29 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB77)) | (~v130(constB77, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB77)) | (~v130(constB77, 2)))),
% 54.08/34.29 inference(rewrite,[status(thm)],[])).
% 54.08/34.29 tff(15440,plain,
% 54.08/34.29 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB77)) | (~v130(constB77, 2)))),
% 54.08/34.29 inference(quant_inst,[status(thm)],[])).
% 54.08/34.29 tff(15441,plain,
% 54.08/34.29 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB77)) | (~v130(constB77, 2))),
% 54.08/34.29 inference(modus_ponens,[status(thm)],[15440, 15439])).
% 54.08/34.29 tff(15442,plain,
% 54.08/34.29 (~v130(constB77, 2)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15441, 1821, 15420])).
% 54.08/34.29 tff(15443,plain,
% 54.08/34.29 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB77, 2)) | v26(constB77) | v130(constB77, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB77, 2)) | v26(constB77) | v130(constB77, 2))),
% 54.08/34.29 inference(rewrite,[status(thm)],[])).
% 54.08/34.29 tff(15444,plain,
% 54.08/34.29 ((v26(constB77) | v130(constB77, 2) | (~v127(constB77, 2))) <=> ((~v127(constB77, 2)) | v26(constB77) | v130(constB77, 2))),
% 54.08/34.29 inference(rewrite,[status(thm)],[])).
% 54.08/34.29 tff(15445,plain,
% 54.08/34.29 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB77) | v130(constB77, 2) | (~v127(constB77, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB77, 2)) | v26(constB77) | v130(constB77, 2)))),
% 54.08/34.29 inference(monotonicity,[status(thm)],[15444])).
% 54.08/34.29 tff(15446,plain,
% 54.08/34.29 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB77) | v130(constB77, 2) | (~v127(constB77, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB77, 2)) | v26(constB77) | v130(constB77, 2))),
% 54.08/34.29 inference(transitivity,[status(thm)],[15445, 15443])).
% 54.08/34.29 tff(15447,plain,
% 54.08/34.29 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB77) | v130(constB77, 2) | (~v127(constB77, 2)))),
% 54.08/34.29 inference(quant_inst,[status(thm)],[])).
% 54.08/34.29 tff(15448,plain,
% 54.08/34.29 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB77, 2)) | v26(constB77) | v130(constB77, 2)),
% 54.08/34.29 inference(modus_ponens,[status(thm)],[15447, 15446])).
% 54.08/34.29 tff(15449,plain,
% 54.08/34.29 ((~v127(constB77, 2)) | v130(constB77, 2)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15448, 1190, 15036])).
% 54.08/34.29 tff(15450,plain,
% 54.08/34.29 (~v127(constB77, 2)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15449, 15442])).
% 54.08/34.29 tff(15451,plain,
% 54.08/34.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB77, constB78)) | v127(constB77, 2) | (~v129(constB78, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB77, constB78)) | v127(constB77, 2) | (~v129(constB78, 2)))),
% 54.08/34.29 inference(rewrite,[status(thm)],[])).
% 54.08/34.29 tff(15452,plain,
% 54.08/34.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB77, constB78)) | v127(constB77, 2) | (~v129(constB78, 2)))),
% 54.08/34.29 inference(quant_inst,[status(thm)],[])).
% 54.08/34.29 tff(15453,plain,
% 54.08/34.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB77, constB78)) | v127(constB77, 2) | (~v129(constB78, 2))),
% 54.08/34.29 inference(modus_ponens,[status(thm)],[15452, 15451])).
% 54.08/34.29 tff(15454,plain,
% 54.08/34.29 (v127(constB77, 2) | (~v129(constB78, 2))),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15453, 1208, 15044])).
% 54.08/34.29 tff(15455,plain,
% 54.08/34.29 (~v129(constB78, 2)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15454, 15450])).
% 54.08/34.29 tff(15456,plain,
% 54.08/34.29 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB78, 2)) | v129(constB78, 2) | (~v100(constB78)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB78, 2)) | v129(constB78, 2) | (~v100(constB78)))),
% 54.08/34.29 inference(rewrite,[status(thm)],[])).
% 54.08/34.29 tff(15457,plain,
% 54.08/34.29 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB78, 2)) | v129(constB78, 2) | (~v100(constB78)))),
% 54.08/34.29 inference(quant_inst,[status(thm)],[])).
% 54.08/34.29 tff(15458,plain,
% 54.08/34.29 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB78, 2)) | v129(constB78, 2) | (~v100(constB78))),
% 54.08/34.29 inference(modus_ponens,[status(thm)],[15457, 15456])).
% 54.08/34.29 tff(15459,plain,
% 54.08/34.29 ((~v90(constB78, 2)) | v129(constB78, 2)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15458, 1223, 15427])).
% 54.08/34.29 tff(15460,plain,
% 54.08/34.29 (~v90(constB78, 2)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15459, 15455])).
% 54.08/34.29 tff(15461,plain,
% 54.08/34.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB78, 2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB78, 2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, 2)))),
% 54.08/34.29 inference(rewrite,[status(thm)],[])).
% 54.08/34.29 tff(15462,plain,
% 54.08/34.29 (((~nextState(constB78, constB79)) | v90(constB78, 2) | v100(constB79) | (~v90(constB79, 2))) <=> (v90(constB78, 2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, 2)))),
% 54.08/34.29 inference(rewrite,[status(thm)],[])).
% 54.08/34.29 tff(15463,plain,
% 54.08/34.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB78, constB79)) | v90(constB78, 2) | v100(constB79) | (~v90(constB79, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB78, 2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, 2))))),
% 54.08/34.29 inference(monotonicity,[status(thm)],[15462])).
% 54.08/34.29 tff(15464,plain,
% 54.08/34.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB78, constB79)) | v90(constB78, 2) | v100(constB79) | (~v90(constB79, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB78, 2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, 2)))),
% 54.08/34.29 inference(transitivity,[status(thm)],[15463, 15461])).
% 54.08/34.29 tff(15465,plain,
% 54.08/34.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB78, constB79)) | v90(constB78, 2) | v100(constB79) | (~v90(constB79, 2)))),
% 54.08/34.29 inference(quant_inst,[status(thm)],[])).
% 54.08/34.29 tff(15466,plain,
% 54.08/34.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB78, 2) | (~nextState(constB78, constB79)) | v100(constB79) | (~v90(constB79, 2))),
% 54.08/34.29 inference(modus_ponens,[status(thm)],[15465, 15464])).
% 54.08/34.29 tff(15467,plain,
% 54.08/34.29 (v90(constB78, 2) | v100(constB79) | (~v90(constB79, 2))),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15466, 905, 15368])).
% 54.08/34.29 tff(15468,plain,
% 54.08/34.29 (v90(constB78, 2) | (~v90(constB79, 2))),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15467, 15380])).
% 54.08/34.29 tff(15469,plain,
% 54.08/34.29 (~v90(constB79, 2)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15468, 15460])).
% 54.08/34.29 tff(15470,assumption,(~v122(constB79)), introduced(assumption)).
% 54.08/34.29 tff(15471,plain,
% 54.08/34.29 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB79, 0)) | (~v90(constB79, 1)) | v90(constB79, 2) | v122(constB79))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB79, 0)) | (~v90(constB79, 1)) | v90(constB79, 2) | v122(constB79))),
% 54.08/34.29 inference(rewrite,[status(thm)],[])).
% 54.08/34.29 tff(15472,plain,
% 54.08/34.29 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB79, 0)) | (~v90(constB79, 1)) | v90(constB79, 2) | v122(constB79))),
% 54.08/34.29 inference(quant_inst,[status(thm)],[])).
% 54.08/34.29 tff(15473,plain,
% 54.08/34.29 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB79, 0)) | (~v90(constB79, 1)) | v90(constB79, 2) | v122(constB79)),
% 54.08/34.29 inference(modus_ponens,[status(thm)],[15472, 15471])).
% 54.08/34.29 tff(15474,plain,
% 54.08/34.29 ((~v90(constB79, 0)) | (~v90(constB79, 1)) | v90(constB79, 2)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15473, 1956, 15470])).
% 54.08/34.29 tff(15475,plain,
% 54.08/34.29 ($false),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15474, 15469, 15438, 15390])).
% 54.08/34.29 tff(15476,plain,((~v120(constB75)) | (~v90(constB79, 1)) | v122(constB79)), inference(lemma,lemma(discharge,[]))).
% 54.08/34.29 tff(15477,plain,
% 54.08/34.29 (v122(constB79)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15476, 15389, 14821])).
% 54.08/34.29 tff(15478,plain,
% 54.08/34.29 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB79)) | v130(constB79, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB79)) | v130(constB79, 2))),
% 54.08/34.29 inference(rewrite,[status(thm)],[])).
% 54.08/34.29 tff(15479,plain,
% 54.08/34.29 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB79)) | v130(constB79, 2))),
% 54.08/34.29 inference(quant_inst,[status(thm)],[])).
% 54.08/34.29 tff(15480,plain,
% 54.08/34.29 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB79)) | v130(constB79, 2)),
% 54.08/34.29 inference(modus_ponens,[status(thm)],[15479, 15478])).
% 54.08/34.29 tff(15481,plain,
% 54.08/34.29 (v130(constB79, 2)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15480, 1967, 15477])).
% 54.08/34.29 tff(15482,plain,
% 54.08/34.29 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB79) | (~v130(constB79, 2)) | v127(constB79, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB79) | (~v130(constB79, 2)) | v127(constB79, 2))),
% 54.08/34.29 inference(rewrite,[status(thm)],[])).
% 54.08/34.29 tff(15483,plain,
% 54.08/34.29 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB79) | (~v130(constB79, 2)) | v127(constB79, 2))),
% 54.08/34.29 inference(quant_inst,[status(thm)],[])).
% 54.08/34.29 tff(15484,plain,
% 54.08/34.29 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB79) | (~v130(constB79, 2)) | v127(constB79, 2)),
% 54.08/34.29 inference(modus_ponens,[status(thm)],[15483, 15482])).
% 54.08/34.29 tff(15485,plain,
% 54.08/34.29 (v26(constB79) | v127(constB79, 2)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15484, 1981, 15481])).
% 54.08/34.29 tff(15486,plain,
% 54.08/34.29 (v127(constB79, 2)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15485, 14428])).
% 54.08/34.29 tff(15487,plain,
% 54.08/34.29 (nextState(constB79, constB80) <=> nextState(constB79, constB80)),
% 54.08/34.29 inference(rewrite,[status(thm)],[])).
% 54.08/34.29 tff(15488,axiom,(nextState(constB79, constB80)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_79_1')).
% 54.08/34.29 tff(15489,plain,
% 54.08/34.29 (nextState(constB79, constB80)),
% 54.08/34.29 inference(modus_ponens,[status(thm)],[15488, 15487])).
% 54.08/34.29 tff(15490,plain,
% 54.08/34.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB79, constB80)) | (~v127(constB79, 2)) | v129(constB80, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB79, constB80)) | (~v127(constB79, 2)) | v129(constB80, 2))),
% 54.08/34.29 inference(rewrite,[status(thm)],[])).
% 54.08/34.29 tff(15491,plain,
% 54.08/34.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB79, constB80)) | (~v127(constB79, 2)) | v129(constB80, 2))),
% 54.08/34.29 inference(quant_inst,[status(thm)],[])).
% 54.08/34.29 tff(15492,plain,
% 54.08/34.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB79, constB80)) | (~v127(constB79, 2)) | v129(constB80, 2)),
% 54.08/34.29 inference(modus_ponens,[status(thm)],[15491, 15490])).
% 54.08/34.29 tff(15493,plain,
% 54.08/34.29 ((~v127(constB79, 2)) | v129(constB80, 2)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15492, 1999, 15489])).
% 54.08/34.29 tff(15494,plain,
% 54.08/34.29 (v129(constB80, 2)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15493, 15486])).
% 54.08/34.29 tff(15495,plain,
% 54.08/34.29 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB79) | (~v122(constB79)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB79) | (~v122(constB79)))),
% 54.08/34.29 inference(rewrite,[status(thm)],[])).
% 54.08/34.29 tff(15496,plain,
% 54.08/34.29 (((~v122(constB79)) | v116(constB79)) <=> (v116(constB79) | (~v122(constB79)))),
% 54.08/34.29 inference(rewrite,[status(thm)],[])).
% 54.08/34.29 tff(15497,plain,
% 54.08/34.29 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB79)) | v116(constB79))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB79) | (~v122(constB79))))),
% 54.08/34.29 inference(monotonicity,[status(thm)],[15496])).
% 54.08/34.29 tff(15498,plain,
% 54.08/34.29 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB79)) | v116(constB79))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB79) | (~v122(constB79)))),
% 54.08/34.29 inference(transitivity,[status(thm)],[15497, 15495])).
% 54.08/34.29 tff(15499,plain,
% 54.08/34.29 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB79)) | v116(constB79))),
% 54.08/34.29 inference(quant_inst,[status(thm)],[])).
% 54.08/34.29 tff(15500,plain,
% 54.08/34.29 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB79) | (~v122(constB79))),
% 54.08/34.29 inference(modus_ponens,[status(thm)],[15499, 15498])).
% 54.08/34.29 tff(15501,plain,
% 54.08/34.29 (v116(constB79)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15500, 2120, 15477])).
% 54.08/34.29 tff(15502,plain,
% 54.08/34.29 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB79) | (~v116(constB79)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB79) | (~v116(constB79)))),
% 54.08/34.29 inference(rewrite,[status(thm)],[])).
% 54.08/34.29 tff(15503,plain,
% 54.08/34.29 (((~v116(constB79)) | v115(constB79)) <=> (v115(constB79) | (~v116(constB79)))),
% 54.08/34.29 inference(rewrite,[status(thm)],[])).
% 54.08/34.29 tff(15504,plain,
% 54.08/34.29 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB79)) | v115(constB79))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB79) | (~v116(constB79))))),
% 54.08/34.29 inference(monotonicity,[status(thm)],[15503])).
% 54.08/34.29 tff(15505,plain,
% 54.08/34.29 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB79)) | v115(constB79))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB79) | (~v116(constB79)))),
% 54.08/34.29 inference(transitivity,[status(thm)],[15504, 15502])).
% 54.08/34.29 tff(15506,plain,
% 54.08/34.29 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB79)) | v115(constB79))),
% 54.08/34.29 inference(quant_inst,[status(thm)],[])).
% 54.08/34.29 tff(15507,plain,
% 54.08/34.29 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB79) | (~v116(constB79))),
% 54.08/34.29 inference(modus_ponens,[status(thm)],[15506, 15505])).
% 54.08/34.29 tff(15508,plain,
% 54.08/34.29 (v115(constB79)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15507, 1021, 15501])).
% 54.08/34.29 tff(15509,plain,
% 54.08/34.29 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB79) | (~v115(constB79)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB79) | (~v115(constB79)))),
% 54.08/34.29 inference(rewrite,[status(thm)],[])).
% 54.08/34.29 tff(15510,plain,
% 54.08/34.29 (((~v115(constB79)) | v114(constB79)) <=> (v114(constB79) | (~v115(constB79)))),
% 54.08/34.29 inference(rewrite,[status(thm)],[])).
% 54.08/34.29 tff(15511,plain,
% 54.08/34.29 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB79)) | v114(constB79))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB79) | (~v115(constB79))))),
% 54.08/34.29 inference(monotonicity,[status(thm)],[15510])).
% 54.08/34.29 tff(15512,plain,
% 54.08/34.29 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB79)) | v114(constB79))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB79) | (~v115(constB79)))),
% 54.08/34.29 inference(transitivity,[status(thm)],[15511, 15509])).
% 54.08/34.29 tff(15513,plain,
% 54.08/34.29 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB79)) | v114(constB79))),
% 54.08/34.29 inference(quant_inst,[status(thm)],[])).
% 54.08/34.29 tff(15514,plain,
% 54.08/34.29 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB79) | (~v115(constB79))),
% 54.08/34.29 inference(modus_ponens,[status(thm)],[15513, 15512])).
% 54.08/34.29 tff(15515,plain,
% 54.08/34.29 (v114(constB79)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15514, 1035, 15508])).
% 54.08/34.29 tff(15516,plain,
% 54.08/34.29 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB79) | (~v114(constB79)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB79) | (~v114(constB79)))),
% 54.08/34.29 inference(rewrite,[status(thm)],[])).
% 54.08/34.29 tff(15517,plain,
% 54.08/34.29 (((~v114(constB79)) | v113(constB79)) <=> (v113(constB79) | (~v114(constB79)))),
% 54.08/34.29 inference(rewrite,[status(thm)],[])).
% 54.08/34.29 tff(15518,plain,
% 54.08/34.29 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB79)) | v113(constB79))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB79) | (~v114(constB79))))),
% 54.08/34.29 inference(monotonicity,[status(thm)],[15517])).
% 54.08/34.29 tff(15519,plain,
% 54.08/34.29 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB79)) | v113(constB79))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB79) | (~v114(constB79)))),
% 54.08/34.29 inference(transitivity,[status(thm)],[15518, 15516])).
% 54.08/34.29 tff(15520,plain,
% 54.08/34.29 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB79)) | v113(constB79))),
% 54.08/34.29 inference(quant_inst,[status(thm)],[])).
% 54.08/34.29 tff(15521,plain,
% 54.08/34.29 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB79) | (~v114(constB79))),
% 54.08/34.29 inference(modus_ponens,[status(thm)],[15520, 15519])).
% 54.08/34.29 tff(15522,plain,
% 54.08/34.29 (v113(constB79)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15521, 1049, 15515])).
% 54.08/34.29 tff(15523,assumption,(~v108(constB79)), introduced(assumption)).
% 54.08/34.29 tff(15524,plain,
% 54.08/34.29 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB79) | (~v112(constB79)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB79) | (~v112(constB79)))),
% 54.08/34.29 inference(rewrite,[status(thm)],[])).
% 54.08/34.29 tff(15525,plain,
% 54.08/34.29 (((~v112(constB79)) | v108(constB79)) <=> (v108(constB79) | (~v112(constB79)))),
% 54.08/34.29 inference(rewrite,[status(thm)],[])).
% 54.08/34.29 tff(15526,plain,
% 54.08/34.29 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB79)) | v108(constB79))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB79) | (~v112(constB79))))),
% 54.08/34.29 inference(monotonicity,[status(thm)],[15525])).
% 54.08/34.29 tff(15527,plain,
% 54.08/34.29 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB79)) | v108(constB79))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB79) | (~v112(constB79)))),
% 54.08/34.29 inference(transitivity,[status(thm)],[15526, 15524])).
% 54.08/34.29 tff(15528,plain,
% 54.08/34.29 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB79)) | v108(constB79))),
% 54.08/34.29 inference(quant_inst,[status(thm)],[])).
% 54.08/34.29 tff(15529,plain,
% 54.08/34.29 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB79) | (~v112(constB79))),
% 54.08/34.29 inference(modus_ponens,[status(thm)],[15528, 15527])).
% 54.08/34.29 tff(15530,plain,
% 54.08/34.29 (~v112(constB79)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15529, 1075, 15523])).
% 54.08/34.29 tff(15531,plain,
% 54.08/34.29 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB79) | (~v26(constB79)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB79) | (~v26(constB79)))),
% 54.08/34.29 inference(rewrite,[status(thm)],[])).
% 54.08/34.29 tff(15532,plain,
% 54.08/34.29 (((~v26(constB79)) | v108(constB79)) <=> (v108(constB79) | (~v26(constB79)))),
% 54.08/34.29 inference(rewrite,[status(thm)],[])).
% 54.08/34.29 tff(15533,plain,
% 54.08/34.29 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB79)) | v108(constB79))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB79) | (~v26(constB79))))),
% 54.08/34.29 inference(monotonicity,[status(thm)],[15532])).
% 54.08/34.29 tff(15534,plain,
% 54.08/34.29 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB79)) | v108(constB79))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB79) | (~v26(constB79)))),
% 54.08/34.29 inference(transitivity,[status(thm)],[15533, 15531])).
% 54.08/34.29 tff(15535,plain,
% 54.08/34.29 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB79)) | v108(constB79))),
% 54.08/34.29 inference(quant_inst,[status(thm)],[])).
% 54.08/34.29 tff(15536,plain,
% 54.08/34.29 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB79) | (~v26(constB79))),
% 54.08/34.29 inference(modus_ponens,[status(thm)],[15535, 15534])).
% 54.08/34.29 tff(15537,plain,
% 54.08/34.29 (~v26(constB79)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15536, 2050, 15523])).
% 54.08/34.29 tff(15538,assumption,(v113(constB79)), introduced(assumption)).
% 54.08/34.29 tff(15539,plain,
% 54.08/34.29 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB79) | v112(constB79) | (~v113(constB79)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB79) | v112(constB79) | (~v113(constB79)))),
% 54.08/34.29 inference(rewrite,[status(thm)],[])).
% 54.08/34.29 tff(15540,plain,
% 54.08/34.29 ((v26(constB79) | (~v113(constB79)) | v112(constB79)) <=> (v26(constB79) | v112(constB79) | (~v113(constB79)))),
% 54.08/34.29 inference(rewrite,[status(thm)],[])).
% 54.08/34.29 tff(15541,plain,
% 54.08/34.29 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB79) | (~v113(constB79)) | v112(constB79))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB79) | v112(constB79) | (~v113(constB79))))),
% 54.08/34.29 inference(monotonicity,[status(thm)],[15540])).
% 54.08/34.29 tff(15542,plain,
% 54.08/34.29 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB79) | (~v113(constB79)) | v112(constB79))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB79) | v112(constB79) | (~v113(constB79)))),
% 54.08/34.29 inference(transitivity,[status(thm)],[15541, 15539])).
% 54.08/34.29 tff(15543,plain,
% 54.08/34.29 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB79) | (~v113(constB79)) | v112(constB79))),
% 54.08/34.29 inference(quant_inst,[status(thm)],[])).
% 54.08/34.29 tff(15544,plain,
% 54.08/34.29 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB79) | v112(constB79) | (~v113(constB79))),
% 54.08/34.29 inference(modus_ponens,[status(thm)],[15543, 15542])).
% 54.08/34.29 tff(15545,plain,
% 54.08/34.29 (v26(constB79) | v112(constB79)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15544, 1063, 15538])).
% 54.08/34.29 tff(15546,plain,
% 54.08/34.29 ($false),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15545, 15537, 15530])).
% 54.08/34.29 tff(15547,plain,(v108(constB79) | (~v113(constB79))), inference(lemma,lemma(discharge,[]))).
% 54.08/34.29 tff(15548,plain,
% 54.08/34.29 (v108(constB79)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15547, 15522])).
% 54.08/34.29 tff(15549,plain,
% 54.08/34.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79)))),
% 54.08/34.29 inference(rewrite,[status(thm)],[])).
% 54.08/34.29 tff(15550,plain,
% 54.08/34.29 (((~nextState(constB79, constB80)) | (~v108(constB79)) | v110(constB80)) <=> ((~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79)))),
% 54.08/34.29 inference(rewrite,[status(thm)],[])).
% 54.08/34.29 tff(15551,plain,
% 54.08/34.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB79, constB80)) | (~v108(constB79)) | v110(constB80))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79))))),
% 54.08/34.29 inference(monotonicity,[status(thm)],[15550])).
% 54.08/34.29 tff(15552,plain,
% 54.08/34.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB79, constB80)) | (~v108(constB79)) | v110(constB80))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79)))),
% 54.08/34.29 inference(transitivity,[status(thm)],[15551, 15549])).
% 54.08/34.29 tff(15553,plain,
% 54.08/34.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB79, constB80)) | (~v108(constB79)) | v110(constB80))),
% 54.08/34.29 inference(quant_inst,[status(thm)],[])).
% 54.08/34.29 tff(15554,plain,
% 54.08/34.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB79, constB80)) | v110(constB80) | (~v108(constB79))),
% 54.08/34.29 inference(modus_ponens,[status(thm)],[15553, 15552])).
% 54.08/34.29 tff(15555,plain,
% 54.08/34.29 (v110(constB80) | (~v108(constB79))),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15554, 1095, 15489])).
% 54.08/34.29 tff(15556,plain,
% 54.08/34.29 (v110(constB80)),
% 54.08/34.29 inference(unit_resolution,[status(thm)],[15555, 15548])).
% 54.08/34.29 tff(15557,plain,
% 54.08/34.29 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB79) | (~nextState(constB79, constB80)) | (~v104(constB80)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB79) | (~nextState(constB79, constB80)) | (~v104(constB80)))),
% 54.08/34.30 inference(rewrite,[status(thm)],[])).
% 54.08/34.30 tff(15558,plain,
% 54.08/34.30 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB79) | (~nextState(constB79, constB80)) | (~v104(constB80)))),
% 54.08/34.30 inference(quant_inst,[status(thm)],[])).
% 54.08/34.30 tff(15559,plain,
% 54.08/34.30 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB79) | (~nextState(constB79, constB80)) | (~v104(constB80))),
% 54.08/34.30 inference(modus_ponens,[status(thm)],[15558, 15557])).
% 54.08/34.30 tff(15560,plain,
% 54.08/34.30 (~v104(constB80)),
% 54.08/34.30 inference(unit_resolution,[status(thm)],[15559, 1113, 15489, 15365])).
% 54.08/34.30 tff(15561,plain,
% 54.08/34.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB79, constB80)) | v102(constB80) | v104(constB80))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB79, constB80)) | v102(constB80) | v104(constB80))),
% 54.08/34.30 inference(rewrite,[status(thm)],[])).
% 54.08/34.30 tff(15562,plain,
% 54.08/34.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB79, constB80)) | v102(constB80) | v104(constB80))),
% 54.08/34.30 inference(quant_inst,[status(thm)],[])).
% 54.08/34.30 tff(15563,plain,
% 54.08/34.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB79, constB80)) | v102(constB80) | v104(constB80)),
% 54.08/34.30 inference(modus_ponens,[status(thm)],[15562, 15561])).
% 54.08/34.30 tff(15564,plain,
% 54.08/34.30 (v102(constB80) | v104(constB80)),
% 54.08/34.30 inference(unit_resolution,[status(thm)],[15563, 1127, 15489])).
% 54.08/34.30 tff(15565,plain,
% 54.08/34.30 (v102(constB80)),
% 54.08/34.30 inference(unit_resolution,[status(thm)],[15564, 15560])).
% 54.08/34.30 tff(15566,plain,
% 54.08/34.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB79, constB80)) | v101(constB80) | (~v102(constB80)) | (~v1(constB80)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB79, constB80)) | v101(constB80) | (~v102(constB80)) | (~v1(constB80)))),
% 54.08/34.30 inference(rewrite,[status(thm)],[])).
% 54.08/34.30 tff(15567,plain,
% 54.08/34.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB79, constB80)) | v101(constB80) | (~v102(constB80)) | (~v1(constB80)))),
% 54.08/34.30 inference(quant_inst,[status(thm)],[])).
% 54.08/34.30 tff(15568,plain,
% 54.08/34.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB79, constB80)) | v101(constB80) | (~v102(constB80)) | (~v1(constB80))),
% 54.08/34.30 inference(modus_ponens,[status(thm)],[15567, 15566])).
% 54.08/34.30 tff(15569,plain,
% 54.08/34.30 (v101(constB80) | (~v102(constB80))),
% 54.08/34.30 inference(unit_resolution,[status(thm)],[15568, 1145, 15489, 387])).
% 54.08/34.30 tff(15570,plain,
% 54.08/34.30 (v101(constB80)),
% 54.08/34.30 inference(unit_resolution,[status(thm)],[15569, 15565])).
% 54.08/34.30 tff(15571,plain,
% 54.08/34.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80)))),
% 54.08/34.30 inference(rewrite,[status(thm)],[])).
% 54.08/34.30 tff(15572,plain,
% 54.08/34.30 (((~nextState(constB79, constB80)) | (~v101(constB80)) | (~v110(constB80)) | v100(constB80)) <=> ((~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80)))),
% 54.08/34.30 inference(rewrite,[status(thm)],[])).
% 54.08/34.30 tff(15573,plain,
% 54.08/34.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | (~v101(constB80)) | (~v110(constB80)) | v100(constB80))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80))))),
% 54.08/34.30 inference(monotonicity,[status(thm)],[15572])).
% 54.08/34.30 tff(15574,plain,
% 54.08/34.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | (~v101(constB80)) | (~v110(constB80)) | v100(constB80))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80)))),
% 54.08/34.30 inference(transitivity,[status(thm)],[15573, 15571])).
% 54.08/34.30 tff(15575,plain,
% 54.08/34.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB79, constB80)) | (~v101(constB80)) | (~v110(constB80)) | v100(constB80))),
% 54.08/34.30 inference(quant_inst,[status(thm)],[])).
% 54.08/34.30 tff(15576,plain,
% 54.08/34.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB79, constB80)) | v100(constB80) | (~v101(constB80)) | (~v110(constB80))),
% 54.08/34.30 inference(modus_ponens,[status(thm)],[15575, 15574])).
% 54.08/34.30 tff(15577,plain,
% 54.08/34.30 (v100(constB80) | (~v101(constB80)) | (~v110(constB80))),
% 54.08/34.30 inference(unit_resolution,[status(thm)],[15576, 1160, 15489])).
% 54.08/34.30 tff(15578,plain,
% 54.08/34.30 (v100(constB80) | (~v110(constB80))),
% 54.08/34.30 inference(unit_resolution,[status(thm)],[15577, 15570])).
% 54.08/34.30 tff(15579,plain,
% 54.08/34.30 (v100(constB80)),
% 54.08/34.30 inference(unit_resolution,[status(thm)],[15578, 15556])).
% 54.08/34.30 tff(15580,plain,
% 54.08/34.30 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB80, 2) | (~v129(constB80, 2)) | (~v100(constB80)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB80, 2) | (~v129(constB80, 2)) | (~v100(constB80)))),
% 54.08/34.30 inference(rewrite,[status(thm)],[])).
% 54.08/34.30 tff(15581,plain,
% 54.08/34.30 ((v90(constB80, 2) | (~v100(constB80)) | (~v129(constB80, 2))) <=> (v90(constB80, 2) | (~v129(constB80, 2)) | (~v100(constB80)))),
% 54.08/34.30 inference(rewrite,[status(thm)],[])).
% 54.08/34.30 tff(15582,plain,
% 54.08/34.30 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB80, 2) | (~v100(constB80)) | (~v129(constB80, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB80, 2) | (~v129(constB80, 2)) | (~v100(constB80))))),
% 54.08/34.30 inference(monotonicity,[status(thm)],[15581])).
% 54.08/34.30 tff(15583,plain,
% 54.08/34.30 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB80, 2) | (~v100(constB80)) | (~v129(constB80, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB80, 2) | (~v129(constB80, 2)) | (~v100(constB80)))),
% 54.08/34.30 inference(transitivity,[status(thm)],[15582, 15580])).
% 54.08/34.30 tff(15584,plain,
% 54.08/34.30 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB80, 2) | (~v100(constB80)) | (~v129(constB80, 2)))),
% 54.08/34.30 inference(quant_inst,[status(thm)],[])).
% 54.08/34.30 tff(15585,plain,
% 54.08/34.30 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB80, 2) | (~v129(constB80, 2)) | (~v100(constB80))),
% 54.08/34.30 inference(modus_ponens,[status(thm)],[15584, 15583])).
% 54.08/34.30 tff(15586,plain,
% 54.08/34.30 (v90(constB80, 2) | (~v129(constB80, 2))),
% 54.08/34.30 inference(unit_resolution,[status(thm)],[15585, 2324, 15579])).
% 54.08/34.30 tff(15587,plain,
% 54.08/34.30 (v90(constB80, 2)),
% 54.08/34.30 inference(unit_resolution,[status(thm)],[15586, 15494])).
% 54.08/34.30 tff(15588,plain,
% 54.08/34.30 ((~v1(constB81)) <=> (~v1(constB81))),
% 54.08/34.30 inference(rewrite,[status(thm)],[])).
% 54.08/34.30 tff(15589,axiom,(~v1(constB81)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_81_1_1')).
% 54.08/34.30 tff(15590,plain,
% 54.08/34.30 (~v1(constB81)),
% 54.08/34.30 inference(modus_ponens,[status(thm)],[15589, 15588])).
% 54.08/34.30 tff(15591,plain,
% 54.08/34.30 (nextState(constB80, constB81) <=> nextState(constB80, constB81)),
% 54.08/34.30 inference(rewrite,[status(thm)],[])).
% 54.08/34.30 tff(15592,axiom,(nextState(constB80, constB81)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_80_1')).
% 54.08/34.30 tff(15593,plain,
% 54.08/34.30 (nextState(constB80, constB81)),
% 54.08/34.30 inference(modus_ponens,[status(thm)],[15592, 15591])).
% 54.08/34.30 tff(15594,plain,
% 54.08/34.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81)))),
% 54.08/34.30 inference(rewrite,[status(thm)],[])).
% 54.08/34.30 tff(15595,plain,
% 54.08/34.30 (((~nextState(constB80, constB81)) | (~v101(constB81)) | v1(constB81)) <=> (v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81)))),
% 54.08/34.30 inference(rewrite,[status(thm)],[])).
% 54.08/34.30 tff(15596,plain,
% 54.08/34.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB80, constB81)) | (~v101(constB81)) | v1(constB81))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81))))),
% 54.08/34.30 inference(monotonicity,[status(thm)],[15595])).
% 54.08/34.30 tff(15597,plain,
% 54.08/34.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB80, constB81)) | (~v101(constB81)) | v1(constB81))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81)))),
% 54.08/34.30 inference(transitivity,[status(thm)],[15596, 15594])).
% 54.08/34.30 tff(15598,plain,
% 54.08/34.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB80, constB81)) | (~v101(constB81)) | v1(constB81))),
% 54.08/34.30 inference(quant_inst,[status(thm)],[])).
% 54.08/34.30 tff(15599,plain,
% 54.08/34.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB81) | (~nextState(constB80, constB81)) | (~v101(constB81))),
% 54.08/34.30 inference(modus_ponens,[status(thm)],[15598, 15597])).
% 54.08/34.30 tff(15600,plain,
% 54.08/34.30 (~v101(constB81)),
% 54.08/34.30 inference(unit_resolution,[status(thm)],[15599, 873, 15593, 15590])).
% 54.08/34.30 tff(15601,plain,
% 54.08/34.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB80, constB81)) | v101(constB81) | (~v100(constB81)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB80, constB81)) | v101(constB81) | (~v100(constB81)))),
% 54.08/34.30 inference(rewrite,[status(thm)],[])).
% 54.08/34.30 tff(15602,plain,
% 54.08/34.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB80, constB81)) | v101(constB81) | (~v100(constB81)))),
% 54.08/34.30 inference(quant_inst,[status(thm)],[])).
% 54.08/34.30 tff(15603,plain,
% 54.08/34.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB80, constB81)) | v101(constB81) | (~v100(constB81))),
% 54.08/34.30 inference(modus_ponens,[status(thm)],[15602, 15601])).
% 54.08/34.30 tff(15604,plain,
% 54.08/34.30 (v101(constB81) | (~v100(constB81))),
% 54.08/34.30 inference(unit_resolution,[status(thm)],[15603, 890, 15593])).
% 54.08/34.30 tff(15605,plain,
% 54.08/34.30 (~v100(constB81)),
% 54.08/34.30 inference(unit_resolution,[status(thm)],[15604, 15600])).
% 54.08/34.30 tff(15606,plain,
% 54.08/34.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB80, 2)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB80, 2)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, 2))),
% 54.08/34.30 inference(rewrite,[status(thm)],[])).
% 54.08/34.30 tff(15607,plain,
% 54.08/34.30 (((~nextState(constB80, constB81)) | (~v90(constB80, 2)) | v100(constB81) | v90(constB81, 2)) <=> ((~v90(constB80, 2)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, 2))),
% 54.08/34.30 inference(rewrite,[status(thm)],[])).
% 54.08/34.30 tff(15608,plain,
% 54.08/34.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB80, constB81)) | (~v90(constB80, 2)) | v100(constB81) | v90(constB81, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB80, 2)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, 2)))),
% 54.08/34.30 inference(monotonicity,[status(thm)],[15607])).
% 54.08/34.30 tff(15609,plain,
% 54.08/34.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB80, constB81)) | (~v90(constB80, 2)) | v100(constB81) | v90(constB81, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB80, 2)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, 2))),
% 54.08/34.30 inference(transitivity,[status(thm)],[15608, 15606])).
% 54.08/34.30 tff(15610,plain,
% 54.08/34.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB80, constB81)) | (~v90(constB80, 2)) | v100(constB81) | v90(constB81, 2))),
% 54.08/34.30 inference(quant_inst,[status(thm)],[])).
% 54.08/34.30 tff(15611,plain,
% 54.08/34.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB80, 2)) | (~nextState(constB80, constB81)) | v100(constB81) | v90(constB81, 2)),
% 54.08/34.30 inference(modus_ponens,[status(thm)],[15610, 15609])).
% 54.08/34.30 tff(15612,plain,
% 54.08/34.30 ((~v90(constB80, 2)) | v100(constB81) | v90(constB81, 2)),
% 54.08/34.30 inference(unit_resolution,[status(thm)],[15611, 2174, 15593])).
% 54.08/34.30 tff(15613,plain,
% 54.08/34.30 ((~v90(constB80, 2)) | v90(constB81, 2)),
% 54.08/34.30 inference(unit_resolution,[status(thm)],[15612, 15605])).
% 54.08/34.30 tff(15614,plain,
% 54.08/34.30 (v90(constB81, 2)),
% 54.08/34.30 inference(unit_resolution,[status(thm)],[15613, 15587])).
% 54.08/34.30 tff(15615,plain,
% 54.08/34.30 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB79)) | (~v130(constB79, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB79)) | (~v130(constB79, 1)))),
% 54.08/34.30 inference(rewrite,[status(thm)],[])).
% 54.08/34.30 tff(15616,plain,
% 54.08/34.30 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB79)) | (~v130(constB79, 1)))),
% 54.08/34.30 inference(quant_inst,[status(thm)],[])).
% 54.08/34.30 tff(15617,plain,
% 54.08/34.30 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB79)) | (~v130(constB79, 1))),
% 54.08/34.30 inference(modus_ponens,[status(thm)],[15616, 15615])).
% 54.08/34.30 tff(15618,plain,
% 54.08/34.30 (~v130(constB79, 1)),
% 54.08/34.30 inference(unit_resolution,[status(thm)],[15617, 2366, 15477])).
% 54.08/34.30 tff(15619,plain,
% 54.08/34.30 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB79, 1)) | v26(constB79) | v130(constB79, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB79, 1)) | v26(constB79) | v130(constB79, 1))),
% 54.08/34.30 inference(rewrite,[status(thm)],[])).
% 54.08/34.30 tff(15620,plain,
% 54.08/34.30 ((v26(constB79) | v130(constB79, 1) | (~v127(constB79, 1))) <=> ((~v127(constB79, 1)) | v26(constB79) | v130(constB79, 1))),
% 54.08/34.30 inference(rewrite,[status(thm)],[])).
% 54.08/34.30 tff(15621,plain,
% 54.08/34.30 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB79) | v130(constB79, 1) | (~v127(constB79, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB79, 1)) | v26(constB79) | v130(constB79, 1)))),
% 54.08/34.30 inference(monotonicity,[status(thm)],[15620])).
% 54.08/34.30 tff(15622,plain,
% 54.08/34.30 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB79) | v130(constB79, 1) | (~v127(constB79, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB79, 1)) | v26(constB79) | v130(constB79, 1))),
% 54.08/34.30 inference(transitivity,[status(thm)],[15621, 15619])).
% 54.08/34.30 tff(15623,plain,
% 54.08/34.30 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB79) | v130(constB79, 1) | (~v127(constB79, 1)))),
% 54.08/34.30 inference(quant_inst,[status(thm)],[])).
% 54.08/34.30 tff(15624,plain,
% 54.08/34.30 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB79, 1)) | v26(constB79) | v130(constB79, 1)),
% 54.08/34.30 inference(modus_ponens,[status(thm)],[15623, 15622])).
% 54.08/34.30 tff(15625,plain,
% 54.08/34.30 ((~v127(constB79, 1)) | v26(constB79)),
% 54.08/34.30 inference(unit_resolution,[status(thm)],[15624, 1276, 15618])).
% 54.08/34.30 tff(15626,plain,
% 54.08/34.30 (~v127(constB79, 1)),
% 54.08/34.30 inference(unit_resolution,[status(thm)],[15625, 14428])).
% 54.08/34.30 tff(15627,plain,
% 54.08/34.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB79, constB80)) | v127(constB79, 1) | (~v129(constB80, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB79, constB80)) | v127(constB79, 1) | (~v129(constB80, 1)))),
% 54.08/34.30 inference(rewrite,[status(thm)],[])).
% 54.08/34.30 tff(15628,plain,
% 54.08/34.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB79, constB80)) | v127(constB79, 1) | (~v129(constB80, 1)))),
% 54.08/34.30 inference(quant_inst,[status(thm)],[])).
% 54.08/34.30 tff(15629,plain,
% 54.08/34.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB79, constB80)) | v127(constB79, 1) | (~v129(constB80, 1))),
% 54.08/34.30 inference(modus_ponens,[status(thm)],[15628, 15627])).
% 54.08/34.30 tff(15630,plain,
% 54.08/34.30 (v127(constB79, 1) | (~v129(constB80, 1))),
% 54.08/34.30 inference(unit_resolution,[status(thm)],[15629, 1294, 15489])).
% 54.08/34.30 tff(15631,plain,
% 54.08/34.30 (~v129(constB80, 1)),
% 54.08/34.30 inference(unit_resolution,[status(thm)],[15630, 15626])).
% 54.08/34.30 tff(15632,plain,
% 54.08/34.30 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB80, 1)) | v129(constB80, 1) | (~v100(constB80)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB80, 1)) | v129(constB80, 1) | (~v100(constB80)))),
% 54.08/34.30 inference(rewrite,[status(thm)],[])).
% 54.08/34.30 tff(15633,plain,
% 54.08/34.30 (((~v90(constB80, 1)) | (~v100(constB80)) | v129(constB80, 1)) <=> ((~v90(constB80, 1)) | v129(constB80, 1) | (~v100(constB80)))),
% 54.08/34.30 inference(rewrite,[status(thm)],[])).
% 54.08/34.30 tff(15634,plain,
% 54.08/34.30 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB80, 1)) | (~v100(constB80)) | v129(constB80, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB80, 1)) | v129(constB80, 1) | (~v100(constB80))))),
% 54.08/34.30 inference(monotonicity,[status(thm)],[15633])).
% 54.08/34.30 tff(15635,plain,
% 54.08/34.30 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB80, 1)) | (~v100(constB80)) | v129(constB80, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB80, 1)) | v129(constB80, 1) | (~v100(constB80)))),
% 54.08/34.30 inference(transitivity,[status(thm)],[15634, 15632])).
% 54.08/34.30 tff(15636,plain,
% 54.08/34.30 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB80, 1)) | (~v100(constB80)) | v129(constB80, 1))),
% 54.08/34.30 inference(quant_inst,[status(thm)],[])).
% 54.08/34.30 tff(15637,plain,
% 54.08/34.30 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB80, 1)) | v129(constB80, 1) | (~v100(constB80))),
% 54.08/34.30 inference(modus_ponens,[status(thm)],[15636, 15635])).
% 54.08/34.30 tff(15638,plain,
% 54.08/34.30 ((~v90(constB80, 1)) | v129(constB80, 1)),
% 54.08/34.30 inference(unit_resolution,[status(thm)],[15637, 1309, 15579])).
% 54.08/34.30 tff(15639,plain,
% 54.08/34.30 (~v90(constB80, 1)),
% 54.08/34.30 inference(unit_resolution,[status(thm)],[15638, 15631])).
% 54.08/34.30 tff(15640,plain,
% 54.08/34.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB80, 1) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB80, 1) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, 1)))),
% 54.08/34.30 inference(rewrite,[status(thm)],[])).
% 54.08/34.30 tff(15641,plain,
% 54.08/34.30 (((~nextState(constB80, constB81)) | v90(constB80, 1) | v100(constB81) | (~v90(constB81, 1))) <=> (v90(constB80, 1) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, 1)))),
% 54.08/34.30 inference(rewrite,[status(thm)],[])).
% 54.08/34.30 tff(15642,plain,
% 54.08/34.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB80, constB81)) | v90(constB80, 1) | v100(constB81) | (~v90(constB81, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB80, 1) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, 1))))),
% 54.08/34.30 inference(monotonicity,[status(thm)],[15641])).
% 54.08/34.30 tff(15643,plain,
% 54.08/34.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB80, constB81)) | v90(constB80, 1) | v100(constB81) | (~v90(constB81, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB80, 1) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, 1)))),
% 54.08/34.30 inference(transitivity,[status(thm)],[15642, 15640])).
% 54.08/34.30 tff(15644,plain,
% 54.08/34.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB80, constB81)) | v90(constB80, 1) | v100(constB81) | (~v90(constB81, 1)))),
% 54.08/34.30 inference(quant_inst,[status(thm)],[])).
% 54.08/34.30 tff(15645,plain,
% 54.08/34.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB80, 1) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, 1))),
% 54.08/34.30 inference(modus_ponens,[status(thm)],[15644, 15643])).
% 54.08/34.30 tff(15646,plain,
% 54.08/34.30 (v90(constB80, 1) | v100(constB81) | (~v90(constB81, 1))),
% 54.08/34.30 inference(unit_resolution,[status(thm)],[15645, 926, 15593])).
% 54.08/34.30 tff(15647,plain,
% 54.08/34.30 (v90(constB80, 1) | (~v90(constB81, 1))),
% 54.08/34.30 inference(unit_resolution,[status(thm)],[15646, 15605])).
% 54.08/34.30 tff(15648,plain,
% 54.08/34.30 (~v90(constB81, 1)),
% 54.08/34.30 inference(unit_resolution,[status(thm)],[15647, 15639])).
% 54.08/34.30 tff(15649,plain,
% 54.08/34.30 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB79)) | (~v130(constB79, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB79)) | (~v130(constB79, 0)))),
% 54.08/34.30 inference(rewrite,[status(thm)],[])).
% 54.08/34.30 tff(15650,plain,
% 54.08/34.30 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB79)) | (~v130(constB79, 0)))),
% 54.08/34.30 inference(quant_inst,[status(thm)],[])).
% 54.08/34.30 tff(15651,plain,
% 54.08/34.30 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB79)) | (~v130(constB79, 0))),
% 54.08/34.30 inference(modus_ponens,[status(thm)],[15650, 15649])).
% 54.08/34.30 tff(15652,plain,
% 54.08/34.30 (~v130(constB79, 0)),
% 54.08/34.30 inference(unit_resolution,[status(thm)],[15651, 2407, 15477])).
% 54.08/34.30 tff(15653,plain,
% 54.08/34.30 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB79, 0)) | v26(constB79) | v130(constB79, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB79, 0)) | v26(constB79) | v130(constB79, 0))),
% 54.08/34.30 inference(rewrite,[status(thm)],[])).
% 54.08/34.30 tff(15654,plain,
% 54.08/34.30 ((v26(constB79) | v130(constB79, 0) | (~v127(constB79, 0))) <=> ((~v127(constB79, 0)) | v26(constB79) | v130(constB79, 0))),
% 54.08/34.30 inference(rewrite,[status(thm)],[])).
% 54.08/34.30 tff(15655,plain,
% 54.08/34.30 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB79) | v130(constB79, 0) | (~v127(constB79, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB79, 0)) | v26(constB79) | v130(constB79, 0)))),
% 54.08/34.30 inference(monotonicity,[status(thm)],[15654])).
% 54.08/34.30 tff(15656,plain,
% 54.08/34.30 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB79) | v130(constB79, 0) | (~v127(constB79, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB79, 0)) | v26(constB79) | v130(constB79, 0))),
% 54.08/34.30 inference(transitivity,[status(thm)],[15655, 15653])).
% 54.08/34.30 tff(15657,plain,
% 54.08/34.30 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB79) | v130(constB79, 0) | (~v127(constB79, 0)))),
% 54.08/34.30 inference(quant_inst,[status(thm)],[])).
% 54.08/34.30 tff(15658,plain,
% 54.08/34.30 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB79, 0)) | v26(constB79) | v130(constB79, 0)),
% 54.08/34.30 inference(modus_ponens,[status(thm)],[15657, 15656])).
% 54.08/34.30 tff(15659,plain,
% 54.08/34.30 ((~v127(constB79, 0)) | v26(constB79)),
% 54.08/34.30 inference(unit_resolution,[status(thm)],[15658, 1671, 15652])).
% 54.08/34.30 tff(15660,plain,
% 54.08/34.30 (~v127(constB79, 0)),
% 54.08/34.30 inference(unit_resolution,[status(thm)],[15659, 14428])).
% 54.08/34.30 tff(15661,plain,
% 54.08/34.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB79, constB80)) | v127(constB79, 0) | (~v129(constB80, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB79, constB80)) | v127(constB79, 0) | (~v129(constB80, 0)))),
% 54.08/34.30 inference(rewrite,[status(thm)],[])).
% 54.08/34.30 tff(15662,plain,
% 54.08/34.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB79, constB80)) | v127(constB79, 0) | (~v129(constB80, 0)))),
% 54.08/34.30 inference(quant_inst,[status(thm)],[])).
% 54.08/34.30 tff(15663,plain,
% 54.08/34.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB79, constB80)) | v127(constB79, 0) | (~v129(constB80, 0))),
% 54.08/34.30 inference(modus_ponens,[status(thm)],[15662, 15661])).
% 54.08/34.30 tff(15664,plain,
% 54.08/34.30 (v127(constB79, 0) | (~v129(constB80, 0))),
% 54.08/34.30 inference(unit_resolution,[status(thm)],[15663, 1689, 15489])).
% 54.08/34.30 tff(15665,plain,
% 54.08/34.30 (~v129(constB80, 0)),
% 54.08/34.30 inference(unit_resolution,[status(thm)],[15664, 15660])).
% 54.08/34.30 tff(15666,plain,
% 54.08/34.30 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB80, 0)) | v129(constB80, 0) | (~v100(constB80)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB80, 0)) | v129(constB80, 0) | (~v100(constB80)))),
% 54.08/34.30 inference(rewrite,[status(thm)],[])).
% 54.08/34.30 tff(15667,plain,
% 54.08/34.30 (((~v90(constB80, 0)) | (~v100(constB80)) | v129(constB80, 0)) <=> ((~v90(constB80, 0)) | v129(constB80, 0) | (~v100(constB80)))),
% 54.08/34.30 inference(rewrite,[status(thm)],[])).
% 54.08/34.30 tff(15668,plain,
% 54.08/34.30 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB80, 0)) | (~v100(constB80)) | v129(constB80, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB80, 0)) | v129(constB80, 0) | (~v100(constB80))))),
% 54.08/34.30 inference(monotonicity,[status(thm)],[15667])).
% 54.08/34.30 tff(15669,plain,
% 54.08/34.30 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB80, 0)) | (~v100(constB80)) | v129(constB80, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB80, 0)) | v129(constB80, 0) | (~v100(constB80)))),
% 54.08/34.30 inference(transitivity,[status(thm)],[15668, 15666])).
% 54.08/34.30 tff(15670,plain,
% 54.08/34.30 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB80, 0)) | (~v100(constB80)) | v129(constB80, 0))),
% 54.08/34.30 inference(quant_inst,[status(thm)],[])).
% 54.08/34.30 tff(15671,plain,
% 54.08/34.30 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB80, 0)) | v129(constB80, 0) | (~v100(constB80))),
% 54.08/34.30 inference(modus_ponens,[status(thm)],[15670, 15669])).
% 54.08/34.30 tff(15672,plain,
% 54.08/34.30 ((~v90(constB80, 0)) | v129(constB80, 0)),
% 54.08/34.30 inference(unit_resolution,[status(thm)],[15671, 1704, 15579])).
% 54.08/34.30 tff(15673,plain,
% 54.08/34.30 (~v90(constB80, 0)),
% 54.08/34.30 inference(unit_resolution,[status(thm)],[15672, 15665])).
% 54.08/34.30 tff(15674,plain,
% 54.08/34.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB80, 0) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB80, 0) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, 0)))),
% 54.08/34.30 inference(rewrite,[status(thm)],[])).
% 54.08/34.30 tff(15675,plain,
% 54.08/34.30 (((~nextState(constB80, constB81)) | v90(constB80, 0) | v100(constB81) | (~v90(constB81, 0))) <=> (v90(constB80, 0) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, 0)))),
% 54.08/34.30 inference(rewrite,[status(thm)],[])).
% 54.08/34.30 tff(15676,plain,
% 54.08/34.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB80, constB81)) | v90(constB80, 0) | v100(constB81) | (~v90(constB81, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB80, 0) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, 0))))),
% 54.08/34.30 inference(monotonicity,[status(thm)],[15675])).
% 54.08/34.30 tff(15677,plain,
% 54.08/34.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB80, constB81)) | v90(constB80, 0) | v100(constB81) | (~v90(constB81, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB80, 0) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, 0)))),
% 54.08/34.30 inference(transitivity,[status(thm)],[15676, 15674])).
% 54.08/34.30 tff(15678,plain,
% 54.08/34.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB80, constB81)) | v90(constB80, 0) | v100(constB81) | (~v90(constB81, 0)))),
% 54.08/34.30 inference(quant_inst,[status(thm)],[])).
% 54.08/34.30 tff(15679,plain,
% 54.08/34.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB80, 0) | (~nextState(constB80, constB81)) | v100(constB81) | (~v90(constB81, 0))),
% 54.08/34.30 inference(modus_ponens,[status(thm)],[15678, 15677])).
% 54.08/34.30 tff(15680,plain,
% 54.08/34.30 (v90(constB80, 0) | v100(constB81) | (~v90(constB81, 0))),
% 54.08/34.30 inference(unit_resolution,[status(thm)],[15679, 947, 15593])).
% 54.08/34.30 tff(15681,plain,
% 54.08/34.30 (v90(constB80, 0) | (~v90(constB81, 0))),
% 54.08/34.30 inference(unit_resolution,[status(thm)],[15680, 15605])).
% 54.08/34.30 tff(15682,plain,
% 54.08/34.30 (~v90(constB81, 0)),
% 54.08/34.30 inference(unit_resolution,[status(thm)],[15681, 15673])).
% 54.08/34.30 tff(15683,plain,
% 54.08/34.30 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB81, 0) | v90(constB81, 1) | (~v90(constB81, 2)) | v123(constB81))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB81, 0) | v90(constB81, 1) | (~v90(constB81, 2)) | v123(constB81))),
% 54.08/34.30 inference(rewrite,[status(thm)],[])).
% 54.08/34.30 tff(15684,plain,
% 54.08/34.30 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB81, 0) | v90(constB81, 1) | (~v90(constB81, 2)) | v123(constB81))),
% 54.08/34.30 inference(quant_inst,[status(thm)],[])).
% 54.08/34.30 tff(15685,plain,
% 54.08/34.30 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB81, 0) | v90(constB81, 1) | (~v90(constB81, 2)) | v123(constB81)),
% 54.08/34.30 inference(modus_ponens,[status(thm)],[15684, 15683])).
% 54.08/34.30 tff(15686,plain,
% 54.08/34.30 (v123(constB81)),
% 54.08/34.30 inference(unit_resolution,[status(thm)],[15685, 2308, 15682, 15648, 15614])).
% 54.08/34.30 tff(15687,plain,
% 54.08/34.30 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB81)) | v115(constB81))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB81)) | v115(constB81))),
% 54.08/34.30 inference(rewrite,[status(thm)],[])).
% 54.08/34.30 tff(15688,plain,
% 54.08/34.30 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB81)) | v115(constB81))),
% 54.08/34.30 inference(quant_inst,[status(thm)],[])).
% 54.08/34.30 tff(15689,plain,
% 54.08/34.30 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB81)) | v115(constB81)),
% 54.08/34.30 inference(modus_ponens,[status(thm)],[15688, 15687])).
% 54.08/34.30 tff(15690,plain,
% 54.08/34.30 (v115(constB81)),
% 54.08/34.30 inference(unit_resolution,[status(thm)],[15689, 2291, 15686])).
% 54.08/34.30 tff(15691,plain,
% 54.08/34.30 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB81) | (~v115(constB81)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB81) | (~v115(constB81)))),
% 54.08/34.30 inference(rewrite,[status(thm)],[])).
% 54.08/34.30 tff(15692,plain,
% 54.08/34.30 (((~v115(constB81)) | v114(constB81)) <=> (v114(constB81) | (~v115(constB81)))),
% 54.08/34.30 inference(rewrite,[status(thm)],[])).
% 54.08/34.30 tff(15693,plain,
% 54.08/34.30 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB81)) | v114(constB81))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB81) | (~v115(constB81))))),
% 54.08/34.30 inference(monotonicity,[status(thm)],[15692])).
% 54.08/34.30 tff(15694,plain,
% 54.08/34.30 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB81)) | v114(constB81))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB81) | (~v115(constB81)))),
% 54.08/34.30 inference(transitivity,[status(thm)],[15693, 15691])).
% 54.08/34.30 tff(15695,plain,
% 54.08/34.30 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB81)) | v114(constB81))),
% 54.08/34.30 inference(quant_inst,[status(thm)],[])).
% 54.08/34.30 tff(15696,plain,
% 54.08/34.30 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB81) | (~v115(constB81))),
% 54.08/34.30 inference(modus_ponens,[status(thm)],[15695, 15694])).
% 54.08/34.30 tff(15697,plain,
% 54.08/34.30 (v114(constB81)),
% 54.08/34.30 inference(unit_resolution,[status(thm)],[15696, 1035, 15690])).
% 54.08/34.30 tff(15698,plain,
% 54.08/34.30 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB81) | (~v114(constB81)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB81) | (~v114(constB81)))),
% 54.08/34.30 inference(rewrite,[status(thm)],[])).
% 54.08/34.30 tff(15699,plain,
% 54.08/34.30 (((~v114(constB81)) | v113(constB81)) <=> (v113(constB81) | (~v114(constB81)))),
% 54.08/34.30 inference(rewrite,[status(thm)],[])).
% 54.08/34.30 tff(15700,plain,
% 54.08/34.30 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB81)) | v113(constB81))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB81) | (~v114(constB81))))),
% 54.08/34.30 inference(monotonicity,[status(thm)],[15699])).
% 54.08/34.30 tff(15701,plain,
% 54.08/34.30 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB81)) | v113(constB81))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB81) | (~v114(constB81)))),
% 54.08/34.30 inference(transitivity,[status(thm)],[15700, 15698])).
% 54.08/34.30 tff(15702,plain,
% 54.08/34.30 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB81)) | v113(constB81))),
% 54.08/34.30 inference(quant_inst,[status(thm)],[])).
% 54.08/34.30 tff(15703,plain,
% 54.08/34.30 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB81) | (~v114(constB81))),
% 54.08/34.30 inference(modus_ponens,[status(thm)],[15702, 15701])).
% 54.08/34.30 tff(15704,plain,
% 54.08/34.30 (v113(constB81)),
% 54.08/34.30 inference(unit_resolution,[status(thm)],[15703, 1049, 15697])).
% 54.08/34.30 tff(15705,assumption,(v26(constB81)), introduced(assumption)).
% 54.08/34.30 tff(15706,plain,
% 54.08/34.30 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB81))),
% 54.08/34.30 inference(quant_inst,[status(thm)],[])).
% 54.08/34.30 tff(15707,plain,
% 54.08/34.30 ($false),
% 54.08/34.30 inference(unit_resolution,[status(thm)],[15706, 828, 15705])).
% 54.08/34.30 tff(15708,plain,(~v26(constB81)), inference(lemma,lemma(discharge,[]))).
% 54.08/34.30 tff(15709,plain,
% 54.08/34.30 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB81) | (~v113(constB81)) | v112(constB81))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB81) | (~v113(constB81)) | v112(constB81))),
% 54.08/34.30 inference(rewrite,[status(thm)],[])).
% 54.08/34.30 tff(15710,plain,
% 54.08/34.30 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB81) | (~v113(constB81)) | v112(constB81))),
% 54.08/34.30 inference(quant_inst,[status(thm)],[])).
% 54.08/34.30 tff(15711,plain,
% 54.08/34.30 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB81) | (~v113(constB81)) | v112(constB81)),
% 54.08/34.30 inference(modus_ponens,[status(thm)],[15710, 15709])).
% 54.08/34.30 tff(15712,plain,
% 54.08/34.30 ((~v113(constB81)) | v112(constB81)),
% 54.08/34.30 inference(unit_resolution,[status(thm)],[15711, 1063, 15708])).
% 54.08/34.30 tff(15713,plain,
% 54.08/34.30 (v112(constB81)),
% 54.08/34.30 inference(unit_resolution,[status(thm)],[15712, 15704])).
% 54.08/34.30 tff(15714,plain,
% 54.08/34.30 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB81) | (~v112(constB81)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB81) | (~v112(constB81)))),
% 54.08/34.30 inference(rewrite,[status(thm)],[])).
% 54.08/34.30 tff(15715,plain,
% 54.08/34.30 (((~v112(constB81)) | v108(constB81)) <=> (v108(constB81) | (~v112(constB81)))),
% 54.08/34.30 inference(rewrite,[status(thm)],[])).
% 54.08/34.30 tff(15716,plain,
% 54.08/34.30 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB81)) | v108(constB81))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB81) | (~v112(constB81))))),
% 54.08/34.30 inference(monotonicity,[status(thm)],[15715])).
% 54.08/34.30 tff(15717,plain,
% 54.08/34.30 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB81)) | v108(constB81))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB81) | (~v112(constB81)))),
% 54.08/34.30 inference(transitivity,[status(thm)],[15716, 15714])).
% 54.08/34.30 tff(15718,plain,
% 54.08/34.30 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB81)) | v108(constB81))),
% 54.08/34.30 inference(quant_inst,[status(thm)],[])).
% 54.08/34.30 tff(15719,plain,
% 54.08/34.30 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB81) | (~v112(constB81))),
% 54.08/34.30 inference(modus_ponens,[status(thm)],[15718, 15717])).
% 54.08/34.30 tff(15720,plain,
% 54.08/34.30 (v108(constB81)),
% 54.08/34.30 inference(unit_resolution,[status(thm)],[15719, 1075, 15713])).
% 54.08/34.30 tff(15721,plain,
% 54.08/34.30 (nextState(constB81, constB82) <=> nextState(constB81, constB82)),
% 54.08/34.30 inference(rewrite,[status(thm)],[])).
% 54.08/34.30 tff(15722,axiom,(nextState(constB81, constB82)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_81_1')).
% 54.08/34.30 tff(15723,plain,
% 54.08/34.30 (nextState(constB81, constB82)),
% 54.08/34.30 inference(modus_ponens,[status(thm)],[15722, 15721])).
% 54.08/34.30 tff(15724,plain,
% 54.08/34.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81)))),
% 54.08/34.30 inference(rewrite,[status(thm)],[])).
% 54.08/34.30 tff(15725,plain,
% 54.08/34.30 (((~nextState(constB81, constB82)) | (~v108(constB81)) | v110(constB82)) <=> ((~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81)))),
% 54.08/34.30 inference(rewrite,[status(thm)],[])).
% 54.08/34.30 tff(15726,plain,
% 54.08/34.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | (~v108(constB81)) | v110(constB82))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81))))),
% 54.08/34.30 inference(monotonicity,[status(thm)],[15725])).
% 54.08/34.30 tff(15727,plain,
% 54.08/34.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | (~v108(constB81)) | v110(constB82))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81)))),
% 54.08/34.30 inference(transitivity,[status(thm)],[15726, 15724])).
% 54.08/34.30 tff(15728,plain,
% 54.08/34.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB81, constB82)) | (~v108(constB81)) | v110(constB82))),
% 54.08/34.30 inference(quant_inst,[status(thm)],[])).
% 54.08/34.30 tff(15729,plain,
% 54.08/34.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB81, constB82)) | v110(constB82) | (~v108(constB81))),
% 54.08/34.30 inference(modus_ponens,[status(thm)],[15728, 15727])).
% 54.08/34.30 tff(15730,plain,
% 54.08/34.30 (v110(constB82) | (~v108(constB81))),
% 54.08/34.30 inference(unit_resolution,[status(thm)],[15729, 1095, 15723])).
% 54.08/34.30 tff(15731,plain,
% 54.08/34.30 (v110(constB82)),
% 54.08/34.30 inference(unit_resolution,[status(thm)],[15730, 15720])).
% 54.08/34.30 tff(15732,plain,
% 54.08/34.30 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB81) | (~nextState(constB81, constB82)) | (~v104(constB82)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB81) | (~nextState(constB81, constB82)) | (~v104(constB82)))),
% 54.08/34.30 inference(rewrite,[status(thm)],[])).
% 54.08/34.30 tff(15733,plain,
% 54.08/34.30 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB81) | (~nextState(constB81, constB82)) | (~v104(constB82)))),
% 54.08/34.30 inference(quant_inst,[status(thm)],[])).
% 54.08/34.30 tff(15734,plain,
% 54.08/34.30 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB81) | (~nextState(constB81, constB82)) | (~v104(constB82))),
% 54.08/34.30 inference(modus_ponens,[status(thm)],[15733, 15732])).
% 54.08/34.30 tff(15735,plain,
% 54.08/34.30 (~v104(constB82)),
% 54.08/34.30 inference(unit_resolution,[status(thm)],[15734, 1113, 15723, 15590])).
% 54.08/34.30 tff(15736,plain,
% 54.08/34.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB81, constB82)) | v102(constB82) | v104(constB82))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB81, constB82)) | v102(constB82) | v104(constB82))),
% 54.08/34.30 inference(rewrite,[status(thm)],[])).
% 54.08/34.30 tff(15737,plain,
% 54.08/34.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB81, constB82)) | v102(constB82) | v104(constB82))),
% 54.08/34.31 inference(quant_inst,[status(thm)],[])).
% 54.08/34.31 tff(15738,plain,
% 54.08/34.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB81, constB82)) | v102(constB82) | v104(constB82)),
% 54.08/34.31 inference(modus_ponens,[status(thm)],[15737, 15736])).
% 54.08/34.31 tff(15739,plain,
% 54.08/34.31 (v102(constB82) | v104(constB82)),
% 54.08/34.31 inference(unit_resolution,[status(thm)],[15738, 1127, 15723])).
% 54.08/34.31 tff(15740,plain,
% 54.08/34.31 (v102(constB82)),
% 54.08/34.31 inference(unit_resolution,[status(thm)],[15739, 15735])).
% 54.08/34.31 tff(15741,plain,
% 54.08/34.31 (v1(constB82) <=> v1(constB82)),
% 54.08/34.31 inference(rewrite,[status(thm)],[])).
% 54.08/34.31 tff(15742,axiom,(v1(constB82)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_82_1')).
% 54.08/34.31 tff(15743,plain,
% 54.08/34.31 (v1(constB82)),
% 54.08/34.31 inference(modus_ponens,[status(thm)],[15742, 15741])).
% 54.08/34.31 tff(15744,plain,
% 54.08/34.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB81, constB82)) | v101(constB82) | (~v102(constB82)) | (~v1(constB82)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB81, constB82)) | v101(constB82) | (~v102(constB82)) | (~v1(constB82)))),
% 54.08/34.31 inference(rewrite,[status(thm)],[])).
% 54.08/34.31 tff(15745,plain,
% 54.08/34.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB81, constB82)) | v101(constB82) | (~v102(constB82)) | (~v1(constB82)))),
% 54.08/34.31 inference(quant_inst,[status(thm)],[])).
% 54.08/34.31 tff(15746,plain,
% 54.08/34.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB81, constB82)) | v101(constB82) | (~v102(constB82)) | (~v1(constB82))),
% 54.08/34.31 inference(modus_ponens,[status(thm)],[15745, 15744])).
% 54.08/34.31 tff(15747,plain,
% 54.08/34.31 (v101(constB82) | (~v102(constB82))),
% 54.08/34.31 inference(unit_resolution,[status(thm)],[15746, 1145, 15723, 15743])).
% 54.08/34.31 tff(15748,plain,
% 54.08/34.31 (v101(constB82)),
% 54.08/34.31 inference(unit_resolution,[status(thm)],[15747, 15740])).
% 54.08/34.31 tff(15749,plain,
% 54.08/34.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82)))),
% 54.08/34.31 inference(rewrite,[status(thm)],[])).
% 54.08/34.31 tff(15750,plain,
% 54.08/34.31 (((~nextState(constB81, constB82)) | (~v101(constB82)) | (~v110(constB82)) | v100(constB82)) <=> ((~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82)))),
% 54.08/34.31 inference(rewrite,[status(thm)],[])).
% 54.08/34.31 tff(15751,plain,
% 54.08/34.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | (~v101(constB82)) | (~v110(constB82)) | v100(constB82))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82))))),
% 54.08/34.31 inference(monotonicity,[status(thm)],[15750])).
% 54.08/34.31 tff(15752,plain,
% 54.08/34.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | (~v101(constB82)) | (~v110(constB82)) | v100(constB82))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82)))),
% 54.08/34.31 inference(transitivity,[status(thm)],[15751, 15749])).
% 54.08/34.31 tff(15753,plain,
% 54.08/34.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB81, constB82)) | (~v101(constB82)) | (~v110(constB82)) | v100(constB82))),
% 54.08/34.31 inference(quant_inst,[status(thm)],[])).
% 54.08/34.31 tff(15754,plain,
% 54.08/34.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB81, constB82)) | v100(constB82) | (~v101(constB82)) | (~v110(constB82))),
% 54.08/34.31 inference(modus_ponens,[status(thm)],[15753, 15752])).
% 54.08/34.31 tff(15755,plain,
% 54.08/34.31 (v100(constB82) | (~v101(constB82)) | (~v110(constB82))),
% 54.08/34.31 inference(unit_resolution,[status(thm)],[15754, 1160, 15723])).
% 54.08/34.31 tff(15756,plain,
% 54.08/34.31 (v100(constB82) | (~v110(constB82))),
% 54.08/34.31 inference(unit_resolution,[status(thm)],[15755, 15748])).
% 54.08/34.31 tff(15757,plain,
% 54.08/34.31 (v100(constB82)),
% 54.08/34.31 inference(unit_resolution,[status(thm)],[15756, 15731])).
% 54.08/34.31 tff(15758,plain,
% 54.08/34.31 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB81)) | v130(constB81, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB81)) | v130(constB81, 2))),
% 54.08/34.31 inference(rewrite,[status(thm)],[])).
% 54.08/34.31 tff(15759,plain,
% 54.08/34.31 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB81)) | v130(constB81, 2))),
% 54.08/34.31 inference(quant_inst,[status(thm)],[])).
% 54.08/34.31 tff(15760,plain,
% 54.08/34.31 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB81)) | v130(constB81, 2)),
% 54.08/34.31 inference(modus_ponens,[status(thm)],[15759, 15758])).
% 54.08/34.31 tff(15761,plain,
% 54.08/34.31 (v130(constB81, 2)),
% 54.08/34.31 inference(unit_resolution,[status(thm)],[15760, 2525, 15686])).
% 54.08/34.31 tff(15762,plain,
% 54.08/34.31 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB81) | (~v130(constB81, 2)) | v127(constB81, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB81) | (~v130(constB81, 2)) | v127(constB81, 2))),
% 54.08/34.31 inference(rewrite,[status(thm)],[])).
% 54.08/34.31 tff(15763,plain,
% 54.08/34.31 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB81) | (~v130(constB81, 2)) | v127(constB81, 2))),
% 54.08/34.31 inference(quant_inst,[status(thm)],[])).
% 54.08/34.31 tff(15764,plain,
% 54.08/34.31 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB81) | (~v130(constB81, 2)) | v127(constB81, 2)),
% 54.08/34.31 inference(modus_ponens,[status(thm)],[15763, 15762])).
% 54.08/34.31 tff(15765,plain,
% 54.08/34.31 ((~v130(constB81, 2)) | v127(constB81, 2)),
% 54.08/34.31 inference(unit_resolution,[status(thm)],[15764, 1981, 15708])).
% 54.08/34.31 tff(15766,plain,
% 54.08/34.31 (v127(constB81, 2)),
% 54.08/34.31 inference(unit_resolution,[status(thm)],[15765, 15761])).
% 54.08/34.31 tff(15767,plain,
% 54.08/34.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB81, constB82)) | (~v127(constB81, 2)) | v129(constB82, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB81, constB82)) | (~v127(constB81, 2)) | v129(constB82, 2))),
% 54.08/34.31 inference(rewrite,[status(thm)],[])).
% 54.08/34.31 tff(15768,plain,
% 54.08/34.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB81, constB82)) | (~v127(constB81, 2)) | v129(constB82, 2))),
% 54.08/34.31 inference(quant_inst,[status(thm)],[])).
% 54.08/34.31 tff(15769,plain,
% 54.08/34.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB81, constB82)) | (~v127(constB81, 2)) | v129(constB82, 2)),
% 54.08/34.31 inference(modus_ponens,[status(thm)],[15768, 15767])).
% 54.08/34.31 tff(15770,plain,
% 54.08/34.31 ((~v127(constB81, 2)) | v129(constB82, 2)),
% 54.08/34.31 inference(unit_resolution,[status(thm)],[15769, 1999, 15723])).
% 54.08/34.31 tff(15771,plain,
% 54.08/34.31 (v129(constB82, 2)),
% 54.08/34.31 inference(unit_resolution,[status(thm)],[15770, 15766])).
% 54.08/34.31 tff(15772,plain,
% 54.08/34.31 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB82, 2) | (~v129(constB82, 2)) | (~v100(constB82)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB82, 2) | (~v129(constB82, 2)) | (~v100(constB82)))),
% 54.08/34.31 inference(rewrite,[status(thm)],[])).
% 54.08/34.31 tff(15773,plain,
% 54.08/34.31 ((v90(constB82, 2) | (~v100(constB82)) | (~v129(constB82, 2))) <=> (v90(constB82, 2) | (~v129(constB82, 2)) | (~v100(constB82)))),
% 54.08/34.31 inference(rewrite,[status(thm)],[])).
% 54.08/34.31 tff(15774,plain,
% 54.08/34.31 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB82, 2) | (~v100(constB82)) | (~v129(constB82, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB82, 2) | (~v129(constB82, 2)) | (~v100(constB82))))),
% 54.08/34.31 inference(monotonicity,[status(thm)],[15773])).
% 54.08/34.31 tff(15775,plain,
% 54.08/34.31 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB82, 2) | (~v100(constB82)) | (~v129(constB82, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB82, 2) | (~v129(constB82, 2)) | (~v100(constB82)))),
% 54.08/34.31 inference(transitivity,[status(thm)],[15774, 15772])).
% 54.08/34.31 tff(15776,plain,
% 54.08/34.31 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB82, 2) | (~v100(constB82)) | (~v129(constB82, 2)))),
% 54.08/34.31 inference(quant_inst,[status(thm)],[])).
% 54.08/34.31 tff(15777,plain,
% 54.08/34.31 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB82, 2) | (~v129(constB82, 2)) | (~v100(constB82))),
% 54.08/34.31 inference(modus_ponens,[status(thm)],[15776, 15775])).
% 54.08/34.31 tff(15778,plain,
% 54.08/34.31 (v90(constB82, 2) | (~v100(constB82))),
% 54.08/34.31 inference(unit_resolution,[status(thm)],[15777, 2324, 15771])).
% 54.08/34.31 tff(15779,plain,
% 54.08/34.31 (v90(constB82, 2)),
% 54.08/34.31 inference(unit_resolution,[status(thm)],[15778, 15757])).
% 54.08/34.31 tff(15780,plain,
% 54.08/34.31 ((~v1(constB83)) <=> (~v1(constB83))),
% 54.08/34.31 inference(rewrite,[status(thm)],[])).
% 54.08/34.31 tff(15781,axiom,(~v1(constB83)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_83_1_1')).
% 54.08/34.31 tff(15782,plain,
% 54.08/34.31 (~v1(constB83)),
% 54.08/34.31 inference(modus_ponens,[status(thm)],[15781, 15780])).
% 54.08/34.31 tff(15783,plain,
% 54.08/34.31 (nextState(constB82, constB83) <=> nextState(constB82, constB83)),
% 54.08/34.31 inference(rewrite,[status(thm)],[])).
% 54.08/34.31 tff(15784,axiom,(nextState(constB82, constB83)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_82_1')).
% 54.08/34.31 tff(15785,plain,
% 54.08/34.31 (nextState(constB82, constB83)),
% 54.08/34.31 inference(modus_ponens,[status(thm)],[15784, 15783])).
% 54.08/34.31 tff(15786,plain,
% 54.08/34.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83)))),
% 54.08/34.31 inference(rewrite,[status(thm)],[])).
% 54.08/34.31 tff(15787,plain,
% 54.08/34.31 (((~nextState(constB82, constB83)) | (~v101(constB83)) | v1(constB83)) <=> (v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83)))),
% 54.08/34.31 inference(rewrite,[status(thm)],[])).
% 54.08/34.31 tff(15788,plain,
% 54.08/34.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB82, constB83)) | (~v101(constB83)) | v1(constB83))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83))))),
% 54.08/34.31 inference(monotonicity,[status(thm)],[15787])).
% 54.08/34.31 tff(15789,plain,
% 54.08/34.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB82, constB83)) | (~v101(constB83)) | v1(constB83))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83)))),
% 54.08/34.31 inference(transitivity,[status(thm)],[15788, 15786])).
% 54.08/34.31 tff(15790,plain,
% 54.08/34.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB82, constB83)) | (~v101(constB83)) | v1(constB83))),
% 54.08/34.31 inference(quant_inst,[status(thm)],[])).
% 54.08/34.31 tff(15791,plain,
% 54.08/34.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB83) | (~nextState(constB82, constB83)) | (~v101(constB83))),
% 54.08/34.31 inference(modus_ponens,[status(thm)],[15790, 15789])).
% 54.08/34.31 tff(15792,plain,
% 54.08/34.31 (~v101(constB83)),
% 54.08/34.31 inference(unit_resolution,[status(thm)],[15791, 873, 15785, 15782])).
% 54.08/34.31 tff(15793,plain,
% 54.08/34.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB82, constB83)) | v101(constB83) | (~v100(constB83)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB82, constB83)) | v101(constB83) | (~v100(constB83)))),
% 54.08/34.31 inference(rewrite,[status(thm)],[])).
% 54.08/34.31 tff(15794,plain,
% 54.08/34.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB82, constB83)) | v101(constB83) | (~v100(constB83)))),
% 54.08/34.31 inference(quant_inst,[status(thm)],[])).
% 54.08/34.31 tff(15795,plain,
% 54.08/34.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB82, constB83)) | v101(constB83) | (~v100(constB83))),
% 54.08/34.31 inference(modus_ponens,[status(thm)],[15794, 15793])).
% 54.08/34.31 tff(15796,plain,
% 54.08/34.31 (v101(constB83) | (~v100(constB83))),
% 54.08/34.31 inference(unit_resolution,[status(thm)],[15795, 890, 15785])).
% 54.08/34.31 tff(15797,plain,
% 54.08/34.31 (~v100(constB83)),
% 54.08/34.31 inference(unit_resolution,[status(thm)],[15796, 15792])).
% 54.08/34.31 tff(15798,plain,
% 54.08/34.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB82, 2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB82, 2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, 2))),
% 54.08/34.31 inference(rewrite,[status(thm)],[])).
% 54.08/34.31 tff(15799,plain,
% 54.08/34.31 (((~nextState(constB82, constB83)) | (~v90(constB82, 2)) | v100(constB83) | v90(constB83, 2)) <=> ((~v90(constB82, 2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, 2))),
% 54.08/34.31 inference(rewrite,[status(thm)],[])).
% 54.08/34.31 tff(15800,plain,
% 54.08/34.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB82, constB83)) | (~v90(constB82, 2)) | v100(constB83) | v90(constB83, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB82, 2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, 2)))),
% 54.08/34.31 inference(monotonicity,[status(thm)],[15799])).
% 54.08/34.31 tff(15801,plain,
% 54.08/34.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB82, constB83)) | (~v90(constB82, 2)) | v100(constB83) | v90(constB83, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB82, 2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, 2))),
% 54.08/34.31 inference(transitivity,[status(thm)],[15800, 15798])).
% 54.08/34.31 tff(15802,plain,
% 54.08/34.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB82, constB83)) | (~v90(constB82, 2)) | v100(constB83) | v90(constB83, 2))),
% 54.08/34.31 inference(quant_inst,[status(thm)],[])).
% 54.08/34.31 tff(15803,plain,
% 54.08/34.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB82, 2)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, 2)),
% 54.08/34.31 inference(modus_ponens,[status(thm)],[15802, 15801])).
% 54.08/34.31 tff(15804,plain,
% 54.08/34.31 ((~v90(constB82, 2)) | v100(constB83) | v90(constB83, 2)),
% 54.08/34.31 inference(unit_resolution,[status(thm)],[15803, 2174, 15785])).
% 54.08/34.31 tff(15805,plain,
% 54.08/34.31 ((~v90(constB82, 2)) | v90(constB83, 2)),
% 54.08/34.31 inference(unit_resolution,[status(thm)],[15804, 15797])).
% 54.08/34.31 tff(15806,plain,
% 54.08/34.31 (v90(constB83, 2)),
% 54.08/34.31 inference(unit_resolution,[status(thm)],[15805, 15779])).
% 54.08/34.31 tff(15807,plain,
% 54.08/34.31 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB81)) | (~v130(constB81, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB81)) | (~v130(constB81, 1)))),
% 54.08/34.31 inference(rewrite,[status(thm)],[])).
% 54.08/34.31 tff(15808,plain,
% 54.08/34.31 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB81)) | (~v130(constB81, 1)))),
% 54.08/34.31 inference(quant_inst,[status(thm)],[])).
% 54.08/34.31 tff(15809,plain,
% 54.08/34.31 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB81)) | (~v130(constB81, 1))),
% 54.08/34.31 inference(modus_ponens,[status(thm)],[15808, 15807])).
% 54.08/34.31 tff(15810,plain,
% 54.08/34.31 (~v130(constB81, 1)),
% 54.08/34.31 inference(unit_resolution,[status(thm)],[15809, 2581, 15686])).
% 54.08/34.31 tff(15811,plain,
% 54.08/34.31 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB81, 1)) | v26(constB81) | v130(constB81, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB81, 1)) | v26(constB81) | v130(constB81, 1))),
% 54.08/34.31 inference(rewrite,[status(thm)],[])).
% 54.08/34.31 tff(15812,plain,
% 54.08/34.31 ((v26(constB81) | v130(constB81, 1) | (~v127(constB81, 1))) <=> ((~v127(constB81, 1)) | v26(constB81) | v130(constB81, 1))),
% 54.08/34.31 inference(rewrite,[status(thm)],[])).
% 54.08/34.31 tff(15813,plain,
% 54.08/34.31 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB81) | v130(constB81, 1) | (~v127(constB81, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB81, 1)) | v26(constB81) | v130(constB81, 1)))),
% 54.08/34.31 inference(monotonicity,[status(thm)],[15812])).
% 54.08/34.31 tff(15814,plain,
% 54.08/34.31 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB81) | v130(constB81, 1) | (~v127(constB81, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB81, 1)) | v26(constB81) | v130(constB81, 1))),
% 54.08/34.31 inference(transitivity,[status(thm)],[15813, 15811])).
% 54.08/34.31 tff(15815,plain,
% 54.08/34.31 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB81) | v130(constB81, 1) | (~v127(constB81, 1)))),
% 54.08/34.31 inference(quant_inst,[status(thm)],[])).
% 54.08/34.31 tff(15816,plain,
% 54.08/34.31 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB81, 1)) | v26(constB81) | v130(constB81, 1)),
% 54.08/34.31 inference(modus_ponens,[status(thm)],[15815, 15814])).
% 54.08/34.31 tff(15817,plain,
% 54.08/34.31 ((~v127(constB81, 1)) | v130(constB81, 1)),
% 54.08/34.31 inference(unit_resolution,[status(thm)],[15816, 1276, 15708])).
% 54.08/34.31 tff(15818,plain,
% 54.08/34.31 (~v127(constB81, 1)),
% 54.08/34.31 inference(unit_resolution,[status(thm)],[15817, 15810])).
% 54.08/34.31 tff(15819,plain,
% 54.08/34.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB81, constB82)) | v127(constB81, 1) | (~v129(constB82, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB81, constB82)) | v127(constB81, 1) | (~v129(constB82, 1)))),
% 54.08/34.31 inference(rewrite,[status(thm)],[])).
% 54.08/34.31 tff(15820,plain,
% 54.08/34.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB81, constB82)) | v127(constB81, 1) | (~v129(constB82, 1)))),
% 54.08/34.31 inference(quant_inst,[status(thm)],[])).
% 54.08/34.31 tff(15821,plain,
% 54.08/34.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB81, constB82)) | v127(constB81, 1) | (~v129(constB82, 1))),
% 54.08/34.31 inference(modus_ponens,[status(thm)],[15820, 15819])).
% 54.08/34.31 tff(15822,plain,
% 54.08/34.31 (v127(constB81, 1) | (~v129(constB82, 1))),
% 54.08/34.31 inference(unit_resolution,[status(thm)],[15821, 1294, 15723])).
% 54.08/34.31 tff(15823,plain,
% 54.08/34.31 (~v129(constB82, 1)),
% 54.08/34.31 inference(unit_resolution,[status(thm)],[15822, 15818])).
% 54.08/34.31 tff(15824,plain,
% 54.08/34.31 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB82, 1)) | v129(constB82, 1) | (~v100(constB82)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB82, 1)) | v129(constB82, 1) | (~v100(constB82)))),
% 54.08/34.31 inference(rewrite,[status(thm)],[])).
% 54.08/34.31 tff(15825,plain,
% 54.08/34.31 (((~v90(constB82, 1)) | (~v100(constB82)) | v129(constB82, 1)) <=> ((~v90(constB82, 1)) | v129(constB82, 1) | (~v100(constB82)))),
% 54.08/34.31 inference(rewrite,[status(thm)],[])).
% 54.08/34.31 tff(15826,plain,
% 54.08/34.31 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB82, 1)) | (~v100(constB82)) | v129(constB82, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB82, 1)) | v129(constB82, 1) | (~v100(constB82))))),
% 54.08/34.31 inference(monotonicity,[status(thm)],[15825])).
% 54.08/34.31 tff(15827,plain,
% 54.08/34.31 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB82, 1)) | (~v100(constB82)) | v129(constB82, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB82, 1)) | v129(constB82, 1) | (~v100(constB82)))),
% 54.08/34.31 inference(transitivity,[status(thm)],[15826, 15824])).
% 54.08/34.31 tff(15828,plain,
% 54.08/34.31 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB82, 1)) | (~v100(constB82)) | v129(constB82, 1))),
% 54.08/34.31 inference(quant_inst,[status(thm)],[])).
% 54.08/34.31 tff(15829,plain,
% 54.08/34.31 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB82, 1)) | v129(constB82, 1) | (~v100(constB82))),
% 54.08/34.31 inference(modus_ponens,[status(thm)],[15828, 15827])).
% 54.08/34.31 tff(15830,plain,
% 54.08/34.31 ((~v90(constB82, 1)) | (~v100(constB82))),
% 54.08/34.31 inference(unit_resolution,[status(thm)],[15829, 1309, 15823])).
% 54.08/34.31 tff(15831,plain,
% 54.08/34.31 (~v90(constB82, 1)),
% 54.08/34.31 inference(unit_resolution,[status(thm)],[15830, 15757])).
% 54.08/34.31 tff(15832,plain,
% 54.08/34.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB82, 1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB82, 1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, 1)))),
% 54.08/34.31 inference(rewrite,[status(thm)],[])).
% 54.08/34.31 tff(15833,plain,
% 54.08/34.31 (((~nextState(constB82, constB83)) | v90(constB82, 1) | v100(constB83) | (~v90(constB83, 1))) <=> (v90(constB82, 1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, 1)))),
% 54.08/34.31 inference(rewrite,[status(thm)],[])).
% 54.08/34.31 tff(15834,plain,
% 54.08/34.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB82, constB83)) | v90(constB82, 1) | v100(constB83) | (~v90(constB83, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB82, 1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, 1))))),
% 54.08/34.31 inference(monotonicity,[status(thm)],[15833])).
% 54.08/34.31 tff(15835,plain,
% 54.08/34.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB82, constB83)) | v90(constB82, 1) | v100(constB83) | (~v90(constB83, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB82, 1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, 1)))),
% 54.08/34.31 inference(transitivity,[status(thm)],[15834, 15832])).
% 54.08/34.31 tff(15836,plain,
% 54.08/34.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB82, constB83)) | v90(constB82, 1) | v100(constB83) | (~v90(constB83, 1)))),
% 54.08/34.31 inference(quant_inst,[status(thm)],[])).
% 54.08/34.31 tff(15837,plain,
% 54.08/34.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB82, 1) | (~nextState(constB82, constB83)) | v100(constB83) | (~v90(constB83, 1))),
% 54.08/34.31 inference(modus_ponens,[status(thm)],[15836, 15835])).
% 54.08/34.31 tff(15838,plain,
% 54.08/34.31 (v90(constB82, 1) | v100(constB83) | (~v90(constB83, 1))),
% 54.08/34.31 inference(unit_resolution,[status(thm)],[15837, 926, 15785])).
% 54.08/34.31 tff(15839,plain,
% 54.08/34.31 (v90(constB82, 1) | (~v90(constB83, 1))),
% 54.08/34.31 inference(unit_resolution,[status(thm)],[15838, 15797])).
% 54.08/34.31 tff(15840,plain,
% 54.08/34.31 (~v90(constB83, 1)),
% 54.08/34.31 inference(unit_resolution,[status(thm)],[15839, 15831])).
% 54.08/34.31 tff(15841,plain,
% 54.08/34.31 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB81)) | v130(constB81, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB81)) | v130(constB81, 0))),
% 54.08/34.31 inference(rewrite,[status(thm)],[])).
% 54.08/34.31 tff(15842,plain,
% 54.08/34.31 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB81)) | v130(constB81, 0))),
% 54.08/34.31 inference(quant_inst,[status(thm)],[])).
% 54.08/34.31 tff(15843,plain,
% 54.08/34.31 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB81)) | v130(constB81, 0)),
% 54.08/34.31 inference(modus_ponens,[status(thm)],[15842, 15841])).
% 54.08/34.31 tff(15844,plain,
% 54.08/34.31 (v130(constB81, 0)),
% 54.08/34.31 inference(unit_resolution,[status(thm)],[15843, 2622, 15686])).
% 54.08/34.31 tff(15845,plain,
% 54.08/34.31 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB81) | (~v130(constB81, 0)) | v127(constB81, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB81) | (~v130(constB81, 0)) | v127(constB81, 0))),
% 54.08/34.31 inference(rewrite,[status(thm)],[])).
% 54.08/34.31 tff(15846,plain,
% 54.08/34.31 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB81) | (~v130(constB81, 0)) | v127(constB81, 0))),
% 54.08/34.31 inference(quant_inst,[status(thm)],[])).
% 54.08/34.31 tff(15847,plain,
% 54.08/34.31 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB81) | (~v130(constB81, 0)) | v127(constB81, 0)),
% 54.08/34.31 inference(modus_ponens,[status(thm)],[15846, 15845])).
% 54.08/34.31 tff(15848,plain,
% 54.08/34.31 ((~v130(constB81, 0)) | v127(constB81, 0)),
% 54.08/34.31 inference(unit_resolution,[status(thm)],[15847, 1347, 15708])).
% 54.08/34.31 tff(15849,plain,
% 54.08/34.31 (v127(constB81, 0)),
% 54.08/34.31 inference(unit_resolution,[status(thm)],[15848, 15844])).
% 54.08/34.31 tff(15850,plain,
% 54.08/34.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB81, constB82)) | (~v127(constB81, 0)) | v129(constB82, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB81, constB82)) | (~v127(constB81, 0)) | v129(constB82, 0))),
% 54.08/34.31 inference(rewrite,[status(thm)],[])).
% 54.08/34.31 tff(15851,plain,
% 54.08/34.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB81, constB82)) | (~v127(constB81, 0)) | v129(constB82, 0))),
% 54.08/34.31 inference(quant_inst,[status(thm)],[])).
% 54.08/34.31 tff(15852,plain,
% 54.08/34.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB81, constB82)) | (~v127(constB81, 0)) | v129(constB82, 0)),
% 54.08/34.31 inference(modus_ponens,[status(thm)],[15851, 15850])).
% 54.08/34.31 tff(15853,plain,
% 54.08/34.31 ((~v127(constB81, 0)) | v129(constB82, 0)),
% 54.08/34.31 inference(unit_resolution,[status(thm)],[15852, 1362, 15723])).
% 54.08/34.31 tff(15854,plain,
% 54.08/34.31 (v129(constB82, 0)),
% 54.08/34.31 inference(unit_resolution,[status(thm)],[15853, 15849])).
% 54.08/34.31 tff(15855,plain,
% 54.08/34.31 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB82, 0) | (~v129(constB82, 0)) | (~v100(constB82)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB82, 0) | (~v129(constB82, 0)) | (~v100(constB82)))),
% 54.08/34.31 inference(rewrite,[status(thm)],[])).
% 54.08/34.31 tff(15856,plain,
% 54.08/34.31 ((v90(constB82, 0) | (~v100(constB82)) | (~v129(constB82, 0))) <=> (v90(constB82, 0) | (~v129(constB82, 0)) | (~v100(constB82)))),
% 54.08/34.31 inference(rewrite,[status(thm)],[])).
% 54.08/34.31 tff(15857,plain,
% 54.08/34.31 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB82, 0) | (~v100(constB82)) | (~v129(constB82, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB82, 0) | (~v129(constB82, 0)) | (~v100(constB82))))),
% 54.08/34.31 inference(monotonicity,[status(thm)],[15856])).
% 54.08/34.31 tff(15858,plain,
% 54.08/34.31 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB82, 0) | (~v100(constB82)) | (~v129(constB82, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB82, 0) | (~v129(constB82, 0)) | (~v100(constB82)))),
% 54.08/34.31 inference(transitivity,[status(thm)],[15857, 15855])).
% 54.08/34.31 tff(15859,plain,
% 54.08/34.31 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB82, 0) | (~v100(constB82)) | (~v129(constB82, 0)))),
% 54.08/34.31 inference(quant_inst,[status(thm)],[])).
% 54.08/34.31 tff(15860,plain,
% 54.08/34.31 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB82, 0) | (~v129(constB82, 0)) | (~v100(constB82))),
% 54.08/34.31 inference(modus_ponens,[status(thm)],[15859, 15858])).
% 54.08/34.31 tff(15861,plain,
% 54.08/34.31 (v90(constB82, 0) | (~v100(constB82))),
% 54.08/34.31 inference(unit_resolution,[status(thm)],[15860, 1377, 15854])).
% 54.08/34.31 tff(15862,plain,
% 54.08/34.31 (v90(constB82, 0)),
% 54.08/34.31 inference(unit_resolution,[status(thm)],[15861, 15757])).
% 54.08/34.31 tff(15863,plain,
% 54.08/34.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB82, 0)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB82, 0)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, 0))),
% 54.08/34.31 inference(rewrite,[status(thm)],[])).
% 54.08/34.31 tff(15864,plain,
% 54.08/34.31 (((~nextState(constB82, constB83)) | (~v90(constB82, 0)) | v100(constB83) | v90(constB83, 0)) <=> ((~v90(constB82, 0)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, 0))),
% 54.08/34.31 inference(rewrite,[status(thm)],[])).
% 54.08/34.31 tff(15865,plain,
% 54.08/34.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB82, constB83)) | (~v90(constB82, 0)) | v100(constB83) | v90(constB83, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB82, 0)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, 0)))),
% 54.08/34.31 inference(monotonicity,[status(thm)],[15864])).
% 54.08/34.31 tff(15866,plain,
% 54.08/34.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB82, constB83)) | (~v90(constB82, 0)) | v100(constB83) | v90(constB83, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB82, 0)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, 0))),
% 54.08/34.31 inference(transitivity,[status(thm)],[15865, 15863])).
% 54.08/34.31 tff(15867,plain,
% 54.08/34.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB82, constB83)) | (~v90(constB82, 0)) | v100(constB83) | v90(constB83, 0))),
% 54.08/34.31 inference(quant_inst,[status(thm)],[])).
% 54.08/34.31 tff(15868,plain,
% 54.08/34.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB82, 0)) | (~nextState(constB82, constB83)) | v100(constB83) | v90(constB83, 0)),
% 54.08/34.31 inference(modus_ponens,[status(thm)],[15867, 15866])).
% 54.08/34.31 tff(15869,plain,
% 54.08/34.31 ((~v90(constB82, 0)) | v100(constB83) | v90(constB83, 0)),
% 54.08/34.31 inference(unit_resolution,[status(thm)],[15868, 1395, 15785])).
% 54.08/34.31 tff(15870,plain,
% 54.08/34.31 ((~v90(constB82, 0)) | v90(constB83, 0)),
% 54.08/34.31 inference(unit_resolution,[status(thm)],[15869, 15797])).
% 54.08/34.31 tff(15871,plain,
% 54.08/34.31 (v90(constB83, 0)),
% 54.08/34.31 inference(unit_resolution,[status(thm)],[15870, 15862])).
% 54.08/34.31 tff(15872,plain,
% 54.08/34.31 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB83, 0)) | v90(constB83, 1) | (~v90(constB83, 2)) | v124(constB83))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB83, 0)) | v90(constB83, 1) | (~v90(constB83, 2)) | v124(constB83))),
% 54.08/34.31 inference(rewrite,[status(thm)],[])).
% 54.08/34.31 tff(15873,plain,
% 54.08/34.31 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB83, 0)) | v90(constB83, 1) | (~v90(constB83, 2)) | v124(constB83))),
% 54.08/34.31 inference(quant_inst,[status(thm)],[])).
% 54.08/34.31 tff(15874,plain,
% 54.08/34.31 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB83, 0)) | v90(constB83, 1) | (~v90(constB83, 2)) | v124(constB83)),
% 54.08/34.31 inference(modus_ponens,[status(thm)],[15873, 15872])).
% 54.08/34.31 tff(15875,plain,
% 54.08/34.31 (v124(constB83)),
% 54.08/34.31 inference(unit_resolution,[status(thm)],[15874, 2663, 15871, 15840, 15806])).
% 54.08/34.31 tff(15876,plain,
% 54.08/34.31 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB83)) | v114(constB83))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB83)) | v114(constB83))),
% 54.08/34.31 inference(rewrite,[status(thm)],[])).
% 54.08/34.31 tff(15877,plain,
% 54.08/34.31 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB83)) | v114(constB83))),
% 54.08/34.31 inference(quant_inst,[status(thm)],[])).
% 54.08/34.31 tff(15878,plain,
% 54.08/34.31 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB83)) | v114(constB83)),
% 54.08/34.31 inference(modus_ponens,[status(thm)],[15877, 15876])).
% 54.08/34.31 tff(15879,plain,
% 54.08/34.31 (v114(constB83)),
% 54.08/34.31 inference(unit_resolution,[status(thm)],[15878, 2674, 15875])).
% 54.08/34.31 tff(15880,plain,
% 54.08/34.31 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB83) | (~v114(constB83)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB83) | (~v114(constB83)))),
% 54.08/34.31 inference(rewrite,[status(thm)],[])).
% 54.08/34.31 tff(15881,plain,
% 54.08/34.31 (((~v114(constB83)) | v113(constB83)) <=> (v113(constB83) | (~v114(constB83)))),
% 54.08/34.31 inference(rewrite,[status(thm)],[])).
% 54.08/34.31 tff(15882,plain,
% 54.08/34.31 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB83)) | v113(constB83))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB83) | (~v114(constB83))))),
% 54.08/34.31 inference(monotonicity,[status(thm)],[15881])).
% 54.08/34.31 tff(15883,plain,
% 54.08/34.31 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB83)) | v113(constB83))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB83) | (~v114(constB83)))),
% 54.08/34.31 inference(transitivity,[status(thm)],[15882, 15880])).
% 54.08/34.31 tff(15884,plain,
% 54.08/34.31 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB83)) | v113(constB83))),
% 54.08/34.31 inference(quant_inst,[status(thm)],[])).
% 54.08/34.31 tff(15885,plain,
% 54.08/34.31 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB83) | (~v114(constB83))),
% 54.08/34.31 inference(modus_ponens,[status(thm)],[15884, 15883])).
% 54.08/34.31 tff(15886,plain,
% 54.08/34.31 (v113(constB83)),
% 54.08/34.31 inference(unit_resolution,[status(thm)],[15885, 1049, 15879])).
% 54.08/34.31 tff(15887,assumption,(v26(constB83)), introduced(assumption)).
% 54.08/34.31 tff(15888,plain,
% 54.08/34.31 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB83))),
% 54.08/34.31 inference(quant_inst,[status(thm)],[])).
% 54.08/34.31 tff(15889,plain,
% 54.08/34.31 ($false),
% 54.08/34.31 inference(unit_resolution,[status(thm)],[15888, 828, 15887])).
% 54.08/34.31 tff(15890,plain,(~v26(constB83)), inference(lemma,lemma(discharge,[]))).
% 54.08/34.31 tff(15891,plain,
% 54.08/34.31 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB83) | v112(constB83) | (~v113(constB83)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB83) | v112(constB83) | (~v113(constB83)))),
% 54.08/34.31 inference(rewrite,[status(thm)],[])).
% 54.08/34.31 tff(15892,plain,
% 54.08/34.31 ((v26(constB83) | (~v113(constB83)) | v112(constB83)) <=> (v26(constB83) | v112(constB83) | (~v113(constB83)))),
% 54.08/34.31 inference(rewrite,[status(thm)],[])).
% 54.08/34.31 tff(15893,plain,
% 54.08/34.31 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB83) | (~v113(constB83)) | v112(constB83))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB83) | v112(constB83) | (~v113(constB83))))),
% 54.08/34.31 inference(monotonicity,[status(thm)],[15892])).
% 54.08/34.31 tff(15894,plain,
% 54.08/34.31 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB83) | (~v113(constB83)) | v112(constB83))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB83) | v112(constB83) | (~v113(constB83)))),
% 54.08/34.31 inference(transitivity,[status(thm)],[15893, 15891])).
% 54.08/34.31 tff(15895,plain,
% 54.08/34.31 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB83) | (~v113(constB83)) | v112(constB83))),
% 54.08/34.31 inference(quant_inst,[status(thm)],[])).
% 54.08/34.31 tff(15896,plain,
% 54.08/34.31 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB83) | v112(constB83) | (~v113(constB83))),
% 54.08/34.31 inference(modus_ponens,[status(thm)],[15895, 15894])).
% 54.08/34.31 tff(15897,plain,
% 54.08/34.31 (v112(constB83) | (~v113(constB83))),
% 54.08/34.31 inference(unit_resolution,[status(thm)],[15896, 1063, 15890])).
% 54.08/34.31 tff(15898,plain,
% 54.08/34.31 (v112(constB83)),
% 54.08/34.31 inference(unit_resolution,[status(thm)],[15897, 15886])).
% 54.08/34.31 tff(15899,plain,
% 54.08/34.31 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB83) | (~v112(constB83)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB83) | (~v112(constB83)))),
% 54.08/34.31 inference(rewrite,[status(thm)],[])).
% 54.08/34.31 tff(15900,plain,
% 54.08/34.31 (((~v112(constB83)) | v108(constB83)) <=> (v108(constB83) | (~v112(constB83)))),
% 54.08/34.31 inference(rewrite,[status(thm)],[])).
% 54.08/34.31 tff(15901,plain,
% 54.08/34.31 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB83)) | v108(constB83))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB83) | (~v112(constB83))))),
% 54.08/34.31 inference(monotonicity,[status(thm)],[15900])).
% 54.08/34.31 tff(15902,plain,
% 54.08/34.31 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB83)) | v108(constB83))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB83) | (~v112(constB83)))),
% 54.08/34.31 inference(transitivity,[status(thm)],[15901, 15899])).
% 54.08/34.31 tff(15903,plain,
% 54.08/34.31 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB83)) | v108(constB83))),
% 54.08/34.31 inference(quant_inst,[status(thm)],[])).
% 54.08/34.31 tff(15904,plain,
% 54.08/34.31 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB83) | (~v112(constB83))),
% 54.08/34.31 inference(modus_ponens,[status(thm)],[15903, 15902])).
% 54.08/34.31 tff(15905,plain,
% 54.08/34.31 (v108(constB83)),
% 54.08/34.31 inference(unit_resolution,[status(thm)],[15904, 1075, 15898])).
% 54.08/34.31 tff(15906,plain,
% 54.08/34.31 (nextState(constB83, constB84) <=> nextState(constB83, constB84)),
% 54.08/34.31 inference(rewrite,[status(thm)],[])).
% 54.08/34.31 tff(15907,axiom,(nextState(constB83, constB84)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_83_1')).
% 54.08/34.31 tff(15908,plain,
% 54.08/34.31 (nextState(constB83, constB84)),
% 54.08/34.31 inference(modus_ponens,[status(thm)],[15907, 15906])).
% 54.08/34.31 tff(15909,plain,
% 54.08/34.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83)))),
% 54.08/34.31 inference(rewrite,[status(thm)],[])).
% 54.08/34.31 tff(15910,plain,
% 54.08/34.31 (((~nextState(constB83, constB84)) | (~v108(constB83)) | v110(constB84)) <=> ((~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83)))),
% 54.08/34.31 inference(rewrite,[status(thm)],[])).
% 54.08/34.31 tff(15911,plain,
% 54.08/34.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB83, constB84)) | (~v108(constB83)) | v110(constB84))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83))))),
% 54.08/34.31 inference(monotonicity,[status(thm)],[15910])).
% 54.08/34.31 tff(15912,plain,
% 54.08/34.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB83, constB84)) | (~v108(constB83)) | v110(constB84))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83)))),
% 54.08/34.31 inference(transitivity,[status(thm)],[15911, 15909])).
% 54.08/34.31 tff(15913,plain,
% 54.08/34.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB83, constB84)) | (~v108(constB83)) | v110(constB84))),
% 54.08/34.31 inference(quant_inst,[status(thm)],[])).
% 54.08/34.31 tff(15914,plain,
% 54.08/34.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB83, constB84)) | v110(constB84) | (~v108(constB83))),
% 54.08/34.31 inference(modus_ponens,[status(thm)],[15913, 15912])).
% 54.08/34.31 tff(15915,plain,
% 54.08/34.31 (v110(constB84) | (~v108(constB83))),
% 54.08/34.31 inference(unit_resolution,[status(thm)],[15914, 1095, 15908])).
% 54.08/34.31 tff(15916,plain,
% 54.08/34.31 (v110(constB84)),
% 54.08/34.31 inference(unit_resolution,[status(thm)],[15915, 15905])).
% 54.08/34.31 tff(15917,plain,
% 54.08/34.31 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB83) | (~nextState(constB83, constB84)) | (~v104(constB84)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB83) | (~nextState(constB83, constB84)) | (~v104(constB84)))),
% 54.08/34.31 inference(rewrite,[status(thm)],[])).
% 54.08/34.31 tff(15918,plain,
% 54.08/34.31 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB83) | (~nextState(constB83, constB84)) | (~v104(constB84)))),
% 54.08/34.31 inference(quant_inst,[status(thm)],[])).
% 54.08/34.31 tff(15919,plain,
% 54.08/34.31 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB83) | (~nextState(constB83, constB84)) | (~v104(constB84))),
% 54.08/34.31 inference(modus_ponens,[status(thm)],[15918, 15917])).
% 54.08/34.31 tff(15920,plain,
% 54.08/34.31 (~v104(constB84)),
% 54.08/34.31 inference(unit_resolution,[status(thm)],[15919, 1113, 15908, 15782])).
% 54.08/34.31 tff(15921,plain,
% 54.08/34.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB83, constB84)) | v102(constB84) | v104(constB84))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB83, constB84)) | v102(constB84) | v104(constB84))),
% 54.08/34.32 inference(rewrite,[status(thm)],[])).
% 54.08/34.32 tff(15922,plain,
% 54.08/34.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB83, constB84)) | v102(constB84) | v104(constB84))),
% 54.08/34.32 inference(quant_inst,[status(thm)],[])).
% 54.08/34.32 tff(15923,plain,
% 54.08/34.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB83, constB84)) | v102(constB84) | v104(constB84)),
% 54.08/34.32 inference(modus_ponens,[status(thm)],[15922, 15921])).
% 54.08/34.32 tff(15924,plain,
% 54.08/34.32 (v102(constB84) | v104(constB84)),
% 54.08/34.32 inference(unit_resolution,[status(thm)],[15923, 1127, 15908])).
% 54.08/34.32 tff(15925,plain,
% 54.08/34.32 (v102(constB84)),
% 54.08/34.32 inference(unit_resolution,[status(thm)],[15924, 15920])).
% 54.08/34.32 tff(15926,plain,
% 54.08/34.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB83, constB84)) | v101(constB84) | (~v102(constB84)) | (~v1(constB84)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB83, constB84)) | v101(constB84) | (~v102(constB84)) | (~v1(constB84)))),
% 54.08/34.32 inference(rewrite,[status(thm)],[])).
% 54.08/34.32 tff(15927,plain,
% 54.08/34.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB83, constB84)) | v101(constB84) | (~v102(constB84)) | (~v1(constB84)))),
% 54.08/34.32 inference(quant_inst,[status(thm)],[])).
% 54.08/34.32 tff(15928,plain,
% 54.08/34.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB83, constB84)) | v101(constB84) | (~v102(constB84)) | (~v1(constB84))),
% 54.08/34.32 inference(modus_ponens,[status(thm)],[15927, 15926])).
% 54.08/34.32 tff(15929,plain,
% 54.08/34.32 (v101(constB84) | (~v102(constB84))),
% 54.08/34.32 inference(unit_resolution,[status(thm)],[15928, 1145, 15908, 431])).
% 54.08/34.32 tff(15930,plain,
% 54.08/34.32 (v101(constB84)),
% 54.08/34.32 inference(unit_resolution,[status(thm)],[15929, 15925])).
% 54.08/34.32 tff(15931,plain,
% 54.08/34.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84)))),
% 54.08/34.32 inference(rewrite,[status(thm)],[])).
% 54.08/34.32 tff(15932,plain,
% 54.08/34.32 (((~nextState(constB83, constB84)) | (~v101(constB84)) | (~v110(constB84)) | v100(constB84)) <=> ((~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84)))),
% 54.08/34.32 inference(rewrite,[status(thm)],[])).
% 54.08/34.32 tff(15933,plain,
% 54.08/34.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB83, constB84)) | (~v101(constB84)) | (~v110(constB84)) | v100(constB84))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84))))),
% 54.08/34.32 inference(monotonicity,[status(thm)],[15932])).
% 54.08/34.32 tff(15934,plain,
% 54.08/34.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB83, constB84)) | (~v101(constB84)) | (~v110(constB84)) | v100(constB84))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84)))),
% 54.08/34.32 inference(transitivity,[status(thm)],[15933, 15931])).
% 54.08/34.32 tff(15935,plain,
% 54.08/34.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB83, constB84)) | (~v101(constB84)) | (~v110(constB84)) | v100(constB84))),
% 54.08/34.32 inference(quant_inst,[status(thm)],[])).
% 54.08/34.32 tff(15936,plain,
% 54.08/34.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB83, constB84)) | v100(constB84) | (~v101(constB84)) | (~v110(constB84))),
% 54.08/34.32 inference(modus_ponens,[status(thm)],[15935, 15934])).
% 54.08/34.32 tff(15937,plain,
% 54.08/34.32 (v100(constB84) | (~v101(constB84)) | (~v110(constB84))),
% 54.08/34.32 inference(unit_resolution,[status(thm)],[15936, 1160, 15908])).
% 54.08/34.32 tff(15938,plain,
% 54.08/34.32 (v100(constB84) | (~v110(constB84))),
% 54.08/34.32 inference(unit_resolution,[status(thm)],[15937, 15930])).
% 54.08/34.32 tff(15939,plain,
% 54.08/34.32 (v100(constB84)),
% 54.08/34.32 inference(unit_resolution,[status(thm)],[15938, 15916])).
% 54.08/34.32 tff(15940,plain,
% 54.08/34.32 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB83)) | (~v130(constB83, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB83)) | (~v130(constB83, 0)))),
% 54.08/34.32 inference(rewrite,[status(thm)],[])).
% 54.08/34.32 tff(15941,plain,
% 54.08/34.32 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB83)) | (~v130(constB83, 0)))),
% 54.08/34.32 inference(quant_inst,[status(thm)],[])).
% 54.08/34.32 tff(15942,plain,
% 54.08/34.32 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB83)) | (~v130(constB83, 0))),
% 54.08/34.32 inference(modus_ponens,[status(thm)],[15941, 15940])).
% 54.08/34.32 tff(15943,plain,
% 54.08/34.32 (~v130(constB83, 0)),
% 54.08/34.32 inference(unit_resolution,[status(thm)],[15942, 3274, 15875])).
% 54.08/34.32 tff(15944,assumption,(v127(constB83, 0)), introduced(assumption)).
% 54.08/34.32 tff(15945,assumption,(~v130(constB83, 0)), introduced(assumption)).
% 54.08/34.32 tff(15946,plain,
% 54.08/34.32 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB83, 0)) | v26(constB83) | v130(constB83, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB83, 0)) | v26(constB83) | v130(constB83, 0))),
% 54.08/34.32 inference(rewrite,[status(thm)],[])).
% 54.08/34.32 tff(15947,plain,
% 54.08/34.32 ((v26(constB83) | v130(constB83, 0) | (~v127(constB83, 0))) <=> ((~v127(constB83, 0)) | v26(constB83) | v130(constB83, 0))),
% 54.08/34.32 inference(rewrite,[status(thm)],[])).
% 54.08/34.32 tff(15948,plain,
% 54.08/34.32 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB83) | v130(constB83, 0) | (~v127(constB83, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB83, 0)) | v26(constB83) | v130(constB83, 0)))),
% 54.08/34.32 inference(monotonicity,[status(thm)],[15947])).
% 54.08/34.32 tff(15949,plain,
% 54.08/34.32 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB83) | v130(constB83, 0) | (~v127(constB83, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB83, 0)) | v26(constB83) | v130(constB83, 0))),
% 54.08/34.32 inference(transitivity,[status(thm)],[15948, 15946])).
% 54.08/34.32 tff(15950,plain,
% 54.08/34.32 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB83) | v130(constB83, 0) | (~v127(constB83, 0)))),
% 54.08/34.32 inference(quant_inst,[status(thm)],[])).
% 54.08/34.32 tff(15951,plain,
% 54.08/34.32 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB83, 0)) | v26(constB83) | v130(constB83, 0)),
% 54.08/34.32 inference(modus_ponens,[status(thm)],[15950, 15949])).
% 54.08/34.32 tff(15952,plain,
% 54.08/34.32 ((~v127(constB83, 0)) | v26(constB83)),
% 54.08/34.32 inference(unit_resolution,[status(thm)],[15951, 1671, 15945])).
% 54.08/34.32 tff(15953,plain,
% 54.08/34.32 (v26(constB83)),
% 54.08/34.32 inference(unit_resolution,[status(thm)],[15952, 15944])).
% 54.08/34.32 tff(15954,plain,
% 54.08/34.32 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | ((~v26(constB83)) | (~v127(constB83, 0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | (~v26(constB83)) | (~v127(constB83, 0)))),
% 54.08/34.32 inference(rewrite,[status(thm)],[])).
% 54.08/34.32 tff(15955,plain,
% 54.08/34.32 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | ((~v26(constB83)) | (~v127(constB83, 0)))),
% 54.08/34.32 inference(quant_inst,[status(thm)],[])).
% 54.08/34.32 tff(15956,plain,
% 54.08/34.32 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | (~v26(constB83)) | (~v127(constB83, 0))),
% 54.08/34.32 inference(modus_ponens,[status(thm)],[15955, 15954])).
% 54.08/34.32 tff(15957,plain,
% 54.08/34.32 ($false),
% 54.08/34.32 inference(unit_resolution,[status(thm)],[15956, 2241, 15944, 15953])).
% 54.08/34.32 tff(15958,plain,((~v127(constB83, 0)) | v130(constB83, 0)), inference(lemma,lemma(discharge,[]))).
% 54.08/34.32 tff(15959,plain,
% 54.08/34.32 (~v127(constB83, 0)),
% 54.08/34.32 inference(unit_resolution,[status(thm)],[15958, 15943])).
% 54.08/34.32 tff(15960,plain,
% 54.08/34.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB83, constB84)) | v127(constB83, 0) | (~v129(constB84, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB83, constB84)) | v127(constB83, 0) | (~v129(constB84, 0)))),
% 54.08/34.32 inference(rewrite,[status(thm)],[])).
% 54.08/34.32 tff(15961,plain,
% 54.08/34.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB83, constB84)) | v127(constB83, 0) | (~v129(constB84, 0)))),
% 54.08/34.32 inference(quant_inst,[status(thm)],[])).
% 54.08/34.32 tff(15962,plain,
% 54.08/34.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB83, constB84)) | v127(constB83, 0) | (~v129(constB84, 0))),
% 54.08/34.32 inference(modus_ponens,[status(thm)],[15961, 15960])).
% 54.08/34.32 tff(15963,plain,
% 54.08/34.32 (v127(constB83, 0) | (~v129(constB84, 0))),
% 54.08/34.32 inference(unit_resolution,[status(thm)],[15962, 1689, 15908])).
% 54.08/34.32 tff(15964,plain,
% 54.08/34.32 (~v129(constB84, 0)),
% 54.08/34.32 inference(unit_resolution,[status(thm)],[15963, 15959])).
% 54.08/34.32 tff(15965,plain,
% 54.08/34.32 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB84, 0)) | v129(constB84, 0) | (~v100(constB84)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB84, 0)) | v129(constB84, 0) | (~v100(constB84)))),
% 54.08/34.32 inference(rewrite,[status(thm)],[])).
% 54.08/34.32 tff(15966,plain,
% 54.08/34.32 (((~v90(constB84, 0)) | (~v100(constB84)) | v129(constB84, 0)) <=> ((~v90(constB84, 0)) | v129(constB84, 0) | (~v100(constB84)))),
% 54.08/34.32 inference(rewrite,[status(thm)],[])).
% 54.08/34.32 tff(15967,plain,
% 54.08/34.32 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB84, 0)) | (~v100(constB84)) | v129(constB84, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB84, 0)) | v129(constB84, 0) | (~v100(constB84))))),
% 54.08/34.32 inference(monotonicity,[status(thm)],[15966])).
% 54.08/34.32 tff(15968,plain,
% 54.08/34.32 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB84, 0)) | (~v100(constB84)) | v129(constB84, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB84, 0)) | v129(constB84, 0) | (~v100(constB84)))),
% 54.08/34.32 inference(transitivity,[status(thm)],[15967, 15965])).
% 54.08/34.32 tff(15969,plain,
% 54.08/34.32 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB84, 0)) | (~v100(constB84)) | v129(constB84, 0))),
% 54.08/34.32 inference(quant_inst,[status(thm)],[])).
% 54.08/34.32 tff(15970,plain,
% 54.08/34.32 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB84, 0)) | v129(constB84, 0) | (~v100(constB84))),
% 54.08/34.32 inference(modus_ponens,[status(thm)],[15969, 15968])).
% 54.08/34.32 tff(15971,plain,
% 54.08/34.32 ((~v90(constB84, 0)) | (~v100(constB84))),
% 54.08/34.32 inference(unit_resolution,[status(thm)],[15970, 1704, 15964])).
% 54.08/34.32 tff(15972,plain,
% 54.08/34.32 (~v90(constB84, 0)),
% 54.08/34.32 inference(unit_resolution,[status(thm)],[15971, 15939])).
% 54.08/34.32 tff(15973,plain,
% 54.08/34.32 ((~v1(constB85)) <=> (~v1(constB85))),
% 54.08/34.32 inference(rewrite,[status(thm)],[])).
% 54.08/34.32 tff(15974,axiom,(~v1(constB85)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_85_1_1')).
% 54.08/34.32 tff(15975,plain,
% 54.08/34.32 (~v1(constB85)),
% 54.08/34.32 inference(modus_ponens,[status(thm)],[15974, 15973])).
% 54.08/34.32 tff(15976,plain,
% 54.08/34.32 (nextState(constB84, constB85) <=> nextState(constB84, constB85)),
% 54.08/34.32 inference(rewrite,[status(thm)],[])).
% 54.08/34.32 tff(15977,axiom,(nextState(constB84, constB85)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_84_1')).
% 54.08/34.32 tff(15978,plain,
% 54.08/34.32 (nextState(constB84, constB85)),
% 54.08/34.32 inference(modus_ponens,[status(thm)],[15977, 15976])).
% 54.08/34.32 tff(15979,plain,
% 54.08/34.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85)))),
% 54.08/34.32 inference(rewrite,[status(thm)],[])).
% 54.08/34.32 tff(15980,plain,
% 54.08/34.32 (((~nextState(constB84, constB85)) | (~v101(constB85)) | v1(constB85)) <=> (v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85)))),
% 54.08/34.32 inference(rewrite,[status(thm)],[])).
% 54.08/34.32 tff(15981,plain,
% 54.08/34.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB84, constB85)) | (~v101(constB85)) | v1(constB85))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85))))),
% 54.08/34.32 inference(monotonicity,[status(thm)],[15980])).
% 54.08/34.32 tff(15982,plain,
% 54.08/34.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB84, constB85)) | (~v101(constB85)) | v1(constB85))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85)))),
% 54.08/34.32 inference(transitivity,[status(thm)],[15981, 15979])).
% 54.08/34.32 tff(15983,plain,
% 54.08/34.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB84, constB85)) | (~v101(constB85)) | v1(constB85))),
% 54.08/34.32 inference(quant_inst,[status(thm)],[])).
% 54.08/34.32 tff(15984,plain,
% 54.08/34.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB85) | (~nextState(constB84, constB85)) | (~v101(constB85))),
% 54.08/34.32 inference(modus_ponens,[status(thm)],[15983, 15982])).
% 54.08/34.32 tff(15985,plain,
% 54.08/34.32 (~v101(constB85)),
% 54.08/34.32 inference(unit_resolution,[status(thm)],[15984, 873, 15978, 15975])).
% 54.08/34.32 tff(15986,plain,
% 54.08/34.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB84, constB85)) | v101(constB85) | (~v100(constB85)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB84, constB85)) | v101(constB85) | (~v100(constB85)))),
% 54.08/34.32 inference(rewrite,[status(thm)],[])).
% 54.08/34.32 tff(15987,plain,
% 54.08/34.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB84, constB85)) | v101(constB85) | (~v100(constB85)))),
% 54.08/34.32 inference(quant_inst,[status(thm)],[])).
% 54.08/34.32 tff(15988,plain,
% 54.08/34.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB84, constB85)) | v101(constB85) | (~v100(constB85))),
% 54.08/34.32 inference(modus_ponens,[status(thm)],[15987, 15986])).
% 54.08/34.32 tff(15989,plain,
% 54.08/34.32 (v101(constB85) | (~v100(constB85))),
% 54.08/34.32 inference(unit_resolution,[status(thm)],[15988, 890, 15978])).
% 54.08/34.32 tff(15990,plain,
% 54.08/34.32 (~v100(constB85)),
% 54.08/34.32 inference(unit_resolution,[status(thm)],[15989, 15985])).
% 54.08/34.32 tff(15991,plain,
% 54.08/34.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB84, 0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB84, 0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, 0)))),
% 54.08/34.32 inference(rewrite,[status(thm)],[])).
% 54.08/34.32 tff(15992,plain,
% 54.08/34.32 (((~nextState(constB84, constB85)) | v90(constB84, 0) | v100(constB85) | (~v90(constB85, 0))) <=> (v90(constB84, 0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, 0)))),
% 54.08/34.32 inference(rewrite,[status(thm)],[])).
% 54.08/34.32 tff(15993,plain,
% 54.08/34.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB84, constB85)) | v90(constB84, 0) | v100(constB85) | (~v90(constB85, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB84, 0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, 0))))),
% 54.08/34.32 inference(monotonicity,[status(thm)],[15992])).
% 54.08/34.32 tff(15994,plain,
% 54.08/34.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB84, constB85)) | v90(constB84, 0) | v100(constB85) | (~v90(constB85, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB84, 0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, 0)))),
% 54.08/34.32 inference(transitivity,[status(thm)],[15993, 15991])).
% 54.08/34.32 tff(15995,plain,
% 54.08/34.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB84, constB85)) | v90(constB84, 0) | v100(constB85) | (~v90(constB85, 0)))),
% 54.08/34.32 inference(quant_inst,[status(thm)],[])).
% 54.08/34.32 tff(15996,plain,
% 54.08/34.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB84, 0) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, 0))),
% 54.08/34.32 inference(modus_ponens,[status(thm)],[15995, 15994])).
% 54.08/34.32 tff(15997,plain,
% 54.08/34.32 (v90(constB84, 0) | v100(constB85) | (~v90(constB85, 0))),
% 54.08/34.32 inference(unit_resolution,[status(thm)],[15996, 947, 15978])).
% 54.08/34.32 tff(15998,plain,
% 54.08/34.32 (v90(constB84, 0) | (~v90(constB85, 0))),
% 54.08/34.32 inference(unit_resolution,[status(thm)],[15997, 15990])).
% 54.08/34.32 tff(15999,plain,
% 54.08/34.32 (~v90(constB85, 0)),
% 54.08/34.32 inference(unit_resolution,[status(thm)],[15998, 15972])).
% 54.08/34.32 tff(16000,plain,
% 54.08/34.32 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB83)) | v130(constB83, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB83)) | v130(constB83, 1))),
% 54.08/34.32 inference(rewrite,[status(thm)],[])).
% 54.08/34.32 tff(16001,plain,
% 54.08/34.32 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB83)) | v130(constB83, 1))),
% 54.08/34.32 inference(quant_inst,[status(thm)],[])).
% 54.08/34.32 tff(16002,plain,
% 54.08/34.32 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB83)) | v130(constB83, 1)),
% 54.08/34.32 inference(modus_ponens,[status(thm)],[16001, 16000])).
% 54.08/34.32 tff(16003,plain,
% 54.08/34.32 (v130(constB83, 1)),
% 54.08/34.32 inference(unit_resolution,[status(thm)],[16002, 2808, 15875])).
% 54.08/34.32 tff(16004,assumption,(v26(constB87)), introduced(assumption)).
% 54.08/34.32 tff(16005,plain,
% 54.08/34.32 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB87))),
% 54.08/34.32 inference(quant_inst,[status(thm)],[])).
% 54.08/34.32 tff(16006,plain,
% 54.08/34.32 ($false),
% 54.08/34.32 inference(unit_resolution,[status(thm)],[16005, 828, 16004])).
% 54.08/34.32 tff(16007,plain,(~v26(constB87)), inference(lemma,lemma(discharge,[]))).
% 54.08/34.32 tff(16008,plain,
% 54.08/34.32 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB83)) | v130(constB83, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB83)) | v130(constB83, 2))),
% 54.08/34.32 inference(rewrite,[status(thm)],[])).
% 54.08/34.32 tff(16009,plain,
% 54.08/34.32 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB83)) | v130(constB83, 2))),
% 54.08/34.32 inference(quant_inst,[status(thm)],[])).
% 54.08/34.32 tff(16010,plain,
% 54.08/34.32 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB83)) | v130(constB83, 2)),
% 54.08/34.32 inference(modus_ponens,[status(thm)],[16009, 16008])).
% 54.08/34.32 tff(16011,plain,
% 54.08/34.32 (v130(constB83, 2)),
% 54.08/34.32 inference(unit_resolution,[status(thm)],[16010, 2741, 15875])).
% 54.08/34.32 tff(16012,plain,
% 54.08/34.32 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB83) | (~v130(constB83, 2)) | v127(constB83, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB83) | (~v130(constB83, 2)) | v127(constB83, 2))),
% 54.08/34.32 inference(rewrite,[status(thm)],[])).
% 54.08/34.32 tff(16013,plain,
% 54.08/34.32 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB83) | (~v130(constB83, 2)) | v127(constB83, 2))),
% 54.08/34.32 inference(quant_inst,[status(thm)],[])).
% 54.08/34.32 tff(16014,plain,
% 54.08/34.32 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB83) | (~v130(constB83, 2)) | v127(constB83, 2)),
% 54.08/34.32 inference(modus_ponens,[status(thm)],[16013, 16012])).
% 54.08/34.32 tff(16015,plain,
% 54.08/34.32 ((~v130(constB83, 2)) | v127(constB83, 2)),
% 54.08/34.32 inference(unit_resolution,[status(thm)],[16014, 1981, 15890])).
% 54.08/34.32 tff(16016,plain,
% 54.08/34.32 (v127(constB83, 2)),
% 54.08/34.32 inference(unit_resolution,[status(thm)],[16015, 16011])).
% 54.08/34.32 tff(16017,plain,
% 54.08/34.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB83, constB84)) | (~v127(constB83, 2)) | v129(constB84, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB83, constB84)) | (~v127(constB83, 2)) | v129(constB84, 2))),
% 54.08/34.32 inference(rewrite,[status(thm)],[])).
% 54.08/34.32 tff(16018,plain,
% 54.08/34.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB83, constB84)) | (~v127(constB83, 2)) | v129(constB84, 2))),
% 54.08/34.32 inference(quant_inst,[status(thm)],[])).
% 54.08/34.32 tff(16019,plain,
% 54.08/34.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB83, constB84)) | (~v127(constB83, 2)) | v129(constB84, 2)),
% 54.08/34.32 inference(modus_ponens,[status(thm)],[16018, 16017])).
% 54.08/34.32 tff(16020,plain,
% 54.08/34.32 ((~v127(constB83, 2)) | v129(constB84, 2)),
% 54.08/34.32 inference(unit_resolution,[status(thm)],[16019, 1999, 15908])).
% 54.08/34.32 tff(16021,plain,
% 54.08/34.32 (v129(constB84, 2)),
% 54.08/34.32 inference(unit_resolution,[status(thm)],[16020, 16016])).
% 54.08/34.32 tff(16022,plain,
% 54.08/34.32 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB84, 2) | (~v129(constB84, 2)) | (~v100(constB84)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB84, 2) | (~v129(constB84, 2)) | (~v100(constB84)))),
% 54.08/34.32 inference(rewrite,[status(thm)],[])).
% 54.08/34.32 tff(16023,plain,
% 54.08/34.32 ((v90(constB84, 2) | (~v100(constB84)) | (~v129(constB84, 2))) <=> (v90(constB84, 2) | (~v129(constB84, 2)) | (~v100(constB84)))),
% 54.08/34.32 inference(rewrite,[status(thm)],[])).
% 54.08/34.32 tff(16024,plain,
% 54.08/34.32 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB84, 2) | (~v100(constB84)) | (~v129(constB84, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB84, 2) | (~v129(constB84, 2)) | (~v100(constB84))))),
% 54.08/34.32 inference(monotonicity,[status(thm)],[16023])).
% 54.08/34.32 tff(16025,plain,
% 54.08/34.32 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB84, 2) | (~v100(constB84)) | (~v129(constB84, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB84, 2) | (~v129(constB84, 2)) | (~v100(constB84)))),
% 54.08/34.32 inference(transitivity,[status(thm)],[16024, 16022])).
% 54.08/34.32 tff(16026,plain,
% 54.08/34.32 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB84, 2) | (~v100(constB84)) | (~v129(constB84, 2)))),
% 54.08/34.32 inference(quant_inst,[status(thm)],[])).
% 54.08/34.32 tff(16027,plain,
% 54.08/34.32 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB84, 2) | (~v129(constB84, 2)) | (~v100(constB84))),
% 54.08/34.32 inference(modus_ponens,[status(thm)],[16026, 16025])).
% 54.08/34.32 tff(16028,plain,
% 54.08/34.32 (v90(constB84, 2) | (~v100(constB84))),
% 54.08/34.32 inference(unit_resolution,[status(thm)],[16027, 2324, 16021])).
% 54.08/34.32 tff(16029,plain,
% 54.08/34.32 (v90(constB84, 2)),
% 54.08/34.32 inference(unit_resolution,[status(thm)],[16028, 15939])).
% 54.08/34.32 tff(16030,plain,
% 54.08/34.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB84, 2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB84, 2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, 2))),
% 54.08/34.32 inference(rewrite,[status(thm)],[])).
% 54.08/34.32 tff(16031,plain,
% 54.08/34.32 (((~nextState(constB84, constB85)) | (~v90(constB84, 2)) | v100(constB85) | v90(constB85, 2)) <=> ((~v90(constB84, 2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, 2))),
% 54.08/34.32 inference(rewrite,[status(thm)],[])).
% 54.08/34.32 tff(16032,plain,
% 54.08/34.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB84, constB85)) | (~v90(constB84, 2)) | v100(constB85) | v90(constB85, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB84, 2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, 2)))),
% 54.08/34.32 inference(monotonicity,[status(thm)],[16031])).
% 54.08/34.32 tff(16033,plain,
% 54.08/34.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB84, constB85)) | (~v90(constB84, 2)) | v100(constB85) | v90(constB85, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB84, 2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, 2))),
% 54.08/34.32 inference(transitivity,[status(thm)],[16032, 16030])).
% 54.08/34.32 tff(16034,plain,
% 54.08/34.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB84, constB85)) | (~v90(constB84, 2)) | v100(constB85) | v90(constB85, 2))),
% 54.08/34.32 inference(quant_inst,[status(thm)],[])).
% 54.08/34.32 tff(16035,plain,
% 54.08/34.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB84, 2)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, 2)),
% 54.08/34.32 inference(modus_ponens,[status(thm)],[16034, 16033])).
% 54.08/34.32 tff(16036,plain,
% 54.08/34.32 ((~v90(constB84, 2)) | v100(constB85) | v90(constB85, 2)),
% 54.08/34.32 inference(unit_resolution,[status(thm)],[16035, 2174, 15978])).
% 54.08/34.32 tff(16037,plain,
% 54.08/34.32 ((~v90(constB84, 2)) | v90(constB85, 2)),
% 54.08/34.32 inference(unit_resolution,[status(thm)],[16036, 15990])).
% 54.08/34.32 tff(16038,plain,
% 54.08/34.32 (v90(constB85, 2)),
% 54.08/34.32 inference(unit_resolution,[status(thm)],[16037, 16029])).
% 54.08/34.32 tff(16039,plain,
% 54.08/34.32 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB83) | (~v130(constB83, 1)) | v127(constB83, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB83) | (~v130(constB83, 1)) | v127(constB83, 1))),
% 54.08/34.32 inference(rewrite,[status(thm)],[])).
% 54.08/34.32 tff(16040,plain,
% 54.08/34.32 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB83) | (~v130(constB83, 1)) | v127(constB83, 1))),
% 54.08/34.32 inference(quant_inst,[status(thm)],[])).
% 54.08/34.32 tff(16041,plain,
% 54.08/34.32 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB83) | (~v130(constB83, 1)) | v127(constB83, 1)),
% 54.08/34.32 inference(modus_ponens,[status(thm)],[16040, 16039])).
% 54.08/34.32 tff(16042,plain,
% 54.08/34.32 ((~v130(constB83, 1)) | v127(constB83, 1)),
% 54.08/34.32 inference(unit_resolution,[status(thm)],[16041, 1593, 15890])).
% 54.08/34.32 tff(16043,plain,
% 54.08/34.32 (v127(constB83, 1)),
% 54.08/34.32 inference(unit_resolution,[status(thm)],[16042, 16003])).
% 54.08/34.32 tff(16044,plain,
% 54.08/34.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB83, constB84)) | (~v127(constB83, 1)) | v129(constB84, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB83, constB84)) | (~v127(constB83, 1)) | v129(constB84, 1))),
% 54.08/34.32 inference(rewrite,[status(thm)],[])).
% 54.08/34.32 tff(16045,plain,
% 54.08/34.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB83, constB84)) | (~v127(constB83, 1)) | v129(constB84, 1))),
% 54.08/34.32 inference(quant_inst,[status(thm)],[])).
% 54.08/34.32 tff(16046,plain,
% 54.08/34.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB83, constB84)) | (~v127(constB83, 1)) | v129(constB84, 1)),
% 54.08/34.32 inference(modus_ponens,[status(thm)],[16045, 16044])).
% 54.08/34.32 tff(16047,plain,
% 54.08/34.32 ((~v127(constB83, 1)) | v129(constB84, 1)),
% 54.08/34.32 inference(unit_resolution,[status(thm)],[16046, 1608, 15908])).
% 54.08/34.32 tff(16048,plain,
% 54.08/34.32 (v129(constB84, 1)),
% 54.08/34.32 inference(unit_resolution,[status(thm)],[16047, 16043])).
% 54.08/34.32 tff(16049,plain,
% 54.08/34.32 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB84, 1) | (~v129(constB84, 1)) | (~v100(constB84)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB84, 1) | (~v129(constB84, 1)) | (~v100(constB84)))),
% 54.08/34.32 inference(rewrite,[status(thm)],[])).
% 54.08/34.32 tff(16050,plain,
% 54.08/34.32 ((v90(constB84, 1) | (~v100(constB84)) | (~v129(constB84, 1))) <=> (v90(constB84, 1) | (~v129(constB84, 1)) | (~v100(constB84)))),
% 54.08/34.32 inference(rewrite,[status(thm)],[])).
% 54.08/34.32 tff(16051,plain,
% 54.08/34.32 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB84, 1) | (~v100(constB84)) | (~v129(constB84, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB84, 1) | (~v129(constB84, 1)) | (~v100(constB84))))),
% 54.08/34.32 inference(monotonicity,[status(thm)],[16050])).
% 54.08/34.32 tff(16052,plain,
% 54.08/34.32 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB84, 1) | (~v100(constB84)) | (~v129(constB84, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB84, 1) | (~v129(constB84, 1)) | (~v100(constB84)))),
% 54.08/34.32 inference(transitivity,[status(thm)],[16051, 16049])).
% 54.08/34.32 tff(16053,plain,
% 54.08/34.32 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB84, 1) | (~v100(constB84)) | (~v129(constB84, 1)))),
% 54.08/34.32 inference(quant_inst,[status(thm)],[])).
% 54.08/34.32 tff(16054,plain,
% 54.08/34.32 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB84, 1) | (~v129(constB84, 1)) | (~v100(constB84))),
% 54.08/34.32 inference(modus_ponens,[status(thm)],[16053, 16052])).
% 54.08/34.32 tff(16055,plain,
% 54.08/34.32 (v90(constB84, 1) | (~v100(constB84))),
% 54.08/34.32 inference(unit_resolution,[status(thm)],[16054, 1623, 16048])).
% 54.08/34.32 tff(16056,plain,
% 54.08/34.32 (v90(constB84, 1)),
% 54.08/34.32 inference(unit_resolution,[status(thm)],[16055, 15939])).
% 54.08/34.32 tff(16057,plain,
% 54.08/34.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB84, 1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB84, 1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, 1))),
% 54.08/34.32 inference(rewrite,[status(thm)],[])).
% 54.08/34.32 tff(16058,plain,
% 54.08/34.32 (((~nextState(constB84, constB85)) | (~v90(constB84, 1)) | v100(constB85) | v90(constB85, 1)) <=> ((~v90(constB84, 1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, 1))),
% 54.08/34.32 inference(rewrite,[status(thm)],[])).
% 54.08/34.32 tff(16059,plain,
% 54.08/34.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB84, constB85)) | (~v90(constB84, 1)) | v100(constB85) | v90(constB85, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB84, 1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, 1)))),
% 54.08/34.32 inference(monotonicity,[status(thm)],[16058])).
% 54.08/34.32 tff(16060,plain,
% 54.08/34.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB84, constB85)) | (~v90(constB84, 1)) | v100(constB85) | v90(constB85, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB84, 1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, 1))),
% 54.08/34.32 inference(transitivity,[status(thm)],[16059, 16057])).
% 54.08/34.32 tff(16061,plain,
% 54.08/34.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB84, constB85)) | (~v90(constB84, 1)) | v100(constB85) | v90(constB85, 1))),
% 54.08/34.32 inference(quant_inst,[status(thm)],[])).
% 54.08/34.32 tff(16062,plain,
% 54.08/34.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB84, 1)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, 1)),
% 54.08/34.32 inference(modus_ponens,[status(thm)],[16061, 16060])).
% 54.08/34.32 tff(16063,plain,
% 54.08/34.32 ((~v90(constB84, 1)) | v100(constB85) | v90(constB85, 1)),
% 54.08/34.32 inference(unit_resolution,[status(thm)],[16062, 1641, 15978])).
% 54.08/34.32 tff(16064,plain,
% 54.08/34.32 ((~v90(constB84, 1)) | v90(constB85, 1)),
% 54.08/34.32 inference(unit_resolution,[status(thm)],[16063, 15990])).
% 54.08/34.32 tff(16065,plain,
% 54.08/34.32 (v90(constB85, 1)),
% 54.08/34.32 inference(unit_resolution,[status(thm)],[16064, 16056])).
% 54.08/34.32 tff(16066,plain,
% 54.08/34.32 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB85, 0) | (~v90(constB85, 1)) | (~v90(constB85, 2)) | v125(constB85))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB85, 0) | (~v90(constB85, 1)) | (~v90(constB85, 2)) | v125(constB85))),
% 54.08/34.32 inference(rewrite,[status(thm)],[])).
% 54.08/34.32 tff(16067,plain,
% 54.08/34.32 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB85, 0) | (~v90(constB85, 1)) | (~v90(constB85, 2)) | v125(constB85))),
% 54.08/34.32 inference(quant_inst,[status(thm)],[])).
% 54.08/34.32 tff(16068,plain,
% 54.08/34.32 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB85, 0) | (~v90(constB85, 1)) | (~v90(constB85, 2)) | v125(constB85)),
% 54.08/34.32 inference(modus_ponens,[status(thm)],[16067, 16066])).
% 54.08/34.32 tff(16069,plain,
% 54.08/34.32 (v125(constB85)),
% 54.08/34.32 inference(unit_resolution,[status(thm)],[16068, 2279, 15999, 16065, 16038])).
% 54.08/34.32 tff(16070,plain,
% 54.08/34.32 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB85) | (~v125(constB85)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB85) | (~v125(constB85)))),
% 54.08/34.32 inference(rewrite,[status(thm)],[])).
% 54.08/34.32 tff(16071,plain,
% 54.08/34.32 (((~v125(constB85)) | v113(constB85)) <=> (v113(constB85) | (~v125(constB85)))),
% 54.08/34.32 inference(rewrite,[status(thm)],[])).
% 54.08/34.32 tff(16072,plain,
% 54.08/34.32 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB85)) | v113(constB85))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB85) | (~v125(constB85))))),
% 54.08/34.32 inference(monotonicity,[status(thm)],[16071])).
% 54.08/34.32 tff(16073,plain,
% 54.08/34.32 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB85)) | v113(constB85))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB85) | (~v125(constB85)))),
% 54.08/34.32 inference(transitivity,[status(thm)],[16072, 16070])).
% 54.08/34.32 tff(16074,plain,
% 54.08/34.32 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB85)) | v113(constB85))),
% 54.08/34.32 inference(quant_inst,[status(thm)],[])).
% 54.08/34.32 tff(16075,plain,
% 54.08/34.32 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB85) | (~v125(constB85))),
% 54.08/34.32 inference(modus_ponens,[status(thm)],[16074, 16073])).
% 54.08/34.32 tff(16076,plain,
% 54.08/34.32 (v113(constB85)),
% 54.08/34.32 inference(unit_resolution,[status(thm)],[16075, 2262, 16069])).
% 54.08/34.32 tff(16077,assumption,(v26(constB85)), introduced(assumption)).
% 54.08/34.32 tff(16078,plain,
% 54.08/34.32 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB85))),
% 54.08/34.32 inference(quant_inst,[status(thm)],[])).
% 54.08/34.32 tff(16079,plain,
% 54.08/34.32 ($false),
% 54.08/34.32 inference(unit_resolution,[status(thm)],[16078, 828, 16077])).
% 54.08/34.32 tff(16080,plain,(~v26(constB85)), inference(lemma,lemma(discharge,[]))).
% 54.08/34.32 tff(16081,plain,
% 54.08/34.32 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB85) | v112(constB85) | (~v113(constB85)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB85) | v112(constB85) | (~v113(constB85)))),
% 54.08/34.32 inference(rewrite,[status(thm)],[])).
% 54.08/34.32 tff(16082,plain,
% 54.08/34.32 ((v26(constB85) | (~v113(constB85)) | v112(constB85)) <=> (v26(constB85) | v112(constB85) | (~v113(constB85)))),
% 54.08/34.32 inference(rewrite,[status(thm)],[])).
% 54.08/34.32 tff(16083,plain,
% 54.08/34.32 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB85) | (~v113(constB85)) | v112(constB85))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB85) | v112(constB85) | (~v113(constB85))))),
% 54.08/34.32 inference(monotonicity,[status(thm)],[16082])).
% 54.08/34.32 tff(16084,plain,
% 54.08/34.32 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB85) | (~v113(constB85)) | v112(constB85))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB85) | v112(constB85) | (~v113(constB85)))),
% 54.08/34.32 inference(transitivity,[status(thm)],[16083, 16081])).
% 54.08/34.32 tff(16085,plain,
% 54.08/34.32 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB85) | (~v113(constB85)) | v112(constB85))),
% 54.08/34.32 inference(quant_inst,[status(thm)],[])).
% 54.08/34.32 tff(16086,plain,
% 54.08/34.32 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB85) | v112(constB85) | (~v113(constB85))),
% 54.08/34.32 inference(modus_ponens,[status(thm)],[16085, 16084])).
% 54.08/34.32 tff(16087,plain,
% 54.08/34.32 (v112(constB85) | (~v113(constB85))),
% 54.08/34.32 inference(unit_resolution,[status(thm)],[16086, 1063, 16080])).
% 54.08/34.32 tff(16088,plain,
% 54.08/34.32 (v112(constB85)),
% 54.08/34.32 inference(unit_resolution,[status(thm)],[16087, 16076])).
% 54.08/34.32 tff(16089,plain,
% 54.08/34.32 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB85) | (~v112(constB85)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB85) | (~v112(constB85)))),
% 54.08/34.32 inference(rewrite,[status(thm)],[])).
% 54.08/34.32 tff(16090,plain,
% 54.08/34.32 (((~v112(constB85)) | v108(constB85)) <=> (v108(constB85) | (~v112(constB85)))),
% 54.08/34.32 inference(rewrite,[status(thm)],[])).
% 54.08/34.32 tff(16091,plain,
% 54.08/34.32 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB85)) | v108(constB85))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB85) | (~v112(constB85))))),
% 54.08/34.32 inference(monotonicity,[status(thm)],[16090])).
% 54.08/34.32 tff(16092,plain,
% 54.08/34.32 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB85)) | v108(constB85))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB85) | (~v112(constB85)))),
% 54.08/34.32 inference(transitivity,[status(thm)],[16091, 16089])).
% 54.08/34.32 tff(16093,plain,
% 54.08/34.32 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB85)) | v108(constB85))),
% 54.08/34.32 inference(quant_inst,[status(thm)],[])).
% 54.08/34.32 tff(16094,plain,
% 54.08/34.32 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB85) | (~v112(constB85))),
% 54.08/34.32 inference(modus_ponens,[status(thm)],[16093, 16092])).
% 54.08/34.32 tff(16095,plain,
% 54.08/34.32 (v108(constB85)),
% 54.08/34.32 inference(unit_resolution,[status(thm)],[16094, 1075, 16088])).
% 54.08/34.32 tff(16096,plain,
% 54.08/34.32 (nextState(constB85, constB86) <=> nextState(constB85, constB86)),
% 54.08/34.32 inference(rewrite,[status(thm)],[])).
% 54.08/34.32 tff(16097,axiom,(nextState(constB85, constB86)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_85_1')).
% 54.08/34.32 tff(16098,plain,
% 54.08/34.32 (nextState(constB85, constB86)),
% 54.08/34.32 inference(modus_ponens,[status(thm)],[16097, 16096])).
% 54.08/34.32 tff(16099,plain,
% 54.08/34.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85)))),
% 54.08/34.32 inference(rewrite,[status(thm)],[])).
% 54.08/34.32 tff(16100,plain,
% 54.08/34.32 (((~nextState(constB85, constB86)) | (~v108(constB85)) | v110(constB86)) <=> ((~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85)))),
% 54.08/34.32 inference(rewrite,[status(thm)],[])).
% 54.08/34.32 tff(16101,plain,
% 54.08/34.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB85, constB86)) | (~v108(constB85)) | v110(constB86))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85))))),
% 54.08/34.32 inference(monotonicity,[status(thm)],[16100])).
% 54.08/34.32 tff(16102,plain,
% 54.08/34.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB85, constB86)) | (~v108(constB85)) | v110(constB86))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85)))),
% 54.08/34.32 inference(transitivity,[status(thm)],[16101, 16099])).
% 54.08/34.32 tff(16103,plain,
% 54.08/34.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB85, constB86)) | (~v108(constB85)) | v110(constB86))),
% 54.08/34.32 inference(quant_inst,[status(thm)],[])).
% 54.08/34.32 tff(16104,plain,
% 54.08/34.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB85, constB86)) | v110(constB86) | (~v108(constB85))),
% 54.08/34.32 inference(modus_ponens,[status(thm)],[16103, 16102])).
% 54.08/34.32 tff(16105,plain,
% 54.08/34.32 (v110(constB86) | (~v108(constB85))),
% 54.08/34.32 inference(unit_resolution,[status(thm)],[16104, 1095, 16098])).
% 54.08/34.32 tff(16106,plain,
% 54.08/34.32 (v110(constB86)),
% 54.08/34.32 inference(unit_resolution,[status(thm)],[16105, 16095])).
% 54.08/34.32 tff(16107,plain,
% 54.08/34.32 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB85) | (~nextState(constB85, constB86)) | (~v104(constB86)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB85) | (~nextState(constB85, constB86)) | (~v104(constB86)))),
% 54.08/34.32 inference(rewrite,[status(thm)],[])).
% 54.08/34.32 tff(16108,plain,
% 54.08/34.32 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB85) | (~nextState(constB85, constB86)) | (~v104(constB86)))),
% 54.08/34.32 inference(quant_inst,[status(thm)],[])).
% 54.08/34.32 tff(16109,plain,
% 54.08/34.32 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB85) | (~nextState(constB85, constB86)) | (~v104(constB86))),
% 54.08/34.32 inference(modus_ponens,[status(thm)],[16108, 16107])).
% 54.08/34.32 tff(16110,plain,
% 54.08/34.32 (~v104(constB86)),
% 54.08/34.32 inference(unit_resolution,[status(thm)],[16109, 1113, 16098, 15975])).
% 54.08/34.32 tff(16111,plain,
% 54.08/34.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB85, constB86)) | v102(constB86) | v104(constB86))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB85, constB86)) | v102(constB86) | v104(constB86))),
% 54.08/34.33 inference(rewrite,[status(thm)],[])).
% 54.08/34.33 tff(16112,plain,
% 54.08/34.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB85, constB86)) | v102(constB86) | v104(constB86))),
% 54.08/34.33 inference(quant_inst,[status(thm)],[])).
% 54.08/34.33 tff(16113,plain,
% 54.08/34.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB85, constB86)) | v102(constB86) | v104(constB86)),
% 54.08/34.33 inference(modus_ponens,[status(thm)],[16112, 16111])).
% 54.08/34.33 tff(16114,plain,
% 54.08/34.33 (v102(constB86) | v104(constB86)),
% 54.08/34.33 inference(unit_resolution,[status(thm)],[16113, 1127, 16098])).
% 54.08/34.33 tff(16115,plain,
% 54.08/34.33 (v102(constB86)),
% 54.08/34.33 inference(unit_resolution,[status(thm)],[16114, 16110])).
% 54.08/34.33 tff(16116,plain,
% 54.08/34.33 (v1(constB86) <=> v1(constB86)),
% 54.08/34.33 inference(rewrite,[status(thm)],[])).
% 54.08/34.33 tff(16117,axiom,(v1(constB86)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_86_1')).
% 54.08/34.33 tff(16118,plain,
% 54.08/34.33 (v1(constB86)),
% 54.08/34.33 inference(modus_ponens,[status(thm)],[16117, 16116])).
% 54.08/34.33 tff(16119,plain,
% 54.08/34.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB85, constB86)) | v101(constB86) | (~v102(constB86)) | (~v1(constB86)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB85, constB86)) | v101(constB86) | (~v102(constB86)) | (~v1(constB86)))),
% 54.08/34.33 inference(rewrite,[status(thm)],[])).
% 54.08/34.33 tff(16120,plain,
% 54.08/34.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB85, constB86)) | v101(constB86) | (~v102(constB86)) | (~v1(constB86)))),
% 54.08/34.33 inference(quant_inst,[status(thm)],[])).
% 54.08/34.33 tff(16121,plain,
% 54.08/34.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB85, constB86)) | v101(constB86) | (~v102(constB86)) | (~v1(constB86))),
% 54.08/34.33 inference(modus_ponens,[status(thm)],[16120, 16119])).
% 54.08/34.33 tff(16122,plain,
% 54.08/34.33 (v101(constB86) | (~v102(constB86))),
% 54.08/34.33 inference(unit_resolution,[status(thm)],[16121, 1145, 16098, 16118])).
% 54.08/34.33 tff(16123,plain,
% 54.08/34.33 (v101(constB86)),
% 54.08/34.33 inference(unit_resolution,[status(thm)],[16122, 16115])).
% 54.08/34.33 tff(16124,plain,
% 54.08/34.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86)))),
% 54.08/34.33 inference(rewrite,[status(thm)],[])).
% 54.08/34.33 tff(16125,plain,
% 54.08/34.33 (((~nextState(constB85, constB86)) | (~v101(constB86)) | (~v110(constB86)) | v100(constB86)) <=> ((~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86)))),
% 54.08/34.33 inference(rewrite,[status(thm)],[])).
% 54.08/34.33 tff(16126,plain,
% 54.08/34.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB85, constB86)) | (~v101(constB86)) | (~v110(constB86)) | v100(constB86))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86))))),
% 54.08/34.33 inference(monotonicity,[status(thm)],[16125])).
% 54.08/34.33 tff(16127,plain,
% 54.08/34.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB85, constB86)) | (~v101(constB86)) | (~v110(constB86)) | v100(constB86))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86)))),
% 54.08/34.33 inference(transitivity,[status(thm)],[16126, 16124])).
% 54.08/34.33 tff(16128,plain,
% 54.08/34.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB85, constB86)) | (~v101(constB86)) | (~v110(constB86)) | v100(constB86))),
% 54.08/34.33 inference(quant_inst,[status(thm)],[])).
% 54.08/34.33 tff(16129,plain,
% 54.08/34.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB85, constB86)) | v100(constB86) | (~v101(constB86)) | (~v110(constB86))),
% 54.08/34.33 inference(modus_ponens,[status(thm)],[16128, 16127])).
% 54.08/34.33 tff(16130,plain,
% 54.08/34.33 (v100(constB86) | (~v101(constB86)) | (~v110(constB86))),
% 54.08/34.33 inference(unit_resolution,[status(thm)],[16129, 1160, 16098])).
% 54.08/34.33 tff(16131,plain,
% 54.08/34.33 (v100(constB86) | (~v110(constB86))),
% 54.08/34.33 inference(unit_resolution,[status(thm)],[16130, 16123])).
% 54.08/34.33 tff(16132,plain,
% 54.08/34.33 (v100(constB86)),
% 54.08/34.33 inference(unit_resolution,[status(thm)],[16131, 16106])).
% 54.08/34.33 tff(16133,plain,
% 54.08/34.33 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB85)) | (~v90(constB85, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB85)) | (~v90(constB85, 1)))),
% 54.08/34.33 inference(rewrite,[status(thm)],[])).
% 54.08/34.33 tff(16134,plain,
% 54.08/34.33 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB85)) | (~v90(constB85, 1)))),
% 54.08/34.33 inference(quant_inst,[status(thm)],[])).
% 54.08/34.33 tff(16135,plain,
% 54.08/34.33 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB85)) | (~v90(constB85, 1))),
% 54.08/34.33 inference(modus_ponens,[status(thm)],[16134, 16133])).
% 54.08/34.33 tff(16136,plain,
% 54.08/34.33 (~v119(constB85)),
% 54.08/34.33 inference(unit_resolution,[status(thm)],[16135, 2868, 16065])).
% 54.08/34.33 tff(16137,plain,
% 54.08/34.33 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB85)) | (~v90(constB85, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB85)) | (~v90(constB85, 1)))),
% 54.08/34.33 inference(rewrite,[status(thm)],[])).
% 54.08/34.33 tff(16138,plain,
% 54.08/34.33 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB85)) | (~v90(constB85, 1)))),
% 54.08/34.33 inference(quant_inst,[status(thm)],[])).
% 54.08/34.33 tff(16139,plain,
% 54.08/34.33 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB85)) | (~v90(constB85, 1))),
% 54.08/34.33 inference(modus_ponens,[status(thm)],[16138, 16137])).
% 54.08/34.33 tff(16140,plain,
% 54.08/34.33 (~v120(constB85)),
% 54.08/34.33 inference(unit_resolution,[status(thm)],[16139, 2846, 16065])).
% 54.08/34.33 tff(16141,plain,
% 54.08/34.33 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB85)) | (~v90(constB85, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB85)) | (~v90(constB85, 2)))),
% 54.08/34.33 inference(rewrite,[status(thm)],[])).
% 54.08/34.33 tff(16142,plain,
% 54.08/34.33 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB85)) | (~v90(constB85, 2)))),
% 54.08/34.33 inference(quant_inst,[status(thm)],[])).
% 54.08/34.33 tff(16143,plain,
% 54.08/34.33 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB85)) | (~v90(constB85, 2))),
% 54.08/34.33 inference(modus_ponens,[status(thm)],[16142, 16141])).
% 54.08/34.33 tff(16144,plain,
% 54.08/34.33 (~v122(constB85)),
% 54.08/34.33 inference(unit_resolution,[status(thm)],[16143, 2797, 16038])).
% 54.08/34.33 tff(16145,plain,
% 54.08/34.33 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB85)) | (~v90(constB85, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB85)) | (~v90(constB85, 1)))),
% 54.08/34.33 inference(rewrite,[status(thm)],[])).
% 54.08/34.33 tff(16146,plain,
% 54.08/34.33 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB85)) | (~v90(constB85, 1)))),
% 54.08/34.33 inference(quant_inst,[status(thm)],[])).
% 54.08/34.33 tff(16147,plain,
% 54.08/34.33 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB85)) | (~v90(constB85, 1))),
% 54.08/34.33 inference(modus_ponens,[status(thm)],[16146, 16145])).
% 54.08/34.33 tff(16148,plain,
% 54.08/34.33 (~v124(constB85)),
% 54.08/34.33 inference(unit_resolution,[status(thm)],[16147, 2890, 16065])).
% 54.08/34.33 tff(16149,plain,
% 54.08/34.33 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB85)) | (~v90(constB85, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB85)) | (~v90(constB85, 1)))),
% 54.08/34.33 inference(rewrite,[status(thm)],[])).
% 54.08/34.33 tff(16150,plain,
% 54.08/34.33 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB85)) | (~v90(constB85, 1)))),
% 54.08/34.33 inference(quant_inst,[status(thm)],[])).
% 54.08/34.33 tff(16151,plain,
% 54.08/34.33 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB85)) | (~v90(constB85, 1))),
% 54.08/34.33 inference(modus_ponens,[status(thm)],[16150, 16149])).
% 54.08/34.33 tff(16152,plain,
% 54.08/34.33 (~v123(constB85)),
% 54.08/34.33 inference(unit_resolution,[status(thm)],[16151, 2879, 16065])).
% 54.08/34.33 tff(16153,plain,
% 54.08/34.33 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB85)) | (~v90(constB85, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB85)) | (~v90(constB85, 2)))),
% 54.08/34.33 inference(rewrite,[status(thm)],[])).
% 54.08/34.33 tff(16154,plain,
% 54.08/34.33 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB85)) | (~v90(constB85, 2)))),
% 54.08/34.33 inference(quant_inst,[status(thm)],[])).
% 54.08/34.33 tff(16155,plain,
% 54.08/34.33 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB85)) | (~v90(constB85, 2))),
% 54.08/34.33 inference(modus_ponens,[status(thm)],[16154, 16153])).
% 54.08/34.33 tff(16156,plain,
% 54.08/34.33 (~v121(constB85)),
% 54.08/34.33 inference(unit_resolution,[status(thm)],[16155, 2857, 16038])).
% 54.08/34.33 tff(16157,plain,
% 54.08/34.33 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, 1)))),
% 54.08/34.33 inference(rewrite,[status(thm)],[])).
% 54.08/34.33 tff(16158,plain,
% 54.08/34.33 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, 1)))),
% 54.08/34.33 inference(quant_inst,[status(thm)],[])).
% 54.08/34.33 tff(16159,plain,
% 54.08/34.33 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, 1))),
% 54.08/34.33 inference(modus_ponens,[status(thm)],[16158, 16157])).
% 54.08/34.33 tff(16160,plain,
% 54.08/34.33 (~v130(constB85, 1)),
% 54.08/34.33 inference(unit_resolution,[status(thm)],[16159, 3309, 16156, 16152, 16148, 16144, 16140, 16136])).
% 54.08/34.33 tff(16161,plain,
% 54.08/34.33 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB85, 1)) | v26(constB85) | v130(constB85, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB85, 1)) | v26(constB85) | v130(constB85, 1))),
% 54.08/34.33 inference(rewrite,[status(thm)],[])).
% 54.08/34.33 tff(16162,plain,
% 54.08/34.33 ((v26(constB85) | v130(constB85, 1) | (~v127(constB85, 1))) <=> ((~v127(constB85, 1)) | v26(constB85) | v130(constB85, 1))),
% 54.08/34.33 inference(rewrite,[status(thm)],[])).
% 54.08/34.33 tff(16163,plain,
% 54.08/34.33 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB85) | v130(constB85, 1) | (~v127(constB85, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB85, 1)) | v26(constB85) | v130(constB85, 1)))),
% 54.08/34.33 inference(monotonicity,[status(thm)],[16162])).
% 54.08/34.33 tff(16164,plain,
% 54.08/34.33 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB85) | v130(constB85, 1) | (~v127(constB85, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB85, 1)) | v26(constB85) | v130(constB85, 1))),
% 54.08/34.33 inference(transitivity,[status(thm)],[16163, 16161])).
% 54.08/34.33 tff(16165,plain,
% 54.08/34.33 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB85) | v130(constB85, 1) | (~v127(constB85, 1)))),
% 54.08/34.33 inference(quant_inst,[status(thm)],[])).
% 54.08/34.33 tff(16166,plain,
% 54.08/34.33 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB85, 1)) | v26(constB85) | v130(constB85, 1)),
% 54.08/34.33 inference(modus_ponens,[status(thm)],[16165, 16164])).
% 54.08/34.33 tff(16167,plain,
% 54.08/34.33 ((~v127(constB85, 1)) | v130(constB85, 1)),
% 54.08/34.33 inference(unit_resolution,[status(thm)],[16166, 1276, 16080])).
% 54.08/34.33 tff(16168,plain,
% 54.08/34.33 (~v127(constB85, 1)),
% 54.08/34.33 inference(unit_resolution,[status(thm)],[16167, 16160])).
% 54.08/34.33 tff(16169,plain,
% 54.08/34.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB85, constB86)) | v127(constB85, 1) | (~v129(constB86, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB85, constB86)) | v127(constB85, 1) | (~v129(constB86, 1)))),
% 54.08/34.33 inference(rewrite,[status(thm)],[])).
% 54.08/34.33 tff(16170,plain,
% 54.08/34.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB85, constB86)) | v127(constB85, 1) | (~v129(constB86, 1)))),
% 54.08/34.33 inference(quant_inst,[status(thm)],[])).
% 54.08/34.33 tff(16171,plain,
% 54.08/34.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB85, constB86)) | v127(constB85, 1) | (~v129(constB86, 1))),
% 54.08/34.33 inference(modus_ponens,[status(thm)],[16170, 16169])).
% 54.08/34.33 tff(16172,plain,
% 54.08/34.33 (v127(constB85, 1) | (~v129(constB86, 1))),
% 54.08/34.33 inference(unit_resolution,[status(thm)],[16171, 1294, 16098])).
% 54.08/34.33 tff(16173,plain,
% 54.08/34.33 (~v129(constB86, 1)),
% 54.08/34.33 inference(unit_resolution,[status(thm)],[16172, 16168])).
% 54.08/34.33 tff(16174,plain,
% 54.08/34.33 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB86, 1)) | v129(constB86, 1) | (~v100(constB86)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB86, 1)) | v129(constB86, 1) | (~v100(constB86)))),
% 54.08/34.33 inference(rewrite,[status(thm)],[])).
% 54.08/34.33 tff(16175,plain,
% 54.08/34.33 (((~v90(constB86, 1)) | (~v100(constB86)) | v129(constB86, 1)) <=> ((~v90(constB86, 1)) | v129(constB86, 1) | (~v100(constB86)))),
% 54.08/34.33 inference(rewrite,[status(thm)],[])).
% 54.08/34.33 tff(16176,plain,
% 54.08/34.33 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB86, 1)) | (~v100(constB86)) | v129(constB86, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB86, 1)) | v129(constB86, 1) | (~v100(constB86))))),
% 54.08/34.33 inference(monotonicity,[status(thm)],[16175])).
% 54.08/34.33 tff(16177,plain,
% 54.08/34.33 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB86, 1)) | (~v100(constB86)) | v129(constB86, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB86, 1)) | v129(constB86, 1) | (~v100(constB86)))),
% 54.08/34.33 inference(transitivity,[status(thm)],[16176, 16174])).
% 54.08/34.33 tff(16178,plain,
% 54.08/34.33 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB86, 1)) | (~v100(constB86)) | v129(constB86, 1))),
% 54.08/34.33 inference(quant_inst,[status(thm)],[])).
% 54.08/34.33 tff(16179,plain,
% 54.08/34.33 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB86, 1)) | v129(constB86, 1) | (~v100(constB86))),
% 54.08/34.33 inference(modus_ponens,[status(thm)],[16178, 16177])).
% 54.08/34.33 tff(16180,plain,
% 54.08/34.33 ((~v90(constB86, 1)) | (~v100(constB86))),
% 54.08/34.33 inference(unit_resolution,[status(thm)],[16179, 1309, 16173])).
% 54.08/34.33 tff(16181,plain,
% 54.08/34.33 (~v90(constB86, 1)),
% 54.08/34.33 inference(unit_resolution,[status(thm)],[16180, 16132])).
% 54.08/34.33 tff(16182,assumption,(v130(constB83, 1)), introduced(assumption)).
% 54.08/34.33 tff(16183,assumption,(~v90(constB85, 0)), introduced(assumption)).
% 54.08/34.33 tff(16184,assumption,(~v90(constB86, 1)), introduced(assumption)).
% 54.08/34.33 tff(16185,assumption,(~v90(constB83, 0)), introduced(assumption)).
% 54.08/34.33 tff(16186,plain,
% 54.08/34.33 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB83)) | v90(constB83, 0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB83)) | v90(constB83, 0))),
% 54.08/34.33 inference(rewrite,[status(thm)],[])).
% 54.08/34.33 tff(16187,plain,
% 54.08/34.33 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB83)) | v90(constB83, 0))),
% 54.08/34.33 inference(quant_inst,[status(thm)],[])).
% 54.08/34.33 tff(16188,plain,
% 54.08/34.33 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB83)) | v90(constB83, 0)),
% 54.08/34.33 inference(modus_ponens,[status(thm)],[16187, 16186])).
% 54.08/34.33 tff(16189,plain,
% 54.08/34.33 (~v124(constB83)),
% 54.08/34.33 inference(unit_resolution,[status(thm)],[16188, 6692, 16185])).
% 54.08/34.33 tff(16190,plain,
% 54.08/34.33 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | ((~v122(constB83)) | v90(constB83, 0))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | (~v122(constB83)) | v90(constB83, 0))),
% 54.08/34.33 inference(rewrite,[status(thm)],[])).
% 54.08/34.33 tff(16191,plain,
% 54.08/34.33 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | ((~v122(constB83)) | v90(constB83, 0))),
% 54.08/34.33 inference(quant_inst,[status(thm)],[])).
% 54.08/34.33 tff(16192,plain,
% 54.08/34.33 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | (~v122(constB83)) | v90(constB83, 0)),
% 54.08/34.33 inference(modus_ponens,[status(thm)],[16191, 16190])).
% 54.08/34.33 tff(16193,plain,
% 54.08/34.33 (~v122(constB83)),
% 54.08/34.33 inference(unit_resolution,[status(thm)],[16192, 6851, 16185])).
% 54.08/34.33 tff(16194,plain,
% 54.08/34.33 (^[VarCurr: state_type] : refl(((~v120(VarCurr)) | v90(VarCurr, 0)) <=> ((~v120(VarCurr)) | v90(VarCurr, 0)))),
% 54.08/34.33 inference(bind,[status(th)],[])).
% 54.08/34.33 tff(16195,plain,
% 54.08/34.33 (![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))),
% 54.08/34.33 inference(quant_intro,[status(thm)],[16194])).
% 54.08/34.33 tff(16196,plain,
% 54.08/34.33 (![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))),
% 54.08/34.33 inference(rewrite,[status(thm)],[])).
% 54.08/34.33 tff(16197,axiom,(![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3_1_1_2')).
% 54.08/34.33 tff(16198,plain,
% 54.08/34.33 (![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))),
% 54.08/34.33 inference(modus_ponens,[status(thm)],[16197, 16196])).
% 54.08/34.33 tff(16199,plain,(
% 54.08/34.33 ![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))),
% 54.08/34.33 inference(skolemize,[status(sab)],[16198])).
% 54.08/34.33 tff(16200,plain,
% 54.08/34.33 (![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))),
% 54.08/34.33 inference(modus_ponens,[status(thm)],[16199, 16195])).
% 54.08/34.33 tff(16201,plain,
% 54.08/34.33 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | ((~v120(constB83)) | v90(constB83, 0))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | (~v120(constB83)) | v90(constB83, 0))),
% 54.08/34.33 inference(rewrite,[status(thm)],[])).
% 54.08/34.33 tff(16202,plain,
% 54.08/34.33 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | ((~v120(constB83)) | v90(constB83, 0))),
% 54.08/34.33 inference(quant_inst,[status(thm)],[])).
% 54.08/34.33 tff(16203,plain,
% 54.08/34.33 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | (~v120(constB83)) | v90(constB83, 0)),
% 54.08/34.33 inference(modus_ponens,[status(thm)],[16202, 16201])).
% 54.08/34.33 tff(16204,plain,
% 54.08/34.33 (~v120(constB83)),
% 54.08/34.33 inference(unit_resolution,[status(thm)],[16203, 16200, 16185])).
% 54.08/34.33 tff(16205,plain,
% 54.08/34.33 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB83)) | v130(constB83, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB83)) | v130(constB83, 0))),
% 54.08/34.33 inference(rewrite,[status(thm)],[])).
% 54.08/34.33 tff(16206,plain,
% 54.08/34.33 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB83)) | v130(constB83, 0))),
% 54.08/34.33 inference(quant_inst,[status(thm)],[])).
% 54.08/34.33 tff(16207,plain,
% 54.08/34.33 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB83)) | v130(constB83, 0)),
% 54.08/34.33 inference(modus_ponens,[status(thm)],[16206, 16205])).
% 54.08/34.33 tff(16208,plain,
% 54.08/34.33 (~v119(constB83)),
% 54.08/34.33 inference(unit_resolution,[status(thm)],[16207, 1333, 15945])).
% 54.08/34.33 tff(16209,plain,
% 54.08/34.33 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB83)) | v130(constB83, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB83)) | v130(constB83, 0))),
% 54.08/34.33 inference(rewrite,[status(thm)],[])).
% 54.08/34.33 tff(16210,plain,
% 54.08/34.33 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB83)) | v130(constB83, 0))),
% 54.08/34.33 inference(quant_inst,[status(thm)],[])).
% 54.08/34.33 tff(16211,plain,
% 54.08/34.33 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB83)) | v130(constB83, 0)),
% 54.08/34.33 inference(modus_ponens,[status(thm)],[16210, 16209])).
% 54.08/34.33 tff(16212,plain,
% 54.08/34.33 (~v123(constB83)),
% 54.08/34.33 inference(unit_resolution,[status(thm)],[16211, 2622, 15945])).
% 54.08/34.33 tff(16213,plain,
% 54.08/34.33 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB83)) | v130(constB83, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB83)) | v130(constB83, 0))),
% 54.08/34.33 inference(rewrite,[status(thm)],[])).
% 54.08/34.33 tff(16214,plain,
% 54.08/34.33 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB83)) | v130(constB83, 0))),
% 54.08/34.33 inference(quant_inst,[status(thm)],[])).
% 54.08/34.33 tff(16215,plain,
% 54.08/34.33 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB83)) | v130(constB83, 0)),
% 54.08/34.33 inference(modus_ponens,[status(thm)],[16214, 16213])).
% 54.08/34.33 tff(16216,plain,
% 54.08/34.33 (~v121(constB83)),
% 54.08/34.33 inference(unit_resolution,[status(thm)],[16215, 1915, 15945])).
% 54.08/34.33 tff(16217,assumption,(~v120(constB83)), introduced(assumption)).
% 54.08/34.33 tff(16218,assumption,(~v122(constB83)), introduced(assumption)).
% 54.08/34.33 tff(16219,assumption,(~v124(constB83)), introduced(assumption)).
% 54.08/34.33 tff(16220,plain,
% 54.08/34.33 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB83) | v120(constB83) | v121(constB83) | v122(constB83) | v123(constB83) | v124(constB83) | v130(constB83, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB83) | v120(constB83) | v121(constB83) | v122(constB83) | v123(constB83) | v124(constB83) | v130(constB83, 0))),
% 54.08/34.33 inference(rewrite,[status(thm)],[])).
% 54.08/34.33 tff(16221,plain,
% 54.08/34.33 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB83) | v120(constB83) | v121(constB83) | v122(constB83) | v123(constB83) | v124(constB83) | v130(constB83, 0))),
% 54.08/34.33 inference(quant_inst,[status(thm)],[])).
% 54.08/34.33 tff(16222,plain,
% 54.08/34.33 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB83) | v120(constB83) | v121(constB83) | v122(constB83) | v123(constB83) | v124(constB83) | v130(constB83, 0)),
% 54.08/34.33 inference(modus_ponens,[status(thm)],[16221, 16220])).
% 54.08/34.33 tff(16223,plain,
% 54.08/34.33 (v119(constB83) | v121(constB83) | v123(constB83) | v130(constB83, 0)),
% 54.08/34.33 inference(unit_resolution,[status(thm)],[16222, 3413, 16219, 16218, 16217])).
% 54.08/34.33 tff(16224,plain,
% 54.08/34.33 ($false),
% 54.08/34.33 inference(unit_resolution,[status(thm)],[16223, 16216, 16212, 15945, 16208])).
% 54.08/34.33 tff(16225,plain,(v130(constB83, 0) | v124(constB83) | v122(constB83) | v120(constB83)), inference(lemma,lemma(discharge,[]))).
% 54.08/34.33 tff(16226,plain,
% 54.08/34.33 (v130(constB83, 0)),
% 54.08/34.33 inference(unit_resolution,[status(thm)],[16225, 16204, 16193, 16189])).
% 54.08/34.33 tff(16227,plain,
% 54.08/34.33 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB83) | (~v130(constB83, 0)) | v127(constB83, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB83) | (~v130(constB83, 0)) | v127(constB83, 0))),
% 54.08/34.33 inference(rewrite,[status(thm)],[])).
% 54.08/34.33 tff(16228,plain,
% 54.08/34.33 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB83) | (~v130(constB83, 0)) | v127(constB83, 0))),
% 54.08/34.33 inference(quant_inst,[status(thm)],[])).
% 54.08/34.33 tff(16229,plain,
% 54.08/34.33 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB83) | (~v130(constB83, 0)) | v127(constB83, 0)),
% 54.08/34.33 inference(modus_ponens,[status(thm)],[16228, 16227])).
% 54.08/34.33 tff(16230,plain,
% 54.08/34.33 ((~v130(constB83, 0)) | v127(constB83, 0)),
% 54.08/34.33 inference(unit_resolution,[status(thm)],[16229, 1347, 15890])).
% 54.08/34.33 tff(16231,plain,
% 54.08/34.33 (v127(constB83, 0)),
% 54.08/34.33 inference(unit_resolution,[status(thm)],[16230, 16226])).
% 54.08/34.33 tff(16232,plain,
% 54.08/34.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB83, constB84)) | (~v127(constB83, 0)) | v129(constB84, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB83, constB84)) | (~v127(constB83, 0)) | v129(constB84, 0))),
% 54.08/34.33 inference(rewrite,[status(thm)],[])).
% 54.08/34.33 tff(16233,plain,
% 54.08/34.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB83, constB84)) | (~v127(constB83, 0)) | v129(constB84, 0))),
% 54.08/34.33 inference(quant_inst,[status(thm)],[])).
% 54.08/34.33 tff(16234,plain,
% 54.08/34.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB83, constB84)) | (~v127(constB83, 0)) | v129(constB84, 0)),
% 54.08/34.33 inference(modus_ponens,[status(thm)],[16233, 16232])).
% 54.08/34.33 tff(16235,plain,
% 54.08/34.33 ((~v127(constB83, 0)) | v129(constB84, 0)),
% 54.08/34.33 inference(unit_resolution,[status(thm)],[16234, 1362, 15908])).
% 54.08/34.33 tff(16236,plain,
% 54.08/34.33 (v129(constB84, 0)),
% 54.08/34.33 inference(unit_resolution,[status(thm)],[16235, 16231])).
% 54.08/34.33 tff(16237,plain,
% 54.08/34.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB84, 0)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB84, 0)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, 0))),
% 54.08/34.33 inference(rewrite,[status(thm)],[])).
% 54.08/34.33 tff(16238,plain,
% 54.08/34.33 (((~nextState(constB84, constB85)) | (~v90(constB84, 0)) | v100(constB85) | v90(constB85, 0)) <=> ((~v90(constB84, 0)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, 0))),
% 54.08/34.33 inference(rewrite,[status(thm)],[])).
% 54.08/34.33 tff(16239,plain,
% 54.08/34.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB84, constB85)) | (~v90(constB84, 0)) | v100(constB85) | v90(constB85, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB84, 0)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, 0)))),
% 54.08/34.33 inference(monotonicity,[status(thm)],[16238])).
% 54.08/34.33 tff(16240,plain,
% 54.08/34.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB84, constB85)) | (~v90(constB84, 0)) | v100(constB85) | v90(constB85, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB84, 0)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, 0))),
% 54.08/34.33 inference(transitivity,[status(thm)],[16239, 16237])).
% 54.08/34.33 tff(16241,plain,
% 54.08/34.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB84, constB85)) | (~v90(constB84, 0)) | v100(constB85) | v90(constB85, 0))),
% 54.08/34.33 inference(quant_inst,[status(thm)],[])).
% 54.08/34.33 tff(16242,plain,
% 54.08/34.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB84, 0)) | (~nextState(constB84, constB85)) | v100(constB85) | v90(constB85, 0)),
% 54.08/34.33 inference(modus_ponens,[status(thm)],[16241, 16240])).
% 54.08/34.33 tff(16243,plain,
% 54.08/34.33 ((~v90(constB84, 0)) | v100(constB85) | v90(constB85, 0)),
% 54.08/34.33 inference(unit_resolution,[status(thm)],[16242, 1395, 15978])).
% 54.08/34.33 tff(16244,plain,
% 54.08/34.33 ((~v90(constB84, 0)) | v90(constB85, 0)),
% 54.08/34.33 inference(unit_resolution,[status(thm)],[16243, 15990])).
% 54.08/34.33 tff(16245,plain,
% 54.08/34.33 (~v90(constB84, 0)),
% 54.08/34.33 inference(unit_resolution,[status(thm)],[16244, 16183])).
% 54.08/34.33 tff(16246,plain,
% 54.08/34.33 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB84, 0) | (~v129(constB84, 0)) | (~v100(constB84)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB84, 0) | (~v129(constB84, 0)) | (~v100(constB84)))),
% 54.08/34.33 inference(rewrite,[status(thm)],[])).
% 54.08/34.33 tff(16247,plain,
% 54.08/34.33 ((v90(constB84, 0) | (~v100(constB84)) | (~v129(constB84, 0))) <=> (v90(constB84, 0) | (~v129(constB84, 0)) | (~v100(constB84)))),
% 54.08/34.33 inference(rewrite,[status(thm)],[])).
% 54.08/34.33 tff(16248,plain,
% 54.08/34.33 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB84, 0) | (~v100(constB84)) | (~v129(constB84, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB84, 0) | (~v129(constB84, 0)) | (~v100(constB84))))),
% 54.08/34.33 inference(monotonicity,[status(thm)],[16247])).
% 54.08/34.33 tff(16249,plain,
% 54.08/34.33 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB84, 0) | (~v100(constB84)) | (~v129(constB84, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB84, 0) | (~v129(constB84, 0)) | (~v100(constB84)))),
% 54.08/34.33 inference(transitivity,[status(thm)],[16248, 16246])).
% 54.08/34.33 tff(16250,plain,
% 54.08/34.33 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB84, 0) | (~v100(constB84)) | (~v129(constB84, 0)))),
% 54.08/34.33 inference(quant_inst,[status(thm)],[])).
% 54.08/34.33 tff(16251,plain,
% 54.08/34.33 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB84, 0) | (~v129(constB84, 0)) | (~v100(constB84))),
% 54.08/34.33 inference(modus_ponens,[status(thm)],[16250, 16249])).
% 54.08/34.33 tff(16252,plain,
% 54.08/34.33 ((~v129(constB84, 0)) | (~v100(constB84))),
% 54.08/34.33 inference(unit_resolution,[status(thm)],[16251, 1377, 16245])).
% 54.08/34.33 tff(16253,plain,
% 54.08/34.33 (~v100(constB84)),
% 54.08/34.33 inference(unit_resolution,[status(thm)],[16252, 16236])).
% 54.08/34.33 tff(16254,plain,
% 54.08/34.33 (~v110(constB84)),
% 54.08/34.33 inference(unit_resolution,[status(thm)],[15938, 16253])).
% 54.08/34.33 tff(16255,plain,
% 54.08/34.33 (~v108(constB83)),
% 54.08/34.33 inference(unit_resolution,[status(thm)],[15915, 16254])).
% 54.08/34.33 tff(16256,plain,
% 54.08/34.33 (~v112(constB83)),
% 54.08/34.33 inference(unit_resolution,[status(thm)],[15904, 1075, 16255])).
% 54.08/34.33 tff(16257,plain,
% 54.08/34.33 (~v113(constB83)),
% 54.08/34.33 inference(unit_resolution,[status(thm)],[15897, 16256])).
% 54.08/34.33 tff(16258,plain,
% 54.08/34.33 (~v114(constB83)),
% 54.08/34.33 inference(unit_resolution,[status(thm)],[15885, 1049, 16257])).
% 54.08/34.33 tff(16259,plain,
% 54.08/34.33 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB83) | (~v115(constB83)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB83) | (~v115(constB83)))),
% 54.08/34.33 inference(rewrite,[status(thm)],[])).
% 54.08/34.33 tff(16260,plain,
% 54.08/34.33 (((~v115(constB83)) | v114(constB83)) <=> (v114(constB83) | (~v115(constB83)))),
% 54.08/34.33 inference(rewrite,[status(thm)],[])).
% 54.08/34.33 tff(16261,plain,
% 54.08/34.33 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB83)) | v114(constB83))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB83) | (~v115(constB83))))),
% 54.08/34.33 inference(monotonicity,[status(thm)],[16260])).
% 54.08/34.33 tff(16262,plain,
% 54.08/34.33 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB83)) | v114(constB83))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB83) | (~v115(constB83)))),
% 54.08/34.33 inference(transitivity,[status(thm)],[16261, 16259])).
% 54.08/34.33 tff(16263,plain,
% 54.08/34.33 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB83)) | v114(constB83))),
% 54.08/34.33 inference(quant_inst,[status(thm)],[])).
% 54.08/34.33 tff(16264,plain,
% 54.08/34.33 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB83) | (~v115(constB83))),
% 54.08/34.33 inference(modus_ponens,[status(thm)],[16263, 16262])).
% 54.08/34.33 tff(16265,plain,
% 54.08/34.33 (~v115(constB83)),
% 54.08/34.33 inference(unit_resolution,[status(thm)],[16264, 1035, 16258])).
% 54.08/34.33 tff(16266,plain,
% 54.08/34.33 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB83)) | v115(constB83))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB83)) | v115(constB83))),
% 54.08/34.33 inference(rewrite,[status(thm)],[])).
% 54.08/34.33 tff(16267,plain,
% 54.08/34.33 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB83)) | v115(constB83))),
% 54.08/34.33 inference(quant_inst,[status(thm)],[])).
% 54.08/34.33 tff(16268,plain,
% 54.08/34.33 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB83)) | v115(constB83)),
% 54.08/34.33 inference(modus_ponens,[status(thm)],[16267, 16266])).
% 54.08/34.33 tff(16269,plain,
% 54.08/34.33 (~v123(constB83)),
% 54.08/34.33 inference(unit_resolution,[status(thm)],[16268, 2291, 16265])).
% 54.08/34.33 tff(16270,assumption,(~v90(constB86, 2)), introduced(assumption)).
% 54.08/34.33 tff(16271,assumption,(~v100(constB86)), introduced(assumption)).
% 54.08/34.33 tff(16272,plain,
% 54.08/34.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB85, 2)) | (~nextState(constB85, constB86)) | v100(constB86) | v90(constB86, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB85, 2)) | (~nextState(constB85, constB86)) | v100(constB86) | v90(constB86, 2))),
% 54.08/34.33 inference(rewrite,[status(thm)],[])).
% 54.08/34.33 tff(16273,plain,
% 54.08/34.33 (((~nextState(constB85, constB86)) | (~v90(constB85, 2)) | v100(constB86) | v90(constB86, 2)) <=> ((~v90(constB85, 2)) | (~nextState(constB85, constB86)) | v100(constB86) | v90(constB86, 2))),
% 54.08/34.33 inference(rewrite,[status(thm)],[])).
% 54.08/34.33 tff(16274,plain,
% 54.08/34.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB85, constB86)) | (~v90(constB85, 2)) | v100(constB86) | v90(constB86, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB85, 2)) | (~nextState(constB85, constB86)) | v100(constB86) | v90(constB86, 2)))),
% 54.08/34.33 inference(monotonicity,[status(thm)],[16273])).
% 54.08/34.33 tff(16275,plain,
% 54.08/34.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB85, constB86)) | (~v90(constB85, 2)) | v100(constB86) | v90(constB86, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB85, 2)) | (~nextState(constB85, constB86)) | v100(constB86) | v90(constB86, 2))),
% 54.08/34.33 inference(transitivity,[status(thm)],[16274, 16272])).
% 54.08/34.33 tff(16276,plain,
% 54.08/34.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB85, constB86)) | (~v90(constB85, 2)) | v100(constB86) | v90(constB86, 2))),
% 54.08/34.33 inference(quant_inst,[status(thm)],[])).
% 54.08/34.33 tff(16277,plain,
% 54.08/34.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB85, 2)) | (~nextState(constB85, constB86)) | v100(constB86) | v90(constB86, 2)),
% 54.08/34.33 inference(modus_ponens,[status(thm)],[16276, 16275])).
% 54.08/34.33 tff(16278,plain,
% 54.08/34.33 ((~v90(constB85, 2)) | v100(constB86) | v90(constB86, 2)),
% 54.08/34.33 inference(unit_resolution,[status(thm)],[16277, 2174, 16098])).
% 54.08/34.33 tff(16279,plain,
% 54.08/34.33 (~v90(constB85, 2)),
% 54.08/34.33 inference(unit_resolution,[status(thm)],[16278, 16271, 16270])).
% 54.08/34.33 tff(16280,plain,
% 54.08/34.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB85, 1)) | (~nextState(constB85, constB86)) | v100(constB86) | v90(constB86, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB85, 1)) | (~nextState(constB85, constB86)) | v100(constB86) | v90(constB86, 1))),
% 54.08/34.33 inference(rewrite,[status(thm)],[])).
% 54.08/34.33 tff(16281,plain,
% 54.08/34.33 (((~nextState(constB85, constB86)) | (~v90(constB85, 1)) | v100(constB86) | v90(constB86, 1)) <=> ((~v90(constB85, 1)) | (~nextState(constB85, constB86)) | v100(constB86) | v90(constB86, 1))),
% 54.08/34.33 inference(rewrite,[status(thm)],[])).
% 54.08/34.33 tff(16282,plain,
% 54.08/34.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB85, constB86)) | (~v90(constB85, 1)) | v100(constB86) | v90(constB86, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB85, 1)) | (~nextState(constB85, constB86)) | v100(constB86) | v90(constB86, 1)))),
% 54.08/34.33 inference(monotonicity,[status(thm)],[16281])).
% 54.08/34.33 tff(16283,plain,
% 54.08/34.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB85, constB86)) | (~v90(constB85, 1)) | v100(constB86) | v90(constB86, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB85, 1)) | (~nextState(constB85, constB86)) | v100(constB86) | v90(constB86, 1))),
% 54.08/34.33 inference(transitivity,[status(thm)],[16282, 16280])).
% 54.08/34.33 tff(16284,plain,
% 54.08/34.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB85, constB86)) | (~v90(constB85, 1)) | v100(constB86) | v90(constB86, 1))),
% 54.17/34.33 inference(quant_inst,[status(thm)],[])).
% 54.17/34.33 tff(16285,plain,
% 54.17/34.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB85, 1)) | (~nextState(constB85, constB86)) | v100(constB86) | v90(constB86, 1)),
% 54.17/34.33 inference(modus_ponens,[status(thm)],[16284, 16283])).
% 54.17/34.33 tff(16286,plain,
% 54.17/34.33 ((~v90(constB85, 1)) | v100(constB86) | v90(constB86, 1)),
% 54.17/34.33 inference(unit_resolution,[status(thm)],[16285, 1641, 16098])).
% 54.17/34.33 tff(16287,plain,
% 54.17/34.33 (~v90(constB85, 1)),
% 54.17/34.33 inference(unit_resolution,[status(thm)],[16286, 16271, 16184])).
% 54.17/34.33 tff(16288,plain,
% 54.17/34.33 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB85, 0) | v90(constB85, 1) | v90(constB85, 2) | v119(constB85))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB85, 0) | v90(constB85, 1) | v90(constB85, 2) | v119(constB85))),
% 54.17/34.33 inference(rewrite,[status(thm)],[])).
% 54.17/34.33 tff(16289,plain,
% 54.17/34.33 ((v90(constB85, 0) | v119(constB85) | v90(constB85, 1) | v90(constB85, 2)) <=> (v90(constB85, 0) | v90(constB85, 1) | v90(constB85, 2) | v119(constB85))),
% 54.17/34.33 inference(rewrite,[status(thm)],[])).
% 54.17/34.33 tff(16290,plain,
% 54.17/34.33 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB85, 0) | v119(constB85) | v90(constB85, 1) | v90(constB85, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB85, 0) | v90(constB85, 1) | v90(constB85, 2) | v119(constB85)))),
% 54.17/34.33 inference(monotonicity,[status(thm)],[16289])).
% 54.17/34.33 tff(16291,plain,
% 54.17/34.33 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB85, 0) | v119(constB85) | v90(constB85, 1) | v90(constB85, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB85, 0) | v90(constB85, 1) | v90(constB85, 2) | v119(constB85))),
% 54.17/34.33 inference(transitivity,[status(thm)],[16290, 16288])).
% 54.17/34.33 tff(16292,plain,
% 54.17/34.33 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB85, 0) | v119(constB85) | v90(constB85, 1) | v90(constB85, 2))),
% 54.17/34.33 inference(quant_inst,[status(thm)],[])).
% 54.17/34.33 tff(16293,plain,
% 54.17/34.33 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB85, 0) | v90(constB85, 1) | v90(constB85, 2) | v119(constB85)),
% 54.17/34.33 inference(modus_ponens,[status(thm)],[16292, 16291])).
% 54.17/34.33 tff(16294,plain,
% 54.17/34.33 (v90(constB85, 1) | v90(constB85, 2) | v119(constB85)),
% 54.17/34.33 inference(unit_resolution,[status(thm)],[16293, 968, 16183])).
% 54.17/34.33 tff(16295,plain,
% 54.17/34.33 (v119(constB85)),
% 54.17/34.33 inference(unit_resolution,[status(thm)],[16294, 16287, 16279])).
% 54.17/34.33 tff(16296,plain,
% 54.17/34.33 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB85) | (~v119(constB85)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB85) | (~v119(constB85)))),
% 54.17/34.33 inference(rewrite,[status(thm)],[])).
% 54.17/34.33 tff(16297,plain,
% 54.17/34.33 (((~v119(constB85)) | v118(constB85)) <=> (v118(constB85) | (~v119(constB85)))),
% 54.17/34.33 inference(rewrite,[status(thm)],[])).
% 54.17/34.33 tff(16298,plain,
% 54.17/34.33 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB85)) | v118(constB85))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB85) | (~v119(constB85))))),
% 54.17/34.33 inference(monotonicity,[status(thm)],[16297])).
% 54.17/34.33 tff(16299,plain,
% 54.17/34.33 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB85)) | v118(constB85))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB85) | (~v119(constB85)))),
% 54.17/34.33 inference(transitivity,[status(thm)],[16298, 16296])).
% 54.17/34.33 tff(16300,plain,
% 54.17/34.33 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB85)) | v118(constB85))),
% 54.17/34.33 inference(quant_inst,[status(thm)],[])).
% 54.17/34.33 tff(16301,plain,
% 54.17/34.33 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB85) | (~v119(constB85))),
% 54.17/34.33 inference(modus_ponens,[status(thm)],[16300, 16299])).
% 54.17/34.33 tff(16302,plain,
% 54.17/34.33 (v118(constB85)),
% 54.17/34.33 inference(unit_resolution,[status(thm)],[16301, 982, 16295])).
% 54.17/34.33 tff(16303,plain,
% 54.17/34.33 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB85) | (~v118(constB85)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB85) | (~v118(constB85)))),
% 54.17/34.33 inference(rewrite,[status(thm)],[])).
% 54.17/34.33 tff(16304,plain,
% 54.17/34.33 (((~v118(constB85)) | v117(constB85)) <=> (v117(constB85) | (~v118(constB85)))),
% 54.17/34.33 inference(rewrite,[status(thm)],[])).
% 54.17/34.33 tff(16305,plain,
% 54.17/34.33 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB85)) | v117(constB85))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB85) | (~v118(constB85))))),
% 54.17/34.33 inference(monotonicity,[status(thm)],[16304])).
% 54.17/34.33 tff(16306,plain,
% 54.17/34.33 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB85)) | v117(constB85))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB85) | (~v118(constB85)))),
% 54.17/34.33 inference(transitivity,[status(thm)],[16305, 16303])).
% 54.17/34.33 tff(16307,plain,
% 54.17/34.33 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB85)) | v117(constB85))),
% 54.17/34.33 inference(quant_inst,[status(thm)],[])).
% 54.17/34.33 tff(16308,plain,
% 54.17/34.33 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB85) | (~v118(constB85))),
% 54.17/34.33 inference(modus_ponens,[status(thm)],[16307, 16306])).
% 54.17/34.33 tff(16309,plain,
% 54.17/34.33 (v117(constB85)),
% 54.17/34.33 inference(unit_resolution,[status(thm)],[16308, 993, 16302])).
% 54.17/34.33 tff(16310,plain,
% 54.17/34.33 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB85) | (~v117(constB85)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB85) | (~v117(constB85)))),
% 54.17/34.33 inference(rewrite,[status(thm)],[])).
% 54.17/34.33 tff(16311,plain,
% 54.17/34.33 (((~v117(constB85)) | v116(constB85)) <=> (v116(constB85) | (~v117(constB85)))),
% 54.17/34.33 inference(rewrite,[status(thm)],[])).
% 54.17/34.33 tff(16312,plain,
% 54.17/34.33 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB85)) | v116(constB85))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB85) | (~v117(constB85))))),
% 54.17/34.33 inference(monotonicity,[status(thm)],[16311])).
% 54.17/34.33 tff(16313,plain,
% 54.17/34.33 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB85)) | v116(constB85))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB85) | (~v117(constB85)))),
% 54.17/34.33 inference(transitivity,[status(thm)],[16312, 16310])).
% 54.17/34.33 tff(16314,plain,
% 54.17/34.33 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB85)) | v116(constB85))),
% 54.17/34.33 inference(quant_inst,[status(thm)],[])).
% 54.17/34.33 tff(16315,plain,
% 54.17/34.33 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB85) | (~v117(constB85))),
% 54.17/34.33 inference(modus_ponens,[status(thm)],[16314, 16313])).
% 54.17/34.33 tff(16316,plain,
% 54.17/34.33 (v116(constB85)),
% 54.17/34.33 inference(unit_resolution,[status(thm)],[16315, 1007, 16309])).
% 54.17/34.33 tff(16317,plain,
% 54.17/34.33 (~v110(constB86)),
% 54.17/34.33 inference(unit_resolution,[status(thm)],[16131, 16271])).
% 54.17/34.33 tff(16318,plain,
% 54.17/34.33 (~v108(constB85)),
% 54.17/34.33 inference(unit_resolution,[status(thm)],[16105, 16317])).
% 54.17/34.33 tff(16319,plain,
% 54.17/34.33 (~v112(constB85)),
% 54.17/34.33 inference(unit_resolution,[status(thm)],[16094, 1075, 16318])).
% 54.17/34.33 tff(16320,plain,
% 54.17/34.33 (~v113(constB85)),
% 54.17/34.33 inference(unit_resolution,[status(thm)],[16087, 16319])).
% 54.17/34.33 tff(16321,plain,
% 54.17/34.33 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB85) | (~v114(constB85)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB85) | (~v114(constB85)))),
% 54.17/34.33 inference(rewrite,[status(thm)],[])).
% 54.17/34.33 tff(16322,plain,
% 54.17/34.33 (((~v114(constB85)) | v113(constB85)) <=> (v113(constB85) | (~v114(constB85)))),
% 54.17/34.33 inference(rewrite,[status(thm)],[])).
% 54.17/34.33 tff(16323,plain,
% 54.17/34.33 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB85)) | v113(constB85))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB85) | (~v114(constB85))))),
% 54.17/34.34 inference(monotonicity,[status(thm)],[16322])).
% 54.17/34.34 tff(16324,plain,
% 54.17/34.34 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB85)) | v113(constB85))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB85) | (~v114(constB85)))),
% 54.17/34.34 inference(transitivity,[status(thm)],[16323, 16321])).
% 54.17/34.34 tff(16325,plain,
% 54.17/34.34 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB85)) | v113(constB85))),
% 54.17/34.34 inference(quant_inst,[status(thm)],[])).
% 54.17/34.34 tff(16326,plain,
% 54.17/34.34 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB85) | (~v114(constB85))),
% 54.17/34.34 inference(modus_ponens,[status(thm)],[16325, 16324])).
% 54.17/34.34 tff(16327,plain,
% 54.17/34.34 (~v114(constB85)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16326, 1049, 16320])).
% 54.17/34.34 tff(16328,plain,
% 54.17/34.34 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB85) | (~v115(constB85)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB85) | (~v115(constB85)))),
% 54.17/34.34 inference(rewrite,[status(thm)],[])).
% 54.17/34.34 tff(16329,plain,
% 54.17/34.34 (((~v115(constB85)) | v114(constB85)) <=> (v114(constB85) | (~v115(constB85)))),
% 54.17/34.34 inference(rewrite,[status(thm)],[])).
% 54.17/34.34 tff(16330,plain,
% 54.17/34.34 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB85)) | v114(constB85))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB85) | (~v115(constB85))))),
% 54.17/34.34 inference(monotonicity,[status(thm)],[16329])).
% 54.17/34.34 tff(16331,plain,
% 54.17/34.34 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB85)) | v114(constB85))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB85) | (~v115(constB85)))),
% 54.17/34.34 inference(transitivity,[status(thm)],[16330, 16328])).
% 54.17/34.34 tff(16332,plain,
% 54.17/34.34 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB85)) | v114(constB85))),
% 54.17/34.34 inference(quant_inst,[status(thm)],[])).
% 54.17/34.34 tff(16333,plain,
% 54.17/34.34 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB85) | (~v115(constB85))),
% 54.17/34.34 inference(modus_ponens,[status(thm)],[16332, 16331])).
% 54.17/34.34 tff(16334,plain,
% 54.17/34.34 (~v115(constB85)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16333, 1035, 16327])).
% 54.17/34.34 tff(16335,plain,
% 54.17/34.34 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB85) | (~v116(constB85)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB85) | (~v116(constB85)))),
% 54.17/34.34 inference(rewrite,[status(thm)],[])).
% 54.17/34.34 tff(16336,plain,
% 54.17/34.34 (((~v116(constB85)) | v115(constB85)) <=> (v115(constB85) | (~v116(constB85)))),
% 54.17/34.34 inference(rewrite,[status(thm)],[])).
% 54.17/34.34 tff(16337,plain,
% 54.17/34.34 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB85)) | v115(constB85))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB85) | (~v116(constB85))))),
% 54.17/34.34 inference(monotonicity,[status(thm)],[16336])).
% 54.17/34.34 tff(16338,plain,
% 54.17/34.34 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB85)) | v115(constB85))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB85) | (~v116(constB85)))),
% 54.17/34.34 inference(transitivity,[status(thm)],[16337, 16335])).
% 54.17/34.34 tff(16339,plain,
% 54.17/34.34 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB85)) | v115(constB85))),
% 54.17/34.34 inference(quant_inst,[status(thm)],[])).
% 54.17/34.34 tff(16340,plain,
% 54.17/34.34 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB85) | (~v116(constB85))),
% 54.17/34.34 inference(modus_ponens,[status(thm)],[16339, 16338])).
% 54.17/34.34 tff(16341,plain,
% 54.17/34.34 ($false),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16340, 1021, 16334, 16316])).
% 54.17/34.34 tff(16342,plain,(v100(constB86) | v90(constB85, 0) | v90(constB86, 1) | v90(constB86, 2)), inference(lemma,lemma(discharge,[]))).
% 54.17/34.34 tff(16343,plain,
% 54.17/34.34 (v100(constB86)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16342, 16270, 16184, 16183])).
% 54.17/34.34 tff(16344,plain,
% 54.17/34.34 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB86, 1) | (~v129(constB86, 1)) | (~v100(constB86)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB86, 1) | (~v129(constB86, 1)) | (~v100(constB86)))),
% 54.17/34.34 inference(rewrite,[status(thm)],[])).
% 54.17/34.34 tff(16345,plain,
% 54.17/34.34 ((v90(constB86, 1) | (~v100(constB86)) | (~v129(constB86, 1))) <=> (v90(constB86, 1) | (~v129(constB86, 1)) | (~v100(constB86)))),
% 54.17/34.34 inference(rewrite,[status(thm)],[])).
% 54.17/34.34 tff(16346,plain,
% 54.17/34.34 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB86, 1) | (~v100(constB86)) | (~v129(constB86, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB86, 1) | (~v129(constB86, 1)) | (~v100(constB86))))),
% 54.17/34.34 inference(monotonicity,[status(thm)],[16345])).
% 54.17/34.34 tff(16347,plain,
% 54.17/34.34 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB86, 1) | (~v100(constB86)) | (~v129(constB86, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB86, 1) | (~v129(constB86, 1)) | (~v100(constB86)))),
% 54.17/34.34 inference(transitivity,[status(thm)],[16346, 16344])).
% 54.17/34.34 tff(16348,plain,
% 54.17/34.34 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB86, 1) | (~v100(constB86)) | (~v129(constB86, 1)))),
% 54.17/34.34 inference(quant_inst,[status(thm)],[])).
% 54.17/34.34 tff(16349,plain,
% 54.17/34.34 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB86, 1) | (~v129(constB86, 1)) | (~v100(constB86))),
% 54.17/34.34 inference(modus_ponens,[status(thm)],[16348, 16347])).
% 54.17/34.34 tff(16350,plain,
% 54.17/34.34 ((~v129(constB86, 1)) | (~v100(constB86))),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16349, 1623, 16184])).
% 54.17/34.34 tff(16351,plain,
% 54.17/34.34 (~v129(constB86, 1)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16350, 16343])).
% 54.17/34.34 tff(16352,plain,
% 54.17/34.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB85, constB86)) | (~v127(constB85, 1)) | v129(constB86, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB85, constB86)) | (~v127(constB85, 1)) | v129(constB86, 1))),
% 54.17/34.34 inference(rewrite,[status(thm)],[])).
% 54.17/34.34 tff(16353,plain,
% 54.17/34.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB85, constB86)) | (~v127(constB85, 1)) | v129(constB86, 1))),
% 54.17/34.34 inference(quant_inst,[status(thm)],[])).
% 54.17/34.34 tff(16354,plain,
% 54.17/34.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB85, constB86)) | (~v127(constB85, 1)) | v129(constB86, 1)),
% 54.17/34.34 inference(modus_ponens,[status(thm)],[16353, 16352])).
% 54.17/34.34 tff(16355,plain,
% 54.17/34.34 ((~v127(constB85, 1)) | v129(constB86, 1)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16354, 1608, 16098])).
% 54.17/34.34 tff(16356,plain,
% 54.17/34.34 (~v127(constB85, 1)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16355, 16351])).
% 54.17/34.34 tff(16357,plain,
% 54.17/34.34 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB85) | (~v130(constB85, 1)) | v127(constB85, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB85) | (~v130(constB85, 1)) | v127(constB85, 1))),
% 54.17/34.34 inference(rewrite,[status(thm)],[])).
% 54.17/34.34 tff(16358,plain,
% 54.17/34.34 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB85) | (~v130(constB85, 1)) | v127(constB85, 1))),
% 54.17/34.34 inference(quant_inst,[status(thm)],[])).
% 54.17/34.34 tff(16359,plain,
% 54.17/34.34 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB85) | (~v130(constB85, 1)) | v127(constB85, 1)),
% 54.17/34.34 inference(modus_ponens,[status(thm)],[16358, 16357])).
% 54.17/34.34 tff(16360,plain,
% 54.17/34.34 ((~v130(constB85, 1)) | v127(constB85, 1)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16359, 1593, 16080])).
% 54.17/34.34 tff(16361,plain,
% 54.17/34.34 (~v130(constB85, 1)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16360, 16356])).
% 54.17/34.34 tff(16362,plain,
% 54.17/34.34 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB85)) | v130(constB85, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB85)) | v130(constB85, 1))),
% 54.17/34.34 inference(rewrite,[status(thm)],[])).
% 54.17/34.34 tff(16363,plain,
% 54.17/34.34 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB85)) | v130(constB85, 1))),
% 54.17/34.34 inference(quant_inst,[status(thm)],[])).
% 54.17/34.34 tff(16364,plain,
% 54.17/34.34 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB85)) | v130(constB85, 1)),
% 54.17/34.34 inference(modus_ponens,[status(thm)],[16363, 16362])).
% 54.17/34.34 tff(16365,plain,
% 54.17/34.34 (~v121(constB85)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16364, 1877, 16361])).
% 54.17/34.34 tff(16366,plain,
% 54.17/34.34 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB86, 2) | (~v129(constB86, 2)) | (~v100(constB86)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB86, 2) | (~v129(constB86, 2)) | (~v100(constB86)))),
% 54.17/34.34 inference(rewrite,[status(thm)],[])).
% 54.17/34.34 tff(16367,plain,
% 54.17/34.34 ((v90(constB86, 2) | (~v100(constB86)) | (~v129(constB86, 2))) <=> (v90(constB86, 2) | (~v129(constB86, 2)) | (~v100(constB86)))),
% 54.17/34.34 inference(rewrite,[status(thm)],[])).
% 54.17/34.34 tff(16368,plain,
% 54.17/34.34 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB86, 2) | (~v100(constB86)) | (~v129(constB86, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB86, 2) | (~v129(constB86, 2)) | (~v100(constB86))))),
% 54.17/34.34 inference(monotonicity,[status(thm)],[16367])).
% 54.17/34.34 tff(16369,plain,
% 54.17/34.34 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB86, 2) | (~v100(constB86)) | (~v129(constB86, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB86, 2) | (~v129(constB86, 2)) | (~v100(constB86)))),
% 54.17/34.34 inference(transitivity,[status(thm)],[16368, 16366])).
% 54.17/34.34 tff(16370,plain,
% 54.17/34.34 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB86, 2) | (~v100(constB86)) | (~v129(constB86, 2)))),
% 54.17/34.34 inference(quant_inst,[status(thm)],[])).
% 54.17/34.34 tff(16371,plain,
% 54.17/34.34 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB86, 2) | (~v129(constB86, 2)) | (~v100(constB86))),
% 54.17/34.34 inference(modus_ponens,[status(thm)],[16370, 16369])).
% 54.17/34.34 tff(16372,plain,
% 54.17/34.34 (~v129(constB86, 2)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16371, 2324, 16343, 16270])).
% 54.17/34.34 tff(16373,plain,
% 54.17/34.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB85, constB86)) | (~v127(constB85, 2)) | v129(constB86, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB85, constB86)) | (~v127(constB85, 2)) | v129(constB86, 2))),
% 54.17/34.34 inference(rewrite,[status(thm)],[])).
% 54.17/34.34 tff(16374,plain,
% 54.17/34.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB85, constB86)) | (~v127(constB85, 2)) | v129(constB86, 2))),
% 54.17/34.34 inference(quant_inst,[status(thm)],[])).
% 54.17/34.34 tff(16375,plain,
% 54.17/34.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB85, constB86)) | (~v127(constB85, 2)) | v129(constB86, 2)),
% 54.17/34.34 inference(modus_ponens,[status(thm)],[16374, 16373])).
% 54.17/34.34 tff(16376,plain,
% 54.17/34.34 ((~v127(constB85, 2)) | v129(constB86, 2)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16375, 1999, 16098])).
% 54.17/34.34 tff(16377,plain,
% 54.17/34.34 (~v127(constB85, 2)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16376, 16372])).
% 54.17/34.34 tff(16378,plain,
% 54.17/34.34 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB85) | (~v130(constB85, 2)) | v127(constB85, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB85) | (~v130(constB85, 2)) | v127(constB85, 2))),
% 54.17/34.34 inference(rewrite,[status(thm)],[])).
% 54.17/34.34 tff(16379,plain,
% 54.17/34.34 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB85) | (~v130(constB85, 2)) | v127(constB85, 2))),
% 54.17/34.34 inference(quant_inst,[status(thm)],[])).
% 54.17/34.34 tff(16380,plain,
% 54.17/34.34 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB85) | (~v130(constB85, 2)) | v127(constB85, 2)),
% 54.17/34.34 inference(modus_ponens,[status(thm)],[16379, 16378])).
% 54.17/34.34 tff(16381,plain,
% 54.17/34.34 ((~v130(constB85, 2)) | v127(constB85, 2)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16380, 1981, 16080])).
% 54.17/34.34 tff(16382,plain,
% 54.17/34.34 (~v130(constB85, 2)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16381, 16377])).
% 54.17/34.34 tff(16383,plain,
% 54.17/34.34 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB85)) | v130(constB85, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB85)) | v130(constB85, 2))),
% 54.17/34.34 inference(rewrite,[status(thm)],[])).
% 54.17/34.34 tff(16384,plain,
% 54.17/34.34 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB85)) | v130(constB85, 2))),
% 54.17/34.34 inference(quant_inst,[status(thm)],[])).
% 54.17/34.34 tff(16385,plain,
% 54.17/34.34 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB85)) | v130(constB85, 2)),
% 54.17/34.34 inference(modus_ponens,[status(thm)],[16384, 16383])).
% 54.17/34.34 tff(16386,plain,
% 54.17/34.34 (~v123(constB85)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16385, 2525, 16382])).
% 54.17/34.34 tff(16387,assumption,(~v90(constB85, 1)), introduced(assumption)).
% 54.17/34.34 tff(16388,plain,
% 54.17/34.34 (~v90(constB84, 1)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16064, 16387])).
% 54.17/34.34 tff(16389,assumption,(~v123(constB85)), introduced(assumption)).
% 54.17/34.34 tff(16390,plain,
% 54.17/34.34 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB85, 0) | v90(constB85, 1) | (~v90(constB85, 2)) | v123(constB85))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB85, 0) | v90(constB85, 1) | (~v90(constB85, 2)) | v123(constB85))),
% 54.17/34.34 inference(rewrite,[status(thm)],[])).
% 54.17/34.34 tff(16391,plain,
% 54.17/34.34 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB85, 0) | v90(constB85, 1) | (~v90(constB85, 2)) | v123(constB85))),
% 54.17/34.34 inference(quant_inst,[status(thm)],[])).
% 54.17/34.34 tff(16392,plain,
% 54.17/34.34 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB85, 0) | v90(constB85, 1) | (~v90(constB85, 2)) | v123(constB85)),
% 54.17/34.34 inference(modus_ponens,[status(thm)],[16391, 16390])).
% 54.17/34.34 tff(16393,plain,
% 54.17/34.34 (v90(constB85, 1) | (~v90(constB85, 2)) | v123(constB85)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16392, 2308, 16183])).
% 54.17/34.34 tff(16394,plain,
% 54.17/34.34 (~v90(constB85, 2)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16393, 16387, 16389])).
% 54.17/34.34 tff(16395,plain,
% 54.17/34.34 (~v90(constB84, 2)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16037, 16394])).
% 54.17/34.34 tff(16396,assumption,(~v90(constB84, 1)), introduced(assumption)).
% 54.17/34.34 tff(16397,plain,
% 54.17/34.34 (v130(constB83, 0)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16225, 16189, 16193, 16204])).
% 54.17/34.34 tff(16398,plain,
% 54.17/34.34 (v127(constB83, 0)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16230, 16397])).
% 54.17/34.34 tff(16399,plain,
% 54.17/34.34 (v129(constB84, 0)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16235, 16398])).
% 54.17/34.34 tff(16400,assumption,(~v90(constB84, 0)), introduced(assumption)).
% 54.17/34.34 tff(16401,plain,
% 54.17/34.34 ((~v129(constB84, 0)) | (~v100(constB84))),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16251, 1377, 16400])).
% 54.17/34.34 tff(16402,plain,
% 54.17/34.34 (~v100(constB84)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16401, 16399])).
% 54.17/34.34 tff(16403,plain,
% 54.17/34.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB83, 1)) | (~nextState(constB83, constB84)) | v100(constB84) | v90(constB84, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB83, 1)) | (~nextState(constB83, constB84)) | v100(constB84) | v90(constB84, 1))),
% 54.17/34.34 inference(rewrite,[status(thm)],[])).
% 54.17/34.34 tff(16404,plain,
% 54.17/34.34 (((~nextState(constB83, constB84)) | (~v90(constB83, 1)) | v100(constB84) | v90(constB84, 1)) <=> ((~v90(constB83, 1)) | (~nextState(constB83, constB84)) | v100(constB84) | v90(constB84, 1))),
% 54.17/34.34 inference(rewrite,[status(thm)],[])).
% 54.17/34.34 tff(16405,plain,
% 54.17/34.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB83, constB84)) | (~v90(constB83, 1)) | v100(constB84) | v90(constB84, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB83, 1)) | (~nextState(constB83, constB84)) | v100(constB84) | v90(constB84, 1)))),
% 54.17/34.34 inference(monotonicity,[status(thm)],[16404])).
% 54.17/34.34 tff(16406,plain,
% 54.17/34.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB83, constB84)) | (~v90(constB83, 1)) | v100(constB84) | v90(constB84, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB83, 1)) | (~nextState(constB83, constB84)) | v100(constB84) | v90(constB84, 1))),
% 54.17/34.34 inference(transitivity,[status(thm)],[16405, 16403])).
% 54.17/34.34 tff(16407,plain,
% 54.17/34.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB83, constB84)) | (~v90(constB83, 1)) | v100(constB84) | v90(constB84, 1))),
% 54.17/34.34 inference(quant_inst,[status(thm)],[])).
% 54.17/34.34 tff(16408,plain,
% 54.17/34.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB83, 1)) | (~nextState(constB83, constB84)) | v100(constB84) | v90(constB84, 1)),
% 54.17/34.34 inference(modus_ponens,[status(thm)],[16407, 16406])).
% 54.17/34.34 tff(16409,plain,
% 54.17/34.34 ((~v90(constB83, 1)) | v100(constB84) | v90(constB84, 1)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16408, 1641, 15908])).
% 54.17/34.34 tff(16410,plain,
% 54.17/34.34 (~v90(constB83, 1)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16409, 16402, 16396])).
% 54.17/34.34 tff(16411,assumption,(~v90(constB84, 2)), introduced(assumption)).
% 54.17/34.34 tff(16412,plain,
% 54.17/34.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB83, 2)) | (~nextState(constB83, constB84)) | v100(constB84) | v90(constB84, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB83, 2)) | (~nextState(constB83, constB84)) | v100(constB84) | v90(constB84, 2))),
% 54.17/34.34 inference(rewrite,[status(thm)],[])).
% 54.17/34.34 tff(16413,plain,
% 54.17/34.34 (((~nextState(constB83, constB84)) | (~v90(constB83, 2)) | v100(constB84) | v90(constB84, 2)) <=> ((~v90(constB83, 2)) | (~nextState(constB83, constB84)) | v100(constB84) | v90(constB84, 2))),
% 54.17/34.34 inference(rewrite,[status(thm)],[])).
% 54.17/34.34 tff(16414,plain,
% 54.17/34.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB83, constB84)) | (~v90(constB83, 2)) | v100(constB84) | v90(constB84, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB83, 2)) | (~nextState(constB83, constB84)) | v100(constB84) | v90(constB84, 2)))),
% 54.17/34.34 inference(monotonicity,[status(thm)],[16413])).
% 54.17/34.34 tff(16415,plain,
% 54.17/34.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB83, constB84)) | (~v90(constB83, 2)) | v100(constB84) | v90(constB84, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB83, 2)) | (~nextState(constB83, constB84)) | v100(constB84) | v90(constB84, 2))),
% 54.17/34.34 inference(transitivity,[status(thm)],[16414, 16412])).
% 54.17/34.34 tff(16416,plain,
% 54.17/34.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB83, constB84)) | (~v90(constB83, 2)) | v100(constB84) | v90(constB84, 2))),
% 54.17/34.34 inference(quant_inst,[status(thm)],[])).
% 54.17/34.34 tff(16417,plain,
% 54.17/34.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB83, 2)) | (~nextState(constB83, constB84)) | v100(constB84) | v90(constB84, 2)),
% 54.17/34.34 inference(modus_ponens,[status(thm)],[16416, 16415])).
% 54.17/34.34 tff(16418,plain,
% 54.17/34.34 ((~v90(constB83, 2)) | v100(constB84) | v90(constB84, 2)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16417, 2174, 15908])).
% 54.17/34.34 tff(16419,plain,
% 54.17/34.34 (~v90(constB83, 2)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16418, 16402, 16411])).
% 54.17/34.34 tff(16420,plain,
% 54.17/34.34 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB83, 0) | v90(constB83, 1) | v90(constB83, 2) | v119(constB83))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB83, 0) | v90(constB83, 1) | v90(constB83, 2) | v119(constB83))),
% 54.17/34.34 inference(rewrite,[status(thm)],[])).
% 54.17/34.34 tff(16421,plain,
% 54.17/34.34 ((v90(constB83, 0) | v119(constB83) | v90(constB83, 1) | v90(constB83, 2)) <=> (v90(constB83, 0) | v90(constB83, 1) | v90(constB83, 2) | v119(constB83))),
% 54.17/34.34 inference(rewrite,[status(thm)],[])).
% 54.17/34.34 tff(16422,plain,
% 54.17/34.34 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB83, 0) | v119(constB83) | v90(constB83, 1) | v90(constB83, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB83, 0) | v90(constB83, 1) | v90(constB83, 2) | v119(constB83)))),
% 54.17/34.34 inference(monotonicity,[status(thm)],[16421])).
% 54.17/34.34 tff(16423,plain,
% 54.17/34.34 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB83, 0) | v119(constB83) | v90(constB83, 1) | v90(constB83, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB83, 0) | v90(constB83, 1) | v90(constB83, 2) | v119(constB83))),
% 54.17/34.34 inference(transitivity,[status(thm)],[16422, 16420])).
% 54.17/34.34 tff(16424,plain,
% 54.17/34.34 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB83, 0) | v119(constB83) | v90(constB83, 1) | v90(constB83, 2))),
% 54.17/34.34 inference(quant_inst,[status(thm)],[])).
% 54.17/34.34 tff(16425,plain,
% 54.17/34.34 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB83, 0) | v90(constB83, 1) | v90(constB83, 2) | v119(constB83)),
% 54.17/34.34 inference(modus_ponens,[status(thm)],[16424, 16423])).
% 54.17/34.34 tff(16426,plain,
% 54.17/34.34 (v90(constB83, 1) | v90(constB83, 2) | v119(constB83)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16425, 968, 16185])).
% 54.17/34.34 tff(16427,plain,
% 54.17/34.34 (v119(constB83)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16426, 16419, 16410])).
% 54.17/34.34 tff(16428,plain,
% 54.17/34.34 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB83)) | v118(constB83))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB83)) | v118(constB83))),
% 54.17/34.34 inference(rewrite,[status(thm)],[])).
% 54.17/34.34 tff(16429,plain,
% 54.17/34.34 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB83)) | v118(constB83))),
% 54.17/34.34 inference(quant_inst,[status(thm)],[])).
% 54.17/34.34 tff(16430,plain,
% 54.17/34.34 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB83)) | v118(constB83)),
% 54.17/34.34 inference(modus_ponens,[status(thm)],[16429, 16428])).
% 54.17/34.34 tff(16431,plain,
% 54.17/34.34 (v118(constB83)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16430, 982, 16427])).
% 54.17/34.34 tff(16432,plain,
% 54.17/34.34 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB83) | (~v118(constB83)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB83) | (~v118(constB83)))),
% 54.17/34.34 inference(rewrite,[status(thm)],[])).
% 54.17/34.34 tff(16433,plain,
% 54.17/34.34 (((~v118(constB83)) | v117(constB83)) <=> (v117(constB83) | (~v118(constB83)))),
% 54.17/34.34 inference(rewrite,[status(thm)],[])).
% 54.17/34.34 tff(16434,plain,
% 54.17/34.34 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB83)) | v117(constB83))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB83) | (~v118(constB83))))),
% 54.17/34.34 inference(monotonicity,[status(thm)],[16433])).
% 54.17/34.34 tff(16435,plain,
% 54.17/34.34 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB83)) | v117(constB83))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB83) | (~v118(constB83)))),
% 54.17/34.34 inference(transitivity,[status(thm)],[16434, 16432])).
% 54.17/34.34 tff(16436,plain,
% 54.17/34.34 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB83)) | v117(constB83))),
% 54.17/34.34 inference(quant_inst,[status(thm)],[])).
% 54.17/34.34 tff(16437,plain,
% 54.17/34.34 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB83) | (~v118(constB83))),
% 54.17/34.34 inference(modus_ponens,[status(thm)],[16436, 16435])).
% 54.17/34.34 tff(16438,plain,
% 54.17/34.34 (v117(constB83)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16437, 993, 16431])).
% 54.17/34.34 tff(16439,plain,
% 54.17/34.34 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB83) | (~v117(constB83)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB83) | (~v117(constB83)))),
% 54.17/34.34 inference(rewrite,[status(thm)],[])).
% 54.17/34.34 tff(16440,plain,
% 54.17/34.34 (((~v117(constB83)) | v116(constB83)) <=> (v116(constB83) | (~v117(constB83)))),
% 54.17/34.34 inference(rewrite,[status(thm)],[])).
% 54.17/34.34 tff(16441,plain,
% 54.17/34.34 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB83)) | v116(constB83))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB83) | (~v117(constB83))))),
% 54.17/34.34 inference(monotonicity,[status(thm)],[16440])).
% 54.17/34.34 tff(16442,plain,
% 54.17/34.34 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB83)) | v116(constB83))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB83) | (~v117(constB83)))),
% 54.17/34.34 inference(transitivity,[status(thm)],[16441, 16439])).
% 54.17/34.34 tff(16443,plain,
% 54.17/34.34 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB83)) | v116(constB83))),
% 54.17/34.34 inference(quant_inst,[status(thm)],[])).
% 54.17/34.34 tff(16444,plain,
% 54.17/34.34 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB83) | (~v117(constB83))),
% 54.17/34.34 inference(modus_ponens,[status(thm)],[16443, 16442])).
% 54.17/34.34 tff(16445,plain,
% 54.17/34.34 (v116(constB83)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16444, 1007, 16438])).
% 54.17/34.34 tff(16446,plain,
% 54.17/34.34 (~v110(constB84)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[15938, 16402])).
% 54.17/34.34 tff(16447,plain,
% 54.17/34.34 (~v108(constB83)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[15915, 16446])).
% 54.17/34.34 tff(16448,plain,
% 54.17/34.34 (~v112(constB83)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[15904, 1075, 16447])).
% 54.17/34.34 tff(16449,plain,
% 54.17/34.34 (~v113(constB83)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[15897, 16448])).
% 54.17/34.34 tff(16450,plain,
% 54.17/34.34 (~v114(constB83)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[15885, 1049, 16449])).
% 54.17/34.34 tff(16451,plain,
% 54.17/34.34 (~v115(constB83)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16264, 1035, 16450])).
% 54.17/34.34 tff(16452,plain,
% 54.17/34.34 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB83) | (~v116(constB83)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB83) | (~v116(constB83)))),
% 54.17/34.34 inference(rewrite,[status(thm)],[])).
% 54.17/34.34 tff(16453,plain,
% 54.17/34.34 (((~v116(constB83)) | v115(constB83)) <=> (v115(constB83) | (~v116(constB83)))),
% 54.17/34.34 inference(rewrite,[status(thm)],[])).
% 54.17/34.34 tff(16454,plain,
% 54.17/34.34 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB83)) | v115(constB83))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB83) | (~v116(constB83))))),
% 54.17/34.34 inference(monotonicity,[status(thm)],[16453])).
% 54.17/34.34 tff(16455,plain,
% 54.17/34.34 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB83)) | v115(constB83))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB83) | (~v116(constB83)))),
% 54.17/34.34 inference(transitivity,[status(thm)],[16454, 16452])).
% 54.17/34.34 tff(16456,plain,
% 54.17/34.34 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB83)) | v115(constB83))),
% 54.17/34.34 inference(quant_inst,[status(thm)],[])).
% 54.17/34.34 tff(16457,plain,
% 54.17/34.34 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB83) | (~v116(constB83))),
% 54.17/34.34 inference(modus_ponens,[status(thm)],[16456, 16455])).
% 54.17/34.34 tff(16458,plain,
% 54.17/34.34 ($false),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16457, 1021, 16451, 16445])).
% 54.17/34.34 tff(16459,plain,(v90(constB83, 0) | v90(constB84, 2) | v90(constB84, 1) | v90(constB84, 0)), inference(lemma,lemma(discharge,[]))).
% 54.17/34.34 tff(16460,plain,
% 54.17/34.34 (v90(constB83, 0)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16459, 16395, 16388, 16245])).
% 54.17/34.34 tff(16461,plain,
% 54.17/34.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB83, 0)) | (~nextState(constB83, constB84)) | v100(constB84) | v90(constB84, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB83, 0)) | (~nextState(constB83, constB84)) | v100(constB84) | v90(constB84, 0))),
% 54.17/34.34 inference(rewrite,[status(thm)],[])).
% 54.17/34.34 tff(16462,plain,
% 54.17/34.34 (((~nextState(constB83, constB84)) | (~v90(constB83, 0)) | v100(constB84) | v90(constB84, 0)) <=> ((~v90(constB83, 0)) | (~nextState(constB83, constB84)) | v100(constB84) | v90(constB84, 0))),
% 54.17/34.34 inference(rewrite,[status(thm)],[])).
% 54.17/34.34 tff(16463,plain,
% 54.17/34.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB83, constB84)) | (~v90(constB83, 0)) | v100(constB84) | v90(constB84, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB83, 0)) | (~nextState(constB83, constB84)) | v100(constB84) | v90(constB84, 0)))),
% 54.17/34.34 inference(monotonicity,[status(thm)],[16462])).
% 54.17/34.34 tff(16464,plain,
% 54.17/34.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB83, constB84)) | (~v90(constB83, 0)) | v100(constB84) | v90(constB84, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB83, 0)) | (~nextState(constB83, constB84)) | v100(constB84) | v90(constB84, 0))),
% 54.17/34.34 inference(transitivity,[status(thm)],[16463, 16461])).
% 54.17/34.34 tff(16465,plain,
% 54.17/34.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB83, constB84)) | (~v90(constB83, 0)) | v100(constB84) | v90(constB84, 0))),
% 54.17/34.34 inference(quant_inst,[status(thm)],[])).
% 54.17/34.34 tff(16466,plain,
% 54.17/34.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB83, 0)) | (~nextState(constB83, constB84)) | v100(constB84) | v90(constB84, 0)),
% 54.17/34.34 inference(modus_ponens,[status(thm)],[16465, 16464])).
% 54.17/34.34 tff(16467,plain,
% 54.17/34.34 ((~v90(constB83, 0)) | v100(constB84) | v90(constB84, 0)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16466, 1395, 15908])).
% 54.17/34.34 tff(16468,plain,
% 54.17/34.34 (v100(constB84)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16467, 16460, 16245])).
% 54.17/34.34 tff(16469,plain,
% 54.17/34.34 ((~v129(constB84, 1)) | (~v100(constB84))),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16054, 1623, 16388])).
% 54.17/34.34 tff(16470,plain,
% 54.17/34.34 (~v129(constB84, 1)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16469, 16468])).
% 54.17/34.34 tff(16471,plain,
% 54.17/34.34 (~v127(constB83, 1)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16047, 16470])).
% 54.17/34.34 tff(16472,plain,
% 54.17/34.34 (~v130(constB83, 1)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16042, 16471])).
% 54.17/34.34 tff(16473,plain,
% 54.17/34.34 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB83)) | v130(constB83, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB83)) | v130(constB83, 1))),
% 54.17/34.34 inference(rewrite,[status(thm)],[])).
% 54.17/34.34 tff(16474,plain,
% 54.17/34.34 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB83)) | v130(constB83, 1))),
% 54.17/34.34 inference(quant_inst,[status(thm)],[])).
% 54.17/34.34 tff(16475,plain,
% 54.17/34.34 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB83)) | v130(constB83, 1)),
% 54.17/34.34 inference(modus_ponens,[status(thm)],[16474, 16473])).
% 54.17/34.34 tff(16476,plain,
% 54.17/34.34 (~v120(constB83)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16475, 1579, 16472])).
% 54.17/34.34 tff(16477,plain,
% 54.17/34.34 (~v124(constB83)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16002, 2808, 16472])).
% 54.17/34.34 tff(16478,plain,
% 54.17/34.34 ((~v129(constB84, 2)) | (~v100(constB84))),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16027, 2324, 16395])).
% 54.17/34.34 tff(16479,plain,
% 54.17/34.34 (~v129(constB84, 2)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16478, 16468])).
% 54.17/34.34 tff(16480,plain,
% 54.17/34.34 (~v127(constB83, 2)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16020, 16479])).
% 54.17/34.34 tff(16481,plain,
% 54.17/34.34 (~v130(constB83, 2)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16015, 16480])).
% 54.17/34.34 tff(16482,plain,
% 54.17/34.34 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB83)) | v130(constB83, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB83)) | v130(constB83, 2))),
% 54.17/34.34 inference(rewrite,[status(thm)],[])).
% 54.17/34.34 tff(16483,plain,
% 54.17/34.34 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB83)) | v130(constB83, 2))),
% 54.17/34.34 inference(quant_inst,[status(thm)],[])).
% 54.17/34.34 tff(16484,plain,
% 54.17/34.34 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB83)) | v130(constB83, 2)),
% 54.17/34.34 inference(modus_ponens,[status(thm)],[16483, 16482])).
% 54.17/34.34 tff(16485,plain,
% 54.17/34.34 (~v122(constB83)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16484, 1967, 16481])).
% 54.17/34.34 tff(16486,plain,
% 54.17/34.34 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v119(constB83)) | (~v90(constB83, 0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | (~v119(constB83)) | (~v90(constB83, 0)))),
% 54.17/34.34 inference(rewrite,[status(thm)],[])).
% 54.17/34.34 tff(16487,plain,
% 54.17/34.34 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v119(constB83)) | (~v90(constB83, 0)))),
% 54.17/34.34 inference(quant_inst,[status(thm)],[])).
% 54.17/34.34 tff(16488,plain,
% 54.17/34.34 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | (~v119(constB83)) | (~v90(constB83, 0))),
% 54.17/34.34 inference(modus_ponens,[status(thm)],[16487, 16486])).
% 54.17/34.34 tff(16489,plain,
% 54.17/34.34 (~v119(constB83)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16488, 5865, 16460])).
% 54.17/34.34 tff(16490,plain,
% 54.17/34.34 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v121(constB83)) | (~v90(constB83, 0)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | (~v121(constB83)) | (~v90(constB83, 0)))),
% 54.17/34.34 inference(rewrite,[status(thm)],[])).
% 54.17/34.34 tff(16491,plain,
% 54.17/34.34 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v121(constB83)) | (~v90(constB83, 0)))),
% 54.17/34.34 inference(quant_inst,[status(thm)],[])).
% 54.17/34.34 tff(16492,plain,
% 54.17/34.34 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | (~v121(constB83)) | (~v90(constB83, 0))),
% 54.17/34.34 inference(modus_ponens,[status(thm)],[16491, 16490])).
% 54.17/34.34 tff(16493,plain,
% 54.17/34.34 (~v121(constB83)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16492, 5876, 16460])).
% 54.17/34.34 tff(16494,plain,
% 54.17/34.34 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v123(constB83)) | (~v90(constB83, 0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | (~v123(constB83)) | (~v90(constB83, 0)))),
% 54.17/34.34 inference(rewrite,[status(thm)],[])).
% 54.17/34.34 tff(16495,plain,
% 54.17/34.34 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v123(constB83)) | (~v90(constB83, 0)))),
% 54.17/34.34 inference(quant_inst,[status(thm)],[])).
% 54.17/34.34 tff(16496,plain,
% 54.17/34.34 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | (~v123(constB83)) | (~v90(constB83, 0))),
% 54.17/34.34 inference(modus_ponens,[status(thm)],[16495, 16494])).
% 54.17/34.34 tff(16497,plain,
% 54.17/34.34 (~v123(constB83)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16496, 5887, 16460])).
% 54.17/34.34 tff(16498,plain,
% 54.17/34.34 (~v129(constB84, 0)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16252, 16468])).
% 54.17/34.34 tff(16499,plain,
% 54.17/34.34 (~v127(constB83, 0)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16235, 16498])).
% 54.17/34.34 tff(16500,plain,
% 54.17/34.34 (~v130(constB83, 0)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16230, 16499])).
% 54.17/34.34 tff(16501,plain,
% 54.17/34.34 (v120(constB83) | v122(constB83) | v124(constB83)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16222, 3413, 16500, 16497, 16493, 16489])).
% 54.17/34.34 tff(16502,plain,
% 54.17/34.34 ($false),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16501, 16485, 16477, 16476])).
% 54.17/34.34 tff(16503,plain,(v90(constB85, 1) | v123(constB85) | v90(constB85, 0)), inference(lemma,lemma(discharge,[]))).
% 54.17/34.34 tff(16504,plain,
% 54.17/34.34 (v90(constB85, 1)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16503, 16386, 16183])).
% 54.17/34.34 tff(16505,plain,
% 54.17/34.34 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB85, 0) | (~v90(constB85, 1)) | v90(constB85, 2) | v121(constB85))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB85, 0) | (~v90(constB85, 1)) | v90(constB85, 2) | v121(constB85))),
% 54.17/34.34 inference(rewrite,[status(thm)],[])).
% 54.17/34.34 tff(16506,plain,
% 54.17/34.34 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB85, 0) | (~v90(constB85, 1)) | v90(constB85, 2) | v121(constB85))),
% 54.17/34.34 inference(quant_inst,[status(thm)],[])).
% 54.17/34.34 tff(16507,plain,
% 54.17/34.34 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB85, 0) | (~v90(constB85, 1)) | v90(constB85, 2) | v121(constB85)),
% 54.17/34.34 inference(modus_ponens,[status(thm)],[16506, 16505])).
% 54.17/34.34 tff(16508,plain,
% 54.17/34.34 ((~v90(constB85, 1)) | v90(constB85, 2) | v121(constB85)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16507, 1731, 16183])).
% 54.17/34.34 tff(16509,plain,
% 54.17/34.34 (v90(constB85, 2)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16508, 16504, 16365])).
% 54.17/34.34 tff(16510,plain,
% 54.17/34.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB84, 1) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB84, 1) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, 1)))),
% 54.17/34.34 inference(rewrite,[status(thm)],[])).
% 54.17/34.34 tff(16511,plain,
% 54.17/34.34 (((~nextState(constB84, constB85)) | v90(constB84, 1) | v100(constB85) | (~v90(constB85, 1))) <=> (v90(constB84, 1) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, 1)))),
% 54.17/34.34 inference(rewrite,[status(thm)],[])).
% 54.17/34.34 tff(16512,plain,
% 54.17/34.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB84, constB85)) | v90(constB84, 1) | v100(constB85) | (~v90(constB85, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB84, 1) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, 1))))),
% 54.17/34.34 inference(monotonicity,[status(thm)],[16511])).
% 54.17/34.34 tff(16513,plain,
% 54.17/34.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB84, constB85)) | v90(constB84, 1) | v100(constB85) | (~v90(constB85, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB84, 1) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, 1)))),
% 54.17/34.34 inference(transitivity,[status(thm)],[16512, 16510])).
% 54.17/34.34 tff(16514,plain,
% 54.17/34.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB84, constB85)) | v90(constB84, 1) | v100(constB85) | (~v90(constB85, 1)))),
% 54.17/34.34 inference(quant_inst,[status(thm)],[])).
% 54.17/34.34 tff(16515,plain,
% 54.17/34.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB84, 1) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, 1))),
% 54.17/34.34 inference(modus_ponens,[status(thm)],[16514, 16513])).
% 54.17/34.34 tff(16516,plain,
% 54.17/34.34 (v90(constB84, 1) | v100(constB85) | (~v90(constB85, 1))),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16515, 926, 15978])).
% 54.17/34.34 tff(16517,plain,
% 54.17/34.34 (v90(constB84, 1) | (~v90(constB85, 1))),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16516, 15990])).
% 54.17/34.34 tff(16518,plain,
% 54.17/34.34 (v90(constB84, 1)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16517, 16504])).
% 54.17/34.34 tff(16519,assumption,(v90(constB84, 1)), introduced(assumption)).
% 54.17/34.34 tff(16520,plain,
% 54.17/34.34 (~v100(constB84)),
% 54.17/34.34 inference(unit_resolution,[status(thm)],[16401, 16236])).
% 54.17/34.34 tff(16521,plain,
% 54.17/34.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB83, 1) | (~nextState(constB83, constB84)) | v100(constB84) | (~v90(constB84, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB83, 1) | (~nextState(constB83, constB84)) | v100(constB84) | (~v90(constB84, 1)))),
% 54.17/34.34 inference(rewrite,[status(thm)],[])).
% 54.17/34.34 tff(16522,plain,
% 54.17/34.34 (((~nextState(constB83, constB84)) | v90(constB83, 1) | v100(constB84) | (~v90(constB84, 1))) <=> (v90(constB83, 1) | (~nextState(constB83, constB84)) | v100(constB84) | (~v90(constB84, 1)))),
% 54.17/34.34 inference(rewrite,[status(thm)],[])).
% 54.17/34.34 tff(16523,plain,
% 54.17/34.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB83, constB84)) | v90(constB83, 1) | v100(constB84) | (~v90(constB84, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB83, 1) | (~nextState(constB83, constB84)) | v100(constB84) | (~v90(constB84, 1))))),
% 54.17/34.34 inference(monotonicity,[status(thm)],[16522])).
% 54.17/34.34 tff(16524,plain,
% 54.17/34.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB83, constB84)) | v90(constB83, 1) | v100(constB84) | (~v90(constB84, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB83, 1) | (~nextState(constB83, constB84)) | v100(constB84) | (~v90(constB84, 1)))),
% 54.17/34.34 inference(transitivity,[status(thm)],[16523, 16521])).
% 54.17/34.34 tff(16525,plain,
% 54.17/34.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB83, constB84)) | v90(constB83, 1) | v100(constB84) | (~v90(constB84, 1)))),
% 54.17/34.35 inference(quant_inst,[status(thm)],[])).
% 54.17/34.35 tff(16526,plain,
% 54.17/34.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB83, 1) | (~nextState(constB83, constB84)) | v100(constB84) | (~v90(constB84, 1))),
% 54.17/34.35 inference(modus_ponens,[status(thm)],[16525, 16524])).
% 54.17/34.35 tff(16527,plain,
% 54.17/34.35 (v90(constB83, 1) | v100(constB84) | (~v90(constB84, 1))),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16526, 926, 15908])).
% 54.17/34.35 tff(16528,plain,
% 54.17/34.35 (v90(constB83, 1)),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16527, 16520, 16519])).
% 54.17/34.35 tff(16529,assumption,(v90(constB84, 2)), introduced(assumption)).
% 54.17/34.35 tff(16530,plain,
% 54.17/34.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB83, 2) | (~nextState(constB83, constB84)) | v100(constB84) | (~v90(constB84, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB83, 2) | (~nextState(constB83, constB84)) | v100(constB84) | (~v90(constB84, 2)))),
% 54.17/34.35 inference(rewrite,[status(thm)],[])).
% 54.17/34.35 tff(16531,plain,
% 54.17/34.35 (((~nextState(constB83, constB84)) | v90(constB83, 2) | v100(constB84) | (~v90(constB84, 2))) <=> (v90(constB83, 2) | (~nextState(constB83, constB84)) | v100(constB84) | (~v90(constB84, 2)))),
% 54.17/34.35 inference(rewrite,[status(thm)],[])).
% 54.17/34.35 tff(16532,plain,
% 54.17/34.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB83, constB84)) | v90(constB83, 2) | v100(constB84) | (~v90(constB84, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB83, 2) | (~nextState(constB83, constB84)) | v100(constB84) | (~v90(constB84, 2))))),
% 54.17/34.35 inference(monotonicity,[status(thm)],[16531])).
% 54.17/34.35 tff(16533,plain,
% 54.17/34.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB83, constB84)) | v90(constB83, 2) | v100(constB84) | (~v90(constB84, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB83, 2) | (~nextState(constB83, constB84)) | v100(constB84) | (~v90(constB84, 2)))),
% 54.17/34.35 inference(transitivity,[status(thm)],[16532, 16530])).
% 54.17/34.35 tff(16534,plain,
% 54.17/34.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB83, constB84)) | v90(constB83, 2) | v100(constB84) | (~v90(constB84, 2)))),
% 54.17/34.35 inference(quant_inst,[status(thm)],[])).
% 54.17/34.35 tff(16535,plain,
% 54.17/34.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB83, 2) | (~nextState(constB83, constB84)) | v100(constB84) | (~v90(constB84, 2))),
% 54.17/34.35 inference(modus_ponens,[status(thm)],[16534, 16533])).
% 54.17/34.35 tff(16536,plain,
% 54.17/34.35 (v90(constB83, 2) | v100(constB84) | (~v90(constB84, 2))),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16535, 905, 15908])).
% 54.17/34.35 tff(16537,plain,
% 54.17/34.35 (v90(constB83, 2)),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16536, 16520, 16529])).
% 54.17/34.35 tff(16538,plain,
% 54.17/34.35 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB83, 0) | (~v90(constB83, 1)) | (~v90(constB83, 2)) | v125(constB83))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB83, 0) | (~v90(constB83, 1)) | (~v90(constB83, 2)) | v125(constB83))),
% 54.17/34.35 inference(rewrite,[status(thm)],[])).
% 54.17/34.35 tff(16539,plain,
% 54.17/34.35 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB83, 0) | (~v90(constB83, 1)) | (~v90(constB83, 2)) | v125(constB83))),
% 54.17/34.35 inference(quant_inst,[status(thm)],[])).
% 54.17/34.35 tff(16540,plain,
% 54.17/34.35 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB83, 0) | (~v90(constB83, 1)) | (~v90(constB83, 2)) | v125(constB83)),
% 54.17/34.35 inference(modus_ponens,[status(thm)],[16539, 16538])).
% 54.17/34.35 tff(16541,plain,
% 54.17/34.35 ((~v90(constB83, 1)) | (~v90(constB83, 2)) | v125(constB83)),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16540, 2279, 16185])).
% 54.17/34.35 tff(16542,plain,
% 54.17/34.35 (v125(constB83)),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16541, 16537, 16528])).
% 54.17/34.35 tff(16543,plain,
% 54.17/34.35 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB83) | (~v125(constB83)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB83) | (~v125(constB83)))),
% 54.17/34.35 inference(rewrite,[status(thm)],[])).
% 54.17/34.35 tff(16544,plain,
% 54.17/34.35 (((~v125(constB83)) | v113(constB83)) <=> (v113(constB83) | (~v125(constB83)))),
% 54.17/34.35 inference(rewrite,[status(thm)],[])).
% 54.17/34.35 tff(16545,plain,
% 54.17/34.35 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB83)) | v113(constB83))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB83) | (~v125(constB83))))),
% 54.17/34.35 inference(monotonicity,[status(thm)],[16544])).
% 54.17/34.35 tff(16546,plain,
% 54.17/34.35 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB83)) | v113(constB83))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB83) | (~v125(constB83)))),
% 54.17/34.35 inference(transitivity,[status(thm)],[16545, 16543])).
% 54.17/34.35 tff(16547,plain,
% 54.17/34.35 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB83)) | v113(constB83))),
% 54.17/34.35 inference(quant_inst,[status(thm)],[])).
% 54.17/34.35 tff(16548,plain,
% 54.17/34.35 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB83) | (~v125(constB83))),
% 54.17/34.35 inference(modus_ponens,[status(thm)],[16547, 16546])).
% 54.17/34.35 tff(16549,plain,
% 54.17/34.35 (v113(constB83)),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16548, 2262, 16542])).
% 54.17/34.35 tff(16550,plain,
% 54.17/34.35 (~v110(constB84)),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[15938, 16520])).
% 54.17/34.35 tff(16551,plain,
% 54.17/34.35 (~v108(constB83)),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[15915, 16550])).
% 54.17/34.35 tff(16552,plain,
% 54.17/34.35 (~v112(constB83)),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[15904, 1075, 16551])).
% 54.17/34.35 tff(16553,plain,
% 54.17/34.35 ($false),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[15897, 16552, 16549])).
% 54.17/34.35 tff(16554,plain,(v90(constB83, 0) | (~v90(constB84, 2)) | (~v90(constB84, 1)) | v90(constB84, 0)), inference(lemma,lemma(discharge,[]))).
% 54.17/34.35 tff(16555,plain,
% 54.17/34.35 (~v90(constB84, 2)),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16554, 16518, 16185, 16245])).
% 54.17/34.35 tff(16556,plain,
% 54.17/34.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB84, 2) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB84, 2) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, 2)))),
% 54.17/34.35 inference(rewrite,[status(thm)],[])).
% 54.17/34.35 tff(16557,plain,
% 54.17/34.35 (((~nextState(constB84, constB85)) | v90(constB84, 2) | v100(constB85) | (~v90(constB85, 2))) <=> (v90(constB84, 2) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, 2)))),
% 54.17/34.35 inference(rewrite,[status(thm)],[])).
% 54.17/34.35 tff(16558,plain,
% 54.17/34.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB84, constB85)) | v90(constB84, 2) | v100(constB85) | (~v90(constB85, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB84, 2) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, 2))))),
% 54.17/34.35 inference(monotonicity,[status(thm)],[16557])).
% 54.17/34.35 tff(16559,plain,
% 54.17/34.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB84, constB85)) | v90(constB84, 2) | v100(constB85) | (~v90(constB85, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB84, 2) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, 2)))),
% 54.17/34.35 inference(transitivity,[status(thm)],[16558, 16556])).
% 54.17/34.35 tff(16560,plain,
% 54.17/34.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB84, constB85)) | v90(constB84, 2) | v100(constB85) | (~v90(constB85, 2)))),
% 54.17/34.35 inference(quant_inst,[status(thm)],[])).
% 54.17/34.35 tff(16561,plain,
% 54.17/34.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB84, 2) | (~nextState(constB84, constB85)) | v100(constB85) | (~v90(constB85, 2))),
% 54.17/34.35 inference(modus_ponens,[status(thm)],[16560, 16559])).
% 54.17/34.35 tff(16562,plain,
% 54.17/34.35 (v90(constB84, 2) | v100(constB85) | (~v90(constB85, 2))),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16561, 905, 15978])).
% 54.17/34.35 tff(16563,plain,
% 54.17/34.35 (v90(constB84, 2) | (~v90(constB85, 2))),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16562, 15990])).
% 54.17/34.35 tff(16564,plain,
% 54.17/34.35 ($false),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16563, 16555, 16509])).
% 54.17/34.35 tff(16565,plain,(v90(constB86, 2) | v90(constB83, 0) | v90(constB85, 0) | v90(constB86, 1)), inference(lemma,lemma(discharge,[]))).
% 54.17/34.35 tff(16566,plain,
% 54.17/34.35 (v90(constB86, 2)),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16565, 16185, 16183, 16184])).
% 54.17/34.35 tff(16567,assumption,(~v127(constB85, 2)), introduced(assumption)).
% 54.17/34.35 tff(16568,assumption,(~v26(constB85)), introduced(assumption)).
% 54.17/34.35 tff(16569,plain,
% 54.17/34.35 ((~v130(constB85, 2)) | v127(constB85, 2)),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16380, 1981, 16568])).
% 54.17/34.35 tff(16570,plain,
% 54.17/34.35 (~v130(constB85, 2)),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16569, 16567])).
% 54.17/34.35 tff(16571,assumption,(v90(constB86, 2)), introduced(assumption)).
% 54.17/34.35 tff(16572,plain,
% 54.17/34.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB85, constB86)) | v127(constB85, 2) | (~v129(constB86, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB85, constB86)) | v127(constB85, 2) | (~v129(constB86, 2)))),
% 54.17/34.35 inference(rewrite,[status(thm)],[])).
% 54.17/34.35 tff(16573,plain,
% 54.17/34.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB85, constB86)) | v127(constB85, 2) | (~v129(constB86, 2)))),
% 54.17/34.35 inference(quant_inst,[status(thm)],[])).
% 54.17/34.35 tff(16574,plain,
% 54.17/34.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB85, constB86)) | v127(constB85, 2) | (~v129(constB86, 2))),
% 54.17/34.35 inference(modus_ponens,[status(thm)],[16573, 16572])).
% 54.17/34.35 tff(16575,plain,
% 54.17/34.35 (v127(constB85, 2) | (~v129(constB86, 2))),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16574, 1208, 16098])).
% 54.17/34.35 tff(16576,plain,
% 54.17/34.35 (~v129(constB86, 2)),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16575, 16567])).
% 54.17/34.35 tff(16577,plain,
% 54.17/34.35 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB86, 2)) | v129(constB86, 2) | (~v100(constB86)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB86, 2)) | v129(constB86, 2) | (~v100(constB86)))),
% 54.17/34.35 inference(rewrite,[status(thm)],[])).
% 54.17/34.35 tff(16578,plain,
% 54.17/34.35 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB86, 2)) | v129(constB86, 2) | (~v100(constB86)))),
% 54.17/34.35 inference(quant_inst,[status(thm)],[])).
% 54.17/34.35 tff(16579,plain,
% 54.17/34.35 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB86, 2)) | v129(constB86, 2) | (~v100(constB86))),
% 54.17/34.35 inference(modus_ponens,[status(thm)],[16578, 16577])).
% 54.17/34.35 tff(16580,plain,
% 54.17/34.35 (v129(constB86, 2) | (~v100(constB86))),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16579, 1223, 16571])).
% 54.17/34.35 tff(16581,plain,
% 54.17/34.35 (~v100(constB86)),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16580, 16576])).
% 54.17/34.35 tff(16582,plain,
% 54.17/34.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB85, 2) | (~nextState(constB85, constB86)) | v100(constB86) | (~v90(constB86, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB85, 2) | (~nextState(constB85, constB86)) | v100(constB86) | (~v90(constB86, 2)))),
% 54.17/34.35 inference(rewrite,[status(thm)],[])).
% 54.17/34.35 tff(16583,plain,
% 54.17/34.35 (((~nextState(constB85, constB86)) | v90(constB85, 2) | v100(constB86) | (~v90(constB86, 2))) <=> (v90(constB85, 2) | (~nextState(constB85, constB86)) | v100(constB86) | (~v90(constB86, 2)))),
% 54.17/34.35 inference(rewrite,[status(thm)],[])).
% 54.17/34.35 tff(16584,plain,
% 54.17/34.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB85, constB86)) | v90(constB85, 2) | v100(constB86) | (~v90(constB86, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB85, 2) | (~nextState(constB85, constB86)) | v100(constB86) | (~v90(constB86, 2))))),
% 54.17/34.35 inference(monotonicity,[status(thm)],[16583])).
% 54.17/34.35 tff(16585,plain,
% 54.17/34.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB85, constB86)) | v90(constB85, 2) | v100(constB86) | (~v90(constB86, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB85, 2) | (~nextState(constB85, constB86)) | v100(constB86) | (~v90(constB86, 2)))),
% 54.17/34.35 inference(transitivity,[status(thm)],[16584, 16582])).
% 54.17/34.35 tff(16586,plain,
% 54.17/34.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB85, constB86)) | v90(constB85, 2) | v100(constB86) | (~v90(constB86, 2)))),
% 54.17/34.35 inference(quant_inst,[status(thm)],[])).
% 54.17/34.35 tff(16587,plain,
% 54.17/34.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB85, 2) | (~nextState(constB85, constB86)) | v100(constB86) | (~v90(constB86, 2))),
% 54.17/34.35 inference(modus_ponens,[status(thm)],[16586, 16585])).
% 54.17/34.35 tff(16588,plain,
% 54.17/34.35 (v90(constB85, 2) | v100(constB86) | (~v90(constB86, 2))),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16587, 905, 16098])).
% 54.17/34.35 tff(16589,plain,
% 54.17/34.35 (v90(constB85, 2)),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16588, 16581, 16571])).
% 54.17/34.35 tff(16590,plain,
% 54.17/34.35 (~v90(constB85, 1)),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16286, 16581, 16184])).
% 54.17/34.35 tff(16591,plain,
% 54.17/34.35 (v123(constB85)),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16393, 16590, 16589])).
% 54.17/34.35 tff(16592,plain,
% 54.17/34.35 ($false),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16385, 2525, 16591, 16570])).
% 54.17/34.35 tff(16593,plain,(v127(constB85, 2) | v90(constB85, 0) | v90(constB86, 1) | (~v90(constB86, 2)) | v26(constB85)), inference(lemma,lemma(discharge,[]))).
% 54.17/34.35 tff(16594,plain,
% 54.17/34.35 (v127(constB85, 2) | v90(constB85, 0) | v90(constB86, 1) | (~v90(constB86, 2))),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16593, 16080])).
% 54.17/34.35 tff(16595,plain,
% 54.17/34.35 (v127(constB85, 2)),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16594, 16566, 16184, 16183])).
% 54.17/34.35 tff(16596,plain,
% 54.17/34.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB85, 2)) | v26(constB85) | v130(constB85, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB85, 2)) | v26(constB85) | v130(constB85, 2))),
% 54.17/34.35 inference(rewrite,[status(thm)],[])).
% 54.17/34.35 tff(16597,plain,
% 54.17/34.35 ((v26(constB85) | v130(constB85, 2) | (~v127(constB85, 2))) <=> ((~v127(constB85, 2)) | v26(constB85) | v130(constB85, 2))),
% 54.17/34.35 inference(rewrite,[status(thm)],[])).
% 54.17/34.35 tff(16598,plain,
% 54.17/34.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB85) | v130(constB85, 2) | (~v127(constB85, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB85, 2)) | v26(constB85) | v130(constB85, 2)))),
% 54.17/34.35 inference(monotonicity,[status(thm)],[16597])).
% 54.17/34.35 tff(16599,plain,
% 54.17/34.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB85) | v130(constB85, 2) | (~v127(constB85, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB85, 2)) | v26(constB85) | v130(constB85, 2))),
% 54.17/34.35 inference(transitivity,[status(thm)],[16598, 16596])).
% 54.17/34.35 tff(16600,plain,
% 54.17/34.35 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB85) | v130(constB85, 2) | (~v127(constB85, 2)))),
% 54.17/34.35 inference(quant_inst,[status(thm)],[])).
% 54.17/34.35 tff(16601,plain,
% 54.17/34.35 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB85, 2)) | v26(constB85) | v130(constB85, 2)),
% 54.17/34.35 inference(modus_ponens,[status(thm)],[16600, 16599])).
% 54.17/34.35 tff(16602,plain,
% 54.17/34.35 ((~v127(constB85, 2)) | v130(constB85, 2)),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16601, 1190, 16080])).
% 54.17/34.35 tff(16603,plain,
% 54.17/34.35 (v130(constB85, 2)),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16602, 16595])).
% 54.17/34.35 tff(16604,plain,
% 54.17/34.35 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB85)) | (~v130(constB85, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB85)) | (~v130(constB85, 2)))),
% 54.17/34.35 inference(rewrite,[status(thm)],[])).
% 54.17/34.35 tff(16605,plain,
% 54.17/34.35 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB85)) | (~v130(constB85, 2)))),
% 54.17/34.35 inference(quant_inst,[status(thm)],[])).
% 54.17/34.35 tff(16606,plain,
% 54.17/34.35 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB85)) | (~v130(constB85, 2))),
% 54.17/34.35 inference(modus_ponens,[status(thm)],[16605, 16604])).
% 54.17/34.35 tff(16607,plain,
% 54.17/34.35 (~v119(constB85)),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16606, 1176, 16603])).
% 54.17/34.35 tff(16608,plain,
% 54.17/34.35 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB85)) | (~v130(constB85, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB85)) | (~v130(constB85, 2)))),
% 54.17/34.35 inference(rewrite,[status(thm)],[])).
% 54.17/34.35 tff(16609,plain,
% 54.17/34.35 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB85)) | (~v130(constB85, 2)))),
% 54.17/34.35 inference(quant_inst,[status(thm)],[])).
% 54.17/34.35 tff(16610,plain,
% 54.17/34.35 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB85)) | (~v130(constB85, 2))),
% 54.17/34.35 inference(modus_ponens,[status(thm)],[16609, 16608])).
% 54.17/34.35 tff(16611,plain,
% 54.17/34.35 (~v121(constB85)),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16610, 1821, 16603])).
% 54.17/34.35 tff(16612,plain,
% 54.17/34.35 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | ((~v120(constB85)) | v90(constB85, 0))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | (~v120(constB85)) | v90(constB85, 0))),
% 54.17/34.35 inference(rewrite,[status(thm)],[])).
% 54.17/34.35 tff(16613,plain,
% 54.17/34.35 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | ((~v120(constB85)) | v90(constB85, 0))),
% 54.17/34.35 inference(quant_inst,[status(thm)],[])).
% 54.17/34.35 tff(16614,plain,
% 54.17/34.35 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | (~v120(constB85)) | v90(constB85, 0)),
% 54.17/34.35 inference(modus_ponens,[status(thm)],[16613, 16612])).
% 54.17/34.35 tff(16615,plain,
% 54.17/34.35 (~v120(constB85)),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16614, 16200, 16183])).
% 54.17/34.35 tff(16616,plain,
% 54.17/34.35 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | ((~v122(constB85)) | v90(constB85, 0))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | (~v122(constB85)) | v90(constB85, 0))),
% 54.17/34.35 inference(rewrite,[status(thm)],[])).
% 54.17/34.35 tff(16617,plain,
% 54.17/34.35 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | ((~v122(constB85)) | v90(constB85, 0))),
% 54.17/34.35 inference(quant_inst,[status(thm)],[])).
% 54.17/34.35 tff(16618,plain,
% 54.17/34.35 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | (~v122(constB85)) | v90(constB85, 0)),
% 54.17/34.35 inference(modus_ponens,[status(thm)],[16617, 16616])).
% 54.17/34.35 tff(16619,plain,
% 54.17/34.35 (~v122(constB85)),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16618, 6851, 16183])).
% 54.17/34.35 tff(16620,plain,
% 54.17/34.35 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB85)) | v90(constB85, 0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB85)) | v90(constB85, 0))),
% 54.17/34.35 inference(rewrite,[status(thm)],[])).
% 54.17/34.35 tff(16621,plain,
% 54.17/34.35 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB85)) | v90(constB85, 0))),
% 54.17/34.35 inference(quant_inst,[status(thm)],[])).
% 54.17/34.35 tff(16622,plain,
% 54.17/34.35 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB85)) | v90(constB85, 0)),
% 54.17/34.35 inference(modus_ponens,[status(thm)],[16621, 16620])).
% 54.17/34.35 tff(16623,plain,
% 54.17/34.35 (~v124(constB85)),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16622, 6692, 16183])).
% 54.17/34.35 tff(16624,plain,
% 54.17/34.35 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, 2)))),
% 54.17/34.35 inference(rewrite,[status(thm)],[])).
% 54.17/34.35 tff(16625,plain,
% 54.17/34.35 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, 2)))),
% 54.17/34.35 inference(quant_inst,[status(thm)],[])).
% 54.17/34.35 tff(16626,plain,
% 54.17/34.35 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | (~v130(constB85, 2))),
% 54.17/34.35 inference(modus_ponens,[status(thm)],[16625, 16624])).
% 54.17/34.35 tff(16627,plain,
% 54.17/34.35 (v119(constB85) | v121(constB85) | v123(constB85) | (~v130(constB85, 2))),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16626, 2904, 16623, 16619, 16615])).
% 54.17/34.35 tff(16628,plain,
% 54.17/34.35 (v123(constB85)),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16627, 16611, 16603, 16607])).
% 54.17/34.35 tff(16629,plain,
% 54.17/34.35 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | ((~v123(constB85)) | v90(constB85, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | (~v123(constB85)) | v90(constB85, 2))),
% 54.17/34.35 inference(rewrite,[status(thm)],[])).
% 54.17/34.35 tff(16630,plain,
% 54.17/34.35 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | ((~v123(constB85)) | v90(constB85, 2))),
% 54.17/34.35 inference(quant_inst,[status(thm)],[])).
% 54.17/34.35 tff(16631,plain,
% 54.17/34.35 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | (~v123(constB85)) | v90(constB85, 2)),
% 54.17/34.35 inference(modus_ponens,[status(thm)],[16630, 16629])).
% 54.17/34.35 tff(16632,plain,
% 54.17/34.35 (v90(constB85, 2)),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16631, 3763, 16628])).
% 54.17/34.35 tff(16633,plain,
% 54.17/34.35 (v90(constB84, 2)),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16563, 16632])).
% 54.17/34.35 tff(16634,plain,
% 54.17/34.35 (v90(constB83, 2)),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16536, 16633, 16253])).
% 54.17/34.35 tff(16635,plain,
% 54.17/34.35 (~v90(constB85, 1)),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16151, 2879, 16628])).
% 54.17/34.35 tff(16636,plain,
% 54.17/34.35 (~v90(constB84, 1)),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16064, 16635])).
% 54.17/34.35 tff(16637,plain,
% 54.17/34.35 (~v90(constB83, 1)),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16409, 16636, 16253])).
% 54.17/34.35 tff(16638,plain,
% 54.17/34.35 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB83, 0) | v90(constB83, 1) | (~v90(constB83, 2)) | v123(constB83))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB83, 0) | v90(constB83, 1) | (~v90(constB83, 2)) | v123(constB83))),
% 54.17/34.35 inference(rewrite,[status(thm)],[])).
% 54.17/34.35 tff(16639,plain,
% 54.17/34.35 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB83, 0) | v90(constB83, 1) | (~v90(constB83, 2)) | v123(constB83))),
% 54.17/34.35 inference(quant_inst,[status(thm)],[])).
% 54.17/34.35 tff(16640,plain,
% 54.17/34.35 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB83, 0) | v90(constB83, 1) | (~v90(constB83, 2)) | v123(constB83)),
% 54.17/34.35 inference(modus_ponens,[status(thm)],[16639, 16638])).
% 54.17/34.35 tff(16641,plain,
% 54.17/34.35 (v90(constB83, 1) | (~v90(constB83, 2)) | v123(constB83)),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16640, 2308, 16185])).
% 54.17/34.35 tff(16642,plain,
% 54.17/34.35 ($false),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16641, 16637, 16634, 16269])).
% 54.17/34.35 tff(16643,plain,(v90(constB83, 0) | v90(constB86, 1) | v90(constB85, 0)), inference(lemma,lemma(discharge,[]))).
% 54.17/34.35 tff(16644,plain,
% 54.17/34.35 (v90(constB83, 0)),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16643, 16184, 16183])).
% 54.17/34.35 tff(16645,plain,
% 54.17/34.35 ((~v1(constB87)) <=> (~v1(constB87))),
% 54.17/34.35 inference(rewrite,[status(thm)],[])).
% 54.17/34.35 tff(16646,axiom,(~v1(constB87)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_87_1_1')).
% 54.17/34.35 tff(16647,plain,
% 54.17/34.35 (~v1(constB87)),
% 54.17/34.35 inference(modus_ponens,[status(thm)],[16646, 16645])).
% 54.17/34.35 tff(16648,plain,
% 54.17/34.35 (nextState(constB86, constB87) <=> nextState(constB86, constB87)),
% 54.17/34.35 inference(rewrite,[status(thm)],[])).
% 54.17/34.35 tff(16649,axiom,(nextState(constB86, constB87)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_86_1')).
% 54.17/34.35 tff(16650,plain,
% 54.17/34.35 (nextState(constB86, constB87)),
% 54.17/34.35 inference(modus_ponens,[status(thm)],[16649, 16648])).
% 54.17/34.35 tff(16651,plain,
% 54.17/34.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87)))),
% 54.17/34.35 inference(rewrite,[status(thm)],[])).
% 54.17/34.35 tff(16652,plain,
% 54.17/34.35 (((~nextState(constB86, constB87)) | (~v101(constB87)) | v1(constB87)) <=> (v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87)))),
% 54.17/34.35 inference(rewrite,[status(thm)],[])).
% 54.17/34.35 tff(16653,plain,
% 54.17/34.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB86, constB87)) | (~v101(constB87)) | v1(constB87))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87))))),
% 54.17/34.35 inference(monotonicity,[status(thm)],[16652])).
% 54.17/34.35 tff(16654,plain,
% 54.17/34.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB86, constB87)) | (~v101(constB87)) | v1(constB87))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87)))),
% 54.17/34.35 inference(transitivity,[status(thm)],[16653, 16651])).
% 54.17/34.35 tff(16655,plain,
% 54.17/34.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB86, constB87)) | (~v101(constB87)) | v1(constB87))),
% 54.17/34.35 inference(quant_inst,[status(thm)],[])).
% 54.17/34.35 tff(16656,plain,
% 54.17/34.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v101(constB87))),
% 54.17/34.35 inference(modus_ponens,[status(thm)],[16655, 16654])).
% 54.17/34.35 tff(16657,plain,
% 54.17/34.35 (~v101(constB87)),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16656, 873, 16650, 16647])).
% 54.17/34.35 tff(16658,plain,
% 54.17/34.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB86, constB87)) | v101(constB87) | (~v100(constB87)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB86, constB87)) | v101(constB87) | (~v100(constB87)))),
% 54.17/34.35 inference(rewrite,[status(thm)],[])).
% 54.17/34.35 tff(16659,plain,
% 54.17/34.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB86, constB87)) | v101(constB87) | (~v100(constB87)))),
% 54.17/34.35 inference(quant_inst,[status(thm)],[])).
% 54.17/34.35 tff(16660,plain,
% 54.17/34.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB86, constB87)) | v101(constB87) | (~v100(constB87))),
% 54.17/34.35 inference(modus_ponens,[status(thm)],[16659, 16658])).
% 54.17/34.35 tff(16661,plain,
% 54.17/34.35 (v101(constB87) | (~v100(constB87))),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16660, 890, 16650])).
% 54.17/34.35 tff(16662,plain,
% 54.17/34.35 (~v100(constB87)),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16661, 16657])).
% 54.17/34.35 tff(16663,plain,
% 54.17/34.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB86, 1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB86, 1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, 1)))),
% 54.17/34.35 inference(rewrite,[status(thm)],[])).
% 54.17/34.35 tff(16664,plain,
% 54.17/34.35 (((~nextState(constB86, constB87)) | v90(constB86, 1) | v100(constB87) | (~v90(constB87, 1))) <=> (v90(constB86, 1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, 1)))),
% 54.17/34.35 inference(rewrite,[status(thm)],[])).
% 54.17/34.35 tff(16665,plain,
% 54.17/34.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB86, constB87)) | v90(constB86, 1) | v100(constB87) | (~v90(constB87, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB86, 1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, 1))))),
% 54.17/34.35 inference(monotonicity,[status(thm)],[16664])).
% 54.17/34.35 tff(16666,plain,
% 54.17/34.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB86, constB87)) | v90(constB86, 1) | v100(constB87) | (~v90(constB87, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB86, 1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, 1)))),
% 54.17/34.35 inference(transitivity,[status(thm)],[16665, 16663])).
% 54.17/34.35 tff(16667,plain,
% 54.17/34.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB86, constB87)) | v90(constB86, 1) | v100(constB87) | (~v90(constB87, 1)))),
% 54.17/34.35 inference(quant_inst,[status(thm)],[])).
% 54.17/34.35 tff(16668,plain,
% 54.17/34.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB86, 1) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, 1))),
% 54.17/34.35 inference(modus_ponens,[status(thm)],[16667, 16666])).
% 54.17/34.35 tff(16669,plain,
% 54.17/34.35 (v90(constB86, 1) | v100(constB87) | (~v90(constB87, 1))),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16668, 926, 16650])).
% 54.17/34.35 tff(16670,plain,
% 54.17/34.35 (v90(constB86, 1) | (~v90(constB87, 1))),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16669, 16662])).
% 54.17/34.35 tff(16671,plain,
% 54.17/34.35 (~v90(constB87, 1)),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16670, 16184])).
% 54.17/34.35 tff(16672,assumption,(~v121(constB89)), introduced(assumption)).
% 54.17/34.35 tff(16673,assumption,(~v26(constB87)), introduced(assumption)).
% 54.17/34.35 tff(16674,assumption,(v90(constB88, 0)), introduced(assumption)).
% 54.17/34.35 tff(16675,assumption,(v120(constB87)), introduced(assumption)).
% 54.17/34.35 tff(16676,plain,
% 54.17/34.35 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB87)) | (~v130(constB87, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB87)) | (~v130(constB87, 0)))),
% 54.17/34.35 inference(rewrite,[status(thm)],[])).
% 54.17/34.35 tff(16677,plain,
% 54.17/34.35 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB87)) | (~v130(constB87, 0)))),
% 54.17/34.35 inference(quant_inst,[status(thm)],[])).
% 54.17/34.35 tff(16678,plain,
% 54.17/34.35 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB87)) | (~v130(constB87, 0))),
% 54.17/34.35 inference(modus_ponens,[status(thm)],[16677, 16676])).
% 54.17/34.35 tff(16679,plain,
% 54.17/34.35 (~v130(constB87, 0)),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16678, 1657, 16675])).
% 54.17/34.35 tff(16680,plain,
% 54.17/34.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB87, 0)) | v26(constB87) | v130(constB87, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB87, 0)) | v26(constB87) | v130(constB87, 0))),
% 54.17/34.35 inference(rewrite,[status(thm)],[])).
% 54.17/34.35 tff(16681,plain,
% 54.17/34.35 ((v26(constB87) | v130(constB87, 0) | (~v127(constB87, 0))) <=> ((~v127(constB87, 0)) | v26(constB87) | v130(constB87, 0))),
% 54.17/34.35 inference(rewrite,[status(thm)],[])).
% 54.17/34.35 tff(16682,plain,
% 54.17/34.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB87) | v130(constB87, 0) | (~v127(constB87, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB87, 0)) | v26(constB87) | v130(constB87, 0)))),
% 54.17/34.35 inference(monotonicity,[status(thm)],[16681])).
% 54.17/34.35 tff(16683,plain,
% 54.17/34.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB87) | v130(constB87, 0) | (~v127(constB87, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB87, 0)) | v26(constB87) | v130(constB87, 0))),
% 54.17/34.35 inference(transitivity,[status(thm)],[16682, 16680])).
% 54.17/34.35 tff(16684,plain,
% 54.17/34.35 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB87) | v130(constB87, 0) | (~v127(constB87, 0)))),
% 54.17/34.35 inference(quant_inst,[status(thm)],[])).
% 54.17/34.35 tff(16685,plain,
% 54.17/34.35 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB87, 0)) | v26(constB87) | v130(constB87, 0)),
% 54.17/34.35 inference(modus_ponens,[status(thm)],[16684, 16683])).
% 54.17/34.35 tff(16686,plain,
% 54.17/34.35 ((~v127(constB87, 0)) | v130(constB87, 0)),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16685, 1671, 16673])).
% 54.17/34.35 tff(16687,plain,
% 54.17/34.35 (~v127(constB87, 0)),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16686, 16679])).
% 54.17/34.35 tff(16688,plain,
% 54.17/34.35 (nextState(constB87, constB88) <=> nextState(constB87, constB88)),
% 54.17/34.35 inference(rewrite,[status(thm)],[])).
% 54.17/34.35 tff(16689,axiom,(nextState(constB87, constB88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_87_1')).
% 54.17/34.35 tff(16690,plain,
% 54.17/34.35 (nextState(constB87, constB88)),
% 54.17/34.35 inference(modus_ponens,[status(thm)],[16689, 16688])).
% 54.17/34.35 tff(16691,plain,
% 54.17/34.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB87, constB88)) | v127(constB87, 0) | (~v129(constB88, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB87, constB88)) | v127(constB87, 0) | (~v129(constB88, 0)))),
% 54.17/34.35 inference(rewrite,[status(thm)],[])).
% 54.17/34.35 tff(16692,plain,
% 54.17/34.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB87, constB88)) | v127(constB87, 0) | (~v129(constB88, 0)))),
% 54.17/34.35 inference(quant_inst,[status(thm)],[])).
% 54.17/34.35 tff(16693,plain,
% 54.17/34.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB87, constB88)) | v127(constB87, 0) | (~v129(constB88, 0))),
% 54.17/34.35 inference(modus_ponens,[status(thm)],[16692, 16691])).
% 54.17/34.35 tff(16694,plain,
% 54.17/34.35 (v127(constB87, 0) | (~v129(constB88, 0))),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16693, 1689, 16690])).
% 54.17/34.35 tff(16695,plain,
% 54.17/34.35 (~v129(constB88, 0)),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16694, 16687])).
% 54.17/34.35 tff(16696,plain,
% 54.17/34.35 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB88, 0)) | v129(constB88, 0) | (~v100(constB88)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB88, 0)) | v129(constB88, 0) | (~v100(constB88)))),
% 54.17/34.35 inference(rewrite,[status(thm)],[])).
% 54.17/34.35 tff(16697,plain,
% 54.17/34.35 (((~v90(constB88, 0)) | (~v100(constB88)) | v129(constB88, 0)) <=> ((~v90(constB88, 0)) | v129(constB88, 0) | (~v100(constB88)))),
% 54.17/34.35 inference(rewrite,[status(thm)],[])).
% 54.17/34.35 tff(16698,plain,
% 54.17/34.35 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB88, 0)) | (~v100(constB88)) | v129(constB88, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB88, 0)) | v129(constB88, 0) | (~v100(constB88))))),
% 54.17/34.35 inference(monotonicity,[status(thm)],[16697])).
% 54.17/34.35 tff(16699,plain,
% 54.17/34.35 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB88, 0)) | (~v100(constB88)) | v129(constB88, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB88, 0)) | v129(constB88, 0) | (~v100(constB88)))),
% 54.17/34.35 inference(transitivity,[status(thm)],[16698, 16696])).
% 54.17/34.35 tff(16700,plain,
% 54.17/34.35 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB88, 0)) | (~v100(constB88)) | v129(constB88, 0))),
% 54.17/34.35 inference(quant_inst,[status(thm)],[])).
% 54.17/34.35 tff(16701,plain,
% 54.17/34.35 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB88, 0)) | v129(constB88, 0) | (~v100(constB88))),
% 54.17/34.35 inference(modus_ponens,[status(thm)],[16700, 16699])).
% 54.17/34.35 tff(16702,plain,
% 54.17/34.35 (v129(constB88, 0) | (~v100(constB88))),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16701, 1704, 16674])).
% 54.17/34.35 tff(16703,plain,
% 54.17/34.35 (~v100(constB88)),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16702, 16695])).
% 54.17/34.35 tff(16704,plain,
% 54.17/34.35 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB87) | (~nextState(constB87, constB88)) | (~v104(constB88)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB87) | (~nextState(constB87, constB88)) | (~v104(constB88)))),
% 54.17/34.35 inference(rewrite,[status(thm)],[])).
% 54.17/34.35 tff(16705,plain,
% 54.17/34.35 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB87) | (~nextState(constB87, constB88)) | (~v104(constB88)))),
% 54.17/34.35 inference(quant_inst,[status(thm)],[])).
% 54.17/34.35 tff(16706,plain,
% 54.17/34.35 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB87) | (~nextState(constB87, constB88)) | (~v104(constB88))),
% 54.17/34.35 inference(modus_ponens,[status(thm)],[16705, 16704])).
% 54.17/34.35 tff(16707,plain,
% 54.17/34.35 (~v104(constB88)),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16706, 1113, 16690, 16647])).
% 54.17/34.35 tff(16708,plain,
% 54.17/34.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB87, constB88)) | v102(constB88) | v104(constB88))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB87, constB88)) | v102(constB88) | v104(constB88))),
% 54.17/34.35 inference(rewrite,[status(thm)],[])).
% 54.17/34.35 tff(16709,plain,
% 54.17/34.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB87, constB88)) | v102(constB88) | v104(constB88))),
% 54.17/34.35 inference(quant_inst,[status(thm)],[])).
% 54.17/34.35 tff(16710,plain,
% 54.17/34.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB87, constB88)) | v102(constB88) | v104(constB88)),
% 54.17/34.35 inference(modus_ponens,[status(thm)],[16709, 16708])).
% 54.17/34.35 tff(16711,plain,
% 54.17/34.35 (v102(constB88) | v104(constB88)),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16710, 1127, 16690])).
% 54.17/34.35 tff(16712,plain,
% 54.17/34.35 (v102(constB88)),
% 54.17/34.35 inference(unit_resolution,[status(thm)],[16711, 16707])).
% 54.17/34.35 tff(16713,plain,
% 54.17/34.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB87, constB88)) | v101(constB88) | (~v102(constB88)) | (~v1(constB88)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB87, constB88)) | v101(constB88) | (~v102(constB88)) | (~v1(constB88)))),
% 54.17/34.35 inference(rewrite,[status(thm)],[])).
% 54.17/34.35 tff(16714,plain,
% 54.17/34.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB87, constB88)) | v101(constB88) | (~v102(constB88)) | (~v1(constB88)))),
% 54.17/34.36 inference(quant_inst,[status(thm)],[])).
% 54.17/34.36 tff(16715,plain,
% 54.17/34.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB87, constB88)) | v101(constB88) | (~v102(constB88)) | (~v1(constB88))),
% 54.17/34.36 inference(modus_ponens,[status(thm)],[16714, 16713])).
% 54.17/34.36 tff(16716,plain,
% 54.17/34.36 (v101(constB88) | (~v102(constB88))),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16715, 1145, 16690, 266])).
% 54.17/34.36 tff(16717,plain,
% 54.17/34.36 (v101(constB88)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16716, 16712])).
% 54.17/34.36 tff(16718,plain,
% 54.17/34.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88)))),
% 54.17/34.36 inference(rewrite,[status(thm)],[])).
% 54.17/34.36 tff(16719,plain,
% 54.17/34.36 (((~nextState(constB87, constB88)) | (~v101(constB88)) | (~v110(constB88)) | v100(constB88)) <=> ((~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88)))),
% 54.17/34.36 inference(rewrite,[status(thm)],[])).
% 54.17/34.36 tff(16720,plain,
% 54.17/34.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB87, constB88)) | (~v101(constB88)) | (~v110(constB88)) | v100(constB88))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88))))),
% 54.17/34.36 inference(monotonicity,[status(thm)],[16719])).
% 54.17/34.36 tff(16721,plain,
% 54.17/34.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB87, constB88)) | (~v101(constB88)) | (~v110(constB88)) | v100(constB88))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88)))),
% 54.17/34.36 inference(transitivity,[status(thm)],[16720, 16718])).
% 54.17/34.36 tff(16722,plain,
% 54.17/34.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB87, constB88)) | (~v101(constB88)) | (~v110(constB88)) | v100(constB88))),
% 54.17/34.36 inference(quant_inst,[status(thm)],[])).
% 54.17/34.36 tff(16723,plain,
% 54.17/34.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB87, constB88)) | v100(constB88) | (~v101(constB88)) | (~v110(constB88))),
% 54.17/34.36 inference(modus_ponens,[status(thm)],[16722, 16721])).
% 54.17/34.36 tff(16724,plain,
% 54.17/34.36 (v100(constB88) | (~v101(constB88)) | (~v110(constB88))),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16723, 1160, 16690])).
% 54.17/34.36 tff(16725,plain,
% 54.17/34.36 (v100(constB88) | (~v110(constB88))),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16724, 16717])).
% 54.17/34.36 tff(16726,plain,
% 54.17/34.36 (~v110(constB88)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16725, 16703])).
% 54.17/34.36 tff(16727,plain,
% 54.17/34.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87)))),
% 54.17/34.36 inference(rewrite,[status(thm)],[])).
% 54.17/34.36 tff(16728,plain,
% 54.17/34.36 (((~nextState(constB87, constB88)) | (~v108(constB87)) | v110(constB88)) <=> ((~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87)))),
% 54.17/34.36 inference(rewrite,[status(thm)],[])).
% 54.17/34.36 tff(16729,plain,
% 54.17/34.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB87, constB88)) | (~v108(constB87)) | v110(constB88))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87))))),
% 54.17/34.36 inference(monotonicity,[status(thm)],[16728])).
% 54.17/34.36 tff(16730,plain,
% 54.17/34.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB87, constB88)) | (~v108(constB87)) | v110(constB88))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87)))),
% 54.17/34.36 inference(transitivity,[status(thm)],[16729, 16727])).
% 54.17/34.36 tff(16731,plain,
% 54.17/34.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB87, constB88)) | (~v108(constB87)) | v110(constB88))),
% 54.17/34.36 inference(quant_inst,[status(thm)],[])).
% 54.17/34.36 tff(16732,plain,
% 54.17/34.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB87, constB88)) | v110(constB88) | (~v108(constB87))),
% 54.17/34.36 inference(modus_ponens,[status(thm)],[16731, 16730])).
% 54.17/34.36 tff(16733,plain,
% 54.17/34.36 (v110(constB88) | (~v108(constB87))),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16732, 1095, 16690])).
% 54.17/34.36 tff(16734,plain,
% 54.17/34.36 (~v108(constB87)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16733, 16726])).
% 54.17/34.36 tff(16735,assumption,(~v108(constB87)), introduced(assumption)).
% 54.17/34.36 tff(16736,plain,
% 54.17/34.36 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB87) | (~v112(constB87)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB87) | (~v112(constB87)))),
% 54.17/34.36 inference(rewrite,[status(thm)],[])).
% 54.17/34.36 tff(16737,plain,
% 54.17/34.36 (((~v112(constB87)) | v108(constB87)) <=> (v108(constB87) | (~v112(constB87)))),
% 54.17/34.36 inference(rewrite,[status(thm)],[])).
% 54.17/34.36 tff(16738,plain,
% 54.17/34.36 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB87)) | v108(constB87))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB87) | (~v112(constB87))))),
% 54.17/34.36 inference(monotonicity,[status(thm)],[16737])).
% 54.17/34.36 tff(16739,plain,
% 54.17/34.36 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB87)) | v108(constB87))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB87) | (~v112(constB87)))),
% 54.17/34.36 inference(transitivity,[status(thm)],[16738, 16736])).
% 54.17/34.36 tff(16740,plain,
% 54.17/34.36 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB87)) | v108(constB87))),
% 54.17/34.36 inference(quant_inst,[status(thm)],[])).
% 54.17/34.36 tff(16741,plain,
% 54.17/34.36 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB87) | (~v112(constB87))),
% 54.17/34.36 inference(modus_ponens,[status(thm)],[16740, 16739])).
% 54.17/34.36 tff(16742,plain,
% 54.17/34.36 (~v112(constB87)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16741, 1075, 16735])).
% 54.17/34.36 tff(16743,plain,
% 54.17/34.36 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB87) | (~v26(constB87)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB87) | (~v26(constB87)))),
% 54.17/34.36 inference(rewrite,[status(thm)],[])).
% 54.17/34.36 tff(16744,plain,
% 54.17/34.36 (((~v26(constB87)) | v108(constB87)) <=> (v108(constB87) | (~v26(constB87)))),
% 54.17/34.36 inference(rewrite,[status(thm)],[])).
% 54.17/34.36 tff(16745,plain,
% 54.17/34.36 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB87)) | v108(constB87))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB87) | (~v26(constB87))))),
% 54.17/34.36 inference(monotonicity,[status(thm)],[16744])).
% 54.17/34.36 tff(16746,plain,
% 54.17/34.36 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB87)) | v108(constB87))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB87) | (~v26(constB87)))),
% 54.17/34.36 inference(transitivity,[status(thm)],[16745, 16743])).
% 54.17/34.36 tff(16747,plain,
% 54.17/34.36 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB87)) | v108(constB87))),
% 54.17/34.36 inference(quant_inst,[status(thm)],[])).
% 54.17/34.36 tff(16748,plain,
% 54.17/34.36 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB87) | (~v26(constB87))),
% 54.17/34.36 inference(modus_ponens,[status(thm)],[16747, 16746])).
% 54.17/34.36 tff(16749,plain,
% 54.17/34.36 (~v26(constB87)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16748, 2050, 16735])).
% 54.17/34.36 tff(16750,assumption,(v113(constB87)), introduced(assumption)).
% 54.17/34.36 tff(16751,plain,
% 54.17/34.36 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB87) | v112(constB87) | (~v113(constB87)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB87) | v112(constB87) | (~v113(constB87)))),
% 54.17/34.36 inference(rewrite,[status(thm)],[])).
% 54.17/34.36 tff(16752,plain,
% 54.17/34.36 ((v26(constB87) | (~v113(constB87)) | v112(constB87)) <=> (v26(constB87) | v112(constB87) | (~v113(constB87)))),
% 54.17/34.36 inference(rewrite,[status(thm)],[])).
% 54.17/34.36 tff(16753,plain,
% 54.17/34.36 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB87) | (~v113(constB87)) | v112(constB87))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB87) | v112(constB87) | (~v113(constB87))))),
% 54.17/34.36 inference(monotonicity,[status(thm)],[16752])).
% 54.17/34.36 tff(16754,plain,
% 54.17/34.36 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB87) | (~v113(constB87)) | v112(constB87))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB87) | v112(constB87) | (~v113(constB87)))),
% 54.17/34.36 inference(transitivity,[status(thm)],[16753, 16751])).
% 54.17/34.36 tff(16755,plain,
% 54.17/34.36 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB87) | (~v113(constB87)) | v112(constB87))),
% 54.17/34.36 inference(quant_inst,[status(thm)],[])).
% 54.17/34.36 tff(16756,plain,
% 54.17/34.36 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB87) | v112(constB87) | (~v113(constB87))),
% 54.17/34.36 inference(modus_ponens,[status(thm)],[16755, 16754])).
% 54.17/34.36 tff(16757,plain,
% 54.17/34.36 (v26(constB87) | v112(constB87)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16756, 1063, 16750])).
% 54.17/34.36 tff(16758,plain,
% 54.17/34.36 ($false),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16757, 16749, 16742])).
% 54.17/34.36 tff(16759,plain,(v108(constB87) | (~v113(constB87))), inference(lemma,lemma(discharge,[]))).
% 54.17/34.36 tff(16760,plain,
% 54.17/34.36 (~v113(constB87)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16759, 16734])).
% 54.17/34.36 tff(16761,plain,
% 54.17/34.36 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB87) | (~v114(constB87)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB87) | (~v114(constB87)))),
% 54.17/34.36 inference(rewrite,[status(thm)],[])).
% 54.17/34.36 tff(16762,plain,
% 54.17/34.36 (((~v114(constB87)) | v113(constB87)) <=> (v113(constB87) | (~v114(constB87)))),
% 54.17/34.36 inference(rewrite,[status(thm)],[])).
% 54.17/34.36 tff(16763,plain,
% 54.17/34.36 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB87)) | v113(constB87))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB87) | (~v114(constB87))))),
% 54.17/34.36 inference(monotonicity,[status(thm)],[16762])).
% 54.17/34.36 tff(16764,plain,
% 54.17/34.36 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB87)) | v113(constB87))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB87) | (~v114(constB87)))),
% 54.17/34.36 inference(transitivity,[status(thm)],[16763, 16761])).
% 54.17/34.36 tff(16765,plain,
% 54.17/34.36 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB87)) | v113(constB87))),
% 54.17/34.36 inference(quant_inst,[status(thm)],[])).
% 54.17/34.36 tff(16766,plain,
% 54.17/34.36 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB87) | (~v114(constB87))),
% 54.17/34.36 inference(modus_ponens,[status(thm)],[16765, 16764])).
% 54.17/34.36 tff(16767,plain,
% 54.17/34.36 (~v114(constB87)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16766, 1049, 16760])).
% 54.17/34.36 tff(16768,plain,
% 54.17/34.36 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB87) | (~v115(constB87)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB87) | (~v115(constB87)))),
% 54.17/34.36 inference(rewrite,[status(thm)],[])).
% 54.17/34.36 tff(16769,plain,
% 54.17/34.36 (((~v115(constB87)) | v114(constB87)) <=> (v114(constB87) | (~v115(constB87)))),
% 54.17/34.36 inference(rewrite,[status(thm)],[])).
% 54.17/34.36 tff(16770,plain,
% 54.17/34.36 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB87)) | v114(constB87))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB87) | (~v115(constB87))))),
% 54.17/34.36 inference(monotonicity,[status(thm)],[16769])).
% 54.17/34.36 tff(16771,plain,
% 54.17/34.36 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB87)) | v114(constB87))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB87) | (~v115(constB87)))),
% 54.17/34.36 inference(transitivity,[status(thm)],[16770, 16768])).
% 54.17/34.36 tff(16772,plain,
% 54.17/34.36 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB87)) | v114(constB87))),
% 54.17/34.36 inference(quant_inst,[status(thm)],[])).
% 54.17/34.36 tff(16773,plain,
% 54.17/34.36 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB87) | (~v115(constB87))),
% 54.17/34.36 inference(modus_ponens,[status(thm)],[16772, 16771])).
% 54.17/34.36 tff(16774,plain,
% 54.17/34.36 (~v115(constB87)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16773, 1035, 16767])).
% 54.17/34.36 tff(16775,plain,
% 54.17/34.36 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB87) | (~v120(constB87)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB87) | (~v120(constB87)))),
% 54.17/34.36 inference(rewrite,[status(thm)],[])).
% 54.17/34.36 tff(16776,plain,
% 54.17/34.36 (((~v120(constB87)) | v118(constB87)) <=> (v118(constB87) | (~v120(constB87)))),
% 54.17/34.36 inference(rewrite,[status(thm)],[])).
% 54.17/34.36 tff(16777,plain,
% 54.17/34.36 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB87)) | v118(constB87))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB87) | (~v120(constB87))))),
% 54.17/34.36 inference(monotonicity,[status(thm)],[16776])).
% 54.17/34.36 tff(16778,plain,
% 54.17/34.36 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB87)) | v118(constB87))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB87) | (~v120(constB87)))),
% 54.17/34.36 inference(transitivity,[status(thm)],[16777, 16775])).
% 54.17/34.36 tff(16779,plain,
% 54.17/34.36 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB87)) | v118(constB87))),
% 54.17/34.36 inference(quant_inst,[status(thm)],[])).
% 54.17/34.36 tff(16780,plain,
% 54.17/34.36 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB87) | (~v120(constB87))),
% 54.17/34.36 inference(modus_ponens,[status(thm)],[16779, 16778])).
% 54.17/34.36 tff(16781,plain,
% 54.17/34.36 (v118(constB87)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16780, 1425, 16675])).
% 54.17/34.36 tff(16782,plain,
% 54.17/34.36 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB87) | (~v118(constB87)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB87) | (~v118(constB87)))),
% 54.17/34.36 inference(rewrite,[status(thm)],[])).
% 54.17/34.36 tff(16783,plain,
% 54.17/34.36 (((~v118(constB87)) | v117(constB87)) <=> (v117(constB87) | (~v118(constB87)))),
% 54.17/34.36 inference(rewrite,[status(thm)],[])).
% 54.17/34.36 tff(16784,plain,
% 54.17/34.36 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB87)) | v117(constB87))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB87) | (~v118(constB87))))),
% 54.17/34.36 inference(monotonicity,[status(thm)],[16783])).
% 54.17/34.36 tff(16785,plain,
% 54.17/34.36 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB87)) | v117(constB87))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB87) | (~v118(constB87)))),
% 54.17/34.36 inference(transitivity,[status(thm)],[16784, 16782])).
% 54.17/34.36 tff(16786,plain,
% 54.17/34.36 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB87)) | v117(constB87))),
% 54.17/34.36 inference(quant_inst,[status(thm)],[])).
% 54.17/34.36 tff(16787,plain,
% 54.17/34.36 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB87) | (~v118(constB87))),
% 54.17/34.36 inference(modus_ponens,[status(thm)],[16786, 16785])).
% 54.17/34.36 tff(16788,plain,
% 54.17/34.36 (v117(constB87)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16787, 993, 16781])).
% 54.17/34.36 tff(16789,plain,
% 54.17/34.36 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB87) | (~v117(constB87)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB87) | (~v117(constB87)))),
% 54.17/34.36 inference(rewrite,[status(thm)],[])).
% 54.17/34.36 tff(16790,plain,
% 54.17/34.36 (((~v117(constB87)) | v116(constB87)) <=> (v116(constB87) | (~v117(constB87)))),
% 54.17/34.36 inference(rewrite,[status(thm)],[])).
% 54.17/34.36 tff(16791,plain,
% 54.17/34.36 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB87)) | v116(constB87))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB87) | (~v117(constB87))))),
% 54.17/34.36 inference(monotonicity,[status(thm)],[16790])).
% 54.17/34.36 tff(16792,plain,
% 54.17/34.36 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB87)) | v116(constB87))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB87) | (~v117(constB87)))),
% 54.17/34.36 inference(transitivity,[status(thm)],[16791, 16789])).
% 54.17/34.36 tff(16793,plain,
% 54.17/34.36 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB87)) | v116(constB87))),
% 54.17/34.36 inference(quant_inst,[status(thm)],[])).
% 54.17/34.36 tff(16794,plain,
% 54.17/34.36 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB87) | (~v117(constB87))),
% 54.17/34.36 inference(modus_ponens,[status(thm)],[16793, 16792])).
% 54.17/34.36 tff(16795,plain,
% 54.17/34.36 (v116(constB87)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16794, 1007, 16788])).
% 54.17/34.36 tff(16796,plain,
% 54.17/34.36 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB87) | (~v116(constB87)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB87) | (~v116(constB87)))),
% 54.17/34.36 inference(rewrite,[status(thm)],[])).
% 54.17/34.36 tff(16797,plain,
% 54.17/34.36 (((~v116(constB87)) | v115(constB87)) <=> (v115(constB87) | (~v116(constB87)))),
% 54.17/34.36 inference(rewrite,[status(thm)],[])).
% 54.17/34.36 tff(16798,plain,
% 54.17/34.36 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB87)) | v115(constB87))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB87) | (~v116(constB87))))),
% 54.17/34.36 inference(monotonicity,[status(thm)],[16797])).
% 54.17/34.36 tff(16799,plain,
% 54.17/34.36 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB87)) | v115(constB87))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB87) | (~v116(constB87)))),
% 54.17/34.36 inference(transitivity,[status(thm)],[16798, 16796])).
% 54.17/34.36 tff(16800,plain,
% 54.17/34.36 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB87)) | v115(constB87))),
% 54.17/34.36 inference(quant_inst,[status(thm)],[])).
% 54.17/34.36 tff(16801,plain,
% 54.17/34.36 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB87) | (~v116(constB87))),
% 54.17/34.36 inference(modus_ponens,[status(thm)],[16800, 16799])).
% 54.17/34.36 tff(16802,plain,
% 54.17/34.36 ($false),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16801, 1021, 16795, 16774])).
% 54.17/34.36 tff(16803,plain,((~v120(constB87)) | (~v90(constB88, 0)) | v26(constB87)), inference(lemma,lemma(discharge,[]))).
% 54.17/34.36 tff(16804,plain,
% 54.17/34.36 (~v120(constB87)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16803, 16674, 16673])).
% 54.17/34.36 tff(16805,assumption,(~v120(constB87)), introduced(assumption)).
% 54.17/34.36 tff(16806,plain,
% 54.17/34.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB86, 2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB86, 2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, 2)))),
% 54.17/34.36 inference(rewrite,[status(thm)],[])).
% 54.17/34.36 tff(16807,plain,
% 54.17/34.36 (((~nextState(constB86, constB87)) | v90(constB86, 2) | v100(constB87) | (~v90(constB87, 2))) <=> (v90(constB86, 2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, 2)))),
% 54.17/34.36 inference(rewrite,[status(thm)],[])).
% 54.17/34.36 tff(16808,plain,
% 54.17/34.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB86, constB87)) | v90(constB86, 2) | v100(constB87) | (~v90(constB87, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB86, 2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, 2))))),
% 54.17/34.36 inference(monotonicity,[status(thm)],[16807])).
% 54.17/34.36 tff(16809,plain,
% 54.17/34.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB86, constB87)) | v90(constB86, 2) | v100(constB87) | (~v90(constB87, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB86, 2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, 2)))),
% 54.17/34.36 inference(transitivity,[status(thm)],[16808, 16806])).
% 54.17/34.36 tff(16810,plain,
% 54.17/34.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB86, constB87)) | v90(constB86, 2) | v100(constB87) | (~v90(constB87, 2)))),
% 54.17/34.36 inference(quant_inst,[status(thm)],[])).
% 54.17/34.36 tff(16811,plain,
% 54.17/34.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB86, 2) | (~nextState(constB86, constB87)) | v100(constB87) | (~v90(constB87, 2))),
% 54.17/34.36 inference(modus_ponens,[status(thm)],[16810, 16809])).
% 54.17/34.36 tff(16812,plain,
% 54.17/34.36 (v90(constB86, 2) | v100(constB87) | (~v90(constB87, 2))),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16811, 905, 16650])).
% 54.17/34.36 tff(16813,plain,
% 54.17/34.36 (v90(constB86, 2) | (~v90(constB87, 2))),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16812, 16662])).
% 54.17/34.36 tff(16814,plain,
% 54.17/34.36 (~v90(constB87, 2)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16813, 16270])).
% 54.17/34.36 tff(16815,plain,
% 54.17/34.36 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB87, 0)) | v90(constB87, 1) | v90(constB87, 2) | v120(constB87))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB87, 0)) | v90(constB87, 1) | v90(constB87, 2) | v120(constB87))),
% 54.17/34.36 inference(rewrite,[status(thm)],[])).
% 54.17/34.36 tff(16816,plain,
% 54.17/34.36 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB87, 0)) | v90(constB87, 1) | v90(constB87, 2) | v120(constB87))),
% 54.17/34.36 inference(quant_inst,[status(thm)],[])).
% 54.17/34.36 tff(16817,plain,
% 54.17/34.36 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB87, 0)) | v90(constB87, 1) | v90(constB87, 2) | v120(constB87)),
% 54.17/34.36 inference(modus_ponens,[status(thm)],[16816, 16815])).
% 54.17/34.36 tff(16818,plain,
% 54.17/34.36 ((~v90(constB87, 0)) | v90(constB87, 2) | v120(constB87)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16817, 1414, 16671])).
% 54.17/34.36 tff(16819,plain,
% 54.17/34.36 (~v90(constB87, 0)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16818, 16814, 16805])).
% 54.17/34.36 tff(16820,plain,
% 54.17/34.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB86, 0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB86, 0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, 0))),
% 54.17/34.36 inference(rewrite,[status(thm)],[])).
% 54.17/34.36 tff(16821,plain,
% 54.17/34.36 (((~nextState(constB86, constB87)) | (~v90(constB86, 0)) | v100(constB87) | v90(constB87, 0)) <=> ((~v90(constB86, 0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, 0))),
% 54.17/34.36 inference(rewrite,[status(thm)],[])).
% 54.17/34.36 tff(16822,plain,
% 54.17/34.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB86, constB87)) | (~v90(constB86, 0)) | v100(constB87) | v90(constB87, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB86, 0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, 0)))),
% 54.17/34.36 inference(monotonicity,[status(thm)],[16821])).
% 54.17/34.36 tff(16823,plain,
% 54.17/34.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB86, constB87)) | (~v90(constB86, 0)) | v100(constB87) | v90(constB87, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB86, 0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, 0))),
% 54.17/34.36 inference(transitivity,[status(thm)],[16822, 16820])).
% 54.17/34.36 tff(16824,plain,
% 54.17/34.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB86, constB87)) | (~v90(constB86, 0)) | v100(constB87) | v90(constB87, 0))),
% 54.17/34.36 inference(quant_inst,[status(thm)],[])).
% 54.17/34.36 tff(16825,plain,
% 54.17/34.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB86, 0)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, 0)),
% 54.17/34.36 inference(modus_ponens,[status(thm)],[16824, 16823])).
% 54.17/34.36 tff(16826,plain,
% 54.17/34.36 ((~v90(constB86, 0)) | v100(constB87) | v90(constB87, 0)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16825, 1395, 16650])).
% 54.17/34.36 tff(16827,plain,
% 54.17/34.36 ((~v90(constB86, 0)) | v90(constB87, 0)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16826, 16662])).
% 54.17/34.36 tff(16828,plain,
% 54.17/34.36 (~v90(constB86, 0)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16827, 16819])).
% 54.17/34.36 tff(16829,plain,
% 54.17/34.36 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB86, 0) | (~v129(constB86, 0)) | (~v100(constB86)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB86, 0) | (~v129(constB86, 0)) | (~v100(constB86)))),
% 54.17/34.36 inference(rewrite,[status(thm)],[])).
% 54.17/34.36 tff(16830,plain,
% 54.17/34.36 ((v90(constB86, 0) | (~v100(constB86)) | (~v129(constB86, 0))) <=> (v90(constB86, 0) | (~v129(constB86, 0)) | (~v100(constB86)))),
% 54.17/34.36 inference(rewrite,[status(thm)],[])).
% 54.17/34.36 tff(16831,plain,
% 54.17/34.36 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB86, 0) | (~v100(constB86)) | (~v129(constB86, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB86, 0) | (~v129(constB86, 0)) | (~v100(constB86))))),
% 54.17/34.36 inference(monotonicity,[status(thm)],[16830])).
% 54.17/34.36 tff(16832,plain,
% 54.17/34.36 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB86, 0) | (~v100(constB86)) | (~v129(constB86, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB86, 0) | (~v129(constB86, 0)) | (~v100(constB86)))),
% 54.17/34.36 inference(transitivity,[status(thm)],[16831, 16829])).
% 54.17/34.36 tff(16833,plain,
% 54.17/34.36 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB86, 0) | (~v100(constB86)) | (~v129(constB86, 0)))),
% 54.17/34.36 inference(quant_inst,[status(thm)],[])).
% 54.17/34.36 tff(16834,plain,
% 54.17/34.36 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB86, 0) | (~v129(constB86, 0)) | (~v100(constB86))),
% 54.17/34.36 inference(modus_ponens,[status(thm)],[16833, 16832])).
% 54.17/34.36 tff(16835,plain,
% 54.17/34.36 (~v129(constB86, 0)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16834, 1377, 16343, 16828])).
% 54.17/34.36 tff(16836,plain,
% 54.17/34.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB85, constB86)) | (~v127(constB85, 0)) | v129(constB86, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB85, constB86)) | (~v127(constB85, 0)) | v129(constB86, 0))),
% 54.17/34.36 inference(rewrite,[status(thm)],[])).
% 54.17/34.36 tff(16837,plain,
% 54.17/34.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB85, constB86)) | (~v127(constB85, 0)) | v129(constB86, 0))),
% 54.17/34.36 inference(quant_inst,[status(thm)],[])).
% 54.17/34.36 tff(16838,plain,
% 54.17/34.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB85, constB86)) | (~v127(constB85, 0)) | v129(constB86, 0)),
% 54.17/34.36 inference(modus_ponens,[status(thm)],[16837, 16836])).
% 54.17/34.36 tff(16839,plain,
% 54.17/34.36 ((~v127(constB85, 0)) | v129(constB86, 0)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16838, 1362, 16098])).
% 54.17/34.36 tff(16840,plain,
% 54.17/34.36 (~v127(constB85, 0)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16839, 16835])).
% 54.17/34.36 tff(16841,plain,
% 54.17/34.36 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB85) | (~v130(constB85, 0)) | v127(constB85, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB85) | (~v130(constB85, 0)) | v127(constB85, 0))),
% 54.17/34.36 inference(rewrite,[status(thm)],[])).
% 54.17/34.36 tff(16842,plain,
% 54.17/34.36 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB85) | (~v130(constB85, 0)) | v127(constB85, 0))),
% 54.17/34.36 inference(quant_inst,[status(thm)],[])).
% 54.17/34.36 tff(16843,plain,
% 54.17/34.36 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB85) | (~v130(constB85, 0)) | v127(constB85, 0)),
% 54.17/34.36 inference(modus_ponens,[status(thm)],[16842, 16841])).
% 54.17/34.36 tff(16844,plain,
% 54.17/34.36 ((~v130(constB85, 0)) | v127(constB85, 0)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16843, 1347, 16080])).
% 54.17/34.36 tff(16845,plain,
% 54.17/34.36 (~v130(constB85, 0)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16844, 16840])).
% 54.17/34.36 tff(16846,assumption,(~v121(constB85)), introduced(assumption)).
% 54.17/34.36 tff(16847,assumption,(~v130(constB85, 0)), introduced(assumption)).
% 54.17/34.36 tff(16848,assumption,(~v120(constB85)), introduced(assumption)).
% 54.17/34.36 tff(16849,assumption,(~v122(constB85)), introduced(assumption)).
% 54.17/34.36 tff(16850,assumption,(~v124(constB85)), introduced(assumption)).
% 54.17/34.36 tff(16851,plain,
% 54.17/34.36 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | v130(constB85, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | v130(constB85, 0))),
% 54.17/34.36 inference(rewrite,[status(thm)],[])).
% 54.17/34.36 tff(16852,plain,
% 54.17/34.36 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | v130(constB85, 0))),
% 54.17/34.36 inference(quant_inst,[status(thm)],[])).
% 54.17/34.36 tff(16853,plain,
% 54.17/34.36 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB85) | v120(constB85) | v121(constB85) | v122(constB85) | v123(constB85) | v124(constB85) | v130(constB85, 0)),
% 54.17/34.36 inference(modus_ponens,[status(thm)],[16852, 16851])).
% 54.17/34.36 tff(16854,plain,
% 54.17/34.36 (v119(constB85) | v121(constB85) | v123(constB85) | v130(constB85, 0)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16853, 3413, 16850, 16849, 16848])).
% 54.17/34.36 tff(16855,plain,
% 54.17/34.36 (v119(constB85)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16854, 16847, 16846, 16389])).
% 54.17/34.36 tff(16856,plain,
% 54.17/34.36 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB85)) | v130(constB85, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB85)) | v130(constB85, 0))),
% 54.17/34.36 inference(rewrite,[status(thm)],[])).
% 54.17/34.36 tff(16857,plain,
% 54.17/34.36 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB85)) | v130(constB85, 0))),
% 54.17/34.36 inference(quant_inst,[status(thm)],[])).
% 54.17/34.36 tff(16858,plain,
% 54.17/34.36 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB85)) | v130(constB85, 0)),
% 54.17/34.36 inference(modus_ponens,[status(thm)],[16857, 16856])).
% 54.17/34.36 tff(16859,plain,
% 54.17/34.36 ($false),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16858, 1333, 16847, 16855])).
% 54.17/34.36 tff(16860,plain,(v130(constB85, 0) | v121(constB85) | v123(constB85) | v124(constB85) | v122(constB85) | v120(constB85)), inference(lemma,lemma(discharge,[]))).
% 54.17/34.36 tff(16861,plain,
% 54.17/34.36 (v123(constB85)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16860, 16845, 16365, 16623, 16619, 16615])).
% 54.17/34.36 tff(16862,plain,
% 54.17/34.36 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB85)) | v130(constB85, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB85)) | v130(constB85, 0))),
% 54.17/34.36 inference(rewrite,[status(thm)],[])).
% 54.17/34.36 tff(16863,plain,
% 54.17/34.36 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB85)) | v130(constB85, 0))),
% 54.17/34.36 inference(quant_inst,[status(thm)],[])).
% 54.17/34.36 tff(16864,plain,
% 54.17/34.36 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB85)) | v130(constB85, 0)),
% 54.17/34.36 inference(modus_ponens,[status(thm)],[16863, 16862])).
% 54.17/34.36 tff(16865,plain,
% 54.17/34.36 ($false),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16864, 2622, 16845, 16861])).
% 54.17/34.36 tff(16866,plain,(v90(constB86, 2) | v90(constB86, 1) | v120(constB87) | v90(constB85, 0)), inference(lemma,lemma(discharge,[]))).
% 54.17/34.36 tff(16867,plain,
% 54.17/34.36 (v90(constB86, 2)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16866, 16804, 16184, 16183])).
% 54.17/34.36 tff(16868,plain,
% 54.17/34.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB86, 2)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB86, 2)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, 2))),
% 54.17/34.36 inference(rewrite,[status(thm)],[])).
% 54.17/34.36 tff(16869,plain,
% 54.17/34.36 (((~nextState(constB86, constB87)) | (~v90(constB86, 2)) | v100(constB87) | v90(constB87, 2)) <=> ((~v90(constB86, 2)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, 2))),
% 54.17/34.36 inference(rewrite,[status(thm)],[])).
% 54.17/34.36 tff(16870,plain,
% 54.17/34.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB86, constB87)) | (~v90(constB86, 2)) | v100(constB87) | v90(constB87, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB86, 2)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, 2)))),
% 54.17/34.36 inference(monotonicity,[status(thm)],[16869])).
% 54.17/34.36 tff(16871,plain,
% 54.17/34.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB86, constB87)) | (~v90(constB86, 2)) | v100(constB87) | v90(constB87, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB86, 2)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, 2))),
% 54.17/34.36 inference(transitivity,[status(thm)],[16870, 16868])).
% 54.17/34.36 tff(16872,plain,
% 54.17/34.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB86, constB87)) | (~v90(constB86, 2)) | v100(constB87) | v90(constB87, 2))),
% 54.17/34.36 inference(quant_inst,[status(thm)],[])).
% 54.17/34.36 tff(16873,plain,
% 54.17/34.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB86, 2)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, 2)),
% 54.17/34.36 inference(modus_ponens,[status(thm)],[16872, 16871])).
% 54.17/34.36 tff(16874,plain,
% 54.17/34.36 ((~v90(constB86, 2)) | v100(constB87) | v90(constB87, 2)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16873, 2174, 16650])).
% 54.17/34.36 tff(16875,plain,
% 54.17/34.36 ((~v90(constB86, 2)) | v90(constB87, 2)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16874, 16662])).
% 54.17/34.36 tff(16876,plain,
% 54.17/34.36 (v90(constB87, 2)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16875, 16867])).
% 54.17/34.36 tff(16877,plain,
% 54.17/34.36 (v127(constB85, 2)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16594, 16867, 16184, 16183])).
% 54.17/34.36 tff(16878,plain,
% 54.17/34.36 (v130(constB85, 2)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16602, 16877])).
% 54.17/34.36 tff(16879,plain,
% 54.17/34.36 (~v119(constB85)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16606, 1176, 16878])).
% 54.17/34.36 tff(16880,plain,
% 54.17/34.36 (~v121(constB85)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16610, 1821, 16878])).
% 54.17/34.36 tff(16881,plain,
% 54.17/34.36 (v123(constB85)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16627, 16880, 16878, 16879])).
% 54.17/34.36 tff(16882,plain,
% 54.17/34.36 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB85)) | (~v130(constB85, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB85)) | (~v130(constB85, 1)))),
% 54.17/34.36 inference(rewrite,[status(thm)],[])).
% 54.17/34.36 tff(16883,plain,
% 54.17/34.36 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB85)) | (~v130(constB85, 1)))),
% 54.17/34.36 inference(quant_inst,[status(thm)],[])).
% 54.17/34.36 tff(16884,plain,
% 54.17/34.36 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB85)) | (~v130(constB85, 1))),
% 54.17/34.36 inference(modus_ponens,[status(thm)],[16883, 16882])).
% 54.17/34.36 tff(16885,plain,
% 54.17/34.36 (~v130(constB85, 1)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16884, 2581, 16881])).
% 54.17/34.36 tff(16886,plain,
% 54.17/34.36 (~v127(constB85, 1)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16167, 16885])).
% 54.17/34.36 tff(16887,plain,
% 54.17/34.36 (v127(constB85, 2)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16593, 16568, 16184, 16571, 16183])).
% 54.17/34.36 tff(16888,plain,
% 54.17/34.36 ((~v127(constB85, 2)) | v130(constB85, 2)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16601, 1190, 16568])).
% 54.17/34.36 tff(16889,plain,
% 54.17/34.36 (v130(constB85, 2)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16888, 16887])).
% 54.17/34.36 tff(16890,assumption,(~v127(constB85, 1)), introduced(assumption)).
% 54.17/34.36 tff(16891,plain,
% 54.17/34.36 (v26(constB85) | (~v130(constB85, 1))),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16359, 1593, 16890])).
% 54.17/34.36 tff(16892,plain,
% 54.17/34.36 (~v130(constB85, 1)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16891, 16568])).
% 54.17/34.36 tff(16893,plain,
% 54.17/34.36 (~v121(constB85)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16364, 1877, 16892])).
% 54.17/34.36 tff(16894,plain,
% 54.17/34.36 (~v119(constB85)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16606, 1176, 16889])).
% 54.17/34.36 tff(16895,plain,
% 54.17/34.36 (v123(constB85)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16627, 16894, 16893, 16889])).
% 54.17/34.36 tff(16896,plain,
% 54.17/34.36 (v130(constB85, 0)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16864, 2622, 16895])).
% 54.17/34.36 tff(16897,plain,
% 54.17/34.36 ((~v130(constB85, 0)) | v127(constB85, 0)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16843, 1347, 16568])).
% 54.17/34.36 tff(16898,plain,
% 54.17/34.36 (v127(constB85, 0)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16897, 16896])).
% 54.17/34.36 tff(16899,plain,
% 54.17/34.36 (v129(constB86, 0)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16839, 16898])).
% 54.17/34.36 tff(16900,assumption,(~v90(constB86, 0)), introduced(assumption)).
% 54.17/34.36 tff(16901,plain,
% 54.17/34.36 ((~v129(constB86, 0)) | (~v100(constB86))),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16834, 1377, 16900])).
% 54.17/34.36 tff(16902,plain,
% 54.17/34.36 (~v100(constB86)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16901, 16899])).
% 54.17/34.36 tff(16903,plain,
% 54.17/34.36 (~v110(constB86)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16131, 16902])).
% 54.17/34.36 tff(16904,plain,
% 54.17/34.36 (~v108(constB85)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16105, 16903])).
% 54.17/34.36 tff(16905,plain,
% 54.17/34.36 (~v112(constB85)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16094, 1075, 16904])).
% 54.17/34.36 tff(16906,plain,
% 54.17/34.36 (v112(constB85) | (~v113(constB85))),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16086, 1063, 16568])).
% 54.17/34.36 tff(16907,plain,
% 54.17/34.36 (~v113(constB85)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16906, 16905])).
% 54.17/34.36 tff(16908,plain,
% 54.17/34.36 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB85) | (~v123(constB85)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB85) | (~v123(constB85)))),
% 54.17/34.36 inference(rewrite,[status(thm)],[])).
% 54.17/34.36 tff(16909,plain,
% 54.17/34.36 (((~v123(constB85)) | v115(constB85)) <=> (v115(constB85) | (~v123(constB85)))),
% 54.17/34.36 inference(rewrite,[status(thm)],[])).
% 54.17/34.36 tff(16910,plain,
% 54.17/34.36 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB85)) | v115(constB85))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB85) | (~v123(constB85))))),
% 54.17/34.36 inference(monotonicity,[status(thm)],[16909])).
% 54.17/34.36 tff(16911,plain,
% 54.17/34.36 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB85)) | v115(constB85))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB85) | (~v123(constB85)))),
% 54.17/34.36 inference(transitivity,[status(thm)],[16910, 16908])).
% 54.17/34.36 tff(16912,plain,
% 54.17/34.36 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB85)) | v115(constB85))),
% 54.17/34.36 inference(quant_inst,[status(thm)],[])).
% 54.17/34.36 tff(16913,plain,
% 54.17/34.36 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB85) | (~v123(constB85))),
% 54.17/34.36 inference(modus_ponens,[status(thm)],[16912, 16911])).
% 54.17/34.36 tff(16914,plain,
% 54.17/34.36 (v115(constB85)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16913, 2291, 16895])).
% 54.17/34.36 tff(16915,plain,
% 54.17/34.36 (v114(constB85)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16333, 1035, 16914])).
% 54.17/34.36 tff(16916,plain,
% 54.17/34.36 ($false),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16326, 1049, 16915, 16907])).
% 54.17/34.36 tff(16917,plain,(v26(constB85) | v90(constB86, 0) | v90(constB86, 1) | (~v90(constB86, 2)) | v90(constB85, 0) | v127(constB85, 1)), inference(lemma,lemma(discharge,[]))).
% 54.17/34.36 tff(16918,plain,
% 54.17/34.36 (v90(constB86, 0) | v90(constB86, 1) | (~v90(constB86, 2)) | v90(constB85, 0) | v127(constB85, 1)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16917, 16080])).
% 54.17/34.36 tff(16919,plain,
% 54.17/34.36 (v90(constB86, 0)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16918, 16886, 16184, 16183, 16867])).
% 54.17/34.36 tff(16920,plain,
% 54.17/34.36 (v90(constB87, 0)),
% 54.17/34.36 inference(unit_resolution,[status(thm)],[16827, 16919])).
% 54.17/34.36 tff(16921,plain,
% 54.17/34.36 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB87, 0)) | v90(constB87, 1) | (~v90(constB87, 2)) | v124(constB87))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB87, 0)) | v90(constB87, 1) | (~v90(constB87, 2)) | v124(constB87))),
% 54.17/34.36 inference(rewrite,[status(thm)],[])).
% 54.17/34.36 tff(16922,plain,
% 54.17/34.36 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB87, 0)) | v90(constB87, 1) | (~v90(constB87, 2)) | v124(constB87))),
% 54.17/34.36 inference(quant_inst,[status(thm)],[])).
% 54.17/34.36 tff(16923,plain,
% 54.17/34.36 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB87, 0)) | v90(constB87, 1) | (~v90(constB87, 2)) | v124(constB87)),
% 54.17/34.37 inference(modus_ponens,[status(thm)],[16922, 16921])).
% 54.17/34.37 tff(16924,plain,
% 54.17/34.37 ((~v90(constB87, 0)) | (~v90(constB87, 2)) | v124(constB87)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16923, 2663, 16671])).
% 54.17/34.37 tff(16925,plain,
% 54.17/34.37 (v124(constB87)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16924, 16920, 16876])).
% 54.17/34.37 tff(16926,plain,
% 54.17/34.37 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB87) | (~v124(constB87)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB87) | (~v124(constB87)))),
% 54.17/34.37 inference(rewrite,[status(thm)],[])).
% 54.17/34.37 tff(16927,plain,
% 54.17/34.37 (((~v124(constB87)) | v114(constB87)) <=> (v114(constB87) | (~v124(constB87)))),
% 54.17/34.37 inference(rewrite,[status(thm)],[])).
% 54.17/34.37 tff(16928,plain,
% 54.17/34.37 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB87)) | v114(constB87))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB87) | (~v124(constB87))))),
% 54.17/34.37 inference(monotonicity,[status(thm)],[16927])).
% 54.17/34.37 tff(16929,plain,
% 54.17/34.37 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB87)) | v114(constB87))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB87) | (~v124(constB87)))),
% 54.17/34.37 inference(transitivity,[status(thm)],[16928, 16926])).
% 54.17/34.37 tff(16930,plain,
% 54.17/34.37 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB87)) | v114(constB87))),
% 54.17/34.37 inference(quant_inst,[status(thm)],[])).
% 54.17/34.37 tff(16931,plain,
% 54.17/34.37 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB87) | (~v124(constB87))),
% 54.17/34.37 inference(modus_ponens,[status(thm)],[16930, 16929])).
% 54.17/34.37 tff(16932,plain,
% 54.17/34.37 (v114(constB87)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16931, 2674, 16925])).
% 54.17/34.37 tff(16933,plain,
% 54.17/34.37 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB87)) | (~v130(constB87, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB87)) | (~v130(constB87, 0)))),
% 54.17/34.37 inference(rewrite,[status(thm)],[])).
% 54.17/34.37 tff(16934,plain,
% 54.17/34.37 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB87)) | (~v130(constB87, 0)))),
% 54.17/34.37 inference(quant_inst,[status(thm)],[])).
% 54.17/34.37 tff(16935,plain,
% 54.17/34.37 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB87)) | (~v130(constB87, 0))),
% 54.17/34.37 inference(modus_ponens,[status(thm)],[16934, 16933])).
% 54.17/34.37 tff(16936,plain,
% 54.17/34.37 (~v130(constB87, 0)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16935, 3274, 16925])).
% 54.17/34.37 tff(16937,plain,
% 54.17/34.37 (~v127(constB87, 0)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16686, 16936])).
% 54.17/34.37 tff(16938,plain,
% 54.17/34.37 (~v129(constB88, 0)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16694, 16937])).
% 54.17/34.37 tff(16939,plain,
% 54.17/34.37 (~v100(constB88)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16702, 16938])).
% 54.17/34.37 tff(16940,plain,
% 54.17/34.37 (~v110(constB88)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16725, 16939])).
% 54.17/34.37 tff(16941,plain,
% 54.17/34.37 (~v108(constB87)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16733, 16940])).
% 54.17/34.37 tff(16942,plain,
% 54.17/34.37 (~v113(constB87)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16759, 16941])).
% 54.17/34.37 tff(16943,plain,
% 54.17/34.37 ($false),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16766, 1049, 16942, 16932])).
% 54.17/34.37 tff(16944,plain,((~v90(constB88, 0)) | v26(constB87) | v90(constB86, 1) | v90(constB85, 0)), inference(lemma,lemma(discharge,[]))).
% 54.17/34.37 tff(16945,plain,
% 54.17/34.37 (~v90(constB88, 0)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16944, 16673, 16183, 16184])).
% 54.17/34.37 tff(16946,assumption,(~v90(constB87, 1)), introduced(assumption)).
% 54.17/34.37 tff(16947,plain,
% 54.17/34.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB86, 1)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB86, 1)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, 1))),
% 54.17/34.37 inference(rewrite,[status(thm)],[])).
% 54.17/34.37 tff(16948,plain,
% 54.17/34.37 (((~nextState(constB86, constB87)) | (~v90(constB86, 1)) | v100(constB87) | v90(constB87, 1)) <=> ((~v90(constB86, 1)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, 1))),
% 54.17/34.37 inference(rewrite,[status(thm)],[])).
% 54.17/34.37 tff(16949,plain,
% 54.17/34.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB86, constB87)) | (~v90(constB86, 1)) | v100(constB87) | v90(constB87, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB86, 1)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, 1)))),
% 54.17/34.37 inference(monotonicity,[status(thm)],[16948])).
% 54.17/34.37 tff(16950,plain,
% 54.17/34.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB86, constB87)) | (~v90(constB86, 1)) | v100(constB87) | v90(constB87, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB86, 1)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, 1))),
% 54.17/34.37 inference(transitivity,[status(thm)],[16949, 16947])).
% 54.17/34.37 tff(16951,plain,
% 54.17/34.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB86, constB87)) | (~v90(constB86, 1)) | v100(constB87) | v90(constB87, 1))),
% 54.17/34.37 inference(quant_inst,[status(thm)],[])).
% 54.17/34.37 tff(16952,plain,
% 54.17/34.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB86, 1)) | (~nextState(constB86, constB87)) | v100(constB87) | v90(constB87, 1)),
% 54.17/34.37 inference(modus_ponens,[status(thm)],[16951, 16950])).
% 54.17/34.37 tff(16953,plain,
% 54.17/34.37 ((~v90(constB86, 1)) | v100(constB87) | v90(constB87, 1)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16952, 1641, 16650])).
% 54.17/34.37 tff(16954,plain,
% 54.17/34.37 ((~v90(constB86, 1)) | v90(constB87, 1)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16953, 16662])).
% 54.17/34.37 tff(16955,plain,
% 54.17/34.37 (~v90(constB86, 1)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16954, 16946])).
% 54.17/34.37 tff(16956,assumption,(~v90(constB88, 0)), introduced(assumption)).
% 54.17/34.37 tff(16957,assumption,(~v90(constB88, 1)), introduced(assumption)).
% 54.17/34.37 tff(16958,assumption,(v90(constB87, 0)), introduced(assumption)).
% 54.17/34.37 tff(16959,plain,
% 54.17/34.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB87, 0)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB87, 0)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, 0))),
% 54.17/34.37 inference(rewrite,[status(thm)],[])).
% 54.17/34.37 tff(16960,plain,
% 54.17/34.37 (((~nextState(constB87, constB88)) | (~v90(constB87, 0)) | v100(constB88) | v90(constB88, 0)) <=> ((~v90(constB87, 0)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, 0))),
% 54.17/34.37 inference(rewrite,[status(thm)],[])).
% 54.17/34.37 tff(16961,plain,
% 54.17/34.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB87, constB88)) | (~v90(constB87, 0)) | v100(constB88) | v90(constB88, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB87, 0)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, 0)))),
% 54.17/34.37 inference(monotonicity,[status(thm)],[16960])).
% 54.17/34.37 tff(16962,plain,
% 54.17/34.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB87, constB88)) | (~v90(constB87, 0)) | v100(constB88) | v90(constB88, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB87, 0)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, 0))),
% 54.17/34.37 inference(transitivity,[status(thm)],[16961, 16959])).
% 54.17/34.37 tff(16963,plain,
% 54.17/34.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB87, constB88)) | (~v90(constB87, 0)) | v100(constB88) | v90(constB88, 0))),
% 54.17/34.37 inference(quant_inst,[status(thm)],[])).
% 54.17/34.37 tff(16964,plain,
% 54.17/34.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB87, 0)) | (~nextState(constB87, constB88)) | v100(constB88) | v90(constB88, 0)),
% 54.17/34.37 inference(modus_ponens,[status(thm)],[16963, 16962])).
% 54.17/34.37 tff(16965,plain,
% 54.17/34.37 ((~v90(constB87, 0)) | v100(constB88) | v90(constB88, 0)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16964, 1395, 16690])).
% 54.17/34.37 tff(16966,plain,
% 54.17/34.37 (v100(constB88)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16965, 16958, 16956])).
% 54.17/34.37 tff(16967,plain,
% 54.17/34.37 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB88, 1) | (~v129(constB88, 1)) | (~v100(constB88)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB88, 1) | (~v129(constB88, 1)) | (~v100(constB88)))),
% 54.17/34.37 inference(rewrite,[status(thm)],[])).
% 54.17/34.37 tff(16968,plain,
% 54.17/34.37 ((v90(constB88, 1) | (~v100(constB88)) | (~v129(constB88, 1))) <=> (v90(constB88, 1) | (~v129(constB88, 1)) | (~v100(constB88)))),
% 54.17/34.37 inference(rewrite,[status(thm)],[])).
% 54.17/34.37 tff(16969,plain,
% 54.17/34.37 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB88, 1) | (~v100(constB88)) | (~v129(constB88, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB88, 1) | (~v129(constB88, 1)) | (~v100(constB88))))),
% 54.17/34.37 inference(monotonicity,[status(thm)],[16968])).
% 54.17/34.37 tff(16970,plain,
% 54.17/34.37 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB88, 1) | (~v100(constB88)) | (~v129(constB88, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB88, 1) | (~v129(constB88, 1)) | (~v100(constB88)))),
% 54.17/34.37 inference(transitivity,[status(thm)],[16969, 16967])).
% 54.17/34.37 tff(16971,plain,
% 54.17/34.37 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB88, 1) | (~v100(constB88)) | (~v129(constB88, 1)))),
% 54.17/34.37 inference(quant_inst,[status(thm)],[])).
% 54.17/34.37 tff(16972,plain,
% 54.17/34.37 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB88, 1) | (~v129(constB88, 1)) | (~v100(constB88))),
% 54.17/34.37 inference(modus_ponens,[status(thm)],[16971, 16970])).
% 54.17/34.37 tff(16973,plain,
% 54.17/34.37 ((~v129(constB88, 1)) | (~v100(constB88))),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16972, 1623, 16957])).
% 54.17/34.37 tff(16974,plain,
% 54.17/34.37 (~v129(constB88, 1)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16973, 16966])).
% 54.17/34.37 tff(16975,plain,
% 54.17/34.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB87, constB88)) | (~v127(constB87, 1)) | v129(constB88, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB87, constB88)) | (~v127(constB87, 1)) | v129(constB88, 1))),
% 54.17/34.37 inference(rewrite,[status(thm)],[])).
% 54.17/34.37 tff(16976,plain,
% 54.17/34.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB87, constB88)) | (~v127(constB87, 1)) | v129(constB88, 1))),
% 54.17/34.37 inference(quant_inst,[status(thm)],[])).
% 54.17/34.37 tff(16977,plain,
% 54.17/34.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB87, constB88)) | (~v127(constB87, 1)) | v129(constB88, 1)),
% 54.17/34.37 inference(modus_ponens,[status(thm)],[16976, 16975])).
% 54.17/34.37 tff(16978,plain,
% 54.17/34.37 ((~v127(constB87, 1)) | v129(constB88, 1)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16977, 1608, 16690])).
% 54.17/34.37 tff(16979,plain,
% 54.17/34.37 (~v127(constB87, 1)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16978, 16974])).
% 54.17/34.37 tff(16980,plain,
% 54.17/34.37 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB87) | (~v130(constB87, 1)) | v127(constB87, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB87) | (~v130(constB87, 1)) | v127(constB87, 1))),
% 54.17/34.37 inference(rewrite,[status(thm)],[])).
% 54.17/34.37 tff(16981,plain,
% 54.17/34.37 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB87) | (~v130(constB87, 1)) | v127(constB87, 1))),
% 54.17/34.37 inference(quant_inst,[status(thm)],[])).
% 54.17/34.37 tff(16982,plain,
% 54.17/34.37 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB87) | (~v130(constB87, 1)) | v127(constB87, 1)),
% 54.17/34.37 inference(modus_ponens,[status(thm)],[16981, 16980])).
% 54.17/34.37 tff(16983,plain,
% 54.17/34.37 ((~v130(constB87, 1)) | v127(constB87, 1)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16982, 1593, 16673])).
% 54.17/34.37 tff(16984,plain,
% 54.17/34.37 (~v130(constB87, 1)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16983, 16979])).
% 54.17/34.37 tff(16985,assumption,(~v90(constB87, 2)), introduced(assumption)).
% 54.17/34.37 tff(16986,plain,
% 54.17/34.37 ((~v90(constB87, 0)) | v90(constB87, 2) | v120(constB87)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16817, 1414, 16946])).
% 54.17/34.37 tff(16987,plain,
% 54.17/34.37 (v120(constB87)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16986, 16958, 16985])).
% 54.17/34.37 tff(16988,plain,
% 54.17/34.37 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB87)) | v130(constB87, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB87)) | v130(constB87, 1))),
% 54.17/34.37 inference(rewrite,[status(thm)],[])).
% 54.17/34.37 tff(16989,plain,
% 54.17/34.37 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB87)) | v130(constB87, 1))),
% 54.17/34.37 inference(quant_inst,[status(thm)],[])).
% 54.17/34.37 tff(16990,plain,
% 54.17/34.37 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB87)) | v130(constB87, 1)),
% 54.17/34.37 inference(modus_ponens,[status(thm)],[16989, 16988])).
% 54.17/34.37 tff(16991,plain,
% 54.17/34.37 ($false),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16990, 1579, 16987, 16984])).
% 54.17/34.37 tff(16992,plain,((~v90(constB87, 0)) | v26(constB87) | v90(constB88, 1) | v90(constB88, 0) | v90(constB87, 2) | v90(constB87, 1)), inference(lemma,lemma(discharge,[]))).
% 54.17/34.37 tff(16993,plain,
% 54.17/34.37 (~v90(constB87, 0)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16992, 16814, 16957, 16673, 16956, 16671])).
% 54.17/34.37 tff(16994,plain,
% 54.17/34.37 (~v90(constB86, 0)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16827, 16993])).
% 54.17/34.37 tff(16995,plain,
% 54.17/34.37 (~v129(constB86, 0)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16834, 1377, 16343, 16994])).
% 54.17/34.37 tff(16996,plain,
% 54.17/34.37 (~v127(constB85, 0)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16839, 16995])).
% 54.17/34.37 tff(16997,plain,
% 54.17/34.37 (~v130(constB85, 0)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16844, 16996])).
% 54.17/34.37 tff(16998,plain,
% 54.17/34.37 (v123(constB85)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16860, 16997, 16365, 16623, 16619, 16615])).
% 54.17/34.37 tff(16999,plain,
% 54.17/34.37 ($false),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16864, 2622, 16997, 16998])).
% 54.17/34.37 tff(17000,plain,(v90(constB86, 2) | v90(constB86, 1) | v90(constB88, 1) | v26(constB87) | v90(constB88, 0) | v90(constB85, 0)), inference(lemma,lemma(discharge,[]))).
% 54.17/34.37 tff(17001,plain,
% 54.17/34.37 (v90(constB86, 2)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[17000, 16956, 16957, 16673, 16184, 16183])).
% 54.17/34.37 tff(17002,plain,
% 54.17/34.37 (v127(constB85, 2)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16594, 17001, 16184, 16183])).
% 54.17/34.37 tff(17003,plain,
% 54.17/34.37 (v130(constB85, 2)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16602, 17002])).
% 54.17/34.37 tff(17004,plain,
% 54.17/34.37 (~v119(constB85)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16606, 1176, 17003])).
% 54.17/34.37 tff(17005,plain,
% 54.17/34.37 (~v121(constB85)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16610, 1821, 17003])).
% 54.17/34.37 tff(17006,plain,
% 54.17/34.37 (v123(constB85)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16627, 17005, 17003, 17004])).
% 54.17/34.37 tff(17007,plain,
% 54.17/34.37 (~v130(constB85, 1)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16884, 2581, 17006])).
% 54.17/34.37 tff(17008,plain,
% 54.17/34.37 (~v127(constB85, 1)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16167, 17007])).
% 54.17/34.37 tff(17009,plain,
% 54.17/34.37 (v90(constB86, 0)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16918, 17008, 16184, 16183, 17001])).
% 54.17/34.37 tff(17010,plain,
% 54.17/34.37 (v90(constB87, 0)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16827, 17009])).
% 54.17/34.37 tff(17011,plain,
% 54.17/34.37 (v100(constB88)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16965, 17010, 16956])).
% 54.17/34.37 tff(17012,plain,
% 54.17/34.37 (~v129(constB88, 1)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16973, 17011])).
% 54.17/34.37 tff(17013,plain,
% 54.17/34.37 (~v127(constB87, 1)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16978, 17012])).
% 54.17/34.37 tff(17014,plain,
% 54.17/34.37 (~v130(constB87, 1)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16983, 17013])).
% 54.17/34.37 tff(17015,plain,
% 54.17/34.37 (v90(constB87, 2)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16875, 17001])).
% 54.17/34.37 tff(17016,plain,
% 54.17/34.37 (v124(constB87)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16924, 17010, 17015])).
% 54.17/34.37 tff(17017,plain,
% 54.17/34.37 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB87)) | v130(constB87, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB87)) | v130(constB87, 1))),
% 54.17/34.37 inference(rewrite,[status(thm)],[])).
% 54.17/34.37 tff(17018,plain,
% 54.17/34.37 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB87)) | v130(constB87, 1))),
% 54.17/34.37 inference(quant_inst,[status(thm)],[])).
% 54.17/34.37 tff(17019,plain,
% 54.17/34.37 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB87)) | v130(constB87, 1)),
% 54.17/34.37 inference(modus_ponens,[status(thm)],[17018, 17017])).
% 54.17/34.37 tff(17020,plain,
% 54.17/34.37 ($false),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[17019, 2808, 17016, 17014])).
% 54.17/34.37 tff(17021,plain,(v90(constB88, 0) | v26(constB87) | v90(constB88, 1) | v90(constB86, 1) | v90(constB85, 0)), inference(lemma,lemma(discharge,[]))).
% 54.17/34.37 tff(17022,plain,
% 54.17/34.37 (v90(constB88, 1)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[17021, 16183, 16673, 16955, 16956])).
% 54.17/34.37 tff(17023,plain,
% 54.17/34.37 ((~v1(constB89)) <=> (~v1(constB89))),
% 54.17/34.37 inference(rewrite,[status(thm)],[])).
% 54.17/34.37 tff(17024,axiom,(~v1(constB89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_89_1_1')).
% 54.17/34.37 tff(17025,plain,
% 54.17/34.37 (~v1(constB89)),
% 54.17/34.37 inference(modus_ponens,[status(thm)],[17024, 17023])).
% 54.17/34.37 tff(17026,plain,
% 54.17/34.37 (nextState(constB88, constB89) <=> nextState(constB88, constB89)),
% 54.17/34.37 inference(rewrite,[status(thm)],[])).
% 54.17/34.37 tff(17027,axiom,(nextState(constB88, constB89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_88_1')).
% 54.17/34.37 tff(17028,plain,
% 54.17/34.37 (nextState(constB88, constB89)),
% 54.17/34.37 inference(modus_ponens,[status(thm)],[17027, 17026])).
% 54.17/34.37 tff(17029,plain,
% 54.17/34.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89)))),
% 54.17/34.37 inference(rewrite,[status(thm)],[])).
% 54.17/34.37 tff(17030,plain,
% 54.17/34.37 (((~nextState(constB88, constB89)) | (~v101(constB89)) | v1(constB89)) <=> (v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89)))),
% 54.17/34.37 inference(rewrite,[status(thm)],[])).
% 54.17/34.37 tff(17031,plain,
% 54.17/34.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB88, constB89)) | (~v101(constB89)) | v1(constB89))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89))))),
% 54.17/34.37 inference(monotonicity,[status(thm)],[17030])).
% 54.17/34.37 tff(17032,plain,
% 54.17/34.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB88, constB89)) | (~v101(constB89)) | v1(constB89))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89)))),
% 54.17/34.37 inference(transitivity,[status(thm)],[17031, 17029])).
% 54.17/34.37 tff(17033,plain,
% 54.17/34.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB88, constB89)) | (~v101(constB89)) | v1(constB89))),
% 54.17/34.37 inference(quant_inst,[status(thm)],[])).
% 54.17/34.37 tff(17034,plain,
% 54.17/34.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB89) | (~nextState(constB88, constB89)) | (~v101(constB89))),
% 54.17/34.37 inference(modus_ponens,[status(thm)],[17033, 17032])).
% 54.17/34.37 tff(17035,plain,
% 54.17/34.37 (~v101(constB89)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[17034, 873, 17028, 17025])).
% 54.17/34.37 tff(17036,plain,
% 54.17/34.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB88, constB89)) | v101(constB89) | (~v100(constB89)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB88, constB89)) | v101(constB89) | (~v100(constB89)))),
% 54.17/34.37 inference(rewrite,[status(thm)],[])).
% 54.17/34.37 tff(17037,plain,
% 54.17/34.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB88, constB89)) | v101(constB89) | (~v100(constB89)))),
% 54.17/34.37 inference(quant_inst,[status(thm)],[])).
% 54.17/34.37 tff(17038,plain,
% 54.17/34.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB88, constB89)) | v101(constB89) | (~v100(constB89))),
% 54.17/34.37 inference(modus_ponens,[status(thm)],[17037, 17036])).
% 54.17/34.37 tff(17039,plain,
% 54.17/34.37 (v101(constB89) | (~v100(constB89))),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[17038, 890, 17028])).
% 54.17/34.37 tff(17040,plain,
% 54.17/34.37 (~v100(constB89)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[17039, 17035])).
% 54.17/34.37 tff(17041,plain,
% 54.17/34.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB88, 1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB88, 1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, 1))),
% 54.17/34.37 inference(rewrite,[status(thm)],[])).
% 54.17/34.37 tff(17042,plain,
% 54.17/34.37 (((~nextState(constB88, constB89)) | (~v90(constB88, 1)) | v100(constB89) | v90(constB89, 1)) <=> ((~v90(constB88, 1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, 1))),
% 54.17/34.37 inference(rewrite,[status(thm)],[])).
% 54.17/34.37 tff(17043,plain,
% 54.17/34.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB88, constB89)) | (~v90(constB88, 1)) | v100(constB89) | v90(constB89, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB88, 1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, 1)))),
% 54.17/34.37 inference(monotonicity,[status(thm)],[17042])).
% 54.17/34.37 tff(17044,plain,
% 54.17/34.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB88, constB89)) | (~v90(constB88, 1)) | v100(constB89) | v90(constB89, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB88, 1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, 1))),
% 54.17/34.37 inference(transitivity,[status(thm)],[17043, 17041])).
% 54.17/34.37 tff(17045,plain,
% 54.17/34.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB88, constB89)) | (~v90(constB88, 1)) | v100(constB89) | v90(constB89, 1))),
% 54.17/34.37 inference(quant_inst,[status(thm)],[])).
% 54.17/34.37 tff(17046,plain,
% 54.17/34.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB88, 1)) | (~nextState(constB88, constB89)) | v100(constB89) | v90(constB89, 1)),
% 54.17/34.37 inference(modus_ponens,[status(thm)],[17045, 17044])).
% 54.17/34.37 tff(17047,plain,
% 54.17/34.37 ((~v90(constB88, 1)) | v100(constB89) | v90(constB89, 1)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[17046, 1641, 17028])).
% 54.17/34.37 tff(17048,plain,
% 54.17/34.37 ((~v90(constB88, 1)) | v90(constB89, 1)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[17047, 17040])).
% 54.17/34.37 tff(17049,plain,
% 54.17/34.37 (v90(constB89, 1)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[17048, 17022])).
% 54.17/34.37 tff(17050,plain,
% 54.17/34.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB88, 0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB88, 0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 0)))),
% 54.17/34.37 inference(rewrite,[status(thm)],[])).
% 54.17/34.37 tff(17051,plain,
% 54.17/34.37 (((~nextState(constB88, constB89)) | v90(constB88, 0) | v100(constB89) | (~v90(constB89, 0))) <=> (v90(constB88, 0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 0)))),
% 54.17/34.37 inference(rewrite,[status(thm)],[])).
% 54.17/34.37 tff(17052,plain,
% 54.17/34.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB88, constB89)) | v90(constB88, 0) | v100(constB89) | (~v90(constB89, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB88, 0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 0))))),
% 54.17/34.37 inference(monotonicity,[status(thm)],[17051])).
% 54.17/34.37 tff(17053,plain,
% 54.17/34.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB88, constB89)) | v90(constB88, 0) | v100(constB89) | (~v90(constB89, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB88, 0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 0)))),
% 54.17/34.37 inference(transitivity,[status(thm)],[17052, 17050])).
% 54.17/34.37 tff(17054,plain,
% 54.17/34.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB88, constB89)) | v90(constB88, 0) | v100(constB89) | (~v90(constB89, 0)))),
% 54.17/34.37 inference(quant_inst,[status(thm)],[])).
% 54.17/34.37 tff(17055,plain,
% 54.17/34.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB88, 0) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 0))),
% 54.17/34.37 inference(modus_ponens,[status(thm)],[17054, 17053])).
% 54.17/34.37 tff(17056,plain,
% 54.17/34.37 (v90(constB88, 0) | v100(constB89) | (~v90(constB89, 0))),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[17055, 947, 17028])).
% 54.17/34.37 tff(17057,plain,
% 54.17/34.37 (v90(constB88, 0) | (~v90(constB89, 0))),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[17056, 17040])).
% 54.17/34.37 tff(17058,plain,
% 54.17/34.37 (~v90(constB89, 0)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[17057, 16956])).
% 54.17/34.37 tff(17059,plain,
% 54.17/34.37 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB89, 0) | (~v90(constB89, 1)) | v90(constB89, 2) | v121(constB89))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB89, 0) | (~v90(constB89, 1)) | v90(constB89, 2) | v121(constB89))),
% 54.17/34.37 inference(rewrite,[status(thm)],[])).
% 54.17/34.37 tff(17060,plain,
% 54.17/34.37 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB89, 0) | (~v90(constB89, 1)) | v90(constB89, 2) | v121(constB89))),
% 54.17/34.37 inference(quant_inst,[status(thm)],[])).
% 54.17/34.37 tff(17061,plain,
% 54.17/34.37 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB89, 0) | (~v90(constB89, 1)) | v90(constB89, 2) | v121(constB89)),
% 54.17/34.37 inference(modus_ponens,[status(thm)],[17060, 17059])).
% 54.17/34.37 tff(17062,plain,
% 54.17/34.37 ((~v90(constB89, 1)) | v90(constB89, 2)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[17061, 1731, 17058, 16672])).
% 54.17/34.37 tff(17063,plain,
% 54.17/34.37 (v90(constB89, 2)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[17062, 17049])).
% 54.17/34.37 tff(17064,plain,
% 54.17/34.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB88, 2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB88, 2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 2)))),
% 54.17/34.37 inference(rewrite,[status(thm)],[])).
% 54.17/34.37 tff(17065,plain,
% 54.17/34.37 (((~nextState(constB88, constB89)) | v90(constB88, 2) | v100(constB89) | (~v90(constB89, 2))) <=> (v90(constB88, 2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 2)))),
% 54.17/34.37 inference(rewrite,[status(thm)],[])).
% 54.17/34.37 tff(17066,plain,
% 54.17/34.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB88, constB89)) | v90(constB88, 2) | v100(constB89) | (~v90(constB89, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB88, 2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 2))))),
% 54.17/34.37 inference(monotonicity,[status(thm)],[17065])).
% 54.17/34.37 tff(17067,plain,
% 54.17/34.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB88, constB89)) | v90(constB88, 2) | v100(constB89) | (~v90(constB89, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB88, 2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 2)))),
% 54.17/34.37 inference(transitivity,[status(thm)],[17066, 17064])).
% 54.17/34.37 tff(17068,plain,
% 54.17/34.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB88, constB89)) | v90(constB88, 2) | v100(constB89) | (~v90(constB89, 2)))),
% 54.17/34.37 inference(quant_inst,[status(thm)],[])).
% 54.17/34.37 tff(17069,plain,
% 54.17/34.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB88, 2) | (~nextState(constB88, constB89)) | v100(constB89) | (~v90(constB89, 2))),
% 54.17/34.37 inference(modus_ponens,[status(thm)],[17068, 17067])).
% 54.17/34.37 tff(17070,plain,
% 54.17/34.37 (v90(constB88, 2) | v100(constB89) | (~v90(constB89, 2))),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[17069, 905, 17028])).
% 54.17/34.37 tff(17071,plain,
% 54.17/34.37 (v90(constB88, 2) | (~v90(constB89, 2))),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[17070, 17040])).
% 54.17/34.37 tff(17072,plain,
% 54.17/34.37 (v90(constB88, 2)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[17071, 17063])).
% 54.17/34.37 tff(17073,plain,
% 54.17/34.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB87, 1) | (~nextState(constB87, constB88)) | v100(constB88) | (~v90(constB88, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB87, 1) | (~nextState(constB87, constB88)) | v100(constB88) | (~v90(constB88, 1)))),
% 54.17/34.37 inference(rewrite,[status(thm)],[])).
% 54.17/34.37 tff(17074,plain,
% 54.17/34.37 (((~nextState(constB87, constB88)) | v90(constB87, 1) | v100(constB88) | (~v90(constB88, 1))) <=> (v90(constB87, 1) | (~nextState(constB87, constB88)) | v100(constB88) | (~v90(constB88, 1)))),
% 54.17/34.37 inference(rewrite,[status(thm)],[])).
% 54.17/34.37 tff(17075,plain,
% 54.17/34.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB87, constB88)) | v90(constB87, 1) | v100(constB88) | (~v90(constB88, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB87, 1) | (~nextState(constB87, constB88)) | v100(constB88) | (~v90(constB88, 1))))),
% 54.17/34.37 inference(monotonicity,[status(thm)],[17074])).
% 54.17/34.37 tff(17076,plain,
% 54.17/34.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB87, constB88)) | v90(constB87, 1) | v100(constB88) | (~v90(constB88, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB87, 1) | (~nextState(constB87, constB88)) | v100(constB88) | (~v90(constB88, 1)))),
% 54.17/34.37 inference(transitivity,[status(thm)],[17075, 17073])).
% 54.17/34.37 tff(17077,plain,
% 54.17/34.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB87, constB88)) | v90(constB87, 1) | v100(constB88) | (~v90(constB88, 1)))),
% 54.17/34.37 inference(quant_inst,[status(thm)],[])).
% 54.17/34.37 tff(17078,plain,
% 54.17/34.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB87, 1) | (~nextState(constB87, constB88)) | v100(constB88) | (~v90(constB88, 1))),
% 54.17/34.37 inference(modus_ponens,[status(thm)],[17077, 17076])).
% 54.17/34.37 tff(17079,plain,
% 54.17/34.37 (v90(constB87, 1) | v100(constB88) | (~v90(constB88, 1))),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[17078, 926, 16690])).
% 54.17/34.37 tff(17080,plain,
% 54.17/34.37 (v100(constB88)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[17079, 17022, 16946])).
% 54.17/34.37 tff(17081,plain,
% 54.17/34.37 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB88, 2)) | v129(constB88, 2) | (~v100(constB88)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB88, 2)) | v129(constB88, 2) | (~v100(constB88)))),
% 54.17/34.37 inference(rewrite,[status(thm)],[])).
% 54.17/34.37 tff(17082,plain,
% 54.17/34.37 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB88, 2)) | v129(constB88, 2) | (~v100(constB88)))),
% 54.17/34.37 inference(quant_inst,[status(thm)],[])).
% 54.17/34.37 tff(17083,plain,
% 54.17/34.37 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB88, 2)) | v129(constB88, 2) | (~v100(constB88))),
% 54.17/34.37 inference(modus_ponens,[status(thm)],[17082, 17081])).
% 54.17/34.37 tff(17084,plain,
% 54.17/34.37 (v129(constB88, 2)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[17083, 1223, 17080, 17072])).
% 54.17/34.37 tff(17085,plain,
% 54.17/34.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB87, constB88)) | v127(constB87, 2) | (~v129(constB88, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB87, constB88)) | v127(constB87, 2) | (~v129(constB88, 2)))),
% 54.17/34.37 inference(rewrite,[status(thm)],[])).
% 54.17/34.37 tff(17086,plain,
% 54.17/34.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB87, constB88)) | v127(constB87, 2) | (~v129(constB88, 2)))),
% 54.17/34.37 inference(quant_inst,[status(thm)],[])).
% 54.17/34.37 tff(17087,plain,
% 54.17/34.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB87, constB88)) | v127(constB87, 2) | (~v129(constB88, 2))),
% 54.17/34.37 inference(modus_ponens,[status(thm)],[17086, 17085])).
% 54.17/34.37 tff(17088,plain,
% 54.17/34.37 (v127(constB87, 2) | (~v129(constB88, 2))),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[17087, 1208, 16690])).
% 54.17/34.37 tff(17089,plain,
% 54.17/34.37 (v127(constB87, 2)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[17088, 17084])).
% 54.17/34.37 tff(17090,plain,
% 54.17/34.37 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB87, 2)) | v26(constB87) | v130(constB87, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB87, 2)) | v26(constB87) | v130(constB87, 2))),
% 54.17/34.37 inference(rewrite,[status(thm)],[])).
% 54.17/34.37 tff(17091,plain,
% 54.17/34.37 ((v26(constB87) | v130(constB87, 2) | (~v127(constB87, 2))) <=> ((~v127(constB87, 2)) | v26(constB87) | v130(constB87, 2))),
% 54.17/34.37 inference(rewrite,[status(thm)],[])).
% 54.17/34.37 tff(17092,plain,
% 54.17/34.37 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB87) | v130(constB87, 2) | (~v127(constB87, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB87, 2)) | v26(constB87) | v130(constB87, 2)))),
% 54.17/34.37 inference(monotonicity,[status(thm)],[17091])).
% 54.17/34.37 tff(17093,plain,
% 54.17/34.37 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB87) | v130(constB87, 2) | (~v127(constB87, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB87, 2)) | v26(constB87) | v130(constB87, 2))),
% 54.17/34.37 inference(transitivity,[status(thm)],[17092, 17090])).
% 54.17/34.37 tff(17094,plain,
% 54.17/34.37 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB87) | v130(constB87, 2) | (~v127(constB87, 2)))),
% 54.17/34.37 inference(quant_inst,[status(thm)],[])).
% 54.17/34.37 tff(17095,plain,
% 54.17/34.37 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB87, 2)) | v26(constB87) | v130(constB87, 2)),
% 54.17/34.37 inference(modus_ponens,[status(thm)],[17094, 17093])).
% 54.17/34.37 tff(17096,plain,
% 54.17/34.37 ((~v127(constB87, 2)) | v130(constB87, 2)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[17095, 1190, 16673])).
% 54.17/34.37 tff(17097,plain,
% 54.17/34.37 (v130(constB87, 2)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[17096, 17089])).
% 54.17/34.37 tff(17098,plain,
% 54.17/34.37 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB87)) | (~v130(constB87, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB87)) | (~v130(constB87, 2)))),
% 54.17/34.37 inference(rewrite,[status(thm)],[])).
% 54.17/34.37 tff(17099,plain,
% 54.17/34.37 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB87)) | (~v130(constB87, 2)))),
% 54.17/34.37 inference(quant_inst,[status(thm)],[])).
% 54.17/34.37 tff(17100,plain,
% 54.17/34.37 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB87)) | (~v130(constB87, 2))),
% 54.17/34.37 inference(modus_ponens,[status(thm)],[17099, 17098])).
% 54.17/34.37 tff(17101,plain,
% 54.17/34.37 (~v120(constB87)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[17100, 1523, 17097])).
% 54.17/34.37 tff(17102,plain,
% 54.17/34.37 (v90(constB86, 2)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16866, 17101, 16955, 16183])).
% 54.17/34.37 tff(17103,plain,
% 54.17/34.37 (v127(constB85, 2)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16594, 17102, 16955, 16183])).
% 54.17/34.37 tff(17104,plain,
% 54.17/34.37 (v130(constB85, 2)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16602, 17103])).
% 54.17/34.37 tff(17105,plain,
% 54.17/34.37 (~v119(constB85)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16606, 1176, 17104])).
% 54.17/34.37 tff(17106,plain,
% 54.17/34.37 (~v121(constB85)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16610, 1821, 17104])).
% 54.17/34.37 tff(17107,plain,
% 54.17/34.37 (v123(constB85)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16627, 17106, 17104, 17105])).
% 54.17/34.37 tff(17108,plain,
% 54.17/34.37 (~v90(constB85, 1)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16151, 2879, 17107])).
% 54.17/34.37 tff(17109,plain,
% 54.17/34.37 (~v90(constB84, 1)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16064, 17108])).
% 54.17/34.37 tff(17110,assumption,(v90(constB83, 0)), introduced(assumption)).
% 54.17/34.37 tff(17111,plain,
% 54.17/34.37 (v100(constB84)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16467, 16245, 17110])).
% 54.17/34.37 tff(17112,plain,
% 54.17/34.37 (v90(constB84, 1) | (~v129(constB84, 1))),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16054, 1623, 17111])).
% 54.17/34.37 tff(17113,plain,
% 54.17/34.37 (~v129(constB84, 1)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[17112, 17109])).
% 54.17/34.37 tff(17114,plain,
% 54.17/34.37 (~v127(constB83, 1)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16047, 17113])).
% 54.17/34.37 tff(17115,plain,
% 54.17/34.37 (v26(constB83) | v127(constB83, 1)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16041, 1593, 16182])).
% 54.17/34.37 tff(17116,plain,
% 54.17/34.37 (v26(constB83)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[17115, 17114])).
% 54.17/34.37 tff(17117,plain,
% 54.17/34.37 (v90(constB85, 2)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16631, 3763, 17107])).
% 54.17/34.37 tff(17118,plain,
% 54.17/34.37 (v90(constB84, 2)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[16563, 17117])).
% 54.17/34.37 tff(17119,plain,
% 54.17/34.37 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB84, 2)) | v129(constB84, 2) | (~v100(constB84)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB84, 2)) | v129(constB84, 2) | (~v100(constB84)))),
% 54.17/34.37 inference(rewrite,[status(thm)],[])).
% 54.17/34.37 tff(17120,plain,
% 54.17/34.37 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB84, 2)) | v129(constB84, 2) | (~v100(constB84)))),
% 54.17/34.37 inference(quant_inst,[status(thm)],[])).
% 54.17/34.37 tff(17121,plain,
% 54.17/34.37 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB84, 2)) | v129(constB84, 2) | (~v100(constB84))),
% 54.17/34.37 inference(modus_ponens,[status(thm)],[17120, 17119])).
% 54.17/34.37 tff(17122,plain,
% 54.17/34.37 ((~v90(constB84, 2)) | v129(constB84, 2)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[17121, 1223, 17111])).
% 54.17/34.37 tff(17123,plain,
% 54.17/34.37 (v129(constB84, 2)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[17122, 17118])).
% 54.17/34.37 tff(17124,plain,
% 54.17/34.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB83, constB84)) | v127(constB83, 2) | (~v129(constB84, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB83, constB84)) | v127(constB83, 2) | (~v129(constB84, 2)))),
% 54.17/34.37 inference(rewrite,[status(thm)],[])).
% 54.17/34.37 tff(17125,plain,
% 54.17/34.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB83, constB84)) | v127(constB83, 2) | (~v129(constB84, 2)))),
% 54.17/34.37 inference(quant_inst,[status(thm)],[])).
% 54.17/34.37 tff(17126,plain,
% 54.17/34.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB83, constB84)) | v127(constB83, 2) | (~v129(constB84, 2))),
% 54.17/34.37 inference(modus_ponens,[status(thm)],[17125, 17124])).
% 54.17/34.37 tff(17127,plain,
% 54.17/34.37 (v127(constB83, 2) | (~v129(constB84, 2))),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[17126, 1208, 15908])).
% 54.17/34.37 tff(17128,plain,
% 54.17/34.37 (v127(constB83, 2)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[17127, 17123])).
% 54.17/34.37 tff(17129,plain,
% 54.17/34.37 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | ((~v26(constB83)) | (~v127(constB83, 2)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | (~v26(constB83)) | (~v127(constB83, 2)))),
% 54.17/34.37 inference(rewrite,[status(thm)],[])).
% 54.17/34.37 tff(17130,plain,
% 54.17/34.37 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | ((~v26(constB83)) | (~v127(constB83, 2)))),
% 54.17/34.37 inference(quant_inst,[status(thm)],[])).
% 54.17/34.37 tff(17131,plain,
% 54.17/34.37 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | (~v26(constB83)) | (~v127(constB83, 2))),
% 54.17/34.37 inference(modus_ponens,[status(thm)],[17130, 17129])).
% 54.17/34.37 tff(17132,plain,
% 54.17/34.37 ($false),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[17131, 3715, 17128, 17116])).
% 54.17/34.37 tff(17133,plain,(v90(constB85, 0) | (~v130(constB83, 1)) | v26(constB87) | v121(constB89) | v90(constB87, 1) | (~v90(constB83, 0)) | v90(constB88, 0)), inference(lemma,lemma(discharge,[]))).
% 54.17/34.37 tff(17134,plain,
% 54.17/34.37 ($false),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[17133, 16945, 16673, 16672, 16183, 16671, 16644, 16182])).
% 54.17/34.37 tff(17135,plain,(v26(constB87) | v121(constB89) | v90(constB85, 0) | (~v130(constB83, 1)) | v90(constB86, 1)), inference(lemma,lemma(discharge,[]))).
% 54.17/34.37 tff(17136,plain,
% 54.17/34.37 (v121(constB89)),
% 54.17/34.37 inference(unit_resolution,[status(thm)],[17135, 16181, 16007, 16003, 15999])).
% 54.17/34.37 tff(17137,assumption,(v121(constB89)), introduced(assumption)).
% 54.17/34.37 tff(17138,plain,
% 54.17/34.37 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB89) | (~v121(constB89)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB89) | (~v121(constB89)))),
% 54.17/34.37 inference(rewrite,[status(thm)],[])).
% 54.17/34.37 tff(17139,plain,
% 54.17/34.37 (((~v121(constB89)) | v117(constB89)) <=> (v117(constB89) | (~v121(constB89)))),
% 54.17/34.37 inference(rewrite,[status(thm)],[])).
% 54.17/34.37 tff(17140,plain,
% 54.17/34.37 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB89)) | v117(constB89))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB89) | (~v121(constB89))))),
% 54.17/34.37 inference(monotonicity,[status(thm)],[17139])).
% 54.17/34.37 tff(17141,plain,
% 54.17/34.37 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB89)) | v117(constB89))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB89) | (~v121(constB89)))),
% 54.17/34.37 inference(transitivity,[status(thm)],[17140, 17138])).
% 54.17/34.38 tff(17142,plain,
% 54.17/34.38 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB89)) | v117(constB89))),
% 54.17/34.38 inference(quant_inst,[status(thm)],[])).
% 54.17/34.38 tff(17143,plain,
% 54.17/34.38 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB89) | (~v121(constB89))),
% 54.17/34.38 inference(modus_ponens,[status(thm)],[17142, 17141])).
% 54.17/34.38 tff(17144,plain,
% 54.17/34.38 (v117(constB89)),
% 54.17/34.38 inference(unit_resolution,[status(thm)],[17143, 1742, 17137])).
% 54.17/34.38 tff(17145,plain,
% 54.17/34.38 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB89) | (~v117(constB89)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB89) | (~v117(constB89)))),
% 54.17/34.38 inference(rewrite,[status(thm)],[])).
% 54.17/34.38 tff(17146,plain,
% 54.17/34.38 (((~v117(constB89)) | v116(constB89)) <=> (v116(constB89) | (~v117(constB89)))),
% 54.17/34.38 inference(rewrite,[status(thm)],[])).
% 54.17/34.38 tff(17147,plain,
% 54.17/34.38 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB89)) | v116(constB89))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB89) | (~v117(constB89))))),
% 54.17/34.38 inference(monotonicity,[status(thm)],[17146])).
% 54.17/34.38 tff(17148,plain,
% 54.17/34.38 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB89)) | v116(constB89))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB89) | (~v117(constB89)))),
% 54.17/34.38 inference(transitivity,[status(thm)],[17147, 17145])).
% 54.17/34.38 tff(17149,plain,
% 54.17/34.38 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB89)) | v116(constB89))),
% 54.17/34.38 inference(quant_inst,[status(thm)],[])).
% 54.17/34.38 tff(17150,plain,
% 54.17/34.38 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB89) | (~v117(constB89))),
% 54.17/34.38 inference(modus_ponens,[status(thm)],[17149, 17148])).
% 54.17/34.38 tff(17151,plain,
% 54.17/34.38 (v116(constB89)),
% 54.17/34.38 inference(unit_resolution,[status(thm)],[17150, 1007, 17144])).
% 54.17/34.38 tff(17152,plain,
% 54.17/34.38 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB89)) | v115(constB89))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB89)) | v115(constB89))),
% 54.17/34.38 inference(rewrite,[status(thm)],[])).
% 54.17/34.38 tff(17153,plain,
% 54.17/34.38 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB89)) | v115(constB89))),
% 54.17/34.38 inference(quant_inst,[status(thm)],[])).
% 54.17/34.38 tff(17154,plain,
% 54.17/34.38 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB89)) | v115(constB89)),
% 54.17/34.38 inference(modus_ponens,[status(thm)],[17153, 17152])).
% 54.17/34.38 tff(17155,plain,
% 54.17/34.38 (v115(constB89)),
% 54.17/34.38 inference(unit_resolution,[status(thm)],[17154, 1021, 17151])).
% 54.17/34.38 tff(17156,plain,
% 54.17/34.38 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB89) | (~v115(constB89)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB89) | (~v115(constB89)))),
% 54.17/34.38 inference(rewrite,[status(thm)],[])).
% 54.17/34.38 tff(17157,plain,
% 54.17/34.38 (((~v115(constB89)) | v114(constB89)) <=> (v114(constB89) | (~v115(constB89)))),
% 54.17/34.38 inference(rewrite,[status(thm)],[])).
% 54.17/34.38 tff(17158,plain,
% 54.17/34.38 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB89)) | v114(constB89))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB89) | (~v115(constB89))))),
% 54.17/34.38 inference(monotonicity,[status(thm)],[17157])).
% 54.17/34.38 tff(17159,plain,
% 54.17/34.38 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB89)) | v114(constB89))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB89) | (~v115(constB89)))),
% 54.17/34.38 inference(transitivity,[status(thm)],[17158, 17156])).
% 54.17/34.38 tff(17160,plain,
% 54.17/34.38 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB89)) | v114(constB89))),
% 54.17/34.38 inference(quant_inst,[status(thm)],[])).
% 54.17/34.38 tff(17161,plain,
% 54.17/34.38 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB89) | (~v115(constB89))),
% 54.17/34.38 inference(modus_ponens,[status(thm)],[17160, 17159])).
% 54.17/34.38 tff(17162,plain,
% 54.17/34.38 (v114(constB89)),
% 54.17/34.38 inference(unit_resolution,[status(thm)],[17161, 1035, 17155])).
% 54.17/34.38 tff(17163,plain,
% 54.17/34.38 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB89) | (~v114(constB89)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB89) | (~v114(constB89)))),
% 54.17/34.38 inference(rewrite,[status(thm)],[])).
% 54.17/34.38 tff(17164,plain,
% 54.17/34.38 (((~v114(constB89)) | v113(constB89)) <=> (v113(constB89) | (~v114(constB89)))),
% 54.17/34.38 inference(rewrite,[status(thm)],[])).
% 54.17/34.38 tff(17165,plain,
% 54.17/34.38 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB89)) | v113(constB89))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB89) | (~v114(constB89))))),
% 54.17/34.38 inference(monotonicity,[status(thm)],[17164])).
% 54.17/34.38 tff(17166,plain,
% 54.17/34.38 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB89)) | v113(constB89))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB89) | (~v114(constB89)))),
% 54.17/34.38 inference(transitivity,[status(thm)],[17165, 17163])).
% 54.17/34.38 tff(17167,plain,
% 54.17/34.38 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB89)) | v113(constB89))),
% 54.17/34.38 inference(quant_inst,[status(thm)],[])).
% 54.17/34.38 tff(17168,plain,
% 54.17/34.38 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB89) | (~v114(constB89))),
% 54.17/34.38 inference(modus_ponens,[status(thm)],[17167, 17166])).
% 54.17/34.38 tff(17169,plain,
% 54.17/34.38 (v113(constB89)),
% 54.17/34.38 inference(unit_resolution,[status(thm)],[17168, 1049, 17162])).
% 54.17/34.38 tff(17170,assumption,(v26(constB89)), introduced(assumption)).
% 54.17/34.38 tff(17171,plain,
% 54.17/34.38 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB89))),
% 54.17/34.38 inference(quant_inst,[status(thm)],[])).
% 54.17/34.38 tff(17172,plain,
% 54.17/34.38 ($false),
% 54.17/34.38 inference(unit_resolution,[status(thm)],[17171, 828, 17170])).
% 54.17/34.38 tff(17173,plain,(~v26(constB89)), inference(lemma,lemma(discharge,[]))).
% 54.17/34.38 tff(17174,plain,
% 54.17/34.38 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB89) | (~v113(constB89)) | v112(constB89))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB89) | (~v113(constB89)) | v112(constB89))),
% 54.17/34.38 inference(rewrite,[status(thm)],[])).
% 54.17/34.38 tff(17175,plain,
% 54.17/34.38 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB89) | (~v113(constB89)) | v112(constB89))),
% 54.17/34.38 inference(quant_inst,[status(thm)],[])).
% 54.17/34.38 tff(17176,plain,
% 54.17/34.38 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB89) | (~v113(constB89)) | v112(constB89)),
% 54.17/34.38 inference(modus_ponens,[status(thm)],[17175, 17174])).
% 54.17/34.38 tff(17177,plain,
% 54.17/34.38 ((~v113(constB89)) | v112(constB89)),
% 54.17/34.38 inference(unit_resolution,[status(thm)],[17176, 1063, 17173])).
% 54.17/34.38 tff(17178,plain,
% 54.17/34.38 (v112(constB89)),
% 54.17/34.38 inference(unit_resolution,[status(thm)],[17177, 17169])).
% 54.17/34.38 tff(17179,plain,
% 54.17/34.38 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB89) | (~v112(constB89)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB89) | (~v112(constB89)))),
% 54.17/34.38 inference(rewrite,[status(thm)],[])).
% 54.17/34.38 tff(17180,plain,
% 54.17/34.38 (((~v112(constB89)) | v108(constB89)) <=> (v108(constB89) | (~v112(constB89)))),
% 54.17/34.38 inference(rewrite,[status(thm)],[])).
% 54.17/34.38 tff(17181,plain,
% 54.17/34.38 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB89)) | v108(constB89))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB89) | (~v112(constB89))))),
% 54.17/34.38 inference(monotonicity,[status(thm)],[17180])).
% 54.17/34.38 tff(17182,plain,
% 54.17/34.38 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB89)) | v108(constB89))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB89) | (~v112(constB89)))),
% 54.17/34.38 inference(transitivity,[status(thm)],[17181, 17179])).
% 54.17/34.38 tff(17183,plain,
% 54.17/34.38 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB89)) | v108(constB89))),
% 54.17/34.38 inference(quant_inst,[status(thm)],[])).
% 54.17/34.38 tff(17184,plain,
% 54.17/34.38 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB89) | (~v112(constB89))),
% 54.17/34.38 inference(modus_ponens,[status(thm)],[17183, 17182])).
% 54.17/34.38 tff(17185,plain,
% 54.17/34.38 (v108(constB89)),
% 54.17/34.38 inference(unit_resolution,[status(thm)],[17184, 1075, 17178])).
% 54.17/34.38 tff(17186,plain,
% 54.17/34.38 (nextState(constB89, constB90) <=> nextState(constB89, constB90)),
% 54.17/34.38 inference(rewrite,[status(thm)],[])).
% 54.17/34.38 tff(17187,axiom,(nextState(constB89, constB90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_89_1')).
% 54.17/34.38 tff(17188,plain,
% 54.17/34.38 (nextState(constB89, constB90)),
% 54.17/34.38 inference(modus_ponens,[status(thm)],[17187, 17186])).
% 54.17/34.38 tff(17189,plain,
% 54.17/34.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89)))),
% 54.17/34.38 inference(rewrite,[status(thm)],[])).
% 54.17/34.38 tff(17190,plain,
% 54.17/34.38 (((~nextState(constB89, constB90)) | (~v108(constB89)) | v110(constB90)) <=> ((~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89)))),
% 54.17/34.38 inference(rewrite,[status(thm)],[])).
% 54.17/34.38 tff(17191,plain,
% 54.17/34.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB89, constB90)) | (~v108(constB89)) | v110(constB90))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89))))),
% 54.17/34.38 inference(monotonicity,[status(thm)],[17190])).
% 54.17/34.38 tff(17192,plain,
% 54.17/34.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB89, constB90)) | (~v108(constB89)) | v110(constB90))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89)))),
% 54.17/34.38 inference(transitivity,[status(thm)],[17191, 17189])).
% 54.17/34.38 tff(17193,plain,
% 54.17/34.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB89, constB90)) | (~v108(constB89)) | v110(constB90))),
% 54.17/34.38 inference(quant_inst,[status(thm)],[])).
% 54.17/34.38 tff(17194,plain,
% 54.17/34.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB89, constB90)) | v110(constB90) | (~v108(constB89))),
% 54.17/34.38 inference(modus_ponens,[status(thm)],[17193, 17192])).
% 54.17/34.38 tff(17195,plain,
% 54.17/34.38 (v110(constB90) | (~v108(constB89))),
% 54.17/34.38 inference(unit_resolution,[status(thm)],[17194, 1095, 17188])).
% 54.17/34.38 tff(17196,plain,
% 54.17/34.38 (v110(constB90)),
% 54.17/34.38 inference(unit_resolution,[status(thm)],[17195, 17185])).
% 54.17/34.38 tff(17197,plain,
% 54.17/34.38 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB89) | (~nextState(constB89, constB90)) | (~v104(constB90)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB89) | (~nextState(constB89, constB90)) | (~v104(constB90)))),
% 54.17/34.38 inference(rewrite,[status(thm)],[])).
% 54.17/34.38 tff(17198,plain,
% 54.17/34.38 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB89) | (~nextState(constB89, constB90)) | (~v104(constB90)))),
% 54.17/34.38 inference(quant_inst,[status(thm)],[])).
% 54.17/34.38 tff(17199,plain,
% 54.17/34.38 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB89) | (~nextState(constB89, constB90)) | (~v104(constB90))),
% 54.17/34.38 inference(modus_ponens,[status(thm)],[17198, 17197])).
% 54.17/34.38 tff(17200,plain,
% 54.17/34.38 (~v104(constB90)),
% 54.17/34.38 inference(unit_resolution,[status(thm)],[17199, 1113, 17188, 17025])).
% 54.17/34.38 tff(17201,plain,
% 54.17/34.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB89, constB90)) | v102(constB90) | v104(constB90))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB89, constB90)) | v102(constB90) | v104(constB90))),
% 54.17/34.38 inference(rewrite,[status(thm)],[])).
% 54.17/34.38 tff(17202,plain,
% 54.17/34.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB89, constB90)) | v102(constB90) | v104(constB90))),
% 54.17/34.38 inference(quant_inst,[status(thm)],[])).
% 54.17/34.38 tff(17203,plain,
% 54.17/34.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB89, constB90)) | v102(constB90) | v104(constB90)),
% 54.17/34.38 inference(modus_ponens,[status(thm)],[17202, 17201])).
% 54.17/34.38 tff(17204,plain,
% 54.17/34.38 (v102(constB90) | v104(constB90)),
% 54.17/34.38 inference(unit_resolution,[status(thm)],[17203, 1127, 17188])).
% 54.17/34.38 tff(17205,plain,
% 54.17/34.38 (v102(constB90)),
% 54.17/34.38 inference(unit_resolution,[status(thm)],[17204, 17200])).
% 54.17/34.38 tff(17206,plain,
% 54.17/34.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB89, constB90)) | v101(constB90) | (~v102(constB90)) | (~v1(constB90)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB89, constB90)) | v101(constB90) | (~v102(constB90)) | (~v1(constB90)))),
% 54.17/34.38 inference(rewrite,[status(thm)],[])).
% 54.17/34.38 tff(17207,plain,
% 54.17/34.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB89, constB90)) | v101(constB90) | (~v102(constB90)) | (~v1(constB90)))),
% 54.17/34.38 inference(quant_inst,[status(thm)],[])).
% 54.17/34.38 tff(17208,plain,
% 54.17/34.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB89, constB90)) | v101(constB90) | (~v102(constB90)) | (~v1(constB90))),
% 54.17/34.38 inference(modus_ponens,[status(thm)],[17207, 17206])).
% 54.17/34.38 tff(17209,plain,
% 54.17/34.38 (v101(constB90) | (~v102(constB90))),
% 54.17/34.38 inference(unit_resolution,[status(thm)],[17208, 1145, 17188, 640])).
% 54.17/34.38 tff(17210,plain,
% 54.17/34.38 (v101(constB90)),
% 54.17/34.38 inference(unit_resolution,[status(thm)],[17209, 17205])).
% 54.17/34.38 tff(17211,plain,
% 54.17/34.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90)))),
% 54.17/34.38 inference(rewrite,[status(thm)],[])).
% 54.17/34.38 tff(17212,plain,
% 54.17/34.38 (((~nextState(constB89, constB90)) | (~v101(constB90)) | (~v110(constB90)) | v100(constB90)) <=> ((~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90)))),
% 54.17/34.38 inference(rewrite,[status(thm)],[])).
% 54.17/34.38 tff(17213,plain,
% 54.17/34.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB89, constB90)) | (~v101(constB90)) | (~v110(constB90)) | v100(constB90))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90))))),
% 54.17/34.38 inference(monotonicity,[status(thm)],[17212])).
% 54.17/34.38 tff(17214,plain,
% 54.17/34.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB89, constB90)) | (~v101(constB90)) | (~v110(constB90)) | v100(constB90))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90)))),
% 54.17/34.38 inference(transitivity,[status(thm)],[17213, 17211])).
% 54.17/34.38 tff(17215,plain,
% 54.17/34.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB89, constB90)) | (~v101(constB90)) | (~v110(constB90)) | v100(constB90))),
% 54.17/34.38 inference(quant_inst,[status(thm)],[])).
% 54.17/34.38 tff(17216,plain,
% 54.17/34.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB89, constB90)) | v100(constB90) | (~v101(constB90)) | (~v110(constB90))),
% 54.17/34.38 inference(modus_ponens,[status(thm)],[17215, 17214])).
% 54.17/34.38 tff(17217,plain,
% 54.17/34.38 (v100(constB90) | (~v101(constB90)) | (~v110(constB90))),
% 54.17/34.38 inference(unit_resolution,[status(thm)],[17216, 1160, 17188])).
% 54.17/34.38 tff(17218,plain,
% 54.17/34.38 (v100(constB90) | (~v110(constB90))),
% 54.17/34.38 inference(unit_resolution,[status(thm)],[17217, 17210])).
% 54.17/34.38 tff(17219,plain,
% 54.17/34.38 (v100(constB90)),
% 54.17/34.38 inference(unit_resolution,[status(thm)],[17218, 17196])).
% 54.17/34.38 tff(17220,plain,
% 54.17/34.38 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB89)) | (~v130(constB89, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB89)) | (~v130(constB89, 2)))),
% 54.17/34.38 inference(rewrite,[status(thm)],[])).
% 54.17/34.38 tff(17221,plain,
% 54.17/34.38 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB89)) | (~v130(constB89, 2)))),
% 54.17/34.38 inference(quant_inst,[status(thm)],[])).
% 54.17/34.38 tff(17222,plain,
% 54.17/34.38 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB89)) | (~v130(constB89, 2))),
% 54.17/34.38 inference(modus_ponens,[status(thm)],[17221, 17220])).
% 54.17/34.38 tff(17223,plain,
% 54.17/34.38 (~v130(constB89, 2)),
% 54.17/34.38 inference(unit_resolution,[status(thm)],[17222, 1821, 17137])).
% 54.17/34.38 tff(17224,plain,
% 54.17/34.38 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB89, 2)) | v26(constB89) | v130(constB89, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB89, 2)) | v26(constB89) | v130(constB89, 2))),
% 54.17/34.38 inference(rewrite,[status(thm)],[])).
% 54.17/34.38 tff(17225,plain,
% 54.17/34.38 ((v26(constB89) | v130(constB89, 2) | (~v127(constB89, 2))) <=> ((~v127(constB89, 2)) | v26(constB89) | v130(constB89, 2))),
% 54.17/34.38 inference(rewrite,[status(thm)],[])).
% 54.17/34.38 tff(17226,plain,
% 54.17/34.38 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB89) | v130(constB89, 2) | (~v127(constB89, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB89, 2)) | v26(constB89) | v130(constB89, 2)))),
% 54.17/34.38 inference(monotonicity,[status(thm)],[17225])).
% 54.17/34.38 tff(17227,plain,
% 54.17/34.38 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB89) | v130(constB89, 2) | (~v127(constB89, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB89, 2)) | v26(constB89) | v130(constB89, 2))),
% 54.17/34.38 inference(transitivity,[status(thm)],[17226, 17224])).
% 54.17/34.38 tff(17228,plain,
% 54.17/34.38 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB89) | v130(constB89, 2) | (~v127(constB89, 2)))),
% 54.17/34.38 inference(quant_inst,[status(thm)],[])).
% 54.17/34.38 tff(17229,plain,
% 54.17/34.38 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB89, 2)) | v26(constB89) | v130(constB89, 2)),
% 54.17/34.38 inference(modus_ponens,[status(thm)],[17228, 17227])).
% 54.17/34.38 tff(17230,plain,
% 54.17/34.38 ((~v127(constB89, 2)) | v130(constB89, 2)),
% 54.17/34.38 inference(unit_resolution,[status(thm)],[17229, 1190, 17173])).
% 54.17/34.38 tff(17231,plain,
% 54.17/34.38 (~v127(constB89, 2)),
% 54.17/34.38 inference(unit_resolution,[status(thm)],[17230, 17223])).
% 54.17/34.38 tff(17232,plain,
% 54.17/34.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB89, constB90)) | v127(constB89, 2) | (~v129(constB90, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB89, constB90)) | v127(constB89, 2) | (~v129(constB90, 2)))),
% 54.17/34.38 inference(rewrite,[status(thm)],[])).
% 54.17/34.38 tff(17233,plain,
% 54.17/34.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB89, constB90)) | v127(constB89, 2) | (~v129(constB90, 2)))),
% 54.17/34.38 inference(quant_inst,[status(thm)],[])).
% 54.17/34.38 tff(17234,plain,
% 54.17/34.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB89, constB90)) | v127(constB89, 2) | (~v129(constB90, 2))),
% 54.17/34.38 inference(modus_ponens,[status(thm)],[17233, 17232])).
% 54.17/34.38 tff(17235,plain,
% 54.17/34.38 (v127(constB89, 2) | (~v129(constB90, 2))),
% 54.17/34.38 inference(unit_resolution,[status(thm)],[17234, 1208, 17188])).
% 54.17/34.38 tff(17236,plain,
% 54.17/34.38 (~v129(constB90, 2)),
% 54.17/34.38 inference(unit_resolution,[status(thm)],[17235, 17231])).
% 54.17/34.38 tff(17237,plain,
% 54.17/34.38 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB90, 2)) | v129(constB90, 2) | (~v100(constB90)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB90, 2)) | v129(constB90, 2) | (~v100(constB90)))),
% 54.17/34.38 inference(rewrite,[status(thm)],[])).
% 54.17/34.38 tff(17238,plain,
% 54.17/34.38 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB90, 2)) | v129(constB90, 2) | (~v100(constB90)))),
% 54.17/34.38 inference(quant_inst,[status(thm)],[])).
% 54.17/34.38 tff(17239,plain,
% 54.17/34.38 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB90, 2)) | v129(constB90, 2) | (~v100(constB90))),
% 54.17/34.38 inference(modus_ponens,[status(thm)],[17238, 17237])).
% 54.17/34.38 tff(17240,plain,
% 54.17/34.38 ((~v90(constB90, 2)) | (~v100(constB90))),
% 54.17/34.38 inference(unit_resolution,[status(thm)],[17239, 1223, 17236])).
% 54.17/34.38 tff(17241,plain,
% 54.17/34.38 (~v90(constB90, 2)),
% 54.17/34.38 inference(unit_resolution,[status(thm)],[17240, 17219])).
% 54.17/34.38 tff(17242,plain,
% 54.17/34.38 ((~v1(constB91)) <=> (~v1(constB91))),
% 54.17/34.38 inference(rewrite,[status(thm)],[])).
% 54.17/34.38 tff(17243,axiom,(~v1(constB91)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_91_1_1')).
% 54.17/34.38 tff(17244,plain,
% 54.17/34.38 (~v1(constB91)),
% 54.17/34.38 inference(modus_ponens,[status(thm)],[17243, 17242])).
% 54.17/34.38 tff(17245,plain,
% 54.17/34.38 (nextState(constB90, constB91) <=> nextState(constB90, constB91)),
% 54.17/34.38 inference(rewrite,[status(thm)],[])).
% 54.17/34.38 tff(17246,axiom,(nextState(constB90, constB91)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_90_1')).
% 54.17/34.38 tff(17247,plain,
% 54.17/34.38 (nextState(constB90, constB91)),
% 54.17/34.38 inference(modus_ponens,[status(thm)],[17246, 17245])).
% 54.17/34.38 tff(17248,plain,
% 54.17/34.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91)))),
% 54.17/34.38 inference(rewrite,[status(thm)],[])).
% 54.17/34.38 tff(17249,plain,
% 54.17/34.38 (((~nextState(constB90, constB91)) | (~v101(constB91)) | v1(constB91)) <=> (v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91)))),
% 54.17/34.38 inference(rewrite,[status(thm)],[])).
% 54.17/34.38 tff(17250,plain,
% 54.17/34.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB90, constB91)) | (~v101(constB91)) | v1(constB91))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91))))),
% 54.17/34.38 inference(monotonicity,[status(thm)],[17249])).
% 54.17/34.38 tff(17251,plain,
% 54.17/34.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB90, constB91)) | (~v101(constB91)) | v1(constB91))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91)))),
% 54.17/34.38 inference(transitivity,[status(thm)],[17250, 17248])).
% 54.17/34.38 tff(17252,plain,
% 54.17/34.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB90, constB91)) | (~v101(constB91)) | v1(constB91))),
% 54.17/34.38 inference(quant_inst,[status(thm)],[])).
% 54.17/34.38 tff(17253,plain,
% 54.17/34.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB91) | (~nextState(constB90, constB91)) | (~v101(constB91))),
% 54.17/34.38 inference(modus_ponens,[status(thm)],[17252, 17251])).
% 54.17/34.38 tff(17254,plain,
% 54.17/34.38 (~v101(constB91)),
% 54.17/34.38 inference(unit_resolution,[status(thm)],[17253, 873, 17247, 17244])).
% 54.17/34.38 tff(17255,plain,
% 54.17/34.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB90, constB91)) | v101(constB91) | (~v100(constB91)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB90, constB91)) | v101(constB91) | (~v100(constB91)))),
% 54.17/34.38 inference(rewrite,[status(thm)],[])).
% 54.17/34.38 tff(17256,plain,
% 54.17/34.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB90, constB91)) | v101(constB91) | (~v100(constB91)))),
% 54.17/34.38 inference(quant_inst,[status(thm)],[])).
% 54.17/34.38 tff(17257,plain,
% 54.17/34.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB90, constB91)) | v101(constB91) | (~v100(constB91))),
% 54.17/34.38 inference(modus_ponens,[status(thm)],[17256, 17255])).
% 54.17/34.38 tff(17258,plain,
% 54.17/34.38 (v101(constB91) | (~v100(constB91))),
% 54.17/34.38 inference(unit_resolution,[status(thm)],[17257, 890, 17247])).
% 54.17/34.38 tff(17259,plain,
% 54.17/34.38 (~v100(constB91)),
% 54.17/34.38 inference(unit_resolution,[status(thm)],[17258, 17254])).
% 54.17/34.38 tff(17260,plain,
% 54.17/34.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB90, 2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB90, 2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, 2)))),
% 54.17/34.38 inference(rewrite,[status(thm)],[])).
% 54.17/34.38 tff(17261,plain,
% 54.17/34.38 (((~nextState(constB90, constB91)) | v90(constB90, 2) | v100(constB91) | (~v90(constB91, 2))) <=> (v90(constB90, 2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, 2)))),
% 54.17/34.38 inference(rewrite,[status(thm)],[])).
% 54.17/34.38 tff(17262,plain,
% 54.17/34.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB90, constB91)) | v90(constB90, 2) | v100(constB91) | (~v90(constB91, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB90, 2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, 2))))),
% 54.17/34.38 inference(monotonicity,[status(thm)],[17261])).
% 54.17/34.38 tff(17263,plain,
% 54.17/34.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB90, constB91)) | v90(constB90, 2) | v100(constB91) | (~v90(constB91, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB90, 2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, 2)))),
% 54.17/34.38 inference(transitivity,[status(thm)],[17262, 17260])).
% 54.17/34.38 tff(17264,plain,
% 54.17/34.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB90, constB91)) | v90(constB90, 2) | v100(constB91) | (~v90(constB91, 2)))),
% 54.17/34.38 inference(quant_inst,[status(thm)],[])).
% 54.17/34.38 tff(17265,plain,
% 54.17/34.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB90, 2) | (~nextState(constB90, constB91)) | v100(constB91) | (~v90(constB91, 2))),
% 54.17/34.38 inference(modus_ponens,[status(thm)],[17264, 17263])).
% 54.17/34.38 tff(17266,plain,
% 54.17/34.38 (v90(constB90, 2) | v100(constB91) | (~v90(constB91, 2))),
% 54.17/34.38 inference(unit_resolution,[status(thm)],[17265, 905, 17247])).
% 54.17/34.38 tff(17267,plain,
% 54.17/34.38 (v90(constB90, 2) | (~v90(constB91, 2))),
% 54.17/34.38 inference(unit_resolution,[status(thm)],[17266, 17259])).
% 54.17/34.38 tff(17268,plain,
% 54.17/34.38 (~v90(constB91, 2)),
% 54.17/34.38 inference(unit_resolution,[status(thm)],[17267, 17241])).
% 54.17/34.38 tff(17269,plain,
% 54.17/34.38 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB89)) | v130(constB89, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB89)) | v130(constB89, 0))),
% 54.17/34.38 inference(rewrite,[status(thm)],[])).
% 54.17/34.38 tff(17270,plain,
% 54.17/34.38 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB89)) | v130(constB89, 0))),
% 54.17/34.38 inference(quant_inst,[status(thm)],[])).
% 54.17/34.38 tff(17271,plain,
% 54.17/34.38 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB89)) | v130(constB89, 0)),
% 54.17/34.38 inference(modus_ponens,[status(thm)],[17270, 17269])).
% 54.17/34.38 tff(17272,plain,
% 54.17/34.38 (v130(constB89, 0)),
% 54.17/34.38 inference(unit_resolution,[status(thm)],[17271, 1915, 17137])).
% 54.17/34.38 tff(17273,plain,
% 54.17/34.38 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB89) | (~v130(constB89, 0)) | v127(constB89, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB89) | (~v130(constB89, 0)) | v127(constB89, 0))),
% 54.17/34.38 inference(rewrite,[status(thm)],[])).
% 54.17/34.38 tff(17274,plain,
% 54.17/34.38 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB89) | (~v130(constB89, 0)) | v127(constB89, 0))),
% 54.17/34.38 inference(quant_inst,[status(thm)],[])).
% 54.17/34.38 tff(17275,plain,
% 54.17/34.38 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB89) | (~v130(constB89, 0)) | v127(constB89, 0)),
% 54.17/34.38 inference(modus_ponens,[status(thm)],[17274, 17273])).
% 54.17/34.38 tff(17276,plain,
% 54.17/34.38 ((~v130(constB89, 0)) | v127(constB89, 0)),
% 54.17/34.38 inference(unit_resolution,[status(thm)],[17275, 1347, 17173])).
% 54.17/34.38 tff(17277,plain,
% 54.17/34.38 (v127(constB89, 0)),
% 54.17/34.38 inference(unit_resolution,[status(thm)],[17276, 17272])).
% 54.17/34.38 tff(17278,plain,
% 54.17/34.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB89, constB90)) | (~v127(constB89, 0)) | v129(constB90, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB89, constB90)) | (~v127(constB89, 0)) | v129(constB90, 0))),
% 54.17/34.38 inference(rewrite,[status(thm)],[])).
% 54.17/34.38 tff(17279,plain,
% 54.17/34.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB89, constB90)) | (~v127(constB89, 0)) | v129(constB90, 0))),
% 54.17/34.38 inference(quant_inst,[status(thm)],[])).
% 54.17/34.38 tff(17280,plain,
% 54.17/34.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB89, constB90)) | (~v127(constB89, 0)) | v129(constB90, 0)),
% 54.17/34.38 inference(modus_ponens,[status(thm)],[17279, 17278])).
% 54.17/34.38 tff(17281,plain,
% 54.17/34.38 ((~v127(constB89, 0)) | v129(constB90, 0)),
% 54.17/34.38 inference(unit_resolution,[status(thm)],[17280, 1362, 17188])).
% 54.17/34.38 tff(17282,plain,
% 54.17/34.38 (v129(constB90, 0)),
% 54.17/34.38 inference(unit_resolution,[status(thm)],[17281, 17277])).
% 54.17/34.38 tff(17283,plain,
% 54.17/34.38 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB90, 0) | (~v129(constB90, 0)) | (~v100(constB90)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB90, 0) | (~v129(constB90, 0)) | (~v100(constB90)))),
% 54.17/34.38 inference(rewrite,[status(thm)],[])).
% 54.17/34.38 tff(17284,plain,
% 54.17/34.38 ((v90(constB90, 0) | (~v100(constB90)) | (~v129(constB90, 0))) <=> (v90(constB90, 0) | (~v129(constB90, 0)) | (~v100(constB90)))),
% 54.17/34.38 inference(rewrite,[status(thm)],[])).
% 54.17/34.38 tff(17285,plain,
% 54.17/34.38 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB90, 0) | (~v100(constB90)) | (~v129(constB90, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB90, 0) | (~v129(constB90, 0)) | (~v100(constB90))))),
% 54.17/34.38 inference(monotonicity,[status(thm)],[17284])).
% 54.17/34.38 tff(17286,plain,
% 54.17/34.38 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB90, 0) | (~v100(constB90)) | (~v129(constB90, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB90, 0) | (~v129(constB90, 0)) | (~v100(constB90)))),
% 54.17/34.38 inference(transitivity,[status(thm)],[17285, 17283])).
% 54.17/34.38 tff(17287,plain,
% 54.17/34.38 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB90, 0) | (~v100(constB90)) | (~v129(constB90, 0)))),
% 54.17/34.38 inference(quant_inst,[status(thm)],[])).
% 54.17/34.38 tff(17288,plain,
% 54.17/34.38 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB90, 0) | (~v129(constB90, 0)) | (~v100(constB90))),
% 54.17/34.38 inference(modus_ponens,[status(thm)],[17287, 17286])).
% 54.17/34.38 tff(17289,plain,
% 54.17/34.38 (v90(constB90, 0) | (~v100(constB90))),
% 54.17/34.38 inference(unit_resolution,[status(thm)],[17288, 1377, 17282])).
% 54.17/34.38 tff(17290,plain,
% 54.17/34.38 (v90(constB90, 0)),
% 54.17/34.38 inference(unit_resolution,[status(thm)],[17289, 17219])).
% 54.17/34.38 tff(17291,plain,
% 54.17/34.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB90, 0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB90, 0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, 0))),
% 54.17/34.38 inference(rewrite,[status(thm)],[])).
% 54.17/34.38 tff(17292,plain,
% 54.17/34.38 (((~nextState(constB90, constB91)) | (~v90(constB90, 0)) | v100(constB91) | v90(constB91, 0)) <=> ((~v90(constB90, 0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, 0))),
% 54.17/34.38 inference(rewrite,[status(thm)],[])).
% 54.17/34.38 tff(17293,plain,
% 54.17/34.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB90, constB91)) | (~v90(constB90, 0)) | v100(constB91) | v90(constB91, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB90, 0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, 0)))),
% 54.17/34.38 inference(monotonicity,[status(thm)],[17292])).
% 54.17/34.38 tff(17294,plain,
% 54.17/34.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB90, constB91)) | (~v90(constB90, 0)) | v100(constB91) | v90(constB91, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB90, 0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, 0))),
% 54.17/34.38 inference(transitivity,[status(thm)],[17293, 17291])).
% 54.17/34.38 tff(17295,plain,
% 54.17/34.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB90, constB91)) | (~v90(constB90, 0)) | v100(constB91) | v90(constB91, 0))),
% 54.17/34.38 inference(quant_inst,[status(thm)],[])).
% 54.17/34.38 tff(17296,plain,
% 54.17/34.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB90, 0)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, 0)),
% 54.17/34.38 inference(modus_ponens,[status(thm)],[17295, 17294])).
% 54.17/34.38 tff(17297,plain,
% 54.17/34.38 ((~v90(constB90, 0)) | v100(constB91) | v90(constB91, 0)),
% 54.17/34.38 inference(unit_resolution,[status(thm)],[17296, 1395, 17247])).
% 54.17/34.38 tff(17298,plain,
% 54.17/34.38 ((~v90(constB90, 0)) | v90(constB91, 0)),
% 54.17/34.38 inference(unit_resolution,[status(thm)],[17297, 17259])).
% 54.17/34.38 tff(17299,plain,
% 54.17/34.38 (v90(constB91, 0)),
% 54.17/34.38 inference(unit_resolution,[status(thm)],[17298, 17290])).
% 54.17/34.38 tff(17300,plain,
% 54.17/34.38 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB89)) | v130(constB89, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB89)) | v130(constB89, 1))),
% 54.17/34.38 inference(rewrite,[status(thm)],[])).
% 54.17/34.38 tff(17301,plain,
% 54.17/34.38 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB89)) | v130(constB89, 1))),
% 54.17/34.38 inference(quant_inst,[status(thm)],[])).
% 54.17/34.38 tff(17302,plain,
% 54.17/34.38 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB89)) | v130(constB89, 1)),
% 54.17/34.38 inference(modus_ponens,[status(thm)],[17301, 17300])).
% 54.17/34.38 tff(17303,plain,
% 54.17/34.38 (v130(constB89, 1)),
% 54.17/34.38 inference(unit_resolution,[status(thm)],[17302, 1877, 17137])).
% 54.17/34.38 tff(17304,plain,
% 54.17/34.38 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB89) | (~v130(constB89, 1)) | v127(constB89, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB89) | (~v130(constB89, 1)) | v127(constB89, 1))),
% 54.17/34.38 inference(rewrite,[status(thm)],[])).
% 54.17/34.38 tff(17305,plain,
% 54.17/34.38 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB89) | (~v130(constB89, 1)) | v127(constB89, 1))),
% 54.17/34.38 inference(quant_inst,[status(thm)],[])).
% 54.17/34.38 tff(17306,plain,
% 54.17/34.38 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB89) | (~v130(constB89, 1)) | v127(constB89, 1)),
% 54.17/34.38 inference(modus_ponens,[status(thm)],[17305, 17304])).
% 54.17/34.38 tff(17307,plain,
% 54.17/34.38 ((~v130(constB89, 1)) | v127(constB89, 1)),
% 54.17/34.38 inference(unit_resolution,[status(thm)],[17306, 1593, 17173])).
% 54.17/34.38 tff(17308,plain,
% 54.17/34.38 (v127(constB89, 1)),
% 54.17/34.38 inference(unit_resolution,[status(thm)],[17307, 17303])).
% 54.17/34.38 tff(17309,plain,
% 54.17/34.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB89, constB90)) | (~v127(constB89, 1)) | v129(constB90, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB89, constB90)) | (~v127(constB89, 1)) | v129(constB90, 1))),
% 54.17/34.38 inference(rewrite,[status(thm)],[])).
% 54.17/34.38 tff(17310,plain,
% 54.17/34.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB89, constB90)) | (~v127(constB89, 1)) | v129(constB90, 1))),
% 54.17/34.38 inference(quant_inst,[status(thm)],[])).
% 54.17/34.38 tff(17311,plain,
% 54.17/34.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB89, constB90)) | (~v127(constB89, 1)) | v129(constB90, 1)),
% 54.17/34.38 inference(modus_ponens,[status(thm)],[17310, 17309])).
% 54.17/34.38 tff(17312,plain,
% 54.17/34.38 ((~v127(constB89, 1)) | v129(constB90, 1)),
% 54.17/34.38 inference(unit_resolution,[status(thm)],[17311, 1608, 17188])).
% 54.17/34.38 tff(17313,plain,
% 54.17/34.38 (v129(constB90, 1)),
% 54.17/34.38 inference(unit_resolution,[status(thm)],[17312, 17308])).
% 54.17/34.38 tff(17314,plain,
% 54.17/34.38 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB90, 1) | (~v129(constB90, 1)) | (~v100(constB90)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB90, 1) | (~v129(constB90, 1)) | (~v100(constB90)))),
% 54.17/34.38 inference(rewrite,[status(thm)],[])).
% 54.17/34.38 tff(17315,plain,
% 54.17/34.38 ((v90(constB90, 1) | (~v100(constB90)) | (~v129(constB90, 1))) <=> (v90(constB90, 1) | (~v129(constB90, 1)) | (~v100(constB90)))),
% 54.17/34.38 inference(rewrite,[status(thm)],[])).
% 54.17/34.38 tff(17316,plain,
% 54.17/34.38 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB90, 1) | (~v100(constB90)) | (~v129(constB90, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB90, 1) | (~v129(constB90, 1)) | (~v100(constB90))))),
% 54.17/34.38 inference(monotonicity,[status(thm)],[17315])).
% 54.17/34.38 tff(17317,plain,
% 54.17/34.38 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB90, 1) | (~v100(constB90)) | (~v129(constB90, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB90, 1) | (~v129(constB90, 1)) | (~v100(constB90)))),
% 54.17/34.38 inference(transitivity,[status(thm)],[17316, 17314])).
% 54.17/34.38 tff(17318,plain,
% 54.17/34.38 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB90, 1) | (~v100(constB90)) | (~v129(constB90, 1)))),
% 54.17/34.38 inference(quant_inst,[status(thm)],[])).
% 54.17/34.38 tff(17319,plain,
% 54.17/34.38 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB90, 1) | (~v129(constB90, 1)) | (~v100(constB90))),
% 54.17/34.38 inference(modus_ponens,[status(thm)],[17318, 17317])).
% 54.17/34.38 tff(17320,plain,
% 54.17/34.38 (v90(constB90, 1) | (~v100(constB90))),
% 54.17/34.38 inference(unit_resolution,[status(thm)],[17319, 1623, 17313])).
% 54.17/34.38 tff(17321,plain,
% 54.17/34.38 (v90(constB90, 1)),
% 54.17/34.38 inference(unit_resolution,[status(thm)],[17320, 17219])).
% 54.17/34.38 tff(17322,plain,
% 54.17/34.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB90, 1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB90, 1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, 1))),
% 54.17/34.38 inference(rewrite,[status(thm)],[])).
% 54.17/34.38 tff(17323,plain,
% 54.17/34.38 (((~nextState(constB90, constB91)) | (~v90(constB90, 1)) | v100(constB91) | v90(constB91, 1)) <=> ((~v90(constB90, 1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, 1))),
% 54.17/34.38 inference(rewrite,[status(thm)],[])).
% 54.17/34.38 tff(17324,plain,
% 54.17/34.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB90, constB91)) | (~v90(constB90, 1)) | v100(constB91) | v90(constB91, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB90, 1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, 1)))),
% 54.17/34.38 inference(monotonicity,[status(thm)],[17323])).
% 54.17/34.38 tff(17325,plain,
% 54.17/34.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB90, constB91)) | (~v90(constB90, 1)) | v100(constB91) | v90(constB91, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB90, 1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, 1))),
% 54.17/34.38 inference(transitivity,[status(thm)],[17324, 17322])).
% 54.17/34.38 tff(17326,plain,
% 54.17/34.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB90, constB91)) | (~v90(constB90, 1)) | v100(constB91) | v90(constB91, 1))),
% 54.17/34.38 inference(quant_inst,[status(thm)],[])).
% 54.17/34.38 tff(17327,plain,
% 54.17/34.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB90, 1)) | (~nextState(constB90, constB91)) | v100(constB91) | v90(constB91, 1)),
% 54.17/34.39 inference(modus_ponens,[status(thm)],[17326, 17325])).
% 54.17/34.39 tff(17328,plain,
% 54.17/34.39 ((~v90(constB90, 1)) | v100(constB91) | v90(constB91, 1)),
% 54.17/34.39 inference(unit_resolution,[status(thm)],[17327, 1641, 17247])).
% 54.17/34.39 tff(17329,plain,
% 54.17/34.39 ((~v90(constB90, 1)) | v90(constB91, 1)),
% 54.17/34.39 inference(unit_resolution,[status(thm)],[17328, 17259])).
% 54.17/34.39 tff(17330,plain,
% 54.17/34.39 (v90(constB91, 1)),
% 54.17/34.39 inference(unit_resolution,[status(thm)],[17329, 17321])).
% 54.17/34.39 tff(17331,assumption,(~v122(constB91)), introduced(assumption)).
% 54.17/34.39 tff(17332,plain,
% 54.17/34.39 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB91, 0)) | (~v90(constB91, 1)) | v90(constB91, 2) | v122(constB91))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB91, 0)) | (~v90(constB91, 1)) | v90(constB91, 2) | v122(constB91))),
% 54.17/34.39 inference(rewrite,[status(thm)],[])).
% 54.17/34.39 tff(17333,plain,
% 54.17/34.39 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB91, 0)) | (~v90(constB91, 1)) | v90(constB91, 2) | v122(constB91))),
% 54.17/34.39 inference(quant_inst,[status(thm)],[])).
% 54.17/34.39 tff(17334,plain,
% 54.17/34.39 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB91, 0)) | (~v90(constB91, 1)) | v90(constB91, 2) | v122(constB91)),
% 54.17/34.39 inference(modus_ponens,[status(thm)],[17333, 17332])).
% 54.17/34.39 tff(17335,plain,
% 54.17/34.39 ((~v90(constB91, 0)) | (~v90(constB91, 1)) | v90(constB91, 2)),
% 54.17/34.39 inference(unit_resolution,[status(thm)],[17334, 1956, 17331])).
% 54.17/34.39 tff(17336,plain,
% 54.17/34.39 ($false),
% 54.17/34.39 inference(unit_resolution,[status(thm)],[17335, 17330, 17299, 17268])).
% 54.17/34.39 tff(17337,plain,((~v121(constB89)) | v122(constB91)), inference(lemma,lemma(discharge,[]))).
% 54.17/34.39 tff(17338,plain,
% 54.17/34.39 (v122(constB91)),
% 54.17/34.39 inference(unit_resolution,[status(thm)],[17337, 17136])).
% 54.17/34.39 tff(17339,assumption,(v122(constB91)), introduced(assumption)).
% 54.17/34.39 tff(17340,plain,
% 54.17/34.39 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB91) | (~v122(constB91)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB91) | (~v122(constB91)))),
% 54.17/34.39 inference(rewrite,[status(thm)],[])).
% 54.17/34.39 tff(17341,plain,
% 54.17/34.39 (((~v122(constB91)) | v116(constB91)) <=> (v116(constB91) | (~v122(constB91)))),
% 54.17/34.39 inference(rewrite,[status(thm)],[])).
% 54.17/34.39 tff(17342,plain,
% 54.17/34.39 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB91)) | v116(constB91))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB91) | (~v122(constB91))))),
% 54.17/34.39 inference(monotonicity,[status(thm)],[17341])).
% 54.17/34.39 tff(17343,plain,
% 54.17/34.39 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB91)) | v116(constB91))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB91) | (~v122(constB91)))),
% 54.17/34.39 inference(transitivity,[status(thm)],[17342, 17340])).
% 54.17/34.39 tff(17344,plain,
% 54.17/34.39 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB91)) | v116(constB91))),
% 54.17/34.39 inference(quant_inst,[status(thm)],[])).
% 54.17/34.39 tff(17345,plain,
% 54.17/34.39 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB91) | (~v122(constB91))),
% 54.17/34.39 inference(modus_ponens,[status(thm)],[17344, 17343])).
% 54.17/34.39 tff(17346,plain,
% 54.17/34.39 (v116(constB91)),
% 54.17/34.39 inference(unit_resolution,[status(thm)],[17345, 2120, 17339])).
% 54.17/34.39 tff(17347,plain,
% 54.17/34.39 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB91) | (~v116(constB91)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB91) | (~v116(constB91)))),
% 54.17/34.39 inference(rewrite,[status(thm)],[])).
% 54.17/34.39 tff(17348,plain,
% 54.17/34.39 (((~v116(constB91)) | v115(constB91)) <=> (v115(constB91) | (~v116(constB91)))),
% 54.17/34.39 inference(rewrite,[status(thm)],[])).
% 54.17/34.39 tff(17349,plain,
% 54.17/34.39 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB91)) | v115(constB91))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB91) | (~v116(constB91))))),
% 54.17/34.39 inference(monotonicity,[status(thm)],[17348])).
% 54.17/34.39 tff(17350,plain,
% 54.17/34.39 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB91)) | v115(constB91))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB91) | (~v116(constB91)))),
% 54.17/34.39 inference(transitivity,[status(thm)],[17349, 17347])).
% 54.17/34.39 tff(17351,plain,
% 54.17/34.39 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB91)) | v115(constB91))),
% 54.17/34.39 inference(quant_inst,[status(thm)],[])).
% 54.17/34.39 tff(17352,plain,
% 54.17/34.39 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB91) | (~v116(constB91))),
% 54.17/34.39 inference(modus_ponens,[status(thm)],[17351, 17350])).
% 54.17/34.39 tff(17353,plain,
% 54.17/34.39 (v115(constB91)),
% 54.17/34.39 inference(unit_resolution,[status(thm)],[17352, 1021, 17346])).
% 54.17/34.39 tff(17354,plain,
% 54.17/34.39 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB91) | (~v115(constB91)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB91) | (~v115(constB91)))),
% 54.17/34.39 inference(rewrite,[status(thm)],[])).
% 54.17/34.39 tff(17355,plain,
% 54.17/34.39 (((~v115(constB91)) | v114(constB91)) <=> (v114(constB91) | (~v115(constB91)))),
% 54.17/34.39 inference(rewrite,[status(thm)],[])).
% 54.17/34.39 tff(17356,plain,
% 54.17/34.39 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB91)) | v114(constB91))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB91) | (~v115(constB91))))),
% 54.17/34.39 inference(monotonicity,[status(thm)],[17355])).
% 54.17/34.39 tff(17357,plain,
% 54.17/34.39 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB91)) | v114(constB91))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB91) | (~v115(constB91)))),
% 54.17/34.39 inference(transitivity,[status(thm)],[17356, 17354])).
% 54.17/34.39 tff(17358,plain,
% 54.17/34.39 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB91)) | v114(constB91))),
% 54.17/34.39 inference(quant_inst,[status(thm)],[])).
% 54.17/34.39 tff(17359,plain,
% 54.17/34.39 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB91) | (~v115(constB91))),
% 54.17/34.39 inference(modus_ponens,[status(thm)],[17358, 17357])).
% 54.17/34.39 tff(17360,plain,
% 54.17/34.39 (v114(constB91)),
% 54.17/34.39 inference(unit_resolution,[status(thm)],[17359, 1035, 17353])).
% 54.17/34.39 tff(17361,plain,
% 54.17/34.39 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB91) | (~v114(constB91)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB91) | (~v114(constB91)))),
% 54.17/34.39 inference(rewrite,[status(thm)],[])).
% 54.17/34.39 tff(17362,plain,
% 54.17/34.39 (((~v114(constB91)) | v113(constB91)) <=> (v113(constB91) | (~v114(constB91)))),
% 54.17/34.39 inference(rewrite,[status(thm)],[])).
% 54.17/34.39 tff(17363,plain,
% 54.17/34.39 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB91)) | v113(constB91))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB91) | (~v114(constB91))))),
% 54.17/34.39 inference(monotonicity,[status(thm)],[17362])).
% 54.17/34.39 tff(17364,plain,
% 54.17/34.39 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB91)) | v113(constB91))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB91) | (~v114(constB91)))),
% 54.17/34.39 inference(transitivity,[status(thm)],[17363, 17361])).
% 54.17/34.39 tff(17365,plain,
% 54.17/34.39 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB91)) | v113(constB91))),
% 54.17/34.39 inference(quant_inst,[status(thm)],[])).
% 54.17/34.39 tff(17366,plain,
% 54.17/34.39 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB91) | (~v114(constB91))),
% 54.17/34.39 inference(modus_ponens,[status(thm)],[17365, 17364])).
% 54.17/34.39 tff(17367,plain,
% 54.17/34.39 (v113(constB91)),
% 54.17/34.39 inference(unit_resolution,[status(thm)],[17366, 1049, 17360])).
% 54.17/34.39 tff(17368,assumption,(v26(constB91)), introduced(assumption)).
% 54.17/34.39 tff(17369,plain,
% 54.17/34.39 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB91))),
% 54.17/34.39 inference(quant_inst,[status(thm)],[])).
% 54.17/34.39 tff(17370,plain,
% 54.17/34.39 ($false),
% 54.17/34.39 inference(unit_resolution,[status(thm)],[17369, 828, 17368])).
% 54.17/34.39 tff(17371,plain,(~v26(constB91)), inference(lemma,lemma(discharge,[]))).
% 54.17/34.39 tff(17372,plain,
% 54.17/34.39 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB91) | v112(constB91) | (~v113(constB91)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB91) | v112(constB91) | (~v113(constB91)))),
% 54.17/34.39 inference(rewrite,[status(thm)],[])).
% 54.17/34.39 tff(17373,plain,
% 54.17/34.39 ((v26(constB91) | (~v113(constB91)) | v112(constB91)) <=> (v26(constB91) | v112(constB91) | (~v113(constB91)))),
% 54.17/34.39 inference(rewrite,[status(thm)],[])).
% 54.17/34.39 tff(17374,plain,
% 54.17/34.39 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB91) | (~v113(constB91)) | v112(constB91))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB91) | v112(constB91) | (~v113(constB91))))),
% 54.17/34.39 inference(monotonicity,[status(thm)],[17373])).
% 54.17/34.39 tff(17375,plain,
% 54.17/34.39 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB91) | (~v113(constB91)) | v112(constB91))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB91) | v112(constB91) | (~v113(constB91)))),
% 54.17/34.39 inference(transitivity,[status(thm)],[17374, 17372])).
% 54.17/34.39 tff(17376,plain,
% 54.17/34.39 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB91) | (~v113(constB91)) | v112(constB91))),
% 54.17/34.39 inference(quant_inst,[status(thm)],[])).
% 54.17/34.39 tff(17377,plain,
% 54.17/34.39 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB91) | v112(constB91) | (~v113(constB91))),
% 54.17/34.39 inference(modus_ponens,[status(thm)],[17376, 17375])).
% 54.17/34.39 tff(17378,plain,
% 54.17/34.39 (v112(constB91) | (~v113(constB91))),
% 54.17/34.39 inference(unit_resolution,[status(thm)],[17377, 1063, 17371])).
% 54.17/34.39 tff(17379,plain,
% 54.17/34.39 (v112(constB91)),
% 54.17/34.39 inference(unit_resolution,[status(thm)],[17378, 17367])).
% 54.17/34.39 tff(17380,plain,
% 54.17/34.39 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB91) | (~v112(constB91)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB91) | (~v112(constB91)))),
% 54.17/34.39 inference(rewrite,[status(thm)],[])).
% 54.17/34.39 tff(17381,plain,
% 54.17/34.39 (((~v112(constB91)) | v108(constB91)) <=> (v108(constB91) | (~v112(constB91)))),
% 54.17/34.39 inference(rewrite,[status(thm)],[])).
% 54.17/34.39 tff(17382,plain,
% 54.17/34.39 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB91)) | v108(constB91))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB91) | (~v112(constB91))))),
% 54.17/34.39 inference(monotonicity,[status(thm)],[17381])).
% 54.17/34.39 tff(17383,plain,
% 54.17/34.39 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB91)) | v108(constB91))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB91) | (~v112(constB91)))),
% 54.17/34.39 inference(transitivity,[status(thm)],[17382, 17380])).
% 54.17/34.39 tff(17384,plain,
% 54.17/34.39 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB91)) | v108(constB91))),
% 54.17/34.39 inference(quant_inst,[status(thm)],[])).
% 54.17/34.39 tff(17385,plain,
% 54.17/34.39 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB91) | (~v112(constB91))),
% 54.17/34.39 inference(modus_ponens,[status(thm)],[17384, 17383])).
% 54.17/34.39 tff(17386,plain,
% 54.17/34.39 (v108(constB91)),
% 54.17/34.39 inference(unit_resolution,[status(thm)],[17385, 1075, 17379])).
% 54.17/34.39 tff(17387,plain,
% 54.17/34.39 (nextState(constB91, constB92) <=> nextState(constB91, constB92)),
% 54.17/34.39 inference(rewrite,[status(thm)],[])).
% 54.17/34.39 tff(17388,axiom,(nextState(constB91, constB92)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_91_1')).
% 54.17/34.39 tff(17389,plain,
% 54.17/34.39 (nextState(constB91, constB92)),
% 54.17/34.39 inference(modus_ponens,[status(thm)],[17388, 17387])).
% 54.17/34.39 tff(17390,plain,
% 54.17/34.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91)))),
% 54.17/34.39 inference(rewrite,[status(thm)],[])).
% 54.17/34.39 tff(17391,plain,
% 54.17/34.39 (((~nextState(constB91, constB92)) | (~v108(constB91)) | v110(constB92)) <=> ((~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91)))),
% 54.17/34.39 inference(rewrite,[status(thm)],[])).
% 54.17/34.39 tff(17392,plain,
% 54.17/34.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB91, constB92)) | (~v108(constB91)) | v110(constB92))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91))))),
% 54.17/34.39 inference(monotonicity,[status(thm)],[17391])).
% 54.17/34.39 tff(17393,plain,
% 54.17/34.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB91, constB92)) | (~v108(constB91)) | v110(constB92))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91)))),
% 54.17/34.39 inference(transitivity,[status(thm)],[17392, 17390])).
% 54.17/34.39 tff(17394,plain,
% 54.17/34.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB91, constB92)) | (~v108(constB91)) | v110(constB92))),
% 54.17/34.39 inference(quant_inst,[status(thm)],[])).
% 54.17/34.39 tff(17395,plain,
% 54.17/34.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB91, constB92)) | v110(constB92) | (~v108(constB91))),
% 54.17/34.39 inference(modus_ponens,[status(thm)],[17394, 17393])).
% 54.17/34.39 tff(17396,plain,
% 54.17/34.39 (v110(constB92) | (~v108(constB91))),
% 54.17/34.39 inference(unit_resolution,[status(thm)],[17395, 1095, 17389])).
% 54.17/34.39 tff(17397,plain,
% 54.17/34.39 (v110(constB92)),
% 54.17/34.39 inference(unit_resolution,[status(thm)],[17396, 17386])).
% 54.17/34.39 tff(17398,plain,
% 54.17/34.39 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB91) | (~nextState(constB91, constB92)) | (~v104(constB92)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB91) | (~nextState(constB91, constB92)) | (~v104(constB92)))),
% 54.17/34.39 inference(rewrite,[status(thm)],[])).
% 54.17/34.39 tff(17399,plain,
% 54.17/34.39 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB91) | (~nextState(constB91, constB92)) | (~v104(constB92)))),
% 54.17/34.39 inference(quant_inst,[status(thm)],[])).
% 54.17/34.39 tff(17400,plain,
% 54.17/34.39 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB91) | (~nextState(constB91, constB92)) | (~v104(constB92))),
% 54.17/34.39 inference(modus_ponens,[status(thm)],[17399, 17398])).
% 54.17/34.39 tff(17401,plain,
% 54.17/34.39 (~v104(constB92)),
% 54.17/34.39 inference(unit_resolution,[status(thm)],[17400, 1113, 17389, 17244])).
% 54.17/34.39 tff(17402,plain,
% 54.17/34.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB91, constB92)) | v102(constB92) | v104(constB92))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB91, constB92)) | v102(constB92) | v104(constB92))),
% 54.17/34.39 inference(rewrite,[status(thm)],[])).
% 54.17/34.39 tff(17403,plain,
% 54.17/34.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB91, constB92)) | v102(constB92) | v104(constB92))),
% 54.17/34.39 inference(quant_inst,[status(thm)],[])).
% 54.17/34.39 tff(17404,plain,
% 54.17/34.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB91, constB92)) | v102(constB92) | v104(constB92)),
% 54.17/34.39 inference(modus_ponens,[status(thm)],[17403, 17402])).
% 54.17/34.39 tff(17405,plain,
% 54.17/34.39 (v102(constB92) | v104(constB92)),
% 54.17/34.39 inference(unit_resolution,[status(thm)],[17404, 1127, 17389])).
% 54.17/34.39 tff(17406,plain,
% 54.17/34.39 (v102(constB92)),
% 54.17/34.39 inference(unit_resolution,[status(thm)],[17405, 17401])).
% 54.17/34.39 tff(17407,plain,
% 54.17/34.39 (v1(constB92) <=> v1(constB92)),
% 54.17/34.39 inference(rewrite,[status(thm)],[])).
% 54.17/34.39 tff(17408,axiom,(v1(constB92)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_92_1')).
% 54.17/34.39 tff(17409,plain,
% 54.17/34.39 (v1(constB92)),
% 54.17/34.39 inference(modus_ponens,[status(thm)],[17408, 17407])).
% 54.17/34.39 tff(17410,plain,
% 54.17/34.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB91, constB92)) | v101(constB92) | (~v102(constB92)) | (~v1(constB92)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB91, constB92)) | v101(constB92) | (~v102(constB92)) | (~v1(constB92)))),
% 54.17/34.39 inference(rewrite,[status(thm)],[])).
% 54.17/34.39 tff(17411,plain,
% 54.17/34.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB91, constB92)) | v101(constB92) | (~v102(constB92)) | (~v1(constB92)))),
% 54.17/34.39 inference(quant_inst,[status(thm)],[])).
% 54.17/34.39 tff(17412,plain,
% 54.17/34.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB91, constB92)) | v101(constB92) | (~v102(constB92)) | (~v1(constB92))),
% 54.17/34.39 inference(modus_ponens,[status(thm)],[17411, 17410])).
% 54.17/34.39 tff(17413,plain,
% 54.17/34.39 (v101(constB92) | (~v102(constB92))),
% 54.17/34.39 inference(unit_resolution,[status(thm)],[17412, 1145, 17389, 17409])).
% 54.17/34.39 tff(17414,plain,
% 54.17/34.39 (v101(constB92)),
% 54.17/34.39 inference(unit_resolution,[status(thm)],[17413, 17406])).
% 54.17/34.39 tff(17415,plain,
% 54.17/34.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92)))),
% 54.17/34.39 inference(rewrite,[status(thm)],[])).
% 54.17/34.39 tff(17416,plain,
% 54.17/34.39 (((~nextState(constB91, constB92)) | (~v101(constB92)) | (~v110(constB92)) | v100(constB92)) <=> ((~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92)))),
% 54.17/34.39 inference(rewrite,[status(thm)],[])).
% 54.17/34.39 tff(17417,plain,
% 54.17/34.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB91, constB92)) | (~v101(constB92)) | (~v110(constB92)) | v100(constB92))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92))))),
% 54.17/34.39 inference(monotonicity,[status(thm)],[17416])).
% 54.17/34.39 tff(17418,plain,
% 54.17/34.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB91, constB92)) | (~v101(constB92)) | (~v110(constB92)) | v100(constB92))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92)))),
% 54.17/34.39 inference(transitivity,[status(thm)],[17417, 17415])).
% 54.17/34.39 tff(17419,plain,
% 54.17/34.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB91, constB92)) | (~v101(constB92)) | (~v110(constB92)) | v100(constB92))),
% 54.17/34.39 inference(quant_inst,[status(thm)],[])).
% 54.17/34.39 tff(17420,plain,
% 54.17/34.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB91, constB92)) | v100(constB92) | (~v101(constB92)) | (~v110(constB92))),
% 54.17/34.39 inference(modus_ponens,[status(thm)],[17419, 17418])).
% 54.17/34.39 tff(17421,plain,
% 54.17/34.39 (v100(constB92) | (~v101(constB92)) | (~v110(constB92))),
% 54.17/34.39 inference(unit_resolution,[status(thm)],[17420, 1160, 17389])).
% 54.17/34.39 tff(17422,plain,
% 54.17/34.39 (v100(constB92) | (~v110(constB92))),
% 54.17/34.39 inference(unit_resolution,[status(thm)],[17421, 17414])).
% 54.17/34.39 tff(17423,plain,
% 54.17/34.39 (v100(constB92)),
% 54.17/34.39 inference(unit_resolution,[status(thm)],[17422, 17397])).
% 54.17/34.39 tff(17424,plain,
% 54.17/34.39 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB91)) | v130(constB91, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB91)) | v130(constB91, 2))),
% 54.17/34.39 inference(rewrite,[status(thm)],[])).
% 54.17/34.39 tff(17425,plain,
% 54.17/34.39 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB91)) | v130(constB91, 2))),
% 54.17/34.39 inference(quant_inst,[status(thm)],[])).
% 54.17/34.39 tff(17426,plain,
% 54.17/34.39 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB91)) | v130(constB91, 2)),
% 54.17/34.39 inference(modus_ponens,[status(thm)],[17425, 17424])).
% 54.17/34.39 tff(17427,plain,
% 54.17/34.39 (v130(constB91, 2)),
% 54.17/34.39 inference(unit_resolution,[status(thm)],[17426, 1967, 17339])).
% 54.17/34.39 tff(17428,plain,
% 54.17/34.39 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB91) | (~v130(constB91, 2)) | v127(constB91, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB91) | (~v130(constB91, 2)) | v127(constB91, 2))),
% 54.17/34.39 inference(rewrite,[status(thm)],[])).
% 54.17/34.39 tff(17429,plain,
% 54.17/34.39 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB91) | (~v130(constB91, 2)) | v127(constB91, 2))),
% 54.17/34.39 inference(quant_inst,[status(thm)],[])).
% 54.17/34.39 tff(17430,plain,
% 54.17/34.39 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB91) | (~v130(constB91, 2)) | v127(constB91, 2)),
% 54.17/34.39 inference(modus_ponens,[status(thm)],[17429, 17428])).
% 54.17/34.39 tff(17431,plain,
% 54.17/34.39 ((~v130(constB91, 2)) | v127(constB91, 2)),
% 54.17/34.39 inference(unit_resolution,[status(thm)],[17430, 1981, 17371])).
% 54.17/34.39 tff(17432,plain,
% 54.17/34.39 (v127(constB91, 2)),
% 54.17/34.39 inference(unit_resolution,[status(thm)],[17431, 17427])).
% 54.17/34.39 tff(17433,plain,
% 54.17/34.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB91, constB92)) | (~v127(constB91, 2)) | v129(constB92, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB91, constB92)) | (~v127(constB91, 2)) | v129(constB92, 2))),
% 54.17/34.39 inference(rewrite,[status(thm)],[])).
% 54.17/34.39 tff(17434,plain,
% 54.17/34.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB91, constB92)) | (~v127(constB91, 2)) | v129(constB92, 2))),
% 54.17/34.39 inference(quant_inst,[status(thm)],[])).
% 54.17/34.39 tff(17435,plain,
% 54.17/34.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB91, constB92)) | (~v127(constB91, 2)) | v129(constB92, 2)),
% 54.17/34.39 inference(modus_ponens,[status(thm)],[17434, 17433])).
% 54.17/34.39 tff(17436,plain,
% 54.17/34.39 ((~v127(constB91, 2)) | v129(constB92, 2)),
% 54.17/34.39 inference(unit_resolution,[status(thm)],[17435, 1999, 17389])).
% 54.17/34.39 tff(17437,plain,
% 54.17/34.39 (v129(constB92, 2)),
% 54.17/34.39 inference(unit_resolution,[status(thm)],[17436, 17432])).
% 54.17/34.39 tff(17438,plain,
% 54.17/34.39 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB92, 2) | (~v129(constB92, 2)) | (~v100(constB92)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB92, 2) | (~v129(constB92, 2)) | (~v100(constB92)))),
% 54.17/34.39 inference(rewrite,[status(thm)],[])).
% 54.17/34.39 tff(17439,plain,
% 54.17/34.39 ((v90(constB92, 2) | (~v100(constB92)) | (~v129(constB92, 2))) <=> (v90(constB92, 2) | (~v129(constB92, 2)) | (~v100(constB92)))),
% 54.17/34.39 inference(rewrite,[status(thm)],[])).
% 54.17/34.39 tff(17440,plain,
% 54.17/34.39 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB92, 2) | (~v100(constB92)) | (~v129(constB92, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB92, 2) | (~v129(constB92, 2)) | (~v100(constB92))))),
% 54.17/34.39 inference(monotonicity,[status(thm)],[17439])).
% 54.17/34.39 tff(17441,plain,
% 54.17/34.39 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB92, 2) | (~v100(constB92)) | (~v129(constB92, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB92, 2) | (~v129(constB92, 2)) | (~v100(constB92)))),
% 54.17/34.39 inference(transitivity,[status(thm)],[17440, 17438])).
% 54.17/34.39 tff(17442,plain,
% 54.17/34.39 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB92, 2) | (~v100(constB92)) | (~v129(constB92, 2)))),
% 54.17/34.39 inference(quant_inst,[status(thm)],[])).
% 54.17/34.39 tff(17443,plain,
% 54.17/34.39 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB92, 2) | (~v129(constB92, 2)) | (~v100(constB92))),
% 54.17/34.39 inference(modus_ponens,[status(thm)],[17442, 17441])).
% 54.17/34.39 tff(17444,plain,
% 54.17/34.39 (v90(constB92, 2) | (~v100(constB92))),
% 54.17/34.39 inference(unit_resolution,[status(thm)],[17443, 2324, 17437])).
% 54.17/34.39 tff(17445,plain,
% 54.17/34.39 (v90(constB92, 2)),
% 54.17/34.39 inference(unit_resolution,[status(thm)],[17444, 17423])).
% 54.17/34.39 tff(17446,plain,
% 54.17/34.39 ((~v1(constB93)) <=> (~v1(constB93))),
% 54.17/34.39 inference(rewrite,[status(thm)],[])).
% 54.17/34.39 tff(17447,axiom,(~v1(constB93)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_93_1_1')).
% 54.23/34.39 tff(17448,plain,
% 54.23/34.39 (~v1(constB93)),
% 54.23/34.39 inference(modus_ponens,[status(thm)],[17447, 17446])).
% 54.23/34.39 tff(17449,plain,
% 54.23/34.39 (nextState(constB92, constB93) <=> nextState(constB92, constB93)),
% 54.23/34.39 inference(rewrite,[status(thm)],[])).
% 54.23/34.39 tff(17450,axiom,(nextState(constB92, constB93)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_92_1')).
% 54.23/34.39 tff(17451,plain,
% 54.23/34.39 (nextState(constB92, constB93)),
% 54.23/34.39 inference(modus_ponens,[status(thm)],[17450, 17449])).
% 54.23/34.39 tff(17452,plain,
% 54.23/34.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93)))),
% 54.23/34.39 inference(rewrite,[status(thm)],[])).
% 54.23/34.39 tff(17453,plain,
% 54.23/34.39 (((~nextState(constB92, constB93)) | (~v101(constB93)) | v1(constB93)) <=> (v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93)))),
% 54.23/34.39 inference(rewrite,[status(thm)],[])).
% 54.23/34.39 tff(17454,plain,
% 54.23/34.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB92, constB93)) | (~v101(constB93)) | v1(constB93))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93))))),
% 54.23/34.39 inference(monotonicity,[status(thm)],[17453])).
% 54.23/34.39 tff(17455,plain,
% 54.23/34.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB92, constB93)) | (~v101(constB93)) | v1(constB93))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93)))),
% 54.23/34.39 inference(transitivity,[status(thm)],[17454, 17452])).
% 54.23/34.39 tff(17456,plain,
% 54.23/34.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB92, constB93)) | (~v101(constB93)) | v1(constB93))),
% 54.23/34.39 inference(quant_inst,[status(thm)],[])).
% 54.23/34.39 tff(17457,plain,
% 54.23/34.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB93) | (~nextState(constB92, constB93)) | (~v101(constB93))),
% 54.23/34.39 inference(modus_ponens,[status(thm)],[17456, 17455])).
% 54.23/34.39 tff(17458,plain,
% 54.23/34.39 (~v101(constB93)),
% 54.23/34.39 inference(unit_resolution,[status(thm)],[17457, 873, 17451, 17448])).
% 54.23/34.39 tff(17459,plain,
% 54.23/34.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB92, constB93)) | v101(constB93) | (~v100(constB93)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB92, constB93)) | v101(constB93) | (~v100(constB93)))),
% 54.23/34.39 inference(rewrite,[status(thm)],[])).
% 54.23/34.39 tff(17460,plain,
% 54.23/34.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB92, constB93)) | v101(constB93) | (~v100(constB93)))),
% 54.23/34.39 inference(quant_inst,[status(thm)],[])).
% 54.23/34.39 tff(17461,plain,
% 54.23/34.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB92, constB93)) | v101(constB93) | (~v100(constB93))),
% 54.23/34.39 inference(modus_ponens,[status(thm)],[17460, 17459])).
% 54.23/34.39 tff(17462,plain,
% 54.23/34.39 (v101(constB93) | (~v100(constB93))),
% 54.23/34.39 inference(unit_resolution,[status(thm)],[17461, 890, 17451])).
% 54.23/34.39 tff(17463,plain,
% 54.23/34.39 (~v100(constB93)),
% 54.23/34.39 inference(unit_resolution,[status(thm)],[17462, 17458])).
% 54.23/34.39 tff(17464,plain,
% 54.23/34.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB92, 2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB92, 2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, 2))),
% 54.23/34.39 inference(rewrite,[status(thm)],[])).
% 54.23/34.39 tff(17465,plain,
% 54.23/34.39 (((~nextState(constB92, constB93)) | (~v90(constB92, 2)) | v100(constB93) | v90(constB93, 2)) <=> ((~v90(constB92, 2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, 2))),
% 54.23/34.39 inference(rewrite,[status(thm)],[])).
% 54.23/34.39 tff(17466,plain,
% 54.23/34.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB92, constB93)) | (~v90(constB92, 2)) | v100(constB93) | v90(constB93, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB92, 2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, 2)))),
% 54.23/34.39 inference(monotonicity,[status(thm)],[17465])).
% 54.23/34.39 tff(17467,plain,
% 54.23/34.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB92, constB93)) | (~v90(constB92, 2)) | v100(constB93) | v90(constB93, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB92, 2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, 2))),
% 54.23/34.39 inference(transitivity,[status(thm)],[17466, 17464])).
% 54.23/34.39 tff(17468,plain,
% 54.23/34.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB92, constB93)) | (~v90(constB92, 2)) | v100(constB93) | v90(constB93, 2))),
% 54.23/34.39 inference(quant_inst,[status(thm)],[])).
% 54.23/34.39 tff(17469,plain,
% 54.23/34.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB92, 2)) | (~nextState(constB92, constB93)) | v100(constB93) | v90(constB93, 2)),
% 54.23/34.39 inference(modus_ponens,[status(thm)],[17468, 17467])).
% 54.23/34.39 tff(17470,plain,
% 54.23/34.39 ((~v90(constB92, 2)) | v100(constB93) | v90(constB93, 2)),
% 54.23/34.39 inference(unit_resolution,[status(thm)],[17469, 2174, 17451])).
% 54.23/34.39 tff(17471,plain,
% 54.23/34.39 ((~v90(constB92, 2)) | v90(constB93, 2)),
% 54.23/34.39 inference(unit_resolution,[status(thm)],[17470, 17463])).
% 54.23/34.39 tff(17472,plain,
% 54.23/34.39 (v90(constB93, 2)),
% 54.23/34.39 inference(unit_resolution,[status(thm)],[17471, 17445])).
% 54.23/34.39 tff(17473,plain,
% 54.23/34.39 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB91)) | (~v130(constB91, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB91)) | (~v130(constB91, 0)))),
% 54.23/34.39 inference(rewrite,[status(thm)],[])).
% 54.23/34.39 tff(17474,plain,
% 54.23/34.39 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB91)) | (~v130(constB91, 0)))),
% 54.23/34.39 inference(quant_inst,[status(thm)],[])).
% 54.23/34.39 tff(17475,plain,
% 54.23/34.39 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB91)) | (~v130(constB91, 0))),
% 54.23/34.39 inference(modus_ponens,[status(thm)],[17474, 17473])).
% 54.23/34.39 tff(17476,plain,
% 54.23/34.39 (~v130(constB91, 0)),
% 54.23/34.39 inference(unit_resolution,[status(thm)],[17475, 2407, 17339])).
% 54.23/34.39 tff(17477,plain,
% 54.23/34.39 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB91, 0)) | v26(constB91) | v130(constB91, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB91, 0)) | v26(constB91) | v130(constB91, 0))),
% 54.23/34.39 inference(rewrite,[status(thm)],[])).
% 54.23/34.39 tff(17478,plain,
% 54.23/34.39 ((v26(constB91) | v130(constB91, 0) | (~v127(constB91, 0))) <=> ((~v127(constB91, 0)) | v26(constB91) | v130(constB91, 0))),
% 54.23/34.39 inference(rewrite,[status(thm)],[])).
% 54.23/34.39 tff(17479,plain,
% 54.23/34.39 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB91) | v130(constB91, 0) | (~v127(constB91, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB91, 0)) | v26(constB91) | v130(constB91, 0)))),
% 54.23/34.39 inference(monotonicity,[status(thm)],[17478])).
% 54.23/34.39 tff(17480,plain,
% 54.23/34.39 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB91) | v130(constB91, 0) | (~v127(constB91, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB91, 0)) | v26(constB91) | v130(constB91, 0))),
% 54.23/34.39 inference(transitivity,[status(thm)],[17479, 17477])).
% 54.23/34.39 tff(17481,plain,
% 54.23/34.39 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB91) | v130(constB91, 0) | (~v127(constB91, 0)))),
% 54.23/34.39 inference(quant_inst,[status(thm)],[])).
% 54.23/34.39 tff(17482,plain,
% 54.23/34.39 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB91, 0)) | v26(constB91) | v130(constB91, 0)),
% 54.23/34.39 inference(modus_ponens,[status(thm)],[17481, 17480])).
% 54.23/34.39 tff(17483,plain,
% 54.23/34.39 ((~v127(constB91, 0)) | v130(constB91, 0)),
% 54.23/34.39 inference(unit_resolution,[status(thm)],[17482, 1671, 17371])).
% 54.23/34.39 tff(17484,plain,
% 54.23/34.39 (~v127(constB91, 0)),
% 54.23/34.39 inference(unit_resolution,[status(thm)],[17483, 17476])).
% 54.23/34.39 tff(17485,plain,
% 54.23/34.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB91, constB92)) | v127(constB91, 0) | (~v129(constB92, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB91, constB92)) | v127(constB91, 0) | (~v129(constB92, 0)))),
% 54.23/34.39 inference(rewrite,[status(thm)],[])).
% 54.23/34.39 tff(17486,plain,
% 54.23/34.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB91, constB92)) | v127(constB91, 0) | (~v129(constB92, 0)))),
% 54.23/34.39 inference(quant_inst,[status(thm)],[])).
% 54.23/34.39 tff(17487,plain,
% 54.23/34.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB91, constB92)) | v127(constB91, 0) | (~v129(constB92, 0))),
% 54.23/34.39 inference(modus_ponens,[status(thm)],[17486, 17485])).
% 54.23/34.39 tff(17488,plain,
% 54.23/34.39 (v127(constB91, 0) | (~v129(constB92, 0))),
% 54.23/34.39 inference(unit_resolution,[status(thm)],[17487, 1689, 17389])).
% 54.23/34.39 tff(17489,plain,
% 54.23/34.39 (~v129(constB92, 0)),
% 54.23/34.39 inference(unit_resolution,[status(thm)],[17488, 17484])).
% 54.23/34.39 tff(17490,plain,
% 54.23/34.39 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB92, 0)) | v129(constB92, 0) | (~v100(constB92)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB92, 0)) | v129(constB92, 0) | (~v100(constB92)))),
% 54.23/34.39 inference(rewrite,[status(thm)],[])).
% 54.23/34.39 tff(17491,plain,
% 54.23/34.39 (((~v90(constB92, 0)) | (~v100(constB92)) | v129(constB92, 0)) <=> ((~v90(constB92, 0)) | v129(constB92, 0) | (~v100(constB92)))),
% 54.23/34.39 inference(rewrite,[status(thm)],[])).
% 54.23/34.39 tff(17492,plain,
% 54.23/34.39 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB92, 0)) | (~v100(constB92)) | v129(constB92, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB92, 0)) | v129(constB92, 0) | (~v100(constB92))))),
% 54.23/34.39 inference(monotonicity,[status(thm)],[17491])).
% 54.23/34.39 tff(17493,plain,
% 54.23/34.39 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB92, 0)) | (~v100(constB92)) | v129(constB92, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB92, 0)) | v129(constB92, 0) | (~v100(constB92)))),
% 54.23/34.39 inference(transitivity,[status(thm)],[17492, 17490])).
% 54.23/34.39 tff(17494,plain,
% 54.23/34.39 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB92, 0)) | (~v100(constB92)) | v129(constB92, 0))),
% 54.23/34.39 inference(quant_inst,[status(thm)],[])).
% 54.23/34.39 tff(17495,plain,
% 54.23/34.39 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB92, 0)) | v129(constB92, 0) | (~v100(constB92))),
% 54.23/34.39 inference(modus_ponens,[status(thm)],[17494, 17493])).
% 54.23/34.39 tff(17496,plain,
% 54.23/34.39 ((~v90(constB92, 0)) | (~v100(constB92))),
% 54.23/34.39 inference(unit_resolution,[status(thm)],[17495, 1704, 17489])).
% 54.23/34.39 tff(17497,plain,
% 54.23/34.39 (~v90(constB92, 0)),
% 54.23/34.39 inference(unit_resolution,[status(thm)],[17496, 17423])).
% 54.23/34.39 tff(17498,plain,
% 54.23/34.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB92, 0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB92, 0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 0)))),
% 54.23/34.39 inference(rewrite,[status(thm)],[])).
% 54.23/34.39 tff(17499,plain,
% 54.23/34.39 (((~nextState(constB92, constB93)) | v90(constB92, 0) | v100(constB93) | (~v90(constB93, 0))) <=> (v90(constB92, 0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 0)))),
% 54.23/34.39 inference(rewrite,[status(thm)],[])).
% 54.23/34.39 tff(17500,plain,
% 54.23/34.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB92, constB93)) | v90(constB92, 0) | v100(constB93) | (~v90(constB93, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB92, 0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 0))))),
% 54.23/34.39 inference(monotonicity,[status(thm)],[17499])).
% 54.23/34.39 tff(17501,plain,
% 54.23/34.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB92, constB93)) | v90(constB92, 0) | v100(constB93) | (~v90(constB93, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB92, 0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 0)))),
% 54.23/34.39 inference(transitivity,[status(thm)],[17500, 17498])).
% 54.23/34.39 tff(17502,plain,
% 54.23/34.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB92, constB93)) | v90(constB92, 0) | v100(constB93) | (~v90(constB93, 0)))),
% 54.23/34.39 inference(quant_inst,[status(thm)],[])).
% 54.23/34.39 tff(17503,plain,
% 54.23/34.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB92, 0) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 0))),
% 54.23/34.39 inference(modus_ponens,[status(thm)],[17502, 17501])).
% 54.23/34.39 tff(17504,plain,
% 54.23/34.39 (v90(constB92, 0) | v100(constB93) | (~v90(constB93, 0))),
% 54.23/34.39 inference(unit_resolution,[status(thm)],[17503, 947, 17451])).
% 54.23/34.39 tff(17505,plain,
% 54.23/34.39 (v90(constB92, 0) | (~v90(constB93, 0))),
% 54.23/34.39 inference(unit_resolution,[status(thm)],[17504, 17463])).
% 54.23/34.39 tff(17506,plain,
% 54.23/34.39 (~v90(constB93, 0)),
% 54.23/34.39 inference(unit_resolution,[status(thm)],[17505, 17497])).
% 54.23/34.39 tff(17507,plain,
% 54.23/34.39 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB91)) | (~v130(constB91, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB91)) | (~v130(constB91, 1)))),
% 54.23/34.39 inference(rewrite,[status(thm)],[])).
% 54.23/34.39 tff(17508,plain,
% 54.23/34.39 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB91)) | (~v130(constB91, 1)))),
% 54.23/34.39 inference(quant_inst,[status(thm)],[])).
% 54.23/34.39 tff(17509,plain,
% 54.23/34.39 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB91)) | (~v130(constB91, 1))),
% 54.23/34.39 inference(modus_ponens,[status(thm)],[17508, 17507])).
% 54.23/34.39 tff(17510,plain,
% 54.23/34.39 (~v130(constB91, 1)),
% 54.23/34.39 inference(unit_resolution,[status(thm)],[17509, 2366, 17339])).
% 54.23/34.39 tff(17511,plain,
% 54.23/34.39 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB91, 1)) | v26(constB91) | v130(constB91, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB91, 1)) | v26(constB91) | v130(constB91, 1))),
% 54.23/34.39 inference(rewrite,[status(thm)],[])).
% 54.23/34.39 tff(17512,plain,
% 54.23/34.39 ((v26(constB91) | v130(constB91, 1) | (~v127(constB91, 1))) <=> ((~v127(constB91, 1)) | v26(constB91) | v130(constB91, 1))),
% 54.23/34.39 inference(rewrite,[status(thm)],[])).
% 54.23/34.39 tff(17513,plain,
% 54.23/34.39 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB91) | v130(constB91, 1) | (~v127(constB91, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB91, 1)) | v26(constB91) | v130(constB91, 1)))),
% 54.23/34.39 inference(monotonicity,[status(thm)],[17512])).
% 54.23/34.39 tff(17514,plain,
% 54.23/34.39 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB91) | v130(constB91, 1) | (~v127(constB91, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB91, 1)) | v26(constB91) | v130(constB91, 1))),
% 54.23/34.39 inference(transitivity,[status(thm)],[17513, 17511])).
% 54.23/34.39 tff(17515,plain,
% 54.23/34.39 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB91) | v130(constB91, 1) | (~v127(constB91, 1)))),
% 54.23/34.39 inference(quant_inst,[status(thm)],[])).
% 54.23/34.39 tff(17516,plain,
% 54.23/34.39 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB91, 1)) | v26(constB91) | v130(constB91, 1)),
% 54.23/34.39 inference(modus_ponens,[status(thm)],[17515, 17514])).
% 54.23/34.39 tff(17517,plain,
% 54.23/34.39 ((~v127(constB91, 1)) | v130(constB91, 1)),
% 54.23/34.39 inference(unit_resolution,[status(thm)],[17516, 1276, 17371])).
% 54.23/34.39 tff(17518,plain,
% 54.23/34.39 (~v127(constB91, 1)),
% 54.23/34.40 inference(unit_resolution,[status(thm)],[17517, 17510])).
% 54.23/34.40 tff(17519,plain,
% 54.23/34.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB91, constB92)) | v127(constB91, 1) | (~v129(constB92, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB91, constB92)) | v127(constB91, 1) | (~v129(constB92, 1)))),
% 54.23/34.40 inference(rewrite,[status(thm)],[])).
% 54.23/34.40 tff(17520,plain,
% 54.23/34.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB91, constB92)) | v127(constB91, 1) | (~v129(constB92, 1)))),
% 54.23/34.40 inference(quant_inst,[status(thm)],[])).
% 54.23/34.40 tff(17521,plain,
% 54.23/34.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB91, constB92)) | v127(constB91, 1) | (~v129(constB92, 1))),
% 54.23/34.40 inference(modus_ponens,[status(thm)],[17520, 17519])).
% 54.23/34.40 tff(17522,plain,
% 54.23/34.40 (v127(constB91, 1) | (~v129(constB92, 1))),
% 54.23/34.40 inference(unit_resolution,[status(thm)],[17521, 1294, 17389])).
% 54.23/34.40 tff(17523,plain,
% 54.23/34.40 (~v129(constB92, 1)),
% 54.23/34.40 inference(unit_resolution,[status(thm)],[17522, 17518])).
% 54.23/34.40 tff(17524,plain,
% 54.23/34.40 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB92, 1)) | v129(constB92, 1) | (~v100(constB92)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB92, 1)) | v129(constB92, 1) | (~v100(constB92)))),
% 54.23/34.40 inference(rewrite,[status(thm)],[])).
% 54.23/34.40 tff(17525,plain,
% 54.23/34.40 (((~v90(constB92, 1)) | (~v100(constB92)) | v129(constB92, 1)) <=> ((~v90(constB92, 1)) | v129(constB92, 1) | (~v100(constB92)))),
% 54.23/34.40 inference(rewrite,[status(thm)],[])).
% 54.23/34.40 tff(17526,plain,
% 54.23/34.40 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB92, 1)) | (~v100(constB92)) | v129(constB92, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB92, 1)) | v129(constB92, 1) | (~v100(constB92))))),
% 54.23/34.40 inference(monotonicity,[status(thm)],[17525])).
% 54.23/34.40 tff(17527,plain,
% 54.23/34.40 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB92, 1)) | (~v100(constB92)) | v129(constB92, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB92, 1)) | v129(constB92, 1) | (~v100(constB92)))),
% 54.23/34.40 inference(transitivity,[status(thm)],[17526, 17524])).
% 54.23/34.40 tff(17528,plain,
% 54.23/34.40 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB92, 1)) | (~v100(constB92)) | v129(constB92, 1))),
% 54.23/34.40 inference(quant_inst,[status(thm)],[])).
% 54.23/34.40 tff(17529,plain,
% 54.23/34.40 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB92, 1)) | v129(constB92, 1) | (~v100(constB92))),
% 54.23/34.40 inference(modus_ponens,[status(thm)],[17528, 17527])).
% 54.23/34.40 tff(17530,plain,
% 54.23/34.40 ((~v90(constB92, 1)) | (~v100(constB92))),
% 54.23/34.40 inference(unit_resolution,[status(thm)],[17529, 1309, 17523])).
% 54.23/34.40 tff(17531,plain,
% 54.23/34.40 (~v90(constB92, 1)),
% 54.23/34.40 inference(unit_resolution,[status(thm)],[17530, 17423])).
% 54.23/34.40 tff(17532,plain,
% 54.23/34.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB92, 1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB92, 1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 1)))),
% 54.23/34.40 inference(rewrite,[status(thm)],[])).
% 54.23/34.40 tff(17533,plain,
% 54.23/34.40 (((~nextState(constB92, constB93)) | v90(constB92, 1) | v100(constB93) | (~v90(constB93, 1))) <=> (v90(constB92, 1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 1)))),
% 54.23/34.40 inference(rewrite,[status(thm)],[])).
% 54.23/34.40 tff(17534,plain,
% 54.23/34.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB92, constB93)) | v90(constB92, 1) | v100(constB93) | (~v90(constB93, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB92, 1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 1))))),
% 54.23/34.40 inference(monotonicity,[status(thm)],[17533])).
% 54.23/34.40 tff(17535,plain,
% 54.23/34.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB92, constB93)) | v90(constB92, 1) | v100(constB93) | (~v90(constB93, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB92, 1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 1)))),
% 54.23/34.40 inference(transitivity,[status(thm)],[17534, 17532])).
% 54.23/34.40 tff(17536,plain,
% 54.23/34.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB92, constB93)) | v90(constB92, 1) | v100(constB93) | (~v90(constB93, 1)))),
% 54.23/34.40 inference(quant_inst,[status(thm)],[])).
% 54.23/34.40 tff(17537,plain,
% 54.23/34.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB92, 1) | (~nextState(constB92, constB93)) | v100(constB93) | (~v90(constB93, 1))),
% 54.23/34.40 inference(modus_ponens,[status(thm)],[17536, 17535])).
% 54.23/34.40 tff(17538,plain,
% 54.23/34.40 (v90(constB92, 1) | v100(constB93) | (~v90(constB93, 1))),
% 54.23/34.40 inference(unit_resolution,[status(thm)],[17537, 926, 17451])).
% 54.23/34.40 tff(17539,plain,
% 54.23/34.40 (v90(constB92, 1) | (~v90(constB93, 1))),
% 54.23/34.40 inference(unit_resolution,[status(thm)],[17538, 17463])).
% 54.23/34.40 tff(17540,plain,
% 54.23/34.40 (~v90(constB93, 1)),
% 54.23/34.40 inference(unit_resolution,[status(thm)],[17539, 17531])).
% 54.23/34.40 tff(17541,assumption,(~v123(constB93)), introduced(assumption)).
% 54.23/34.40 tff(17542,plain,
% 54.23/34.40 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB93, 0) | v90(constB93, 1) | (~v90(constB93, 2)) | v123(constB93))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB93, 0) | v90(constB93, 1) | (~v90(constB93, 2)) | v123(constB93))),
% 54.23/34.40 inference(rewrite,[status(thm)],[])).
% 54.23/34.40 tff(17543,plain,
% 54.23/34.40 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB93, 0) | v90(constB93, 1) | (~v90(constB93, 2)) | v123(constB93))),
% 54.23/34.40 inference(quant_inst,[status(thm)],[])).
% 54.23/34.40 tff(17544,plain,
% 54.23/34.40 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB93, 0) | v90(constB93, 1) | (~v90(constB93, 2)) | v123(constB93)),
% 54.23/34.40 inference(modus_ponens,[status(thm)],[17543, 17542])).
% 54.23/34.40 tff(17545,plain,
% 54.23/34.40 (v90(constB93, 0) | v90(constB93, 1) | (~v90(constB93, 2))),
% 54.23/34.40 inference(unit_resolution,[status(thm)],[17544, 2308, 17541])).
% 54.23/34.40 tff(17546,plain,
% 54.23/34.40 ($false),
% 54.23/34.40 inference(unit_resolution,[status(thm)],[17545, 17540, 17506, 17472])).
% 54.23/34.40 tff(17547,plain,((~v122(constB91)) | v123(constB93)), inference(lemma,lemma(discharge,[]))).
% 54.23/34.40 tff(17548,plain,
% 54.23/34.40 (v123(constB93)),
% 54.23/34.40 inference(unit_resolution,[status(thm)],[17547, 17338])).
% 54.23/34.40 tff(17549,assumption,(v123(constB93)), introduced(assumption)).
% 54.23/34.40 tff(17550,plain,
% 54.23/34.40 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB93) | (~v123(constB93)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB93) | (~v123(constB93)))),
% 54.23/34.40 inference(rewrite,[status(thm)],[])).
% 54.23/34.40 tff(17551,plain,
% 54.23/34.40 (((~v123(constB93)) | v115(constB93)) <=> (v115(constB93) | (~v123(constB93)))),
% 54.23/34.40 inference(rewrite,[status(thm)],[])).
% 54.23/34.40 tff(17552,plain,
% 54.23/34.40 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB93)) | v115(constB93))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB93) | (~v123(constB93))))),
% 54.23/34.40 inference(monotonicity,[status(thm)],[17551])).
% 54.23/34.40 tff(17553,plain,
% 54.23/34.40 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB93)) | v115(constB93))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB93) | (~v123(constB93)))),
% 54.23/34.40 inference(transitivity,[status(thm)],[17552, 17550])).
% 54.23/34.40 tff(17554,plain,
% 54.23/34.40 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB93)) | v115(constB93))),
% 54.23/34.40 inference(quant_inst,[status(thm)],[])).
% 54.23/34.40 tff(17555,plain,
% 54.23/34.40 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB93) | (~v123(constB93))),
% 54.23/34.40 inference(modus_ponens,[status(thm)],[17554, 17553])).
% 54.23/34.40 tff(17556,plain,
% 54.23/34.40 (v115(constB93)),
% 54.23/34.40 inference(unit_resolution,[status(thm)],[17555, 2291, 17549])).
% 54.23/34.40 tff(17557,plain,
% 54.23/34.40 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB93) | (~v115(constB93)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB93) | (~v115(constB93)))),
% 54.23/34.40 inference(rewrite,[status(thm)],[])).
% 54.23/34.40 tff(17558,plain,
% 54.23/34.40 (((~v115(constB93)) | v114(constB93)) <=> (v114(constB93) | (~v115(constB93)))),
% 54.23/34.40 inference(rewrite,[status(thm)],[])).
% 54.23/34.40 tff(17559,plain,
% 54.23/34.40 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB93)) | v114(constB93))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB93) | (~v115(constB93))))),
% 54.23/34.40 inference(monotonicity,[status(thm)],[17558])).
% 54.23/34.40 tff(17560,plain,
% 54.23/34.40 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB93)) | v114(constB93))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB93) | (~v115(constB93)))),
% 54.23/34.40 inference(transitivity,[status(thm)],[17559, 17557])).
% 54.23/34.40 tff(17561,plain,
% 54.23/34.40 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB93)) | v114(constB93))),
% 54.23/34.40 inference(quant_inst,[status(thm)],[])).
% 54.23/34.40 tff(17562,plain,
% 54.23/34.40 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB93) | (~v115(constB93))),
% 54.23/34.40 inference(modus_ponens,[status(thm)],[17561, 17560])).
% 54.23/34.40 tff(17563,plain,
% 54.23/34.40 (v114(constB93)),
% 54.23/34.40 inference(unit_resolution,[status(thm)],[17562, 1035, 17556])).
% 54.23/34.40 tff(17564,plain,
% 54.23/34.40 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB93)) | v113(constB93))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB93)) | v113(constB93))),
% 54.23/34.40 inference(rewrite,[status(thm)],[])).
% 54.23/34.40 tff(17565,plain,
% 54.23/34.40 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB93)) | v113(constB93))),
% 54.23/34.40 inference(quant_inst,[status(thm)],[])).
% 54.23/34.40 tff(17566,plain,
% 54.23/34.40 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB93)) | v113(constB93)),
% 54.23/34.40 inference(modus_ponens,[status(thm)],[17565, 17564])).
% 54.23/34.40 tff(17567,plain,
% 54.23/34.40 (v113(constB93)),
% 54.23/34.40 inference(unit_resolution,[status(thm)],[17566, 1049, 17563])).
% 54.23/34.40 tff(17568,assumption,(~v108(constB93)), introduced(assumption)).
% 54.23/34.40 tff(17569,plain,
% 54.23/34.40 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB93) | (~v112(constB93)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB93) | (~v112(constB93)))),
% 54.23/34.40 inference(rewrite,[status(thm)],[])).
% 54.23/34.40 tff(17570,plain,
% 54.23/34.40 (((~v112(constB93)) | v108(constB93)) <=> (v108(constB93) | (~v112(constB93)))),
% 54.23/34.40 inference(rewrite,[status(thm)],[])).
% 54.23/34.40 tff(17571,plain,
% 54.23/34.40 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB93)) | v108(constB93))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB93) | (~v112(constB93))))),
% 54.23/34.40 inference(monotonicity,[status(thm)],[17570])).
% 54.23/34.40 tff(17572,plain,
% 54.23/34.40 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB93)) | v108(constB93))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB93) | (~v112(constB93)))),
% 54.23/34.40 inference(transitivity,[status(thm)],[17571, 17569])).
% 54.23/34.40 tff(17573,plain,
% 54.23/34.40 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB93)) | v108(constB93))),
% 54.23/34.40 inference(quant_inst,[status(thm)],[])).
% 54.23/34.40 tff(17574,plain,
% 54.23/34.40 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB93) | (~v112(constB93))),
% 54.23/34.40 inference(modus_ponens,[status(thm)],[17573, 17572])).
% 54.23/34.40 tff(17575,plain,
% 54.23/34.40 (~v112(constB93)),
% 54.23/34.40 inference(unit_resolution,[status(thm)],[17574, 1075, 17568])).
% 54.23/34.40 tff(17576,plain,
% 54.23/34.40 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB93) | (~v26(constB93)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB93) | (~v26(constB93)))),
% 54.23/34.40 inference(rewrite,[status(thm)],[])).
% 54.23/34.40 tff(17577,plain,
% 54.23/34.40 (((~v26(constB93)) | v108(constB93)) <=> (v108(constB93) | (~v26(constB93)))),
% 54.23/34.40 inference(rewrite,[status(thm)],[])).
% 54.23/34.40 tff(17578,plain,
% 54.23/34.40 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB93)) | v108(constB93))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB93) | (~v26(constB93))))),
% 54.23/34.40 inference(monotonicity,[status(thm)],[17577])).
% 54.23/34.40 tff(17579,plain,
% 54.23/34.40 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB93)) | v108(constB93))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB93) | (~v26(constB93)))),
% 54.23/34.40 inference(transitivity,[status(thm)],[17578, 17576])).
% 54.23/34.40 tff(17580,plain,
% 54.23/34.40 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB93)) | v108(constB93))),
% 54.23/34.40 inference(quant_inst,[status(thm)],[])).
% 54.23/34.40 tff(17581,plain,
% 54.23/34.40 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB93) | (~v26(constB93))),
% 54.23/34.40 inference(modus_ponens,[status(thm)],[17580, 17579])).
% 54.23/34.40 tff(17582,plain,
% 54.23/34.40 (~v26(constB93)),
% 54.23/34.40 inference(unit_resolution,[status(thm)],[17581, 2050, 17568])).
% 54.23/34.40 tff(17583,assumption,(v113(constB93)), introduced(assumption)).
% 54.23/34.40 tff(17584,plain,
% 54.23/34.40 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB93) | (~v113(constB93)) | v112(constB93))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB93) | (~v113(constB93)) | v112(constB93))),
% 54.23/34.40 inference(rewrite,[status(thm)],[])).
% 54.23/34.40 tff(17585,plain,
% 54.23/34.40 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB93) | (~v113(constB93)) | v112(constB93))),
% 54.23/34.40 inference(quant_inst,[status(thm)],[])).
% 54.23/34.40 tff(17586,plain,
% 54.23/34.40 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB93) | (~v113(constB93)) | v112(constB93)),
% 54.23/34.40 inference(modus_ponens,[status(thm)],[17585, 17584])).
% 54.23/34.40 tff(17587,plain,
% 54.23/34.40 (v26(constB93) | v112(constB93)),
% 54.23/34.40 inference(unit_resolution,[status(thm)],[17586, 1063, 17583])).
% 54.23/34.40 tff(17588,plain,
% 54.23/34.40 ($false),
% 54.23/34.40 inference(unit_resolution,[status(thm)],[17587, 17582, 17575])).
% 54.23/34.40 tff(17589,plain,(v108(constB93) | (~v113(constB93))), inference(lemma,lemma(discharge,[]))).
% 54.23/34.40 tff(17590,plain,
% 54.23/34.40 (v108(constB93)),
% 54.23/34.40 inference(unit_resolution,[status(thm)],[17589, 17567])).
% 54.23/34.40 tff(17591,plain,
% 54.23/34.40 (nextState(constB93, constB94) <=> nextState(constB93, constB94)),
% 54.23/34.40 inference(rewrite,[status(thm)],[])).
% 54.23/34.40 tff(17592,axiom,(nextState(constB93, constB94)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_93_1')).
% 54.23/34.40 tff(17593,plain,
% 54.23/34.40 (nextState(constB93, constB94)),
% 54.23/34.40 inference(modus_ponens,[status(thm)],[17592, 17591])).
% 54.23/34.40 tff(17594,plain,
% 54.23/34.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93)))),
% 54.23/34.40 inference(rewrite,[status(thm)],[])).
% 54.23/34.40 tff(17595,plain,
% 54.23/34.40 (((~nextState(constB93, constB94)) | (~v108(constB93)) | v110(constB94)) <=> ((~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93)))),
% 54.23/34.40 inference(rewrite,[status(thm)],[])).
% 54.23/34.40 tff(17596,plain,
% 54.23/34.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB93, constB94)) | (~v108(constB93)) | v110(constB94))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93))))),
% 54.23/34.40 inference(monotonicity,[status(thm)],[17595])).
% 54.23/34.40 tff(17597,plain,
% 54.23/34.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB93, constB94)) | (~v108(constB93)) | v110(constB94))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93)))),
% 54.23/34.40 inference(transitivity,[status(thm)],[17596, 17594])).
% 54.23/34.40 tff(17598,plain,
% 54.23/34.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB93, constB94)) | (~v108(constB93)) | v110(constB94))),
% 54.23/34.40 inference(quant_inst,[status(thm)],[])).
% 54.23/34.40 tff(17599,plain,
% 54.23/34.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB93, constB94)) | v110(constB94) | (~v108(constB93))),
% 54.23/34.40 inference(modus_ponens,[status(thm)],[17598, 17597])).
% 54.23/34.40 tff(17600,plain,
% 54.23/34.40 (v110(constB94) | (~v108(constB93))),
% 54.23/34.40 inference(unit_resolution,[status(thm)],[17599, 1095, 17593])).
% 54.23/34.40 tff(17601,plain,
% 54.23/34.40 (v110(constB94)),
% 54.23/34.40 inference(unit_resolution,[status(thm)],[17600, 17590])).
% 54.23/34.40 tff(17602,plain,
% 54.23/34.40 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB93) | (~nextState(constB93, constB94)) | (~v104(constB94)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB93) | (~nextState(constB93, constB94)) | (~v104(constB94)))),
% 54.23/34.40 inference(rewrite,[status(thm)],[])).
% 54.23/34.40 tff(17603,plain,
% 54.23/34.40 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB93) | (~nextState(constB93, constB94)) | (~v104(constB94)))),
% 54.23/34.40 inference(quant_inst,[status(thm)],[])).
% 54.23/34.40 tff(17604,plain,
% 54.23/34.40 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB93) | (~nextState(constB93, constB94)) | (~v104(constB94))),
% 54.23/34.40 inference(modus_ponens,[status(thm)],[17603, 17602])).
% 54.23/34.40 tff(17605,plain,
% 54.23/34.40 (~v104(constB94)),
% 54.23/34.40 inference(unit_resolution,[status(thm)],[17604, 1113, 17593, 17448])).
% 54.23/34.40 tff(17606,plain,
% 54.23/34.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB93, constB94)) | v102(constB94) | v104(constB94))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB93, constB94)) | v102(constB94) | v104(constB94))),
% 54.23/34.40 inference(rewrite,[status(thm)],[])).
% 54.23/34.40 tff(17607,plain,
% 54.23/34.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB93, constB94)) | v102(constB94) | v104(constB94))),
% 54.23/34.40 inference(quant_inst,[status(thm)],[])).
% 54.23/34.40 tff(17608,plain,
% 54.23/34.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB93, constB94)) | v102(constB94) | v104(constB94)),
% 54.23/34.40 inference(modus_ponens,[status(thm)],[17607, 17606])).
% 54.23/34.40 tff(17609,plain,
% 54.23/34.40 (v102(constB94) | v104(constB94)),
% 54.23/34.40 inference(unit_resolution,[status(thm)],[17608, 1127, 17593])).
% 54.23/34.40 tff(17610,plain,
% 54.23/34.40 (v102(constB94)),
% 54.23/34.40 inference(unit_resolution,[status(thm)],[17609, 17605])).
% 54.23/34.40 tff(17611,plain,
% 54.23/34.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB93, constB94)) | v101(constB94) | (~v102(constB94)) | (~v1(constB94)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB93, constB94)) | v101(constB94) | (~v102(constB94)) | (~v1(constB94)))),
% 54.23/34.40 inference(rewrite,[status(thm)],[])).
% 54.23/34.40 tff(17612,plain,
% 54.23/34.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB93, constB94)) | v101(constB94) | (~v102(constB94)) | (~v1(constB94)))),
% 54.23/34.40 inference(quant_inst,[status(thm)],[])).
% 54.23/34.40 tff(17613,plain,
% 54.23/34.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB93, constB94)) | v101(constB94) | (~v102(constB94)) | (~v1(constB94))),
% 54.23/34.40 inference(modus_ponens,[status(thm)],[17612, 17611])).
% 54.23/34.40 tff(17614,plain,
% 54.23/34.40 (v101(constB94) | (~v102(constB94))),
% 54.23/34.40 inference(unit_resolution,[status(thm)],[17613, 1145, 17593, 585])).
% 54.23/34.40 tff(17615,plain,
% 54.23/34.40 (v101(constB94)),
% 54.23/34.40 inference(unit_resolution,[status(thm)],[17614, 17610])).
% 54.23/34.40 tff(17616,plain,
% 54.23/34.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94)))),
% 54.23/34.40 inference(rewrite,[status(thm)],[])).
% 54.23/34.40 tff(17617,plain,
% 54.23/34.40 (((~nextState(constB93, constB94)) | (~v101(constB94)) | (~v110(constB94)) | v100(constB94)) <=> ((~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94)))),
% 54.23/34.40 inference(rewrite,[status(thm)],[])).
% 54.23/34.40 tff(17618,plain,
% 54.23/34.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB93, constB94)) | (~v101(constB94)) | (~v110(constB94)) | v100(constB94))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94))))),
% 54.23/34.40 inference(monotonicity,[status(thm)],[17617])).
% 54.23/34.40 tff(17619,plain,
% 54.23/34.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB93, constB94)) | (~v101(constB94)) | (~v110(constB94)) | v100(constB94))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94)))),
% 54.23/34.40 inference(transitivity,[status(thm)],[17618, 17616])).
% 54.23/34.40 tff(17620,plain,
% 54.23/34.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB93, constB94)) | (~v101(constB94)) | (~v110(constB94)) | v100(constB94))),
% 54.23/34.40 inference(quant_inst,[status(thm)],[])).
% 54.23/34.40 tff(17621,plain,
% 54.23/34.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB93, constB94)) | v100(constB94) | (~v101(constB94)) | (~v110(constB94))),
% 54.23/34.40 inference(modus_ponens,[status(thm)],[17620, 17619])).
% 54.23/34.40 tff(17622,plain,
% 54.23/34.40 (v100(constB94) | (~v101(constB94)) | (~v110(constB94))),
% 54.23/34.40 inference(unit_resolution,[status(thm)],[17621, 1160, 17593])).
% 54.23/34.40 tff(17623,plain,
% 54.23/34.40 (v100(constB94) | (~v110(constB94))),
% 54.23/34.40 inference(unit_resolution,[status(thm)],[17622, 17615])).
% 54.23/34.40 tff(17624,plain,
% 54.23/34.40 (v100(constB94)),
% 54.23/34.40 inference(unit_resolution,[status(thm)],[17623, 17601])).
% 54.23/34.40 tff(17625,plain,
% 54.23/34.40 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB93)) | v130(constB93, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB93)) | v130(constB93, 2))),
% 54.23/34.40 inference(rewrite,[status(thm)],[])).
% 54.23/34.40 tff(17626,plain,
% 54.23/34.40 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB93)) | v130(constB93, 2))),
% 54.23/34.40 inference(quant_inst,[status(thm)],[])).
% 54.23/34.40 tff(17627,plain,
% 54.23/34.40 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB93)) | v130(constB93, 2)),
% 54.23/34.40 inference(modus_ponens,[status(thm)],[17626, 17625])).
% 54.23/34.40 tff(17628,plain,
% 54.23/34.40 (v130(constB93, 2)),
% 54.23/34.40 inference(unit_resolution,[status(thm)],[17627, 2525, 17549])).
% 54.23/34.40 tff(17629,assumption,(v26(constB93)), introduced(assumption)).
% 54.23/34.40 tff(17630,plain,
% 54.23/34.40 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB93))),
% 54.23/34.40 inference(quant_inst,[status(thm)],[])).
% 54.23/34.40 tff(17631,plain,
% 54.23/34.40 ($false),
% 54.23/34.40 inference(unit_resolution,[status(thm)],[17630, 828, 17629])).
% 54.23/34.40 tff(17632,plain,(~v26(constB93)), inference(lemma,lemma(discharge,[]))).
% 54.23/34.40 tff(17633,plain,
% 54.23/34.40 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB93) | (~v130(constB93, 2)) | v127(constB93, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB93) | (~v130(constB93, 2)) | v127(constB93, 2))),
% 54.23/34.40 inference(rewrite,[status(thm)],[])).
% 54.23/34.40 tff(17634,plain,
% 54.23/34.40 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB93) | (~v130(constB93, 2)) | v127(constB93, 2))),
% 54.23/34.40 inference(quant_inst,[status(thm)],[])).
% 54.23/34.40 tff(17635,plain,
% 54.23/34.40 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB93) | (~v130(constB93, 2)) | v127(constB93, 2)),
% 54.23/34.40 inference(modus_ponens,[status(thm)],[17634, 17633])).
% 54.23/34.40 tff(17636,plain,
% 54.23/34.40 ((~v130(constB93, 2)) | v127(constB93, 2)),
% 54.23/34.40 inference(unit_resolution,[status(thm)],[17635, 1981, 17632])).
% 54.23/34.40 tff(17637,plain,
% 54.23/34.40 (v127(constB93, 2)),
% 54.23/34.40 inference(unit_resolution,[status(thm)],[17636, 17628])).
% 54.23/34.40 tff(17638,plain,
% 54.23/34.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB93, constB94)) | (~v127(constB93, 2)) | v129(constB94, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB93, constB94)) | (~v127(constB93, 2)) | v129(constB94, 2))),
% 54.23/34.40 inference(rewrite,[status(thm)],[])).
% 54.23/34.40 tff(17639,plain,
% 54.23/34.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB93, constB94)) | (~v127(constB93, 2)) | v129(constB94, 2))),
% 54.23/34.40 inference(quant_inst,[status(thm)],[])).
% 54.23/34.40 tff(17640,plain,
% 54.23/34.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB93, constB94)) | (~v127(constB93, 2)) | v129(constB94, 2)),
% 54.23/34.40 inference(modus_ponens,[status(thm)],[17639, 17638])).
% 54.23/34.40 tff(17641,plain,
% 54.23/34.40 ((~v127(constB93, 2)) | v129(constB94, 2)),
% 54.23/34.40 inference(unit_resolution,[status(thm)],[17640, 1999, 17593])).
% 54.23/34.40 tff(17642,plain,
% 54.23/34.40 (v129(constB94, 2)),
% 54.23/34.40 inference(unit_resolution,[status(thm)],[17641, 17637])).
% 54.23/34.40 tff(17643,plain,
% 54.23/34.40 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB94, 2) | (~v129(constB94, 2)) | (~v100(constB94)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB94, 2) | (~v129(constB94, 2)) | (~v100(constB94)))),
% 54.23/34.40 inference(rewrite,[status(thm)],[])).
% 54.23/34.40 tff(17644,plain,
% 54.23/34.40 ((v90(constB94, 2) | (~v100(constB94)) | (~v129(constB94, 2))) <=> (v90(constB94, 2) | (~v129(constB94, 2)) | (~v100(constB94)))),
% 54.23/34.40 inference(rewrite,[status(thm)],[])).
% 54.23/34.40 tff(17645,plain,
% 54.23/34.40 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB94, 2) | (~v100(constB94)) | (~v129(constB94, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB94, 2) | (~v129(constB94, 2)) | (~v100(constB94))))),
% 54.23/34.40 inference(monotonicity,[status(thm)],[17644])).
% 54.23/34.40 tff(17646,plain,
% 54.23/34.40 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB94, 2) | (~v100(constB94)) | (~v129(constB94, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB94, 2) | (~v129(constB94, 2)) | (~v100(constB94)))),
% 54.23/34.40 inference(transitivity,[status(thm)],[17645, 17643])).
% 54.23/34.40 tff(17647,plain,
% 54.23/34.40 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB94, 2) | (~v100(constB94)) | (~v129(constB94, 2)))),
% 54.23/34.40 inference(quant_inst,[status(thm)],[])).
% 54.23/34.40 tff(17648,plain,
% 54.23/34.40 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB94, 2) | (~v129(constB94, 2)) | (~v100(constB94))),
% 54.23/34.40 inference(modus_ponens,[status(thm)],[17647, 17646])).
% 54.23/34.40 tff(17649,plain,
% 54.23/34.40 (v90(constB94, 2) | (~v100(constB94))),
% 54.23/34.40 inference(unit_resolution,[status(thm)],[17648, 2324, 17642])).
% 54.23/34.40 tff(17650,plain,
% 54.23/34.40 (v90(constB94, 2)),
% 54.23/34.40 inference(unit_resolution,[status(thm)],[17649, 17624])).
% 54.23/34.40 tff(17651,plain,
% 54.23/34.40 ((~v1(constB95)) <=> (~v1(constB95))),
% 54.23/34.40 inference(rewrite,[status(thm)],[])).
% 54.23/34.40 tff(17652,axiom,(~v1(constB95)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_95_1_1')).
% 54.23/34.40 tff(17653,plain,
% 54.23/34.40 (~v1(constB95)),
% 54.23/34.40 inference(modus_ponens,[status(thm)],[17652, 17651])).
% 54.23/34.40 tff(17654,plain,
% 54.23/34.40 (nextState(constB94, constB95) <=> nextState(constB94, constB95)),
% 54.23/34.40 inference(rewrite,[status(thm)],[])).
% 54.23/34.40 tff(17655,axiom,(nextState(constB94, constB95)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_94_1')).
% 54.23/34.40 tff(17656,plain,
% 54.23/34.40 (nextState(constB94, constB95)),
% 54.23/34.40 inference(modus_ponens,[status(thm)],[17655, 17654])).
% 54.23/34.40 tff(17657,plain,
% 54.23/34.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95)))),
% 54.23/34.40 inference(rewrite,[status(thm)],[])).
% 54.23/34.40 tff(17658,plain,
% 54.23/34.40 (((~nextState(constB94, constB95)) | (~v101(constB95)) | v1(constB95)) <=> (v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95)))),
% 54.23/34.40 inference(rewrite,[status(thm)],[])).
% 54.23/34.40 tff(17659,plain,
% 54.23/34.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB94, constB95)) | (~v101(constB95)) | v1(constB95))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95))))),
% 54.23/34.40 inference(monotonicity,[status(thm)],[17658])).
% 54.23/34.40 tff(17660,plain,
% 54.23/34.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB94, constB95)) | (~v101(constB95)) | v1(constB95))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95)))),
% 54.23/34.40 inference(transitivity,[status(thm)],[17659, 17657])).
% 54.23/34.40 tff(17661,plain,
% 54.23/34.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB94, constB95)) | (~v101(constB95)) | v1(constB95))),
% 54.23/34.40 inference(quant_inst,[status(thm)],[])).
% 54.23/34.40 tff(17662,plain,
% 54.23/34.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB95) | (~nextState(constB94, constB95)) | (~v101(constB95))),
% 54.23/34.40 inference(modus_ponens,[status(thm)],[17661, 17660])).
% 54.23/34.40 tff(17663,plain,
% 54.23/34.40 (~v101(constB95)),
% 54.23/34.40 inference(unit_resolution,[status(thm)],[17662, 873, 17656, 17653])).
% 54.23/34.40 tff(17664,plain,
% 54.23/34.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB94, constB95)) | v101(constB95) | (~v100(constB95)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB94, constB95)) | v101(constB95) | (~v100(constB95)))),
% 54.23/34.40 inference(rewrite,[status(thm)],[])).
% 54.23/34.40 tff(17665,plain,
% 54.23/34.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB94, constB95)) | v101(constB95) | (~v100(constB95)))),
% 54.23/34.40 inference(quant_inst,[status(thm)],[])).
% 54.23/34.40 tff(17666,plain,
% 54.23/34.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB94, constB95)) | v101(constB95) | (~v100(constB95))),
% 54.23/34.40 inference(modus_ponens,[status(thm)],[17665, 17664])).
% 54.23/34.40 tff(17667,plain,
% 54.23/34.40 (v101(constB95) | (~v100(constB95))),
% 54.23/34.40 inference(unit_resolution,[status(thm)],[17666, 890, 17656])).
% 54.23/34.40 tff(17668,plain,
% 54.23/34.40 (~v100(constB95)),
% 54.23/34.40 inference(unit_resolution,[status(thm)],[17667, 17663])).
% 54.23/34.40 tff(17669,plain,
% 54.23/34.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB94, 2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB94, 2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, 2))),
% 54.23/34.40 inference(rewrite,[status(thm)],[])).
% 54.23/34.40 tff(17670,plain,
% 54.23/34.40 (((~nextState(constB94, constB95)) | (~v90(constB94, 2)) | v100(constB95) | v90(constB95, 2)) <=> ((~v90(constB94, 2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, 2))),
% 54.23/34.40 inference(rewrite,[status(thm)],[])).
% 54.23/34.40 tff(17671,plain,
% 54.23/34.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB94, constB95)) | (~v90(constB94, 2)) | v100(constB95) | v90(constB95, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB94, 2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, 2)))),
% 54.23/34.40 inference(monotonicity,[status(thm)],[17670])).
% 54.23/34.40 tff(17672,plain,
% 54.23/34.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB94, constB95)) | (~v90(constB94, 2)) | v100(constB95) | v90(constB95, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB94, 2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, 2))),
% 54.23/34.40 inference(transitivity,[status(thm)],[17671, 17669])).
% 54.23/34.40 tff(17673,plain,
% 54.23/34.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB94, constB95)) | (~v90(constB94, 2)) | v100(constB95) | v90(constB95, 2))),
% 54.23/34.40 inference(quant_inst,[status(thm)],[])).
% 54.23/34.40 tff(17674,plain,
% 54.23/34.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB94, 2)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, 2)),
% 54.23/34.40 inference(modus_ponens,[status(thm)],[17673, 17672])).
% 54.23/34.40 tff(17675,plain,
% 54.23/34.40 ((~v90(constB94, 2)) | v100(constB95) | v90(constB95, 2)),
% 54.23/34.40 inference(unit_resolution,[status(thm)],[17674, 2174, 17656])).
% 54.23/34.40 tff(17676,plain,
% 54.23/34.40 ((~v90(constB94, 2)) | v90(constB95, 2)),
% 54.23/34.40 inference(unit_resolution,[status(thm)],[17675, 17668])).
% 54.23/34.40 tff(17677,plain,
% 54.23/34.40 (v90(constB95, 2)),
% 54.23/34.40 inference(unit_resolution,[status(thm)],[17676, 17650])).
% 54.23/34.40 tff(17678,plain,
% 54.23/34.40 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB93)) | v130(constB93, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB93)) | v130(constB93, 0))),
% 54.23/34.40 inference(rewrite,[status(thm)],[])).
% 54.23/34.40 tff(17679,plain,
% 54.23/34.40 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB93)) | v130(constB93, 0))),
% 54.23/34.40 inference(quant_inst,[status(thm)],[])).
% 54.23/34.40 tff(17680,plain,
% 54.23/34.40 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB93)) | v130(constB93, 0)),
% 54.23/34.40 inference(modus_ponens,[status(thm)],[17679, 17678])).
% 54.23/34.40 tff(17681,plain,
% 54.23/34.40 (v130(constB93, 0)),
% 54.23/34.40 inference(unit_resolution,[status(thm)],[17680, 2622, 17549])).
% 54.23/34.40 tff(17682,plain,
% 54.23/34.40 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB93) | (~v130(constB93, 0)) | v127(constB93, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB93) | (~v130(constB93, 0)) | v127(constB93, 0))),
% 54.23/34.40 inference(rewrite,[status(thm)],[])).
% 54.23/34.40 tff(17683,plain,
% 54.23/34.40 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB93) | (~v130(constB93, 0)) | v127(constB93, 0))),
% 54.23/34.40 inference(quant_inst,[status(thm)],[])).
% 54.23/34.40 tff(17684,plain,
% 54.23/34.40 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB93) | (~v130(constB93, 0)) | v127(constB93, 0)),
% 54.23/34.40 inference(modus_ponens,[status(thm)],[17683, 17682])).
% 54.23/34.40 tff(17685,plain,
% 54.23/34.40 ((~v130(constB93, 0)) | v127(constB93, 0)),
% 54.23/34.40 inference(unit_resolution,[status(thm)],[17684, 1347, 17632])).
% 54.23/34.40 tff(17686,plain,
% 54.23/34.40 (v127(constB93, 0)),
% 54.23/34.40 inference(unit_resolution,[status(thm)],[17685, 17681])).
% 54.23/34.40 tff(17687,plain,
% 54.23/34.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB93, constB94)) | (~v127(constB93, 0)) | v129(constB94, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB93, constB94)) | (~v127(constB93, 0)) | v129(constB94, 0))),
% 54.23/34.40 inference(rewrite,[status(thm)],[])).
% 54.23/34.40 tff(17688,plain,
% 54.23/34.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB93, constB94)) | (~v127(constB93, 0)) | v129(constB94, 0))),
% 54.23/34.40 inference(quant_inst,[status(thm)],[])).
% 54.23/34.40 tff(17689,plain,
% 54.23/34.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB93, constB94)) | (~v127(constB93, 0)) | v129(constB94, 0)),
% 54.23/34.40 inference(modus_ponens,[status(thm)],[17688, 17687])).
% 54.23/34.40 tff(17690,plain,
% 54.23/34.40 ((~v127(constB93, 0)) | v129(constB94, 0)),
% 54.23/34.40 inference(unit_resolution,[status(thm)],[17689, 1362, 17593])).
% 54.23/34.40 tff(17691,plain,
% 54.23/34.40 (v129(constB94, 0)),
% 54.23/34.40 inference(unit_resolution,[status(thm)],[17690, 17686])).
% 54.23/34.40 tff(17692,plain,
% 54.23/34.40 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB94, 0) | (~v129(constB94, 0)) | (~v100(constB94)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB94, 0) | (~v129(constB94, 0)) | (~v100(constB94)))),
% 54.23/34.40 inference(rewrite,[status(thm)],[])).
% 54.23/34.40 tff(17693,plain,
% 54.23/34.40 ((v90(constB94, 0) | (~v100(constB94)) | (~v129(constB94, 0))) <=> (v90(constB94, 0) | (~v129(constB94, 0)) | (~v100(constB94)))),
% 54.23/34.40 inference(rewrite,[status(thm)],[])).
% 54.23/34.40 tff(17694,plain,
% 54.23/34.40 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB94, 0) | (~v100(constB94)) | (~v129(constB94, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB94, 0) | (~v129(constB94, 0)) | (~v100(constB94))))),
% 54.23/34.40 inference(monotonicity,[status(thm)],[17693])).
% 54.23/34.40 tff(17695,plain,
% 54.23/34.40 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB94, 0) | (~v100(constB94)) | (~v129(constB94, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB94, 0) | (~v129(constB94, 0)) | (~v100(constB94)))),
% 54.23/34.40 inference(transitivity,[status(thm)],[17694, 17692])).
% 54.23/34.40 tff(17696,plain,
% 54.23/34.40 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB94, 0) | (~v100(constB94)) | (~v129(constB94, 0)))),
% 54.23/34.40 inference(quant_inst,[status(thm)],[])).
% 54.23/34.40 tff(17697,plain,
% 54.23/34.40 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB94, 0) | (~v129(constB94, 0)) | (~v100(constB94))),
% 54.23/34.40 inference(modus_ponens,[status(thm)],[17696, 17695])).
% 54.23/34.40 tff(17698,plain,
% 54.23/34.40 (v90(constB94, 0) | (~v100(constB94))),
% 54.23/34.40 inference(unit_resolution,[status(thm)],[17697, 1377, 17691])).
% 54.23/34.40 tff(17699,plain,
% 54.23/34.40 (v90(constB94, 0)),
% 54.23/34.40 inference(unit_resolution,[status(thm)],[17698, 17624])).
% 54.23/34.40 tff(17700,plain,
% 54.23/34.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB94, 0)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB94, 0)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, 0))),
% 54.23/34.40 inference(rewrite,[status(thm)],[])).
% 54.23/34.40 tff(17701,plain,
% 54.23/34.40 (((~nextState(constB94, constB95)) | (~v90(constB94, 0)) | v100(constB95) | v90(constB95, 0)) <=> ((~v90(constB94, 0)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, 0))),
% 54.23/34.40 inference(rewrite,[status(thm)],[])).
% 54.23/34.40 tff(17702,plain,
% 54.23/34.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB94, constB95)) | (~v90(constB94, 0)) | v100(constB95) | v90(constB95, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB94, 0)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, 0)))),
% 54.23/34.40 inference(monotonicity,[status(thm)],[17701])).
% 54.23/34.40 tff(17703,plain,
% 54.23/34.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB94, constB95)) | (~v90(constB94, 0)) | v100(constB95) | v90(constB95, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB94, 0)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, 0))),
% 54.23/34.40 inference(transitivity,[status(thm)],[17702, 17700])).
% 54.23/34.40 tff(17704,plain,
% 54.23/34.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB94, constB95)) | (~v90(constB94, 0)) | v100(constB95) | v90(constB95, 0))),
% 54.23/34.40 inference(quant_inst,[status(thm)],[])).
% 54.23/34.40 tff(17705,plain,
% 54.23/34.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB94, 0)) | (~nextState(constB94, constB95)) | v100(constB95) | v90(constB95, 0)),
% 54.23/34.40 inference(modus_ponens,[status(thm)],[17704, 17703])).
% 54.23/34.40 tff(17706,plain,
% 54.23/34.40 ((~v90(constB94, 0)) | v100(constB95) | v90(constB95, 0)),
% 54.23/34.40 inference(unit_resolution,[status(thm)],[17705, 1395, 17656])).
% 54.23/34.41 tff(17707,plain,
% 54.23/34.41 ((~v90(constB94, 0)) | v90(constB95, 0)),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17706, 17668])).
% 54.23/34.41 tff(17708,plain,
% 54.23/34.41 (v90(constB95, 0)),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17707, 17699])).
% 54.23/34.41 tff(17709,plain,
% 54.23/34.41 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB93)) | (~v130(constB93, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB93)) | (~v130(constB93, 1)))),
% 54.23/34.41 inference(rewrite,[status(thm)],[])).
% 54.23/34.41 tff(17710,plain,
% 54.23/34.41 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB93)) | (~v130(constB93, 1)))),
% 54.23/34.41 inference(quant_inst,[status(thm)],[])).
% 54.23/34.41 tff(17711,plain,
% 54.23/34.41 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB93)) | (~v130(constB93, 1))),
% 54.23/34.41 inference(modus_ponens,[status(thm)],[17710, 17709])).
% 54.23/34.41 tff(17712,plain,
% 54.23/34.41 (~v130(constB93, 1)),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17711, 2581, 17549])).
% 54.23/34.41 tff(17713,plain,
% 54.23/34.41 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB93, 1)) | v26(constB93) | v130(constB93, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB93, 1)) | v26(constB93) | v130(constB93, 1))),
% 54.23/34.41 inference(rewrite,[status(thm)],[])).
% 54.23/34.41 tff(17714,plain,
% 54.23/34.41 ((v26(constB93) | v130(constB93, 1) | (~v127(constB93, 1))) <=> ((~v127(constB93, 1)) | v26(constB93) | v130(constB93, 1))),
% 54.23/34.41 inference(rewrite,[status(thm)],[])).
% 54.23/34.41 tff(17715,plain,
% 54.23/34.41 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB93) | v130(constB93, 1) | (~v127(constB93, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB93, 1)) | v26(constB93) | v130(constB93, 1)))),
% 54.23/34.41 inference(monotonicity,[status(thm)],[17714])).
% 54.23/34.41 tff(17716,plain,
% 54.23/34.41 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB93) | v130(constB93, 1) | (~v127(constB93, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB93, 1)) | v26(constB93) | v130(constB93, 1))),
% 54.23/34.41 inference(transitivity,[status(thm)],[17715, 17713])).
% 54.23/34.41 tff(17717,plain,
% 54.23/34.41 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB93) | v130(constB93, 1) | (~v127(constB93, 1)))),
% 54.23/34.41 inference(quant_inst,[status(thm)],[])).
% 54.23/34.41 tff(17718,plain,
% 54.23/34.41 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB93, 1)) | v26(constB93) | v130(constB93, 1)),
% 54.23/34.41 inference(modus_ponens,[status(thm)],[17717, 17716])).
% 54.23/34.41 tff(17719,plain,
% 54.23/34.41 ((~v127(constB93, 1)) | v130(constB93, 1)),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17718, 1276, 17632])).
% 54.23/34.41 tff(17720,plain,
% 54.23/34.41 (~v127(constB93, 1)),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17719, 17712])).
% 54.23/34.41 tff(17721,plain,
% 54.23/34.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB93, constB94)) | v127(constB93, 1) | (~v129(constB94, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB93, constB94)) | v127(constB93, 1) | (~v129(constB94, 1)))),
% 54.23/34.41 inference(rewrite,[status(thm)],[])).
% 54.23/34.41 tff(17722,plain,
% 54.23/34.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB93, constB94)) | v127(constB93, 1) | (~v129(constB94, 1)))),
% 54.23/34.41 inference(quant_inst,[status(thm)],[])).
% 54.23/34.41 tff(17723,plain,
% 54.23/34.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB93, constB94)) | v127(constB93, 1) | (~v129(constB94, 1))),
% 54.23/34.41 inference(modus_ponens,[status(thm)],[17722, 17721])).
% 54.23/34.41 tff(17724,plain,
% 54.23/34.41 (v127(constB93, 1) | (~v129(constB94, 1))),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17723, 1294, 17593])).
% 54.23/34.41 tff(17725,plain,
% 54.23/34.41 (~v129(constB94, 1)),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17724, 17720])).
% 54.23/34.41 tff(17726,plain,
% 54.23/34.41 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB94, 1)) | v129(constB94, 1) | (~v100(constB94)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB94, 1)) | v129(constB94, 1) | (~v100(constB94)))),
% 54.23/34.41 inference(rewrite,[status(thm)],[])).
% 54.23/34.41 tff(17727,plain,
% 54.23/34.41 (((~v90(constB94, 1)) | (~v100(constB94)) | v129(constB94, 1)) <=> ((~v90(constB94, 1)) | v129(constB94, 1) | (~v100(constB94)))),
% 54.23/34.41 inference(rewrite,[status(thm)],[])).
% 54.23/34.41 tff(17728,plain,
% 54.23/34.41 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB94, 1)) | (~v100(constB94)) | v129(constB94, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB94, 1)) | v129(constB94, 1) | (~v100(constB94))))),
% 54.23/34.41 inference(monotonicity,[status(thm)],[17727])).
% 54.23/34.41 tff(17729,plain,
% 54.23/34.41 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB94, 1)) | (~v100(constB94)) | v129(constB94, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB94, 1)) | v129(constB94, 1) | (~v100(constB94)))),
% 54.23/34.41 inference(transitivity,[status(thm)],[17728, 17726])).
% 54.23/34.41 tff(17730,plain,
% 54.23/34.41 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB94, 1)) | (~v100(constB94)) | v129(constB94, 1))),
% 54.23/34.41 inference(quant_inst,[status(thm)],[])).
% 54.23/34.41 tff(17731,plain,
% 54.23/34.41 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB94, 1)) | v129(constB94, 1) | (~v100(constB94))),
% 54.23/34.41 inference(modus_ponens,[status(thm)],[17730, 17729])).
% 54.23/34.41 tff(17732,plain,
% 54.23/34.41 ((~v90(constB94, 1)) | (~v100(constB94))),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17731, 1309, 17725])).
% 54.23/34.41 tff(17733,plain,
% 54.23/34.41 (~v90(constB94, 1)),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17732, 17624])).
% 54.23/34.41 tff(17734,plain,
% 54.23/34.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB94, 1) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB94, 1) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, 1)))),
% 54.23/34.41 inference(rewrite,[status(thm)],[])).
% 54.23/34.41 tff(17735,plain,
% 54.23/34.41 (((~nextState(constB94, constB95)) | v90(constB94, 1) | v100(constB95) | (~v90(constB95, 1))) <=> (v90(constB94, 1) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, 1)))),
% 54.23/34.41 inference(rewrite,[status(thm)],[])).
% 54.23/34.41 tff(17736,plain,
% 54.23/34.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB94, constB95)) | v90(constB94, 1) | v100(constB95) | (~v90(constB95, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB94, 1) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, 1))))),
% 54.23/34.41 inference(monotonicity,[status(thm)],[17735])).
% 54.23/34.41 tff(17737,plain,
% 54.23/34.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB94, constB95)) | v90(constB94, 1) | v100(constB95) | (~v90(constB95, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB94, 1) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, 1)))),
% 54.23/34.41 inference(transitivity,[status(thm)],[17736, 17734])).
% 54.23/34.41 tff(17738,plain,
% 54.23/34.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB94, constB95)) | v90(constB94, 1) | v100(constB95) | (~v90(constB95, 1)))),
% 54.23/34.41 inference(quant_inst,[status(thm)],[])).
% 54.23/34.41 tff(17739,plain,
% 54.23/34.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB94, 1) | (~nextState(constB94, constB95)) | v100(constB95) | (~v90(constB95, 1))),
% 54.23/34.41 inference(modus_ponens,[status(thm)],[17738, 17737])).
% 54.23/34.41 tff(17740,plain,
% 54.23/34.41 (v90(constB94, 1) | v100(constB95) | (~v90(constB95, 1))),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17739, 926, 17656])).
% 54.23/34.41 tff(17741,plain,
% 54.23/34.41 (v90(constB94, 1) | (~v90(constB95, 1))),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17740, 17668])).
% 54.23/34.41 tff(17742,plain,
% 54.23/34.41 (~v90(constB95, 1)),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17741, 17733])).
% 54.23/34.41 tff(17743,assumption,(~v124(constB95)), introduced(assumption)).
% 54.23/34.41 tff(17744,plain,
% 54.23/34.41 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB95, 0)) | v90(constB95, 1) | (~v90(constB95, 2)) | v124(constB95))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB95, 0)) | v90(constB95, 1) | (~v90(constB95, 2)) | v124(constB95))),
% 54.23/34.41 inference(rewrite,[status(thm)],[])).
% 54.23/34.41 tff(17745,plain,
% 54.23/34.41 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB95, 0)) | v90(constB95, 1) | (~v90(constB95, 2)) | v124(constB95))),
% 54.23/34.41 inference(quant_inst,[status(thm)],[])).
% 54.23/34.41 tff(17746,plain,
% 54.23/34.41 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB95, 0)) | v90(constB95, 1) | (~v90(constB95, 2)) | v124(constB95)),
% 54.23/34.41 inference(modus_ponens,[status(thm)],[17745, 17744])).
% 54.23/34.41 tff(17747,plain,
% 54.23/34.41 ((~v90(constB95, 0)) | v90(constB95, 1) | (~v90(constB95, 2))),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17746, 2663, 17743])).
% 54.23/34.41 tff(17748,plain,
% 54.23/34.41 ($false),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17747, 17742, 17708, 17677])).
% 54.23/34.41 tff(17749,plain,((~v123(constB93)) | v124(constB95)), inference(lemma,lemma(discharge,[]))).
% 54.23/34.41 tff(17750,plain,
% 54.23/34.41 (v124(constB95)),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17749, 17548])).
% 54.23/34.41 tff(17751,plain,
% 54.23/34.41 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB95)) | v114(constB95))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB95)) | v114(constB95))),
% 54.23/34.41 inference(rewrite,[status(thm)],[])).
% 54.23/34.41 tff(17752,plain,
% 54.23/34.41 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB95)) | v114(constB95))),
% 54.23/34.41 inference(quant_inst,[status(thm)],[])).
% 54.23/34.41 tff(17753,plain,
% 54.23/34.41 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB95)) | v114(constB95)),
% 54.23/34.41 inference(modus_ponens,[status(thm)],[17752, 17751])).
% 54.23/34.41 tff(17754,plain,
% 54.23/34.41 (v114(constB95)),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17753, 2674, 17750])).
% 54.23/34.41 tff(17755,plain,
% 54.23/34.41 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB95)) | v113(constB95))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB95)) | v113(constB95))),
% 54.23/34.41 inference(rewrite,[status(thm)],[])).
% 54.23/34.41 tff(17756,plain,
% 54.23/34.41 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB95)) | v113(constB95))),
% 54.23/34.41 inference(quant_inst,[status(thm)],[])).
% 54.23/34.41 tff(17757,plain,
% 54.23/34.41 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB95)) | v113(constB95)),
% 54.23/34.41 inference(modus_ponens,[status(thm)],[17756, 17755])).
% 54.23/34.41 tff(17758,plain,
% 54.23/34.41 (v113(constB95)),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17757, 1049, 17754])).
% 54.23/34.41 tff(17759,assumption,(v26(constB95)), introduced(assumption)).
% 54.23/34.41 tff(17760,plain,
% 54.23/34.41 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB95))),
% 54.23/34.41 inference(quant_inst,[status(thm)],[])).
% 54.23/34.41 tff(17761,plain,
% 54.23/34.41 ($false),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17760, 828, 17759])).
% 54.23/34.41 tff(17762,plain,(~v26(constB95)), inference(lemma,lemma(discharge,[]))).
% 54.23/34.41 tff(17763,plain,
% 54.23/34.41 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB95) | (~v113(constB95)) | v112(constB95))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB95) | (~v113(constB95)) | v112(constB95))),
% 54.23/34.41 inference(rewrite,[status(thm)],[])).
% 54.23/34.41 tff(17764,plain,
% 54.23/34.41 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB95) | (~v113(constB95)) | v112(constB95))),
% 54.23/34.41 inference(quant_inst,[status(thm)],[])).
% 54.23/34.41 tff(17765,plain,
% 54.23/34.41 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB95) | (~v113(constB95)) | v112(constB95)),
% 54.23/34.41 inference(modus_ponens,[status(thm)],[17764, 17763])).
% 54.23/34.41 tff(17766,plain,
% 54.23/34.41 ((~v113(constB95)) | v112(constB95)),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17765, 1063, 17762])).
% 54.23/34.41 tff(17767,plain,
% 54.23/34.41 (v112(constB95)),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17766, 17758])).
% 54.23/34.41 tff(17768,plain,
% 54.23/34.41 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB95) | (~v112(constB95)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB95) | (~v112(constB95)))),
% 54.23/34.41 inference(rewrite,[status(thm)],[])).
% 54.23/34.41 tff(17769,plain,
% 54.23/34.41 (((~v112(constB95)) | v108(constB95)) <=> (v108(constB95) | (~v112(constB95)))),
% 54.23/34.41 inference(rewrite,[status(thm)],[])).
% 54.23/34.41 tff(17770,plain,
% 54.23/34.41 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB95)) | v108(constB95))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB95) | (~v112(constB95))))),
% 54.23/34.41 inference(monotonicity,[status(thm)],[17769])).
% 54.23/34.41 tff(17771,plain,
% 54.23/34.41 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB95)) | v108(constB95))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB95) | (~v112(constB95)))),
% 54.23/34.41 inference(transitivity,[status(thm)],[17770, 17768])).
% 54.23/34.41 tff(17772,plain,
% 54.23/34.41 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB95)) | v108(constB95))),
% 54.23/34.41 inference(quant_inst,[status(thm)],[])).
% 54.23/34.41 tff(17773,plain,
% 54.23/34.41 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB95) | (~v112(constB95))),
% 54.23/34.41 inference(modus_ponens,[status(thm)],[17772, 17771])).
% 54.23/34.41 tff(17774,plain,
% 54.23/34.41 (v108(constB95)),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17773, 1075, 17767])).
% 54.23/34.41 tff(17775,plain,
% 54.23/34.41 (nextState(constB95, constB96) <=> nextState(constB95, constB96)),
% 54.23/34.41 inference(rewrite,[status(thm)],[])).
% 54.23/34.41 tff(17776,axiom,(nextState(constB95, constB96)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_95_1')).
% 54.23/34.41 tff(17777,plain,
% 54.23/34.41 (nextState(constB95, constB96)),
% 54.23/34.41 inference(modus_ponens,[status(thm)],[17776, 17775])).
% 54.23/34.41 tff(17778,plain,
% 54.23/34.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95)))),
% 54.23/34.41 inference(rewrite,[status(thm)],[])).
% 54.23/34.41 tff(17779,plain,
% 54.23/34.41 (((~nextState(constB95, constB96)) | (~v108(constB95)) | v110(constB96)) <=> ((~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95)))),
% 54.23/34.41 inference(rewrite,[status(thm)],[])).
% 54.23/34.41 tff(17780,plain,
% 54.23/34.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB95, constB96)) | (~v108(constB95)) | v110(constB96))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95))))),
% 54.23/34.41 inference(monotonicity,[status(thm)],[17779])).
% 54.23/34.41 tff(17781,plain,
% 54.23/34.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB95, constB96)) | (~v108(constB95)) | v110(constB96))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95)))),
% 54.23/34.41 inference(transitivity,[status(thm)],[17780, 17778])).
% 54.23/34.41 tff(17782,plain,
% 54.23/34.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB95, constB96)) | (~v108(constB95)) | v110(constB96))),
% 54.23/34.41 inference(quant_inst,[status(thm)],[])).
% 54.23/34.41 tff(17783,plain,
% 54.23/34.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB95, constB96)) | v110(constB96) | (~v108(constB95))),
% 54.23/34.41 inference(modus_ponens,[status(thm)],[17782, 17781])).
% 54.23/34.41 tff(17784,plain,
% 54.23/34.41 (v110(constB96) | (~v108(constB95))),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17783, 1095, 17777])).
% 54.23/34.41 tff(17785,plain,
% 54.23/34.41 (v110(constB96)),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17784, 17774])).
% 54.23/34.41 tff(17786,plain,
% 54.23/34.41 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB95) | (~nextState(constB95, constB96)) | (~v104(constB96)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB95) | (~nextState(constB95, constB96)) | (~v104(constB96)))),
% 54.23/34.41 inference(rewrite,[status(thm)],[])).
% 54.23/34.41 tff(17787,plain,
% 54.23/34.41 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB95) | (~nextState(constB95, constB96)) | (~v104(constB96)))),
% 54.23/34.41 inference(quant_inst,[status(thm)],[])).
% 54.23/34.41 tff(17788,plain,
% 54.23/34.41 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB95) | (~nextState(constB95, constB96)) | (~v104(constB96))),
% 54.23/34.41 inference(modus_ponens,[status(thm)],[17787, 17786])).
% 54.23/34.41 tff(17789,plain,
% 54.23/34.41 (~v104(constB96)),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17788, 1113, 17777, 17653])).
% 54.23/34.41 tff(17790,plain,
% 54.23/34.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB95, constB96)) | v102(constB96) | v104(constB96))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB95, constB96)) | v102(constB96) | v104(constB96))),
% 54.23/34.41 inference(rewrite,[status(thm)],[])).
% 54.23/34.41 tff(17791,plain,
% 54.23/34.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB95, constB96)) | v102(constB96) | v104(constB96))),
% 54.23/34.41 inference(quant_inst,[status(thm)],[])).
% 54.23/34.41 tff(17792,plain,
% 54.23/34.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB95, constB96)) | v102(constB96) | v104(constB96)),
% 54.23/34.41 inference(modus_ponens,[status(thm)],[17791, 17790])).
% 54.23/34.41 tff(17793,plain,
% 54.23/34.41 (v102(constB96) | v104(constB96)),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17792, 1127, 17777])).
% 54.23/34.41 tff(17794,plain,
% 54.23/34.41 (v102(constB96)),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17793, 17789])).
% 54.23/34.41 tff(17795,plain,
% 54.23/34.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB95, constB96)) | v101(constB96) | (~v102(constB96)) | (~v1(constB96)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB95, constB96)) | v101(constB96) | (~v102(constB96)) | (~v1(constB96)))),
% 54.23/34.41 inference(rewrite,[status(thm)],[])).
% 54.23/34.41 tff(17796,plain,
% 54.23/34.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB95, constB96)) | v101(constB96) | (~v102(constB96)) | (~v1(constB96)))),
% 54.23/34.41 inference(quant_inst,[status(thm)],[])).
% 54.23/34.41 tff(17797,plain,
% 54.23/34.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB95, constB96)) | v101(constB96) | (~v102(constB96)) | (~v1(constB96))),
% 54.23/34.41 inference(modus_ponens,[status(thm)],[17796, 17795])).
% 54.23/34.41 tff(17798,plain,
% 54.23/34.41 (v101(constB96) | (~v102(constB96))),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17797, 1145, 17777, 618])).
% 54.23/34.41 tff(17799,plain,
% 54.23/34.41 (v101(constB96)),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17798, 17794])).
% 54.23/34.41 tff(17800,plain,
% 54.23/34.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96)))),
% 54.23/34.41 inference(rewrite,[status(thm)],[])).
% 54.23/34.41 tff(17801,plain,
% 54.23/34.41 (((~nextState(constB95, constB96)) | (~v101(constB96)) | (~v110(constB96)) | v100(constB96)) <=> ((~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96)))),
% 54.23/34.41 inference(rewrite,[status(thm)],[])).
% 54.23/34.41 tff(17802,plain,
% 54.23/34.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB95, constB96)) | (~v101(constB96)) | (~v110(constB96)) | v100(constB96))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96))))),
% 54.23/34.41 inference(monotonicity,[status(thm)],[17801])).
% 54.23/34.41 tff(17803,plain,
% 54.23/34.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB95, constB96)) | (~v101(constB96)) | (~v110(constB96)) | v100(constB96))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96)))),
% 54.23/34.41 inference(transitivity,[status(thm)],[17802, 17800])).
% 54.23/34.41 tff(17804,plain,
% 54.23/34.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB95, constB96)) | (~v101(constB96)) | (~v110(constB96)) | v100(constB96))),
% 54.23/34.41 inference(quant_inst,[status(thm)],[])).
% 54.23/34.41 tff(17805,plain,
% 54.23/34.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB95, constB96)) | v100(constB96) | (~v101(constB96)) | (~v110(constB96))),
% 54.23/34.41 inference(modus_ponens,[status(thm)],[17804, 17803])).
% 54.23/34.41 tff(17806,plain,
% 54.23/34.41 (v100(constB96) | (~v101(constB96)) | (~v110(constB96))),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17805, 1160, 17777])).
% 54.23/34.41 tff(17807,plain,
% 54.23/34.41 (v100(constB96) | (~v110(constB96))),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17806, 17799])).
% 54.23/34.41 tff(17808,plain,
% 54.23/34.41 (v100(constB96)),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17807, 17785])).
% 54.23/34.41 tff(17809,plain,
% 54.23/34.41 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB95)) | v130(constB95, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB95)) | v130(constB95, 2))),
% 54.23/34.41 inference(rewrite,[status(thm)],[])).
% 54.23/34.41 tff(17810,plain,
% 54.23/34.41 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB95)) | v130(constB95, 2))),
% 54.23/34.41 inference(quant_inst,[status(thm)],[])).
% 54.23/34.41 tff(17811,plain,
% 54.23/34.41 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB95)) | v130(constB95, 2)),
% 54.23/34.41 inference(modus_ponens,[status(thm)],[17810, 17809])).
% 54.23/34.41 tff(17812,plain,
% 54.23/34.41 (v130(constB95, 2)),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17811, 2741, 17750])).
% 54.23/34.41 tff(17813,plain,
% 54.23/34.41 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB95) | (~v130(constB95, 2)) | v127(constB95, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB95) | (~v130(constB95, 2)) | v127(constB95, 2))),
% 54.23/34.41 inference(rewrite,[status(thm)],[])).
% 54.23/34.41 tff(17814,plain,
% 54.23/34.41 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB95) | (~v130(constB95, 2)) | v127(constB95, 2))),
% 54.23/34.41 inference(quant_inst,[status(thm)],[])).
% 54.23/34.41 tff(17815,plain,
% 54.23/34.41 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB95) | (~v130(constB95, 2)) | v127(constB95, 2)),
% 54.23/34.41 inference(modus_ponens,[status(thm)],[17814, 17813])).
% 54.23/34.41 tff(17816,plain,
% 54.23/34.41 ((~v130(constB95, 2)) | v127(constB95, 2)),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17815, 1981, 17762])).
% 54.23/34.41 tff(17817,plain,
% 54.23/34.41 (v127(constB95, 2)),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17816, 17812])).
% 54.23/34.41 tff(17818,plain,
% 54.23/34.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB95, constB96)) | (~v127(constB95, 2)) | v129(constB96, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB95, constB96)) | (~v127(constB95, 2)) | v129(constB96, 2))),
% 54.23/34.41 inference(rewrite,[status(thm)],[])).
% 54.23/34.41 tff(17819,plain,
% 54.23/34.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB95, constB96)) | (~v127(constB95, 2)) | v129(constB96, 2))),
% 54.23/34.41 inference(quant_inst,[status(thm)],[])).
% 54.23/34.41 tff(17820,plain,
% 54.23/34.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB95, constB96)) | (~v127(constB95, 2)) | v129(constB96, 2)),
% 54.23/34.41 inference(modus_ponens,[status(thm)],[17819, 17818])).
% 54.23/34.41 tff(17821,plain,
% 54.23/34.41 ((~v127(constB95, 2)) | v129(constB96, 2)),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17820, 1999, 17777])).
% 54.23/34.41 tff(17822,plain,
% 54.23/34.41 (v129(constB96, 2)),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17821, 17817])).
% 54.23/34.41 tff(17823,plain,
% 54.23/34.41 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB96, 2) | (~v129(constB96, 2)) | (~v100(constB96)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB96, 2) | (~v129(constB96, 2)) | (~v100(constB96)))),
% 54.23/34.41 inference(rewrite,[status(thm)],[])).
% 54.23/34.41 tff(17824,plain,
% 54.23/34.41 ((v90(constB96, 2) | (~v100(constB96)) | (~v129(constB96, 2))) <=> (v90(constB96, 2) | (~v129(constB96, 2)) | (~v100(constB96)))),
% 54.23/34.41 inference(rewrite,[status(thm)],[])).
% 54.23/34.41 tff(17825,plain,
% 54.23/34.41 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB96, 2) | (~v100(constB96)) | (~v129(constB96, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB96, 2) | (~v129(constB96, 2)) | (~v100(constB96))))),
% 54.23/34.41 inference(monotonicity,[status(thm)],[17824])).
% 54.23/34.41 tff(17826,plain,
% 54.23/34.41 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB96, 2) | (~v100(constB96)) | (~v129(constB96, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB96, 2) | (~v129(constB96, 2)) | (~v100(constB96)))),
% 54.23/34.41 inference(transitivity,[status(thm)],[17825, 17823])).
% 54.23/34.41 tff(17827,plain,
% 54.23/34.41 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB96, 2) | (~v100(constB96)) | (~v129(constB96, 2)))),
% 54.23/34.41 inference(quant_inst,[status(thm)],[])).
% 54.23/34.41 tff(17828,plain,
% 54.23/34.41 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB96, 2) | (~v129(constB96, 2)) | (~v100(constB96))),
% 54.23/34.41 inference(modus_ponens,[status(thm)],[17827, 17826])).
% 54.23/34.41 tff(17829,plain,
% 54.23/34.41 (v90(constB96, 2) | (~v100(constB96))),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17828, 2324, 17822])).
% 54.23/34.41 tff(17830,plain,
% 54.23/34.41 (v90(constB96, 2)),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17829, 17808])).
% 54.23/34.41 tff(17831,plain,
% 54.23/34.41 ((~v1(constB97)) <=> (~v1(constB97))),
% 54.23/34.41 inference(rewrite,[status(thm)],[])).
% 54.23/34.41 tff(17832,axiom,(~v1(constB97)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_97_1_1')).
% 54.23/34.41 tff(17833,plain,
% 54.23/34.41 (~v1(constB97)),
% 54.23/34.41 inference(modus_ponens,[status(thm)],[17832, 17831])).
% 54.23/34.41 tff(17834,plain,
% 54.23/34.41 (nextState(constB96, constB97) <=> nextState(constB96, constB97)),
% 54.23/34.41 inference(rewrite,[status(thm)],[])).
% 54.23/34.41 tff(17835,axiom,(nextState(constB96, constB97)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_96_1')).
% 54.23/34.41 tff(17836,plain,
% 54.23/34.41 (nextState(constB96, constB97)),
% 54.23/34.41 inference(modus_ponens,[status(thm)],[17835, 17834])).
% 54.23/34.41 tff(17837,plain,
% 54.23/34.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97)))),
% 54.23/34.41 inference(rewrite,[status(thm)],[])).
% 54.23/34.41 tff(17838,plain,
% 54.23/34.41 (((~nextState(constB96, constB97)) | (~v101(constB97)) | v1(constB97)) <=> (v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97)))),
% 54.23/34.41 inference(rewrite,[status(thm)],[])).
% 54.23/34.41 tff(17839,plain,
% 54.23/34.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB96, constB97)) | (~v101(constB97)) | v1(constB97))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97))))),
% 54.23/34.41 inference(monotonicity,[status(thm)],[17838])).
% 54.23/34.41 tff(17840,plain,
% 54.23/34.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB96, constB97)) | (~v101(constB97)) | v1(constB97))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97)))),
% 54.23/34.41 inference(transitivity,[status(thm)],[17839, 17837])).
% 54.23/34.41 tff(17841,plain,
% 54.23/34.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB96, constB97)) | (~v101(constB97)) | v1(constB97))),
% 54.23/34.41 inference(quant_inst,[status(thm)],[])).
% 54.23/34.41 tff(17842,plain,
% 54.23/34.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB97) | (~nextState(constB96, constB97)) | (~v101(constB97))),
% 54.23/34.41 inference(modus_ponens,[status(thm)],[17841, 17840])).
% 54.23/34.41 tff(17843,plain,
% 54.23/34.41 (~v101(constB97)),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17842, 873, 17836, 17833])).
% 54.23/34.41 tff(17844,plain,
% 54.23/34.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB96, constB97)) | v101(constB97) | (~v100(constB97)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB96, constB97)) | v101(constB97) | (~v100(constB97)))),
% 54.23/34.41 inference(rewrite,[status(thm)],[])).
% 54.23/34.41 tff(17845,plain,
% 54.23/34.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB96, constB97)) | v101(constB97) | (~v100(constB97)))),
% 54.23/34.41 inference(quant_inst,[status(thm)],[])).
% 54.23/34.41 tff(17846,plain,
% 54.23/34.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB96, constB97)) | v101(constB97) | (~v100(constB97))),
% 54.23/34.41 inference(modus_ponens,[status(thm)],[17845, 17844])).
% 54.23/34.41 tff(17847,plain,
% 54.23/34.41 (v101(constB97) | (~v100(constB97))),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17846, 890, 17836])).
% 54.23/34.41 tff(17848,plain,
% 54.23/34.41 (~v100(constB97)),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17847, 17843])).
% 54.23/34.41 tff(17849,plain,
% 54.23/34.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB96, 2)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB96, 2)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, 2))),
% 54.23/34.41 inference(rewrite,[status(thm)],[])).
% 54.23/34.41 tff(17850,plain,
% 54.23/34.41 (((~nextState(constB96, constB97)) | (~v90(constB96, 2)) | v100(constB97) | v90(constB97, 2)) <=> ((~v90(constB96, 2)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, 2))),
% 54.23/34.41 inference(rewrite,[status(thm)],[])).
% 54.23/34.41 tff(17851,plain,
% 54.23/34.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB96, constB97)) | (~v90(constB96, 2)) | v100(constB97) | v90(constB97, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB96, 2)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, 2)))),
% 54.23/34.41 inference(monotonicity,[status(thm)],[17850])).
% 54.23/34.41 tff(17852,plain,
% 54.23/34.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB96, constB97)) | (~v90(constB96, 2)) | v100(constB97) | v90(constB97, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB96, 2)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, 2))),
% 54.23/34.41 inference(transitivity,[status(thm)],[17851, 17849])).
% 54.23/34.41 tff(17853,plain,
% 54.23/34.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB96, constB97)) | (~v90(constB96, 2)) | v100(constB97) | v90(constB97, 2))),
% 54.23/34.41 inference(quant_inst,[status(thm)],[])).
% 54.23/34.41 tff(17854,plain,
% 54.23/34.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB96, 2)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, 2)),
% 54.23/34.41 inference(modus_ponens,[status(thm)],[17853, 17852])).
% 54.23/34.41 tff(17855,plain,
% 54.23/34.41 ((~v90(constB96, 2)) | v100(constB97) | v90(constB97, 2)),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17854, 2174, 17836])).
% 54.23/34.41 tff(17856,plain,
% 54.23/34.41 ((~v90(constB96, 2)) | v90(constB97, 2)),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17855, 17848])).
% 54.23/34.41 tff(17857,plain,
% 54.23/34.41 (v90(constB97, 2)),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17856, 17830])).
% 54.23/34.41 tff(17858,plain,
% 54.23/34.41 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB97)) | (~v90(constB97, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB97)) | (~v90(constB97, 2)))),
% 54.23/34.41 inference(rewrite,[status(thm)],[])).
% 54.23/34.41 tff(17859,plain,
% 54.23/34.41 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB97)) | (~v90(constB97, 2)))),
% 54.23/34.41 inference(quant_inst,[status(thm)],[])).
% 54.23/34.41 tff(17860,plain,
% 54.23/34.41 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB97)) | (~v90(constB97, 2))),
% 54.23/34.41 inference(modus_ponens,[status(thm)],[17859, 17858])).
% 54.23/34.41 tff(17861,plain,
% 54.23/34.41 (~v121(constB97)),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17860, 2857, 17857])).
% 54.23/34.41 tff(17862,plain,
% 54.23/34.41 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB97)) | (~v90(constB97, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB97)) | (~v90(constB97, 2)))),
% 54.23/34.41 inference(rewrite,[status(thm)],[])).
% 54.23/34.41 tff(17863,plain,
% 54.23/34.41 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB97)) | (~v90(constB97, 2)))),
% 54.23/34.41 inference(quant_inst,[status(thm)],[])).
% 54.23/34.41 tff(17864,plain,
% 54.23/34.41 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB97)) | (~v90(constB97, 2))),
% 54.23/34.41 inference(modus_ponens,[status(thm)],[17863, 17862])).
% 54.23/34.41 tff(17865,plain,
% 54.23/34.41 (~v122(constB97)),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17864, 2797, 17857])).
% 54.23/34.41 tff(17866,plain,
% 54.23/34.41 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB95)) | v130(constB95, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB95)) | v130(constB95, 1))),
% 54.23/34.41 inference(rewrite,[status(thm)],[])).
% 54.23/34.41 tff(17867,plain,
% 54.23/34.41 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB95)) | v130(constB95, 1))),
% 54.23/34.41 inference(quant_inst,[status(thm)],[])).
% 54.23/34.41 tff(17868,plain,
% 54.23/34.41 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB95)) | v130(constB95, 1)),
% 54.23/34.41 inference(modus_ponens,[status(thm)],[17867, 17866])).
% 54.23/34.41 tff(17869,plain,
% 54.23/34.41 (v130(constB95, 1)),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17868, 2808, 17750])).
% 54.23/34.41 tff(17870,plain,
% 54.23/34.41 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB95) | (~v130(constB95, 1)) | v127(constB95, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB95) | (~v130(constB95, 1)) | v127(constB95, 1))),
% 54.23/34.41 inference(rewrite,[status(thm)],[])).
% 54.23/34.41 tff(17871,plain,
% 54.23/34.41 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB95) | (~v130(constB95, 1)) | v127(constB95, 1))),
% 54.23/34.41 inference(quant_inst,[status(thm)],[])).
% 54.23/34.41 tff(17872,plain,
% 54.23/34.41 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB95) | (~v130(constB95, 1)) | v127(constB95, 1)),
% 54.23/34.41 inference(modus_ponens,[status(thm)],[17871, 17870])).
% 54.23/34.41 tff(17873,plain,
% 54.23/34.41 ((~v130(constB95, 1)) | v127(constB95, 1)),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17872, 1593, 17762])).
% 54.23/34.41 tff(17874,plain,
% 54.23/34.41 (v127(constB95, 1)),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17873, 17869])).
% 54.23/34.41 tff(17875,plain,
% 54.23/34.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB95, constB96)) | (~v127(constB95, 1)) | v129(constB96, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB95, constB96)) | (~v127(constB95, 1)) | v129(constB96, 1))),
% 54.23/34.41 inference(rewrite,[status(thm)],[])).
% 54.23/34.41 tff(17876,plain,
% 54.23/34.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB95, constB96)) | (~v127(constB95, 1)) | v129(constB96, 1))),
% 54.23/34.41 inference(quant_inst,[status(thm)],[])).
% 54.23/34.41 tff(17877,plain,
% 54.23/34.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB95, constB96)) | (~v127(constB95, 1)) | v129(constB96, 1)),
% 54.23/34.41 inference(modus_ponens,[status(thm)],[17876, 17875])).
% 54.23/34.41 tff(17878,plain,
% 54.23/34.41 ((~v127(constB95, 1)) | v129(constB96, 1)),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17877, 1608, 17777])).
% 54.23/34.41 tff(17879,plain,
% 54.23/34.41 (v129(constB96, 1)),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17878, 17874])).
% 54.23/34.41 tff(17880,plain,
% 54.23/34.41 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB96, 1) | (~v129(constB96, 1)) | (~v100(constB96)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB96, 1) | (~v129(constB96, 1)) | (~v100(constB96)))),
% 54.23/34.41 inference(rewrite,[status(thm)],[])).
% 54.23/34.41 tff(17881,plain,
% 54.23/34.41 ((v90(constB96, 1) | (~v100(constB96)) | (~v129(constB96, 1))) <=> (v90(constB96, 1) | (~v129(constB96, 1)) | (~v100(constB96)))),
% 54.23/34.41 inference(rewrite,[status(thm)],[])).
% 54.23/34.41 tff(17882,plain,
% 54.23/34.41 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB96, 1) | (~v100(constB96)) | (~v129(constB96, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB96, 1) | (~v129(constB96, 1)) | (~v100(constB96))))),
% 54.23/34.41 inference(monotonicity,[status(thm)],[17881])).
% 54.23/34.41 tff(17883,plain,
% 54.23/34.41 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB96, 1) | (~v100(constB96)) | (~v129(constB96, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB96, 1) | (~v129(constB96, 1)) | (~v100(constB96)))),
% 54.23/34.41 inference(transitivity,[status(thm)],[17882, 17880])).
% 54.23/34.41 tff(17884,plain,
% 54.23/34.41 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB96, 1) | (~v100(constB96)) | (~v129(constB96, 1)))),
% 54.23/34.41 inference(quant_inst,[status(thm)],[])).
% 54.23/34.41 tff(17885,plain,
% 54.23/34.41 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB96, 1) | (~v129(constB96, 1)) | (~v100(constB96))),
% 54.23/34.41 inference(modus_ponens,[status(thm)],[17884, 17883])).
% 54.23/34.41 tff(17886,plain,
% 54.23/34.41 (v90(constB96, 1) | (~v100(constB96))),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17885, 1623, 17879])).
% 54.23/34.41 tff(17887,plain,
% 54.23/34.41 (v90(constB96, 1)),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17886, 17808])).
% 54.23/34.41 tff(17888,plain,
% 54.23/34.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB96, 1)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB96, 1)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, 1))),
% 54.23/34.41 inference(rewrite,[status(thm)],[])).
% 54.23/34.41 tff(17889,plain,
% 54.23/34.41 (((~nextState(constB96, constB97)) | (~v90(constB96, 1)) | v100(constB97) | v90(constB97, 1)) <=> ((~v90(constB96, 1)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, 1))),
% 54.23/34.41 inference(rewrite,[status(thm)],[])).
% 54.23/34.41 tff(17890,plain,
% 54.23/34.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB96, constB97)) | (~v90(constB96, 1)) | v100(constB97) | v90(constB97, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB96, 1)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, 1)))),
% 54.23/34.41 inference(monotonicity,[status(thm)],[17889])).
% 54.23/34.41 tff(17891,plain,
% 54.23/34.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB96, constB97)) | (~v90(constB96, 1)) | v100(constB97) | v90(constB97, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB96, 1)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, 1))),
% 54.23/34.41 inference(transitivity,[status(thm)],[17890, 17888])).
% 54.23/34.41 tff(17892,plain,
% 54.23/34.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB96, constB97)) | (~v90(constB96, 1)) | v100(constB97) | v90(constB97, 1))),
% 54.23/34.41 inference(quant_inst,[status(thm)],[])).
% 54.23/34.41 tff(17893,plain,
% 54.23/34.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB96, 1)) | (~nextState(constB96, constB97)) | v100(constB97) | v90(constB97, 1)),
% 54.23/34.41 inference(modus_ponens,[status(thm)],[17892, 17891])).
% 54.23/34.41 tff(17894,plain,
% 54.23/34.41 ((~v90(constB96, 1)) | v100(constB97) | v90(constB97, 1)),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17893, 1641, 17836])).
% 54.23/34.41 tff(17895,plain,
% 54.23/34.41 ((~v90(constB96, 1)) | v90(constB97, 1)),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17894, 17848])).
% 54.23/34.41 tff(17896,plain,
% 54.23/34.41 (v90(constB97, 1)),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17895, 17887])).
% 54.23/34.41 tff(17897,plain,
% 54.23/34.41 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB97)) | (~v90(constB97, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB97)) | (~v90(constB97, 1)))),
% 54.23/34.41 inference(rewrite,[status(thm)],[])).
% 54.23/34.41 tff(17898,plain,
% 54.23/34.41 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB97)) | (~v90(constB97, 1)))),
% 54.23/34.41 inference(quant_inst,[status(thm)],[])).
% 54.23/34.41 tff(17899,plain,
% 54.23/34.41 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB97)) | (~v90(constB97, 1))),
% 54.23/34.41 inference(modus_ponens,[status(thm)],[17898, 17897])).
% 54.23/34.41 tff(17900,plain,
% 54.23/34.41 (~v119(constB97)),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17899, 2868, 17896])).
% 54.23/34.41 tff(17901,plain,
% 54.23/34.41 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB97)) | (~v90(constB97, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB97)) | (~v90(constB97, 1)))),
% 54.23/34.41 inference(rewrite,[status(thm)],[])).
% 54.23/34.41 tff(17902,plain,
% 54.23/34.41 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB97)) | (~v90(constB97, 1)))),
% 54.23/34.41 inference(quant_inst,[status(thm)],[])).
% 54.23/34.41 tff(17903,plain,
% 54.23/34.41 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB97)) | (~v90(constB97, 1))),
% 54.23/34.41 inference(modus_ponens,[status(thm)],[17902, 17901])).
% 54.23/34.41 tff(17904,plain,
% 54.23/34.41 (~v120(constB97)),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17903, 2846, 17896])).
% 54.23/34.41 tff(17905,plain,
% 54.23/34.41 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB97)) | (~v90(constB97, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB97)) | (~v90(constB97, 1)))),
% 54.23/34.41 inference(rewrite,[status(thm)],[])).
% 54.23/34.41 tff(17906,plain,
% 54.23/34.41 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB97)) | (~v90(constB97, 1)))),
% 54.23/34.41 inference(quant_inst,[status(thm)],[])).
% 54.23/34.41 tff(17907,plain,
% 54.23/34.41 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB97)) | (~v90(constB97, 1))),
% 54.23/34.41 inference(modus_ponens,[status(thm)],[17906, 17905])).
% 54.23/34.41 tff(17908,plain,
% 54.23/34.41 (~v123(constB97)),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17907, 2879, 17896])).
% 54.23/34.41 tff(17909,plain,
% 54.23/34.41 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB97)) | (~v90(constB97, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB97)) | (~v90(constB97, 1)))),
% 54.23/34.41 inference(rewrite,[status(thm)],[])).
% 54.23/34.41 tff(17910,plain,
% 54.23/34.41 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB97)) | (~v90(constB97, 1)))),
% 54.23/34.41 inference(quant_inst,[status(thm)],[])).
% 54.23/34.41 tff(17911,plain,
% 54.23/34.41 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB97)) | (~v90(constB97, 1))),
% 54.23/34.41 inference(modus_ponens,[status(thm)],[17910, 17909])).
% 54.23/34.41 tff(17912,plain,
% 54.23/34.41 (~v124(constB97)),
% 54.23/34.41 inference(unit_resolution,[status(thm)],[17911, 2890, 17896])).
% 54.23/34.41 tff(17913,plain,
% 54.23/34.41 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | v130(constB97, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | v130(constB97, 0))),
% 54.23/34.42 inference(rewrite,[status(thm)],[])).
% 54.23/34.42 tff(17914,plain,
% 54.23/34.42 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | v130(constB97, 0))),
% 54.23/34.42 inference(quant_inst,[status(thm)],[])).
% 54.23/34.42 tff(17915,plain,
% 54.23/34.42 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | v130(constB97, 0)),
% 54.23/34.42 inference(modus_ponens,[status(thm)],[17914, 17913])).
% 54.23/34.42 tff(17916,plain,
% 54.23/34.42 (v130(constB97, 0)),
% 54.23/34.42 inference(unit_resolution,[status(thm)],[17915, 3413, 17912, 17908, 17904, 17900, 17865, 17861])).
% 54.23/34.42 tff(17917,assumption,(v26(constB97)), introduced(assumption)).
% 54.23/34.42 tff(17918,plain,
% 54.23/34.42 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB97))),
% 54.23/34.42 inference(quant_inst,[status(thm)],[])).
% 54.23/34.42 tff(17919,plain,
% 54.23/34.42 ($false),
% 54.23/34.42 inference(unit_resolution,[status(thm)],[17918, 828, 17917])).
% 54.23/34.42 tff(17920,plain,(~v26(constB97)), inference(lemma,lemma(discharge,[]))).
% 54.23/34.42 tff(17921,plain,
% 54.23/34.42 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB97) | (~v130(constB97, 0)) | v127(constB97, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB97) | (~v130(constB97, 0)) | v127(constB97, 0))),
% 54.23/34.42 inference(rewrite,[status(thm)],[])).
% 54.23/34.42 tff(17922,plain,
% 54.23/34.42 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB97) | (~v130(constB97, 0)) | v127(constB97, 0))),
% 54.23/34.42 inference(quant_inst,[status(thm)],[])).
% 54.23/34.42 tff(17923,plain,
% 54.23/34.42 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB97) | (~v130(constB97, 0)) | v127(constB97, 0)),
% 54.23/34.42 inference(modus_ponens,[status(thm)],[17922, 17921])).
% 54.23/34.42 tff(17924,plain,
% 54.23/34.42 ((~v130(constB97, 0)) | v127(constB97, 0)),
% 54.23/34.42 inference(unit_resolution,[status(thm)],[17923, 1347, 17920])).
% 54.23/34.42 tff(17925,plain,
% 54.23/34.42 (v127(constB97, 0)),
% 54.23/34.42 inference(unit_resolution,[status(thm)],[17924, 17916])).
% 54.23/34.42 tff(17926,plain,
% 54.23/34.42 (nextState(constB97, constB98) <=> nextState(constB97, constB98)),
% 54.23/34.42 inference(rewrite,[status(thm)],[])).
% 54.23/34.42 tff(17927,axiom,(nextState(constB97, constB98)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_97_1')).
% 54.23/34.42 tff(17928,plain,
% 54.23/34.42 (nextState(constB97, constB98)),
% 54.23/34.42 inference(modus_ponens,[status(thm)],[17927, 17926])).
% 54.23/34.42 tff(17929,plain,
% 54.23/34.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB97, constB98)) | (~v127(constB97, 0)) | v129(constB98, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB97, constB98)) | (~v127(constB97, 0)) | v129(constB98, 0))),
% 54.23/34.42 inference(rewrite,[status(thm)],[])).
% 54.23/34.42 tff(17930,plain,
% 54.23/34.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB97, constB98)) | (~v127(constB97, 0)) | v129(constB98, 0))),
% 54.23/34.42 inference(quant_inst,[status(thm)],[])).
% 54.23/34.42 tff(17931,plain,
% 54.23/34.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB97, constB98)) | (~v127(constB97, 0)) | v129(constB98, 0)),
% 54.23/34.42 inference(modus_ponens,[status(thm)],[17930, 17929])).
% 54.23/34.42 tff(17932,plain,
% 54.23/34.42 ((~v127(constB97, 0)) | v129(constB98, 0)),
% 54.23/34.42 inference(unit_resolution,[status(thm)],[17931, 1362, 17928])).
% 54.23/34.42 tff(17933,plain,
% 54.23/34.42 (v129(constB98, 0)),
% 54.23/34.42 inference(unit_resolution,[status(thm)],[17932, 17925])).
% 54.23/34.42 tff(17934,plain,
% 54.23/34.42 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB95)) | (~v130(constB95, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB95)) | (~v130(constB95, 0)))),
% 54.23/34.42 inference(rewrite,[status(thm)],[])).
% 54.23/34.42 tff(17935,plain,
% 54.23/34.42 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB95)) | (~v130(constB95, 0)))),
% 54.23/34.42 inference(quant_inst,[status(thm)],[])).
% 54.23/34.42 tff(17936,plain,
% 54.23/34.42 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB95)) | (~v130(constB95, 0))),
% 54.23/34.42 inference(modus_ponens,[status(thm)],[17935, 17934])).
% 54.23/34.42 tff(17937,plain,
% 54.23/34.42 (~v130(constB95, 0)),
% 54.23/34.42 inference(unit_resolution,[status(thm)],[17936, 3274, 17750])).
% 54.23/34.42 tff(17938,plain,
% 54.23/34.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB95, 0)) | v26(constB95) | v130(constB95, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB95, 0)) | v26(constB95) | v130(constB95, 0))),
% 54.23/34.42 inference(rewrite,[status(thm)],[])).
% 54.23/34.42 tff(17939,plain,
% 54.23/34.42 ((v26(constB95) | v130(constB95, 0) | (~v127(constB95, 0))) <=> ((~v127(constB95, 0)) | v26(constB95) | v130(constB95, 0))),
% 54.23/34.42 inference(rewrite,[status(thm)],[])).
% 54.23/34.42 tff(17940,plain,
% 54.23/34.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB95) | v130(constB95, 0) | (~v127(constB95, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB95, 0)) | v26(constB95) | v130(constB95, 0)))),
% 54.23/34.42 inference(monotonicity,[status(thm)],[17939])).
% 54.23/34.42 tff(17941,plain,
% 54.23/34.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB95) | v130(constB95, 0) | (~v127(constB95, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB95, 0)) | v26(constB95) | v130(constB95, 0))),
% 54.23/34.42 inference(transitivity,[status(thm)],[17940, 17938])).
% 54.23/34.42 tff(17942,plain,
% 54.23/34.42 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB95) | v130(constB95, 0) | (~v127(constB95, 0)))),
% 54.23/34.42 inference(quant_inst,[status(thm)],[])).
% 54.23/34.42 tff(17943,plain,
% 54.23/34.42 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB95, 0)) | v26(constB95) | v130(constB95, 0)),
% 54.23/34.42 inference(modus_ponens,[status(thm)],[17942, 17941])).
% 54.23/34.42 tff(17944,plain,
% 54.23/34.42 ((~v127(constB95, 0)) | v130(constB95, 0)),
% 54.23/34.42 inference(unit_resolution,[status(thm)],[17943, 1671, 17762])).
% 54.23/34.42 tff(17945,plain,
% 54.23/34.42 (~v127(constB95, 0)),
% 54.23/34.42 inference(unit_resolution,[status(thm)],[17944, 17937])).
% 54.23/34.42 tff(17946,plain,
% 54.23/34.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB95, constB96)) | v127(constB95, 0) | (~v129(constB96, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB95, constB96)) | v127(constB95, 0) | (~v129(constB96, 0)))),
% 54.23/34.42 inference(rewrite,[status(thm)],[])).
% 54.23/34.42 tff(17947,plain,
% 54.23/34.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB95, constB96)) | v127(constB95, 0) | (~v129(constB96, 0)))),
% 54.23/34.42 inference(quant_inst,[status(thm)],[])).
% 54.23/34.42 tff(17948,plain,
% 54.23/34.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB95, constB96)) | v127(constB95, 0) | (~v129(constB96, 0))),
% 54.23/34.42 inference(modus_ponens,[status(thm)],[17947, 17946])).
% 54.23/34.42 tff(17949,plain,
% 54.23/34.42 (v127(constB95, 0) | (~v129(constB96, 0))),
% 54.23/34.42 inference(unit_resolution,[status(thm)],[17948, 1689, 17777])).
% 54.23/34.42 tff(17950,plain,
% 54.23/34.42 (~v129(constB96, 0)),
% 54.23/34.42 inference(unit_resolution,[status(thm)],[17949, 17945])).
% 54.23/34.42 tff(17951,plain,
% 54.23/34.42 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB96, 0)) | v129(constB96, 0) | (~v100(constB96)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB96, 0)) | v129(constB96, 0) | (~v100(constB96)))),
% 54.23/34.42 inference(rewrite,[status(thm)],[])).
% 54.23/34.42 tff(17952,plain,
% 54.23/34.42 (((~v90(constB96, 0)) | (~v100(constB96)) | v129(constB96, 0)) <=> ((~v90(constB96, 0)) | v129(constB96, 0) | (~v100(constB96)))),
% 54.23/34.42 inference(rewrite,[status(thm)],[])).
% 54.23/34.42 tff(17953,plain,
% 54.23/34.42 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB96, 0)) | (~v100(constB96)) | v129(constB96, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB96, 0)) | v129(constB96, 0) | (~v100(constB96))))),
% 54.23/34.42 inference(monotonicity,[status(thm)],[17952])).
% 54.23/34.42 tff(17954,plain,
% 54.23/34.42 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB96, 0)) | (~v100(constB96)) | v129(constB96, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB96, 0)) | v129(constB96, 0) | (~v100(constB96)))),
% 54.23/34.42 inference(transitivity,[status(thm)],[17953, 17951])).
% 54.23/34.42 tff(17955,plain,
% 54.23/34.42 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB96, 0)) | (~v100(constB96)) | v129(constB96, 0))),
% 54.23/34.42 inference(quant_inst,[status(thm)],[])).
% 54.23/34.42 tff(17956,plain,
% 54.23/34.42 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB96, 0)) | v129(constB96, 0) | (~v100(constB96))),
% 54.23/34.42 inference(modus_ponens,[status(thm)],[17955, 17954])).
% 54.23/34.42 tff(17957,plain,
% 54.23/34.42 ((~v90(constB96, 0)) | (~v100(constB96))),
% 54.23/34.42 inference(unit_resolution,[status(thm)],[17956, 1704, 17950])).
% 54.23/34.42 tff(17958,plain,
% 54.23/34.42 (~v90(constB96, 0)),
% 54.23/34.42 inference(unit_resolution,[status(thm)],[17957, 17808])).
% 54.23/34.42 tff(17959,plain,
% 54.23/34.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB96, 0) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB96, 0) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, 0)))),
% 54.23/34.42 inference(rewrite,[status(thm)],[])).
% 54.23/34.42 tff(17960,plain,
% 54.23/34.42 (((~nextState(constB96, constB97)) | v90(constB96, 0) | v100(constB97) | (~v90(constB97, 0))) <=> (v90(constB96, 0) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, 0)))),
% 54.23/34.42 inference(rewrite,[status(thm)],[])).
% 54.23/34.42 tff(17961,plain,
% 54.23/34.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB96, constB97)) | v90(constB96, 0) | v100(constB97) | (~v90(constB97, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB96, 0) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, 0))))),
% 54.23/34.42 inference(monotonicity,[status(thm)],[17960])).
% 54.23/34.42 tff(17962,plain,
% 54.23/34.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB96, constB97)) | v90(constB96, 0) | v100(constB97) | (~v90(constB97, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB96, 0) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, 0)))),
% 54.23/34.42 inference(transitivity,[status(thm)],[17961, 17959])).
% 54.23/34.42 tff(17963,plain,
% 54.23/34.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB96, constB97)) | v90(constB96, 0) | v100(constB97) | (~v90(constB97, 0)))),
% 54.23/34.42 inference(quant_inst,[status(thm)],[])).
% 54.23/34.42 tff(17964,plain,
% 54.23/34.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB96, 0) | (~nextState(constB96, constB97)) | v100(constB97) | (~v90(constB97, 0))),
% 54.23/34.42 inference(modus_ponens,[status(thm)],[17963, 17962])).
% 54.23/34.42 tff(17965,plain,
% 54.23/34.42 (v90(constB96, 0) | v100(constB97) | (~v90(constB97, 0))),
% 54.23/34.42 inference(unit_resolution,[status(thm)],[17964, 947, 17836])).
% 54.23/34.42 tff(17966,plain,
% 54.23/34.42 (v90(constB96, 0) | (~v90(constB97, 0))),
% 54.23/34.42 inference(unit_resolution,[status(thm)],[17965, 17848])).
% 54.23/34.42 tff(17967,plain,
% 54.23/34.42 (~v90(constB97, 0)),
% 54.23/34.42 inference(unit_resolution,[status(thm)],[17966, 17958])).
% 54.23/34.42 tff(17968,plain,
% 54.23/34.42 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB97, 0) | (~v90(constB97, 1)) | (~v90(constB97, 2)) | v125(constB97))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB97, 0) | (~v90(constB97, 1)) | (~v90(constB97, 2)) | v125(constB97))),
% 54.23/34.42 inference(rewrite,[status(thm)],[])).
% 54.23/34.42 tff(17969,plain,
% 54.23/34.42 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB97, 0) | (~v90(constB97, 1)) | (~v90(constB97, 2)) | v125(constB97))),
% 54.23/34.42 inference(quant_inst,[status(thm)],[])).
% 54.23/34.42 tff(17970,plain,
% 54.23/34.42 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB97, 0) | (~v90(constB97, 1)) | (~v90(constB97, 2)) | v125(constB97)),
% 54.23/34.42 inference(modus_ponens,[status(thm)],[17969, 17968])).
% 54.23/34.42 tff(17971,plain,
% 54.23/34.42 (v125(constB97)),
% 54.23/34.42 inference(unit_resolution,[status(thm)],[17970, 2279, 17967, 17896, 17857])).
% 54.23/34.42 tff(17972,plain,
% 54.23/34.42 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB97)) | v113(constB97))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB97)) | v113(constB97))),
% 54.23/34.42 inference(rewrite,[status(thm)],[])).
% 54.23/34.42 tff(17973,plain,
% 54.23/34.42 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB97)) | v113(constB97))),
% 54.23/34.42 inference(quant_inst,[status(thm)],[])).
% 54.23/34.42 tff(17974,plain,
% 54.23/34.42 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB97)) | v113(constB97)),
% 54.23/34.42 inference(modus_ponens,[status(thm)],[17973, 17972])).
% 54.23/34.42 tff(17975,plain,
% 54.23/34.42 (v113(constB97)),
% 54.23/34.42 inference(unit_resolution,[status(thm)],[17974, 2262, 17971])).
% 54.23/34.42 tff(17976,assumption,(~v108(constB97)), introduced(assumption)).
% 54.23/34.42 tff(17977,plain,
% 54.23/34.42 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB97) | (~v112(constB97)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB97) | (~v112(constB97)))),
% 54.23/34.42 inference(rewrite,[status(thm)],[])).
% 54.23/34.42 tff(17978,plain,
% 54.23/34.42 (((~v112(constB97)) | v108(constB97)) <=> (v108(constB97) | (~v112(constB97)))),
% 54.23/34.42 inference(rewrite,[status(thm)],[])).
% 54.23/34.42 tff(17979,plain,
% 54.23/34.42 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB97)) | v108(constB97))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB97) | (~v112(constB97))))),
% 54.23/34.42 inference(monotonicity,[status(thm)],[17978])).
% 54.23/34.42 tff(17980,plain,
% 54.23/34.42 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB97)) | v108(constB97))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB97) | (~v112(constB97)))),
% 54.23/34.42 inference(transitivity,[status(thm)],[17979, 17977])).
% 54.23/34.42 tff(17981,plain,
% 54.23/34.42 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB97)) | v108(constB97))),
% 54.23/34.42 inference(quant_inst,[status(thm)],[])).
% 54.23/34.42 tff(17982,plain,
% 54.23/34.42 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB97) | (~v112(constB97))),
% 54.23/34.42 inference(modus_ponens,[status(thm)],[17981, 17980])).
% 54.23/34.42 tff(17983,plain,
% 54.23/34.42 (~v112(constB97)),
% 54.23/34.42 inference(unit_resolution,[status(thm)],[17982, 1075, 17976])).
% 54.23/34.42 tff(17984,plain,
% 54.23/34.42 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB97) | (~v26(constB97)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB97) | (~v26(constB97)))),
% 54.23/34.42 inference(rewrite,[status(thm)],[])).
% 54.23/34.42 tff(17985,plain,
% 54.23/34.42 (((~v26(constB97)) | v108(constB97)) <=> (v108(constB97) | (~v26(constB97)))),
% 54.23/34.42 inference(rewrite,[status(thm)],[])).
% 54.23/34.42 tff(17986,plain,
% 54.23/34.42 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB97)) | v108(constB97))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB97) | (~v26(constB97))))),
% 54.23/34.42 inference(monotonicity,[status(thm)],[17985])).
% 54.23/34.42 tff(17987,plain,
% 54.23/34.42 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB97)) | v108(constB97))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB97) | (~v26(constB97)))),
% 54.23/34.42 inference(transitivity,[status(thm)],[17986, 17984])).
% 54.23/34.42 tff(17988,plain,
% 54.23/34.42 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB97)) | v108(constB97))),
% 54.23/34.42 inference(quant_inst,[status(thm)],[])).
% 54.23/34.42 tff(17989,plain,
% 54.23/34.42 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB97) | (~v26(constB97))),
% 54.23/34.42 inference(modus_ponens,[status(thm)],[17988, 17987])).
% 54.23/34.42 tff(17990,plain,
% 54.23/34.42 (~v26(constB97)),
% 54.23/34.42 inference(unit_resolution,[status(thm)],[17989, 2050, 17976])).
% 54.23/34.42 tff(17991,assumption,(v113(constB97)), introduced(assumption)).
% 54.23/34.42 tff(17992,plain,
% 54.23/34.42 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB97) | v112(constB97) | (~v113(constB97)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB97) | v112(constB97) | (~v113(constB97)))),
% 54.23/34.42 inference(rewrite,[status(thm)],[])).
% 54.23/34.42 tff(17993,plain,
% 54.23/34.42 ((v26(constB97) | (~v113(constB97)) | v112(constB97)) <=> (v26(constB97) | v112(constB97) | (~v113(constB97)))),
% 54.23/34.42 inference(rewrite,[status(thm)],[])).
% 54.23/34.42 tff(17994,plain,
% 54.23/34.42 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB97) | (~v113(constB97)) | v112(constB97))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB97) | v112(constB97) | (~v113(constB97))))),
% 54.23/34.42 inference(monotonicity,[status(thm)],[17993])).
% 54.23/34.42 tff(17995,plain,
% 54.23/34.42 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB97) | (~v113(constB97)) | v112(constB97))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB97) | v112(constB97) | (~v113(constB97)))),
% 54.23/34.42 inference(transitivity,[status(thm)],[17994, 17992])).
% 54.23/34.42 tff(17996,plain,
% 54.23/34.42 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB97) | (~v113(constB97)) | v112(constB97))),
% 54.23/34.42 inference(quant_inst,[status(thm)],[])).
% 54.23/34.42 tff(17997,plain,
% 54.23/34.42 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB97) | v112(constB97) | (~v113(constB97))),
% 54.23/34.42 inference(modus_ponens,[status(thm)],[17996, 17995])).
% 54.23/34.42 tff(17998,plain,
% 54.23/34.42 (v26(constB97) | v112(constB97)),
% 54.23/34.42 inference(unit_resolution,[status(thm)],[17997, 1063, 17991])).
% 54.23/34.42 tff(17999,plain,
% 54.23/34.42 ($false),
% 54.23/34.42 inference(unit_resolution,[status(thm)],[17998, 17990, 17983])).
% 54.23/34.42 tff(18000,plain,(v108(constB97) | (~v113(constB97))), inference(lemma,lemma(discharge,[]))).
% 54.23/34.42 tff(18001,plain,
% 54.23/34.42 (v108(constB97)),
% 54.23/34.42 inference(unit_resolution,[status(thm)],[18000, 17975])).
% 54.23/34.42 tff(18002,plain,
% 54.23/34.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97)))),
% 54.23/34.42 inference(rewrite,[status(thm)],[])).
% 54.23/34.42 tff(18003,plain,
% 54.23/34.42 (((~nextState(constB97, constB98)) | (~v108(constB97)) | v110(constB98)) <=> ((~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97)))),
% 54.23/34.42 inference(rewrite,[status(thm)],[])).
% 54.23/34.42 tff(18004,plain,
% 54.23/34.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB97, constB98)) | (~v108(constB97)) | v110(constB98))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97))))),
% 54.23/34.42 inference(monotonicity,[status(thm)],[18003])).
% 54.23/34.42 tff(18005,plain,
% 54.23/34.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB97, constB98)) | (~v108(constB97)) | v110(constB98))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97)))),
% 54.23/34.42 inference(transitivity,[status(thm)],[18004, 18002])).
% 54.23/34.42 tff(18006,plain,
% 54.23/34.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB97, constB98)) | (~v108(constB97)) | v110(constB98))),
% 54.23/34.42 inference(quant_inst,[status(thm)],[])).
% 54.23/34.42 tff(18007,plain,
% 54.23/34.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB97, constB98)) | v110(constB98) | (~v108(constB97))),
% 54.23/34.42 inference(modus_ponens,[status(thm)],[18006, 18005])).
% 54.23/34.42 tff(18008,plain,
% 54.23/34.42 (v110(constB98) | (~v108(constB97))),
% 54.23/34.42 inference(unit_resolution,[status(thm)],[18007, 1095, 17928])).
% 54.23/34.42 tff(18009,plain,
% 54.23/34.42 (v110(constB98)),
% 54.23/34.42 inference(unit_resolution,[status(thm)],[18008, 18001])).
% 54.23/34.42 tff(18010,plain,
% 54.23/34.42 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB97) | (~nextState(constB97, constB98)) | (~v104(constB98)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB97) | (~nextState(constB97, constB98)) | (~v104(constB98)))),
% 54.23/34.42 inference(rewrite,[status(thm)],[])).
% 54.23/34.42 tff(18011,plain,
% 54.23/34.42 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB97) | (~nextState(constB97, constB98)) | (~v104(constB98)))),
% 54.23/34.42 inference(quant_inst,[status(thm)],[])).
% 54.23/34.42 tff(18012,plain,
% 54.23/34.42 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB97) | (~nextState(constB97, constB98)) | (~v104(constB98))),
% 54.23/34.42 inference(modus_ponens,[status(thm)],[18011, 18010])).
% 54.23/34.42 tff(18013,plain,
% 54.23/34.42 (~v104(constB98)),
% 54.23/34.42 inference(unit_resolution,[status(thm)],[18012, 1113, 17928, 17833])).
% 54.23/34.42 tff(18014,plain,
% 54.23/34.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB97, constB98)) | v102(constB98) | v104(constB98))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB97, constB98)) | v102(constB98) | v104(constB98))),
% 54.23/34.42 inference(rewrite,[status(thm)],[])).
% 54.23/34.42 tff(18015,plain,
% 54.23/34.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB97, constB98)) | v102(constB98) | v104(constB98))),
% 54.23/34.42 inference(quant_inst,[status(thm)],[])).
% 54.23/34.42 tff(18016,plain,
% 54.23/34.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB97, constB98)) | v102(constB98) | v104(constB98)),
% 54.23/34.42 inference(modus_ponens,[status(thm)],[18015, 18014])).
% 54.23/34.42 tff(18017,plain,
% 54.23/34.42 (v102(constB98) | v104(constB98)),
% 54.23/34.42 inference(unit_resolution,[status(thm)],[18016, 1127, 17928])).
% 54.23/34.42 tff(18018,plain,
% 54.23/34.42 (v102(constB98)),
% 54.23/34.42 inference(unit_resolution,[status(thm)],[18017, 18013])).
% 54.23/34.42 tff(18019,plain,
% 54.23/34.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB97, constB98)) | v101(constB98) | (~v102(constB98)) | (~v1(constB98)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB97, constB98)) | v101(constB98) | (~v102(constB98)) | (~v1(constB98)))),
% 54.23/34.42 inference(rewrite,[status(thm)],[])).
% 54.23/34.42 tff(18020,plain,
% 54.23/34.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB97, constB98)) | v101(constB98) | (~v102(constB98)) | (~v1(constB98)))),
% 54.23/34.42 inference(quant_inst,[status(thm)],[])).
% 54.23/34.42 tff(18021,plain,
% 54.23/34.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB97, constB98)) | v101(constB98) | (~v102(constB98)) | (~v1(constB98))),
% 54.23/34.42 inference(modus_ponens,[status(thm)],[18020, 18019])).
% 54.23/34.42 tff(18022,plain,
% 54.23/34.42 (v101(constB98) | (~v102(constB98))),
% 54.23/34.42 inference(unit_resolution,[status(thm)],[18021, 1145, 17928, 343])).
% 54.23/34.42 tff(18023,plain,
% 54.23/34.42 (v101(constB98)),
% 54.23/34.42 inference(unit_resolution,[status(thm)],[18022, 18018])).
% 54.23/34.42 tff(18024,plain,
% 54.23/34.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98)))),
% 54.23/34.42 inference(rewrite,[status(thm)],[])).
% 54.23/34.42 tff(18025,plain,
% 54.23/34.42 (((~nextState(constB97, constB98)) | (~v101(constB98)) | (~v110(constB98)) | v100(constB98)) <=> ((~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98)))),
% 54.23/34.42 inference(rewrite,[status(thm)],[])).
% 54.23/34.42 tff(18026,plain,
% 54.23/34.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB97, constB98)) | (~v101(constB98)) | (~v110(constB98)) | v100(constB98))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98))))),
% 54.23/34.42 inference(monotonicity,[status(thm)],[18025])).
% 54.23/34.42 tff(18027,plain,
% 54.23/34.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB97, constB98)) | (~v101(constB98)) | (~v110(constB98)) | v100(constB98))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98)))),
% 54.23/34.42 inference(transitivity,[status(thm)],[18026, 18024])).
% 54.23/34.42 tff(18028,plain,
% 54.23/34.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB97, constB98)) | (~v101(constB98)) | (~v110(constB98)) | v100(constB98))),
% 54.23/34.42 inference(quant_inst,[status(thm)],[])).
% 54.23/34.42 tff(18029,plain,
% 54.23/34.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB97, constB98)) | v100(constB98) | (~v101(constB98)) | (~v110(constB98))),
% 54.23/34.42 inference(modus_ponens,[status(thm)],[18028, 18027])).
% 54.23/34.42 tff(18030,plain,
% 54.23/34.42 (v100(constB98) | (~v101(constB98)) | (~v110(constB98))),
% 54.23/34.42 inference(unit_resolution,[status(thm)],[18029, 1160, 17928])).
% 54.23/34.42 tff(18031,plain,
% 54.23/34.42 (v100(constB98) | (~v110(constB98))),
% 54.23/34.42 inference(unit_resolution,[status(thm)],[18030, 18023])).
% 54.23/34.42 tff(18032,plain,
% 54.23/34.42 (v100(constB98)),
% 54.23/34.42 inference(unit_resolution,[status(thm)],[18031, 18009])).
% 54.23/34.42 tff(18033,plain,
% 54.23/34.42 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB98, 0) | (~v129(constB98, 0)) | (~v100(constB98)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB98, 0) | (~v129(constB98, 0)) | (~v100(constB98)))),
% 54.23/34.42 inference(rewrite,[status(thm)],[])).
% 54.23/34.42 tff(18034,plain,
% 54.23/34.42 ((v90(constB98, 0) | (~v100(constB98)) | (~v129(constB98, 0))) <=> (v90(constB98, 0) | (~v129(constB98, 0)) | (~v100(constB98)))),
% 54.23/34.42 inference(rewrite,[status(thm)],[])).
% 54.23/34.42 tff(18035,plain,
% 54.23/34.42 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB98, 0) | (~v100(constB98)) | (~v129(constB98, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB98, 0) | (~v129(constB98, 0)) | (~v100(constB98))))),
% 54.23/34.42 inference(monotonicity,[status(thm)],[18034])).
% 54.23/34.42 tff(18036,plain,
% 54.23/34.42 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB98, 0) | (~v100(constB98)) | (~v129(constB98, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB98, 0) | (~v129(constB98, 0)) | (~v100(constB98)))),
% 54.23/34.42 inference(transitivity,[status(thm)],[18035, 18033])).
% 54.23/34.42 tff(18037,plain,
% 54.23/34.42 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB98, 0) | (~v100(constB98)) | (~v129(constB98, 0)))),
% 54.23/34.42 inference(quant_inst,[status(thm)],[])).
% 54.23/34.42 tff(18038,plain,
% 54.23/34.42 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB98, 0) | (~v129(constB98, 0)) | (~v100(constB98))),
% 54.23/34.42 inference(modus_ponens,[status(thm)],[18037, 18036])).
% 54.23/34.42 tff(18039,plain,
% 54.23/34.42 (v90(constB98, 0)),
% 54.23/34.42 inference(unit_resolution,[status(thm)],[18038, 1377, 18032, 17933])).
% 54.23/34.42 tff(18040,plain,
% 54.23/34.42 ((~v1(constB99)) <=> (~v1(constB99))),
% 54.23/34.42 inference(rewrite,[status(thm)],[])).
% 54.23/34.42 tff(18041,axiom,(~v1(constB99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_99_1_1')).
% 54.23/34.42 tff(18042,plain,
% 54.23/34.42 (~v1(constB99)),
% 54.23/34.42 inference(modus_ponens,[status(thm)],[18041, 18040])).
% 54.23/34.42 tff(18043,plain,
% 54.23/34.42 (nextState(constB98, constB99) <=> nextState(constB98, constB99)),
% 54.23/34.42 inference(rewrite,[status(thm)],[])).
% 54.23/34.42 tff(18044,axiom,(nextState(constB98, constB99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_98_1')).
% 54.23/34.42 tff(18045,plain,
% 54.23/34.42 (nextState(constB98, constB99)),
% 54.23/34.42 inference(modus_ponens,[status(thm)],[18044, 18043])).
% 54.23/34.42 tff(18046,plain,
% 54.23/34.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99)))),
% 54.23/34.42 inference(rewrite,[status(thm)],[])).
% 54.23/34.42 tff(18047,plain,
% 54.23/34.42 (((~nextState(constB98, constB99)) | (~v101(constB99)) | v1(constB99)) <=> (v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99)))),
% 54.23/34.42 inference(rewrite,[status(thm)],[])).
% 54.23/34.42 tff(18048,plain,
% 54.23/34.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB98, constB99)) | (~v101(constB99)) | v1(constB99))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99))))),
% 54.23/34.42 inference(monotonicity,[status(thm)],[18047])).
% 54.23/34.42 tff(18049,plain,
% 54.23/34.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB98, constB99)) | (~v101(constB99)) | v1(constB99))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99)))),
% 54.23/34.42 inference(transitivity,[status(thm)],[18048, 18046])).
% 54.23/34.42 tff(18050,plain,
% 54.23/34.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB98, constB99)) | (~v101(constB99)) | v1(constB99))),
% 54.23/34.42 inference(quant_inst,[status(thm)],[])).
% 54.23/34.42 tff(18051,plain,
% 54.23/34.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB99) | (~nextState(constB98, constB99)) | (~v101(constB99))),
% 54.23/34.42 inference(modus_ponens,[status(thm)],[18050, 18049])).
% 54.23/34.42 tff(18052,plain,
% 54.23/34.42 (~v101(constB99)),
% 54.23/34.42 inference(unit_resolution,[status(thm)],[18051, 873, 18045, 18042])).
% 54.23/34.42 tff(18053,plain,
% 54.23/34.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB98, constB99)) | v101(constB99) | (~v100(constB99)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB98, constB99)) | v101(constB99) | (~v100(constB99)))),
% 54.23/34.42 inference(rewrite,[status(thm)],[])).
% 54.23/34.42 tff(18054,plain,
% 54.23/34.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB98, constB99)) | v101(constB99) | (~v100(constB99)))),
% 54.23/34.42 inference(quant_inst,[status(thm)],[])).
% 54.23/34.42 tff(18055,plain,
% 54.23/34.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB98, constB99)) | v101(constB99) | (~v100(constB99))),
% 54.23/34.42 inference(modus_ponens,[status(thm)],[18054, 18053])).
% 54.23/34.42 tff(18056,plain,
% 54.23/34.42 (v101(constB99) | (~v100(constB99))),
% 54.23/34.42 inference(unit_resolution,[status(thm)],[18055, 890, 18045])).
% 54.23/34.42 tff(18057,plain,
% 54.23/34.42 (~v100(constB99)),
% 54.23/34.42 inference(unit_resolution,[status(thm)],[18056, 18052])).
% 54.23/34.42 tff(18058,plain,
% 54.23/34.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB98, 0)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB98, 0)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, 0))),
% 54.23/34.42 inference(rewrite,[status(thm)],[])).
% 54.23/34.42 tff(18059,plain,
% 54.23/34.42 (((~nextState(constB98, constB99)) | (~v90(constB98, 0)) | v100(constB99) | v90(constB99, 0)) <=> ((~v90(constB98, 0)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, 0))),
% 54.23/34.42 inference(rewrite,[status(thm)],[])).
% 54.23/34.42 tff(18060,plain,
% 54.23/34.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB98, constB99)) | (~v90(constB98, 0)) | v100(constB99) | v90(constB99, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB98, 0)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, 0)))),
% 54.23/34.42 inference(monotonicity,[status(thm)],[18059])).
% 54.23/34.42 tff(18061,plain,
% 54.23/34.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB98, constB99)) | (~v90(constB98, 0)) | v100(constB99) | v90(constB99, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB98, 0)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, 0))),
% 54.23/34.42 inference(transitivity,[status(thm)],[18060, 18058])).
% 54.23/34.42 tff(18062,plain,
% 54.23/34.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB98, constB99)) | (~v90(constB98, 0)) | v100(constB99) | v90(constB99, 0))),
% 54.23/34.42 inference(quant_inst,[status(thm)],[])).
% 54.23/34.42 tff(18063,plain,
% 54.23/34.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB98, 0)) | (~nextState(constB98, constB99)) | v100(constB99) | v90(constB99, 0)),
% 54.23/34.42 inference(modus_ponens,[status(thm)],[18062, 18061])).
% 54.23/34.42 tff(18064,plain,
% 54.23/34.42 ((~v90(constB98, 0)) | v100(constB99) | v90(constB99, 0)),
% 54.23/34.42 inference(unit_resolution,[status(thm)],[18063, 1395, 18045])).
% 54.23/34.42 tff(18065,plain,
% 54.23/34.42 ((~v90(constB98, 0)) | v90(constB99, 0)),
% 54.23/34.42 inference(unit_resolution,[status(thm)],[18064, 18057])).
% 54.23/34.42 tff(18066,plain,
% 54.23/34.42 (v90(constB99, 0)),
% 54.23/34.42 inference(unit_resolution,[status(thm)],[18065, 18039])).
% 54.23/34.42 tff(18067,plain,
% 54.23/34.42 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, 2)))),
% 54.23/34.42 inference(rewrite,[status(thm)],[])).
% 54.23/34.42 tff(18068,plain,
% 54.23/34.42 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, 2)))),
% 54.23/34.42 inference(quant_inst,[status(thm)],[])).
% 54.23/34.42 tff(18069,plain,
% 54.23/34.42 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, 2))),
% 54.23/34.42 inference(modus_ponens,[status(thm)],[18068, 18067])).
% 54.23/34.42 tff(18070,plain,
% 54.23/34.42 (~v130(constB97, 2)),
% 54.23/34.42 inference(unit_resolution,[status(thm)],[18069, 2904, 17912, 17908, 17904, 17900, 17865, 17861])).
% 54.23/34.42 tff(18071,plain,
% 54.23/34.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB97, 2)) | v26(constB97) | v130(constB97, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB97, 2)) | v26(constB97) | v130(constB97, 2))),
% 54.23/34.42 inference(rewrite,[status(thm)],[])).
% 54.23/34.42 tff(18072,plain,
% 54.23/34.42 ((v26(constB97) | v130(constB97, 2) | (~v127(constB97, 2))) <=> ((~v127(constB97, 2)) | v26(constB97) | v130(constB97, 2))),
% 54.23/34.42 inference(rewrite,[status(thm)],[])).
% 54.23/34.42 tff(18073,plain,
% 54.23/34.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB97) | v130(constB97, 2) | (~v127(constB97, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB97, 2)) | v26(constB97) | v130(constB97, 2)))),
% 54.23/34.42 inference(monotonicity,[status(thm)],[18072])).
% 54.23/34.42 tff(18074,plain,
% 54.23/34.42 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB97) | v130(constB97, 2) | (~v127(constB97, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB97, 2)) | v26(constB97) | v130(constB97, 2))),
% 54.23/34.42 inference(transitivity,[status(thm)],[18073, 18071])).
% 54.23/34.42 tff(18075,plain,
% 54.23/34.42 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB97) | v130(constB97, 2) | (~v127(constB97, 2)))),
% 54.23/34.42 inference(quant_inst,[status(thm)],[])).
% 54.23/34.42 tff(18076,plain,
% 54.23/34.42 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB97, 2)) | v26(constB97) | v130(constB97, 2)),
% 54.23/34.42 inference(modus_ponens,[status(thm)],[18075, 18074])).
% 54.23/34.42 tff(18077,plain,
% 54.23/34.42 ((~v127(constB97, 2)) | v130(constB97, 2)),
% 54.23/34.42 inference(unit_resolution,[status(thm)],[18076, 1190, 17920])).
% 54.23/34.42 tff(18078,plain,
% 54.23/34.42 (~v127(constB97, 2)),
% 54.23/34.42 inference(unit_resolution,[status(thm)],[18077, 18070])).
% 54.23/34.42 tff(18079,plain,
% 54.23/34.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB97, constB98)) | v127(constB97, 2) | (~v129(constB98, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB97, constB98)) | v127(constB97, 2) | (~v129(constB98, 2)))),
% 54.23/34.42 inference(rewrite,[status(thm)],[])).
% 54.23/34.42 tff(18080,plain,
% 54.23/34.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB97, constB98)) | v127(constB97, 2) | (~v129(constB98, 2)))),
% 54.23/34.42 inference(quant_inst,[status(thm)],[])).
% 54.23/34.42 tff(18081,plain,
% 54.23/34.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB97, constB98)) | v127(constB97, 2) | (~v129(constB98, 2))),
% 54.23/34.42 inference(modus_ponens,[status(thm)],[18080, 18079])).
% 54.23/34.42 tff(18082,plain,
% 54.23/34.42 (v127(constB97, 2) | (~v129(constB98, 2))),
% 54.23/34.42 inference(unit_resolution,[status(thm)],[18081, 1208, 17928])).
% 54.23/34.42 tff(18083,plain,
% 54.23/34.42 (~v129(constB98, 2)),
% 54.23/34.42 inference(unit_resolution,[status(thm)],[18082, 18078])).
% 54.23/34.42 tff(18084,plain,
% 54.23/34.42 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB98, 2)) | v129(constB98, 2) | (~v100(constB98)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB98, 2)) | v129(constB98, 2) | (~v100(constB98)))),
% 54.23/34.42 inference(rewrite,[status(thm)],[])).
% 54.23/34.43 tff(18085,plain,
% 54.23/34.43 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB98, 2)) | v129(constB98, 2) | (~v100(constB98)))),
% 54.23/34.43 inference(quant_inst,[status(thm)],[])).
% 54.23/34.43 tff(18086,plain,
% 54.23/34.43 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB98, 2)) | v129(constB98, 2) | (~v100(constB98))),
% 54.23/34.43 inference(modus_ponens,[status(thm)],[18085, 18084])).
% 54.23/34.43 tff(18087,plain,
% 54.23/34.43 (~v90(constB98, 2)),
% 54.23/34.43 inference(unit_resolution,[status(thm)],[18086, 1223, 18032, 18083])).
% 54.23/34.43 tff(18088,plain,
% 54.23/34.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB98, 2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB98, 2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, 2)))),
% 54.23/34.43 inference(rewrite,[status(thm)],[])).
% 54.23/34.43 tff(18089,plain,
% 54.23/34.43 (((~nextState(constB98, constB99)) | v90(constB98, 2) | v100(constB99) | (~v90(constB99, 2))) <=> (v90(constB98, 2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, 2)))),
% 54.23/34.43 inference(rewrite,[status(thm)],[])).
% 54.23/34.43 tff(18090,plain,
% 54.23/34.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB98, constB99)) | v90(constB98, 2) | v100(constB99) | (~v90(constB99, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB98, 2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, 2))))),
% 54.23/34.43 inference(monotonicity,[status(thm)],[18089])).
% 54.23/34.43 tff(18091,plain,
% 54.23/34.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB98, constB99)) | v90(constB98, 2) | v100(constB99) | (~v90(constB99, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB98, 2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, 2)))),
% 54.23/34.43 inference(transitivity,[status(thm)],[18090, 18088])).
% 54.23/34.43 tff(18092,plain,
% 54.23/34.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB98, constB99)) | v90(constB98, 2) | v100(constB99) | (~v90(constB99, 2)))),
% 54.23/34.43 inference(quant_inst,[status(thm)],[])).
% 54.23/34.43 tff(18093,plain,
% 54.23/34.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB98, 2) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, 2))),
% 54.23/34.43 inference(modus_ponens,[status(thm)],[18092, 18091])).
% 54.23/34.43 tff(18094,plain,
% 54.23/34.43 (v90(constB98, 2) | v100(constB99) | (~v90(constB99, 2))),
% 54.23/34.43 inference(unit_resolution,[status(thm)],[18093, 905, 18045])).
% 54.23/34.43 tff(18095,plain,
% 54.23/34.43 (v90(constB98, 2) | (~v90(constB99, 2))),
% 54.23/34.43 inference(unit_resolution,[status(thm)],[18094, 18057])).
% 54.23/34.43 tff(18096,plain,
% 54.23/34.43 (~v90(constB99, 2)),
% 54.23/34.43 inference(unit_resolution,[status(thm)],[18095, 18087])).
% 54.23/34.43 tff(18097,plain,
% 54.23/34.43 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, 1)))),
% 54.23/34.43 inference(rewrite,[status(thm)],[])).
% 54.23/34.43 tff(18098,plain,
% 54.23/34.43 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, 1)))),
% 54.23/34.43 inference(quant_inst,[status(thm)],[])).
% 54.23/34.43 tff(18099,plain,
% 54.23/34.43 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB97) | v120(constB97) | v121(constB97) | v122(constB97) | v123(constB97) | v124(constB97) | (~v130(constB97, 1))),
% 54.23/34.43 inference(modus_ponens,[status(thm)],[18098, 18097])).
% 54.23/34.43 tff(18100,plain,
% 54.23/34.43 (~v130(constB97, 1)),
% 54.23/34.43 inference(unit_resolution,[status(thm)],[18099, 3309, 17912, 17908, 17904, 17900, 17865, 17861])).
% 54.23/34.43 tff(18101,plain,
% 54.23/34.43 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB97, 1)) | v26(constB97) | v130(constB97, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB97, 1)) | v26(constB97) | v130(constB97, 1))),
% 54.23/34.43 inference(rewrite,[status(thm)],[])).
% 54.23/34.43 tff(18102,plain,
% 54.23/34.43 ((v26(constB97) | v130(constB97, 1) | (~v127(constB97, 1))) <=> ((~v127(constB97, 1)) | v26(constB97) | v130(constB97, 1))),
% 54.23/34.43 inference(rewrite,[status(thm)],[])).
% 54.23/34.43 tff(18103,plain,
% 54.23/34.43 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB97) | v130(constB97, 1) | (~v127(constB97, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB97, 1)) | v26(constB97) | v130(constB97, 1)))),
% 54.23/34.43 inference(monotonicity,[status(thm)],[18102])).
% 54.23/34.43 tff(18104,plain,
% 54.23/34.43 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB97) | v130(constB97, 1) | (~v127(constB97, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB97, 1)) | v26(constB97) | v130(constB97, 1))),
% 54.23/34.43 inference(transitivity,[status(thm)],[18103, 18101])).
% 54.23/34.43 tff(18105,plain,
% 54.23/34.43 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB97) | v130(constB97, 1) | (~v127(constB97, 1)))),
% 54.23/34.43 inference(quant_inst,[status(thm)],[])).
% 54.23/34.43 tff(18106,plain,
% 54.23/34.43 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB97, 1)) | v26(constB97) | v130(constB97, 1)),
% 54.23/34.43 inference(modus_ponens,[status(thm)],[18105, 18104])).
% 54.23/34.43 tff(18107,plain,
% 54.23/34.43 ((~v127(constB97, 1)) | v130(constB97, 1)),
% 54.23/34.43 inference(unit_resolution,[status(thm)],[18106, 1276, 17920])).
% 54.23/34.43 tff(18108,plain,
% 54.23/34.43 (~v127(constB97, 1)),
% 54.23/34.43 inference(unit_resolution,[status(thm)],[18107, 18100])).
% 54.23/34.43 tff(18109,plain,
% 54.23/34.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB97, constB98)) | v127(constB97, 1) | (~v129(constB98, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB97, constB98)) | v127(constB97, 1) | (~v129(constB98, 1)))),
% 54.23/34.43 inference(rewrite,[status(thm)],[])).
% 54.23/34.43 tff(18110,plain,
% 54.23/34.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB97, constB98)) | v127(constB97, 1) | (~v129(constB98, 1)))),
% 54.23/34.43 inference(quant_inst,[status(thm)],[])).
% 54.23/34.43 tff(18111,plain,
% 54.23/34.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB97, constB98)) | v127(constB97, 1) | (~v129(constB98, 1))),
% 54.23/34.43 inference(modus_ponens,[status(thm)],[18110, 18109])).
% 54.23/34.43 tff(18112,plain,
% 54.23/34.43 (v127(constB97, 1) | (~v129(constB98, 1))),
% 54.23/34.43 inference(unit_resolution,[status(thm)],[18111, 1294, 17928])).
% 54.23/34.43 tff(18113,plain,
% 54.23/34.43 (~v129(constB98, 1)),
% 54.23/34.43 inference(unit_resolution,[status(thm)],[18112, 18108])).
% 54.23/34.43 tff(18114,plain,
% 54.23/34.43 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB98, 1)) | v129(constB98, 1) | (~v100(constB98)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB98, 1)) | v129(constB98, 1) | (~v100(constB98)))),
% 54.23/34.43 inference(rewrite,[status(thm)],[])).
% 54.23/34.43 tff(18115,plain,
% 54.23/34.43 (((~v90(constB98, 1)) | (~v100(constB98)) | v129(constB98, 1)) <=> ((~v90(constB98, 1)) | v129(constB98, 1) | (~v100(constB98)))),
% 54.23/34.43 inference(rewrite,[status(thm)],[])).
% 54.23/34.43 tff(18116,plain,
% 54.23/34.43 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB98, 1)) | (~v100(constB98)) | v129(constB98, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB98, 1)) | v129(constB98, 1) | (~v100(constB98))))),
% 54.23/34.43 inference(monotonicity,[status(thm)],[18115])).
% 54.23/34.43 tff(18117,plain,
% 54.23/34.43 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB98, 1)) | (~v100(constB98)) | v129(constB98, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB98, 1)) | v129(constB98, 1) | (~v100(constB98)))),
% 54.23/34.43 inference(transitivity,[status(thm)],[18116, 18114])).
% 54.23/34.43 tff(18118,plain,
% 54.23/34.43 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB98, 1)) | (~v100(constB98)) | v129(constB98, 1))),
% 54.23/34.43 inference(quant_inst,[status(thm)],[])).
% 54.23/34.43 tff(18119,plain,
% 54.23/34.43 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB98, 1)) | v129(constB98, 1) | (~v100(constB98))),
% 54.23/34.43 inference(modus_ponens,[status(thm)],[18118, 18117])).
% 54.23/34.43 tff(18120,plain,
% 54.23/34.43 (~v90(constB98, 1)),
% 54.23/34.43 inference(unit_resolution,[status(thm)],[18119, 1309, 18032, 18113])).
% 54.23/34.43 tff(18121,plain,
% 54.23/34.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB98, 1) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB98, 1) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, 1)))),
% 54.23/34.43 inference(rewrite,[status(thm)],[])).
% 54.23/34.43 tff(18122,plain,
% 54.23/34.43 (((~nextState(constB98, constB99)) | v90(constB98, 1) | v100(constB99) | (~v90(constB99, 1))) <=> (v90(constB98, 1) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, 1)))),
% 54.23/34.43 inference(rewrite,[status(thm)],[])).
% 54.23/34.43 tff(18123,plain,
% 54.23/34.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB98, constB99)) | v90(constB98, 1) | v100(constB99) | (~v90(constB99, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB98, 1) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, 1))))),
% 54.23/34.43 inference(monotonicity,[status(thm)],[18122])).
% 54.23/34.43 tff(18124,plain,
% 54.23/34.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB98, constB99)) | v90(constB98, 1) | v100(constB99) | (~v90(constB99, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB98, 1) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, 1)))),
% 54.23/34.43 inference(transitivity,[status(thm)],[18123, 18121])).
% 54.23/34.43 tff(18125,plain,
% 54.23/34.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB98, constB99)) | v90(constB98, 1) | v100(constB99) | (~v90(constB99, 1)))),
% 54.23/34.43 inference(quant_inst,[status(thm)],[])).
% 54.23/34.43 tff(18126,plain,
% 54.23/34.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB98, 1) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, 1))),
% 54.23/34.43 inference(modus_ponens,[status(thm)],[18125, 18124])).
% 54.23/34.43 tff(18127,plain,
% 54.23/34.43 (v90(constB98, 1) | v100(constB99) | (~v90(constB99, 1))),
% 54.23/34.43 inference(unit_resolution,[status(thm)],[18126, 926, 18045])).
% 54.23/34.43 tff(18128,plain,
% 54.23/34.43 (v90(constB98, 1) | (~v90(constB99, 1))),
% 54.23/34.43 inference(unit_resolution,[status(thm)],[18127, 18057])).
% 54.23/34.43 tff(18129,plain,
% 54.23/34.43 (~v90(constB99, 1)),
% 54.23/34.43 inference(unit_resolution,[status(thm)],[18128, 18120])).
% 54.23/34.43 tff(18130,plain,
% 54.23/34.43 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB99, 0)) | v90(constB99, 1) | v90(constB99, 2) | v120(constB99))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB99, 0)) | v90(constB99, 1) | v90(constB99, 2) | v120(constB99))),
% 54.23/34.43 inference(rewrite,[status(thm)],[])).
% 54.23/34.43 tff(18131,plain,
% 54.23/34.43 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB99, 0)) | v90(constB99, 1) | v90(constB99, 2) | v120(constB99))),
% 54.23/34.43 inference(quant_inst,[status(thm)],[])).
% 54.23/34.43 tff(18132,plain,
% 54.23/34.43 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB99, 0)) | v90(constB99, 1) | v90(constB99, 2) | v120(constB99)),
% 54.23/34.43 inference(modus_ponens,[status(thm)],[18131, 18130])).
% 54.23/34.43 tff(18133,plain,
% 54.23/34.43 (v120(constB99)),
% 54.23/34.43 inference(unit_resolution,[status(thm)],[18132, 1414, 18066, 18129, 18096])).
% 54.23/34.43 tff(18134,plain,
% 54.23/34.43 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB99)) | (~v130(constB99, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB99)) | (~v130(constB99, 0)))),
% 54.23/34.43 inference(rewrite,[status(thm)],[])).
% 54.23/34.43 tff(18135,plain,
% 54.23/34.43 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB99)) | (~v130(constB99, 0)))),
% 54.23/34.43 inference(quant_inst,[status(thm)],[])).
% 54.23/34.43 tff(18136,plain,
% 54.23/34.43 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB99)) | (~v130(constB99, 0))),
% 54.23/34.43 inference(modus_ponens,[status(thm)],[18135, 18134])).
% 54.23/34.43 tff(18137,plain,
% 54.23/34.43 (~v130(constB99, 0)),
% 54.23/34.43 inference(unit_resolution,[status(thm)],[18136, 1657, 18133])).
% 54.23/34.43 tff(18138,plain,
% 54.23/34.43 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB99)) | v118(constB99))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB99)) | v118(constB99))),
% 54.23/34.43 inference(rewrite,[status(thm)],[])).
% 54.23/34.43 tff(18139,plain,
% 54.23/34.43 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB99)) | v118(constB99))),
% 54.23/34.43 inference(quant_inst,[status(thm)],[])).
% 54.23/34.43 tff(18140,plain,
% 54.23/34.43 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB99)) | v118(constB99)),
% 54.23/34.43 inference(modus_ponens,[status(thm)],[18139, 18138])).
% 54.23/34.43 tff(18141,plain,
% 54.23/34.43 (v118(constB99)),
% 54.23/34.43 inference(unit_resolution,[status(thm)],[18140, 1425, 18133])).
% 54.23/34.43 tff(18142,plain,
% 54.23/34.43 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB99) | (~v118(constB99)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB99) | (~v118(constB99)))),
% 54.23/34.43 inference(rewrite,[status(thm)],[])).
% 54.23/34.43 tff(18143,plain,
% 54.23/34.43 (((~v118(constB99)) | v117(constB99)) <=> (v117(constB99) | (~v118(constB99)))),
% 54.23/34.43 inference(rewrite,[status(thm)],[])).
% 54.23/34.43 tff(18144,plain,
% 54.23/34.43 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB99)) | v117(constB99))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB99) | (~v118(constB99))))),
% 54.23/34.43 inference(monotonicity,[status(thm)],[18143])).
% 54.23/34.43 tff(18145,plain,
% 54.23/34.43 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB99)) | v117(constB99))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB99) | (~v118(constB99)))),
% 54.23/34.43 inference(transitivity,[status(thm)],[18144, 18142])).
% 54.23/34.43 tff(18146,plain,
% 54.23/34.43 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB99)) | v117(constB99))),
% 54.23/34.43 inference(quant_inst,[status(thm)],[])).
% 54.23/34.43 tff(18147,plain,
% 54.23/34.43 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB99) | (~v118(constB99))),
% 54.23/34.43 inference(modus_ponens,[status(thm)],[18146, 18145])).
% 54.23/34.43 tff(18148,plain,
% 54.23/34.43 (v117(constB99)),
% 54.23/34.43 inference(unit_resolution,[status(thm)],[18147, 993, 18141])).
% 54.23/34.43 tff(18149,plain,
% 54.23/34.43 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB99) | (~v117(constB99)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB99) | (~v117(constB99)))),
% 54.23/34.43 inference(rewrite,[status(thm)],[])).
% 54.23/34.43 tff(18150,plain,
% 54.23/34.43 (((~v117(constB99)) | v116(constB99)) <=> (v116(constB99) | (~v117(constB99)))),
% 54.23/34.43 inference(rewrite,[status(thm)],[])).
% 54.23/34.43 tff(18151,plain,
% 54.23/34.43 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB99)) | v116(constB99))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB99) | (~v117(constB99))))),
% 54.23/34.43 inference(monotonicity,[status(thm)],[18150])).
% 54.23/34.43 tff(18152,plain,
% 54.23/34.43 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB99)) | v116(constB99))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB99) | (~v117(constB99)))),
% 54.23/34.43 inference(transitivity,[status(thm)],[18151, 18149])).
% 54.23/34.43 tff(18153,plain,
% 54.23/34.43 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB99)) | v116(constB99))),
% 54.23/34.43 inference(quant_inst,[status(thm)],[])).
% 54.23/34.43 tff(18154,plain,
% 54.23/34.43 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB99) | (~v117(constB99))),
% 54.23/34.43 inference(modus_ponens,[status(thm)],[18153, 18152])).
% 54.23/34.43 tff(18155,plain,
% 54.23/34.43 (v116(constB99)),
% 54.23/34.43 inference(unit_resolution,[status(thm)],[18154, 1007, 18148])).
% 54.23/34.43 tff(18156,plain,
% 54.23/34.43 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB99) | (~v116(constB99)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB99) | (~v116(constB99)))),
% 54.23/34.43 inference(rewrite,[status(thm)],[])).
% 54.23/34.43 tff(18157,plain,
% 54.23/34.43 (((~v116(constB99)) | v115(constB99)) <=> (v115(constB99) | (~v116(constB99)))),
% 54.23/34.43 inference(rewrite,[status(thm)],[])).
% 54.23/34.43 tff(18158,plain,
% 54.23/34.43 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB99)) | v115(constB99))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB99) | (~v116(constB99))))),
% 54.23/34.43 inference(monotonicity,[status(thm)],[18157])).
% 54.23/34.43 tff(18159,plain,
% 54.23/34.43 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB99)) | v115(constB99))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB99) | (~v116(constB99)))),
% 54.23/34.43 inference(transitivity,[status(thm)],[18158, 18156])).
% 54.23/34.43 tff(18160,plain,
% 54.23/34.43 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB99)) | v115(constB99))),
% 54.23/34.43 inference(quant_inst,[status(thm)],[])).
% 54.23/34.43 tff(18161,plain,
% 54.23/34.43 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB99) | (~v116(constB99))),
% 54.23/34.43 inference(modus_ponens,[status(thm)],[18160, 18159])).
% 54.23/34.43 tff(18162,plain,
% 54.23/34.43 (v115(constB99)),
% 54.23/34.43 inference(unit_resolution,[status(thm)],[18161, 1021, 18155])).
% 54.23/34.43 tff(18163,plain,
% 54.23/34.43 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB99) | (~v115(constB99)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB99) | (~v115(constB99)))),
% 54.23/34.43 inference(rewrite,[status(thm)],[])).
% 54.23/34.43 tff(18164,plain,
% 54.23/34.43 (((~v115(constB99)) | v114(constB99)) <=> (v114(constB99) | (~v115(constB99)))),
% 54.23/34.43 inference(rewrite,[status(thm)],[])).
% 54.23/34.43 tff(18165,plain,
% 54.23/34.43 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB99)) | v114(constB99))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB99) | (~v115(constB99))))),
% 54.23/34.43 inference(monotonicity,[status(thm)],[18164])).
% 54.23/34.43 tff(18166,plain,
% 54.23/34.43 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB99)) | v114(constB99))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB99) | (~v115(constB99)))),
% 54.23/34.43 inference(transitivity,[status(thm)],[18165, 18163])).
% 54.23/34.43 tff(18167,plain,
% 54.23/34.43 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB99)) | v114(constB99))),
% 54.23/34.43 inference(quant_inst,[status(thm)],[])).
% 54.23/34.43 tff(18168,plain,
% 54.23/34.43 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB99) | (~v115(constB99))),
% 54.23/34.43 inference(modus_ponens,[status(thm)],[18167, 18166])).
% 54.23/34.43 tff(18169,plain,
% 54.23/34.43 (v114(constB99)),
% 54.23/34.43 inference(unit_resolution,[status(thm)],[18168, 1035, 18162])).
% 54.23/34.43 tff(18170,plain,
% 54.23/34.43 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB99) | (~v114(constB99)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB99) | (~v114(constB99)))),
% 54.23/34.43 inference(rewrite,[status(thm)],[])).
% 54.23/34.43 tff(18171,plain,
% 54.23/34.43 (((~v114(constB99)) | v113(constB99)) <=> (v113(constB99) | (~v114(constB99)))),
% 54.23/34.43 inference(rewrite,[status(thm)],[])).
% 54.23/34.43 tff(18172,plain,
% 54.23/34.43 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB99)) | v113(constB99))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB99) | (~v114(constB99))))),
% 54.23/34.43 inference(monotonicity,[status(thm)],[18171])).
% 54.23/34.43 tff(18173,plain,
% 54.23/34.43 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB99)) | v113(constB99))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB99) | (~v114(constB99)))),
% 54.23/34.43 inference(transitivity,[status(thm)],[18172, 18170])).
% 54.23/34.43 tff(18174,plain,
% 54.23/34.43 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB99)) | v113(constB99))),
% 54.23/34.43 inference(quant_inst,[status(thm)],[])).
% 54.23/34.43 tff(18175,plain,
% 54.23/34.43 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB99) | (~v114(constB99))),
% 54.23/34.43 inference(modus_ponens,[status(thm)],[18174, 18173])).
% 54.23/34.43 tff(18176,plain,
% 54.23/34.43 (v113(constB99)),
% 54.23/34.43 inference(unit_resolution,[status(thm)],[18175, 1049, 18169])).
% 54.23/34.43 tff(18177,assumption,(v26(constB99)), introduced(assumption)).
% 54.23/34.43 tff(18178,plain,
% 54.23/34.43 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB99))),
% 54.23/34.43 inference(quant_inst,[status(thm)],[])).
% 54.23/34.43 tff(18179,plain,
% 54.23/34.43 ($false),
% 54.23/34.43 inference(unit_resolution,[status(thm)],[18178, 828, 18177])).
% 54.23/34.43 tff(18180,plain,(~v26(constB99)), inference(lemma,lemma(discharge,[]))).
% 54.23/34.43 tff(18181,assumption,(~v26(constB99)), introduced(assumption)).
% 54.23/34.43 tff(18182,assumption,(v113(constB99)), introduced(assumption)).
% 54.23/34.43 tff(18183,plain,
% 54.23/34.43 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB99) | v112(constB99) | (~v113(constB99)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB99) | v112(constB99) | (~v113(constB99)))),
% 54.23/34.43 inference(rewrite,[status(thm)],[])).
% 54.23/34.43 tff(18184,plain,
% 54.23/34.43 ((v26(constB99) | (~v113(constB99)) | v112(constB99)) <=> (v26(constB99) | v112(constB99) | (~v113(constB99)))),
% 54.23/34.43 inference(rewrite,[status(thm)],[])).
% 54.23/34.43 tff(18185,plain,
% 54.23/34.43 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB99) | (~v113(constB99)) | v112(constB99))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB99) | v112(constB99) | (~v113(constB99))))),
% 54.23/34.43 inference(monotonicity,[status(thm)],[18184])).
% 54.23/34.43 tff(18186,plain,
% 54.23/34.43 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB99) | (~v113(constB99)) | v112(constB99))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB99) | v112(constB99) | (~v113(constB99)))),
% 54.23/34.43 inference(transitivity,[status(thm)],[18185, 18183])).
% 54.23/34.43 tff(18187,plain,
% 54.23/34.43 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB99) | (~v113(constB99)) | v112(constB99))),
% 54.23/34.43 inference(quant_inst,[status(thm)],[])).
% 54.23/34.43 tff(18188,plain,
% 54.23/34.43 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB99) | v112(constB99) | (~v113(constB99))),
% 54.23/34.43 inference(modus_ponens,[status(thm)],[18187, 18186])).
% 54.23/34.43 tff(18189,plain,
% 54.23/34.43 (v26(constB99) | v112(constB99)),
% 54.23/34.43 inference(unit_resolution,[status(thm)],[18188, 1063, 18182])).
% 54.23/34.43 tff(18190,plain,
% 54.23/34.43 (v112(constB99)),
% 54.23/34.43 inference(unit_resolution,[status(thm)],[18189, 18181])).
% 54.23/34.43 tff(18191,assumption,(~v130(constB99, 0)), introduced(assumption)).
% 54.23/34.43 tff(18192,plain,
% 54.23/34.43 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB99, 0)) | v26(constB99) | v130(constB99, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB99, 0)) | v26(constB99) | v130(constB99, 0))),
% 54.23/34.43 inference(rewrite,[status(thm)],[])).
% 54.23/34.43 tff(18193,plain,
% 54.23/34.43 ((v26(constB99) | v130(constB99, 0) | (~v127(constB99, 0))) <=> ((~v127(constB99, 0)) | v26(constB99) | v130(constB99, 0))),
% 54.23/34.43 inference(rewrite,[status(thm)],[])).
% 54.23/34.43 tff(18194,plain,
% 54.23/34.43 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB99) | v130(constB99, 0) | (~v127(constB99, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB99, 0)) | v26(constB99) | v130(constB99, 0)))),
% 54.23/34.43 inference(monotonicity,[status(thm)],[18193])).
% 54.23/34.43 tff(18195,plain,
% 54.23/34.43 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB99) | v130(constB99, 0) | (~v127(constB99, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB99, 0)) | v26(constB99) | v130(constB99, 0))),
% 54.23/34.43 inference(transitivity,[status(thm)],[18194, 18192])).
% 54.23/34.43 tff(18196,plain,
% 54.23/34.43 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB99) | v130(constB99, 0) | (~v127(constB99, 0)))),
% 54.23/34.43 inference(quant_inst,[status(thm)],[])).
% 54.23/34.43 tff(18197,plain,
% 54.23/34.43 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB99, 0)) | v26(constB99) | v130(constB99, 0)),
% 54.23/34.43 inference(modus_ponens,[status(thm)],[18196, 18195])).
% 54.23/34.43 tff(18198,plain,
% 54.23/34.43 ((~v127(constB99, 0)) | v26(constB99)),
% 54.23/34.43 inference(unit_resolution,[status(thm)],[18197, 1671, 18191])).
% 54.23/34.43 tff(18199,plain,
% 54.23/34.43 (~v127(constB99, 0)),
% 54.23/34.43 inference(unit_resolution,[status(thm)],[18198, 18181])).
% 54.23/34.43 tff(18200,plain,
% 54.23/34.43 (nextState(constB99, constB100) <=> nextState(constB99, constB100)),
% 54.23/34.43 inference(rewrite,[status(thm)],[])).
% 54.23/34.43 tff(18201,axiom,(nextState(constB99, constB100)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_99_1')).
% 54.23/34.43 tff(18202,plain,
% 54.23/34.43 (nextState(constB99, constB100)),
% 54.23/34.43 inference(modus_ponens,[status(thm)],[18201, 18200])).
% 54.23/34.43 tff(18203,plain,
% 54.23/34.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB99, constB100)) | v127(constB99, 0) | (~v129(constB100, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB99, constB100)) | v127(constB99, 0) | (~v129(constB100, 0)))),
% 54.23/34.43 inference(rewrite,[status(thm)],[])).
% 54.23/34.43 tff(18204,plain,
% 54.23/34.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB99, constB100)) | v127(constB99, 0) | (~v129(constB100, 0)))),
% 54.23/34.43 inference(quant_inst,[status(thm)],[])).
% 54.23/34.43 tff(18205,plain,
% 54.23/34.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB99, constB100)) | v127(constB99, 0) | (~v129(constB100, 0))),
% 54.23/34.43 inference(modus_ponens,[status(thm)],[18204, 18203])).
% 54.23/34.43 tff(18206,plain,
% 54.23/34.43 (v127(constB99, 0) | (~v129(constB100, 0))),
% 54.23/34.43 inference(unit_resolution,[status(thm)],[18205, 1689, 18202])).
% 54.23/34.43 tff(18207,plain,
% 54.23/34.43 (~v129(constB100, 0)),
% 54.23/34.43 inference(unit_resolution,[status(thm)],[18206, 18199])).
% 54.23/34.43 tff(18208,assumption,(v90(constB100, 0)), introduced(assumption)).
% 54.23/34.43 tff(18209,plain,
% 54.23/34.43 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB100, 0)) | v129(constB100, 0) | (~v100(constB100)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB100, 0)) | v129(constB100, 0) | (~v100(constB100)))),
% 54.23/34.43 inference(rewrite,[status(thm)],[])).
% 54.23/34.43 tff(18210,plain,
% 54.23/34.43 (((~v90(constB100, 0)) | (~v100(constB100)) | v129(constB100, 0)) <=> ((~v90(constB100, 0)) | v129(constB100, 0) | (~v100(constB100)))),
% 54.23/34.43 inference(rewrite,[status(thm)],[])).
% 54.23/34.43 tff(18211,plain,
% 54.23/34.43 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB100, 0)) | (~v100(constB100)) | v129(constB100, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB100, 0)) | v129(constB100, 0) | (~v100(constB100))))),
% 54.23/34.43 inference(monotonicity,[status(thm)],[18210])).
% 54.23/34.43 tff(18212,plain,
% 54.23/34.43 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB100, 0)) | (~v100(constB100)) | v129(constB100, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB100, 0)) | v129(constB100, 0) | (~v100(constB100)))),
% 54.23/34.43 inference(transitivity,[status(thm)],[18211, 18209])).
% 54.23/34.43 tff(18213,plain,
% 54.23/34.43 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB100, 0)) | (~v100(constB100)) | v129(constB100, 0))),
% 54.23/34.43 inference(quant_inst,[status(thm)],[])).
% 54.23/34.43 tff(18214,plain,
% 54.23/34.43 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB100, 0)) | v129(constB100, 0) | (~v100(constB100))),
% 54.23/34.43 inference(modus_ponens,[status(thm)],[18213, 18212])).
% 54.23/34.43 tff(18215,plain,
% 54.23/34.43 (v129(constB100, 0) | (~v100(constB100))),
% 54.23/34.43 inference(unit_resolution,[status(thm)],[18214, 1704, 18208])).
% 54.23/34.43 tff(18216,plain,
% 54.23/34.43 (~v100(constB100)),
% 54.23/34.43 inference(unit_resolution,[status(thm)],[18215, 18207])).
% 54.23/34.43 tff(18217,plain,
% 54.23/34.43 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB99) | (~nextState(constB99, constB100)) | (~v104(constB100)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB99) | (~nextState(constB99, constB100)) | (~v104(constB100)))),
% 54.23/34.43 inference(rewrite,[status(thm)],[])).
% 54.23/34.43 tff(18218,plain,
% 54.23/34.43 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB99) | (~nextState(constB99, constB100)) | (~v104(constB100)))),
% 54.23/34.43 inference(quant_inst,[status(thm)],[])).
% 54.23/34.43 tff(18219,plain,
% 54.23/34.43 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB99) | (~nextState(constB99, constB100)) | (~v104(constB100))),
% 54.23/34.43 inference(modus_ponens,[status(thm)],[18218, 18217])).
% 54.23/34.43 tff(18220,plain,
% 54.23/34.43 (~v104(constB100)),
% 54.23/34.43 inference(unit_resolution,[status(thm)],[18219, 1113, 18202, 18042])).
% 54.23/34.43 tff(18221,plain,
% 54.23/34.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB99, constB100)) | v102(constB100) | v104(constB100))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB99, constB100)) | v102(constB100) | v104(constB100))),
% 54.23/34.43 inference(rewrite,[status(thm)],[])).
% 54.23/34.43 tff(18222,plain,
% 54.23/34.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB99, constB100)) | v102(constB100) | v104(constB100))),
% 54.23/34.43 inference(quant_inst,[status(thm)],[])).
% 54.23/34.43 tff(18223,plain,
% 54.23/34.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB99, constB100)) | v102(constB100) | v104(constB100)),
% 54.23/34.43 inference(modus_ponens,[status(thm)],[18222, 18221])).
% 54.23/34.43 tff(18224,plain,
% 54.23/34.43 (v102(constB100) | v104(constB100)),
% 54.23/34.43 inference(unit_resolution,[status(thm)],[18223, 1127, 18202])).
% 54.23/34.43 tff(18225,plain,
% 54.23/34.43 (v102(constB100)),
% 54.23/34.43 inference(unit_resolution,[status(thm)],[18224, 18220])).
% 54.23/34.43 tff(18226,plain,
% 54.23/34.43 (v1(constB100) <=> v1(constB100)),
% 54.23/34.43 inference(rewrite,[status(thm)],[])).
% 54.23/34.43 tff(18227,axiom,(v1(constB100)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_100_1')).
% 54.23/34.43 tff(18228,plain,
% 54.23/34.43 (v1(constB100)),
% 54.23/34.43 inference(modus_ponens,[status(thm)],[18227, 18226])).
% 54.23/34.43 tff(18229,plain,
% 54.23/34.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB99, constB100)) | v101(constB100) | (~v102(constB100)) | (~v1(constB100)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB99, constB100)) | v101(constB100) | (~v102(constB100)) | (~v1(constB100)))),
% 54.23/34.43 inference(rewrite,[status(thm)],[])).
% 54.23/34.43 tff(18230,plain,
% 54.23/34.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB99, constB100)) | v101(constB100) | (~v102(constB100)) | (~v1(constB100)))),
% 54.23/34.43 inference(quant_inst,[status(thm)],[])).
% 54.23/34.43 tff(18231,plain,
% 54.23/34.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB99, constB100)) | v101(constB100) | (~v102(constB100)) | (~v1(constB100))),
% 54.23/34.43 inference(modus_ponens,[status(thm)],[18230, 18229])).
% 54.23/34.43 tff(18232,plain,
% 54.23/34.43 (v101(constB100) | (~v102(constB100))),
% 54.23/34.43 inference(unit_resolution,[status(thm)],[18231, 1145, 18202, 18228])).
% 54.23/34.43 tff(18233,plain,
% 54.23/34.43 (v101(constB100)),
% 54.23/34.43 inference(unit_resolution,[status(thm)],[18232, 18225])).
% 54.23/34.43 tff(18234,plain,
% 54.23/34.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100)))),
% 54.23/34.43 inference(rewrite,[status(thm)],[])).
% 54.23/34.43 tff(18235,plain,
% 54.23/34.43 (((~nextState(constB99, constB100)) | (~v101(constB100)) | (~v110(constB100)) | v100(constB100)) <=> ((~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100)))),
% 54.23/34.43 inference(rewrite,[status(thm)],[])).
% 54.23/34.43 tff(18236,plain,
% 54.23/34.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB99, constB100)) | (~v101(constB100)) | (~v110(constB100)) | v100(constB100))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100))))),
% 54.23/34.43 inference(monotonicity,[status(thm)],[18235])).
% 54.23/34.43 tff(18237,plain,
% 54.23/34.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB99, constB100)) | (~v101(constB100)) | (~v110(constB100)) | v100(constB100))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100)))),
% 54.23/34.43 inference(transitivity,[status(thm)],[18236, 18234])).
% 54.23/34.43 tff(18238,plain,
% 54.23/34.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB99, constB100)) | (~v101(constB100)) | (~v110(constB100)) | v100(constB100))),
% 54.23/34.43 inference(quant_inst,[status(thm)],[])).
% 54.23/34.43 tff(18239,plain,
% 54.23/34.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB99, constB100)) | v100(constB100) | (~v101(constB100)) | (~v110(constB100))),
% 54.23/34.43 inference(modus_ponens,[status(thm)],[18238, 18237])).
% 54.23/34.43 tff(18240,plain,
% 54.23/34.43 (v100(constB100) | (~v101(constB100)) | (~v110(constB100))),
% 54.23/34.43 inference(unit_resolution,[status(thm)],[18239, 1160, 18202])).
% 54.23/34.43 tff(18241,plain,
% 54.23/34.43 (v100(constB100) | (~v110(constB100))),
% 54.23/34.43 inference(unit_resolution,[status(thm)],[18240, 18233])).
% 54.23/34.43 tff(18242,plain,
% 54.23/34.43 (~v110(constB100)),
% 54.23/34.43 inference(unit_resolution,[status(thm)],[18241, 18216])).
% 54.23/34.43 tff(18243,plain,
% 54.23/34.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99)))),
% 54.23/34.43 inference(rewrite,[status(thm)],[])).
% 54.23/34.43 tff(18244,plain,
% 54.23/34.43 (((~nextState(constB99, constB100)) | (~v108(constB99)) | v110(constB100)) <=> ((~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99)))),
% 54.23/34.43 inference(rewrite,[status(thm)],[])).
% 54.23/34.43 tff(18245,plain,
% 54.23/34.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB99, constB100)) | (~v108(constB99)) | v110(constB100))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99))))),
% 54.23/34.43 inference(monotonicity,[status(thm)],[18244])).
% 54.23/34.43 tff(18246,plain,
% 54.23/34.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB99, constB100)) | (~v108(constB99)) | v110(constB100))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99)))),
% 54.23/34.43 inference(transitivity,[status(thm)],[18245, 18243])).
% 54.23/34.43 tff(18247,plain,
% 54.23/34.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB99, constB100)) | (~v108(constB99)) | v110(constB100))),
% 54.23/34.43 inference(quant_inst,[status(thm)],[])).
% 54.23/34.43 tff(18248,plain,
% 54.23/34.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB99, constB100)) | v110(constB100) | (~v108(constB99))),
% 54.23/34.43 inference(modus_ponens,[status(thm)],[18247, 18246])).
% 54.23/34.43 tff(18249,plain,
% 54.23/34.43 (v110(constB100) | (~v108(constB99))),
% 54.23/34.43 inference(unit_resolution,[status(thm)],[18248, 1095, 18202])).
% 54.23/34.43 tff(18250,plain,
% 54.23/34.43 (~v108(constB99)),
% 54.23/34.43 inference(unit_resolution,[status(thm)],[18249, 18242])).
% 54.23/34.43 tff(18251,plain,
% 54.23/34.43 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB99) | (~v112(constB99)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB99) | (~v112(constB99)))),
% 54.23/34.43 inference(rewrite,[status(thm)],[])).
% 54.23/34.43 tff(18252,plain,
% 54.23/34.43 (((~v112(constB99)) | v108(constB99)) <=> (v108(constB99) | (~v112(constB99)))),
% 54.23/34.43 inference(rewrite,[status(thm)],[])).
% 54.23/34.43 tff(18253,plain,
% 54.23/34.43 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB99)) | v108(constB99))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB99) | (~v112(constB99))))),
% 54.23/34.43 inference(monotonicity,[status(thm)],[18252])).
% 54.23/34.43 tff(18254,plain,
% 54.23/34.43 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB99)) | v108(constB99))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB99) | (~v112(constB99)))),
% 54.23/34.43 inference(transitivity,[status(thm)],[18253, 18251])).
% 54.23/34.43 tff(18255,plain,
% 54.23/34.43 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB99)) | v108(constB99))),
% 54.23/34.43 inference(quant_inst,[status(thm)],[])).
% 54.23/34.43 tff(18256,plain,
% 54.23/34.43 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB99) | (~v112(constB99))),
% 54.23/34.43 inference(modus_ponens,[status(thm)],[18255, 18254])).
% 54.23/34.43 tff(18257,plain,
% 54.23/34.43 ($false),
% 54.23/34.43 inference(unit_resolution,[status(thm)],[18256, 1075, 18250, 18190])).
% 54.23/34.43 tff(18258,plain,(v26(constB99) | (~v90(constB100, 0)) | (~v113(constB99)) | v130(constB99, 0)), inference(lemma,lemma(discharge,[]))).
% 54.23/34.43 tff(18259,plain,
% 54.23/34.43 ((~v90(constB100, 0)) | (~v113(constB99)) | v130(constB99, 0)),
% 54.23/34.43 inference(unit_resolution,[status(thm)],[18258, 18180])).
% 54.23/34.43 tff(18260,plain,
% 54.23/34.43 (~v90(constB100, 0)),
% 54.23/34.43 inference(unit_resolution,[status(thm)],[18259, 18176, 18137])).
% 54.23/34.43 tff(18261,plain,
% 54.23/34.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB99, 0)) | (~nextState(constB99, constB100)) | v100(constB100) | v90(constB100, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB99, 0)) | (~nextState(constB99, constB100)) | v100(constB100) | v90(constB100, 0))),
% 54.23/34.43 inference(rewrite,[status(thm)],[])).
% 54.23/34.43 tff(18262,plain,
% 54.23/34.43 (((~nextState(constB99, constB100)) | (~v90(constB99, 0)) | v100(constB100) | v90(constB100, 0)) <=> ((~v90(constB99, 0)) | (~nextState(constB99, constB100)) | v100(constB100) | v90(constB100, 0))),
% 54.23/34.43 inference(rewrite,[status(thm)],[])).
% 54.23/34.43 tff(18263,plain,
% 54.23/34.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB99, constB100)) | (~v90(constB99, 0)) | v100(constB100) | v90(constB100, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB99, 0)) | (~nextState(constB99, constB100)) | v100(constB100) | v90(constB100, 0)))),
% 54.23/34.44 inference(monotonicity,[status(thm)],[18262])).
% 54.23/34.44 tff(18264,plain,
% 54.23/34.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB99, constB100)) | (~v90(constB99, 0)) | v100(constB100) | v90(constB100, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB99, 0)) | (~nextState(constB99, constB100)) | v100(constB100) | v90(constB100, 0))),
% 54.23/34.44 inference(transitivity,[status(thm)],[18263, 18261])).
% 54.23/34.44 tff(18265,plain,
% 54.23/34.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB99, constB100)) | (~v90(constB99, 0)) | v100(constB100) | v90(constB100, 0))),
% 54.23/34.44 inference(quant_inst,[status(thm)],[])).
% 54.23/34.44 tff(18266,plain,
% 54.23/34.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB99, 0)) | (~nextState(constB99, constB100)) | v100(constB100) | v90(constB100, 0)),
% 54.23/34.44 inference(modus_ponens,[status(thm)],[18265, 18264])).
% 54.23/34.44 tff(18267,plain,
% 54.23/34.44 ((~v90(constB99, 0)) | v100(constB100) | v90(constB100, 0)),
% 54.23/34.44 inference(unit_resolution,[status(thm)],[18266, 1395, 18202])).
% 54.23/34.44 tff(18268,plain,
% 54.23/34.44 (v100(constB100)),
% 54.23/34.44 inference(unit_resolution,[status(thm)],[18267, 18260, 18066])).
% 54.23/34.44 tff(18269,plain,
% 54.23/34.44 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB99)) | (~v130(constB99, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB99)) | (~v130(constB99, 2)))),
% 54.23/34.44 inference(rewrite,[status(thm)],[])).
% 54.23/34.44 tff(18270,plain,
% 54.23/34.44 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB99)) | (~v130(constB99, 2)))),
% 54.23/34.44 inference(quant_inst,[status(thm)],[])).
% 54.23/34.44 tff(18271,plain,
% 54.23/34.44 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB99)) | (~v130(constB99, 2))),
% 54.23/34.44 inference(modus_ponens,[status(thm)],[18270, 18269])).
% 54.23/34.44 tff(18272,plain,
% 54.23/34.44 (~v130(constB99, 2)),
% 54.23/34.44 inference(unit_resolution,[status(thm)],[18271, 1523, 18133])).
% 54.23/34.44 tff(18273,plain,
% 54.23/34.44 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB99, 2)) | v26(constB99) | v130(constB99, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB99, 2)) | v26(constB99) | v130(constB99, 2))),
% 54.23/34.44 inference(rewrite,[status(thm)],[])).
% 54.23/34.44 tff(18274,plain,
% 54.23/34.44 ((v26(constB99) | v130(constB99, 2) | (~v127(constB99, 2))) <=> ((~v127(constB99, 2)) | v26(constB99) | v130(constB99, 2))),
% 54.23/34.44 inference(rewrite,[status(thm)],[])).
% 54.23/34.44 tff(18275,plain,
% 54.23/34.44 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB99) | v130(constB99, 2) | (~v127(constB99, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB99, 2)) | v26(constB99) | v130(constB99, 2)))),
% 54.23/34.44 inference(monotonicity,[status(thm)],[18274])).
% 54.23/34.44 tff(18276,plain,
% 54.23/34.44 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB99) | v130(constB99, 2) | (~v127(constB99, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB99, 2)) | v26(constB99) | v130(constB99, 2))),
% 54.23/34.44 inference(transitivity,[status(thm)],[18275, 18273])).
% 54.23/34.44 tff(18277,plain,
% 54.23/34.44 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB99) | v130(constB99, 2) | (~v127(constB99, 2)))),
% 54.23/34.44 inference(quant_inst,[status(thm)],[])).
% 54.23/34.44 tff(18278,plain,
% 54.23/34.44 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB99, 2)) | v26(constB99) | v130(constB99, 2)),
% 54.23/34.44 inference(modus_ponens,[status(thm)],[18277, 18276])).
% 54.23/34.44 tff(18279,plain,
% 54.23/34.44 ((~v127(constB99, 2)) | v130(constB99, 2)),
% 54.23/34.44 inference(unit_resolution,[status(thm)],[18278, 1190, 18180])).
% 54.23/34.44 tff(18280,plain,
% 54.23/34.44 (~v127(constB99, 2)),
% 54.23/34.44 inference(unit_resolution,[status(thm)],[18279, 18272])).
% 54.23/34.44 tff(18281,plain,
% 54.23/34.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB99, constB100)) | v127(constB99, 2) | (~v129(constB100, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB99, constB100)) | v127(constB99, 2) | (~v129(constB100, 2)))),
% 54.23/34.44 inference(rewrite,[status(thm)],[])).
% 54.23/34.44 tff(18282,plain,
% 54.23/34.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB99, constB100)) | v127(constB99, 2) | (~v129(constB100, 2)))),
% 54.23/34.44 inference(quant_inst,[status(thm)],[])).
% 54.23/34.44 tff(18283,plain,
% 54.23/34.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB99, constB100)) | v127(constB99, 2) | (~v129(constB100, 2))),
% 54.23/34.44 inference(modus_ponens,[status(thm)],[18282, 18281])).
% 54.23/34.44 tff(18284,plain,
% 54.23/34.44 (v127(constB99, 2) | (~v129(constB100, 2))),
% 54.23/34.44 inference(unit_resolution,[status(thm)],[18283, 1208, 18202])).
% 54.23/34.44 tff(18285,plain,
% 54.23/34.44 (~v129(constB100, 2)),
% 54.23/34.44 inference(unit_resolution,[status(thm)],[18284, 18280])).
% 54.23/34.44 tff(18286,plain,
% 54.23/34.44 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB100, 2)) | v129(constB100, 2) | (~v100(constB100)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB100, 2)) | v129(constB100, 2) | (~v100(constB100)))),
% 54.23/34.44 inference(rewrite,[status(thm)],[])).
% 54.23/34.44 tff(18287,plain,
% 54.23/34.44 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB100, 2)) | v129(constB100, 2) | (~v100(constB100)))),
% 54.23/34.44 inference(quant_inst,[status(thm)],[])).
% 54.23/34.44 tff(18288,plain,
% 54.23/34.44 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB100, 2)) | v129(constB100, 2) | (~v100(constB100))),
% 54.23/34.44 inference(modus_ponens,[status(thm)],[18287, 18286])).
% 54.23/34.44 tff(18289,plain,
% 54.23/34.44 ((~v90(constB100, 2)) | (~v100(constB100))),
% 54.23/34.44 inference(unit_resolution,[status(thm)],[18288, 1223, 18285])).
% 54.23/34.44 tff(18290,plain,
% 54.23/34.44 (~v90(constB100, 2)),
% 54.23/34.44 inference(unit_resolution,[status(thm)],[18289, 18268])).
% 54.23/34.44 tff(18291,plain,
% 54.23/34.44 ((~v1(constB101)) <=> (~v1(constB101))),
% 54.23/34.44 inference(rewrite,[status(thm)],[])).
% 54.23/34.44 tff(18292,axiom,(~v1(constB101)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_101_1_1')).
% 54.23/34.44 tff(18293,plain,
% 54.23/34.44 (~v1(constB101)),
% 54.23/34.44 inference(modus_ponens,[status(thm)],[18292, 18291])).
% 54.23/34.44 tff(18294,plain,
% 54.23/34.44 (nextState(constB100, constB101) <=> nextState(constB100, constB101)),
% 54.23/34.44 inference(rewrite,[status(thm)],[])).
% 54.23/34.44 tff(18295,axiom,(nextState(constB100, constB101)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_100_1')).
% 54.23/34.44 tff(18296,plain,
% 54.23/34.44 (nextState(constB100, constB101)),
% 54.23/34.44 inference(modus_ponens,[status(thm)],[18295, 18294])).
% 54.23/34.44 tff(18297,plain,
% 54.23/34.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101)))),
% 54.23/34.44 inference(rewrite,[status(thm)],[])).
% 54.23/34.44 tff(18298,plain,
% 54.23/34.44 (((~nextState(constB100, constB101)) | (~v101(constB101)) | v1(constB101)) <=> (v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101)))),
% 54.23/34.44 inference(rewrite,[status(thm)],[])).
% 54.23/34.44 tff(18299,plain,
% 54.23/34.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB100, constB101)) | (~v101(constB101)) | v1(constB101))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101))))),
% 54.23/34.44 inference(monotonicity,[status(thm)],[18298])).
% 54.23/34.44 tff(18300,plain,
% 54.23/34.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB100, constB101)) | (~v101(constB101)) | v1(constB101))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101)))),
% 54.23/34.44 inference(transitivity,[status(thm)],[18299, 18297])).
% 54.23/34.44 tff(18301,plain,
% 54.23/34.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB100, constB101)) | (~v101(constB101)) | v1(constB101))),
% 54.23/34.44 inference(quant_inst,[status(thm)],[])).
% 54.23/34.44 tff(18302,plain,
% 54.23/34.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB101) | (~nextState(constB100, constB101)) | (~v101(constB101))),
% 54.23/34.44 inference(modus_ponens,[status(thm)],[18301, 18300])).
% 54.23/34.44 tff(18303,plain,
% 54.23/34.44 (~v101(constB101)),
% 54.23/34.44 inference(unit_resolution,[status(thm)],[18302, 873, 18296, 18293])).
% 54.23/34.44 tff(18304,plain,
% 54.23/34.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB100, constB101)) | v101(constB101) | (~v100(constB101)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB100, constB101)) | v101(constB101) | (~v100(constB101)))),
% 54.23/34.44 inference(rewrite,[status(thm)],[])).
% 54.23/34.44 tff(18305,plain,
% 54.23/34.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB100, constB101)) | v101(constB101) | (~v100(constB101)))),
% 54.23/34.44 inference(quant_inst,[status(thm)],[])).
% 54.23/34.44 tff(18306,plain,
% 54.23/34.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB100, constB101)) | v101(constB101) | (~v100(constB101))),
% 54.23/34.44 inference(modus_ponens,[status(thm)],[18305, 18304])).
% 54.23/34.44 tff(18307,plain,
% 54.23/34.44 (v101(constB101) | (~v100(constB101))),
% 54.23/34.44 inference(unit_resolution,[status(thm)],[18306, 890, 18296])).
% 54.23/34.44 tff(18308,plain,
% 54.23/34.44 (~v100(constB101)),
% 54.23/34.44 inference(unit_resolution,[status(thm)],[18307, 18303])).
% 54.23/34.44 tff(18309,plain,
% 54.23/34.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB100, 2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB100, 2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, 2)))),
% 54.23/34.44 inference(rewrite,[status(thm)],[])).
% 54.23/34.44 tff(18310,plain,
% 54.23/34.44 (((~nextState(constB100, constB101)) | v90(constB100, 2) | v100(constB101) | (~v90(constB101, 2))) <=> (v90(constB100, 2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, 2)))),
% 54.23/34.44 inference(rewrite,[status(thm)],[])).
% 54.23/34.44 tff(18311,plain,
% 54.23/34.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB100, constB101)) | v90(constB100, 2) | v100(constB101) | (~v90(constB101, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB100, 2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, 2))))),
% 54.23/34.44 inference(monotonicity,[status(thm)],[18310])).
% 54.23/34.44 tff(18312,plain,
% 54.23/34.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB100, constB101)) | v90(constB100, 2) | v100(constB101) | (~v90(constB101, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB100, 2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, 2)))),
% 54.23/34.44 inference(transitivity,[status(thm)],[18311, 18309])).
% 54.23/34.44 tff(18313,plain,
% 54.23/34.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB100, constB101)) | v90(constB100, 2) | v100(constB101) | (~v90(constB101, 2)))),
% 54.23/34.44 inference(quant_inst,[status(thm)],[])).
% 54.23/34.44 tff(18314,plain,
% 54.23/34.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB100, 2) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, 2))),
% 54.23/34.44 inference(modus_ponens,[status(thm)],[18313, 18312])).
% 54.23/34.44 tff(18315,plain,
% 54.23/34.44 (v90(constB100, 2) | v100(constB101) | (~v90(constB101, 2))),
% 54.23/34.44 inference(unit_resolution,[status(thm)],[18314, 905, 18296])).
% 54.23/34.44 tff(18316,plain,
% 54.23/34.44 (v90(constB100, 2) | (~v90(constB101, 2))),
% 54.23/34.44 inference(unit_resolution,[status(thm)],[18315, 18308])).
% 54.23/34.44 tff(18317,plain,
% 54.23/34.44 (~v90(constB101, 2)),
% 54.23/34.44 inference(unit_resolution,[status(thm)],[18316, 18290])).
% 54.23/34.44 tff(18318,plain,
% 54.23/34.44 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB99)) | v130(constB99, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB99)) | v130(constB99, 1))),
% 54.23/34.44 inference(rewrite,[status(thm)],[])).
% 54.23/34.44 tff(18319,plain,
% 54.23/34.44 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB99)) | v130(constB99, 1))),
% 54.23/34.44 inference(quant_inst,[status(thm)],[])).
% 54.23/34.44 tff(18320,plain,
% 54.23/34.44 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB99)) | v130(constB99, 1)),
% 54.23/34.44 inference(modus_ponens,[status(thm)],[18319, 18318])).
% 54.23/34.44 tff(18321,plain,
% 54.23/34.44 (v130(constB99, 1)),
% 54.23/34.44 inference(unit_resolution,[status(thm)],[18320, 1579, 18133])).
% 54.23/34.44 tff(18322,plain,
% 54.23/34.44 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB99) | (~v130(constB99, 1)) | v127(constB99, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB99) | (~v130(constB99, 1)) | v127(constB99, 1))),
% 54.23/34.44 inference(rewrite,[status(thm)],[])).
% 54.23/34.44 tff(18323,plain,
% 54.23/34.44 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB99) | (~v130(constB99, 1)) | v127(constB99, 1))),
% 54.23/34.44 inference(quant_inst,[status(thm)],[])).
% 54.23/34.44 tff(18324,plain,
% 54.23/34.44 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB99) | (~v130(constB99, 1)) | v127(constB99, 1)),
% 54.23/34.44 inference(modus_ponens,[status(thm)],[18323, 18322])).
% 54.23/34.44 tff(18325,plain,
% 54.23/34.44 ((~v130(constB99, 1)) | v127(constB99, 1)),
% 54.23/34.44 inference(unit_resolution,[status(thm)],[18324, 1593, 18180])).
% 54.23/34.44 tff(18326,plain,
% 54.23/34.44 (v127(constB99, 1)),
% 54.23/34.44 inference(unit_resolution,[status(thm)],[18325, 18321])).
% 54.23/34.44 tff(18327,plain,
% 54.23/34.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB99, constB100)) | (~v127(constB99, 1)) | v129(constB100, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB99, constB100)) | (~v127(constB99, 1)) | v129(constB100, 1))),
% 54.23/34.44 inference(rewrite,[status(thm)],[])).
% 54.23/34.44 tff(18328,plain,
% 54.23/34.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB99, constB100)) | (~v127(constB99, 1)) | v129(constB100, 1))),
% 54.23/34.44 inference(quant_inst,[status(thm)],[])).
% 54.23/34.44 tff(18329,plain,
% 54.23/34.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB99, constB100)) | (~v127(constB99, 1)) | v129(constB100, 1)),
% 54.23/34.44 inference(modus_ponens,[status(thm)],[18328, 18327])).
% 54.23/34.44 tff(18330,plain,
% 54.23/34.44 ((~v127(constB99, 1)) | v129(constB100, 1)),
% 54.23/34.44 inference(unit_resolution,[status(thm)],[18329, 1608, 18202])).
% 54.23/34.44 tff(18331,plain,
% 54.23/34.44 (v129(constB100, 1)),
% 54.23/34.44 inference(unit_resolution,[status(thm)],[18330, 18326])).
% 54.23/34.44 tff(18332,plain,
% 54.23/34.44 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB100, 1) | (~v129(constB100, 1)) | (~v100(constB100)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB100, 1) | (~v129(constB100, 1)) | (~v100(constB100)))),
% 54.23/34.44 inference(rewrite,[status(thm)],[])).
% 54.23/34.44 tff(18333,plain,
% 54.23/34.44 ((v90(constB100, 1) | (~v100(constB100)) | (~v129(constB100, 1))) <=> (v90(constB100, 1) | (~v129(constB100, 1)) | (~v100(constB100)))),
% 54.23/34.44 inference(rewrite,[status(thm)],[])).
% 54.23/34.44 tff(18334,plain,
% 54.23/34.44 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB100, 1) | (~v100(constB100)) | (~v129(constB100, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB100, 1) | (~v129(constB100, 1)) | (~v100(constB100))))),
% 54.23/34.44 inference(monotonicity,[status(thm)],[18333])).
% 54.23/34.44 tff(18335,plain,
% 54.23/34.44 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB100, 1) | (~v100(constB100)) | (~v129(constB100, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB100, 1) | (~v129(constB100, 1)) | (~v100(constB100)))),
% 54.23/34.44 inference(transitivity,[status(thm)],[18334, 18332])).
% 54.23/34.44 tff(18336,plain,
% 54.23/34.44 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB100, 1) | (~v100(constB100)) | (~v129(constB100, 1)))),
% 54.23/34.44 inference(quant_inst,[status(thm)],[])).
% 54.23/34.44 tff(18337,plain,
% 54.23/34.44 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB100, 1) | (~v129(constB100, 1)) | (~v100(constB100))),
% 54.23/34.44 inference(modus_ponens,[status(thm)],[18336, 18335])).
% 54.23/34.44 tff(18338,plain,
% 54.23/34.44 (v90(constB100, 1) | (~v100(constB100))),
% 54.23/34.44 inference(unit_resolution,[status(thm)],[18337, 1623, 18331])).
% 54.23/34.44 tff(18339,plain,
% 54.23/34.44 (v90(constB100, 1)),
% 54.23/34.44 inference(unit_resolution,[status(thm)],[18338, 18268])).
% 54.23/34.44 tff(18340,plain,
% 54.23/34.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB100, 1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB100, 1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, 1))),
% 54.23/34.44 inference(rewrite,[status(thm)],[])).
% 54.23/34.44 tff(18341,plain,
% 54.23/34.44 (((~nextState(constB100, constB101)) | (~v90(constB100, 1)) | v100(constB101) | v90(constB101, 1)) <=> ((~v90(constB100, 1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, 1))),
% 54.23/34.44 inference(rewrite,[status(thm)],[])).
% 54.23/34.44 tff(18342,plain,
% 54.23/34.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB100, constB101)) | (~v90(constB100, 1)) | v100(constB101) | v90(constB101, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB100, 1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, 1)))),
% 54.23/34.44 inference(monotonicity,[status(thm)],[18341])).
% 54.23/34.44 tff(18343,plain,
% 54.23/34.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB100, constB101)) | (~v90(constB100, 1)) | v100(constB101) | v90(constB101, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB100, 1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, 1))),
% 54.23/34.44 inference(transitivity,[status(thm)],[18342, 18340])).
% 54.23/34.44 tff(18344,plain,
% 54.23/34.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB100, constB101)) | (~v90(constB100, 1)) | v100(constB101) | v90(constB101, 1))),
% 54.23/34.44 inference(quant_inst,[status(thm)],[])).
% 54.23/34.44 tff(18345,plain,
% 54.23/34.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB100, 1)) | (~nextState(constB100, constB101)) | v100(constB101) | v90(constB101, 1)),
% 54.23/34.44 inference(modus_ponens,[status(thm)],[18344, 18343])).
% 54.23/34.44 tff(18346,plain,
% 54.23/34.44 ((~v90(constB100, 1)) | v100(constB101) | v90(constB101, 1)),
% 54.23/34.44 inference(unit_resolution,[status(thm)],[18345, 1641, 18296])).
% 54.23/34.44 tff(18347,plain,
% 54.23/34.44 ((~v90(constB100, 1)) | v90(constB101, 1)),
% 54.23/34.44 inference(unit_resolution,[status(thm)],[18346, 18308])).
% 54.23/34.44 tff(18348,plain,
% 54.23/34.44 (v90(constB101, 1)),
% 54.23/34.44 inference(unit_resolution,[status(thm)],[18347, 18339])).
% 54.23/34.44 tff(18349,plain,
% 54.23/34.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB100, 0) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB100, 0) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, 0)))),
% 54.23/34.44 inference(rewrite,[status(thm)],[])).
% 54.23/34.44 tff(18350,plain,
% 54.23/34.44 (((~nextState(constB100, constB101)) | v90(constB100, 0) | v100(constB101) | (~v90(constB101, 0))) <=> (v90(constB100, 0) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, 0)))),
% 54.23/34.44 inference(rewrite,[status(thm)],[])).
% 54.23/34.44 tff(18351,plain,
% 54.23/34.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB100, constB101)) | v90(constB100, 0) | v100(constB101) | (~v90(constB101, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB100, 0) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, 0))))),
% 54.23/34.44 inference(monotonicity,[status(thm)],[18350])).
% 54.23/34.44 tff(18352,plain,
% 54.23/34.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB100, constB101)) | v90(constB100, 0) | v100(constB101) | (~v90(constB101, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB100, 0) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, 0)))),
% 54.23/34.44 inference(transitivity,[status(thm)],[18351, 18349])).
% 54.23/34.44 tff(18353,plain,
% 54.23/34.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB100, constB101)) | v90(constB100, 0) | v100(constB101) | (~v90(constB101, 0)))),
% 54.23/34.44 inference(quant_inst,[status(thm)],[])).
% 54.23/34.44 tff(18354,plain,
% 54.23/34.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB100, 0) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, 0))),
% 54.23/34.44 inference(modus_ponens,[status(thm)],[18353, 18352])).
% 54.23/34.44 tff(18355,plain,
% 54.23/34.44 (v90(constB100, 0) | v100(constB101) | (~v90(constB101, 0))),
% 54.23/34.44 inference(unit_resolution,[status(thm)],[18354, 947, 18296])).
% 54.23/34.44 tff(18356,plain,
% 54.23/34.44 (v90(constB100, 0) | (~v90(constB101, 0))),
% 54.23/34.44 inference(unit_resolution,[status(thm)],[18355, 18308])).
% 54.23/34.44 tff(18357,plain,
% 54.23/34.44 (~v90(constB101, 0)),
% 54.23/34.44 inference(unit_resolution,[status(thm)],[18356, 18260])).
% 54.23/34.44 tff(18358,plain,
% 54.23/34.44 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB101, 0) | (~v90(constB101, 1)) | v90(constB101, 2) | v121(constB101))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB101, 0) | (~v90(constB101, 1)) | v90(constB101, 2) | v121(constB101))),
% 54.23/34.44 inference(rewrite,[status(thm)],[])).
% 54.23/34.44 tff(18359,plain,
% 54.23/34.44 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB101, 0) | (~v90(constB101, 1)) | v90(constB101, 2) | v121(constB101))),
% 54.23/34.44 inference(quant_inst,[status(thm)],[])).
% 54.23/34.44 tff(18360,plain,
% 54.23/34.44 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB101, 0) | (~v90(constB101, 1)) | v90(constB101, 2) | v121(constB101)),
% 54.23/34.44 inference(modus_ponens,[status(thm)],[18359, 18358])).
% 54.23/34.44 tff(18361,plain,
% 54.23/34.44 (v121(constB101)),
% 54.23/34.44 inference(unit_resolution,[status(thm)],[18360, 1731, 18357, 18348, 18317])).
% 54.23/34.44 tff(18362,plain,
% 54.23/34.44 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB101)) | v130(constB101, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB101)) | v130(constB101, 1))),
% 54.23/34.44 inference(rewrite,[status(thm)],[])).
% 54.23/34.44 tff(18363,plain,
% 54.23/34.44 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB101)) | v130(constB101, 1))),
% 54.23/34.44 inference(quant_inst,[status(thm)],[])).
% 54.23/34.44 tff(18364,plain,
% 54.23/34.44 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB101)) | v130(constB101, 1)),
% 54.23/34.44 inference(modus_ponens,[status(thm)],[18363, 18362])).
% 54.23/34.44 tff(18365,plain,
% 54.23/34.44 (v130(constB101, 1)),
% 54.23/34.44 inference(unit_resolution,[status(thm)],[18364, 1877, 18361])).
% 54.23/34.44 tff(18366,assumption,(v26(constB101)), introduced(assumption)).
% 54.23/34.44 tff(18367,plain,
% 54.23/34.44 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB101))),
% 54.23/34.44 inference(quant_inst,[status(thm)],[])).
% 54.23/34.44 tff(18368,plain,
% 54.23/34.44 ($false),
% 54.23/34.44 inference(unit_resolution,[status(thm)],[18367, 828, 18366])).
% 54.23/34.44 tff(18369,plain,(~v26(constB101)), inference(lemma,lemma(discharge,[]))).
% 54.23/34.44 tff(18370,plain,
% 54.23/34.44 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB101) | (~v130(constB101, 1)) | v127(constB101, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB101) | (~v130(constB101, 1)) | v127(constB101, 1))),
% 54.23/34.44 inference(rewrite,[status(thm)],[])).
% 54.23/34.44 tff(18371,plain,
% 54.23/34.44 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB101) | (~v130(constB101, 1)) | v127(constB101, 1))),
% 54.23/34.44 inference(quant_inst,[status(thm)],[])).
% 54.23/34.44 tff(18372,plain,
% 54.23/34.44 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB101) | (~v130(constB101, 1)) | v127(constB101, 1)),
% 54.23/34.44 inference(modus_ponens,[status(thm)],[18371, 18370])).
% 54.23/34.44 tff(18373,plain,
% 54.23/34.44 ((~v130(constB101, 1)) | v127(constB101, 1)),
% 54.23/34.44 inference(unit_resolution,[status(thm)],[18372, 1593, 18369])).
% 54.23/34.44 tff(18374,plain,
% 54.23/34.44 (v127(constB101, 1)),
% 54.23/34.44 inference(unit_resolution,[status(thm)],[18373, 18365])).
% 54.23/34.44 tff(18375,plain,
% 54.23/34.44 (nextState(constB101, constB102) <=> nextState(constB101, constB102)),
% 54.23/34.44 inference(rewrite,[status(thm)],[])).
% 54.23/34.44 tff(18376,axiom,(nextState(constB101, constB102)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_101_1')).
% 54.23/34.44 tff(18377,plain,
% 54.23/34.44 (nextState(constB101, constB102)),
% 54.23/34.44 inference(modus_ponens,[status(thm)],[18376, 18375])).
% 54.23/34.44 tff(18378,plain,
% 54.23/34.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB101, constB102)) | (~v127(constB101, 1)) | v129(constB102, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB101, constB102)) | (~v127(constB101, 1)) | v129(constB102, 1))),
% 54.23/34.44 inference(rewrite,[status(thm)],[])).
% 54.23/34.44 tff(18379,plain,
% 54.23/34.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB101, constB102)) | (~v127(constB101, 1)) | v129(constB102, 1))),
% 54.23/34.44 inference(quant_inst,[status(thm)],[])).
% 54.23/34.44 tff(18380,plain,
% 54.23/34.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB101, constB102)) | (~v127(constB101, 1)) | v129(constB102, 1)),
% 54.23/34.44 inference(modus_ponens,[status(thm)],[18379, 18378])).
% 54.23/34.44 tff(18381,plain,
% 54.23/34.44 ((~v127(constB101, 1)) | v129(constB102, 1)),
% 54.23/34.44 inference(unit_resolution,[status(thm)],[18380, 1608, 18377])).
% 54.23/34.44 tff(18382,plain,
% 54.23/34.44 (v129(constB102, 1)),
% 54.23/34.44 inference(unit_resolution,[status(thm)],[18381, 18374])).
% 54.23/34.44 tff(18383,assumption,(v121(constB101)), introduced(assumption)).
% 54.23/34.44 tff(18384,plain,
% 54.23/34.44 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB101)) | v130(constB101, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB101)) | v130(constB101, 0))),
% 54.23/34.44 inference(rewrite,[status(thm)],[])).
% 54.23/34.44 tff(18385,plain,
% 54.23/34.44 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB101)) | v130(constB101, 0))),
% 54.23/34.44 inference(quant_inst,[status(thm)],[])).
% 54.23/34.44 tff(18386,plain,
% 54.23/34.44 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB101)) | v130(constB101, 0)),
% 54.23/34.44 inference(modus_ponens,[status(thm)],[18385, 18384])).
% 54.23/34.44 tff(18387,plain,
% 54.23/34.44 (v130(constB101, 0)),
% 54.23/34.44 inference(unit_resolution,[status(thm)],[18386, 1915, 18383])).
% 54.23/34.44 tff(18388,plain,
% 54.23/34.44 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB101) | (~v130(constB101, 0)) | v127(constB101, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB101) | (~v130(constB101, 0)) | v127(constB101, 0))),
% 54.23/34.44 inference(rewrite,[status(thm)],[])).
% 54.23/34.44 tff(18389,plain,
% 54.23/34.44 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB101) | (~v130(constB101, 0)) | v127(constB101, 0))),
% 54.23/34.44 inference(quant_inst,[status(thm)],[])).
% 54.23/34.44 tff(18390,plain,
% 54.23/34.44 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB101) | (~v130(constB101, 0)) | v127(constB101, 0)),
% 54.23/34.44 inference(modus_ponens,[status(thm)],[18389, 18388])).
% 54.23/34.44 tff(18391,plain,
% 54.23/34.44 ((~v130(constB101, 0)) | v127(constB101, 0)),
% 54.23/34.44 inference(unit_resolution,[status(thm)],[18390, 1347, 18369])).
% 54.23/34.44 tff(18392,plain,
% 54.23/34.44 (v127(constB101, 0)),
% 54.23/34.44 inference(unit_resolution,[status(thm)],[18391, 18387])).
% 54.23/34.44 tff(18393,plain,
% 54.23/34.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB101, constB102)) | (~v127(constB101, 0)) | v129(constB102, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB101, constB102)) | (~v127(constB101, 0)) | v129(constB102, 0))),
% 54.23/34.44 inference(rewrite,[status(thm)],[])).
% 54.23/34.44 tff(18394,plain,
% 54.23/34.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB101, constB102)) | (~v127(constB101, 0)) | v129(constB102, 0))),
% 54.23/34.44 inference(quant_inst,[status(thm)],[])).
% 54.23/34.44 tff(18395,plain,
% 54.23/34.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB101, constB102)) | (~v127(constB101, 0)) | v129(constB102, 0)),
% 54.23/34.44 inference(modus_ponens,[status(thm)],[18394, 18393])).
% 54.23/34.44 tff(18396,plain,
% 54.23/34.44 ((~v127(constB101, 0)) | v129(constB102, 0)),
% 54.23/34.44 inference(unit_resolution,[status(thm)],[18395, 1362, 18377])).
% 54.23/34.44 tff(18397,plain,
% 54.23/34.44 (v129(constB102, 0)),
% 54.23/34.44 inference(unit_resolution,[status(thm)],[18396, 18392])).
% 54.23/34.44 tff(18398,assumption,(~v90(constB102, 0)), introduced(assumption)).
% 54.23/34.44 tff(18399,plain,
% 54.23/34.44 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB102, 0) | (~v129(constB102, 0)) | (~v100(constB102)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB102, 0) | (~v129(constB102, 0)) | (~v100(constB102)))),
% 54.23/34.44 inference(rewrite,[status(thm)],[])).
% 54.23/34.44 tff(18400,plain,
% 54.23/34.44 ((v90(constB102, 0) | (~v100(constB102)) | (~v129(constB102, 0))) <=> (v90(constB102, 0) | (~v129(constB102, 0)) | (~v100(constB102)))),
% 54.23/34.44 inference(rewrite,[status(thm)],[])).
% 54.23/34.44 tff(18401,plain,
% 54.23/34.44 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB102, 0) | (~v100(constB102)) | (~v129(constB102, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB102, 0) | (~v129(constB102, 0)) | (~v100(constB102))))),
% 54.23/34.44 inference(monotonicity,[status(thm)],[18400])).
% 54.23/34.44 tff(18402,plain,
% 54.23/34.44 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB102, 0) | (~v100(constB102)) | (~v129(constB102, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB102, 0) | (~v129(constB102, 0)) | (~v100(constB102)))),
% 54.23/34.44 inference(transitivity,[status(thm)],[18401, 18399])).
% 54.23/34.44 tff(18403,plain,
% 54.23/34.44 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB102, 0) | (~v100(constB102)) | (~v129(constB102, 0)))),
% 54.23/34.44 inference(quant_inst,[status(thm)],[])).
% 54.23/34.44 tff(18404,plain,
% 54.23/34.44 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB102, 0) | (~v129(constB102, 0)) | (~v100(constB102))),
% 54.23/34.44 inference(modus_ponens,[status(thm)],[18403, 18402])).
% 54.23/34.44 tff(18405,plain,
% 54.23/34.44 ((~v129(constB102, 0)) | (~v100(constB102))),
% 54.23/34.44 inference(unit_resolution,[status(thm)],[18404, 1377, 18398])).
% 54.23/34.44 tff(18406,plain,
% 54.23/34.44 (~v100(constB102)),
% 54.23/34.44 inference(unit_resolution,[status(thm)],[18405, 18397])).
% 54.23/34.44 tff(18407,plain,
% 54.23/34.44 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB101) | (~nextState(constB101, constB102)) | (~v104(constB102)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB101) | (~nextState(constB101, constB102)) | (~v104(constB102)))),
% 54.23/34.44 inference(rewrite,[status(thm)],[])).
% 54.23/34.44 tff(18408,plain,
% 54.23/34.44 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB101) | (~nextState(constB101, constB102)) | (~v104(constB102)))),
% 54.23/34.44 inference(quant_inst,[status(thm)],[])).
% 54.23/34.44 tff(18409,plain,
% 54.23/34.44 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB101) | (~nextState(constB101, constB102)) | (~v104(constB102))),
% 54.23/34.44 inference(modus_ponens,[status(thm)],[18408, 18407])).
% 54.23/34.44 tff(18410,plain,
% 54.23/34.44 (~v104(constB102)),
% 54.23/34.44 inference(unit_resolution,[status(thm)],[18409, 1113, 18377, 18293])).
% 54.23/34.44 tff(18411,plain,
% 54.23/34.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB101, constB102)) | v102(constB102) | v104(constB102))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB101, constB102)) | v102(constB102) | v104(constB102))),
% 54.23/34.44 inference(rewrite,[status(thm)],[])).
% 54.23/34.44 tff(18412,plain,
% 54.23/34.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB101, constB102)) | v102(constB102) | v104(constB102))),
% 54.23/34.44 inference(quant_inst,[status(thm)],[])).
% 54.23/34.44 tff(18413,plain,
% 54.23/34.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB101, constB102)) | v102(constB102) | v104(constB102)),
% 54.23/34.44 inference(modus_ponens,[status(thm)],[18412, 18411])).
% 54.23/34.44 tff(18414,plain,
% 54.23/34.44 (v102(constB102) | v104(constB102)),
% 54.23/34.44 inference(unit_resolution,[status(thm)],[18413, 1127, 18377])).
% 54.23/34.44 tff(18415,plain,
% 54.23/34.44 (v102(constB102)),
% 54.23/34.44 inference(unit_resolution,[status(thm)],[18414, 18410])).
% 54.23/34.44 tff(18416,plain,
% 54.23/34.44 (v1(constB102) <=> v1(constB102)),
% 54.23/34.44 inference(rewrite,[status(thm)],[])).
% 54.23/34.44 tff(18417,axiom,(v1(constB102)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_102_1')).
% 54.23/34.44 tff(18418,plain,
% 54.23/34.44 (v1(constB102)),
% 54.23/34.44 inference(modus_ponens,[status(thm)],[18417, 18416])).
% 54.23/34.44 tff(18419,plain,
% 54.23/34.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB101, constB102)) | v101(constB102) | (~v102(constB102)) | (~v1(constB102)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB101, constB102)) | v101(constB102) | (~v102(constB102)) | (~v1(constB102)))),
% 54.23/34.44 inference(rewrite,[status(thm)],[])).
% 54.23/34.44 tff(18420,plain,
% 54.23/34.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB101, constB102)) | v101(constB102) | (~v102(constB102)) | (~v1(constB102)))),
% 54.23/34.44 inference(quant_inst,[status(thm)],[])).
% 54.23/34.44 tff(18421,plain,
% 54.23/34.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB101, constB102)) | v101(constB102) | (~v102(constB102)) | (~v1(constB102))),
% 54.23/34.44 inference(modus_ponens,[status(thm)],[18420, 18419])).
% 54.23/34.44 tff(18422,plain,
% 54.23/34.44 (v101(constB102) | (~v102(constB102))),
% 54.23/34.44 inference(unit_resolution,[status(thm)],[18421, 1145, 18377, 18418])).
% 54.23/34.44 tff(18423,plain,
% 54.23/34.44 (v101(constB102)),
% 54.23/34.44 inference(unit_resolution,[status(thm)],[18422, 18415])).
% 54.23/34.44 tff(18424,plain,
% 54.23/34.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102)))),
% 54.23/34.44 inference(rewrite,[status(thm)],[])).
% 54.23/34.44 tff(18425,plain,
% 54.23/34.44 (((~nextState(constB101, constB102)) | (~v101(constB102)) | (~v110(constB102)) | v100(constB102)) <=> ((~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102)))),
% 54.23/34.44 inference(rewrite,[status(thm)],[])).
% 54.23/34.44 tff(18426,plain,
% 54.23/34.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB101, constB102)) | (~v101(constB102)) | (~v110(constB102)) | v100(constB102))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102))))),
% 54.23/34.44 inference(monotonicity,[status(thm)],[18425])).
% 54.23/34.44 tff(18427,plain,
% 54.23/34.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB101, constB102)) | (~v101(constB102)) | (~v110(constB102)) | v100(constB102))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102)))),
% 54.23/34.44 inference(transitivity,[status(thm)],[18426, 18424])).
% 54.23/34.44 tff(18428,plain,
% 54.23/34.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB101, constB102)) | (~v101(constB102)) | (~v110(constB102)) | v100(constB102))),
% 54.23/34.44 inference(quant_inst,[status(thm)],[])).
% 54.23/34.44 tff(18429,plain,
% 54.23/34.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB101, constB102)) | v100(constB102) | (~v101(constB102)) | (~v110(constB102))),
% 54.23/34.44 inference(modus_ponens,[status(thm)],[18428, 18427])).
% 54.23/34.44 tff(18430,plain,
% 54.23/34.44 (v100(constB102) | (~v101(constB102)) | (~v110(constB102))),
% 54.23/34.44 inference(unit_resolution,[status(thm)],[18429, 1160, 18377])).
% 54.23/34.44 tff(18431,plain,
% 54.23/34.44 (v100(constB102) | (~v110(constB102))),
% 54.23/34.44 inference(unit_resolution,[status(thm)],[18430, 18423])).
% 54.23/34.44 tff(18432,plain,
% 54.23/34.44 (~v110(constB102)),
% 54.23/34.44 inference(unit_resolution,[status(thm)],[18431, 18406])).
% 54.23/34.44 tff(18433,plain,
% 54.23/34.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101)))),
% 54.23/34.44 inference(rewrite,[status(thm)],[])).
% 54.23/34.44 tff(18434,plain,
% 54.23/34.44 (((~nextState(constB101, constB102)) | (~v108(constB101)) | v110(constB102)) <=> ((~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101)))),
% 54.23/34.44 inference(rewrite,[status(thm)],[])).
% 54.23/34.44 tff(18435,plain,
% 54.23/34.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB101, constB102)) | (~v108(constB101)) | v110(constB102))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101))))),
% 54.23/34.44 inference(monotonicity,[status(thm)],[18434])).
% 54.23/34.44 tff(18436,plain,
% 54.23/34.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB101, constB102)) | (~v108(constB101)) | v110(constB102))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101)))),
% 54.23/34.44 inference(transitivity,[status(thm)],[18435, 18433])).
% 54.23/34.44 tff(18437,plain,
% 54.23/34.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB101, constB102)) | (~v108(constB101)) | v110(constB102))),
% 54.23/34.44 inference(quant_inst,[status(thm)],[])).
% 54.23/34.44 tff(18438,plain,
% 54.23/34.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB101, constB102)) | v110(constB102) | (~v108(constB101))),
% 54.23/34.44 inference(modus_ponens,[status(thm)],[18437, 18436])).
% 54.23/34.44 tff(18439,plain,
% 54.23/34.44 (v110(constB102) | (~v108(constB101))),
% 54.23/34.44 inference(unit_resolution,[status(thm)],[18438, 1095, 18377])).
% 54.23/34.44 tff(18440,plain,
% 54.23/34.44 (~v108(constB101)),
% 54.23/34.44 inference(unit_resolution,[status(thm)],[18439, 18432])).
% 54.23/34.44 tff(18441,plain,
% 54.23/34.44 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB101) | (~v112(constB101)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB101) | (~v112(constB101)))),
% 54.23/34.44 inference(rewrite,[status(thm)],[])).
% 54.23/34.44 tff(18442,plain,
% 54.23/34.44 (((~v112(constB101)) | v108(constB101)) <=> (v108(constB101) | (~v112(constB101)))),
% 54.23/34.44 inference(rewrite,[status(thm)],[])).
% 54.23/34.44 tff(18443,plain,
% 54.23/34.44 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB101)) | v108(constB101))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB101) | (~v112(constB101))))),
% 54.23/34.44 inference(monotonicity,[status(thm)],[18442])).
% 54.23/34.44 tff(18444,plain,
% 54.23/34.44 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB101)) | v108(constB101))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB101) | (~v112(constB101)))),
% 54.23/34.44 inference(transitivity,[status(thm)],[18443, 18441])).
% 54.23/34.44 tff(18445,plain,
% 54.23/34.44 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB101)) | v108(constB101))),
% 54.23/34.44 inference(quant_inst,[status(thm)],[])).
% 54.23/34.44 tff(18446,plain,
% 54.23/34.44 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB101) | (~v112(constB101))),
% 54.23/34.45 inference(modus_ponens,[status(thm)],[18445, 18444])).
% 54.23/34.45 tff(18447,plain,
% 54.23/34.45 (~v112(constB101)),
% 54.23/34.45 inference(unit_resolution,[status(thm)],[18446, 1075, 18440])).
% 54.23/34.45 tff(18448,plain,
% 54.23/34.45 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB101) | (~v113(constB101)) | v112(constB101))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB101) | (~v113(constB101)) | v112(constB101))),
% 54.23/34.45 inference(rewrite,[status(thm)],[])).
% 54.23/34.45 tff(18449,plain,
% 54.23/34.45 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB101) | (~v113(constB101)) | v112(constB101))),
% 54.23/34.45 inference(quant_inst,[status(thm)],[])).
% 54.23/34.45 tff(18450,plain,
% 54.23/34.45 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB101) | (~v113(constB101)) | v112(constB101)),
% 54.23/34.45 inference(modus_ponens,[status(thm)],[18449, 18448])).
% 54.23/34.45 tff(18451,plain,
% 54.23/34.45 ((~v113(constB101)) | v112(constB101)),
% 54.23/34.45 inference(unit_resolution,[status(thm)],[18450, 1063, 18369])).
% 54.23/34.45 tff(18452,plain,
% 54.23/34.45 (~v113(constB101)),
% 54.23/34.45 inference(unit_resolution,[status(thm)],[18451, 18447])).
% 54.23/34.45 tff(18453,plain,
% 54.23/34.45 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB101)) | v113(constB101))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB101)) | v113(constB101))),
% 54.23/34.45 inference(rewrite,[status(thm)],[])).
% 54.23/34.45 tff(18454,plain,
% 54.23/34.45 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB101)) | v113(constB101))),
% 54.23/34.45 inference(quant_inst,[status(thm)],[])).
% 54.23/34.45 tff(18455,plain,
% 54.23/34.45 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB101)) | v113(constB101)),
% 54.23/34.45 inference(modus_ponens,[status(thm)],[18454, 18453])).
% 54.23/34.45 tff(18456,plain,
% 54.23/34.45 (~v114(constB101)),
% 54.23/34.45 inference(unit_resolution,[status(thm)],[18455, 1049, 18452])).
% 54.23/34.45 tff(18457,plain,
% 54.23/34.45 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB101) | (~v121(constB101)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB101) | (~v121(constB101)))),
% 54.23/34.45 inference(rewrite,[status(thm)],[])).
% 54.23/34.45 tff(18458,plain,
% 54.23/34.45 (((~v121(constB101)) | v117(constB101)) <=> (v117(constB101) | (~v121(constB101)))),
% 54.23/34.45 inference(rewrite,[status(thm)],[])).
% 54.23/34.45 tff(18459,plain,
% 54.23/34.45 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB101)) | v117(constB101))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB101) | (~v121(constB101))))),
% 54.23/34.45 inference(monotonicity,[status(thm)],[18458])).
% 54.23/34.45 tff(18460,plain,
% 54.23/34.45 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB101)) | v117(constB101))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB101) | (~v121(constB101)))),
% 54.23/34.45 inference(transitivity,[status(thm)],[18459, 18457])).
% 54.23/34.45 tff(18461,plain,
% 54.23/34.45 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB101)) | v117(constB101))),
% 54.23/34.45 inference(quant_inst,[status(thm)],[])).
% 54.23/34.45 tff(18462,plain,
% 54.23/34.45 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB101) | (~v121(constB101))),
% 54.23/34.45 inference(modus_ponens,[status(thm)],[18461, 18460])).
% 54.23/34.45 tff(18463,plain,
% 54.23/34.45 (v117(constB101)),
% 54.23/34.45 inference(unit_resolution,[status(thm)],[18462, 1742, 18383])).
% 54.23/34.45 tff(18464,plain,
% 54.23/34.45 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB101) | (~v117(constB101)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB101) | (~v117(constB101)))),
% 54.23/34.45 inference(rewrite,[status(thm)],[])).
% 54.23/34.45 tff(18465,plain,
% 54.23/34.45 (((~v117(constB101)) | v116(constB101)) <=> (v116(constB101) | (~v117(constB101)))),
% 54.23/34.45 inference(rewrite,[status(thm)],[])).
% 54.23/34.45 tff(18466,plain,
% 54.23/34.45 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB101)) | v116(constB101))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB101) | (~v117(constB101))))),
% 54.23/34.45 inference(monotonicity,[status(thm)],[18465])).
% 54.23/34.45 tff(18467,plain,
% 54.23/34.45 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB101)) | v116(constB101))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB101) | (~v117(constB101)))),
% 54.23/34.45 inference(transitivity,[status(thm)],[18466, 18464])).
% 54.23/34.45 tff(18468,plain,
% 54.23/34.45 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB101)) | v116(constB101))),
% 54.23/34.45 inference(quant_inst,[status(thm)],[])).
% 54.23/34.45 tff(18469,plain,
% 54.23/34.45 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB101) | (~v117(constB101))),
% 54.23/34.45 inference(modus_ponens,[status(thm)],[18468, 18467])).
% 54.23/34.45 tff(18470,plain,
% 54.23/34.45 (v116(constB101)),
% 54.23/34.45 inference(unit_resolution,[status(thm)],[18469, 1007, 18463])).
% 54.23/34.45 tff(18471,plain,
% 54.23/34.45 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB101) | (~v116(constB101)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB101) | (~v116(constB101)))),
% 54.23/34.45 inference(rewrite,[status(thm)],[])).
% 54.23/34.45 tff(18472,plain,
% 54.23/34.45 (((~v116(constB101)) | v115(constB101)) <=> (v115(constB101) | (~v116(constB101)))),
% 54.23/34.45 inference(rewrite,[status(thm)],[])).
% 54.23/34.45 tff(18473,plain,
% 54.23/34.45 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB101)) | v115(constB101))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB101) | (~v116(constB101))))),
% 54.23/34.45 inference(monotonicity,[status(thm)],[18472])).
% 54.23/34.45 tff(18474,plain,
% 54.23/34.45 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB101)) | v115(constB101))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB101) | (~v116(constB101)))),
% 54.23/34.45 inference(transitivity,[status(thm)],[18473, 18471])).
% 54.23/34.45 tff(18475,plain,
% 54.23/34.45 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB101)) | v115(constB101))),
% 54.23/34.45 inference(quant_inst,[status(thm)],[])).
% 54.23/34.45 tff(18476,plain,
% 54.23/34.45 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB101) | (~v116(constB101))),
% 54.23/34.45 inference(modus_ponens,[status(thm)],[18475, 18474])).
% 54.23/34.45 tff(18477,plain,
% 54.23/34.45 (v115(constB101)),
% 54.23/34.45 inference(unit_resolution,[status(thm)],[18476, 1021, 18470])).
% 54.23/34.45 tff(18478,plain,
% 54.23/34.45 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB101) | (~v115(constB101)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB101) | (~v115(constB101)))),
% 54.23/34.45 inference(rewrite,[status(thm)],[])).
% 54.23/34.45 tff(18479,plain,
% 54.23/34.45 (((~v115(constB101)) | v114(constB101)) <=> (v114(constB101) | (~v115(constB101)))),
% 54.23/34.45 inference(rewrite,[status(thm)],[])).
% 54.23/34.45 tff(18480,plain,
% 54.23/34.45 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB101)) | v114(constB101))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB101) | (~v115(constB101))))),
% 54.23/34.45 inference(monotonicity,[status(thm)],[18479])).
% 54.23/34.45 tff(18481,plain,
% 54.23/34.45 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB101)) | v114(constB101))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB101) | (~v115(constB101)))),
% 54.23/34.45 inference(transitivity,[status(thm)],[18480, 18478])).
% 54.23/34.45 tff(18482,plain,
% 54.23/34.45 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB101)) | v114(constB101))),
% 54.23/34.45 inference(quant_inst,[status(thm)],[])).
% 54.23/34.45 tff(18483,plain,
% 54.23/34.45 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB101) | (~v115(constB101))),
% 54.23/34.45 inference(modus_ponens,[status(thm)],[18482, 18481])).
% 54.23/34.45 tff(18484,plain,
% 54.23/34.45 ($false),
% 54.23/34.45 inference(unit_resolution,[status(thm)],[18483, 1035, 18477, 18456])).
% 54.23/34.45 tff(18485,plain,((~v121(constB101)) | v90(constB102, 0)), inference(lemma,lemma(discharge,[]))).
% 54.23/34.45 tff(18486,plain,
% 54.23/34.45 (v90(constB102, 0)),
% 54.23/34.45 inference(unit_resolution,[status(thm)],[18485, 18361])).
% 54.23/34.45 tff(18487,plain,
% 54.23/34.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB101, 0) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB101, 0) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, 0)))),
% 54.23/34.45 inference(rewrite,[status(thm)],[])).
% 54.23/34.45 tff(18488,plain,
% 54.23/34.45 (((~nextState(constB101, constB102)) | v90(constB101, 0) | v100(constB102) | (~v90(constB102, 0))) <=> (v90(constB101, 0) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, 0)))),
% 54.23/34.45 inference(rewrite,[status(thm)],[])).
% 54.23/34.45 tff(18489,plain,
% 54.23/34.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB101, constB102)) | v90(constB101, 0) | v100(constB102) | (~v90(constB102, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB101, 0) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, 0))))),
% 54.23/34.45 inference(monotonicity,[status(thm)],[18488])).
% 54.23/34.45 tff(18490,plain,
% 54.23/34.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB101, constB102)) | v90(constB101, 0) | v100(constB102) | (~v90(constB102, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB101, 0) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, 0)))),
% 54.23/34.45 inference(transitivity,[status(thm)],[18489, 18487])).
% 54.23/34.45 tff(18491,plain,
% 54.23/34.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB101, constB102)) | v90(constB101, 0) | v100(constB102) | (~v90(constB102, 0)))),
% 54.23/34.45 inference(quant_inst,[status(thm)],[])).
% 54.23/34.45 tff(18492,plain,
% 54.23/34.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB101, 0) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, 0))),
% 54.23/34.45 inference(modus_ponens,[status(thm)],[18491, 18490])).
% 54.23/34.45 tff(18493,plain,
% 54.23/34.45 (v90(constB101, 0) | v100(constB102) | (~v90(constB102, 0))),
% 54.23/34.45 inference(unit_resolution,[status(thm)],[18492, 947, 18377])).
% 54.23/34.45 tff(18494,plain,
% 54.23/34.45 (v100(constB102)),
% 54.23/34.45 inference(unit_resolution,[status(thm)],[18493, 18486, 18357])).
% 54.23/34.45 tff(18495,plain,
% 54.23/34.45 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB102, 1) | (~v129(constB102, 1)) | (~v100(constB102)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB102, 1) | (~v129(constB102, 1)) | (~v100(constB102)))),
% 54.23/34.45 inference(rewrite,[status(thm)],[])).
% 54.23/34.45 tff(18496,plain,
% 54.23/34.45 ((v90(constB102, 1) | (~v100(constB102)) | (~v129(constB102, 1))) <=> (v90(constB102, 1) | (~v129(constB102, 1)) | (~v100(constB102)))),
% 54.23/34.45 inference(rewrite,[status(thm)],[])).
% 54.23/34.45 tff(18497,plain,
% 54.23/34.45 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB102, 1) | (~v100(constB102)) | (~v129(constB102, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB102, 1) | (~v129(constB102, 1)) | (~v100(constB102))))),
% 54.23/34.45 inference(monotonicity,[status(thm)],[18496])).
% 54.23/34.45 tff(18498,plain,
% 54.23/34.45 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB102, 1) | (~v100(constB102)) | (~v129(constB102, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB102, 1) | (~v129(constB102, 1)) | (~v100(constB102)))),
% 54.23/34.45 inference(transitivity,[status(thm)],[18497, 18495])).
% 54.23/34.45 tff(18499,plain,
% 54.23/34.45 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB102, 1) | (~v100(constB102)) | (~v129(constB102, 1)))),
% 54.23/34.45 inference(quant_inst,[status(thm)],[])).
% 54.23/34.45 tff(18500,plain,
% 54.23/34.45 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB102, 1) | (~v129(constB102, 1)) | (~v100(constB102))),
% 54.23/34.45 inference(modus_ponens,[status(thm)],[18499, 18498])).
% 54.23/34.45 tff(18501,plain,
% 54.23/34.45 (v90(constB102, 1) | (~v129(constB102, 1))),
% 54.23/34.45 inference(unit_resolution,[status(thm)],[18500, 1623, 18494])).
% 54.23/34.45 tff(18502,plain,
% 54.23/34.45 (v90(constB102, 1)),
% 54.23/34.45 inference(unit_resolution,[status(thm)],[18501, 18382])).
% 54.23/34.45 tff(18503,plain,
% 54.23/34.45 ((~v1(constB103)) <=> (~v1(constB103))),
% 54.23/34.45 inference(rewrite,[status(thm)],[])).
% 54.23/34.45 tff(18504,axiom,(~v1(constB103)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_103_1_1')).
% 54.23/34.45 tff(18505,plain,
% 54.23/34.45 (~v1(constB103)),
% 54.23/34.45 inference(modus_ponens,[status(thm)],[18504, 18503])).
% 54.23/34.45 tff(18506,plain,
% 54.23/34.45 (nextState(constB102, constB103) <=> nextState(constB102, constB103)),
% 54.23/34.45 inference(rewrite,[status(thm)],[])).
% 54.23/34.45 tff(18507,axiom,(nextState(constB102, constB103)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_102_1')).
% 54.23/34.45 tff(18508,plain,
% 54.23/34.45 (nextState(constB102, constB103)),
% 54.23/34.45 inference(modus_ponens,[status(thm)],[18507, 18506])).
% 54.23/34.45 tff(18509,plain,
% 54.23/34.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103)))),
% 54.23/34.45 inference(rewrite,[status(thm)],[])).
% 54.23/34.45 tff(18510,plain,
% 54.23/34.45 (((~nextState(constB102, constB103)) | (~v101(constB103)) | v1(constB103)) <=> (v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103)))),
% 54.23/34.45 inference(rewrite,[status(thm)],[])).
% 54.23/34.45 tff(18511,plain,
% 54.23/34.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB102, constB103)) | (~v101(constB103)) | v1(constB103))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103))))),
% 54.23/34.45 inference(monotonicity,[status(thm)],[18510])).
% 54.23/34.45 tff(18512,plain,
% 54.23/34.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB102, constB103)) | (~v101(constB103)) | v1(constB103))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103)))),
% 54.23/34.45 inference(transitivity,[status(thm)],[18511, 18509])).
% 54.23/34.45 tff(18513,plain,
% 54.23/34.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB102, constB103)) | (~v101(constB103)) | v1(constB103))),
% 54.23/34.45 inference(quant_inst,[status(thm)],[])).
% 54.23/34.45 tff(18514,plain,
% 54.23/34.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB103) | (~nextState(constB102, constB103)) | (~v101(constB103))),
% 54.23/34.45 inference(modus_ponens,[status(thm)],[18513, 18512])).
% 54.23/34.45 tff(18515,plain,
% 54.23/34.45 (~v101(constB103)),
% 54.23/34.45 inference(unit_resolution,[status(thm)],[18514, 873, 18508, 18505])).
% 54.23/34.45 tff(18516,plain,
% 54.23/34.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB102, constB103)) | v101(constB103) | (~v100(constB103)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB102, constB103)) | v101(constB103) | (~v100(constB103)))),
% 54.23/34.45 inference(rewrite,[status(thm)],[])).
% 54.23/34.45 tff(18517,plain,
% 54.23/34.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB102, constB103)) | v101(constB103) | (~v100(constB103)))),
% 54.23/34.45 inference(quant_inst,[status(thm)],[])).
% 54.23/34.45 tff(18518,plain,
% 54.23/34.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB102, constB103)) | v101(constB103) | (~v100(constB103))),
% 54.23/34.45 inference(modus_ponens,[status(thm)],[18517, 18516])).
% 54.23/34.45 tff(18519,plain,
% 54.23/34.45 (v101(constB103) | (~v100(constB103))),
% 54.23/34.45 inference(unit_resolution,[status(thm)],[18518, 890, 18508])).
% 54.23/34.45 tff(18520,plain,
% 54.23/34.45 (~v100(constB103)),
% 54.23/34.45 inference(unit_resolution,[status(thm)],[18519, 18515])).
% 54.23/34.45 tff(18521,plain,
% 54.23/34.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB102, 1)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB102, 1)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, 1))),
% 54.23/34.45 inference(rewrite,[status(thm)],[])).
% 54.23/34.45 tff(18522,plain,
% 54.23/34.45 (((~nextState(constB102, constB103)) | (~v90(constB102, 1)) | v100(constB103) | v90(constB103, 1)) <=> ((~v90(constB102, 1)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, 1))),
% 54.23/34.45 inference(rewrite,[status(thm)],[])).
% 54.23/34.45 tff(18523,plain,
% 54.23/34.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB102, constB103)) | (~v90(constB102, 1)) | v100(constB103) | v90(constB103, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB102, 1)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, 1)))),
% 54.23/34.45 inference(monotonicity,[status(thm)],[18522])).
% 54.23/34.45 tff(18524,plain,
% 54.23/34.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB102, constB103)) | (~v90(constB102, 1)) | v100(constB103) | v90(constB103, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB102, 1)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, 1))),
% 54.23/34.45 inference(transitivity,[status(thm)],[18523, 18521])).
% 54.23/34.45 tff(18525,plain,
% 54.23/34.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB102, constB103)) | (~v90(constB102, 1)) | v100(constB103) | v90(constB103, 1))),
% 54.23/34.45 inference(quant_inst,[status(thm)],[])).
% 54.23/34.45 tff(18526,plain,
% 54.23/34.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB102, 1)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, 1)),
% 54.23/34.45 inference(modus_ponens,[status(thm)],[18525, 18524])).
% 54.23/34.45 tff(18527,plain,
% 54.23/34.45 ((~v90(constB102, 1)) | v100(constB103) | v90(constB103, 1)),
% 54.23/34.45 inference(unit_resolution,[status(thm)],[18526, 1641, 18508])).
% 54.23/34.45 tff(18528,plain,
% 54.23/34.45 ((~v90(constB102, 1)) | v90(constB103, 1)),
% 54.23/34.45 inference(unit_resolution,[status(thm)],[18527, 18520])).
% 54.23/34.45 tff(18529,plain,
% 54.23/34.45 (v90(constB103, 1)),
% 54.23/34.45 inference(unit_resolution,[status(thm)],[18528, 18502])).
% 54.23/34.45 tff(18530,plain,
% 54.23/34.45 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB101)) | (~v130(constB101, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB101)) | (~v130(constB101, 2)))),
% 54.23/34.45 inference(rewrite,[status(thm)],[])).
% 54.23/34.45 tff(18531,plain,
% 54.23/34.45 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB101)) | (~v130(constB101, 2)))),
% 54.23/34.45 inference(quant_inst,[status(thm)],[])).
% 54.23/34.45 tff(18532,plain,
% 54.23/34.45 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB101)) | (~v130(constB101, 2))),
% 54.23/34.45 inference(modus_ponens,[status(thm)],[18531, 18530])).
% 54.23/34.45 tff(18533,plain,
% 54.23/34.45 (~v130(constB101, 2)),
% 54.23/34.45 inference(unit_resolution,[status(thm)],[18532, 1821, 18361])).
% 54.23/34.45 tff(18534,plain,
% 54.23/34.45 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB101, 2)) | v26(constB101) | v130(constB101, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB101, 2)) | v26(constB101) | v130(constB101, 2))),
% 54.23/34.45 inference(rewrite,[status(thm)],[])).
% 54.23/34.45 tff(18535,plain,
% 54.23/34.45 ((v26(constB101) | v130(constB101, 2) | (~v127(constB101, 2))) <=> ((~v127(constB101, 2)) | v26(constB101) | v130(constB101, 2))),
% 54.23/34.45 inference(rewrite,[status(thm)],[])).
% 54.23/34.45 tff(18536,plain,
% 54.23/34.45 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB101) | v130(constB101, 2) | (~v127(constB101, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB101, 2)) | v26(constB101) | v130(constB101, 2)))),
% 54.23/34.45 inference(monotonicity,[status(thm)],[18535])).
% 54.23/34.45 tff(18537,plain,
% 54.23/34.45 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB101) | v130(constB101, 2) | (~v127(constB101, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB101, 2)) | v26(constB101) | v130(constB101, 2))),
% 54.23/34.45 inference(transitivity,[status(thm)],[18536, 18534])).
% 54.23/34.45 tff(18538,plain,
% 54.23/34.45 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB101) | v130(constB101, 2) | (~v127(constB101, 2)))),
% 54.23/34.45 inference(quant_inst,[status(thm)],[])).
% 54.23/34.45 tff(18539,plain,
% 54.23/34.45 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB101, 2)) | v26(constB101) | v130(constB101, 2)),
% 54.23/34.45 inference(modus_ponens,[status(thm)],[18538, 18537])).
% 54.23/34.45 tff(18540,plain,
% 54.23/34.45 ((~v127(constB101, 2)) | v130(constB101, 2)),
% 54.23/34.45 inference(unit_resolution,[status(thm)],[18539, 1190, 18369])).
% 54.23/34.45 tff(18541,plain,
% 54.23/34.45 (~v127(constB101, 2)),
% 54.23/34.45 inference(unit_resolution,[status(thm)],[18540, 18533])).
% 54.23/34.45 tff(18542,plain,
% 54.23/34.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB101, constB102)) | v127(constB101, 2) | (~v129(constB102, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB101, constB102)) | v127(constB101, 2) | (~v129(constB102, 2)))),
% 54.23/34.45 inference(rewrite,[status(thm)],[])).
% 54.23/34.45 tff(18543,plain,
% 54.23/34.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB101, constB102)) | v127(constB101, 2) | (~v129(constB102, 2)))),
% 54.23/34.45 inference(quant_inst,[status(thm)],[])).
% 54.23/34.45 tff(18544,plain,
% 54.23/34.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB101, constB102)) | v127(constB101, 2) | (~v129(constB102, 2))),
% 54.23/34.45 inference(modus_ponens,[status(thm)],[18543, 18542])).
% 54.23/34.45 tff(18545,plain,
% 54.23/34.45 (v127(constB101, 2) | (~v129(constB102, 2))),
% 54.23/34.45 inference(unit_resolution,[status(thm)],[18544, 1208, 18377])).
% 54.23/34.45 tff(18546,plain,
% 54.23/34.45 (~v129(constB102, 2)),
% 54.23/34.45 inference(unit_resolution,[status(thm)],[18545, 18541])).
% 54.23/34.45 tff(18547,plain,
% 54.23/34.45 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB102, 2)) | v129(constB102, 2) | (~v100(constB102)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB102, 2)) | v129(constB102, 2) | (~v100(constB102)))),
% 54.23/34.45 inference(rewrite,[status(thm)],[])).
% 54.23/34.45 tff(18548,plain,
% 54.23/34.45 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB102, 2)) | v129(constB102, 2) | (~v100(constB102)))),
% 54.23/34.45 inference(quant_inst,[status(thm)],[])).
% 54.23/34.45 tff(18549,plain,
% 54.23/34.45 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB102, 2)) | v129(constB102, 2) | (~v100(constB102))),
% 54.23/34.45 inference(modus_ponens,[status(thm)],[18548, 18547])).
% 54.23/34.45 tff(18550,plain,
% 54.23/34.45 ((~v90(constB102, 2)) | v129(constB102, 2)),
% 54.23/34.45 inference(unit_resolution,[status(thm)],[18549, 1223, 18494])).
% 54.23/34.45 tff(18551,plain,
% 54.23/34.45 (~v90(constB102, 2)),
% 54.23/34.45 inference(unit_resolution,[status(thm)],[18550, 18546])).
% 54.23/34.45 tff(18552,plain,
% 54.23/34.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB102, 2) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB102, 2) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, 2)))),
% 54.23/34.45 inference(rewrite,[status(thm)],[])).
% 54.23/34.45 tff(18553,plain,
% 54.23/34.45 (((~nextState(constB102, constB103)) | v90(constB102, 2) | v100(constB103) | (~v90(constB103, 2))) <=> (v90(constB102, 2) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, 2)))),
% 54.23/34.45 inference(rewrite,[status(thm)],[])).
% 54.23/34.45 tff(18554,plain,
% 54.23/34.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB102, constB103)) | v90(constB102, 2) | v100(constB103) | (~v90(constB103, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB102, 2) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, 2))))),
% 54.23/34.45 inference(monotonicity,[status(thm)],[18553])).
% 54.23/34.45 tff(18555,plain,
% 54.23/34.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB102, constB103)) | v90(constB102, 2) | v100(constB103) | (~v90(constB103, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB102, 2) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, 2)))),
% 54.23/34.45 inference(transitivity,[status(thm)],[18554, 18552])).
% 54.23/34.45 tff(18556,plain,
% 54.23/34.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB102, constB103)) | v90(constB102, 2) | v100(constB103) | (~v90(constB103, 2)))),
% 54.23/34.45 inference(quant_inst,[status(thm)],[])).
% 54.23/34.45 tff(18557,plain,
% 54.23/34.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB102, 2) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, 2))),
% 54.23/34.45 inference(modus_ponens,[status(thm)],[18556, 18555])).
% 54.23/34.45 tff(18558,plain,
% 54.23/34.45 (v90(constB102, 2) | v100(constB103) | (~v90(constB103, 2))),
% 54.23/34.45 inference(unit_resolution,[status(thm)],[18557, 905, 18508])).
% 54.23/34.45 tff(18559,plain,
% 54.23/34.45 (v90(constB102, 2) | (~v90(constB103, 2))),
% 54.23/34.45 inference(unit_resolution,[status(thm)],[18558, 18520])).
% 54.23/34.45 tff(18560,plain,
% 54.23/34.45 (~v90(constB103, 2)),
% 54.23/34.45 inference(unit_resolution,[status(thm)],[18559, 18551])).
% 54.23/34.45 tff(18561,plain,
% 54.23/34.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB102, 0)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB102, 0)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, 0))),
% 54.23/34.45 inference(rewrite,[status(thm)],[])).
% 54.23/34.45 tff(18562,plain,
% 54.23/34.45 (((~nextState(constB102, constB103)) | (~v90(constB102, 0)) | v100(constB103) | v90(constB103, 0)) <=> ((~v90(constB102, 0)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, 0))),
% 54.23/34.45 inference(rewrite,[status(thm)],[])).
% 54.23/34.45 tff(18563,plain,
% 54.23/34.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB102, constB103)) | (~v90(constB102, 0)) | v100(constB103) | v90(constB103, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB102, 0)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, 0)))),
% 54.23/34.45 inference(monotonicity,[status(thm)],[18562])).
% 54.23/34.45 tff(18564,plain,
% 54.23/34.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB102, constB103)) | (~v90(constB102, 0)) | v100(constB103) | v90(constB103, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB102, 0)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, 0))),
% 54.23/34.45 inference(transitivity,[status(thm)],[18563, 18561])).
% 54.23/34.45 tff(18565,plain,
% 54.23/34.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB102, constB103)) | (~v90(constB102, 0)) | v100(constB103) | v90(constB103, 0))),
% 54.23/34.45 inference(quant_inst,[status(thm)],[])).
% 54.23/34.45 tff(18566,plain,
% 54.23/34.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB102, 0)) | (~nextState(constB102, constB103)) | v100(constB103) | v90(constB103, 0)),
% 54.23/34.45 inference(modus_ponens,[status(thm)],[18565, 18564])).
% 54.23/34.45 tff(18567,plain,
% 54.23/34.45 ((~v90(constB102, 0)) | v100(constB103) | v90(constB103, 0)),
% 54.23/34.45 inference(unit_resolution,[status(thm)],[18566, 1395, 18508])).
% 54.23/34.45 tff(18568,plain,
% 54.23/34.45 ((~v90(constB102, 0)) | v90(constB103, 0)),
% 54.23/34.45 inference(unit_resolution,[status(thm)],[18567, 18520])).
% 54.23/34.45 tff(18569,plain,
% 54.23/34.45 (v90(constB103, 0)),
% 54.23/34.45 inference(unit_resolution,[status(thm)],[18568, 18486])).
% 54.23/34.45 tff(18570,plain,
% 54.23/34.45 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB103, 0)) | (~v90(constB103, 1)) | v90(constB103, 2) | v122(constB103))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB103, 0)) | (~v90(constB103, 1)) | v90(constB103, 2) | v122(constB103))),
% 54.23/34.45 inference(rewrite,[status(thm)],[])).
% 54.23/34.45 tff(18571,plain,
% 54.23/34.45 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB103, 0)) | (~v90(constB103, 1)) | v90(constB103, 2) | v122(constB103))),
% 54.23/34.45 inference(quant_inst,[status(thm)],[])).
% 54.23/34.45 tff(18572,plain,
% 54.23/34.45 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB103, 0)) | (~v90(constB103, 1)) | v90(constB103, 2) | v122(constB103)),
% 54.23/34.45 inference(modus_ponens,[status(thm)],[18571, 18570])).
% 54.23/34.45 tff(18573,plain,
% 54.23/34.45 ((~v90(constB103, 1)) | v90(constB103, 2) | v122(constB103)),
% 54.23/34.45 inference(unit_resolution,[status(thm)],[18572, 1956, 18569])).
% 54.23/34.45 tff(18574,plain,
% 54.23/34.45 (v122(constB103)),
% 54.23/34.45 inference(unit_resolution,[status(thm)],[18573, 18560, 18529])).
% 54.23/34.45 tff(18575,plain,
% 54.23/34.45 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB103)) | (~v130(constB103, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB103)) | (~v130(constB103, 1)))),
% 54.23/34.45 inference(rewrite,[status(thm)],[])).
% 54.23/34.45 tff(18576,plain,
% 54.23/34.45 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB103)) | (~v130(constB103, 1)))),
% 54.23/34.45 inference(quant_inst,[status(thm)],[])).
% 54.23/34.45 tff(18577,plain,
% 54.23/34.45 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB103)) | (~v130(constB103, 1))),
% 54.23/34.45 inference(modus_ponens,[status(thm)],[18576, 18575])).
% 54.23/34.45 tff(18578,plain,
% 54.23/34.45 (~v130(constB103, 1)),
% 54.23/34.45 inference(unit_resolution,[status(thm)],[18577, 2366, 18574])).
% 54.23/34.45 tff(18579,assumption,(v26(constB103)), introduced(assumption)).
% 54.23/34.45 tff(18580,plain,
% 54.23/34.45 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB103))),
% 54.23/34.45 inference(quant_inst,[status(thm)],[])).
% 54.23/34.45 tff(18581,plain,
% 54.23/34.45 ($false),
% 54.23/34.45 inference(unit_resolution,[status(thm)],[18580, 828, 18579])).
% 54.23/34.45 tff(18582,plain,(~v26(constB103)), inference(lemma,lemma(discharge,[]))).
% 54.23/34.45 tff(18583,plain,
% 54.23/34.45 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB103, 1)) | v26(constB103) | v130(constB103, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB103, 1)) | v26(constB103) | v130(constB103, 1))),
% 54.23/34.45 inference(rewrite,[status(thm)],[])).
% 54.23/34.45 tff(18584,plain,
% 54.23/34.45 ((v26(constB103) | v130(constB103, 1) | (~v127(constB103, 1))) <=> ((~v127(constB103, 1)) | v26(constB103) | v130(constB103, 1))),
% 54.23/34.45 inference(rewrite,[status(thm)],[])).
% 54.23/34.45 tff(18585,plain,
% 54.23/34.45 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB103) | v130(constB103, 1) | (~v127(constB103, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB103, 1)) | v26(constB103) | v130(constB103, 1)))),
% 54.23/34.45 inference(monotonicity,[status(thm)],[18584])).
% 54.23/34.45 tff(18586,plain,
% 54.23/34.45 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB103) | v130(constB103, 1) | (~v127(constB103, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB103, 1)) | v26(constB103) | v130(constB103, 1))),
% 54.23/34.45 inference(transitivity,[status(thm)],[18585, 18583])).
% 54.23/34.45 tff(18587,plain,
% 54.23/34.45 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB103) | v130(constB103, 1) | (~v127(constB103, 1)))),
% 54.23/34.45 inference(quant_inst,[status(thm)],[])).
% 54.23/34.45 tff(18588,plain,
% 54.23/34.45 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB103, 1)) | v26(constB103) | v130(constB103, 1)),
% 54.23/34.45 inference(modus_ponens,[status(thm)],[18587, 18586])).
% 54.23/34.45 tff(18589,plain,
% 54.23/34.45 ((~v127(constB103, 1)) | v130(constB103, 1)),
% 54.23/34.45 inference(unit_resolution,[status(thm)],[18588, 1276, 18582])).
% 54.23/34.45 tff(18590,plain,
% 54.23/34.45 (~v127(constB103, 1)),
% 54.23/34.45 inference(unit_resolution,[status(thm)],[18589, 18578])).
% 54.23/34.45 tff(18591,plain,
% 54.23/34.45 (nextState(constB103, constB104) <=> nextState(constB103, constB104)),
% 54.23/34.45 inference(rewrite,[status(thm)],[])).
% 54.23/34.45 tff(18592,axiom,(nextState(constB103, constB104)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_103_1')).
% 54.29/34.45 tff(18593,plain,
% 54.29/34.45 (nextState(constB103, constB104)),
% 54.29/34.45 inference(modus_ponens,[status(thm)],[18592, 18591])).
% 54.29/34.45 tff(18594,plain,
% 54.29/34.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB103, constB104)) | v127(constB103, 1) | (~v129(constB104, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB103, constB104)) | v127(constB103, 1) | (~v129(constB104, 1)))),
% 54.29/34.45 inference(rewrite,[status(thm)],[])).
% 54.29/34.45 tff(18595,plain,
% 54.29/34.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB103, constB104)) | v127(constB103, 1) | (~v129(constB104, 1)))),
% 54.29/34.45 inference(quant_inst,[status(thm)],[])).
% 54.29/34.45 tff(18596,plain,
% 54.29/34.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB103, constB104)) | v127(constB103, 1) | (~v129(constB104, 1))),
% 54.29/34.45 inference(modus_ponens,[status(thm)],[18595, 18594])).
% 54.29/34.45 tff(18597,plain,
% 54.29/34.45 (v127(constB103, 1) | (~v129(constB104, 1))),
% 54.29/34.45 inference(unit_resolution,[status(thm)],[18596, 1294, 18593])).
% 54.29/34.45 tff(18598,plain,
% 54.29/34.45 (~v129(constB104, 1)),
% 54.29/34.45 inference(unit_resolution,[status(thm)],[18597, 18590])).
% 54.29/34.45 tff(18599,assumption,(~v100(constB104)), introduced(assumption)).
% 54.29/34.45 tff(18600,plain,
% 54.29/34.45 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB103) | (~nextState(constB103, constB104)) | (~v104(constB104)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB103) | (~nextState(constB103, constB104)) | (~v104(constB104)))),
% 54.29/34.45 inference(rewrite,[status(thm)],[])).
% 54.29/34.45 tff(18601,plain,
% 54.29/34.45 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB103) | (~nextState(constB103, constB104)) | (~v104(constB104)))),
% 54.29/34.45 inference(quant_inst,[status(thm)],[])).
% 54.29/34.45 tff(18602,plain,
% 54.29/34.45 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB103) | (~nextState(constB103, constB104)) | (~v104(constB104))),
% 54.29/34.45 inference(modus_ponens,[status(thm)],[18601, 18600])).
% 54.29/34.45 tff(18603,plain,
% 54.29/34.45 (~v104(constB104)),
% 54.29/34.45 inference(unit_resolution,[status(thm)],[18602, 1113, 18593, 18505])).
% 54.29/34.45 tff(18604,plain,
% 54.29/34.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB103, constB104)) | v102(constB104) | v104(constB104))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB103, constB104)) | v102(constB104) | v104(constB104))),
% 54.29/34.45 inference(rewrite,[status(thm)],[])).
% 54.29/34.45 tff(18605,plain,
% 54.29/34.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB103, constB104)) | v102(constB104) | v104(constB104))),
% 54.29/34.45 inference(quant_inst,[status(thm)],[])).
% 54.29/34.45 tff(18606,plain,
% 54.29/34.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB103, constB104)) | v102(constB104) | v104(constB104)),
% 54.29/34.45 inference(modus_ponens,[status(thm)],[18605, 18604])).
% 54.29/34.45 tff(18607,plain,
% 54.29/34.45 (v102(constB104) | v104(constB104)),
% 54.29/34.45 inference(unit_resolution,[status(thm)],[18606, 1127, 18593])).
% 54.29/34.45 tff(18608,plain,
% 54.29/34.45 (v102(constB104)),
% 54.29/34.45 inference(unit_resolution,[status(thm)],[18607, 18603])).
% 54.29/34.45 tff(18609,plain,
% 54.29/34.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB103, constB104)) | v101(constB104) | (~v102(constB104)) | (~v1(constB104)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB103, constB104)) | v101(constB104) | (~v102(constB104)) | (~v1(constB104)))),
% 54.29/34.45 inference(rewrite,[status(thm)],[])).
% 54.29/34.45 tff(18610,plain,
% 54.29/34.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB103, constB104)) | v101(constB104) | (~v102(constB104)) | (~v1(constB104)))),
% 54.29/34.45 inference(quant_inst,[status(thm)],[])).
% 54.29/34.45 tff(18611,plain,
% 54.29/34.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB103, constB104)) | v101(constB104) | (~v102(constB104)) | (~v1(constB104))),
% 54.29/34.45 inference(modus_ponens,[status(thm)],[18610, 18609])).
% 54.29/34.45 tff(18612,plain,
% 54.29/34.45 (v101(constB104) | (~v102(constB104))),
% 54.29/34.45 inference(unit_resolution,[status(thm)],[18611, 1145, 18593, 376])).
% 54.29/34.45 tff(18613,plain,
% 54.29/34.45 (v101(constB104)),
% 54.29/34.45 inference(unit_resolution,[status(thm)],[18612, 18608])).
% 54.29/34.45 tff(18614,plain,
% 54.29/34.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104)))),
% 54.29/34.45 inference(rewrite,[status(thm)],[])).
% 54.29/34.45 tff(18615,plain,
% 54.29/34.45 (((~nextState(constB103, constB104)) | (~v101(constB104)) | (~v110(constB104)) | v100(constB104)) <=> ((~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104)))),
% 54.29/34.45 inference(rewrite,[status(thm)],[])).
% 54.29/34.45 tff(18616,plain,
% 54.29/34.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB103, constB104)) | (~v101(constB104)) | (~v110(constB104)) | v100(constB104))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104))))),
% 54.29/34.45 inference(monotonicity,[status(thm)],[18615])).
% 54.29/34.45 tff(18617,plain,
% 54.29/34.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB103, constB104)) | (~v101(constB104)) | (~v110(constB104)) | v100(constB104))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104)))),
% 54.29/34.45 inference(transitivity,[status(thm)],[18616, 18614])).
% 54.29/34.45 tff(18618,plain,
% 54.29/34.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB103, constB104)) | (~v101(constB104)) | (~v110(constB104)) | v100(constB104))),
% 54.29/34.45 inference(quant_inst,[status(thm)],[])).
% 54.29/34.45 tff(18619,plain,
% 54.29/34.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB103, constB104)) | v100(constB104) | (~v101(constB104)) | (~v110(constB104))),
% 54.29/34.45 inference(modus_ponens,[status(thm)],[18618, 18617])).
% 54.29/34.45 tff(18620,plain,
% 54.29/34.45 (v100(constB104) | (~v101(constB104)) | (~v110(constB104))),
% 54.29/34.45 inference(unit_resolution,[status(thm)],[18619, 1160, 18593])).
% 54.29/34.45 tff(18621,plain,
% 54.29/34.45 (v100(constB104) | (~v110(constB104))),
% 54.29/34.45 inference(unit_resolution,[status(thm)],[18620, 18613])).
% 54.29/34.45 tff(18622,plain,
% 54.29/34.45 (~v110(constB104)),
% 54.29/34.45 inference(unit_resolution,[status(thm)],[18621, 18599])).
% 54.29/34.45 tff(18623,plain,
% 54.29/34.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103)))),
% 54.29/34.45 inference(rewrite,[status(thm)],[])).
% 54.29/34.45 tff(18624,plain,
% 54.29/34.45 (((~nextState(constB103, constB104)) | (~v108(constB103)) | v110(constB104)) <=> ((~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103)))),
% 54.29/34.45 inference(rewrite,[status(thm)],[])).
% 54.29/34.45 tff(18625,plain,
% 54.29/34.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB103, constB104)) | (~v108(constB103)) | v110(constB104))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103))))),
% 54.29/34.46 inference(monotonicity,[status(thm)],[18624])).
% 54.29/34.46 tff(18626,plain,
% 54.29/34.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB103, constB104)) | (~v108(constB103)) | v110(constB104))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103)))),
% 54.29/34.46 inference(transitivity,[status(thm)],[18625, 18623])).
% 54.29/34.46 tff(18627,plain,
% 54.29/34.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB103, constB104)) | (~v108(constB103)) | v110(constB104))),
% 54.29/34.46 inference(quant_inst,[status(thm)],[])).
% 54.29/34.46 tff(18628,plain,
% 54.29/34.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB103, constB104)) | v110(constB104) | (~v108(constB103))),
% 54.29/34.46 inference(modus_ponens,[status(thm)],[18627, 18626])).
% 54.29/34.46 tff(18629,plain,
% 54.29/34.46 (v110(constB104) | (~v108(constB103))),
% 54.29/34.46 inference(unit_resolution,[status(thm)],[18628, 1095, 18593])).
% 54.29/34.46 tff(18630,plain,
% 54.29/34.46 (~v108(constB103)),
% 54.29/34.46 inference(unit_resolution,[status(thm)],[18629, 18622])).
% 54.29/34.46 tff(18631,plain,
% 54.29/34.46 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB103) | (~v112(constB103)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB103) | (~v112(constB103)))),
% 54.29/34.46 inference(rewrite,[status(thm)],[])).
% 54.29/34.46 tff(18632,plain,
% 54.29/34.46 (((~v112(constB103)) | v108(constB103)) <=> (v108(constB103) | (~v112(constB103)))),
% 54.29/34.46 inference(rewrite,[status(thm)],[])).
% 54.29/34.46 tff(18633,plain,
% 54.29/34.46 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB103)) | v108(constB103))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB103) | (~v112(constB103))))),
% 54.29/34.46 inference(monotonicity,[status(thm)],[18632])).
% 54.29/34.46 tff(18634,plain,
% 54.29/34.46 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB103)) | v108(constB103))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB103) | (~v112(constB103)))),
% 54.29/34.46 inference(transitivity,[status(thm)],[18633, 18631])).
% 54.29/34.46 tff(18635,plain,
% 54.29/34.46 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB103)) | v108(constB103))),
% 54.29/34.46 inference(quant_inst,[status(thm)],[])).
% 54.29/34.46 tff(18636,plain,
% 54.29/34.46 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB103) | (~v112(constB103))),
% 54.29/34.46 inference(modus_ponens,[status(thm)],[18635, 18634])).
% 54.29/34.46 tff(18637,plain,
% 54.29/34.46 (~v112(constB103)),
% 54.29/34.46 inference(unit_resolution,[status(thm)],[18636, 1075, 18630])).
% 54.29/34.46 tff(18638,plain,
% 54.29/34.46 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB103) | v112(constB103) | (~v113(constB103)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB103) | v112(constB103) | (~v113(constB103)))),
% 54.29/34.46 inference(rewrite,[status(thm)],[])).
% 54.29/34.46 tff(18639,plain,
% 54.29/34.46 ((v26(constB103) | (~v113(constB103)) | v112(constB103)) <=> (v26(constB103) | v112(constB103) | (~v113(constB103)))),
% 54.29/34.46 inference(rewrite,[status(thm)],[])).
% 54.29/34.46 tff(18640,plain,
% 54.29/34.46 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB103) | (~v113(constB103)) | v112(constB103))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB103) | v112(constB103) | (~v113(constB103))))),
% 54.29/34.46 inference(monotonicity,[status(thm)],[18639])).
% 54.29/34.46 tff(18641,plain,
% 54.29/34.46 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB103) | (~v113(constB103)) | v112(constB103))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB103) | v112(constB103) | (~v113(constB103)))),
% 54.29/34.46 inference(transitivity,[status(thm)],[18640, 18638])).
% 54.29/34.46 tff(18642,plain,
% 54.29/34.46 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB103) | (~v113(constB103)) | v112(constB103))),
% 54.29/34.46 inference(quant_inst,[status(thm)],[])).
% 54.29/34.46 tff(18643,plain,
% 54.29/34.46 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB103) | v112(constB103) | (~v113(constB103))),
% 54.29/34.46 inference(modus_ponens,[status(thm)],[18642, 18641])).
% 54.29/34.46 tff(18644,plain,
% 54.29/34.46 (v112(constB103) | (~v113(constB103))),
% 54.29/34.46 inference(unit_resolution,[status(thm)],[18643, 1063, 18582])).
% 54.29/34.46 tff(18645,plain,
% 54.29/34.46 (~v113(constB103)),
% 54.29/34.46 inference(unit_resolution,[status(thm)],[18644, 18637])).
% 54.29/34.46 tff(18646,plain,
% 54.29/34.46 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB103)) | v113(constB103))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB103)) | v113(constB103))),
% 54.29/34.46 inference(rewrite,[status(thm)],[])).
% 54.29/34.46 tff(18647,plain,
% 54.29/34.46 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB103)) | v113(constB103))),
% 54.29/34.46 inference(quant_inst,[status(thm)],[])).
% 54.29/34.46 tff(18648,plain,
% 54.29/34.46 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB103)) | v113(constB103)),
% 54.29/34.46 inference(modus_ponens,[status(thm)],[18647, 18646])).
% 54.29/34.46 tff(18649,plain,
% 54.29/34.46 (~v114(constB103)),
% 54.29/34.46 inference(unit_resolution,[status(thm)],[18648, 1049, 18645])).
% 54.29/34.46 tff(18650,plain,
% 54.29/34.46 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB103)) | v114(constB103))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB103)) | v114(constB103))),
% 54.29/34.46 inference(rewrite,[status(thm)],[])).
% 54.29/34.46 tff(18651,plain,
% 54.29/34.46 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB103)) | v114(constB103))),
% 54.29/34.46 inference(quant_inst,[status(thm)],[])).
% 54.29/34.46 tff(18652,plain,
% 54.29/34.46 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB103)) | v114(constB103)),
% 54.29/34.46 inference(modus_ponens,[status(thm)],[18651, 18650])).
% 54.29/34.46 tff(18653,plain,
% 54.29/34.46 (~v115(constB103)),
% 54.29/34.46 inference(unit_resolution,[status(thm)],[18652, 1035, 18649])).
% 54.29/34.46 tff(18654,plain,
% 54.29/34.46 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB103) | (~v116(constB103)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB103) | (~v116(constB103)))),
% 54.29/34.46 inference(rewrite,[status(thm)],[])).
% 54.29/34.46 tff(18655,plain,
% 54.29/34.46 (((~v116(constB103)) | v115(constB103)) <=> (v115(constB103) | (~v116(constB103)))),
% 54.29/34.46 inference(rewrite,[status(thm)],[])).
% 54.29/34.46 tff(18656,plain,
% 54.29/34.46 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB103)) | v115(constB103))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB103) | (~v116(constB103))))),
% 54.29/34.46 inference(monotonicity,[status(thm)],[18655])).
% 54.29/34.46 tff(18657,plain,
% 54.29/34.46 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB103)) | v115(constB103))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB103) | (~v116(constB103)))),
% 54.29/34.46 inference(transitivity,[status(thm)],[18656, 18654])).
% 54.29/34.46 tff(18658,plain,
% 54.29/34.46 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB103)) | v115(constB103))),
% 54.29/34.46 inference(quant_inst,[status(thm)],[])).
% 54.29/34.46 tff(18659,plain,
% 54.29/34.46 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB103) | (~v116(constB103))),
% 54.29/34.46 inference(modus_ponens,[status(thm)],[18658, 18657])).
% 54.29/34.46 tff(18660,plain,
% 54.29/34.46 (~v116(constB103)),
% 54.29/34.46 inference(unit_resolution,[status(thm)],[18659, 1021, 18653])).
% 54.29/34.46 tff(18661,plain,
% 54.29/34.46 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB103)) | v116(constB103))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB103)) | v116(constB103))),
% 54.29/34.46 inference(rewrite,[status(thm)],[])).
% 54.29/34.46 tff(18662,plain,
% 54.29/34.46 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB103)) | v116(constB103))),
% 54.29/34.46 inference(quant_inst,[status(thm)],[])).
% 54.29/34.46 tff(18663,plain,
% 54.29/34.46 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB103)) | v116(constB103)),
% 54.29/34.46 inference(modus_ponens,[status(thm)],[18662, 18661])).
% 54.29/34.46 tff(18664,plain,
% 54.29/34.46 (~v122(constB103)),
% 54.29/34.46 inference(unit_resolution,[status(thm)],[18663, 2120, 18660])).
% 54.29/34.46 tff(18665,plain,
% 54.29/34.46 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB103) | (~v117(constB103)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB103) | (~v117(constB103)))),
% 54.29/34.46 inference(rewrite,[status(thm)],[])).
% 54.29/34.46 tff(18666,plain,
% 54.29/34.46 (((~v117(constB103)) | v116(constB103)) <=> (v116(constB103) | (~v117(constB103)))),
% 54.29/34.46 inference(rewrite,[status(thm)],[])).
% 54.29/34.46 tff(18667,plain,
% 54.29/34.46 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB103)) | v116(constB103))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB103) | (~v117(constB103))))),
% 54.29/34.46 inference(monotonicity,[status(thm)],[18666])).
% 54.29/34.46 tff(18668,plain,
% 54.29/34.46 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB103)) | v116(constB103))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB103) | (~v117(constB103)))),
% 54.29/34.46 inference(transitivity,[status(thm)],[18667, 18665])).
% 54.29/34.46 tff(18669,plain,
% 54.29/34.46 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB103)) | v116(constB103))),
% 54.29/34.46 inference(quant_inst,[status(thm)],[])).
% 54.29/34.46 tff(18670,plain,
% 54.29/34.46 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB103) | (~v117(constB103))),
% 54.29/34.46 inference(modus_ponens,[status(thm)],[18669, 18668])).
% 54.29/34.46 tff(18671,plain,
% 54.29/34.46 (~v117(constB103)),
% 54.29/34.46 inference(unit_resolution,[status(thm)],[18670, 1007, 18660])).
% 54.29/34.46 tff(18672,plain,
% 54.29/34.46 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB103) | (~v121(constB103)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB103) | (~v121(constB103)))),
% 54.29/34.46 inference(rewrite,[status(thm)],[])).
% 54.29/34.46 tff(18673,plain,
% 54.29/34.46 (((~v121(constB103)) | v117(constB103)) <=> (v117(constB103) | (~v121(constB103)))),
% 54.29/34.46 inference(rewrite,[status(thm)],[])).
% 54.29/34.46 tff(18674,plain,
% 54.29/34.46 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB103)) | v117(constB103))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB103) | (~v121(constB103))))),
% 54.29/34.46 inference(monotonicity,[status(thm)],[18673])).
% 54.29/34.46 tff(18675,plain,
% 54.29/34.46 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB103)) | v117(constB103))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB103) | (~v121(constB103)))),
% 54.29/34.46 inference(transitivity,[status(thm)],[18674, 18672])).
% 54.29/34.46 tff(18676,plain,
% 54.29/34.46 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB103)) | v117(constB103))),
% 54.29/34.46 inference(quant_inst,[status(thm)],[])).
% 54.29/34.46 tff(18677,plain,
% 54.29/34.46 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB103) | (~v121(constB103))),
% 54.29/34.46 inference(modus_ponens,[status(thm)],[18676, 18675])).
% 54.29/34.46 tff(18678,plain,
% 54.29/34.46 (~v121(constB103)),
% 54.29/34.46 inference(unit_resolution,[status(thm)],[18677, 1742, 18671])).
% 54.29/34.46 tff(18679,assumption,(~v90(constB104, 2)), introduced(assumption)).
% 54.29/34.46 tff(18680,plain,
% 54.29/34.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB103, 2)) | (~nextState(constB103, constB104)) | v100(constB104) | v90(constB104, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB103, 2)) | (~nextState(constB103, constB104)) | v100(constB104) | v90(constB104, 2))),
% 54.29/34.46 inference(rewrite,[status(thm)],[])).
% 54.29/34.46 tff(18681,plain,
% 54.29/34.46 (((~nextState(constB103, constB104)) | (~v90(constB103, 2)) | v100(constB104) | v90(constB104, 2)) <=> ((~v90(constB103, 2)) | (~nextState(constB103, constB104)) | v100(constB104) | v90(constB104, 2))),
% 54.29/34.46 inference(rewrite,[status(thm)],[])).
% 54.29/34.46 tff(18682,plain,
% 54.29/34.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB103, constB104)) | (~v90(constB103, 2)) | v100(constB104) | v90(constB104, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB103, 2)) | (~nextState(constB103, constB104)) | v100(constB104) | v90(constB104, 2)))),
% 54.29/34.46 inference(monotonicity,[status(thm)],[18681])).
% 54.29/34.46 tff(18683,plain,
% 54.29/34.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB103, constB104)) | (~v90(constB103, 2)) | v100(constB104) | v90(constB104, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB103, 2)) | (~nextState(constB103, constB104)) | v100(constB104) | v90(constB104, 2))),
% 54.29/34.46 inference(transitivity,[status(thm)],[18682, 18680])).
% 54.29/34.46 tff(18684,plain,
% 54.29/34.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB103, constB104)) | (~v90(constB103, 2)) | v100(constB104) | v90(constB104, 2))),
% 54.29/34.46 inference(quant_inst,[status(thm)],[])).
% 54.29/34.46 tff(18685,plain,
% 54.29/34.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB103, 2)) | (~nextState(constB103, constB104)) | v100(constB104) | v90(constB104, 2)),
% 54.29/34.46 inference(modus_ponens,[status(thm)],[18684, 18683])).
% 54.29/34.46 tff(18686,plain,
% 54.29/34.46 ((~v90(constB103, 2)) | v100(constB104) | v90(constB104, 2)),
% 54.29/34.46 inference(unit_resolution,[status(thm)],[18685, 2174, 18593])).
% 54.29/34.46 tff(18687,plain,
% 54.29/34.46 (~v90(constB103, 2)),
% 54.29/34.46 inference(unit_resolution,[status(thm)],[18686, 18599, 18679])).
% 54.29/34.46 tff(18688,plain,
% 54.29/34.46 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB103) | (~v118(constB103)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB103) | (~v118(constB103)))),
% 54.30/34.46 inference(rewrite,[status(thm)],[])).
% 54.30/34.46 tff(18689,plain,
% 54.30/34.46 (((~v118(constB103)) | v117(constB103)) <=> (v117(constB103) | (~v118(constB103)))),
% 54.30/34.46 inference(rewrite,[status(thm)],[])).
% 54.30/34.46 tff(18690,plain,
% 54.30/34.46 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB103)) | v117(constB103))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB103) | (~v118(constB103))))),
% 54.30/34.46 inference(monotonicity,[status(thm)],[18689])).
% 54.30/34.46 tff(18691,plain,
% 54.30/34.46 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB103)) | v117(constB103))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB103) | (~v118(constB103)))),
% 54.30/34.46 inference(transitivity,[status(thm)],[18690, 18688])).
% 54.30/34.46 tff(18692,plain,
% 54.30/34.46 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB103)) | v117(constB103))),
% 54.30/34.46 inference(quant_inst,[status(thm)],[])).
% 54.30/34.46 tff(18693,plain,
% 54.30/34.46 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB103) | (~v118(constB103))),
% 54.30/34.46 inference(modus_ponens,[status(thm)],[18692, 18691])).
% 54.30/34.46 tff(18694,plain,
% 54.30/34.46 (~v118(constB103)),
% 54.30/34.46 inference(unit_resolution,[status(thm)],[18693, 993, 18671])).
% 54.30/34.46 tff(18695,plain,
% 54.30/34.46 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB103)) | v118(constB103))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB103)) | v118(constB103))),
% 54.30/34.46 inference(rewrite,[status(thm)],[])).
% 54.30/34.46 tff(18696,plain,
% 54.30/34.46 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB103)) | v118(constB103))),
% 54.30/34.46 inference(quant_inst,[status(thm)],[])).
% 54.30/34.46 tff(18697,plain,
% 54.30/34.46 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB103)) | v118(constB103)),
% 54.30/34.46 inference(modus_ponens,[status(thm)],[18696, 18695])).
% 54.30/34.46 tff(18698,plain,
% 54.30/34.46 (~v120(constB103)),
% 54.30/34.46 inference(unit_resolution,[status(thm)],[18697, 1425, 18694])).
% 54.30/34.46 tff(18699,plain,
% 54.30/34.46 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB103)) | v118(constB103))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB103)) | v118(constB103))),
% 54.30/34.46 inference(rewrite,[status(thm)],[])).
% 54.30/34.46 tff(18700,plain,
% 54.30/34.46 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB103)) | v118(constB103))),
% 54.30/34.46 inference(quant_inst,[status(thm)],[])).
% 54.30/34.46 tff(18701,plain,
% 54.30/34.46 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB103)) | v118(constB103)),
% 54.30/34.46 inference(modus_ponens,[status(thm)],[18700, 18699])).
% 54.30/34.46 tff(18702,plain,
% 54.30/34.46 (~v119(constB103)),
% 54.30/34.46 inference(unit_resolution,[status(thm)],[18701, 982, 18694])).
% 54.30/34.46 tff(18703,assumption,(~v90(constB103, 2)), introduced(assumption)).
% 54.30/34.46 tff(18704,assumption,(~v120(constB103)), introduced(assumption)).
% 54.30/34.46 tff(18705,assumption,(~v119(constB103)), introduced(assumption)).
% 54.30/34.46 tff(18706,assumption,(~v90(constB103, 1)), introduced(assumption)).
% 54.30/34.46 tff(18707,plain,
% 54.30/34.46 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB103, 0)) | v90(constB103, 1) | v90(constB103, 2) | v120(constB103))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB103, 0)) | v90(constB103, 1) | v90(constB103, 2) | v120(constB103))),
% 54.30/34.46 inference(rewrite,[status(thm)],[])).
% 54.30/34.46 tff(18708,plain,
% 54.30/34.46 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB103, 0)) | v90(constB103, 1) | v90(constB103, 2) | v120(constB103))),
% 54.30/34.46 inference(quant_inst,[status(thm)],[])).
% 54.30/34.46 tff(18709,plain,
% 54.30/34.46 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB103, 0)) | v90(constB103, 1) | v90(constB103, 2) | v120(constB103)),
% 54.30/34.46 inference(modus_ponens,[status(thm)],[18708, 18707])).
% 54.30/34.46 tff(18710,plain,
% 54.30/34.46 ((~v90(constB103, 0)) | v90(constB103, 1) | v90(constB103, 2)),
% 54.30/34.46 inference(unit_resolution,[status(thm)],[18709, 1414, 18704])).
% 54.30/34.46 tff(18711,plain,
% 54.30/34.46 (~v90(constB103, 0)),
% 54.30/34.46 inference(unit_resolution,[status(thm)],[18710, 18706, 18703])).
% 54.30/34.46 tff(18712,plain,
% 54.30/34.46 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB103, 0) | v90(constB103, 1) | v90(constB103, 2) | v119(constB103))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB103, 0) | v90(constB103, 1) | v90(constB103, 2) | v119(constB103))),
% 54.30/34.46 inference(rewrite,[status(thm)],[])).
% 54.30/34.46 tff(18713,plain,
% 54.30/34.46 ((v90(constB103, 0) | v119(constB103) | v90(constB103, 1) | v90(constB103, 2)) <=> (v90(constB103, 0) | v90(constB103, 1) | v90(constB103, 2) | v119(constB103))),
% 54.30/34.46 inference(rewrite,[status(thm)],[])).
% 54.30/34.46 tff(18714,plain,
% 54.30/34.46 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB103, 0) | v119(constB103) | v90(constB103, 1) | v90(constB103, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB103, 0) | v90(constB103, 1) | v90(constB103, 2) | v119(constB103)))),
% 54.30/34.46 inference(monotonicity,[status(thm)],[18713])).
% 54.30/34.46 tff(18715,plain,
% 54.30/34.46 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB103, 0) | v119(constB103) | v90(constB103, 1) | v90(constB103, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB103, 0) | v90(constB103, 1) | v90(constB103, 2) | v119(constB103))),
% 54.30/34.46 inference(transitivity,[status(thm)],[18714, 18712])).
% 54.30/34.46 tff(18716,plain,
% 54.30/34.46 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB103, 0) | v119(constB103) | v90(constB103, 1) | v90(constB103, 2))),
% 54.30/34.46 inference(quant_inst,[status(thm)],[])).
% 54.30/34.46 tff(18717,plain,
% 54.30/34.46 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB103, 0) | v90(constB103, 1) | v90(constB103, 2) | v119(constB103)),
% 54.30/34.46 inference(modus_ponens,[status(thm)],[18716, 18715])).
% 54.30/34.46 tff(18718,plain,
% 54.30/34.46 (v90(constB103, 0) | v90(constB103, 1) | v90(constB103, 2)),
% 54.30/34.46 inference(unit_resolution,[status(thm)],[18717, 968, 18705])).
% 54.30/34.46 tff(18719,plain,
% 54.30/34.46 ($false),
% 54.30/34.46 inference(unit_resolution,[status(thm)],[18718, 18711, 18706, 18703])).
% 54.30/34.46 tff(18720,plain,(v90(constB103, 1) | v90(constB103, 2) | v119(constB103) | v120(constB103)), inference(lemma,lemma(discharge,[]))).
% 54.30/34.46 tff(18721,plain,
% 54.30/34.46 (v90(constB103, 1)),
% 54.30/34.46 inference(unit_resolution,[status(thm)],[18720, 18703, 18705, 18704])).
% 54.30/34.46 tff(18722,assumption,(~v121(constB103)), introduced(assumption)).
% 54.30/34.46 tff(18723,plain,
% 54.30/34.46 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB103, 0) | (~v90(constB103, 1)) | v90(constB103, 2) | v121(constB103))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB103, 0) | (~v90(constB103, 1)) | v90(constB103, 2) | v121(constB103))),
% 54.30/34.46 inference(rewrite,[status(thm)],[])).
% 54.30/34.46 tff(18724,plain,
% 54.30/34.46 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB103, 0) | (~v90(constB103, 1)) | v90(constB103, 2) | v121(constB103))),
% 54.30/34.46 inference(quant_inst,[status(thm)],[])).
% 54.30/34.46 tff(18725,plain,
% 54.30/34.46 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB103, 0) | (~v90(constB103, 1)) | v90(constB103, 2) | v121(constB103)),
% 54.30/34.46 inference(modus_ponens,[status(thm)],[18724, 18723])).
% 54.30/34.46 tff(18726,plain,
% 54.30/34.46 (v90(constB103, 0) | (~v90(constB103, 1)) | v90(constB103, 2)),
% 54.30/34.46 inference(unit_resolution,[status(thm)],[18725, 1731, 18722])).
% 54.30/34.46 tff(18727,plain,
% 54.30/34.46 (v90(constB103, 0)),
% 54.30/34.46 inference(unit_resolution,[status(thm)],[18726, 18721, 18703])).
% 54.30/34.46 tff(18728,assumption,(~v122(constB103)), introduced(assumption)).
% 54.30/34.46 tff(18729,plain,
% 54.30/34.46 ((~v90(constB103, 0)) | (~v90(constB103, 1)) | v90(constB103, 2)),
% 54.30/34.46 inference(unit_resolution,[status(thm)],[18572, 1956, 18728])).
% 54.30/34.46 tff(18730,plain,
% 54.30/34.46 ($false),
% 54.30/34.46 inference(unit_resolution,[status(thm)],[18729, 18727, 18721, 18703])).
% 54.30/34.46 tff(18731,plain,(v90(constB103, 2) | v122(constB103) | v121(constB103) | v119(constB103) | v120(constB103)), inference(lemma,lemma(discharge,[]))).
% 54.30/34.46 tff(18732,plain,
% 54.30/34.46 ($false),
% 54.30/34.46 inference(unit_resolution,[status(thm)],[18731, 18702, 18698, 18687, 18678, 18664])).
% 54.30/34.46 tff(18733,plain,(v100(constB104) | v90(constB104, 2)), inference(lemma,lemma(discharge,[]))).
% 54.30/34.46 tff(18734,plain,
% 54.30/34.46 (v90(constB104, 2)),
% 54.30/34.46 inference(unit_resolution,[status(thm)],[18733, 18599])).
% 54.30/34.46 tff(18735,plain,
% 54.30/34.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB103, 2) | (~nextState(constB103, constB104)) | v100(constB104) | (~v90(constB104, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB103, 2) | (~nextState(constB103, constB104)) | v100(constB104) | (~v90(constB104, 2)))),
% 54.30/34.46 inference(rewrite,[status(thm)],[])).
% 54.30/34.46 tff(18736,plain,
% 54.30/34.46 (((~nextState(constB103, constB104)) | v90(constB103, 2) | v100(constB104) | (~v90(constB104, 2))) <=> (v90(constB103, 2) | (~nextState(constB103, constB104)) | v100(constB104) | (~v90(constB104, 2)))),
% 54.30/34.46 inference(rewrite,[status(thm)],[])).
% 54.30/34.46 tff(18737,plain,
% 54.30/34.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB103, constB104)) | v90(constB103, 2) | v100(constB104) | (~v90(constB104, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB103, 2) | (~nextState(constB103, constB104)) | v100(constB104) | (~v90(constB104, 2))))),
% 54.30/34.46 inference(monotonicity,[status(thm)],[18736])).
% 54.30/34.46 tff(18738,plain,
% 54.30/34.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB103, constB104)) | v90(constB103, 2) | v100(constB104) | (~v90(constB104, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB103, 2) | (~nextState(constB103, constB104)) | v100(constB104) | (~v90(constB104, 2)))),
% 54.30/34.46 inference(transitivity,[status(thm)],[18737, 18735])).
% 54.30/34.46 tff(18739,plain,
% 54.30/34.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB103, constB104)) | v90(constB103, 2) | v100(constB104) | (~v90(constB104, 2)))),
% 54.30/34.46 inference(quant_inst,[status(thm)],[])).
% 54.30/34.46 tff(18740,plain,
% 54.30/34.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB103, 2) | (~nextState(constB103, constB104)) | v100(constB104) | (~v90(constB104, 2))),
% 54.30/34.46 inference(modus_ponens,[status(thm)],[18739, 18738])).
% 54.30/34.46 tff(18741,plain,
% 54.30/34.46 (v90(constB103, 2) | v100(constB104) | (~v90(constB104, 2))),
% 54.30/34.46 inference(unit_resolution,[status(thm)],[18740, 905, 18593])).
% 54.30/34.46 tff(18742,plain,
% 54.30/34.46 (v90(constB103, 2)),
% 54.30/34.46 inference(unit_resolution,[status(thm)],[18741, 18734, 18599])).
% 54.30/34.46 tff(18743,plain,
% 54.30/34.46 (v90(constB102, 2)),
% 54.30/34.46 inference(unit_resolution,[status(thm)],[18559, 18742])).
% 54.30/34.46 tff(18744,plain,
% 54.30/34.46 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB103)) | v113(constB103))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB103)) | v113(constB103))),
% 54.30/34.46 inference(rewrite,[status(thm)],[])).
% 54.30/34.46 tff(18745,plain,
% 54.30/34.46 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB103)) | v113(constB103))),
% 54.30/34.46 inference(quant_inst,[status(thm)],[])).
% 54.30/34.46 tff(18746,plain,
% 54.30/34.46 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB103)) | v113(constB103)),
% 54.30/34.46 inference(modus_ponens,[status(thm)],[18745, 18744])).
% 54.30/34.46 tff(18747,plain,
% 54.30/34.46 (~v125(constB103)),
% 54.30/34.46 inference(unit_resolution,[status(thm)],[18746, 2262, 18645])).
% 54.30/34.46 tff(18748,plain,
% 54.30/34.46 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB103)) | v115(constB103))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB103)) | v115(constB103))),
% 54.30/34.46 inference(rewrite,[status(thm)],[])).
% 54.30/34.46 tff(18749,plain,
% 54.30/34.46 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB103)) | v115(constB103))),
% 54.30/34.46 inference(quant_inst,[status(thm)],[])).
% 54.30/34.46 tff(18750,plain,
% 54.30/34.46 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB103)) | v115(constB103)),
% 54.30/34.46 inference(modus_ponens,[status(thm)],[18749, 18748])).
% 54.30/34.46 tff(18751,plain,
% 54.30/34.46 (~v123(constB103)),
% 54.30/34.46 inference(unit_resolution,[status(thm)],[18750, 2291, 18653])).
% 54.30/34.46 tff(18752,assumption,(~v123(constB103)), introduced(assumption)).
% 54.30/34.46 tff(18753,assumption,(~v90(constB103, 0)), introduced(assumption)).
% 54.30/34.46 tff(18754,assumption,(~v125(constB103)), introduced(assumption)).
% 54.30/34.46 tff(18755,assumption,(v90(constB103, 2)), introduced(assumption)).
% 54.30/34.46 tff(18756,plain,
% 54.30/34.46 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB103, 0) | (~v90(constB103, 1)) | (~v90(constB103, 2)) | v125(constB103))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB103, 0) | (~v90(constB103, 1)) | (~v90(constB103, 2)) | v125(constB103))),
% 54.30/34.46 inference(rewrite,[status(thm)],[])).
% 54.30/34.46 tff(18757,plain,
% 54.30/34.46 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB103, 0) | (~v90(constB103, 1)) | (~v90(constB103, 2)) | v125(constB103))),
% 54.30/34.46 inference(quant_inst,[status(thm)],[])).
% 54.30/34.46 tff(18758,plain,
% 54.30/34.46 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB103, 0) | (~v90(constB103, 1)) | (~v90(constB103, 2)) | v125(constB103)),
% 54.30/34.46 inference(modus_ponens,[status(thm)],[18757, 18756])).
% 54.30/34.46 tff(18759,plain,
% 54.30/34.46 (v90(constB103, 0) | (~v90(constB103, 1)) | v125(constB103)),
% 54.30/34.46 inference(unit_resolution,[status(thm)],[18758, 2279, 18755])).
% 54.30/34.46 tff(18760,plain,
% 54.30/34.46 (~v90(constB103, 1)),
% 54.30/34.46 inference(unit_resolution,[status(thm)],[18759, 18753, 18754])).
% 54.30/34.46 tff(18761,plain,
% 54.30/34.46 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB103, 0) | v90(constB103, 1) | (~v90(constB103, 2)) | v123(constB103))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB103, 0) | v90(constB103, 1) | (~v90(constB103, 2)) | v123(constB103))),
% 54.30/34.46 inference(rewrite,[status(thm)],[])).
% 54.30/34.46 tff(18762,plain,
% 54.30/34.46 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB103, 0) | v90(constB103, 1) | (~v90(constB103, 2)) | v123(constB103))),
% 54.30/34.46 inference(quant_inst,[status(thm)],[])).
% 54.30/34.46 tff(18763,plain,
% 54.30/34.46 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB103, 0) | v90(constB103, 1) | (~v90(constB103, 2)) | v123(constB103)),
% 54.30/34.46 inference(modus_ponens,[status(thm)],[18762, 18761])).
% 54.30/34.46 tff(18764,plain,
% 54.30/34.46 (v90(constB103, 0) | v90(constB103, 1) | v123(constB103)),
% 54.30/34.46 inference(unit_resolution,[status(thm)],[18763, 2308, 18755])).
% 54.30/34.46 tff(18765,plain,
% 54.30/34.46 ($false),
% 54.30/34.46 inference(unit_resolution,[status(thm)],[18764, 18760, 18753, 18752])).
% 54.30/34.46 tff(18766,plain,(v90(constB103, 0) | v123(constB103) | (~v90(constB103, 2)) | v125(constB103)), inference(lemma,lemma(discharge,[]))).
% 54.30/34.46 tff(18767,plain,
% 54.30/34.46 (v90(constB103, 0)),
% 54.30/34.46 inference(unit_resolution,[status(thm)],[18766, 18751, 18742, 18747])).
% 54.30/34.46 tff(18768,plain,
% 54.30/34.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB102, 0) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB102, 0) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, 0)))),
% 54.30/34.46 inference(rewrite,[status(thm)],[])).
% 54.30/34.46 tff(18769,plain,
% 54.30/34.46 (((~nextState(constB102, constB103)) | v90(constB102, 0) | v100(constB103) | (~v90(constB103, 0))) <=> (v90(constB102, 0) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, 0)))),
% 54.30/34.46 inference(rewrite,[status(thm)],[])).
% 54.30/34.46 tff(18770,plain,
% 54.30/34.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB102, constB103)) | v90(constB102, 0) | v100(constB103) | (~v90(constB103, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB102, 0) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, 0))))),
% 54.30/34.46 inference(monotonicity,[status(thm)],[18769])).
% 54.30/34.46 tff(18771,plain,
% 54.30/34.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB102, constB103)) | v90(constB102, 0) | v100(constB103) | (~v90(constB103, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB102, 0) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, 0)))),
% 54.30/34.46 inference(transitivity,[status(thm)],[18770, 18768])).
% 54.30/34.46 tff(18772,plain,
% 54.30/34.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB102, constB103)) | v90(constB102, 0) | v100(constB103) | (~v90(constB103, 0)))),
% 54.30/34.46 inference(quant_inst,[status(thm)],[])).
% 54.30/34.46 tff(18773,plain,
% 54.30/34.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB102, 0) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, 0))),
% 54.30/34.46 inference(modus_ponens,[status(thm)],[18772, 18771])).
% 54.30/34.46 tff(18774,plain,
% 54.30/34.46 (v90(constB102, 0) | v100(constB103) | (~v90(constB103, 0))),
% 54.30/34.46 inference(unit_resolution,[status(thm)],[18773, 947, 18508])).
% 54.30/34.46 tff(18775,plain,
% 54.30/34.46 (v90(constB102, 0) | (~v90(constB103, 0))),
% 54.30/34.46 inference(unit_resolution,[status(thm)],[18774, 18520])).
% 54.30/34.46 tff(18776,plain,
% 54.30/34.46 (v90(constB102, 0)),
% 54.30/34.46 inference(unit_resolution,[status(thm)],[18775, 18767])).
% 54.30/34.46 tff(18777,assumption,(~v90(constB101, 0)), introduced(assumption)).
% 54.30/34.46 tff(18778,plain,
% 54.30/34.46 (v100(constB102)),
% 54.30/34.46 inference(unit_resolution,[status(thm)],[18493, 18776, 18777])).
% 54.30/34.46 tff(18779,plain,
% 54.30/34.46 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB103)) | v114(constB103))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB103)) | v114(constB103))),
% 54.30/34.46 inference(rewrite,[status(thm)],[])).
% 54.30/34.46 tff(18780,plain,
% 54.30/34.46 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB103)) | v114(constB103))),
% 54.30/34.46 inference(quant_inst,[status(thm)],[])).
% 54.30/34.46 tff(18781,plain,
% 54.30/34.46 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB103)) | v114(constB103)),
% 54.30/34.46 inference(modus_ponens,[status(thm)],[18780, 18779])).
% 54.30/34.46 tff(18782,plain,
% 54.30/34.46 (~v124(constB103)),
% 54.30/34.46 inference(unit_resolution,[status(thm)],[18781, 2674, 18649])).
% 54.30/34.46 tff(18783,plain,
% 54.30/34.46 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB103, 0)) | v90(constB103, 1) | (~v90(constB103, 2)) | v124(constB103))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB103, 0)) | v90(constB103, 1) | (~v90(constB103, 2)) | v124(constB103))),
% 54.30/34.46 inference(rewrite,[status(thm)],[])).
% 54.30/34.46 tff(18784,plain,
% 54.30/34.46 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB103, 0)) | v90(constB103, 1) | (~v90(constB103, 2)) | v124(constB103))),
% 54.30/34.46 inference(quant_inst,[status(thm)],[])).
% 54.30/34.46 tff(18785,plain,
% 54.30/34.46 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB103, 0)) | v90(constB103, 1) | (~v90(constB103, 2)) | v124(constB103)),
% 54.30/34.46 inference(modus_ponens,[status(thm)],[18784, 18783])).
% 54.30/34.46 tff(18786,plain,
% 54.30/34.46 ((~v90(constB103, 0)) | v90(constB103, 1) | v124(constB103)),
% 54.30/34.46 inference(unit_resolution,[status(thm)],[18785, 2663, 18742])).
% 54.30/34.46 tff(18787,plain,
% 54.30/34.46 (v90(constB103, 1)),
% 54.30/34.46 inference(unit_resolution,[status(thm)],[18786, 18767, 18782])).
% 54.30/34.46 tff(18788,plain,
% 54.30/34.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB102, 1) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB102, 1) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, 1)))),
% 54.30/34.46 inference(rewrite,[status(thm)],[])).
% 54.30/34.46 tff(18789,plain,
% 54.30/34.46 (((~nextState(constB102, constB103)) | v90(constB102, 1) | v100(constB103) | (~v90(constB103, 1))) <=> (v90(constB102, 1) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, 1)))),
% 54.30/34.46 inference(rewrite,[status(thm)],[])).
% 54.30/34.46 tff(18790,plain,
% 54.30/34.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB102, constB103)) | v90(constB102, 1) | v100(constB103) | (~v90(constB103, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB102, 1) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, 1))))),
% 54.30/34.46 inference(monotonicity,[status(thm)],[18789])).
% 54.30/34.46 tff(18791,plain,
% 54.30/34.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB102, constB103)) | v90(constB102, 1) | v100(constB103) | (~v90(constB103, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB102, 1) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, 1)))),
% 54.30/34.46 inference(transitivity,[status(thm)],[18790, 18788])).
% 54.30/34.46 tff(18792,plain,
% 54.30/34.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB102, constB103)) | v90(constB102, 1) | v100(constB103) | (~v90(constB103, 1)))),
% 54.30/34.46 inference(quant_inst,[status(thm)],[])).
% 54.30/34.46 tff(18793,plain,
% 54.30/34.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB102, 1) | (~nextState(constB102, constB103)) | v100(constB103) | (~v90(constB103, 1))),
% 54.30/34.46 inference(modus_ponens,[status(thm)],[18792, 18791])).
% 54.30/34.46 tff(18794,plain,
% 54.30/34.46 (v90(constB102, 1) | v100(constB103) | (~v90(constB103, 1))),
% 54.30/34.46 inference(unit_resolution,[status(thm)],[18793, 926, 18508])).
% 54.30/34.46 tff(18795,plain,
% 54.30/34.46 (v90(constB102, 1) | (~v90(constB103, 1))),
% 54.30/34.46 inference(unit_resolution,[status(thm)],[18794, 18520])).
% 54.30/34.46 tff(18796,plain,
% 54.30/34.46 (v90(constB102, 1)),
% 54.30/34.46 inference(unit_resolution,[status(thm)],[18795, 18787])).
% 54.30/34.46 tff(18797,assumption,(v100(constB102)), introduced(assumption)).
% 54.30/34.46 tff(18798,assumption,(v90(constB102, 0)), introduced(assumption)).
% 54.30/34.46 tff(18799,plain,
% 54.30/34.46 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB102, 0)) | v129(constB102, 0) | (~v100(constB102)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB102, 0)) | v129(constB102, 0) | (~v100(constB102)))),
% 54.30/34.46 inference(rewrite,[status(thm)],[])).
% 54.30/34.46 tff(18800,plain,
% 54.30/34.46 (((~v90(constB102, 0)) | (~v100(constB102)) | v129(constB102, 0)) <=> ((~v90(constB102, 0)) | v129(constB102, 0) | (~v100(constB102)))),
% 54.30/34.46 inference(rewrite,[status(thm)],[])).
% 54.30/34.46 tff(18801,plain,
% 54.30/34.46 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB102, 0)) | (~v100(constB102)) | v129(constB102, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB102, 0)) | v129(constB102, 0) | (~v100(constB102))))),
% 54.30/34.46 inference(monotonicity,[status(thm)],[18800])).
% 54.30/34.46 tff(18802,plain,
% 54.30/34.46 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB102, 0)) | (~v100(constB102)) | v129(constB102, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB102, 0)) | v129(constB102, 0) | (~v100(constB102)))),
% 54.30/34.46 inference(transitivity,[status(thm)],[18801, 18799])).
% 54.30/34.46 tff(18803,plain,
% 54.30/34.46 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB102, 0)) | (~v100(constB102)) | v129(constB102, 0))),
% 54.30/34.46 inference(quant_inst,[status(thm)],[])).
% 54.30/34.46 tff(18804,plain,
% 54.30/34.46 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB102, 0)) | v129(constB102, 0) | (~v100(constB102))),
% 54.30/34.46 inference(modus_ponens,[status(thm)],[18803, 18802])).
% 54.30/34.46 tff(18805,plain,
% 54.30/34.46 (v129(constB102, 0) | (~v100(constB102))),
% 54.30/34.46 inference(unit_resolution,[status(thm)],[18804, 1704, 18798])).
% 54.30/34.46 tff(18806,plain,
% 54.30/34.46 (v129(constB102, 0)),
% 54.30/34.46 inference(unit_resolution,[status(thm)],[18805, 18797])).
% 54.30/34.46 tff(18807,plain,
% 54.30/34.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB101, constB102)) | v127(constB101, 0) | (~v129(constB102, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB101, constB102)) | v127(constB101, 0) | (~v129(constB102, 0)))),
% 54.30/34.46 inference(rewrite,[status(thm)],[])).
% 54.30/34.46 tff(18808,plain,
% 54.30/34.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB101, constB102)) | v127(constB101, 0) | (~v129(constB102, 0)))),
% 54.30/34.46 inference(quant_inst,[status(thm)],[])).
% 54.30/34.46 tff(18809,plain,
% 54.30/34.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB101, constB102)) | v127(constB101, 0) | (~v129(constB102, 0))),
% 54.30/34.46 inference(modus_ponens,[status(thm)],[18808, 18807])).
% 54.30/34.46 tff(18810,plain,
% 54.30/34.46 (v127(constB101, 0) | (~v129(constB102, 0))),
% 54.30/34.46 inference(unit_resolution,[status(thm)],[18809, 1689, 18377])).
% 54.30/34.46 tff(18811,plain,
% 54.30/34.46 (v127(constB101, 0)),
% 54.30/34.46 inference(unit_resolution,[status(thm)],[18810, 18806])).
% 54.30/34.46 tff(18812,plain,
% 54.30/34.46 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB101, 0)) | v26(constB101) | v130(constB101, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB101, 0)) | v26(constB101) | v130(constB101, 0))),
% 54.30/34.46 inference(rewrite,[status(thm)],[])).
% 54.30/34.46 tff(18813,plain,
% 54.30/34.46 ((v26(constB101) | v130(constB101, 0) | (~v127(constB101, 0))) <=> ((~v127(constB101, 0)) | v26(constB101) | v130(constB101, 0))),
% 54.30/34.46 inference(rewrite,[status(thm)],[])).
% 54.30/34.46 tff(18814,plain,
% 54.30/34.46 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB101) | v130(constB101, 0) | (~v127(constB101, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB101, 0)) | v26(constB101) | v130(constB101, 0)))),
% 54.30/34.46 inference(monotonicity,[status(thm)],[18813])).
% 54.30/34.46 tff(18815,plain,
% 54.30/34.46 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB101) | v130(constB101, 0) | (~v127(constB101, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB101, 0)) | v26(constB101) | v130(constB101, 0))),
% 54.30/34.46 inference(transitivity,[status(thm)],[18814, 18812])).
% 54.30/34.46 tff(18816,plain,
% 54.30/34.46 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB101) | v130(constB101, 0) | (~v127(constB101, 0)))),
% 54.30/34.46 inference(quant_inst,[status(thm)],[])).
% 54.30/34.46 tff(18817,plain,
% 54.30/34.46 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB101, 0)) | v26(constB101) | v130(constB101, 0)),
% 54.30/34.46 inference(modus_ponens,[status(thm)],[18816, 18815])).
% 54.30/34.46 tff(18818,plain,
% 54.30/34.46 ((~v127(constB101, 0)) | v130(constB101, 0)),
% 54.30/34.46 inference(unit_resolution,[status(thm)],[18817, 1671, 18369])).
% 54.30/34.46 tff(18819,plain,
% 54.30/34.46 (v130(constB101, 0)),
% 54.30/34.46 inference(unit_resolution,[status(thm)],[18818, 18811])).
% 54.30/34.46 tff(18820,plain,
% 54.30/34.46 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB101)) | (~v130(constB101, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB101)) | (~v130(constB101, 0)))),
% 54.30/34.46 inference(rewrite,[status(thm)],[])).
% 54.30/34.46 tff(18821,plain,
% 54.30/34.46 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB101)) | (~v130(constB101, 0)))),
% 54.30/34.46 inference(quant_inst,[status(thm)],[])).
% 54.30/34.46 tff(18822,plain,
% 54.30/34.46 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB101)) | (~v130(constB101, 0))),
% 54.30/34.46 inference(modus_ponens,[status(thm)],[18821, 18820])).
% 54.30/34.46 tff(18823,plain,
% 54.30/34.46 (~v124(constB101)),
% 54.30/34.46 inference(unit_resolution,[status(thm)],[18822, 3274, 18819])).
% 54.30/34.47 tff(18824,plain,
% 54.30/34.47 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB101)) | (~v130(constB101, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB101)) | (~v130(constB101, 0)))),
% 54.30/34.47 inference(rewrite,[status(thm)],[])).
% 54.30/34.47 tff(18825,plain,
% 54.30/34.47 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB101)) | (~v130(constB101, 0)))),
% 54.30/34.47 inference(quant_inst,[status(thm)],[])).
% 54.30/34.47 tff(18826,plain,
% 54.30/34.47 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB101)) | (~v130(constB101, 0))),
% 54.30/34.47 inference(modus_ponens,[status(thm)],[18825, 18824])).
% 54.30/34.47 tff(18827,plain,
% 54.30/34.47 (~v122(constB101)),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18826, 2407, 18819])).
% 54.30/34.47 tff(18828,assumption,(v90(constB102, 2)), introduced(assumption)).
% 54.30/34.47 tff(18829,plain,
% 54.30/34.47 (v129(constB102, 2) | (~v100(constB102))),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18549, 1223, 18828])).
% 54.30/34.47 tff(18830,plain,
% 54.30/34.47 (v129(constB102, 2)),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18829, 18797])).
% 54.30/34.47 tff(18831,plain,
% 54.30/34.47 (v127(constB101, 2)),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18545, 18830])).
% 54.30/34.47 tff(18832,plain,
% 54.30/34.47 (v130(constB101, 2)),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18540, 18831])).
% 54.30/34.47 tff(18833,plain,
% 54.30/34.47 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB101)) | (~v130(constB101, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB101)) | (~v130(constB101, 2)))),
% 54.30/34.47 inference(rewrite,[status(thm)],[])).
% 54.30/34.47 tff(18834,plain,
% 54.30/34.47 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB101)) | (~v130(constB101, 2)))),
% 54.30/34.47 inference(quant_inst,[status(thm)],[])).
% 54.30/34.47 tff(18835,plain,
% 54.30/34.47 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB101)) | (~v130(constB101, 2))),
% 54.30/34.47 inference(modus_ponens,[status(thm)],[18834, 18833])).
% 54.30/34.47 tff(18836,plain,
% 54.30/34.47 (~v120(constB101)),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18835, 1523, 18832])).
% 54.30/34.47 tff(18837,plain,
% 54.30/34.47 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB101)) | (~v130(constB101, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB101)) | (~v130(constB101, 2)))),
% 54.30/34.47 inference(rewrite,[status(thm)],[])).
% 54.30/34.47 tff(18838,plain,
% 54.30/34.47 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB101)) | (~v130(constB101, 2)))),
% 54.30/34.47 inference(quant_inst,[status(thm)],[])).
% 54.30/34.47 tff(18839,plain,
% 54.30/34.47 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB101)) | (~v130(constB101, 2))),
% 54.30/34.47 inference(modus_ponens,[status(thm)],[18838, 18837])).
% 54.30/34.47 tff(18840,plain,
% 54.30/34.47 (~v119(constB101)),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18839, 1176, 18832])).
% 54.30/34.47 tff(18841,plain,
% 54.30/34.47 (~v121(constB101)),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18532, 1821, 18832])).
% 54.30/34.47 tff(18842,assumption,(v90(constB102, 1)), introduced(assumption)).
% 54.30/34.47 tff(18843,plain,
% 54.30/34.47 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB102, 1)) | v129(constB102, 1) | (~v100(constB102)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB102, 1)) | v129(constB102, 1) | (~v100(constB102)))),
% 54.30/34.47 inference(rewrite,[status(thm)],[])).
% 54.30/34.47 tff(18844,plain,
% 54.30/34.47 (((~v90(constB102, 1)) | (~v100(constB102)) | v129(constB102, 1)) <=> ((~v90(constB102, 1)) | v129(constB102, 1) | (~v100(constB102)))),
% 54.30/34.47 inference(rewrite,[status(thm)],[])).
% 54.30/34.47 tff(18845,plain,
% 54.30/34.47 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB102, 1)) | (~v100(constB102)) | v129(constB102, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB102, 1)) | v129(constB102, 1) | (~v100(constB102))))),
% 54.30/34.47 inference(monotonicity,[status(thm)],[18844])).
% 54.30/34.47 tff(18846,plain,
% 54.30/34.47 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB102, 1)) | (~v100(constB102)) | v129(constB102, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB102, 1)) | v129(constB102, 1) | (~v100(constB102)))),
% 54.30/34.47 inference(transitivity,[status(thm)],[18845, 18843])).
% 54.30/34.47 tff(18847,plain,
% 54.30/34.47 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB102, 1)) | (~v100(constB102)) | v129(constB102, 1))),
% 54.30/34.47 inference(quant_inst,[status(thm)],[])).
% 54.30/34.47 tff(18848,plain,
% 54.30/34.47 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB102, 1)) | v129(constB102, 1) | (~v100(constB102))),
% 54.30/34.47 inference(modus_ponens,[status(thm)],[18847, 18846])).
% 54.30/34.47 tff(18849,plain,
% 54.30/34.47 (v129(constB102, 1) | (~v100(constB102))),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18848, 1309, 18842])).
% 54.30/34.47 tff(18850,plain,
% 54.30/34.47 (v129(constB102, 1)),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18849, 18797])).
% 54.30/34.47 tff(18851,plain,
% 54.30/34.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB101, constB102)) | v127(constB101, 1) | (~v129(constB102, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB101, constB102)) | v127(constB101, 1) | (~v129(constB102, 1)))),
% 54.30/34.47 inference(rewrite,[status(thm)],[])).
% 54.30/34.47 tff(18852,plain,
% 54.30/34.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB101, constB102)) | v127(constB101, 1) | (~v129(constB102, 1)))),
% 54.30/34.47 inference(quant_inst,[status(thm)],[])).
% 54.30/34.47 tff(18853,plain,
% 54.30/34.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB101, constB102)) | v127(constB101, 1) | (~v129(constB102, 1))),
% 54.30/34.47 inference(modus_ponens,[status(thm)],[18852, 18851])).
% 54.30/34.47 tff(18854,plain,
% 54.30/34.47 (v127(constB101, 1) | (~v129(constB102, 1))),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18853, 1294, 18377])).
% 54.30/34.47 tff(18855,plain,
% 54.30/34.47 (v127(constB101, 1)),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18854, 18850])).
% 54.30/34.47 tff(18856,plain,
% 54.30/34.47 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB101, 1)) | v26(constB101) | v130(constB101, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB101, 1)) | v26(constB101) | v130(constB101, 1))),
% 54.30/34.47 inference(rewrite,[status(thm)],[])).
% 54.30/34.47 tff(18857,plain,
% 54.30/34.47 ((v26(constB101) | v130(constB101, 1) | (~v127(constB101, 1))) <=> ((~v127(constB101, 1)) | v26(constB101) | v130(constB101, 1))),
% 54.30/34.47 inference(rewrite,[status(thm)],[])).
% 54.30/34.47 tff(18858,plain,
% 54.30/34.47 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB101) | v130(constB101, 1) | (~v127(constB101, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB101, 1)) | v26(constB101) | v130(constB101, 1)))),
% 54.30/34.47 inference(monotonicity,[status(thm)],[18857])).
% 54.30/34.47 tff(18859,plain,
% 54.30/34.47 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB101) | v130(constB101, 1) | (~v127(constB101, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB101, 1)) | v26(constB101) | v130(constB101, 1))),
% 54.30/34.47 inference(transitivity,[status(thm)],[18858, 18856])).
% 54.30/34.47 tff(18860,plain,
% 54.30/34.47 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB101) | v130(constB101, 1) | (~v127(constB101, 1)))),
% 54.30/34.47 inference(quant_inst,[status(thm)],[])).
% 54.30/34.47 tff(18861,plain,
% 54.30/34.47 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB101, 1)) | v26(constB101) | v130(constB101, 1)),
% 54.30/34.47 inference(modus_ponens,[status(thm)],[18860, 18859])).
% 54.30/34.47 tff(18862,plain,
% 54.30/34.47 ((~v127(constB101, 1)) | v130(constB101, 1)),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18861, 1276, 18369])).
% 54.30/34.47 tff(18863,plain,
% 54.30/34.47 (v130(constB101, 1)),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18862, 18855])).
% 54.30/34.47 tff(18864,plain,
% 54.30/34.47 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB101) | v120(constB101) | v121(constB101) | v122(constB101) | v123(constB101) | v124(constB101) | (~v130(constB101, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB101) | v120(constB101) | v121(constB101) | v122(constB101) | v123(constB101) | v124(constB101) | (~v130(constB101, 1)))),
% 54.30/34.47 inference(rewrite,[status(thm)],[])).
% 54.30/34.47 tff(18865,plain,
% 54.30/34.47 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB101) | v120(constB101) | v121(constB101) | v122(constB101) | v123(constB101) | v124(constB101) | (~v130(constB101, 1)))),
% 54.30/34.47 inference(quant_inst,[status(thm)],[])).
% 54.30/34.47 tff(18866,plain,
% 54.30/34.47 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB101) | v120(constB101) | v121(constB101) | v122(constB101) | v123(constB101) | v124(constB101) | (~v130(constB101, 1))),
% 54.30/34.47 inference(modus_ponens,[status(thm)],[18865, 18864])).
% 54.30/34.47 tff(18867,plain,
% 54.30/34.47 (v123(constB101)),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18866, 3309, 18863, 18841, 18840, 18836, 18827, 18823])).
% 54.30/34.47 tff(18868,plain,
% 54.30/34.47 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB101)) | (~v130(constB101, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB101)) | (~v130(constB101, 1)))),
% 54.30/34.47 inference(rewrite,[status(thm)],[])).
% 54.30/34.47 tff(18869,plain,
% 54.30/34.47 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB101)) | (~v130(constB101, 1)))),
% 54.30/34.47 inference(quant_inst,[status(thm)],[])).
% 54.30/34.47 tff(18870,plain,
% 54.30/34.47 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB101)) | (~v130(constB101, 1))),
% 54.30/34.47 inference(modus_ponens,[status(thm)],[18869, 18868])).
% 54.30/34.47 tff(18871,plain,
% 54.30/34.47 ($false),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18870, 2581, 18863, 18867])).
% 54.30/34.47 tff(18872,plain,((~v100(constB102)) | (~v90(constB102, 1)) | (~v90(constB102, 0)) | (~v90(constB102, 2))), inference(lemma,lemma(discharge,[]))).
% 54.30/34.47 tff(18873,plain,
% 54.30/34.47 ($false),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18872, 18796, 18778, 18776, 18743])).
% 54.30/34.47 tff(18874,plain,(v100(constB104) | v90(constB101, 0)), inference(lemma,lemma(discharge,[]))).
% 54.30/34.47 tff(18875,plain,
% 54.30/34.47 (v90(constB101, 0)),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18874, 18599])).
% 54.30/34.47 tff(18876,plain,
% 54.30/34.47 (v90(constB100, 0)),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18356, 18875])).
% 54.30/34.47 tff(18877,plain,
% 54.30/34.47 (~v100(constB102)),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18872, 18796, 18776, 18743])).
% 54.30/34.47 tff(18878,plain,
% 54.30/34.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB101, 1) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB101, 1) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, 1)))),
% 54.30/34.47 inference(rewrite,[status(thm)],[])).
% 54.30/34.47 tff(18879,plain,
% 54.30/34.47 (((~nextState(constB101, constB102)) | v90(constB101, 1) | v100(constB102) | (~v90(constB102, 1))) <=> (v90(constB101, 1) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, 1)))),
% 54.30/34.47 inference(rewrite,[status(thm)],[])).
% 54.30/34.47 tff(18880,plain,
% 54.30/34.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB101, constB102)) | v90(constB101, 1) | v100(constB102) | (~v90(constB102, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB101, 1) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, 1))))),
% 54.30/34.47 inference(monotonicity,[status(thm)],[18879])).
% 54.30/34.47 tff(18881,plain,
% 54.30/34.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB101, constB102)) | v90(constB101, 1) | v100(constB102) | (~v90(constB102, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB101, 1) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, 1)))),
% 54.30/34.47 inference(transitivity,[status(thm)],[18880, 18878])).
% 54.30/34.47 tff(18882,plain,
% 54.30/34.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB101, constB102)) | v90(constB101, 1) | v100(constB102) | (~v90(constB102, 1)))),
% 54.30/34.47 inference(quant_inst,[status(thm)],[])).
% 54.30/34.47 tff(18883,plain,
% 54.30/34.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB101, 1) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, 1))),
% 54.30/34.47 inference(modus_ponens,[status(thm)],[18882, 18881])).
% 54.30/34.47 tff(18884,plain,
% 54.30/34.47 (v90(constB101, 1) | v100(constB102) | (~v90(constB102, 1))),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18883, 926, 18377])).
% 54.30/34.47 tff(18885,plain,
% 54.30/34.47 (v90(constB101, 1)),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18884, 18877, 18796])).
% 54.30/34.47 tff(18886,plain,
% 54.30/34.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB100, 1) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB100, 1) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, 1)))),
% 54.30/34.47 inference(rewrite,[status(thm)],[])).
% 54.30/34.47 tff(18887,plain,
% 54.30/34.47 (((~nextState(constB100, constB101)) | v90(constB100, 1) | v100(constB101) | (~v90(constB101, 1))) <=> (v90(constB100, 1) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, 1)))),
% 54.30/34.47 inference(rewrite,[status(thm)],[])).
% 54.30/34.47 tff(18888,plain,
% 54.30/34.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB100, constB101)) | v90(constB100, 1) | v100(constB101) | (~v90(constB101, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB100, 1) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, 1))))),
% 54.30/34.47 inference(monotonicity,[status(thm)],[18887])).
% 54.30/34.47 tff(18889,plain,
% 54.30/34.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB100, constB101)) | v90(constB100, 1) | v100(constB101) | (~v90(constB101, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB100, 1) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, 1)))),
% 54.30/34.47 inference(transitivity,[status(thm)],[18888, 18886])).
% 54.30/34.47 tff(18890,plain,
% 54.30/34.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB100, constB101)) | v90(constB100, 1) | v100(constB101) | (~v90(constB101, 1)))),
% 54.30/34.47 inference(quant_inst,[status(thm)],[])).
% 54.30/34.47 tff(18891,plain,
% 54.30/34.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB100, 1) | (~nextState(constB100, constB101)) | v100(constB101) | (~v90(constB101, 1))),
% 54.30/34.47 inference(modus_ponens,[status(thm)],[18890, 18889])).
% 54.30/34.47 tff(18892,plain,
% 54.30/34.47 (v90(constB100, 1) | v100(constB101) | (~v90(constB101, 1))),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18891, 926, 18296])).
% 54.30/34.47 tff(18893,plain,
% 54.30/34.47 (v90(constB100, 1) | (~v90(constB101, 1))),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18892, 18308])).
% 54.30/34.47 tff(18894,plain,
% 54.30/34.47 (v90(constB100, 1)),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18893, 18885])).
% 54.30/34.47 tff(18895,plain,
% 54.30/34.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB101, 2) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB101, 2) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, 2)))),
% 54.30/34.47 inference(rewrite,[status(thm)],[])).
% 54.30/34.47 tff(18896,plain,
% 54.30/34.47 (((~nextState(constB101, constB102)) | v90(constB101, 2) | v100(constB102) | (~v90(constB102, 2))) <=> (v90(constB101, 2) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, 2)))),
% 54.30/34.47 inference(rewrite,[status(thm)],[])).
% 54.30/34.47 tff(18897,plain,
% 54.30/34.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB101, constB102)) | v90(constB101, 2) | v100(constB102) | (~v90(constB102, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB101, 2) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, 2))))),
% 54.30/34.47 inference(monotonicity,[status(thm)],[18896])).
% 54.30/34.47 tff(18898,plain,
% 54.30/34.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB101, constB102)) | v90(constB101, 2) | v100(constB102) | (~v90(constB102, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB101, 2) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, 2)))),
% 54.30/34.47 inference(transitivity,[status(thm)],[18897, 18895])).
% 54.30/34.47 tff(18899,plain,
% 54.30/34.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB101, constB102)) | v90(constB101, 2) | v100(constB102) | (~v90(constB102, 2)))),
% 54.30/34.47 inference(quant_inst,[status(thm)],[])).
% 54.30/34.47 tff(18900,plain,
% 54.30/34.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB101, 2) | (~nextState(constB101, constB102)) | v100(constB102) | (~v90(constB102, 2))),
% 54.30/34.47 inference(modus_ponens,[status(thm)],[18899, 18898])).
% 54.30/34.47 tff(18901,plain,
% 54.30/34.47 (v90(constB101, 2) | v100(constB102) | (~v90(constB102, 2))),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18900, 905, 18377])).
% 54.30/34.47 tff(18902,plain,
% 54.30/34.47 (v90(constB101, 2)),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18901, 18877, 18743])).
% 54.30/34.47 tff(18903,plain,
% 54.30/34.47 (v90(constB100, 2)),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18316, 18902])).
% 54.30/34.47 tff(18904,assumption,(v90(constB100, 1)), introduced(assumption)).
% 54.30/34.47 tff(18905,plain,
% 54.30/34.47 ((~v127(constB99, 0)) | v130(constB99, 0)),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18197, 1671, 18180])).
% 54.30/34.47 tff(18906,plain,
% 54.30/34.47 (~v127(constB99, 0)),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18905, 18191])).
% 54.30/34.47 tff(18907,plain,
% 54.30/34.47 (~v129(constB100, 0)),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18206, 18906])).
% 54.30/34.47 tff(18908,plain,
% 54.30/34.47 (~v100(constB100)),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18215, 18907])).
% 54.30/34.47 tff(18909,plain,
% 54.30/34.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB99, 1) | (~nextState(constB99, constB100)) | v100(constB100) | (~v90(constB100, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB99, 1) | (~nextState(constB99, constB100)) | v100(constB100) | (~v90(constB100, 1)))),
% 54.30/34.47 inference(rewrite,[status(thm)],[])).
% 54.30/34.47 tff(18910,plain,
% 54.30/34.47 (((~nextState(constB99, constB100)) | v90(constB99, 1) | v100(constB100) | (~v90(constB100, 1))) <=> (v90(constB99, 1) | (~nextState(constB99, constB100)) | v100(constB100) | (~v90(constB100, 1)))),
% 54.30/34.47 inference(rewrite,[status(thm)],[])).
% 54.30/34.47 tff(18911,plain,
% 54.30/34.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB99, constB100)) | v90(constB99, 1) | v100(constB100) | (~v90(constB100, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB99, 1) | (~nextState(constB99, constB100)) | v100(constB100) | (~v90(constB100, 1))))),
% 54.30/34.47 inference(monotonicity,[status(thm)],[18910])).
% 54.30/34.47 tff(18912,plain,
% 54.30/34.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB99, constB100)) | v90(constB99, 1) | v100(constB100) | (~v90(constB100, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB99, 1) | (~nextState(constB99, constB100)) | v100(constB100) | (~v90(constB100, 1)))),
% 54.30/34.47 inference(transitivity,[status(thm)],[18911, 18909])).
% 54.30/34.47 tff(18913,plain,
% 54.30/34.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB99, constB100)) | v90(constB99, 1) | v100(constB100) | (~v90(constB100, 1)))),
% 54.30/34.47 inference(quant_inst,[status(thm)],[])).
% 54.30/34.47 tff(18914,plain,
% 54.30/34.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB99, 1) | (~nextState(constB99, constB100)) | v100(constB100) | (~v90(constB100, 1))),
% 54.30/34.47 inference(modus_ponens,[status(thm)],[18913, 18912])).
% 54.30/34.47 tff(18915,plain,
% 54.30/34.47 (v90(constB99, 1) | v100(constB100) | (~v90(constB100, 1))),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18914, 926, 18202])).
% 54.30/34.47 tff(18916,plain,
% 54.30/34.47 (v90(constB99, 1)),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18915, 18908, 18904])).
% 54.30/34.47 tff(18917,plain,
% 54.30/34.47 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB99)) | (~v90(constB99, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB99)) | (~v90(constB99, 1)))),
% 54.30/34.47 inference(rewrite,[status(thm)],[])).
% 54.30/34.47 tff(18918,plain,
% 54.30/34.47 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB99)) | (~v90(constB99, 1)))),
% 54.30/34.47 inference(quant_inst,[status(thm)],[])).
% 54.30/34.47 tff(18919,plain,
% 54.30/34.47 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB99)) | (~v90(constB99, 1))),
% 54.30/34.47 inference(modus_ponens,[status(thm)],[18918, 18917])).
% 54.30/34.47 tff(18920,plain,
% 54.30/34.47 (~v124(constB99)),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18919, 2890, 18916])).
% 54.30/34.47 tff(18921,assumption,(v90(constB100, 2)), introduced(assumption)).
% 54.30/34.47 tff(18922,plain,
% 54.30/34.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB99, 2) | (~nextState(constB99, constB100)) | v100(constB100) | (~v90(constB100, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB99, 2) | (~nextState(constB99, constB100)) | v100(constB100) | (~v90(constB100, 2)))),
% 54.30/34.47 inference(rewrite,[status(thm)],[])).
% 54.30/34.47 tff(18923,plain,
% 54.30/34.47 (((~nextState(constB99, constB100)) | v90(constB99, 2) | v100(constB100) | (~v90(constB100, 2))) <=> (v90(constB99, 2) | (~nextState(constB99, constB100)) | v100(constB100) | (~v90(constB100, 2)))),
% 54.30/34.47 inference(rewrite,[status(thm)],[])).
% 54.30/34.47 tff(18924,plain,
% 54.30/34.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB99, constB100)) | v90(constB99, 2) | v100(constB100) | (~v90(constB100, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB99, 2) | (~nextState(constB99, constB100)) | v100(constB100) | (~v90(constB100, 2))))),
% 54.30/34.47 inference(monotonicity,[status(thm)],[18923])).
% 54.30/34.47 tff(18925,plain,
% 54.30/34.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB99, constB100)) | v90(constB99, 2) | v100(constB100) | (~v90(constB100, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB99, 2) | (~nextState(constB99, constB100)) | v100(constB100) | (~v90(constB100, 2)))),
% 54.30/34.47 inference(transitivity,[status(thm)],[18924, 18922])).
% 54.30/34.47 tff(18926,plain,
% 54.30/34.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB99, constB100)) | v90(constB99, 2) | v100(constB100) | (~v90(constB100, 2)))),
% 54.30/34.47 inference(quant_inst,[status(thm)],[])).
% 54.30/34.47 tff(18927,plain,
% 54.30/34.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB99, 2) | (~nextState(constB99, constB100)) | v100(constB100) | (~v90(constB100, 2))),
% 54.30/34.47 inference(modus_ponens,[status(thm)],[18926, 18925])).
% 54.30/34.47 tff(18928,plain,
% 54.30/34.47 (v90(constB99, 2) | v100(constB100) | (~v90(constB100, 2))),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18927, 905, 18202])).
% 54.30/34.47 tff(18929,plain,
% 54.30/34.47 (v90(constB99, 2)),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18928, 18908, 18921])).
% 54.30/34.47 tff(18930,plain,
% 54.30/34.47 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB99)) | (~v90(constB99, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB99)) | (~v90(constB99, 2)))),
% 54.30/34.47 inference(rewrite,[status(thm)],[])).
% 54.30/34.47 tff(18931,plain,
% 54.30/34.47 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB99)) | (~v90(constB99, 2)))),
% 54.30/34.47 inference(quant_inst,[status(thm)],[])).
% 54.30/34.47 tff(18932,plain,
% 54.30/34.47 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB99)) | (~v90(constB99, 2))),
% 54.30/34.47 inference(modus_ponens,[status(thm)],[18931, 18930])).
% 54.30/34.47 tff(18933,plain,
% 54.30/34.47 (~v122(constB99)),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18932, 2797, 18929])).
% 54.30/34.47 tff(18934,assumption,(~v90(constB99, 0)), introduced(assumption)).
% 54.30/34.47 tff(18935,plain,
% 54.30/34.47 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB99)) | v90(constB99, 0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB99)) | v90(constB99, 0))),
% 54.30/34.47 inference(rewrite,[status(thm)],[])).
% 54.30/34.47 tff(18936,plain,
% 54.30/34.47 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB99)) | v90(constB99, 0))),
% 54.30/34.47 inference(quant_inst,[status(thm)],[])).
% 54.30/34.47 tff(18937,plain,
% 54.30/34.47 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB99)) | v90(constB99, 0)),
% 54.30/34.47 inference(modus_ponens,[status(thm)],[18936, 18935])).
% 54.30/34.47 tff(18938,plain,
% 54.30/34.47 (~v124(constB99)),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18937, 6692, 18934])).
% 54.30/34.47 tff(18939,plain,
% 54.30/34.47 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB99)) | v130(constB99, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB99)) | v130(constB99, 0))),
% 54.30/34.47 inference(rewrite,[status(thm)],[])).
% 54.30/34.47 tff(18940,plain,
% 54.30/34.47 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB99)) | v130(constB99, 0))),
% 54.30/34.47 inference(quant_inst,[status(thm)],[])).
% 54.30/34.47 tff(18941,plain,
% 54.30/34.47 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB99)) | v130(constB99, 0)),
% 54.30/34.47 inference(modus_ponens,[status(thm)],[18940, 18939])).
% 54.30/34.47 tff(18942,plain,
% 54.30/34.47 (~v123(constB99)),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18941, 2622, 18191])).
% 54.30/34.47 tff(18943,plain,
% 54.30/34.47 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB99)) | v130(constB99, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB99)) | v130(constB99, 0))),
% 54.30/34.47 inference(rewrite,[status(thm)],[])).
% 54.30/34.47 tff(18944,plain,
% 54.30/34.47 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB99)) | v130(constB99, 0))),
% 54.30/34.47 inference(quant_inst,[status(thm)],[])).
% 54.30/34.47 tff(18945,plain,
% 54.30/34.47 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB99)) | v130(constB99, 0)),
% 54.30/34.47 inference(modus_ponens,[status(thm)],[18944, 18943])).
% 54.30/34.47 tff(18946,plain,
% 54.30/34.47 (~v119(constB99)),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18945, 1333, 18191])).
% 54.30/34.47 tff(18947,plain,
% 54.30/34.47 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB99)) | v130(constB99, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB99)) | v130(constB99, 0))),
% 54.30/34.47 inference(rewrite,[status(thm)],[])).
% 54.30/34.47 tff(18948,plain,
% 54.30/34.47 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB99)) | v130(constB99, 0))),
% 54.30/34.47 inference(quant_inst,[status(thm)],[])).
% 54.30/34.47 tff(18949,plain,
% 54.30/34.47 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB99)) | v130(constB99, 0)),
% 54.30/34.47 inference(modus_ponens,[status(thm)],[18948, 18947])).
% 54.30/34.47 tff(18950,plain,
% 54.30/34.47 (~v121(constB99)),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18949, 1915, 18191])).
% 54.30/34.47 tff(18951,plain,
% 54.30/34.47 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | ((~v122(constB99)) | v90(constB99, 0))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | (~v122(constB99)) | v90(constB99, 0))),
% 54.30/34.47 inference(rewrite,[status(thm)],[])).
% 54.30/34.47 tff(18952,plain,
% 54.30/34.47 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | ((~v122(constB99)) | v90(constB99, 0))),
% 54.30/34.47 inference(quant_inst,[status(thm)],[])).
% 54.30/34.47 tff(18953,plain,
% 54.30/34.47 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | (~v122(constB99)) | v90(constB99, 0)),
% 54.30/34.47 inference(modus_ponens,[status(thm)],[18952, 18951])).
% 54.30/34.47 tff(18954,plain,
% 54.30/34.47 (~v122(constB99)),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18953, 6851, 18934])).
% 54.30/34.47 tff(18955,plain,
% 54.30/34.47 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | ((~v120(constB99)) | v90(constB99, 0))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | (~v120(constB99)) | v90(constB99, 0))),
% 54.30/34.47 inference(rewrite,[status(thm)],[])).
% 54.30/34.47 tff(18956,plain,
% 54.30/34.47 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | ((~v120(constB99)) | v90(constB99, 0))),
% 54.30/34.47 inference(quant_inst,[status(thm)],[])).
% 54.30/34.47 tff(18957,plain,
% 54.30/34.47 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | (~v120(constB99)) | v90(constB99, 0)),
% 54.30/34.47 inference(modus_ponens,[status(thm)],[18956, 18955])).
% 54.30/34.47 tff(18958,plain,
% 54.30/34.47 (~v120(constB99)),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18957, 16200, 18934])).
% 54.30/34.47 tff(18959,plain,
% 54.30/34.47 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB99) | v120(constB99) | v121(constB99) | v122(constB99) | v123(constB99) | v124(constB99) | v130(constB99, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB99) | v120(constB99) | v121(constB99) | v122(constB99) | v123(constB99) | v124(constB99) | v130(constB99, 0))),
% 54.30/34.47 inference(rewrite,[status(thm)],[])).
% 54.30/34.47 tff(18960,plain,
% 54.30/34.47 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB99) | v120(constB99) | v121(constB99) | v122(constB99) | v123(constB99) | v124(constB99) | v130(constB99, 0))),
% 54.30/34.47 inference(quant_inst,[status(thm)],[])).
% 54.30/34.47 tff(18961,plain,
% 54.30/34.47 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB99) | v120(constB99) | v121(constB99) | v122(constB99) | v123(constB99) | v124(constB99) | v130(constB99, 0)),
% 54.30/34.47 inference(modus_ponens,[status(thm)],[18960, 18959])).
% 54.30/34.47 tff(18962,plain,
% 54.30/34.47 (v119(constB99) | v120(constB99) | v121(constB99) | v122(constB99) | v123(constB99) | v124(constB99)),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18961, 3413, 18191])).
% 54.30/34.47 tff(18963,plain,
% 54.30/34.47 ($false),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18962, 18958, 18954, 18950, 18946, 18942, 18938])).
% 54.30/34.47 tff(18964,plain,(v90(constB99, 0) | v130(constB99, 0)), inference(lemma,lemma(discharge,[]))).
% 54.30/34.47 tff(18965,plain,
% 54.30/34.47 (v90(constB99, 0)),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18964, 18191])).
% 54.30/34.47 tff(18966,plain,
% 54.30/34.47 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v119(constB99)) | (~v90(constB99, 0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | (~v119(constB99)) | (~v90(constB99, 0)))),
% 54.30/34.47 inference(rewrite,[status(thm)],[])).
% 54.30/34.47 tff(18967,plain,
% 54.30/34.47 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v119(constB99)) | (~v90(constB99, 0)))),
% 54.30/34.47 inference(quant_inst,[status(thm)],[])).
% 54.30/34.47 tff(18968,plain,
% 54.30/34.47 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | (~v119(constB99)) | (~v90(constB99, 0))),
% 54.30/34.47 inference(modus_ponens,[status(thm)],[18967, 18966])).
% 54.30/34.47 tff(18969,plain,
% 54.30/34.47 (~v119(constB99)),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18968, 5865, 18965])).
% 54.30/34.47 tff(18970,plain,
% 54.30/34.47 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v121(constB99)) | (~v90(constB99, 0)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | (~v121(constB99)) | (~v90(constB99, 0)))),
% 54.30/34.47 inference(rewrite,[status(thm)],[])).
% 54.30/34.47 tff(18971,plain,
% 54.30/34.47 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v121(constB99)) | (~v90(constB99, 0)))),
% 54.30/34.47 inference(quant_inst,[status(thm)],[])).
% 54.30/34.47 tff(18972,plain,
% 54.30/34.47 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | (~v121(constB99)) | (~v90(constB99, 0))),
% 54.30/34.47 inference(modus_ponens,[status(thm)],[18971, 18970])).
% 54.30/34.47 tff(18973,plain,
% 54.30/34.47 (~v121(constB99)),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18972, 5876, 18965])).
% 54.30/34.47 tff(18974,plain,
% 54.30/34.47 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v123(constB99)) | (~v90(constB99, 0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | (~v123(constB99)) | (~v90(constB99, 0)))),
% 54.30/34.47 inference(rewrite,[status(thm)],[])).
% 54.30/34.47 tff(18975,plain,
% 54.30/34.47 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v123(constB99)) | (~v90(constB99, 0)))),
% 54.30/34.47 inference(quant_inst,[status(thm)],[])).
% 54.30/34.47 tff(18976,plain,
% 54.30/34.47 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | (~v123(constB99)) | (~v90(constB99, 0))),
% 54.30/34.47 inference(modus_ponens,[status(thm)],[18975, 18974])).
% 54.30/34.47 tff(18977,plain,
% 54.30/34.47 (~v123(constB99)),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18976, 5887, 18965])).
% 54.30/34.47 tff(18978,plain,
% 54.30/34.47 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v120(constB99)) | (~v90(constB99, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | (~v120(constB99)) | (~v90(constB99, 2)))),
% 54.30/34.47 inference(rewrite,[status(thm)],[])).
% 54.30/34.47 tff(18979,plain,
% 54.30/34.47 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v120(constB99)) | (~v90(constB99, 2)))),
% 54.30/34.47 inference(quant_inst,[status(thm)],[])).
% 54.30/34.47 tff(18980,plain,
% 54.30/34.47 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | (~v120(constB99)) | (~v90(constB99, 2))),
% 54.30/34.47 inference(modus_ponens,[status(thm)],[18979, 18978])).
% 54.30/34.47 tff(18981,plain,
% 54.30/34.47 (~v120(constB99)),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18980, 3825, 18929])).
% 54.30/34.47 tff(18982,plain,
% 54.30/34.47 ($false),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18961, 3413, 18191, 18981, 18977, 18973, 18969, 18933, 18920])).
% 54.30/34.47 tff(18983,plain,(v130(constB99, 0) | (~v90(constB100, 1)) | (~v90(constB100, 2)) | (~v90(constB100, 0))), inference(lemma,lemma(discharge,[]))).
% 54.30/34.47 tff(18984,plain,
% 54.30/34.47 (v130(constB99, 0)),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18983, 18903, 18876, 18894])).
% 54.30/34.47 tff(18985,plain,
% 54.30/34.47 (~v120(constB99)),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18136, 1657, 18984])).
% 54.30/34.47 tff(18986,plain,
% 54.30/34.47 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB99)) | (~v130(constB99, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB99)) | (~v130(constB99, 0)))),
% 54.30/34.47 inference(rewrite,[status(thm)],[])).
% 54.30/34.47 tff(18987,plain,
% 54.30/34.47 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB99)) | (~v130(constB99, 0)))),
% 54.30/34.47 inference(quant_inst,[status(thm)],[])).
% 54.30/34.47 tff(18988,plain,
% 54.30/34.47 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB99)) | (~v130(constB99, 0))),
% 54.30/34.47 inference(modus_ponens,[status(thm)],[18987, 18986])).
% 54.30/34.47 tff(18989,plain,
% 54.30/34.47 (~v124(constB99)),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18988, 3274, 18984])).
% 54.30/34.47 tff(18990,plain,
% 54.30/34.47 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB99)) | (~v130(constB99, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB99)) | (~v130(constB99, 0)))),
% 54.30/34.47 inference(rewrite,[status(thm)],[])).
% 54.30/34.47 tff(18991,plain,
% 54.30/34.47 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB99)) | (~v130(constB99, 0)))),
% 54.30/34.47 inference(quant_inst,[status(thm)],[])).
% 54.30/34.47 tff(18992,plain,
% 54.30/34.47 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB99)) | (~v130(constB99, 0))),
% 54.30/34.47 inference(modus_ponens,[status(thm)],[18991, 18990])).
% 54.30/34.47 tff(18993,plain,
% 54.30/34.47 (~v122(constB99)),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18992, 2407, 18984])).
% 54.30/34.47 tff(18994,assumption,(v100(constB100)), introduced(assumption)).
% 54.30/34.47 tff(18995,plain,
% 54.30/34.47 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB100, 1)) | v129(constB100, 1) | (~v100(constB100)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB100, 1)) | v129(constB100, 1) | (~v100(constB100)))),
% 54.30/34.47 inference(rewrite,[status(thm)],[])).
% 54.30/34.47 tff(18996,plain,
% 54.30/34.47 (((~v90(constB100, 1)) | (~v100(constB100)) | v129(constB100, 1)) <=> ((~v90(constB100, 1)) | v129(constB100, 1) | (~v100(constB100)))),
% 54.30/34.47 inference(rewrite,[status(thm)],[])).
% 54.30/34.47 tff(18997,plain,
% 54.30/34.47 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB100, 1)) | (~v100(constB100)) | v129(constB100, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB100, 1)) | v129(constB100, 1) | (~v100(constB100))))),
% 54.30/34.47 inference(monotonicity,[status(thm)],[18996])).
% 54.30/34.47 tff(18998,plain,
% 54.30/34.47 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB100, 1)) | (~v100(constB100)) | v129(constB100, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB100, 1)) | v129(constB100, 1) | (~v100(constB100)))),
% 54.30/34.47 inference(transitivity,[status(thm)],[18997, 18995])).
% 54.30/34.47 tff(18999,plain,
% 54.30/34.47 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB100, 1)) | (~v100(constB100)) | v129(constB100, 1))),
% 54.30/34.47 inference(quant_inst,[status(thm)],[])).
% 54.30/34.47 tff(19000,plain,
% 54.30/34.47 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB100, 1)) | v129(constB100, 1) | (~v100(constB100))),
% 54.30/34.47 inference(modus_ponens,[status(thm)],[18999, 18998])).
% 54.30/34.47 tff(19001,plain,
% 54.30/34.47 (v129(constB100, 1) | (~v100(constB100))),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[19000, 1309, 18904])).
% 54.30/34.47 tff(19002,plain,
% 54.30/34.47 (v129(constB100, 1)),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[19001, 18994])).
% 54.30/34.47 tff(19003,plain,
% 54.30/34.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB99, constB100)) | v127(constB99, 1) | (~v129(constB100, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB99, constB100)) | v127(constB99, 1) | (~v129(constB100, 1)))),
% 54.30/34.47 inference(rewrite,[status(thm)],[])).
% 54.30/34.47 tff(19004,plain,
% 54.30/34.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB99, constB100)) | v127(constB99, 1) | (~v129(constB100, 1)))),
% 54.30/34.47 inference(quant_inst,[status(thm)],[])).
% 54.30/34.47 tff(19005,plain,
% 54.30/34.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB99, constB100)) | v127(constB99, 1) | (~v129(constB100, 1))),
% 54.30/34.47 inference(modus_ponens,[status(thm)],[19004, 19003])).
% 54.30/34.47 tff(19006,plain,
% 54.30/34.47 (v127(constB99, 1) | (~v129(constB100, 1))),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[19005, 1294, 18202])).
% 54.30/34.47 tff(19007,plain,
% 54.30/34.47 (v127(constB99, 1)),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[19006, 19002])).
% 54.30/34.47 tff(19008,plain,
% 54.30/34.47 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB99, 1)) | v26(constB99) | v130(constB99, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB99, 1)) | v26(constB99) | v130(constB99, 1))),
% 54.30/34.47 inference(rewrite,[status(thm)],[])).
% 54.30/34.47 tff(19009,plain,
% 54.30/34.47 ((v26(constB99) | v130(constB99, 1) | (~v127(constB99, 1))) <=> ((~v127(constB99, 1)) | v26(constB99) | v130(constB99, 1))),
% 54.30/34.47 inference(rewrite,[status(thm)],[])).
% 54.30/34.47 tff(19010,plain,
% 54.30/34.47 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB99) | v130(constB99, 1) | (~v127(constB99, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB99, 1)) | v26(constB99) | v130(constB99, 1)))),
% 54.30/34.47 inference(monotonicity,[status(thm)],[19009])).
% 54.30/34.47 tff(19011,plain,
% 54.30/34.47 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB99) | v130(constB99, 1) | (~v127(constB99, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB99, 1)) | v26(constB99) | v130(constB99, 1))),
% 54.30/34.47 inference(transitivity,[status(thm)],[19010, 19008])).
% 54.30/34.47 tff(19012,plain,
% 54.30/34.47 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB99) | v130(constB99, 1) | (~v127(constB99, 1)))),
% 54.30/34.47 inference(quant_inst,[status(thm)],[])).
% 54.30/34.47 tff(19013,plain,
% 54.30/34.47 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB99, 1)) | v26(constB99) | v130(constB99, 1)),
% 54.30/34.47 inference(modus_ponens,[status(thm)],[19012, 19011])).
% 54.30/34.47 tff(19014,plain,
% 54.30/34.47 ((~v127(constB99, 1)) | v130(constB99, 1)),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[19013, 1276, 18180])).
% 54.30/34.47 tff(19015,plain,
% 54.30/34.47 (v130(constB99, 1)),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[19014, 19007])).
% 54.30/34.47 tff(19016,plain,
% 54.30/34.47 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB99)) | (~v130(constB99, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB99)) | (~v130(constB99, 1)))),
% 54.30/34.47 inference(rewrite,[status(thm)],[])).
% 54.30/34.47 tff(19017,plain,
% 54.30/34.47 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB99)) | (~v130(constB99, 1)))),
% 54.30/34.47 inference(quant_inst,[status(thm)],[])).
% 54.30/34.47 tff(19018,plain,
% 54.30/34.47 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB99)) | (~v130(constB99, 1))),
% 54.30/34.47 inference(modus_ponens,[status(thm)],[19017, 19016])).
% 54.30/34.47 tff(19019,plain,
% 54.30/34.47 (~v123(constB99)),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[19018, 2581, 19015])).
% 54.30/34.47 tff(19020,plain,
% 54.30/34.47 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB99)) | (~v130(constB99, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB99)) | (~v130(constB99, 1)))),
% 54.30/34.47 inference(rewrite,[status(thm)],[])).
% 54.30/34.47 tff(19021,plain,
% 54.30/34.47 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB99)) | (~v130(constB99, 1)))),
% 54.30/34.47 inference(quant_inst,[status(thm)],[])).
% 54.30/34.47 tff(19022,plain,
% 54.30/34.47 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB99)) | (~v130(constB99, 1))),
% 54.30/34.47 inference(modus_ponens,[status(thm)],[19021, 19020])).
% 54.30/34.47 tff(19023,plain,
% 54.30/34.47 (~v119(constB99)),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[19022, 1262, 19015])).
% 54.30/34.47 tff(19024,plain,
% 54.30/34.47 (v129(constB100, 2) | (~v100(constB100))),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18288, 1223, 18921])).
% 54.30/34.47 tff(19025,plain,
% 54.30/34.47 (v129(constB100, 2)),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[19024, 18994])).
% 54.30/34.47 tff(19026,plain,
% 54.30/34.47 (v127(constB99, 2)),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18284, 19025])).
% 54.30/34.47 tff(19027,plain,
% 54.30/34.47 (v130(constB99, 2)),
% 54.30/34.47 inference(unit_resolution,[status(thm)],[18279, 19026])).
% 54.30/34.47 tff(19028,plain,
% 54.30/34.47 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB99)) | (~v130(constB99, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB99)) | (~v130(constB99, 2)))),
% 54.30/34.48 inference(rewrite,[status(thm)],[])).
% 54.30/34.48 tff(19029,plain,
% 54.30/34.48 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB99)) | (~v130(constB99, 2)))),
% 54.30/34.48 inference(quant_inst,[status(thm)],[])).
% 54.30/34.48 tff(19030,plain,
% 54.30/34.48 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB99)) | (~v130(constB99, 2))),
% 54.30/34.48 inference(modus_ponens,[status(thm)],[19029, 19028])).
% 54.30/34.48 tff(19031,plain,
% 54.30/34.48 (~v121(constB99)),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[19030, 1821, 19027])).
% 54.30/34.48 tff(19032,assumption,(~v122(constB99)), introduced(assumption)).
% 54.30/34.48 tff(19033,assumption,(~v124(constB99)), introduced(assumption)).
% 54.30/34.48 tff(19034,assumption,(~v120(constB99)), introduced(assumption)).
% 54.30/34.48 tff(19035,plain,
% 54.30/34.48 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB99) | v120(constB99) | v121(constB99) | v122(constB99) | v123(constB99) | v124(constB99) | (~v130(constB99, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB99) | v120(constB99) | v121(constB99) | v122(constB99) | v123(constB99) | v124(constB99) | (~v130(constB99, 1)))),
% 54.30/34.48 inference(rewrite,[status(thm)],[])).
% 54.30/34.48 tff(19036,plain,
% 54.30/34.48 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB99) | v120(constB99) | v121(constB99) | v122(constB99) | v123(constB99) | v124(constB99) | (~v130(constB99, 1)))),
% 54.30/34.48 inference(quant_inst,[status(thm)],[])).
% 54.30/34.48 tff(19037,plain,
% 54.30/34.48 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB99) | v120(constB99) | v121(constB99) | v122(constB99) | v123(constB99) | v124(constB99) | (~v130(constB99, 1))),
% 54.30/34.48 inference(modus_ponens,[status(thm)],[19036, 19035])).
% 54.30/34.48 tff(19038,plain,
% 54.30/34.48 (v119(constB99) | v121(constB99) | v123(constB99) | (~v130(constB99, 1))),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[19037, 3309, 19034, 19033, 19032])).
% 54.30/34.48 tff(19039,plain,
% 54.30/34.48 ($false),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[19038, 19031, 19023, 19015, 19019])).
% 54.30/34.48 tff(19040,plain,((~v100(constB100)) | v120(constB99) | v124(constB99) | v122(constB99) | (~v90(constB100, 2)) | (~v90(constB100, 1))), inference(lemma,lemma(discharge,[]))).
% 54.30/34.48 tff(19041,plain,
% 54.30/34.48 (~v100(constB100)),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[19040, 18993, 18989, 18894, 18903, 18985])).
% 54.30/34.48 tff(19042,plain,
% 54.30/34.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB99, 0) | (~nextState(constB99, constB100)) | v100(constB100) | (~v90(constB100, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB99, 0) | (~nextState(constB99, constB100)) | v100(constB100) | (~v90(constB100, 0)))),
% 54.30/34.48 inference(rewrite,[status(thm)],[])).
% 54.30/34.48 tff(19043,plain,
% 54.30/34.48 (((~nextState(constB99, constB100)) | v90(constB99, 0) | v100(constB100) | (~v90(constB100, 0))) <=> (v90(constB99, 0) | (~nextState(constB99, constB100)) | v100(constB100) | (~v90(constB100, 0)))),
% 54.30/34.48 inference(rewrite,[status(thm)],[])).
% 54.30/34.48 tff(19044,plain,
% 54.30/34.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB99, constB100)) | v90(constB99, 0) | v100(constB100) | (~v90(constB100, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB99, 0) | (~nextState(constB99, constB100)) | v100(constB100) | (~v90(constB100, 0))))),
% 54.30/34.48 inference(monotonicity,[status(thm)],[19043])).
% 54.30/34.48 tff(19045,plain,
% 54.30/34.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB99, constB100)) | v90(constB99, 0) | v100(constB100) | (~v90(constB100, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB99, 0) | (~nextState(constB99, constB100)) | v100(constB100) | (~v90(constB100, 0)))),
% 54.30/34.48 inference(transitivity,[status(thm)],[19044, 19042])).
% 54.30/34.48 tff(19046,plain,
% 54.30/34.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB99, constB100)) | v90(constB99, 0) | v100(constB100) | (~v90(constB100, 0)))),
% 54.30/34.48 inference(quant_inst,[status(thm)],[])).
% 54.30/34.48 tff(19047,plain,
% 54.30/34.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB99, 0) | (~nextState(constB99, constB100)) | v100(constB100) | (~v90(constB100, 0))),
% 54.30/34.48 inference(modus_ponens,[status(thm)],[19046, 19045])).
% 54.30/34.48 tff(19048,plain,
% 54.30/34.48 (v90(constB99, 0) | v100(constB100) | (~v90(constB100, 0))),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[19047, 947, 18202])).
% 54.30/34.48 tff(19049,plain,
% 54.30/34.48 (v90(constB99, 0)),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[19048, 19041, 18876])).
% 54.30/34.48 tff(19050,plain,
% 54.30/34.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB98, 0) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB98, 0) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, 0)))),
% 54.30/34.48 inference(rewrite,[status(thm)],[])).
% 54.30/34.48 tff(19051,plain,
% 54.30/34.48 (((~nextState(constB98, constB99)) | v90(constB98, 0) | v100(constB99) | (~v90(constB99, 0))) <=> (v90(constB98, 0) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, 0)))),
% 54.30/34.48 inference(rewrite,[status(thm)],[])).
% 54.30/34.48 tff(19052,plain,
% 54.30/34.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB98, constB99)) | v90(constB98, 0) | v100(constB99) | (~v90(constB99, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB98, 0) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, 0))))),
% 54.30/34.48 inference(monotonicity,[status(thm)],[19051])).
% 54.30/34.48 tff(19053,plain,
% 54.30/34.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB98, constB99)) | v90(constB98, 0) | v100(constB99) | (~v90(constB99, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB98, 0) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, 0)))),
% 54.30/34.48 inference(transitivity,[status(thm)],[19052, 19050])).
% 54.30/34.48 tff(19054,plain,
% 54.30/34.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB98, constB99)) | v90(constB98, 0) | v100(constB99) | (~v90(constB99, 0)))),
% 54.30/34.48 inference(quant_inst,[status(thm)],[])).
% 54.30/34.48 tff(19055,plain,
% 54.30/34.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB98, 0) | (~nextState(constB98, constB99)) | v100(constB99) | (~v90(constB99, 0))),
% 54.30/34.48 inference(modus_ponens,[status(thm)],[19054, 19053])).
% 54.30/34.48 tff(19056,plain,
% 54.30/34.48 (v90(constB98, 0) | v100(constB99) | (~v90(constB99, 0))),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[19055, 947, 18045])).
% 54.30/34.48 tff(19057,plain,
% 54.30/34.48 (v90(constB98, 0) | (~v90(constB99, 0))),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[19056, 18057])).
% 54.30/34.48 tff(19058,plain,
% 54.30/34.48 (v90(constB98, 0)),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[19057, 19049])).
% 54.30/34.48 tff(19059,assumption,(~v90(constB97, 0)), introduced(assumption)).
% 54.30/34.48 tff(19060,plain,
% 54.30/34.48 (v90(constB99, 1)),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[18915, 19041, 18894])).
% 54.30/34.48 tff(19061,plain,
% 54.30/34.48 (v90(constB98, 1)),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[18128, 19060])).
% 54.30/34.48 tff(19062,plain,
% 54.30/34.48 (v90(constB99, 2)),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[18928, 19041, 18903])).
% 54.30/34.48 tff(19063,plain,
% 54.30/34.48 (v90(constB98, 2)),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[18095, 19062])).
% 54.30/34.48 tff(19064,assumption,(v90(constB98, 0)), introduced(assumption)).
% 54.30/34.48 tff(19065,plain,
% 54.30/34.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB97, 0) | (~nextState(constB97, constB98)) | v100(constB98) | (~v90(constB98, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB97, 0) | (~nextState(constB97, constB98)) | v100(constB98) | (~v90(constB98, 0)))),
% 54.30/34.48 inference(rewrite,[status(thm)],[])).
% 54.30/34.48 tff(19066,plain,
% 54.30/34.48 (((~nextState(constB97, constB98)) | v90(constB97, 0) | v100(constB98) | (~v90(constB98, 0))) <=> (v90(constB97, 0) | (~nextState(constB97, constB98)) | v100(constB98) | (~v90(constB98, 0)))),
% 54.30/34.48 inference(rewrite,[status(thm)],[])).
% 54.30/34.48 tff(19067,plain,
% 54.30/34.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB97, constB98)) | v90(constB97, 0) | v100(constB98) | (~v90(constB98, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB97, 0) | (~nextState(constB97, constB98)) | v100(constB98) | (~v90(constB98, 0))))),
% 54.30/34.48 inference(monotonicity,[status(thm)],[19066])).
% 54.30/34.48 tff(19068,plain,
% 54.30/34.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB97, constB98)) | v90(constB97, 0) | v100(constB98) | (~v90(constB98, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB97, 0) | (~nextState(constB97, constB98)) | v100(constB98) | (~v90(constB98, 0)))),
% 54.30/34.48 inference(transitivity,[status(thm)],[19067, 19065])).
% 54.30/34.48 tff(19069,plain,
% 54.30/34.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB97, constB98)) | v90(constB97, 0) | v100(constB98) | (~v90(constB98, 0)))),
% 54.30/34.48 inference(quant_inst,[status(thm)],[])).
% 54.30/34.48 tff(19070,plain,
% 54.30/34.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB97, 0) | (~nextState(constB97, constB98)) | v100(constB98) | (~v90(constB98, 0))),
% 54.30/34.48 inference(modus_ponens,[status(thm)],[19069, 19068])).
% 54.30/34.48 tff(19071,plain,
% 54.30/34.48 (v90(constB97, 0) | v100(constB98) | (~v90(constB98, 0))),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[19070, 947, 17928])).
% 54.30/34.48 tff(19072,plain,
% 54.30/34.48 (v100(constB98)),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[19071, 19059, 19064])).
% 54.30/34.48 tff(19073,plain,
% 54.30/34.48 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB98, 0)) | v129(constB98, 0) | (~v100(constB98)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB98, 0)) | v129(constB98, 0) | (~v100(constB98)))),
% 54.30/34.48 inference(rewrite,[status(thm)],[])).
% 54.30/34.48 tff(19074,plain,
% 54.30/34.48 (((~v90(constB98, 0)) | (~v100(constB98)) | v129(constB98, 0)) <=> ((~v90(constB98, 0)) | v129(constB98, 0) | (~v100(constB98)))),
% 54.30/34.48 inference(rewrite,[status(thm)],[])).
% 54.30/34.48 tff(19075,plain,
% 54.30/34.48 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB98, 0)) | (~v100(constB98)) | v129(constB98, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB98, 0)) | v129(constB98, 0) | (~v100(constB98))))),
% 54.30/34.48 inference(monotonicity,[status(thm)],[19074])).
% 54.30/34.48 tff(19076,plain,
% 54.30/34.48 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB98, 0)) | (~v100(constB98)) | v129(constB98, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB98, 0)) | v129(constB98, 0) | (~v100(constB98)))),
% 54.30/34.48 inference(transitivity,[status(thm)],[19075, 19073])).
% 54.30/34.48 tff(19077,plain,
% 54.30/34.48 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB98, 0)) | (~v100(constB98)) | v129(constB98, 0))),
% 54.30/34.48 inference(quant_inst,[status(thm)],[])).
% 54.30/34.48 tff(19078,plain,
% 54.30/34.48 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB98, 0)) | v129(constB98, 0) | (~v100(constB98))),
% 54.30/34.48 inference(modus_ponens,[status(thm)],[19077, 19076])).
% 54.30/34.48 tff(19079,plain,
% 54.30/34.48 (v129(constB98, 0) | (~v100(constB98))),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[19078, 1704, 19064])).
% 54.30/34.48 tff(19080,plain,
% 54.30/34.48 (v129(constB98, 0)),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[19079, 19072])).
% 54.30/34.48 tff(19081,plain,
% 54.30/34.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB97, constB98)) | v127(constB97, 0) | (~v129(constB98, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB97, constB98)) | v127(constB97, 0) | (~v129(constB98, 0)))),
% 54.30/34.48 inference(rewrite,[status(thm)],[])).
% 54.30/34.48 tff(19082,plain,
% 54.30/34.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB97, constB98)) | v127(constB97, 0) | (~v129(constB98, 0)))),
% 54.30/34.48 inference(quant_inst,[status(thm)],[])).
% 54.30/34.48 tff(19083,plain,
% 54.30/34.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB97, constB98)) | v127(constB97, 0) | (~v129(constB98, 0))),
% 54.30/34.48 inference(modus_ponens,[status(thm)],[19082, 19081])).
% 54.30/34.48 tff(19084,plain,
% 54.30/34.48 (v127(constB97, 0) | (~v129(constB98, 0))),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[19083, 1689, 17928])).
% 54.30/34.48 tff(19085,plain,
% 54.30/34.48 (v127(constB97, 0)),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[19084, 19080])).
% 54.30/34.48 tff(19086,plain,
% 54.30/34.48 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | ((~v26(constB97)) | (~v127(constB97, 0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | (~v26(constB97)) | (~v127(constB97, 0)))),
% 54.30/34.48 inference(rewrite,[status(thm)],[])).
% 54.30/34.48 tff(19087,plain,
% 54.30/34.48 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | ((~v26(constB97)) | (~v127(constB97, 0)))),
% 54.30/34.48 inference(quant_inst,[status(thm)],[])).
% 54.30/34.48 tff(19088,plain,
% 54.30/34.48 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | (~v26(constB97)) | (~v127(constB97, 0))),
% 54.30/34.48 inference(modus_ponens,[status(thm)],[19087, 19086])).
% 54.30/34.48 tff(19089,plain,
% 54.30/34.48 (~v26(constB97)),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[19088, 2241, 19085])).
% 54.30/34.48 tff(19090,assumption,(v90(constB98, 2)), introduced(assumption)).
% 54.30/34.48 tff(19091,plain,
% 54.30/34.48 (v129(constB98, 2) | (~v100(constB98))),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[18086, 1223, 19090])).
% 54.30/34.48 tff(19092,plain,
% 54.30/34.48 (v129(constB98, 2)),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[19091, 19072])).
% 54.30/34.48 tff(19093,plain,
% 54.30/34.48 (v127(constB97, 2)),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[18082, 19092])).
% 54.30/34.48 tff(19094,plain,
% 54.30/34.48 (v130(constB97, 2)),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[18076, 1190, 19093, 19089])).
% 54.30/34.48 tff(19095,plain,
% 54.30/34.48 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB97)) | (~v130(constB97, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB97)) | (~v130(constB97, 2)))),
% 54.30/34.48 inference(rewrite,[status(thm)],[])).
% 54.30/34.48 tff(19096,plain,
% 54.30/34.48 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB97)) | (~v130(constB97, 2)))),
% 54.30/34.48 inference(quant_inst,[status(thm)],[])).
% 54.30/34.48 tff(19097,plain,
% 54.30/34.48 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB97)) | (~v130(constB97, 2))),
% 54.30/34.48 inference(modus_ponens,[status(thm)],[19096, 19095])).
% 54.30/34.48 tff(19098,plain,
% 54.30/34.48 (~v119(constB97)),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[19097, 1176, 19094])).
% 54.30/34.48 tff(19099,plain,
% 54.30/34.48 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | ((~v120(constB97)) | v90(constB97, 0))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | (~v120(constB97)) | v90(constB97, 0))),
% 54.30/34.48 inference(rewrite,[status(thm)],[])).
% 54.30/34.48 tff(19100,plain,
% 54.30/34.48 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | ((~v120(constB97)) | v90(constB97, 0))),
% 54.30/34.48 inference(quant_inst,[status(thm)],[])).
% 54.30/34.48 tff(19101,plain,
% 54.30/34.48 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | (~v120(constB97)) | v90(constB97, 0)),
% 54.30/34.48 inference(modus_ponens,[status(thm)],[19100, 19099])).
% 54.30/34.48 tff(19102,plain,
% 54.30/34.48 (~v120(constB97)),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[19101, 16200, 19059])).
% 54.30/34.48 tff(19103,plain,
% 54.30/34.48 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB97)) | (~v130(constB97, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB97)) | (~v130(constB97, 2)))),
% 54.30/34.48 inference(rewrite,[status(thm)],[])).
% 54.30/34.48 tff(19104,plain,
% 54.30/34.48 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB97)) | (~v130(constB97, 2)))),
% 54.30/34.48 inference(quant_inst,[status(thm)],[])).
% 54.30/34.48 tff(19105,plain,
% 54.30/34.48 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB97)) | (~v130(constB97, 2))),
% 54.30/34.48 inference(modus_ponens,[status(thm)],[19104, 19103])).
% 54.30/34.48 tff(19106,plain,
% 54.30/34.48 (~v121(constB97)),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[19105, 1821, 19094])).
% 54.30/34.48 tff(19107,plain,
% 54.30/34.48 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | ((~v122(constB97)) | v90(constB97, 0))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | (~v122(constB97)) | v90(constB97, 0))),
% 54.30/34.48 inference(rewrite,[status(thm)],[])).
% 54.30/34.48 tff(19108,plain,
% 54.30/34.48 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | ((~v122(constB97)) | v90(constB97, 0))),
% 54.30/34.48 inference(quant_inst,[status(thm)],[])).
% 54.30/34.48 tff(19109,plain,
% 54.30/34.48 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | (~v122(constB97)) | v90(constB97, 0)),
% 54.30/34.48 inference(modus_ponens,[status(thm)],[19108, 19107])).
% 54.30/34.48 tff(19110,plain,
% 54.30/34.48 (~v122(constB97)),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[19109, 6851, 19059])).
% 54.30/34.48 tff(19111,plain,
% 54.30/34.48 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB97)) | v90(constB97, 0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB97)) | v90(constB97, 0))),
% 54.30/34.48 inference(rewrite,[status(thm)],[])).
% 54.30/34.48 tff(19112,plain,
% 54.30/34.48 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB97)) | v90(constB97, 0))),
% 54.30/34.48 inference(quant_inst,[status(thm)],[])).
% 54.30/34.48 tff(19113,plain,
% 54.30/34.48 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB97)) | v90(constB97, 0)),
% 54.30/34.48 inference(modus_ponens,[status(thm)],[19112, 19111])).
% 54.30/34.48 tff(19114,plain,
% 54.30/34.48 (~v124(constB97)),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[19113, 6692, 19059])).
% 54.30/34.48 tff(19115,assumption,(v90(constB98, 1)), introduced(assumption)).
% 54.30/34.48 tff(19116,plain,
% 54.30/34.48 (v129(constB98, 1) | (~v100(constB98))),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[18119, 1309, 19115])).
% 54.30/34.48 tff(19117,plain,
% 54.30/34.48 (v129(constB98, 1)),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[19116, 19072])).
% 54.30/34.48 tff(19118,plain,
% 54.30/34.48 (v127(constB97, 1)),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[18112, 19117])).
% 54.30/34.48 tff(19119,plain,
% 54.30/34.48 (v130(constB97, 1)),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[18106, 1276, 19118, 19089])).
% 54.30/34.48 tff(19120,plain,
% 54.30/34.48 (v123(constB97)),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[18099, 3309, 19119, 19114, 19110, 19106, 19102, 19098])).
% 54.30/34.48 tff(19121,plain,
% 54.30/34.48 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB97)) | (~v130(constB97, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB97)) | (~v130(constB97, 1)))),
% 54.30/34.48 inference(rewrite,[status(thm)],[])).
% 54.30/34.48 tff(19122,plain,
% 54.30/34.48 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB97)) | (~v130(constB97, 1)))),
% 54.30/34.48 inference(quant_inst,[status(thm)],[])).
% 54.30/34.48 tff(19123,plain,
% 54.30/34.48 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB97)) | (~v130(constB97, 1))),
% 54.30/34.48 inference(modus_ponens,[status(thm)],[19122, 19121])).
% 54.30/34.48 tff(19124,plain,
% 54.30/34.48 ($false),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[19123, 2581, 19119, 19120])).
% 54.30/34.48 tff(19125,plain,(v90(constB97, 0) | (~v90(constB98, 1)) | (~v90(constB98, 2)) | (~v90(constB98, 0))), inference(lemma,lemma(discharge,[]))).
% 54.30/34.48 tff(19126,plain,
% 54.30/34.48 ($false),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[19125, 19063, 19061, 19059, 19058])).
% 54.30/34.48 tff(19127,plain,(v100(constB104) | v90(constB97, 0)), inference(lemma,lemma(discharge,[]))).
% 54.30/34.48 tff(19128,plain,
% 54.30/34.48 (v100(constB104)),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[19127, 17967])).
% 54.30/34.48 tff(19129,plain,
% 54.30/34.48 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB104, 1)) | v129(constB104, 1) | (~v100(constB104)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB104, 1)) | v129(constB104, 1) | (~v100(constB104)))),
% 54.30/34.48 inference(rewrite,[status(thm)],[])).
% 54.30/34.48 tff(19130,plain,
% 54.30/34.48 (((~v90(constB104, 1)) | (~v100(constB104)) | v129(constB104, 1)) <=> ((~v90(constB104, 1)) | v129(constB104, 1) | (~v100(constB104)))),
% 54.30/34.48 inference(rewrite,[status(thm)],[])).
% 54.30/34.48 tff(19131,plain,
% 54.30/34.48 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB104, 1)) | (~v100(constB104)) | v129(constB104, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB104, 1)) | v129(constB104, 1) | (~v100(constB104))))),
% 54.30/34.48 inference(monotonicity,[status(thm)],[19130])).
% 54.30/34.48 tff(19132,plain,
% 54.30/34.48 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB104, 1)) | (~v100(constB104)) | v129(constB104, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB104, 1)) | v129(constB104, 1) | (~v100(constB104)))),
% 54.30/34.48 inference(transitivity,[status(thm)],[19131, 19129])).
% 54.30/34.48 tff(19133,plain,
% 54.30/34.48 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB104, 1)) | (~v100(constB104)) | v129(constB104, 1))),
% 54.30/34.48 inference(quant_inst,[status(thm)],[])).
% 54.30/34.48 tff(19134,plain,
% 54.30/34.48 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB104, 1)) | v129(constB104, 1) | (~v100(constB104))),
% 54.30/34.48 inference(modus_ponens,[status(thm)],[19133, 19132])).
% 54.30/34.48 tff(19135,plain,
% 54.30/34.48 ((~v90(constB104, 1)) | v129(constB104, 1)),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[19134, 1309, 19128])).
% 54.30/34.48 tff(19136,plain,
% 54.30/34.48 (~v90(constB104, 1)),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[19135, 18598])).
% 54.30/34.48 tff(19137,plain,
% 54.30/34.48 ((~v1(constB105)) <=> (~v1(constB105))),
% 54.30/34.48 inference(rewrite,[status(thm)],[])).
% 54.30/34.48 tff(19138,axiom,(~v1(constB105)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_105_1_1')).
% 54.30/34.48 tff(19139,plain,
% 54.30/34.48 (~v1(constB105)),
% 54.30/34.48 inference(modus_ponens,[status(thm)],[19138, 19137])).
% 54.30/34.48 tff(19140,plain,
% 54.30/34.48 (nextState(constB104, constB105) <=> nextState(constB104, constB105)),
% 54.30/34.48 inference(rewrite,[status(thm)],[])).
% 54.30/34.48 tff(19141,axiom,(nextState(constB104, constB105)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_104_1')).
% 54.30/34.48 tff(19142,plain,
% 54.30/34.48 (nextState(constB104, constB105)),
% 54.30/34.48 inference(modus_ponens,[status(thm)],[19141, 19140])).
% 54.30/34.48 tff(19143,plain,
% 54.30/34.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105)))),
% 54.30/34.48 inference(rewrite,[status(thm)],[])).
% 54.30/34.48 tff(19144,plain,
% 54.30/34.48 (((~nextState(constB104, constB105)) | (~v101(constB105)) | v1(constB105)) <=> (v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105)))),
% 54.30/34.48 inference(rewrite,[status(thm)],[])).
% 54.30/34.48 tff(19145,plain,
% 54.30/34.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB104, constB105)) | (~v101(constB105)) | v1(constB105))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105))))),
% 54.30/34.48 inference(monotonicity,[status(thm)],[19144])).
% 54.30/34.48 tff(19146,plain,
% 54.30/34.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB104, constB105)) | (~v101(constB105)) | v1(constB105))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105)))),
% 54.30/34.48 inference(transitivity,[status(thm)],[19145, 19143])).
% 54.30/34.48 tff(19147,plain,
% 54.30/34.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB104, constB105)) | (~v101(constB105)) | v1(constB105))),
% 54.30/34.48 inference(quant_inst,[status(thm)],[])).
% 54.30/34.48 tff(19148,plain,
% 54.30/34.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB105) | (~nextState(constB104, constB105)) | (~v101(constB105))),
% 54.30/34.48 inference(modus_ponens,[status(thm)],[19147, 19146])).
% 54.30/34.48 tff(19149,plain,
% 54.30/34.48 (~v101(constB105)),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[19148, 873, 19142, 19139])).
% 54.30/34.48 tff(19150,plain,
% 54.30/34.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB104, constB105)) | v101(constB105) | (~v100(constB105)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB104, constB105)) | v101(constB105) | (~v100(constB105)))),
% 54.30/34.48 inference(rewrite,[status(thm)],[])).
% 54.30/34.48 tff(19151,plain,
% 54.30/34.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB104, constB105)) | v101(constB105) | (~v100(constB105)))),
% 54.30/34.48 inference(quant_inst,[status(thm)],[])).
% 54.30/34.48 tff(19152,plain,
% 54.30/34.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB104, constB105)) | v101(constB105) | (~v100(constB105))),
% 54.30/34.48 inference(modus_ponens,[status(thm)],[19151, 19150])).
% 54.30/34.48 tff(19153,plain,
% 54.30/34.48 (v101(constB105) | (~v100(constB105))),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[19152, 890, 19142])).
% 54.30/34.48 tff(19154,plain,
% 54.30/34.48 (~v100(constB105)),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[19153, 19149])).
% 54.30/34.48 tff(19155,plain,
% 54.30/34.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB104, 1) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB104, 1) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, 1)))),
% 54.30/34.48 inference(rewrite,[status(thm)],[])).
% 54.30/34.48 tff(19156,plain,
% 54.30/34.48 (((~nextState(constB104, constB105)) | v90(constB104, 1) | v100(constB105) | (~v90(constB105, 1))) <=> (v90(constB104, 1) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, 1)))),
% 54.30/34.48 inference(rewrite,[status(thm)],[])).
% 54.30/34.48 tff(19157,plain,
% 54.30/34.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB104, constB105)) | v90(constB104, 1) | v100(constB105) | (~v90(constB105, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB104, 1) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, 1))))),
% 54.30/34.48 inference(monotonicity,[status(thm)],[19156])).
% 54.30/34.48 tff(19158,plain,
% 54.30/34.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB104, constB105)) | v90(constB104, 1) | v100(constB105) | (~v90(constB105, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB104, 1) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, 1)))),
% 54.30/34.48 inference(transitivity,[status(thm)],[19157, 19155])).
% 54.30/34.48 tff(19159,plain,
% 54.30/34.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB104, constB105)) | v90(constB104, 1) | v100(constB105) | (~v90(constB105, 1)))),
% 54.30/34.48 inference(quant_inst,[status(thm)],[])).
% 54.30/34.48 tff(19160,plain,
% 54.30/34.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB104, 1) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, 1))),
% 54.30/34.48 inference(modus_ponens,[status(thm)],[19159, 19158])).
% 54.30/34.48 tff(19161,plain,
% 54.30/34.48 (v90(constB104, 1) | v100(constB105) | (~v90(constB105, 1))),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[19160, 926, 19142])).
% 54.30/34.48 tff(19162,plain,
% 54.30/34.48 (v90(constB104, 1) | (~v90(constB105, 1))),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[19161, 19154])).
% 54.30/34.48 tff(19163,plain,
% 54.30/34.48 (~v90(constB105, 1)),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[19162, 19136])).
% 54.30/34.48 tff(19164,plain,
% 54.30/34.48 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB103)) | v130(constB103, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB103)) | v130(constB103, 2))),
% 54.30/34.48 inference(rewrite,[status(thm)],[])).
% 54.30/34.48 tff(19165,plain,
% 54.30/34.48 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB103)) | v130(constB103, 2))),
% 54.30/34.48 inference(quant_inst,[status(thm)],[])).
% 54.30/34.48 tff(19166,plain,
% 54.30/34.48 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB103)) | v130(constB103, 2)),
% 54.30/34.48 inference(modus_ponens,[status(thm)],[19165, 19164])).
% 54.30/34.48 tff(19167,plain,
% 54.30/34.48 (v130(constB103, 2)),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[19166, 1967, 18574])).
% 54.30/34.48 tff(19168,plain,
% 54.30/34.48 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB103) | (~v130(constB103, 2)) | v127(constB103, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB103) | (~v130(constB103, 2)) | v127(constB103, 2))),
% 54.30/34.48 inference(rewrite,[status(thm)],[])).
% 54.30/34.48 tff(19169,plain,
% 54.30/34.48 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB103) | (~v130(constB103, 2)) | v127(constB103, 2))),
% 54.30/34.48 inference(quant_inst,[status(thm)],[])).
% 54.30/34.48 tff(19170,plain,
% 54.30/34.48 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB103) | (~v130(constB103, 2)) | v127(constB103, 2)),
% 54.30/34.48 inference(modus_ponens,[status(thm)],[19169, 19168])).
% 54.30/34.48 tff(19171,plain,
% 54.30/34.48 ((~v130(constB103, 2)) | v127(constB103, 2)),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[19170, 1981, 18582])).
% 54.30/34.48 tff(19172,plain,
% 54.30/34.48 (v127(constB103, 2)),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[19171, 19167])).
% 54.30/34.48 tff(19173,plain,
% 54.30/34.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB103, constB104)) | (~v127(constB103, 2)) | v129(constB104, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB103, constB104)) | (~v127(constB103, 2)) | v129(constB104, 2))),
% 54.30/34.48 inference(rewrite,[status(thm)],[])).
% 54.30/34.48 tff(19174,plain,
% 54.30/34.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB103, constB104)) | (~v127(constB103, 2)) | v129(constB104, 2))),
% 54.30/34.48 inference(quant_inst,[status(thm)],[])).
% 54.30/34.48 tff(19175,plain,
% 54.30/34.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB103, constB104)) | (~v127(constB103, 2)) | v129(constB104, 2)),
% 54.30/34.48 inference(modus_ponens,[status(thm)],[19174, 19173])).
% 54.30/34.48 tff(19176,plain,
% 54.30/34.48 ((~v127(constB103, 2)) | v129(constB104, 2)),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[19175, 1999, 18593])).
% 54.30/34.48 tff(19177,plain,
% 54.30/34.48 (v129(constB104, 2)),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[19176, 19172])).
% 54.30/34.48 tff(19178,plain,
% 54.30/34.48 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB104, 2) | (~v129(constB104, 2)) | (~v100(constB104)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB104, 2) | (~v129(constB104, 2)) | (~v100(constB104)))),
% 54.30/34.48 inference(rewrite,[status(thm)],[])).
% 54.30/34.48 tff(19179,plain,
% 54.30/34.48 ((v90(constB104, 2) | (~v100(constB104)) | (~v129(constB104, 2))) <=> (v90(constB104, 2) | (~v129(constB104, 2)) | (~v100(constB104)))),
% 54.30/34.48 inference(rewrite,[status(thm)],[])).
% 54.30/34.48 tff(19180,plain,
% 54.30/34.48 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB104, 2) | (~v100(constB104)) | (~v129(constB104, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB104, 2) | (~v129(constB104, 2)) | (~v100(constB104))))),
% 54.30/34.48 inference(monotonicity,[status(thm)],[19179])).
% 54.30/34.48 tff(19181,plain,
% 54.30/34.48 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB104, 2) | (~v100(constB104)) | (~v129(constB104, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB104, 2) | (~v129(constB104, 2)) | (~v100(constB104)))),
% 54.30/34.48 inference(transitivity,[status(thm)],[19180, 19178])).
% 54.30/34.48 tff(19182,plain,
% 54.30/34.48 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB104, 2) | (~v100(constB104)) | (~v129(constB104, 2)))),
% 54.30/34.48 inference(quant_inst,[status(thm)],[])).
% 54.30/34.48 tff(19183,plain,
% 54.30/34.48 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB104, 2) | (~v129(constB104, 2)) | (~v100(constB104))),
% 54.30/34.48 inference(modus_ponens,[status(thm)],[19182, 19181])).
% 54.30/34.48 tff(19184,plain,
% 54.30/34.48 (v90(constB104, 2) | (~v129(constB104, 2))),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[19183, 2324, 19128])).
% 54.30/34.48 tff(19185,plain,
% 54.30/34.48 (v90(constB104, 2)),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[19184, 19177])).
% 54.30/34.48 tff(19186,plain,
% 54.30/34.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB104, 2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB104, 2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, 2))),
% 54.30/34.48 inference(rewrite,[status(thm)],[])).
% 54.30/34.48 tff(19187,plain,
% 54.30/34.48 (((~nextState(constB104, constB105)) | (~v90(constB104, 2)) | v100(constB105) | v90(constB105, 2)) <=> ((~v90(constB104, 2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, 2))),
% 54.30/34.48 inference(rewrite,[status(thm)],[])).
% 54.30/34.48 tff(19188,plain,
% 54.30/34.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB104, constB105)) | (~v90(constB104, 2)) | v100(constB105) | v90(constB105, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB104, 2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, 2)))),
% 54.30/34.48 inference(monotonicity,[status(thm)],[19187])).
% 54.30/34.48 tff(19189,plain,
% 54.30/34.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB104, constB105)) | (~v90(constB104, 2)) | v100(constB105) | v90(constB105, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB104, 2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, 2))),
% 54.30/34.48 inference(transitivity,[status(thm)],[19188, 19186])).
% 54.30/34.48 tff(19190,plain,
% 54.30/34.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB104, constB105)) | (~v90(constB104, 2)) | v100(constB105) | v90(constB105, 2))),
% 54.30/34.48 inference(quant_inst,[status(thm)],[])).
% 54.30/34.48 tff(19191,plain,
% 54.30/34.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB104, 2)) | (~nextState(constB104, constB105)) | v100(constB105) | v90(constB105, 2)),
% 54.30/34.48 inference(modus_ponens,[status(thm)],[19190, 19189])).
% 54.30/34.48 tff(19192,plain,
% 54.30/34.48 ((~v90(constB104, 2)) | v100(constB105) | v90(constB105, 2)),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[19191, 2174, 19142])).
% 54.30/34.48 tff(19193,plain,
% 54.30/34.48 ((~v90(constB104, 2)) | v90(constB105, 2)),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[19192, 19154])).
% 54.30/34.48 tff(19194,plain,
% 54.30/34.48 (v90(constB105, 2)),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[19193, 19185])).
% 54.30/34.48 tff(19195,assumption,(v122(constB103)), introduced(assumption)).
% 54.30/34.48 tff(19196,plain,
% 54.30/34.48 (v116(constB103)),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[18663, 2120, 19195])).
% 54.30/34.48 tff(19197,plain,
% 54.30/34.48 (v115(constB103)),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[18659, 1021, 19196])).
% 54.30/34.48 tff(19198,plain,
% 54.30/34.48 (v114(constB103)),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[18652, 1035, 19197])).
% 54.30/34.48 tff(19199,plain,
% 54.30/34.48 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB103)) | (~v130(constB103, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB103)) | (~v130(constB103, 0)))),
% 54.30/34.48 inference(rewrite,[status(thm)],[])).
% 54.30/34.48 tff(19200,plain,
% 54.30/34.48 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB103)) | (~v130(constB103, 0)))),
% 54.30/34.48 inference(quant_inst,[status(thm)],[])).
% 54.30/34.48 tff(19201,plain,
% 54.30/34.48 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB103)) | (~v130(constB103, 0))),
% 54.30/34.48 inference(modus_ponens,[status(thm)],[19200, 19199])).
% 54.30/34.48 tff(19202,plain,
% 54.30/34.48 (~v130(constB103, 0)),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[19201, 2407, 19195])).
% 54.30/34.48 tff(19203,plain,
% 54.30/34.48 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB103, 0)) | v26(constB103) | v130(constB103, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB103, 0)) | v26(constB103) | v130(constB103, 0))),
% 54.30/34.48 inference(rewrite,[status(thm)],[])).
% 54.30/34.48 tff(19204,plain,
% 54.30/34.48 ((v26(constB103) | v130(constB103, 0) | (~v127(constB103, 0))) <=> ((~v127(constB103, 0)) | v26(constB103) | v130(constB103, 0))),
% 54.30/34.48 inference(rewrite,[status(thm)],[])).
% 54.30/34.48 tff(19205,plain,
% 54.30/34.48 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB103) | v130(constB103, 0) | (~v127(constB103, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB103, 0)) | v26(constB103) | v130(constB103, 0)))),
% 54.30/34.48 inference(monotonicity,[status(thm)],[19204])).
% 54.30/34.48 tff(19206,plain,
% 54.30/34.48 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB103) | v130(constB103, 0) | (~v127(constB103, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB103, 0)) | v26(constB103) | v130(constB103, 0))),
% 54.30/34.48 inference(transitivity,[status(thm)],[19205, 19203])).
% 54.30/34.48 tff(19207,plain,
% 54.30/34.48 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB103) | v130(constB103, 0) | (~v127(constB103, 0)))),
% 54.30/34.48 inference(quant_inst,[status(thm)],[])).
% 54.30/34.48 tff(19208,plain,
% 54.30/34.48 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB103, 0)) | v26(constB103) | v130(constB103, 0)),
% 54.30/34.48 inference(modus_ponens,[status(thm)],[19207, 19206])).
% 54.30/34.48 tff(19209,plain,
% 54.30/34.48 ((~v127(constB103, 0)) | v130(constB103, 0)),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[19208, 1671, 18582])).
% 54.30/34.48 tff(19210,plain,
% 54.30/34.48 (~v127(constB103, 0)),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[19209, 19202])).
% 54.30/34.48 tff(19211,plain,
% 54.30/34.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB103, constB104)) | v127(constB103, 0) | (~v129(constB104, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB103, constB104)) | v127(constB103, 0) | (~v129(constB104, 0)))),
% 54.30/34.48 inference(rewrite,[status(thm)],[])).
% 54.30/34.48 tff(19212,plain,
% 54.30/34.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB103, constB104)) | v127(constB103, 0) | (~v129(constB104, 0)))),
% 54.30/34.48 inference(quant_inst,[status(thm)],[])).
% 54.30/34.48 tff(19213,plain,
% 54.30/34.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB103, constB104)) | v127(constB103, 0) | (~v129(constB104, 0))),
% 54.30/34.48 inference(modus_ponens,[status(thm)],[19212, 19211])).
% 54.30/34.48 tff(19214,plain,
% 54.30/34.48 (v127(constB103, 0) | (~v129(constB104, 0))),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[19213, 1689, 18593])).
% 54.30/34.48 tff(19215,plain,
% 54.30/34.48 (~v129(constB104, 0)),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[19214, 19210])).
% 54.30/34.48 tff(19216,assumption,(v90(constB104, 0)), introduced(assumption)).
% 54.30/34.48 tff(19217,plain,
% 54.30/34.48 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB104, 0)) | v129(constB104, 0) | (~v100(constB104)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB104, 0)) | v129(constB104, 0) | (~v100(constB104)))),
% 54.30/34.48 inference(rewrite,[status(thm)],[])).
% 54.30/34.48 tff(19218,plain,
% 54.30/34.48 (((~v90(constB104, 0)) | (~v100(constB104)) | v129(constB104, 0)) <=> ((~v90(constB104, 0)) | v129(constB104, 0) | (~v100(constB104)))),
% 54.30/34.48 inference(rewrite,[status(thm)],[])).
% 54.30/34.48 tff(19219,plain,
% 54.30/34.48 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB104, 0)) | (~v100(constB104)) | v129(constB104, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB104, 0)) | v129(constB104, 0) | (~v100(constB104))))),
% 54.30/34.48 inference(monotonicity,[status(thm)],[19218])).
% 54.30/34.48 tff(19220,plain,
% 54.30/34.48 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB104, 0)) | (~v100(constB104)) | v129(constB104, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB104, 0)) | v129(constB104, 0) | (~v100(constB104)))),
% 54.30/34.48 inference(transitivity,[status(thm)],[19219, 19217])).
% 54.30/34.48 tff(19221,plain,
% 54.30/34.48 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB104, 0)) | (~v100(constB104)) | v129(constB104, 0))),
% 54.30/34.48 inference(quant_inst,[status(thm)],[])).
% 54.30/34.48 tff(19222,plain,
% 54.30/34.48 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB104, 0)) | v129(constB104, 0) | (~v100(constB104))),
% 54.30/34.48 inference(modus_ponens,[status(thm)],[19221, 19220])).
% 54.30/34.48 tff(19223,plain,
% 54.30/34.48 (v129(constB104, 0) | (~v100(constB104))),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[19222, 1704, 19216])).
% 54.30/34.48 tff(19224,plain,
% 54.30/34.48 (~v100(constB104)),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[19223, 19215])).
% 54.30/34.48 tff(19225,plain,
% 54.30/34.48 (~v110(constB104)),
% 54.30/34.48 inference(unit_resolution,[status(thm)],[18621, 19224])).
% 54.30/34.48 tff(19226,plain,
% 54.30/34.48 (~v108(constB103)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[18629, 19225])).
% 54.30/34.49 tff(19227,plain,
% 54.30/34.49 (~v112(constB103)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[18636, 1075, 19226])).
% 54.30/34.49 tff(19228,plain,
% 54.30/34.49 (~v113(constB103)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[18644, 19227])).
% 54.30/34.49 tff(19229,plain,
% 54.30/34.49 ($false),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[18648, 1049, 19228, 19198])).
% 54.30/34.49 tff(19230,plain,((~v122(constB103)) | (~v90(constB104, 0))), inference(lemma,lemma(discharge,[]))).
% 54.30/34.49 tff(19231,plain,
% 54.30/34.49 (~v90(constB104, 0)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[19230, 18574])).
% 54.30/34.49 tff(19232,plain,
% 54.30/34.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB104, 0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB104, 0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, 0)))),
% 54.30/34.49 inference(rewrite,[status(thm)],[])).
% 54.30/34.49 tff(19233,plain,
% 54.30/34.49 (((~nextState(constB104, constB105)) | v90(constB104, 0) | v100(constB105) | (~v90(constB105, 0))) <=> (v90(constB104, 0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, 0)))),
% 54.30/34.49 inference(rewrite,[status(thm)],[])).
% 54.30/34.49 tff(19234,plain,
% 54.30/34.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB104, constB105)) | v90(constB104, 0) | v100(constB105) | (~v90(constB105, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB104, 0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, 0))))),
% 54.30/34.49 inference(monotonicity,[status(thm)],[19233])).
% 54.30/34.49 tff(19235,plain,
% 54.30/34.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB104, constB105)) | v90(constB104, 0) | v100(constB105) | (~v90(constB105, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB104, 0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, 0)))),
% 54.30/34.49 inference(transitivity,[status(thm)],[19234, 19232])).
% 54.30/34.49 tff(19236,plain,
% 54.30/34.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB104, constB105)) | v90(constB104, 0) | v100(constB105) | (~v90(constB105, 0)))),
% 54.30/34.49 inference(quant_inst,[status(thm)],[])).
% 54.30/34.49 tff(19237,plain,
% 54.30/34.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB104, 0) | (~nextState(constB104, constB105)) | v100(constB105) | (~v90(constB105, 0))),
% 54.30/34.49 inference(modus_ponens,[status(thm)],[19236, 19235])).
% 54.30/34.49 tff(19238,plain,
% 54.30/34.49 (v90(constB104, 0) | v100(constB105) | (~v90(constB105, 0))),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[19237, 947, 19142])).
% 54.30/34.49 tff(19239,plain,
% 54.30/34.49 (v90(constB104, 0) | (~v90(constB105, 0))),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[19238, 19154])).
% 54.30/34.49 tff(19240,plain,
% 54.30/34.49 (~v90(constB105, 0)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[19239, 19231])).
% 54.30/34.49 tff(19241,plain,
% 54.30/34.49 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB105, 0) | v90(constB105, 1) | (~v90(constB105, 2)) | v123(constB105))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB105, 0) | v90(constB105, 1) | (~v90(constB105, 2)) | v123(constB105))),
% 54.30/34.49 inference(rewrite,[status(thm)],[])).
% 54.30/34.49 tff(19242,plain,
% 54.30/34.49 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB105, 0) | v90(constB105, 1) | (~v90(constB105, 2)) | v123(constB105))),
% 54.30/34.49 inference(quant_inst,[status(thm)],[])).
% 54.30/34.49 tff(19243,plain,
% 54.30/34.49 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB105, 0) | v90(constB105, 1) | (~v90(constB105, 2)) | v123(constB105)),
% 54.30/34.49 inference(modus_ponens,[status(thm)],[19242, 19241])).
% 54.30/34.49 tff(19244,plain,
% 54.30/34.49 (v90(constB105, 1) | (~v90(constB105, 2)) | v123(constB105)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[19243, 2308, 19240])).
% 54.30/34.49 tff(19245,plain,
% 54.30/34.49 (v123(constB105)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[19244, 19194, 19163])).
% 54.30/34.49 tff(19246,plain,
% 54.30/34.49 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB105) | (~v123(constB105)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB105) | (~v123(constB105)))),
% 54.30/34.49 inference(rewrite,[status(thm)],[])).
% 54.30/34.49 tff(19247,plain,
% 54.30/34.49 (((~v123(constB105)) | v115(constB105)) <=> (v115(constB105) | (~v123(constB105)))),
% 54.30/34.49 inference(rewrite,[status(thm)],[])).
% 54.30/34.49 tff(19248,plain,
% 54.30/34.49 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB105)) | v115(constB105))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB105) | (~v123(constB105))))),
% 54.30/34.49 inference(monotonicity,[status(thm)],[19247])).
% 54.30/34.49 tff(19249,plain,
% 54.30/34.49 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB105)) | v115(constB105))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB105) | (~v123(constB105)))),
% 54.30/34.49 inference(transitivity,[status(thm)],[19248, 19246])).
% 54.30/34.49 tff(19250,plain,
% 54.30/34.49 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB105)) | v115(constB105))),
% 54.30/34.49 inference(quant_inst,[status(thm)],[])).
% 54.30/34.49 tff(19251,plain,
% 54.30/34.49 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB105) | (~v123(constB105))),
% 54.30/34.49 inference(modus_ponens,[status(thm)],[19250, 19249])).
% 54.30/34.49 tff(19252,plain,
% 54.30/34.49 (v115(constB105)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[19251, 2291, 19245])).
% 54.30/34.49 tff(19253,plain,
% 54.30/34.49 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB105) | (~v115(constB105)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB105) | (~v115(constB105)))),
% 54.30/34.49 inference(rewrite,[status(thm)],[])).
% 54.30/34.49 tff(19254,plain,
% 54.30/34.49 (((~v115(constB105)) | v114(constB105)) <=> (v114(constB105) | (~v115(constB105)))),
% 54.30/34.49 inference(rewrite,[status(thm)],[])).
% 54.30/34.49 tff(19255,plain,
% 54.30/34.49 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB105)) | v114(constB105))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB105) | (~v115(constB105))))),
% 54.30/34.49 inference(monotonicity,[status(thm)],[19254])).
% 54.30/34.49 tff(19256,plain,
% 54.30/34.49 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB105)) | v114(constB105))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB105) | (~v115(constB105)))),
% 54.30/34.49 inference(transitivity,[status(thm)],[19255, 19253])).
% 54.30/34.49 tff(19257,plain,
% 54.30/34.49 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB105)) | v114(constB105))),
% 54.30/34.49 inference(quant_inst,[status(thm)],[])).
% 54.30/34.49 tff(19258,plain,
% 54.30/34.49 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB105) | (~v115(constB105))),
% 54.30/34.49 inference(modus_ponens,[status(thm)],[19257, 19256])).
% 54.30/34.49 tff(19259,plain,
% 54.30/34.49 (v114(constB105)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[19258, 1035, 19252])).
% 54.30/34.49 tff(19260,plain,
% 54.30/34.49 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB105)) | v113(constB105))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB105)) | v113(constB105))),
% 54.30/34.49 inference(rewrite,[status(thm)],[])).
% 54.30/34.49 tff(19261,plain,
% 54.30/34.49 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB105)) | v113(constB105))),
% 54.30/34.49 inference(quant_inst,[status(thm)],[])).
% 54.30/34.49 tff(19262,plain,
% 54.30/34.49 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB105)) | v113(constB105)),
% 54.30/34.49 inference(modus_ponens,[status(thm)],[19261, 19260])).
% 54.30/34.49 tff(19263,plain,
% 54.30/34.49 (v113(constB105)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[19262, 1049, 19259])).
% 54.30/34.49 tff(19264,assumption,(v26(constB105)), introduced(assumption)).
% 54.30/34.49 tff(19265,plain,
% 54.30/34.49 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB105))),
% 54.30/34.49 inference(quant_inst,[status(thm)],[])).
% 54.30/34.49 tff(19266,plain,
% 54.30/34.49 ($false),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[19265, 828, 19264])).
% 54.30/34.49 tff(19267,plain,(~v26(constB105)), inference(lemma,lemma(discharge,[]))).
% 54.30/34.49 tff(19268,plain,
% 54.30/34.49 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB105) | (~v113(constB105)) | v112(constB105))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB105) | (~v113(constB105)) | v112(constB105))),
% 54.30/34.49 inference(rewrite,[status(thm)],[])).
% 54.30/34.49 tff(19269,plain,
% 54.30/34.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB105) | (~v113(constB105)) | v112(constB105))),
% 54.30/34.49 inference(quant_inst,[status(thm)],[])).
% 54.30/34.49 tff(19270,plain,
% 54.30/34.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB105) | (~v113(constB105)) | v112(constB105)),
% 54.30/34.49 inference(modus_ponens,[status(thm)],[19269, 19268])).
% 54.30/34.49 tff(19271,plain,
% 54.30/34.49 ((~v113(constB105)) | v112(constB105)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[19270, 1063, 19267])).
% 54.30/34.49 tff(19272,plain,
% 54.30/34.49 (v112(constB105)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[19271, 19263])).
% 54.30/34.49 tff(19273,plain,
% 54.30/34.49 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB105) | (~v112(constB105)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB105) | (~v112(constB105)))),
% 54.30/34.49 inference(rewrite,[status(thm)],[])).
% 54.30/34.49 tff(19274,plain,
% 54.30/34.49 (((~v112(constB105)) | v108(constB105)) <=> (v108(constB105) | (~v112(constB105)))),
% 54.30/34.49 inference(rewrite,[status(thm)],[])).
% 54.30/34.49 tff(19275,plain,
% 54.30/34.49 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB105)) | v108(constB105))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB105) | (~v112(constB105))))),
% 54.30/34.49 inference(monotonicity,[status(thm)],[19274])).
% 54.30/34.49 tff(19276,plain,
% 54.30/34.49 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB105)) | v108(constB105))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB105) | (~v112(constB105)))),
% 54.30/34.49 inference(transitivity,[status(thm)],[19275, 19273])).
% 54.30/34.49 tff(19277,plain,
% 54.30/34.49 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB105)) | v108(constB105))),
% 54.30/34.49 inference(quant_inst,[status(thm)],[])).
% 54.30/34.49 tff(19278,plain,
% 54.30/34.49 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB105) | (~v112(constB105))),
% 54.30/34.49 inference(modus_ponens,[status(thm)],[19277, 19276])).
% 54.30/34.49 tff(19279,plain,
% 54.30/34.49 (v108(constB105)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[19278, 1075, 19272])).
% 54.30/34.49 tff(19280,plain,
% 54.30/34.49 (nextState(constB105, constB106) <=> nextState(constB105, constB106)),
% 54.30/34.49 inference(rewrite,[status(thm)],[])).
% 54.30/34.49 tff(19281,axiom,(nextState(constB105, constB106)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_105_1')).
% 54.30/34.49 tff(19282,plain,
% 54.30/34.49 (nextState(constB105, constB106)),
% 54.30/34.49 inference(modus_ponens,[status(thm)],[19281, 19280])).
% 54.30/34.49 tff(19283,plain,
% 54.30/34.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105)))),
% 54.30/34.49 inference(rewrite,[status(thm)],[])).
% 54.30/34.49 tff(19284,plain,
% 54.30/34.49 (((~nextState(constB105, constB106)) | (~v108(constB105)) | v110(constB106)) <=> ((~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105)))),
% 54.30/34.49 inference(rewrite,[status(thm)],[])).
% 54.30/34.49 tff(19285,plain,
% 54.30/34.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB105, constB106)) | (~v108(constB105)) | v110(constB106))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105))))),
% 54.30/34.49 inference(monotonicity,[status(thm)],[19284])).
% 54.30/34.49 tff(19286,plain,
% 54.30/34.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB105, constB106)) | (~v108(constB105)) | v110(constB106))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105)))),
% 54.30/34.49 inference(transitivity,[status(thm)],[19285, 19283])).
% 54.30/34.49 tff(19287,plain,
% 54.30/34.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB105, constB106)) | (~v108(constB105)) | v110(constB106))),
% 54.30/34.49 inference(quant_inst,[status(thm)],[])).
% 54.30/34.49 tff(19288,plain,
% 54.30/34.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB105, constB106)) | v110(constB106) | (~v108(constB105))),
% 54.30/34.49 inference(modus_ponens,[status(thm)],[19287, 19286])).
% 54.30/34.49 tff(19289,plain,
% 54.30/34.49 (v110(constB106) | (~v108(constB105))),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[19288, 1095, 19282])).
% 54.30/34.49 tff(19290,plain,
% 54.30/34.49 (v110(constB106)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[19289, 19279])).
% 54.30/34.49 tff(19291,plain,
% 54.30/34.49 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB105) | (~nextState(constB105, constB106)) | (~v104(constB106)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB105) | (~nextState(constB105, constB106)) | (~v104(constB106)))),
% 54.30/34.49 inference(rewrite,[status(thm)],[])).
% 54.30/34.49 tff(19292,plain,
% 54.30/34.49 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB105) | (~nextState(constB105, constB106)) | (~v104(constB106)))),
% 54.30/34.49 inference(quant_inst,[status(thm)],[])).
% 54.30/34.49 tff(19293,plain,
% 54.30/34.49 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB105) | (~nextState(constB105, constB106)) | (~v104(constB106))),
% 54.30/34.49 inference(modus_ponens,[status(thm)],[19292, 19291])).
% 54.30/34.49 tff(19294,plain,
% 54.30/34.49 (~v104(constB106)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[19293, 1113, 19282, 19139])).
% 54.30/34.49 tff(19295,plain,
% 54.30/34.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB105, constB106)) | v102(constB106) | v104(constB106))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB105, constB106)) | v102(constB106) | v104(constB106))),
% 54.30/34.49 inference(rewrite,[status(thm)],[])).
% 54.30/34.49 tff(19296,plain,
% 54.30/34.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB105, constB106)) | v102(constB106) | v104(constB106))),
% 54.30/34.49 inference(quant_inst,[status(thm)],[])).
% 54.30/34.49 tff(19297,plain,
% 54.30/34.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB105, constB106)) | v102(constB106) | v104(constB106)),
% 54.30/34.49 inference(modus_ponens,[status(thm)],[19296, 19295])).
% 54.30/34.49 tff(19298,plain,
% 54.30/34.49 (v102(constB106) | v104(constB106)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[19297, 1127, 19282])).
% 54.30/34.49 tff(19299,plain,
% 54.30/34.49 (v102(constB106)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[19298, 19294])).
% 54.30/34.49 tff(19300,plain,
% 54.30/34.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB105, constB106)) | v101(constB106) | (~v102(constB106)) | (~v1(constB106)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB105, constB106)) | v101(constB106) | (~v102(constB106)) | (~v1(constB106)))),
% 54.30/34.49 inference(rewrite,[status(thm)],[])).
% 54.30/34.49 tff(19301,plain,
% 54.30/34.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB105, constB106)) | v101(constB106) | (~v102(constB106)) | (~v1(constB106)))),
% 54.30/34.49 inference(quant_inst,[status(thm)],[])).
% 54.30/34.49 tff(19302,plain,
% 54.30/34.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB105, constB106)) | v101(constB106) | (~v102(constB106)) | (~v1(constB106))),
% 54.30/34.49 inference(modus_ponens,[status(thm)],[19301, 19300])).
% 54.30/34.49 tff(19303,plain,
% 54.30/34.49 (v101(constB106) | (~v102(constB106))),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[19302, 1145, 19282, 200])).
% 54.30/34.49 tff(19304,plain,
% 54.30/34.49 (v101(constB106)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[19303, 19299])).
% 54.30/34.49 tff(19305,plain,
% 54.30/34.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106)))),
% 54.30/34.49 inference(rewrite,[status(thm)],[])).
% 54.30/34.49 tff(19306,plain,
% 54.30/34.49 (((~nextState(constB105, constB106)) | (~v101(constB106)) | (~v110(constB106)) | v100(constB106)) <=> ((~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106)))),
% 54.30/34.49 inference(rewrite,[status(thm)],[])).
% 54.30/34.49 tff(19307,plain,
% 54.30/34.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB105, constB106)) | (~v101(constB106)) | (~v110(constB106)) | v100(constB106))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106))))),
% 54.30/34.49 inference(monotonicity,[status(thm)],[19306])).
% 54.30/34.49 tff(19308,plain,
% 54.30/34.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB105, constB106)) | (~v101(constB106)) | (~v110(constB106)) | v100(constB106))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106)))),
% 54.30/34.49 inference(transitivity,[status(thm)],[19307, 19305])).
% 54.30/34.49 tff(19309,plain,
% 54.30/34.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB105, constB106)) | (~v101(constB106)) | (~v110(constB106)) | v100(constB106))),
% 54.30/34.49 inference(quant_inst,[status(thm)],[])).
% 54.30/34.49 tff(19310,plain,
% 54.30/34.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB105, constB106)) | v100(constB106) | (~v101(constB106)) | (~v110(constB106))),
% 54.30/34.49 inference(modus_ponens,[status(thm)],[19309, 19308])).
% 54.30/34.49 tff(19311,plain,
% 54.30/34.49 (v100(constB106) | (~v101(constB106)) | (~v110(constB106))),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[19310, 1160, 19282])).
% 54.30/34.49 tff(19312,plain,
% 54.30/34.49 (v100(constB106) | (~v110(constB106))),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[19311, 19304])).
% 54.30/34.49 tff(19313,plain,
% 54.30/34.49 (v100(constB106)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[19312, 19290])).
% 54.30/34.49 tff(19314,plain,
% 54.30/34.49 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB105)) | v130(constB105, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB105)) | v130(constB105, 0))),
% 54.30/34.49 inference(rewrite,[status(thm)],[])).
% 54.30/34.49 tff(19315,plain,
% 54.30/34.49 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB105)) | v130(constB105, 0))),
% 54.30/34.49 inference(quant_inst,[status(thm)],[])).
% 54.30/34.49 tff(19316,plain,
% 54.30/34.49 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB105)) | v130(constB105, 0)),
% 54.30/34.49 inference(modus_ponens,[status(thm)],[19315, 19314])).
% 54.30/34.49 tff(19317,plain,
% 54.30/34.49 (v130(constB105, 0)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[19316, 2622, 19245])).
% 54.30/34.49 tff(19318,plain,
% 54.30/34.49 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB105) | (~v130(constB105, 0)) | v127(constB105, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB105) | (~v130(constB105, 0)) | v127(constB105, 0))),
% 54.30/34.49 inference(rewrite,[status(thm)],[])).
% 54.30/34.49 tff(19319,plain,
% 54.30/34.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB105) | (~v130(constB105, 0)) | v127(constB105, 0))),
% 54.30/34.49 inference(quant_inst,[status(thm)],[])).
% 54.30/34.49 tff(19320,plain,
% 54.30/34.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB105) | (~v130(constB105, 0)) | v127(constB105, 0)),
% 54.30/34.49 inference(modus_ponens,[status(thm)],[19319, 19318])).
% 54.30/34.49 tff(19321,plain,
% 54.30/34.49 ((~v130(constB105, 0)) | v127(constB105, 0)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[19320, 1347, 19267])).
% 54.30/34.49 tff(19322,plain,
% 54.30/34.49 (v127(constB105, 0)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[19321, 19317])).
% 54.30/34.49 tff(19323,plain,
% 54.30/34.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB105, constB106)) | (~v127(constB105, 0)) | v129(constB106, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB105, constB106)) | (~v127(constB105, 0)) | v129(constB106, 0))),
% 54.30/34.49 inference(rewrite,[status(thm)],[])).
% 54.30/34.49 tff(19324,plain,
% 54.30/34.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB105, constB106)) | (~v127(constB105, 0)) | v129(constB106, 0))),
% 54.30/34.49 inference(quant_inst,[status(thm)],[])).
% 54.30/34.49 tff(19325,plain,
% 54.30/34.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB105, constB106)) | (~v127(constB105, 0)) | v129(constB106, 0)),
% 54.30/34.49 inference(modus_ponens,[status(thm)],[19324, 19323])).
% 54.30/34.49 tff(19326,plain,
% 54.30/34.49 ((~v127(constB105, 0)) | v129(constB106, 0)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[19325, 1362, 19282])).
% 54.30/34.49 tff(19327,plain,
% 54.30/34.49 (v129(constB106, 0)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[19326, 19322])).
% 54.30/34.49 tff(19328,plain,
% 54.30/34.49 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB106, 0) | (~v129(constB106, 0)) | (~v100(constB106)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB106, 0) | (~v129(constB106, 0)) | (~v100(constB106)))),
% 54.30/34.49 inference(rewrite,[status(thm)],[])).
% 54.30/34.49 tff(19329,plain,
% 54.30/34.49 ((v90(constB106, 0) | (~v100(constB106)) | (~v129(constB106, 0))) <=> (v90(constB106, 0) | (~v129(constB106, 0)) | (~v100(constB106)))),
% 54.30/34.49 inference(rewrite,[status(thm)],[])).
% 54.30/34.49 tff(19330,plain,
% 54.30/34.49 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB106, 0) | (~v100(constB106)) | (~v129(constB106, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB106, 0) | (~v129(constB106, 0)) | (~v100(constB106))))),
% 54.30/34.49 inference(monotonicity,[status(thm)],[19329])).
% 54.30/34.49 tff(19331,plain,
% 54.30/34.49 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB106, 0) | (~v100(constB106)) | (~v129(constB106, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB106, 0) | (~v129(constB106, 0)) | (~v100(constB106)))),
% 54.30/34.49 inference(transitivity,[status(thm)],[19330, 19328])).
% 54.30/34.49 tff(19332,plain,
% 54.30/34.49 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB106, 0) | (~v100(constB106)) | (~v129(constB106, 0)))),
% 54.30/34.49 inference(quant_inst,[status(thm)],[])).
% 54.30/34.49 tff(19333,plain,
% 54.30/34.49 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB106, 0) | (~v129(constB106, 0)) | (~v100(constB106))),
% 54.30/34.49 inference(modus_ponens,[status(thm)],[19332, 19331])).
% 54.30/34.49 tff(19334,plain,
% 54.30/34.49 (v90(constB106, 0) | (~v100(constB106))),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[19333, 1377, 19327])).
% 54.30/34.49 tff(19335,plain,
% 54.30/34.49 (v90(constB106, 0)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[19334, 19313])).
% 54.30/34.49 tff(19336,plain,
% 54.30/34.49 ((~v1(constB107)) <=> (~v1(constB107))),
% 54.30/34.49 inference(rewrite,[status(thm)],[])).
% 54.30/34.49 tff(19337,axiom,(~v1(constB107)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_107_1_1')).
% 54.30/34.49 tff(19338,plain,
% 54.30/34.49 (~v1(constB107)),
% 54.30/34.49 inference(modus_ponens,[status(thm)],[19337, 19336])).
% 54.30/34.49 tff(19339,plain,
% 54.30/34.49 (nextState(constB106, constB107) <=> nextState(constB106, constB107)),
% 54.30/34.49 inference(rewrite,[status(thm)],[])).
% 54.30/34.49 tff(19340,axiom,(nextState(constB106, constB107)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_106_1')).
% 54.30/34.49 tff(19341,plain,
% 54.30/34.49 (nextState(constB106, constB107)),
% 54.30/34.49 inference(modus_ponens,[status(thm)],[19340, 19339])).
% 54.30/34.49 tff(19342,plain,
% 54.30/34.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107)))),
% 54.30/34.49 inference(rewrite,[status(thm)],[])).
% 54.30/34.49 tff(19343,plain,
% 54.30/34.49 (((~nextState(constB106, constB107)) | (~v101(constB107)) | v1(constB107)) <=> (v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107)))),
% 54.30/34.49 inference(rewrite,[status(thm)],[])).
% 54.30/34.49 tff(19344,plain,
% 54.30/34.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB106, constB107)) | (~v101(constB107)) | v1(constB107))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107))))),
% 54.30/34.49 inference(monotonicity,[status(thm)],[19343])).
% 54.30/34.49 tff(19345,plain,
% 54.30/34.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB106, constB107)) | (~v101(constB107)) | v1(constB107))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107)))),
% 54.30/34.49 inference(transitivity,[status(thm)],[19344, 19342])).
% 54.30/34.49 tff(19346,plain,
% 54.30/34.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB106, constB107)) | (~v101(constB107)) | v1(constB107))),
% 54.30/34.49 inference(quant_inst,[status(thm)],[])).
% 54.30/34.49 tff(19347,plain,
% 54.30/34.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB107) | (~nextState(constB106, constB107)) | (~v101(constB107))),
% 54.30/34.49 inference(modus_ponens,[status(thm)],[19346, 19345])).
% 54.30/34.49 tff(19348,plain,
% 54.30/34.49 (~v101(constB107)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[19347, 873, 19341, 19338])).
% 54.30/34.49 tff(19349,plain,
% 54.30/34.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB106, constB107)) | v101(constB107) | (~v100(constB107)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB106, constB107)) | v101(constB107) | (~v100(constB107)))),
% 54.30/34.49 inference(rewrite,[status(thm)],[])).
% 54.30/34.49 tff(19350,plain,
% 54.30/34.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB106, constB107)) | v101(constB107) | (~v100(constB107)))),
% 54.30/34.49 inference(quant_inst,[status(thm)],[])).
% 54.30/34.49 tff(19351,plain,
% 54.30/34.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB106, constB107)) | v101(constB107) | (~v100(constB107))),
% 54.30/34.49 inference(modus_ponens,[status(thm)],[19350, 19349])).
% 54.30/34.49 tff(19352,plain,
% 54.30/34.49 (v101(constB107) | (~v100(constB107))),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[19351, 890, 19341])).
% 54.30/34.49 tff(19353,plain,
% 54.30/34.49 (~v100(constB107)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[19352, 19348])).
% 54.30/34.49 tff(19354,plain,
% 54.30/34.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB106, 0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB106, 0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, 0))),
% 54.30/34.49 inference(rewrite,[status(thm)],[])).
% 54.30/34.49 tff(19355,plain,
% 54.30/34.49 (((~nextState(constB106, constB107)) | (~v90(constB106, 0)) | v100(constB107) | v90(constB107, 0)) <=> ((~v90(constB106, 0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, 0))),
% 54.30/34.49 inference(rewrite,[status(thm)],[])).
% 54.30/34.49 tff(19356,plain,
% 54.30/34.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB106, constB107)) | (~v90(constB106, 0)) | v100(constB107) | v90(constB107, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB106, 0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, 0)))),
% 54.30/34.49 inference(monotonicity,[status(thm)],[19355])).
% 54.30/34.49 tff(19357,plain,
% 54.30/34.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB106, constB107)) | (~v90(constB106, 0)) | v100(constB107) | v90(constB107, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB106, 0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, 0))),
% 54.30/34.49 inference(transitivity,[status(thm)],[19356, 19354])).
% 54.30/34.49 tff(19358,plain,
% 54.30/34.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB106, constB107)) | (~v90(constB106, 0)) | v100(constB107) | v90(constB107, 0))),
% 54.30/34.49 inference(quant_inst,[status(thm)],[])).
% 54.30/34.49 tff(19359,plain,
% 54.30/34.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB106, 0)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, 0)),
% 54.30/34.49 inference(modus_ponens,[status(thm)],[19358, 19357])).
% 54.30/34.49 tff(19360,plain,
% 54.30/34.49 ((~v90(constB106, 0)) | v100(constB107) | v90(constB107, 0)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[19359, 1395, 19341])).
% 54.30/34.49 tff(19361,plain,
% 54.30/34.49 ((~v90(constB106, 0)) | v90(constB107, 0)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[19360, 19353])).
% 54.30/34.49 tff(19362,plain,
% 54.30/34.49 (v90(constB107, 0)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[19361, 19335])).
% 54.30/34.49 tff(19363,plain,
% 54.30/34.49 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB105)) | (~v130(constB105, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB105)) | (~v130(constB105, 1)))),
% 54.30/34.49 inference(rewrite,[status(thm)],[])).
% 54.30/34.49 tff(19364,plain,
% 54.30/34.49 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB105)) | (~v130(constB105, 1)))),
% 54.30/34.49 inference(quant_inst,[status(thm)],[])).
% 54.30/34.49 tff(19365,plain,
% 54.30/34.49 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB105)) | (~v130(constB105, 1))),
% 54.30/34.49 inference(modus_ponens,[status(thm)],[19364, 19363])).
% 54.30/34.49 tff(19366,plain,
% 54.30/34.49 (~v130(constB105, 1)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[19365, 2581, 19245])).
% 54.30/34.49 tff(19367,plain,
% 54.30/34.49 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB105, 1)) | v26(constB105) | v130(constB105, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB105, 1)) | v26(constB105) | v130(constB105, 1))),
% 54.30/34.49 inference(rewrite,[status(thm)],[])).
% 54.30/34.49 tff(19368,plain,
% 54.30/34.49 ((v26(constB105) | v130(constB105, 1) | (~v127(constB105, 1))) <=> ((~v127(constB105, 1)) | v26(constB105) | v130(constB105, 1))),
% 54.30/34.49 inference(rewrite,[status(thm)],[])).
% 54.30/34.49 tff(19369,plain,
% 54.30/34.49 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB105) | v130(constB105, 1) | (~v127(constB105, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB105, 1)) | v26(constB105) | v130(constB105, 1)))),
% 54.30/34.49 inference(monotonicity,[status(thm)],[19368])).
% 54.30/34.49 tff(19370,plain,
% 54.30/34.49 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB105) | v130(constB105, 1) | (~v127(constB105, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB105, 1)) | v26(constB105) | v130(constB105, 1))),
% 54.30/34.49 inference(transitivity,[status(thm)],[19369, 19367])).
% 54.30/34.49 tff(19371,plain,
% 54.30/34.49 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB105) | v130(constB105, 1) | (~v127(constB105, 1)))),
% 54.30/34.49 inference(quant_inst,[status(thm)],[])).
% 54.30/34.49 tff(19372,plain,
% 54.30/34.49 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB105, 1)) | v26(constB105) | v130(constB105, 1)),
% 54.30/34.49 inference(modus_ponens,[status(thm)],[19371, 19370])).
% 54.30/34.49 tff(19373,plain,
% 54.30/34.49 ((~v127(constB105, 1)) | v130(constB105, 1)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[19372, 1276, 19267])).
% 54.30/34.49 tff(19374,plain,
% 54.30/34.49 (~v127(constB105, 1)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[19373, 19366])).
% 54.30/34.49 tff(19375,plain,
% 54.30/34.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB105, constB106)) | v127(constB105, 1) | (~v129(constB106, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB105, constB106)) | v127(constB105, 1) | (~v129(constB106, 1)))),
% 54.30/34.49 inference(rewrite,[status(thm)],[])).
% 54.30/34.49 tff(19376,plain,
% 54.30/34.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB105, constB106)) | v127(constB105, 1) | (~v129(constB106, 1)))),
% 54.30/34.49 inference(quant_inst,[status(thm)],[])).
% 54.30/34.49 tff(19377,plain,
% 54.30/34.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB105, constB106)) | v127(constB105, 1) | (~v129(constB106, 1))),
% 54.30/34.49 inference(modus_ponens,[status(thm)],[19376, 19375])).
% 54.30/34.49 tff(19378,plain,
% 54.30/34.49 (v127(constB105, 1) | (~v129(constB106, 1))),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[19377, 1294, 19282])).
% 54.30/34.49 tff(19379,plain,
% 54.30/34.49 (~v129(constB106, 1)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[19378, 19374])).
% 54.30/34.49 tff(19380,plain,
% 54.30/34.49 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB106, 1)) | v129(constB106, 1) | (~v100(constB106)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB106, 1)) | v129(constB106, 1) | (~v100(constB106)))),
% 54.30/34.49 inference(rewrite,[status(thm)],[])).
% 54.30/34.49 tff(19381,plain,
% 54.30/34.49 (((~v90(constB106, 1)) | (~v100(constB106)) | v129(constB106, 1)) <=> ((~v90(constB106, 1)) | v129(constB106, 1) | (~v100(constB106)))),
% 54.30/34.49 inference(rewrite,[status(thm)],[])).
% 54.30/34.49 tff(19382,plain,
% 54.30/34.49 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB106, 1)) | (~v100(constB106)) | v129(constB106, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB106, 1)) | v129(constB106, 1) | (~v100(constB106))))),
% 54.30/34.49 inference(monotonicity,[status(thm)],[19381])).
% 54.30/34.49 tff(19383,plain,
% 54.30/34.49 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB106, 1)) | (~v100(constB106)) | v129(constB106, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB106, 1)) | v129(constB106, 1) | (~v100(constB106)))),
% 54.30/34.49 inference(transitivity,[status(thm)],[19382, 19380])).
% 54.30/34.49 tff(19384,plain,
% 54.30/34.49 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB106, 1)) | (~v100(constB106)) | v129(constB106, 1))),
% 54.30/34.49 inference(quant_inst,[status(thm)],[])).
% 54.30/34.49 tff(19385,plain,
% 54.30/34.49 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB106, 1)) | v129(constB106, 1) | (~v100(constB106))),
% 54.30/34.49 inference(modus_ponens,[status(thm)],[19384, 19383])).
% 54.30/34.49 tff(19386,plain,
% 54.30/34.49 ((~v90(constB106, 1)) | (~v100(constB106))),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[19385, 1309, 19379])).
% 54.30/34.49 tff(19387,plain,
% 54.30/34.49 (~v90(constB106, 1)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[19386, 19313])).
% 54.30/34.49 tff(19388,plain,
% 54.30/34.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB106, 1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB106, 1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, 1)))),
% 54.30/34.49 inference(rewrite,[status(thm)],[])).
% 54.30/34.49 tff(19389,plain,
% 54.30/34.49 (((~nextState(constB106, constB107)) | v90(constB106, 1) | v100(constB107) | (~v90(constB107, 1))) <=> (v90(constB106, 1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, 1)))),
% 54.30/34.49 inference(rewrite,[status(thm)],[])).
% 54.30/34.49 tff(19390,plain,
% 54.30/34.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB106, constB107)) | v90(constB106, 1) | v100(constB107) | (~v90(constB107, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB106, 1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, 1))))),
% 54.30/34.49 inference(monotonicity,[status(thm)],[19389])).
% 54.30/34.49 tff(19391,plain,
% 54.30/34.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB106, constB107)) | v90(constB106, 1) | v100(constB107) | (~v90(constB107, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB106, 1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, 1)))),
% 54.30/34.49 inference(transitivity,[status(thm)],[19390, 19388])).
% 54.30/34.49 tff(19392,plain,
% 54.30/34.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB106, constB107)) | v90(constB106, 1) | v100(constB107) | (~v90(constB107, 1)))),
% 54.30/34.49 inference(quant_inst,[status(thm)],[])).
% 54.30/34.49 tff(19393,plain,
% 54.30/34.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB106, 1) | (~nextState(constB106, constB107)) | v100(constB107) | (~v90(constB107, 1))),
% 54.30/34.49 inference(modus_ponens,[status(thm)],[19392, 19391])).
% 54.30/34.49 tff(19394,plain,
% 54.30/34.49 (v90(constB106, 1) | v100(constB107) | (~v90(constB107, 1))),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[19393, 926, 19341])).
% 54.30/34.49 tff(19395,plain,
% 54.30/34.49 (v90(constB106, 1) | (~v90(constB107, 1))),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[19394, 19353])).
% 54.30/34.49 tff(19396,plain,
% 54.30/34.49 (~v90(constB107, 1)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[19395, 19387])).
% 54.30/34.49 tff(19397,assumption,(v120(constB99)), introduced(assumption)).
% 54.30/34.49 tff(19398,plain,
% 54.30/34.49 (v118(constB99)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[18140, 1425, 19397])).
% 54.30/34.49 tff(19399,plain,
% 54.30/34.49 (v117(constB99)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[18147, 993, 19398])).
% 54.30/34.49 tff(19400,plain,
% 54.30/34.49 (v116(constB99)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[18154, 1007, 19399])).
% 54.30/34.49 tff(19401,plain,
% 54.30/34.49 (v115(constB99)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[18161, 1021, 19400])).
% 54.30/34.49 tff(19402,plain,
% 54.30/34.49 (v114(constB99)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[18168, 1035, 19401])).
% 54.30/34.49 tff(19403,plain,
% 54.30/34.49 (v113(constB99)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[18175, 1049, 19402])).
% 54.30/34.49 tff(19404,plain,
% 54.30/34.49 (~v90(constB100, 0)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[18259, 19403, 18191])).
% 54.30/34.49 tff(19405,plain,
% 54.30/34.49 (v100(constB100)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[18267, 19404, 18965])).
% 54.30/34.49 tff(19406,plain,
% 54.30/34.49 (~v130(constB99, 2)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[18271, 1523, 19397])).
% 54.30/34.49 tff(19407,plain,
% 54.30/34.49 (~v127(constB99, 2)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[18279, 19406])).
% 54.30/34.49 tff(19408,plain,
% 54.30/34.49 (~v129(constB100, 2)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[18284, 19407])).
% 54.30/34.49 tff(19409,plain,
% 54.30/34.49 ((~v90(constB100, 2)) | (~v100(constB100))),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[18288, 1223, 19408])).
% 54.30/34.49 tff(19410,plain,
% 54.30/34.49 (~v90(constB100, 2)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[19409, 19405])).
% 54.30/34.49 tff(19411,plain,
% 54.30/34.49 (~v90(constB101, 2)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[18316, 19410])).
% 54.30/34.49 tff(19412,plain,
% 54.30/34.49 (v130(constB99, 1)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[18320, 1579, 19397])).
% 54.30/34.49 tff(19413,plain,
% 54.30/34.49 (v127(constB99, 1)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[18325, 19412])).
% 54.30/34.49 tff(19414,plain,
% 54.30/34.49 (v129(constB100, 1)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[18330, 19413])).
% 54.30/34.49 tff(19415,plain,
% 54.30/34.49 (v90(constB100, 1) | (~v100(constB100))),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[18337, 1623, 19414])).
% 54.30/34.49 tff(19416,plain,
% 54.30/34.49 (v90(constB100, 1)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[19415, 19405])).
% 54.30/34.49 tff(19417,plain,
% 54.30/34.49 (v90(constB101, 1)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[18347, 19416])).
% 54.30/34.49 tff(19418,plain,
% 54.30/34.49 (~v90(constB101, 0)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[18356, 19404])).
% 54.30/34.49 tff(19419,plain,
% 54.30/34.49 (v121(constB101)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[18360, 1731, 19418, 19417, 19411])).
% 54.30/34.49 tff(19420,plain,
% 54.30/34.49 (v130(constB101, 1)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[18364, 1877, 19419])).
% 54.30/34.49 tff(19421,plain,
% 54.30/34.49 (v127(constB101, 1)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[18373, 19420])).
% 54.30/34.49 tff(19422,plain,
% 54.30/34.49 (v129(constB102, 1)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[18381, 19421])).
% 54.30/34.49 tff(19423,plain,
% 54.30/34.49 (v90(constB102, 0)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[18485, 19419])).
% 54.30/34.49 tff(19424,plain,
% 54.30/34.49 (v100(constB102)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[18493, 19423, 19418])).
% 54.30/34.49 tff(19425,plain,
% 54.30/34.49 (v90(constB102, 1) | (~v129(constB102, 1))),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[18500, 1623, 19424])).
% 54.30/34.49 tff(19426,plain,
% 54.30/34.49 (v90(constB102, 1)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[19425, 19422])).
% 54.30/34.49 tff(19427,plain,
% 54.30/34.49 (v90(constB103, 1)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[18528, 19426])).
% 54.30/34.49 tff(19428,plain,
% 54.30/34.49 (~v130(constB101, 2)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[18532, 1821, 19419])).
% 54.30/34.49 tff(19429,plain,
% 54.30/34.49 (~v127(constB101, 2)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[18540, 19428])).
% 54.30/34.49 tff(19430,plain,
% 54.30/34.49 (~v129(constB102, 2)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[18545, 19429])).
% 54.30/34.49 tff(19431,plain,
% 54.30/34.49 ((~v90(constB102, 2)) | v129(constB102, 2)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[18549, 1223, 19424])).
% 54.30/34.49 tff(19432,plain,
% 54.30/34.49 (~v90(constB102, 2)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[19431, 19430])).
% 54.30/34.49 tff(19433,plain,
% 54.30/34.49 (~v90(constB103, 2)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[18559, 19432])).
% 54.30/34.49 tff(19434,plain,
% 54.30/34.49 (v90(constB103, 0)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[18568, 19423])).
% 54.30/34.49 tff(19435,plain,
% 54.30/34.49 ((~v90(constB103, 1)) | v90(constB103, 2) | v122(constB103)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[18572, 1956, 19434])).
% 54.30/34.49 tff(19436,plain,
% 54.30/34.49 (v122(constB103)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[19435, 19433, 19427])).
% 54.30/34.49 tff(19437,plain,
% 54.30/34.49 (~v130(constB103, 1)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[18577, 2366, 19436])).
% 54.30/34.49 tff(19438,plain,
% 54.30/34.49 (~v127(constB103, 1)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[18589, 19437])).
% 54.30/34.49 tff(19439,plain,
% 54.30/34.49 (~v129(constB104, 1)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[18597, 19438])).
% 54.30/34.49 tff(19440,plain,
% 54.30/34.49 (~v90(constB104, 0)),
% 54.30/34.49 inference(unit_resolution,[status(thm)],[19230, 19436])).
% 54.30/34.49 tff(19441,plain,
% 54.30/34.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB103, 0)) | (~nextState(constB103, constB104)) | v100(constB104) | v90(constB104, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB103, 0)) | (~nextState(constB103, constB104)) | v100(constB104) | v90(constB104, 0))),
% 54.30/34.49 inference(rewrite,[status(thm)],[])).
% 54.30/34.49 tff(19442,plain,
% 54.30/34.49 (((~nextState(constB103, constB104)) | (~v90(constB103, 0)) | v100(constB104) | v90(constB104, 0)) <=> ((~v90(constB103, 0)) | (~nextState(constB103, constB104)) | v100(constB104) | v90(constB104, 0))),
% 54.30/34.49 inference(rewrite,[status(thm)],[])).
% 54.30/34.49 tff(19443,plain,
% 54.30/34.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB103, constB104)) | (~v90(constB103, 0)) | v100(constB104) | v90(constB104, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB103, 0)) | (~nextState(constB103, constB104)) | v100(constB104) | v90(constB104, 0)))),
% 54.30/34.49 inference(monotonicity,[status(thm)],[19442])).
% 54.30/34.49 tff(19444,plain,
% 54.30/34.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB103, constB104)) | (~v90(constB103, 0)) | v100(constB104) | v90(constB104, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB103, 0)) | (~nextState(constB103, constB104)) | v100(constB104) | v90(constB104, 0))),
% 54.30/34.49 inference(transitivity,[status(thm)],[19443, 19441])).
% 54.30/34.49 tff(19445,plain,
% 54.30/34.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB103, constB104)) | (~v90(constB103, 0)) | v100(constB104) | v90(constB104, 0))),
% 54.30/34.49 inference(quant_inst,[status(thm)],[])).
% 54.30/34.50 tff(19446,plain,
% 54.30/34.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB103, 0)) | (~nextState(constB103, constB104)) | v100(constB104) | v90(constB104, 0)),
% 54.30/34.50 inference(modus_ponens,[status(thm)],[19445, 19444])).
% 54.30/34.50 tff(19447,plain,
% 54.30/34.50 ((~v90(constB103, 0)) | v100(constB104) | v90(constB104, 0)),
% 54.30/34.50 inference(unit_resolution,[status(thm)],[19446, 1395, 18593])).
% 54.30/34.50 tff(19448,plain,
% 54.30/34.50 (v100(constB104)),
% 54.30/34.50 inference(unit_resolution,[status(thm)],[19447, 19440, 19434])).
% 54.30/34.50 tff(19449,plain,
% 54.30/34.50 ((~v90(constB104, 1)) | v129(constB104, 1)),
% 54.30/34.50 inference(unit_resolution,[status(thm)],[19134, 1309, 19448])).
% 54.30/34.50 tff(19450,plain,
% 54.30/34.50 (~v90(constB104, 1)),
% 54.30/34.50 inference(unit_resolution,[status(thm)],[19449, 19439])).
% 54.30/34.50 tff(19451,plain,
% 54.30/34.50 (~v90(constB105, 1)),
% 54.30/34.50 inference(unit_resolution,[status(thm)],[19162, 19450])).
% 54.30/34.50 tff(19452,plain,
% 54.30/34.50 (v130(constB103, 2)),
% 54.30/34.50 inference(unit_resolution,[status(thm)],[19166, 1967, 19436])).
% 54.30/34.50 tff(19453,plain,
% 54.30/34.50 (v127(constB103, 2)),
% 54.30/34.50 inference(unit_resolution,[status(thm)],[19171, 19452])).
% 54.30/34.50 tff(19454,plain,
% 54.30/34.50 (v129(constB104, 2)),
% 54.30/34.50 inference(unit_resolution,[status(thm)],[19176, 19453])).
% 54.30/34.50 tff(19455,plain,
% 54.30/34.50 (v90(constB104, 2) | (~v129(constB104, 2))),
% 54.30/34.50 inference(unit_resolution,[status(thm)],[19183, 2324, 19448])).
% 54.30/34.50 tff(19456,plain,
% 54.30/34.50 (v90(constB104, 2)),
% 54.30/34.50 inference(unit_resolution,[status(thm)],[19455, 19454])).
% 54.30/34.50 tff(19457,plain,
% 54.30/34.50 (v90(constB105, 2)),
% 54.30/34.50 inference(unit_resolution,[status(thm)],[19193, 19456])).
% 54.30/34.50 tff(19458,plain,
% 54.30/34.50 (~v90(constB105, 0)),
% 54.30/34.50 inference(unit_resolution,[status(thm)],[19239, 19440])).
% 54.30/34.50 tff(19459,plain,
% 54.30/34.50 (v90(constB105, 1) | (~v90(constB105, 2)) | v123(constB105)),
% 54.30/34.50 inference(unit_resolution,[status(thm)],[19243, 2308, 19458])).
% 54.30/34.50 tff(19460,plain,
% 54.30/34.50 (v123(constB105)),
% 54.30/34.50 inference(unit_resolution,[status(thm)],[19459, 19457, 19451])).
% 54.30/34.50 tff(19461,assumption,(~v90(constB106, 2)), introduced(assumption)).
% 54.30/34.50 tff(19462,plain,
% 54.30/34.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB105, 2)) | (~nextState(constB105, constB106)) | v100(constB106) | v90(constB106, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB105, 2)) | (~nextState(constB105, constB106)) | v100(constB106) | v90(constB106, 2))),
% 54.30/34.50 inference(rewrite,[status(thm)],[])).
% 54.30/34.50 tff(19463,plain,
% 54.30/34.50 (((~nextState(constB105, constB106)) | (~v90(constB105, 2)) | v100(constB106) | v90(constB106, 2)) <=> ((~v90(constB105, 2)) | (~nextState(constB105, constB106)) | v100(constB106) | v90(constB106, 2))),
% 54.30/34.50 inference(rewrite,[status(thm)],[])).
% 54.30/34.50 tff(19464,plain,
% 54.30/34.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB105, constB106)) | (~v90(constB105, 2)) | v100(constB106) | v90(constB106, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB105, 2)) | (~nextState(constB105, constB106)) | v100(constB106) | v90(constB106, 2)))),
% 54.30/34.50 inference(monotonicity,[status(thm)],[19463])).
% 54.30/34.50 tff(19465,plain,
% 54.30/34.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB105, constB106)) | (~v90(constB105, 2)) | v100(constB106) | v90(constB106, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB105, 2)) | (~nextState(constB105, constB106)) | v100(constB106) | v90(constB106, 2))),
% 54.30/34.50 inference(transitivity,[status(thm)],[19464, 19462])).
% 54.30/34.50 tff(19466,plain,
% 54.30/34.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB105, constB106)) | (~v90(constB105, 2)) | v100(constB106) | v90(constB106, 2))),
% 54.30/34.50 inference(quant_inst,[status(thm)],[])).
% 54.30/34.50 tff(19467,plain,
% 54.30/34.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB105, 2)) | (~nextState(constB105, constB106)) | v100(constB106) | v90(constB106, 2)),
% 54.30/34.50 inference(modus_ponens,[status(thm)],[19466, 19465])).
% 54.30/34.50 tff(19468,plain,
% 54.30/34.50 ((~v90(constB105, 2)) | v100(constB106) | v90(constB106, 2)),
% 54.30/34.50 inference(unit_resolution,[status(thm)],[19467, 2174, 19282])).
% 54.30/34.50 tff(19469,plain,
% 54.30/34.50 (v100(constB106)),
% 54.30/34.50 inference(unit_resolution,[status(thm)],[19468, 19457, 19461])).
% 54.30/34.50 tff(19470,plain,
% 54.30/34.50 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB106, 2) | (~v129(constB106, 2)) | (~v100(constB106)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB106, 2) | (~v129(constB106, 2)) | (~v100(constB106)))),
% 54.30/34.50 inference(rewrite,[status(thm)],[])).
% 54.30/34.50 tff(19471,plain,
% 54.30/34.50 ((v90(constB106, 2) | (~v100(constB106)) | (~v129(constB106, 2))) <=> (v90(constB106, 2) | (~v129(constB106, 2)) | (~v100(constB106)))),
% 54.30/34.50 inference(rewrite,[status(thm)],[])).
% 54.30/34.50 tff(19472,plain,
% 54.30/34.50 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB106, 2) | (~v100(constB106)) | (~v129(constB106, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB106, 2) | (~v129(constB106, 2)) | (~v100(constB106))))),
% 54.30/34.50 inference(monotonicity,[status(thm)],[19471])).
% 54.30/34.50 tff(19473,plain,
% 54.30/34.50 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB106, 2) | (~v100(constB106)) | (~v129(constB106, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB106, 2) | (~v129(constB106, 2)) | (~v100(constB106)))),
% 54.30/34.50 inference(transitivity,[status(thm)],[19472, 19470])).
% 54.30/34.50 tff(19474,plain,
% 54.30/34.50 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB106, 2) | (~v100(constB106)) | (~v129(constB106, 2)))),
% 54.30/34.50 inference(quant_inst,[status(thm)],[])).
% 54.30/34.50 tff(19475,plain,
% 54.30/34.50 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB106, 2) | (~v129(constB106, 2)) | (~v100(constB106))),
% 54.30/34.50 inference(modus_ponens,[status(thm)],[19474, 19473])).
% 54.30/34.50 tff(19476,plain,
% 54.30/34.50 ((~v129(constB106, 2)) | (~v100(constB106))),
% 54.30/34.50 inference(unit_resolution,[status(thm)],[19475, 2324, 19461])).
% 54.30/34.50 tff(19477,plain,
% 54.30/34.50 (~v129(constB106, 2)),
% 54.30/34.50 inference(unit_resolution,[status(thm)],[19476, 19469])).
% 54.30/34.50 tff(19478,plain,
% 54.30/34.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB105, constB106)) | (~v127(constB105, 2)) | v129(constB106, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB105, constB106)) | (~v127(constB105, 2)) | v129(constB106, 2))),
% 54.30/34.50 inference(rewrite,[status(thm)],[])).
% 54.30/34.50 tff(19479,plain,
% 54.30/34.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB105, constB106)) | (~v127(constB105, 2)) | v129(constB106, 2))),
% 54.30/34.50 inference(quant_inst,[status(thm)],[])).
% 54.30/34.50 tff(19480,plain,
% 54.30/34.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB105, constB106)) | (~v127(constB105, 2)) | v129(constB106, 2)),
% 54.30/34.50 inference(modus_ponens,[status(thm)],[19479, 19478])).
% 54.30/34.50 tff(19481,plain,
% 54.30/34.50 ((~v127(constB105, 2)) | v129(constB106, 2)),
% 54.30/34.50 inference(unit_resolution,[status(thm)],[19480, 1999, 19282])).
% 54.30/34.50 tff(19482,plain,
% 54.30/34.50 (~v127(constB105, 2)),
% 54.30/34.50 inference(unit_resolution,[status(thm)],[19481, 19477])).
% 54.30/34.50 tff(19483,plain,
% 54.30/34.50 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB105) | (~v130(constB105, 2)) | v127(constB105, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB105) | (~v130(constB105, 2)) | v127(constB105, 2))),
% 54.30/34.50 inference(rewrite,[status(thm)],[])).
% 54.30/34.50 tff(19484,plain,
% 54.30/34.50 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB105) | (~v130(constB105, 2)) | v127(constB105, 2))),
% 54.30/34.50 inference(quant_inst,[status(thm)],[])).
% 54.30/34.50 tff(19485,plain,
% 54.30/34.50 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB105) | (~v130(constB105, 2)) | v127(constB105, 2)),
% 54.30/34.50 inference(modus_ponens,[status(thm)],[19484, 19483])).
% 54.30/34.50 tff(19486,plain,
% 54.30/34.50 ((~v130(constB105, 2)) | v127(constB105, 2)),
% 54.30/34.50 inference(unit_resolution,[status(thm)],[19485, 1981, 19267])).
% 54.30/34.50 tff(19487,plain,
% 54.30/34.50 (~v130(constB105, 2)),
% 54.30/34.50 inference(unit_resolution,[status(thm)],[19486, 19482])).
% 54.30/34.50 tff(19488,plain,
% 54.30/34.50 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB105)) | v130(constB105, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB105)) | v130(constB105, 2))),
% 54.30/34.50 inference(rewrite,[status(thm)],[])).
% 54.30/34.50 tff(19489,plain,
% 54.30/34.50 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB105)) | v130(constB105, 2))),
% 54.30/34.50 inference(quant_inst,[status(thm)],[])).
% 54.30/34.50 tff(19490,plain,
% 54.30/34.50 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB105)) | v130(constB105, 2)),
% 54.30/34.50 inference(modus_ponens,[status(thm)],[19489, 19488])).
% 54.30/34.50 tff(19491,plain,
% 54.30/34.50 ($false),
% 54.30/34.50 inference(unit_resolution,[status(thm)],[19490, 2525, 19487, 19460])).
% 54.30/34.50 tff(19492,plain,((~v120(constB99)) | v90(constB106, 2) | v130(constB99, 0)), inference(lemma,lemma(discharge,[]))).
% 54.30/34.50 tff(19493,plain,
% 54.30/34.50 (v90(constB106, 2)),
% 54.30/34.50 inference(unit_resolution,[status(thm)],[19492, 18137, 18133])).
% 54.30/34.50 tff(19494,plain,
% 54.30/34.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB106, 2)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB106, 2)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, 2))),
% 54.30/34.50 inference(rewrite,[status(thm)],[])).
% 54.30/34.50 tff(19495,plain,
% 54.30/34.50 (((~nextState(constB106, constB107)) | (~v90(constB106, 2)) | v100(constB107) | v90(constB107, 2)) <=> ((~v90(constB106, 2)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, 2))),
% 54.30/34.50 inference(rewrite,[status(thm)],[])).
% 54.30/34.50 tff(19496,plain,
% 54.30/34.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB106, constB107)) | (~v90(constB106, 2)) | v100(constB107) | v90(constB107, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB106, 2)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, 2)))),
% 54.30/34.50 inference(monotonicity,[status(thm)],[19495])).
% 54.30/34.50 tff(19497,plain,
% 54.30/34.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB106, constB107)) | (~v90(constB106, 2)) | v100(constB107) | v90(constB107, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB106, 2)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, 2))),
% 54.30/34.50 inference(transitivity,[status(thm)],[19496, 19494])).
% 54.30/34.50 tff(19498,plain,
% 54.30/34.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB106, constB107)) | (~v90(constB106, 2)) | v100(constB107) | v90(constB107, 2))),
% 54.30/34.50 inference(quant_inst,[status(thm)],[])).
% 54.30/34.50 tff(19499,plain,
% 54.30/34.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB106, 2)) | (~nextState(constB106, constB107)) | v100(constB107) | v90(constB107, 2)),
% 54.30/34.50 inference(modus_ponens,[status(thm)],[19498, 19497])).
% 54.30/34.50 tff(19500,plain,
% 54.30/34.50 ((~v90(constB106, 2)) | v100(constB107) | v90(constB107, 2)),
% 54.30/34.50 inference(unit_resolution,[status(thm)],[19499, 2174, 19341])).
% 54.30/34.50 tff(19501,plain,
% 54.30/34.50 ((~v90(constB106, 2)) | v90(constB107, 2)),
% 54.30/34.50 inference(unit_resolution,[status(thm)],[19500, 19353])).
% 54.30/34.50 tff(19502,plain,
% 54.30/34.50 (v90(constB107, 2)),
% 54.30/34.50 inference(unit_resolution,[status(thm)],[19501, 19493])).
% 54.30/34.50 tff(19503,plain,
% 54.30/34.50 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB107, 0)) | v90(constB107, 1) | (~v90(constB107, 2)) | v124(constB107))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB107, 0)) | v90(constB107, 1) | (~v90(constB107, 2)) | v124(constB107))),
% 54.30/34.50 inference(rewrite,[status(thm)],[])).
% 54.30/34.50 tff(19504,plain,
% 54.30/34.50 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB107, 0)) | v90(constB107, 1) | (~v90(constB107, 2)) | v124(constB107))),
% 54.30/34.50 inference(quant_inst,[status(thm)],[])).
% 54.30/34.50 tff(19505,plain,
% 54.30/34.50 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB107, 0)) | v90(constB107, 1) | (~v90(constB107, 2)) | v124(constB107)),
% 54.30/34.50 inference(modus_ponens,[status(thm)],[19504, 19503])).
% 54.30/34.50 tff(19506,plain,
% 54.30/34.50 ((~v90(constB107, 0)) | v90(constB107, 1) | v124(constB107)),
% 54.30/34.50 inference(unit_resolution,[status(thm)],[19505, 2663, 19502])).
% 54.30/34.50 tff(19507,plain,
% 54.30/34.50 (v124(constB107)),
% 54.30/34.50 inference(unit_resolution,[status(thm)],[19506, 19396, 19362])).
% 54.30/34.50 tff(19508,plain,
% 54.30/34.50 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB107)) | v130(constB107, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB107)) | v130(constB107, 1))),
% 54.30/34.50 inference(rewrite,[status(thm)],[])).
% 54.30/34.50 tff(19509,plain,
% 54.30/34.50 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB107)) | v130(constB107, 1))),
% 54.30/34.50 inference(quant_inst,[status(thm)],[])).
% 54.30/34.50 tff(19510,plain,
% 54.30/34.50 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB107)) | v130(constB107, 1)),
% 54.30/34.50 inference(modus_ponens,[status(thm)],[19509, 19508])).
% 54.30/34.50 tff(19511,plain,
% 54.30/34.50 (v130(constB107, 1)),
% 54.30/34.50 inference(unit_resolution,[status(thm)],[19510, 2808, 19507])).
% 54.30/34.50 tff(19512,plain,
% 54.30/34.50 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB107)) | v130(constB107, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB107)) | v130(constB107, 2))),
% 54.30/34.50 inference(rewrite,[status(thm)],[])).
% 54.30/34.50 tff(19513,plain,
% 54.30/34.50 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB107)) | v130(constB107, 2))),
% 54.30/34.50 inference(quant_inst,[status(thm)],[])).
% 54.30/34.50 tff(19514,plain,
% 54.30/34.50 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB107)) | v130(constB107, 2)),
% 54.30/34.50 inference(modus_ponens,[status(thm)],[19513, 19512])).
% 54.30/34.50 tff(19515,plain,
% 54.30/34.50 (v130(constB107, 2)),
% 54.30/34.50 inference(unit_resolution,[status(thm)],[19514, 2741, 19507])).
% 54.30/34.50 tff(19516,plain,
% 54.30/34.50 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB107)) | (~v130(constB107, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB107)) | (~v130(constB107, 0)))),
% 54.30/34.50 inference(rewrite,[status(thm)],[])).
% 54.30/34.50 tff(19517,plain,
% 54.30/34.50 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB107)) | (~v130(constB107, 0)))),
% 54.30/34.50 inference(quant_inst,[status(thm)],[])).
% 54.30/34.50 tff(19518,plain,
% 54.30/34.50 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB107)) | (~v130(constB107, 0))),
% 54.30/34.50 inference(modus_ponens,[status(thm)],[19517, 19516])).
% 54.30/34.50 tff(19519,plain,
% 54.30/34.50 (~v130(constB107, 0)),
% 54.30/34.50 inference(unit_resolution,[status(thm)],[19518, 3274, 19507])).
% 54.30/34.50 tff(19520,plain,
% 54.30/34.50 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB107)) | v114(constB107))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB107)) | v114(constB107))),
% 54.30/34.50 inference(rewrite,[status(thm)],[])).
% 54.30/34.50 tff(19521,plain,
% 54.30/34.50 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB107)) | v114(constB107))),
% 54.30/34.50 inference(quant_inst,[status(thm)],[])).
% 54.30/34.50 tff(19522,plain,
% 54.30/34.50 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB107)) | v114(constB107)),
% 54.30/34.50 inference(modus_ponens,[status(thm)],[19521, 19520])).
% 54.30/34.50 tff(19523,plain,
% 54.30/34.50 (v114(constB107)),
% 54.30/34.50 inference(unit_resolution,[status(thm)],[19522, 2674, 19507])).
% 54.30/34.50 tff(19524,plain,
% 54.30/34.50 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB107) | (~v114(constB107)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB107) | (~v114(constB107)))),
% 54.30/34.50 inference(rewrite,[status(thm)],[])).
% 54.30/34.50 tff(19525,plain,
% 54.30/34.50 (((~v114(constB107)) | v113(constB107)) <=> (v113(constB107) | (~v114(constB107)))),
% 54.30/34.50 inference(rewrite,[status(thm)],[])).
% 54.30/34.50 tff(19526,plain,
% 54.30/34.50 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB107)) | v113(constB107))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB107) | (~v114(constB107))))),
% 54.30/34.50 inference(monotonicity,[status(thm)],[19525])).
% 54.30/34.50 tff(19527,plain,
% 54.30/34.50 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB107)) | v113(constB107))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB107) | (~v114(constB107)))),
% 54.30/34.50 inference(transitivity,[status(thm)],[19526, 19524])).
% 54.30/34.50 tff(19528,plain,
% 54.30/34.50 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB107)) | v113(constB107))),
% 54.30/34.50 inference(quant_inst,[status(thm)],[])).
% 54.30/34.50 tff(19529,plain,
% 54.30/34.50 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB107) | (~v114(constB107))),
% 54.30/34.50 inference(modus_ponens,[status(thm)],[19528, 19527])).
% 54.30/34.50 tff(19530,plain,
% 54.30/34.50 (v113(constB107)),
% 54.30/34.50 inference(unit_resolution,[status(thm)],[19529, 1049, 19523])).
% 54.30/34.50 tff(19531,assumption,(v26(constB109)), introduced(assumption)).
% 54.30/34.50 tff(19532,plain,
% 54.30/34.50 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB109))),
% 54.30/34.50 inference(quant_inst,[status(thm)],[])).
% 54.30/34.50 tff(19533,plain,
% 54.30/34.50 ($false),
% 54.30/34.50 inference(unit_resolution,[status(thm)],[19532, 828, 19531])).
% 54.30/34.50 tff(19534,plain,(~v26(constB109)), inference(lemma,lemma(discharge,[]))).
% 54.30/34.50 tff(19535,assumption,(v26(constB107)), introduced(assumption)).
% 54.30/34.50 tff(19536,plain,
% 54.30/34.50 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB107))),
% 54.30/34.50 inference(quant_inst,[status(thm)],[])).
% 54.30/34.50 tff(19537,plain,
% 54.30/34.50 ($false),
% 54.30/34.50 inference(unit_resolution,[status(thm)],[19536, 828, 19535])).
% 54.30/34.50 tff(19538,plain,(~v26(constB107)), inference(lemma,lemma(discharge,[]))).
% 54.30/34.50 tff(19539,assumption,(~v26(constB107)), introduced(assumption)).
% 54.30/34.50 tff(19540,assumption,(v113(constB107)), introduced(assumption)).
% 54.30/34.50 tff(19541,plain,
% 54.30/34.50 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB107) | (~v113(constB107)) | v112(constB107))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB107) | (~v113(constB107)) | v112(constB107))),
% 54.30/34.50 inference(rewrite,[status(thm)],[])).
% 54.30/34.50 tff(19542,plain,
% 54.30/34.50 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB107) | (~v113(constB107)) | v112(constB107))),
% 54.30/34.50 inference(quant_inst,[status(thm)],[])).
% 54.30/34.50 tff(19543,plain,
% 54.30/34.50 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB107) | (~v113(constB107)) | v112(constB107)),
% 54.30/34.50 inference(modus_ponens,[status(thm)],[19542, 19541])).
% 54.30/34.50 tff(19544,plain,
% 54.30/34.50 (v26(constB107) | v112(constB107)),
% 54.30/34.50 inference(unit_resolution,[status(thm)],[19543, 1063, 19540])).
% 54.30/34.50 tff(19545,plain,
% 54.30/34.50 (v112(constB107)),
% 54.30/34.50 inference(unit_resolution,[status(thm)],[19544, 19539])).
% 54.30/34.50 tff(19546,plain,
% 54.30/34.50 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB107) | (~v112(constB107)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB107) | (~v112(constB107)))),
% 54.30/34.50 inference(rewrite,[status(thm)],[])).
% 54.30/34.50 tff(19547,plain,
% 54.30/34.50 (((~v112(constB107)) | v108(constB107)) <=> (v108(constB107) | (~v112(constB107)))),
% 54.30/34.50 inference(rewrite,[status(thm)],[])).
% 54.30/34.50 tff(19548,plain,
% 54.30/34.50 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB107)) | v108(constB107))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB107) | (~v112(constB107))))),
% 54.30/34.50 inference(monotonicity,[status(thm)],[19547])).
% 54.30/34.50 tff(19549,plain,
% 54.30/34.50 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB107)) | v108(constB107))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB107) | (~v112(constB107)))),
% 54.30/34.50 inference(transitivity,[status(thm)],[19548, 19546])).
% 54.30/34.50 tff(19550,plain,
% 54.30/34.50 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB107)) | v108(constB107))),
% 54.30/34.50 inference(quant_inst,[status(thm)],[])).
% 54.30/34.50 tff(19551,plain,
% 54.30/34.50 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB107) | (~v112(constB107))),
% 54.30/34.50 inference(modus_ponens,[status(thm)],[19550, 19549])).
% 54.30/34.50 tff(19552,plain,
% 54.30/34.50 (v108(constB107)),
% 54.30/34.50 inference(unit_resolution,[status(thm)],[19551, 1075, 19545])).
% 54.30/34.50 tff(19553,plain,
% 54.30/34.50 (nextState(constB107, constB108) <=> nextState(constB107, constB108)),
% 54.30/34.50 inference(rewrite,[status(thm)],[])).
% 54.30/34.50 tff(19554,axiom,(nextState(constB107, constB108)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_107_1')).
% 54.30/34.50 tff(19555,plain,
% 54.30/34.50 (nextState(constB107, constB108)),
% 54.30/34.50 inference(modus_ponens,[status(thm)],[19554, 19553])).
% 54.30/34.50 tff(19556,plain,
% 54.30/34.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107)))),
% 54.30/34.50 inference(rewrite,[status(thm)],[])).
% 54.30/34.50 tff(19557,plain,
% 54.30/34.50 (((~nextState(constB107, constB108)) | (~v108(constB107)) | v110(constB108)) <=> ((~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107)))),
% 54.30/34.50 inference(rewrite,[status(thm)],[])).
% 54.30/34.50 tff(19558,plain,
% 54.30/34.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB107, constB108)) | (~v108(constB107)) | v110(constB108))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107))))),
% 54.30/34.50 inference(monotonicity,[status(thm)],[19557])).
% 54.30/34.50 tff(19559,plain,
% 54.30/34.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB107, constB108)) | (~v108(constB107)) | v110(constB108))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107)))),
% 54.30/34.50 inference(transitivity,[status(thm)],[19558, 19556])).
% 54.30/34.50 tff(19560,plain,
% 54.30/34.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB107, constB108)) | (~v108(constB107)) | v110(constB108))),
% 54.34/34.50 inference(quant_inst,[status(thm)],[])).
% 54.34/34.50 tff(19561,plain,
% 54.34/34.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB107, constB108)) | v110(constB108) | (~v108(constB107))),
% 54.34/34.50 inference(modus_ponens,[status(thm)],[19560, 19559])).
% 54.34/34.50 tff(19562,plain,
% 54.34/34.50 (v110(constB108) | (~v108(constB107))),
% 54.34/34.50 inference(unit_resolution,[status(thm)],[19561, 1095, 19555])).
% 54.34/34.50 tff(19563,plain,
% 54.34/34.50 (v110(constB108)),
% 54.34/34.50 inference(unit_resolution,[status(thm)],[19562, 19552])).
% 54.34/34.50 tff(19564,plain,
% 54.34/34.50 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB107) | (~nextState(constB107, constB108)) | (~v104(constB108)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB107) | (~nextState(constB107, constB108)) | (~v104(constB108)))),
% 54.34/34.50 inference(rewrite,[status(thm)],[])).
% 54.34/34.50 tff(19565,plain,
% 54.34/34.50 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB107) | (~nextState(constB107, constB108)) | (~v104(constB108)))),
% 54.34/34.50 inference(quant_inst,[status(thm)],[])).
% 54.34/34.50 tff(19566,plain,
% 54.34/34.50 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB107) | (~nextState(constB107, constB108)) | (~v104(constB108))),
% 54.34/34.50 inference(modus_ponens,[status(thm)],[19565, 19564])).
% 54.34/34.50 tff(19567,plain,
% 54.34/34.50 (~v104(constB108)),
% 54.34/34.50 inference(unit_resolution,[status(thm)],[19566, 1113, 19555, 19338])).
% 54.34/34.50 tff(19568,plain,
% 54.34/34.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB107, constB108)) | v102(constB108) | v104(constB108))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB107, constB108)) | v102(constB108) | v104(constB108))),
% 54.34/34.50 inference(rewrite,[status(thm)],[])).
% 54.34/34.50 tff(19569,plain,
% 54.34/34.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB107, constB108)) | v102(constB108) | v104(constB108))),
% 54.34/34.50 inference(quant_inst,[status(thm)],[])).
% 54.34/34.50 tff(19570,plain,
% 54.34/34.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB107, constB108)) | v102(constB108) | v104(constB108)),
% 54.34/34.50 inference(modus_ponens,[status(thm)],[19569, 19568])).
% 54.34/34.50 tff(19571,plain,
% 54.34/34.50 (v102(constB108) | v104(constB108)),
% 54.34/34.50 inference(unit_resolution,[status(thm)],[19570, 1127, 19555])).
% 54.34/34.50 tff(19572,plain,
% 54.34/34.50 (v102(constB108)),
% 54.34/34.50 inference(unit_resolution,[status(thm)],[19571, 19567])).
% 54.34/34.50 tff(19573,plain,
% 54.34/34.50 (v1(constB108) <=> v1(constB108)),
% 54.34/34.50 inference(rewrite,[status(thm)],[])).
% 54.34/34.50 tff(19574,axiom,(v1(constB108)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_108_1')).
% 54.34/34.50 tff(19575,plain,
% 54.34/34.50 (v1(constB108)),
% 54.34/34.50 inference(modus_ponens,[status(thm)],[19574, 19573])).
% 54.34/34.50 tff(19576,plain,
% 54.34/34.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB107, constB108)) | v101(constB108) | (~v102(constB108)) | (~v1(constB108)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB107, constB108)) | v101(constB108) | (~v102(constB108)) | (~v1(constB108)))),
% 54.34/34.50 inference(rewrite,[status(thm)],[])).
% 54.34/34.50 tff(19577,plain,
% 54.34/34.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB107, constB108)) | v101(constB108) | (~v102(constB108)) | (~v1(constB108)))),
% 54.34/34.50 inference(quant_inst,[status(thm)],[])).
% 54.34/34.50 tff(19578,plain,
% 54.34/34.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB107, constB108)) | v101(constB108) | (~v102(constB108)) | (~v1(constB108))),
% 54.34/34.50 inference(modus_ponens,[status(thm)],[19577, 19576])).
% 54.34/34.50 tff(19579,plain,
% 54.34/34.50 (v101(constB108) | (~v102(constB108))),
% 54.34/34.50 inference(unit_resolution,[status(thm)],[19578, 1145, 19555, 19575])).
% 54.34/34.50 tff(19580,plain,
% 54.34/34.50 (v101(constB108)),
% 54.34/34.50 inference(unit_resolution,[status(thm)],[19579, 19572])).
% 54.34/34.50 tff(19581,plain,
% 54.34/34.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108)))),
% 54.34/34.50 inference(rewrite,[status(thm)],[])).
% 54.34/34.50 tff(19582,plain,
% 54.34/34.50 (((~nextState(constB107, constB108)) | (~v101(constB108)) | (~v110(constB108)) | v100(constB108)) <=> ((~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108)))),
% 54.34/34.50 inference(rewrite,[status(thm)],[])).
% 54.34/34.50 tff(19583,plain,
% 54.34/34.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB107, constB108)) | (~v101(constB108)) | (~v110(constB108)) | v100(constB108))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108))))),
% 54.34/34.50 inference(monotonicity,[status(thm)],[19582])).
% 54.34/34.50 tff(19584,plain,
% 54.34/34.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB107, constB108)) | (~v101(constB108)) | (~v110(constB108)) | v100(constB108))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108)))),
% 54.34/34.50 inference(transitivity,[status(thm)],[19583, 19581])).
% 54.34/34.50 tff(19585,plain,
% 54.34/34.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB107, constB108)) | (~v101(constB108)) | (~v110(constB108)) | v100(constB108))),
% 54.34/34.50 inference(quant_inst,[status(thm)],[])).
% 54.34/34.50 tff(19586,plain,
% 54.34/34.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB107, constB108)) | v100(constB108) | (~v101(constB108)) | (~v110(constB108))),
% 54.34/34.50 inference(modus_ponens,[status(thm)],[19585, 19584])).
% 54.34/34.50 tff(19587,plain,
% 54.34/34.50 (v100(constB108) | (~v101(constB108)) | (~v110(constB108))),
% 54.34/34.50 inference(unit_resolution,[status(thm)],[19586, 1160, 19555])).
% 54.34/34.50 tff(19588,plain,
% 54.34/34.50 (v100(constB108) | (~v110(constB108))),
% 54.34/34.50 inference(unit_resolution,[status(thm)],[19587, 19580])).
% 54.34/34.50 tff(19589,plain,
% 54.34/34.50 (v100(constB108)),
% 54.34/34.50 inference(unit_resolution,[status(thm)],[19588, 19563])).
% 54.34/34.50 tff(19590,assumption,(v130(constB107, 2)), introduced(assumption)).
% 54.34/34.50 tff(19591,plain,
% 54.34/34.50 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB107) | (~v130(constB107, 2)) | v127(constB107, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB107) | (~v130(constB107, 2)) | v127(constB107, 2))),
% 54.34/34.50 inference(rewrite,[status(thm)],[])).
% 54.34/34.50 tff(19592,plain,
% 54.34/34.50 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB107) | (~v130(constB107, 2)) | v127(constB107, 2))),
% 54.34/34.50 inference(quant_inst,[status(thm)],[])).
% 54.34/34.50 tff(19593,plain,
% 54.34/34.50 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB107) | (~v130(constB107, 2)) | v127(constB107, 2)),
% 54.34/34.50 inference(modus_ponens,[status(thm)],[19592, 19591])).
% 54.34/34.50 tff(19594,plain,
% 54.34/34.50 (v26(constB107) | v127(constB107, 2)),
% 54.34/34.50 inference(unit_resolution,[status(thm)],[19593, 1981, 19590])).
% 54.34/34.50 tff(19595,plain,
% 54.34/34.50 (v127(constB107, 2)),
% 54.34/34.50 inference(unit_resolution,[status(thm)],[19594, 19539])).
% 54.34/34.50 tff(19596,plain,
% 54.34/34.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB107, constB108)) | (~v127(constB107, 2)) | v129(constB108, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB107, constB108)) | (~v127(constB107, 2)) | v129(constB108, 2))),
% 54.34/34.50 inference(rewrite,[status(thm)],[])).
% 54.34/34.50 tff(19597,plain,
% 54.34/34.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB107, constB108)) | (~v127(constB107, 2)) | v129(constB108, 2))),
% 54.34/34.50 inference(quant_inst,[status(thm)],[])).
% 54.34/34.50 tff(19598,plain,
% 54.34/34.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB107, constB108)) | (~v127(constB107, 2)) | v129(constB108, 2)),
% 54.34/34.50 inference(modus_ponens,[status(thm)],[19597, 19596])).
% 54.34/34.50 tff(19599,plain,
% 54.34/34.50 ((~v127(constB107, 2)) | v129(constB108, 2)),
% 54.34/34.50 inference(unit_resolution,[status(thm)],[19598, 1999, 19555])).
% 54.34/34.50 tff(19600,plain,
% 54.34/34.50 (v129(constB108, 2)),
% 54.34/34.50 inference(unit_resolution,[status(thm)],[19599, 19595])).
% 54.34/34.50 tff(19601,plain,
% 54.34/34.50 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB108, 2) | (~v129(constB108, 2)) | (~v100(constB108)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB108, 2) | (~v129(constB108, 2)) | (~v100(constB108)))),
% 54.34/34.50 inference(rewrite,[status(thm)],[])).
% 54.34/34.50 tff(19602,plain,
% 54.34/34.50 ((v90(constB108, 2) | (~v100(constB108)) | (~v129(constB108, 2))) <=> (v90(constB108, 2) | (~v129(constB108, 2)) | (~v100(constB108)))),
% 54.34/34.50 inference(rewrite,[status(thm)],[])).
% 54.34/34.50 tff(19603,plain,
% 54.34/34.50 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB108, 2) | (~v100(constB108)) | (~v129(constB108, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB108, 2) | (~v129(constB108, 2)) | (~v100(constB108))))),
% 54.34/34.50 inference(monotonicity,[status(thm)],[19602])).
% 54.34/34.50 tff(19604,plain,
% 54.34/34.50 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB108, 2) | (~v100(constB108)) | (~v129(constB108, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB108, 2) | (~v129(constB108, 2)) | (~v100(constB108)))),
% 54.34/34.50 inference(transitivity,[status(thm)],[19603, 19601])).
% 54.34/34.50 tff(19605,plain,
% 54.34/34.50 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB108, 2) | (~v100(constB108)) | (~v129(constB108, 2)))),
% 54.34/34.50 inference(quant_inst,[status(thm)],[])).
% 54.34/34.50 tff(19606,plain,
% 54.34/34.50 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB108, 2) | (~v129(constB108, 2)) | (~v100(constB108))),
% 54.34/34.50 inference(modus_ponens,[status(thm)],[19605, 19604])).
% 54.34/34.50 tff(19607,plain,
% 54.34/34.50 (v90(constB108, 2) | (~v100(constB108))),
% 54.34/34.50 inference(unit_resolution,[status(thm)],[19606, 2324, 19600])).
% 54.34/34.50 tff(19608,plain,
% 54.34/34.50 (v90(constB108, 2)),
% 54.34/34.50 inference(unit_resolution,[status(thm)],[19607, 19589])).
% 54.34/34.50 tff(19609,plain,
% 54.34/34.50 ((~v1(constB109)) <=> (~v1(constB109))),
% 54.34/34.50 inference(rewrite,[status(thm)],[])).
% 54.34/34.50 tff(19610,axiom,(~v1(constB109)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_109_1_1')).
% 54.34/34.50 tff(19611,plain,
% 54.34/34.50 (~v1(constB109)),
% 54.34/34.50 inference(modus_ponens,[status(thm)],[19610, 19609])).
% 54.34/34.50 tff(19612,plain,
% 54.34/34.50 (nextState(constB108, constB109) <=> nextState(constB108, constB109)),
% 54.34/34.50 inference(rewrite,[status(thm)],[])).
% 54.34/34.50 tff(19613,axiom,(nextState(constB108, constB109)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_108_1')).
% 54.34/34.50 tff(19614,plain,
% 54.34/34.50 (nextState(constB108, constB109)),
% 54.34/34.50 inference(modus_ponens,[status(thm)],[19613, 19612])).
% 54.34/34.50 tff(19615,plain,
% 54.34/34.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109)))),
% 54.34/34.50 inference(rewrite,[status(thm)],[])).
% 54.34/34.50 tff(19616,plain,
% 54.34/34.50 (((~nextState(constB108, constB109)) | (~v101(constB109)) | v1(constB109)) <=> (v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109)))),
% 54.34/34.50 inference(rewrite,[status(thm)],[])).
% 54.34/34.50 tff(19617,plain,
% 54.34/34.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB108, constB109)) | (~v101(constB109)) | v1(constB109))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109))))),
% 54.34/34.50 inference(monotonicity,[status(thm)],[19616])).
% 54.34/34.50 tff(19618,plain,
% 54.34/34.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB108, constB109)) | (~v101(constB109)) | v1(constB109))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109)))),
% 54.34/34.50 inference(transitivity,[status(thm)],[19617, 19615])).
% 54.34/34.50 tff(19619,plain,
% 54.34/34.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB108, constB109)) | (~v101(constB109)) | v1(constB109))),
% 54.34/34.50 inference(quant_inst,[status(thm)],[])).
% 54.34/34.50 tff(19620,plain,
% 54.34/34.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB109) | (~nextState(constB108, constB109)) | (~v101(constB109))),
% 54.34/34.50 inference(modus_ponens,[status(thm)],[19619, 19618])).
% 54.34/34.50 tff(19621,plain,
% 54.34/34.50 (~v101(constB109)),
% 54.34/34.50 inference(unit_resolution,[status(thm)],[19620, 873, 19614, 19611])).
% 54.34/34.50 tff(19622,plain,
% 54.34/34.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB108, constB109)) | v101(constB109) | (~v100(constB109)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB108, constB109)) | v101(constB109) | (~v100(constB109)))),
% 54.34/34.50 inference(rewrite,[status(thm)],[])).
% 54.34/34.50 tff(19623,plain,
% 54.34/34.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB108, constB109)) | v101(constB109) | (~v100(constB109)))),
% 54.34/34.50 inference(quant_inst,[status(thm)],[])).
% 54.34/34.50 tff(19624,plain,
% 54.34/34.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB108, constB109)) | v101(constB109) | (~v100(constB109))),
% 54.34/34.50 inference(modus_ponens,[status(thm)],[19623, 19622])).
% 54.34/34.50 tff(19625,plain,
% 54.34/34.50 (v101(constB109) | (~v100(constB109))),
% 54.34/34.50 inference(unit_resolution,[status(thm)],[19624, 890, 19614])).
% 54.34/34.50 tff(19626,plain,
% 54.34/34.50 (~v100(constB109)),
% 54.34/34.50 inference(unit_resolution,[status(thm)],[19625, 19621])).
% 54.34/34.50 tff(19627,plain,
% 54.34/34.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB108, 2)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB108, 2)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, 2))),
% 54.34/34.50 inference(rewrite,[status(thm)],[])).
% 54.34/34.50 tff(19628,plain,
% 54.34/34.50 (((~nextState(constB108, constB109)) | (~v90(constB108, 2)) | v100(constB109) | v90(constB109, 2)) <=> ((~v90(constB108, 2)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, 2))),
% 54.34/34.50 inference(rewrite,[status(thm)],[])).
% 54.34/34.50 tff(19629,plain,
% 54.34/34.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB108, constB109)) | (~v90(constB108, 2)) | v100(constB109) | v90(constB109, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB108, 2)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, 2)))),
% 54.34/34.50 inference(monotonicity,[status(thm)],[19628])).
% 54.34/34.50 tff(19630,plain,
% 54.34/34.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB108, constB109)) | (~v90(constB108, 2)) | v100(constB109) | v90(constB109, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB108, 2)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, 2))),
% 54.34/34.50 inference(transitivity,[status(thm)],[19629, 19627])).
% 54.34/34.50 tff(19631,plain,
% 54.34/34.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB108, constB109)) | (~v90(constB108, 2)) | v100(constB109) | v90(constB109, 2))),
% 54.34/34.50 inference(quant_inst,[status(thm)],[])).
% 54.34/34.50 tff(19632,plain,
% 54.34/34.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB108, 2)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, 2)),
% 54.34/34.50 inference(modus_ponens,[status(thm)],[19631, 19630])).
% 54.34/34.50 tff(19633,plain,
% 54.34/34.50 ((~v90(constB108, 2)) | v100(constB109) | v90(constB109, 2)),
% 54.34/34.50 inference(unit_resolution,[status(thm)],[19632, 2174, 19614])).
% 54.34/34.50 tff(19634,plain,
% 54.34/34.50 ((~v90(constB108, 2)) | v90(constB109, 2)),
% 54.34/34.50 inference(unit_resolution,[status(thm)],[19633, 19626])).
% 54.34/34.50 tff(19635,plain,
% 54.34/34.50 (v90(constB109, 2)),
% 54.34/34.50 inference(unit_resolution,[status(thm)],[19634, 19608])).
% 54.34/34.50 tff(19636,assumption,(v130(constB107, 1)), introduced(assumption)).
% 54.34/34.50 tff(19637,plain,
% 54.34/34.50 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB107) | (~v130(constB107, 1)) | v127(constB107, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB107) | (~v130(constB107, 1)) | v127(constB107, 1))),
% 54.34/34.50 inference(rewrite,[status(thm)],[])).
% 54.34/34.50 tff(19638,plain,
% 54.34/34.50 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB107) | (~v130(constB107, 1)) | v127(constB107, 1))),
% 54.34/34.50 inference(quant_inst,[status(thm)],[])).
% 54.34/34.50 tff(19639,plain,
% 54.34/34.50 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB107) | (~v130(constB107, 1)) | v127(constB107, 1)),
% 54.34/34.50 inference(modus_ponens,[status(thm)],[19638, 19637])).
% 54.34/34.50 tff(19640,plain,
% 54.34/34.50 (v26(constB107) | v127(constB107, 1)),
% 54.34/34.50 inference(unit_resolution,[status(thm)],[19639, 1593, 19636])).
% 54.34/34.50 tff(19641,plain,
% 54.34/34.50 (v127(constB107, 1)),
% 54.34/34.50 inference(unit_resolution,[status(thm)],[19640, 19539])).
% 54.34/34.50 tff(19642,plain,
% 54.34/34.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB107, constB108)) | (~v127(constB107, 1)) | v129(constB108, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB107, constB108)) | (~v127(constB107, 1)) | v129(constB108, 1))),
% 54.34/34.51 inference(rewrite,[status(thm)],[])).
% 54.34/34.51 tff(19643,plain,
% 54.34/34.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB107, constB108)) | (~v127(constB107, 1)) | v129(constB108, 1))),
% 54.34/34.51 inference(quant_inst,[status(thm)],[])).
% 54.34/34.51 tff(19644,plain,
% 54.34/34.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB107, constB108)) | (~v127(constB107, 1)) | v129(constB108, 1)),
% 54.34/34.51 inference(modus_ponens,[status(thm)],[19643, 19642])).
% 54.34/34.51 tff(19645,plain,
% 54.34/34.51 ((~v127(constB107, 1)) | v129(constB108, 1)),
% 54.34/34.51 inference(unit_resolution,[status(thm)],[19644, 1608, 19555])).
% 54.34/34.51 tff(19646,plain,
% 54.34/34.51 (v129(constB108, 1)),
% 54.34/34.51 inference(unit_resolution,[status(thm)],[19645, 19641])).
% 54.34/34.51 tff(19647,plain,
% 54.34/34.51 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB108, 1) | (~v129(constB108, 1)) | (~v100(constB108)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB108, 1) | (~v129(constB108, 1)) | (~v100(constB108)))),
% 54.34/34.51 inference(rewrite,[status(thm)],[])).
% 54.34/34.51 tff(19648,plain,
% 54.34/34.51 ((v90(constB108, 1) | (~v100(constB108)) | (~v129(constB108, 1))) <=> (v90(constB108, 1) | (~v129(constB108, 1)) | (~v100(constB108)))),
% 54.34/34.51 inference(rewrite,[status(thm)],[])).
% 54.34/34.51 tff(19649,plain,
% 54.34/34.51 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB108, 1) | (~v100(constB108)) | (~v129(constB108, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB108, 1) | (~v129(constB108, 1)) | (~v100(constB108))))),
% 54.34/34.51 inference(monotonicity,[status(thm)],[19648])).
% 54.34/34.51 tff(19650,plain,
% 54.34/34.51 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB108, 1) | (~v100(constB108)) | (~v129(constB108, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB108, 1) | (~v129(constB108, 1)) | (~v100(constB108)))),
% 54.34/34.51 inference(transitivity,[status(thm)],[19649, 19647])).
% 54.34/34.51 tff(19651,plain,
% 54.34/34.51 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB108, 1) | (~v100(constB108)) | (~v129(constB108, 1)))),
% 54.34/34.51 inference(quant_inst,[status(thm)],[])).
% 54.34/34.51 tff(19652,plain,
% 54.34/34.51 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB108, 1) | (~v129(constB108, 1)) | (~v100(constB108))),
% 54.34/34.51 inference(modus_ponens,[status(thm)],[19651, 19650])).
% 54.34/34.51 tff(19653,plain,
% 54.34/34.51 (v90(constB108, 1) | (~v100(constB108))),
% 54.34/34.51 inference(unit_resolution,[status(thm)],[19652, 1623, 19646])).
% 54.34/34.51 tff(19654,plain,
% 54.34/34.51 (v90(constB108, 1)),
% 54.34/34.51 inference(unit_resolution,[status(thm)],[19653, 19589])).
% 54.34/34.51 tff(19655,plain,
% 54.34/34.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB108, 1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB108, 1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, 1))),
% 54.34/34.51 inference(rewrite,[status(thm)],[])).
% 54.34/34.51 tff(19656,plain,
% 54.34/34.51 (((~nextState(constB108, constB109)) | (~v90(constB108, 1)) | v100(constB109) | v90(constB109, 1)) <=> ((~v90(constB108, 1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, 1))),
% 54.34/34.51 inference(rewrite,[status(thm)],[])).
% 54.34/34.51 tff(19657,plain,
% 54.34/34.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB108, constB109)) | (~v90(constB108, 1)) | v100(constB109) | v90(constB109, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB108, 1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, 1)))),
% 54.34/34.51 inference(monotonicity,[status(thm)],[19656])).
% 54.34/34.51 tff(19658,plain,
% 54.34/34.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB108, constB109)) | (~v90(constB108, 1)) | v100(constB109) | v90(constB109, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB108, 1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, 1))),
% 54.34/34.51 inference(transitivity,[status(thm)],[19657, 19655])).
% 54.34/34.51 tff(19659,plain,
% 54.34/34.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB108, constB109)) | (~v90(constB108, 1)) | v100(constB109) | v90(constB109, 1))),
% 54.34/34.51 inference(quant_inst,[status(thm)],[])).
% 54.34/34.51 tff(19660,plain,
% 54.34/34.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB108, 1)) | (~nextState(constB108, constB109)) | v100(constB109) | v90(constB109, 1)),
% 54.34/34.51 inference(modus_ponens,[status(thm)],[19659, 19658])).
% 54.34/34.51 tff(19661,plain,
% 54.34/34.51 ((~v90(constB108, 1)) | v100(constB109) | v90(constB109, 1)),
% 54.34/34.51 inference(unit_resolution,[status(thm)],[19660, 1641, 19614])).
% 54.34/34.51 tff(19662,plain,
% 54.34/34.51 ((~v90(constB108, 1)) | v90(constB109, 1)),
% 54.34/34.51 inference(unit_resolution,[status(thm)],[19661, 19626])).
% 54.34/34.51 tff(19663,plain,
% 54.34/34.51 (v90(constB109, 1)),
% 54.34/34.51 inference(unit_resolution,[status(thm)],[19662, 19654])).
% 54.34/34.51 tff(19664,assumption,(~v130(constB107, 0)), introduced(assumption)).
% 54.34/34.51 tff(19665,plain,
% 54.34/34.51 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB107, 0)) | v26(constB107) | v130(constB107, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB107, 0)) | v26(constB107) | v130(constB107, 0))),
% 54.34/34.51 inference(rewrite,[status(thm)],[])).
% 54.34/34.51 tff(19666,plain,
% 54.34/34.51 ((v26(constB107) | v130(constB107, 0) | (~v127(constB107, 0))) <=> ((~v127(constB107, 0)) | v26(constB107) | v130(constB107, 0))),
% 54.34/34.51 inference(rewrite,[status(thm)],[])).
% 54.34/34.51 tff(19667,plain,
% 54.34/34.51 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB107) | v130(constB107, 0) | (~v127(constB107, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB107, 0)) | v26(constB107) | v130(constB107, 0)))),
% 54.34/34.51 inference(monotonicity,[status(thm)],[19666])).
% 54.34/34.51 tff(19668,plain,
% 54.34/34.51 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB107) | v130(constB107, 0) | (~v127(constB107, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB107, 0)) | v26(constB107) | v130(constB107, 0))),
% 54.34/34.51 inference(transitivity,[status(thm)],[19667, 19665])).
% 54.34/34.51 tff(19669,plain,
% 54.34/34.51 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB107) | v130(constB107, 0) | (~v127(constB107, 0)))),
% 54.34/34.51 inference(quant_inst,[status(thm)],[])).
% 54.34/34.51 tff(19670,plain,
% 54.34/34.51 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB107, 0)) | v26(constB107) | v130(constB107, 0)),
% 54.34/34.51 inference(modus_ponens,[status(thm)],[19669, 19668])).
% 54.34/34.51 tff(19671,plain,
% 54.34/34.51 ((~v127(constB107, 0)) | v26(constB107)),
% 54.34/34.51 inference(unit_resolution,[status(thm)],[19670, 1671, 19664])).
% 54.34/34.51 tff(19672,plain,
% 54.34/34.51 (~v127(constB107, 0)),
% 54.34/34.51 inference(unit_resolution,[status(thm)],[19671, 19539])).
% 54.34/34.51 tff(19673,plain,
% 54.34/34.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB107, constB108)) | v127(constB107, 0) | (~v129(constB108, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB107, constB108)) | v127(constB107, 0) | (~v129(constB108, 0)))),
% 54.34/34.51 inference(rewrite,[status(thm)],[])).
% 54.34/34.51 tff(19674,plain,
% 54.34/34.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB107, constB108)) | v127(constB107, 0) | (~v129(constB108, 0)))),
% 54.34/34.51 inference(quant_inst,[status(thm)],[])).
% 54.34/34.51 tff(19675,plain,
% 54.34/34.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB107, constB108)) | v127(constB107, 0) | (~v129(constB108, 0))),
% 54.34/34.51 inference(modus_ponens,[status(thm)],[19674, 19673])).
% 54.34/34.51 tff(19676,plain,
% 54.34/34.51 (v127(constB107, 0) | (~v129(constB108, 0))),
% 54.34/34.51 inference(unit_resolution,[status(thm)],[19675, 1689, 19555])).
% 54.34/34.51 tff(19677,plain,
% 54.34/34.51 (~v129(constB108, 0)),
% 54.34/34.51 inference(unit_resolution,[status(thm)],[19676, 19672])).
% 54.34/34.51 tff(19678,plain,
% 54.34/34.51 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB108, 0)) | v129(constB108, 0) | (~v100(constB108)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB108, 0)) | v129(constB108, 0) | (~v100(constB108)))),
% 54.34/34.51 inference(rewrite,[status(thm)],[])).
% 54.34/34.51 tff(19679,plain,
% 54.34/34.51 (((~v90(constB108, 0)) | (~v100(constB108)) | v129(constB108, 0)) <=> ((~v90(constB108, 0)) | v129(constB108, 0) | (~v100(constB108)))),
% 54.34/34.51 inference(rewrite,[status(thm)],[])).
% 54.34/34.51 tff(19680,plain,
% 54.34/34.51 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB108, 0)) | (~v100(constB108)) | v129(constB108, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB108, 0)) | v129(constB108, 0) | (~v100(constB108))))),
% 54.34/34.51 inference(monotonicity,[status(thm)],[19679])).
% 54.34/34.51 tff(19681,plain,
% 54.34/34.51 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB108, 0)) | (~v100(constB108)) | v129(constB108, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB108, 0)) | v129(constB108, 0) | (~v100(constB108)))),
% 54.34/34.51 inference(transitivity,[status(thm)],[19680, 19678])).
% 54.34/34.51 tff(19682,plain,
% 54.34/34.51 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB108, 0)) | (~v100(constB108)) | v129(constB108, 0))),
% 54.34/34.51 inference(quant_inst,[status(thm)],[])).
% 54.34/34.51 tff(19683,plain,
% 54.34/34.51 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB108, 0)) | v129(constB108, 0) | (~v100(constB108))),
% 54.34/34.51 inference(modus_ponens,[status(thm)],[19682, 19681])).
% 54.34/34.51 tff(19684,plain,
% 54.34/34.51 ((~v90(constB108, 0)) | (~v100(constB108))),
% 54.34/34.51 inference(unit_resolution,[status(thm)],[19683, 1704, 19677])).
% 54.34/34.51 tff(19685,plain,
% 54.34/34.51 (~v90(constB108, 0)),
% 54.34/34.51 inference(unit_resolution,[status(thm)],[19684, 19589])).
% 54.34/34.51 tff(19686,plain,
% 54.34/34.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB108, 0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB108, 0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, 0)))),
% 54.34/34.51 inference(rewrite,[status(thm)],[])).
% 54.34/34.51 tff(19687,plain,
% 54.34/34.51 (((~nextState(constB108, constB109)) | v90(constB108, 0) | v100(constB109) | (~v90(constB109, 0))) <=> (v90(constB108, 0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, 0)))),
% 54.34/34.51 inference(rewrite,[status(thm)],[])).
% 54.34/34.51 tff(19688,plain,
% 54.34/34.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB108, constB109)) | v90(constB108, 0) | v100(constB109) | (~v90(constB109, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB108, 0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, 0))))),
% 54.34/34.51 inference(monotonicity,[status(thm)],[19687])).
% 54.34/34.51 tff(19689,plain,
% 54.34/34.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB108, constB109)) | v90(constB108, 0) | v100(constB109) | (~v90(constB109, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB108, 0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, 0)))),
% 54.34/34.51 inference(transitivity,[status(thm)],[19688, 19686])).
% 54.34/34.51 tff(19690,plain,
% 54.34/34.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB108, constB109)) | v90(constB108, 0) | v100(constB109) | (~v90(constB109, 0)))),
% 54.34/34.51 inference(quant_inst,[status(thm)],[])).
% 54.34/34.51 tff(19691,plain,
% 54.34/34.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB108, 0) | (~nextState(constB108, constB109)) | v100(constB109) | (~v90(constB109, 0))),
% 54.34/34.51 inference(modus_ponens,[status(thm)],[19690, 19689])).
% 54.34/34.51 tff(19692,plain,
% 54.34/34.51 (v90(constB108, 0) | v100(constB109) | (~v90(constB109, 0))),
% 54.34/34.51 inference(unit_resolution,[status(thm)],[19691, 947, 19614])).
% 54.34/34.51 tff(19693,plain,
% 54.34/34.51 (v90(constB108, 0) | (~v90(constB109, 0))),
% 54.34/34.51 inference(unit_resolution,[status(thm)],[19692, 19626])).
% 54.34/34.51 tff(19694,plain,
% 54.34/34.51 (~v90(constB109, 0)),
% 54.34/34.51 inference(unit_resolution,[status(thm)],[19693, 19685])).
% 54.34/34.51 tff(19695,plain,
% 54.34/34.51 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB109, 0) | (~v90(constB109, 1)) | (~v90(constB109, 2)) | v125(constB109))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB109, 0) | (~v90(constB109, 1)) | (~v90(constB109, 2)) | v125(constB109))),
% 54.34/34.51 inference(rewrite,[status(thm)],[])).
% 54.34/34.51 tff(19696,plain,
% 54.34/34.51 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB109, 0) | (~v90(constB109, 1)) | (~v90(constB109, 2)) | v125(constB109))),
% 54.34/34.51 inference(quant_inst,[status(thm)],[])).
% 54.34/34.51 tff(19697,plain,
% 54.34/34.51 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB109, 0) | (~v90(constB109, 1)) | (~v90(constB109, 2)) | v125(constB109)),
% 54.34/34.51 inference(modus_ponens,[status(thm)],[19696, 19695])).
% 54.34/34.51 tff(19698,plain,
% 54.34/34.51 (v125(constB109)),
% 54.34/34.51 inference(unit_resolution,[status(thm)],[19697, 2279, 19694, 19663, 19635])).
% 54.34/34.51 tff(19699,plain,
% 54.34/34.51 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB109) | (~v125(constB109)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB109) | (~v125(constB109)))),
% 54.34/34.51 inference(rewrite,[status(thm)],[])).
% 54.34/34.51 tff(19700,plain,
% 54.34/34.51 (((~v125(constB109)) | v113(constB109)) <=> (v113(constB109) | (~v125(constB109)))),
% 54.34/34.51 inference(rewrite,[status(thm)],[])).
% 54.34/34.51 tff(19701,plain,
% 54.34/34.51 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB109)) | v113(constB109))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB109) | (~v125(constB109))))),
% 54.34/34.51 inference(monotonicity,[status(thm)],[19700])).
% 54.34/34.51 tff(19702,plain,
% 54.34/34.51 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB109)) | v113(constB109))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB109) | (~v125(constB109)))),
% 54.34/34.51 inference(transitivity,[status(thm)],[19701, 19699])).
% 54.34/34.51 tff(19703,plain,
% 54.34/34.51 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB109)) | v113(constB109))),
% 54.34/34.51 inference(quant_inst,[status(thm)],[])).
% 54.34/34.51 tff(19704,plain,
% 54.34/34.51 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB109) | (~v125(constB109))),
% 54.34/34.51 inference(modus_ponens,[status(thm)],[19703, 19702])).
% 54.34/34.51 tff(19705,plain,
% 54.34/34.51 (v113(constB109)),
% 54.34/34.51 inference(unit_resolution,[status(thm)],[19704, 2262, 19698])).
% 54.34/34.51 tff(19706,assumption,(~v26(constB109)), introduced(assumption)).
% 54.34/34.51 tff(19707,plain,
% 54.34/34.51 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB109) | v112(constB109) | (~v113(constB109)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB109) | v112(constB109) | (~v113(constB109)))),
% 54.34/34.51 inference(rewrite,[status(thm)],[])).
% 54.34/34.51 tff(19708,plain,
% 54.34/34.51 ((v26(constB109) | (~v113(constB109)) | v112(constB109)) <=> (v26(constB109) | v112(constB109) | (~v113(constB109)))),
% 54.34/34.51 inference(rewrite,[status(thm)],[])).
% 54.34/34.51 tff(19709,plain,
% 54.34/34.51 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB109) | (~v113(constB109)) | v112(constB109))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB109) | v112(constB109) | (~v113(constB109))))),
% 54.34/34.51 inference(monotonicity,[status(thm)],[19708])).
% 54.34/34.51 tff(19710,plain,
% 54.34/34.51 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB109) | (~v113(constB109)) | v112(constB109))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB109) | v112(constB109) | (~v113(constB109)))),
% 54.34/34.51 inference(transitivity,[status(thm)],[19709, 19707])).
% 54.34/34.51 tff(19711,plain,
% 54.34/34.51 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB109) | (~v113(constB109)) | v112(constB109))),
% 54.34/34.51 inference(quant_inst,[status(thm)],[])).
% 54.34/34.51 tff(19712,plain,
% 54.34/34.51 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB109) | v112(constB109) | (~v113(constB109))),
% 54.34/34.51 inference(modus_ponens,[status(thm)],[19711, 19710])).
% 54.34/34.51 tff(19713,plain,
% 54.34/34.51 (v112(constB109) | (~v113(constB109))),
% 54.34/34.51 inference(unit_resolution,[status(thm)],[19712, 1063, 19706])).
% 54.34/34.51 tff(19714,plain,
% 54.34/34.51 (v112(constB109)),
% 54.34/34.51 inference(unit_resolution,[status(thm)],[19713, 19705])).
% 54.34/34.51 tff(19715,plain,
% 54.34/34.51 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB109) | (~v112(constB109)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB109) | (~v112(constB109)))),
% 54.34/34.51 inference(rewrite,[status(thm)],[])).
% 54.34/34.51 tff(19716,plain,
% 54.34/34.51 (((~v112(constB109)) | v108(constB109)) <=> (v108(constB109) | (~v112(constB109)))),
% 54.34/34.51 inference(rewrite,[status(thm)],[])).
% 54.34/34.51 tff(19717,plain,
% 54.34/34.51 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB109)) | v108(constB109))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB109) | (~v112(constB109))))),
% 54.34/34.51 inference(monotonicity,[status(thm)],[19716])).
% 54.34/34.51 tff(19718,plain,
% 54.34/34.51 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB109)) | v108(constB109))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB109) | (~v112(constB109)))),
% 54.34/34.51 inference(transitivity,[status(thm)],[19717, 19715])).
% 54.34/34.51 tff(19719,plain,
% 54.34/34.51 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB109)) | v108(constB109))),
% 54.34/34.51 inference(quant_inst,[status(thm)],[])).
% 54.34/34.51 tff(19720,plain,
% 54.34/34.51 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB109) | (~v112(constB109))),
% 54.34/34.51 inference(modus_ponens,[status(thm)],[19719, 19718])).
% 54.34/34.51 tff(19721,plain,
% 54.34/34.51 (v108(constB109)),
% 54.34/34.51 inference(unit_resolution,[status(thm)],[19720, 1075, 19714])).
% 54.34/34.51 tff(19722,plain,
% 54.34/34.51 (nextState(constB109, constB110) <=> nextState(constB109, constB110)),
% 54.34/34.51 inference(rewrite,[status(thm)],[])).
% 54.34/34.51 tff(19723,axiom,(nextState(constB109, constB110)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_109_1')).
% 54.34/34.51 tff(19724,plain,
% 54.34/34.51 (nextState(constB109, constB110)),
% 54.34/34.51 inference(modus_ponens,[status(thm)],[19723, 19722])).
% 54.34/34.51 tff(19725,plain,
% 54.34/34.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109)))),
% 54.34/34.51 inference(rewrite,[status(thm)],[])).
% 54.34/34.51 tff(19726,plain,
% 54.34/34.51 (((~nextState(constB109, constB110)) | (~v108(constB109)) | v110(constB110)) <=> ((~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109)))),
% 54.34/34.51 inference(rewrite,[status(thm)],[])).
% 54.34/34.51 tff(19727,plain,
% 54.34/34.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB109, constB110)) | (~v108(constB109)) | v110(constB110))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109))))),
% 54.34/34.51 inference(monotonicity,[status(thm)],[19726])).
% 54.34/34.51 tff(19728,plain,
% 54.34/34.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB109, constB110)) | (~v108(constB109)) | v110(constB110))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109)))),
% 54.34/34.51 inference(transitivity,[status(thm)],[19727, 19725])).
% 54.34/34.51 tff(19729,plain,
% 54.34/34.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB109, constB110)) | (~v108(constB109)) | v110(constB110))),
% 54.34/34.51 inference(quant_inst,[status(thm)],[])).
% 54.34/34.51 tff(19730,plain,
% 54.34/34.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB109, constB110)) | v110(constB110) | (~v108(constB109))),
% 54.34/34.51 inference(modus_ponens,[status(thm)],[19729, 19728])).
% 54.34/34.51 tff(19731,plain,
% 54.34/34.51 (v110(constB110) | (~v108(constB109))),
% 54.34/34.51 inference(unit_resolution,[status(thm)],[19730, 1095, 19724])).
% 54.34/34.51 tff(19732,plain,
% 54.34/34.51 (v110(constB110)),
% 54.34/34.51 inference(unit_resolution,[status(thm)],[19731, 19721])).
% 54.34/34.51 tff(19733,plain,
% 54.34/34.51 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB109) | (~nextState(constB109, constB110)) | (~v104(constB110)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB109) | (~nextState(constB109, constB110)) | (~v104(constB110)))),
% 54.34/34.51 inference(rewrite,[status(thm)],[])).
% 54.34/34.51 tff(19734,plain,
% 54.34/34.51 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB109) | (~nextState(constB109, constB110)) | (~v104(constB110)))),
% 54.34/34.51 inference(quant_inst,[status(thm)],[])).
% 54.34/34.51 tff(19735,plain,
% 54.34/34.51 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB109) | (~nextState(constB109, constB110)) | (~v104(constB110))),
% 54.34/34.51 inference(modus_ponens,[status(thm)],[19734, 19733])).
% 54.34/34.51 tff(19736,plain,
% 54.34/34.51 (~v104(constB110)),
% 54.34/34.51 inference(unit_resolution,[status(thm)],[19735, 1113, 19724, 19611])).
% 54.34/34.51 tff(19737,plain,
% 54.34/34.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB109, constB110)) | v102(constB110) | v104(constB110))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB109, constB110)) | v102(constB110) | v104(constB110))),
% 54.34/34.51 inference(rewrite,[status(thm)],[])).
% 54.34/34.51 tff(19738,plain,
% 54.34/34.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB109, constB110)) | v102(constB110) | v104(constB110))),
% 54.34/34.51 inference(quant_inst,[status(thm)],[])).
% 54.34/34.51 tff(19739,plain,
% 54.34/34.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB109, constB110)) | v102(constB110) | v104(constB110)),
% 54.34/34.51 inference(modus_ponens,[status(thm)],[19738, 19737])).
% 54.34/34.51 tff(19740,plain,
% 54.34/34.51 (v102(constB110) | v104(constB110)),
% 54.34/34.51 inference(unit_resolution,[status(thm)],[19739, 1127, 19724])).
% 54.34/34.51 tff(19741,plain,
% 54.34/34.51 (v102(constB110)),
% 54.34/34.51 inference(unit_resolution,[status(thm)],[19740, 19736])).
% 54.34/34.51 tff(19742,plain,
% 54.34/34.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB109, constB110)) | v101(constB110) | (~v102(constB110)) | (~v1(constB110)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB109, constB110)) | v101(constB110) | (~v102(constB110)) | (~v1(constB110)))),
% 54.34/34.51 inference(rewrite,[status(thm)],[])).
% 54.34/34.51 tff(19743,plain,
% 54.34/34.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB109, constB110)) | v101(constB110) | (~v102(constB110)) | (~v1(constB110)))),
% 54.34/34.51 inference(quant_inst,[status(thm)],[])).
% 54.34/34.51 tff(19744,plain,
% 54.34/34.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB109, constB110)) | v101(constB110) | (~v102(constB110)) | (~v1(constB110))),
% 54.34/34.51 inference(modus_ponens,[status(thm)],[19743, 19742])).
% 54.34/34.51 tff(19745,plain,
% 54.34/34.51 (v101(constB110) | (~v102(constB110))),
% 54.34/34.51 inference(unit_resolution,[status(thm)],[19744, 1145, 19724, 772])).
% 54.34/34.51 tff(19746,plain,
% 54.34/34.51 (v101(constB110)),
% 54.34/34.51 inference(unit_resolution,[status(thm)],[19745, 19741])).
% 54.34/34.51 tff(19747,plain,
% 54.34/34.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110)))),
% 54.34/34.51 inference(rewrite,[status(thm)],[])).
% 54.34/34.51 tff(19748,plain,
% 54.34/34.51 (((~nextState(constB109, constB110)) | (~v101(constB110)) | (~v110(constB110)) | v100(constB110)) <=> ((~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110)))),
% 54.34/34.51 inference(rewrite,[status(thm)],[])).
% 54.34/34.51 tff(19749,plain,
% 54.34/34.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB109, constB110)) | (~v101(constB110)) | (~v110(constB110)) | v100(constB110))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110))))),
% 54.34/34.51 inference(monotonicity,[status(thm)],[19748])).
% 54.34/34.51 tff(19750,plain,
% 54.34/34.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB109, constB110)) | (~v101(constB110)) | (~v110(constB110)) | v100(constB110))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110)))),
% 54.34/34.51 inference(transitivity,[status(thm)],[19749, 19747])).
% 54.34/34.51 tff(19751,plain,
% 54.34/34.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB109, constB110)) | (~v101(constB110)) | (~v110(constB110)) | v100(constB110))),
% 54.34/34.51 inference(quant_inst,[status(thm)],[])).
% 54.34/34.51 tff(19752,plain,
% 54.34/34.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB109, constB110)) | v100(constB110) | (~v101(constB110)) | (~v110(constB110))),
% 54.34/34.51 inference(modus_ponens,[status(thm)],[19751, 19750])).
% 54.34/34.51 tff(19753,plain,
% 54.34/34.51 (v100(constB110) | (~v101(constB110)) | (~v110(constB110))),
% 54.34/34.51 inference(unit_resolution,[status(thm)],[19752, 1160, 19724])).
% 54.34/34.51 tff(19754,plain,
% 54.34/34.51 (v100(constB110) | (~v110(constB110))),
% 54.34/34.51 inference(unit_resolution,[status(thm)],[19753, 19746])).
% 54.34/34.51 tff(19755,plain,
% 54.34/34.51 (v100(constB110)),
% 54.34/34.51 inference(unit_resolution,[status(thm)],[19754, 19732])).
% 54.34/34.51 tff(19756,plain,
% 54.34/34.51 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB109)) | (~v90(constB109, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB109)) | (~v90(constB109, 2)))),
% 54.34/34.51 inference(rewrite,[status(thm)],[])).
% 54.34/34.51 tff(19757,plain,
% 54.34/34.51 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB109)) | (~v90(constB109, 2)))),
% 54.34/34.51 inference(quant_inst,[status(thm)],[])).
% 54.34/34.51 tff(19758,plain,
% 54.34/34.51 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB109)) | (~v90(constB109, 2))),
% 54.34/34.51 inference(modus_ponens,[status(thm)],[19757, 19756])).
% 54.34/34.51 tff(19759,plain,
% 54.34/34.51 (~v121(constB109)),
% 54.34/34.51 inference(unit_resolution,[status(thm)],[19758, 2857, 19635])).
% 54.34/34.51 tff(19760,plain,
% 54.34/34.51 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB109)) | (~v90(constB109, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB109)) | (~v90(constB109, 2)))),
% 54.34/34.51 inference(rewrite,[status(thm)],[])).
% 54.34/34.51 tff(19761,plain,
% 54.34/34.51 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB109)) | (~v90(constB109, 2)))),
% 54.34/34.51 inference(quant_inst,[status(thm)],[])).
% 54.34/34.51 tff(19762,plain,
% 54.34/34.51 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB109)) | (~v90(constB109, 2))),
% 54.34/34.51 inference(modus_ponens,[status(thm)],[19761, 19760])).
% 54.34/34.51 tff(19763,plain,
% 54.34/34.51 (~v122(constB109)),
% 54.34/34.51 inference(unit_resolution,[status(thm)],[19762, 2797, 19635])).
% 54.34/34.51 tff(19764,plain,
% 54.34/34.51 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB109)) | (~v90(constB109, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB109)) | (~v90(constB109, 1)))),
% 54.34/34.51 inference(rewrite,[status(thm)],[])).
% 54.34/34.51 tff(19765,plain,
% 54.34/34.51 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB109)) | (~v90(constB109, 1)))),
% 54.34/34.51 inference(quant_inst,[status(thm)],[])).
% 54.34/34.51 tff(19766,plain,
% 54.34/34.51 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB109)) | (~v90(constB109, 1))),
% 54.34/34.51 inference(modus_ponens,[status(thm)],[19765, 19764])).
% 54.34/34.51 tff(19767,plain,
% 54.34/34.51 (~v119(constB109)),
% 54.34/34.51 inference(unit_resolution,[status(thm)],[19766, 2868, 19663])).
% 54.34/34.51 tff(19768,plain,
% 54.34/34.51 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB109)) | (~v90(constB109, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB109)) | (~v90(constB109, 1)))),
% 54.34/34.51 inference(rewrite,[status(thm)],[])).
% 54.34/34.51 tff(19769,plain,
% 54.34/34.51 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB109)) | (~v90(constB109, 1)))),
% 54.34/34.51 inference(quant_inst,[status(thm)],[])).
% 54.34/34.51 tff(19770,plain,
% 54.34/34.51 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB109)) | (~v90(constB109, 1))),
% 54.34/34.51 inference(modus_ponens,[status(thm)],[19769, 19768])).
% 54.34/34.51 tff(19771,plain,
% 54.34/34.51 (~v120(constB109)),
% 54.34/34.51 inference(unit_resolution,[status(thm)],[19770, 2846, 19663])).
% 54.34/34.51 tff(19772,plain,
% 54.34/34.51 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB109)) | (~v90(constB109, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB109)) | (~v90(constB109, 1)))),
% 54.34/34.51 inference(rewrite,[status(thm)],[])).
% 54.34/34.51 tff(19773,plain,
% 54.34/34.51 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB109)) | (~v90(constB109, 1)))),
% 54.34/34.51 inference(quant_inst,[status(thm)],[])).
% 54.34/34.51 tff(19774,plain,
% 54.34/34.51 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB109)) | (~v90(constB109, 1))),
% 54.34/34.51 inference(modus_ponens,[status(thm)],[19773, 19772])).
% 54.34/34.51 tff(19775,plain,
% 54.34/34.51 (~v123(constB109)),
% 54.34/34.51 inference(unit_resolution,[status(thm)],[19774, 2879, 19663])).
% 54.34/34.51 tff(19776,plain,
% 54.34/34.51 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB109)) | (~v90(constB109, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB109)) | (~v90(constB109, 1)))),
% 54.34/34.51 inference(rewrite,[status(thm)],[])).
% 54.34/34.51 tff(19777,plain,
% 54.34/34.51 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB109)) | (~v90(constB109, 1)))),
% 54.34/34.51 inference(quant_inst,[status(thm)],[])).
% 54.34/34.51 tff(19778,plain,
% 54.34/34.51 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB109)) | (~v90(constB109, 1))),
% 54.34/34.51 inference(modus_ponens,[status(thm)],[19777, 19776])).
% 54.34/34.51 tff(19779,plain,
% 54.34/34.51 (~v124(constB109)),
% 54.34/34.51 inference(unit_resolution,[status(thm)],[19778, 2890, 19663])).
% 54.34/34.51 tff(19780,plain,
% 54.34/34.51 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, 2)))),
% 54.34/34.51 inference(rewrite,[status(thm)],[])).
% 54.34/34.51 tff(19781,plain,
% 54.34/34.51 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, 2)))),
% 54.34/34.51 inference(quant_inst,[status(thm)],[])).
% 54.34/34.51 tff(19782,plain,
% 54.34/34.51 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, 2))),
% 54.34/34.51 inference(modus_ponens,[status(thm)],[19781, 19780])).
% 54.34/34.51 tff(19783,plain,
% 54.34/34.51 (~v130(constB109, 2)),
% 54.34/34.51 inference(unit_resolution,[status(thm)],[19782, 2904, 19779, 19775, 19771, 19767, 19763, 19759])).
% 54.34/34.51 tff(19784,plain,
% 54.34/34.51 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB109, 2)) | v26(constB109) | v130(constB109, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB109, 2)) | v26(constB109) | v130(constB109, 2))),
% 54.34/34.51 inference(rewrite,[status(thm)],[])).
% 54.34/34.51 tff(19785,plain,
% 54.34/34.51 ((v26(constB109) | v130(constB109, 2) | (~v127(constB109, 2))) <=> ((~v127(constB109, 2)) | v26(constB109) | v130(constB109, 2))),
% 54.34/34.51 inference(rewrite,[status(thm)],[])).
% 54.34/34.51 tff(19786,plain,
% 54.34/34.51 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB109) | v130(constB109, 2) | (~v127(constB109, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB109, 2)) | v26(constB109) | v130(constB109, 2)))),
% 54.34/34.51 inference(monotonicity,[status(thm)],[19785])).
% 54.34/34.51 tff(19787,plain,
% 54.34/34.51 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB109) | v130(constB109, 2) | (~v127(constB109, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB109, 2)) | v26(constB109) | v130(constB109, 2))),
% 54.34/34.51 inference(transitivity,[status(thm)],[19786, 19784])).
% 54.34/34.51 tff(19788,plain,
% 54.34/34.51 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB109) | v130(constB109, 2) | (~v127(constB109, 2)))),
% 54.34/34.51 inference(quant_inst,[status(thm)],[])).
% 54.34/34.51 tff(19789,plain,
% 54.34/34.51 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB109, 2)) | v26(constB109) | v130(constB109, 2)),
% 54.34/34.51 inference(modus_ponens,[status(thm)],[19788, 19787])).
% 54.34/34.51 tff(19790,plain,
% 54.34/34.51 ((~v127(constB109, 2)) | v130(constB109, 2)),
% 54.34/34.51 inference(unit_resolution,[status(thm)],[19789, 1190, 19706])).
% 54.34/34.51 tff(19791,plain,
% 54.34/34.51 (~v127(constB109, 2)),
% 54.34/34.51 inference(unit_resolution,[status(thm)],[19790, 19783])).
% 54.34/34.51 tff(19792,plain,
% 54.34/34.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB109, constB110)) | v127(constB109, 2) | (~v129(constB110, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB109, constB110)) | v127(constB109, 2) | (~v129(constB110, 2)))),
% 54.34/34.51 inference(rewrite,[status(thm)],[])).
% 54.34/34.51 tff(19793,plain,
% 54.34/34.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB109, constB110)) | v127(constB109, 2) | (~v129(constB110, 2)))),
% 54.34/34.51 inference(quant_inst,[status(thm)],[])).
% 54.34/34.51 tff(19794,plain,
% 54.34/34.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB109, constB110)) | v127(constB109, 2) | (~v129(constB110, 2))),
% 54.34/34.51 inference(modus_ponens,[status(thm)],[19793, 19792])).
% 54.34/34.51 tff(19795,plain,
% 54.34/34.51 (v127(constB109, 2) | (~v129(constB110, 2))),
% 54.34/34.51 inference(unit_resolution,[status(thm)],[19794, 1208, 19724])).
% 54.34/34.51 tff(19796,plain,
% 54.34/34.51 (~v129(constB110, 2)),
% 54.34/34.51 inference(unit_resolution,[status(thm)],[19795, 19791])).
% 54.34/34.51 tff(19797,plain,
% 54.34/34.51 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB110, 2)) | v129(constB110, 2) | (~v100(constB110)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB110, 2)) | v129(constB110, 2) | (~v100(constB110)))),
% 54.34/34.51 inference(rewrite,[status(thm)],[])).
% 54.34/34.51 tff(19798,plain,
% 54.34/34.51 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB110, 2)) | v129(constB110, 2) | (~v100(constB110)))),
% 54.34/34.51 inference(quant_inst,[status(thm)],[])).
% 54.34/34.51 tff(19799,plain,
% 54.34/34.51 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB110, 2)) | v129(constB110, 2) | (~v100(constB110))),
% 54.34/34.51 inference(modus_ponens,[status(thm)],[19798, 19797])).
% 54.34/34.51 tff(19800,plain,
% 54.34/34.51 ((~v90(constB110, 2)) | (~v100(constB110))),
% 54.34/34.51 inference(unit_resolution,[status(thm)],[19799, 1223, 19796])).
% 54.34/34.51 tff(19801,plain,
% 54.34/34.51 (~v90(constB110, 2)),
% 54.34/34.51 inference(unit_resolution,[status(thm)],[19800, 19755])).
% 54.34/34.51 tff(19802,plain,
% 54.34/34.51 ((~v1(constB111)) <=> (~v1(constB111))),
% 54.34/34.51 inference(rewrite,[status(thm)],[])).
% 54.34/34.51 tff(19803,axiom,(~v1(constB111)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_111_1_1')).
% 54.34/34.51 tff(19804,plain,
% 54.34/34.51 (~v1(constB111)),
% 54.34/34.51 inference(modus_ponens,[status(thm)],[19803, 19802])).
% 54.34/34.51 tff(19805,plain,
% 54.34/34.51 (nextState(constB110, constB111) <=> nextState(constB110, constB111)),
% 54.34/34.51 inference(rewrite,[status(thm)],[])).
% 54.34/34.51 tff(19806,axiom,(nextState(constB110, constB111)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_110_1')).
% 54.34/34.51 tff(19807,plain,
% 54.34/34.51 (nextState(constB110, constB111)),
% 54.34/34.51 inference(modus_ponens,[status(thm)],[19806, 19805])).
% 54.34/34.51 tff(19808,plain,
% 54.34/34.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111)))),
% 54.34/34.51 inference(rewrite,[status(thm)],[])).
% 54.34/34.51 tff(19809,plain,
% 54.34/34.51 (((~nextState(constB110, constB111)) | (~v101(constB111)) | v1(constB111)) <=> (v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111)))),
% 54.34/34.51 inference(rewrite,[status(thm)],[])).
% 54.34/34.51 tff(19810,plain,
% 54.34/34.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB110, constB111)) | (~v101(constB111)) | v1(constB111))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111))))),
% 54.34/34.51 inference(monotonicity,[status(thm)],[19809])).
% 54.34/34.51 tff(19811,plain,
% 54.34/34.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB110, constB111)) | (~v101(constB111)) | v1(constB111))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111)))),
% 54.34/34.51 inference(transitivity,[status(thm)],[19810, 19808])).
% 54.34/34.51 tff(19812,plain,
% 54.34/34.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB110, constB111)) | (~v101(constB111)) | v1(constB111))),
% 54.34/34.51 inference(quant_inst,[status(thm)],[])).
% 54.34/34.51 tff(19813,plain,
% 54.34/34.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v101(constB111))),
% 54.34/34.51 inference(modus_ponens,[status(thm)],[19812, 19811])).
% 54.34/34.51 tff(19814,plain,
% 54.34/34.51 (~v101(constB111)),
% 54.34/34.51 inference(unit_resolution,[status(thm)],[19813, 873, 19807, 19804])).
% 54.34/34.51 tff(19815,plain,
% 54.34/34.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB110, constB111)) | v101(constB111) | (~v100(constB111)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB110, constB111)) | v101(constB111) | (~v100(constB111)))),
% 54.34/34.51 inference(rewrite,[status(thm)],[])).
% 54.34/34.51 tff(19816,plain,
% 54.34/34.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB110, constB111)) | v101(constB111) | (~v100(constB111)))),
% 54.34/34.51 inference(quant_inst,[status(thm)],[])).
% 54.34/34.51 tff(19817,plain,
% 54.34/34.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB110, constB111)) | v101(constB111) | (~v100(constB111))),
% 54.34/34.51 inference(modus_ponens,[status(thm)],[19816, 19815])).
% 54.34/34.51 tff(19818,plain,
% 54.34/34.51 (v101(constB111) | (~v100(constB111))),
% 54.34/34.51 inference(unit_resolution,[status(thm)],[19817, 890, 19807])).
% 54.34/34.51 tff(19819,plain,
% 54.34/34.51 (~v100(constB111)),
% 54.34/34.51 inference(unit_resolution,[status(thm)],[19818, 19814])).
% 54.34/34.51 tff(19820,plain,
% 54.34/34.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB110, 2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB110, 2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, 2)))),
% 54.34/34.52 inference(rewrite,[status(thm)],[])).
% 54.34/34.52 tff(19821,plain,
% 54.34/34.52 (((~nextState(constB110, constB111)) | v90(constB110, 2) | v100(constB111) | (~v90(constB111, 2))) <=> (v90(constB110, 2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, 2)))),
% 54.34/34.52 inference(rewrite,[status(thm)],[])).
% 54.34/34.52 tff(19822,plain,
% 54.34/34.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB110, constB111)) | v90(constB110, 2) | v100(constB111) | (~v90(constB111, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB110, 2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, 2))))),
% 54.34/34.52 inference(monotonicity,[status(thm)],[19821])).
% 54.34/34.52 tff(19823,plain,
% 54.34/34.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB110, constB111)) | v90(constB110, 2) | v100(constB111) | (~v90(constB111, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB110, 2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, 2)))),
% 54.34/34.52 inference(transitivity,[status(thm)],[19822, 19820])).
% 54.34/34.52 tff(19824,plain,
% 54.34/34.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB110, constB111)) | v90(constB110, 2) | v100(constB111) | (~v90(constB111, 2)))),
% 54.34/34.52 inference(quant_inst,[status(thm)],[])).
% 54.34/34.52 tff(19825,plain,
% 54.34/34.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB110, 2) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, 2))),
% 54.34/34.52 inference(modus_ponens,[status(thm)],[19824, 19823])).
% 54.34/34.52 tff(19826,plain,
% 54.34/34.52 (v90(constB110, 2) | v100(constB111) | (~v90(constB111, 2))),
% 54.34/34.52 inference(unit_resolution,[status(thm)],[19825, 905, 19807])).
% 54.34/34.52 tff(19827,plain,
% 54.34/34.52 (v90(constB110, 2) | (~v90(constB111, 2))),
% 54.34/34.52 inference(unit_resolution,[status(thm)],[19826, 19819])).
% 54.34/34.52 tff(19828,plain,
% 54.34/34.52 (~v90(constB111, 2)),
% 54.34/34.52 inference(unit_resolution,[status(thm)],[19827, 19801])).
% 54.34/34.52 tff(19829,plain,
% 54.34/34.52 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | v130(constB109, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | v130(constB109, 0))),
% 54.34/34.52 inference(rewrite,[status(thm)],[])).
% 54.34/34.52 tff(19830,plain,
% 54.34/34.52 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | v130(constB109, 0))),
% 54.34/34.52 inference(quant_inst,[status(thm)],[])).
% 54.34/34.52 tff(19831,plain,
% 54.34/34.52 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | v130(constB109, 0)),
% 54.34/34.52 inference(modus_ponens,[status(thm)],[19830, 19829])).
% 54.34/34.52 tff(19832,plain,
% 54.34/34.52 (v130(constB109, 0)),
% 54.34/34.52 inference(unit_resolution,[status(thm)],[19831, 3413, 19779, 19775, 19771, 19767, 19763, 19759])).
% 54.34/34.52 tff(19833,plain,
% 54.34/34.52 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB109) | (~v130(constB109, 0)) | v127(constB109, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB109) | (~v130(constB109, 0)) | v127(constB109, 0))),
% 54.34/34.52 inference(rewrite,[status(thm)],[])).
% 54.34/34.52 tff(19834,plain,
% 54.34/34.52 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB109) | (~v130(constB109, 0)) | v127(constB109, 0))),
% 54.34/34.52 inference(quant_inst,[status(thm)],[])).
% 54.34/34.52 tff(19835,plain,
% 54.34/34.52 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB109) | (~v130(constB109, 0)) | v127(constB109, 0)),
% 54.34/34.52 inference(modus_ponens,[status(thm)],[19834, 19833])).
% 54.34/34.52 tff(19836,plain,
% 54.34/34.52 ((~v130(constB109, 0)) | v127(constB109, 0)),
% 54.34/34.52 inference(unit_resolution,[status(thm)],[19835, 1347, 19706])).
% 54.34/34.52 tff(19837,plain,
% 54.34/34.52 (v127(constB109, 0)),
% 54.34/34.52 inference(unit_resolution,[status(thm)],[19836, 19832])).
% 54.34/34.52 tff(19838,plain,
% 54.34/34.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB109, constB110)) | (~v127(constB109, 0)) | v129(constB110, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB109, constB110)) | (~v127(constB109, 0)) | v129(constB110, 0))),
% 54.34/34.52 inference(rewrite,[status(thm)],[])).
% 54.34/34.52 tff(19839,plain,
% 54.34/34.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB109, constB110)) | (~v127(constB109, 0)) | v129(constB110, 0))),
% 54.34/34.52 inference(quant_inst,[status(thm)],[])).
% 54.34/34.52 tff(19840,plain,
% 54.34/34.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB109, constB110)) | (~v127(constB109, 0)) | v129(constB110, 0)),
% 54.34/34.52 inference(modus_ponens,[status(thm)],[19839, 19838])).
% 54.34/34.52 tff(19841,plain,
% 54.34/34.52 ((~v127(constB109, 0)) | v129(constB110, 0)),
% 54.34/34.52 inference(unit_resolution,[status(thm)],[19840, 1362, 19724])).
% 54.34/34.52 tff(19842,plain,
% 54.34/34.52 (v129(constB110, 0)),
% 54.34/34.52 inference(unit_resolution,[status(thm)],[19841, 19837])).
% 54.34/34.52 tff(19843,plain,
% 54.34/34.52 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB110, 0) | (~v129(constB110, 0)) | (~v100(constB110)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB110, 0) | (~v129(constB110, 0)) | (~v100(constB110)))),
% 54.34/34.52 inference(rewrite,[status(thm)],[])).
% 54.34/34.52 tff(19844,plain,
% 54.34/34.52 ((v90(constB110, 0) | (~v100(constB110)) | (~v129(constB110, 0))) <=> (v90(constB110, 0) | (~v129(constB110, 0)) | (~v100(constB110)))),
% 54.34/34.52 inference(rewrite,[status(thm)],[])).
% 54.34/34.52 tff(19845,plain,
% 54.34/34.52 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB110, 0) | (~v100(constB110)) | (~v129(constB110, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB110, 0) | (~v129(constB110, 0)) | (~v100(constB110))))),
% 54.34/34.52 inference(monotonicity,[status(thm)],[19844])).
% 54.34/34.52 tff(19846,plain,
% 54.34/34.52 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB110, 0) | (~v100(constB110)) | (~v129(constB110, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB110, 0) | (~v129(constB110, 0)) | (~v100(constB110)))),
% 54.34/34.52 inference(transitivity,[status(thm)],[19845, 19843])).
% 54.34/34.52 tff(19847,plain,
% 54.34/34.52 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB110, 0) | (~v100(constB110)) | (~v129(constB110, 0)))),
% 54.34/34.52 inference(quant_inst,[status(thm)],[])).
% 54.34/34.52 tff(19848,plain,
% 54.34/34.52 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB110, 0) | (~v129(constB110, 0)) | (~v100(constB110))),
% 54.34/34.52 inference(modus_ponens,[status(thm)],[19847, 19846])).
% 54.34/34.52 tff(19849,plain,
% 54.34/34.52 (v90(constB110, 0) | (~v100(constB110))),
% 54.34/34.52 inference(unit_resolution,[status(thm)],[19848, 1377, 19842])).
% 54.34/34.52 tff(19850,plain,
% 54.34/34.52 (v90(constB110, 0)),
% 54.34/34.52 inference(unit_resolution,[status(thm)],[19849, 19755])).
% 54.34/34.52 tff(19851,plain,
% 54.34/34.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB110, 0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB110, 0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, 0))),
% 54.34/34.52 inference(rewrite,[status(thm)],[])).
% 54.34/34.52 tff(19852,plain,
% 54.34/34.52 (((~nextState(constB110, constB111)) | (~v90(constB110, 0)) | v100(constB111) | v90(constB111, 0)) <=> ((~v90(constB110, 0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, 0))),
% 54.34/34.52 inference(rewrite,[status(thm)],[])).
% 54.34/34.52 tff(19853,plain,
% 54.34/34.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB110, constB111)) | (~v90(constB110, 0)) | v100(constB111) | v90(constB111, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB110, 0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, 0)))),
% 54.34/34.52 inference(monotonicity,[status(thm)],[19852])).
% 54.34/34.52 tff(19854,plain,
% 54.34/34.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB110, constB111)) | (~v90(constB110, 0)) | v100(constB111) | v90(constB111, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB110, 0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, 0))),
% 54.34/34.52 inference(transitivity,[status(thm)],[19853, 19851])).
% 54.34/34.52 tff(19855,plain,
% 54.34/34.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB110, constB111)) | (~v90(constB110, 0)) | v100(constB111) | v90(constB111, 0))),
% 54.34/34.52 inference(quant_inst,[status(thm)],[])).
% 54.34/34.52 tff(19856,plain,
% 54.34/34.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB110, 0)) | (~nextState(constB110, constB111)) | v100(constB111) | v90(constB111, 0)),
% 54.34/34.52 inference(modus_ponens,[status(thm)],[19855, 19854])).
% 54.34/34.52 tff(19857,plain,
% 54.34/34.52 ((~v90(constB110, 0)) | v100(constB111) | v90(constB111, 0)),
% 54.34/34.52 inference(unit_resolution,[status(thm)],[19856, 1395, 19807])).
% 54.34/34.52 tff(19858,plain,
% 54.34/34.52 ((~v90(constB110, 0)) | v90(constB111, 0)),
% 54.34/34.52 inference(unit_resolution,[status(thm)],[19857, 19819])).
% 54.34/34.52 tff(19859,plain,
% 54.34/34.52 (v90(constB111, 0)),
% 54.34/34.52 inference(unit_resolution,[status(thm)],[19858, 19850])).
% 54.34/34.52 tff(19860,plain,
% 54.34/34.52 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, 1)))),
% 54.34/34.52 inference(rewrite,[status(thm)],[])).
% 54.34/34.52 tff(19861,plain,
% 54.34/34.52 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, 1)))),
% 54.34/34.52 inference(quant_inst,[status(thm)],[])).
% 54.34/34.52 tff(19862,plain,
% 54.34/34.52 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB109) | v120(constB109) | v121(constB109) | v122(constB109) | v123(constB109) | v124(constB109) | (~v130(constB109, 1))),
% 54.34/34.52 inference(modus_ponens,[status(thm)],[19861, 19860])).
% 54.34/34.52 tff(19863,plain,
% 54.34/34.52 (~v130(constB109, 1)),
% 54.34/34.52 inference(unit_resolution,[status(thm)],[19862, 3309, 19779, 19775, 19771, 19767, 19763, 19759])).
% 54.34/34.52 tff(19864,plain,
% 54.34/34.52 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB109, 1)) | v26(constB109) | v130(constB109, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB109, 1)) | v26(constB109) | v130(constB109, 1))),
% 54.34/34.52 inference(rewrite,[status(thm)],[])).
% 54.34/34.52 tff(19865,plain,
% 54.34/34.52 ((v26(constB109) | v130(constB109, 1) | (~v127(constB109, 1))) <=> ((~v127(constB109, 1)) | v26(constB109) | v130(constB109, 1))),
% 54.34/34.52 inference(rewrite,[status(thm)],[])).
% 54.34/34.52 tff(19866,plain,
% 54.34/34.52 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB109) | v130(constB109, 1) | (~v127(constB109, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB109, 1)) | v26(constB109) | v130(constB109, 1)))),
% 54.34/34.52 inference(monotonicity,[status(thm)],[19865])).
% 54.34/34.52 tff(19867,plain,
% 54.34/34.52 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB109) | v130(constB109, 1) | (~v127(constB109, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB109, 1)) | v26(constB109) | v130(constB109, 1))),
% 54.34/34.52 inference(transitivity,[status(thm)],[19866, 19864])).
% 54.34/34.52 tff(19868,plain,
% 54.34/34.52 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB109) | v130(constB109, 1) | (~v127(constB109, 1)))),
% 54.34/34.52 inference(quant_inst,[status(thm)],[])).
% 54.34/34.52 tff(19869,plain,
% 54.34/34.52 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB109, 1)) | v26(constB109) | v130(constB109, 1)),
% 54.34/34.52 inference(modus_ponens,[status(thm)],[19868, 19867])).
% 54.34/34.52 tff(19870,plain,
% 54.34/34.52 ((~v127(constB109, 1)) | v130(constB109, 1)),
% 54.34/34.52 inference(unit_resolution,[status(thm)],[19869, 1276, 19706])).
% 54.34/34.52 tff(19871,plain,
% 54.34/34.52 (~v127(constB109, 1)),
% 54.34/34.52 inference(unit_resolution,[status(thm)],[19870, 19863])).
% 54.34/34.52 tff(19872,plain,
% 54.34/34.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB109, constB110)) | v127(constB109, 1) | (~v129(constB110, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB109, constB110)) | v127(constB109, 1) | (~v129(constB110, 1)))),
% 54.34/34.52 inference(rewrite,[status(thm)],[])).
% 54.34/34.52 tff(19873,plain,
% 54.34/34.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB109, constB110)) | v127(constB109, 1) | (~v129(constB110, 1)))),
% 54.34/34.52 inference(quant_inst,[status(thm)],[])).
% 54.34/34.52 tff(19874,plain,
% 54.34/34.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB109, constB110)) | v127(constB109, 1) | (~v129(constB110, 1))),
% 54.34/34.52 inference(modus_ponens,[status(thm)],[19873, 19872])).
% 54.34/34.52 tff(19875,plain,
% 54.34/34.52 (v127(constB109, 1) | (~v129(constB110, 1))),
% 54.34/34.52 inference(unit_resolution,[status(thm)],[19874, 1294, 19724])).
% 54.34/34.52 tff(19876,plain,
% 54.34/34.52 (~v129(constB110, 1)),
% 54.34/34.52 inference(unit_resolution,[status(thm)],[19875, 19871])).
% 54.34/34.52 tff(19877,plain,
% 54.34/34.52 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB110, 1)) | v129(constB110, 1) | (~v100(constB110)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB110, 1)) | v129(constB110, 1) | (~v100(constB110)))),
% 54.34/34.52 inference(rewrite,[status(thm)],[])).
% 54.34/34.52 tff(19878,plain,
% 54.34/34.52 (((~v90(constB110, 1)) | (~v100(constB110)) | v129(constB110, 1)) <=> ((~v90(constB110, 1)) | v129(constB110, 1) | (~v100(constB110)))),
% 54.34/34.52 inference(rewrite,[status(thm)],[])).
% 54.34/34.52 tff(19879,plain,
% 54.34/34.52 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB110, 1)) | (~v100(constB110)) | v129(constB110, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB110, 1)) | v129(constB110, 1) | (~v100(constB110))))),
% 54.34/34.52 inference(monotonicity,[status(thm)],[19878])).
% 54.34/34.52 tff(19880,plain,
% 54.34/34.52 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB110, 1)) | (~v100(constB110)) | v129(constB110, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB110, 1)) | v129(constB110, 1) | (~v100(constB110)))),
% 54.34/34.52 inference(transitivity,[status(thm)],[19879, 19877])).
% 54.34/34.52 tff(19881,plain,
% 54.34/34.52 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB110, 1)) | (~v100(constB110)) | v129(constB110, 1))),
% 54.34/34.52 inference(quant_inst,[status(thm)],[])).
% 54.34/34.52 tff(19882,plain,
% 54.34/34.52 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB110, 1)) | v129(constB110, 1) | (~v100(constB110))),
% 54.34/34.52 inference(modus_ponens,[status(thm)],[19881, 19880])).
% 54.34/34.52 tff(19883,plain,
% 54.34/34.52 ((~v90(constB110, 1)) | (~v100(constB110))),
% 54.34/34.52 inference(unit_resolution,[status(thm)],[19882, 1309, 19876])).
% 54.34/34.52 tff(19884,plain,
% 54.34/34.52 (~v90(constB110, 1)),
% 54.34/34.52 inference(unit_resolution,[status(thm)],[19883, 19755])).
% 54.34/34.52 tff(19885,plain,
% 54.34/34.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB110, 1) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB110, 1) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, 1)))),
% 54.34/34.52 inference(rewrite,[status(thm)],[])).
% 54.34/34.52 tff(19886,plain,
% 54.34/34.52 (((~nextState(constB110, constB111)) | v90(constB110, 1) | v100(constB111) | (~v90(constB111, 1))) <=> (v90(constB110, 1) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, 1)))),
% 54.34/34.52 inference(rewrite,[status(thm)],[])).
% 54.34/34.52 tff(19887,plain,
% 54.34/34.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB110, constB111)) | v90(constB110, 1) | v100(constB111) | (~v90(constB111, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB110, 1) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, 1))))),
% 54.34/34.52 inference(monotonicity,[status(thm)],[19886])).
% 54.34/34.52 tff(19888,plain,
% 54.34/34.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB110, constB111)) | v90(constB110, 1) | v100(constB111) | (~v90(constB111, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB110, 1) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, 1)))),
% 54.34/34.52 inference(transitivity,[status(thm)],[19887, 19885])).
% 54.34/34.52 tff(19889,plain,
% 54.34/34.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB110, constB111)) | v90(constB110, 1) | v100(constB111) | (~v90(constB111, 1)))),
% 54.34/34.52 inference(quant_inst,[status(thm)],[])).
% 54.34/34.52 tff(19890,plain,
% 54.34/34.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB110, 1) | (~nextState(constB110, constB111)) | v100(constB111) | (~v90(constB111, 1))),
% 54.34/34.52 inference(modus_ponens,[status(thm)],[19889, 19888])).
% 54.34/34.52 tff(19891,plain,
% 54.34/34.52 (v90(constB110, 1) | v100(constB111) | (~v90(constB111, 1))),
% 54.34/34.52 inference(unit_resolution,[status(thm)],[19890, 926, 19807])).
% 54.34/34.52 tff(19892,plain,
% 54.34/34.52 (v90(constB110, 1) | (~v90(constB111, 1))),
% 54.34/34.52 inference(unit_resolution,[status(thm)],[19891, 19819])).
% 54.34/34.52 tff(19893,plain,
% 54.34/34.52 (~v90(constB111, 1)),
% 54.34/34.52 inference(unit_resolution,[status(thm)],[19892, 19884])).
% 54.34/34.52 tff(19894,assumption,(~v120(constB111)), introduced(assumption)).
% 54.34/34.52 tff(19895,plain,
% 54.34/34.52 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB111, 0)) | v90(constB111, 1) | v90(constB111, 2) | v120(constB111))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB111, 0)) | v90(constB111, 1) | v90(constB111, 2) | v120(constB111))),
% 54.34/34.52 inference(rewrite,[status(thm)],[])).
% 54.34/34.52 tff(19896,plain,
% 54.34/34.52 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB111, 0)) | v90(constB111, 1) | v90(constB111, 2) | v120(constB111))),
% 54.34/34.52 inference(quant_inst,[status(thm)],[])).
% 54.34/34.52 tff(19897,plain,
% 54.34/34.52 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB111, 0)) | v90(constB111, 1) | v90(constB111, 2) | v120(constB111)),
% 54.34/34.52 inference(modus_ponens,[status(thm)],[19896, 19895])).
% 54.34/34.52 tff(19898,plain,
% 54.34/34.52 ((~v90(constB111, 0)) | v90(constB111, 1) | v90(constB111, 2)),
% 54.34/34.52 inference(unit_resolution,[status(thm)],[19897, 1414, 19894])).
% 54.34/34.52 tff(19899,plain,
% 54.34/34.52 ($false),
% 54.34/34.52 inference(unit_resolution,[status(thm)],[19898, 19893, 19859, 19828])).
% 54.34/34.52 tff(19900,plain,(v26(constB107) | v120(constB111) | v26(constB109) | (~v113(constB107)) | (~v130(constB107, 2)) | (~v130(constB107, 1)) | v130(constB107, 0)), inference(lemma,lemma(discharge,[]))).
% 54.34/34.52 tff(19901,plain,
% 54.34/34.52 (v120(constB111) | (~v113(constB107)) | (~v130(constB107, 2)) | (~v130(constB107, 1)) | v130(constB107, 0)),
% 54.34/34.52 inference(unit_resolution,[status(thm)],[19900, 19538, 19534])).
% 54.34/34.52 tff(19902,plain,
% 54.34/34.52 (v120(constB111)),
% 54.34/34.52 inference(unit_resolution,[status(thm)],[19901, 19530, 19519, 19515, 19511])).
% 54.34/34.52 tff(19903,plain,
% 54.34/34.52 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB111) | (~v120(constB111)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB111) | (~v120(constB111)))),
% 54.34/34.52 inference(rewrite,[status(thm)],[])).
% 54.34/34.52 tff(19904,plain,
% 54.34/34.52 (((~v120(constB111)) | v118(constB111)) <=> (v118(constB111) | (~v120(constB111)))),
% 54.34/34.52 inference(rewrite,[status(thm)],[])).
% 54.34/34.52 tff(19905,plain,
% 54.34/34.52 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB111)) | v118(constB111))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB111) | (~v120(constB111))))),
% 54.34/34.52 inference(monotonicity,[status(thm)],[19904])).
% 54.34/34.52 tff(19906,plain,
% 54.34/34.52 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB111)) | v118(constB111))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB111) | (~v120(constB111)))),
% 54.34/34.52 inference(transitivity,[status(thm)],[19905, 19903])).
% 54.34/34.52 tff(19907,plain,
% 54.34/34.52 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB111)) | v118(constB111))),
% 54.34/34.52 inference(quant_inst,[status(thm)],[])).
% 54.34/34.52 tff(19908,plain,
% 54.34/34.52 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB111) | (~v120(constB111))),
% 54.34/34.52 inference(modus_ponens,[status(thm)],[19907, 19906])).
% 54.34/34.52 tff(19909,plain,
% 54.34/34.52 (v118(constB111)),
% 54.34/34.52 inference(unit_resolution,[status(thm)],[19908, 1425, 19902])).
% 54.34/34.52 tff(19910,plain,
% 54.34/34.52 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB111) | (~v118(constB111)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB111) | (~v118(constB111)))),
% 54.34/34.52 inference(rewrite,[status(thm)],[])).
% 54.34/34.52 tff(19911,plain,
% 54.34/34.52 (((~v118(constB111)) | v117(constB111)) <=> (v117(constB111) | (~v118(constB111)))),
% 54.34/34.52 inference(rewrite,[status(thm)],[])).
% 54.34/34.52 tff(19912,plain,
% 54.34/34.52 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB111)) | v117(constB111))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB111) | (~v118(constB111))))),
% 54.34/34.52 inference(monotonicity,[status(thm)],[19911])).
% 54.34/34.52 tff(19913,plain,
% 54.34/34.52 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB111)) | v117(constB111))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB111) | (~v118(constB111)))),
% 54.34/34.52 inference(transitivity,[status(thm)],[19912, 19910])).
% 54.34/34.52 tff(19914,plain,
% 54.34/34.52 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB111)) | v117(constB111))),
% 54.34/34.52 inference(quant_inst,[status(thm)],[])).
% 54.34/34.52 tff(19915,plain,
% 54.34/34.52 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB111) | (~v118(constB111))),
% 54.34/34.52 inference(modus_ponens,[status(thm)],[19914, 19913])).
% 54.34/34.52 tff(19916,plain,
% 54.34/34.52 (v117(constB111)),
% 54.34/34.52 inference(unit_resolution,[status(thm)],[19915, 993, 19909])).
% 54.34/34.52 tff(19917,plain,
% 54.34/34.52 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB111) | (~v117(constB111)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB111) | (~v117(constB111)))),
% 54.34/34.52 inference(rewrite,[status(thm)],[])).
% 54.34/34.52 tff(19918,plain,
% 54.34/34.52 (((~v117(constB111)) | v116(constB111)) <=> (v116(constB111) | (~v117(constB111)))),
% 54.34/34.52 inference(rewrite,[status(thm)],[])).
% 54.34/34.52 tff(19919,plain,
% 54.34/34.52 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB111)) | v116(constB111))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB111) | (~v117(constB111))))),
% 54.34/34.52 inference(monotonicity,[status(thm)],[19918])).
% 54.34/34.52 tff(19920,plain,
% 54.34/34.52 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB111)) | v116(constB111))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB111) | (~v117(constB111)))),
% 54.34/34.52 inference(transitivity,[status(thm)],[19919, 19917])).
% 54.34/34.52 tff(19921,plain,
% 54.34/34.52 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB111)) | v116(constB111))),
% 54.34/34.52 inference(quant_inst,[status(thm)],[])).
% 54.34/34.52 tff(19922,plain,
% 54.34/34.52 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB111) | (~v117(constB111))),
% 54.34/34.52 inference(modus_ponens,[status(thm)],[19921, 19920])).
% 54.34/34.52 tff(19923,plain,
% 54.34/34.52 (v116(constB111)),
% 54.34/34.52 inference(unit_resolution,[status(thm)],[19922, 1007, 19916])).
% 54.34/34.52 tff(19924,plain,
% 54.34/34.52 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB111) | (~v116(constB111)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB111) | (~v116(constB111)))),
% 54.34/34.52 inference(rewrite,[status(thm)],[])).
% 54.34/34.52 tff(19925,plain,
% 54.34/34.52 (((~v116(constB111)) | v115(constB111)) <=> (v115(constB111) | (~v116(constB111)))),
% 54.34/34.52 inference(rewrite,[status(thm)],[])).
% 54.34/34.52 tff(19926,plain,
% 54.34/34.52 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB111)) | v115(constB111))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB111) | (~v116(constB111))))),
% 54.34/34.52 inference(monotonicity,[status(thm)],[19925])).
% 54.34/34.52 tff(19927,plain,
% 54.34/34.52 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB111)) | v115(constB111))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB111) | (~v116(constB111)))),
% 54.34/34.52 inference(transitivity,[status(thm)],[19926, 19924])).
% 54.34/34.52 tff(19928,plain,
% 54.34/34.52 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB111)) | v115(constB111))),
% 54.34/34.52 inference(quant_inst,[status(thm)],[])).
% 54.34/34.52 tff(19929,plain,
% 54.34/34.52 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB111) | (~v116(constB111))),
% 54.34/34.52 inference(modus_ponens,[status(thm)],[19928, 19927])).
% 54.34/34.52 tff(19930,plain,
% 54.34/34.52 (v115(constB111)),
% 54.34/34.52 inference(unit_resolution,[status(thm)],[19929, 1021, 19923])).
% 54.34/34.52 tff(19931,plain,
% 54.34/34.52 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB111) | (~v115(constB111)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB111) | (~v115(constB111)))),
% 54.34/34.52 inference(rewrite,[status(thm)],[])).
% 54.34/34.52 tff(19932,plain,
% 54.34/34.52 (((~v115(constB111)) | v114(constB111)) <=> (v114(constB111) | (~v115(constB111)))),
% 54.34/34.52 inference(rewrite,[status(thm)],[])).
% 54.34/34.52 tff(19933,plain,
% 54.34/34.52 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB111)) | v114(constB111))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB111) | (~v115(constB111))))),
% 54.34/34.52 inference(monotonicity,[status(thm)],[19932])).
% 54.34/34.52 tff(19934,plain,
% 54.34/34.52 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB111)) | v114(constB111))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB111) | (~v115(constB111)))),
% 54.34/34.52 inference(transitivity,[status(thm)],[19933, 19931])).
% 54.34/34.52 tff(19935,plain,
% 54.34/34.52 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB111)) | v114(constB111))),
% 54.34/34.52 inference(quant_inst,[status(thm)],[])).
% 54.34/34.52 tff(19936,plain,
% 54.34/34.52 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB111) | (~v115(constB111))),
% 54.34/34.52 inference(modus_ponens,[status(thm)],[19935, 19934])).
% 54.34/34.52 tff(19937,plain,
% 54.34/34.52 (v114(constB111)),
% 54.34/34.52 inference(unit_resolution,[status(thm)],[19936, 1035, 19930])).
% 54.34/34.52 tff(19938,plain,
% 54.34/34.52 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB111) | (~v114(constB111)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB111) | (~v114(constB111)))),
% 54.34/34.52 inference(rewrite,[status(thm)],[])).
% 54.34/34.52 tff(19939,plain,
% 54.34/34.52 (((~v114(constB111)) | v113(constB111)) <=> (v113(constB111) | (~v114(constB111)))),
% 54.34/34.52 inference(rewrite,[status(thm)],[])).
% 54.34/34.52 tff(19940,plain,
% 54.34/34.52 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB111)) | v113(constB111))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB111) | (~v114(constB111))))),
% 54.34/34.52 inference(monotonicity,[status(thm)],[19939])).
% 54.34/34.52 tff(19941,plain,
% 54.34/34.52 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB111)) | v113(constB111))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB111) | (~v114(constB111)))),
% 54.34/34.52 inference(transitivity,[status(thm)],[19940, 19938])).
% 54.34/34.52 tff(19942,plain,
% 54.34/34.52 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB111)) | v113(constB111))),
% 54.34/34.52 inference(quant_inst,[status(thm)],[])).
% 54.34/34.52 tff(19943,plain,
% 54.34/34.52 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB111) | (~v114(constB111))),
% 54.34/34.52 inference(modus_ponens,[status(thm)],[19942, 19941])).
% 54.34/34.52 tff(19944,plain,
% 54.34/34.52 (v113(constB111)),
% 54.34/34.52 inference(unit_resolution,[status(thm)],[19943, 1049, 19937])).
% 54.34/34.52 tff(19945,assumption,(v26(constB111)), introduced(assumption)).
% 54.34/34.52 tff(19946,plain,
% 54.34/34.52 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB111))),
% 54.34/34.52 inference(quant_inst,[status(thm)],[])).
% 54.34/34.52 tff(19947,plain,
% 54.34/34.52 ($false),
% 54.34/34.52 inference(unit_resolution,[status(thm)],[19946, 828, 19945])).
% 54.34/34.52 tff(19948,plain,(~v26(constB111)), inference(lemma,lemma(discharge,[]))).
% 54.34/34.52 tff(19949,plain,
% 54.34/34.52 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB111) | v112(constB111) | (~v113(constB111)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB111) | v112(constB111) | (~v113(constB111)))),
% 54.34/34.52 inference(rewrite,[status(thm)],[])).
% 54.34/34.52 tff(19950,plain,
% 54.34/34.52 ((v26(constB111) | (~v113(constB111)) | v112(constB111)) <=> (v26(constB111) | v112(constB111) | (~v113(constB111)))),
% 54.34/34.52 inference(rewrite,[status(thm)],[])).
% 54.34/34.52 tff(19951,plain,
% 54.34/34.52 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB111) | (~v113(constB111)) | v112(constB111))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB111) | v112(constB111) | (~v113(constB111))))),
% 54.34/34.52 inference(monotonicity,[status(thm)],[19950])).
% 54.34/34.52 tff(19952,plain,
% 54.34/34.52 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB111) | (~v113(constB111)) | v112(constB111))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB111) | v112(constB111) | (~v113(constB111)))),
% 54.34/34.52 inference(transitivity,[status(thm)],[19951, 19949])).
% 54.34/34.52 tff(19953,plain,
% 54.34/34.52 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB111) | (~v113(constB111)) | v112(constB111))),
% 54.34/34.52 inference(quant_inst,[status(thm)],[])).
% 54.34/34.52 tff(19954,plain,
% 54.34/34.52 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB111) | v112(constB111) | (~v113(constB111))),
% 54.34/34.52 inference(modus_ponens,[status(thm)],[19953, 19952])).
% 54.34/34.52 tff(19955,plain,
% 54.34/34.52 (v112(constB111) | (~v113(constB111))),
% 54.34/34.52 inference(unit_resolution,[status(thm)],[19954, 1063, 19948])).
% 54.34/34.52 tff(19956,plain,
% 54.34/34.52 (v112(constB111)),
% 54.34/34.52 inference(unit_resolution,[status(thm)],[19955, 19944])).
% 54.34/34.52 tff(19957,plain,
% 54.34/34.52 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB111) | (~v112(constB111)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB111) | (~v112(constB111)))),
% 54.34/34.52 inference(rewrite,[status(thm)],[])).
% 54.34/34.52 tff(19958,plain,
% 54.34/34.52 (((~v112(constB111)) | v108(constB111)) <=> (v108(constB111) | (~v112(constB111)))),
% 54.34/34.52 inference(rewrite,[status(thm)],[])).
% 54.34/34.52 tff(19959,plain,
% 54.34/34.52 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB111)) | v108(constB111))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB111) | (~v112(constB111))))),
% 54.34/34.52 inference(monotonicity,[status(thm)],[19958])).
% 54.34/34.52 tff(19960,plain,
% 54.34/34.52 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB111)) | v108(constB111))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB111) | (~v112(constB111)))),
% 54.34/34.52 inference(transitivity,[status(thm)],[19959, 19957])).
% 54.34/34.52 tff(19961,plain,
% 54.34/34.52 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB111)) | v108(constB111))),
% 54.34/34.52 inference(quant_inst,[status(thm)],[])).
% 54.34/34.52 tff(19962,plain,
% 54.34/34.52 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB111) | (~v112(constB111))),
% 54.34/34.52 inference(modus_ponens,[status(thm)],[19961, 19960])).
% 54.34/34.52 tff(19963,plain,
% 54.34/34.52 (v108(constB111)),
% 54.34/34.52 inference(unit_resolution,[status(thm)],[19962, 1075, 19956])).
% 54.34/34.52 tff(19964,plain,
% 54.34/34.52 (nextState(constB111, constB112) <=> nextState(constB111, constB112)),
% 54.34/34.52 inference(rewrite,[status(thm)],[])).
% 54.34/34.52 tff(19965,axiom,(nextState(constB111, constB112)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_111_1')).
% 54.34/34.52 tff(19966,plain,
% 54.34/34.52 (nextState(constB111, constB112)),
% 54.34/34.52 inference(modus_ponens,[status(thm)],[19965, 19964])).
% 54.34/34.52 tff(19967,plain,
% 54.34/34.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111)))),
% 54.34/34.52 inference(rewrite,[status(thm)],[])).
% 54.34/34.52 tff(19968,plain,
% 54.34/34.52 (((~nextState(constB111, constB112)) | (~v108(constB111)) | v110(constB112)) <=> ((~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111)))),
% 54.34/34.52 inference(rewrite,[status(thm)],[])).
% 54.34/34.52 tff(19969,plain,
% 54.34/34.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB111, constB112)) | (~v108(constB111)) | v110(constB112))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111))))),
% 54.34/34.52 inference(monotonicity,[status(thm)],[19968])).
% 54.34/34.52 tff(19970,plain,
% 54.34/34.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB111, constB112)) | (~v108(constB111)) | v110(constB112))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111)))),
% 54.34/34.52 inference(transitivity,[status(thm)],[19969, 19967])).
% 54.34/34.52 tff(19971,plain,
% 54.34/34.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB111, constB112)) | (~v108(constB111)) | v110(constB112))),
% 54.34/34.52 inference(quant_inst,[status(thm)],[])).
% 54.34/34.52 tff(19972,plain,
% 54.34/34.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB111, constB112)) | v110(constB112) | (~v108(constB111))),
% 54.34/34.52 inference(modus_ponens,[status(thm)],[19971, 19970])).
% 54.34/34.52 tff(19973,plain,
% 54.34/34.52 (v110(constB112) | (~v108(constB111))),
% 54.34/34.52 inference(unit_resolution,[status(thm)],[19972, 1095, 19966])).
% 54.34/34.52 tff(19974,plain,
% 54.34/34.52 (v110(constB112)),
% 54.34/34.52 inference(unit_resolution,[status(thm)],[19973, 19963])).
% 54.34/34.52 tff(19975,plain,
% 54.34/34.52 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB111) | (~nextState(constB111, constB112)) | (~v104(constB112)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB111) | (~nextState(constB111, constB112)) | (~v104(constB112)))),
% 54.34/34.52 inference(rewrite,[status(thm)],[])).
% 54.34/34.52 tff(19976,plain,
% 54.34/34.52 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB111) | (~nextState(constB111, constB112)) | (~v104(constB112)))),
% 54.34/34.52 inference(quant_inst,[status(thm)],[])).
% 54.34/34.52 tff(19977,plain,
% 54.34/34.52 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB111) | (~nextState(constB111, constB112)) | (~v104(constB112))),
% 54.34/34.52 inference(modus_ponens,[status(thm)],[19976, 19975])).
% 54.34/34.52 tff(19978,plain,
% 54.34/34.52 (~v104(constB112)),
% 54.34/34.52 inference(unit_resolution,[status(thm)],[19977, 1113, 19966, 19804])).
% 54.34/34.52 tff(19979,plain,
% 54.34/34.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB111, constB112)) | v102(constB112) | v104(constB112))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB111, constB112)) | v102(constB112) | v104(constB112))),
% 54.34/34.52 inference(rewrite,[status(thm)],[])).
% 54.34/34.52 tff(19980,plain,
% 54.34/34.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB111, constB112)) | v102(constB112) | v104(constB112))),
% 54.34/34.52 inference(quant_inst,[status(thm)],[])).
% 54.34/34.52 tff(19981,plain,
% 54.34/34.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB111, constB112)) | v102(constB112) | v104(constB112)),
% 54.34/34.52 inference(modus_ponens,[status(thm)],[19980, 19979])).
% 54.34/34.52 tff(19982,plain,
% 54.34/34.52 (v102(constB112) | v104(constB112)),
% 54.34/34.52 inference(unit_resolution,[status(thm)],[19981, 1127, 19966])).
% 54.34/34.52 tff(19983,plain,
% 54.34/34.52 (v102(constB112)),
% 54.34/34.52 inference(unit_resolution,[status(thm)],[19982, 19978])).
% 54.34/34.52 tff(19984,plain,
% 54.34/34.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB111, constB112)) | v101(constB112) | (~v102(constB112)) | (~v1(constB112)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB111, constB112)) | v101(constB112) | (~v102(constB112)) | (~v1(constB112)))),
% 54.34/34.52 inference(rewrite,[status(thm)],[])).
% 54.34/34.52 tff(19985,plain,
% 54.34/34.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB111, constB112)) | v101(constB112) | (~v102(constB112)) | (~v1(constB112)))),
% 54.34/34.52 inference(quant_inst,[status(thm)],[])).
% 54.34/34.52 tff(19986,plain,
% 54.34/34.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB111, constB112)) | v101(constB112) | (~v102(constB112)) | (~v1(constB112))),
% 54.34/34.52 inference(modus_ponens,[status(thm)],[19985, 19984])).
% 54.34/34.52 tff(19987,plain,
% 54.34/34.52 (v101(constB112) | (~v102(constB112))),
% 54.34/34.52 inference(unit_resolution,[status(thm)],[19986, 1145, 19966, 596])).
% 54.34/34.52 tff(19988,plain,
% 54.34/34.52 (v101(constB112)),
% 54.34/34.52 inference(unit_resolution,[status(thm)],[19987, 19983])).
% 54.34/34.52 tff(19989,plain,
% 54.34/34.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112)))),
% 54.34/34.52 inference(rewrite,[status(thm)],[])).
% 54.34/34.52 tff(19990,plain,
% 54.34/34.52 (((~nextState(constB111, constB112)) | (~v101(constB112)) | (~v110(constB112)) | v100(constB112)) <=> ((~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112)))),
% 54.34/34.52 inference(rewrite,[status(thm)],[])).
% 54.34/34.52 tff(19991,plain,
% 54.34/34.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB111, constB112)) | (~v101(constB112)) | (~v110(constB112)) | v100(constB112))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112))))),
% 54.34/34.52 inference(monotonicity,[status(thm)],[19990])).
% 54.34/34.52 tff(19992,plain,
% 54.34/34.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB111, constB112)) | (~v101(constB112)) | (~v110(constB112)) | v100(constB112))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112)))),
% 54.34/34.52 inference(transitivity,[status(thm)],[19991, 19989])).
% 54.34/34.52 tff(19993,plain,
% 54.34/34.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB111, constB112)) | (~v101(constB112)) | (~v110(constB112)) | v100(constB112))),
% 54.34/34.52 inference(quant_inst,[status(thm)],[])).
% 54.34/34.52 tff(19994,plain,
% 54.34/34.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB111, constB112)) | v100(constB112) | (~v101(constB112)) | (~v110(constB112))),
% 54.34/34.52 inference(modus_ponens,[status(thm)],[19993, 19992])).
% 54.34/34.52 tff(19995,plain,
% 54.34/34.52 (v100(constB112) | (~v101(constB112)) | (~v110(constB112))),
% 54.34/34.52 inference(unit_resolution,[status(thm)],[19994, 1160, 19966])).
% 54.34/34.52 tff(19996,plain,
% 54.34/34.52 (v100(constB112) | (~v110(constB112))),
% 54.34/34.52 inference(unit_resolution,[status(thm)],[19995, 19988])).
% 54.34/34.52 tff(19997,plain,
% 54.34/34.52 (v100(constB112)),
% 54.34/34.52 inference(unit_resolution,[status(thm)],[19996, 19974])).
% 54.34/34.52 tff(19998,plain,
% 54.34/34.52 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB111)) | (~v130(constB111, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB111)) | (~v130(constB111, 2)))),
% 54.34/34.53 inference(rewrite,[status(thm)],[])).
% 54.34/34.53 tff(19999,plain,
% 54.34/34.53 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB111)) | (~v130(constB111, 2)))),
% 54.34/34.53 inference(quant_inst,[status(thm)],[])).
% 54.34/34.53 tff(20000,plain,
% 54.34/34.53 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB111)) | (~v130(constB111, 2))),
% 54.34/34.53 inference(modus_ponens,[status(thm)],[19999, 19998])).
% 54.34/34.53 tff(20001,plain,
% 54.34/34.53 (~v130(constB111, 2)),
% 54.34/34.53 inference(unit_resolution,[status(thm)],[20000, 1523, 19902])).
% 54.34/34.53 tff(20002,plain,
% 54.34/34.53 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB111, 2)) | v26(constB111) | v130(constB111, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB111, 2)) | v26(constB111) | v130(constB111, 2))),
% 54.34/34.53 inference(rewrite,[status(thm)],[])).
% 54.34/34.53 tff(20003,plain,
% 54.34/34.53 ((v26(constB111) | v130(constB111, 2) | (~v127(constB111, 2))) <=> ((~v127(constB111, 2)) | v26(constB111) | v130(constB111, 2))),
% 54.34/34.53 inference(rewrite,[status(thm)],[])).
% 54.34/34.53 tff(20004,plain,
% 54.34/34.53 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB111) | v130(constB111, 2) | (~v127(constB111, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB111, 2)) | v26(constB111) | v130(constB111, 2)))),
% 54.34/34.53 inference(monotonicity,[status(thm)],[20003])).
% 54.34/34.53 tff(20005,plain,
% 54.34/34.53 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB111) | v130(constB111, 2) | (~v127(constB111, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB111, 2)) | v26(constB111) | v130(constB111, 2))),
% 54.34/34.53 inference(transitivity,[status(thm)],[20004, 20002])).
% 54.34/34.53 tff(20006,plain,
% 54.34/34.53 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB111) | v130(constB111, 2) | (~v127(constB111, 2)))),
% 54.34/34.53 inference(quant_inst,[status(thm)],[])).
% 54.34/34.53 tff(20007,plain,
% 54.34/34.53 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB111, 2)) | v26(constB111) | v130(constB111, 2)),
% 54.34/34.53 inference(modus_ponens,[status(thm)],[20006, 20005])).
% 54.34/34.53 tff(20008,plain,
% 54.34/34.53 ((~v127(constB111, 2)) | v130(constB111, 2)),
% 54.34/34.53 inference(unit_resolution,[status(thm)],[20007, 1190, 19948])).
% 54.34/34.53 tff(20009,plain,
% 54.34/34.53 (~v127(constB111, 2)),
% 54.34/34.53 inference(unit_resolution,[status(thm)],[20008, 20001])).
% 54.34/34.53 tff(20010,plain,
% 54.34/34.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB111, constB112)) | v127(constB111, 2) | (~v129(constB112, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB111, constB112)) | v127(constB111, 2) | (~v129(constB112, 2)))),
% 54.34/34.53 inference(rewrite,[status(thm)],[])).
% 54.34/34.53 tff(20011,plain,
% 54.34/34.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB111, constB112)) | v127(constB111, 2) | (~v129(constB112, 2)))),
% 54.34/34.53 inference(quant_inst,[status(thm)],[])).
% 54.34/34.53 tff(20012,plain,
% 54.34/34.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB111, constB112)) | v127(constB111, 2) | (~v129(constB112, 2))),
% 54.34/34.53 inference(modus_ponens,[status(thm)],[20011, 20010])).
% 54.34/34.53 tff(20013,plain,
% 54.34/34.53 (v127(constB111, 2) | (~v129(constB112, 2))),
% 54.34/34.53 inference(unit_resolution,[status(thm)],[20012, 1208, 19966])).
% 54.34/34.53 tff(20014,plain,
% 54.34/34.53 (~v129(constB112, 2)),
% 54.34/34.53 inference(unit_resolution,[status(thm)],[20013, 20009])).
% 54.34/34.53 tff(20015,plain,
% 54.34/34.53 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB112, 2)) | v129(constB112, 2) | (~v100(constB112)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB112, 2)) | v129(constB112, 2) | (~v100(constB112)))),
% 54.34/34.53 inference(rewrite,[status(thm)],[])).
% 54.34/34.53 tff(20016,plain,
% 54.34/34.53 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB112, 2)) | v129(constB112, 2) | (~v100(constB112)))),
% 54.34/34.53 inference(quant_inst,[status(thm)],[])).
% 54.34/34.53 tff(20017,plain,
% 54.34/34.53 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB112, 2)) | v129(constB112, 2) | (~v100(constB112))),
% 54.34/34.53 inference(modus_ponens,[status(thm)],[20016, 20015])).
% 54.34/34.53 tff(20018,plain,
% 54.34/34.53 ((~v90(constB112, 2)) | (~v100(constB112))),
% 54.34/34.53 inference(unit_resolution,[status(thm)],[20017, 1223, 20014])).
% 54.34/34.53 tff(20019,plain,
% 54.34/34.53 (~v90(constB112, 2)),
% 54.34/34.53 inference(unit_resolution,[status(thm)],[20018, 19997])).
% 54.34/34.53 tff(20020,plain,
% 54.34/34.53 ((~v1(constB113)) <=> (~v1(constB113))),
% 54.34/34.53 inference(rewrite,[status(thm)],[])).
% 54.34/34.53 tff(20021,axiom,(~v1(constB113)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_113_1_1')).
% 54.34/34.53 tff(20022,plain,
% 54.34/34.53 (~v1(constB113)),
% 54.34/34.53 inference(modus_ponens,[status(thm)],[20021, 20020])).
% 54.34/34.53 tff(20023,plain,
% 54.34/34.53 (nextState(constB112, constB113) <=> nextState(constB112, constB113)),
% 54.34/34.53 inference(rewrite,[status(thm)],[])).
% 54.34/34.53 tff(20024,axiom,(nextState(constB112, constB113)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_112_1')).
% 54.34/34.53 tff(20025,plain,
% 54.34/34.53 (nextState(constB112, constB113)),
% 54.34/34.53 inference(modus_ponens,[status(thm)],[20024, 20023])).
% 54.34/34.53 tff(20026,plain,
% 54.34/34.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113)))),
% 54.34/34.53 inference(rewrite,[status(thm)],[])).
% 54.34/34.53 tff(20027,plain,
% 54.34/34.53 (((~nextState(constB112, constB113)) | (~v101(constB113)) | v1(constB113)) <=> (v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113)))),
% 54.34/34.53 inference(rewrite,[status(thm)],[])).
% 54.34/34.53 tff(20028,plain,
% 54.34/34.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB112, constB113)) | (~v101(constB113)) | v1(constB113))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113))))),
% 54.34/34.53 inference(monotonicity,[status(thm)],[20027])).
% 54.34/34.53 tff(20029,plain,
% 54.34/34.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB112, constB113)) | (~v101(constB113)) | v1(constB113))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113)))),
% 54.34/34.53 inference(transitivity,[status(thm)],[20028, 20026])).
% 54.34/34.53 tff(20030,plain,
% 54.34/34.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB112, constB113)) | (~v101(constB113)) | v1(constB113))),
% 54.34/34.53 inference(quant_inst,[status(thm)],[])).
% 54.34/34.53 tff(20031,plain,
% 54.34/34.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB113) | (~nextState(constB112, constB113)) | (~v101(constB113))),
% 54.34/34.53 inference(modus_ponens,[status(thm)],[20030, 20029])).
% 54.34/34.53 tff(20032,plain,
% 54.34/34.53 (~v101(constB113)),
% 54.34/34.53 inference(unit_resolution,[status(thm)],[20031, 873, 20025, 20022])).
% 54.34/34.53 tff(20033,plain,
% 54.34/34.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB112, constB113)) | v101(constB113) | (~v100(constB113)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB112, constB113)) | v101(constB113) | (~v100(constB113)))),
% 54.34/34.53 inference(rewrite,[status(thm)],[])).
% 54.34/34.53 tff(20034,plain,
% 54.34/34.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB112, constB113)) | v101(constB113) | (~v100(constB113)))),
% 54.34/34.53 inference(quant_inst,[status(thm)],[])).
% 54.34/34.53 tff(20035,plain,
% 54.34/34.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB112, constB113)) | v101(constB113) | (~v100(constB113))),
% 54.34/34.53 inference(modus_ponens,[status(thm)],[20034, 20033])).
% 54.34/34.53 tff(20036,plain,
% 54.34/34.53 (v101(constB113) | (~v100(constB113))),
% 54.34/34.53 inference(unit_resolution,[status(thm)],[20035, 890, 20025])).
% 54.34/34.53 tff(20037,plain,
% 54.34/34.53 (~v100(constB113)),
% 54.34/34.53 inference(unit_resolution,[status(thm)],[20036, 20032])).
% 54.34/34.53 tff(20038,plain,
% 54.34/34.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB112, 2) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB112, 2) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, 2)))),
% 54.34/34.53 inference(rewrite,[status(thm)],[])).
% 54.34/34.53 tff(20039,plain,
% 54.34/34.53 (((~nextState(constB112, constB113)) | v90(constB112, 2) | v100(constB113) | (~v90(constB113, 2))) <=> (v90(constB112, 2) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, 2)))),
% 54.34/34.53 inference(rewrite,[status(thm)],[])).
% 54.34/34.53 tff(20040,plain,
% 54.34/34.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB112, constB113)) | v90(constB112, 2) | v100(constB113) | (~v90(constB113, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB112, 2) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, 2))))),
% 54.34/34.53 inference(monotonicity,[status(thm)],[20039])).
% 54.34/34.53 tff(20041,plain,
% 54.34/34.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB112, constB113)) | v90(constB112, 2) | v100(constB113) | (~v90(constB113, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB112, 2) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, 2)))),
% 54.34/34.53 inference(transitivity,[status(thm)],[20040, 20038])).
% 54.34/34.53 tff(20042,plain,
% 54.34/34.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB112, constB113)) | v90(constB112, 2) | v100(constB113) | (~v90(constB113, 2)))),
% 54.34/34.53 inference(quant_inst,[status(thm)],[])).
% 54.34/34.53 tff(20043,plain,
% 54.34/34.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB112, 2) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, 2))),
% 54.34/34.53 inference(modus_ponens,[status(thm)],[20042, 20041])).
% 54.34/34.53 tff(20044,plain,
% 54.34/34.53 (v90(constB112, 2) | v100(constB113) | (~v90(constB113, 2))),
% 54.34/34.53 inference(unit_resolution,[status(thm)],[20043, 905, 20025])).
% 54.34/34.53 tff(20045,plain,
% 54.34/34.53 (v90(constB112, 2) | (~v90(constB113, 2))),
% 54.34/34.53 inference(unit_resolution,[status(thm)],[20044, 20037])).
% 54.34/34.53 tff(20046,plain,
% 54.34/34.53 (~v90(constB113, 2)),
% 54.34/34.53 inference(unit_resolution,[status(thm)],[20045, 20019])).
% 54.34/34.53 tff(20047,plain,
% 54.34/34.53 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB111)) | v130(constB111, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB111)) | v130(constB111, 1))),
% 54.34/34.53 inference(rewrite,[status(thm)],[])).
% 54.34/34.53 tff(20048,plain,
% 54.34/34.53 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB111)) | v130(constB111, 1))),
% 54.34/34.53 inference(quant_inst,[status(thm)],[])).
% 54.34/34.53 tff(20049,plain,
% 54.34/34.53 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB111)) | v130(constB111, 1)),
% 54.34/34.53 inference(modus_ponens,[status(thm)],[20048, 20047])).
% 54.34/34.53 tff(20050,plain,
% 54.34/34.53 (v130(constB111, 1)),
% 54.34/34.53 inference(unit_resolution,[status(thm)],[20049, 1579, 19902])).
% 54.34/34.53 tff(20051,plain,
% 54.34/34.53 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB111) | (~v130(constB111, 1)) | v127(constB111, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB111) | (~v130(constB111, 1)) | v127(constB111, 1))),
% 54.34/34.53 inference(rewrite,[status(thm)],[])).
% 54.34/34.53 tff(20052,plain,
% 54.34/34.53 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB111) | (~v130(constB111, 1)) | v127(constB111, 1))),
% 54.34/34.53 inference(quant_inst,[status(thm)],[])).
% 54.34/34.53 tff(20053,plain,
% 54.34/34.53 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB111) | (~v130(constB111, 1)) | v127(constB111, 1)),
% 54.34/34.53 inference(modus_ponens,[status(thm)],[20052, 20051])).
% 54.34/34.53 tff(20054,plain,
% 54.34/34.53 ((~v130(constB111, 1)) | v127(constB111, 1)),
% 54.34/34.53 inference(unit_resolution,[status(thm)],[20053, 1593, 19948])).
% 54.34/34.53 tff(20055,plain,
% 54.34/34.53 (v127(constB111, 1)),
% 54.34/34.53 inference(unit_resolution,[status(thm)],[20054, 20050])).
% 54.34/34.53 tff(20056,plain,
% 54.34/34.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB111, constB112)) | (~v127(constB111, 1)) | v129(constB112, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB111, constB112)) | (~v127(constB111, 1)) | v129(constB112, 1))),
% 54.34/34.53 inference(rewrite,[status(thm)],[])).
% 54.34/34.53 tff(20057,plain,
% 54.34/34.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB111, constB112)) | (~v127(constB111, 1)) | v129(constB112, 1))),
% 54.34/34.53 inference(quant_inst,[status(thm)],[])).
% 54.34/34.53 tff(20058,plain,
% 54.34/34.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB111, constB112)) | (~v127(constB111, 1)) | v129(constB112, 1)),
% 54.34/34.53 inference(modus_ponens,[status(thm)],[20057, 20056])).
% 54.34/34.53 tff(20059,plain,
% 54.34/34.53 ((~v127(constB111, 1)) | v129(constB112, 1)),
% 54.34/34.53 inference(unit_resolution,[status(thm)],[20058, 1608, 19966])).
% 54.34/34.53 tff(20060,plain,
% 54.34/34.53 (v129(constB112, 1)),
% 54.34/34.53 inference(unit_resolution,[status(thm)],[20059, 20055])).
% 54.34/34.53 tff(20061,plain,
% 54.34/34.53 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB112, 1) | (~v129(constB112, 1)) | (~v100(constB112)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB112, 1) | (~v129(constB112, 1)) | (~v100(constB112)))),
% 54.34/34.53 inference(rewrite,[status(thm)],[])).
% 54.34/34.53 tff(20062,plain,
% 54.34/34.53 ((v90(constB112, 1) | (~v100(constB112)) | (~v129(constB112, 1))) <=> (v90(constB112, 1) | (~v129(constB112, 1)) | (~v100(constB112)))),
% 54.34/34.53 inference(rewrite,[status(thm)],[])).
% 54.34/34.53 tff(20063,plain,
% 54.34/34.53 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB112, 1) | (~v100(constB112)) | (~v129(constB112, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB112, 1) | (~v129(constB112, 1)) | (~v100(constB112))))),
% 54.34/34.53 inference(monotonicity,[status(thm)],[20062])).
% 54.34/34.53 tff(20064,plain,
% 54.34/34.53 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB112, 1) | (~v100(constB112)) | (~v129(constB112, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB112, 1) | (~v129(constB112, 1)) | (~v100(constB112)))),
% 54.34/34.53 inference(transitivity,[status(thm)],[20063, 20061])).
% 54.34/34.53 tff(20065,plain,
% 54.34/34.53 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB112, 1) | (~v100(constB112)) | (~v129(constB112, 1)))),
% 54.34/34.53 inference(quant_inst,[status(thm)],[])).
% 54.34/34.53 tff(20066,plain,
% 54.34/34.53 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB112, 1) | (~v129(constB112, 1)) | (~v100(constB112))),
% 54.34/34.53 inference(modus_ponens,[status(thm)],[20065, 20064])).
% 54.34/34.53 tff(20067,plain,
% 54.34/34.53 (v90(constB112, 1) | (~v100(constB112))),
% 54.34/34.53 inference(unit_resolution,[status(thm)],[20066, 1623, 20060])).
% 54.34/34.53 tff(20068,plain,
% 54.34/34.53 (v90(constB112, 1)),
% 54.34/34.53 inference(unit_resolution,[status(thm)],[20067, 19997])).
% 54.34/34.53 tff(20069,plain,
% 54.34/34.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB112, 1)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB112, 1)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, 1))),
% 54.34/34.53 inference(rewrite,[status(thm)],[])).
% 54.34/34.53 tff(20070,plain,
% 54.34/34.53 (((~nextState(constB112, constB113)) | (~v90(constB112, 1)) | v100(constB113) | v90(constB113, 1)) <=> ((~v90(constB112, 1)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, 1))),
% 54.34/34.53 inference(rewrite,[status(thm)],[])).
% 54.34/34.53 tff(20071,plain,
% 54.34/34.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB112, constB113)) | (~v90(constB112, 1)) | v100(constB113) | v90(constB113, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB112, 1)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, 1)))),
% 54.34/34.53 inference(monotonicity,[status(thm)],[20070])).
% 54.34/34.53 tff(20072,plain,
% 54.34/34.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB112, constB113)) | (~v90(constB112, 1)) | v100(constB113) | v90(constB113, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB112, 1)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, 1))),
% 54.34/34.53 inference(transitivity,[status(thm)],[20071, 20069])).
% 54.34/34.53 tff(20073,plain,
% 54.34/34.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB112, constB113)) | (~v90(constB112, 1)) | v100(constB113) | v90(constB113, 1))),
% 54.34/34.53 inference(quant_inst,[status(thm)],[])).
% 54.34/34.53 tff(20074,plain,
% 54.34/34.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB112, 1)) | (~nextState(constB112, constB113)) | v100(constB113) | v90(constB113, 1)),
% 54.34/34.53 inference(modus_ponens,[status(thm)],[20073, 20072])).
% 54.34/34.53 tff(20075,plain,
% 54.34/34.53 ((~v90(constB112, 1)) | v100(constB113) | v90(constB113, 1)),
% 54.34/34.53 inference(unit_resolution,[status(thm)],[20074, 1641, 20025])).
% 54.34/34.53 tff(20076,plain,
% 54.34/34.53 ((~v90(constB112, 1)) | v90(constB113, 1)),
% 54.34/34.53 inference(unit_resolution,[status(thm)],[20075, 20037])).
% 54.34/34.53 tff(20077,plain,
% 54.34/34.53 (v90(constB113, 1)),
% 54.34/34.53 inference(unit_resolution,[status(thm)],[20076, 20068])).
% 54.34/34.53 tff(20078,plain,
% 54.34/34.53 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB111)) | (~v130(constB111, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB111)) | (~v130(constB111, 0)))),
% 54.34/34.53 inference(rewrite,[status(thm)],[])).
% 54.34/34.53 tff(20079,plain,
% 54.34/34.53 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB111)) | (~v130(constB111, 0)))),
% 54.34/34.53 inference(quant_inst,[status(thm)],[])).
% 54.34/34.53 tff(20080,plain,
% 54.34/34.53 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB111)) | (~v130(constB111, 0))),
% 54.34/34.53 inference(modus_ponens,[status(thm)],[20079, 20078])).
% 54.34/34.53 tff(20081,plain,
% 54.34/34.53 (~v130(constB111, 0)),
% 54.34/34.53 inference(unit_resolution,[status(thm)],[20080, 1657, 19902])).
% 54.34/34.53 tff(20082,plain,
% 54.34/34.53 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB111, 0)) | v26(constB111) | v130(constB111, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB111, 0)) | v26(constB111) | v130(constB111, 0))),
% 54.34/34.53 inference(rewrite,[status(thm)],[])).
% 54.34/34.53 tff(20083,plain,
% 54.34/34.53 ((v26(constB111) | v130(constB111, 0) | (~v127(constB111, 0))) <=> ((~v127(constB111, 0)) | v26(constB111) | v130(constB111, 0))),
% 54.34/34.53 inference(rewrite,[status(thm)],[])).
% 54.34/34.53 tff(20084,plain,
% 54.34/34.53 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB111) | v130(constB111, 0) | (~v127(constB111, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB111, 0)) | v26(constB111) | v130(constB111, 0)))),
% 54.34/34.53 inference(monotonicity,[status(thm)],[20083])).
% 54.34/34.53 tff(20085,plain,
% 54.34/34.53 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB111) | v130(constB111, 0) | (~v127(constB111, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB111, 0)) | v26(constB111) | v130(constB111, 0))),
% 54.34/34.53 inference(transitivity,[status(thm)],[20084, 20082])).
% 54.34/34.53 tff(20086,plain,
% 54.34/34.53 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB111) | v130(constB111, 0) | (~v127(constB111, 0)))),
% 54.34/34.53 inference(quant_inst,[status(thm)],[])).
% 54.34/34.53 tff(20087,plain,
% 54.34/34.53 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB111, 0)) | v26(constB111) | v130(constB111, 0)),
% 54.34/34.53 inference(modus_ponens,[status(thm)],[20086, 20085])).
% 54.34/34.53 tff(20088,plain,
% 54.34/34.53 ((~v127(constB111, 0)) | v130(constB111, 0)),
% 54.34/34.53 inference(unit_resolution,[status(thm)],[20087, 1671, 19948])).
% 54.34/34.53 tff(20089,plain,
% 54.34/34.53 (~v127(constB111, 0)),
% 54.34/34.53 inference(unit_resolution,[status(thm)],[20088, 20081])).
% 54.34/34.53 tff(20090,plain,
% 54.34/34.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB111, constB112)) | v127(constB111, 0) | (~v129(constB112, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB111, constB112)) | v127(constB111, 0) | (~v129(constB112, 0)))),
% 54.34/34.53 inference(rewrite,[status(thm)],[])).
% 54.34/34.53 tff(20091,plain,
% 54.34/34.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB111, constB112)) | v127(constB111, 0) | (~v129(constB112, 0)))),
% 54.34/34.53 inference(quant_inst,[status(thm)],[])).
% 54.34/34.53 tff(20092,plain,
% 54.34/34.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB111, constB112)) | v127(constB111, 0) | (~v129(constB112, 0))),
% 54.34/34.53 inference(modus_ponens,[status(thm)],[20091, 20090])).
% 54.34/34.53 tff(20093,plain,
% 54.34/34.53 (v127(constB111, 0) | (~v129(constB112, 0))),
% 54.34/34.53 inference(unit_resolution,[status(thm)],[20092, 1689, 19966])).
% 54.34/34.53 tff(20094,plain,
% 54.34/34.53 (~v129(constB112, 0)),
% 54.34/34.53 inference(unit_resolution,[status(thm)],[20093, 20089])).
% 54.34/34.53 tff(20095,plain,
% 54.34/34.53 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB112, 0)) | v129(constB112, 0) | (~v100(constB112)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB112, 0)) | v129(constB112, 0) | (~v100(constB112)))),
% 54.34/34.53 inference(rewrite,[status(thm)],[])).
% 54.34/34.53 tff(20096,plain,
% 54.34/34.53 (((~v90(constB112, 0)) | (~v100(constB112)) | v129(constB112, 0)) <=> ((~v90(constB112, 0)) | v129(constB112, 0) | (~v100(constB112)))),
% 54.34/34.53 inference(rewrite,[status(thm)],[])).
% 54.34/34.53 tff(20097,plain,
% 54.34/34.53 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB112, 0)) | (~v100(constB112)) | v129(constB112, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB112, 0)) | v129(constB112, 0) | (~v100(constB112))))),
% 54.34/34.53 inference(monotonicity,[status(thm)],[20096])).
% 54.34/34.53 tff(20098,plain,
% 54.34/34.53 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB112, 0)) | (~v100(constB112)) | v129(constB112, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB112, 0)) | v129(constB112, 0) | (~v100(constB112)))),
% 54.34/34.53 inference(transitivity,[status(thm)],[20097, 20095])).
% 54.34/34.53 tff(20099,plain,
% 54.34/34.53 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB112, 0)) | (~v100(constB112)) | v129(constB112, 0))),
% 54.34/34.53 inference(quant_inst,[status(thm)],[])).
% 54.34/34.53 tff(20100,plain,
% 54.34/34.53 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB112, 0)) | v129(constB112, 0) | (~v100(constB112))),
% 54.34/34.53 inference(modus_ponens,[status(thm)],[20099, 20098])).
% 54.34/34.53 tff(20101,plain,
% 54.34/34.53 ((~v90(constB112, 0)) | (~v100(constB112))),
% 54.34/34.53 inference(unit_resolution,[status(thm)],[20100, 1704, 20094])).
% 54.34/34.53 tff(20102,plain,
% 54.34/34.53 (~v90(constB112, 0)),
% 54.34/34.53 inference(unit_resolution,[status(thm)],[20101, 19997])).
% 54.34/34.53 tff(20103,plain,
% 54.34/34.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB112, 0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB112, 0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, 0)))),
% 54.34/34.53 inference(rewrite,[status(thm)],[])).
% 54.34/34.53 tff(20104,plain,
% 54.34/34.53 (((~nextState(constB112, constB113)) | v90(constB112, 0) | v100(constB113) | (~v90(constB113, 0))) <=> (v90(constB112, 0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, 0)))),
% 54.34/34.53 inference(rewrite,[status(thm)],[])).
% 54.34/34.53 tff(20105,plain,
% 54.34/34.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB112, constB113)) | v90(constB112, 0) | v100(constB113) | (~v90(constB113, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB112, 0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, 0))))),
% 54.34/34.53 inference(monotonicity,[status(thm)],[20104])).
% 54.34/34.53 tff(20106,plain,
% 54.34/34.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB112, constB113)) | v90(constB112, 0) | v100(constB113) | (~v90(constB113, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB112, 0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, 0)))),
% 54.34/34.53 inference(transitivity,[status(thm)],[20105, 20103])).
% 54.34/34.53 tff(20107,plain,
% 54.34/34.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB112, constB113)) | v90(constB112, 0) | v100(constB113) | (~v90(constB113, 0)))),
% 54.34/34.53 inference(quant_inst,[status(thm)],[])).
% 54.34/34.53 tff(20108,plain,
% 54.34/34.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB112, 0) | (~nextState(constB112, constB113)) | v100(constB113) | (~v90(constB113, 0))),
% 54.34/34.53 inference(modus_ponens,[status(thm)],[20107, 20106])).
% 54.34/34.53 tff(20109,plain,
% 54.34/34.53 (v90(constB112, 0) | v100(constB113) | (~v90(constB113, 0))),
% 54.34/34.53 inference(unit_resolution,[status(thm)],[20108, 947, 20025])).
% 54.34/34.53 tff(20110,plain,
% 54.34/34.53 (v90(constB112, 0) | (~v90(constB113, 0))),
% 54.34/34.53 inference(unit_resolution,[status(thm)],[20109, 20037])).
% 54.34/34.53 tff(20111,plain,
% 54.34/34.53 (~v90(constB113, 0)),
% 54.34/34.53 inference(unit_resolution,[status(thm)],[20110, 20102])).
% 54.34/34.53 tff(20112,plain,
% 54.34/34.53 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB113, 0) | (~v90(constB113, 1)) | v90(constB113, 2) | v121(constB113))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB113, 0) | (~v90(constB113, 1)) | v90(constB113, 2) | v121(constB113))),
% 54.34/34.53 inference(rewrite,[status(thm)],[])).
% 54.34/34.53 tff(20113,plain,
% 54.34/34.53 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB113, 0) | (~v90(constB113, 1)) | v90(constB113, 2) | v121(constB113))),
% 54.34/34.53 inference(quant_inst,[status(thm)],[])).
% 54.34/34.53 tff(20114,plain,
% 54.34/34.53 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB113, 0) | (~v90(constB113, 1)) | v90(constB113, 2) | v121(constB113)),
% 54.34/34.53 inference(modus_ponens,[status(thm)],[20113, 20112])).
% 54.34/34.53 tff(20115,plain,
% 54.34/34.53 (v121(constB113)),
% 54.34/34.53 inference(unit_resolution,[status(thm)],[20114, 1731, 20111, 20077, 20046])).
% 54.34/34.53 tff(20116,plain,
% 54.34/34.53 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB113)) | v117(constB113))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB113)) | v117(constB113))),
% 54.34/34.53 inference(rewrite,[status(thm)],[])).
% 54.34/34.53 tff(20117,plain,
% 54.34/34.53 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB113)) | v117(constB113))),
% 54.34/34.53 inference(quant_inst,[status(thm)],[])).
% 54.34/34.53 tff(20118,plain,
% 54.34/34.53 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB113)) | v117(constB113)),
% 54.34/34.53 inference(modus_ponens,[status(thm)],[20117, 20116])).
% 54.34/34.53 tff(20119,plain,
% 54.34/34.53 (v117(constB113)),
% 54.34/34.53 inference(unit_resolution,[status(thm)],[20118, 1742, 20115])).
% 54.34/34.53 tff(20120,plain,
% 54.34/34.53 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB113) | (~v117(constB113)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB113) | (~v117(constB113)))),
% 54.34/34.53 inference(rewrite,[status(thm)],[])).
% 54.34/34.53 tff(20121,plain,
% 54.34/34.53 (((~v117(constB113)) | v116(constB113)) <=> (v116(constB113) | (~v117(constB113)))),
% 54.34/34.53 inference(rewrite,[status(thm)],[])).
% 54.34/34.53 tff(20122,plain,
% 54.34/34.53 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB113)) | v116(constB113))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB113) | (~v117(constB113))))),
% 54.34/34.53 inference(monotonicity,[status(thm)],[20121])).
% 54.34/34.53 tff(20123,plain,
% 54.34/34.53 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB113)) | v116(constB113))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB113) | (~v117(constB113)))),
% 54.34/34.53 inference(transitivity,[status(thm)],[20122, 20120])).
% 54.34/34.53 tff(20124,plain,
% 54.34/34.53 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB113)) | v116(constB113))),
% 54.34/34.53 inference(quant_inst,[status(thm)],[])).
% 54.34/34.53 tff(20125,plain,
% 54.34/34.53 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB113) | (~v117(constB113))),
% 54.34/34.53 inference(modus_ponens,[status(thm)],[20124, 20123])).
% 54.34/34.53 tff(20126,plain,
% 54.34/34.53 (v116(constB113)),
% 54.34/34.53 inference(unit_resolution,[status(thm)],[20125, 1007, 20119])).
% 54.34/34.53 tff(20127,plain,
% 54.34/34.53 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB113) | (~v116(constB113)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB113) | (~v116(constB113)))),
% 54.34/34.53 inference(rewrite,[status(thm)],[])).
% 54.34/34.53 tff(20128,plain,
% 54.34/34.53 (((~v116(constB113)) | v115(constB113)) <=> (v115(constB113) | (~v116(constB113)))),
% 54.34/34.53 inference(rewrite,[status(thm)],[])).
% 54.34/34.53 tff(20129,plain,
% 54.34/34.53 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB113)) | v115(constB113))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB113) | (~v116(constB113))))),
% 54.34/34.53 inference(monotonicity,[status(thm)],[20128])).
% 54.34/34.53 tff(20130,plain,
% 54.34/34.53 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB113)) | v115(constB113))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB113) | (~v116(constB113)))),
% 54.34/34.53 inference(transitivity,[status(thm)],[20129, 20127])).
% 54.34/34.53 tff(20131,plain,
% 54.34/34.53 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB113)) | v115(constB113))),
% 54.34/34.53 inference(quant_inst,[status(thm)],[])).
% 54.34/34.53 tff(20132,plain,
% 54.34/34.53 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB113) | (~v116(constB113))),
% 54.34/34.53 inference(modus_ponens,[status(thm)],[20131, 20130])).
% 54.34/34.53 tff(20133,plain,
% 54.34/34.53 (v115(constB113)),
% 54.34/34.53 inference(unit_resolution,[status(thm)],[20132, 1021, 20126])).
% 54.34/34.53 tff(20134,plain,
% 54.34/34.53 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB113) | (~v115(constB113)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB113) | (~v115(constB113)))),
% 54.34/34.53 inference(rewrite,[status(thm)],[])).
% 54.34/34.53 tff(20135,plain,
% 54.34/34.53 (((~v115(constB113)) | v114(constB113)) <=> (v114(constB113) | (~v115(constB113)))),
% 54.34/34.53 inference(rewrite,[status(thm)],[])).
% 54.34/34.53 tff(20136,plain,
% 54.34/34.53 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB113)) | v114(constB113))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB113) | (~v115(constB113))))),
% 54.34/34.53 inference(monotonicity,[status(thm)],[20135])).
% 54.34/34.53 tff(20137,plain,
% 54.34/34.53 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB113)) | v114(constB113))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB113) | (~v115(constB113)))),
% 54.34/34.53 inference(transitivity,[status(thm)],[20136, 20134])).
% 54.34/34.53 tff(20138,plain,
% 54.34/34.53 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB113)) | v114(constB113))),
% 54.34/34.53 inference(quant_inst,[status(thm)],[])).
% 54.34/34.53 tff(20139,plain,
% 54.34/34.53 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB113) | (~v115(constB113))),
% 54.34/34.53 inference(modus_ponens,[status(thm)],[20138, 20137])).
% 54.34/34.53 tff(20140,plain,
% 54.34/34.53 (v114(constB113)),
% 54.34/34.53 inference(unit_resolution,[status(thm)],[20139, 1035, 20133])).
% 54.34/34.53 tff(20141,plain,
% 54.34/34.53 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB113) | (~v114(constB113)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB113) | (~v114(constB113)))),
% 54.34/34.53 inference(rewrite,[status(thm)],[])).
% 54.34/34.53 tff(20142,plain,
% 54.34/34.53 (((~v114(constB113)) | v113(constB113)) <=> (v113(constB113) | (~v114(constB113)))),
% 54.34/34.53 inference(rewrite,[status(thm)],[])).
% 54.34/34.53 tff(20143,plain,
% 54.34/34.53 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB113)) | v113(constB113))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB113) | (~v114(constB113))))),
% 54.34/34.53 inference(monotonicity,[status(thm)],[20142])).
% 54.34/34.53 tff(20144,plain,
% 54.34/34.53 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB113)) | v113(constB113))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB113) | (~v114(constB113)))),
% 54.34/34.53 inference(transitivity,[status(thm)],[20143, 20141])).
% 54.34/34.53 tff(20145,plain,
% 54.34/34.53 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB113)) | v113(constB113))),
% 54.34/34.53 inference(quant_inst,[status(thm)],[])).
% 54.34/34.53 tff(20146,plain,
% 54.34/34.53 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB113) | (~v114(constB113))),
% 54.34/34.53 inference(modus_ponens,[status(thm)],[20145, 20144])).
% 54.34/34.53 tff(20147,plain,
% 54.34/34.53 (v113(constB113)),
% 54.34/34.53 inference(unit_resolution,[status(thm)],[20146, 1049, 20140])).
% 54.34/34.53 tff(20148,assumption,(v26(constB113)), introduced(assumption)).
% 54.34/34.53 tff(20149,plain,
% 54.34/34.53 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB113))),
% 54.34/34.53 inference(quant_inst,[status(thm)],[])).
% 54.34/34.53 tff(20150,plain,
% 54.34/34.53 ($false),
% 54.34/34.53 inference(unit_resolution,[status(thm)],[20149, 828, 20148])).
% 54.34/34.53 tff(20151,plain,(~v26(constB113)), inference(lemma,lemma(discharge,[]))).
% 54.34/34.53 tff(20152,plain,
% 54.34/34.53 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB113) | v112(constB113) | (~v113(constB113)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB113) | v112(constB113) | (~v113(constB113)))),
% 54.34/34.53 inference(rewrite,[status(thm)],[])).
% 54.34/34.53 tff(20153,plain,
% 54.34/34.53 ((v26(constB113) | (~v113(constB113)) | v112(constB113)) <=> (v26(constB113) | v112(constB113) | (~v113(constB113)))),
% 54.34/34.53 inference(rewrite,[status(thm)],[])).
% 54.34/34.53 tff(20154,plain,
% 54.34/34.53 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB113) | (~v113(constB113)) | v112(constB113))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB113) | v112(constB113) | (~v113(constB113))))),
% 54.34/34.53 inference(monotonicity,[status(thm)],[20153])).
% 54.34/34.53 tff(20155,plain,
% 54.34/34.53 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB113) | (~v113(constB113)) | v112(constB113))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB113) | v112(constB113) | (~v113(constB113)))),
% 54.34/34.53 inference(transitivity,[status(thm)],[20154, 20152])).
% 54.34/34.53 tff(20156,plain,
% 54.34/34.53 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB113) | (~v113(constB113)) | v112(constB113))),
% 54.34/34.53 inference(quant_inst,[status(thm)],[])).
% 54.34/34.53 tff(20157,plain,
% 54.34/34.53 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB113) | v112(constB113) | (~v113(constB113))),
% 54.34/34.53 inference(modus_ponens,[status(thm)],[20156, 20155])).
% 54.34/34.53 tff(20158,plain,
% 54.34/34.53 (v112(constB113) | (~v113(constB113))),
% 54.34/34.53 inference(unit_resolution,[status(thm)],[20157, 1063, 20151])).
% 54.34/34.53 tff(20159,plain,
% 54.34/34.53 (v112(constB113)),
% 54.34/34.53 inference(unit_resolution,[status(thm)],[20158, 20147])).
% 54.34/34.53 tff(20160,plain,
% 54.34/34.53 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB113) | (~v112(constB113)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB113) | (~v112(constB113)))),
% 54.34/34.53 inference(rewrite,[status(thm)],[])).
% 54.34/34.53 tff(20161,plain,
% 54.34/34.53 (((~v112(constB113)) | v108(constB113)) <=> (v108(constB113) | (~v112(constB113)))),
% 54.34/34.53 inference(rewrite,[status(thm)],[])).
% 54.34/34.53 tff(20162,plain,
% 54.34/34.53 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB113)) | v108(constB113))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB113) | (~v112(constB113))))),
% 54.34/34.53 inference(monotonicity,[status(thm)],[20161])).
% 54.34/34.53 tff(20163,plain,
% 54.34/34.53 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB113)) | v108(constB113))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB113) | (~v112(constB113)))),
% 54.34/34.53 inference(transitivity,[status(thm)],[20162, 20160])).
% 54.34/34.53 tff(20164,plain,
% 54.34/34.53 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB113)) | v108(constB113))),
% 54.34/34.53 inference(quant_inst,[status(thm)],[])).
% 54.34/34.53 tff(20165,plain,
% 54.34/34.53 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB113) | (~v112(constB113))),
% 54.34/34.53 inference(modus_ponens,[status(thm)],[20164, 20163])).
% 54.34/34.53 tff(20166,plain,
% 54.34/34.53 (v108(constB113)),
% 54.34/34.53 inference(unit_resolution,[status(thm)],[20165, 1075, 20159])).
% 54.34/34.53 tff(20167,plain,
% 54.34/34.53 (nextState(constB113, constB114) <=> nextState(constB113, constB114)),
% 54.34/34.53 inference(rewrite,[status(thm)],[])).
% 54.34/34.53 tff(20168,axiom,(nextState(constB113, constB114)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_113_1')).
% 54.34/34.53 tff(20169,plain,
% 54.34/34.53 (nextState(constB113, constB114)),
% 54.34/34.53 inference(modus_ponens,[status(thm)],[20168, 20167])).
% 54.34/34.53 tff(20170,plain,
% 54.34/34.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113)))),
% 54.34/34.53 inference(rewrite,[status(thm)],[])).
% 54.34/34.53 tff(20171,plain,
% 54.34/34.53 (((~nextState(constB113, constB114)) | (~v108(constB113)) | v110(constB114)) <=> ((~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113)))),
% 54.34/34.53 inference(rewrite,[status(thm)],[])).
% 54.34/34.53 tff(20172,plain,
% 54.34/34.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB113, constB114)) | (~v108(constB113)) | v110(constB114))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113))))),
% 54.34/34.53 inference(monotonicity,[status(thm)],[20171])).
% 54.34/34.53 tff(20173,plain,
% 54.34/34.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB113, constB114)) | (~v108(constB113)) | v110(constB114))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113)))),
% 54.34/34.53 inference(transitivity,[status(thm)],[20172, 20170])).
% 54.34/34.53 tff(20174,plain,
% 54.34/34.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB113, constB114)) | (~v108(constB113)) | v110(constB114))),
% 54.34/34.53 inference(quant_inst,[status(thm)],[])).
% 54.34/34.53 tff(20175,plain,
% 54.34/34.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB113, constB114)) | v110(constB114) | (~v108(constB113))),
% 54.34/34.53 inference(modus_ponens,[status(thm)],[20174, 20173])).
% 54.34/34.53 tff(20176,plain,
% 54.34/34.53 (v110(constB114) | (~v108(constB113))),
% 54.34/34.53 inference(unit_resolution,[status(thm)],[20175, 1095, 20169])).
% 54.34/34.53 tff(20177,plain,
% 54.34/34.53 (v110(constB114)),
% 54.34/34.53 inference(unit_resolution,[status(thm)],[20176, 20166])).
% 54.34/34.53 tff(20178,plain,
% 54.34/34.53 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB113) | (~nextState(constB113, constB114)) | (~v104(constB114)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB113) | (~nextState(constB113, constB114)) | (~v104(constB114)))),
% 54.34/34.53 inference(rewrite,[status(thm)],[])).
% 54.34/34.53 tff(20179,plain,
% 54.34/34.53 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB113) | (~nextState(constB113, constB114)) | (~v104(constB114)))),
% 54.34/34.53 inference(quant_inst,[status(thm)],[])).
% 54.34/34.53 tff(20180,plain,
% 54.34/34.53 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB113) | (~nextState(constB113, constB114)) | (~v104(constB114))),
% 54.34/34.53 inference(modus_ponens,[status(thm)],[20179, 20178])).
% 54.34/34.53 tff(20181,plain,
% 54.34/34.53 (~v104(constB114)),
% 54.34/34.53 inference(unit_resolution,[status(thm)],[20180, 1113, 20169, 20022])).
% 54.34/34.53 tff(20182,plain,
% 54.34/34.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB113, constB114)) | v102(constB114) | v104(constB114))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB113, constB114)) | v102(constB114) | v104(constB114))),
% 54.34/34.54 inference(rewrite,[status(thm)],[])).
% 54.34/34.54 tff(20183,plain,
% 54.34/34.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB113, constB114)) | v102(constB114) | v104(constB114))),
% 54.34/34.54 inference(quant_inst,[status(thm)],[])).
% 54.34/34.54 tff(20184,plain,
% 54.34/34.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB113, constB114)) | v102(constB114) | v104(constB114)),
% 54.34/34.54 inference(modus_ponens,[status(thm)],[20183, 20182])).
% 54.34/34.54 tff(20185,plain,
% 54.34/34.54 (v102(constB114) | v104(constB114)),
% 54.34/34.54 inference(unit_resolution,[status(thm)],[20184, 1127, 20169])).
% 54.34/34.54 tff(20186,plain,
% 54.34/34.54 (v102(constB114)),
% 54.34/34.54 inference(unit_resolution,[status(thm)],[20185, 20181])).
% 54.34/34.54 tff(20187,plain,
% 54.34/34.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB113, constB114)) | v101(constB114) | (~v102(constB114)) | (~v1(constB114)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB113, constB114)) | v101(constB114) | (~v102(constB114)) | (~v1(constB114)))),
% 54.34/34.54 inference(rewrite,[status(thm)],[])).
% 54.34/34.54 tff(20188,plain,
% 54.34/34.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB113, constB114)) | v101(constB114) | (~v102(constB114)) | (~v1(constB114)))),
% 54.34/34.54 inference(quant_inst,[status(thm)],[])).
% 54.34/34.54 tff(20189,plain,
% 54.34/34.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB113, constB114)) | v101(constB114) | (~v102(constB114)) | (~v1(constB114))),
% 54.34/34.54 inference(modus_ponens,[status(thm)],[20188, 20187])).
% 54.34/34.54 tff(20190,plain,
% 54.34/34.54 (v101(constB114) | (~v102(constB114))),
% 54.34/34.54 inference(unit_resolution,[status(thm)],[20189, 1145, 20169, 398])).
% 54.34/34.54 tff(20191,plain,
% 54.34/34.54 (v101(constB114)),
% 54.34/34.54 inference(unit_resolution,[status(thm)],[20190, 20186])).
% 54.34/34.54 tff(20192,plain,
% 54.34/34.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114)))),
% 54.34/34.54 inference(rewrite,[status(thm)],[])).
% 54.34/34.54 tff(20193,plain,
% 54.34/34.54 (((~nextState(constB113, constB114)) | (~v101(constB114)) | (~v110(constB114)) | v100(constB114)) <=> ((~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114)))),
% 54.34/34.54 inference(rewrite,[status(thm)],[])).
% 54.34/34.54 tff(20194,plain,
% 54.34/34.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB113, constB114)) | (~v101(constB114)) | (~v110(constB114)) | v100(constB114))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114))))),
% 54.34/34.54 inference(monotonicity,[status(thm)],[20193])).
% 54.34/34.54 tff(20195,plain,
% 54.34/34.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB113, constB114)) | (~v101(constB114)) | (~v110(constB114)) | v100(constB114))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114)))),
% 54.34/34.54 inference(transitivity,[status(thm)],[20194, 20192])).
% 54.34/34.54 tff(20196,plain,
% 54.34/34.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB113, constB114)) | (~v101(constB114)) | (~v110(constB114)) | v100(constB114))),
% 54.34/34.54 inference(quant_inst,[status(thm)],[])).
% 54.34/34.54 tff(20197,plain,
% 54.34/34.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB113, constB114)) | v100(constB114) | (~v101(constB114)) | (~v110(constB114))),
% 54.34/34.54 inference(modus_ponens,[status(thm)],[20196, 20195])).
% 54.34/34.54 tff(20198,plain,
% 54.34/34.54 (v100(constB114) | (~v101(constB114)) | (~v110(constB114))),
% 54.34/34.54 inference(unit_resolution,[status(thm)],[20197, 1160, 20169])).
% 54.34/34.54 tff(20199,plain,
% 54.34/34.54 (v100(constB114) | (~v110(constB114))),
% 54.34/34.54 inference(unit_resolution,[status(thm)],[20198, 20191])).
% 54.34/34.54 tff(20200,plain,
% 54.34/34.54 (v100(constB114)),
% 54.34/34.54 inference(unit_resolution,[status(thm)],[20199, 20177])).
% 54.34/34.54 tff(20201,plain,
% 54.34/34.54 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB113)) | (~v130(constB113, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB113)) | (~v130(constB113, 2)))),
% 54.34/34.54 inference(rewrite,[status(thm)],[])).
% 54.34/34.54 tff(20202,plain,
% 54.34/34.54 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB113)) | (~v130(constB113, 2)))),
% 54.34/34.54 inference(quant_inst,[status(thm)],[])).
% 54.34/34.54 tff(20203,plain,
% 54.34/34.54 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB113)) | (~v130(constB113, 2))),
% 54.34/34.54 inference(modus_ponens,[status(thm)],[20202, 20201])).
% 54.34/34.54 tff(20204,plain,
% 54.34/34.54 (~v130(constB113, 2)),
% 54.34/34.54 inference(unit_resolution,[status(thm)],[20203, 1821, 20115])).
% 54.34/34.54 tff(20205,plain,
% 54.34/34.54 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB113, 2)) | v26(constB113) | v130(constB113, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB113, 2)) | v26(constB113) | v130(constB113, 2))),
% 54.34/34.54 inference(rewrite,[status(thm)],[])).
% 54.34/34.54 tff(20206,plain,
% 54.34/34.54 ((v26(constB113) | v130(constB113, 2) | (~v127(constB113, 2))) <=> ((~v127(constB113, 2)) | v26(constB113) | v130(constB113, 2))),
% 54.34/34.54 inference(rewrite,[status(thm)],[])).
% 54.34/34.54 tff(20207,plain,
% 54.34/34.54 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB113) | v130(constB113, 2) | (~v127(constB113, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB113, 2)) | v26(constB113) | v130(constB113, 2)))),
% 54.34/34.54 inference(monotonicity,[status(thm)],[20206])).
% 54.34/34.54 tff(20208,plain,
% 54.34/34.54 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB113) | v130(constB113, 2) | (~v127(constB113, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB113, 2)) | v26(constB113) | v130(constB113, 2))),
% 54.34/34.54 inference(transitivity,[status(thm)],[20207, 20205])).
% 54.34/34.54 tff(20209,plain,
% 54.34/34.54 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB113) | v130(constB113, 2) | (~v127(constB113, 2)))),
% 54.34/34.54 inference(quant_inst,[status(thm)],[])).
% 54.34/34.54 tff(20210,plain,
% 54.34/34.54 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB113, 2)) | v26(constB113) | v130(constB113, 2)),
% 54.34/34.54 inference(modus_ponens,[status(thm)],[20209, 20208])).
% 54.34/34.54 tff(20211,plain,
% 54.34/34.54 ((~v127(constB113, 2)) | v130(constB113, 2)),
% 54.34/34.54 inference(unit_resolution,[status(thm)],[20210, 1190, 20151])).
% 54.34/34.54 tff(20212,plain,
% 54.34/34.54 (~v127(constB113, 2)),
% 54.34/34.54 inference(unit_resolution,[status(thm)],[20211, 20204])).
% 54.34/34.54 tff(20213,plain,
% 54.34/34.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB113, constB114)) | v127(constB113, 2) | (~v129(constB114, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB113, constB114)) | v127(constB113, 2) | (~v129(constB114, 2)))),
% 54.34/34.54 inference(rewrite,[status(thm)],[])).
% 54.34/34.54 tff(20214,plain,
% 54.34/34.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB113, constB114)) | v127(constB113, 2) | (~v129(constB114, 2)))),
% 54.34/34.54 inference(quant_inst,[status(thm)],[])).
% 54.34/34.54 tff(20215,plain,
% 54.34/34.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB113, constB114)) | v127(constB113, 2) | (~v129(constB114, 2))),
% 54.34/34.54 inference(modus_ponens,[status(thm)],[20214, 20213])).
% 54.34/34.54 tff(20216,plain,
% 54.34/34.54 (v127(constB113, 2) | (~v129(constB114, 2))),
% 54.34/34.54 inference(unit_resolution,[status(thm)],[20215, 1208, 20169])).
% 54.34/34.54 tff(20217,plain,
% 54.34/34.54 (~v129(constB114, 2)),
% 54.34/34.54 inference(unit_resolution,[status(thm)],[20216, 20212])).
% 54.34/34.54 tff(20218,plain,
% 54.34/34.54 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB114, 2)) | v129(constB114, 2) | (~v100(constB114)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB114, 2)) | v129(constB114, 2) | (~v100(constB114)))),
% 54.34/34.54 inference(rewrite,[status(thm)],[])).
% 54.34/34.54 tff(20219,plain,
% 54.34/34.54 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB114, 2)) | v129(constB114, 2) | (~v100(constB114)))),
% 54.34/34.54 inference(quant_inst,[status(thm)],[])).
% 54.34/34.54 tff(20220,plain,
% 54.34/34.54 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB114, 2)) | v129(constB114, 2) | (~v100(constB114))),
% 54.34/34.54 inference(modus_ponens,[status(thm)],[20219, 20218])).
% 54.34/34.54 tff(20221,plain,
% 54.34/34.54 ((~v90(constB114, 2)) | (~v100(constB114))),
% 54.34/34.54 inference(unit_resolution,[status(thm)],[20220, 1223, 20217])).
% 54.34/34.54 tff(20222,plain,
% 54.34/34.54 (~v90(constB114, 2)),
% 54.34/34.54 inference(unit_resolution,[status(thm)],[20221, 20200])).
% 54.34/34.54 tff(20223,plain,
% 54.34/34.54 ((~v1(constB115)) <=> (~v1(constB115))),
% 54.34/34.54 inference(rewrite,[status(thm)],[])).
% 54.34/34.54 tff(20224,axiom,(~v1(constB115)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_115_1_1')).
% 54.34/34.54 tff(20225,plain,
% 54.34/34.54 (~v1(constB115)),
% 54.34/34.54 inference(modus_ponens,[status(thm)],[20224, 20223])).
% 54.34/34.54 tff(20226,plain,
% 54.34/34.54 (nextState(constB114, constB115) <=> nextState(constB114, constB115)),
% 54.34/34.54 inference(rewrite,[status(thm)],[])).
% 54.34/34.54 tff(20227,axiom,(nextState(constB114, constB115)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_114_1')).
% 54.34/34.54 tff(20228,plain,
% 54.34/34.54 (nextState(constB114, constB115)),
% 54.34/34.54 inference(modus_ponens,[status(thm)],[20227, 20226])).
% 54.34/34.54 tff(20229,plain,
% 54.34/34.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115)))),
% 54.34/34.54 inference(rewrite,[status(thm)],[])).
% 54.34/34.54 tff(20230,plain,
% 54.34/34.54 (((~nextState(constB114, constB115)) | (~v101(constB115)) | v1(constB115)) <=> (v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115)))),
% 54.34/34.54 inference(rewrite,[status(thm)],[])).
% 54.34/34.54 tff(20231,plain,
% 54.34/34.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB114, constB115)) | (~v101(constB115)) | v1(constB115))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115))))),
% 54.34/34.54 inference(monotonicity,[status(thm)],[20230])).
% 54.34/34.54 tff(20232,plain,
% 54.34/34.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB114, constB115)) | (~v101(constB115)) | v1(constB115))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115)))),
% 54.34/34.54 inference(transitivity,[status(thm)],[20231, 20229])).
% 54.34/34.54 tff(20233,plain,
% 54.34/34.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB114, constB115)) | (~v101(constB115)) | v1(constB115))),
% 54.34/34.54 inference(quant_inst,[status(thm)],[])).
% 54.34/34.54 tff(20234,plain,
% 54.34/34.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB115) | (~nextState(constB114, constB115)) | (~v101(constB115))),
% 54.34/34.54 inference(modus_ponens,[status(thm)],[20233, 20232])).
% 54.34/34.54 tff(20235,plain,
% 54.34/34.54 (~v101(constB115)),
% 54.34/34.54 inference(unit_resolution,[status(thm)],[20234, 873, 20228, 20225])).
% 54.34/34.54 tff(20236,plain,
% 54.34/34.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB114, constB115)) | v101(constB115) | (~v100(constB115)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB114, constB115)) | v101(constB115) | (~v100(constB115)))),
% 54.34/34.54 inference(rewrite,[status(thm)],[])).
% 54.34/34.54 tff(20237,plain,
% 54.34/34.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB114, constB115)) | v101(constB115) | (~v100(constB115)))),
% 54.34/34.54 inference(quant_inst,[status(thm)],[])).
% 54.34/34.54 tff(20238,plain,
% 54.34/34.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB114, constB115)) | v101(constB115) | (~v100(constB115))),
% 54.34/34.54 inference(modus_ponens,[status(thm)],[20237, 20236])).
% 54.34/34.54 tff(20239,plain,
% 54.34/34.54 (v101(constB115) | (~v100(constB115))),
% 54.34/34.54 inference(unit_resolution,[status(thm)],[20238, 890, 20228])).
% 54.34/34.54 tff(20240,plain,
% 54.34/34.54 (~v100(constB115)),
% 54.34/34.54 inference(unit_resolution,[status(thm)],[20239, 20235])).
% 54.34/34.54 tff(20241,plain,
% 54.34/34.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB114, 2) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB114, 2) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, 2)))),
% 54.34/34.54 inference(rewrite,[status(thm)],[])).
% 54.34/34.54 tff(20242,plain,
% 54.34/34.54 (((~nextState(constB114, constB115)) | v90(constB114, 2) | v100(constB115) | (~v90(constB115, 2))) <=> (v90(constB114, 2) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, 2)))),
% 54.34/34.54 inference(rewrite,[status(thm)],[])).
% 54.34/34.54 tff(20243,plain,
% 54.34/34.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB114, constB115)) | v90(constB114, 2) | v100(constB115) | (~v90(constB115, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB114, 2) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, 2))))),
% 54.34/34.54 inference(monotonicity,[status(thm)],[20242])).
% 54.34/34.54 tff(20244,plain,
% 54.34/34.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB114, constB115)) | v90(constB114, 2) | v100(constB115) | (~v90(constB115, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB114, 2) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, 2)))),
% 54.34/34.54 inference(transitivity,[status(thm)],[20243, 20241])).
% 54.34/34.54 tff(20245,plain,
% 54.34/34.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB114, constB115)) | v90(constB114, 2) | v100(constB115) | (~v90(constB115, 2)))),
% 54.34/34.54 inference(quant_inst,[status(thm)],[])).
% 54.34/34.54 tff(20246,plain,
% 54.34/34.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB114, 2) | (~nextState(constB114, constB115)) | v100(constB115) | (~v90(constB115, 2))),
% 54.34/34.54 inference(modus_ponens,[status(thm)],[20245, 20244])).
% 54.34/34.54 tff(20247,plain,
% 54.34/34.54 (v90(constB114, 2) | v100(constB115) | (~v90(constB115, 2))),
% 54.34/34.54 inference(unit_resolution,[status(thm)],[20246, 905, 20228])).
% 54.34/34.54 tff(20248,plain,
% 54.34/34.54 (v90(constB114, 2) | (~v90(constB115, 2))),
% 54.34/34.54 inference(unit_resolution,[status(thm)],[20247, 20240])).
% 54.34/34.54 tff(20249,plain,
% 54.34/34.54 (~v90(constB115, 2)),
% 54.34/34.54 inference(unit_resolution,[status(thm)],[20248, 20222])).
% 54.34/34.54 tff(20250,plain,
% 54.34/34.54 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB113)) | v130(constB113, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB113)) | v130(constB113, 1))),
% 54.34/34.54 inference(rewrite,[status(thm)],[])).
% 54.34/34.54 tff(20251,plain,
% 54.34/34.54 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB113)) | v130(constB113, 1))),
% 54.34/34.54 inference(quant_inst,[status(thm)],[])).
% 54.34/34.54 tff(20252,plain,
% 54.34/34.54 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB113)) | v130(constB113, 1)),
% 54.34/34.54 inference(modus_ponens,[status(thm)],[20251, 20250])).
% 54.34/34.54 tff(20253,plain,
% 54.34/34.54 (v130(constB113, 1)),
% 54.34/34.54 inference(unit_resolution,[status(thm)],[20252, 1877, 20115])).
% 54.34/34.54 tff(20254,plain,
% 54.34/34.54 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB113) | (~v130(constB113, 1)) | v127(constB113, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB113) | (~v130(constB113, 1)) | v127(constB113, 1))),
% 54.34/34.54 inference(rewrite,[status(thm)],[])).
% 54.34/34.54 tff(20255,plain,
% 54.34/34.54 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB113) | (~v130(constB113, 1)) | v127(constB113, 1))),
% 54.34/34.54 inference(quant_inst,[status(thm)],[])).
% 54.34/34.54 tff(20256,plain,
% 54.34/34.54 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB113) | (~v130(constB113, 1)) | v127(constB113, 1)),
% 54.34/34.54 inference(modus_ponens,[status(thm)],[20255, 20254])).
% 54.34/34.54 tff(20257,plain,
% 54.34/34.54 ((~v130(constB113, 1)) | v127(constB113, 1)),
% 54.34/34.54 inference(unit_resolution,[status(thm)],[20256, 1593, 20151])).
% 54.34/34.54 tff(20258,plain,
% 54.34/34.54 (v127(constB113, 1)),
% 54.34/34.54 inference(unit_resolution,[status(thm)],[20257, 20253])).
% 54.34/34.54 tff(20259,plain,
% 54.34/34.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB113, constB114)) | (~v127(constB113, 1)) | v129(constB114, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB113, constB114)) | (~v127(constB113, 1)) | v129(constB114, 1))),
% 54.34/34.54 inference(rewrite,[status(thm)],[])).
% 54.34/34.54 tff(20260,plain,
% 54.34/34.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB113, constB114)) | (~v127(constB113, 1)) | v129(constB114, 1))),
% 54.34/34.54 inference(quant_inst,[status(thm)],[])).
% 54.34/34.54 tff(20261,plain,
% 54.34/34.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB113, constB114)) | (~v127(constB113, 1)) | v129(constB114, 1)),
% 54.34/34.54 inference(modus_ponens,[status(thm)],[20260, 20259])).
% 54.34/34.54 tff(20262,plain,
% 54.34/34.54 ((~v127(constB113, 1)) | v129(constB114, 1)),
% 54.34/34.54 inference(unit_resolution,[status(thm)],[20261, 1608, 20169])).
% 54.34/34.54 tff(20263,plain,
% 54.34/34.54 (v129(constB114, 1)),
% 54.34/34.54 inference(unit_resolution,[status(thm)],[20262, 20258])).
% 54.34/34.54 tff(20264,plain,
% 54.34/34.54 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB114, 1) | (~v129(constB114, 1)) | (~v100(constB114)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB114, 1) | (~v129(constB114, 1)) | (~v100(constB114)))),
% 54.34/34.54 inference(rewrite,[status(thm)],[])).
% 54.34/34.54 tff(20265,plain,
% 54.34/34.54 ((v90(constB114, 1) | (~v100(constB114)) | (~v129(constB114, 1))) <=> (v90(constB114, 1) | (~v129(constB114, 1)) | (~v100(constB114)))),
% 54.34/34.54 inference(rewrite,[status(thm)],[])).
% 54.34/34.54 tff(20266,plain,
% 54.34/34.54 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB114, 1) | (~v100(constB114)) | (~v129(constB114, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB114, 1) | (~v129(constB114, 1)) | (~v100(constB114))))),
% 54.34/34.54 inference(monotonicity,[status(thm)],[20265])).
% 54.34/34.54 tff(20267,plain,
% 54.34/34.54 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB114, 1) | (~v100(constB114)) | (~v129(constB114, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB114, 1) | (~v129(constB114, 1)) | (~v100(constB114)))),
% 54.34/34.54 inference(transitivity,[status(thm)],[20266, 20264])).
% 54.34/34.54 tff(20268,plain,
% 54.34/34.54 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB114, 1) | (~v100(constB114)) | (~v129(constB114, 1)))),
% 54.34/34.54 inference(quant_inst,[status(thm)],[])).
% 54.34/34.54 tff(20269,plain,
% 54.34/34.54 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB114, 1) | (~v129(constB114, 1)) | (~v100(constB114))),
% 54.34/34.54 inference(modus_ponens,[status(thm)],[20268, 20267])).
% 54.34/34.54 tff(20270,plain,
% 54.34/34.54 (v90(constB114, 1) | (~v100(constB114))),
% 54.34/34.54 inference(unit_resolution,[status(thm)],[20269, 1623, 20263])).
% 54.34/34.54 tff(20271,plain,
% 54.34/34.54 (v90(constB114, 1)),
% 54.34/34.54 inference(unit_resolution,[status(thm)],[20270, 20200])).
% 54.34/34.54 tff(20272,plain,
% 54.34/34.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB114, 1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB114, 1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, 1))),
% 54.34/34.54 inference(rewrite,[status(thm)],[])).
% 54.34/34.54 tff(20273,plain,
% 54.34/34.54 (((~nextState(constB114, constB115)) | (~v90(constB114, 1)) | v100(constB115) | v90(constB115, 1)) <=> ((~v90(constB114, 1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, 1))),
% 54.34/34.54 inference(rewrite,[status(thm)],[])).
% 54.34/34.54 tff(20274,plain,
% 54.34/34.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB114, constB115)) | (~v90(constB114, 1)) | v100(constB115) | v90(constB115, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB114, 1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, 1)))),
% 54.34/34.54 inference(monotonicity,[status(thm)],[20273])).
% 54.34/34.54 tff(20275,plain,
% 54.34/34.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB114, constB115)) | (~v90(constB114, 1)) | v100(constB115) | v90(constB115, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB114, 1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, 1))),
% 54.34/34.54 inference(transitivity,[status(thm)],[20274, 20272])).
% 54.34/34.54 tff(20276,plain,
% 54.34/34.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB114, constB115)) | (~v90(constB114, 1)) | v100(constB115) | v90(constB115, 1))),
% 54.34/34.54 inference(quant_inst,[status(thm)],[])).
% 54.34/34.54 tff(20277,plain,
% 54.34/34.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB114, 1)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, 1)),
% 54.34/34.54 inference(modus_ponens,[status(thm)],[20276, 20275])).
% 54.34/34.54 tff(20278,plain,
% 54.34/34.54 ((~v90(constB114, 1)) | v100(constB115) | v90(constB115, 1)),
% 54.34/34.54 inference(unit_resolution,[status(thm)],[20277, 1641, 20228])).
% 54.34/34.54 tff(20279,plain,
% 54.34/34.54 ((~v90(constB114, 1)) | v90(constB115, 1)),
% 54.34/34.54 inference(unit_resolution,[status(thm)],[20278, 20240])).
% 54.34/34.54 tff(20280,plain,
% 54.34/34.54 (v90(constB115, 1)),
% 54.34/34.54 inference(unit_resolution,[status(thm)],[20279, 20271])).
% 54.34/34.54 tff(20281,plain,
% 54.34/34.54 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB113)) | v130(constB113, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB113)) | v130(constB113, 0))),
% 54.34/34.54 inference(rewrite,[status(thm)],[])).
% 54.34/34.54 tff(20282,plain,
% 54.34/34.54 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB113)) | v130(constB113, 0))),
% 54.34/34.54 inference(quant_inst,[status(thm)],[])).
% 54.34/34.54 tff(20283,plain,
% 54.34/34.54 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB113)) | v130(constB113, 0)),
% 54.34/34.54 inference(modus_ponens,[status(thm)],[20282, 20281])).
% 54.34/34.54 tff(20284,plain,
% 54.34/34.54 (v130(constB113, 0)),
% 54.34/34.54 inference(unit_resolution,[status(thm)],[20283, 1915, 20115])).
% 54.34/34.54 tff(20285,plain,
% 54.34/34.54 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB113) | (~v130(constB113, 0)) | v127(constB113, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB113) | (~v130(constB113, 0)) | v127(constB113, 0))),
% 54.34/34.54 inference(rewrite,[status(thm)],[])).
% 54.34/34.54 tff(20286,plain,
% 54.34/34.54 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB113) | (~v130(constB113, 0)) | v127(constB113, 0))),
% 54.34/34.54 inference(quant_inst,[status(thm)],[])).
% 54.34/34.54 tff(20287,plain,
% 54.34/34.54 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB113) | (~v130(constB113, 0)) | v127(constB113, 0)),
% 54.34/34.54 inference(modus_ponens,[status(thm)],[20286, 20285])).
% 54.34/34.54 tff(20288,plain,
% 54.34/34.54 ((~v130(constB113, 0)) | v127(constB113, 0)),
% 54.34/34.54 inference(unit_resolution,[status(thm)],[20287, 1347, 20151])).
% 54.34/34.54 tff(20289,plain,
% 54.34/34.54 (v127(constB113, 0)),
% 54.34/34.54 inference(unit_resolution,[status(thm)],[20288, 20284])).
% 54.34/34.54 tff(20290,plain,
% 54.34/34.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB113, constB114)) | (~v127(constB113, 0)) | v129(constB114, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB113, constB114)) | (~v127(constB113, 0)) | v129(constB114, 0))),
% 54.34/34.54 inference(rewrite,[status(thm)],[])).
% 54.34/34.54 tff(20291,plain,
% 54.34/34.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB113, constB114)) | (~v127(constB113, 0)) | v129(constB114, 0))),
% 54.34/34.54 inference(quant_inst,[status(thm)],[])).
% 54.34/34.54 tff(20292,plain,
% 54.34/34.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB113, constB114)) | (~v127(constB113, 0)) | v129(constB114, 0)),
% 54.34/34.54 inference(modus_ponens,[status(thm)],[20291, 20290])).
% 54.34/34.54 tff(20293,plain,
% 54.34/34.54 ((~v127(constB113, 0)) | v129(constB114, 0)),
% 54.34/34.54 inference(unit_resolution,[status(thm)],[20292, 1362, 20169])).
% 54.34/34.54 tff(20294,plain,
% 54.34/34.54 (v129(constB114, 0)),
% 54.34/34.54 inference(unit_resolution,[status(thm)],[20293, 20289])).
% 54.34/34.54 tff(20295,plain,
% 54.34/34.54 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB114, 0) | (~v129(constB114, 0)) | (~v100(constB114)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB114, 0) | (~v129(constB114, 0)) | (~v100(constB114)))),
% 54.34/34.54 inference(rewrite,[status(thm)],[])).
% 54.34/34.54 tff(20296,plain,
% 54.34/34.54 ((v90(constB114, 0) | (~v100(constB114)) | (~v129(constB114, 0))) <=> (v90(constB114, 0) | (~v129(constB114, 0)) | (~v100(constB114)))),
% 54.34/34.54 inference(rewrite,[status(thm)],[])).
% 54.34/34.54 tff(20297,plain,
% 54.34/34.54 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB114, 0) | (~v100(constB114)) | (~v129(constB114, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB114, 0) | (~v129(constB114, 0)) | (~v100(constB114))))),
% 54.34/34.54 inference(monotonicity,[status(thm)],[20296])).
% 54.34/34.54 tff(20298,plain,
% 54.34/34.54 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB114, 0) | (~v100(constB114)) | (~v129(constB114, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB114, 0) | (~v129(constB114, 0)) | (~v100(constB114)))),
% 54.34/34.54 inference(transitivity,[status(thm)],[20297, 20295])).
% 54.34/34.54 tff(20299,plain,
% 54.34/34.54 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB114, 0) | (~v100(constB114)) | (~v129(constB114, 0)))),
% 54.34/34.54 inference(quant_inst,[status(thm)],[])).
% 54.34/34.54 tff(20300,plain,
% 54.34/34.54 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB114, 0) | (~v129(constB114, 0)) | (~v100(constB114))),
% 54.34/34.54 inference(modus_ponens,[status(thm)],[20299, 20298])).
% 54.34/34.54 tff(20301,plain,
% 54.34/34.54 (v90(constB114, 0) | (~v100(constB114))),
% 54.34/34.54 inference(unit_resolution,[status(thm)],[20300, 1377, 20294])).
% 54.34/34.54 tff(20302,plain,
% 54.34/34.54 (v90(constB114, 0)),
% 54.34/34.54 inference(unit_resolution,[status(thm)],[20301, 20200])).
% 54.34/34.54 tff(20303,plain,
% 54.34/34.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB114, 0)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB114, 0)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, 0))),
% 54.34/34.54 inference(rewrite,[status(thm)],[])).
% 54.34/34.54 tff(20304,plain,
% 54.34/34.54 (((~nextState(constB114, constB115)) | (~v90(constB114, 0)) | v100(constB115) | v90(constB115, 0)) <=> ((~v90(constB114, 0)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, 0))),
% 54.34/34.54 inference(rewrite,[status(thm)],[])).
% 54.34/34.54 tff(20305,plain,
% 54.34/34.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB114, constB115)) | (~v90(constB114, 0)) | v100(constB115) | v90(constB115, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB114, 0)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, 0)))),
% 54.34/34.54 inference(monotonicity,[status(thm)],[20304])).
% 54.34/34.54 tff(20306,plain,
% 54.34/34.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB114, constB115)) | (~v90(constB114, 0)) | v100(constB115) | v90(constB115, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB114, 0)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, 0))),
% 54.34/34.54 inference(transitivity,[status(thm)],[20305, 20303])).
% 54.34/34.54 tff(20307,plain,
% 54.34/34.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB114, constB115)) | (~v90(constB114, 0)) | v100(constB115) | v90(constB115, 0))),
% 54.34/34.54 inference(quant_inst,[status(thm)],[])).
% 54.34/34.54 tff(20308,plain,
% 54.34/34.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB114, 0)) | (~nextState(constB114, constB115)) | v100(constB115) | v90(constB115, 0)),
% 54.34/34.54 inference(modus_ponens,[status(thm)],[20307, 20306])).
% 54.34/34.54 tff(20309,plain,
% 54.34/34.54 ((~v90(constB114, 0)) | v100(constB115) | v90(constB115, 0)),
% 54.34/34.54 inference(unit_resolution,[status(thm)],[20308, 1395, 20228])).
% 54.34/34.54 tff(20310,plain,
% 54.34/34.54 ((~v90(constB114, 0)) | v90(constB115, 0)),
% 54.34/34.54 inference(unit_resolution,[status(thm)],[20309, 20240])).
% 54.34/34.54 tff(20311,plain,
% 54.34/34.54 (v90(constB115, 0)),
% 54.34/34.54 inference(unit_resolution,[status(thm)],[20310, 20302])).
% 54.34/34.54 tff(20312,plain,
% 54.34/34.54 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB115, 0)) | (~v90(constB115, 1)) | v90(constB115, 2) | v122(constB115))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB115, 0)) | (~v90(constB115, 1)) | v90(constB115, 2) | v122(constB115))),
% 54.34/34.54 inference(rewrite,[status(thm)],[])).
% 54.34/34.54 tff(20313,plain,
% 54.34/34.54 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB115, 0)) | (~v90(constB115, 1)) | v90(constB115, 2) | v122(constB115))),
% 54.34/34.54 inference(quant_inst,[status(thm)],[])).
% 54.34/34.54 tff(20314,plain,
% 54.34/34.54 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB115, 0)) | (~v90(constB115, 1)) | v90(constB115, 2) | v122(constB115)),
% 54.34/34.54 inference(modus_ponens,[status(thm)],[20313, 20312])).
% 54.34/34.54 tff(20315,plain,
% 54.34/34.54 (v122(constB115)),
% 54.34/34.54 inference(unit_resolution,[status(thm)],[20314, 1956, 20311, 20280, 20249])).
% 54.34/34.54 tff(20316,plain,
% 54.34/34.54 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB115)) | v116(constB115))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB115)) | v116(constB115))),
% 54.34/34.54 inference(rewrite,[status(thm)],[])).
% 54.34/34.54 tff(20317,plain,
% 54.34/34.54 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB115)) | v116(constB115))),
% 54.34/34.54 inference(quant_inst,[status(thm)],[])).
% 54.34/34.54 tff(20318,plain,
% 54.34/34.54 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB115)) | v116(constB115)),
% 54.34/34.54 inference(modus_ponens,[status(thm)],[20317, 20316])).
% 54.34/34.54 tff(20319,plain,
% 54.34/34.54 (v116(constB115)),
% 54.34/34.54 inference(unit_resolution,[status(thm)],[20318, 2120, 20315])).
% 54.34/34.54 tff(20320,plain,
% 54.34/34.54 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB115) | (~v116(constB115)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB115) | (~v116(constB115)))),
% 54.34/34.54 inference(rewrite,[status(thm)],[])).
% 54.34/34.54 tff(20321,plain,
% 54.34/34.54 (((~v116(constB115)) | v115(constB115)) <=> (v115(constB115) | (~v116(constB115)))),
% 54.34/34.54 inference(rewrite,[status(thm)],[])).
% 54.34/34.54 tff(20322,plain,
% 54.34/34.54 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB115)) | v115(constB115))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB115) | (~v116(constB115))))),
% 54.34/34.54 inference(monotonicity,[status(thm)],[20321])).
% 54.34/34.54 tff(20323,plain,
% 54.34/34.54 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB115)) | v115(constB115))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB115) | (~v116(constB115)))),
% 54.34/34.54 inference(transitivity,[status(thm)],[20322, 20320])).
% 54.34/34.54 tff(20324,plain,
% 54.34/34.54 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB115)) | v115(constB115))),
% 54.34/34.54 inference(quant_inst,[status(thm)],[])).
% 54.34/34.54 tff(20325,plain,
% 54.34/34.54 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB115) | (~v116(constB115))),
% 54.34/34.54 inference(modus_ponens,[status(thm)],[20324, 20323])).
% 54.34/34.54 tff(20326,plain,
% 54.34/34.54 (v115(constB115)),
% 54.34/34.54 inference(unit_resolution,[status(thm)],[20325, 1021, 20319])).
% 54.34/34.54 tff(20327,plain,
% 54.34/34.54 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB115) | (~v115(constB115)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB115) | (~v115(constB115)))),
% 54.34/34.54 inference(rewrite,[status(thm)],[])).
% 54.34/34.54 tff(20328,plain,
% 54.34/34.54 (((~v115(constB115)) | v114(constB115)) <=> (v114(constB115) | (~v115(constB115)))),
% 54.34/34.54 inference(rewrite,[status(thm)],[])).
% 54.34/34.54 tff(20329,plain,
% 54.34/34.54 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB115)) | v114(constB115))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB115) | (~v115(constB115))))),
% 54.34/34.54 inference(monotonicity,[status(thm)],[20328])).
% 54.34/34.54 tff(20330,plain,
% 54.34/34.54 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB115)) | v114(constB115))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB115) | (~v115(constB115)))),
% 54.34/34.54 inference(transitivity,[status(thm)],[20329, 20327])).
% 54.34/34.54 tff(20331,plain,
% 54.34/34.54 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB115)) | v114(constB115))),
% 54.34/34.54 inference(quant_inst,[status(thm)],[])).
% 54.34/34.54 tff(20332,plain,
% 54.34/34.54 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB115) | (~v115(constB115))),
% 54.34/34.54 inference(modus_ponens,[status(thm)],[20331, 20330])).
% 54.34/34.54 tff(20333,plain,
% 54.34/34.54 (v114(constB115)),
% 54.34/34.54 inference(unit_resolution,[status(thm)],[20332, 1035, 20326])).
% 54.34/34.54 tff(20334,plain,
% 54.34/34.54 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB115)) | v113(constB115))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB115)) | v113(constB115))),
% 54.34/34.54 inference(rewrite,[status(thm)],[])).
% 54.34/34.54 tff(20335,plain,
% 54.34/34.54 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB115)) | v113(constB115))),
% 54.34/34.54 inference(quant_inst,[status(thm)],[])).
% 54.34/34.54 tff(20336,plain,
% 54.34/34.54 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB115)) | v113(constB115)),
% 54.34/34.54 inference(modus_ponens,[status(thm)],[20335, 20334])).
% 54.34/34.54 tff(20337,plain,
% 54.34/34.54 (v113(constB115)),
% 54.34/34.54 inference(unit_resolution,[status(thm)],[20336, 1049, 20333])).
% 54.34/34.54 tff(20338,assumption,(v26(constB115)), introduced(assumption)).
% 54.34/34.54 tff(20339,plain,
% 54.34/34.54 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB115))),
% 54.34/34.54 inference(quant_inst,[status(thm)],[])).
% 54.34/34.54 tff(20340,plain,
% 54.34/34.54 ($false),
% 54.34/34.54 inference(unit_resolution,[status(thm)],[20339, 828, 20338])).
% 54.34/34.54 tff(20341,plain,(~v26(constB115)), inference(lemma,lemma(discharge,[]))).
% 54.34/34.54 tff(20342,plain,
% 54.34/34.54 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB115) | (~v113(constB115)) | v112(constB115))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB115) | (~v113(constB115)) | v112(constB115))),
% 54.34/34.54 inference(rewrite,[status(thm)],[])).
% 54.34/34.54 tff(20343,plain,
% 54.34/34.54 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB115) | (~v113(constB115)) | v112(constB115))),
% 54.34/34.54 inference(quant_inst,[status(thm)],[])).
% 54.34/34.54 tff(20344,plain,
% 54.34/34.54 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB115) | (~v113(constB115)) | v112(constB115)),
% 54.34/34.54 inference(modus_ponens,[status(thm)],[20343, 20342])).
% 54.34/34.54 tff(20345,plain,
% 54.34/34.54 ((~v113(constB115)) | v112(constB115)),
% 54.34/34.54 inference(unit_resolution,[status(thm)],[20344, 1063, 20341])).
% 54.34/34.54 tff(20346,plain,
% 54.34/34.54 (v112(constB115)),
% 54.34/34.54 inference(unit_resolution,[status(thm)],[20345, 20337])).
% 54.34/34.54 tff(20347,plain,
% 54.34/34.54 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB115) | (~v112(constB115)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB115) | (~v112(constB115)))),
% 54.34/34.54 inference(rewrite,[status(thm)],[])).
% 54.34/34.54 tff(20348,plain,
% 54.34/34.54 (((~v112(constB115)) | v108(constB115)) <=> (v108(constB115) | (~v112(constB115)))),
% 54.34/34.54 inference(rewrite,[status(thm)],[])).
% 54.34/34.54 tff(20349,plain,
% 54.34/34.54 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB115)) | v108(constB115))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB115) | (~v112(constB115))))),
% 54.34/34.54 inference(monotonicity,[status(thm)],[20348])).
% 54.34/34.54 tff(20350,plain,
% 54.34/34.54 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB115)) | v108(constB115))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB115) | (~v112(constB115)))),
% 54.34/34.54 inference(transitivity,[status(thm)],[20349, 20347])).
% 54.34/34.54 tff(20351,plain,
% 54.34/34.54 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB115)) | v108(constB115))),
% 54.34/34.54 inference(quant_inst,[status(thm)],[])).
% 54.34/34.54 tff(20352,plain,
% 54.34/34.54 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB115) | (~v112(constB115))),
% 54.34/34.55 inference(modus_ponens,[status(thm)],[20351, 20350])).
% 54.34/34.55 tff(20353,plain,
% 54.34/34.55 (v108(constB115)),
% 54.34/34.55 inference(unit_resolution,[status(thm)],[20352, 1075, 20346])).
% 54.34/34.55 tff(20354,plain,
% 54.34/34.55 (nextState(constB115, constB116) <=> nextState(constB115, constB116)),
% 54.34/34.55 inference(rewrite,[status(thm)],[])).
% 54.34/34.55 tff(20355,axiom,(nextState(constB115, constB116)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_115_1')).
% 54.34/34.55 tff(20356,plain,
% 54.34/34.55 (nextState(constB115, constB116)),
% 54.34/34.55 inference(modus_ponens,[status(thm)],[20355, 20354])).
% 54.34/34.55 tff(20357,plain,
% 54.34/34.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115)))),
% 54.34/34.55 inference(rewrite,[status(thm)],[])).
% 54.34/34.55 tff(20358,plain,
% 54.34/34.55 (((~nextState(constB115, constB116)) | (~v108(constB115)) | v110(constB116)) <=> ((~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115)))),
% 54.34/34.55 inference(rewrite,[status(thm)],[])).
% 54.34/34.55 tff(20359,plain,
% 54.34/34.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB115, constB116)) | (~v108(constB115)) | v110(constB116))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115))))),
% 54.34/34.55 inference(monotonicity,[status(thm)],[20358])).
% 54.34/34.55 tff(20360,plain,
% 54.34/34.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB115, constB116)) | (~v108(constB115)) | v110(constB116))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115)))),
% 54.34/34.55 inference(transitivity,[status(thm)],[20359, 20357])).
% 54.34/34.55 tff(20361,plain,
% 54.34/34.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB115, constB116)) | (~v108(constB115)) | v110(constB116))),
% 54.34/34.55 inference(quant_inst,[status(thm)],[])).
% 54.34/34.55 tff(20362,plain,
% 54.34/34.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB115, constB116)) | v110(constB116) | (~v108(constB115))),
% 54.34/34.55 inference(modus_ponens,[status(thm)],[20361, 20360])).
% 54.34/34.55 tff(20363,plain,
% 54.34/34.55 (v110(constB116) | (~v108(constB115))),
% 54.34/34.55 inference(unit_resolution,[status(thm)],[20362, 1095, 20356])).
% 54.34/34.55 tff(20364,plain,
% 54.34/34.55 (v110(constB116)),
% 54.34/34.55 inference(unit_resolution,[status(thm)],[20363, 20353])).
% 54.34/34.55 tff(20365,plain,
% 54.34/34.55 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB115) | (~nextState(constB115, constB116)) | (~v104(constB116)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB115) | (~nextState(constB115, constB116)) | (~v104(constB116)))),
% 54.34/34.55 inference(rewrite,[status(thm)],[])).
% 54.34/34.55 tff(20366,plain,
% 54.34/34.55 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB115) | (~nextState(constB115, constB116)) | (~v104(constB116)))),
% 54.34/34.55 inference(quant_inst,[status(thm)],[])).
% 54.34/34.55 tff(20367,plain,
% 54.34/34.55 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB115) | (~nextState(constB115, constB116)) | (~v104(constB116))),
% 54.34/34.55 inference(modus_ponens,[status(thm)],[20366, 20365])).
% 54.34/34.55 tff(20368,plain,
% 54.34/34.55 (~v104(constB116)),
% 54.34/34.55 inference(unit_resolution,[status(thm)],[20367, 1113, 20356, 20225])).
% 54.34/34.55 tff(20369,plain,
% 54.34/34.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB115, constB116)) | v102(constB116) | v104(constB116))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB115, constB116)) | v102(constB116) | v104(constB116))),
% 54.34/34.55 inference(rewrite,[status(thm)],[])).
% 54.34/34.55 tff(20370,plain,
% 54.34/34.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB115, constB116)) | v102(constB116) | v104(constB116))),
% 54.34/34.55 inference(quant_inst,[status(thm)],[])).
% 54.34/34.55 tff(20371,plain,
% 54.34/34.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB115, constB116)) | v102(constB116) | v104(constB116)),
% 54.34/34.55 inference(modus_ponens,[status(thm)],[20370, 20369])).
% 54.34/34.55 tff(20372,plain,
% 54.34/34.55 (v102(constB116) | v104(constB116)),
% 54.34/34.55 inference(unit_resolution,[status(thm)],[20371, 1127, 20356])).
% 54.34/34.55 tff(20373,plain,
% 54.34/34.55 (v102(constB116)),
% 54.34/34.55 inference(unit_resolution,[status(thm)],[20372, 20368])).
% 54.34/34.55 tff(20374,plain,
% 54.34/34.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB115, constB116)) | v101(constB116) | (~v102(constB116)) | (~v1(constB116)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB115, constB116)) | v101(constB116) | (~v102(constB116)) | (~v1(constB116)))),
% 54.34/34.55 inference(rewrite,[status(thm)],[])).
% 54.34/34.55 tff(20375,plain,
% 54.34/34.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB115, constB116)) | v101(constB116) | (~v102(constB116)) | (~v1(constB116)))),
% 54.34/34.55 inference(quant_inst,[status(thm)],[])).
% 54.34/34.55 tff(20376,plain,
% 54.34/34.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB115, constB116)) | v101(constB116) | (~v102(constB116)) | (~v1(constB116))),
% 54.34/34.55 inference(modus_ponens,[status(thm)],[20375, 20374])).
% 54.34/34.55 tff(20377,plain,
% 54.34/34.55 (v101(constB116) | (~v102(constB116))),
% 54.34/34.55 inference(unit_resolution,[status(thm)],[20376, 1145, 20356, 761])).
% 54.34/34.55 tff(20378,plain,
% 54.34/34.55 (v101(constB116)),
% 54.34/34.55 inference(unit_resolution,[status(thm)],[20377, 20373])).
% 54.34/34.55 tff(20379,plain,
% 54.34/34.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116)))),
% 54.34/34.55 inference(rewrite,[status(thm)],[])).
% 54.34/34.55 tff(20380,plain,
% 54.34/34.55 (((~nextState(constB115, constB116)) | (~v101(constB116)) | (~v110(constB116)) | v100(constB116)) <=> ((~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116)))),
% 54.34/34.55 inference(rewrite,[status(thm)],[])).
% 54.34/34.55 tff(20381,plain,
% 54.34/34.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB115, constB116)) | (~v101(constB116)) | (~v110(constB116)) | v100(constB116))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116))))),
% 54.34/34.55 inference(monotonicity,[status(thm)],[20380])).
% 54.34/34.55 tff(20382,plain,
% 54.34/34.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB115, constB116)) | (~v101(constB116)) | (~v110(constB116)) | v100(constB116))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116)))),
% 54.34/34.55 inference(transitivity,[status(thm)],[20381, 20379])).
% 54.34/34.55 tff(20383,plain,
% 54.34/34.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB115, constB116)) | (~v101(constB116)) | (~v110(constB116)) | v100(constB116))),
% 54.34/34.55 inference(quant_inst,[status(thm)],[])).
% 54.34/34.55 tff(20384,plain,
% 54.34/34.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB115, constB116)) | v100(constB116) | (~v101(constB116)) | (~v110(constB116))),
% 54.34/34.55 inference(modus_ponens,[status(thm)],[20383, 20382])).
% 54.34/34.55 tff(20385,plain,
% 54.34/34.55 (v100(constB116) | (~v101(constB116)) | (~v110(constB116))),
% 54.34/34.55 inference(unit_resolution,[status(thm)],[20384, 1160, 20356])).
% 54.34/34.55 tff(20386,plain,
% 54.34/34.55 (v100(constB116) | (~v110(constB116))),
% 54.34/34.55 inference(unit_resolution,[status(thm)],[20385, 20378])).
% 54.34/34.55 tff(20387,plain,
% 54.34/34.55 (v100(constB116)),
% 54.34/34.55 inference(unit_resolution,[status(thm)],[20386, 20364])).
% 54.34/34.55 tff(20388,plain,
% 54.34/34.55 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB115)) | v130(constB115, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB115)) | v130(constB115, 2))),
% 54.34/34.55 inference(rewrite,[status(thm)],[])).
% 54.34/34.55 tff(20389,plain,
% 54.34/34.55 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB115)) | v130(constB115, 2))),
% 54.34/34.55 inference(quant_inst,[status(thm)],[])).
% 54.34/34.55 tff(20390,plain,
% 54.34/34.55 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB115)) | v130(constB115, 2)),
% 54.34/34.55 inference(modus_ponens,[status(thm)],[20389, 20388])).
% 54.34/34.55 tff(20391,plain,
% 54.34/34.55 (v130(constB115, 2)),
% 54.34/34.55 inference(unit_resolution,[status(thm)],[20390, 1967, 20315])).
% 54.34/34.55 tff(20392,plain,
% 54.34/34.55 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB115) | (~v130(constB115, 2)) | v127(constB115, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB115) | (~v130(constB115, 2)) | v127(constB115, 2))),
% 54.34/34.55 inference(rewrite,[status(thm)],[])).
% 54.34/34.55 tff(20393,plain,
% 54.34/34.55 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB115) | (~v130(constB115, 2)) | v127(constB115, 2))),
% 54.34/34.55 inference(quant_inst,[status(thm)],[])).
% 54.34/34.55 tff(20394,plain,
% 54.34/34.55 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB115) | (~v130(constB115, 2)) | v127(constB115, 2)),
% 54.34/34.55 inference(modus_ponens,[status(thm)],[20393, 20392])).
% 54.34/34.55 tff(20395,plain,
% 54.34/34.55 ((~v130(constB115, 2)) | v127(constB115, 2)),
% 54.34/34.55 inference(unit_resolution,[status(thm)],[20394, 1981, 20341])).
% 54.34/34.55 tff(20396,plain,
% 54.34/34.55 (v127(constB115, 2)),
% 54.34/34.55 inference(unit_resolution,[status(thm)],[20395, 20391])).
% 54.34/34.55 tff(20397,plain,
% 54.34/34.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB115, constB116)) | (~v127(constB115, 2)) | v129(constB116, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB115, constB116)) | (~v127(constB115, 2)) | v129(constB116, 2))),
% 54.34/34.55 inference(rewrite,[status(thm)],[])).
% 54.34/34.55 tff(20398,plain,
% 54.34/34.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB115, constB116)) | (~v127(constB115, 2)) | v129(constB116, 2))),
% 54.34/34.55 inference(quant_inst,[status(thm)],[])).
% 54.34/34.55 tff(20399,plain,
% 54.34/34.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB115, constB116)) | (~v127(constB115, 2)) | v129(constB116, 2)),
% 54.34/34.55 inference(modus_ponens,[status(thm)],[20398, 20397])).
% 54.34/34.55 tff(20400,plain,
% 54.34/34.55 ((~v127(constB115, 2)) | v129(constB116, 2)),
% 54.34/34.55 inference(unit_resolution,[status(thm)],[20399, 1999, 20356])).
% 54.34/34.55 tff(20401,plain,
% 54.34/34.55 (v129(constB116, 2)),
% 54.34/34.55 inference(unit_resolution,[status(thm)],[20400, 20396])).
% 54.34/34.55 tff(20402,plain,
% 54.34/34.55 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB116, 2) | (~v129(constB116, 2)) | (~v100(constB116)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB116, 2) | (~v129(constB116, 2)) | (~v100(constB116)))),
% 54.34/34.55 inference(rewrite,[status(thm)],[])).
% 54.34/34.55 tff(20403,plain,
% 54.34/34.55 ((v90(constB116, 2) | (~v100(constB116)) | (~v129(constB116, 2))) <=> (v90(constB116, 2) | (~v129(constB116, 2)) | (~v100(constB116)))),
% 54.34/34.55 inference(rewrite,[status(thm)],[])).
% 54.34/34.55 tff(20404,plain,
% 54.34/34.55 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB116, 2) | (~v100(constB116)) | (~v129(constB116, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB116, 2) | (~v129(constB116, 2)) | (~v100(constB116))))),
% 54.34/34.55 inference(monotonicity,[status(thm)],[20403])).
% 54.34/34.55 tff(20405,plain,
% 54.34/34.55 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB116, 2) | (~v100(constB116)) | (~v129(constB116, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB116, 2) | (~v129(constB116, 2)) | (~v100(constB116)))),
% 54.34/34.55 inference(transitivity,[status(thm)],[20404, 20402])).
% 54.34/34.55 tff(20406,plain,
% 54.34/34.55 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB116, 2) | (~v100(constB116)) | (~v129(constB116, 2)))),
% 54.34/34.55 inference(quant_inst,[status(thm)],[])).
% 54.34/34.55 tff(20407,plain,
% 54.34/34.55 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB116, 2) | (~v129(constB116, 2)) | (~v100(constB116))),
% 54.34/34.55 inference(modus_ponens,[status(thm)],[20406, 20405])).
% 54.34/34.55 tff(20408,plain,
% 54.34/34.55 (v90(constB116, 2) | (~v100(constB116))),
% 54.34/34.55 inference(unit_resolution,[status(thm)],[20407, 2324, 20401])).
% 54.34/34.55 tff(20409,plain,
% 54.34/34.55 (v90(constB116, 2)),
% 54.34/34.55 inference(unit_resolution,[status(thm)],[20408, 20387])).
% 54.34/34.55 tff(20410,plain,
% 54.34/34.55 ((~v1(constB117)) <=> (~v1(constB117))),
% 54.34/34.55 inference(rewrite,[status(thm)],[])).
% 54.34/34.55 tff(20411,axiom,(~v1(constB117)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_117_1_1')).
% 54.34/34.55 tff(20412,plain,
% 54.34/34.55 (~v1(constB117)),
% 54.34/34.55 inference(modus_ponens,[status(thm)],[20411, 20410])).
% 54.34/34.55 tff(20413,plain,
% 54.34/34.55 (nextState(constB116, constB117) <=> nextState(constB116, constB117)),
% 54.34/34.55 inference(rewrite,[status(thm)],[])).
% 54.34/34.55 tff(20414,axiom,(nextState(constB116, constB117)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_116_1')).
% 54.34/34.55 tff(20415,plain,
% 54.34/34.55 (nextState(constB116, constB117)),
% 54.34/34.55 inference(modus_ponens,[status(thm)],[20414, 20413])).
% 54.34/34.55 tff(20416,plain,
% 54.34/34.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117)))),
% 54.34/34.55 inference(rewrite,[status(thm)],[])).
% 54.34/34.55 tff(20417,plain,
% 54.34/34.55 (((~nextState(constB116, constB117)) | (~v101(constB117)) | v1(constB117)) <=> (v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117)))),
% 54.34/34.55 inference(rewrite,[status(thm)],[])).
% 54.34/34.55 tff(20418,plain,
% 54.34/34.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB116, constB117)) | (~v101(constB117)) | v1(constB117))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117))))),
% 54.34/34.55 inference(monotonicity,[status(thm)],[20417])).
% 54.34/34.55 tff(20419,plain,
% 54.34/34.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB116, constB117)) | (~v101(constB117)) | v1(constB117))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117)))),
% 54.34/34.55 inference(transitivity,[status(thm)],[20418, 20416])).
% 54.34/34.55 tff(20420,plain,
% 54.34/34.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB116, constB117)) | (~v101(constB117)) | v1(constB117))),
% 54.34/34.55 inference(quant_inst,[status(thm)],[])).
% 54.34/34.55 tff(20421,plain,
% 54.34/34.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v101(constB117))),
% 54.34/34.55 inference(modus_ponens,[status(thm)],[20420, 20419])).
% 54.34/34.55 tff(20422,plain,
% 54.34/34.55 (~v101(constB117)),
% 54.34/34.55 inference(unit_resolution,[status(thm)],[20421, 873, 20415, 20412])).
% 54.34/34.55 tff(20423,plain,
% 54.34/34.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB116, constB117)) | v101(constB117) | (~v100(constB117)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB116, constB117)) | v101(constB117) | (~v100(constB117)))),
% 54.34/34.55 inference(rewrite,[status(thm)],[])).
% 54.34/34.55 tff(20424,plain,
% 54.34/34.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB116, constB117)) | v101(constB117) | (~v100(constB117)))),
% 54.34/34.55 inference(quant_inst,[status(thm)],[])).
% 54.34/34.55 tff(20425,plain,
% 54.34/34.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB116, constB117)) | v101(constB117) | (~v100(constB117))),
% 54.34/34.55 inference(modus_ponens,[status(thm)],[20424, 20423])).
% 54.34/34.55 tff(20426,plain,
% 54.34/34.55 (v101(constB117) | (~v100(constB117))),
% 54.34/34.55 inference(unit_resolution,[status(thm)],[20425, 890, 20415])).
% 54.34/34.55 tff(20427,plain,
% 54.34/34.55 (~v100(constB117)),
% 54.34/34.55 inference(unit_resolution,[status(thm)],[20426, 20422])).
% 54.34/34.55 tff(20428,plain,
% 54.34/34.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB116, 2)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB116, 2)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, 2))),
% 54.34/34.55 inference(rewrite,[status(thm)],[])).
% 54.34/34.55 tff(20429,plain,
% 54.34/34.55 (((~nextState(constB116, constB117)) | (~v90(constB116, 2)) | v100(constB117) | v90(constB117, 2)) <=> ((~v90(constB116, 2)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, 2))),
% 54.34/34.55 inference(rewrite,[status(thm)],[])).
% 54.34/34.55 tff(20430,plain,
% 54.34/34.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB116, constB117)) | (~v90(constB116, 2)) | v100(constB117) | v90(constB117, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB116, 2)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, 2)))),
% 54.34/34.55 inference(monotonicity,[status(thm)],[20429])).
% 54.34/34.55 tff(20431,plain,
% 54.34/34.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB116, constB117)) | (~v90(constB116, 2)) | v100(constB117) | v90(constB117, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB116, 2)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, 2))),
% 54.34/34.55 inference(transitivity,[status(thm)],[20430, 20428])).
% 54.34/34.55 tff(20432,plain,
% 54.34/34.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB116, constB117)) | (~v90(constB116, 2)) | v100(constB117) | v90(constB117, 2))),
% 54.34/34.55 inference(quant_inst,[status(thm)],[])).
% 54.34/34.55 tff(20433,plain,
% 54.34/34.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB116, 2)) | (~nextState(constB116, constB117)) | v100(constB117) | v90(constB117, 2)),
% 54.34/34.55 inference(modus_ponens,[status(thm)],[20432, 20431])).
% 54.34/34.55 tff(20434,plain,
% 54.34/34.55 ((~v90(constB116, 2)) | v100(constB117) | v90(constB117, 2)),
% 54.34/34.55 inference(unit_resolution,[status(thm)],[20433, 2174, 20415])).
% 54.34/34.55 tff(20435,plain,
% 54.34/34.55 ((~v90(constB116, 2)) | v90(constB117, 2)),
% 54.34/34.55 inference(unit_resolution,[status(thm)],[20434, 20427])).
% 54.34/34.55 tff(20436,plain,
% 54.34/34.55 (v90(constB117, 2)),
% 54.34/34.55 inference(unit_resolution,[status(thm)],[20435, 20409])).
% 54.34/34.55 tff(20437,plain,
% 54.34/34.55 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB115)) | (~v130(constB115, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB115)) | (~v130(constB115, 1)))),
% 54.34/34.55 inference(rewrite,[status(thm)],[])).
% 54.34/34.55 tff(20438,plain,
% 54.34/34.55 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB115)) | (~v130(constB115, 1)))),
% 54.34/34.55 inference(quant_inst,[status(thm)],[])).
% 54.34/34.55 tff(20439,plain,
% 54.34/34.55 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB115)) | (~v130(constB115, 1))),
% 54.34/34.55 inference(modus_ponens,[status(thm)],[20438, 20437])).
% 54.34/34.55 tff(20440,plain,
% 54.34/34.55 (~v130(constB115, 1)),
% 54.34/34.55 inference(unit_resolution,[status(thm)],[20439, 2366, 20315])).
% 54.34/34.55 tff(20441,plain,
% 54.34/34.55 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB115, 1)) | v26(constB115) | v130(constB115, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB115, 1)) | v26(constB115) | v130(constB115, 1))),
% 54.34/34.55 inference(rewrite,[status(thm)],[])).
% 54.34/34.55 tff(20442,plain,
% 54.34/34.55 ((v26(constB115) | v130(constB115, 1) | (~v127(constB115, 1))) <=> ((~v127(constB115, 1)) | v26(constB115) | v130(constB115, 1))),
% 54.34/34.55 inference(rewrite,[status(thm)],[])).
% 54.34/34.55 tff(20443,plain,
% 54.34/34.55 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB115) | v130(constB115, 1) | (~v127(constB115, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB115, 1)) | v26(constB115) | v130(constB115, 1)))),
% 54.34/34.55 inference(monotonicity,[status(thm)],[20442])).
% 54.34/34.55 tff(20444,plain,
% 54.34/34.55 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB115) | v130(constB115, 1) | (~v127(constB115, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB115, 1)) | v26(constB115) | v130(constB115, 1))),
% 54.34/34.55 inference(transitivity,[status(thm)],[20443, 20441])).
% 54.34/34.55 tff(20445,plain,
% 54.34/34.55 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB115) | v130(constB115, 1) | (~v127(constB115, 1)))),
% 54.34/34.55 inference(quant_inst,[status(thm)],[])).
% 54.34/34.55 tff(20446,plain,
% 54.34/34.55 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB115, 1)) | v26(constB115) | v130(constB115, 1)),
% 54.34/34.55 inference(modus_ponens,[status(thm)],[20445, 20444])).
% 54.34/34.55 tff(20447,plain,
% 54.34/34.55 ((~v127(constB115, 1)) | v130(constB115, 1)),
% 54.34/34.55 inference(unit_resolution,[status(thm)],[20446, 1276, 20341])).
% 54.34/34.55 tff(20448,plain,
% 54.34/34.55 (~v127(constB115, 1)),
% 54.34/34.55 inference(unit_resolution,[status(thm)],[20447, 20440])).
% 54.34/34.55 tff(20449,plain,
% 54.34/34.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB115, constB116)) | v127(constB115, 1) | (~v129(constB116, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB115, constB116)) | v127(constB115, 1) | (~v129(constB116, 1)))),
% 54.34/34.55 inference(rewrite,[status(thm)],[])).
% 54.34/34.55 tff(20450,plain,
% 54.34/34.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB115, constB116)) | v127(constB115, 1) | (~v129(constB116, 1)))),
% 54.34/34.55 inference(quant_inst,[status(thm)],[])).
% 54.34/34.55 tff(20451,plain,
% 54.34/34.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB115, constB116)) | v127(constB115, 1) | (~v129(constB116, 1))),
% 54.34/34.55 inference(modus_ponens,[status(thm)],[20450, 20449])).
% 54.34/34.55 tff(20452,plain,
% 54.34/34.55 (v127(constB115, 1) | (~v129(constB116, 1))),
% 54.34/34.55 inference(unit_resolution,[status(thm)],[20451, 1294, 20356])).
% 54.34/34.55 tff(20453,plain,
% 54.34/34.55 (~v129(constB116, 1)),
% 54.34/34.55 inference(unit_resolution,[status(thm)],[20452, 20448])).
% 54.34/34.55 tff(20454,plain,
% 54.34/34.55 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB116, 1)) | v129(constB116, 1) | (~v100(constB116)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB116, 1)) | v129(constB116, 1) | (~v100(constB116)))),
% 54.34/34.55 inference(rewrite,[status(thm)],[])).
% 54.34/34.55 tff(20455,plain,
% 54.34/34.55 (((~v90(constB116, 1)) | (~v100(constB116)) | v129(constB116, 1)) <=> ((~v90(constB116, 1)) | v129(constB116, 1) | (~v100(constB116)))),
% 54.34/34.55 inference(rewrite,[status(thm)],[])).
% 54.34/34.55 tff(20456,plain,
% 54.34/34.55 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB116, 1)) | (~v100(constB116)) | v129(constB116, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB116, 1)) | v129(constB116, 1) | (~v100(constB116))))),
% 54.34/34.55 inference(monotonicity,[status(thm)],[20455])).
% 54.34/34.55 tff(20457,plain,
% 54.34/34.55 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB116, 1)) | (~v100(constB116)) | v129(constB116, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB116, 1)) | v129(constB116, 1) | (~v100(constB116)))),
% 54.34/34.55 inference(transitivity,[status(thm)],[20456, 20454])).
% 54.34/34.55 tff(20458,plain,
% 54.34/34.55 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB116, 1)) | (~v100(constB116)) | v129(constB116, 1))),
% 54.34/34.55 inference(quant_inst,[status(thm)],[])).
% 54.34/34.55 tff(20459,plain,
% 54.34/34.55 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB116, 1)) | v129(constB116, 1) | (~v100(constB116))),
% 54.34/34.55 inference(modus_ponens,[status(thm)],[20458, 20457])).
% 54.34/34.55 tff(20460,plain,
% 54.34/34.55 ((~v90(constB116, 1)) | (~v100(constB116))),
% 54.34/34.55 inference(unit_resolution,[status(thm)],[20459, 1309, 20453])).
% 54.34/34.55 tff(20461,plain,
% 54.34/34.55 (~v90(constB116, 1)),
% 54.34/34.55 inference(unit_resolution,[status(thm)],[20460, 20387])).
% 54.34/34.55 tff(20462,plain,
% 54.34/34.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB116, 1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB116, 1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, 1)))),
% 54.34/34.55 inference(rewrite,[status(thm)],[])).
% 54.34/34.55 tff(20463,plain,
% 54.34/34.55 (((~nextState(constB116, constB117)) | v90(constB116, 1) | v100(constB117) | (~v90(constB117, 1))) <=> (v90(constB116, 1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, 1)))),
% 54.34/34.55 inference(rewrite,[status(thm)],[])).
% 54.34/34.55 tff(20464,plain,
% 54.34/34.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB116, constB117)) | v90(constB116, 1) | v100(constB117) | (~v90(constB117, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB116, 1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, 1))))),
% 54.34/34.55 inference(monotonicity,[status(thm)],[20463])).
% 54.34/34.55 tff(20465,plain,
% 54.34/34.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB116, constB117)) | v90(constB116, 1) | v100(constB117) | (~v90(constB117, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB116, 1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, 1)))),
% 54.34/34.55 inference(transitivity,[status(thm)],[20464, 20462])).
% 54.34/34.55 tff(20466,plain,
% 54.34/34.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB116, constB117)) | v90(constB116, 1) | v100(constB117) | (~v90(constB117, 1)))),
% 54.34/34.55 inference(quant_inst,[status(thm)],[])).
% 54.34/34.55 tff(20467,plain,
% 54.34/34.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB116, 1) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, 1))),
% 54.34/34.55 inference(modus_ponens,[status(thm)],[20466, 20465])).
% 54.34/34.55 tff(20468,plain,
% 54.34/34.55 (v90(constB116, 1) | v100(constB117) | (~v90(constB117, 1))),
% 54.34/34.55 inference(unit_resolution,[status(thm)],[20467, 926, 20415])).
% 54.34/34.55 tff(20469,plain,
% 54.34/34.55 (v90(constB116, 1) | (~v90(constB117, 1))),
% 54.34/34.55 inference(unit_resolution,[status(thm)],[20468, 20427])).
% 54.34/34.55 tff(20470,plain,
% 54.34/34.55 (~v90(constB117, 1)),
% 54.34/34.55 inference(unit_resolution,[status(thm)],[20469, 20461])).
% 54.34/34.55 tff(20471,plain,
% 54.34/34.55 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB115)) | (~v130(constB115, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB115)) | (~v130(constB115, 0)))),
% 54.34/34.55 inference(rewrite,[status(thm)],[])).
% 54.34/34.55 tff(20472,plain,
% 54.34/34.55 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB115)) | (~v130(constB115, 0)))),
% 54.34/34.55 inference(quant_inst,[status(thm)],[])).
% 54.34/34.55 tff(20473,plain,
% 54.34/34.55 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB115)) | (~v130(constB115, 0))),
% 54.34/34.55 inference(modus_ponens,[status(thm)],[20472, 20471])).
% 54.34/34.55 tff(20474,plain,
% 54.34/34.55 (~v130(constB115, 0)),
% 54.34/34.55 inference(unit_resolution,[status(thm)],[20473, 2407, 20315])).
% 54.34/34.55 tff(20475,plain,
% 54.34/34.55 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB115, 0)) | v26(constB115) | v130(constB115, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB115, 0)) | v26(constB115) | v130(constB115, 0))),
% 54.34/34.55 inference(rewrite,[status(thm)],[])).
% 54.34/34.55 tff(20476,plain,
% 54.34/34.55 ((v26(constB115) | v130(constB115, 0) | (~v127(constB115, 0))) <=> ((~v127(constB115, 0)) | v26(constB115) | v130(constB115, 0))),
% 54.34/34.55 inference(rewrite,[status(thm)],[])).
% 54.34/34.55 tff(20477,plain,
% 54.34/34.55 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB115) | v130(constB115, 0) | (~v127(constB115, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB115, 0)) | v26(constB115) | v130(constB115, 0)))),
% 54.34/34.55 inference(monotonicity,[status(thm)],[20476])).
% 54.34/34.55 tff(20478,plain,
% 54.34/34.55 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB115) | v130(constB115, 0) | (~v127(constB115, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB115, 0)) | v26(constB115) | v130(constB115, 0))),
% 54.34/34.55 inference(transitivity,[status(thm)],[20477, 20475])).
% 54.34/34.55 tff(20479,plain,
% 54.34/34.55 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB115) | v130(constB115, 0) | (~v127(constB115, 0)))),
% 54.34/34.55 inference(quant_inst,[status(thm)],[])).
% 54.34/34.55 tff(20480,plain,
% 54.34/34.55 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB115, 0)) | v26(constB115) | v130(constB115, 0)),
% 54.34/34.55 inference(modus_ponens,[status(thm)],[20479, 20478])).
% 54.34/34.55 tff(20481,plain,
% 54.34/34.55 ((~v127(constB115, 0)) | v130(constB115, 0)),
% 54.34/34.55 inference(unit_resolution,[status(thm)],[20480, 1671, 20341])).
% 54.34/34.55 tff(20482,plain,
% 54.34/34.55 (~v127(constB115, 0)),
% 54.34/34.55 inference(unit_resolution,[status(thm)],[20481, 20474])).
% 54.34/34.55 tff(20483,plain,
% 54.34/34.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB115, constB116)) | v127(constB115, 0) | (~v129(constB116, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB115, constB116)) | v127(constB115, 0) | (~v129(constB116, 0)))),
% 54.34/34.55 inference(rewrite,[status(thm)],[])).
% 54.34/34.55 tff(20484,plain,
% 54.34/34.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB115, constB116)) | v127(constB115, 0) | (~v129(constB116, 0)))),
% 54.34/34.55 inference(quant_inst,[status(thm)],[])).
% 54.34/34.55 tff(20485,plain,
% 54.34/34.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB115, constB116)) | v127(constB115, 0) | (~v129(constB116, 0))),
% 54.34/34.55 inference(modus_ponens,[status(thm)],[20484, 20483])).
% 54.34/34.55 tff(20486,plain,
% 54.34/34.55 (v127(constB115, 0) | (~v129(constB116, 0))),
% 54.34/34.55 inference(unit_resolution,[status(thm)],[20485, 1689, 20356])).
% 54.34/34.55 tff(20487,plain,
% 54.34/34.55 (~v129(constB116, 0)),
% 54.34/34.55 inference(unit_resolution,[status(thm)],[20486, 20482])).
% 54.34/34.55 tff(20488,plain,
% 54.34/34.55 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB116, 0)) | v129(constB116, 0) | (~v100(constB116)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB116, 0)) | v129(constB116, 0) | (~v100(constB116)))),
% 54.34/34.55 inference(rewrite,[status(thm)],[])).
% 54.34/34.55 tff(20489,plain,
% 54.34/34.55 (((~v90(constB116, 0)) | (~v100(constB116)) | v129(constB116, 0)) <=> ((~v90(constB116, 0)) | v129(constB116, 0) | (~v100(constB116)))),
% 54.34/34.55 inference(rewrite,[status(thm)],[])).
% 54.34/34.55 tff(20490,plain,
% 54.34/34.55 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB116, 0)) | (~v100(constB116)) | v129(constB116, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB116, 0)) | v129(constB116, 0) | (~v100(constB116))))),
% 54.39/34.55 inference(monotonicity,[status(thm)],[20489])).
% 54.39/34.55 tff(20491,plain,
% 54.39/34.55 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB116, 0)) | (~v100(constB116)) | v129(constB116, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB116, 0)) | v129(constB116, 0) | (~v100(constB116)))),
% 54.39/34.55 inference(transitivity,[status(thm)],[20490, 20488])).
% 54.39/34.55 tff(20492,plain,
% 54.39/34.55 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB116, 0)) | (~v100(constB116)) | v129(constB116, 0))),
% 54.39/34.55 inference(quant_inst,[status(thm)],[])).
% 54.39/34.55 tff(20493,plain,
% 54.39/34.55 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB116, 0)) | v129(constB116, 0) | (~v100(constB116))),
% 54.39/34.55 inference(modus_ponens,[status(thm)],[20492, 20491])).
% 54.39/34.55 tff(20494,plain,
% 54.39/34.55 ((~v90(constB116, 0)) | (~v100(constB116))),
% 54.39/34.55 inference(unit_resolution,[status(thm)],[20493, 1704, 20487])).
% 54.39/34.55 tff(20495,plain,
% 54.39/34.55 (~v90(constB116, 0)),
% 54.39/34.55 inference(unit_resolution,[status(thm)],[20494, 20387])).
% 54.39/34.55 tff(20496,plain,
% 54.39/34.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB116, 0) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB116, 0) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, 0)))),
% 54.39/34.55 inference(rewrite,[status(thm)],[])).
% 54.39/34.55 tff(20497,plain,
% 54.39/34.55 (((~nextState(constB116, constB117)) | v90(constB116, 0) | v100(constB117) | (~v90(constB117, 0))) <=> (v90(constB116, 0) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, 0)))),
% 54.39/34.55 inference(rewrite,[status(thm)],[])).
% 54.39/34.55 tff(20498,plain,
% 54.39/34.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB116, constB117)) | v90(constB116, 0) | v100(constB117) | (~v90(constB117, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB116, 0) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, 0))))),
% 54.39/34.55 inference(monotonicity,[status(thm)],[20497])).
% 54.39/34.55 tff(20499,plain,
% 54.39/34.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB116, constB117)) | v90(constB116, 0) | v100(constB117) | (~v90(constB117, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB116, 0) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, 0)))),
% 54.39/34.55 inference(transitivity,[status(thm)],[20498, 20496])).
% 54.39/34.55 tff(20500,plain,
% 54.39/34.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB116, constB117)) | v90(constB116, 0) | v100(constB117) | (~v90(constB117, 0)))),
% 54.39/34.55 inference(quant_inst,[status(thm)],[])).
% 54.39/34.55 tff(20501,plain,
% 54.39/34.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB116, 0) | (~nextState(constB116, constB117)) | v100(constB117) | (~v90(constB117, 0))),
% 54.39/34.55 inference(modus_ponens,[status(thm)],[20500, 20499])).
% 54.39/34.55 tff(20502,plain,
% 54.39/34.55 (v90(constB116, 0) | v100(constB117) | (~v90(constB117, 0))),
% 54.39/34.55 inference(unit_resolution,[status(thm)],[20501, 947, 20415])).
% 54.39/34.55 tff(20503,plain,
% 54.39/34.55 (v90(constB116, 0) | (~v90(constB117, 0))),
% 54.39/34.55 inference(unit_resolution,[status(thm)],[20502, 20427])).
% 54.39/34.55 tff(20504,plain,
% 54.39/34.55 (~v90(constB117, 0)),
% 54.39/34.55 inference(unit_resolution,[status(thm)],[20503, 20495])).
% 54.39/34.55 tff(20505,plain,
% 54.39/34.55 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB117, 0) | v90(constB117, 1) | (~v90(constB117, 2)) | v123(constB117))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB117, 0) | v90(constB117, 1) | (~v90(constB117, 2)) | v123(constB117))),
% 54.39/34.55 inference(rewrite,[status(thm)],[])).
% 54.39/34.55 tff(20506,plain,
% 54.39/34.55 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB117, 0) | v90(constB117, 1) | (~v90(constB117, 2)) | v123(constB117))),
% 54.39/34.55 inference(quant_inst,[status(thm)],[])).
% 54.39/34.55 tff(20507,plain,
% 54.39/34.55 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB117, 0) | v90(constB117, 1) | (~v90(constB117, 2)) | v123(constB117)),
% 54.39/34.55 inference(modus_ponens,[status(thm)],[20506, 20505])).
% 54.39/34.55 tff(20508,plain,
% 54.39/34.55 (v123(constB117)),
% 54.39/34.55 inference(unit_resolution,[status(thm)],[20507, 2308, 20504, 20470, 20436])).
% 54.39/34.55 tff(20509,plain,
% 54.39/34.55 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB117)) | v115(constB117))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB117)) | v115(constB117))),
% 54.39/34.55 inference(rewrite,[status(thm)],[])).
% 54.39/34.55 tff(20510,plain,
% 54.39/34.55 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB117)) | v115(constB117))),
% 54.39/34.55 inference(quant_inst,[status(thm)],[])).
% 54.39/34.55 tff(20511,plain,
% 54.39/34.55 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB117)) | v115(constB117)),
% 54.39/34.55 inference(modus_ponens,[status(thm)],[20510, 20509])).
% 54.39/34.55 tff(20512,plain,
% 54.39/34.55 (v115(constB117)),
% 54.39/34.55 inference(unit_resolution,[status(thm)],[20511, 2291, 20508])).
% 54.39/34.55 tff(20513,plain,
% 54.39/34.55 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB117) | (~v115(constB117)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB117) | (~v115(constB117)))),
% 54.39/34.56 inference(rewrite,[status(thm)],[])).
% 54.39/34.56 tff(20514,plain,
% 54.39/34.56 (((~v115(constB117)) | v114(constB117)) <=> (v114(constB117) | (~v115(constB117)))),
% 54.39/34.56 inference(rewrite,[status(thm)],[])).
% 54.39/34.56 tff(20515,plain,
% 54.39/34.56 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB117)) | v114(constB117))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB117) | (~v115(constB117))))),
% 54.39/34.56 inference(monotonicity,[status(thm)],[20514])).
% 54.39/34.56 tff(20516,plain,
% 54.39/34.56 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB117)) | v114(constB117))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB117) | (~v115(constB117)))),
% 54.39/34.56 inference(transitivity,[status(thm)],[20515, 20513])).
% 54.39/34.56 tff(20517,plain,
% 54.39/34.56 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB117)) | v114(constB117))),
% 54.39/34.56 inference(quant_inst,[status(thm)],[])).
% 54.39/34.56 tff(20518,plain,
% 54.39/34.56 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB117) | (~v115(constB117))),
% 54.39/34.56 inference(modus_ponens,[status(thm)],[20517, 20516])).
% 54.39/34.56 tff(20519,plain,
% 54.39/34.56 (v114(constB117)),
% 54.39/34.56 inference(unit_resolution,[status(thm)],[20518, 1035, 20512])).
% 54.39/34.56 tff(20520,plain,
% 54.39/34.56 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB117) | (~v114(constB117)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB117) | (~v114(constB117)))),
% 54.39/34.56 inference(rewrite,[status(thm)],[])).
% 54.39/34.56 tff(20521,plain,
% 54.39/34.56 (((~v114(constB117)) | v113(constB117)) <=> (v113(constB117) | (~v114(constB117)))),
% 54.39/34.56 inference(rewrite,[status(thm)],[])).
% 54.39/34.56 tff(20522,plain,
% 54.39/34.56 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB117)) | v113(constB117))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB117) | (~v114(constB117))))),
% 54.39/34.56 inference(monotonicity,[status(thm)],[20521])).
% 54.39/34.56 tff(20523,plain,
% 54.39/34.56 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB117)) | v113(constB117))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB117) | (~v114(constB117)))),
% 54.39/34.56 inference(transitivity,[status(thm)],[20522, 20520])).
% 54.39/34.56 tff(20524,plain,
% 54.39/34.56 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB117)) | v113(constB117))),
% 54.39/34.56 inference(quant_inst,[status(thm)],[])).
% 54.39/34.56 tff(20525,plain,
% 54.39/34.56 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB117) | (~v114(constB117))),
% 54.39/34.56 inference(modus_ponens,[status(thm)],[20524, 20523])).
% 54.39/34.56 tff(20526,plain,
% 54.39/34.56 (v113(constB117)),
% 54.39/34.56 inference(unit_resolution,[status(thm)],[20525, 1049, 20519])).
% 54.39/34.56 tff(20527,assumption,(v26(constB117)), introduced(assumption)).
% 54.39/34.56 tff(20528,plain,
% 54.39/34.56 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB117))),
% 54.39/34.56 inference(quant_inst,[status(thm)],[])).
% 54.39/34.56 tff(20529,plain,
% 54.39/34.56 ($false),
% 54.39/34.56 inference(unit_resolution,[status(thm)],[20528, 828, 20527])).
% 54.39/34.56 tff(20530,plain,(~v26(constB117)), inference(lemma,lemma(discharge,[]))).
% 54.39/34.56 tff(20531,plain,
% 54.39/34.56 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB117) | (~v113(constB117)) | v112(constB117))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB117) | (~v113(constB117)) | v112(constB117))),
% 54.39/34.56 inference(rewrite,[status(thm)],[])).
% 54.39/34.56 tff(20532,plain,
% 54.39/34.56 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB117) | (~v113(constB117)) | v112(constB117))),
% 54.39/34.56 inference(quant_inst,[status(thm)],[])).
% 54.39/34.56 tff(20533,plain,
% 54.39/34.56 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB117) | (~v113(constB117)) | v112(constB117)),
% 54.39/34.56 inference(modus_ponens,[status(thm)],[20532, 20531])).
% 54.39/34.56 tff(20534,plain,
% 54.39/34.56 ((~v113(constB117)) | v112(constB117)),
% 54.39/34.56 inference(unit_resolution,[status(thm)],[20533, 1063, 20530])).
% 54.39/34.56 tff(20535,plain,
% 54.39/34.56 (v112(constB117)),
% 54.39/34.56 inference(unit_resolution,[status(thm)],[20534, 20526])).
% 54.39/34.56 tff(20536,plain,
% 54.39/34.56 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB117) | (~v112(constB117)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB117) | (~v112(constB117)))),
% 54.39/34.56 inference(rewrite,[status(thm)],[])).
% 54.39/34.56 tff(20537,plain,
% 54.39/34.56 (((~v112(constB117)) | v108(constB117)) <=> (v108(constB117) | (~v112(constB117)))),
% 54.39/34.56 inference(rewrite,[status(thm)],[])).
% 54.39/34.56 tff(20538,plain,
% 54.39/34.56 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB117)) | v108(constB117))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB117) | (~v112(constB117))))),
% 54.39/34.56 inference(monotonicity,[status(thm)],[20537])).
% 54.39/34.56 tff(20539,plain,
% 54.39/34.56 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB117)) | v108(constB117))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB117) | (~v112(constB117)))),
% 54.39/34.56 inference(transitivity,[status(thm)],[20538, 20536])).
% 54.39/34.56 tff(20540,plain,
% 54.39/34.56 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB117)) | v108(constB117))),
% 54.39/34.56 inference(quant_inst,[status(thm)],[])).
% 54.39/34.56 tff(20541,plain,
% 54.39/34.56 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB117) | (~v112(constB117))),
% 54.39/34.56 inference(modus_ponens,[status(thm)],[20540, 20539])).
% 54.39/34.56 tff(20542,plain,
% 54.39/34.56 (v108(constB117)),
% 54.39/34.56 inference(unit_resolution,[status(thm)],[20541, 1075, 20535])).
% 54.39/34.56 tff(20543,plain,
% 54.39/34.56 (nextState(constB117, constB118) <=> nextState(constB117, constB118)),
% 54.39/34.56 inference(rewrite,[status(thm)],[])).
% 54.39/34.56 tff(20544,axiom,(nextState(constB117, constB118)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_117_1')).
% 54.39/34.56 tff(20545,plain,
% 54.39/34.56 (nextState(constB117, constB118)),
% 54.39/34.56 inference(modus_ponens,[status(thm)],[20544, 20543])).
% 54.39/34.56 tff(20546,plain,
% 54.39/34.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117)))),
% 54.39/34.56 inference(rewrite,[status(thm)],[])).
% 54.39/34.56 tff(20547,plain,
% 54.39/34.56 (((~nextState(constB117, constB118)) | (~v108(constB117)) | v110(constB118)) <=> ((~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117)))),
% 54.39/34.56 inference(rewrite,[status(thm)],[])).
% 54.39/34.56 tff(20548,plain,
% 54.39/34.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB117, constB118)) | (~v108(constB117)) | v110(constB118))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117))))),
% 54.39/34.56 inference(monotonicity,[status(thm)],[20547])).
% 54.39/34.56 tff(20549,plain,
% 54.39/34.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB117, constB118)) | (~v108(constB117)) | v110(constB118))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117)))),
% 54.39/34.56 inference(transitivity,[status(thm)],[20548, 20546])).
% 54.39/34.56 tff(20550,plain,
% 54.39/34.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB117, constB118)) | (~v108(constB117)) | v110(constB118))),
% 54.39/34.56 inference(quant_inst,[status(thm)],[])).
% 54.39/34.56 tff(20551,plain,
% 54.39/34.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB117, constB118)) | v110(constB118) | (~v108(constB117))),
% 54.39/34.56 inference(modus_ponens,[status(thm)],[20550, 20549])).
% 54.39/34.56 tff(20552,plain,
% 54.39/34.56 (v110(constB118) | (~v108(constB117))),
% 54.39/34.56 inference(unit_resolution,[status(thm)],[20551, 1095, 20545])).
% 54.39/34.56 tff(20553,plain,
% 54.39/34.56 (v110(constB118)),
% 54.39/34.56 inference(unit_resolution,[status(thm)],[20552, 20542])).
% 54.39/34.56 tff(20554,plain,
% 54.39/34.56 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB117) | (~nextState(constB117, constB118)) | (~v104(constB118)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB117) | (~nextState(constB117, constB118)) | (~v104(constB118)))),
% 54.39/34.56 inference(rewrite,[status(thm)],[])).
% 54.39/34.56 tff(20555,plain,
% 54.39/34.56 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB117) | (~nextState(constB117, constB118)) | (~v104(constB118)))),
% 54.39/34.56 inference(quant_inst,[status(thm)],[])).
% 54.39/34.56 tff(20556,plain,
% 54.39/34.56 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB117) | (~nextState(constB117, constB118)) | (~v104(constB118))),
% 54.39/34.56 inference(modus_ponens,[status(thm)],[20555, 20554])).
% 54.39/34.56 tff(20557,plain,
% 54.39/34.56 (~v104(constB118)),
% 54.39/34.56 inference(unit_resolution,[status(thm)],[20556, 1113, 20545, 20412])).
% 54.39/34.56 tff(20558,plain,
% 54.39/34.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB117, constB118)) | v102(constB118) | v104(constB118))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB117, constB118)) | v102(constB118) | v104(constB118))),
% 54.39/34.56 inference(rewrite,[status(thm)],[])).
% 54.39/34.56 tff(20559,plain,
% 54.39/34.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB117, constB118)) | v102(constB118) | v104(constB118))),
% 54.39/34.56 inference(quant_inst,[status(thm)],[])).
% 54.39/34.56 tff(20560,plain,
% 54.39/34.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB117, constB118)) | v102(constB118) | v104(constB118)),
% 54.39/34.56 inference(modus_ponens,[status(thm)],[20559, 20558])).
% 54.39/34.56 tff(20561,plain,
% 54.39/34.56 (v102(constB118) | v104(constB118)),
% 54.39/34.56 inference(unit_resolution,[status(thm)],[20560, 1127, 20545])).
% 54.39/34.56 tff(20562,plain,
% 54.39/34.56 (v102(constB118)),
% 54.39/34.56 inference(unit_resolution,[status(thm)],[20561, 20557])).
% 54.39/34.56 tff(20563,plain,
% 54.39/34.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB117, constB118)) | v101(constB118) | (~v102(constB118)) | (~v1(constB118)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB117, constB118)) | v101(constB118) | (~v102(constB118)) | (~v1(constB118)))),
% 54.39/34.56 inference(rewrite,[status(thm)],[])).
% 54.39/34.56 tff(20564,plain,
% 54.39/34.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB117, constB118)) | v101(constB118) | (~v102(constB118)) | (~v1(constB118)))),
% 54.39/34.56 inference(quant_inst,[status(thm)],[])).
% 54.39/34.56 tff(20565,plain,
% 54.39/34.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB117, constB118)) | v101(constB118) | (~v102(constB118)) | (~v1(constB118))),
% 54.39/34.56 inference(modus_ponens,[status(thm)],[20564, 20563])).
% 54.39/34.56 tff(20566,plain,
% 54.39/34.56 (v101(constB118) | (~v102(constB118))),
% 54.39/34.56 inference(unit_resolution,[status(thm)],[20565, 1145, 20545, 288])).
% 54.39/34.56 tff(20567,plain,
% 54.39/34.56 (v101(constB118)),
% 54.39/34.56 inference(unit_resolution,[status(thm)],[20566, 20562])).
% 54.39/34.56 tff(20568,plain,
% 54.39/34.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118)))),
% 54.39/34.56 inference(rewrite,[status(thm)],[])).
% 54.39/34.56 tff(20569,plain,
% 54.39/34.56 (((~nextState(constB117, constB118)) | (~v101(constB118)) | (~v110(constB118)) | v100(constB118)) <=> ((~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118)))),
% 54.39/34.56 inference(rewrite,[status(thm)],[])).
% 54.39/34.56 tff(20570,plain,
% 54.39/34.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB117, constB118)) | (~v101(constB118)) | (~v110(constB118)) | v100(constB118))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118))))),
% 54.39/34.56 inference(monotonicity,[status(thm)],[20569])).
% 54.39/34.56 tff(20571,plain,
% 54.39/34.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB117, constB118)) | (~v101(constB118)) | (~v110(constB118)) | v100(constB118))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118)))),
% 54.39/34.56 inference(transitivity,[status(thm)],[20570, 20568])).
% 54.39/34.56 tff(20572,plain,
% 54.39/34.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB117, constB118)) | (~v101(constB118)) | (~v110(constB118)) | v100(constB118))),
% 54.39/34.56 inference(quant_inst,[status(thm)],[])).
% 54.39/34.56 tff(20573,plain,
% 54.39/34.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB117, constB118)) | v100(constB118) | (~v101(constB118)) | (~v110(constB118))),
% 54.39/34.56 inference(modus_ponens,[status(thm)],[20572, 20571])).
% 54.39/34.56 tff(20574,plain,
% 54.39/34.56 (v100(constB118) | (~v101(constB118)) | (~v110(constB118))),
% 54.39/34.56 inference(unit_resolution,[status(thm)],[20573, 1160, 20545])).
% 54.39/34.56 tff(20575,plain,
% 54.39/34.56 (v100(constB118) | (~v110(constB118))),
% 54.39/34.56 inference(unit_resolution,[status(thm)],[20574, 20567])).
% 54.39/34.56 tff(20576,plain,
% 54.39/34.56 (v100(constB118)),
% 54.39/34.56 inference(unit_resolution,[status(thm)],[20575, 20553])).
% 54.39/34.56 tff(20577,plain,
% 54.39/34.56 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB117)) | v130(constB117, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB117)) | v130(constB117, 2))),
% 54.39/34.56 inference(rewrite,[status(thm)],[])).
% 54.39/34.56 tff(20578,plain,
% 54.39/34.56 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB117)) | v130(constB117, 2))),
% 54.39/34.56 inference(quant_inst,[status(thm)],[])).
% 54.39/34.56 tff(20579,plain,
% 54.39/34.56 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB117)) | v130(constB117, 2)),
% 54.39/34.56 inference(modus_ponens,[status(thm)],[20578, 20577])).
% 54.39/34.56 tff(20580,plain,
% 54.39/34.56 (v130(constB117, 2)),
% 54.39/34.56 inference(unit_resolution,[status(thm)],[20579, 2525, 20508])).
% 54.39/34.56 tff(20581,plain,
% 54.39/34.56 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB117) | (~v130(constB117, 2)) | v127(constB117, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB117) | (~v130(constB117, 2)) | v127(constB117, 2))),
% 54.39/34.56 inference(rewrite,[status(thm)],[])).
% 54.39/34.56 tff(20582,plain,
% 54.39/34.56 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB117) | (~v130(constB117, 2)) | v127(constB117, 2))),
% 54.39/34.56 inference(quant_inst,[status(thm)],[])).
% 54.39/34.56 tff(20583,plain,
% 54.39/34.56 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB117) | (~v130(constB117, 2)) | v127(constB117, 2)),
% 54.39/34.56 inference(modus_ponens,[status(thm)],[20582, 20581])).
% 54.39/34.56 tff(20584,plain,
% 54.39/34.56 ((~v130(constB117, 2)) | v127(constB117, 2)),
% 54.39/34.56 inference(unit_resolution,[status(thm)],[20583, 1981, 20530])).
% 54.39/34.56 tff(20585,plain,
% 54.39/34.56 (v127(constB117, 2)),
% 54.39/34.56 inference(unit_resolution,[status(thm)],[20584, 20580])).
% 54.39/34.56 tff(20586,plain,
% 54.39/34.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB117, constB118)) | (~v127(constB117, 2)) | v129(constB118, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB117, constB118)) | (~v127(constB117, 2)) | v129(constB118, 2))),
% 54.39/34.56 inference(rewrite,[status(thm)],[])).
% 54.39/34.56 tff(20587,plain,
% 54.39/34.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB117, constB118)) | (~v127(constB117, 2)) | v129(constB118, 2))),
% 54.39/34.56 inference(quant_inst,[status(thm)],[])).
% 54.39/34.56 tff(20588,plain,
% 54.39/34.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB117, constB118)) | (~v127(constB117, 2)) | v129(constB118, 2)),
% 54.39/34.56 inference(modus_ponens,[status(thm)],[20587, 20586])).
% 54.39/34.56 tff(20589,plain,
% 54.39/34.56 ((~v127(constB117, 2)) | v129(constB118, 2)),
% 54.39/34.56 inference(unit_resolution,[status(thm)],[20588, 1999, 20545])).
% 54.39/34.56 tff(20590,plain,
% 54.39/34.56 (v129(constB118, 2)),
% 54.39/34.56 inference(unit_resolution,[status(thm)],[20589, 20585])).
% 54.39/34.56 tff(20591,plain,
% 54.39/34.56 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB118, 2) | (~v129(constB118, 2)) | (~v100(constB118)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB118, 2) | (~v129(constB118, 2)) | (~v100(constB118)))),
% 54.39/34.56 inference(rewrite,[status(thm)],[])).
% 54.39/34.56 tff(20592,plain,
% 54.39/34.56 ((v90(constB118, 2) | (~v100(constB118)) | (~v129(constB118, 2))) <=> (v90(constB118, 2) | (~v129(constB118, 2)) | (~v100(constB118)))),
% 54.39/34.56 inference(rewrite,[status(thm)],[])).
% 54.39/34.56 tff(20593,plain,
% 54.39/34.56 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB118, 2) | (~v100(constB118)) | (~v129(constB118, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB118, 2) | (~v129(constB118, 2)) | (~v100(constB118))))),
% 54.39/34.56 inference(monotonicity,[status(thm)],[20592])).
% 54.39/34.56 tff(20594,plain,
% 54.39/34.56 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB118, 2) | (~v100(constB118)) | (~v129(constB118, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB118, 2) | (~v129(constB118, 2)) | (~v100(constB118)))),
% 54.39/34.56 inference(transitivity,[status(thm)],[20593, 20591])).
% 54.39/34.56 tff(20595,plain,
% 54.39/34.56 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB118, 2) | (~v100(constB118)) | (~v129(constB118, 2)))),
% 54.39/34.56 inference(quant_inst,[status(thm)],[])).
% 54.39/34.56 tff(20596,plain,
% 54.39/34.56 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB118, 2) | (~v129(constB118, 2)) | (~v100(constB118))),
% 54.39/34.56 inference(modus_ponens,[status(thm)],[20595, 20594])).
% 54.39/34.56 tff(20597,plain,
% 54.39/34.56 (v90(constB118, 2) | (~v100(constB118))),
% 54.39/34.56 inference(unit_resolution,[status(thm)],[20596, 2324, 20590])).
% 54.39/34.56 tff(20598,plain,
% 54.39/34.56 (v90(constB118, 2)),
% 54.39/34.56 inference(unit_resolution,[status(thm)],[20597, 20576])).
% 54.39/34.56 tff(20599,plain,
% 54.39/34.56 ((~v1(constB119)) <=> (~v1(constB119))),
% 54.39/34.56 inference(rewrite,[status(thm)],[])).
% 54.39/34.56 tff(20600,axiom,(~v1(constB119)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_119_1_1')).
% 54.39/34.56 tff(20601,plain,
% 54.39/34.56 (~v1(constB119)),
% 54.39/34.56 inference(modus_ponens,[status(thm)],[20600, 20599])).
% 54.39/34.56 tff(20602,plain,
% 54.39/34.56 (nextState(constB118, constB119) <=> nextState(constB118, constB119)),
% 54.39/34.56 inference(rewrite,[status(thm)],[])).
% 54.39/34.56 tff(20603,axiom,(nextState(constB118, constB119)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_118_1')).
% 54.39/34.56 tff(20604,plain,
% 54.39/34.56 (nextState(constB118, constB119)),
% 54.39/34.56 inference(modus_ponens,[status(thm)],[20603, 20602])).
% 54.39/34.56 tff(20605,plain,
% 54.39/34.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119)))),
% 54.39/34.56 inference(rewrite,[status(thm)],[])).
% 54.39/34.56 tff(20606,plain,
% 54.39/34.56 (((~nextState(constB118, constB119)) | (~v101(constB119)) | v1(constB119)) <=> (v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119)))),
% 54.39/34.56 inference(rewrite,[status(thm)],[])).
% 54.39/34.56 tff(20607,plain,
% 54.39/34.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB118, constB119)) | (~v101(constB119)) | v1(constB119))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119))))),
% 54.39/34.56 inference(monotonicity,[status(thm)],[20606])).
% 54.39/34.56 tff(20608,plain,
% 54.39/34.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB118, constB119)) | (~v101(constB119)) | v1(constB119))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119)))),
% 54.39/34.56 inference(transitivity,[status(thm)],[20607, 20605])).
% 54.39/34.56 tff(20609,plain,
% 54.39/34.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB118, constB119)) | (~v101(constB119)) | v1(constB119))),
% 54.39/34.56 inference(quant_inst,[status(thm)],[])).
% 54.39/34.56 tff(20610,plain,
% 54.39/34.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB119) | (~nextState(constB118, constB119)) | (~v101(constB119))),
% 54.39/34.56 inference(modus_ponens,[status(thm)],[20609, 20608])).
% 54.39/34.56 tff(20611,plain,
% 54.39/34.56 (~v101(constB119)),
% 54.39/34.56 inference(unit_resolution,[status(thm)],[20610, 873, 20604, 20601])).
% 54.39/34.56 tff(20612,plain,
% 54.39/34.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB118, constB119)) | v101(constB119) | (~v100(constB119)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB118, constB119)) | v101(constB119) | (~v100(constB119)))),
% 54.39/34.56 inference(rewrite,[status(thm)],[])).
% 54.39/34.56 tff(20613,plain,
% 54.39/34.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB118, constB119)) | v101(constB119) | (~v100(constB119)))),
% 54.39/34.56 inference(quant_inst,[status(thm)],[])).
% 54.39/34.56 tff(20614,plain,
% 54.39/34.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB118, constB119)) | v101(constB119) | (~v100(constB119))),
% 54.39/34.56 inference(modus_ponens,[status(thm)],[20613, 20612])).
% 54.39/34.56 tff(20615,plain,
% 54.39/34.56 (v101(constB119) | (~v100(constB119))),
% 54.39/34.56 inference(unit_resolution,[status(thm)],[20614, 890, 20604])).
% 54.39/34.56 tff(20616,plain,
% 54.39/34.56 (~v100(constB119)),
% 54.39/34.56 inference(unit_resolution,[status(thm)],[20615, 20611])).
% 54.39/34.56 tff(20617,plain,
% 54.39/34.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB118, 2)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB118, 2)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, 2))),
% 54.39/34.56 inference(rewrite,[status(thm)],[])).
% 54.39/34.56 tff(20618,plain,
% 54.39/34.56 (((~nextState(constB118, constB119)) | (~v90(constB118, 2)) | v100(constB119) | v90(constB119, 2)) <=> ((~v90(constB118, 2)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, 2))),
% 54.39/34.56 inference(rewrite,[status(thm)],[])).
% 54.39/34.56 tff(20619,plain,
% 54.39/34.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB118, constB119)) | (~v90(constB118, 2)) | v100(constB119) | v90(constB119, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB118, 2)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, 2)))),
% 54.39/34.56 inference(monotonicity,[status(thm)],[20618])).
% 54.39/34.56 tff(20620,plain,
% 54.39/34.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB118, constB119)) | (~v90(constB118, 2)) | v100(constB119) | v90(constB119, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB118, 2)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, 2))),
% 54.39/34.56 inference(transitivity,[status(thm)],[20619, 20617])).
% 54.39/34.56 tff(20621,plain,
% 54.39/34.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB118, constB119)) | (~v90(constB118, 2)) | v100(constB119) | v90(constB119, 2))),
% 54.39/34.56 inference(quant_inst,[status(thm)],[])).
% 54.39/34.56 tff(20622,plain,
% 54.39/34.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB118, 2)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, 2)),
% 54.39/34.56 inference(modus_ponens,[status(thm)],[20621, 20620])).
% 54.39/34.56 tff(20623,plain,
% 54.39/34.56 ((~v90(constB118, 2)) | v100(constB119) | v90(constB119, 2)),
% 54.39/34.56 inference(unit_resolution,[status(thm)],[20622, 2174, 20604])).
% 54.39/34.56 tff(20624,plain,
% 54.39/34.56 ((~v90(constB118, 2)) | v90(constB119, 2)),
% 54.39/34.56 inference(unit_resolution,[status(thm)],[20623, 20616])).
% 54.39/34.56 tff(20625,plain,
% 54.39/34.56 (v90(constB119, 2)),
% 54.39/34.56 inference(unit_resolution,[status(thm)],[20624, 20598])).
% 54.39/34.56 tff(20626,plain,
% 54.39/34.56 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB117)) | (~v130(constB117, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB117)) | (~v130(constB117, 1)))),
% 54.39/34.56 inference(rewrite,[status(thm)],[])).
% 54.39/34.56 tff(20627,plain,
% 54.39/34.56 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB117)) | (~v130(constB117, 1)))),
% 54.39/34.56 inference(quant_inst,[status(thm)],[])).
% 54.39/34.56 tff(20628,plain,
% 54.39/34.56 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB117)) | (~v130(constB117, 1))),
% 54.39/34.56 inference(modus_ponens,[status(thm)],[20627, 20626])).
% 54.39/34.56 tff(20629,plain,
% 54.39/34.56 (~v130(constB117, 1)),
% 54.39/34.56 inference(unit_resolution,[status(thm)],[20628, 2581, 20508])).
% 54.39/34.56 tff(20630,plain,
% 54.39/34.56 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB117, 1)) | v26(constB117) | v130(constB117, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB117, 1)) | v26(constB117) | v130(constB117, 1))),
% 54.39/34.56 inference(rewrite,[status(thm)],[])).
% 54.39/34.56 tff(20631,plain,
% 54.39/34.56 ((v26(constB117) | v130(constB117, 1) | (~v127(constB117, 1))) <=> ((~v127(constB117, 1)) | v26(constB117) | v130(constB117, 1))),
% 54.39/34.56 inference(rewrite,[status(thm)],[])).
% 54.39/34.56 tff(20632,plain,
% 54.39/34.56 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB117) | v130(constB117, 1) | (~v127(constB117, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB117, 1)) | v26(constB117) | v130(constB117, 1)))),
% 54.39/34.56 inference(monotonicity,[status(thm)],[20631])).
% 54.39/34.56 tff(20633,plain,
% 54.39/34.56 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB117) | v130(constB117, 1) | (~v127(constB117, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB117, 1)) | v26(constB117) | v130(constB117, 1))),
% 54.39/34.56 inference(transitivity,[status(thm)],[20632, 20630])).
% 54.39/34.56 tff(20634,plain,
% 54.39/34.56 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB117) | v130(constB117, 1) | (~v127(constB117, 1)))),
% 54.39/34.56 inference(quant_inst,[status(thm)],[])).
% 54.39/34.56 tff(20635,plain,
% 54.39/34.56 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB117, 1)) | v26(constB117) | v130(constB117, 1)),
% 54.39/34.56 inference(modus_ponens,[status(thm)],[20634, 20633])).
% 54.39/34.56 tff(20636,plain,
% 54.39/34.56 ((~v127(constB117, 1)) | v130(constB117, 1)),
% 54.39/34.56 inference(unit_resolution,[status(thm)],[20635, 1276, 20530])).
% 54.39/34.56 tff(20637,plain,
% 54.39/34.56 (~v127(constB117, 1)),
% 54.39/34.56 inference(unit_resolution,[status(thm)],[20636, 20629])).
% 54.39/34.56 tff(20638,plain,
% 54.39/34.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB117, constB118)) | v127(constB117, 1) | (~v129(constB118, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB117, constB118)) | v127(constB117, 1) | (~v129(constB118, 1)))),
% 54.39/34.56 inference(rewrite,[status(thm)],[])).
% 54.39/34.56 tff(20639,plain,
% 54.39/34.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB117, constB118)) | v127(constB117, 1) | (~v129(constB118, 1)))),
% 54.39/34.56 inference(quant_inst,[status(thm)],[])).
% 54.39/34.56 tff(20640,plain,
% 54.39/34.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB117, constB118)) | v127(constB117, 1) | (~v129(constB118, 1))),
% 54.39/34.56 inference(modus_ponens,[status(thm)],[20639, 20638])).
% 54.39/34.56 tff(20641,plain,
% 54.39/34.56 (v127(constB117, 1) | (~v129(constB118, 1))),
% 54.39/34.56 inference(unit_resolution,[status(thm)],[20640, 1294, 20545])).
% 54.39/34.56 tff(20642,plain,
% 54.39/34.56 (~v129(constB118, 1)),
% 54.39/34.56 inference(unit_resolution,[status(thm)],[20641, 20637])).
% 54.39/34.56 tff(20643,plain,
% 54.39/34.56 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB118, 1)) | v129(constB118, 1) | (~v100(constB118)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB118, 1)) | v129(constB118, 1) | (~v100(constB118)))),
% 54.39/34.56 inference(rewrite,[status(thm)],[])).
% 54.39/34.56 tff(20644,plain,
% 54.39/34.56 (((~v90(constB118, 1)) | (~v100(constB118)) | v129(constB118, 1)) <=> ((~v90(constB118, 1)) | v129(constB118, 1) | (~v100(constB118)))),
% 54.39/34.56 inference(rewrite,[status(thm)],[])).
% 54.39/34.56 tff(20645,plain,
% 54.39/34.56 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB118, 1)) | (~v100(constB118)) | v129(constB118, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB118, 1)) | v129(constB118, 1) | (~v100(constB118))))),
% 54.39/34.56 inference(monotonicity,[status(thm)],[20644])).
% 54.39/34.56 tff(20646,plain,
% 54.39/34.56 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB118, 1)) | (~v100(constB118)) | v129(constB118, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB118, 1)) | v129(constB118, 1) | (~v100(constB118)))),
% 54.39/34.56 inference(transitivity,[status(thm)],[20645, 20643])).
% 54.39/34.56 tff(20647,plain,
% 54.39/34.56 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB118, 1)) | (~v100(constB118)) | v129(constB118, 1))),
% 54.39/34.56 inference(quant_inst,[status(thm)],[])).
% 54.39/34.56 tff(20648,plain,
% 54.39/34.56 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB118, 1)) | v129(constB118, 1) | (~v100(constB118))),
% 54.39/34.56 inference(modus_ponens,[status(thm)],[20647, 20646])).
% 54.39/34.56 tff(20649,plain,
% 54.39/34.56 ((~v90(constB118, 1)) | (~v100(constB118))),
% 54.39/34.56 inference(unit_resolution,[status(thm)],[20648, 1309, 20642])).
% 54.39/34.56 tff(20650,plain,
% 54.39/34.56 (~v90(constB118, 1)),
% 54.39/34.56 inference(unit_resolution,[status(thm)],[20649, 20576])).
% 54.39/34.56 tff(20651,plain,
% 54.39/34.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB118, 1) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB118, 1) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, 1)))),
% 54.39/34.56 inference(rewrite,[status(thm)],[])).
% 54.39/34.56 tff(20652,plain,
% 54.39/34.56 (((~nextState(constB118, constB119)) | v90(constB118, 1) | v100(constB119) | (~v90(constB119, 1))) <=> (v90(constB118, 1) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, 1)))),
% 54.39/34.56 inference(rewrite,[status(thm)],[])).
% 54.39/34.56 tff(20653,plain,
% 54.39/34.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB118, constB119)) | v90(constB118, 1) | v100(constB119) | (~v90(constB119, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB118, 1) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, 1))))),
% 54.39/34.56 inference(monotonicity,[status(thm)],[20652])).
% 54.39/34.56 tff(20654,plain,
% 54.39/34.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB118, constB119)) | v90(constB118, 1) | v100(constB119) | (~v90(constB119, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB118, 1) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, 1)))),
% 54.39/34.56 inference(transitivity,[status(thm)],[20653, 20651])).
% 54.39/34.56 tff(20655,plain,
% 54.39/34.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB118, constB119)) | v90(constB118, 1) | v100(constB119) | (~v90(constB119, 1)))),
% 54.39/34.56 inference(quant_inst,[status(thm)],[])).
% 54.39/34.56 tff(20656,plain,
% 54.39/34.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB118, 1) | (~nextState(constB118, constB119)) | v100(constB119) | (~v90(constB119, 1))),
% 54.39/34.56 inference(modus_ponens,[status(thm)],[20655, 20654])).
% 54.39/34.56 tff(20657,plain,
% 54.39/34.56 (v90(constB118, 1) | v100(constB119) | (~v90(constB119, 1))),
% 54.39/34.56 inference(unit_resolution,[status(thm)],[20656, 926, 20604])).
% 54.39/34.56 tff(20658,plain,
% 54.39/34.56 (v90(constB118, 1) | (~v90(constB119, 1))),
% 54.39/34.56 inference(unit_resolution,[status(thm)],[20657, 20616])).
% 54.39/34.56 tff(20659,plain,
% 54.39/34.56 (~v90(constB119, 1)),
% 54.39/34.56 inference(unit_resolution,[status(thm)],[20658, 20650])).
% 54.39/34.56 tff(20660,plain,
% 54.39/34.56 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB117)) | v130(constB117, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB117)) | v130(constB117, 0))),
% 54.39/34.56 inference(rewrite,[status(thm)],[])).
% 54.39/34.56 tff(20661,plain,
% 54.39/34.56 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB117)) | v130(constB117, 0))),
% 54.39/34.56 inference(quant_inst,[status(thm)],[])).
% 54.39/34.56 tff(20662,plain,
% 54.39/34.56 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB117)) | v130(constB117, 0)),
% 54.39/34.56 inference(modus_ponens,[status(thm)],[20661, 20660])).
% 54.39/34.56 tff(20663,plain,
% 54.39/34.56 (v130(constB117, 0)),
% 54.39/34.56 inference(unit_resolution,[status(thm)],[20662, 2622, 20508])).
% 54.39/34.56 tff(20664,plain,
% 54.39/34.56 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB117) | (~v130(constB117, 0)) | v127(constB117, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB117) | (~v130(constB117, 0)) | v127(constB117, 0))),
% 54.39/34.56 inference(rewrite,[status(thm)],[])).
% 54.39/34.56 tff(20665,plain,
% 54.39/34.56 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB117) | (~v130(constB117, 0)) | v127(constB117, 0))),
% 54.39/34.56 inference(quant_inst,[status(thm)],[])).
% 54.39/34.56 tff(20666,plain,
% 54.39/34.56 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB117) | (~v130(constB117, 0)) | v127(constB117, 0)),
% 54.39/34.56 inference(modus_ponens,[status(thm)],[20665, 20664])).
% 54.39/34.56 tff(20667,plain,
% 54.39/34.56 ((~v130(constB117, 0)) | v127(constB117, 0)),
% 54.39/34.56 inference(unit_resolution,[status(thm)],[20666, 1347, 20530])).
% 54.39/34.56 tff(20668,plain,
% 54.39/34.56 (v127(constB117, 0)),
% 54.39/34.56 inference(unit_resolution,[status(thm)],[20667, 20663])).
% 54.39/34.56 tff(20669,plain,
% 54.39/34.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB117, constB118)) | (~v127(constB117, 0)) | v129(constB118, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB117, constB118)) | (~v127(constB117, 0)) | v129(constB118, 0))),
% 54.39/34.56 inference(rewrite,[status(thm)],[])).
% 54.39/34.56 tff(20670,plain,
% 54.39/34.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB117, constB118)) | (~v127(constB117, 0)) | v129(constB118, 0))),
% 54.39/34.56 inference(quant_inst,[status(thm)],[])).
% 54.39/34.56 tff(20671,plain,
% 54.39/34.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB117, constB118)) | (~v127(constB117, 0)) | v129(constB118, 0)),
% 54.39/34.56 inference(modus_ponens,[status(thm)],[20670, 20669])).
% 54.39/34.56 tff(20672,plain,
% 54.39/34.56 ((~v127(constB117, 0)) | v129(constB118, 0)),
% 54.39/34.56 inference(unit_resolution,[status(thm)],[20671, 1362, 20545])).
% 54.39/34.56 tff(20673,plain,
% 54.39/34.56 (v129(constB118, 0)),
% 54.39/34.56 inference(unit_resolution,[status(thm)],[20672, 20668])).
% 54.39/34.56 tff(20674,plain,
% 54.39/34.56 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB118, 0) | (~v129(constB118, 0)) | (~v100(constB118)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB118, 0) | (~v129(constB118, 0)) | (~v100(constB118)))),
% 54.39/34.56 inference(rewrite,[status(thm)],[])).
% 54.39/34.56 tff(20675,plain,
% 54.39/34.56 ((v90(constB118, 0) | (~v100(constB118)) | (~v129(constB118, 0))) <=> (v90(constB118, 0) | (~v129(constB118, 0)) | (~v100(constB118)))),
% 54.39/34.56 inference(rewrite,[status(thm)],[])).
% 54.39/34.56 tff(20676,plain,
% 54.39/34.56 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB118, 0) | (~v100(constB118)) | (~v129(constB118, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB118, 0) | (~v129(constB118, 0)) | (~v100(constB118))))),
% 54.39/34.56 inference(monotonicity,[status(thm)],[20675])).
% 54.39/34.56 tff(20677,plain,
% 54.39/34.56 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB118, 0) | (~v100(constB118)) | (~v129(constB118, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB118, 0) | (~v129(constB118, 0)) | (~v100(constB118)))),
% 54.39/34.56 inference(transitivity,[status(thm)],[20676, 20674])).
% 54.39/34.56 tff(20678,plain,
% 54.39/34.56 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB118, 0) | (~v100(constB118)) | (~v129(constB118, 0)))),
% 54.39/34.56 inference(quant_inst,[status(thm)],[])).
% 54.39/34.56 tff(20679,plain,
% 54.39/34.56 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB118, 0) | (~v129(constB118, 0)) | (~v100(constB118))),
% 54.39/34.56 inference(modus_ponens,[status(thm)],[20678, 20677])).
% 54.39/34.56 tff(20680,plain,
% 54.39/34.56 (v90(constB118, 0) | (~v100(constB118))),
% 54.39/34.56 inference(unit_resolution,[status(thm)],[20679, 1377, 20673])).
% 54.39/34.56 tff(20681,plain,
% 54.39/34.56 (v90(constB118, 0)),
% 54.39/34.56 inference(unit_resolution,[status(thm)],[20680, 20576])).
% 54.39/34.56 tff(20682,plain,
% 54.39/34.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB118, 0)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB118, 0)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, 0))),
% 54.39/34.56 inference(rewrite,[status(thm)],[])).
% 54.39/34.56 tff(20683,plain,
% 54.39/34.56 (((~nextState(constB118, constB119)) | (~v90(constB118, 0)) | v100(constB119) | v90(constB119, 0)) <=> ((~v90(constB118, 0)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, 0))),
% 54.39/34.56 inference(rewrite,[status(thm)],[])).
% 54.39/34.56 tff(20684,plain,
% 54.39/34.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB118, constB119)) | (~v90(constB118, 0)) | v100(constB119) | v90(constB119, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB118, 0)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, 0)))),
% 54.39/34.57 inference(monotonicity,[status(thm)],[20683])).
% 54.39/34.57 tff(20685,plain,
% 54.39/34.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB118, constB119)) | (~v90(constB118, 0)) | v100(constB119) | v90(constB119, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB118, 0)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, 0))),
% 54.39/34.57 inference(transitivity,[status(thm)],[20684, 20682])).
% 54.39/34.57 tff(20686,plain,
% 54.39/34.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB118, constB119)) | (~v90(constB118, 0)) | v100(constB119) | v90(constB119, 0))),
% 54.39/34.57 inference(quant_inst,[status(thm)],[])).
% 54.39/34.57 tff(20687,plain,
% 54.39/34.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB118, 0)) | (~nextState(constB118, constB119)) | v100(constB119) | v90(constB119, 0)),
% 54.39/34.57 inference(modus_ponens,[status(thm)],[20686, 20685])).
% 54.39/34.57 tff(20688,plain,
% 54.39/34.57 ((~v90(constB118, 0)) | v100(constB119) | v90(constB119, 0)),
% 54.39/34.57 inference(unit_resolution,[status(thm)],[20687, 1395, 20604])).
% 54.39/34.57 tff(20689,plain,
% 54.39/34.57 ((~v90(constB118, 0)) | v90(constB119, 0)),
% 54.39/34.57 inference(unit_resolution,[status(thm)],[20688, 20616])).
% 54.39/34.57 tff(20690,plain,
% 54.39/34.57 (v90(constB119, 0)),
% 54.39/34.57 inference(unit_resolution,[status(thm)],[20689, 20681])).
% 54.39/34.57 tff(20691,plain,
% 54.39/34.57 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB119, 0)) | v90(constB119, 1) | (~v90(constB119, 2)) | v124(constB119))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB119, 0)) | v90(constB119, 1) | (~v90(constB119, 2)) | v124(constB119))),
% 54.39/34.57 inference(rewrite,[status(thm)],[])).
% 54.39/34.57 tff(20692,plain,
% 54.39/34.57 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB119, 0)) | v90(constB119, 1) | (~v90(constB119, 2)) | v124(constB119))),
% 54.39/34.57 inference(quant_inst,[status(thm)],[])).
% 54.39/34.57 tff(20693,plain,
% 54.39/34.57 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB119, 0)) | v90(constB119, 1) | (~v90(constB119, 2)) | v124(constB119)),
% 54.39/34.57 inference(modus_ponens,[status(thm)],[20692, 20691])).
% 54.39/34.57 tff(20694,plain,
% 54.39/34.57 (v124(constB119)),
% 54.39/34.57 inference(unit_resolution,[status(thm)],[20693, 2663, 20690, 20659, 20625])).
% 54.39/34.57 tff(20695,plain,
% 54.39/34.57 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB119)) | v114(constB119))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB119)) | v114(constB119))),
% 54.39/34.57 inference(rewrite,[status(thm)],[])).
% 54.39/34.57 tff(20696,plain,
% 54.39/34.57 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB119)) | v114(constB119))),
% 54.39/34.57 inference(quant_inst,[status(thm)],[])).
% 54.39/34.57 tff(20697,plain,
% 54.39/34.57 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB119)) | v114(constB119)),
% 54.39/34.57 inference(modus_ponens,[status(thm)],[20696, 20695])).
% 54.39/34.57 tff(20698,plain,
% 54.39/34.57 (v114(constB119)),
% 54.39/34.57 inference(unit_resolution,[status(thm)],[20697, 2674, 20694])).
% 54.39/34.57 tff(20699,plain,
% 54.39/34.57 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB119) | (~v114(constB119)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB119) | (~v114(constB119)))),
% 54.39/34.57 inference(rewrite,[status(thm)],[])).
% 54.39/34.57 tff(20700,plain,
% 54.39/34.57 (((~v114(constB119)) | v113(constB119)) <=> (v113(constB119) | (~v114(constB119)))),
% 54.39/34.57 inference(rewrite,[status(thm)],[])).
% 54.39/34.57 tff(20701,plain,
% 54.39/34.57 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB119)) | v113(constB119))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB119) | (~v114(constB119))))),
% 54.39/34.57 inference(monotonicity,[status(thm)],[20700])).
% 54.39/34.57 tff(20702,plain,
% 54.39/34.57 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB119)) | v113(constB119))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB119) | (~v114(constB119)))),
% 54.39/34.57 inference(transitivity,[status(thm)],[20701, 20699])).
% 54.39/34.57 tff(20703,plain,
% 54.39/34.57 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB119)) | v113(constB119))),
% 54.39/34.57 inference(quant_inst,[status(thm)],[])).
% 54.39/34.57 tff(20704,plain,
% 54.39/34.57 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB119) | (~v114(constB119))),
% 54.39/34.57 inference(modus_ponens,[status(thm)],[20703, 20702])).
% 54.39/34.57 tff(20705,plain,
% 54.39/34.57 (v113(constB119)),
% 54.39/34.57 inference(unit_resolution,[status(thm)],[20704, 1049, 20698])).
% 54.39/34.57 tff(20706,assumption,(v26(constB119)), introduced(assumption)).
% 54.39/34.57 tff(20707,plain,
% 54.39/34.57 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB119))),
% 54.39/34.57 inference(quant_inst,[status(thm)],[])).
% 54.39/34.57 tff(20708,plain,
% 54.39/34.57 ($false),
% 54.39/34.57 inference(unit_resolution,[status(thm)],[20707, 828, 20706])).
% 54.39/34.57 tff(20709,plain,(~v26(constB119)), inference(lemma,lemma(discharge,[]))).
% 54.39/34.57 tff(20710,plain,
% 54.39/34.57 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB119) | (~v113(constB119)) | v112(constB119))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB119) | (~v113(constB119)) | v112(constB119))),
% 54.39/34.57 inference(rewrite,[status(thm)],[])).
% 54.39/34.57 tff(20711,plain,
% 54.39/34.57 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB119) | (~v113(constB119)) | v112(constB119))),
% 54.39/34.57 inference(quant_inst,[status(thm)],[])).
% 54.39/34.57 tff(20712,plain,
% 54.39/34.57 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB119) | (~v113(constB119)) | v112(constB119)),
% 54.39/34.57 inference(modus_ponens,[status(thm)],[20711, 20710])).
% 54.39/34.57 tff(20713,plain,
% 54.39/34.57 ((~v113(constB119)) | v112(constB119)),
% 54.39/34.57 inference(unit_resolution,[status(thm)],[20712, 1063, 20709])).
% 54.39/34.57 tff(20714,plain,
% 54.39/34.57 (v112(constB119)),
% 54.39/34.57 inference(unit_resolution,[status(thm)],[20713, 20705])).
% 54.39/34.57 tff(20715,plain,
% 54.39/34.57 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB119) | (~v112(constB119)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB119) | (~v112(constB119)))),
% 54.39/34.57 inference(rewrite,[status(thm)],[])).
% 54.39/34.57 tff(20716,plain,
% 54.39/34.57 (((~v112(constB119)) | v108(constB119)) <=> (v108(constB119) | (~v112(constB119)))),
% 54.39/34.57 inference(rewrite,[status(thm)],[])).
% 54.39/34.57 tff(20717,plain,
% 54.39/34.57 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB119)) | v108(constB119))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB119) | (~v112(constB119))))),
% 54.39/34.57 inference(monotonicity,[status(thm)],[20716])).
% 54.39/34.57 tff(20718,plain,
% 54.39/34.57 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB119)) | v108(constB119))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB119) | (~v112(constB119)))),
% 54.39/34.57 inference(transitivity,[status(thm)],[20717, 20715])).
% 54.39/34.57 tff(20719,plain,
% 54.39/34.57 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB119)) | v108(constB119))),
% 54.39/34.57 inference(quant_inst,[status(thm)],[])).
% 54.39/34.57 tff(20720,plain,
% 54.39/34.57 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB119) | (~v112(constB119))),
% 54.39/34.57 inference(modus_ponens,[status(thm)],[20719, 20718])).
% 54.39/34.57 tff(20721,plain,
% 54.39/34.57 (v108(constB119)),
% 54.39/34.57 inference(unit_resolution,[status(thm)],[20720, 1075, 20714])).
% 54.39/34.57 tff(20722,plain,
% 54.39/34.57 (nextState(constB119, constB120) <=> nextState(constB119, constB120)),
% 54.39/34.57 inference(rewrite,[status(thm)],[])).
% 54.39/34.57 tff(20723,axiom,(nextState(constB119, constB120)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_119_1')).
% 54.39/34.57 tff(20724,plain,
% 54.39/34.57 (nextState(constB119, constB120)),
% 54.39/34.57 inference(modus_ponens,[status(thm)],[20723, 20722])).
% 54.39/34.57 tff(20725,plain,
% 54.39/34.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119)))),
% 54.39/34.57 inference(rewrite,[status(thm)],[])).
% 54.39/34.57 tff(20726,plain,
% 54.39/34.57 (((~nextState(constB119, constB120)) | (~v108(constB119)) | v110(constB120)) <=> ((~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119)))),
% 54.39/34.57 inference(rewrite,[status(thm)],[])).
% 54.39/34.57 tff(20727,plain,
% 54.39/34.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB119, constB120)) | (~v108(constB119)) | v110(constB120))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119))))),
% 54.39/34.57 inference(monotonicity,[status(thm)],[20726])).
% 54.39/34.57 tff(20728,plain,
% 54.39/34.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB119, constB120)) | (~v108(constB119)) | v110(constB120))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119)))),
% 54.39/34.57 inference(transitivity,[status(thm)],[20727, 20725])).
% 54.39/34.57 tff(20729,plain,
% 54.39/34.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB119, constB120)) | (~v108(constB119)) | v110(constB120))),
% 54.39/34.57 inference(quant_inst,[status(thm)],[])).
% 54.39/34.57 tff(20730,plain,
% 54.39/34.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB119, constB120)) | v110(constB120) | (~v108(constB119))),
% 54.39/34.57 inference(modus_ponens,[status(thm)],[20729, 20728])).
% 54.39/34.57 tff(20731,plain,
% 54.39/34.57 (v110(constB120) | (~v108(constB119))),
% 54.39/34.57 inference(unit_resolution,[status(thm)],[20730, 1095, 20724])).
% 54.39/34.57 tff(20732,plain,
% 54.39/34.57 (v110(constB120)),
% 54.39/34.57 inference(unit_resolution,[status(thm)],[20731, 20721])).
% 54.39/34.57 tff(20733,plain,
% 54.39/34.57 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB119) | (~nextState(constB119, constB120)) | (~v104(constB120)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB119) | (~nextState(constB119, constB120)) | (~v104(constB120)))),
% 54.39/34.57 inference(rewrite,[status(thm)],[])).
% 54.39/34.57 tff(20734,plain,
% 54.39/34.57 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB119) | (~nextState(constB119, constB120)) | (~v104(constB120)))),
% 54.39/34.57 inference(quant_inst,[status(thm)],[])).
% 54.39/34.57 tff(20735,plain,
% 54.39/34.57 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB119) | (~nextState(constB119, constB120)) | (~v104(constB120))),
% 54.39/34.57 inference(modus_ponens,[status(thm)],[20734, 20733])).
% 54.39/34.57 tff(20736,plain,
% 54.39/34.57 (~v104(constB120)),
% 54.39/34.57 inference(unit_resolution,[status(thm)],[20735, 1113, 20724, 20601])).
% 54.39/34.57 tff(20737,plain,
% 54.39/34.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB119, constB120)) | v102(constB120) | v104(constB120))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB119, constB120)) | v102(constB120) | v104(constB120))),
% 54.39/34.57 inference(rewrite,[status(thm)],[])).
% 54.39/34.57 tff(20738,plain,
% 54.39/34.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB119, constB120)) | v102(constB120) | v104(constB120))),
% 54.39/34.57 inference(quant_inst,[status(thm)],[])).
% 54.39/34.57 tff(20739,plain,
% 54.39/34.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB119, constB120)) | v102(constB120) | v104(constB120)),
% 54.39/34.57 inference(modus_ponens,[status(thm)],[20738, 20737])).
% 54.39/34.57 tff(20740,plain,
% 54.39/34.57 (v102(constB120) | v104(constB120)),
% 54.39/34.57 inference(unit_resolution,[status(thm)],[20739, 1127, 20724])).
% 54.39/34.57 tff(20741,plain,
% 54.39/34.57 (v102(constB120)),
% 54.39/34.57 inference(unit_resolution,[status(thm)],[20740, 20736])).
% 54.39/34.57 tff(20742,plain,
% 54.39/34.57 (v1(constB120) <=> v1(constB120)),
% 54.39/34.57 inference(rewrite,[status(thm)],[])).
% 54.39/34.57 tff(20743,axiom,(v1(constB120)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_120_1')).
% 54.39/34.57 tff(20744,plain,
% 54.39/34.57 (v1(constB120)),
% 54.39/34.57 inference(modus_ponens,[status(thm)],[20743, 20742])).
% 54.39/34.57 tff(20745,plain,
% 54.39/34.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB119, constB120)) | v101(constB120) | (~v102(constB120)) | (~v1(constB120)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB119, constB120)) | v101(constB120) | (~v102(constB120)) | (~v1(constB120)))),
% 54.39/34.57 inference(rewrite,[status(thm)],[])).
% 54.39/34.57 tff(20746,plain,
% 54.39/34.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB119, constB120)) | v101(constB120) | (~v102(constB120)) | (~v1(constB120)))),
% 54.39/34.57 inference(quant_inst,[status(thm)],[])).
% 54.39/34.57 tff(20747,plain,
% 54.39/34.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB119, constB120)) | v101(constB120) | (~v102(constB120)) | (~v1(constB120))),
% 54.39/34.57 inference(modus_ponens,[status(thm)],[20746, 20745])).
% 54.39/34.57 tff(20748,plain,
% 54.39/34.57 (v101(constB120) | (~v102(constB120))),
% 54.39/34.57 inference(unit_resolution,[status(thm)],[20747, 1145, 20724, 20744])).
% 54.39/34.57 tff(20749,plain,
% 54.39/34.57 (v101(constB120)),
% 54.39/34.57 inference(unit_resolution,[status(thm)],[20748, 20741])).
% 54.39/34.57 tff(20750,plain,
% 54.39/34.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120)))),
% 54.39/34.57 inference(rewrite,[status(thm)],[])).
% 54.39/34.57 tff(20751,plain,
% 54.39/34.57 (((~nextState(constB119, constB120)) | (~v101(constB120)) | (~v110(constB120)) | v100(constB120)) <=> ((~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120)))),
% 54.39/34.57 inference(rewrite,[status(thm)],[])).
% 54.39/34.57 tff(20752,plain,
% 54.39/34.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB119, constB120)) | (~v101(constB120)) | (~v110(constB120)) | v100(constB120))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120))))),
% 54.39/34.57 inference(monotonicity,[status(thm)],[20751])).
% 54.39/34.57 tff(20753,plain,
% 54.39/34.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB119, constB120)) | (~v101(constB120)) | (~v110(constB120)) | v100(constB120))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120)))),
% 54.39/34.57 inference(transitivity,[status(thm)],[20752, 20750])).
% 54.39/34.57 tff(20754,plain,
% 54.39/34.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB119, constB120)) | (~v101(constB120)) | (~v110(constB120)) | v100(constB120))),
% 54.39/34.57 inference(quant_inst,[status(thm)],[])).
% 54.39/34.57 tff(20755,plain,
% 54.39/34.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB119, constB120)) | v100(constB120) | (~v101(constB120)) | (~v110(constB120))),
% 54.39/34.57 inference(modus_ponens,[status(thm)],[20754, 20753])).
% 54.39/34.57 tff(20756,plain,
% 54.39/34.57 (v100(constB120) | (~v101(constB120)) | (~v110(constB120))),
% 54.39/34.57 inference(unit_resolution,[status(thm)],[20755, 1160, 20724])).
% 54.39/34.57 tff(20757,plain,
% 54.39/34.57 (v100(constB120) | (~v110(constB120))),
% 54.39/34.57 inference(unit_resolution,[status(thm)],[20756, 20749])).
% 54.39/34.57 tff(20758,plain,
% 54.39/34.57 (v100(constB120)),
% 54.39/34.57 inference(unit_resolution,[status(thm)],[20757, 20732])).
% 54.39/34.57 tff(20759,plain,
% 54.39/34.57 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB119)) | v130(constB119, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB119)) | v130(constB119, 2))),
% 54.39/34.57 inference(rewrite,[status(thm)],[])).
% 54.39/34.57 tff(20760,plain,
% 54.39/34.57 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB119)) | v130(constB119, 2))),
% 54.39/34.57 inference(quant_inst,[status(thm)],[])).
% 54.39/34.57 tff(20761,plain,
% 54.39/34.57 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB119)) | v130(constB119, 2)),
% 54.39/34.57 inference(modus_ponens,[status(thm)],[20760, 20759])).
% 54.39/34.57 tff(20762,plain,
% 54.39/34.57 (v130(constB119, 2)),
% 54.39/34.57 inference(unit_resolution,[status(thm)],[20761, 2741, 20694])).
% 54.39/34.57 tff(20763,plain,
% 54.39/34.57 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB119) | (~v130(constB119, 2)) | v127(constB119, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB119) | (~v130(constB119, 2)) | v127(constB119, 2))),
% 54.39/34.57 inference(rewrite,[status(thm)],[])).
% 54.39/34.57 tff(20764,plain,
% 54.39/34.57 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB119) | (~v130(constB119, 2)) | v127(constB119, 2))),
% 54.39/34.57 inference(quant_inst,[status(thm)],[])).
% 54.39/34.57 tff(20765,plain,
% 54.39/34.57 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB119) | (~v130(constB119, 2)) | v127(constB119, 2)),
% 54.39/34.57 inference(modus_ponens,[status(thm)],[20764, 20763])).
% 54.39/34.57 tff(20766,plain,
% 54.39/34.57 ((~v130(constB119, 2)) | v127(constB119, 2)),
% 54.39/34.57 inference(unit_resolution,[status(thm)],[20765, 1981, 20709])).
% 54.39/34.57 tff(20767,plain,
% 54.39/34.57 (v127(constB119, 2)),
% 54.39/34.57 inference(unit_resolution,[status(thm)],[20766, 20762])).
% 54.39/34.57 tff(20768,plain,
% 54.39/34.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB119, constB120)) | (~v127(constB119, 2)) | v129(constB120, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB119, constB120)) | (~v127(constB119, 2)) | v129(constB120, 2))),
% 54.39/34.57 inference(rewrite,[status(thm)],[])).
% 54.39/34.57 tff(20769,plain,
% 54.39/34.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB119, constB120)) | (~v127(constB119, 2)) | v129(constB120, 2))),
% 54.39/34.57 inference(quant_inst,[status(thm)],[])).
% 54.39/34.57 tff(20770,plain,
% 54.39/34.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB119, constB120)) | (~v127(constB119, 2)) | v129(constB120, 2)),
% 54.39/34.57 inference(modus_ponens,[status(thm)],[20769, 20768])).
% 54.39/34.57 tff(20771,plain,
% 54.39/34.57 ((~v127(constB119, 2)) | v129(constB120, 2)),
% 54.39/34.57 inference(unit_resolution,[status(thm)],[20770, 1999, 20724])).
% 54.39/34.57 tff(20772,plain,
% 54.39/34.57 (v129(constB120, 2)),
% 54.39/34.57 inference(unit_resolution,[status(thm)],[20771, 20767])).
% 54.39/34.57 tff(20773,plain,
% 54.39/34.57 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB120, 2) | (~v129(constB120, 2)) | (~v100(constB120)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB120, 2) | (~v129(constB120, 2)) | (~v100(constB120)))),
% 54.39/34.57 inference(rewrite,[status(thm)],[])).
% 54.39/34.57 tff(20774,plain,
% 54.39/34.57 ((v90(constB120, 2) | (~v100(constB120)) | (~v129(constB120, 2))) <=> (v90(constB120, 2) | (~v129(constB120, 2)) | (~v100(constB120)))),
% 54.39/34.57 inference(rewrite,[status(thm)],[])).
% 54.39/34.57 tff(20775,plain,
% 54.39/34.57 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB120, 2) | (~v100(constB120)) | (~v129(constB120, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB120, 2) | (~v129(constB120, 2)) | (~v100(constB120))))),
% 54.39/34.57 inference(monotonicity,[status(thm)],[20774])).
% 54.39/34.57 tff(20776,plain,
% 54.39/34.57 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB120, 2) | (~v100(constB120)) | (~v129(constB120, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB120, 2) | (~v129(constB120, 2)) | (~v100(constB120)))),
% 54.39/34.57 inference(transitivity,[status(thm)],[20775, 20773])).
% 54.39/34.57 tff(20777,plain,
% 54.39/34.57 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB120, 2) | (~v100(constB120)) | (~v129(constB120, 2)))),
% 54.39/34.57 inference(quant_inst,[status(thm)],[])).
% 54.39/34.57 tff(20778,plain,
% 54.39/34.57 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB120, 2) | (~v129(constB120, 2)) | (~v100(constB120))),
% 54.39/34.57 inference(modus_ponens,[status(thm)],[20777, 20776])).
% 54.39/34.57 tff(20779,plain,
% 54.39/34.57 (v90(constB120, 2) | (~v100(constB120))),
% 54.39/34.57 inference(unit_resolution,[status(thm)],[20778, 2324, 20772])).
% 54.39/34.57 tff(20780,plain,
% 54.39/34.57 (v90(constB120, 2)),
% 54.39/34.57 inference(unit_resolution,[status(thm)],[20779, 20758])).
% 54.39/34.57 tff(20781,plain,
% 54.39/34.57 ((~v1(constB121)) <=> (~v1(constB121))),
% 54.39/34.57 inference(rewrite,[status(thm)],[])).
% 54.39/34.57 tff(20782,axiom,(~v1(constB121)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_121_1_1')).
% 54.39/34.57 tff(20783,plain,
% 54.39/34.57 (~v1(constB121)),
% 54.39/34.57 inference(modus_ponens,[status(thm)],[20782, 20781])).
% 54.39/34.57 tff(20784,plain,
% 54.39/34.57 (nextState(constB120, constB121) <=> nextState(constB120, constB121)),
% 54.39/34.57 inference(rewrite,[status(thm)],[])).
% 54.39/34.57 tff(20785,axiom,(nextState(constB120, constB121)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_120_1')).
% 54.39/34.57 tff(20786,plain,
% 54.39/34.57 (nextState(constB120, constB121)),
% 54.39/34.57 inference(modus_ponens,[status(thm)],[20785, 20784])).
% 54.39/34.57 tff(20787,plain,
% 54.39/34.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121)))),
% 54.39/34.57 inference(rewrite,[status(thm)],[])).
% 54.39/34.57 tff(20788,plain,
% 54.39/34.57 (((~nextState(constB120, constB121)) | (~v101(constB121)) | v1(constB121)) <=> (v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121)))),
% 54.39/34.57 inference(rewrite,[status(thm)],[])).
% 54.39/34.57 tff(20789,plain,
% 54.39/34.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB120, constB121)) | (~v101(constB121)) | v1(constB121))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121))))),
% 54.39/34.57 inference(monotonicity,[status(thm)],[20788])).
% 54.39/34.57 tff(20790,plain,
% 54.39/34.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB120, constB121)) | (~v101(constB121)) | v1(constB121))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121)))),
% 54.39/34.57 inference(transitivity,[status(thm)],[20789, 20787])).
% 54.39/34.57 tff(20791,plain,
% 54.39/34.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB120, constB121)) | (~v101(constB121)) | v1(constB121))),
% 54.39/34.57 inference(quant_inst,[status(thm)],[])).
% 54.39/34.57 tff(20792,plain,
% 54.39/34.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB121) | (~nextState(constB120, constB121)) | (~v101(constB121))),
% 54.39/34.57 inference(modus_ponens,[status(thm)],[20791, 20790])).
% 54.39/34.57 tff(20793,plain,
% 54.39/34.57 (~v101(constB121)),
% 54.39/34.57 inference(unit_resolution,[status(thm)],[20792, 873, 20786, 20783])).
% 54.39/34.57 tff(20794,plain,
% 54.39/34.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB120, constB121)) | v101(constB121) | (~v100(constB121)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB120, constB121)) | v101(constB121) | (~v100(constB121)))),
% 54.39/34.57 inference(rewrite,[status(thm)],[])).
% 54.39/34.57 tff(20795,plain,
% 54.39/34.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB120, constB121)) | v101(constB121) | (~v100(constB121)))),
% 54.39/34.57 inference(quant_inst,[status(thm)],[])).
% 54.39/34.57 tff(20796,plain,
% 54.39/34.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB120, constB121)) | v101(constB121) | (~v100(constB121))),
% 54.39/34.57 inference(modus_ponens,[status(thm)],[20795, 20794])).
% 54.39/34.57 tff(20797,plain,
% 54.39/34.57 (v101(constB121) | (~v100(constB121))),
% 54.39/34.57 inference(unit_resolution,[status(thm)],[20796, 890, 20786])).
% 54.39/34.57 tff(20798,plain,
% 54.39/34.57 (~v100(constB121)),
% 54.39/34.57 inference(unit_resolution,[status(thm)],[20797, 20793])).
% 54.39/34.57 tff(20799,plain,
% 54.39/34.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB120, 2)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB120, 2)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, 2))),
% 54.39/34.57 inference(rewrite,[status(thm)],[])).
% 54.39/34.57 tff(20800,plain,
% 54.39/34.57 (((~nextState(constB120, constB121)) | (~v90(constB120, 2)) | v100(constB121) | v90(constB121, 2)) <=> ((~v90(constB120, 2)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, 2))),
% 54.39/34.57 inference(rewrite,[status(thm)],[])).
% 54.39/34.57 tff(20801,plain,
% 54.39/34.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB120, constB121)) | (~v90(constB120, 2)) | v100(constB121) | v90(constB121, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB120, 2)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, 2)))),
% 54.39/34.57 inference(monotonicity,[status(thm)],[20800])).
% 54.39/34.57 tff(20802,plain,
% 54.39/34.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB120, constB121)) | (~v90(constB120, 2)) | v100(constB121) | v90(constB121, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB120, 2)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, 2))),
% 54.39/34.57 inference(transitivity,[status(thm)],[20801, 20799])).
% 54.39/34.57 tff(20803,plain,
% 54.39/34.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB120, constB121)) | (~v90(constB120, 2)) | v100(constB121) | v90(constB121, 2))),
% 54.39/34.57 inference(quant_inst,[status(thm)],[])).
% 54.39/34.57 tff(20804,plain,
% 54.39/34.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB120, 2)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, 2)),
% 54.39/34.57 inference(modus_ponens,[status(thm)],[20803, 20802])).
% 54.39/34.57 tff(20805,plain,
% 54.39/34.57 ((~v90(constB120, 2)) | v100(constB121) | v90(constB121, 2)),
% 54.39/34.57 inference(unit_resolution,[status(thm)],[20804, 2174, 20786])).
% 54.39/34.57 tff(20806,plain,
% 54.39/34.57 ((~v90(constB120, 2)) | v90(constB121, 2)),
% 54.39/34.57 inference(unit_resolution,[status(thm)],[20805, 20798])).
% 54.39/34.57 tff(20807,plain,
% 54.39/34.57 (v90(constB121, 2)),
% 54.39/34.57 inference(unit_resolution,[status(thm)],[20806, 20780])).
% 54.39/34.57 tff(20808,plain,
% 54.39/34.57 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB119)) | v130(constB119, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB119)) | v130(constB119, 1))),
% 54.39/34.57 inference(rewrite,[status(thm)],[])).
% 54.39/34.57 tff(20809,plain,
% 54.39/34.57 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB119)) | v130(constB119, 1))),
% 54.39/34.57 inference(quant_inst,[status(thm)],[])).
% 54.39/34.57 tff(20810,plain,
% 54.39/34.57 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB119)) | v130(constB119, 1)),
% 54.39/34.57 inference(modus_ponens,[status(thm)],[20809, 20808])).
% 54.39/34.57 tff(20811,plain,
% 54.39/34.57 (v130(constB119, 1)),
% 54.39/34.57 inference(unit_resolution,[status(thm)],[20810, 2808, 20694])).
% 54.39/34.57 tff(20812,plain,
% 54.39/34.57 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB119) | (~v130(constB119, 1)) | v127(constB119, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB119) | (~v130(constB119, 1)) | v127(constB119, 1))),
% 54.39/34.57 inference(rewrite,[status(thm)],[])).
% 54.39/34.57 tff(20813,plain,
% 54.39/34.57 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB119) | (~v130(constB119, 1)) | v127(constB119, 1))),
% 54.39/34.57 inference(quant_inst,[status(thm)],[])).
% 54.39/34.57 tff(20814,plain,
% 54.39/34.57 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB119) | (~v130(constB119, 1)) | v127(constB119, 1)),
% 54.39/34.57 inference(modus_ponens,[status(thm)],[20813, 20812])).
% 54.39/34.57 tff(20815,plain,
% 54.39/34.57 ((~v130(constB119, 1)) | v127(constB119, 1)),
% 54.39/34.57 inference(unit_resolution,[status(thm)],[20814, 1593, 20709])).
% 54.39/34.57 tff(20816,plain,
% 54.39/34.57 (v127(constB119, 1)),
% 54.39/34.57 inference(unit_resolution,[status(thm)],[20815, 20811])).
% 54.39/34.57 tff(20817,plain,
% 54.39/34.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB119, constB120)) | (~v127(constB119, 1)) | v129(constB120, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB119, constB120)) | (~v127(constB119, 1)) | v129(constB120, 1))),
% 54.39/34.57 inference(rewrite,[status(thm)],[])).
% 54.39/34.57 tff(20818,plain,
% 54.39/34.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB119, constB120)) | (~v127(constB119, 1)) | v129(constB120, 1))),
% 54.39/34.57 inference(quant_inst,[status(thm)],[])).
% 54.39/34.57 tff(20819,plain,
% 54.39/34.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB119, constB120)) | (~v127(constB119, 1)) | v129(constB120, 1)),
% 54.39/34.57 inference(modus_ponens,[status(thm)],[20818, 20817])).
% 54.39/34.57 tff(20820,plain,
% 54.39/34.57 ((~v127(constB119, 1)) | v129(constB120, 1)),
% 54.39/34.57 inference(unit_resolution,[status(thm)],[20819, 1608, 20724])).
% 54.39/34.57 tff(20821,plain,
% 54.39/34.57 (v129(constB120, 1)),
% 54.39/34.57 inference(unit_resolution,[status(thm)],[20820, 20816])).
% 54.39/34.57 tff(20822,plain,
% 54.39/34.57 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB120, 1) | (~v129(constB120, 1)) | (~v100(constB120)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB120, 1) | (~v129(constB120, 1)) | (~v100(constB120)))),
% 54.39/34.57 inference(rewrite,[status(thm)],[])).
% 54.39/34.57 tff(20823,plain,
% 54.39/34.57 ((v90(constB120, 1) | (~v100(constB120)) | (~v129(constB120, 1))) <=> (v90(constB120, 1) | (~v129(constB120, 1)) | (~v100(constB120)))),
% 54.39/34.57 inference(rewrite,[status(thm)],[])).
% 54.39/34.57 tff(20824,plain,
% 54.39/34.57 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB120, 1) | (~v100(constB120)) | (~v129(constB120, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB120, 1) | (~v129(constB120, 1)) | (~v100(constB120))))),
% 54.39/34.57 inference(monotonicity,[status(thm)],[20823])).
% 54.39/34.57 tff(20825,plain,
% 54.39/34.57 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB120, 1) | (~v100(constB120)) | (~v129(constB120, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB120, 1) | (~v129(constB120, 1)) | (~v100(constB120)))),
% 54.39/34.57 inference(transitivity,[status(thm)],[20824, 20822])).
% 54.39/34.57 tff(20826,plain,
% 54.39/34.57 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB120, 1) | (~v100(constB120)) | (~v129(constB120, 1)))),
% 54.39/34.57 inference(quant_inst,[status(thm)],[])).
% 54.39/34.57 tff(20827,plain,
% 54.39/34.57 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB120, 1) | (~v129(constB120, 1)) | (~v100(constB120))),
% 54.39/34.57 inference(modus_ponens,[status(thm)],[20826, 20825])).
% 54.39/34.57 tff(20828,plain,
% 54.39/34.57 (v90(constB120, 1) | (~v100(constB120))),
% 54.39/34.57 inference(unit_resolution,[status(thm)],[20827, 1623, 20821])).
% 54.39/34.57 tff(20829,plain,
% 54.39/34.57 (v90(constB120, 1)),
% 54.39/34.57 inference(unit_resolution,[status(thm)],[20828, 20758])).
% 54.39/34.57 tff(20830,plain,
% 54.39/34.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB120, 1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB120, 1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, 1))),
% 54.39/34.57 inference(rewrite,[status(thm)],[])).
% 54.39/34.57 tff(20831,plain,
% 54.39/34.57 (((~nextState(constB120, constB121)) | (~v90(constB120, 1)) | v100(constB121) | v90(constB121, 1)) <=> ((~v90(constB120, 1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, 1))),
% 54.39/34.57 inference(rewrite,[status(thm)],[])).
% 54.39/34.57 tff(20832,plain,
% 54.39/34.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB120, constB121)) | (~v90(constB120, 1)) | v100(constB121) | v90(constB121, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB120, 1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, 1)))),
% 54.39/34.57 inference(monotonicity,[status(thm)],[20831])).
% 54.39/34.57 tff(20833,plain,
% 54.39/34.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB120, constB121)) | (~v90(constB120, 1)) | v100(constB121) | v90(constB121, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB120, 1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, 1))),
% 54.39/34.57 inference(transitivity,[status(thm)],[20832, 20830])).
% 54.39/34.57 tff(20834,plain,
% 54.39/34.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB120, constB121)) | (~v90(constB120, 1)) | v100(constB121) | v90(constB121, 1))),
% 54.39/34.57 inference(quant_inst,[status(thm)],[])).
% 54.39/34.57 tff(20835,plain,
% 54.39/34.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB120, 1)) | (~nextState(constB120, constB121)) | v100(constB121) | v90(constB121, 1)),
% 54.39/34.57 inference(modus_ponens,[status(thm)],[20834, 20833])).
% 54.39/34.57 tff(20836,plain,
% 54.39/34.57 ((~v90(constB120, 1)) | v100(constB121) | v90(constB121, 1)),
% 54.39/34.57 inference(unit_resolution,[status(thm)],[20835, 1641, 20786])).
% 54.39/34.57 tff(20837,plain,
% 54.39/34.57 ((~v90(constB120, 1)) | v90(constB121, 1)),
% 54.39/34.57 inference(unit_resolution,[status(thm)],[20836, 20798])).
% 54.39/34.57 tff(20838,plain,
% 54.39/34.57 (v90(constB121, 1)),
% 54.39/34.57 inference(unit_resolution,[status(thm)],[20837, 20829])).
% 54.39/34.57 tff(20839,plain,
% 54.39/34.57 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB119)) | (~v130(constB119, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB119)) | (~v130(constB119, 0)))),
% 54.39/34.57 inference(rewrite,[status(thm)],[])).
% 54.39/34.57 tff(20840,plain,
% 54.39/34.57 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB119)) | (~v130(constB119, 0)))),
% 54.39/34.57 inference(quant_inst,[status(thm)],[])).
% 54.39/34.57 tff(20841,plain,
% 54.39/34.57 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB119)) | (~v130(constB119, 0))),
% 54.39/34.57 inference(modus_ponens,[status(thm)],[20840, 20839])).
% 54.39/34.57 tff(20842,plain,
% 54.39/34.57 (~v130(constB119, 0)),
% 54.39/34.57 inference(unit_resolution,[status(thm)],[20841, 3274, 20694])).
% 54.39/34.57 tff(20843,assumption,(v127(constB119, 0)), introduced(assumption)).
% 54.39/34.57 tff(20844,assumption,(~v130(constB119, 0)), introduced(assumption)).
% 54.39/34.57 tff(20845,plain,
% 54.39/34.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB119, 0)) | v26(constB119) | v130(constB119, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB119, 0)) | v26(constB119) | v130(constB119, 0))),
% 54.39/34.57 inference(rewrite,[status(thm)],[])).
% 54.39/34.57 tff(20846,plain,
% 54.39/34.57 ((v26(constB119) | v130(constB119, 0) | (~v127(constB119, 0))) <=> ((~v127(constB119, 0)) | v26(constB119) | v130(constB119, 0))),
% 54.39/34.57 inference(rewrite,[status(thm)],[])).
% 54.39/34.57 tff(20847,plain,
% 54.39/34.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB119) | v130(constB119, 0) | (~v127(constB119, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB119, 0)) | v26(constB119) | v130(constB119, 0)))),
% 54.39/34.57 inference(monotonicity,[status(thm)],[20846])).
% 54.39/34.57 tff(20848,plain,
% 54.39/34.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB119) | v130(constB119, 0) | (~v127(constB119, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB119, 0)) | v26(constB119) | v130(constB119, 0))),
% 54.39/34.57 inference(transitivity,[status(thm)],[20847, 20845])).
% 54.39/34.57 tff(20849,plain,
% 54.39/34.57 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB119) | v130(constB119, 0) | (~v127(constB119, 0)))),
% 54.39/34.57 inference(quant_inst,[status(thm)],[])).
% 54.39/34.57 tff(20850,plain,
% 54.39/34.57 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB119, 0)) | v26(constB119) | v130(constB119, 0)),
% 54.39/34.57 inference(modus_ponens,[status(thm)],[20849, 20848])).
% 54.39/34.57 tff(20851,plain,
% 54.39/34.57 ((~v127(constB119, 0)) | v26(constB119)),
% 54.39/34.57 inference(unit_resolution,[status(thm)],[20850, 1671, 20844])).
% 54.39/34.57 tff(20852,plain,
% 54.39/34.57 (v26(constB119)),
% 54.39/34.57 inference(unit_resolution,[status(thm)],[20851, 20843])).
% 54.39/34.57 tff(20853,plain,
% 54.39/34.57 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | ((~v26(constB119)) | (~v127(constB119, 0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | (~v26(constB119)) | (~v127(constB119, 0)))),
% 54.39/34.57 inference(rewrite,[status(thm)],[])).
% 54.39/34.57 tff(20854,plain,
% 54.39/34.57 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | ((~v26(constB119)) | (~v127(constB119, 0)))),
% 54.39/34.57 inference(quant_inst,[status(thm)],[])).
% 54.39/34.57 tff(20855,plain,
% 54.39/34.57 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | (~v26(constB119)) | (~v127(constB119, 0))),
% 54.39/34.57 inference(modus_ponens,[status(thm)],[20854, 20853])).
% 54.39/34.57 tff(20856,plain,
% 54.39/34.57 ($false),
% 54.39/34.57 inference(unit_resolution,[status(thm)],[20855, 2241, 20843, 20852])).
% 54.39/34.57 tff(20857,plain,((~v127(constB119, 0)) | v130(constB119, 0)), inference(lemma,lemma(discharge,[]))).
% 54.39/34.57 tff(20858,plain,
% 54.39/34.57 (~v127(constB119, 0)),
% 54.39/34.57 inference(unit_resolution,[status(thm)],[20857, 20842])).
% 54.39/34.57 tff(20859,plain,
% 54.39/34.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB119, constB120)) | v127(constB119, 0) | (~v129(constB120, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB119, constB120)) | v127(constB119, 0) | (~v129(constB120, 0)))),
% 54.39/34.57 inference(rewrite,[status(thm)],[])).
% 54.39/34.57 tff(20860,plain,
% 54.39/34.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB119, constB120)) | v127(constB119, 0) | (~v129(constB120, 0)))),
% 54.39/34.57 inference(quant_inst,[status(thm)],[])).
% 54.39/34.57 tff(20861,plain,
% 54.39/34.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB119, constB120)) | v127(constB119, 0) | (~v129(constB120, 0))),
% 54.39/34.57 inference(modus_ponens,[status(thm)],[20860, 20859])).
% 54.39/34.57 tff(20862,plain,
% 54.39/34.57 (v127(constB119, 0) | (~v129(constB120, 0))),
% 54.39/34.57 inference(unit_resolution,[status(thm)],[20861, 1689, 20724])).
% 54.39/34.57 tff(20863,plain,
% 54.39/34.57 (~v129(constB120, 0)),
% 54.39/34.57 inference(unit_resolution,[status(thm)],[20862, 20858])).
% 54.39/34.57 tff(20864,plain,
% 54.39/34.57 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB120, 0)) | v129(constB120, 0) | (~v100(constB120)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB120, 0)) | v129(constB120, 0) | (~v100(constB120)))),
% 54.39/34.57 inference(rewrite,[status(thm)],[])).
% 54.39/34.57 tff(20865,plain,
% 54.39/34.57 (((~v90(constB120, 0)) | (~v100(constB120)) | v129(constB120, 0)) <=> ((~v90(constB120, 0)) | v129(constB120, 0) | (~v100(constB120)))),
% 54.39/34.57 inference(rewrite,[status(thm)],[])).
% 54.39/34.57 tff(20866,plain,
% 54.39/34.57 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB120, 0)) | (~v100(constB120)) | v129(constB120, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB120, 0)) | v129(constB120, 0) | (~v100(constB120))))),
% 54.39/34.57 inference(monotonicity,[status(thm)],[20865])).
% 54.39/34.57 tff(20867,plain,
% 54.39/34.57 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB120, 0)) | (~v100(constB120)) | v129(constB120, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB120, 0)) | v129(constB120, 0) | (~v100(constB120)))),
% 54.39/34.57 inference(transitivity,[status(thm)],[20866, 20864])).
% 54.39/34.57 tff(20868,plain,
% 54.39/34.57 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB120, 0)) | (~v100(constB120)) | v129(constB120, 0))),
% 54.39/34.57 inference(quant_inst,[status(thm)],[])).
% 54.39/34.57 tff(20869,plain,
% 54.39/34.57 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB120, 0)) | v129(constB120, 0) | (~v100(constB120))),
% 54.39/34.57 inference(modus_ponens,[status(thm)],[20868, 20867])).
% 54.39/34.57 tff(20870,plain,
% 54.39/34.57 ((~v90(constB120, 0)) | (~v100(constB120))),
% 54.39/34.57 inference(unit_resolution,[status(thm)],[20869, 1704, 20863])).
% 54.39/34.57 tff(20871,plain,
% 54.39/34.57 (~v90(constB120, 0)),
% 54.39/34.57 inference(unit_resolution,[status(thm)],[20870, 20758])).
% 54.39/34.57 tff(20872,plain,
% 54.39/34.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB120, 0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB120, 0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, 0)))),
% 54.39/34.57 inference(rewrite,[status(thm)],[])).
% 54.39/34.57 tff(20873,plain,
% 54.39/34.57 (((~nextState(constB120, constB121)) | v90(constB120, 0) | v100(constB121) | (~v90(constB121, 0))) <=> (v90(constB120, 0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, 0)))),
% 54.39/34.57 inference(rewrite,[status(thm)],[])).
% 54.39/34.57 tff(20874,plain,
% 54.39/34.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB120, constB121)) | v90(constB120, 0) | v100(constB121) | (~v90(constB121, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB120, 0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, 0))))),
% 54.39/34.57 inference(monotonicity,[status(thm)],[20873])).
% 54.39/34.57 tff(20875,plain,
% 54.39/34.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB120, constB121)) | v90(constB120, 0) | v100(constB121) | (~v90(constB121, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB120, 0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, 0)))),
% 54.39/34.57 inference(transitivity,[status(thm)],[20874, 20872])).
% 54.39/34.57 tff(20876,plain,
% 54.39/34.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB120, constB121)) | v90(constB120, 0) | v100(constB121) | (~v90(constB121, 0)))),
% 54.39/34.57 inference(quant_inst,[status(thm)],[])).
% 54.39/34.57 tff(20877,plain,
% 54.39/34.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB120, 0) | (~nextState(constB120, constB121)) | v100(constB121) | (~v90(constB121, 0))),
% 54.39/34.57 inference(modus_ponens,[status(thm)],[20876, 20875])).
% 54.39/34.57 tff(20878,plain,
% 54.39/34.57 (v90(constB120, 0) | v100(constB121) | (~v90(constB121, 0))),
% 54.39/34.57 inference(unit_resolution,[status(thm)],[20877, 947, 20786])).
% 54.39/34.57 tff(20879,plain,
% 54.39/34.57 (v90(constB120, 0) | (~v90(constB121, 0))),
% 54.39/34.57 inference(unit_resolution,[status(thm)],[20878, 20798])).
% 54.39/34.58 tff(20880,plain,
% 54.39/34.58 (~v90(constB121, 0)),
% 54.39/34.58 inference(unit_resolution,[status(thm)],[20879, 20871])).
% 54.39/34.58 tff(20881,plain,
% 54.39/34.58 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB121, 0) | (~v90(constB121, 1)) | (~v90(constB121, 2)) | v125(constB121))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB121, 0) | (~v90(constB121, 1)) | (~v90(constB121, 2)) | v125(constB121))),
% 54.39/34.58 inference(rewrite,[status(thm)],[])).
% 54.39/34.58 tff(20882,plain,
% 54.39/34.58 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB121, 0) | (~v90(constB121, 1)) | (~v90(constB121, 2)) | v125(constB121))),
% 54.39/34.58 inference(quant_inst,[status(thm)],[])).
% 54.39/34.58 tff(20883,plain,
% 54.39/34.58 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB121, 0) | (~v90(constB121, 1)) | (~v90(constB121, 2)) | v125(constB121)),
% 54.39/34.58 inference(modus_ponens,[status(thm)],[20882, 20881])).
% 54.39/34.58 tff(20884,plain,
% 54.39/34.58 (v125(constB121)),
% 54.39/34.58 inference(unit_resolution,[status(thm)],[20883, 2279, 20880, 20838, 20807])).
% 54.39/34.58 tff(20885,plain,
% 54.39/34.58 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB121)) | v113(constB121))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB121)) | v113(constB121))),
% 54.39/34.58 inference(rewrite,[status(thm)],[])).
% 54.39/34.58 tff(20886,plain,
% 54.39/34.58 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB121)) | v113(constB121))),
% 54.39/34.58 inference(quant_inst,[status(thm)],[])).
% 54.39/34.58 tff(20887,plain,
% 54.39/34.58 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB121)) | v113(constB121)),
% 54.39/34.58 inference(modus_ponens,[status(thm)],[20886, 20885])).
% 54.39/34.58 tff(20888,plain,
% 54.39/34.58 (v113(constB121)),
% 54.39/34.58 inference(unit_resolution,[status(thm)],[20887, 2262, 20884])).
% 54.39/34.58 tff(20889,assumption,(v26(constB121)), introduced(assumption)).
% 54.39/34.58 tff(20890,plain,
% 54.39/34.58 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB121))),
% 54.39/34.58 inference(quant_inst,[status(thm)],[])).
% 54.39/34.58 tff(20891,plain,
% 54.39/34.58 ($false),
% 54.39/34.58 inference(unit_resolution,[status(thm)],[20890, 828, 20889])).
% 54.39/34.58 tff(20892,plain,(~v26(constB121)), inference(lemma,lemma(discharge,[]))).
% 54.39/34.58 tff(20893,plain,
% 54.39/34.58 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB121) | v112(constB121) | (~v113(constB121)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB121) | v112(constB121) | (~v113(constB121)))),
% 54.39/34.58 inference(rewrite,[status(thm)],[])).
% 54.39/34.58 tff(20894,plain,
% 54.39/34.58 ((v26(constB121) | (~v113(constB121)) | v112(constB121)) <=> (v26(constB121) | v112(constB121) | (~v113(constB121)))),
% 54.39/34.58 inference(rewrite,[status(thm)],[])).
% 54.39/34.58 tff(20895,plain,
% 54.39/34.58 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB121) | (~v113(constB121)) | v112(constB121))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB121) | v112(constB121) | (~v113(constB121))))),
% 54.39/34.58 inference(monotonicity,[status(thm)],[20894])).
% 54.39/34.58 tff(20896,plain,
% 54.39/34.58 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB121) | (~v113(constB121)) | v112(constB121))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB121) | v112(constB121) | (~v113(constB121)))),
% 54.39/34.58 inference(transitivity,[status(thm)],[20895, 20893])).
% 54.39/34.58 tff(20897,plain,
% 54.39/34.58 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB121) | (~v113(constB121)) | v112(constB121))),
% 54.39/34.58 inference(quant_inst,[status(thm)],[])).
% 54.39/34.58 tff(20898,plain,
% 54.39/34.58 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB121) | v112(constB121) | (~v113(constB121))),
% 54.39/34.58 inference(modus_ponens,[status(thm)],[20897, 20896])).
% 54.39/34.58 tff(20899,plain,
% 54.39/34.58 (v112(constB121) | (~v113(constB121))),
% 54.39/34.58 inference(unit_resolution,[status(thm)],[20898, 1063, 20892])).
% 54.39/34.58 tff(20900,plain,
% 54.39/34.58 (v112(constB121)),
% 54.39/34.58 inference(unit_resolution,[status(thm)],[20899, 20888])).
% 54.39/34.58 tff(20901,plain,
% 54.39/34.58 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB121) | (~v112(constB121)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB121) | (~v112(constB121)))),
% 54.39/34.58 inference(rewrite,[status(thm)],[])).
% 54.39/34.58 tff(20902,plain,
% 54.39/34.58 (((~v112(constB121)) | v108(constB121)) <=> (v108(constB121) | (~v112(constB121)))),
% 54.39/34.58 inference(rewrite,[status(thm)],[])).
% 54.39/34.58 tff(20903,plain,
% 54.39/34.58 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB121)) | v108(constB121))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB121) | (~v112(constB121))))),
% 54.39/34.58 inference(monotonicity,[status(thm)],[20902])).
% 54.39/34.58 tff(20904,plain,
% 54.39/34.58 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB121)) | v108(constB121))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB121) | (~v112(constB121)))),
% 54.39/34.58 inference(transitivity,[status(thm)],[20903, 20901])).
% 54.39/34.58 tff(20905,plain,
% 54.39/34.58 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB121)) | v108(constB121))),
% 54.39/34.58 inference(quant_inst,[status(thm)],[])).
% 54.39/34.58 tff(20906,plain,
% 54.39/34.58 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB121) | (~v112(constB121))),
% 54.39/34.58 inference(modus_ponens,[status(thm)],[20905, 20904])).
% 54.39/34.58 tff(20907,plain,
% 54.39/34.58 (v108(constB121)),
% 54.39/34.58 inference(unit_resolution,[status(thm)],[20906, 1075, 20900])).
% 54.39/34.58 tff(20908,plain,
% 54.39/34.58 (nextState(constB121, constB122) <=> nextState(constB121, constB122)),
% 54.39/34.58 inference(rewrite,[status(thm)],[])).
% 54.39/34.58 tff(20909,axiom,(nextState(constB121, constB122)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_121_1')).
% 54.39/34.58 tff(20910,plain,
% 54.39/34.58 (nextState(constB121, constB122)),
% 54.39/34.58 inference(modus_ponens,[status(thm)],[20909, 20908])).
% 54.39/34.58 tff(20911,plain,
% 54.39/34.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121)))),
% 54.39/34.58 inference(rewrite,[status(thm)],[])).
% 54.39/34.58 tff(20912,plain,
% 54.39/34.58 (((~nextState(constB121, constB122)) | (~v108(constB121)) | v110(constB122)) <=> ((~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121)))),
% 54.39/34.58 inference(rewrite,[status(thm)],[])).
% 54.39/34.58 tff(20913,plain,
% 54.39/34.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB121, constB122)) | (~v108(constB121)) | v110(constB122))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121))))),
% 54.39/34.58 inference(monotonicity,[status(thm)],[20912])).
% 54.39/34.58 tff(20914,plain,
% 54.39/34.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB121, constB122)) | (~v108(constB121)) | v110(constB122))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121)))),
% 54.39/34.58 inference(transitivity,[status(thm)],[20913, 20911])).
% 54.39/34.58 tff(20915,plain,
% 54.39/34.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB121, constB122)) | (~v108(constB121)) | v110(constB122))),
% 54.39/34.58 inference(quant_inst,[status(thm)],[])).
% 54.39/34.58 tff(20916,plain,
% 54.39/34.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB121, constB122)) | v110(constB122) | (~v108(constB121))),
% 54.39/34.58 inference(modus_ponens,[status(thm)],[20915, 20914])).
% 54.39/34.58 tff(20917,plain,
% 54.39/34.58 (v110(constB122) | (~v108(constB121))),
% 54.39/34.58 inference(unit_resolution,[status(thm)],[20916, 1095, 20910])).
% 54.39/34.58 tff(20918,plain,
% 54.39/34.58 (v110(constB122)),
% 54.39/34.58 inference(unit_resolution,[status(thm)],[20917, 20907])).
% 54.39/34.58 tff(20919,plain,
% 54.39/34.58 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB121) | (~nextState(constB121, constB122)) | (~v104(constB122)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB121) | (~nextState(constB121, constB122)) | (~v104(constB122)))),
% 54.39/34.58 inference(rewrite,[status(thm)],[])).
% 54.39/34.58 tff(20920,plain,
% 54.39/34.58 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB121) | (~nextState(constB121, constB122)) | (~v104(constB122)))),
% 54.39/34.58 inference(quant_inst,[status(thm)],[])).
% 54.39/34.58 tff(20921,plain,
% 54.39/34.58 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB121) | (~nextState(constB121, constB122)) | (~v104(constB122))),
% 54.39/34.58 inference(modus_ponens,[status(thm)],[20920, 20919])).
% 54.39/34.58 tff(20922,plain,
% 54.39/34.58 (~v104(constB122)),
% 54.39/34.58 inference(unit_resolution,[status(thm)],[20921, 1113, 20910, 20783])).
% 54.39/34.58 tff(20923,plain,
% 54.39/34.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB121, constB122)) | v102(constB122) | v104(constB122))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB121, constB122)) | v102(constB122) | v104(constB122))),
% 54.39/34.58 inference(rewrite,[status(thm)],[])).
% 54.39/34.58 tff(20924,plain,
% 54.39/34.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB121, constB122)) | v102(constB122) | v104(constB122))),
% 54.39/34.58 inference(quant_inst,[status(thm)],[])).
% 54.39/34.58 tff(20925,plain,
% 54.39/34.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB121, constB122)) | v102(constB122) | v104(constB122)),
% 54.39/34.58 inference(modus_ponens,[status(thm)],[20924, 20923])).
% 54.39/34.58 tff(20926,plain,
% 54.39/34.58 (v102(constB122) | v104(constB122)),
% 54.39/34.58 inference(unit_resolution,[status(thm)],[20925, 1127, 20910])).
% 54.39/34.58 tff(20927,plain,
% 54.39/34.58 (v102(constB122)),
% 54.39/34.58 inference(unit_resolution,[status(thm)],[20926, 20922])).
% 54.39/34.58 tff(20928,plain,
% 54.39/34.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB121, constB122)) | v101(constB122) | (~v102(constB122)) | (~v1(constB122)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB121, constB122)) | v101(constB122) | (~v102(constB122)) | (~v1(constB122)))),
% 54.39/34.58 inference(rewrite,[status(thm)],[])).
% 54.39/34.58 tff(20929,plain,
% 54.39/34.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB121, constB122)) | v101(constB122) | (~v102(constB122)) | (~v1(constB122)))),
% 54.39/34.58 inference(quant_inst,[status(thm)],[])).
% 54.39/34.58 tff(20930,plain,
% 54.39/34.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB121, constB122)) | v101(constB122) | (~v102(constB122)) | (~v1(constB122))),
% 54.39/34.58 inference(modus_ponens,[status(thm)],[20929, 20928])).
% 54.39/34.58 tff(20931,plain,
% 54.39/34.58 (v101(constB122) | (~v102(constB122))),
% 54.39/34.58 inference(unit_resolution,[status(thm)],[20930, 1145, 20910, 420])).
% 54.39/34.58 tff(20932,plain,
% 54.39/34.58 (v101(constB122)),
% 54.39/34.58 inference(unit_resolution,[status(thm)],[20931, 20927])).
% 54.39/34.58 tff(20933,plain,
% 54.39/34.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122)))),
% 54.39/34.58 inference(rewrite,[status(thm)],[])).
% 54.39/34.58 tff(20934,plain,
% 54.39/34.58 (((~nextState(constB121, constB122)) | (~v101(constB122)) | (~v110(constB122)) | v100(constB122)) <=> ((~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122)))),
% 54.39/34.58 inference(rewrite,[status(thm)],[])).
% 54.39/34.58 tff(20935,plain,
% 54.39/34.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB121, constB122)) | (~v101(constB122)) | (~v110(constB122)) | v100(constB122))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122))))),
% 54.39/34.58 inference(monotonicity,[status(thm)],[20934])).
% 54.39/34.58 tff(20936,plain,
% 54.39/34.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB121, constB122)) | (~v101(constB122)) | (~v110(constB122)) | v100(constB122))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122)))),
% 54.39/34.58 inference(transitivity,[status(thm)],[20935, 20933])).
% 54.39/34.58 tff(20937,plain,
% 54.39/34.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB121, constB122)) | (~v101(constB122)) | (~v110(constB122)) | v100(constB122))),
% 54.39/34.58 inference(quant_inst,[status(thm)],[])).
% 54.39/34.58 tff(20938,plain,
% 54.39/34.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB121, constB122)) | v100(constB122) | (~v101(constB122)) | (~v110(constB122))),
% 54.39/34.58 inference(modus_ponens,[status(thm)],[20937, 20936])).
% 54.39/34.58 tff(20939,plain,
% 54.39/34.58 (v100(constB122) | (~v101(constB122)) | (~v110(constB122))),
% 54.39/34.58 inference(unit_resolution,[status(thm)],[20938, 1160, 20910])).
% 54.39/34.58 tff(20940,plain,
% 54.39/34.58 (v100(constB122) | (~v110(constB122))),
% 54.39/34.58 inference(unit_resolution,[status(thm)],[20939, 20932])).
% 54.39/34.58 tff(20941,plain,
% 54.39/34.58 (v100(constB122)),
% 54.39/34.58 inference(unit_resolution,[status(thm)],[20940, 20918])).
% 54.39/34.58 tff(20942,plain,
% 54.39/34.58 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB121)) | (~v90(constB121, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB121)) | (~v90(constB121, 2)))),
% 54.39/34.58 inference(rewrite,[status(thm)],[])).
% 54.39/34.58 tff(20943,plain,
% 54.39/34.58 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB121)) | (~v90(constB121, 2)))),
% 54.39/34.58 inference(quant_inst,[status(thm)],[])).
% 54.39/34.58 tff(20944,plain,
% 54.39/34.58 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB121)) | (~v90(constB121, 2))),
% 54.39/34.58 inference(modus_ponens,[status(thm)],[20943, 20942])).
% 54.39/34.58 tff(20945,plain,
% 54.39/34.58 (~v121(constB121)),
% 54.39/34.58 inference(unit_resolution,[status(thm)],[20944, 2857, 20807])).
% 54.39/34.58 tff(20946,plain,
% 54.39/34.58 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB121)) | (~v90(constB121, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB121)) | (~v90(constB121, 2)))),
% 54.39/34.58 inference(rewrite,[status(thm)],[])).
% 54.39/34.58 tff(20947,plain,
% 54.39/34.58 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB121)) | (~v90(constB121, 2)))),
% 54.39/34.58 inference(quant_inst,[status(thm)],[])).
% 54.39/34.58 tff(20948,plain,
% 54.39/34.58 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB121)) | (~v90(constB121, 2))),
% 54.39/34.58 inference(modus_ponens,[status(thm)],[20947, 20946])).
% 54.39/34.58 tff(20949,plain,
% 54.39/34.58 (~v122(constB121)),
% 54.39/34.58 inference(unit_resolution,[status(thm)],[20948, 2797, 20807])).
% 54.39/34.58 tff(20950,plain,
% 54.39/34.58 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB121)) | (~v90(constB121, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB121)) | (~v90(constB121, 1)))),
% 54.39/34.58 inference(rewrite,[status(thm)],[])).
% 54.39/34.58 tff(20951,plain,
% 54.39/34.58 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB121)) | (~v90(constB121, 1)))),
% 54.39/34.58 inference(quant_inst,[status(thm)],[])).
% 54.39/34.58 tff(20952,plain,
% 54.39/34.58 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB121)) | (~v90(constB121, 1))),
% 54.39/34.58 inference(modus_ponens,[status(thm)],[20951, 20950])).
% 54.39/34.58 tff(20953,plain,
% 54.39/34.58 (~v119(constB121)),
% 54.39/34.58 inference(unit_resolution,[status(thm)],[20952, 2868, 20838])).
% 54.39/34.58 tff(20954,plain,
% 54.39/34.58 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB121)) | (~v90(constB121, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB121)) | (~v90(constB121, 1)))),
% 54.39/34.58 inference(rewrite,[status(thm)],[])).
% 54.39/34.58 tff(20955,plain,
% 54.39/34.58 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB121)) | (~v90(constB121, 1)))),
% 54.39/34.58 inference(quant_inst,[status(thm)],[])).
% 54.39/34.58 tff(20956,plain,
% 54.39/34.58 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB121)) | (~v90(constB121, 1))),
% 54.39/34.58 inference(modus_ponens,[status(thm)],[20955, 20954])).
% 54.39/34.58 tff(20957,plain,
% 54.39/34.58 (~v120(constB121)),
% 54.39/34.58 inference(unit_resolution,[status(thm)],[20956, 2846, 20838])).
% 54.39/34.58 tff(20958,plain,
% 54.39/34.58 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB121)) | (~v90(constB121, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB121)) | (~v90(constB121, 1)))),
% 54.39/34.58 inference(rewrite,[status(thm)],[])).
% 54.39/34.58 tff(20959,plain,
% 54.39/34.58 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB121)) | (~v90(constB121, 1)))),
% 54.39/34.58 inference(quant_inst,[status(thm)],[])).
% 54.39/34.58 tff(20960,plain,
% 54.39/34.58 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB121)) | (~v90(constB121, 1))),
% 54.39/34.58 inference(modus_ponens,[status(thm)],[20959, 20958])).
% 54.39/34.58 tff(20961,plain,
% 54.39/34.58 (~v123(constB121)),
% 54.39/34.58 inference(unit_resolution,[status(thm)],[20960, 2879, 20838])).
% 54.39/34.58 tff(20962,plain,
% 54.39/34.58 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB121)) | (~v90(constB121, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB121)) | (~v90(constB121, 1)))),
% 54.39/34.58 inference(rewrite,[status(thm)],[])).
% 54.39/34.58 tff(20963,plain,
% 54.39/34.58 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB121)) | (~v90(constB121, 1)))),
% 54.39/34.58 inference(quant_inst,[status(thm)],[])).
% 54.39/34.58 tff(20964,plain,
% 54.39/34.58 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB121)) | (~v90(constB121, 1))),
% 54.39/34.58 inference(modus_ponens,[status(thm)],[20963, 20962])).
% 54.39/34.58 tff(20965,plain,
% 54.39/34.58 (~v124(constB121)),
% 54.39/34.58 inference(unit_resolution,[status(thm)],[20964, 2890, 20838])).
% 54.39/34.58 tff(20966,plain,
% 54.39/34.58 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, 2)))),
% 54.39/34.58 inference(rewrite,[status(thm)],[])).
% 54.39/34.58 tff(20967,plain,
% 54.39/34.58 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, 2)))),
% 54.39/34.58 inference(quant_inst,[status(thm)],[])).
% 54.39/34.58 tff(20968,plain,
% 54.39/34.58 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, 2))),
% 54.39/34.58 inference(modus_ponens,[status(thm)],[20967, 20966])).
% 54.39/34.58 tff(20969,plain,
% 54.39/34.58 (~v130(constB121, 2)),
% 54.39/34.58 inference(unit_resolution,[status(thm)],[20968, 2904, 20965, 20961, 20957, 20953, 20949, 20945])).
% 54.39/34.58 tff(20970,plain,
% 54.39/34.58 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB121, 2)) | v26(constB121) | v130(constB121, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB121, 2)) | v26(constB121) | v130(constB121, 2))),
% 54.39/34.58 inference(rewrite,[status(thm)],[])).
% 54.39/34.58 tff(20971,plain,
% 54.39/34.58 ((v26(constB121) | v130(constB121, 2) | (~v127(constB121, 2))) <=> ((~v127(constB121, 2)) | v26(constB121) | v130(constB121, 2))),
% 54.39/34.58 inference(rewrite,[status(thm)],[])).
% 54.39/34.58 tff(20972,plain,
% 54.39/34.58 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB121) | v130(constB121, 2) | (~v127(constB121, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB121, 2)) | v26(constB121) | v130(constB121, 2)))),
% 54.39/34.58 inference(monotonicity,[status(thm)],[20971])).
% 54.39/34.58 tff(20973,plain,
% 54.39/34.58 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB121) | v130(constB121, 2) | (~v127(constB121, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB121, 2)) | v26(constB121) | v130(constB121, 2))),
% 54.39/34.58 inference(transitivity,[status(thm)],[20972, 20970])).
% 54.39/34.58 tff(20974,plain,
% 54.39/34.58 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB121) | v130(constB121, 2) | (~v127(constB121, 2)))),
% 54.39/34.58 inference(quant_inst,[status(thm)],[])).
% 54.39/34.58 tff(20975,plain,
% 54.39/34.58 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB121, 2)) | v26(constB121) | v130(constB121, 2)),
% 54.39/34.58 inference(modus_ponens,[status(thm)],[20974, 20973])).
% 54.39/34.58 tff(20976,plain,
% 54.39/34.58 ((~v127(constB121, 2)) | v130(constB121, 2)),
% 54.39/34.58 inference(unit_resolution,[status(thm)],[20975, 1190, 20892])).
% 54.39/34.58 tff(20977,plain,
% 54.39/34.58 (~v127(constB121, 2)),
% 54.39/34.58 inference(unit_resolution,[status(thm)],[20976, 20969])).
% 54.39/34.58 tff(20978,plain,
% 54.39/34.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB121, constB122)) | v127(constB121, 2) | (~v129(constB122, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB121, constB122)) | v127(constB121, 2) | (~v129(constB122, 2)))),
% 54.39/34.58 inference(rewrite,[status(thm)],[])).
% 54.39/34.58 tff(20979,plain,
% 54.39/34.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB121, constB122)) | v127(constB121, 2) | (~v129(constB122, 2)))),
% 54.39/34.58 inference(quant_inst,[status(thm)],[])).
% 54.39/34.58 tff(20980,plain,
% 54.39/34.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB121, constB122)) | v127(constB121, 2) | (~v129(constB122, 2))),
% 54.39/34.58 inference(modus_ponens,[status(thm)],[20979, 20978])).
% 54.39/34.58 tff(20981,plain,
% 54.39/34.58 (v127(constB121, 2) | (~v129(constB122, 2))),
% 54.39/34.58 inference(unit_resolution,[status(thm)],[20980, 1208, 20910])).
% 54.39/34.58 tff(20982,plain,
% 54.39/34.58 (~v129(constB122, 2)),
% 54.39/34.58 inference(unit_resolution,[status(thm)],[20981, 20977])).
% 54.39/34.58 tff(20983,plain,
% 54.39/34.58 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB122, 2)) | v129(constB122, 2) | (~v100(constB122)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB122, 2)) | v129(constB122, 2) | (~v100(constB122)))),
% 54.39/34.58 inference(rewrite,[status(thm)],[])).
% 54.39/34.58 tff(20984,plain,
% 54.39/34.58 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB122, 2)) | v129(constB122, 2) | (~v100(constB122)))),
% 54.39/34.58 inference(quant_inst,[status(thm)],[])).
% 54.39/34.58 tff(20985,plain,
% 54.39/34.58 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB122, 2)) | v129(constB122, 2) | (~v100(constB122))),
% 54.39/34.58 inference(modus_ponens,[status(thm)],[20984, 20983])).
% 54.39/34.58 tff(20986,plain,
% 54.39/34.58 ((~v90(constB122, 2)) | (~v100(constB122))),
% 54.39/34.58 inference(unit_resolution,[status(thm)],[20985, 1223, 20982])).
% 54.39/34.58 tff(20987,plain,
% 54.39/34.58 (~v90(constB122, 2)),
% 54.39/34.58 inference(unit_resolution,[status(thm)],[20986, 20941])).
% 54.39/34.58 tff(20988,plain,
% 54.39/34.58 ((~v1(constB123)) <=> (~v1(constB123))),
% 54.39/34.58 inference(rewrite,[status(thm)],[])).
% 54.39/34.58 tff(20989,axiom,(~v1(constB123)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_123_1_1')).
% 54.39/34.58 tff(20990,plain,
% 54.39/34.58 (~v1(constB123)),
% 54.39/34.58 inference(modus_ponens,[status(thm)],[20989, 20988])).
% 54.39/34.58 tff(20991,plain,
% 54.39/34.58 (nextState(constB122, constB123) <=> nextState(constB122, constB123)),
% 54.39/34.58 inference(rewrite,[status(thm)],[])).
% 54.39/34.58 tff(20992,axiom,(nextState(constB122, constB123)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_122_1')).
% 54.39/34.58 tff(20993,plain,
% 54.39/34.58 (nextState(constB122, constB123)),
% 54.39/34.58 inference(modus_ponens,[status(thm)],[20992, 20991])).
% 54.39/34.58 tff(20994,plain,
% 54.39/34.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123)))),
% 54.39/34.58 inference(rewrite,[status(thm)],[])).
% 54.39/34.58 tff(20995,plain,
% 54.39/34.58 (((~nextState(constB122, constB123)) | (~v101(constB123)) | v1(constB123)) <=> (v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123)))),
% 54.39/34.58 inference(rewrite,[status(thm)],[])).
% 54.39/34.58 tff(20996,plain,
% 54.39/34.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB122, constB123)) | (~v101(constB123)) | v1(constB123))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123))))),
% 54.39/34.58 inference(monotonicity,[status(thm)],[20995])).
% 54.39/34.58 tff(20997,plain,
% 54.39/34.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB122, constB123)) | (~v101(constB123)) | v1(constB123))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123)))),
% 54.39/34.58 inference(transitivity,[status(thm)],[20996, 20994])).
% 54.39/34.58 tff(20998,plain,
% 54.39/34.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB122, constB123)) | (~v101(constB123)) | v1(constB123))),
% 54.39/34.58 inference(quant_inst,[status(thm)],[])).
% 54.39/34.58 tff(20999,plain,
% 54.39/34.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB123) | (~nextState(constB122, constB123)) | (~v101(constB123))),
% 54.39/34.58 inference(modus_ponens,[status(thm)],[20998, 20997])).
% 54.39/34.58 tff(21000,plain,
% 54.39/34.58 (~v101(constB123)),
% 54.39/34.58 inference(unit_resolution,[status(thm)],[20999, 873, 20993, 20990])).
% 54.39/34.58 tff(21001,plain,
% 54.39/34.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB122, constB123)) | v101(constB123) | (~v100(constB123)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB122, constB123)) | v101(constB123) | (~v100(constB123)))),
% 54.39/34.58 inference(rewrite,[status(thm)],[])).
% 54.39/34.58 tff(21002,plain,
% 54.39/34.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB122, constB123)) | v101(constB123) | (~v100(constB123)))),
% 54.39/34.58 inference(quant_inst,[status(thm)],[])).
% 54.39/34.58 tff(21003,plain,
% 54.39/34.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB122, constB123)) | v101(constB123) | (~v100(constB123))),
% 54.39/34.58 inference(modus_ponens,[status(thm)],[21002, 21001])).
% 54.39/34.58 tff(21004,plain,
% 54.39/34.58 (v101(constB123) | (~v100(constB123))),
% 54.39/34.58 inference(unit_resolution,[status(thm)],[21003, 890, 20993])).
% 54.39/34.58 tff(21005,plain,
% 54.39/34.58 (~v100(constB123)),
% 54.39/34.58 inference(unit_resolution,[status(thm)],[21004, 21000])).
% 54.39/34.58 tff(21006,plain,
% 54.39/34.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB122, 2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB122, 2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, 2)))),
% 54.39/34.58 inference(rewrite,[status(thm)],[])).
% 54.39/34.58 tff(21007,plain,
% 54.39/34.58 (((~nextState(constB122, constB123)) | v90(constB122, 2) | v100(constB123) | (~v90(constB123, 2))) <=> (v90(constB122, 2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, 2)))),
% 54.39/34.58 inference(rewrite,[status(thm)],[])).
% 54.39/34.58 tff(21008,plain,
% 54.39/34.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB122, constB123)) | v90(constB122, 2) | v100(constB123) | (~v90(constB123, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB122, 2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, 2))))),
% 54.39/34.58 inference(monotonicity,[status(thm)],[21007])).
% 54.39/34.58 tff(21009,plain,
% 54.39/34.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB122, constB123)) | v90(constB122, 2) | v100(constB123) | (~v90(constB123, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB122, 2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, 2)))),
% 54.39/34.58 inference(transitivity,[status(thm)],[21008, 21006])).
% 54.39/34.58 tff(21010,plain,
% 54.39/34.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB122, constB123)) | v90(constB122, 2) | v100(constB123) | (~v90(constB123, 2)))),
% 54.39/34.58 inference(quant_inst,[status(thm)],[])).
% 54.39/34.58 tff(21011,plain,
% 54.39/34.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB122, 2) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, 2))),
% 54.39/34.58 inference(modus_ponens,[status(thm)],[21010, 21009])).
% 54.39/34.58 tff(21012,plain,
% 54.39/34.58 (v90(constB122, 2) | v100(constB123) | (~v90(constB123, 2))),
% 54.39/34.58 inference(unit_resolution,[status(thm)],[21011, 905, 20993])).
% 54.39/34.58 tff(21013,plain,
% 54.39/34.58 (v90(constB122, 2) | (~v90(constB123, 2))),
% 54.39/34.58 inference(unit_resolution,[status(thm)],[21012, 21005])).
% 54.39/34.58 tff(21014,plain,
% 54.39/34.58 (~v90(constB123, 2)),
% 54.39/34.58 inference(unit_resolution,[status(thm)],[21013, 20987])).
% 54.39/34.58 tff(21015,plain,
% 54.39/34.58 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, 1)))),
% 54.39/34.58 inference(rewrite,[status(thm)],[])).
% 54.39/34.58 tff(21016,plain,
% 54.39/34.58 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, 1)))),
% 54.39/34.58 inference(quant_inst,[status(thm)],[])).
% 54.39/34.58 tff(21017,plain,
% 54.39/34.58 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | (~v130(constB121, 1))),
% 54.39/34.58 inference(modus_ponens,[status(thm)],[21016, 21015])).
% 54.39/34.58 tff(21018,plain,
% 54.39/34.58 (~v130(constB121, 1)),
% 54.39/34.58 inference(unit_resolution,[status(thm)],[21017, 3309, 20965, 20961, 20957, 20953, 20949, 20945])).
% 54.39/34.58 tff(21019,plain,
% 54.39/34.58 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB121, 1)) | v26(constB121) | v130(constB121, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB121, 1)) | v26(constB121) | v130(constB121, 1))),
% 54.39/34.58 inference(rewrite,[status(thm)],[])).
% 54.39/34.58 tff(21020,plain,
% 54.39/34.58 ((v26(constB121) | v130(constB121, 1) | (~v127(constB121, 1))) <=> ((~v127(constB121, 1)) | v26(constB121) | v130(constB121, 1))),
% 54.39/34.58 inference(rewrite,[status(thm)],[])).
% 54.39/34.58 tff(21021,plain,
% 54.39/34.58 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB121) | v130(constB121, 1) | (~v127(constB121, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB121, 1)) | v26(constB121) | v130(constB121, 1)))),
% 54.39/34.58 inference(monotonicity,[status(thm)],[21020])).
% 54.39/34.58 tff(21022,plain,
% 54.39/34.58 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB121) | v130(constB121, 1) | (~v127(constB121, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB121, 1)) | v26(constB121) | v130(constB121, 1))),
% 54.39/34.58 inference(transitivity,[status(thm)],[21021, 21019])).
% 54.39/34.58 tff(21023,plain,
% 54.39/34.58 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB121) | v130(constB121, 1) | (~v127(constB121, 1)))),
% 54.39/34.58 inference(quant_inst,[status(thm)],[])).
% 54.39/34.58 tff(21024,plain,
% 54.39/34.58 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB121, 1)) | v26(constB121) | v130(constB121, 1)),
% 54.39/34.58 inference(modus_ponens,[status(thm)],[21023, 21022])).
% 54.39/34.58 tff(21025,plain,
% 54.39/34.58 ((~v127(constB121, 1)) | v130(constB121, 1)),
% 54.39/34.58 inference(unit_resolution,[status(thm)],[21024, 1276, 20892])).
% 54.39/34.58 tff(21026,plain,
% 54.39/34.58 (~v127(constB121, 1)),
% 54.39/34.58 inference(unit_resolution,[status(thm)],[21025, 21018])).
% 54.39/34.58 tff(21027,plain,
% 54.39/34.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB121, constB122)) | v127(constB121, 1) | (~v129(constB122, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB121, constB122)) | v127(constB121, 1) | (~v129(constB122, 1)))),
% 54.39/34.58 inference(rewrite,[status(thm)],[])).
% 54.39/34.58 tff(21028,plain,
% 54.39/34.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB121, constB122)) | v127(constB121, 1) | (~v129(constB122, 1)))),
% 54.39/34.58 inference(quant_inst,[status(thm)],[])).
% 54.39/34.58 tff(21029,plain,
% 54.39/34.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB121, constB122)) | v127(constB121, 1) | (~v129(constB122, 1))),
% 54.39/34.58 inference(modus_ponens,[status(thm)],[21028, 21027])).
% 54.39/34.58 tff(21030,plain,
% 54.39/34.58 (v127(constB121, 1) | (~v129(constB122, 1))),
% 54.39/34.58 inference(unit_resolution,[status(thm)],[21029, 1294, 20910])).
% 54.39/34.58 tff(21031,plain,
% 54.39/34.58 (~v129(constB122, 1)),
% 54.39/34.58 inference(unit_resolution,[status(thm)],[21030, 21026])).
% 54.39/34.58 tff(21032,plain,
% 54.39/34.58 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB122, 1)) | v129(constB122, 1) | (~v100(constB122)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB122, 1)) | v129(constB122, 1) | (~v100(constB122)))),
% 54.39/34.58 inference(rewrite,[status(thm)],[])).
% 54.39/34.58 tff(21033,plain,
% 54.39/34.58 (((~v90(constB122, 1)) | (~v100(constB122)) | v129(constB122, 1)) <=> ((~v90(constB122, 1)) | v129(constB122, 1) | (~v100(constB122)))),
% 54.39/34.58 inference(rewrite,[status(thm)],[])).
% 54.39/34.58 tff(21034,plain,
% 54.39/34.58 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB122, 1)) | (~v100(constB122)) | v129(constB122, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB122, 1)) | v129(constB122, 1) | (~v100(constB122))))),
% 54.39/34.58 inference(monotonicity,[status(thm)],[21033])).
% 54.39/34.58 tff(21035,plain,
% 54.39/34.58 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB122, 1)) | (~v100(constB122)) | v129(constB122, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB122, 1)) | v129(constB122, 1) | (~v100(constB122)))),
% 54.39/34.58 inference(transitivity,[status(thm)],[21034, 21032])).
% 54.39/34.58 tff(21036,plain,
% 54.39/34.58 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB122, 1)) | (~v100(constB122)) | v129(constB122, 1))),
% 54.39/34.58 inference(quant_inst,[status(thm)],[])).
% 54.39/34.58 tff(21037,plain,
% 54.39/34.58 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB122, 1)) | v129(constB122, 1) | (~v100(constB122))),
% 54.39/34.58 inference(modus_ponens,[status(thm)],[21036, 21035])).
% 54.39/34.58 tff(21038,plain,
% 54.39/34.58 ((~v90(constB122, 1)) | (~v100(constB122))),
% 54.39/34.58 inference(unit_resolution,[status(thm)],[21037, 1309, 21031])).
% 54.39/34.58 tff(21039,plain,
% 54.39/34.58 (~v90(constB122, 1)),
% 54.39/34.58 inference(unit_resolution,[status(thm)],[21038, 20941])).
% 54.39/34.58 tff(21040,plain,
% 54.39/34.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB122, 1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB122, 1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, 1)))),
% 54.39/34.58 inference(rewrite,[status(thm)],[])).
% 54.39/34.58 tff(21041,plain,
% 54.39/34.58 (((~nextState(constB122, constB123)) | v90(constB122, 1) | v100(constB123) | (~v90(constB123, 1))) <=> (v90(constB122, 1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, 1)))),
% 54.39/34.58 inference(rewrite,[status(thm)],[])).
% 54.39/34.58 tff(21042,plain,
% 54.39/34.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB122, constB123)) | v90(constB122, 1) | v100(constB123) | (~v90(constB123, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB122, 1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, 1))))),
% 54.39/34.58 inference(monotonicity,[status(thm)],[21041])).
% 54.39/34.58 tff(21043,plain,
% 54.39/34.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB122, constB123)) | v90(constB122, 1) | v100(constB123) | (~v90(constB123, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB122, 1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, 1)))),
% 54.39/34.58 inference(transitivity,[status(thm)],[21042, 21040])).
% 54.39/34.58 tff(21044,plain,
% 54.39/34.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB122, constB123)) | v90(constB122, 1) | v100(constB123) | (~v90(constB123, 1)))),
% 54.39/34.58 inference(quant_inst,[status(thm)],[])).
% 54.39/34.58 tff(21045,plain,
% 54.39/34.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB122, 1) | (~nextState(constB122, constB123)) | v100(constB123) | (~v90(constB123, 1))),
% 54.39/34.58 inference(modus_ponens,[status(thm)],[21044, 21043])).
% 54.39/34.58 tff(21046,plain,
% 54.39/34.58 (v90(constB122, 1) | v100(constB123) | (~v90(constB123, 1))),
% 54.39/34.58 inference(unit_resolution,[status(thm)],[21045, 926, 20993])).
% 54.39/34.58 tff(21047,plain,
% 54.39/34.58 (v90(constB122, 1) | (~v90(constB123, 1))),
% 54.39/34.58 inference(unit_resolution,[status(thm)],[21046, 21005])).
% 54.39/34.58 tff(21048,plain,
% 54.39/34.58 (~v90(constB123, 1)),
% 54.39/34.58 inference(unit_resolution,[status(thm)],[21047, 21039])).
% 54.39/34.58 tff(21049,plain,
% 54.39/34.58 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | v130(constB121, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | v130(constB121, 0))),
% 54.39/34.58 inference(rewrite,[status(thm)],[])).
% 54.39/34.58 tff(21050,plain,
% 54.39/34.58 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | v130(constB121, 0))),
% 54.39/34.58 inference(quant_inst,[status(thm)],[])).
% 54.39/34.58 tff(21051,plain,
% 54.39/34.58 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB121) | v120(constB121) | v121(constB121) | v122(constB121) | v123(constB121) | v124(constB121) | v130(constB121, 0)),
% 54.39/34.58 inference(modus_ponens,[status(thm)],[21050, 21049])).
% 54.39/34.58 tff(21052,plain,
% 54.39/34.58 (v130(constB121, 0)),
% 54.39/34.58 inference(unit_resolution,[status(thm)],[21051, 3413, 20965, 20961, 20957, 20953, 20949, 20945])).
% 54.39/34.58 tff(21053,plain,
% 54.39/34.58 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB121) | (~v130(constB121, 0)) | v127(constB121, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB121) | (~v130(constB121, 0)) | v127(constB121, 0))),
% 54.39/34.58 inference(rewrite,[status(thm)],[])).
% 54.39/34.58 tff(21054,plain,
% 54.39/34.58 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB121) | (~v130(constB121, 0)) | v127(constB121, 0))),
% 54.39/34.58 inference(quant_inst,[status(thm)],[])).
% 54.39/34.58 tff(21055,plain,
% 54.39/34.58 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB121) | (~v130(constB121, 0)) | v127(constB121, 0)),
% 54.39/34.58 inference(modus_ponens,[status(thm)],[21054, 21053])).
% 54.39/34.58 tff(21056,plain,
% 54.39/34.58 ((~v130(constB121, 0)) | v127(constB121, 0)),
% 54.39/34.58 inference(unit_resolution,[status(thm)],[21055, 1347, 20892])).
% 54.39/34.58 tff(21057,plain,
% 54.39/34.58 (v127(constB121, 0)),
% 54.39/34.58 inference(unit_resolution,[status(thm)],[21056, 21052])).
% 54.39/34.58 tff(21058,plain,
% 54.39/34.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB121, constB122)) | (~v127(constB121, 0)) | v129(constB122, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB121, constB122)) | (~v127(constB121, 0)) | v129(constB122, 0))),
% 54.39/34.58 inference(rewrite,[status(thm)],[])).
% 54.39/34.58 tff(21059,plain,
% 54.39/34.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB121, constB122)) | (~v127(constB121, 0)) | v129(constB122, 0))),
% 54.39/34.58 inference(quant_inst,[status(thm)],[])).
% 54.39/34.58 tff(21060,plain,
% 54.39/34.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB121, constB122)) | (~v127(constB121, 0)) | v129(constB122, 0)),
% 54.39/34.59 inference(modus_ponens,[status(thm)],[21059, 21058])).
% 54.39/34.59 tff(21061,plain,
% 54.39/34.59 ((~v127(constB121, 0)) | v129(constB122, 0)),
% 54.39/34.59 inference(unit_resolution,[status(thm)],[21060, 1362, 20910])).
% 54.39/34.59 tff(21062,plain,
% 54.39/34.59 (v129(constB122, 0)),
% 54.39/34.59 inference(unit_resolution,[status(thm)],[21061, 21057])).
% 54.39/34.59 tff(21063,plain,
% 54.39/34.59 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB122, 0) | (~v129(constB122, 0)) | (~v100(constB122)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB122, 0) | (~v129(constB122, 0)) | (~v100(constB122)))),
% 54.39/34.59 inference(rewrite,[status(thm)],[])).
% 54.39/34.59 tff(21064,plain,
% 54.39/34.59 ((v90(constB122, 0) | (~v100(constB122)) | (~v129(constB122, 0))) <=> (v90(constB122, 0) | (~v129(constB122, 0)) | (~v100(constB122)))),
% 54.39/34.59 inference(rewrite,[status(thm)],[])).
% 54.39/34.59 tff(21065,plain,
% 54.39/34.59 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB122, 0) | (~v100(constB122)) | (~v129(constB122, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB122, 0) | (~v129(constB122, 0)) | (~v100(constB122))))),
% 54.39/34.59 inference(monotonicity,[status(thm)],[21064])).
% 54.39/34.59 tff(21066,plain,
% 54.39/34.59 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB122, 0) | (~v100(constB122)) | (~v129(constB122, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB122, 0) | (~v129(constB122, 0)) | (~v100(constB122)))),
% 54.39/34.59 inference(transitivity,[status(thm)],[21065, 21063])).
% 54.39/34.59 tff(21067,plain,
% 54.39/34.59 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB122, 0) | (~v100(constB122)) | (~v129(constB122, 0)))),
% 54.39/34.59 inference(quant_inst,[status(thm)],[])).
% 54.39/34.59 tff(21068,plain,
% 54.39/34.59 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB122, 0) | (~v129(constB122, 0)) | (~v100(constB122))),
% 54.39/34.59 inference(modus_ponens,[status(thm)],[21067, 21066])).
% 54.39/34.59 tff(21069,plain,
% 54.39/34.59 (v90(constB122, 0) | (~v100(constB122))),
% 54.39/34.59 inference(unit_resolution,[status(thm)],[21068, 1377, 21062])).
% 54.39/34.59 tff(21070,plain,
% 54.39/34.59 (v90(constB122, 0)),
% 54.39/34.59 inference(unit_resolution,[status(thm)],[21069, 20941])).
% 54.39/34.59 tff(21071,plain,
% 54.39/34.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB122, 0)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB122, 0)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, 0))),
% 54.39/34.59 inference(rewrite,[status(thm)],[])).
% 54.39/34.59 tff(21072,plain,
% 54.39/34.59 (((~nextState(constB122, constB123)) | (~v90(constB122, 0)) | v100(constB123) | v90(constB123, 0)) <=> ((~v90(constB122, 0)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, 0))),
% 54.39/34.59 inference(rewrite,[status(thm)],[])).
% 54.39/34.59 tff(21073,plain,
% 54.39/34.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB122, constB123)) | (~v90(constB122, 0)) | v100(constB123) | v90(constB123, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB122, 0)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, 0)))),
% 54.39/34.59 inference(monotonicity,[status(thm)],[21072])).
% 54.39/34.59 tff(21074,plain,
% 54.39/34.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB122, constB123)) | (~v90(constB122, 0)) | v100(constB123) | v90(constB123, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB122, 0)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, 0))),
% 54.39/34.59 inference(transitivity,[status(thm)],[21073, 21071])).
% 54.39/34.59 tff(21075,plain,
% 54.39/34.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB122, constB123)) | (~v90(constB122, 0)) | v100(constB123) | v90(constB123, 0))),
% 54.39/34.59 inference(quant_inst,[status(thm)],[])).
% 54.39/34.59 tff(21076,plain,
% 54.39/34.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB122, 0)) | (~nextState(constB122, constB123)) | v100(constB123) | v90(constB123, 0)),
% 54.39/34.59 inference(modus_ponens,[status(thm)],[21075, 21074])).
% 54.39/34.59 tff(21077,plain,
% 54.39/34.59 ((~v90(constB122, 0)) | v100(constB123) | v90(constB123, 0)),
% 54.39/34.59 inference(unit_resolution,[status(thm)],[21076, 1395, 20993])).
% 54.39/34.59 tff(21078,plain,
% 54.39/34.59 ((~v90(constB122, 0)) | v90(constB123, 0)),
% 54.39/34.59 inference(unit_resolution,[status(thm)],[21077, 21005])).
% 54.39/34.59 tff(21079,plain,
% 54.39/34.59 (v90(constB123, 0)),
% 54.39/34.59 inference(unit_resolution,[status(thm)],[21078, 21070])).
% 54.39/34.59 tff(21080,plain,
% 54.39/34.59 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB123, 0)) | v90(constB123, 1) | v90(constB123, 2) | v120(constB123))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB123, 0)) | v90(constB123, 1) | v90(constB123, 2) | v120(constB123))),
% 54.39/34.59 inference(rewrite,[status(thm)],[])).
% 54.39/34.59 tff(21081,plain,
% 54.39/34.59 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB123, 0)) | v90(constB123, 1) | v90(constB123, 2) | v120(constB123))),
% 54.39/34.59 inference(quant_inst,[status(thm)],[])).
% 54.39/34.59 tff(21082,plain,
% 54.39/34.59 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB123, 0)) | v90(constB123, 1) | v90(constB123, 2) | v120(constB123)),
% 54.39/34.59 inference(modus_ponens,[status(thm)],[21081, 21080])).
% 54.39/34.59 tff(21083,plain,
% 54.39/34.59 (v120(constB123)),
% 54.39/34.59 inference(unit_resolution,[status(thm)],[21082, 1414, 21079, 21048, 21014])).
% 54.39/34.59 tff(21084,plain,
% 54.39/34.59 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB123)) | (~v130(constB123, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB123)) | (~v130(constB123, 0)))),
% 54.39/34.59 inference(rewrite,[status(thm)],[])).
% 54.39/34.59 tff(21085,plain,
% 54.39/34.59 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB123)) | (~v130(constB123, 0)))),
% 54.39/34.59 inference(quant_inst,[status(thm)],[])).
% 54.39/34.59 tff(21086,plain,
% 54.39/34.59 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB123)) | (~v130(constB123, 0))),
% 54.39/34.59 inference(modus_ponens,[status(thm)],[21085, 21084])).
% 54.39/34.59 tff(21087,plain,
% 54.39/34.59 (~v130(constB123, 0)),
% 54.39/34.59 inference(unit_resolution,[status(thm)],[21086, 1657, 21083])).
% 54.39/34.59 tff(21088,assumption,(v26(constB123)), introduced(assumption)).
% 54.39/34.59 tff(21089,plain,
% 54.39/34.59 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB123))),
% 54.39/34.59 inference(quant_inst,[status(thm)],[])).
% 54.39/34.59 tff(21090,plain,
% 54.39/34.59 ($false),
% 54.39/34.59 inference(unit_resolution,[status(thm)],[21089, 828, 21088])).
% 54.39/34.59 tff(21091,plain,(~v26(constB123)), inference(lemma,lemma(discharge,[]))).
% 54.39/34.59 tff(21092,plain,
% 54.39/34.59 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB123, 0)) | v26(constB123) | v130(constB123, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB123, 0)) | v26(constB123) | v130(constB123, 0))),
% 54.39/34.59 inference(rewrite,[status(thm)],[])).
% 54.39/34.59 tff(21093,plain,
% 54.39/34.59 ((v26(constB123) | v130(constB123, 0) | (~v127(constB123, 0))) <=> ((~v127(constB123, 0)) | v26(constB123) | v130(constB123, 0))),
% 54.39/34.59 inference(rewrite,[status(thm)],[])).
% 54.39/34.59 tff(21094,plain,
% 54.39/34.59 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB123) | v130(constB123, 0) | (~v127(constB123, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB123, 0)) | v26(constB123) | v130(constB123, 0)))),
% 54.39/34.59 inference(monotonicity,[status(thm)],[21093])).
% 54.39/34.59 tff(21095,plain,
% 54.39/34.59 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB123) | v130(constB123, 0) | (~v127(constB123, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB123, 0)) | v26(constB123) | v130(constB123, 0))),
% 54.39/34.59 inference(transitivity,[status(thm)],[21094, 21092])).
% 54.39/34.59 tff(21096,plain,
% 54.39/34.59 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB123) | v130(constB123, 0) | (~v127(constB123, 0)))),
% 54.39/34.59 inference(quant_inst,[status(thm)],[])).
% 54.39/34.59 tff(21097,plain,
% 54.39/34.59 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB123, 0)) | v26(constB123) | v130(constB123, 0)),
% 54.39/34.59 inference(modus_ponens,[status(thm)],[21096, 21095])).
% 54.39/34.59 tff(21098,plain,
% 54.39/34.59 ((~v127(constB123, 0)) | v130(constB123, 0)),
% 54.39/34.59 inference(unit_resolution,[status(thm)],[21097, 1671, 21091])).
% 54.39/34.59 tff(21099,plain,
% 54.39/34.59 (~v127(constB123, 0)),
% 54.39/34.59 inference(unit_resolution,[status(thm)],[21098, 21087])).
% 54.39/34.59 tff(21100,plain,
% 54.39/34.59 (nextState(constB123, constB124) <=> nextState(constB123, constB124)),
% 54.39/34.59 inference(rewrite,[status(thm)],[])).
% 54.39/34.59 tff(21101,axiom,(nextState(constB123, constB124)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_123_1')).
% 54.39/34.59 tff(21102,plain,
% 54.39/34.59 (nextState(constB123, constB124)),
% 54.39/34.59 inference(modus_ponens,[status(thm)],[21101, 21100])).
% 54.39/34.59 tff(21103,plain,
% 54.39/34.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB123, constB124)) | v127(constB123, 0) | (~v129(constB124, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB123, constB124)) | v127(constB123, 0) | (~v129(constB124, 0)))),
% 54.39/34.59 inference(rewrite,[status(thm)],[])).
% 54.39/34.59 tff(21104,plain,
% 54.39/34.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB123, constB124)) | v127(constB123, 0) | (~v129(constB124, 0)))),
% 54.39/34.59 inference(quant_inst,[status(thm)],[])).
% 54.39/34.59 tff(21105,plain,
% 54.39/34.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB123, constB124)) | v127(constB123, 0) | (~v129(constB124, 0))),
% 54.39/34.59 inference(modus_ponens,[status(thm)],[21104, 21103])).
% 54.39/34.59 tff(21106,plain,
% 54.39/34.59 (v127(constB123, 0) | (~v129(constB124, 0))),
% 54.39/34.59 inference(unit_resolution,[status(thm)],[21105, 1689, 21102])).
% 54.39/34.59 tff(21107,plain,
% 54.39/34.59 (~v129(constB124, 0)),
% 54.39/34.59 inference(unit_resolution,[status(thm)],[21106, 21099])).
% 54.39/34.59 tff(21108,assumption,(~v108(constB123)), introduced(assumption)).
% 54.39/34.59 tff(21109,plain,
% 54.39/34.59 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB123) | (~v112(constB123)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB123) | (~v112(constB123)))),
% 54.39/34.59 inference(rewrite,[status(thm)],[])).
% 54.39/34.59 tff(21110,plain,
% 54.39/34.59 (((~v112(constB123)) | v108(constB123)) <=> (v108(constB123) | (~v112(constB123)))),
% 54.39/34.59 inference(rewrite,[status(thm)],[])).
% 54.39/34.59 tff(21111,plain,
% 54.39/34.59 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB123)) | v108(constB123))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB123) | (~v112(constB123))))),
% 54.39/34.59 inference(monotonicity,[status(thm)],[21110])).
% 54.39/34.59 tff(21112,plain,
% 54.39/34.59 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB123)) | v108(constB123))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB123) | (~v112(constB123)))),
% 54.39/34.59 inference(transitivity,[status(thm)],[21111, 21109])).
% 54.39/34.59 tff(21113,plain,
% 54.39/34.59 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB123)) | v108(constB123))),
% 54.39/34.59 inference(quant_inst,[status(thm)],[])).
% 54.39/34.59 tff(21114,plain,
% 54.39/34.59 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB123) | (~v112(constB123))),
% 54.39/34.59 inference(modus_ponens,[status(thm)],[21113, 21112])).
% 54.39/34.59 tff(21115,plain,
% 54.39/34.59 (~v112(constB123)),
% 54.39/34.59 inference(unit_resolution,[status(thm)],[21114, 1075, 21108])).
% 54.39/34.59 tff(21116,plain,
% 54.39/34.59 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB123) | (~v26(constB123)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB123) | (~v26(constB123)))),
% 54.39/34.59 inference(rewrite,[status(thm)],[])).
% 54.39/34.59 tff(21117,plain,
% 54.39/34.59 (((~v26(constB123)) | v108(constB123)) <=> (v108(constB123) | (~v26(constB123)))),
% 54.39/34.59 inference(rewrite,[status(thm)],[])).
% 54.39/34.59 tff(21118,plain,
% 54.39/34.59 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB123)) | v108(constB123))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB123) | (~v26(constB123))))),
% 54.39/34.59 inference(monotonicity,[status(thm)],[21117])).
% 54.39/34.59 tff(21119,plain,
% 54.39/34.59 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB123)) | v108(constB123))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB123) | (~v26(constB123)))),
% 54.39/34.59 inference(transitivity,[status(thm)],[21118, 21116])).
% 54.39/34.59 tff(21120,plain,
% 54.39/34.59 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB123)) | v108(constB123))),
% 54.39/34.59 inference(quant_inst,[status(thm)],[])).
% 54.39/34.59 tff(21121,plain,
% 54.39/34.59 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB123) | (~v26(constB123))),
% 54.39/34.59 inference(modus_ponens,[status(thm)],[21120, 21119])).
% 54.39/34.59 tff(21122,plain,
% 54.39/34.59 (~v26(constB123)),
% 54.39/34.59 inference(unit_resolution,[status(thm)],[21121, 2050, 21108])).
% 54.39/34.59 tff(21123,plain,
% 54.39/34.59 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB123) | v112(constB123) | (~v113(constB123)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB123) | v112(constB123) | (~v113(constB123)))),
% 54.39/34.59 inference(rewrite,[status(thm)],[])).
% 54.39/34.59 tff(21124,plain,
% 54.39/34.59 ((v26(constB123) | (~v113(constB123)) | v112(constB123)) <=> (v26(constB123) | v112(constB123) | (~v113(constB123)))),
% 54.39/34.59 inference(rewrite,[status(thm)],[])).
% 54.39/34.59 tff(21125,plain,
% 54.39/34.59 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB123) | (~v113(constB123)) | v112(constB123))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB123) | v112(constB123) | (~v113(constB123))))),
% 54.39/34.59 inference(monotonicity,[status(thm)],[21124])).
% 54.39/34.59 tff(21126,plain,
% 54.39/34.59 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB123) | (~v113(constB123)) | v112(constB123))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB123) | v112(constB123) | (~v113(constB123)))),
% 54.39/34.59 inference(transitivity,[status(thm)],[21125, 21123])).
% 54.39/34.59 tff(21127,plain,
% 54.39/34.59 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB123) | (~v113(constB123)) | v112(constB123))),
% 54.39/34.59 inference(quant_inst,[status(thm)],[])).
% 54.39/34.59 tff(21128,plain,
% 54.39/34.59 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB123) | v112(constB123) | (~v113(constB123))),
% 54.39/34.59 inference(modus_ponens,[status(thm)],[21127, 21126])).
% 54.39/34.59 tff(21129,plain,
% 54.39/34.59 (~v113(constB123)),
% 54.39/34.59 inference(unit_resolution,[status(thm)],[21128, 1063, 21122, 21115])).
% 54.39/34.59 tff(21130,plain,
% 54.39/34.59 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB123) | (~v114(constB123)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB123) | (~v114(constB123)))),
% 54.39/34.59 inference(rewrite,[status(thm)],[])).
% 54.39/34.59 tff(21131,plain,
% 54.39/34.59 (((~v114(constB123)) | v113(constB123)) <=> (v113(constB123) | (~v114(constB123)))),
% 54.39/34.59 inference(rewrite,[status(thm)],[])).
% 54.39/34.59 tff(21132,plain,
% 54.39/34.59 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB123)) | v113(constB123))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB123) | (~v114(constB123))))),
% 54.39/34.59 inference(monotonicity,[status(thm)],[21131])).
% 54.39/34.59 tff(21133,plain,
% 54.39/34.59 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB123)) | v113(constB123))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB123) | (~v114(constB123)))),
% 54.39/34.59 inference(transitivity,[status(thm)],[21132, 21130])).
% 54.39/34.59 tff(21134,plain,
% 54.39/34.59 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB123)) | v113(constB123))),
% 54.39/34.59 inference(quant_inst,[status(thm)],[])).
% 54.39/34.59 tff(21135,plain,
% 54.39/34.59 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB123) | (~v114(constB123))),
% 54.39/34.59 inference(modus_ponens,[status(thm)],[21134, 21133])).
% 54.39/34.59 tff(21136,plain,
% 54.39/34.59 (~v114(constB123)),
% 54.39/34.59 inference(unit_resolution,[status(thm)],[21135, 1049, 21129])).
% 54.39/34.59 tff(21137,plain,
% 54.39/34.59 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB123) | (~v115(constB123)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB123) | (~v115(constB123)))),
% 54.39/34.59 inference(rewrite,[status(thm)],[])).
% 54.39/34.59 tff(21138,plain,
% 54.39/34.59 (((~v115(constB123)) | v114(constB123)) <=> (v114(constB123) | (~v115(constB123)))),
% 54.39/34.59 inference(rewrite,[status(thm)],[])).
% 54.39/34.59 tff(21139,plain,
% 54.39/34.59 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB123)) | v114(constB123))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB123) | (~v115(constB123))))),
% 54.39/34.59 inference(monotonicity,[status(thm)],[21138])).
% 54.39/34.59 tff(21140,plain,
% 54.39/34.59 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB123)) | v114(constB123))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB123) | (~v115(constB123)))),
% 54.39/34.59 inference(transitivity,[status(thm)],[21139, 21137])).
% 54.39/34.59 tff(21141,plain,
% 54.39/34.59 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB123)) | v114(constB123))),
% 54.39/34.59 inference(quant_inst,[status(thm)],[])).
% 54.39/34.59 tff(21142,plain,
% 54.39/34.59 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB123) | (~v115(constB123))),
% 54.39/34.59 inference(modus_ponens,[status(thm)],[21141, 21140])).
% 54.39/34.59 tff(21143,plain,
% 54.39/34.59 (~v115(constB123)),
% 54.39/34.59 inference(unit_resolution,[status(thm)],[21142, 1035, 21136])).
% 54.39/34.59 tff(21144,plain,
% 54.39/34.59 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB123) | (~v116(constB123)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB123) | (~v116(constB123)))),
% 54.39/34.59 inference(rewrite,[status(thm)],[])).
% 54.39/34.59 tff(21145,plain,
% 54.39/34.59 (((~v116(constB123)) | v115(constB123)) <=> (v115(constB123) | (~v116(constB123)))),
% 54.39/34.59 inference(rewrite,[status(thm)],[])).
% 54.39/34.59 tff(21146,plain,
% 54.39/34.59 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB123)) | v115(constB123))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB123) | (~v116(constB123))))),
% 54.39/34.59 inference(monotonicity,[status(thm)],[21145])).
% 54.39/34.59 tff(21147,plain,
% 54.39/34.59 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB123)) | v115(constB123))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB123) | (~v116(constB123)))),
% 54.39/34.59 inference(transitivity,[status(thm)],[21146, 21144])).
% 54.39/34.59 tff(21148,plain,
% 54.39/34.59 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB123)) | v115(constB123))),
% 54.39/34.59 inference(quant_inst,[status(thm)],[])).
% 54.39/34.59 tff(21149,plain,
% 54.39/34.59 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB123) | (~v116(constB123))),
% 54.39/34.59 inference(modus_ponens,[status(thm)],[21148, 21147])).
% 54.39/34.59 tff(21150,plain,
% 54.39/34.59 (~v116(constB123)),
% 54.39/34.59 inference(unit_resolution,[status(thm)],[21149, 1021, 21143])).
% 54.39/34.59 tff(21151,plain,
% 54.39/34.59 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB123) | (~v117(constB123)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB123) | (~v117(constB123)))),
% 54.39/34.59 inference(rewrite,[status(thm)],[])).
% 54.39/34.59 tff(21152,plain,
% 54.39/34.59 (((~v117(constB123)) | v116(constB123)) <=> (v116(constB123) | (~v117(constB123)))),
% 54.39/34.59 inference(rewrite,[status(thm)],[])).
% 54.39/34.59 tff(21153,plain,
% 54.39/34.59 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB123)) | v116(constB123))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB123) | (~v117(constB123))))),
% 54.39/34.59 inference(monotonicity,[status(thm)],[21152])).
% 54.39/34.59 tff(21154,plain,
% 54.39/34.59 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB123)) | v116(constB123))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB123) | (~v117(constB123)))),
% 54.39/34.59 inference(transitivity,[status(thm)],[21153, 21151])).
% 54.39/34.59 tff(21155,plain,
% 54.39/34.59 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB123)) | v116(constB123))),
% 54.39/34.59 inference(quant_inst,[status(thm)],[])).
% 54.39/34.59 tff(21156,plain,
% 54.39/34.59 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB123) | (~v117(constB123))),
% 54.39/34.59 inference(modus_ponens,[status(thm)],[21155, 21154])).
% 54.39/34.59 tff(21157,plain,
% 54.39/34.59 (~v117(constB123)),
% 54.39/34.59 inference(unit_resolution,[status(thm)],[21156, 1007, 21150])).
% 54.39/34.59 tff(21158,plain,
% 54.39/34.59 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB123) | (~v118(constB123)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB123) | (~v118(constB123)))),
% 54.39/34.59 inference(rewrite,[status(thm)],[])).
% 54.39/34.59 tff(21159,plain,
% 54.39/34.59 (((~v118(constB123)) | v117(constB123)) <=> (v117(constB123) | (~v118(constB123)))),
% 54.39/34.59 inference(rewrite,[status(thm)],[])).
% 54.39/34.59 tff(21160,plain,
% 54.39/34.59 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB123)) | v117(constB123))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB123) | (~v118(constB123))))),
% 54.39/34.59 inference(monotonicity,[status(thm)],[21159])).
% 54.39/34.59 tff(21161,plain,
% 54.39/34.59 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB123)) | v117(constB123))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB123) | (~v118(constB123)))),
% 54.39/34.59 inference(transitivity,[status(thm)],[21160, 21158])).
% 54.39/34.59 tff(21162,plain,
% 54.39/34.59 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB123)) | v117(constB123))),
% 54.39/34.59 inference(quant_inst,[status(thm)],[])).
% 54.39/34.59 tff(21163,plain,
% 54.39/34.59 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB123) | (~v118(constB123))),
% 54.39/34.59 inference(modus_ponens,[status(thm)],[21162, 21161])).
% 54.39/34.59 tff(21164,plain,
% 54.39/34.59 (~v118(constB123)),
% 54.39/34.59 inference(unit_resolution,[status(thm)],[21163, 993, 21157])).
% 54.39/34.59 tff(21165,plain,
% 54.39/34.59 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB123) | (~v124(constB123)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB123) | (~v124(constB123)))),
% 54.39/34.59 inference(rewrite,[status(thm)],[])).
% 54.39/34.59 tff(21166,plain,
% 54.39/34.59 (((~v124(constB123)) | v114(constB123)) <=> (v114(constB123) | (~v124(constB123)))),
% 54.39/34.59 inference(rewrite,[status(thm)],[])).
% 54.39/34.59 tff(21167,plain,
% 54.39/34.59 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB123)) | v114(constB123))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB123) | (~v124(constB123))))),
% 54.39/34.59 inference(monotonicity,[status(thm)],[21166])).
% 54.39/34.59 tff(21168,plain,
% 54.39/34.59 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB123)) | v114(constB123))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB123) | (~v124(constB123)))),
% 54.39/34.59 inference(transitivity,[status(thm)],[21167, 21165])).
% 54.39/34.59 tff(21169,plain,
% 54.39/34.59 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB123)) | v114(constB123))),
% 54.39/34.59 inference(quant_inst,[status(thm)],[])).
% 54.39/34.59 tff(21170,plain,
% 54.39/34.59 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB123) | (~v124(constB123))),
% 54.39/34.59 inference(modus_ponens,[status(thm)],[21169, 21168])).
% 54.39/34.59 tff(21171,plain,
% 54.39/34.59 (~v124(constB123)),
% 54.39/34.59 inference(unit_resolution,[status(thm)],[21170, 2674, 21136])).
% 54.39/34.59 tff(21172,assumption,(~v127(constB123, 0)), introduced(assumption)).
% 54.39/34.59 tff(21173,plain,
% 54.39/34.59 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB123) | (~v130(constB123, 0)) | v127(constB123, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB123) | (~v130(constB123, 0)) | v127(constB123, 0))),
% 54.39/34.59 inference(rewrite,[status(thm)],[])).
% 54.39/34.59 tff(21174,plain,
% 54.39/34.59 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB123) | (~v130(constB123, 0)) | v127(constB123, 0))),
% 54.39/34.59 inference(quant_inst,[status(thm)],[])).
% 54.39/34.59 tff(21175,plain,
% 54.39/34.59 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB123) | (~v130(constB123, 0)) | v127(constB123, 0)),
% 54.39/34.59 inference(modus_ponens,[status(thm)],[21174, 21173])).
% 54.39/34.59 tff(21176,plain,
% 54.39/34.59 (v26(constB123) | (~v130(constB123, 0))),
% 54.39/34.59 inference(unit_resolution,[status(thm)],[21175, 1347, 21172])).
% 54.39/34.59 tff(21177,plain,
% 54.39/34.59 (~v130(constB123, 0)),
% 54.39/34.59 inference(unit_resolution,[status(thm)],[21176, 21122])).
% 54.39/34.59 tff(21178,plain,
% 54.39/34.59 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB123)) | v130(constB123, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB123)) | v130(constB123, 0))),
% 54.39/34.59 inference(rewrite,[status(thm)],[])).
% 54.39/34.59 tff(21179,plain,
% 54.39/34.59 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB123)) | v130(constB123, 0))),
% 54.39/34.59 inference(quant_inst,[status(thm)],[])).
% 54.39/34.59 tff(21180,plain,
% 54.39/34.59 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB123)) | v130(constB123, 0)),
% 54.39/34.59 inference(modus_ponens,[status(thm)],[21179, 21178])).
% 54.39/34.59 tff(21181,plain,
% 54.39/34.59 (~v123(constB123)),
% 54.39/34.59 inference(unit_resolution,[status(thm)],[21180, 2622, 21177])).
% 54.39/34.59 tff(21182,plain,
% 54.39/34.59 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB123)) | v130(constB123, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB123)) | v130(constB123, 0))),
% 54.39/34.59 inference(rewrite,[status(thm)],[])).
% 54.39/34.59 tff(21183,plain,
% 54.39/34.59 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB123)) | v130(constB123, 0))),
% 54.39/34.59 inference(quant_inst,[status(thm)],[])).
% 54.39/34.59 tff(21184,plain,
% 54.39/34.59 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB123)) | v130(constB123, 0)),
% 54.39/34.59 inference(modus_ponens,[status(thm)],[21183, 21182])).
% 54.39/34.59 tff(21185,plain,
% 54.39/34.59 (~v119(constB123)),
% 54.39/34.59 inference(unit_resolution,[status(thm)],[21184, 1333, 21177])).
% 54.39/34.59 tff(21186,plain,
% 54.39/34.59 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB123)) | v130(constB123, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB123)) | v130(constB123, 0))),
% 54.39/34.59 inference(rewrite,[status(thm)],[])).
% 54.39/34.59 tff(21187,plain,
% 54.39/34.59 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB123)) | v130(constB123, 0))),
% 54.39/34.59 inference(quant_inst,[status(thm)],[])).
% 54.39/34.59 tff(21188,plain,
% 54.39/34.59 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB123)) | v130(constB123, 0)),
% 54.39/34.59 inference(modus_ponens,[status(thm)],[21187, 21186])).
% 54.39/34.59 tff(21189,plain,
% 54.39/34.59 (~v121(constB123)),
% 54.39/34.59 inference(unit_resolution,[status(thm)],[21188, 1915, 21177])).
% 54.39/34.59 tff(21190,plain,
% 54.39/34.59 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB123) | (~v122(constB123)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB123) | (~v122(constB123)))),
% 54.39/34.59 inference(rewrite,[status(thm)],[])).
% 54.39/34.59 tff(21191,plain,
% 54.39/34.59 (((~v122(constB123)) | v116(constB123)) <=> (v116(constB123) | (~v122(constB123)))),
% 54.39/34.59 inference(rewrite,[status(thm)],[])).
% 54.39/34.59 tff(21192,plain,
% 54.39/34.59 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB123)) | v116(constB123))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB123) | (~v122(constB123))))),
% 54.39/34.59 inference(monotonicity,[status(thm)],[21191])).
% 54.39/34.59 tff(21193,plain,
% 54.39/34.59 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB123)) | v116(constB123))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB123) | (~v122(constB123)))),
% 54.39/34.59 inference(transitivity,[status(thm)],[21192, 21190])).
% 54.39/34.59 tff(21194,plain,
% 54.39/34.59 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB123)) | v116(constB123))),
% 54.39/34.59 inference(quant_inst,[status(thm)],[])).
% 54.39/34.59 tff(21195,plain,
% 54.39/34.59 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB123) | (~v122(constB123))),
% 54.39/34.59 inference(modus_ponens,[status(thm)],[21194, 21193])).
% 54.39/34.59 tff(21196,plain,
% 54.39/34.59 (~v122(constB123)),
% 54.39/34.59 inference(unit_resolution,[status(thm)],[21195, 2120, 21150])).
% 54.39/34.59 tff(21197,plain,
% 54.39/34.59 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB123) | v120(constB123) | v121(constB123) | v122(constB123) | v123(constB123) | v124(constB123) | v130(constB123, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB123) | v120(constB123) | v121(constB123) | v122(constB123) | v123(constB123) | v124(constB123) | v130(constB123, 0))),
% 54.39/34.59 inference(rewrite,[status(thm)],[])).
% 54.39/34.59 tff(21198,plain,
% 54.39/34.59 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB123) | v120(constB123) | v121(constB123) | v122(constB123) | v123(constB123) | v124(constB123) | v130(constB123, 0))),
% 54.39/34.59 inference(quant_inst,[status(thm)],[])).
% 54.39/34.59 tff(21199,plain,
% 54.39/34.59 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB123) | v120(constB123) | v121(constB123) | v122(constB123) | v123(constB123) | v124(constB123) | v130(constB123, 0)),
% 54.39/34.59 inference(modus_ponens,[status(thm)],[21198, 21197])).
% 54.39/34.59 tff(21200,plain,
% 54.39/34.59 (v119(constB123) | v120(constB123) | v121(constB123) | v122(constB123) | v123(constB123) | v124(constB123)),
% 54.39/34.59 inference(unit_resolution,[status(thm)],[21199, 3413, 21177])).
% 54.39/34.59 tff(21201,plain,
% 54.39/34.59 (v120(constB123)),
% 54.39/34.59 inference(unit_resolution,[status(thm)],[21200, 21196, 21189, 21185, 21181, 21171])).
% 54.39/34.59 tff(21202,plain,
% 54.39/34.59 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB123) | (~v120(constB123)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB123) | (~v120(constB123)))),
% 54.39/34.59 inference(rewrite,[status(thm)],[])).
% 54.39/34.59 tff(21203,plain,
% 54.39/34.59 (((~v120(constB123)) | v118(constB123)) <=> (v118(constB123) | (~v120(constB123)))),
% 54.39/34.59 inference(rewrite,[status(thm)],[])).
% 54.39/34.59 tff(21204,plain,
% 54.39/34.59 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB123)) | v118(constB123))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB123) | (~v120(constB123))))),
% 54.39/34.59 inference(monotonicity,[status(thm)],[21203])).
% 54.39/34.59 tff(21205,plain,
% 54.39/34.59 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB123)) | v118(constB123))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB123) | (~v120(constB123)))),
% 54.39/34.59 inference(transitivity,[status(thm)],[21204, 21202])).
% 54.39/34.59 tff(21206,plain,
% 54.39/34.59 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB123)) | v118(constB123))),
% 54.39/34.59 inference(quant_inst,[status(thm)],[])).
% 54.39/34.59 tff(21207,plain,
% 54.39/34.59 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB123) | (~v120(constB123))),
% 54.39/34.59 inference(modus_ponens,[status(thm)],[21206, 21205])).
% 54.39/34.59 tff(21208,plain,
% 54.39/34.59 ($false),
% 54.39/34.59 inference(unit_resolution,[status(thm)],[21207, 1425, 21201, 21164])).
% 54.39/34.59 tff(21209,plain,(v108(constB123) | v127(constB123, 0)), inference(lemma,lemma(discharge,[]))).
% 54.39/34.59 tff(21210,plain,
% 54.39/34.59 (v108(constB123)),
% 54.39/34.59 inference(unit_resolution,[status(thm)],[21209, 21099])).
% 54.39/34.59 tff(21211,plain,
% 54.39/34.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123)))),
% 54.39/34.59 inference(rewrite,[status(thm)],[])).
% 54.39/34.59 tff(21212,plain,
% 54.39/34.59 (((~nextState(constB123, constB124)) | (~v108(constB123)) | v110(constB124)) <=> ((~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123)))),
% 54.39/34.59 inference(rewrite,[status(thm)],[])).
% 54.39/34.59 tff(21213,plain,
% 54.39/34.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB123, constB124)) | (~v108(constB123)) | v110(constB124))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123))))),
% 54.39/34.59 inference(monotonicity,[status(thm)],[21212])).
% 54.39/34.59 tff(21214,plain,
% 54.39/34.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB123, constB124)) | (~v108(constB123)) | v110(constB124))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123)))),
% 54.39/34.59 inference(transitivity,[status(thm)],[21213, 21211])).
% 54.39/34.59 tff(21215,plain,
% 54.39/34.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB123, constB124)) | (~v108(constB123)) | v110(constB124))),
% 54.39/34.59 inference(quant_inst,[status(thm)],[])).
% 54.39/34.59 tff(21216,plain,
% 54.39/34.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB123, constB124)) | v110(constB124) | (~v108(constB123))),
% 54.39/34.59 inference(modus_ponens,[status(thm)],[21215, 21214])).
% 54.39/34.59 tff(21217,plain,
% 54.39/34.59 (v110(constB124) | (~v108(constB123))),
% 54.39/34.59 inference(unit_resolution,[status(thm)],[21216, 1095, 21102])).
% 54.39/34.59 tff(21218,plain,
% 54.39/34.59 (v110(constB124)),
% 54.39/34.59 inference(unit_resolution,[status(thm)],[21217, 21210])).
% 54.39/34.59 tff(21219,plain,
% 54.39/34.59 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB123) | (~nextState(constB123, constB124)) | (~v104(constB124)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB123) | (~nextState(constB123, constB124)) | (~v104(constB124)))),
% 54.39/34.59 inference(rewrite,[status(thm)],[])).
% 54.39/34.59 tff(21220,plain,
% 54.39/34.59 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB123) | (~nextState(constB123, constB124)) | (~v104(constB124)))),
% 54.39/34.59 inference(quant_inst,[status(thm)],[])).
% 54.39/34.59 tff(21221,plain,
% 54.39/34.59 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB123) | (~nextState(constB123, constB124)) | (~v104(constB124))),
% 54.39/34.59 inference(modus_ponens,[status(thm)],[21220, 21219])).
% 54.39/34.59 tff(21222,plain,
% 54.39/34.59 (~v104(constB124)),
% 54.39/34.59 inference(unit_resolution,[status(thm)],[21221, 1113, 21102, 20990])).
% 54.39/34.59 tff(21223,plain,
% 54.39/34.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB123, constB124)) | v102(constB124) | v104(constB124))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB123, constB124)) | v102(constB124) | v104(constB124))),
% 54.39/34.59 inference(rewrite,[status(thm)],[])).
% 54.39/34.59 tff(21224,plain,
% 54.39/34.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB123, constB124)) | v102(constB124) | v104(constB124))),
% 54.39/34.59 inference(quant_inst,[status(thm)],[])).
% 54.39/34.59 tff(21225,plain,
% 54.39/34.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB123, constB124)) | v102(constB124) | v104(constB124)),
% 54.39/34.59 inference(modus_ponens,[status(thm)],[21224, 21223])).
% 54.39/34.59 tff(21226,plain,
% 54.39/34.59 (v102(constB124) | v104(constB124)),
% 54.39/34.59 inference(unit_resolution,[status(thm)],[21225, 1127, 21102])).
% 54.39/34.59 tff(21227,plain,
% 54.39/34.59 (v102(constB124)),
% 54.39/34.59 inference(unit_resolution,[status(thm)],[21226, 21222])).
% 54.39/34.59 tff(21228,plain,
% 54.39/34.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB123, constB124)) | v101(constB124) | (~v102(constB124)) | (~v1(constB124)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB123, constB124)) | v101(constB124) | (~v102(constB124)) | (~v1(constB124)))),
% 54.39/34.59 inference(rewrite,[status(thm)],[])).
% 54.39/34.59 tff(21229,plain,
% 54.39/34.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB123, constB124)) | v101(constB124) | (~v102(constB124)) | (~v1(constB124)))),
% 54.39/34.59 inference(quant_inst,[status(thm)],[])).
% 54.39/34.59 tff(21230,plain,
% 54.39/34.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB123, constB124)) | v101(constB124) | (~v102(constB124)) | (~v1(constB124))),
% 54.39/34.59 inference(modus_ponens,[status(thm)],[21229, 21228])).
% 54.39/34.59 tff(21231,plain,
% 54.39/34.59 (v101(constB124) | (~v102(constB124))),
% 54.39/34.59 inference(unit_resolution,[status(thm)],[21230, 1145, 21102, 574])).
% 54.39/34.59 tff(21232,plain,
% 54.39/34.59 (v101(constB124)),
% 54.39/34.59 inference(unit_resolution,[status(thm)],[21231, 21227])).
% 54.39/34.59 tff(21233,plain,
% 54.39/34.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124)))),
% 54.39/34.59 inference(rewrite,[status(thm)],[])).
% 54.39/34.59 tff(21234,plain,
% 54.39/34.59 (((~nextState(constB123, constB124)) | (~v101(constB124)) | (~v110(constB124)) | v100(constB124)) <=> ((~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124)))),
% 54.39/34.59 inference(rewrite,[status(thm)],[])).
% 54.39/34.59 tff(21235,plain,
% 54.39/34.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB123, constB124)) | (~v101(constB124)) | (~v110(constB124)) | v100(constB124))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124))))),
% 54.39/34.59 inference(monotonicity,[status(thm)],[21234])).
% 54.39/34.59 tff(21236,plain,
% 54.39/34.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB123, constB124)) | (~v101(constB124)) | (~v110(constB124)) | v100(constB124))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124)))),
% 54.39/34.59 inference(transitivity,[status(thm)],[21235, 21233])).
% 54.39/34.59 tff(21237,plain,
% 54.39/34.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB123, constB124)) | (~v101(constB124)) | (~v110(constB124)) | v100(constB124))),
% 54.39/34.59 inference(quant_inst,[status(thm)],[])).
% 54.39/34.59 tff(21238,plain,
% 54.39/34.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB123, constB124)) | v100(constB124) | (~v101(constB124)) | (~v110(constB124))),
% 54.39/34.59 inference(modus_ponens,[status(thm)],[21237, 21236])).
% 54.39/34.59 tff(21239,plain,
% 54.39/34.59 (v100(constB124) | (~v101(constB124)) | (~v110(constB124))),
% 54.39/34.59 inference(unit_resolution,[status(thm)],[21238, 1160, 21102])).
% 54.39/34.59 tff(21240,plain,
% 54.39/34.59 (v100(constB124) | (~v110(constB124))),
% 54.39/34.59 inference(unit_resolution,[status(thm)],[21239, 21232])).
% 54.39/34.59 tff(21241,plain,
% 54.39/34.59 (v100(constB124)),
% 54.39/34.59 inference(unit_resolution,[status(thm)],[21240, 21218])).
% 54.39/34.59 tff(21242,plain,
% 54.39/34.59 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB124, 0)) | v129(constB124, 0) | (~v100(constB124)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB124, 0)) | v129(constB124, 0) | (~v100(constB124)))),
% 54.39/34.59 inference(rewrite,[status(thm)],[])).
% 54.39/34.59 tff(21243,plain,
% 54.39/34.59 (((~v90(constB124, 0)) | (~v100(constB124)) | v129(constB124, 0)) <=> ((~v90(constB124, 0)) | v129(constB124, 0) | (~v100(constB124)))),
% 54.39/34.59 inference(rewrite,[status(thm)],[])).
% 54.39/34.59 tff(21244,plain,
% 54.39/34.59 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB124, 0)) | (~v100(constB124)) | v129(constB124, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB124, 0)) | v129(constB124, 0) | (~v100(constB124))))),
% 54.39/34.59 inference(monotonicity,[status(thm)],[21243])).
% 54.39/34.59 tff(21245,plain,
% 54.39/34.59 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB124, 0)) | (~v100(constB124)) | v129(constB124, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB124, 0)) | v129(constB124, 0) | (~v100(constB124)))),
% 54.39/34.59 inference(transitivity,[status(thm)],[21244, 21242])).
% 54.39/34.59 tff(21246,plain,
% 54.39/34.59 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB124, 0)) | (~v100(constB124)) | v129(constB124, 0))),
% 54.39/34.59 inference(quant_inst,[status(thm)],[])).
% 54.39/34.59 tff(21247,plain,
% 54.39/34.59 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB124, 0)) | v129(constB124, 0) | (~v100(constB124))),
% 54.39/34.59 inference(modus_ponens,[status(thm)],[21246, 21245])).
% 54.39/34.59 tff(21248,plain,
% 54.39/34.59 (~v90(constB124, 0)),
% 54.39/34.59 inference(unit_resolution,[status(thm)],[21247, 1704, 21241, 21107])).
% 54.39/34.59 tff(21249,plain,
% 54.39/34.59 ((~v1(constB125)) <=> (~v1(constB125))),
% 54.39/34.59 inference(rewrite,[status(thm)],[])).
% 54.39/34.59 tff(21250,axiom,(~v1(constB125)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_125_1_1')).
% 54.39/34.59 tff(21251,plain,
% 54.39/34.59 (~v1(constB125)),
% 54.39/34.59 inference(modus_ponens,[status(thm)],[21250, 21249])).
% 54.39/34.59 tff(21252,plain,
% 54.39/34.59 (nextState(constB124, constB125) <=> nextState(constB124, constB125)),
% 54.39/34.59 inference(rewrite,[status(thm)],[])).
% 54.39/34.59 tff(21253,axiom,(nextState(constB124, constB125)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_124_1')).
% 54.39/34.59 tff(21254,plain,
% 54.39/34.59 (nextState(constB124, constB125)),
% 54.39/34.59 inference(modus_ponens,[status(thm)],[21253, 21252])).
% 54.39/34.59 tff(21255,plain,
% 54.39/34.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125)))),
% 54.39/34.59 inference(rewrite,[status(thm)],[])).
% 54.39/34.59 tff(21256,plain,
% 54.39/34.59 (((~nextState(constB124, constB125)) | (~v101(constB125)) | v1(constB125)) <=> (v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125)))),
% 54.39/34.59 inference(rewrite,[status(thm)],[])).
% 54.39/34.59 tff(21257,plain,
% 54.39/34.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB124, constB125)) | (~v101(constB125)) | v1(constB125))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125))))),
% 54.39/34.59 inference(monotonicity,[status(thm)],[21256])).
% 54.39/34.59 tff(21258,plain,
% 54.39/34.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB124, constB125)) | (~v101(constB125)) | v1(constB125))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125)))),
% 54.39/34.59 inference(transitivity,[status(thm)],[21257, 21255])).
% 54.39/34.59 tff(21259,plain,
% 54.39/34.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB124, constB125)) | (~v101(constB125)) | v1(constB125))),
% 54.39/34.59 inference(quant_inst,[status(thm)],[])).
% 54.39/34.59 tff(21260,plain,
% 54.39/34.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB125) | (~nextState(constB124, constB125)) | (~v101(constB125))),
% 54.39/34.59 inference(modus_ponens,[status(thm)],[21259, 21258])).
% 54.39/34.59 tff(21261,plain,
% 54.39/34.59 (~v101(constB125)),
% 54.39/34.59 inference(unit_resolution,[status(thm)],[21260, 873, 21254, 21251])).
% 54.39/34.59 tff(21262,plain,
% 54.39/34.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB124, constB125)) | v101(constB125) | (~v100(constB125)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB124, constB125)) | v101(constB125) | (~v100(constB125)))),
% 54.39/34.59 inference(rewrite,[status(thm)],[])).
% 54.39/34.59 tff(21263,plain,
% 54.39/34.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB124, constB125)) | v101(constB125) | (~v100(constB125)))),
% 54.39/34.59 inference(quant_inst,[status(thm)],[])).
% 54.39/34.59 tff(21264,plain,
% 54.39/34.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB124, constB125)) | v101(constB125) | (~v100(constB125))),
% 54.39/34.59 inference(modus_ponens,[status(thm)],[21263, 21262])).
% 54.39/34.59 tff(21265,plain,
% 54.39/34.59 (v101(constB125) | (~v100(constB125))),
% 54.39/34.59 inference(unit_resolution,[status(thm)],[21264, 890, 21254])).
% 54.39/34.59 tff(21266,plain,
% 54.39/34.59 (~v100(constB125)),
% 54.39/34.59 inference(unit_resolution,[status(thm)],[21265, 21261])).
% 54.39/34.59 tff(21267,plain,
% 54.39/34.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB124, 0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB124, 0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, 0)))),
% 54.39/34.59 inference(rewrite,[status(thm)],[])).
% 54.39/34.59 tff(21268,plain,
% 54.39/34.59 (((~nextState(constB124, constB125)) | v90(constB124, 0) | v100(constB125) | (~v90(constB125, 0))) <=> (v90(constB124, 0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, 0)))),
% 54.39/34.59 inference(rewrite,[status(thm)],[])).
% 54.39/34.60 tff(21269,plain,
% 54.39/34.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB124, constB125)) | v90(constB124, 0) | v100(constB125) | (~v90(constB125, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB124, 0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, 0))))),
% 54.39/34.60 inference(monotonicity,[status(thm)],[21268])).
% 54.39/34.60 tff(21270,plain,
% 54.39/34.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB124, constB125)) | v90(constB124, 0) | v100(constB125) | (~v90(constB125, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB124, 0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, 0)))),
% 54.39/34.60 inference(transitivity,[status(thm)],[21269, 21267])).
% 54.39/34.60 tff(21271,plain,
% 54.39/34.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB124, constB125)) | v90(constB124, 0) | v100(constB125) | (~v90(constB125, 0)))),
% 54.39/34.60 inference(quant_inst,[status(thm)],[])).
% 54.39/34.60 tff(21272,plain,
% 54.39/34.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB124, 0) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, 0))),
% 54.39/34.60 inference(modus_ponens,[status(thm)],[21271, 21270])).
% 54.39/34.60 tff(21273,plain,
% 54.39/34.60 (v90(constB124, 0) | v100(constB125) | (~v90(constB125, 0))),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21272, 947, 21254])).
% 54.39/34.60 tff(21274,plain,
% 54.39/34.60 (v90(constB124, 0) | (~v90(constB125, 0))),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21273, 21266])).
% 54.39/34.60 tff(21275,plain,
% 54.39/34.60 (~v90(constB125, 0)),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21274, 21248])).
% 54.39/34.60 tff(21276,plain,
% 54.39/34.60 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB123)) | (~v130(constB123, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB123)) | (~v130(constB123, 2)))),
% 54.39/34.60 inference(rewrite,[status(thm)],[])).
% 54.39/34.60 tff(21277,plain,
% 54.39/34.60 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB123)) | (~v130(constB123, 2)))),
% 54.39/34.60 inference(quant_inst,[status(thm)],[])).
% 54.39/34.60 tff(21278,plain,
% 54.39/34.60 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB123)) | (~v130(constB123, 2))),
% 54.39/34.60 inference(modus_ponens,[status(thm)],[21277, 21276])).
% 54.39/34.60 tff(21279,plain,
% 54.39/34.60 (~v130(constB123, 2)),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21278, 1523, 21083])).
% 54.39/34.60 tff(21280,plain,
% 54.39/34.60 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB123, 2)) | v26(constB123) | v130(constB123, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB123, 2)) | v26(constB123) | v130(constB123, 2))),
% 54.39/34.60 inference(rewrite,[status(thm)],[])).
% 54.39/34.60 tff(21281,plain,
% 54.39/34.60 ((v26(constB123) | v130(constB123, 2) | (~v127(constB123, 2))) <=> ((~v127(constB123, 2)) | v26(constB123) | v130(constB123, 2))),
% 54.39/34.60 inference(rewrite,[status(thm)],[])).
% 54.39/34.60 tff(21282,plain,
% 54.39/34.60 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB123) | v130(constB123, 2) | (~v127(constB123, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB123, 2)) | v26(constB123) | v130(constB123, 2)))),
% 54.39/34.60 inference(monotonicity,[status(thm)],[21281])).
% 54.39/34.60 tff(21283,plain,
% 54.39/34.60 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB123) | v130(constB123, 2) | (~v127(constB123, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB123, 2)) | v26(constB123) | v130(constB123, 2))),
% 54.39/34.60 inference(transitivity,[status(thm)],[21282, 21280])).
% 54.39/34.60 tff(21284,plain,
% 54.39/34.60 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB123) | v130(constB123, 2) | (~v127(constB123, 2)))),
% 54.39/34.60 inference(quant_inst,[status(thm)],[])).
% 54.39/34.60 tff(21285,plain,
% 54.39/34.60 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB123, 2)) | v26(constB123) | v130(constB123, 2)),
% 54.39/34.60 inference(modus_ponens,[status(thm)],[21284, 21283])).
% 54.39/34.60 tff(21286,plain,
% 54.39/34.60 ((~v127(constB123, 2)) | v130(constB123, 2)),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21285, 1190, 21091])).
% 54.39/34.60 tff(21287,plain,
% 54.39/34.60 (~v127(constB123, 2)),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21286, 21279])).
% 54.39/34.60 tff(21288,plain,
% 54.39/34.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB123, constB124)) | v127(constB123, 2) | (~v129(constB124, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB123, constB124)) | v127(constB123, 2) | (~v129(constB124, 2)))),
% 54.39/34.60 inference(rewrite,[status(thm)],[])).
% 54.39/34.60 tff(21289,plain,
% 54.39/34.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB123, constB124)) | v127(constB123, 2) | (~v129(constB124, 2)))),
% 54.39/34.60 inference(quant_inst,[status(thm)],[])).
% 54.39/34.60 tff(21290,plain,
% 54.39/34.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB123, constB124)) | v127(constB123, 2) | (~v129(constB124, 2))),
% 54.39/34.60 inference(modus_ponens,[status(thm)],[21289, 21288])).
% 54.39/34.60 tff(21291,plain,
% 54.39/34.60 (v127(constB123, 2) | (~v129(constB124, 2))),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21290, 1208, 21102])).
% 54.39/34.60 tff(21292,plain,
% 54.39/34.60 (~v129(constB124, 2)),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21291, 21287])).
% 54.39/34.60 tff(21293,plain,
% 54.39/34.60 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB124, 2)) | v129(constB124, 2) | (~v100(constB124)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB124, 2)) | v129(constB124, 2) | (~v100(constB124)))),
% 54.39/34.60 inference(rewrite,[status(thm)],[])).
% 54.39/34.60 tff(21294,plain,
% 54.39/34.60 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB124, 2)) | v129(constB124, 2) | (~v100(constB124)))),
% 54.39/34.60 inference(quant_inst,[status(thm)],[])).
% 54.39/34.60 tff(21295,plain,
% 54.39/34.60 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB124, 2)) | v129(constB124, 2) | (~v100(constB124))),
% 54.39/34.60 inference(modus_ponens,[status(thm)],[21294, 21293])).
% 54.39/34.60 tff(21296,plain,
% 54.39/34.60 (~v90(constB124, 2)),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21295, 1223, 21241, 21292])).
% 54.39/34.60 tff(21297,plain,
% 54.39/34.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB124, 2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB124, 2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, 2)))),
% 54.39/34.60 inference(rewrite,[status(thm)],[])).
% 54.39/34.60 tff(21298,plain,
% 54.39/34.60 (((~nextState(constB124, constB125)) | v90(constB124, 2) | v100(constB125) | (~v90(constB125, 2))) <=> (v90(constB124, 2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, 2)))),
% 54.39/34.60 inference(rewrite,[status(thm)],[])).
% 54.39/34.60 tff(21299,plain,
% 54.39/34.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB124, constB125)) | v90(constB124, 2) | v100(constB125) | (~v90(constB125, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB124, 2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, 2))))),
% 54.39/34.60 inference(monotonicity,[status(thm)],[21298])).
% 54.39/34.60 tff(21300,plain,
% 54.39/34.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB124, constB125)) | v90(constB124, 2) | v100(constB125) | (~v90(constB125, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB124, 2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, 2)))),
% 54.39/34.60 inference(transitivity,[status(thm)],[21299, 21297])).
% 54.39/34.60 tff(21301,plain,
% 54.39/34.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB124, constB125)) | v90(constB124, 2) | v100(constB125) | (~v90(constB125, 2)))),
% 54.39/34.60 inference(quant_inst,[status(thm)],[])).
% 54.39/34.60 tff(21302,plain,
% 54.39/34.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB124, 2) | (~nextState(constB124, constB125)) | v100(constB125) | (~v90(constB125, 2))),
% 54.39/34.60 inference(modus_ponens,[status(thm)],[21301, 21300])).
% 54.39/34.60 tff(21303,plain,
% 54.39/34.60 (v90(constB124, 2) | v100(constB125) | (~v90(constB125, 2))),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21302, 905, 21254])).
% 54.39/34.60 tff(21304,plain,
% 54.39/34.60 (v90(constB124, 2) | (~v90(constB125, 2))),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21303, 21266])).
% 54.39/34.60 tff(21305,plain,
% 54.39/34.60 (~v90(constB125, 2)),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21304, 21296])).
% 54.39/34.60 tff(21306,assumption,(~v90(constB125, 2)), introduced(assumption)).
% 54.39/34.60 tff(21307,plain,
% 54.39/34.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB124, 2)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB124, 2)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, 2))),
% 54.39/34.60 inference(rewrite,[status(thm)],[])).
% 54.39/34.60 tff(21308,plain,
% 54.39/34.60 (((~nextState(constB124, constB125)) | (~v90(constB124, 2)) | v100(constB125) | v90(constB125, 2)) <=> ((~v90(constB124, 2)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, 2))),
% 54.39/34.60 inference(rewrite,[status(thm)],[])).
% 54.39/34.60 tff(21309,plain,
% 54.39/34.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB124, constB125)) | (~v90(constB124, 2)) | v100(constB125) | v90(constB125, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB124, 2)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, 2)))),
% 54.39/34.60 inference(monotonicity,[status(thm)],[21308])).
% 54.39/34.60 tff(21310,plain,
% 54.39/34.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB124, constB125)) | (~v90(constB124, 2)) | v100(constB125) | v90(constB125, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB124, 2)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, 2))),
% 54.39/34.60 inference(transitivity,[status(thm)],[21309, 21307])).
% 54.39/34.60 tff(21311,plain,
% 54.39/34.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB124, constB125)) | (~v90(constB124, 2)) | v100(constB125) | v90(constB125, 2))),
% 54.39/34.60 inference(quant_inst,[status(thm)],[])).
% 54.39/34.60 tff(21312,plain,
% 54.39/34.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB124, 2)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, 2)),
% 54.39/34.60 inference(modus_ponens,[status(thm)],[21311, 21310])).
% 54.39/34.60 tff(21313,plain,
% 54.39/34.60 ((~v90(constB124, 2)) | v100(constB125) | v90(constB125, 2)),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21312, 2174, 21254])).
% 54.39/34.60 tff(21314,plain,
% 54.39/34.60 ((~v90(constB124, 2)) | v90(constB125, 2)),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21313, 21266])).
% 54.39/34.60 tff(21315,plain,
% 54.39/34.60 (~v90(constB124, 2)),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21314, 21306])).
% 54.39/34.60 tff(21316,assumption,(~v90(constB125, 0)), introduced(assumption)).
% 54.39/34.60 tff(21317,plain,
% 54.39/34.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB124, 0)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB124, 0)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, 0))),
% 54.39/34.60 inference(rewrite,[status(thm)],[])).
% 54.39/34.60 tff(21318,plain,
% 54.39/34.60 (((~nextState(constB124, constB125)) | (~v90(constB124, 0)) | v100(constB125) | v90(constB125, 0)) <=> ((~v90(constB124, 0)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, 0))),
% 54.39/34.60 inference(rewrite,[status(thm)],[])).
% 54.39/34.60 tff(21319,plain,
% 54.39/34.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB124, constB125)) | (~v90(constB124, 0)) | v100(constB125) | v90(constB125, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB124, 0)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, 0)))),
% 54.39/34.60 inference(monotonicity,[status(thm)],[21318])).
% 54.39/34.60 tff(21320,plain,
% 54.39/34.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB124, constB125)) | (~v90(constB124, 0)) | v100(constB125) | v90(constB125, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB124, 0)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, 0))),
% 54.39/34.60 inference(transitivity,[status(thm)],[21319, 21317])).
% 54.39/34.60 tff(21321,plain,
% 54.39/34.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB124, constB125)) | (~v90(constB124, 0)) | v100(constB125) | v90(constB125, 0))),
% 54.39/34.60 inference(quant_inst,[status(thm)],[])).
% 54.39/34.60 tff(21322,plain,
% 54.39/34.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB124, 0)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, 0)),
% 54.39/34.60 inference(modus_ponens,[status(thm)],[21321, 21320])).
% 54.39/34.60 tff(21323,plain,
% 54.39/34.60 ((~v90(constB124, 0)) | v100(constB125) | v90(constB125, 0)),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21322, 1395, 21254])).
% 54.39/34.60 tff(21324,plain,
% 54.39/34.60 ((~v90(constB124, 0)) | v90(constB125, 0)),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21323, 21266])).
% 54.39/34.60 tff(21325,plain,
% 54.39/34.60 (~v90(constB124, 0)),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21324, 21316])).
% 54.39/34.60 tff(21326,assumption,(~v121(constB125)), introduced(assumption)).
% 54.39/34.60 tff(21327,plain,
% 54.39/34.60 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB125, 0) | (~v90(constB125, 1)) | v90(constB125, 2) | v121(constB125))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB125, 0) | (~v90(constB125, 1)) | v90(constB125, 2) | v121(constB125))),
% 54.39/34.60 inference(rewrite,[status(thm)],[])).
% 54.39/34.60 tff(21328,plain,
% 54.39/34.60 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB125, 0) | (~v90(constB125, 1)) | v90(constB125, 2) | v121(constB125))),
% 54.39/34.60 inference(quant_inst,[status(thm)],[])).
% 54.39/34.60 tff(21329,plain,
% 54.39/34.60 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB125, 0) | (~v90(constB125, 1)) | v90(constB125, 2) | v121(constB125)),
% 54.39/34.60 inference(modus_ponens,[status(thm)],[21328, 21327])).
% 54.39/34.60 tff(21330,plain,
% 54.39/34.60 (v90(constB125, 0) | (~v90(constB125, 1)) | v90(constB125, 2)),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21329, 1731, 21326])).
% 54.39/34.60 tff(21331,plain,
% 54.39/34.60 (~v90(constB125, 1)),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21330, 21306, 21316])).
% 54.39/34.60 tff(21332,plain,
% 54.39/34.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB124, 1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB124, 1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, 1))),
% 54.39/34.60 inference(rewrite,[status(thm)],[])).
% 54.39/34.60 tff(21333,plain,
% 54.39/34.60 (((~nextState(constB124, constB125)) | (~v90(constB124, 1)) | v100(constB125) | v90(constB125, 1)) <=> ((~v90(constB124, 1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, 1))),
% 54.39/34.60 inference(rewrite,[status(thm)],[])).
% 54.39/34.60 tff(21334,plain,
% 54.39/34.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB124, constB125)) | (~v90(constB124, 1)) | v100(constB125) | v90(constB125, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB124, 1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, 1)))),
% 54.39/34.60 inference(monotonicity,[status(thm)],[21333])).
% 54.39/34.60 tff(21335,plain,
% 54.39/34.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB124, constB125)) | (~v90(constB124, 1)) | v100(constB125) | v90(constB125, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB124, 1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, 1))),
% 54.39/34.60 inference(transitivity,[status(thm)],[21334, 21332])).
% 54.39/34.60 tff(21336,plain,
% 54.39/34.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB124, constB125)) | (~v90(constB124, 1)) | v100(constB125) | v90(constB125, 1))),
% 54.39/34.60 inference(quant_inst,[status(thm)],[])).
% 54.39/34.60 tff(21337,plain,
% 54.39/34.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB124, 1)) | (~nextState(constB124, constB125)) | v100(constB125) | v90(constB125, 1)),
% 54.39/34.60 inference(modus_ponens,[status(thm)],[21336, 21335])).
% 54.39/34.60 tff(21338,plain,
% 54.39/34.60 ((~v90(constB124, 1)) | v100(constB125) | v90(constB125, 1)),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21337, 1641, 21254])).
% 54.39/34.60 tff(21339,plain,
% 54.39/34.60 ((~v90(constB124, 1)) | v90(constB125, 1)),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21338, 21266])).
% 54.39/34.60 tff(21340,plain,
% 54.39/34.60 (~v90(constB124, 1)),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21339, 21331])).
% 54.39/34.60 tff(21341,assumption,(~v90(constB124, 2)), introduced(assumption)).
% 54.39/34.60 tff(21342,assumption,(~v100(constB124)), introduced(assumption)).
% 54.39/34.60 tff(21343,plain,
% 54.39/34.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB123, 2)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB123, 2)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, 2))),
% 54.39/34.60 inference(rewrite,[status(thm)],[])).
% 54.39/34.60 tff(21344,plain,
% 54.39/34.60 (((~nextState(constB123, constB124)) | (~v90(constB123, 2)) | v100(constB124) | v90(constB124, 2)) <=> ((~v90(constB123, 2)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, 2))),
% 54.39/34.60 inference(rewrite,[status(thm)],[])).
% 54.39/34.60 tff(21345,plain,
% 54.39/34.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB123, constB124)) | (~v90(constB123, 2)) | v100(constB124) | v90(constB124, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB123, 2)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, 2)))),
% 54.39/34.60 inference(monotonicity,[status(thm)],[21344])).
% 54.39/34.60 tff(21346,plain,
% 54.39/34.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB123, constB124)) | (~v90(constB123, 2)) | v100(constB124) | v90(constB124, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB123, 2)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, 2))),
% 54.39/34.60 inference(transitivity,[status(thm)],[21345, 21343])).
% 54.39/34.60 tff(21347,plain,
% 54.39/34.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB123, constB124)) | (~v90(constB123, 2)) | v100(constB124) | v90(constB124, 2))),
% 54.39/34.60 inference(quant_inst,[status(thm)],[])).
% 54.39/34.60 tff(21348,plain,
% 54.39/34.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB123, 2)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, 2)),
% 54.39/34.60 inference(modus_ponens,[status(thm)],[21347, 21346])).
% 54.39/34.60 tff(21349,plain,
% 54.39/34.60 ((~v90(constB123, 2)) | v100(constB124) | v90(constB124, 2)),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21348, 2174, 21102])).
% 54.39/34.60 tff(21350,plain,
% 54.39/34.60 (~v90(constB123, 2)),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21349, 21342, 21341])).
% 54.39/34.60 tff(21351,assumption,(~v90(constB124, 1)), introduced(assumption)).
% 54.39/34.60 tff(21352,plain,
% 54.39/34.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB123, 1)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB123, 1)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, 1))),
% 54.39/34.60 inference(rewrite,[status(thm)],[])).
% 54.39/34.60 tff(21353,plain,
% 54.39/34.60 (((~nextState(constB123, constB124)) | (~v90(constB123, 1)) | v100(constB124) | v90(constB124, 1)) <=> ((~v90(constB123, 1)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, 1))),
% 54.39/34.60 inference(rewrite,[status(thm)],[])).
% 54.39/34.60 tff(21354,plain,
% 54.39/34.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB123, constB124)) | (~v90(constB123, 1)) | v100(constB124) | v90(constB124, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB123, 1)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, 1)))),
% 54.39/34.60 inference(monotonicity,[status(thm)],[21353])).
% 54.39/34.60 tff(21355,plain,
% 54.39/34.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB123, constB124)) | (~v90(constB123, 1)) | v100(constB124) | v90(constB124, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB123, 1)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, 1))),
% 54.39/34.60 inference(transitivity,[status(thm)],[21354, 21352])).
% 54.39/34.60 tff(21356,plain,
% 54.39/34.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB123, constB124)) | (~v90(constB123, 1)) | v100(constB124) | v90(constB124, 1))),
% 54.39/34.60 inference(quant_inst,[status(thm)],[])).
% 54.39/34.60 tff(21357,plain,
% 54.39/34.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB123, 1)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, 1)),
% 54.39/34.60 inference(modus_ponens,[status(thm)],[21356, 21355])).
% 54.39/34.60 tff(21358,plain,
% 54.39/34.60 ((~v90(constB123, 1)) | v100(constB124) | v90(constB124, 1)),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21357, 1641, 21102])).
% 54.39/34.60 tff(21359,plain,
% 54.39/34.60 (~v90(constB123, 1)),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21358, 21342, 21351])).
% 54.39/34.60 tff(21360,assumption,(~v90(constB124, 0)), introduced(assumption)).
% 54.39/34.60 tff(21361,plain,
% 54.39/34.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB123, 0)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB123, 0)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, 0))),
% 54.39/34.60 inference(rewrite,[status(thm)],[])).
% 54.39/34.60 tff(21362,plain,
% 54.39/34.60 (((~nextState(constB123, constB124)) | (~v90(constB123, 0)) | v100(constB124) | v90(constB124, 0)) <=> ((~v90(constB123, 0)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, 0))),
% 54.39/34.60 inference(rewrite,[status(thm)],[])).
% 54.39/34.60 tff(21363,plain,
% 54.39/34.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB123, constB124)) | (~v90(constB123, 0)) | v100(constB124) | v90(constB124, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB123, 0)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, 0)))),
% 54.39/34.60 inference(monotonicity,[status(thm)],[21362])).
% 54.39/34.60 tff(21364,plain,
% 54.39/34.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB123, constB124)) | (~v90(constB123, 0)) | v100(constB124) | v90(constB124, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB123, 0)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, 0))),
% 54.39/34.60 inference(transitivity,[status(thm)],[21363, 21361])).
% 54.39/34.60 tff(21365,plain,
% 54.39/34.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB123, constB124)) | (~v90(constB123, 0)) | v100(constB124) | v90(constB124, 0))),
% 54.39/34.60 inference(quant_inst,[status(thm)],[])).
% 54.39/34.60 tff(21366,plain,
% 54.39/34.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB123, 0)) | (~nextState(constB123, constB124)) | v100(constB124) | v90(constB124, 0)),
% 54.39/34.60 inference(modus_ponens,[status(thm)],[21365, 21364])).
% 54.39/34.60 tff(21367,plain,
% 54.39/34.60 ((~v90(constB123, 0)) | v100(constB124) | v90(constB124, 0)),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21366, 1395, 21102])).
% 54.39/34.60 tff(21368,plain,
% 54.39/34.60 (~v90(constB123, 0)),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21367, 21342, 21360])).
% 54.39/34.60 tff(21369,assumption,(v119(constB123)), introduced(assumption)).
% 54.39/34.60 tff(21370,plain,
% 54.39/34.60 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB123)) | v118(constB123))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB123)) | v118(constB123))),
% 54.39/34.60 inference(rewrite,[status(thm)],[])).
% 54.39/34.60 tff(21371,plain,
% 54.39/34.60 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB123)) | v118(constB123))),
% 54.39/34.60 inference(quant_inst,[status(thm)],[])).
% 54.39/34.60 tff(21372,plain,
% 54.39/34.60 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB123)) | v118(constB123)),
% 54.39/34.60 inference(modus_ponens,[status(thm)],[21371, 21370])).
% 54.39/34.60 tff(21373,plain,
% 54.39/34.60 (v118(constB123)),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21372, 982, 21369])).
% 54.39/34.60 tff(21374,plain,
% 54.39/34.60 (v117(constB123)),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21163, 993, 21373])).
% 54.39/34.60 tff(21375,plain,
% 54.39/34.60 (v116(constB123)),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21156, 1007, 21374])).
% 54.39/34.60 tff(21376,plain,
% 54.39/34.60 (v130(constB123, 0)),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21184, 1333, 21369])).
% 54.39/34.60 tff(21377,plain,
% 54.39/34.60 ((~v130(constB123, 0)) | v127(constB123, 0)),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21175, 1347, 21091])).
% 54.39/34.60 tff(21378,plain,
% 54.39/34.60 (v127(constB123, 0)),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21377, 21376])).
% 54.39/34.60 tff(21379,plain,
% 54.39/34.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB123, constB124)) | (~v127(constB123, 0)) | v129(constB124, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB123, constB124)) | (~v127(constB123, 0)) | v129(constB124, 0))),
% 54.39/34.60 inference(rewrite,[status(thm)],[])).
% 54.39/34.60 tff(21380,plain,
% 54.39/34.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB123, constB124)) | (~v127(constB123, 0)) | v129(constB124, 0))),
% 54.39/34.60 inference(quant_inst,[status(thm)],[])).
% 54.39/34.60 tff(21381,plain,
% 54.39/34.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB123, constB124)) | (~v127(constB123, 0)) | v129(constB124, 0)),
% 54.39/34.60 inference(modus_ponens,[status(thm)],[21380, 21379])).
% 54.39/34.60 tff(21382,plain,
% 54.39/34.60 ((~v127(constB123, 0)) | v129(constB124, 0)),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21381, 1362, 21102])).
% 54.39/34.60 tff(21383,plain,
% 54.39/34.60 (v129(constB124, 0)),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21382, 21378])).
% 54.39/34.60 tff(21384,plain,
% 54.39/34.60 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB124, 0) | (~v129(constB124, 0)) | (~v100(constB124)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB124, 0) | (~v129(constB124, 0)) | (~v100(constB124)))),
% 54.39/34.60 inference(rewrite,[status(thm)],[])).
% 54.39/34.60 tff(21385,plain,
% 54.39/34.60 ((v90(constB124, 0) | (~v100(constB124)) | (~v129(constB124, 0))) <=> (v90(constB124, 0) | (~v129(constB124, 0)) | (~v100(constB124)))),
% 54.39/34.60 inference(rewrite,[status(thm)],[])).
% 54.39/34.60 tff(21386,plain,
% 54.39/34.60 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB124, 0) | (~v100(constB124)) | (~v129(constB124, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB124, 0) | (~v129(constB124, 0)) | (~v100(constB124))))),
% 54.39/34.60 inference(monotonicity,[status(thm)],[21385])).
% 54.39/34.60 tff(21387,plain,
% 54.39/34.60 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB124, 0) | (~v100(constB124)) | (~v129(constB124, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB124, 0) | (~v129(constB124, 0)) | (~v100(constB124)))),
% 54.39/34.60 inference(transitivity,[status(thm)],[21386, 21384])).
% 54.39/34.60 tff(21388,plain,
% 54.39/34.60 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB124, 0) | (~v100(constB124)) | (~v129(constB124, 0)))),
% 54.39/34.60 inference(quant_inst,[status(thm)],[])).
% 54.39/34.60 tff(21389,plain,
% 54.39/34.60 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB124, 0) | (~v129(constB124, 0)) | (~v100(constB124))),
% 54.39/34.60 inference(modus_ponens,[status(thm)],[21388, 21387])).
% 54.39/34.60 tff(21390,plain,
% 54.39/34.60 ((~v129(constB124, 0)) | (~v100(constB124))),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21389, 1377, 21360])).
% 54.39/34.60 tff(21391,plain,
% 54.39/34.60 (~v100(constB124)),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21390, 21383])).
% 54.39/34.60 tff(21392,plain,
% 54.39/34.60 (~v110(constB124)),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21240, 21391])).
% 54.39/34.60 tff(21393,plain,
% 54.39/34.60 (~v108(constB123)),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21217, 21392])).
% 54.39/34.60 tff(21394,plain,
% 54.39/34.60 (v127(constB123, 0)),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21209, 21108])).
% 54.39/34.60 tff(21395,plain,
% 54.39/34.60 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | ((~v26(constB123)) | (~v127(constB123, 0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | (~v26(constB123)) | (~v127(constB123, 0)))),
% 54.39/34.60 inference(rewrite,[status(thm)],[])).
% 54.39/34.60 tff(21396,plain,
% 54.39/34.60 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | ((~v26(constB123)) | (~v127(constB123, 0)))),
% 54.39/34.60 inference(quant_inst,[status(thm)],[])).
% 54.39/34.60 tff(21397,plain,
% 54.39/34.60 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | (~v26(constB123)) | (~v127(constB123, 0))),
% 54.39/34.60 inference(modus_ponens,[status(thm)],[21396, 21395])).
% 54.39/34.60 tff(21398,plain,
% 54.39/34.60 (~v26(constB123)),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21397, 2241, 21394])).
% 54.39/34.60 tff(21399,assumption,(v113(constB123)), introduced(assumption)).
% 54.39/34.60 tff(21400,plain,
% 54.39/34.60 (v26(constB123) | v112(constB123)),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21128, 1063, 21399])).
% 54.39/34.60 tff(21401,plain,
% 54.39/34.60 ($false),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21400, 21115, 21398])).
% 54.39/34.60 tff(21402,plain,(v108(constB123) | (~v113(constB123))), inference(lemma,lemma(discharge,[]))).
% 54.39/34.60 tff(21403,plain,
% 54.39/34.60 (~v113(constB123)),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21402, 21393])).
% 54.39/34.60 tff(21404,plain,
% 54.39/34.60 (~v114(constB123)),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21135, 1049, 21403])).
% 54.39/34.60 tff(21405,plain,
% 54.39/34.60 (~v115(constB123)),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21142, 1035, 21404])).
% 54.39/34.60 tff(21406,plain,
% 54.39/34.60 ($false),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21149, 1021, 21405, 21375])).
% 54.39/34.60 tff(21407,plain,((~v119(constB123)) | v90(constB124, 0)), inference(lemma,lemma(discharge,[]))).
% 54.39/34.60 tff(21408,plain,
% 54.39/34.60 (~v119(constB123)),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21407, 21360])).
% 54.39/34.60 tff(21409,plain,
% 54.39/34.60 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB123, 0) | v90(constB123, 1) | v90(constB123, 2) | v119(constB123))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB123, 0) | v90(constB123, 1) | v90(constB123, 2) | v119(constB123))),
% 54.39/34.60 inference(rewrite,[status(thm)],[])).
% 54.39/34.60 tff(21410,plain,
% 54.39/34.60 ((v90(constB123, 0) | v119(constB123) | v90(constB123, 1) | v90(constB123, 2)) <=> (v90(constB123, 0) | v90(constB123, 1) | v90(constB123, 2) | v119(constB123))),
% 54.39/34.60 inference(rewrite,[status(thm)],[])).
% 54.39/34.60 tff(21411,plain,
% 54.39/34.60 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB123, 0) | v119(constB123) | v90(constB123, 1) | v90(constB123, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB123, 0) | v90(constB123, 1) | v90(constB123, 2) | v119(constB123)))),
% 54.39/34.60 inference(monotonicity,[status(thm)],[21410])).
% 54.39/34.60 tff(21412,plain,
% 54.39/34.60 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB123, 0) | v119(constB123) | v90(constB123, 1) | v90(constB123, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB123, 0) | v90(constB123, 1) | v90(constB123, 2) | v119(constB123))),
% 54.39/34.60 inference(transitivity,[status(thm)],[21411, 21409])).
% 54.39/34.60 tff(21413,plain,
% 54.39/34.60 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB123, 0) | v119(constB123) | v90(constB123, 1) | v90(constB123, 2))),
% 54.39/34.60 inference(quant_inst,[status(thm)],[])).
% 54.39/34.60 tff(21414,plain,
% 54.39/34.60 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB123, 0) | v90(constB123, 1) | v90(constB123, 2) | v119(constB123)),
% 54.39/34.60 inference(modus_ponens,[status(thm)],[21413, 21412])).
% 54.39/34.60 tff(21415,plain,
% 54.39/34.60 (v90(constB123, 0) | v90(constB123, 1) | v90(constB123, 2)),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21414, 968, 21408])).
% 54.39/34.60 tff(21416,plain,
% 54.39/34.60 ($false),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21415, 21368, 21359, 21350])).
% 54.39/34.60 tff(21417,plain,(v100(constB124) | v90(constB124, 0) | v90(constB124, 1) | v90(constB124, 2)), inference(lemma,lemma(discharge,[]))).
% 54.39/34.60 tff(21418,plain,
% 54.39/34.60 (v100(constB124)),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21417, 21340, 21325, 21315])).
% 54.39/34.60 tff(21419,plain,
% 54.39/34.60 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB124, 2) | (~v129(constB124, 2)) | (~v100(constB124)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB124, 2) | (~v129(constB124, 2)) | (~v100(constB124)))),
% 54.39/34.60 inference(rewrite,[status(thm)],[])).
% 54.39/34.60 tff(21420,plain,
% 54.39/34.60 ((v90(constB124, 2) | (~v100(constB124)) | (~v129(constB124, 2))) <=> (v90(constB124, 2) | (~v129(constB124, 2)) | (~v100(constB124)))),
% 54.39/34.60 inference(rewrite,[status(thm)],[])).
% 54.39/34.60 tff(21421,plain,
% 54.39/34.60 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB124, 2) | (~v100(constB124)) | (~v129(constB124, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB124, 2) | (~v129(constB124, 2)) | (~v100(constB124))))),
% 54.39/34.60 inference(monotonicity,[status(thm)],[21420])).
% 54.39/34.60 tff(21422,plain,
% 54.39/34.60 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB124, 2) | (~v100(constB124)) | (~v129(constB124, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB124, 2) | (~v129(constB124, 2)) | (~v100(constB124)))),
% 54.39/34.60 inference(transitivity,[status(thm)],[21421, 21419])).
% 54.39/34.60 tff(21423,plain,
% 54.39/34.60 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB124, 2) | (~v100(constB124)) | (~v129(constB124, 2)))),
% 54.39/34.60 inference(quant_inst,[status(thm)],[])).
% 54.39/34.60 tff(21424,plain,
% 54.39/34.60 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB124, 2) | (~v129(constB124, 2)) | (~v100(constB124))),
% 54.39/34.60 inference(modus_ponens,[status(thm)],[21423, 21422])).
% 54.39/34.60 tff(21425,plain,
% 54.39/34.60 ((~v129(constB124, 2)) | (~v100(constB124))),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21424, 2324, 21315])).
% 54.39/34.60 tff(21426,plain,
% 54.39/34.60 (~v129(constB124, 2)),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21425, 21418])).
% 54.39/34.60 tff(21427,plain,
% 54.39/34.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB123, constB124)) | (~v127(constB123, 2)) | v129(constB124, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB123, constB124)) | (~v127(constB123, 2)) | v129(constB124, 2))),
% 54.39/34.60 inference(rewrite,[status(thm)],[])).
% 54.39/34.60 tff(21428,plain,
% 54.39/34.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB123, constB124)) | (~v127(constB123, 2)) | v129(constB124, 2))),
% 54.39/34.60 inference(quant_inst,[status(thm)],[])).
% 54.39/34.60 tff(21429,plain,
% 54.39/34.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB123, constB124)) | (~v127(constB123, 2)) | v129(constB124, 2)),
% 54.39/34.60 inference(modus_ponens,[status(thm)],[21428, 21427])).
% 54.39/34.60 tff(21430,plain,
% 54.39/34.60 ((~v127(constB123, 2)) | v129(constB124, 2)),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21429, 1999, 21102])).
% 54.39/34.60 tff(21431,plain,
% 54.39/34.60 (~v127(constB123, 2)),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21430, 21426])).
% 54.39/34.60 tff(21432,plain,
% 54.39/34.60 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB123) | (~v130(constB123, 2)) | v127(constB123, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB123) | (~v130(constB123, 2)) | v127(constB123, 2))),
% 54.39/34.60 inference(rewrite,[status(thm)],[])).
% 54.39/34.60 tff(21433,plain,
% 54.39/34.60 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB123) | (~v130(constB123, 2)) | v127(constB123, 2))),
% 54.39/34.60 inference(quant_inst,[status(thm)],[])).
% 54.39/34.60 tff(21434,plain,
% 54.39/34.60 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB123) | (~v130(constB123, 2)) | v127(constB123, 2)),
% 54.39/34.60 inference(modus_ponens,[status(thm)],[21433, 21432])).
% 54.39/34.60 tff(21435,plain,
% 54.39/34.60 ((~v130(constB123, 2)) | v127(constB123, 2)),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21434, 1981, 21091])).
% 54.39/34.60 tff(21436,plain,
% 54.39/34.60 (~v130(constB123, 2)),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21435, 21431])).
% 54.39/34.60 tff(21437,plain,
% 54.39/34.60 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB123)) | v130(constB123, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB123)) | v130(constB123, 2))),
% 54.39/34.60 inference(rewrite,[status(thm)],[])).
% 54.39/34.60 tff(21438,plain,
% 54.39/34.60 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB123)) | v130(constB123, 2))),
% 54.39/34.60 inference(quant_inst,[status(thm)],[])).
% 54.39/34.60 tff(21439,plain,
% 54.39/34.60 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB123)) | v130(constB123, 2)),
% 54.39/34.60 inference(modus_ponens,[status(thm)],[21438, 21437])).
% 54.39/34.60 tff(21440,plain,
% 54.39/34.60 (~v124(constB123)),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21439, 2741, 21436])).
% 54.39/34.60 tff(21441,plain,
% 54.39/34.60 ((~v129(constB124, 0)) | (~v100(constB124))),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21389, 1377, 21325])).
% 54.39/34.60 tff(21442,plain,
% 54.39/34.60 (~v129(constB124, 0)),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21441, 21418])).
% 54.39/34.60 tff(21443,plain,
% 54.39/34.60 (~v127(constB123, 0)),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21382, 21442])).
% 54.39/34.60 tff(21444,plain,
% 54.39/34.60 (~v130(constB123, 0)),
% 54.39/34.60 inference(unit_resolution,[status(thm)],[21377, 21443])).
% 54.39/34.60 tff(21445,plain,
% 54.39/34.60 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB124, 1) | (~v129(constB124, 1)) | (~v100(constB124)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB124, 1) | (~v129(constB124, 1)) | (~v100(constB124)))),
% 54.39/34.60 inference(rewrite,[status(thm)],[])).
% 54.39/34.60 tff(21446,plain,
% 54.39/34.60 ((v90(constB124, 1) | (~v100(constB124)) | (~v129(constB124, 1))) <=> (v90(constB124, 1) | (~v129(constB124, 1)) | (~v100(constB124)))),
% 54.39/34.60 inference(rewrite,[status(thm)],[])).
% 54.39/34.60 tff(21447,plain,
% 54.39/34.60 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB124, 1) | (~v100(constB124)) | (~v129(constB124, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB124, 1) | (~v129(constB124, 1)) | (~v100(constB124))))),
% 54.39/34.61 inference(monotonicity,[status(thm)],[21446])).
% 54.39/34.61 tff(21448,plain,
% 54.39/34.61 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB124, 1) | (~v100(constB124)) | (~v129(constB124, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB124, 1) | (~v129(constB124, 1)) | (~v100(constB124)))),
% 54.39/34.61 inference(transitivity,[status(thm)],[21447, 21445])).
% 54.39/34.61 tff(21449,plain,
% 54.39/34.61 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB124, 1) | (~v100(constB124)) | (~v129(constB124, 1)))),
% 54.39/34.61 inference(quant_inst,[status(thm)],[])).
% 54.39/34.61 tff(21450,plain,
% 54.39/34.61 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB124, 1) | (~v129(constB124, 1)) | (~v100(constB124))),
% 54.39/34.61 inference(modus_ponens,[status(thm)],[21449, 21448])).
% 54.39/34.61 tff(21451,plain,
% 54.39/34.61 ((~v129(constB124, 1)) | (~v100(constB124))),
% 54.39/34.61 inference(unit_resolution,[status(thm)],[21450, 1623, 21340])).
% 54.39/34.61 tff(21452,plain,
% 54.39/34.61 (~v129(constB124, 1)),
% 54.39/34.61 inference(unit_resolution,[status(thm)],[21451, 21418])).
% 54.39/34.61 tff(21453,plain,
% 54.39/34.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB123, constB124)) | (~v127(constB123, 1)) | v129(constB124, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB123, constB124)) | (~v127(constB123, 1)) | v129(constB124, 1))),
% 54.39/34.61 inference(rewrite,[status(thm)],[])).
% 54.39/34.61 tff(21454,plain,
% 54.39/34.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB123, constB124)) | (~v127(constB123, 1)) | v129(constB124, 1))),
% 54.39/34.61 inference(quant_inst,[status(thm)],[])).
% 54.39/34.61 tff(21455,plain,
% 54.39/34.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB123, constB124)) | (~v127(constB123, 1)) | v129(constB124, 1)),
% 54.39/34.61 inference(modus_ponens,[status(thm)],[21454, 21453])).
% 54.39/34.61 tff(21456,plain,
% 54.39/34.61 ((~v127(constB123, 1)) | v129(constB124, 1)),
% 54.39/34.61 inference(unit_resolution,[status(thm)],[21455, 1608, 21102])).
% 54.39/34.61 tff(21457,plain,
% 54.39/34.61 (~v127(constB123, 1)),
% 54.39/34.61 inference(unit_resolution,[status(thm)],[21456, 21452])).
% 54.39/34.61 tff(21458,plain,
% 54.39/34.61 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB123) | (~v130(constB123, 1)) | v127(constB123, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB123) | (~v130(constB123, 1)) | v127(constB123, 1))),
% 54.39/34.61 inference(rewrite,[status(thm)],[])).
% 54.39/34.61 tff(21459,plain,
% 54.39/34.61 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB123) | (~v130(constB123, 1)) | v127(constB123, 1))),
% 54.39/34.61 inference(quant_inst,[status(thm)],[])).
% 54.39/34.61 tff(21460,plain,
% 54.39/34.61 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB123) | (~v130(constB123, 1)) | v127(constB123, 1)),
% 54.39/34.61 inference(modus_ponens,[status(thm)],[21459, 21458])).
% 54.39/34.61 tff(21461,plain,
% 54.39/34.61 ((~v130(constB123, 1)) | v127(constB123, 1)),
% 54.39/34.61 inference(unit_resolution,[status(thm)],[21460, 1593, 21091])).
% 54.39/34.61 tff(21462,plain,
% 54.39/34.61 (~v130(constB123, 1)),
% 54.39/34.61 inference(unit_resolution,[status(thm)],[21461, 21457])).
% 54.39/34.61 tff(21463,plain,
% 54.39/34.61 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB123)) | v130(constB123, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB123)) | v130(constB123, 1))),
% 54.39/34.61 inference(rewrite,[status(thm)],[])).
% 54.39/34.61 tff(21464,plain,
% 54.39/34.61 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB123)) | v130(constB123, 1))),
% 54.39/34.61 inference(quant_inst,[status(thm)],[])).
% 54.39/34.61 tff(21465,plain,
% 54.39/34.61 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB123)) | v130(constB123, 1)),
% 54.39/34.61 inference(modus_ponens,[status(thm)],[21464, 21463])).
% 54.39/34.61 tff(21466,plain,
% 54.39/34.61 (~v120(constB123)),
% 54.39/34.61 inference(unit_resolution,[status(thm)],[21465, 1579, 21462])).
% 54.39/34.61 tff(21467,plain,
% 54.39/34.61 (~v123(constB123)),
% 54.39/34.61 inference(unit_resolution,[status(thm)],[21180, 2622, 21444])).
% 54.39/34.61 tff(21468,plain,
% 54.39/34.61 (~v121(constB123)),
% 54.39/34.61 inference(unit_resolution,[status(thm)],[21188, 1915, 21444])).
% 54.39/34.61 tff(21469,plain,
% 54.39/34.61 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB123)) | v130(constB123, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB123)) | v130(constB123, 2))),
% 54.39/34.61 inference(rewrite,[status(thm)],[])).
% 54.39/34.61 tff(21470,plain,
% 54.39/34.61 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB123)) | v130(constB123, 2))),
% 54.39/34.61 inference(quant_inst,[status(thm)],[])).
% 54.39/34.61 tff(21471,plain,
% 54.39/34.61 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB123)) | v130(constB123, 2)),
% 54.39/34.61 inference(modus_ponens,[status(thm)],[21470, 21469])).
% 54.39/34.61 tff(21472,plain,
% 54.39/34.61 (~v122(constB123)),
% 54.39/34.61 inference(unit_resolution,[status(thm)],[21471, 1967, 21436])).
% 54.39/34.61 tff(21473,plain,
% 54.39/34.61 (~v119(constB123)),
% 54.39/34.61 inference(unit_resolution,[status(thm)],[21407, 21325])).
% 54.39/34.61 tff(21474,plain,
% 54.39/34.61 (v120(constB123) | v121(constB123) | v122(constB123) | v123(constB123) | v124(constB123) | v130(constB123, 0)),
% 54.39/34.61 inference(unit_resolution,[status(thm)],[21199, 3413, 21473])).
% 54.39/34.61 tff(21475,plain,
% 54.39/34.61 ($false),
% 54.39/34.61 inference(unit_resolution,[status(thm)],[21474, 21472, 21468, 21467, 21466, 21444, 21440])).
% 54.39/34.61 tff(21476,plain,(v90(constB125, 2) | v90(constB125, 0) | v121(constB125)), inference(lemma,lemma(discharge,[]))).
% 54.39/34.61 tff(21477,plain,
% 54.39/34.61 (v121(constB125)),
% 54.39/34.61 inference(unit_resolution,[status(thm)],[21476, 21305, 21275])).
% 54.39/34.61 tff(21478,plain,
% 54.39/34.61 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB125) | (~v121(constB125)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB125) | (~v121(constB125)))),
% 54.39/34.61 inference(rewrite,[status(thm)],[])).
% 54.39/34.61 tff(21479,plain,
% 54.39/34.61 (((~v121(constB125)) | v117(constB125)) <=> (v117(constB125) | (~v121(constB125)))),
% 54.39/34.61 inference(rewrite,[status(thm)],[])).
% 54.39/34.61 tff(21480,plain,
% 54.39/34.61 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB125)) | v117(constB125))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB125) | (~v121(constB125))))),
% 54.39/34.61 inference(monotonicity,[status(thm)],[21479])).
% 54.39/34.61 tff(21481,plain,
% 54.39/34.61 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB125)) | v117(constB125))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB125) | (~v121(constB125)))),
% 54.39/34.61 inference(transitivity,[status(thm)],[21480, 21478])).
% 54.39/34.61 tff(21482,plain,
% 54.39/34.61 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB125)) | v117(constB125))),
% 54.39/34.61 inference(quant_inst,[status(thm)],[])).
% 54.39/34.61 tff(21483,plain,
% 54.39/34.61 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB125) | (~v121(constB125))),
% 54.39/34.61 inference(modus_ponens,[status(thm)],[21482, 21481])).
% 54.39/34.61 tff(21484,plain,
% 54.39/34.61 (v117(constB125)),
% 54.39/34.61 inference(unit_resolution,[status(thm)],[21483, 1742, 21477])).
% 54.39/34.61 tff(21485,plain,
% 54.39/34.61 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB125) | (~v117(constB125)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB125) | (~v117(constB125)))),
% 54.39/34.61 inference(rewrite,[status(thm)],[])).
% 54.39/34.61 tff(21486,plain,
% 54.39/34.61 (((~v117(constB125)) | v116(constB125)) <=> (v116(constB125) | (~v117(constB125)))),
% 54.39/34.61 inference(rewrite,[status(thm)],[])).
% 54.39/34.61 tff(21487,plain,
% 54.39/34.61 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB125)) | v116(constB125))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB125) | (~v117(constB125))))),
% 54.39/34.61 inference(monotonicity,[status(thm)],[21486])).
% 54.39/34.61 tff(21488,plain,
% 54.39/34.61 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB125)) | v116(constB125))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB125) | (~v117(constB125)))),
% 54.39/34.61 inference(transitivity,[status(thm)],[21487, 21485])).
% 54.39/34.61 tff(21489,plain,
% 54.39/34.61 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB125)) | v116(constB125))),
% 54.39/34.61 inference(quant_inst,[status(thm)],[])).
% 54.39/34.61 tff(21490,plain,
% 54.39/34.61 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB125) | (~v117(constB125))),
% 54.39/34.61 inference(modus_ponens,[status(thm)],[21489, 21488])).
% 54.39/34.61 tff(21491,plain,
% 54.39/34.61 (v116(constB125)),
% 54.39/34.61 inference(unit_resolution,[status(thm)],[21490, 1007, 21484])).
% 54.39/34.61 tff(21492,plain,
% 54.39/34.61 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB125) | (~v116(constB125)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB125) | (~v116(constB125)))),
% 54.39/34.61 inference(rewrite,[status(thm)],[])).
% 54.39/34.61 tff(21493,plain,
% 54.39/34.61 (((~v116(constB125)) | v115(constB125)) <=> (v115(constB125) | (~v116(constB125)))),
% 54.39/34.61 inference(rewrite,[status(thm)],[])).
% 54.39/34.61 tff(21494,plain,
% 54.39/34.61 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB125)) | v115(constB125))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB125) | (~v116(constB125))))),
% 54.39/34.61 inference(monotonicity,[status(thm)],[21493])).
% 54.39/34.61 tff(21495,plain,
% 54.39/34.61 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB125)) | v115(constB125))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB125) | (~v116(constB125)))),
% 54.39/34.61 inference(transitivity,[status(thm)],[21494, 21492])).
% 54.39/34.61 tff(21496,plain,
% 54.39/34.61 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB125)) | v115(constB125))),
% 54.39/34.61 inference(quant_inst,[status(thm)],[])).
% 54.39/34.61 tff(21497,plain,
% 54.39/34.61 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB125) | (~v116(constB125))),
% 54.39/34.61 inference(modus_ponens,[status(thm)],[21496, 21495])).
% 54.39/34.61 tff(21498,plain,
% 54.39/34.61 (v115(constB125)),
% 54.39/34.61 inference(unit_resolution,[status(thm)],[21497, 1021, 21491])).
% 54.39/34.61 tff(21499,plain,
% 54.39/34.61 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB125) | (~v115(constB125)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB125) | (~v115(constB125)))),
% 54.39/34.61 inference(rewrite,[status(thm)],[])).
% 54.39/34.61 tff(21500,plain,
% 54.39/34.61 (((~v115(constB125)) | v114(constB125)) <=> (v114(constB125) | (~v115(constB125)))),
% 54.39/34.61 inference(rewrite,[status(thm)],[])).
% 54.39/34.61 tff(21501,plain,
% 54.39/34.61 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB125)) | v114(constB125))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB125) | (~v115(constB125))))),
% 54.39/34.61 inference(monotonicity,[status(thm)],[21500])).
% 54.39/34.61 tff(21502,plain,
% 54.39/34.61 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB125)) | v114(constB125))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB125) | (~v115(constB125)))),
% 54.39/34.61 inference(transitivity,[status(thm)],[21501, 21499])).
% 54.39/34.61 tff(21503,plain,
% 54.39/34.61 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB125)) | v114(constB125))),
% 54.39/34.61 inference(quant_inst,[status(thm)],[])).
% 54.39/34.61 tff(21504,plain,
% 54.39/34.61 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB125) | (~v115(constB125))),
% 54.39/34.61 inference(modus_ponens,[status(thm)],[21503, 21502])).
% 54.39/34.61 tff(21505,plain,
% 54.39/34.61 (v114(constB125)),
% 54.39/34.61 inference(unit_resolution,[status(thm)],[21504, 1035, 21498])).
% 54.39/34.61 tff(21506,plain,
% 54.39/34.61 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB125) | (~v114(constB125)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB125) | (~v114(constB125)))),
% 54.39/34.61 inference(rewrite,[status(thm)],[])).
% 54.39/34.61 tff(21507,plain,
% 54.39/34.61 (((~v114(constB125)) | v113(constB125)) <=> (v113(constB125) | (~v114(constB125)))),
% 54.39/34.61 inference(rewrite,[status(thm)],[])).
% 54.39/34.61 tff(21508,plain,
% 54.39/34.61 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB125)) | v113(constB125))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB125) | (~v114(constB125))))),
% 54.39/34.61 inference(monotonicity,[status(thm)],[21507])).
% 54.39/34.61 tff(21509,plain,
% 54.39/34.61 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB125)) | v113(constB125))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB125) | (~v114(constB125)))),
% 54.39/34.61 inference(transitivity,[status(thm)],[21508, 21506])).
% 54.39/34.61 tff(21510,plain,
% 54.39/34.61 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB125)) | v113(constB125))),
% 54.39/34.61 inference(quant_inst,[status(thm)],[])).
% 54.39/34.61 tff(21511,plain,
% 54.39/34.61 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB125) | (~v114(constB125))),
% 54.39/34.61 inference(modus_ponens,[status(thm)],[21510, 21509])).
% 54.39/34.61 tff(21512,plain,
% 54.39/34.61 (v113(constB125)),
% 54.39/34.61 inference(unit_resolution,[status(thm)],[21511, 1049, 21505])).
% 54.39/34.61 tff(21513,assumption,(~v108(constB125)), introduced(assumption)).
% 54.39/34.61 tff(21514,plain,
% 54.39/34.61 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB125) | (~v112(constB125)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB125) | (~v112(constB125)))),
% 54.39/34.61 inference(rewrite,[status(thm)],[])).
% 54.39/34.61 tff(21515,plain,
% 54.39/34.61 (((~v112(constB125)) | v108(constB125)) <=> (v108(constB125) | (~v112(constB125)))),
% 54.39/34.61 inference(rewrite,[status(thm)],[])).
% 54.39/34.61 tff(21516,plain,
% 54.39/34.61 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB125)) | v108(constB125))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB125) | (~v112(constB125))))),
% 54.39/34.61 inference(monotonicity,[status(thm)],[21515])).
% 54.39/34.61 tff(21517,plain,
% 54.39/34.61 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB125)) | v108(constB125))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB125) | (~v112(constB125)))),
% 54.39/34.61 inference(transitivity,[status(thm)],[21516, 21514])).
% 54.39/34.61 tff(21518,plain,
% 54.39/34.61 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB125)) | v108(constB125))),
% 54.39/34.61 inference(quant_inst,[status(thm)],[])).
% 54.39/34.61 tff(21519,plain,
% 54.39/34.61 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB125) | (~v112(constB125))),
% 54.39/34.61 inference(modus_ponens,[status(thm)],[21518, 21517])).
% 54.39/34.61 tff(21520,plain,
% 54.39/34.61 (~v112(constB125)),
% 54.39/34.61 inference(unit_resolution,[status(thm)],[21519, 1075, 21513])).
% 54.39/34.61 tff(21521,plain,
% 54.39/34.61 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB125) | (~v26(constB125)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB125) | (~v26(constB125)))),
% 54.39/34.61 inference(rewrite,[status(thm)],[])).
% 54.39/34.61 tff(21522,plain,
% 54.39/34.61 (((~v26(constB125)) | v108(constB125)) <=> (v108(constB125) | (~v26(constB125)))),
% 54.39/34.61 inference(rewrite,[status(thm)],[])).
% 54.39/34.61 tff(21523,plain,
% 54.39/34.61 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB125)) | v108(constB125))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB125) | (~v26(constB125))))),
% 54.39/34.61 inference(monotonicity,[status(thm)],[21522])).
% 54.39/34.61 tff(21524,plain,
% 54.39/34.61 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB125)) | v108(constB125))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB125) | (~v26(constB125)))),
% 54.39/34.61 inference(transitivity,[status(thm)],[21523, 21521])).
% 54.39/34.61 tff(21525,plain,
% 54.39/34.61 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB125)) | v108(constB125))),
% 54.39/34.61 inference(quant_inst,[status(thm)],[])).
% 54.39/34.61 tff(21526,plain,
% 54.39/34.61 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB125) | (~v26(constB125))),
% 54.39/34.61 inference(modus_ponens,[status(thm)],[21525, 21524])).
% 54.39/34.61 tff(21527,plain,
% 54.39/34.61 (~v26(constB125)),
% 54.39/34.61 inference(unit_resolution,[status(thm)],[21526, 2050, 21513])).
% 54.39/34.61 tff(21528,assumption,(v113(constB125)), introduced(assumption)).
% 54.39/34.61 tff(21529,plain,
% 54.39/34.61 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB125) | v112(constB125) | (~v113(constB125)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB125) | v112(constB125) | (~v113(constB125)))),
% 54.39/34.61 inference(rewrite,[status(thm)],[])).
% 54.39/34.61 tff(21530,plain,
% 54.39/34.61 ((v26(constB125) | (~v113(constB125)) | v112(constB125)) <=> (v26(constB125) | v112(constB125) | (~v113(constB125)))),
% 54.39/34.61 inference(rewrite,[status(thm)],[])).
% 54.39/34.61 tff(21531,plain,
% 54.39/34.61 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB125) | (~v113(constB125)) | v112(constB125))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB125) | v112(constB125) | (~v113(constB125))))),
% 54.39/34.61 inference(monotonicity,[status(thm)],[21530])).
% 54.39/34.61 tff(21532,plain,
% 54.39/34.61 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB125) | (~v113(constB125)) | v112(constB125))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB125) | v112(constB125) | (~v113(constB125)))),
% 54.39/34.61 inference(transitivity,[status(thm)],[21531, 21529])).
% 54.39/34.61 tff(21533,plain,
% 54.39/34.61 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB125) | (~v113(constB125)) | v112(constB125))),
% 54.39/34.61 inference(quant_inst,[status(thm)],[])).
% 54.39/34.61 tff(21534,plain,
% 54.39/34.61 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB125) | v112(constB125) | (~v113(constB125))),
% 54.39/34.61 inference(modus_ponens,[status(thm)],[21533, 21532])).
% 54.39/34.61 tff(21535,plain,
% 54.39/34.61 (v26(constB125) | v112(constB125)),
% 54.39/34.61 inference(unit_resolution,[status(thm)],[21534, 1063, 21528])).
% 54.39/34.61 tff(21536,plain,
% 54.39/34.61 ($false),
% 54.39/34.61 inference(unit_resolution,[status(thm)],[21535, 21527, 21520])).
% 54.39/34.61 tff(21537,plain,(v108(constB125) | (~v113(constB125))), inference(lemma,lemma(discharge,[]))).
% 54.39/34.61 tff(21538,plain,
% 54.39/34.61 (v108(constB125)),
% 54.39/34.61 inference(unit_resolution,[status(thm)],[21537, 21512])).
% 54.39/34.61 tff(21539,plain,
% 54.39/34.61 (nextState(constB125, constB126) <=> nextState(constB125, constB126)),
% 54.39/34.61 inference(rewrite,[status(thm)],[])).
% 54.39/34.61 tff(21540,axiom,(nextState(constB125, constB126)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_125_1')).
% 54.39/34.61 tff(21541,plain,
% 54.39/34.61 (nextState(constB125, constB126)),
% 54.39/34.61 inference(modus_ponens,[status(thm)],[21540, 21539])).
% 54.39/34.61 tff(21542,plain,
% 54.39/34.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125)))),
% 54.39/34.61 inference(rewrite,[status(thm)],[])).
% 54.39/34.61 tff(21543,plain,
% 54.39/34.61 (((~nextState(constB125, constB126)) | (~v108(constB125)) | v110(constB126)) <=> ((~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125)))),
% 54.39/34.61 inference(rewrite,[status(thm)],[])).
% 54.39/34.61 tff(21544,plain,
% 54.39/34.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB125, constB126)) | (~v108(constB125)) | v110(constB126))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125))))),
% 54.39/34.61 inference(monotonicity,[status(thm)],[21543])).
% 54.39/34.61 tff(21545,plain,
% 54.39/34.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB125, constB126)) | (~v108(constB125)) | v110(constB126))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125)))),
% 54.39/34.61 inference(transitivity,[status(thm)],[21544, 21542])).
% 54.39/34.61 tff(21546,plain,
% 54.39/34.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB125, constB126)) | (~v108(constB125)) | v110(constB126))),
% 54.39/34.61 inference(quant_inst,[status(thm)],[])).
% 54.39/34.61 tff(21547,plain,
% 54.39/34.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB125, constB126)) | v110(constB126) | (~v108(constB125))),
% 54.39/34.61 inference(modus_ponens,[status(thm)],[21546, 21545])).
% 54.39/34.61 tff(21548,plain,
% 54.39/34.61 (v110(constB126) | (~v108(constB125))),
% 54.39/34.61 inference(unit_resolution,[status(thm)],[21547, 1095, 21541])).
% 54.39/34.61 tff(21549,plain,
% 54.39/34.61 (v110(constB126)),
% 54.39/34.61 inference(unit_resolution,[status(thm)],[21548, 21538])).
% 54.39/34.61 tff(21550,plain,
% 54.39/34.61 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB125) | (~nextState(constB125, constB126)) | (~v104(constB126)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB125) | (~nextState(constB125, constB126)) | (~v104(constB126)))),
% 54.39/34.61 inference(rewrite,[status(thm)],[])).
% 54.39/34.61 tff(21551,plain,
% 54.39/34.61 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB125) | (~nextState(constB125, constB126)) | (~v104(constB126)))),
% 54.39/34.61 inference(quant_inst,[status(thm)],[])).
% 54.39/34.61 tff(21552,plain,
% 54.39/34.61 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB125) | (~nextState(constB125, constB126)) | (~v104(constB126))),
% 54.39/34.61 inference(modus_ponens,[status(thm)],[21551, 21550])).
% 54.39/34.61 tff(21553,plain,
% 54.39/34.61 (~v104(constB126)),
% 54.39/34.61 inference(unit_resolution,[status(thm)],[21552, 1113, 21541, 21251])).
% 54.39/34.61 tff(21554,plain,
% 54.39/34.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB125, constB126)) | v102(constB126) | v104(constB126))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB125, constB126)) | v102(constB126) | v104(constB126))),
% 54.39/34.61 inference(rewrite,[status(thm)],[])).
% 54.39/34.61 tff(21555,plain,
% 54.39/34.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB125, constB126)) | v102(constB126) | v104(constB126))),
% 54.39/34.61 inference(quant_inst,[status(thm)],[])).
% 54.39/34.61 tff(21556,plain,
% 54.39/34.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB125, constB126)) | v102(constB126) | v104(constB126)),
% 54.39/34.61 inference(modus_ponens,[status(thm)],[21555, 21554])).
% 54.39/34.61 tff(21557,plain,
% 54.39/34.61 (v102(constB126) | v104(constB126)),
% 54.39/34.61 inference(unit_resolution,[status(thm)],[21556, 1127, 21541])).
% 54.39/34.61 tff(21558,plain,
% 54.39/34.61 (v102(constB126)),
% 54.39/34.61 inference(unit_resolution,[status(thm)],[21557, 21553])).
% 54.39/34.61 tff(21559,plain,
% 54.39/34.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB125, constB126)) | v101(constB126) | (~v102(constB126)) | (~v1(constB126)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB125, constB126)) | v101(constB126) | (~v102(constB126)) | (~v1(constB126)))),
% 54.39/34.61 inference(rewrite,[status(thm)],[])).
% 54.39/34.61 tff(21560,plain,
% 54.39/34.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB125, constB126)) | v101(constB126) | (~v102(constB126)) | (~v1(constB126)))),
% 54.39/34.61 inference(quant_inst,[status(thm)],[])).
% 54.39/34.61 tff(21561,plain,
% 54.39/34.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB125, constB126)) | v101(constB126) | (~v102(constB126)) | (~v1(constB126))),
% 54.39/34.61 inference(modus_ponens,[status(thm)],[21560, 21559])).
% 54.39/34.61 tff(21562,plain,
% 54.39/34.61 (v101(constB126) | (~v102(constB126))),
% 54.39/34.61 inference(unit_resolution,[status(thm)],[21561, 1145, 21541, 101])).
% 54.39/34.61 tff(21563,plain,
% 54.39/34.61 (v101(constB126)),
% 54.39/34.61 inference(unit_resolution,[status(thm)],[21562, 21558])).
% 54.39/34.61 tff(21564,plain,
% 54.39/34.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126)))),
% 54.39/34.61 inference(rewrite,[status(thm)],[])).
% 54.39/34.61 tff(21565,plain,
% 54.39/34.61 (((~nextState(constB125, constB126)) | (~v101(constB126)) | (~v110(constB126)) | v100(constB126)) <=> ((~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126)))),
% 54.39/34.61 inference(rewrite,[status(thm)],[])).
% 54.39/34.61 tff(21566,plain,
% 54.39/34.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB125, constB126)) | (~v101(constB126)) | (~v110(constB126)) | v100(constB126))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126))))),
% 54.39/34.61 inference(monotonicity,[status(thm)],[21565])).
% 54.39/34.61 tff(21567,plain,
% 54.39/34.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB125, constB126)) | (~v101(constB126)) | (~v110(constB126)) | v100(constB126))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126)))),
% 54.39/34.61 inference(transitivity,[status(thm)],[21566, 21564])).
% 54.39/34.61 tff(21568,plain,
% 54.39/34.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB125, constB126)) | (~v101(constB126)) | (~v110(constB126)) | v100(constB126))),
% 54.39/34.61 inference(quant_inst,[status(thm)],[])).
% 54.39/34.61 tff(21569,plain,
% 54.39/34.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB125, constB126)) | v100(constB126) | (~v101(constB126)) | (~v110(constB126))),
% 54.39/34.61 inference(modus_ponens,[status(thm)],[21568, 21567])).
% 54.39/34.61 tff(21570,plain,
% 54.39/34.61 (v100(constB126) | (~v101(constB126)) | (~v110(constB126))),
% 54.39/34.61 inference(unit_resolution,[status(thm)],[21569, 1160, 21541])).
% 54.39/34.61 tff(21571,plain,
% 54.39/34.61 (v100(constB126) | (~v110(constB126))),
% 54.39/34.61 inference(unit_resolution,[status(thm)],[21570, 21563])).
% 54.39/34.61 tff(21572,plain,
% 54.39/34.61 (v100(constB126)),
% 54.39/34.61 inference(unit_resolution,[status(thm)],[21571, 21549])).
% 54.39/34.61 tff(21573,plain,
% 54.39/34.61 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB125)) | (~v130(constB125, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB125)) | (~v130(constB125, 2)))),
% 54.39/34.61 inference(rewrite,[status(thm)],[])).
% 54.39/34.61 tff(21574,plain,
% 54.39/34.61 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB125)) | (~v130(constB125, 2)))),
% 54.39/34.61 inference(quant_inst,[status(thm)],[])).
% 54.39/34.61 tff(21575,plain,
% 54.39/34.61 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB125)) | (~v130(constB125, 2))),
% 54.39/34.61 inference(modus_ponens,[status(thm)],[21574, 21573])).
% 54.39/34.61 tff(21576,plain,
% 54.39/34.61 (~v130(constB125, 2)),
% 54.39/34.61 inference(unit_resolution,[status(thm)],[21575, 1821, 21477])).
% 54.39/34.61 tff(21577,assumption,(v26(constB125)), introduced(assumption)).
% 54.39/34.61 tff(21578,plain,
% 54.39/34.61 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB125))),
% 54.39/34.61 inference(quant_inst,[status(thm)],[])).
% 54.39/34.61 tff(21579,plain,
% 54.39/34.61 ($false),
% 54.39/34.61 inference(unit_resolution,[status(thm)],[21578, 828, 21577])).
% 54.39/34.61 tff(21580,plain,(~v26(constB125)), inference(lemma,lemma(discharge,[]))).
% 54.39/34.61 tff(21581,plain,
% 54.39/34.61 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB125, 2)) | v26(constB125) | v130(constB125, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB125, 2)) | v26(constB125) | v130(constB125, 2))),
% 54.39/34.61 inference(rewrite,[status(thm)],[])).
% 54.39/34.61 tff(21582,plain,
% 54.39/34.61 ((v26(constB125) | v130(constB125, 2) | (~v127(constB125, 2))) <=> ((~v127(constB125, 2)) | v26(constB125) | v130(constB125, 2))),
% 54.39/34.61 inference(rewrite,[status(thm)],[])).
% 54.39/34.61 tff(21583,plain,
% 54.39/34.61 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB125) | v130(constB125, 2) | (~v127(constB125, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB125, 2)) | v26(constB125) | v130(constB125, 2)))),
% 54.39/34.61 inference(monotonicity,[status(thm)],[21582])).
% 54.39/34.61 tff(21584,plain,
% 54.39/34.61 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB125) | v130(constB125, 2) | (~v127(constB125, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB125, 2)) | v26(constB125) | v130(constB125, 2))),
% 54.39/34.61 inference(transitivity,[status(thm)],[21583, 21581])).
% 54.39/34.61 tff(21585,plain,
% 54.39/34.61 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB125) | v130(constB125, 2) | (~v127(constB125, 2)))),
% 54.39/34.61 inference(quant_inst,[status(thm)],[])).
% 54.39/34.61 tff(21586,plain,
% 54.39/34.61 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB125, 2)) | v26(constB125) | v130(constB125, 2)),
% 54.39/34.61 inference(modus_ponens,[status(thm)],[21585, 21584])).
% 54.39/34.61 tff(21587,plain,
% 54.39/34.61 ((~v127(constB125, 2)) | v130(constB125, 2)),
% 54.39/34.61 inference(unit_resolution,[status(thm)],[21586, 1190, 21580])).
% 54.39/34.61 tff(21588,plain,
% 54.39/34.61 (~v127(constB125, 2)),
% 54.39/34.61 inference(unit_resolution,[status(thm)],[21587, 21576])).
% 54.39/34.61 tff(21589,plain,
% 54.39/34.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB125, constB126)) | v127(constB125, 2) | (~v129(constB126, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB125, constB126)) | v127(constB125, 2) | (~v129(constB126, 2)))),
% 54.39/34.61 inference(rewrite,[status(thm)],[])).
% 54.39/34.61 tff(21590,plain,
% 54.39/34.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB125, constB126)) | v127(constB125, 2) | (~v129(constB126, 2)))),
% 54.39/34.61 inference(quant_inst,[status(thm)],[])).
% 54.39/34.61 tff(21591,plain,
% 54.39/34.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB125, constB126)) | v127(constB125, 2) | (~v129(constB126, 2))),
% 54.39/34.61 inference(modus_ponens,[status(thm)],[21590, 21589])).
% 54.39/34.61 tff(21592,plain,
% 54.39/34.61 (v127(constB125, 2) | (~v129(constB126, 2))),
% 54.39/34.61 inference(unit_resolution,[status(thm)],[21591, 1208, 21541])).
% 54.39/34.61 tff(21593,plain,
% 54.39/34.61 (~v129(constB126, 2)),
% 54.39/34.61 inference(unit_resolution,[status(thm)],[21592, 21588])).
% 54.39/34.61 tff(21594,plain,
% 54.39/34.61 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB126, 2)) | v129(constB126, 2) | (~v100(constB126)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB126, 2)) | v129(constB126, 2) | (~v100(constB126)))),
% 54.39/34.61 inference(rewrite,[status(thm)],[])).
% 54.39/34.61 tff(21595,plain,
% 54.39/34.61 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB126, 2)) | v129(constB126, 2) | (~v100(constB126)))),
% 54.39/34.61 inference(quant_inst,[status(thm)],[])).
% 54.39/34.61 tff(21596,plain,
% 54.39/34.61 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB126, 2)) | v129(constB126, 2) | (~v100(constB126))),
% 54.39/34.61 inference(modus_ponens,[status(thm)],[21595, 21594])).
% 54.39/34.61 tff(21597,plain,
% 54.39/34.61 ((~v90(constB126, 2)) | (~v100(constB126))),
% 54.39/34.61 inference(unit_resolution,[status(thm)],[21596, 1223, 21593])).
% 54.39/34.61 tff(21598,plain,
% 54.39/34.61 (~v90(constB126, 2)),
% 54.39/34.61 inference(unit_resolution,[status(thm)],[21597, 21572])).
% 54.39/34.61 tff(21599,plain,
% 54.39/34.61 ((~v1(constB127)) <=> (~v1(constB127))),
% 54.39/34.61 inference(rewrite,[status(thm)],[])).
% 54.39/34.61 tff(21600,axiom,(~v1(constB127)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_127_1_1')).
% 54.39/34.61 tff(21601,plain,
% 54.39/34.61 (~v1(constB127)),
% 54.39/34.61 inference(modus_ponens,[status(thm)],[21600, 21599])).
% 54.39/34.61 tff(21602,plain,
% 54.39/34.61 (nextState(constB126, constB127) <=> nextState(constB126, constB127)),
% 54.39/34.61 inference(rewrite,[status(thm)],[])).
% 54.39/34.61 tff(21603,axiom,(nextState(constB126, constB127)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_126_1')).
% 54.39/34.61 tff(21604,plain,
% 54.39/34.61 (nextState(constB126, constB127)),
% 54.39/34.61 inference(modus_ponens,[status(thm)],[21603, 21602])).
% 54.39/34.61 tff(21605,plain,
% 54.39/34.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127)))),
% 54.39/34.61 inference(rewrite,[status(thm)],[])).
% 54.39/34.61 tff(21606,plain,
% 54.39/34.61 (((~nextState(constB126, constB127)) | (~v101(constB127)) | v1(constB127)) <=> (v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127)))),
% 54.39/34.61 inference(rewrite,[status(thm)],[])).
% 54.39/34.61 tff(21607,plain,
% 54.39/34.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB126, constB127)) | (~v101(constB127)) | v1(constB127))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127))))),
% 54.39/34.61 inference(monotonicity,[status(thm)],[21606])).
% 54.39/34.61 tff(21608,plain,
% 54.39/34.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB126, constB127)) | (~v101(constB127)) | v1(constB127))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127)))),
% 54.39/34.61 inference(transitivity,[status(thm)],[21607, 21605])).
% 54.39/34.61 tff(21609,plain,
% 54.39/34.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB126, constB127)) | (~v101(constB127)) | v1(constB127))),
% 54.39/34.61 inference(quant_inst,[status(thm)],[])).
% 54.39/34.61 tff(21610,plain,
% 54.39/34.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB127) | (~nextState(constB126, constB127)) | (~v101(constB127))),
% 54.39/34.61 inference(modus_ponens,[status(thm)],[21609, 21608])).
% 54.39/34.61 tff(21611,plain,
% 54.39/34.61 (~v101(constB127)),
% 54.39/34.61 inference(unit_resolution,[status(thm)],[21610, 873, 21604, 21601])).
% 54.39/34.61 tff(21612,plain,
% 54.39/34.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB126, constB127)) | v101(constB127) | (~v100(constB127)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB126, constB127)) | v101(constB127) | (~v100(constB127)))),
% 54.39/34.61 inference(rewrite,[status(thm)],[])).
% 54.39/34.61 tff(21613,plain,
% 54.39/34.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB126, constB127)) | v101(constB127) | (~v100(constB127)))),
% 54.39/34.61 inference(quant_inst,[status(thm)],[])).
% 54.39/34.61 tff(21614,plain,
% 54.39/34.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB126, constB127)) | v101(constB127) | (~v100(constB127))),
% 54.39/34.61 inference(modus_ponens,[status(thm)],[21613, 21612])).
% 54.39/34.61 tff(21615,plain,
% 54.39/34.61 (v101(constB127) | (~v100(constB127))),
% 54.39/34.61 inference(unit_resolution,[status(thm)],[21614, 890, 21604])).
% 54.39/34.61 tff(21616,plain,
% 54.39/34.61 (~v100(constB127)),
% 54.39/34.61 inference(unit_resolution,[status(thm)],[21615, 21611])).
% 54.39/34.61 tff(21617,plain,
% 54.39/34.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB126, 2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB126, 2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, 2)))),
% 54.39/34.61 inference(rewrite,[status(thm)],[])).
% 54.39/34.61 tff(21618,plain,
% 54.39/34.61 (((~nextState(constB126, constB127)) | v90(constB126, 2) | v100(constB127) | (~v90(constB127, 2))) <=> (v90(constB126, 2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, 2)))),
% 54.39/34.61 inference(rewrite,[status(thm)],[])).
% 54.39/34.61 tff(21619,plain,
% 54.39/34.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB126, constB127)) | v90(constB126, 2) | v100(constB127) | (~v90(constB127, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB126, 2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, 2))))),
% 54.39/34.61 inference(monotonicity,[status(thm)],[21618])).
% 54.39/34.61 tff(21620,plain,
% 54.39/34.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB126, constB127)) | v90(constB126, 2) | v100(constB127) | (~v90(constB127, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB126, 2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, 2)))),
% 54.39/34.61 inference(transitivity,[status(thm)],[21619, 21617])).
% 54.39/34.61 tff(21621,plain,
% 54.39/34.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB126, constB127)) | v90(constB126, 2) | v100(constB127) | (~v90(constB127, 2)))),
% 54.39/34.61 inference(quant_inst,[status(thm)],[])).
% 54.39/34.61 tff(21622,plain,
% 54.39/34.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB126, 2) | (~nextState(constB126, constB127)) | v100(constB127) | (~v90(constB127, 2))),
% 54.39/34.61 inference(modus_ponens,[status(thm)],[21621, 21620])).
% 54.39/34.61 tff(21623,plain,
% 54.39/34.61 (v90(constB126, 2) | v100(constB127) | (~v90(constB127, 2))),
% 54.39/34.61 inference(unit_resolution,[status(thm)],[21622, 905, 21604])).
% 54.39/34.61 tff(21624,plain,
% 54.39/34.61 (v90(constB126, 2) | (~v90(constB127, 2))),
% 54.39/34.61 inference(unit_resolution,[status(thm)],[21623, 21616])).
% 54.39/34.61 tff(21625,plain,
% 54.39/34.61 (~v90(constB127, 2)),
% 54.39/34.61 inference(unit_resolution,[status(thm)],[21624, 21598])).
% 54.39/34.61 tff(21626,plain,
% 54.39/34.61 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB125)) | v130(constB125, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB125)) | v130(constB125, 1))),
% 54.39/34.61 inference(rewrite,[status(thm)],[])).
% 54.39/34.61 tff(21627,plain,
% 54.39/34.61 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB125)) | v130(constB125, 1))),
% 54.39/34.61 inference(quant_inst,[status(thm)],[])).
% 54.39/34.61 tff(21628,plain,
% 54.39/34.61 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB125)) | v130(constB125, 1)),
% 54.39/34.61 inference(modus_ponens,[status(thm)],[21627, 21626])).
% 54.39/34.61 tff(21629,plain,
% 54.39/34.61 (v130(constB125, 1)),
% 54.39/34.61 inference(unit_resolution,[status(thm)],[21628, 1877, 21477])).
% 54.39/34.61 tff(21630,plain,
% 54.39/34.61 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB125) | (~v130(constB125, 1)) | v127(constB125, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB125) | (~v130(constB125, 1)) | v127(constB125, 1))),
% 54.39/34.61 inference(rewrite,[status(thm)],[])).
% 54.39/34.61 tff(21631,plain,
% 54.39/34.61 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB125) | (~v130(constB125, 1)) | v127(constB125, 1))),
% 54.39/34.61 inference(quant_inst,[status(thm)],[])).
% 54.39/34.61 tff(21632,plain,
% 54.39/34.61 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB125) | (~v130(constB125, 1)) | v127(constB125, 1)),
% 54.39/34.61 inference(modus_ponens,[status(thm)],[21631, 21630])).
% 54.39/34.61 tff(21633,plain,
% 54.39/34.61 ((~v130(constB125, 1)) | v127(constB125, 1)),
% 54.39/34.61 inference(unit_resolution,[status(thm)],[21632, 1593, 21580])).
% 54.39/34.61 tff(21634,plain,
% 54.39/34.61 (v127(constB125, 1)),
% 54.39/34.61 inference(unit_resolution,[status(thm)],[21633, 21629])).
% 54.39/34.61 tff(21635,plain,
% 54.39/34.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB125, constB126)) | (~v127(constB125, 1)) | v129(constB126, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB125, constB126)) | (~v127(constB125, 1)) | v129(constB126, 1))),
% 54.39/34.61 inference(rewrite,[status(thm)],[])).
% 54.39/34.61 tff(21636,plain,
% 54.39/34.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB125, constB126)) | (~v127(constB125, 1)) | v129(constB126, 1))),
% 54.39/34.61 inference(quant_inst,[status(thm)],[])).
% 54.39/34.61 tff(21637,plain,
% 54.39/34.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB125, constB126)) | (~v127(constB125, 1)) | v129(constB126, 1)),
% 54.39/34.61 inference(modus_ponens,[status(thm)],[21636, 21635])).
% 54.39/34.61 tff(21638,plain,
% 54.39/34.61 ((~v127(constB125, 1)) | v129(constB126, 1)),
% 54.39/34.61 inference(unit_resolution,[status(thm)],[21637, 1608, 21541])).
% 54.39/34.61 tff(21639,plain,
% 54.39/34.61 (v129(constB126, 1)),
% 54.39/34.61 inference(unit_resolution,[status(thm)],[21638, 21634])).
% 54.39/34.61 tff(21640,plain,
% 54.39/34.61 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB126, 1) | (~v129(constB126, 1)) | (~v100(constB126)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB126, 1) | (~v129(constB126, 1)) | (~v100(constB126)))),
% 54.39/34.61 inference(rewrite,[status(thm)],[])).
% 54.39/34.61 tff(21641,plain,
% 54.39/34.61 ((v90(constB126, 1) | (~v100(constB126)) | (~v129(constB126, 1))) <=> (v90(constB126, 1) | (~v129(constB126, 1)) | (~v100(constB126)))),
% 54.39/34.61 inference(rewrite,[status(thm)],[])).
% 54.39/34.61 tff(21642,plain,
% 54.39/34.61 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB126, 1) | (~v100(constB126)) | (~v129(constB126, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB126, 1) | (~v129(constB126, 1)) | (~v100(constB126))))),
% 54.39/34.61 inference(monotonicity,[status(thm)],[21641])).
% 54.39/34.61 tff(21643,plain,
% 54.39/34.61 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB126, 1) | (~v100(constB126)) | (~v129(constB126, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB126, 1) | (~v129(constB126, 1)) | (~v100(constB126)))),
% 54.39/34.61 inference(transitivity,[status(thm)],[21642, 21640])).
% 54.39/34.62 tff(21644,plain,
% 54.39/34.62 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB126, 1) | (~v100(constB126)) | (~v129(constB126, 1)))),
% 54.39/34.62 inference(quant_inst,[status(thm)],[])).
% 54.39/34.62 tff(21645,plain,
% 54.39/34.62 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB126, 1) | (~v129(constB126, 1)) | (~v100(constB126))),
% 54.39/34.62 inference(modus_ponens,[status(thm)],[21644, 21643])).
% 54.39/34.62 tff(21646,plain,
% 54.39/34.62 (v90(constB126, 1) | (~v100(constB126))),
% 54.39/34.62 inference(unit_resolution,[status(thm)],[21645, 1623, 21639])).
% 54.39/34.62 tff(21647,plain,
% 54.39/34.62 (v90(constB126, 1)),
% 54.39/34.62 inference(unit_resolution,[status(thm)],[21646, 21572])).
% 54.39/34.62 tff(21648,plain,
% 54.39/34.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB126, 1)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB126, 1)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, 1))),
% 54.39/34.62 inference(rewrite,[status(thm)],[])).
% 54.39/34.62 tff(21649,plain,
% 54.39/34.62 (((~nextState(constB126, constB127)) | (~v90(constB126, 1)) | v100(constB127) | v90(constB127, 1)) <=> ((~v90(constB126, 1)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, 1))),
% 54.39/34.62 inference(rewrite,[status(thm)],[])).
% 54.39/34.62 tff(21650,plain,
% 54.39/34.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB126, constB127)) | (~v90(constB126, 1)) | v100(constB127) | v90(constB127, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB126, 1)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, 1)))),
% 54.39/34.62 inference(monotonicity,[status(thm)],[21649])).
% 54.39/34.62 tff(21651,plain,
% 54.39/34.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB126, constB127)) | (~v90(constB126, 1)) | v100(constB127) | v90(constB127, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB126, 1)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, 1))),
% 54.39/34.62 inference(transitivity,[status(thm)],[21650, 21648])).
% 54.39/34.62 tff(21652,plain,
% 54.39/34.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB126, constB127)) | (~v90(constB126, 1)) | v100(constB127) | v90(constB127, 1))),
% 54.39/34.62 inference(quant_inst,[status(thm)],[])).
% 54.39/34.62 tff(21653,plain,
% 54.39/34.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB126, 1)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, 1)),
% 54.39/34.62 inference(modus_ponens,[status(thm)],[21652, 21651])).
% 54.39/34.62 tff(21654,plain,
% 54.39/34.62 ((~v90(constB126, 1)) | v100(constB127) | v90(constB127, 1)),
% 54.39/34.62 inference(unit_resolution,[status(thm)],[21653, 1641, 21604])).
% 54.39/34.62 tff(21655,plain,
% 54.39/34.62 ((~v90(constB126, 1)) | v90(constB127, 1)),
% 54.39/34.62 inference(unit_resolution,[status(thm)],[21654, 21616])).
% 54.39/34.62 tff(21656,plain,
% 54.39/34.62 (v90(constB127, 1)),
% 54.39/34.62 inference(unit_resolution,[status(thm)],[21655, 21647])).
% 54.39/34.62 tff(21657,plain,
% 54.39/34.62 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | ((~v122(constB125)) | v90(constB125, 0))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | (~v122(constB125)) | v90(constB125, 0))),
% 54.39/34.62 inference(rewrite,[status(thm)],[])).
% 54.39/34.62 tff(21658,plain,
% 54.39/34.62 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | ((~v122(constB125)) | v90(constB125, 0))),
% 54.39/34.62 inference(quant_inst,[status(thm)],[])).
% 54.39/34.62 tff(21659,plain,
% 54.39/34.62 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | (~v122(constB125)) | v90(constB125, 0)),
% 54.39/34.62 inference(modus_ponens,[status(thm)],[21658, 21657])).
% 54.39/34.62 tff(21660,plain,
% 54.39/34.62 (~v122(constB125)),
% 54.39/34.62 inference(unit_resolution,[status(thm)],[21659, 6851, 21275])).
% 54.39/34.62 tff(21661,plain,
% 54.39/34.62 (v130(constB123, 1)),
% 54.39/34.62 inference(unit_resolution,[status(thm)],[21465, 1579, 21083])).
% 54.39/34.62 tff(21662,plain,
% 54.39/34.62 (v127(constB123, 1)),
% 54.39/34.62 inference(unit_resolution,[status(thm)],[21461, 21661])).
% 54.39/34.62 tff(21663,plain,
% 54.39/34.62 (v129(constB124, 1)),
% 54.39/34.62 inference(unit_resolution,[status(thm)],[21456, 21662])).
% 54.39/34.62 tff(21664,plain,
% 54.39/34.62 (v90(constB124, 1)),
% 54.39/34.62 inference(unit_resolution,[status(thm)],[21450, 1623, 21241, 21663])).
% 54.39/34.62 tff(21665,plain,
% 54.39/34.62 (v90(constB125, 1)),
% 54.39/34.62 inference(unit_resolution,[status(thm)],[21339, 21664])).
% 54.39/34.62 tff(21666,plain,
% 54.39/34.62 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB125)) | (~v90(constB125, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB125)) | (~v90(constB125, 1)))),
% 54.39/34.62 inference(rewrite,[status(thm)],[])).
% 54.39/34.62 tff(21667,plain,
% 54.39/34.62 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB125)) | (~v90(constB125, 1)))),
% 54.39/34.62 inference(quant_inst,[status(thm)],[])).
% 54.39/34.62 tff(21668,plain,
% 54.39/34.62 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB125)) | (~v90(constB125, 1))),
% 54.39/34.62 inference(modus_ponens,[status(thm)],[21667, 21666])).
% 54.39/34.62 tff(21669,plain,
% 54.39/34.62 (~v123(constB125)),
% 54.39/34.62 inference(unit_resolution,[status(thm)],[21668, 2879, 21665])).
% 54.39/34.62 tff(21670,plain,
% 54.39/34.62 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB125)) | (~v90(constB125, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB125)) | (~v90(constB125, 1)))),
% 54.39/34.62 inference(rewrite,[status(thm)],[])).
% 54.39/34.62 tff(21671,plain,
% 54.39/34.62 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB125)) | (~v90(constB125, 1)))),
% 54.39/34.62 inference(quant_inst,[status(thm)],[])).
% 54.39/34.62 tff(21672,plain,
% 54.39/34.62 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB125)) | (~v90(constB125, 1))),
% 54.39/34.62 inference(modus_ponens,[status(thm)],[21671, 21670])).
% 54.39/34.62 tff(21673,plain,
% 54.39/34.62 (~v124(constB125)),
% 54.39/34.62 inference(unit_resolution,[status(thm)],[21672, 2890, 21665])).
% 54.39/34.62 tff(21674,plain,
% 54.39/34.62 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB125)) | (~v90(constB125, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB125)) | (~v90(constB125, 1)))),
% 54.39/34.62 inference(rewrite,[status(thm)],[])).
% 54.39/34.62 tff(21675,plain,
% 54.39/34.62 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB125)) | (~v90(constB125, 1)))),
% 54.39/34.62 inference(quant_inst,[status(thm)],[])).
% 54.39/34.62 tff(21676,plain,
% 54.39/34.62 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB125)) | (~v90(constB125, 1))),
% 54.39/34.62 inference(modus_ponens,[status(thm)],[21675, 21674])).
% 54.39/34.62 tff(21677,plain,
% 54.39/34.62 (~v120(constB125)),
% 54.39/34.62 inference(unit_resolution,[status(thm)],[21676, 2846, 21665])).
% 54.39/34.62 tff(21678,assumption,(~v130(constB125, 0)), introduced(assumption)).
% 54.39/34.62 tff(21679,assumption,(~v123(constB125)), introduced(assumption)).
% 54.39/34.62 tff(21680,plain,
% 54.39/34.62 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB125)) | v130(constB125, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB125)) | v130(constB125, 0))),
% 54.39/34.62 inference(rewrite,[status(thm)],[])).
% 54.39/34.62 tff(21681,plain,
% 54.39/34.62 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB125)) | v130(constB125, 0))),
% 54.39/34.62 inference(quant_inst,[status(thm)],[])).
% 54.39/34.62 tff(21682,plain,
% 54.39/34.62 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB125)) | v130(constB125, 0)),
% 54.39/34.62 inference(modus_ponens,[status(thm)],[21681, 21680])).
% 54.39/34.62 tff(21683,plain,
% 54.39/34.62 (~v121(constB125)),
% 54.39/34.62 inference(unit_resolution,[status(thm)],[21682, 1915, 21678])).
% 54.39/34.62 tff(21684,plain,
% 54.39/34.62 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB125)) | v130(constB125, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB125)) | v130(constB125, 0))),
% 54.39/34.62 inference(rewrite,[status(thm)],[])).
% 54.39/34.62 tff(21685,plain,
% 54.39/34.62 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB125)) | v130(constB125, 0))),
% 54.39/34.62 inference(quant_inst,[status(thm)],[])).
% 54.39/34.62 tff(21686,plain,
% 54.39/34.62 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB125)) | v130(constB125, 0)),
% 54.39/34.62 inference(modus_ponens,[status(thm)],[21685, 21684])).
% 54.39/34.62 tff(21687,plain,
% 54.39/34.62 (~v119(constB125)),
% 54.39/34.62 inference(unit_resolution,[status(thm)],[21686, 1333, 21678])).
% 54.39/34.62 tff(21688,assumption,(~v122(constB125)), introduced(assumption)).
% 54.39/34.62 tff(21689,assumption,(~v120(constB125)), introduced(assumption)).
% 54.39/34.62 tff(21690,assumption,(~v124(constB125)), introduced(assumption)).
% 54.39/34.62 tff(21691,plain,
% 54.39/34.62 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | v130(constB125, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | v130(constB125, 0))),
% 54.39/34.62 inference(rewrite,[status(thm)],[])).
% 54.39/34.62 tff(21692,plain,
% 54.39/34.62 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | v130(constB125, 0))),
% 54.39/34.62 inference(quant_inst,[status(thm)],[])).
% 54.39/34.62 tff(21693,plain,
% 54.39/34.62 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB125) | v120(constB125) | v121(constB125) | v122(constB125) | v123(constB125) | v124(constB125) | v130(constB125, 0)),
% 54.39/34.62 inference(modus_ponens,[status(thm)],[21692, 21691])).
% 54.39/34.62 tff(21694,plain,
% 54.39/34.62 (v119(constB125) | v121(constB125) | v123(constB125) | v130(constB125, 0)),
% 54.39/34.62 inference(unit_resolution,[status(thm)],[21693, 3413, 21690, 21689, 21688])).
% 54.39/34.62 tff(21695,plain,
% 54.39/34.62 ($false),
% 54.39/34.62 inference(unit_resolution,[status(thm)],[21694, 21687, 21683, 21679, 21678])).
% 54.39/34.62 tff(21696,plain,(v130(constB125, 0) | v123(constB125) | v124(constB125) | v120(constB125) | v122(constB125)), inference(lemma,lemma(discharge,[]))).
% 54.39/34.62 tff(21697,plain,
% 54.39/34.62 (v130(constB125, 0)),
% 54.39/34.62 inference(unit_resolution,[status(thm)],[21696, 21677, 21673, 21669, 21660])).
% 54.39/34.62 tff(21698,plain,
% 54.39/34.62 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB125) | (~v130(constB125, 0)) | v127(constB125, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB125) | (~v130(constB125, 0)) | v127(constB125, 0))),
% 54.39/34.62 inference(rewrite,[status(thm)],[])).
% 54.39/34.62 tff(21699,plain,
% 54.39/34.62 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB125) | (~v130(constB125, 0)) | v127(constB125, 0))),
% 54.39/34.62 inference(quant_inst,[status(thm)],[])).
% 54.39/34.62 tff(21700,plain,
% 54.39/34.62 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB125) | (~v130(constB125, 0)) | v127(constB125, 0)),
% 54.39/34.62 inference(modus_ponens,[status(thm)],[21699, 21698])).
% 54.39/34.62 tff(21701,plain,
% 54.39/34.62 ((~v130(constB125, 0)) | v127(constB125, 0)),
% 54.39/34.62 inference(unit_resolution,[status(thm)],[21700, 1347, 21580])).
% 54.39/34.62 tff(21702,plain,
% 54.39/34.62 (v127(constB125, 0)),
% 54.39/34.62 inference(unit_resolution,[status(thm)],[21701, 21697])).
% 54.39/34.62 tff(21703,plain,
% 54.39/34.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB125, constB126)) | (~v127(constB125, 0)) | v129(constB126, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB125, constB126)) | (~v127(constB125, 0)) | v129(constB126, 0))),
% 54.39/34.62 inference(rewrite,[status(thm)],[])).
% 54.39/34.62 tff(21704,plain,
% 54.39/34.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB125, constB126)) | (~v127(constB125, 0)) | v129(constB126, 0))),
% 54.39/34.62 inference(quant_inst,[status(thm)],[])).
% 54.39/34.62 tff(21705,plain,
% 54.39/34.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB125, constB126)) | (~v127(constB125, 0)) | v129(constB126, 0)),
% 54.39/34.62 inference(modus_ponens,[status(thm)],[21704, 21703])).
% 54.39/34.62 tff(21706,plain,
% 54.39/34.62 ((~v127(constB125, 0)) | v129(constB126, 0)),
% 54.39/34.62 inference(unit_resolution,[status(thm)],[21705, 1362, 21541])).
% 54.39/34.62 tff(21707,plain,
% 54.39/34.62 (v129(constB126, 0)),
% 54.39/34.62 inference(unit_resolution,[status(thm)],[21706, 21702])).
% 54.39/34.62 tff(21708,plain,
% 54.39/34.62 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB126, 0) | (~v129(constB126, 0)) | (~v100(constB126)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB126, 0) | (~v129(constB126, 0)) | (~v100(constB126)))),
% 54.39/34.62 inference(rewrite,[status(thm)],[])).
% 54.39/34.62 tff(21709,plain,
% 54.39/34.62 ((v90(constB126, 0) | (~v100(constB126)) | (~v129(constB126, 0))) <=> (v90(constB126, 0) | (~v129(constB126, 0)) | (~v100(constB126)))),
% 54.39/34.62 inference(rewrite,[status(thm)],[])).
% 54.39/34.62 tff(21710,plain,
% 54.39/34.62 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB126, 0) | (~v100(constB126)) | (~v129(constB126, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB126, 0) | (~v129(constB126, 0)) | (~v100(constB126))))),
% 54.39/34.62 inference(monotonicity,[status(thm)],[21709])).
% 54.39/34.62 tff(21711,plain,
% 54.39/34.62 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB126, 0) | (~v100(constB126)) | (~v129(constB126, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB126, 0) | (~v129(constB126, 0)) | (~v100(constB126)))),
% 54.39/34.62 inference(transitivity,[status(thm)],[21710, 21708])).
% 54.39/34.62 tff(21712,plain,
% 54.39/34.62 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB126, 0) | (~v100(constB126)) | (~v129(constB126, 0)))),
% 54.39/34.62 inference(quant_inst,[status(thm)],[])).
% 54.39/34.62 tff(21713,plain,
% 54.39/34.62 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB126, 0) | (~v129(constB126, 0)) | (~v100(constB126))),
% 54.39/34.62 inference(modus_ponens,[status(thm)],[21712, 21711])).
% 54.39/34.62 tff(21714,plain,
% 54.39/34.62 (v90(constB126, 0) | (~v100(constB126))),
% 54.39/34.62 inference(unit_resolution,[status(thm)],[21713, 1377, 21707])).
% 54.39/34.62 tff(21715,plain,
% 54.39/34.62 (v90(constB126, 0)),
% 54.39/34.62 inference(unit_resolution,[status(thm)],[21714, 21572])).
% 54.39/34.62 tff(21716,plain,
% 54.39/34.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB126, 0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB126, 0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, 0))),
% 54.39/34.62 inference(rewrite,[status(thm)],[])).
% 54.39/34.62 tff(21717,plain,
% 54.39/34.62 (((~nextState(constB126, constB127)) | (~v90(constB126, 0)) | v100(constB127) | v90(constB127, 0)) <=> ((~v90(constB126, 0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, 0))),
% 54.39/34.62 inference(rewrite,[status(thm)],[])).
% 54.39/34.62 tff(21718,plain,
% 54.39/34.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB126, constB127)) | (~v90(constB126, 0)) | v100(constB127) | v90(constB127, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB126, 0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, 0)))),
% 54.39/34.62 inference(monotonicity,[status(thm)],[21717])).
% 54.39/34.62 tff(21719,plain,
% 54.39/34.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB126, constB127)) | (~v90(constB126, 0)) | v100(constB127) | v90(constB127, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB126, 0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, 0))),
% 54.39/34.62 inference(transitivity,[status(thm)],[21718, 21716])).
% 54.39/34.62 tff(21720,plain,
% 54.39/34.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB126, constB127)) | (~v90(constB126, 0)) | v100(constB127) | v90(constB127, 0))),
% 54.39/34.62 inference(quant_inst,[status(thm)],[])).
% 54.39/34.62 tff(21721,plain,
% 54.39/34.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB126, 0)) | (~nextState(constB126, constB127)) | v100(constB127) | v90(constB127, 0)),
% 54.39/34.62 inference(modus_ponens,[status(thm)],[21720, 21719])).
% 54.39/34.62 tff(21722,plain,
% 54.39/34.62 ((~v90(constB126, 0)) | v100(constB127) | v90(constB127, 0)),
% 54.39/34.62 inference(unit_resolution,[status(thm)],[21721, 1395, 21604])).
% 54.39/34.62 tff(21723,plain,
% 54.39/34.62 ((~v90(constB126, 0)) | v90(constB127, 0)),
% 54.39/34.62 inference(unit_resolution,[status(thm)],[21722, 21616])).
% 54.39/34.62 tff(21724,plain,
% 54.39/34.62 (v90(constB127, 0)),
% 54.39/34.62 inference(unit_resolution,[status(thm)],[21723, 21715])).
% 54.39/34.62 tff(21725,plain,
% 54.39/34.62 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB127, 0)) | (~v90(constB127, 1)) | v90(constB127, 2) | v122(constB127))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB127, 0)) | (~v90(constB127, 1)) | v90(constB127, 2) | v122(constB127))),
% 54.39/34.62 inference(rewrite,[status(thm)],[])).
% 54.39/34.62 tff(21726,plain,
% 54.39/34.62 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB127, 0)) | (~v90(constB127, 1)) | v90(constB127, 2) | v122(constB127))),
% 54.39/34.62 inference(quant_inst,[status(thm)],[])).
% 54.39/34.62 tff(21727,plain,
% 54.39/34.62 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB127, 0)) | (~v90(constB127, 1)) | v90(constB127, 2) | v122(constB127)),
% 54.39/34.62 inference(modus_ponens,[status(thm)],[21726, 21725])).
% 54.39/34.62 tff(21728,plain,
% 54.39/34.62 (v122(constB127)),
% 54.39/34.62 inference(unit_resolution,[status(thm)],[21727, 1956, 21724, 21656, 21625])).
% 54.39/34.62 tff(21729,plain,
% 54.39/34.62 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB127) | (~v122(constB127)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB127) | (~v122(constB127)))),
% 54.39/34.62 inference(rewrite,[status(thm)],[])).
% 54.39/34.62 tff(21730,plain,
% 54.39/34.62 (((~v122(constB127)) | v116(constB127)) <=> (v116(constB127) | (~v122(constB127)))),
% 54.39/34.62 inference(rewrite,[status(thm)],[])).
% 54.39/34.62 tff(21731,plain,
% 54.39/34.62 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB127)) | v116(constB127))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB127) | (~v122(constB127))))),
% 54.39/34.62 inference(monotonicity,[status(thm)],[21730])).
% 54.39/34.62 tff(21732,plain,
% 54.39/34.62 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB127)) | v116(constB127))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB127) | (~v122(constB127)))),
% 54.39/34.62 inference(transitivity,[status(thm)],[21731, 21729])).
% 54.39/34.62 tff(21733,plain,
% 54.39/34.62 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB127)) | v116(constB127))),
% 54.39/34.62 inference(quant_inst,[status(thm)],[])).
% 54.39/34.62 tff(21734,plain,
% 54.39/34.62 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB127) | (~v122(constB127))),
% 54.39/34.62 inference(modus_ponens,[status(thm)],[21733, 21732])).
% 54.39/34.62 tff(21735,plain,
% 54.39/34.62 (v116(constB127)),
% 54.39/34.62 inference(unit_resolution,[status(thm)],[21734, 2120, 21728])).
% 54.39/34.62 tff(21736,plain,
% 54.39/34.62 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB127) | (~v116(constB127)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB127) | (~v116(constB127)))),
% 54.39/34.62 inference(rewrite,[status(thm)],[])).
% 54.39/34.62 tff(21737,plain,
% 54.39/34.62 (((~v116(constB127)) | v115(constB127)) <=> (v115(constB127) | (~v116(constB127)))),
% 54.39/34.62 inference(rewrite,[status(thm)],[])).
% 54.39/34.62 tff(21738,plain,
% 54.39/34.62 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB127)) | v115(constB127))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB127) | (~v116(constB127))))),
% 54.39/34.62 inference(monotonicity,[status(thm)],[21737])).
% 54.39/34.62 tff(21739,plain,
% 54.39/34.62 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB127)) | v115(constB127))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB127) | (~v116(constB127)))),
% 54.39/34.62 inference(transitivity,[status(thm)],[21738, 21736])).
% 54.39/34.62 tff(21740,plain,
% 54.39/34.62 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB127)) | v115(constB127))),
% 54.39/34.62 inference(quant_inst,[status(thm)],[])).
% 54.39/34.62 tff(21741,plain,
% 54.39/34.62 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB127) | (~v116(constB127))),
% 54.39/34.62 inference(modus_ponens,[status(thm)],[21740, 21739])).
% 54.39/34.62 tff(21742,plain,
% 54.39/34.62 (v115(constB127)),
% 54.39/34.62 inference(unit_resolution,[status(thm)],[21741, 1021, 21735])).
% 54.39/34.62 tff(21743,plain,
% 54.39/34.62 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB127)) | v114(constB127))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB127)) | v114(constB127))),
% 54.39/34.62 inference(rewrite,[status(thm)],[])).
% 54.39/34.62 tff(21744,plain,
% 54.39/34.62 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB127)) | v114(constB127))),
% 54.39/34.62 inference(quant_inst,[status(thm)],[])).
% 54.39/34.62 tff(21745,plain,
% 54.39/34.62 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB127)) | v114(constB127)),
% 54.39/34.62 inference(modus_ponens,[status(thm)],[21744, 21743])).
% 54.39/34.62 tff(21746,plain,
% 54.39/34.62 (v114(constB127)),
% 54.39/34.62 inference(unit_resolution,[status(thm)],[21745, 1035, 21742])).
% 54.39/34.62 tff(21747,plain,
% 54.39/34.62 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB127)) | v113(constB127))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB127)) | v113(constB127))),
% 54.39/34.62 inference(rewrite,[status(thm)],[])).
% 54.39/34.62 tff(21748,plain,
% 54.39/34.62 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB127)) | v113(constB127))),
% 54.39/34.62 inference(quant_inst,[status(thm)],[])).
% 54.39/34.62 tff(21749,plain,
% 54.39/34.62 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB127)) | v113(constB127)),
% 54.39/34.62 inference(modus_ponens,[status(thm)],[21748, 21747])).
% 54.39/34.62 tff(21750,plain,
% 54.39/34.62 (v113(constB127)),
% 54.39/34.62 inference(unit_resolution,[status(thm)],[21749, 1049, 21746])).
% 54.39/34.62 tff(21751,assumption,(v26(constB127)), introduced(assumption)).
% 54.39/34.62 tff(21752,plain,
% 54.39/34.62 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB127))),
% 54.39/34.62 inference(quant_inst,[status(thm)],[])).
% 54.39/34.62 tff(21753,plain,
% 54.39/34.62 ($false),
% 54.39/34.62 inference(unit_resolution,[status(thm)],[21752, 828, 21751])).
% 54.39/34.62 tff(21754,plain,(~v26(constB127)), inference(lemma,lemma(discharge,[]))).
% 54.39/34.62 tff(21755,plain,
% 54.39/34.62 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB127) | (~v113(constB127)) | v112(constB127))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB127) | (~v113(constB127)) | v112(constB127))),
% 54.39/34.62 inference(rewrite,[status(thm)],[])).
% 54.39/34.62 tff(21756,plain,
% 54.39/34.62 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB127) | (~v113(constB127)) | v112(constB127))),
% 54.39/34.62 inference(quant_inst,[status(thm)],[])).
% 54.39/34.62 tff(21757,plain,
% 54.39/34.62 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB127) | (~v113(constB127)) | v112(constB127)),
% 54.39/34.62 inference(modus_ponens,[status(thm)],[21756, 21755])).
% 54.39/34.62 tff(21758,plain,
% 54.39/34.62 ((~v113(constB127)) | v112(constB127)),
% 54.39/34.62 inference(unit_resolution,[status(thm)],[21757, 1063, 21754])).
% 54.39/34.62 tff(21759,plain,
% 54.39/34.62 (v112(constB127)),
% 54.39/34.62 inference(unit_resolution,[status(thm)],[21758, 21750])).
% 54.39/34.62 tff(21760,plain,
% 54.39/34.62 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB127) | (~v112(constB127)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB127) | (~v112(constB127)))),
% 54.39/34.62 inference(rewrite,[status(thm)],[])).
% 54.39/34.62 tff(21761,plain,
% 54.39/34.62 (((~v112(constB127)) | v108(constB127)) <=> (v108(constB127) | (~v112(constB127)))),
% 54.39/34.62 inference(rewrite,[status(thm)],[])).
% 54.39/34.62 tff(21762,plain,
% 54.39/34.62 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB127)) | v108(constB127))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB127) | (~v112(constB127))))),
% 54.39/34.62 inference(monotonicity,[status(thm)],[21761])).
% 54.39/34.62 tff(21763,plain,
% 54.39/34.62 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB127)) | v108(constB127))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB127) | (~v112(constB127)))),
% 54.39/34.62 inference(transitivity,[status(thm)],[21762, 21760])).
% 54.39/34.62 tff(21764,plain,
% 54.39/34.62 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB127)) | v108(constB127))),
% 54.39/34.62 inference(quant_inst,[status(thm)],[])).
% 54.39/34.62 tff(21765,plain,
% 54.39/34.62 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB127) | (~v112(constB127))),
% 54.39/34.62 inference(modus_ponens,[status(thm)],[21764, 21763])).
% 54.39/34.62 tff(21766,plain,
% 54.39/34.62 (v108(constB127)),
% 54.39/34.62 inference(unit_resolution,[status(thm)],[21765, 1075, 21759])).
% 54.39/34.62 tff(21767,plain,
% 54.39/34.62 (nextState(constB127, constB128) <=> nextState(constB127, constB128)),
% 54.39/34.62 inference(rewrite,[status(thm)],[])).
% 54.39/34.62 tff(21768,axiom,(nextState(constB127, constB128)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_127_1')).
% 54.39/34.62 tff(21769,plain,
% 54.39/34.62 (nextState(constB127, constB128)),
% 54.39/34.62 inference(modus_ponens,[status(thm)],[21768, 21767])).
% 54.39/34.62 tff(21770,plain,
% 54.39/34.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127)))),
% 54.39/34.62 inference(rewrite,[status(thm)],[])).
% 54.39/34.62 tff(21771,plain,
% 54.39/34.62 (((~nextState(constB127, constB128)) | (~v108(constB127)) | v110(constB128)) <=> ((~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127)))),
% 54.39/34.62 inference(rewrite,[status(thm)],[])).
% 54.39/34.62 tff(21772,plain,
% 54.39/34.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB127, constB128)) | (~v108(constB127)) | v110(constB128))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127))))),
% 54.39/34.62 inference(monotonicity,[status(thm)],[21771])).
% 54.39/34.62 tff(21773,plain,
% 54.39/34.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB127, constB128)) | (~v108(constB127)) | v110(constB128))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127)))),
% 54.39/34.62 inference(transitivity,[status(thm)],[21772, 21770])).
% 54.39/34.62 tff(21774,plain,
% 54.39/34.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB127, constB128)) | (~v108(constB127)) | v110(constB128))),
% 54.39/34.62 inference(quant_inst,[status(thm)],[])).
% 54.39/34.62 tff(21775,plain,
% 54.39/34.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB127, constB128)) | v110(constB128) | (~v108(constB127))),
% 54.39/34.62 inference(modus_ponens,[status(thm)],[21774, 21773])).
% 54.39/34.62 tff(21776,plain,
% 54.39/34.62 (v110(constB128) | (~v108(constB127))),
% 54.39/34.62 inference(unit_resolution,[status(thm)],[21775, 1095, 21769])).
% 54.39/34.62 tff(21777,plain,
% 54.39/34.62 (v110(constB128)),
% 54.39/34.62 inference(unit_resolution,[status(thm)],[21776, 21766])).
% 54.39/34.62 tff(21778,plain,
% 54.39/34.62 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB127) | (~nextState(constB127, constB128)) | (~v104(constB128)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB127) | (~nextState(constB127, constB128)) | (~v104(constB128)))),
% 54.39/34.62 inference(rewrite,[status(thm)],[])).
% 54.39/34.62 tff(21779,plain,
% 54.39/34.62 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB127) | (~nextState(constB127, constB128)) | (~v104(constB128)))),
% 54.39/34.62 inference(quant_inst,[status(thm)],[])).
% 54.39/34.62 tff(21780,plain,
% 54.39/34.62 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB127) | (~nextState(constB127, constB128)) | (~v104(constB128))),
% 54.39/34.62 inference(modus_ponens,[status(thm)],[21779, 21778])).
% 54.39/34.62 tff(21781,plain,
% 54.39/34.62 (~v104(constB128)),
% 54.39/34.62 inference(unit_resolution,[status(thm)],[21780, 1113, 21769, 21601])).
% 54.39/34.62 tff(21782,plain,
% 54.39/34.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB127, constB128)) | v102(constB128) | v104(constB128))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB127, constB128)) | v102(constB128) | v104(constB128))),
% 54.39/34.62 inference(rewrite,[status(thm)],[])).
% 54.39/34.62 tff(21783,plain,
% 54.39/34.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB127, constB128)) | v102(constB128) | v104(constB128))),
% 54.39/34.62 inference(quant_inst,[status(thm)],[])).
% 54.39/34.62 tff(21784,plain,
% 54.39/34.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB127, constB128)) | v102(constB128) | v104(constB128)),
% 54.39/34.62 inference(modus_ponens,[status(thm)],[21783, 21782])).
% 54.39/34.62 tff(21785,plain,
% 54.39/34.62 (v102(constB128) | v104(constB128)),
% 54.39/34.62 inference(unit_resolution,[status(thm)],[21784, 1127, 21769])).
% 54.39/34.62 tff(21786,plain,
% 54.39/34.62 (v102(constB128)),
% 54.39/34.62 inference(unit_resolution,[status(thm)],[21785, 21781])).
% 54.39/34.62 tff(21787,plain,
% 54.39/34.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB127, constB128)) | v101(constB128) | (~v102(constB128)) | (~v1(constB128)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB127, constB128)) | v101(constB128) | (~v102(constB128)) | (~v1(constB128)))),
% 54.39/34.62 inference(rewrite,[status(thm)],[])).
% 54.39/34.62 tff(21788,plain,
% 54.39/34.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB127, constB128)) | v101(constB128) | (~v102(constB128)) | (~v1(constB128)))),
% 54.39/34.62 inference(quant_inst,[status(thm)],[])).
% 54.39/34.62 tff(21789,plain,
% 54.39/34.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB127, constB128)) | v101(constB128) | (~v102(constB128)) | (~v1(constB128))),
% 54.39/34.62 inference(modus_ponens,[status(thm)],[21788, 21787])).
% 54.39/34.62 tff(21790,plain,
% 54.39/34.62 (v101(constB128) | (~v102(constB128))),
% 54.39/34.62 inference(unit_resolution,[status(thm)],[21789, 1145, 21769, 409])).
% 54.39/34.62 tff(21791,plain,
% 54.39/34.62 (v101(constB128)),
% 54.39/34.62 inference(unit_resolution,[status(thm)],[21790, 21786])).
% 54.39/34.62 tff(21792,plain,
% 54.39/34.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128)))),
% 54.39/34.62 inference(rewrite,[status(thm)],[])).
% 54.39/34.62 tff(21793,plain,
% 54.39/34.62 (((~nextState(constB127, constB128)) | (~v101(constB128)) | (~v110(constB128)) | v100(constB128)) <=> ((~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128)))),
% 54.39/34.62 inference(rewrite,[status(thm)],[])).
% 54.39/34.62 tff(21794,plain,
% 54.39/34.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB127, constB128)) | (~v101(constB128)) | (~v110(constB128)) | v100(constB128))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128))))),
% 54.39/34.62 inference(monotonicity,[status(thm)],[21793])).
% 54.39/34.62 tff(21795,plain,
% 54.39/34.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB127, constB128)) | (~v101(constB128)) | (~v110(constB128)) | v100(constB128))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128)))),
% 54.39/34.62 inference(transitivity,[status(thm)],[21794, 21792])).
% 54.39/34.62 tff(21796,plain,
% 54.39/34.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB127, constB128)) | (~v101(constB128)) | (~v110(constB128)) | v100(constB128))),
% 54.39/34.62 inference(quant_inst,[status(thm)],[])).
% 54.39/34.62 tff(21797,plain,
% 54.39/34.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB127, constB128)) | v100(constB128) | (~v101(constB128)) | (~v110(constB128))),
% 54.39/34.62 inference(modus_ponens,[status(thm)],[21796, 21795])).
% 54.39/34.62 tff(21798,plain,
% 54.39/34.62 (v100(constB128) | (~v101(constB128)) | (~v110(constB128))),
% 54.39/34.62 inference(unit_resolution,[status(thm)],[21797, 1160, 21769])).
% 54.39/34.62 tff(21799,plain,
% 54.39/34.62 (v100(constB128) | (~v110(constB128))),
% 54.39/34.62 inference(unit_resolution,[status(thm)],[21798, 21791])).
% 54.39/34.62 tff(21800,plain,
% 54.39/34.62 (v100(constB128)),
% 54.39/34.62 inference(unit_resolution,[status(thm)],[21799, 21777])).
% 54.39/34.62 tff(21801,plain,
% 54.39/34.62 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB127)) | v130(constB127, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB127)) | v130(constB127, 2))),
% 54.39/34.62 inference(rewrite,[status(thm)],[])).
% 54.39/34.62 tff(21802,plain,
% 54.39/34.62 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB127)) | v130(constB127, 2))),
% 54.39/34.62 inference(quant_inst,[status(thm)],[])).
% 54.39/34.62 tff(21803,plain,
% 54.39/34.62 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB127)) | v130(constB127, 2)),
% 54.39/34.62 inference(modus_ponens,[status(thm)],[21802, 21801])).
% 54.39/34.62 tff(21804,plain,
% 54.39/34.62 (v130(constB127, 2)),
% 54.39/34.62 inference(unit_resolution,[status(thm)],[21803, 1967, 21728])).
% 54.39/34.62 tff(21805,plain,
% 54.39/34.62 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB127) | (~v130(constB127, 2)) | v127(constB127, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB127) | (~v130(constB127, 2)) | v127(constB127, 2))),
% 54.39/34.62 inference(rewrite,[status(thm)],[])).
% 54.39/34.62 tff(21806,plain,
% 54.39/34.62 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB127) | (~v130(constB127, 2)) | v127(constB127, 2))),
% 54.39/34.62 inference(quant_inst,[status(thm)],[])).
% 54.39/34.62 tff(21807,plain,
% 54.39/34.62 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB127) | (~v130(constB127, 2)) | v127(constB127, 2)),
% 54.39/34.62 inference(modus_ponens,[status(thm)],[21806, 21805])).
% 54.39/34.62 tff(21808,plain,
% 54.39/34.62 ((~v130(constB127, 2)) | v127(constB127, 2)),
% 54.39/34.62 inference(unit_resolution,[status(thm)],[21807, 1981, 21754])).
% 54.39/34.62 tff(21809,plain,
% 54.39/34.62 (v127(constB127, 2)),
% 54.39/34.62 inference(unit_resolution,[status(thm)],[21808, 21804])).
% 54.39/34.62 tff(21810,plain,
% 54.39/34.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB127, constB128)) | (~v127(constB127, 2)) | v129(constB128, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB127, constB128)) | (~v127(constB127, 2)) | v129(constB128, 2))),
% 54.39/34.62 inference(rewrite,[status(thm)],[])).
% 54.39/34.62 tff(21811,plain,
% 54.39/34.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB127, constB128)) | (~v127(constB127, 2)) | v129(constB128, 2))),
% 54.39/34.62 inference(quant_inst,[status(thm)],[])).
% 54.39/34.62 tff(21812,plain,
% 54.39/34.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB127, constB128)) | (~v127(constB127, 2)) | v129(constB128, 2)),
% 54.39/34.62 inference(modus_ponens,[status(thm)],[21811, 21810])).
% 54.39/34.62 tff(21813,plain,
% 54.39/34.62 ((~v127(constB127, 2)) | v129(constB128, 2)),
% 54.39/34.62 inference(unit_resolution,[status(thm)],[21812, 1999, 21769])).
% 54.39/34.62 tff(21814,plain,
% 54.39/34.62 (v129(constB128, 2)),
% 54.39/34.62 inference(unit_resolution,[status(thm)],[21813, 21809])).
% 54.39/34.62 tff(21815,plain,
% 54.39/34.62 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB128, 2) | (~v129(constB128, 2)) | (~v100(constB128)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB128, 2) | (~v129(constB128, 2)) | (~v100(constB128)))),
% 54.39/34.62 inference(rewrite,[status(thm)],[])).
% 54.39/34.62 tff(21816,plain,
% 54.39/34.62 ((v90(constB128, 2) | (~v100(constB128)) | (~v129(constB128, 2))) <=> (v90(constB128, 2) | (~v129(constB128, 2)) | (~v100(constB128)))),
% 54.39/34.62 inference(rewrite,[status(thm)],[])).
% 54.39/34.62 tff(21817,plain,
% 54.39/34.62 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB128, 2) | (~v100(constB128)) | (~v129(constB128, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB128, 2) | (~v129(constB128, 2)) | (~v100(constB128))))),
% 54.39/34.62 inference(monotonicity,[status(thm)],[21816])).
% 54.39/34.62 tff(21818,plain,
% 54.39/34.62 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB128, 2) | (~v100(constB128)) | (~v129(constB128, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB128, 2) | (~v129(constB128, 2)) | (~v100(constB128)))),
% 54.39/34.62 inference(transitivity,[status(thm)],[21817, 21815])).
% 54.39/34.62 tff(21819,plain,
% 54.39/34.62 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB128, 2) | (~v100(constB128)) | (~v129(constB128, 2)))),
% 54.39/34.62 inference(quant_inst,[status(thm)],[])).
% 54.39/34.62 tff(21820,plain,
% 54.39/34.62 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB128, 2) | (~v129(constB128, 2)) | (~v100(constB128))),
% 54.39/34.62 inference(modus_ponens,[status(thm)],[21819, 21818])).
% 54.39/34.62 tff(21821,plain,
% 54.39/34.62 (v90(constB128, 2) | (~v100(constB128))),
% 54.39/34.62 inference(unit_resolution,[status(thm)],[21820, 2324, 21814])).
% 54.39/34.62 tff(21822,plain,
% 54.39/34.62 (v90(constB128, 2)),
% 54.39/34.62 inference(unit_resolution,[status(thm)],[21821, 21800])).
% 54.39/34.62 tff(21823,plain,
% 54.39/34.62 ((~v1(constB129)) <=> (~v1(constB129))),
% 54.39/34.62 inference(rewrite,[status(thm)],[])).
% 54.39/34.62 tff(21824,axiom,(~v1(constB129)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_129_1_1')).
% 54.39/34.62 tff(21825,plain,
% 54.39/34.62 (~v1(constB129)),
% 54.39/34.62 inference(modus_ponens,[status(thm)],[21824, 21823])).
% 54.39/34.62 tff(21826,plain,
% 54.39/34.62 (nextState(constB128, constB129) <=> nextState(constB128, constB129)),
% 54.39/34.62 inference(rewrite,[status(thm)],[])).
% 54.39/34.62 tff(21827,axiom,(nextState(constB128, constB129)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_128_1')).
% 54.39/34.62 tff(21828,plain,
% 54.39/34.62 (nextState(constB128, constB129)),
% 54.39/34.62 inference(modus_ponens,[status(thm)],[21827, 21826])).
% 54.39/34.62 tff(21829,plain,
% 54.39/34.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129)))),
% 54.39/34.62 inference(rewrite,[status(thm)],[])).
% 54.39/34.62 tff(21830,plain,
% 54.39/34.62 (((~nextState(constB128, constB129)) | (~v101(constB129)) | v1(constB129)) <=> (v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129)))),
% 54.39/34.62 inference(rewrite,[status(thm)],[])).
% 54.39/34.62 tff(21831,plain,
% 54.39/34.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB128, constB129)) | (~v101(constB129)) | v1(constB129))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129))))),
% 54.39/34.62 inference(monotonicity,[status(thm)],[21830])).
% 54.39/34.62 tff(21832,plain,
% 54.39/34.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB128, constB129)) | (~v101(constB129)) | v1(constB129))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129)))),
% 54.39/34.62 inference(transitivity,[status(thm)],[21831, 21829])).
% 54.39/34.62 tff(21833,plain,
% 54.39/34.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB128, constB129)) | (~v101(constB129)) | v1(constB129))),
% 54.39/34.62 inference(quant_inst,[status(thm)],[])).
% 54.39/34.62 tff(21834,plain,
% 54.39/34.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB129) | (~nextState(constB128, constB129)) | (~v101(constB129))),
% 54.39/34.62 inference(modus_ponens,[status(thm)],[21833, 21832])).
% 54.39/34.62 tff(21835,plain,
% 54.39/34.62 (~v101(constB129)),
% 54.39/34.62 inference(unit_resolution,[status(thm)],[21834, 873, 21828, 21825])).
% 54.39/34.62 tff(21836,plain,
% 54.39/34.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB128, constB129)) | v101(constB129) | (~v100(constB129)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB128, constB129)) | v101(constB129) | (~v100(constB129)))),
% 54.39/34.62 inference(rewrite,[status(thm)],[])).
% 54.39/34.62 tff(21837,plain,
% 54.39/34.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB128, constB129)) | v101(constB129) | (~v100(constB129)))),
% 54.39/34.62 inference(quant_inst,[status(thm)],[])).
% 54.39/34.63 tff(21838,plain,
% 54.39/34.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB128, constB129)) | v101(constB129) | (~v100(constB129))),
% 54.39/34.63 inference(modus_ponens,[status(thm)],[21837, 21836])).
% 54.39/34.63 tff(21839,plain,
% 54.39/34.63 (v101(constB129) | (~v100(constB129))),
% 54.39/34.63 inference(unit_resolution,[status(thm)],[21838, 890, 21828])).
% 54.39/34.63 tff(21840,plain,
% 54.39/34.63 (~v100(constB129)),
% 54.39/34.63 inference(unit_resolution,[status(thm)],[21839, 21835])).
% 54.39/34.63 tff(21841,plain,
% 54.39/34.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB128, 2)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB128, 2)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, 2))),
% 54.39/34.63 inference(rewrite,[status(thm)],[])).
% 54.39/34.63 tff(21842,plain,
% 54.39/34.63 (((~nextState(constB128, constB129)) | (~v90(constB128, 2)) | v100(constB129) | v90(constB129, 2)) <=> ((~v90(constB128, 2)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, 2))),
% 54.39/34.63 inference(rewrite,[status(thm)],[])).
% 54.39/34.63 tff(21843,plain,
% 54.39/34.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB128, constB129)) | (~v90(constB128, 2)) | v100(constB129) | v90(constB129, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB128, 2)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, 2)))),
% 54.39/34.63 inference(monotonicity,[status(thm)],[21842])).
% 54.39/34.63 tff(21844,plain,
% 54.39/34.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB128, constB129)) | (~v90(constB128, 2)) | v100(constB129) | v90(constB129, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB128, 2)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, 2))),
% 54.39/34.63 inference(transitivity,[status(thm)],[21843, 21841])).
% 54.39/34.63 tff(21845,plain,
% 54.39/34.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB128, constB129)) | (~v90(constB128, 2)) | v100(constB129) | v90(constB129, 2))),
% 54.39/34.63 inference(quant_inst,[status(thm)],[])).
% 54.39/34.63 tff(21846,plain,
% 54.39/34.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB128, 2)) | (~nextState(constB128, constB129)) | v100(constB129) | v90(constB129, 2)),
% 54.39/34.63 inference(modus_ponens,[status(thm)],[21845, 21844])).
% 54.39/34.63 tff(21847,plain,
% 54.39/34.63 ((~v90(constB128, 2)) | v100(constB129) | v90(constB129, 2)),
% 54.39/34.63 inference(unit_resolution,[status(thm)],[21846, 2174, 21828])).
% 54.39/34.63 tff(21848,plain,
% 54.39/34.63 ((~v90(constB128, 2)) | v90(constB129, 2)),
% 54.39/34.63 inference(unit_resolution,[status(thm)],[21847, 21840])).
% 54.39/34.63 tff(21849,plain,
% 54.39/34.63 (v90(constB129, 2)),
% 54.39/34.63 inference(unit_resolution,[status(thm)],[21848, 21822])).
% 54.39/34.63 tff(21850,plain,
% 54.39/34.63 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB127)) | (~v130(constB127, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB127)) | (~v130(constB127, 1)))),
% 54.39/34.63 inference(rewrite,[status(thm)],[])).
% 54.39/34.63 tff(21851,plain,
% 54.39/34.63 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB127)) | (~v130(constB127, 1)))),
% 54.39/34.63 inference(quant_inst,[status(thm)],[])).
% 54.39/34.63 tff(21852,plain,
% 54.39/34.63 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB127)) | (~v130(constB127, 1))),
% 54.39/34.63 inference(modus_ponens,[status(thm)],[21851, 21850])).
% 54.39/34.63 tff(21853,plain,
% 54.39/34.63 (~v130(constB127, 1)),
% 54.39/34.63 inference(unit_resolution,[status(thm)],[21852, 2366, 21728])).
% 54.39/34.63 tff(21854,plain,
% 54.39/34.63 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB127, 1)) | v26(constB127) | v130(constB127, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB127, 1)) | v26(constB127) | v130(constB127, 1))),
% 54.39/34.63 inference(rewrite,[status(thm)],[])).
% 54.39/34.63 tff(21855,plain,
% 54.39/34.63 ((v26(constB127) | v130(constB127, 1) | (~v127(constB127, 1))) <=> ((~v127(constB127, 1)) | v26(constB127) | v130(constB127, 1))),
% 54.39/34.63 inference(rewrite,[status(thm)],[])).
% 54.39/34.63 tff(21856,plain,
% 54.39/34.63 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB127) | v130(constB127, 1) | (~v127(constB127, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB127, 1)) | v26(constB127) | v130(constB127, 1)))),
% 54.39/34.63 inference(monotonicity,[status(thm)],[21855])).
% 54.39/34.63 tff(21857,plain,
% 54.39/34.63 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB127) | v130(constB127, 1) | (~v127(constB127, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB127, 1)) | v26(constB127) | v130(constB127, 1))),
% 54.39/34.63 inference(transitivity,[status(thm)],[21856, 21854])).
% 54.39/34.63 tff(21858,plain,
% 54.39/34.63 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB127) | v130(constB127, 1) | (~v127(constB127, 1)))),
% 54.39/34.63 inference(quant_inst,[status(thm)],[])).
% 54.39/34.63 tff(21859,plain,
% 54.39/34.63 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB127, 1)) | v26(constB127) | v130(constB127, 1)),
% 54.39/34.63 inference(modus_ponens,[status(thm)],[21858, 21857])).
% 54.39/34.63 tff(21860,plain,
% 54.39/34.63 ((~v127(constB127, 1)) | v130(constB127, 1)),
% 54.39/34.63 inference(unit_resolution,[status(thm)],[21859, 1276, 21754])).
% 54.39/34.63 tff(21861,plain,
% 54.39/34.63 (~v127(constB127, 1)),
% 54.39/34.63 inference(unit_resolution,[status(thm)],[21860, 21853])).
% 54.39/34.63 tff(21862,plain,
% 54.39/34.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB127, constB128)) | v127(constB127, 1) | (~v129(constB128, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB127, constB128)) | v127(constB127, 1) | (~v129(constB128, 1)))),
% 54.39/34.63 inference(rewrite,[status(thm)],[])).
% 54.39/34.63 tff(21863,plain,
% 54.39/34.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB127, constB128)) | v127(constB127, 1) | (~v129(constB128, 1)))),
% 54.39/34.63 inference(quant_inst,[status(thm)],[])).
% 54.39/34.63 tff(21864,plain,
% 54.39/34.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB127, constB128)) | v127(constB127, 1) | (~v129(constB128, 1))),
% 54.39/34.63 inference(modus_ponens,[status(thm)],[21863, 21862])).
% 54.39/34.63 tff(21865,plain,
% 54.39/34.63 (v127(constB127, 1) | (~v129(constB128, 1))),
% 54.39/34.63 inference(unit_resolution,[status(thm)],[21864, 1294, 21769])).
% 54.39/34.63 tff(21866,plain,
% 54.39/34.63 (~v129(constB128, 1)),
% 54.39/34.63 inference(unit_resolution,[status(thm)],[21865, 21861])).
% 54.39/34.63 tff(21867,plain,
% 54.39/34.63 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB128, 1)) | v129(constB128, 1) | (~v100(constB128)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB128, 1)) | v129(constB128, 1) | (~v100(constB128)))),
% 54.39/34.63 inference(rewrite,[status(thm)],[])).
% 54.39/34.63 tff(21868,plain,
% 54.39/34.63 (((~v90(constB128, 1)) | (~v100(constB128)) | v129(constB128, 1)) <=> ((~v90(constB128, 1)) | v129(constB128, 1) | (~v100(constB128)))),
% 54.39/34.63 inference(rewrite,[status(thm)],[])).
% 54.39/34.63 tff(21869,plain,
% 54.39/34.63 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB128, 1)) | (~v100(constB128)) | v129(constB128, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB128, 1)) | v129(constB128, 1) | (~v100(constB128))))),
% 54.39/34.63 inference(monotonicity,[status(thm)],[21868])).
% 54.39/34.63 tff(21870,plain,
% 54.39/34.63 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB128, 1)) | (~v100(constB128)) | v129(constB128, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB128, 1)) | v129(constB128, 1) | (~v100(constB128)))),
% 54.39/34.63 inference(transitivity,[status(thm)],[21869, 21867])).
% 54.39/34.63 tff(21871,plain,
% 54.39/34.63 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB128, 1)) | (~v100(constB128)) | v129(constB128, 1))),
% 54.39/34.63 inference(quant_inst,[status(thm)],[])).
% 54.39/34.63 tff(21872,plain,
% 54.39/34.63 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB128, 1)) | v129(constB128, 1) | (~v100(constB128))),
% 54.39/34.63 inference(modus_ponens,[status(thm)],[21871, 21870])).
% 54.39/34.63 tff(21873,plain,
% 54.39/34.63 ((~v90(constB128, 1)) | (~v100(constB128))),
% 54.39/34.63 inference(unit_resolution,[status(thm)],[21872, 1309, 21866])).
% 54.39/34.63 tff(21874,plain,
% 54.39/34.63 (~v90(constB128, 1)),
% 54.39/34.63 inference(unit_resolution,[status(thm)],[21873, 21800])).
% 54.39/34.63 tff(21875,plain,
% 54.39/34.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB128, 1) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB128, 1) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 1)))),
% 54.39/34.63 inference(rewrite,[status(thm)],[])).
% 54.39/34.63 tff(21876,plain,
% 54.39/34.63 (((~nextState(constB128, constB129)) | v90(constB128, 1) | v100(constB129) | (~v90(constB129, 1))) <=> (v90(constB128, 1) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 1)))),
% 54.39/34.63 inference(rewrite,[status(thm)],[])).
% 54.39/34.63 tff(21877,plain,
% 54.39/34.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB128, constB129)) | v90(constB128, 1) | v100(constB129) | (~v90(constB129, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB128, 1) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 1))))),
% 54.39/34.63 inference(monotonicity,[status(thm)],[21876])).
% 54.39/34.63 tff(21878,plain,
% 54.39/34.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB128, constB129)) | v90(constB128, 1) | v100(constB129) | (~v90(constB129, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB128, 1) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 1)))),
% 54.39/34.63 inference(transitivity,[status(thm)],[21877, 21875])).
% 54.39/34.63 tff(21879,plain,
% 54.39/34.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB128, constB129)) | v90(constB128, 1) | v100(constB129) | (~v90(constB129, 1)))),
% 54.39/34.63 inference(quant_inst,[status(thm)],[])).
% 54.39/34.63 tff(21880,plain,
% 54.39/34.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB128, 1) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 1))),
% 54.39/34.63 inference(modus_ponens,[status(thm)],[21879, 21878])).
% 54.39/34.63 tff(21881,plain,
% 54.39/34.63 (v90(constB128, 1) | v100(constB129) | (~v90(constB129, 1))),
% 54.39/34.63 inference(unit_resolution,[status(thm)],[21880, 926, 21828])).
% 54.39/34.63 tff(21882,plain,
% 54.39/34.63 (v90(constB128, 1) | (~v90(constB129, 1))),
% 54.39/34.63 inference(unit_resolution,[status(thm)],[21881, 21840])).
% 54.39/34.63 tff(21883,plain,
% 54.39/34.63 (~v90(constB129, 1)),
% 54.39/34.63 inference(unit_resolution,[status(thm)],[21882, 21874])).
% 54.39/34.63 tff(21884,plain,
% 54.39/34.63 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB127)) | (~v130(constB127, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB127)) | (~v130(constB127, 0)))),
% 54.39/34.63 inference(rewrite,[status(thm)],[])).
% 54.39/34.63 tff(21885,plain,
% 54.39/34.63 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB127)) | (~v130(constB127, 0)))),
% 54.39/34.63 inference(quant_inst,[status(thm)],[])).
% 54.39/34.63 tff(21886,plain,
% 54.39/34.63 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB127)) | (~v130(constB127, 0))),
% 54.39/34.63 inference(modus_ponens,[status(thm)],[21885, 21884])).
% 54.39/34.63 tff(21887,plain,
% 54.39/34.63 (~v130(constB127, 0)),
% 54.39/34.63 inference(unit_resolution,[status(thm)],[21886, 2407, 21728])).
% 54.39/34.63 tff(21888,plain,
% 54.39/34.63 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB127, 0)) | v26(constB127) | v130(constB127, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB127, 0)) | v26(constB127) | v130(constB127, 0))),
% 54.39/34.63 inference(rewrite,[status(thm)],[])).
% 54.39/34.63 tff(21889,plain,
% 54.39/34.63 ((v26(constB127) | v130(constB127, 0) | (~v127(constB127, 0))) <=> ((~v127(constB127, 0)) | v26(constB127) | v130(constB127, 0))),
% 54.39/34.63 inference(rewrite,[status(thm)],[])).
% 54.39/34.63 tff(21890,plain,
% 54.39/34.63 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB127) | v130(constB127, 0) | (~v127(constB127, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB127, 0)) | v26(constB127) | v130(constB127, 0)))),
% 54.39/34.63 inference(monotonicity,[status(thm)],[21889])).
% 54.39/34.63 tff(21891,plain,
% 54.39/34.63 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB127) | v130(constB127, 0) | (~v127(constB127, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB127, 0)) | v26(constB127) | v130(constB127, 0))),
% 54.39/34.63 inference(transitivity,[status(thm)],[21890, 21888])).
% 54.39/34.63 tff(21892,plain,
% 54.39/34.63 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB127) | v130(constB127, 0) | (~v127(constB127, 0)))),
% 54.39/34.63 inference(quant_inst,[status(thm)],[])).
% 54.39/34.63 tff(21893,plain,
% 54.39/34.63 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB127, 0)) | v26(constB127) | v130(constB127, 0)),
% 54.39/34.63 inference(modus_ponens,[status(thm)],[21892, 21891])).
% 54.39/34.63 tff(21894,plain,
% 54.39/34.63 ((~v127(constB127, 0)) | v130(constB127, 0)),
% 54.39/34.63 inference(unit_resolution,[status(thm)],[21893, 1671, 21754])).
% 54.39/34.63 tff(21895,plain,
% 54.39/34.63 (~v127(constB127, 0)),
% 54.39/34.63 inference(unit_resolution,[status(thm)],[21894, 21887])).
% 54.39/34.63 tff(21896,plain,
% 54.39/34.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB127, constB128)) | v127(constB127, 0) | (~v129(constB128, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB127, constB128)) | v127(constB127, 0) | (~v129(constB128, 0)))),
% 54.39/34.63 inference(rewrite,[status(thm)],[])).
% 54.39/34.63 tff(21897,plain,
% 54.39/34.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB127, constB128)) | v127(constB127, 0) | (~v129(constB128, 0)))),
% 54.39/34.63 inference(quant_inst,[status(thm)],[])).
% 54.39/34.63 tff(21898,plain,
% 54.39/34.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB127, constB128)) | v127(constB127, 0) | (~v129(constB128, 0))),
% 54.39/34.63 inference(modus_ponens,[status(thm)],[21897, 21896])).
% 54.39/34.63 tff(21899,plain,
% 54.39/34.63 (v127(constB127, 0) | (~v129(constB128, 0))),
% 54.39/34.63 inference(unit_resolution,[status(thm)],[21898, 1689, 21769])).
% 54.39/34.63 tff(21900,plain,
% 54.39/34.63 (~v129(constB128, 0)),
% 54.39/34.63 inference(unit_resolution,[status(thm)],[21899, 21895])).
% 54.39/34.63 tff(21901,plain,
% 54.39/34.63 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB128, 0)) | v129(constB128, 0) | (~v100(constB128)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB128, 0)) | v129(constB128, 0) | (~v100(constB128)))),
% 54.39/34.63 inference(rewrite,[status(thm)],[])).
% 54.39/34.63 tff(21902,plain,
% 54.39/34.63 (((~v90(constB128, 0)) | (~v100(constB128)) | v129(constB128, 0)) <=> ((~v90(constB128, 0)) | v129(constB128, 0) | (~v100(constB128)))),
% 54.39/34.63 inference(rewrite,[status(thm)],[])).
% 54.39/34.63 tff(21903,plain,
% 54.39/34.63 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB128, 0)) | (~v100(constB128)) | v129(constB128, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB128, 0)) | v129(constB128, 0) | (~v100(constB128))))),
% 54.39/34.63 inference(monotonicity,[status(thm)],[21902])).
% 54.39/34.63 tff(21904,plain,
% 54.39/34.63 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB128, 0)) | (~v100(constB128)) | v129(constB128, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB128, 0)) | v129(constB128, 0) | (~v100(constB128)))),
% 54.39/34.63 inference(transitivity,[status(thm)],[21903, 21901])).
% 54.39/34.63 tff(21905,plain,
% 54.39/34.63 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB128, 0)) | (~v100(constB128)) | v129(constB128, 0))),
% 54.39/34.63 inference(quant_inst,[status(thm)],[])).
% 54.39/34.63 tff(21906,plain,
% 54.39/34.63 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB128, 0)) | v129(constB128, 0) | (~v100(constB128))),
% 54.39/34.63 inference(modus_ponens,[status(thm)],[21905, 21904])).
% 54.39/34.63 tff(21907,plain,
% 54.39/34.63 ((~v90(constB128, 0)) | (~v100(constB128))),
% 54.39/34.63 inference(unit_resolution,[status(thm)],[21906, 1704, 21900])).
% 54.39/34.63 tff(21908,plain,
% 54.39/34.63 (~v90(constB128, 0)),
% 54.39/34.63 inference(unit_resolution,[status(thm)],[21907, 21800])).
% 54.39/34.63 tff(21909,plain,
% 54.39/34.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB128, 0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB128, 0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 0)))),
% 54.39/34.63 inference(rewrite,[status(thm)],[])).
% 54.39/34.63 tff(21910,plain,
% 54.39/34.63 (((~nextState(constB128, constB129)) | v90(constB128, 0) | v100(constB129) | (~v90(constB129, 0))) <=> (v90(constB128, 0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 0)))),
% 54.39/34.63 inference(rewrite,[status(thm)],[])).
% 54.39/34.63 tff(21911,plain,
% 54.39/34.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB128, constB129)) | v90(constB128, 0) | v100(constB129) | (~v90(constB129, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB128, 0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 0))))),
% 54.39/34.63 inference(monotonicity,[status(thm)],[21910])).
% 54.39/34.63 tff(21912,plain,
% 54.39/34.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB128, constB129)) | v90(constB128, 0) | v100(constB129) | (~v90(constB129, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB128, 0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 0)))),
% 54.39/34.63 inference(transitivity,[status(thm)],[21911, 21909])).
% 54.39/34.63 tff(21913,plain,
% 54.39/34.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB128, constB129)) | v90(constB128, 0) | v100(constB129) | (~v90(constB129, 0)))),
% 54.39/34.63 inference(quant_inst,[status(thm)],[])).
% 54.39/34.63 tff(21914,plain,
% 54.39/34.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB128, 0) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 0))),
% 54.39/34.63 inference(modus_ponens,[status(thm)],[21913, 21912])).
% 54.39/34.63 tff(21915,plain,
% 54.39/34.63 (v90(constB128, 0) | v100(constB129) | (~v90(constB129, 0))),
% 54.39/34.63 inference(unit_resolution,[status(thm)],[21914, 947, 21828])).
% 54.39/34.63 tff(21916,plain,
% 54.39/34.63 (v90(constB128, 0) | (~v90(constB129, 0))),
% 54.39/34.63 inference(unit_resolution,[status(thm)],[21915, 21840])).
% 54.39/34.63 tff(21917,plain,
% 54.39/34.63 (~v90(constB129, 0)),
% 54.39/34.63 inference(unit_resolution,[status(thm)],[21916, 21908])).
% 54.39/34.63 tff(21918,plain,
% 54.39/34.63 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB129, 0) | v90(constB129, 1) | (~v90(constB129, 2)) | v123(constB129))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB129, 0) | v90(constB129, 1) | (~v90(constB129, 2)) | v123(constB129))),
% 54.39/34.63 inference(rewrite,[status(thm)],[])).
% 54.39/34.63 tff(21919,plain,
% 54.39/34.63 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB129, 0) | v90(constB129, 1) | (~v90(constB129, 2)) | v123(constB129))),
% 54.39/34.63 inference(quant_inst,[status(thm)],[])).
% 54.39/34.63 tff(21920,plain,
% 54.39/34.63 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB129, 0) | v90(constB129, 1) | (~v90(constB129, 2)) | v123(constB129)),
% 54.39/34.63 inference(modus_ponens,[status(thm)],[21919, 21918])).
% 54.39/34.63 tff(21921,plain,
% 54.39/34.63 (v123(constB129)),
% 54.39/34.63 inference(unit_resolution,[status(thm)],[21920, 2308, 21917, 21883, 21849])).
% 54.39/34.63 tff(21922,plain,
% 54.39/34.63 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB129) | (~v123(constB129)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB129) | (~v123(constB129)))),
% 54.39/34.63 inference(rewrite,[status(thm)],[])).
% 54.39/34.63 tff(21923,plain,
% 54.39/34.63 (((~v123(constB129)) | v115(constB129)) <=> (v115(constB129) | (~v123(constB129)))),
% 54.39/34.63 inference(rewrite,[status(thm)],[])).
% 54.39/34.63 tff(21924,plain,
% 54.39/34.63 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB129)) | v115(constB129))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB129) | (~v123(constB129))))),
% 54.39/34.63 inference(monotonicity,[status(thm)],[21923])).
% 54.39/34.63 tff(21925,plain,
% 54.39/34.63 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB129)) | v115(constB129))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB129) | (~v123(constB129)))),
% 54.39/34.63 inference(transitivity,[status(thm)],[21924, 21922])).
% 54.39/34.63 tff(21926,plain,
% 54.39/34.63 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB129)) | v115(constB129))),
% 54.39/34.63 inference(quant_inst,[status(thm)],[])).
% 54.39/34.63 tff(21927,plain,
% 54.39/34.63 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB129) | (~v123(constB129))),
% 54.39/34.63 inference(modus_ponens,[status(thm)],[21926, 21925])).
% 54.39/34.63 tff(21928,plain,
% 54.39/34.63 (v115(constB129)),
% 54.39/34.63 inference(unit_resolution,[status(thm)],[21927, 2291, 21921])).
% 54.39/34.63 tff(21929,plain,
% 54.39/34.63 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB129) | (~v115(constB129)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB129) | (~v115(constB129)))),
% 54.39/34.63 inference(rewrite,[status(thm)],[])).
% 54.39/34.63 tff(21930,plain,
% 54.39/34.63 (((~v115(constB129)) | v114(constB129)) <=> (v114(constB129) | (~v115(constB129)))),
% 54.39/34.63 inference(rewrite,[status(thm)],[])).
% 54.39/34.63 tff(21931,plain,
% 54.39/34.63 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB129)) | v114(constB129))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB129) | (~v115(constB129))))),
% 54.39/34.63 inference(monotonicity,[status(thm)],[21930])).
% 54.39/34.63 tff(21932,plain,
% 54.39/34.63 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB129)) | v114(constB129))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB129) | (~v115(constB129)))),
% 54.39/34.63 inference(transitivity,[status(thm)],[21931, 21929])).
% 54.39/34.63 tff(21933,plain,
% 54.39/34.63 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB129)) | v114(constB129))),
% 54.39/34.63 inference(quant_inst,[status(thm)],[])).
% 54.39/34.63 tff(21934,plain,
% 54.39/34.63 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB129) | (~v115(constB129))),
% 54.39/34.63 inference(modus_ponens,[status(thm)],[21933, 21932])).
% 54.39/34.63 tff(21935,plain,
% 54.39/34.63 (v114(constB129)),
% 54.39/34.63 inference(unit_resolution,[status(thm)],[21934, 1035, 21928])).
% 54.39/34.63 tff(21936,plain,
% 54.39/34.63 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB129)) | v113(constB129))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB129)) | v113(constB129))),
% 54.39/34.63 inference(rewrite,[status(thm)],[])).
% 54.39/34.63 tff(21937,plain,
% 54.39/34.63 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB129)) | v113(constB129))),
% 54.39/34.63 inference(quant_inst,[status(thm)],[])).
% 54.39/34.63 tff(21938,plain,
% 54.39/34.63 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB129)) | v113(constB129)),
% 54.39/34.63 inference(modus_ponens,[status(thm)],[21937, 21936])).
% 54.39/34.63 tff(21939,plain,
% 54.39/34.63 (v113(constB129)),
% 54.39/34.63 inference(unit_resolution,[status(thm)],[21938, 1049, 21935])).
% 54.39/34.63 tff(21940,assumption,(v26(constB129)), introduced(assumption)).
% 54.39/34.63 tff(21941,plain,
% 54.39/34.63 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB129))),
% 54.39/34.63 inference(quant_inst,[status(thm)],[])).
% 54.39/34.63 tff(21942,plain,
% 54.39/34.63 ($false),
% 54.39/34.63 inference(unit_resolution,[status(thm)],[21941, 828, 21940])).
% 54.39/34.63 tff(21943,plain,(~v26(constB129)), inference(lemma,lemma(discharge,[]))).
% 54.39/34.63 tff(21944,plain,
% 54.39/34.63 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB129) | v112(constB129) | (~v113(constB129)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB129) | v112(constB129) | (~v113(constB129)))),
% 54.39/34.63 inference(rewrite,[status(thm)],[])).
% 54.39/34.63 tff(21945,plain,
% 54.39/34.63 ((v26(constB129) | (~v113(constB129)) | v112(constB129)) <=> (v26(constB129) | v112(constB129) | (~v113(constB129)))),
% 54.39/34.63 inference(rewrite,[status(thm)],[])).
% 54.39/34.63 tff(21946,plain,
% 54.39/34.63 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB129) | (~v113(constB129)) | v112(constB129))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB129) | v112(constB129) | (~v113(constB129))))),
% 54.39/34.63 inference(monotonicity,[status(thm)],[21945])).
% 54.39/34.63 tff(21947,plain,
% 54.39/34.63 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB129) | (~v113(constB129)) | v112(constB129))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB129) | v112(constB129) | (~v113(constB129)))),
% 54.39/34.63 inference(transitivity,[status(thm)],[21946, 21944])).
% 54.39/34.63 tff(21948,plain,
% 54.39/34.63 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB129) | (~v113(constB129)) | v112(constB129))),
% 54.39/34.63 inference(quant_inst,[status(thm)],[])).
% 54.39/34.63 tff(21949,plain,
% 54.39/34.63 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB129) | v112(constB129) | (~v113(constB129))),
% 54.39/34.63 inference(modus_ponens,[status(thm)],[21948, 21947])).
% 54.39/34.63 tff(21950,plain,
% 54.39/34.63 (v112(constB129) | (~v113(constB129))),
% 54.39/34.63 inference(unit_resolution,[status(thm)],[21949, 1063, 21943])).
% 54.39/34.63 tff(21951,plain,
% 54.39/34.63 (v112(constB129)),
% 54.39/34.63 inference(unit_resolution,[status(thm)],[21950, 21939])).
% 54.39/34.63 tff(21952,plain,
% 54.39/34.63 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB129) | (~v112(constB129)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB129) | (~v112(constB129)))),
% 54.39/34.63 inference(rewrite,[status(thm)],[])).
% 54.39/34.63 tff(21953,plain,
% 54.39/34.63 (((~v112(constB129)) | v108(constB129)) <=> (v108(constB129) | (~v112(constB129)))),
% 54.39/34.63 inference(rewrite,[status(thm)],[])).
% 54.39/34.63 tff(21954,plain,
% 54.39/34.63 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB129)) | v108(constB129))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB129) | (~v112(constB129))))),
% 54.39/34.63 inference(monotonicity,[status(thm)],[21953])).
% 54.39/34.63 tff(21955,plain,
% 54.39/34.63 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB129)) | v108(constB129))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB129) | (~v112(constB129)))),
% 54.39/34.63 inference(transitivity,[status(thm)],[21954, 21952])).
% 54.39/34.63 tff(21956,plain,
% 54.39/34.63 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB129)) | v108(constB129))),
% 54.39/34.63 inference(quant_inst,[status(thm)],[])).
% 54.39/34.63 tff(21957,plain,
% 54.39/34.63 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB129) | (~v112(constB129))),
% 54.39/34.63 inference(modus_ponens,[status(thm)],[21956, 21955])).
% 54.39/34.63 tff(21958,plain,
% 54.39/34.63 (v108(constB129)),
% 54.39/34.63 inference(unit_resolution,[status(thm)],[21957, 1075, 21951])).
% 54.39/34.63 tff(21959,plain,
% 54.39/34.63 (nextState(constB129, constB130) <=> nextState(constB129, constB130)),
% 54.39/34.63 inference(rewrite,[status(thm)],[])).
% 54.39/34.63 tff(21960,axiom,(nextState(constB129, constB130)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_129_1')).
% 54.39/34.63 tff(21961,plain,
% 54.39/34.63 (nextState(constB129, constB130)),
% 54.39/34.63 inference(modus_ponens,[status(thm)],[21960, 21959])).
% 54.39/34.63 tff(21962,plain,
% 54.39/34.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129)))),
% 54.39/34.63 inference(rewrite,[status(thm)],[])).
% 54.39/34.63 tff(21963,plain,
% 54.39/34.63 (((~nextState(constB129, constB130)) | (~v108(constB129)) | v110(constB130)) <=> ((~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129)))),
% 54.39/34.63 inference(rewrite,[status(thm)],[])).
% 54.39/34.63 tff(21964,plain,
% 54.39/34.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB129, constB130)) | (~v108(constB129)) | v110(constB130))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129))))),
% 54.39/34.63 inference(monotonicity,[status(thm)],[21963])).
% 54.39/34.63 tff(21965,plain,
% 54.39/34.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB129, constB130)) | (~v108(constB129)) | v110(constB130))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129)))),
% 54.39/34.63 inference(transitivity,[status(thm)],[21964, 21962])).
% 54.39/34.63 tff(21966,plain,
% 54.39/34.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB129, constB130)) | (~v108(constB129)) | v110(constB130))),
% 54.39/34.63 inference(quant_inst,[status(thm)],[])).
% 54.39/34.63 tff(21967,plain,
% 54.39/34.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB129, constB130)) | v110(constB130) | (~v108(constB129))),
% 54.39/34.63 inference(modus_ponens,[status(thm)],[21966, 21965])).
% 54.39/34.63 tff(21968,plain,
% 54.39/34.63 (v110(constB130) | (~v108(constB129))),
% 54.39/34.63 inference(unit_resolution,[status(thm)],[21967, 1095, 21961])).
% 54.39/34.63 tff(21969,plain,
% 54.39/34.63 (v110(constB130)),
% 54.39/34.63 inference(unit_resolution,[status(thm)],[21968, 21958])).
% 54.39/34.63 tff(21970,plain,
% 54.39/34.63 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB129) | (~nextState(constB129, constB130)) | (~v104(constB130)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB129) | (~nextState(constB129, constB130)) | (~v104(constB130)))),
% 54.39/34.63 inference(rewrite,[status(thm)],[])).
% 54.39/34.63 tff(21971,plain,
% 54.39/34.63 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB129) | (~nextState(constB129, constB130)) | (~v104(constB130)))),
% 54.39/34.63 inference(quant_inst,[status(thm)],[])).
% 54.39/34.63 tff(21972,plain,
% 54.39/34.63 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB129) | (~nextState(constB129, constB130)) | (~v104(constB130))),
% 54.39/34.63 inference(modus_ponens,[status(thm)],[21971, 21970])).
% 54.39/34.63 tff(21973,plain,
% 54.39/34.63 (~v104(constB130)),
% 54.39/34.63 inference(unit_resolution,[status(thm)],[21972, 1113, 21961, 21825])).
% 54.39/34.63 tff(21974,plain,
% 54.39/34.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB129, constB130)) | v102(constB130) | v104(constB130))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB129, constB130)) | v102(constB130) | v104(constB130))),
% 54.39/34.63 inference(rewrite,[status(thm)],[])).
% 54.39/34.63 tff(21975,plain,
% 54.39/34.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB129, constB130)) | v102(constB130) | v104(constB130))),
% 54.39/34.63 inference(quant_inst,[status(thm)],[])).
% 54.39/34.63 tff(21976,plain,
% 54.39/34.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB129, constB130)) | v102(constB130) | v104(constB130)),
% 54.39/34.63 inference(modus_ponens,[status(thm)],[21975, 21974])).
% 54.39/34.63 tff(21977,plain,
% 54.39/34.63 (v102(constB130) | v104(constB130)),
% 54.39/34.63 inference(unit_resolution,[status(thm)],[21976, 1127, 21961])).
% 54.39/34.63 tff(21978,plain,
% 54.39/34.63 (v102(constB130)),
% 54.39/34.63 inference(unit_resolution,[status(thm)],[21977, 21973])).
% 54.39/34.63 tff(21979,plain,
% 54.39/34.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB129, constB130)) | v101(constB130) | (~v102(constB130)) | (~v1(constB130)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB129, constB130)) | v101(constB130) | (~v102(constB130)) | (~v1(constB130)))),
% 54.39/34.63 inference(rewrite,[status(thm)],[])).
% 54.39/34.63 tff(21980,plain,
% 54.39/34.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB129, constB130)) | v101(constB130) | (~v102(constB130)) | (~v1(constB130)))),
% 54.39/34.63 inference(quant_inst,[status(thm)],[])).
% 54.39/34.63 tff(21981,plain,
% 54.39/34.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB129, constB130)) | v101(constB130) | (~v102(constB130)) | (~v1(constB130))),
% 54.39/34.63 inference(modus_ponens,[status(thm)],[21980, 21979])).
% 54.39/34.63 tff(21982,plain,
% 54.39/34.63 (v101(constB130) | (~v102(constB130))),
% 54.39/34.63 inference(unit_resolution,[status(thm)],[21981, 1145, 21961, 321])).
% 54.39/34.63 tff(21983,plain,
% 54.39/34.63 (v101(constB130)),
% 54.39/34.63 inference(unit_resolution,[status(thm)],[21982, 21978])).
% 54.39/34.63 tff(21984,plain,
% 54.39/34.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130)))),
% 54.39/34.63 inference(rewrite,[status(thm)],[])).
% 54.39/34.63 tff(21985,plain,
% 54.39/34.63 (((~nextState(constB129, constB130)) | (~v101(constB130)) | (~v110(constB130)) | v100(constB130)) <=> ((~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130)))),
% 54.39/34.63 inference(rewrite,[status(thm)],[])).
% 54.39/34.63 tff(21986,plain,
% 54.39/34.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB129, constB130)) | (~v101(constB130)) | (~v110(constB130)) | v100(constB130))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130))))),
% 54.39/34.63 inference(monotonicity,[status(thm)],[21985])).
% 54.39/34.63 tff(21987,plain,
% 54.39/34.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB129, constB130)) | (~v101(constB130)) | (~v110(constB130)) | v100(constB130))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130)))),
% 54.39/34.63 inference(transitivity,[status(thm)],[21986, 21984])).
% 54.39/34.63 tff(21988,plain,
% 54.39/34.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB129, constB130)) | (~v101(constB130)) | (~v110(constB130)) | v100(constB130))),
% 54.39/34.63 inference(quant_inst,[status(thm)],[])).
% 54.39/34.63 tff(21989,plain,
% 54.39/34.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB129, constB130)) | v100(constB130) | (~v101(constB130)) | (~v110(constB130))),
% 54.39/34.63 inference(modus_ponens,[status(thm)],[21988, 21987])).
% 54.39/34.63 tff(21990,plain,
% 54.39/34.63 (v100(constB130) | (~v101(constB130)) | (~v110(constB130))),
% 54.39/34.63 inference(unit_resolution,[status(thm)],[21989, 1160, 21961])).
% 54.39/34.63 tff(21991,plain,
% 54.39/34.63 (v100(constB130) | (~v110(constB130))),
% 54.39/34.63 inference(unit_resolution,[status(thm)],[21990, 21983])).
% 54.39/34.63 tff(21992,plain,
% 54.39/34.63 (v100(constB130)),
% 54.39/34.63 inference(unit_resolution,[status(thm)],[21991, 21969])).
% 54.39/34.63 tff(21993,plain,
% 54.39/34.63 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB129)) | v130(constB129, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB129)) | v130(constB129, 2))),
% 54.39/34.63 inference(rewrite,[status(thm)],[])).
% 54.39/34.63 tff(21994,plain,
% 54.39/34.63 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB129)) | v130(constB129, 2))),
% 54.39/34.63 inference(quant_inst,[status(thm)],[])).
% 54.39/34.63 tff(21995,plain,
% 54.39/34.63 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB129)) | v130(constB129, 2)),
% 54.39/34.63 inference(modus_ponens,[status(thm)],[21994, 21993])).
% 54.39/34.63 tff(21996,plain,
% 54.39/34.63 (v130(constB129, 2)),
% 54.39/34.63 inference(unit_resolution,[status(thm)],[21995, 2525, 21921])).
% 54.39/34.63 tff(21997,plain,
% 54.39/34.63 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB129) | (~v130(constB129, 2)) | v127(constB129, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB129) | (~v130(constB129, 2)) | v127(constB129, 2))),
% 54.39/34.63 inference(rewrite,[status(thm)],[])).
% 54.39/34.63 tff(21998,plain,
% 54.39/34.63 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB129) | (~v130(constB129, 2)) | v127(constB129, 2))),
% 54.39/34.63 inference(quant_inst,[status(thm)],[])).
% 54.39/34.63 tff(21999,plain,
% 54.39/34.63 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB129) | (~v130(constB129, 2)) | v127(constB129, 2)),
% 54.39/34.63 inference(modus_ponens,[status(thm)],[21998, 21997])).
% 54.39/34.63 tff(22000,plain,
% 54.39/34.63 ((~v130(constB129, 2)) | v127(constB129, 2)),
% 54.39/34.63 inference(unit_resolution,[status(thm)],[21999, 1981, 21943])).
% 54.39/34.63 tff(22001,plain,
% 54.39/34.63 (v127(constB129, 2)),
% 54.39/34.63 inference(unit_resolution,[status(thm)],[22000, 21996])).
% 54.39/34.63 tff(22002,plain,
% 54.39/34.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB129, constB130)) | (~v127(constB129, 2)) | v129(constB130, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB129, constB130)) | (~v127(constB129, 2)) | v129(constB130, 2))),
% 54.39/34.63 inference(rewrite,[status(thm)],[])).
% 54.39/34.63 tff(22003,plain,
% 54.39/34.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB129, constB130)) | (~v127(constB129, 2)) | v129(constB130, 2))),
% 54.39/34.63 inference(quant_inst,[status(thm)],[])).
% 54.39/34.63 tff(22004,plain,
% 54.39/34.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB129, constB130)) | (~v127(constB129, 2)) | v129(constB130, 2)),
% 54.39/34.63 inference(modus_ponens,[status(thm)],[22003, 22002])).
% 54.39/34.63 tff(22005,plain,
% 54.39/34.63 ((~v127(constB129, 2)) | v129(constB130, 2)),
% 54.39/34.63 inference(unit_resolution,[status(thm)],[22004, 1999, 21961])).
% 54.39/34.63 tff(22006,plain,
% 54.39/34.63 (v129(constB130, 2)),
% 54.39/34.63 inference(unit_resolution,[status(thm)],[22005, 22001])).
% 54.39/34.63 tff(22007,plain,
% 54.39/34.63 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB130, 2) | (~v129(constB130, 2)) | (~v100(constB130)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB130, 2) | (~v129(constB130, 2)) | (~v100(constB130)))),
% 54.39/34.63 inference(rewrite,[status(thm)],[])).
% 54.39/34.63 tff(22008,plain,
% 54.39/34.63 ((v90(constB130, 2) | (~v100(constB130)) | (~v129(constB130, 2))) <=> (v90(constB130, 2) | (~v129(constB130, 2)) | (~v100(constB130)))),
% 54.39/34.63 inference(rewrite,[status(thm)],[])).
% 54.39/34.63 tff(22009,plain,
% 54.39/34.63 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB130, 2) | (~v100(constB130)) | (~v129(constB130, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB130, 2) | (~v129(constB130, 2)) | (~v100(constB130))))),
% 54.39/34.63 inference(monotonicity,[status(thm)],[22008])).
% 54.39/34.63 tff(22010,plain,
% 54.39/34.63 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB130, 2) | (~v100(constB130)) | (~v129(constB130, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB130, 2) | (~v129(constB130, 2)) | (~v100(constB130)))),
% 54.39/34.63 inference(transitivity,[status(thm)],[22009, 22007])).
% 54.39/34.63 tff(22011,plain,
% 54.39/34.63 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB130, 2) | (~v100(constB130)) | (~v129(constB130, 2)))),
% 54.39/34.63 inference(quant_inst,[status(thm)],[])).
% 54.39/34.63 tff(22012,plain,
% 54.39/34.63 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB130, 2) | (~v129(constB130, 2)) | (~v100(constB130))),
% 54.39/34.63 inference(modus_ponens,[status(thm)],[22011, 22010])).
% 54.39/34.63 tff(22013,plain,
% 54.39/34.63 (v90(constB130, 2) | (~v100(constB130))),
% 54.39/34.63 inference(unit_resolution,[status(thm)],[22012, 2324, 22006])).
% 54.39/34.63 tff(22014,plain,
% 54.39/34.63 (v90(constB130, 2)),
% 54.39/34.63 inference(unit_resolution,[status(thm)],[22013, 21992])).
% 54.39/34.63 tff(22015,plain,
% 54.39/34.63 ((~v1(constB131)) <=> (~v1(constB131))),
% 54.39/34.63 inference(rewrite,[status(thm)],[])).
% 54.39/34.63 tff(22016,axiom,(~v1(constB131)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_131_1_1')).
% 54.39/34.63 tff(22017,plain,
% 54.39/34.63 (~v1(constB131)),
% 54.39/34.63 inference(modus_ponens,[status(thm)],[22016, 22015])).
% 54.39/34.64 tff(22018,plain,
% 54.39/34.64 (nextState(constB130, constB131) <=> nextState(constB130, constB131)),
% 54.39/34.64 inference(rewrite,[status(thm)],[])).
% 54.39/34.64 tff(22019,axiom,(nextState(constB130, constB131)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_130_1')).
% 54.39/34.64 tff(22020,plain,
% 54.39/34.64 (nextState(constB130, constB131)),
% 54.39/34.64 inference(modus_ponens,[status(thm)],[22019, 22018])).
% 54.39/34.64 tff(22021,plain,
% 54.39/34.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131)))),
% 54.39/34.64 inference(rewrite,[status(thm)],[])).
% 54.39/34.64 tff(22022,plain,
% 54.39/34.64 (((~nextState(constB130, constB131)) | (~v101(constB131)) | v1(constB131)) <=> (v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131)))),
% 54.39/34.64 inference(rewrite,[status(thm)],[])).
% 54.39/34.64 tff(22023,plain,
% 54.39/34.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB130, constB131)) | (~v101(constB131)) | v1(constB131))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131))))),
% 54.39/34.64 inference(monotonicity,[status(thm)],[22022])).
% 54.39/34.64 tff(22024,plain,
% 54.39/34.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB130, constB131)) | (~v101(constB131)) | v1(constB131))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131)))),
% 54.39/34.64 inference(transitivity,[status(thm)],[22023, 22021])).
% 54.39/34.64 tff(22025,plain,
% 54.39/34.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB130, constB131)) | (~v101(constB131)) | v1(constB131))),
% 54.39/34.64 inference(quant_inst,[status(thm)],[])).
% 54.39/34.64 tff(22026,plain,
% 54.39/34.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB131) | (~nextState(constB130, constB131)) | (~v101(constB131))),
% 54.39/34.64 inference(modus_ponens,[status(thm)],[22025, 22024])).
% 54.39/34.64 tff(22027,plain,
% 54.39/34.64 (~v101(constB131)),
% 54.39/34.64 inference(unit_resolution,[status(thm)],[22026, 873, 22020, 22017])).
% 54.39/34.64 tff(22028,plain,
% 54.39/34.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB130, constB131)) | v101(constB131) | (~v100(constB131)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB130, constB131)) | v101(constB131) | (~v100(constB131)))),
% 54.39/34.64 inference(rewrite,[status(thm)],[])).
% 54.39/34.64 tff(22029,plain,
% 54.39/34.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB130, constB131)) | v101(constB131) | (~v100(constB131)))),
% 54.39/34.64 inference(quant_inst,[status(thm)],[])).
% 54.39/34.64 tff(22030,plain,
% 54.39/34.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB130, constB131)) | v101(constB131) | (~v100(constB131))),
% 54.39/34.64 inference(modus_ponens,[status(thm)],[22029, 22028])).
% 54.39/34.64 tff(22031,plain,
% 54.39/34.64 (v101(constB131) | (~v100(constB131))),
% 54.39/34.64 inference(unit_resolution,[status(thm)],[22030, 890, 22020])).
% 54.39/34.64 tff(22032,plain,
% 54.39/34.64 (~v100(constB131)),
% 54.39/34.64 inference(unit_resolution,[status(thm)],[22031, 22027])).
% 54.39/34.64 tff(22033,plain,
% 54.39/34.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB130, 2)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB130, 2)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, 2))),
% 54.39/34.64 inference(rewrite,[status(thm)],[])).
% 54.39/34.64 tff(22034,plain,
% 54.39/34.64 (((~nextState(constB130, constB131)) | (~v90(constB130, 2)) | v100(constB131) | v90(constB131, 2)) <=> ((~v90(constB130, 2)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, 2))),
% 54.39/34.64 inference(rewrite,[status(thm)],[])).
% 54.39/34.64 tff(22035,plain,
% 54.39/34.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB130, constB131)) | (~v90(constB130, 2)) | v100(constB131) | v90(constB131, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB130, 2)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, 2)))),
% 54.39/34.64 inference(monotonicity,[status(thm)],[22034])).
% 54.39/34.64 tff(22036,plain,
% 54.39/34.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB130, constB131)) | (~v90(constB130, 2)) | v100(constB131) | v90(constB131, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB130, 2)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, 2))),
% 54.39/34.64 inference(transitivity,[status(thm)],[22035, 22033])).
% 54.39/34.64 tff(22037,plain,
% 54.39/34.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB130, constB131)) | (~v90(constB130, 2)) | v100(constB131) | v90(constB131, 2))),
% 54.39/34.64 inference(quant_inst,[status(thm)],[])).
% 54.39/34.64 tff(22038,plain,
% 54.39/34.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB130, 2)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, 2)),
% 54.39/34.64 inference(modus_ponens,[status(thm)],[22037, 22036])).
% 54.39/34.64 tff(22039,plain,
% 54.39/34.64 ((~v90(constB130, 2)) | v100(constB131) | v90(constB131, 2)),
% 54.39/34.64 inference(unit_resolution,[status(thm)],[22038, 2174, 22020])).
% 54.39/34.64 tff(22040,plain,
% 54.39/34.64 ((~v90(constB130, 2)) | v90(constB131, 2)),
% 54.39/34.64 inference(unit_resolution,[status(thm)],[22039, 22032])).
% 54.39/34.64 tff(22041,plain,
% 54.39/34.64 (v90(constB131, 2)),
% 54.39/34.64 inference(unit_resolution,[status(thm)],[22040, 22014])).
% 54.39/34.64 tff(22042,plain,
% 54.39/34.64 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB129)) | (~v130(constB129, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB129)) | (~v130(constB129, 1)))),
% 54.39/34.64 inference(rewrite,[status(thm)],[])).
% 54.39/34.64 tff(22043,plain,
% 54.39/34.64 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB129)) | (~v130(constB129, 1)))),
% 54.39/34.64 inference(quant_inst,[status(thm)],[])).
% 54.39/34.64 tff(22044,plain,
% 54.39/34.64 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB129)) | (~v130(constB129, 1))),
% 54.39/34.64 inference(modus_ponens,[status(thm)],[22043, 22042])).
% 54.39/34.64 tff(22045,plain,
% 54.39/34.64 (~v130(constB129, 1)),
% 54.39/34.64 inference(unit_resolution,[status(thm)],[22044, 2581, 21921])).
% 54.39/34.64 tff(22046,plain,
% 54.39/34.64 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB129, 1)) | v26(constB129) | v130(constB129, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB129, 1)) | v26(constB129) | v130(constB129, 1))),
% 54.39/34.64 inference(rewrite,[status(thm)],[])).
% 54.39/34.64 tff(22047,plain,
% 54.39/34.64 ((v26(constB129) | v130(constB129, 1) | (~v127(constB129, 1))) <=> ((~v127(constB129, 1)) | v26(constB129) | v130(constB129, 1))),
% 54.39/34.64 inference(rewrite,[status(thm)],[])).
% 54.39/34.64 tff(22048,plain,
% 54.39/34.64 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB129) | v130(constB129, 1) | (~v127(constB129, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB129, 1)) | v26(constB129) | v130(constB129, 1)))),
% 54.39/34.64 inference(monotonicity,[status(thm)],[22047])).
% 54.39/34.64 tff(22049,plain,
% 54.39/34.64 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB129) | v130(constB129, 1) | (~v127(constB129, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB129, 1)) | v26(constB129) | v130(constB129, 1))),
% 54.39/34.64 inference(transitivity,[status(thm)],[22048, 22046])).
% 54.39/34.64 tff(22050,plain,
% 54.39/34.64 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB129) | v130(constB129, 1) | (~v127(constB129, 1)))),
% 54.39/34.64 inference(quant_inst,[status(thm)],[])).
% 54.39/34.64 tff(22051,plain,
% 54.39/34.64 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB129, 1)) | v26(constB129) | v130(constB129, 1)),
% 54.39/34.64 inference(modus_ponens,[status(thm)],[22050, 22049])).
% 54.39/34.64 tff(22052,plain,
% 54.39/34.64 ((~v127(constB129, 1)) | v130(constB129, 1)),
% 54.39/34.64 inference(unit_resolution,[status(thm)],[22051, 1276, 21943])).
% 54.39/34.64 tff(22053,plain,
% 54.39/34.64 (~v127(constB129, 1)),
% 54.39/34.64 inference(unit_resolution,[status(thm)],[22052, 22045])).
% 54.39/34.64 tff(22054,plain,
% 54.39/34.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB129, constB130)) | v127(constB129, 1) | (~v129(constB130, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB129, constB130)) | v127(constB129, 1) | (~v129(constB130, 1)))),
% 54.39/34.64 inference(rewrite,[status(thm)],[])).
% 54.39/34.64 tff(22055,plain,
% 54.39/34.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB129, constB130)) | v127(constB129, 1) | (~v129(constB130, 1)))),
% 54.39/34.64 inference(quant_inst,[status(thm)],[])).
% 54.39/34.64 tff(22056,plain,
% 54.39/34.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB129, constB130)) | v127(constB129, 1) | (~v129(constB130, 1))),
% 54.39/34.64 inference(modus_ponens,[status(thm)],[22055, 22054])).
% 54.39/34.64 tff(22057,plain,
% 54.39/34.64 (v127(constB129, 1) | (~v129(constB130, 1))),
% 54.39/34.64 inference(unit_resolution,[status(thm)],[22056, 1294, 21961])).
% 54.39/34.64 tff(22058,plain,
% 54.39/34.64 (~v129(constB130, 1)),
% 54.39/34.64 inference(unit_resolution,[status(thm)],[22057, 22053])).
% 54.39/34.64 tff(22059,plain,
% 54.39/34.64 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB130, 1)) | v129(constB130, 1) | (~v100(constB130)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB130, 1)) | v129(constB130, 1) | (~v100(constB130)))),
% 54.39/34.64 inference(rewrite,[status(thm)],[])).
% 54.39/34.64 tff(22060,plain,
% 54.39/34.64 (((~v90(constB130, 1)) | (~v100(constB130)) | v129(constB130, 1)) <=> ((~v90(constB130, 1)) | v129(constB130, 1) | (~v100(constB130)))),
% 54.39/34.64 inference(rewrite,[status(thm)],[])).
% 54.39/34.64 tff(22061,plain,
% 54.39/34.64 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB130, 1)) | (~v100(constB130)) | v129(constB130, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB130, 1)) | v129(constB130, 1) | (~v100(constB130))))),
% 54.39/34.64 inference(monotonicity,[status(thm)],[22060])).
% 54.39/34.64 tff(22062,plain,
% 54.39/34.64 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB130, 1)) | (~v100(constB130)) | v129(constB130, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB130, 1)) | v129(constB130, 1) | (~v100(constB130)))),
% 54.39/34.64 inference(transitivity,[status(thm)],[22061, 22059])).
% 54.39/34.64 tff(22063,plain,
% 54.39/34.64 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB130, 1)) | (~v100(constB130)) | v129(constB130, 1))),
% 54.39/34.64 inference(quant_inst,[status(thm)],[])).
% 54.39/34.64 tff(22064,plain,
% 54.39/34.64 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB130, 1)) | v129(constB130, 1) | (~v100(constB130))),
% 54.39/34.64 inference(modus_ponens,[status(thm)],[22063, 22062])).
% 54.39/34.64 tff(22065,plain,
% 54.39/34.64 ((~v90(constB130, 1)) | (~v100(constB130))),
% 54.39/34.64 inference(unit_resolution,[status(thm)],[22064, 1309, 22058])).
% 54.39/34.64 tff(22066,plain,
% 54.39/34.64 (~v90(constB130, 1)),
% 54.39/34.64 inference(unit_resolution,[status(thm)],[22065, 21992])).
% 54.39/34.64 tff(22067,plain,
% 54.39/34.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB130, 1) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB130, 1) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, 1)))),
% 54.39/34.64 inference(rewrite,[status(thm)],[])).
% 54.39/34.64 tff(22068,plain,
% 54.39/34.64 (((~nextState(constB130, constB131)) | v90(constB130, 1) | v100(constB131) | (~v90(constB131, 1))) <=> (v90(constB130, 1) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, 1)))),
% 54.39/34.64 inference(rewrite,[status(thm)],[])).
% 54.39/34.64 tff(22069,plain,
% 54.39/34.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB130, constB131)) | v90(constB130, 1) | v100(constB131) | (~v90(constB131, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB130, 1) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, 1))))),
% 54.39/34.64 inference(monotonicity,[status(thm)],[22068])).
% 54.39/34.64 tff(22070,plain,
% 54.39/34.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB130, constB131)) | v90(constB130, 1) | v100(constB131) | (~v90(constB131, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB130, 1) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, 1)))),
% 54.39/34.64 inference(transitivity,[status(thm)],[22069, 22067])).
% 54.39/34.64 tff(22071,plain,
% 54.39/34.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB130, constB131)) | v90(constB130, 1) | v100(constB131) | (~v90(constB131, 1)))),
% 54.39/34.64 inference(quant_inst,[status(thm)],[])).
% 54.39/34.64 tff(22072,plain,
% 54.39/34.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB130, 1) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, 1))),
% 54.39/34.64 inference(modus_ponens,[status(thm)],[22071, 22070])).
% 54.39/34.64 tff(22073,plain,
% 54.39/34.64 (v90(constB130, 1) | v100(constB131) | (~v90(constB131, 1))),
% 54.39/34.64 inference(unit_resolution,[status(thm)],[22072, 926, 22020])).
% 54.39/34.64 tff(22074,plain,
% 54.39/34.64 (v90(constB130, 1) | (~v90(constB131, 1))),
% 54.39/34.64 inference(unit_resolution,[status(thm)],[22073, 22032])).
% 54.39/34.64 tff(22075,plain,
% 54.39/34.64 (~v90(constB131, 1)),
% 54.39/34.64 inference(unit_resolution,[status(thm)],[22074, 22066])).
% 54.39/34.64 tff(22076,plain,
% 54.39/34.64 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB129)) | v130(constB129, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB129)) | v130(constB129, 0))),
% 54.39/34.64 inference(rewrite,[status(thm)],[])).
% 54.39/34.64 tff(22077,plain,
% 54.39/34.64 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB129)) | v130(constB129, 0))),
% 54.39/34.64 inference(quant_inst,[status(thm)],[])).
% 54.39/34.64 tff(22078,plain,
% 54.39/34.64 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB129)) | v130(constB129, 0)),
% 54.39/34.64 inference(modus_ponens,[status(thm)],[22077, 22076])).
% 54.39/34.64 tff(22079,plain,
% 54.39/34.64 (v130(constB129, 0)),
% 54.39/34.64 inference(unit_resolution,[status(thm)],[22078, 2622, 21921])).
% 54.39/34.64 tff(22080,plain,
% 54.39/34.64 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB129) | (~v130(constB129, 0)) | v127(constB129, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB129) | (~v130(constB129, 0)) | v127(constB129, 0))),
% 54.39/34.64 inference(rewrite,[status(thm)],[])).
% 54.39/34.64 tff(22081,plain,
% 54.39/34.64 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB129) | (~v130(constB129, 0)) | v127(constB129, 0))),
% 54.39/34.64 inference(quant_inst,[status(thm)],[])).
% 54.39/34.64 tff(22082,plain,
% 54.39/34.64 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB129) | (~v130(constB129, 0)) | v127(constB129, 0)),
% 54.39/34.64 inference(modus_ponens,[status(thm)],[22081, 22080])).
% 54.39/34.64 tff(22083,plain,
% 54.39/34.64 ((~v130(constB129, 0)) | v127(constB129, 0)),
% 54.39/34.64 inference(unit_resolution,[status(thm)],[22082, 1347, 21943])).
% 54.39/34.64 tff(22084,plain,
% 54.39/34.64 (v127(constB129, 0)),
% 54.39/34.64 inference(unit_resolution,[status(thm)],[22083, 22079])).
% 54.39/34.64 tff(22085,plain,
% 54.39/34.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB129, constB130)) | (~v127(constB129, 0)) | v129(constB130, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB129, constB130)) | (~v127(constB129, 0)) | v129(constB130, 0))),
% 54.39/34.64 inference(rewrite,[status(thm)],[])).
% 54.39/34.64 tff(22086,plain,
% 54.39/34.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB129, constB130)) | (~v127(constB129, 0)) | v129(constB130, 0))),
% 54.39/34.64 inference(quant_inst,[status(thm)],[])).
% 54.39/34.64 tff(22087,plain,
% 54.39/34.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB129, constB130)) | (~v127(constB129, 0)) | v129(constB130, 0)),
% 54.39/34.64 inference(modus_ponens,[status(thm)],[22086, 22085])).
% 54.39/34.64 tff(22088,plain,
% 54.39/34.64 ((~v127(constB129, 0)) | v129(constB130, 0)),
% 54.39/34.64 inference(unit_resolution,[status(thm)],[22087, 1362, 21961])).
% 54.39/34.64 tff(22089,plain,
% 54.39/34.64 (v129(constB130, 0)),
% 54.39/34.64 inference(unit_resolution,[status(thm)],[22088, 22084])).
% 54.39/34.64 tff(22090,plain,
% 54.39/34.64 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB130, 0) | (~v129(constB130, 0)) | (~v100(constB130)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB130, 0) | (~v129(constB130, 0)) | (~v100(constB130)))),
% 54.39/34.64 inference(rewrite,[status(thm)],[])).
% 54.39/34.64 tff(22091,plain,
% 54.39/34.64 ((v90(constB130, 0) | (~v100(constB130)) | (~v129(constB130, 0))) <=> (v90(constB130, 0) | (~v129(constB130, 0)) | (~v100(constB130)))),
% 54.39/34.64 inference(rewrite,[status(thm)],[])).
% 54.39/34.64 tff(22092,plain,
% 54.39/34.64 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB130, 0) | (~v100(constB130)) | (~v129(constB130, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB130, 0) | (~v129(constB130, 0)) | (~v100(constB130))))),
% 54.39/34.64 inference(monotonicity,[status(thm)],[22091])).
% 54.39/34.64 tff(22093,plain,
% 54.39/34.64 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB130, 0) | (~v100(constB130)) | (~v129(constB130, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB130, 0) | (~v129(constB130, 0)) | (~v100(constB130)))),
% 54.39/34.64 inference(transitivity,[status(thm)],[22092, 22090])).
% 54.39/34.64 tff(22094,plain,
% 54.39/34.64 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB130, 0) | (~v100(constB130)) | (~v129(constB130, 0)))),
% 54.39/34.64 inference(quant_inst,[status(thm)],[])).
% 54.39/34.64 tff(22095,plain,
% 54.39/34.64 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB130, 0) | (~v129(constB130, 0)) | (~v100(constB130))),
% 54.39/34.64 inference(modus_ponens,[status(thm)],[22094, 22093])).
% 54.39/34.64 tff(22096,plain,
% 54.39/34.64 (v90(constB130, 0) | (~v100(constB130))),
% 54.39/34.64 inference(unit_resolution,[status(thm)],[22095, 1377, 22089])).
% 54.39/34.64 tff(22097,plain,
% 54.39/34.64 (v90(constB130, 0)),
% 54.39/34.64 inference(unit_resolution,[status(thm)],[22096, 21992])).
% 54.39/34.64 tff(22098,plain,
% 54.39/34.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB130, 0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB130, 0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, 0))),
% 54.39/34.64 inference(rewrite,[status(thm)],[])).
% 54.39/34.64 tff(22099,plain,
% 54.39/34.64 (((~nextState(constB130, constB131)) | (~v90(constB130, 0)) | v100(constB131) | v90(constB131, 0)) <=> ((~v90(constB130, 0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, 0))),
% 54.39/34.64 inference(rewrite,[status(thm)],[])).
% 54.39/34.64 tff(22100,plain,
% 54.39/34.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB130, constB131)) | (~v90(constB130, 0)) | v100(constB131) | v90(constB131, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB130, 0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, 0)))),
% 54.39/34.64 inference(monotonicity,[status(thm)],[22099])).
% 54.39/34.64 tff(22101,plain,
% 54.39/34.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB130, constB131)) | (~v90(constB130, 0)) | v100(constB131) | v90(constB131, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB130, 0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, 0))),
% 54.39/34.64 inference(transitivity,[status(thm)],[22100, 22098])).
% 54.39/34.64 tff(22102,plain,
% 54.39/34.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB130, constB131)) | (~v90(constB130, 0)) | v100(constB131) | v90(constB131, 0))),
% 54.39/34.64 inference(quant_inst,[status(thm)],[])).
% 54.39/34.64 tff(22103,plain,
% 54.39/34.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB130, 0)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, 0)),
% 54.39/34.64 inference(modus_ponens,[status(thm)],[22102, 22101])).
% 54.39/34.64 tff(22104,plain,
% 54.39/34.64 ((~v90(constB130, 0)) | v100(constB131) | v90(constB131, 0)),
% 54.39/34.64 inference(unit_resolution,[status(thm)],[22103, 1395, 22020])).
% 54.39/34.64 tff(22105,plain,
% 54.39/34.64 ((~v90(constB130, 0)) | v90(constB131, 0)),
% 54.39/34.64 inference(unit_resolution,[status(thm)],[22104, 22032])).
% 54.39/34.64 tff(22106,plain,
% 54.39/34.64 (v90(constB131, 0)),
% 54.39/34.64 inference(unit_resolution,[status(thm)],[22105, 22097])).
% 54.39/34.64 tff(22107,plain,
% 54.39/34.64 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB131, 0)) | v90(constB131, 1) | (~v90(constB131, 2)) | v124(constB131))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB131, 0)) | v90(constB131, 1) | (~v90(constB131, 2)) | v124(constB131))),
% 54.39/34.64 inference(rewrite,[status(thm)],[])).
% 54.39/34.64 tff(22108,plain,
% 54.39/34.64 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB131, 0)) | v90(constB131, 1) | (~v90(constB131, 2)) | v124(constB131))),
% 54.39/34.64 inference(quant_inst,[status(thm)],[])).
% 54.39/34.64 tff(22109,plain,
% 54.39/34.64 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB131, 0)) | v90(constB131, 1) | (~v90(constB131, 2)) | v124(constB131)),
% 54.39/34.64 inference(modus_ponens,[status(thm)],[22108, 22107])).
% 54.39/34.64 tff(22110,plain,
% 54.39/34.64 (v124(constB131)),
% 54.39/34.64 inference(unit_resolution,[status(thm)],[22109, 2663, 22106, 22075, 22041])).
% 54.39/34.64 tff(22111,plain,
% 54.39/34.64 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB131) | (~v124(constB131)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB131) | (~v124(constB131)))),
% 54.39/34.64 inference(rewrite,[status(thm)],[])).
% 54.39/34.64 tff(22112,plain,
% 54.39/34.64 (((~v124(constB131)) | v114(constB131)) <=> (v114(constB131) | (~v124(constB131)))),
% 54.39/34.64 inference(rewrite,[status(thm)],[])).
% 54.39/34.64 tff(22113,plain,
% 54.39/34.64 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB131)) | v114(constB131))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB131) | (~v124(constB131))))),
% 54.39/34.64 inference(monotonicity,[status(thm)],[22112])).
% 54.39/34.64 tff(22114,plain,
% 54.39/34.64 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB131)) | v114(constB131))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB131) | (~v124(constB131)))),
% 54.39/34.64 inference(transitivity,[status(thm)],[22113, 22111])).
% 54.39/34.64 tff(22115,plain,
% 54.39/34.64 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB131)) | v114(constB131))),
% 54.39/34.64 inference(quant_inst,[status(thm)],[])).
% 54.39/34.64 tff(22116,plain,
% 54.39/34.64 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB131) | (~v124(constB131))),
% 54.39/34.64 inference(modus_ponens,[status(thm)],[22115, 22114])).
% 54.39/34.64 tff(22117,plain,
% 54.39/34.64 (v114(constB131)),
% 54.39/34.64 inference(unit_resolution,[status(thm)],[22116, 2674, 22110])).
% 54.39/34.64 tff(22118,plain,
% 54.39/34.64 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB131) | (~v114(constB131)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB131) | (~v114(constB131)))),
% 54.39/34.64 inference(rewrite,[status(thm)],[])).
% 54.39/34.64 tff(22119,plain,
% 54.39/34.64 (((~v114(constB131)) | v113(constB131)) <=> (v113(constB131) | (~v114(constB131)))),
% 54.39/34.64 inference(rewrite,[status(thm)],[])).
% 54.39/34.64 tff(22120,plain,
% 54.39/34.64 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB131)) | v113(constB131))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB131) | (~v114(constB131))))),
% 54.39/34.64 inference(monotonicity,[status(thm)],[22119])).
% 54.39/34.64 tff(22121,plain,
% 54.39/34.64 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB131)) | v113(constB131))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB131) | (~v114(constB131)))),
% 54.39/34.64 inference(transitivity,[status(thm)],[22120, 22118])).
% 54.39/34.64 tff(22122,plain,
% 54.39/34.64 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB131)) | v113(constB131))),
% 54.39/34.64 inference(quant_inst,[status(thm)],[])).
% 54.39/34.64 tff(22123,plain,
% 54.39/34.64 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB131) | (~v114(constB131))),
% 54.39/34.64 inference(modus_ponens,[status(thm)],[22122, 22121])).
% 54.39/34.64 tff(22124,plain,
% 54.39/34.64 (v113(constB131)),
% 54.39/34.64 inference(unit_resolution,[status(thm)],[22123, 1049, 22117])).
% 54.39/34.64 tff(22125,assumption,(v26(constB131)), introduced(assumption)).
% 54.39/34.64 tff(22126,plain,
% 54.39/34.64 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB131))),
% 54.39/34.64 inference(quant_inst,[status(thm)],[])).
% 54.39/34.64 tff(22127,plain,
% 54.39/34.64 ($false),
% 54.39/34.64 inference(unit_resolution,[status(thm)],[22126, 828, 22125])).
% 54.39/34.64 tff(22128,plain,(~v26(constB131)), inference(lemma,lemma(discharge,[]))).
% 54.39/34.64 tff(22129,plain,
% 54.39/34.64 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB131) | (~v113(constB131)) | v112(constB131))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB131) | (~v113(constB131)) | v112(constB131))),
% 54.39/34.64 inference(rewrite,[status(thm)],[])).
% 54.39/34.64 tff(22130,plain,
% 54.39/34.64 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB131) | (~v113(constB131)) | v112(constB131))),
% 54.39/34.64 inference(quant_inst,[status(thm)],[])).
% 54.39/34.64 tff(22131,plain,
% 54.39/34.64 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB131) | (~v113(constB131)) | v112(constB131)),
% 54.39/34.64 inference(modus_ponens,[status(thm)],[22130, 22129])).
% 54.39/34.64 tff(22132,plain,
% 54.39/34.64 ((~v113(constB131)) | v112(constB131)),
% 54.39/34.64 inference(unit_resolution,[status(thm)],[22131, 1063, 22128])).
% 54.39/34.64 tff(22133,plain,
% 54.39/34.64 (v112(constB131)),
% 54.39/34.64 inference(unit_resolution,[status(thm)],[22132, 22124])).
% 54.39/34.64 tff(22134,plain,
% 54.39/34.64 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB131) | (~v112(constB131)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB131) | (~v112(constB131)))),
% 54.39/34.64 inference(rewrite,[status(thm)],[])).
% 54.39/34.64 tff(22135,plain,
% 54.39/34.64 (((~v112(constB131)) | v108(constB131)) <=> (v108(constB131) | (~v112(constB131)))),
% 54.39/34.64 inference(rewrite,[status(thm)],[])).
% 54.39/34.64 tff(22136,plain,
% 54.39/34.64 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB131)) | v108(constB131))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB131) | (~v112(constB131))))),
% 54.39/34.64 inference(monotonicity,[status(thm)],[22135])).
% 54.39/34.64 tff(22137,plain,
% 54.39/34.64 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB131)) | v108(constB131))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB131) | (~v112(constB131)))),
% 54.39/34.64 inference(transitivity,[status(thm)],[22136, 22134])).
% 54.39/34.64 tff(22138,plain,
% 54.39/34.64 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB131)) | v108(constB131))),
% 54.39/34.64 inference(quant_inst,[status(thm)],[])).
% 54.39/34.64 tff(22139,plain,
% 54.39/34.64 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB131) | (~v112(constB131))),
% 54.39/34.64 inference(modus_ponens,[status(thm)],[22138, 22137])).
% 54.39/34.64 tff(22140,plain,
% 54.39/34.64 (v108(constB131)),
% 54.39/34.64 inference(unit_resolution,[status(thm)],[22139, 1075, 22133])).
% 54.39/34.64 tff(22141,plain,
% 54.39/34.64 (nextState(constB131, constB132) <=> nextState(constB131, constB132)),
% 54.39/34.64 inference(rewrite,[status(thm)],[])).
% 54.39/34.64 tff(22142,axiom,(nextState(constB131, constB132)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_131_1')).
% 54.39/34.64 tff(22143,plain,
% 54.39/34.64 (nextState(constB131, constB132)),
% 54.39/34.64 inference(modus_ponens,[status(thm)],[22142, 22141])).
% 54.39/34.64 tff(22144,plain,
% 54.39/34.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131)))),
% 54.39/34.64 inference(rewrite,[status(thm)],[])).
% 54.39/34.64 tff(22145,plain,
% 54.39/34.64 (((~nextState(constB131, constB132)) | (~v108(constB131)) | v110(constB132)) <=> ((~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131)))),
% 54.39/34.64 inference(rewrite,[status(thm)],[])).
% 54.39/34.64 tff(22146,plain,
% 54.39/34.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB131, constB132)) | (~v108(constB131)) | v110(constB132))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131))))),
% 54.39/34.64 inference(monotonicity,[status(thm)],[22145])).
% 54.39/34.64 tff(22147,plain,
% 54.39/34.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB131, constB132)) | (~v108(constB131)) | v110(constB132))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131)))),
% 54.39/34.64 inference(transitivity,[status(thm)],[22146, 22144])).
% 54.39/34.64 tff(22148,plain,
% 54.39/34.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB131, constB132)) | (~v108(constB131)) | v110(constB132))),
% 54.39/34.64 inference(quant_inst,[status(thm)],[])).
% 54.39/34.64 tff(22149,plain,
% 54.39/34.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB131, constB132)) | v110(constB132) | (~v108(constB131))),
% 54.39/34.64 inference(modus_ponens,[status(thm)],[22148, 22147])).
% 54.39/34.64 tff(22150,plain,
% 54.39/34.64 (v110(constB132) | (~v108(constB131))),
% 54.39/34.64 inference(unit_resolution,[status(thm)],[22149, 1095, 22143])).
% 54.39/34.64 tff(22151,plain,
% 54.39/34.64 (v110(constB132)),
% 54.39/34.64 inference(unit_resolution,[status(thm)],[22150, 22140])).
% 54.39/34.64 tff(22152,plain,
% 54.39/34.64 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB131) | (~nextState(constB131, constB132)) | (~v104(constB132)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB131) | (~nextState(constB131, constB132)) | (~v104(constB132)))),
% 54.39/34.64 inference(rewrite,[status(thm)],[])).
% 54.39/34.64 tff(22153,plain,
% 54.39/34.64 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB131) | (~nextState(constB131, constB132)) | (~v104(constB132)))),
% 54.39/34.64 inference(quant_inst,[status(thm)],[])).
% 54.39/34.64 tff(22154,plain,
% 54.39/34.64 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB131) | (~nextState(constB131, constB132)) | (~v104(constB132))),
% 54.39/34.64 inference(modus_ponens,[status(thm)],[22153, 22152])).
% 54.39/34.64 tff(22155,plain,
% 54.39/34.64 (~v104(constB132)),
% 54.39/34.64 inference(unit_resolution,[status(thm)],[22154, 1113, 22143, 22017])).
% 54.39/34.64 tff(22156,plain,
% 54.39/34.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB131, constB132)) | v102(constB132) | v104(constB132))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB131, constB132)) | v102(constB132) | v104(constB132))),
% 54.39/34.64 inference(rewrite,[status(thm)],[])).
% 54.39/34.64 tff(22157,plain,
% 54.39/34.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB131, constB132)) | v102(constB132) | v104(constB132))),
% 54.39/34.64 inference(quant_inst,[status(thm)],[])).
% 54.39/34.64 tff(22158,plain,
% 54.39/34.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB131, constB132)) | v102(constB132) | v104(constB132)),
% 54.39/34.64 inference(modus_ponens,[status(thm)],[22157, 22156])).
% 54.39/34.64 tff(22159,plain,
% 54.39/34.64 (v102(constB132) | v104(constB132)),
% 54.39/34.64 inference(unit_resolution,[status(thm)],[22158, 1127, 22143])).
% 54.39/34.64 tff(22160,plain,
% 54.39/34.64 (v102(constB132)),
% 54.39/34.64 inference(unit_resolution,[status(thm)],[22159, 22155])).
% 54.39/34.64 tff(22161,plain,
% 54.39/34.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB131, constB132)) | v101(constB132) | (~v102(constB132)) | (~v1(constB132)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB131, constB132)) | v101(constB132) | (~v102(constB132)) | (~v1(constB132)))),
% 54.39/34.64 inference(rewrite,[status(thm)],[])).
% 54.39/34.64 tff(22162,plain,
% 54.39/34.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB131, constB132)) | v101(constB132) | (~v102(constB132)) | (~v1(constB132)))),
% 54.39/34.64 inference(quant_inst,[status(thm)],[])).
% 54.39/34.64 tff(22163,plain,
% 54.39/34.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB131, constB132)) | v101(constB132) | (~v102(constB132)) | (~v1(constB132))),
% 54.39/34.64 inference(modus_ponens,[status(thm)],[22162, 22161])).
% 54.39/34.64 tff(22164,plain,
% 54.39/34.64 (v101(constB132) | (~v102(constB132))),
% 54.39/34.64 inference(unit_resolution,[status(thm)],[22163, 1145, 22143, 112])).
% 54.39/34.64 tff(22165,plain,
% 54.39/34.64 (v101(constB132)),
% 54.39/34.64 inference(unit_resolution,[status(thm)],[22164, 22160])).
% 54.39/34.64 tff(22166,plain,
% 54.39/34.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132)))),
% 54.39/34.64 inference(rewrite,[status(thm)],[])).
% 54.39/34.64 tff(22167,plain,
% 54.39/34.64 (((~nextState(constB131, constB132)) | (~v101(constB132)) | (~v110(constB132)) | v100(constB132)) <=> ((~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132)))),
% 54.39/34.64 inference(rewrite,[status(thm)],[])).
% 54.39/34.64 tff(22168,plain,
% 54.39/34.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB131, constB132)) | (~v101(constB132)) | (~v110(constB132)) | v100(constB132))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132))))),
% 54.39/34.64 inference(monotonicity,[status(thm)],[22167])).
% 54.39/34.64 tff(22169,plain,
% 54.39/34.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB131, constB132)) | (~v101(constB132)) | (~v110(constB132)) | v100(constB132))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132)))),
% 54.39/34.64 inference(transitivity,[status(thm)],[22168, 22166])).
% 54.39/34.64 tff(22170,plain,
% 54.39/34.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB131, constB132)) | (~v101(constB132)) | (~v110(constB132)) | v100(constB132))),
% 54.39/34.64 inference(quant_inst,[status(thm)],[])).
% 54.39/34.64 tff(22171,plain,
% 54.39/34.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB131, constB132)) | v100(constB132) | (~v101(constB132)) | (~v110(constB132))),
% 54.39/34.64 inference(modus_ponens,[status(thm)],[22170, 22169])).
% 54.39/34.64 tff(22172,plain,
% 54.39/34.64 (v100(constB132) | (~v101(constB132)) | (~v110(constB132))),
% 54.39/34.64 inference(unit_resolution,[status(thm)],[22171, 1160, 22143])).
% 54.39/34.64 tff(22173,plain,
% 54.39/34.64 (v100(constB132) | (~v110(constB132))),
% 54.39/34.64 inference(unit_resolution,[status(thm)],[22172, 22165])).
% 54.39/34.64 tff(22174,plain,
% 54.39/34.64 (v100(constB132)),
% 54.39/34.64 inference(unit_resolution,[status(thm)],[22173, 22151])).
% 54.39/34.64 tff(22175,plain,
% 54.39/34.64 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB131)) | v130(constB131, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB131)) | v130(constB131, 1))),
% 54.39/34.64 inference(rewrite,[status(thm)],[])).
% 54.39/34.64 tff(22176,plain,
% 54.39/34.64 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB131)) | v130(constB131, 1))),
% 54.39/34.64 inference(quant_inst,[status(thm)],[])).
% 54.39/34.64 tff(22177,plain,
% 54.39/34.64 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB131)) | v130(constB131, 1)),
% 54.39/34.64 inference(modus_ponens,[status(thm)],[22176, 22175])).
% 54.39/34.64 tff(22178,plain,
% 54.39/34.64 (v130(constB131, 1)),
% 54.39/34.64 inference(unit_resolution,[status(thm)],[22177, 2808, 22110])).
% 54.39/34.64 tff(22179,plain,
% 54.39/34.64 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB131) | (~v130(constB131, 1)) | v127(constB131, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB131) | (~v130(constB131, 1)) | v127(constB131, 1))),
% 54.39/34.64 inference(rewrite,[status(thm)],[])).
% 54.39/34.64 tff(22180,plain,
% 54.39/34.64 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB131) | (~v130(constB131, 1)) | v127(constB131, 1))),
% 54.39/34.64 inference(quant_inst,[status(thm)],[])).
% 54.39/34.64 tff(22181,plain,
% 54.39/34.64 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB131) | (~v130(constB131, 1)) | v127(constB131, 1)),
% 54.39/34.64 inference(modus_ponens,[status(thm)],[22180, 22179])).
% 54.39/34.64 tff(22182,plain,
% 54.39/34.64 ((~v130(constB131, 1)) | v127(constB131, 1)),
% 54.39/34.64 inference(unit_resolution,[status(thm)],[22181, 1593, 22128])).
% 54.39/34.64 tff(22183,plain,
% 54.39/34.64 (v127(constB131, 1)),
% 54.39/34.64 inference(unit_resolution,[status(thm)],[22182, 22178])).
% 54.39/34.64 tff(22184,plain,
% 54.39/34.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB131, constB132)) | (~v127(constB131, 1)) | v129(constB132, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB131, constB132)) | (~v127(constB131, 1)) | v129(constB132, 1))),
% 54.39/34.64 inference(rewrite,[status(thm)],[])).
% 54.39/34.64 tff(22185,plain,
% 54.39/34.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB131, constB132)) | (~v127(constB131, 1)) | v129(constB132, 1))),
% 54.39/34.64 inference(quant_inst,[status(thm)],[])).
% 54.39/34.64 tff(22186,plain,
% 54.39/34.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB131, constB132)) | (~v127(constB131, 1)) | v129(constB132, 1)),
% 54.39/34.64 inference(modus_ponens,[status(thm)],[22185, 22184])).
% 54.39/34.64 tff(22187,plain,
% 54.39/34.64 ((~v127(constB131, 1)) | v129(constB132, 1)),
% 54.39/34.64 inference(unit_resolution,[status(thm)],[22186, 1608, 22143])).
% 54.39/34.64 tff(22188,plain,
% 54.39/34.64 (v129(constB132, 1)),
% 54.39/34.64 inference(unit_resolution,[status(thm)],[22187, 22183])).
% 54.39/34.64 tff(22189,plain,
% 54.39/34.64 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB132, 1) | (~v129(constB132, 1)) | (~v100(constB132)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB132, 1) | (~v129(constB132, 1)) | (~v100(constB132)))),
% 54.39/34.64 inference(rewrite,[status(thm)],[])).
% 54.39/34.64 tff(22190,plain,
% 54.39/34.64 ((v90(constB132, 1) | (~v100(constB132)) | (~v129(constB132, 1))) <=> (v90(constB132, 1) | (~v129(constB132, 1)) | (~v100(constB132)))),
% 54.39/34.64 inference(rewrite,[status(thm)],[])).
% 54.39/34.64 tff(22191,plain,
% 54.39/34.64 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB132, 1) | (~v100(constB132)) | (~v129(constB132, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB132, 1) | (~v129(constB132, 1)) | (~v100(constB132))))),
% 54.39/34.64 inference(monotonicity,[status(thm)],[22190])).
% 54.39/34.64 tff(22192,plain,
% 54.39/34.64 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB132, 1) | (~v100(constB132)) | (~v129(constB132, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB132, 1) | (~v129(constB132, 1)) | (~v100(constB132)))),
% 54.39/34.64 inference(transitivity,[status(thm)],[22191, 22189])).
% 54.39/34.64 tff(22193,plain,
% 54.39/34.64 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB132, 1) | (~v100(constB132)) | (~v129(constB132, 1)))),
% 54.39/34.65 inference(quant_inst,[status(thm)],[])).
% 54.39/34.65 tff(22194,plain,
% 54.39/34.65 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB132, 1) | (~v129(constB132, 1)) | (~v100(constB132))),
% 54.39/34.65 inference(modus_ponens,[status(thm)],[22193, 22192])).
% 54.39/34.65 tff(22195,plain,
% 54.39/34.65 (v90(constB132, 1) | (~v100(constB132))),
% 54.39/34.65 inference(unit_resolution,[status(thm)],[22194, 1623, 22188])).
% 54.39/34.65 tff(22196,plain,
% 54.39/34.65 (v90(constB132, 1)),
% 54.39/34.65 inference(unit_resolution,[status(thm)],[22195, 22174])).
% 54.39/34.65 tff(22197,plain,
% 54.39/34.65 ((~v1(constB133)) <=> (~v1(constB133))),
% 54.39/34.65 inference(rewrite,[status(thm)],[])).
% 54.39/34.65 tff(22198,axiom,(~v1(constB133)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_133_1_1')).
% 54.39/34.65 tff(22199,plain,
% 54.39/34.65 (~v1(constB133)),
% 54.39/34.65 inference(modus_ponens,[status(thm)],[22198, 22197])).
% 54.39/34.65 tff(22200,plain,
% 54.39/34.65 (nextState(constB132, constB133) <=> nextState(constB132, constB133)),
% 54.39/34.65 inference(rewrite,[status(thm)],[])).
% 54.39/34.65 tff(22201,axiom,(nextState(constB132, constB133)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_132_1')).
% 54.39/34.65 tff(22202,plain,
% 54.39/34.65 (nextState(constB132, constB133)),
% 54.39/34.65 inference(modus_ponens,[status(thm)],[22201, 22200])).
% 54.39/34.65 tff(22203,plain,
% 54.39/34.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133)))),
% 54.39/34.65 inference(rewrite,[status(thm)],[])).
% 54.39/34.65 tff(22204,plain,
% 54.39/34.65 (((~nextState(constB132, constB133)) | (~v101(constB133)) | v1(constB133)) <=> (v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133)))),
% 54.39/34.65 inference(rewrite,[status(thm)],[])).
% 54.39/34.65 tff(22205,plain,
% 54.39/34.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB132, constB133)) | (~v101(constB133)) | v1(constB133))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133))))),
% 54.39/34.65 inference(monotonicity,[status(thm)],[22204])).
% 54.39/34.65 tff(22206,plain,
% 54.39/34.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB132, constB133)) | (~v101(constB133)) | v1(constB133))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133)))),
% 54.39/34.65 inference(transitivity,[status(thm)],[22205, 22203])).
% 54.39/34.65 tff(22207,plain,
% 54.39/34.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB132, constB133)) | (~v101(constB133)) | v1(constB133))),
% 54.39/34.65 inference(quant_inst,[status(thm)],[])).
% 54.39/34.65 tff(22208,plain,
% 54.39/34.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB133) | (~nextState(constB132, constB133)) | (~v101(constB133))),
% 54.39/34.65 inference(modus_ponens,[status(thm)],[22207, 22206])).
% 54.39/34.65 tff(22209,plain,
% 54.39/34.65 (~v101(constB133)),
% 54.39/34.65 inference(unit_resolution,[status(thm)],[22208, 873, 22202, 22199])).
% 54.39/34.65 tff(22210,plain,
% 54.39/34.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB132, constB133)) | v101(constB133) | (~v100(constB133)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB132, constB133)) | v101(constB133) | (~v100(constB133)))),
% 54.39/34.65 inference(rewrite,[status(thm)],[])).
% 54.39/34.65 tff(22211,plain,
% 54.39/34.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB132, constB133)) | v101(constB133) | (~v100(constB133)))),
% 54.39/34.65 inference(quant_inst,[status(thm)],[])).
% 54.39/34.65 tff(22212,plain,
% 54.39/34.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB132, constB133)) | v101(constB133) | (~v100(constB133))),
% 54.39/34.65 inference(modus_ponens,[status(thm)],[22211, 22210])).
% 54.39/34.65 tff(22213,plain,
% 54.39/34.65 (v101(constB133) | (~v100(constB133))),
% 54.39/34.65 inference(unit_resolution,[status(thm)],[22212, 890, 22202])).
% 54.39/34.65 tff(22214,plain,
% 54.39/34.65 (~v100(constB133)),
% 54.39/34.65 inference(unit_resolution,[status(thm)],[22213, 22209])).
% 54.39/34.65 tff(22215,plain,
% 54.39/34.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB132, 1)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB132, 1)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 1))),
% 54.39/34.65 inference(rewrite,[status(thm)],[])).
% 54.39/34.65 tff(22216,plain,
% 54.39/34.65 (((~nextState(constB132, constB133)) | (~v90(constB132, 1)) | v100(constB133) | v90(constB133, 1)) <=> ((~v90(constB132, 1)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 1))),
% 54.39/34.65 inference(rewrite,[status(thm)],[])).
% 54.39/34.65 tff(22217,plain,
% 54.39/34.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB132, constB133)) | (~v90(constB132, 1)) | v100(constB133) | v90(constB133, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB132, 1)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 1)))),
% 54.39/34.65 inference(monotonicity,[status(thm)],[22216])).
% 54.39/34.65 tff(22218,plain,
% 54.39/34.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB132, constB133)) | (~v90(constB132, 1)) | v100(constB133) | v90(constB133, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB132, 1)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 1))),
% 54.39/34.65 inference(transitivity,[status(thm)],[22217, 22215])).
% 54.39/34.65 tff(22219,plain,
% 54.39/34.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB132, constB133)) | (~v90(constB132, 1)) | v100(constB133) | v90(constB133, 1))),
% 54.39/34.65 inference(quant_inst,[status(thm)],[])).
% 54.39/34.65 tff(22220,plain,
% 54.39/34.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB132, 1)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 1)),
% 54.39/34.65 inference(modus_ponens,[status(thm)],[22219, 22218])).
% 54.39/34.65 tff(22221,plain,
% 54.39/34.65 ((~v90(constB132, 1)) | v100(constB133) | v90(constB133, 1)),
% 54.39/34.65 inference(unit_resolution,[status(thm)],[22220, 1641, 22202])).
% 54.39/34.65 tff(22222,plain,
% 54.39/34.65 ((~v90(constB132, 1)) | v90(constB133, 1)),
% 54.39/34.65 inference(unit_resolution,[status(thm)],[22221, 22214])).
% 54.39/34.65 tff(22223,plain,
% 54.39/34.65 (v90(constB133, 1)),
% 54.39/34.65 inference(unit_resolution,[status(thm)],[22222, 22196])).
% 54.39/34.65 tff(22224,plain,
% 54.39/34.65 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB133)) | (~v90(constB133, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB133)) | (~v90(constB133, 1)))),
% 54.39/34.65 inference(rewrite,[status(thm)],[])).
% 54.39/34.65 tff(22225,plain,
% 54.39/34.65 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB133)) | (~v90(constB133, 1)))),
% 54.39/34.65 inference(quant_inst,[status(thm)],[])).
% 54.39/34.65 tff(22226,plain,
% 54.39/34.65 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB133)) | (~v90(constB133, 1))),
% 54.39/34.65 inference(modus_ponens,[status(thm)],[22225, 22224])).
% 54.39/34.65 tff(22227,plain,
% 54.39/34.65 (~v119(constB133)),
% 54.39/34.65 inference(unit_resolution,[status(thm)],[22226, 2868, 22223])).
% 54.39/34.65 tff(22228,plain,
% 54.39/34.65 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v121(constB131)) | (~v90(constB131, 0)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | (~v121(constB131)) | (~v90(constB131, 0)))),
% 54.39/34.65 inference(rewrite,[status(thm)],[])).
% 54.39/34.65 tff(22229,plain,
% 54.39/34.65 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v121(constB131)) | (~v90(constB131, 0)))),
% 54.39/34.65 inference(quant_inst,[status(thm)],[])).
% 54.39/34.65 tff(22230,plain,
% 54.39/34.65 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | (~v121(constB131)) | (~v90(constB131, 0))),
% 54.39/34.65 inference(modus_ponens,[status(thm)],[22229, 22228])).
% 54.39/34.65 tff(22231,plain,
% 54.39/34.65 (~v121(constB131)),
% 54.39/34.65 inference(unit_resolution,[status(thm)],[22230, 5876, 22106])).
% 54.39/34.65 tff(22232,plain,
% 54.39/34.65 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB131)) | v130(constB131, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB131)) | v130(constB131, 2))),
% 54.39/34.65 inference(rewrite,[status(thm)],[])).
% 54.39/34.65 tff(22233,plain,
% 54.39/34.65 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB131)) | v130(constB131, 2))),
% 54.39/34.65 inference(quant_inst,[status(thm)],[])).
% 54.39/34.65 tff(22234,plain,
% 54.39/34.65 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB131)) | v130(constB131, 2)),
% 54.39/34.65 inference(modus_ponens,[status(thm)],[22233, 22232])).
% 54.39/34.65 tff(22235,plain,
% 54.39/34.65 (v130(constB131, 2)),
% 54.39/34.65 inference(unit_resolution,[status(thm)],[22234, 2741, 22110])).
% 54.39/34.65 tff(22236,plain,
% 54.39/34.65 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB131) | (~v130(constB131, 2)) | v127(constB131, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB131) | (~v130(constB131, 2)) | v127(constB131, 2))),
% 54.39/34.65 inference(rewrite,[status(thm)],[])).
% 54.39/34.65 tff(22237,plain,
% 54.39/34.65 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB131) | (~v130(constB131, 2)) | v127(constB131, 2))),
% 54.39/34.65 inference(quant_inst,[status(thm)],[])).
% 54.39/34.65 tff(22238,plain,
% 54.39/34.65 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB131) | (~v130(constB131, 2)) | v127(constB131, 2)),
% 54.39/34.65 inference(modus_ponens,[status(thm)],[22237, 22236])).
% 54.39/34.65 tff(22239,plain,
% 54.39/34.65 ((~v130(constB131, 2)) | v127(constB131, 2)),
% 54.39/34.65 inference(unit_resolution,[status(thm)],[22238, 1981, 22128])).
% 54.39/34.65 tff(22240,plain,
% 54.39/34.65 (v127(constB131, 2)),
% 54.39/34.65 inference(unit_resolution,[status(thm)],[22239, 22235])).
% 54.39/34.65 tff(22241,plain,
% 54.39/34.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB131, constB132)) | (~v127(constB131, 2)) | v129(constB132, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB131, constB132)) | (~v127(constB131, 2)) | v129(constB132, 2))),
% 54.39/34.65 inference(rewrite,[status(thm)],[])).
% 54.39/34.65 tff(22242,plain,
% 54.39/34.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB131, constB132)) | (~v127(constB131, 2)) | v129(constB132, 2))),
% 54.39/34.65 inference(quant_inst,[status(thm)],[])).
% 54.39/34.65 tff(22243,plain,
% 54.39/34.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB131, constB132)) | (~v127(constB131, 2)) | v129(constB132, 2)),
% 54.39/34.65 inference(modus_ponens,[status(thm)],[22242, 22241])).
% 54.39/34.65 tff(22244,plain,
% 54.39/34.65 ((~v127(constB131, 2)) | v129(constB132, 2)),
% 54.39/34.65 inference(unit_resolution,[status(thm)],[22243, 1999, 22143])).
% 54.39/34.65 tff(22245,plain,
% 54.39/34.65 (v129(constB132, 2)),
% 54.39/34.65 inference(unit_resolution,[status(thm)],[22244, 22240])).
% 54.39/34.65 tff(22246,plain,
% 54.39/34.65 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB132, 2) | (~v129(constB132, 2)) | (~v100(constB132)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB132, 2) | (~v129(constB132, 2)) | (~v100(constB132)))),
% 54.39/34.65 inference(rewrite,[status(thm)],[])).
% 54.39/34.65 tff(22247,plain,
% 54.39/34.65 ((v90(constB132, 2) | (~v100(constB132)) | (~v129(constB132, 2))) <=> (v90(constB132, 2) | (~v129(constB132, 2)) | (~v100(constB132)))),
% 54.39/34.65 inference(rewrite,[status(thm)],[])).
% 54.39/34.65 tff(22248,plain,
% 54.39/34.65 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB132, 2) | (~v100(constB132)) | (~v129(constB132, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB132, 2) | (~v129(constB132, 2)) | (~v100(constB132))))),
% 54.39/34.65 inference(monotonicity,[status(thm)],[22247])).
% 54.39/34.65 tff(22249,plain,
% 54.39/34.65 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB132, 2) | (~v100(constB132)) | (~v129(constB132, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB132, 2) | (~v129(constB132, 2)) | (~v100(constB132)))),
% 54.39/34.65 inference(transitivity,[status(thm)],[22248, 22246])).
% 54.39/34.65 tff(22250,plain,
% 54.39/34.65 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB132, 2) | (~v100(constB132)) | (~v129(constB132, 2)))),
% 54.39/34.65 inference(quant_inst,[status(thm)],[])).
% 54.39/34.65 tff(22251,plain,
% 54.39/34.65 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB132, 2) | (~v129(constB132, 2)) | (~v100(constB132))),
% 54.39/34.65 inference(modus_ponens,[status(thm)],[22250, 22249])).
% 54.39/34.65 tff(22252,plain,
% 54.39/34.65 (v90(constB132, 2) | (~v100(constB132))),
% 54.39/34.65 inference(unit_resolution,[status(thm)],[22251, 2324, 22245])).
% 54.39/34.65 tff(22253,plain,
% 54.39/34.65 (v90(constB132, 2)),
% 54.39/34.65 inference(unit_resolution,[status(thm)],[22252, 22174])).
% 54.39/34.65 tff(22254,plain,
% 54.39/34.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB132, 2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB132, 2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 2))),
% 54.39/34.65 inference(rewrite,[status(thm)],[])).
% 54.39/34.65 tff(22255,plain,
% 54.39/34.65 (((~nextState(constB132, constB133)) | (~v90(constB132, 2)) | v100(constB133) | v90(constB133, 2)) <=> ((~v90(constB132, 2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 2))),
% 54.39/34.65 inference(rewrite,[status(thm)],[])).
% 54.39/34.65 tff(22256,plain,
% 54.39/34.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB132, constB133)) | (~v90(constB132, 2)) | v100(constB133) | v90(constB133, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB132, 2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 2)))),
% 54.39/34.65 inference(monotonicity,[status(thm)],[22255])).
% 54.39/34.65 tff(22257,plain,
% 54.39/34.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB132, constB133)) | (~v90(constB132, 2)) | v100(constB133) | v90(constB133, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB132, 2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 2))),
% 54.39/34.65 inference(transitivity,[status(thm)],[22256, 22254])).
% 54.39/34.65 tff(22258,plain,
% 54.39/34.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB132, constB133)) | (~v90(constB132, 2)) | v100(constB133) | v90(constB133, 2))),
% 54.49/34.65 inference(quant_inst,[status(thm)],[])).
% 54.49/34.65 tff(22259,plain,
% 54.49/34.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB132, 2)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 2)),
% 54.49/34.65 inference(modus_ponens,[status(thm)],[22258, 22257])).
% 54.49/34.65 tff(22260,plain,
% 54.49/34.65 ((~v90(constB132, 2)) | v100(constB133) | v90(constB133, 2)),
% 54.49/34.65 inference(unit_resolution,[status(thm)],[22259, 2174, 22202])).
% 54.49/34.65 tff(22261,plain,
% 54.49/34.65 ((~v90(constB132, 2)) | v90(constB133, 2)),
% 54.49/34.65 inference(unit_resolution,[status(thm)],[22260, 22214])).
% 54.49/34.65 tff(22262,plain,
% 54.49/34.65 (v90(constB133, 2)),
% 54.49/34.65 inference(unit_resolution,[status(thm)],[22261, 22253])).
% 54.49/34.65 tff(22263,plain,
% 54.49/34.65 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB133)) | (~v90(constB133, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB133)) | (~v90(constB133, 2)))),
% 54.49/34.65 inference(rewrite,[status(thm)],[])).
% 54.49/34.65 tff(22264,plain,
% 54.49/34.65 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB133)) | (~v90(constB133, 2)))),
% 54.49/34.65 inference(quant_inst,[status(thm)],[])).
% 54.49/34.65 tff(22265,plain,
% 54.49/34.65 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB133)) | (~v90(constB133, 2))),
% 54.49/34.65 inference(modus_ponens,[status(thm)],[22264, 22263])).
% 54.49/34.65 tff(22266,plain,
% 54.49/34.65 (~v122(constB133)),
% 54.49/34.65 inference(unit_resolution,[status(thm)],[22265, 2797, 22262])).
% 54.49/34.65 tff(22267,plain,
% 54.49/34.65 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v119(constB131)) | (~v90(constB131, 0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | (~v119(constB131)) | (~v90(constB131, 0)))),
% 54.49/34.65 inference(rewrite,[status(thm)],[])).
% 54.49/34.65 tff(22268,plain,
% 54.49/34.65 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v119(constB131)) | (~v90(constB131, 0)))),
% 54.49/34.65 inference(quant_inst,[status(thm)],[])).
% 54.49/34.65 tff(22269,plain,
% 54.49/34.65 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | (~v119(constB131)) | (~v90(constB131, 0))),
% 54.49/34.65 inference(modus_ponens,[status(thm)],[22268, 22267])).
% 54.49/34.65 tff(22270,plain,
% 54.49/34.65 (~v119(constB131)),
% 54.49/34.65 inference(unit_resolution,[status(thm)],[22269, 5865, 22106])).
% 54.49/34.65 tff(22271,plain,
% 54.49/34.65 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB131)) | (~v130(constB131, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB131)) | (~v130(constB131, 0)))),
% 54.49/34.65 inference(rewrite,[status(thm)],[])).
% 54.49/34.65 tff(22272,plain,
% 54.49/34.65 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB131)) | (~v130(constB131, 0)))),
% 54.49/34.65 inference(quant_inst,[status(thm)],[])).
% 54.49/34.65 tff(22273,plain,
% 54.49/34.65 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB131)) | (~v130(constB131, 0))),
% 54.49/34.65 inference(modus_ponens,[status(thm)],[22272, 22271])).
% 54.49/34.65 tff(22274,plain,
% 54.49/34.65 (~v130(constB131, 0)),
% 54.49/34.65 inference(unit_resolution,[status(thm)],[22273, 3274, 22110])).
% 54.49/34.65 tff(22275,plain,
% 54.49/34.65 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB131, 0)) | v26(constB131) | v130(constB131, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB131, 0)) | v26(constB131) | v130(constB131, 0))),
% 54.49/34.65 inference(rewrite,[status(thm)],[])).
% 54.49/34.65 tff(22276,plain,
% 54.49/34.65 ((v26(constB131) | v130(constB131, 0) | (~v127(constB131, 0))) <=> ((~v127(constB131, 0)) | v26(constB131) | v130(constB131, 0))),
% 54.49/34.65 inference(rewrite,[status(thm)],[])).
% 54.49/34.65 tff(22277,plain,
% 54.49/34.65 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB131) | v130(constB131, 0) | (~v127(constB131, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB131, 0)) | v26(constB131) | v130(constB131, 0)))),
% 54.49/34.65 inference(monotonicity,[status(thm)],[22276])).
% 54.49/34.65 tff(22278,plain,
% 54.49/34.65 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB131) | v130(constB131, 0) | (~v127(constB131, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB131, 0)) | v26(constB131) | v130(constB131, 0))),
% 54.49/34.65 inference(transitivity,[status(thm)],[22277, 22275])).
% 54.49/34.65 tff(22279,plain,
% 54.49/34.65 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB131) | v130(constB131, 0) | (~v127(constB131, 0)))),
% 54.49/34.65 inference(quant_inst,[status(thm)],[])).
% 54.49/34.65 tff(22280,plain,
% 54.49/34.65 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB131, 0)) | v26(constB131) | v130(constB131, 0)),
% 54.49/34.65 inference(modus_ponens,[status(thm)],[22279, 22278])).
% 54.49/34.65 tff(22281,plain,
% 54.49/34.65 ((~v127(constB131, 0)) | v130(constB131, 0)),
% 54.49/34.65 inference(unit_resolution,[status(thm)],[22280, 1671, 22128])).
% 54.49/34.65 tff(22282,plain,
% 54.49/34.65 (~v127(constB131, 0)),
% 54.49/34.65 inference(unit_resolution,[status(thm)],[22281, 22274])).
% 54.49/34.65 tff(22283,plain,
% 54.49/34.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB131, constB132)) | v127(constB131, 0) | (~v129(constB132, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB131, constB132)) | v127(constB131, 0) | (~v129(constB132, 0)))),
% 54.49/34.65 inference(rewrite,[status(thm)],[])).
% 54.49/34.65 tff(22284,plain,
% 54.49/34.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB131, constB132)) | v127(constB131, 0) | (~v129(constB132, 0)))),
% 54.49/34.65 inference(quant_inst,[status(thm)],[])).
% 54.49/34.65 tff(22285,plain,
% 54.49/34.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB131, constB132)) | v127(constB131, 0) | (~v129(constB132, 0))),
% 54.49/34.65 inference(modus_ponens,[status(thm)],[22284, 22283])).
% 54.49/34.65 tff(22286,plain,
% 54.49/34.65 (v127(constB131, 0) | (~v129(constB132, 0))),
% 54.49/34.65 inference(unit_resolution,[status(thm)],[22285, 1689, 22143])).
% 54.49/34.65 tff(22287,plain,
% 54.49/34.65 (~v129(constB132, 0)),
% 54.49/34.65 inference(unit_resolution,[status(thm)],[22286, 22282])).
% 54.49/34.65 tff(22288,plain,
% 54.49/34.65 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB132, 0)) | v129(constB132, 0) | (~v100(constB132)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB132, 0)) | v129(constB132, 0) | (~v100(constB132)))),
% 54.49/34.65 inference(rewrite,[status(thm)],[])).
% 54.49/34.65 tff(22289,plain,
% 54.49/34.65 (((~v90(constB132, 0)) | (~v100(constB132)) | v129(constB132, 0)) <=> ((~v90(constB132, 0)) | v129(constB132, 0) | (~v100(constB132)))),
% 54.49/34.65 inference(rewrite,[status(thm)],[])).
% 54.49/34.65 tff(22290,plain,
% 54.49/34.65 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB132, 0)) | (~v100(constB132)) | v129(constB132, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB132, 0)) | v129(constB132, 0) | (~v100(constB132))))),
% 54.49/34.65 inference(monotonicity,[status(thm)],[22289])).
% 54.49/34.65 tff(22291,plain,
% 54.49/34.65 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB132, 0)) | (~v100(constB132)) | v129(constB132, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB132, 0)) | v129(constB132, 0) | (~v100(constB132)))),
% 54.49/34.65 inference(transitivity,[status(thm)],[22290, 22288])).
% 54.49/34.65 tff(22292,plain,
% 54.49/34.65 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB132, 0)) | (~v100(constB132)) | v129(constB132, 0))),
% 54.49/34.65 inference(quant_inst,[status(thm)],[])).
% 54.49/34.65 tff(22293,plain,
% 54.49/34.65 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB132, 0)) | v129(constB132, 0) | (~v100(constB132))),
% 54.49/34.65 inference(modus_ponens,[status(thm)],[22292, 22291])).
% 54.49/34.65 tff(22294,plain,
% 54.49/34.65 ((~v90(constB132, 0)) | (~v100(constB132))),
% 54.49/34.65 inference(unit_resolution,[status(thm)],[22293, 1704, 22287])).
% 54.49/34.65 tff(22295,plain,
% 54.49/34.65 (~v90(constB132, 0)),
% 54.49/34.65 inference(unit_resolution,[status(thm)],[22294, 22174])).
% 54.49/34.65 tff(22296,plain,
% 54.49/34.65 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB131)) | (~v90(constB131, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB131)) | (~v90(constB131, 2)))),
% 54.49/34.65 inference(rewrite,[status(thm)],[])).
% 54.49/34.65 tff(22297,plain,
% 54.49/34.65 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB131)) | (~v90(constB131, 2)))),
% 54.49/34.65 inference(quant_inst,[status(thm)],[])).
% 54.49/34.65 tff(22298,plain,
% 54.49/34.65 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB131)) | (~v90(constB131, 2))),
% 54.49/34.65 inference(modus_ponens,[status(thm)],[22297, 22296])).
% 54.49/34.65 tff(22299,plain,
% 54.49/34.65 (~v122(constB131)),
% 54.49/34.65 inference(unit_resolution,[status(thm)],[22298, 2797, 22041])).
% 54.49/34.65 tff(22300,plain,
% 54.49/34.65 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v120(constB131)) | (~v90(constB131, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | (~v120(constB131)) | (~v90(constB131, 2)))),
% 54.49/34.65 inference(rewrite,[status(thm)],[])).
% 54.49/34.65 tff(22301,plain,
% 54.49/34.65 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v120(constB131)) | (~v90(constB131, 2)))),
% 54.49/34.65 inference(quant_inst,[status(thm)],[])).
% 54.49/34.65 tff(22302,plain,
% 54.49/34.65 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | (~v120(constB131)) | (~v90(constB131, 2))),
% 54.49/34.65 inference(modus_ponens,[status(thm)],[22301, 22300])).
% 54.49/34.65 tff(22303,plain,
% 54.49/34.65 (~v120(constB131)),
% 54.49/34.65 inference(unit_resolution,[status(thm)],[22302, 3825, 22041])).
% 54.49/34.65 tff(22304,plain,
% 54.49/34.65 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB133)) | (~v90(constB133, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB133)) | (~v90(constB133, 2)))),
% 54.49/34.65 inference(rewrite,[status(thm)],[])).
% 54.49/34.65 tff(22305,plain,
% 54.49/34.65 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB133)) | (~v90(constB133, 2)))),
% 54.49/34.65 inference(quant_inst,[status(thm)],[])).
% 54.49/34.65 tff(22306,plain,
% 54.49/34.65 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB133)) | (~v90(constB133, 2))),
% 54.49/34.65 inference(modus_ponens,[status(thm)],[22305, 22304])).
% 54.49/34.65 tff(22307,plain,
% 54.49/34.65 (~v121(constB133)),
% 54.49/34.65 inference(unit_resolution,[status(thm)],[22306, 2857, 22262])).
% 54.49/34.65 tff(22308,assumption,(~v121(constB133)), introduced(assumption)).
% 54.49/34.65 tff(22309,assumption,(~v119(constB133)), introduced(assumption)).
% 54.49/34.65 tff(22310,assumption,(~v90(constB132, 0)), introduced(assumption)).
% 54.49/34.65 tff(22311,plain,
% 54.49/34.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB132, 0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB132, 0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 0)))),
% 54.49/34.65 inference(rewrite,[status(thm)],[])).
% 54.49/34.65 tff(22312,plain,
% 54.49/34.65 (((~nextState(constB132, constB133)) | v90(constB132, 0) | v100(constB133) | (~v90(constB133, 0))) <=> (v90(constB132, 0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 0)))),
% 54.49/34.65 inference(rewrite,[status(thm)],[])).
% 54.49/34.65 tff(22313,plain,
% 54.49/34.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB132, constB133)) | v90(constB132, 0) | v100(constB133) | (~v90(constB133, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB132, 0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 0))))),
% 54.49/34.65 inference(monotonicity,[status(thm)],[22312])).
% 54.49/34.65 tff(22314,plain,
% 54.49/34.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB132, constB133)) | v90(constB132, 0) | v100(constB133) | (~v90(constB133, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB132, 0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 0)))),
% 54.49/34.65 inference(transitivity,[status(thm)],[22313, 22311])).
% 54.49/34.65 tff(22315,plain,
% 54.49/34.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB132, constB133)) | v90(constB132, 0) | v100(constB133) | (~v90(constB133, 0)))),
% 54.49/34.65 inference(quant_inst,[status(thm)],[])).
% 54.49/34.65 tff(22316,plain,
% 54.49/34.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB132, 0) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 0))),
% 54.49/34.65 inference(modus_ponens,[status(thm)],[22315, 22314])).
% 54.49/34.65 tff(22317,plain,
% 54.49/34.65 (v90(constB132, 0) | v100(constB133) | (~v90(constB133, 0))),
% 54.49/34.65 inference(unit_resolution,[status(thm)],[22316, 947, 22202])).
% 54.49/34.65 tff(22318,plain,
% 54.49/34.65 (v90(constB132, 0) | (~v90(constB133, 0))),
% 54.49/34.65 inference(unit_resolution,[status(thm)],[22317, 22214])).
% 54.49/34.65 tff(22319,plain,
% 54.49/34.65 (~v90(constB133, 0)),
% 54.49/34.65 inference(unit_resolution,[status(thm)],[22318, 22310])).
% 54.49/34.65 tff(22320,assumption,(~v90(constB133, 2)), introduced(assumption)).
% 54.49/34.65 tff(22321,assumption,(~v90(constB133, 0)), introduced(assumption)).
% 54.49/34.65 tff(22322,plain,
% 54.49/34.65 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB133, 0) | (~v90(constB133, 1)) | v90(constB133, 2) | v121(constB133))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB133, 0) | (~v90(constB133, 1)) | v90(constB133, 2) | v121(constB133))),
% 54.49/34.65 inference(rewrite,[status(thm)],[])).
% 54.49/34.65 tff(22323,plain,
% 54.49/34.65 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB133, 0) | (~v90(constB133, 1)) | v90(constB133, 2) | v121(constB133))),
% 54.49/34.65 inference(quant_inst,[status(thm)],[])).
% 54.49/34.65 tff(22324,plain,
% 54.49/34.65 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB133, 0) | (~v90(constB133, 1)) | v90(constB133, 2) | v121(constB133)),
% 54.49/34.65 inference(modus_ponens,[status(thm)],[22323, 22322])).
% 54.49/34.65 tff(22325,plain,
% 54.49/34.65 (v90(constB133, 0) | (~v90(constB133, 1)) | v90(constB133, 2)),
% 54.49/34.65 inference(unit_resolution,[status(thm)],[22324, 1731, 22308])).
% 54.49/34.65 tff(22326,plain,
% 54.49/34.65 (~v90(constB133, 1)),
% 54.49/34.65 inference(unit_resolution,[status(thm)],[22325, 22321, 22320])).
% 54.49/34.65 tff(22327,plain,
% 54.49/34.65 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB133, 0) | v90(constB133, 1) | v90(constB133, 2) | v119(constB133))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB133, 0) | v90(constB133, 1) | v90(constB133, 2) | v119(constB133))),
% 54.49/34.65 inference(rewrite,[status(thm)],[])).
% 54.49/34.65 tff(22328,plain,
% 54.49/34.65 ((v90(constB133, 0) | v119(constB133) | v90(constB133, 1) | v90(constB133, 2)) <=> (v90(constB133, 0) | v90(constB133, 1) | v90(constB133, 2) | v119(constB133))),
% 54.49/34.65 inference(rewrite,[status(thm)],[])).
% 54.49/34.65 tff(22329,plain,
% 54.49/34.65 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB133, 0) | v119(constB133) | v90(constB133, 1) | v90(constB133, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB133, 0) | v90(constB133, 1) | v90(constB133, 2) | v119(constB133)))),
% 54.49/34.65 inference(monotonicity,[status(thm)],[22328])).
% 54.49/34.65 tff(22330,plain,
% 54.49/34.65 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB133, 0) | v119(constB133) | v90(constB133, 1) | v90(constB133, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB133, 0) | v90(constB133, 1) | v90(constB133, 2) | v119(constB133))),
% 54.49/34.65 inference(transitivity,[status(thm)],[22329, 22327])).
% 54.49/34.65 tff(22331,plain,
% 54.49/34.65 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB133, 0) | v119(constB133) | v90(constB133, 1) | v90(constB133, 2))),
% 54.49/34.65 inference(quant_inst,[status(thm)],[])).
% 54.49/34.65 tff(22332,plain,
% 54.49/34.65 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB133, 0) | v90(constB133, 1) | v90(constB133, 2) | v119(constB133)),
% 54.49/34.65 inference(modus_ponens,[status(thm)],[22331, 22330])).
% 54.49/34.65 tff(22333,plain,
% 54.49/34.65 (v90(constB133, 0) | v90(constB133, 1) | v90(constB133, 2)),
% 54.49/34.65 inference(unit_resolution,[status(thm)],[22332, 968, 22309])).
% 54.49/34.65 tff(22334,plain,
% 54.49/34.65 ($false),
% 54.49/34.65 inference(unit_resolution,[status(thm)],[22333, 22326, 22321, 22320])).
% 54.49/34.65 tff(22335,plain,(v90(constB133, 0) | v90(constB133, 2) | v119(constB133) | v121(constB133)), inference(lemma,lemma(discharge,[]))).
% 54.49/34.65 tff(22336,plain,
% 54.49/34.65 (v90(constB133, 2)),
% 54.49/34.65 inference(unit_resolution,[status(thm)],[22335, 22319, 22309, 22308])).
% 54.49/34.65 tff(22337,plain,
% 54.49/34.65 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v120(constB133)) | (~v90(constB133, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | (~v120(constB133)) | (~v90(constB133, 2)))),
% 54.49/34.65 inference(rewrite,[status(thm)],[])).
% 54.49/34.65 tff(22338,plain,
% 54.49/34.65 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v120(constB133)) | (~v90(constB133, 2)))),
% 54.49/34.65 inference(quant_inst,[status(thm)],[])).
% 54.49/34.65 tff(22339,plain,
% 54.49/34.65 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | (~v120(constB133)) | (~v90(constB133, 2))),
% 54.49/34.65 inference(modus_ponens,[status(thm)],[22338, 22337])).
% 54.49/34.65 tff(22340,plain,
% 54.49/34.65 (~v120(constB133)),
% 54.49/34.65 inference(unit_resolution,[status(thm)],[22339, 3825, 22336])).
% 54.49/34.65 tff(22341,plain,
% 54.49/34.65 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB133)) | v90(constB133, 0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB133)) | v90(constB133, 0))),
% 54.49/34.65 inference(rewrite,[status(thm)],[])).
% 54.49/34.65 tff(22342,plain,
% 54.49/34.65 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB133)) | v90(constB133, 0))),
% 54.49/34.65 inference(quant_inst,[status(thm)],[])).
% 54.49/34.65 tff(22343,plain,
% 54.49/34.65 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB133)) | v90(constB133, 0)),
% 54.49/34.65 inference(modus_ponens,[status(thm)],[22342, 22341])).
% 54.49/34.65 tff(22344,plain,
% 54.49/34.65 (~v124(constB133)),
% 54.49/34.65 inference(unit_resolution,[status(thm)],[22343, 6692, 22319])).
% 54.49/34.65 tff(22345,assumption,(~v122(constB133)), introduced(assumption)).
% 54.49/34.65 tff(22346,assumption,(v100(constB132)), introduced(assumption)).
% 54.49/34.65 tff(22347,plain,
% 54.49/34.65 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB132, 0) | (~v129(constB132, 0)) | (~v100(constB132)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB132, 0) | (~v129(constB132, 0)) | (~v100(constB132)))),
% 54.49/34.65 inference(rewrite,[status(thm)],[])).
% 54.49/34.65 tff(22348,plain,
% 54.49/34.65 ((v90(constB132, 0) | (~v100(constB132)) | (~v129(constB132, 0))) <=> (v90(constB132, 0) | (~v129(constB132, 0)) | (~v100(constB132)))),
% 54.49/34.65 inference(rewrite,[status(thm)],[])).
% 54.49/34.65 tff(22349,plain,
% 54.49/34.65 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB132, 0) | (~v100(constB132)) | (~v129(constB132, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB132, 0) | (~v129(constB132, 0)) | (~v100(constB132))))),
% 54.49/34.65 inference(monotonicity,[status(thm)],[22348])).
% 54.49/34.65 tff(22350,plain,
% 54.49/34.65 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB132, 0) | (~v100(constB132)) | (~v129(constB132, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB132, 0) | (~v129(constB132, 0)) | (~v100(constB132)))),
% 54.49/34.65 inference(transitivity,[status(thm)],[22349, 22347])).
% 54.49/34.65 tff(22351,plain,
% 54.49/34.65 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB132, 0) | (~v100(constB132)) | (~v129(constB132, 0)))),
% 54.49/34.65 inference(quant_inst,[status(thm)],[])).
% 54.49/34.65 tff(22352,plain,
% 54.49/34.65 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB132, 0) | (~v129(constB132, 0)) | (~v100(constB132))),
% 54.49/34.65 inference(modus_ponens,[status(thm)],[22351, 22350])).
% 54.49/34.65 tff(22353,plain,
% 54.49/34.65 (v90(constB132, 0) | (~v129(constB132, 0))),
% 54.49/34.65 inference(unit_resolution,[status(thm)],[22352, 1377, 22346])).
% 54.49/34.65 tff(22354,plain,
% 54.49/34.65 (~v129(constB132, 0)),
% 54.49/34.65 inference(unit_resolution,[status(thm)],[22353, 22310])).
% 54.49/34.65 tff(22355,plain,
% 54.49/34.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB131, constB132)) | (~v127(constB131, 0)) | v129(constB132, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB131, constB132)) | (~v127(constB131, 0)) | v129(constB132, 0))),
% 54.49/34.65 inference(rewrite,[status(thm)],[])).
% 54.49/34.65 tff(22356,plain,
% 54.49/34.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB131, constB132)) | (~v127(constB131, 0)) | v129(constB132, 0))),
% 54.49/34.65 inference(quant_inst,[status(thm)],[])).
% 54.49/34.65 tff(22357,plain,
% 54.49/34.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB131, constB132)) | (~v127(constB131, 0)) | v129(constB132, 0)),
% 54.49/34.65 inference(modus_ponens,[status(thm)],[22356, 22355])).
% 54.49/34.65 tff(22358,plain,
% 54.49/34.65 ((~v127(constB131, 0)) | v129(constB132, 0)),
% 54.49/34.65 inference(unit_resolution,[status(thm)],[22357, 1362, 22143])).
% 54.49/34.65 tff(22359,plain,
% 54.49/34.65 (~v127(constB131, 0)),
% 54.49/34.65 inference(unit_resolution,[status(thm)],[22358, 22354])).
% 54.49/34.65 tff(22360,plain,
% 54.49/34.65 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB131) | (~v130(constB131, 0)) | v127(constB131, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB131) | (~v130(constB131, 0)) | v127(constB131, 0))),
% 54.49/34.65 inference(rewrite,[status(thm)],[])).
% 54.49/34.65 tff(22361,plain,
% 54.49/34.65 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB131) | (~v130(constB131, 0)) | v127(constB131, 0))),
% 54.49/34.65 inference(quant_inst,[status(thm)],[])).
% 54.49/34.65 tff(22362,plain,
% 54.49/34.65 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB131) | (~v130(constB131, 0)) | v127(constB131, 0)),
% 54.49/34.65 inference(modus_ponens,[status(thm)],[22361, 22360])).
% 54.49/34.65 tff(22363,plain,
% 54.49/34.65 ((~v130(constB131, 0)) | v127(constB131, 0)),
% 54.49/34.65 inference(unit_resolution,[status(thm)],[22362, 1347, 22128])).
% 54.49/34.65 tff(22364,plain,
% 54.49/34.65 (~v130(constB131, 0)),
% 54.49/34.65 inference(unit_resolution,[status(thm)],[22363, 22359])).
% 54.49/34.65 tff(22365,plain,
% 54.49/34.65 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB131)) | v130(constB131, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB131)) | v130(constB131, 0))),
% 54.49/34.65 inference(rewrite,[status(thm)],[])).
% 54.49/34.65 tff(22366,plain,
% 54.49/34.65 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB131)) | v130(constB131, 0))),
% 54.49/34.65 inference(quant_inst,[status(thm)],[])).
% 54.49/34.65 tff(22367,plain,
% 54.49/34.65 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB131)) | v130(constB131, 0)),
% 54.49/34.65 inference(modus_ponens,[status(thm)],[22366, 22365])).
% 54.49/34.65 tff(22368,plain,
% 54.49/34.65 (~v123(constB131)),
% 54.49/34.65 inference(unit_resolution,[status(thm)],[22367, 2622, 22364])).
% 54.49/34.65 tff(22369,assumption,(~v120(constB131)), introduced(assumption)).
% 54.49/34.65 tff(22370,assumption,(~v121(constB131)), introduced(assumption)).
% 54.49/34.65 tff(22371,assumption,(~v122(constB131)), introduced(assumption)).
% 54.49/34.65 tff(22372,assumption,(~v119(constB131)), introduced(assumption)).
% 54.49/34.65 tff(22373,plain,
% 54.49/34.65 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB131) | v120(constB131) | v121(constB131) | v122(constB131) | v123(constB131) | v124(constB131) | v130(constB131, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB131) | v120(constB131) | v121(constB131) | v122(constB131) | v123(constB131) | v124(constB131) | v130(constB131, 0))),
% 54.49/34.65 inference(rewrite,[status(thm)],[])).
% 54.49/34.65 tff(22374,plain,
% 54.49/34.65 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB131) | v120(constB131) | v121(constB131) | v122(constB131) | v123(constB131) | v124(constB131) | v130(constB131, 0))),
% 54.49/34.65 inference(quant_inst,[status(thm)],[])).
% 54.49/34.65 tff(22375,plain,
% 54.49/34.65 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB131) | v120(constB131) | v121(constB131) | v122(constB131) | v123(constB131) | v124(constB131) | v130(constB131, 0)),
% 54.49/34.65 inference(modus_ponens,[status(thm)],[22374, 22373])).
% 54.49/34.65 tff(22376,plain,
% 54.49/34.65 (v123(constB131) | v124(constB131) | v130(constB131, 0)),
% 54.49/34.65 inference(unit_resolution,[status(thm)],[22375, 3413, 22372, 22371, 22370, 22369])).
% 54.49/34.65 tff(22377,plain,
% 54.49/34.65 (v124(constB131)),
% 54.49/34.65 inference(unit_resolution,[status(thm)],[22376, 22368, 22364])).
% 54.49/34.65 tff(22378,plain,
% 54.49/34.65 (v130(constB131, 1)),
% 54.49/34.65 inference(unit_resolution,[status(thm)],[22177, 2808, 22377])).
% 54.49/34.65 tff(22379,plain,
% 54.49/34.65 (v127(constB131, 1)),
% 54.49/34.65 inference(unit_resolution,[status(thm)],[22182, 22378])).
% 54.49/34.65 tff(22380,plain,
% 54.49/34.65 (v129(constB132, 1)),
% 54.49/34.65 inference(unit_resolution,[status(thm)],[22187, 22379])).
% 54.49/34.65 tff(22381,plain,
% 54.49/34.65 (v90(constB132, 1) | (~v129(constB132, 1))),
% 54.49/34.65 inference(unit_resolution,[status(thm)],[22194, 1623, 22346])).
% 54.49/34.65 tff(22382,plain,
% 54.49/34.65 (v90(constB132, 1)),
% 54.49/34.65 inference(unit_resolution,[status(thm)],[22381, 22380])).
% 54.49/34.65 tff(22383,plain,
% 54.49/34.65 (v90(constB133, 1)),
% 54.49/34.65 inference(unit_resolution,[status(thm)],[22222, 22382])).
% 54.49/34.65 tff(22384,plain,
% 54.49/34.65 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB133)) | (~v90(constB133, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB133)) | (~v90(constB133, 1)))),
% 54.49/34.65 inference(rewrite,[status(thm)],[])).
% 54.49/34.65 tff(22385,plain,
% 54.49/34.65 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB133)) | (~v90(constB133, 1)))),
% 54.49/34.65 inference(quant_inst,[status(thm)],[])).
% 54.49/34.65 tff(22386,plain,
% 54.49/34.65 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB133)) | (~v90(constB133, 1))),
% 54.49/34.65 inference(modus_ponens,[status(thm)],[22385, 22384])).
% 54.49/34.65 tff(22387,plain,
% 54.49/34.65 (~v123(constB133)),
% 54.49/34.65 inference(unit_resolution,[status(thm)],[22386, 2879, 22383])).
% 54.49/34.65 tff(22388,plain,
% 54.49/34.65 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, 2)))),
% 54.49/34.66 inference(rewrite,[status(thm)],[])).
% 54.49/34.66 tff(22389,plain,
% 54.49/34.66 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, 2)))),
% 54.49/34.66 inference(quant_inst,[status(thm)],[])).
% 54.49/34.66 tff(22390,plain,
% 54.49/34.66 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, 2))),
% 54.49/34.66 inference(modus_ponens,[status(thm)],[22389, 22388])).
% 54.49/34.66 tff(22391,plain,
% 54.49/34.66 (v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, 2))),
% 54.49/34.66 inference(unit_resolution,[status(thm)],[22390, 2904, 22309])).
% 54.49/34.66 tff(22392,plain,
% 54.49/34.66 (~v130(constB133, 2)),
% 54.49/34.66 inference(unit_resolution,[status(thm)],[22391, 22387, 22308, 22345, 22344, 22340])).
% 54.49/34.66 tff(22393,assumption,(v26(constB133)), introduced(assumption)).
% 54.49/34.66 tff(22394,plain,
% 54.49/34.66 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB133))),
% 54.49/34.66 inference(quant_inst,[status(thm)],[])).
% 54.49/34.66 tff(22395,plain,
% 54.49/34.66 ($false),
% 54.49/34.66 inference(unit_resolution,[status(thm)],[22394, 828, 22393])).
% 54.49/34.66 tff(22396,plain,(~v26(constB133)), inference(lemma,lemma(discharge,[]))).
% 54.49/34.66 tff(22397,plain,
% 54.49/34.66 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB133, 2)) | v26(constB133) | v130(constB133, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB133, 2)) | v26(constB133) | v130(constB133, 2))),
% 54.49/34.66 inference(rewrite,[status(thm)],[])).
% 54.49/34.66 tff(22398,plain,
% 54.49/34.66 ((v26(constB133) | v130(constB133, 2) | (~v127(constB133, 2))) <=> ((~v127(constB133, 2)) | v26(constB133) | v130(constB133, 2))),
% 54.49/34.66 inference(rewrite,[status(thm)],[])).
% 54.49/34.66 tff(22399,plain,
% 54.49/34.66 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB133) | v130(constB133, 2) | (~v127(constB133, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB133, 2)) | v26(constB133) | v130(constB133, 2)))),
% 54.49/34.66 inference(monotonicity,[status(thm)],[22398])).
% 54.49/34.66 tff(22400,plain,
% 54.49/34.66 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB133) | v130(constB133, 2) | (~v127(constB133, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB133, 2)) | v26(constB133) | v130(constB133, 2))),
% 54.49/34.66 inference(transitivity,[status(thm)],[22399, 22397])).
% 54.49/34.66 tff(22401,plain,
% 54.49/34.66 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB133) | v130(constB133, 2) | (~v127(constB133, 2)))),
% 54.49/34.66 inference(quant_inst,[status(thm)],[])).
% 54.49/34.66 tff(22402,plain,
% 54.49/34.66 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB133, 2)) | v26(constB133) | v130(constB133, 2)),
% 54.49/34.66 inference(modus_ponens,[status(thm)],[22401, 22400])).
% 54.49/34.66 tff(22403,plain,
% 54.49/34.66 ((~v127(constB133, 2)) | v130(constB133, 2)),
% 54.49/34.66 inference(unit_resolution,[status(thm)],[22402, 1190, 22396])).
% 54.49/34.66 tff(22404,plain,
% 54.49/34.66 (~v127(constB133, 2)),
% 54.49/34.66 inference(unit_resolution,[status(thm)],[22403, 22392])).
% 54.49/34.66 tff(22405,plain,
% 54.49/34.66 (nextState(constB133, constB134) <=> nextState(constB133, constB134)),
% 54.49/34.66 inference(rewrite,[status(thm)],[])).
% 54.49/34.66 tff(22406,axiom,(nextState(constB133, constB134)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_133_1')).
% 54.49/34.66 tff(22407,plain,
% 54.49/34.66 (nextState(constB133, constB134)),
% 54.49/34.66 inference(modus_ponens,[status(thm)],[22406, 22405])).
% 54.49/34.66 tff(22408,plain,
% 54.49/34.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB133, constB134)) | v127(constB133, 2) | (~v129(constB134, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB133, constB134)) | v127(constB133, 2) | (~v129(constB134, 2)))),
% 54.49/34.66 inference(rewrite,[status(thm)],[])).
% 54.49/34.66 tff(22409,plain,
% 54.49/34.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB133, constB134)) | v127(constB133, 2) | (~v129(constB134, 2)))),
% 54.49/34.66 inference(quant_inst,[status(thm)],[])).
% 54.49/34.66 tff(22410,plain,
% 54.49/34.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB133, constB134)) | v127(constB133, 2) | (~v129(constB134, 2))),
% 54.49/34.66 inference(modus_ponens,[status(thm)],[22409, 22408])).
% 54.49/34.66 tff(22411,plain,
% 54.49/34.66 (v127(constB133, 2) | (~v129(constB134, 2))),
% 54.49/34.66 inference(unit_resolution,[status(thm)],[22410, 1208, 22407])).
% 54.49/34.66 tff(22412,plain,
% 54.49/34.66 (~v129(constB134, 2)),
% 54.49/34.66 inference(unit_resolution,[status(thm)],[22411, 22404])).
% 54.49/34.66 tff(22413,plain,
% 54.49/34.66 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB133, 0) | (~v90(constB133, 1)) | (~v90(constB133, 2)) | v125(constB133))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB133, 0) | (~v90(constB133, 1)) | (~v90(constB133, 2)) | v125(constB133))),
% 54.49/34.66 inference(rewrite,[status(thm)],[])).
% 54.49/34.66 tff(22414,plain,
% 54.49/34.66 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB133, 0) | (~v90(constB133, 1)) | (~v90(constB133, 2)) | v125(constB133))),
% 54.49/34.66 inference(quant_inst,[status(thm)],[])).
% 54.49/34.66 tff(22415,plain,
% 54.49/34.66 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB133, 0) | (~v90(constB133, 1)) | (~v90(constB133, 2)) | v125(constB133)),
% 54.49/34.66 inference(modus_ponens,[status(thm)],[22414, 22413])).
% 54.49/34.66 tff(22416,plain,
% 54.49/34.66 ((~v90(constB133, 1)) | v125(constB133)),
% 54.49/34.66 inference(unit_resolution,[status(thm)],[22415, 2279, 22319, 22336])).
% 54.49/34.66 tff(22417,plain,
% 54.49/34.66 (v125(constB133)),
% 54.49/34.66 inference(unit_resolution,[status(thm)],[22416, 22383])).
% 54.49/34.66 tff(22418,plain,
% 54.49/34.66 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB133) | (~v125(constB133)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB133) | (~v125(constB133)))),
% 54.49/34.66 inference(rewrite,[status(thm)],[])).
% 54.49/34.66 tff(22419,plain,
% 54.49/34.66 (((~v125(constB133)) | v113(constB133)) <=> (v113(constB133) | (~v125(constB133)))),
% 54.49/34.66 inference(rewrite,[status(thm)],[])).
% 54.49/34.66 tff(22420,plain,
% 54.49/34.66 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB133)) | v113(constB133))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB133) | (~v125(constB133))))),
% 54.49/34.66 inference(monotonicity,[status(thm)],[22419])).
% 54.49/34.66 tff(22421,plain,
% 54.49/34.66 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB133)) | v113(constB133))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB133) | (~v125(constB133)))),
% 54.49/34.66 inference(transitivity,[status(thm)],[22420, 22418])).
% 54.49/34.66 tff(22422,plain,
% 54.49/34.66 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB133)) | v113(constB133))),
% 54.49/34.66 inference(quant_inst,[status(thm)],[])).
% 54.49/34.66 tff(22423,plain,
% 54.49/34.66 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB133) | (~v125(constB133))),
% 54.49/34.66 inference(modus_ponens,[status(thm)],[22422, 22421])).
% 54.49/34.66 tff(22424,plain,
% 54.49/34.66 (v113(constB133)),
% 54.49/34.66 inference(unit_resolution,[status(thm)],[22423, 2262, 22417])).
% 54.49/34.66 tff(22425,assumption,(~v108(constB133)), introduced(assumption)).
% 54.49/34.66 tff(22426,plain,
% 54.49/34.66 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB133) | (~v112(constB133)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB133) | (~v112(constB133)))),
% 54.49/34.66 inference(rewrite,[status(thm)],[])).
% 54.49/34.66 tff(22427,plain,
% 54.49/34.66 (((~v112(constB133)) | v108(constB133)) <=> (v108(constB133) | (~v112(constB133)))),
% 54.49/34.66 inference(rewrite,[status(thm)],[])).
% 54.49/34.66 tff(22428,plain,
% 54.49/34.66 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB133)) | v108(constB133))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB133) | (~v112(constB133))))),
% 54.49/34.66 inference(monotonicity,[status(thm)],[22427])).
% 54.49/34.66 tff(22429,plain,
% 54.49/34.66 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB133)) | v108(constB133))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB133) | (~v112(constB133)))),
% 54.49/34.66 inference(transitivity,[status(thm)],[22428, 22426])).
% 54.49/34.66 tff(22430,plain,
% 54.49/34.66 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB133)) | v108(constB133))),
% 54.49/34.66 inference(quant_inst,[status(thm)],[])).
% 54.49/34.66 tff(22431,plain,
% 54.49/34.66 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB133) | (~v112(constB133))),
% 54.49/34.66 inference(modus_ponens,[status(thm)],[22430, 22429])).
% 54.49/34.66 tff(22432,plain,
% 54.49/34.66 (~v112(constB133)),
% 54.49/34.66 inference(unit_resolution,[status(thm)],[22431, 1075, 22425])).
% 54.49/34.66 tff(22433,plain,
% 54.49/34.66 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB133) | (~v26(constB133)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB133) | (~v26(constB133)))),
% 54.49/34.66 inference(rewrite,[status(thm)],[])).
% 54.49/34.66 tff(22434,plain,
% 54.49/34.66 (((~v26(constB133)) | v108(constB133)) <=> (v108(constB133) | (~v26(constB133)))),
% 54.49/34.66 inference(rewrite,[status(thm)],[])).
% 54.49/34.66 tff(22435,plain,
% 54.49/34.66 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB133)) | v108(constB133))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB133) | (~v26(constB133))))),
% 54.49/34.66 inference(monotonicity,[status(thm)],[22434])).
% 54.49/34.66 tff(22436,plain,
% 54.49/34.66 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB133)) | v108(constB133))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB133) | (~v26(constB133)))),
% 54.49/34.66 inference(transitivity,[status(thm)],[22435, 22433])).
% 54.49/34.66 tff(22437,plain,
% 54.49/34.66 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB133)) | v108(constB133))),
% 54.49/34.66 inference(quant_inst,[status(thm)],[])).
% 54.49/34.66 tff(22438,plain,
% 54.49/34.66 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB133) | (~v26(constB133))),
% 54.49/34.66 inference(modus_ponens,[status(thm)],[22437, 22436])).
% 54.49/34.66 tff(22439,plain,
% 54.49/34.66 (~v26(constB133)),
% 54.49/34.66 inference(unit_resolution,[status(thm)],[22438, 2050, 22425])).
% 54.49/34.66 tff(22440,assumption,(v113(constB133)), introduced(assumption)).
% 54.49/34.66 tff(22441,plain,
% 54.49/34.66 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB133) | v112(constB133) | (~v113(constB133)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB133) | v112(constB133) | (~v113(constB133)))),
% 54.49/34.66 inference(rewrite,[status(thm)],[])).
% 54.49/34.66 tff(22442,plain,
% 54.49/34.66 ((v26(constB133) | (~v113(constB133)) | v112(constB133)) <=> (v26(constB133) | v112(constB133) | (~v113(constB133)))),
% 54.49/34.66 inference(rewrite,[status(thm)],[])).
% 54.49/34.66 tff(22443,plain,
% 54.49/34.66 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB133) | (~v113(constB133)) | v112(constB133))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB133) | v112(constB133) | (~v113(constB133))))),
% 54.49/34.66 inference(monotonicity,[status(thm)],[22442])).
% 54.49/34.66 tff(22444,plain,
% 54.49/34.66 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB133) | (~v113(constB133)) | v112(constB133))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB133) | v112(constB133) | (~v113(constB133)))),
% 54.49/34.66 inference(transitivity,[status(thm)],[22443, 22441])).
% 54.49/34.66 tff(22445,plain,
% 54.49/34.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB133) | (~v113(constB133)) | v112(constB133))),
% 54.49/34.66 inference(quant_inst,[status(thm)],[])).
% 54.49/34.66 tff(22446,plain,
% 54.49/34.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB133) | v112(constB133) | (~v113(constB133))),
% 54.49/34.66 inference(modus_ponens,[status(thm)],[22445, 22444])).
% 54.49/34.66 tff(22447,plain,
% 54.49/34.66 (v26(constB133) | v112(constB133)),
% 54.49/34.66 inference(unit_resolution,[status(thm)],[22446, 1063, 22440])).
% 54.49/34.66 tff(22448,plain,
% 54.49/34.66 ($false),
% 54.49/34.66 inference(unit_resolution,[status(thm)],[22447, 22439, 22432])).
% 54.49/34.66 tff(22449,plain,(v108(constB133) | (~v113(constB133))), inference(lemma,lemma(discharge,[]))).
% 54.49/34.66 tff(22450,plain,
% 54.49/34.66 (v108(constB133)),
% 54.49/34.66 inference(unit_resolution,[status(thm)],[22449, 22424])).
% 54.49/34.66 tff(22451,plain,
% 54.49/34.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133)))),
% 54.49/34.66 inference(rewrite,[status(thm)],[])).
% 54.49/34.66 tff(22452,plain,
% 54.49/34.66 (((~nextState(constB133, constB134)) | (~v108(constB133)) | v110(constB134)) <=> ((~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133)))),
% 54.49/34.66 inference(rewrite,[status(thm)],[])).
% 54.49/34.66 tff(22453,plain,
% 54.49/34.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB133, constB134)) | (~v108(constB133)) | v110(constB134))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133))))),
% 54.49/34.66 inference(monotonicity,[status(thm)],[22452])).
% 54.49/34.66 tff(22454,plain,
% 54.49/34.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB133, constB134)) | (~v108(constB133)) | v110(constB134))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133)))),
% 54.49/34.66 inference(transitivity,[status(thm)],[22453, 22451])).
% 54.49/34.66 tff(22455,plain,
% 54.49/34.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB133, constB134)) | (~v108(constB133)) | v110(constB134))),
% 54.49/34.66 inference(quant_inst,[status(thm)],[])).
% 54.49/34.66 tff(22456,plain,
% 54.49/34.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB133, constB134)) | v110(constB134) | (~v108(constB133))),
% 54.49/34.66 inference(modus_ponens,[status(thm)],[22455, 22454])).
% 54.49/34.66 tff(22457,plain,
% 54.49/34.66 (v110(constB134) | (~v108(constB133))),
% 54.49/34.66 inference(unit_resolution,[status(thm)],[22456, 1095, 22407])).
% 54.49/34.66 tff(22458,plain,
% 54.49/34.66 (v110(constB134)),
% 54.49/34.66 inference(unit_resolution,[status(thm)],[22457, 22450])).
% 54.49/34.66 tff(22459,plain,
% 54.49/34.66 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB133) | (~nextState(constB133, constB134)) | (~v104(constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB133) | (~nextState(constB133, constB134)) | (~v104(constB134)))),
% 54.49/34.66 inference(rewrite,[status(thm)],[])).
% 54.49/34.66 tff(22460,plain,
% 54.49/34.66 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB133) | (~nextState(constB133, constB134)) | (~v104(constB134)))),
% 54.49/34.66 inference(quant_inst,[status(thm)],[])).
% 54.49/34.66 tff(22461,plain,
% 54.49/34.66 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB133) | (~nextState(constB133, constB134)) | (~v104(constB134))),
% 54.49/34.66 inference(modus_ponens,[status(thm)],[22460, 22459])).
% 54.49/34.66 tff(22462,plain,
% 54.49/34.66 (~v104(constB134)),
% 54.49/34.66 inference(unit_resolution,[status(thm)],[22461, 1113, 22407, 22199])).
% 54.49/34.66 tff(22463,plain,
% 54.49/34.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB133, constB134)) | v102(constB134) | v104(constB134))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB133, constB134)) | v102(constB134) | v104(constB134))),
% 54.49/34.66 inference(rewrite,[status(thm)],[])).
% 54.49/34.66 tff(22464,plain,
% 54.49/34.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB133, constB134)) | v102(constB134) | v104(constB134))),
% 54.49/34.66 inference(quant_inst,[status(thm)],[])).
% 54.49/34.66 tff(22465,plain,
% 54.49/34.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB133, constB134)) | v102(constB134) | v104(constB134)),
% 54.49/34.66 inference(modus_ponens,[status(thm)],[22464, 22463])).
% 54.49/34.66 tff(22466,plain,
% 54.49/34.66 (v102(constB134) | v104(constB134)),
% 54.49/34.66 inference(unit_resolution,[status(thm)],[22465, 1127, 22407])).
% 54.49/34.66 tff(22467,plain,
% 54.49/34.66 (v102(constB134)),
% 54.49/34.66 inference(unit_resolution,[status(thm)],[22466, 22462])).
% 54.49/34.66 tff(22468,plain,
% 54.49/34.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB133, constB134)) | v101(constB134) | (~v102(constB134)) | (~v1(constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB133, constB134)) | v101(constB134) | (~v102(constB134)) | (~v1(constB134)))),
% 54.49/34.66 inference(rewrite,[status(thm)],[])).
% 54.49/34.66 tff(22469,plain,
% 54.49/34.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB133, constB134)) | v101(constB134) | (~v102(constB134)) | (~v1(constB134)))),
% 54.49/34.66 inference(quant_inst,[status(thm)],[])).
% 54.49/34.66 tff(22470,plain,
% 54.49/34.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB133, constB134)) | v101(constB134) | (~v102(constB134)) | (~v1(constB134))),
% 54.49/34.66 inference(modus_ponens,[status(thm)],[22469, 22468])).
% 54.49/34.66 tff(22471,plain,
% 54.49/34.66 (v101(constB134) | (~v102(constB134))),
% 54.49/34.66 inference(unit_resolution,[status(thm)],[22470, 1145, 22407, 706])).
% 54.49/34.66 tff(22472,plain,
% 54.49/34.66 (v101(constB134)),
% 54.49/34.66 inference(unit_resolution,[status(thm)],[22471, 22467])).
% 54.49/34.66 tff(22473,plain,
% 54.49/34.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134)))),
% 54.49/34.66 inference(rewrite,[status(thm)],[])).
% 54.49/34.66 tff(22474,plain,
% 54.49/34.66 (((~nextState(constB133, constB134)) | (~v101(constB134)) | (~v110(constB134)) | v100(constB134)) <=> ((~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134)))),
% 54.49/34.66 inference(rewrite,[status(thm)],[])).
% 54.49/34.66 tff(22475,plain,
% 54.49/34.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB133, constB134)) | (~v101(constB134)) | (~v110(constB134)) | v100(constB134))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134))))),
% 54.49/34.66 inference(monotonicity,[status(thm)],[22474])).
% 54.49/34.66 tff(22476,plain,
% 54.49/34.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB133, constB134)) | (~v101(constB134)) | (~v110(constB134)) | v100(constB134))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134)))),
% 54.49/34.66 inference(transitivity,[status(thm)],[22475, 22473])).
% 54.49/34.66 tff(22477,plain,
% 54.49/34.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB133, constB134)) | (~v101(constB134)) | (~v110(constB134)) | v100(constB134))),
% 54.49/34.66 inference(quant_inst,[status(thm)],[])).
% 54.49/34.66 tff(22478,plain,
% 54.49/34.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB133, constB134)) | v100(constB134) | (~v101(constB134)) | (~v110(constB134))),
% 54.49/34.66 inference(modus_ponens,[status(thm)],[22477, 22476])).
% 54.49/34.66 tff(22479,plain,
% 54.49/34.66 (v100(constB134) | (~v101(constB134)) | (~v110(constB134))),
% 54.49/34.66 inference(unit_resolution,[status(thm)],[22478, 1160, 22407])).
% 54.49/34.66 tff(22480,plain,
% 54.49/34.66 (v100(constB134) | (~v110(constB134))),
% 54.49/34.66 inference(unit_resolution,[status(thm)],[22479, 22472])).
% 54.49/34.66 tff(22481,plain,
% 54.49/34.66 (v100(constB134)),
% 54.49/34.66 inference(unit_resolution,[status(thm)],[22480, 22458])).
% 54.49/34.66 tff(22482,plain,
% 54.49/34.66 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB134, 2)) | v129(constB134, 2) | (~v100(constB134)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB134, 2)) | v129(constB134, 2) | (~v100(constB134)))),
% 54.49/34.66 inference(rewrite,[status(thm)],[])).
% 54.49/34.66 tff(22483,plain,
% 54.49/34.66 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB134, 2)) | v129(constB134, 2) | (~v100(constB134)))),
% 54.49/34.66 inference(quant_inst,[status(thm)],[])).
% 54.49/34.66 tff(22484,plain,
% 54.49/34.66 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB134, 2)) | v129(constB134, 2) | (~v100(constB134))),
% 54.49/34.66 inference(modus_ponens,[status(thm)],[22483, 22482])).
% 54.49/34.66 tff(22485,plain,
% 54.49/34.66 (~v90(constB134, 2)),
% 54.49/34.66 inference(unit_resolution,[status(thm)],[22484, 1223, 22481, 22412])).
% 54.49/34.66 tff(22486,plain,
% 54.49/34.66 ((~v1(constB135)) <=> (~v1(constB135))),
% 54.49/34.66 inference(rewrite,[status(thm)],[])).
% 54.49/34.66 tff(22487,axiom,(~v1(constB135)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_135_1_1')).
% 54.49/34.66 tff(22488,plain,
% 54.49/34.66 (~v1(constB135)),
% 54.49/34.66 inference(modus_ponens,[status(thm)],[22487, 22486])).
% 54.49/34.66 tff(22489,plain,
% 54.49/34.66 (nextState(constB134, constB135) <=> nextState(constB134, constB135)),
% 54.49/34.66 inference(rewrite,[status(thm)],[])).
% 54.49/34.66 tff(22490,axiom,(nextState(constB134, constB135)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_134_1')).
% 54.49/34.66 tff(22491,plain,
% 54.49/34.66 (nextState(constB134, constB135)),
% 54.49/34.66 inference(modus_ponens,[status(thm)],[22490, 22489])).
% 54.49/34.66 tff(22492,plain,
% 54.49/34.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135)))),
% 54.49/34.66 inference(rewrite,[status(thm)],[])).
% 54.49/34.66 tff(22493,plain,
% 54.49/34.66 (((~nextState(constB134, constB135)) | (~v101(constB135)) | v1(constB135)) <=> (v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135)))),
% 54.49/34.66 inference(rewrite,[status(thm)],[])).
% 54.49/34.66 tff(22494,plain,
% 54.49/34.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB134, constB135)) | (~v101(constB135)) | v1(constB135))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135))))),
% 54.49/34.66 inference(monotonicity,[status(thm)],[22493])).
% 54.49/34.66 tff(22495,plain,
% 54.49/34.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB134, constB135)) | (~v101(constB135)) | v1(constB135))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135)))),
% 54.49/34.66 inference(transitivity,[status(thm)],[22494, 22492])).
% 54.49/34.66 tff(22496,plain,
% 54.49/34.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB134, constB135)) | (~v101(constB135)) | v1(constB135))),
% 54.49/34.66 inference(quant_inst,[status(thm)],[])).
% 54.49/34.66 tff(22497,plain,
% 54.49/34.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB135) | (~nextState(constB134, constB135)) | (~v101(constB135))),
% 54.49/34.66 inference(modus_ponens,[status(thm)],[22496, 22495])).
% 54.49/34.66 tff(22498,plain,
% 54.49/34.66 (~v101(constB135)),
% 54.49/34.66 inference(unit_resolution,[status(thm)],[22497, 873, 22491, 22488])).
% 54.49/34.66 tff(22499,plain,
% 54.49/34.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB134, constB135)) | v101(constB135) | (~v100(constB135)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB134, constB135)) | v101(constB135) | (~v100(constB135)))),
% 54.49/34.66 inference(rewrite,[status(thm)],[])).
% 54.49/34.66 tff(22500,plain,
% 54.49/34.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB134, constB135)) | v101(constB135) | (~v100(constB135)))),
% 54.49/34.66 inference(quant_inst,[status(thm)],[])).
% 54.49/34.66 tff(22501,plain,
% 54.49/34.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB134, constB135)) | v101(constB135) | (~v100(constB135))),
% 54.49/34.66 inference(modus_ponens,[status(thm)],[22500, 22499])).
% 54.49/34.66 tff(22502,plain,
% 54.49/34.66 (v101(constB135) | (~v100(constB135))),
% 54.49/34.66 inference(unit_resolution,[status(thm)],[22501, 890, 22491])).
% 54.49/34.66 tff(22503,plain,
% 54.49/34.66 (~v100(constB135)),
% 54.49/34.66 inference(unit_resolution,[status(thm)],[22502, 22498])).
% 54.49/34.66 tff(22504,plain,
% 54.49/34.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB134, 2) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB134, 2) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 2)))),
% 54.49/34.66 inference(rewrite,[status(thm)],[])).
% 54.49/34.66 tff(22505,plain,
% 54.49/34.66 (((~nextState(constB134, constB135)) | v90(constB134, 2) | v100(constB135) | (~v90(constB135, 2))) <=> (v90(constB134, 2) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 2)))),
% 54.49/34.66 inference(rewrite,[status(thm)],[])).
% 54.49/34.66 tff(22506,plain,
% 54.49/34.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB134, constB135)) | v90(constB134, 2) | v100(constB135) | (~v90(constB135, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB134, 2) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 2))))),
% 54.49/34.66 inference(monotonicity,[status(thm)],[22505])).
% 54.49/34.66 tff(22507,plain,
% 54.49/34.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB134, constB135)) | v90(constB134, 2) | v100(constB135) | (~v90(constB135, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB134, 2) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 2)))),
% 54.49/34.66 inference(transitivity,[status(thm)],[22506, 22504])).
% 54.49/34.66 tff(22508,plain,
% 54.49/34.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB134, constB135)) | v90(constB134, 2) | v100(constB135) | (~v90(constB135, 2)))),
% 54.49/34.66 inference(quant_inst,[status(thm)],[])).
% 54.49/34.66 tff(22509,plain,
% 54.49/34.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB134, 2) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 2))),
% 54.49/34.66 inference(modus_ponens,[status(thm)],[22508, 22507])).
% 54.49/34.66 tff(22510,plain,
% 54.49/34.66 (v90(constB134, 2) | v100(constB135) | (~v90(constB135, 2))),
% 54.49/34.66 inference(unit_resolution,[status(thm)],[22509, 905, 22491])).
% 54.49/34.66 tff(22511,plain,
% 54.49/34.66 (v90(constB134, 2) | (~v90(constB135, 2))),
% 54.49/34.66 inference(unit_resolution,[status(thm)],[22510, 22503])).
% 54.49/34.66 tff(22512,plain,
% 54.49/34.66 (~v90(constB135, 2)),
% 54.49/34.66 inference(unit_resolution,[status(thm)],[22511, 22485])).
% 54.49/34.66 tff(22513,plain,
% 54.49/34.66 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | v130(constB133, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | v130(constB133, 0))),
% 54.49/34.66 inference(rewrite,[status(thm)],[])).
% 54.49/34.66 tff(22514,plain,
% 54.49/34.66 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | v130(constB133, 0))),
% 54.49/34.66 inference(quant_inst,[status(thm)],[])).
% 54.49/34.66 tff(22515,plain,
% 54.49/34.66 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | v130(constB133, 0)),
% 54.49/34.66 inference(modus_ponens,[status(thm)],[22514, 22513])).
% 54.49/34.66 tff(22516,plain,
% 54.49/34.66 (v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | v130(constB133, 0)),
% 54.49/34.66 inference(unit_resolution,[status(thm)],[22515, 3413, 22309])).
% 54.49/34.66 tff(22517,plain,
% 54.49/34.66 (v130(constB133, 0)),
% 54.49/34.66 inference(unit_resolution,[status(thm)],[22516, 22387, 22308, 22345, 22344, 22340])).
% 54.49/34.66 tff(22518,plain,
% 54.49/34.66 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB133) | (~v130(constB133, 0)) | v127(constB133, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB133) | (~v130(constB133, 0)) | v127(constB133, 0))),
% 54.49/34.66 inference(rewrite,[status(thm)],[])).
% 54.49/34.66 tff(22519,plain,
% 54.49/34.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB133) | (~v130(constB133, 0)) | v127(constB133, 0))),
% 54.49/34.66 inference(quant_inst,[status(thm)],[])).
% 54.49/34.66 tff(22520,plain,
% 54.49/34.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB133) | (~v130(constB133, 0)) | v127(constB133, 0)),
% 54.49/34.66 inference(modus_ponens,[status(thm)],[22519, 22518])).
% 54.49/34.66 tff(22521,plain,
% 54.49/34.66 ((~v130(constB133, 0)) | v127(constB133, 0)),
% 54.49/34.66 inference(unit_resolution,[status(thm)],[22520, 1347, 22396])).
% 54.49/34.66 tff(22522,plain,
% 54.49/34.66 (v127(constB133, 0)),
% 54.49/34.66 inference(unit_resolution,[status(thm)],[22521, 22517])).
% 54.49/34.66 tff(22523,plain,
% 54.49/34.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB133, constB134)) | (~v127(constB133, 0)) | v129(constB134, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB133, constB134)) | (~v127(constB133, 0)) | v129(constB134, 0))),
% 54.49/34.66 inference(rewrite,[status(thm)],[])).
% 54.49/34.66 tff(22524,plain,
% 54.49/34.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB133, constB134)) | (~v127(constB133, 0)) | v129(constB134, 0))),
% 54.49/34.66 inference(quant_inst,[status(thm)],[])).
% 54.49/34.66 tff(22525,plain,
% 54.49/34.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB133, constB134)) | (~v127(constB133, 0)) | v129(constB134, 0)),
% 54.49/34.66 inference(modus_ponens,[status(thm)],[22524, 22523])).
% 54.49/34.66 tff(22526,plain,
% 54.49/34.66 ((~v127(constB133, 0)) | v129(constB134, 0)),
% 54.49/34.66 inference(unit_resolution,[status(thm)],[22525, 1362, 22407])).
% 54.49/34.66 tff(22527,plain,
% 54.49/34.66 (v129(constB134, 0)),
% 54.49/34.66 inference(unit_resolution,[status(thm)],[22526, 22522])).
% 54.49/34.66 tff(22528,plain,
% 54.49/34.66 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB134, 0) | (~v129(constB134, 0)) | (~v100(constB134)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB134, 0) | (~v129(constB134, 0)) | (~v100(constB134)))),
% 54.49/34.66 inference(rewrite,[status(thm)],[])).
% 54.49/34.66 tff(22529,plain,
% 54.49/34.66 ((v90(constB134, 0) | (~v100(constB134)) | (~v129(constB134, 0))) <=> (v90(constB134, 0) | (~v129(constB134, 0)) | (~v100(constB134)))),
% 54.49/34.66 inference(rewrite,[status(thm)],[])).
% 54.49/34.66 tff(22530,plain,
% 54.49/34.66 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB134, 0) | (~v100(constB134)) | (~v129(constB134, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB134, 0) | (~v129(constB134, 0)) | (~v100(constB134))))),
% 54.49/34.66 inference(monotonicity,[status(thm)],[22529])).
% 54.49/34.66 tff(22531,plain,
% 54.49/34.66 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB134, 0) | (~v100(constB134)) | (~v129(constB134, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB134, 0) | (~v129(constB134, 0)) | (~v100(constB134)))),
% 54.49/34.66 inference(transitivity,[status(thm)],[22530, 22528])).
% 54.49/34.66 tff(22532,plain,
% 54.49/34.66 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB134, 0) | (~v100(constB134)) | (~v129(constB134, 0)))),
% 54.49/34.66 inference(quant_inst,[status(thm)],[])).
% 54.49/34.66 tff(22533,plain,
% 54.49/34.66 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB134, 0) | (~v129(constB134, 0)) | (~v100(constB134))),
% 54.49/34.66 inference(modus_ponens,[status(thm)],[22532, 22531])).
% 54.49/34.66 tff(22534,plain,
% 54.49/34.66 (v90(constB134, 0)),
% 54.49/34.66 inference(unit_resolution,[status(thm)],[22533, 1377, 22481, 22527])).
% 54.49/34.66 tff(22535,plain,
% 54.49/34.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB134, 0)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB134, 0)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, 0))),
% 54.49/34.66 inference(rewrite,[status(thm)],[])).
% 54.49/34.66 tff(22536,plain,
% 54.49/34.66 (((~nextState(constB134, constB135)) | (~v90(constB134, 0)) | v100(constB135) | v90(constB135, 0)) <=> ((~v90(constB134, 0)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, 0))),
% 54.49/34.66 inference(rewrite,[status(thm)],[])).
% 54.49/34.66 tff(22537,plain,
% 54.49/34.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB134, constB135)) | (~v90(constB134, 0)) | v100(constB135) | v90(constB135, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB134, 0)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, 0)))),
% 54.49/34.66 inference(monotonicity,[status(thm)],[22536])).
% 54.49/34.66 tff(22538,plain,
% 54.49/34.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB134, constB135)) | (~v90(constB134, 0)) | v100(constB135) | v90(constB135, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB134, 0)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, 0))),
% 54.49/34.66 inference(transitivity,[status(thm)],[22537, 22535])).
% 54.49/34.66 tff(22539,plain,
% 54.49/34.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB134, constB135)) | (~v90(constB134, 0)) | v100(constB135) | v90(constB135, 0))),
% 54.49/34.66 inference(quant_inst,[status(thm)],[])).
% 54.49/34.66 tff(22540,plain,
% 54.49/34.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB134, 0)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, 0)),
% 54.49/34.66 inference(modus_ponens,[status(thm)],[22539, 22538])).
% 54.49/34.66 tff(22541,plain,
% 54.49/34.66 ((~v90(constB134, 0)) | v100(constB135) | v90(constB135, 0)),
% 54.49/34.66 inference(unit_resolution,[status(thm)],[22540, 1395, 22491])).
% 54.49/34.66 tff(22542,plain,
% 54.49/34.66 ((~v90(constB134, 0)) | v90(constB135, 0)),
% 54.49/34.66 inference(unit_resolution,[status(thm)],[22541, 22503])).
% 54.49/34.66 tff(22543,plain,
% 54.49/34.66 (v90(constB135, 0)),
% 54.49/34.66 inference(unit_resolution,[status(thm)],[22542, 22534])).
% 54.49/34.66 tff(22544,plain,
% 54.49/34.66 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, 1)))),
% 54.49/34.66 inference(rewrite,[status(thm)],[])).
% 54.49/34.66 tff(22545,plain,
% 54.49/34.66 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, 1)))),
% 54.49/34.66 inference(quant_inst,[status(thm)],[])).
% 54.49/34.66 tff(22546,plain,
% 54.49/34.66 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB133) | v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, 1))),
% 54.49/34.66 inference(modus_ponens,[status(thm)],[22545, 22544])).
% 54.49/34.66 tff(22547,plain,
% 54.49/34.66 (v120(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, 1))),
% 54.49/34.66 inference(unit_resolution,[status(thm)],[22546, 3309, 22309])).
% 54.49/34.66 tff(22548,plain,
% 54.49/34.66 (~v130(constB133, 1)),
% 54.49/34.66 inference(unit_resolution,[status(thm)],[22547, 22387, 22308, 22345, 22344, 22340])).
% 54.49/34.66 tff(22549,plain,
% 54.49/34.66 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB133, 1)) | v26(constB133) | v130(constB133, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB133, 1)) | v26(constB133) | v130(constB133, 1))),
% 54.49/34.66 inference(rewrite,[status(thm)],[])).
% 54.49/34.66 tff(22550,plain,
% 54.49/34.66 ((v26(constB133) | v130(constB133, 1) | (~v127(constB133, 1))) <=> ((~v127(constB133, 1)) | v26(constB133) | v130(constB133, 1))),
% 54.49/34.66 inference(rewrite,[status(thm)],[])).
% 54.49/34.66 tff(22551,plain,
% 54.49/34.66 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB133) | v130(constB133, 1) | (~v127(constB133, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB133, 1)) | v26(constB133) | v130(constB133, 1)))),
% 54.49/34.66 inference(monotonicity,[status(thm)],[22550])).
% 54.49/34.66 tff(22552,plain,
% 54.49/34.66 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB133) | v130(constB133, 1) | (~v127(constB133, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB133, 1)) | v26(constB133) | v130(constB133, 1))),
% 54.49/34.66 inference(transitivity,[status(thm)],[22551, 22549])).
% 54.49/34.66 tff(22553,plain,
% 54.49/34.66 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB133) | v130(constB133, 1) | (~v127(constB133, 1)))),
% 54.49/34.66 inference(quant_inst,[status(thm)],[])).
% 54.49/34.66 tff(22554,plain,
% 54.49/34.66 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB133, 1)) | v26(constB133) | v130(constB133, 1)),
% 54.49/34.66 inference(modus_ponens,[status(thm)],[22553, 22552])).
% 54.49/34.66 tff(22555,plain,
% 54.49/34.66 ((~v127(constB133, 1)) | v130(constB133, 1)),
% 54.49/34.66 inference(unit_resolution,[status(thm)],[22554, 1276, 22396])).
% 54.49/34.66 tff(22556,plain,
% 54.49/34.66 (~v127(constB133, 1)),
% 54.49/34.66 inference(unit_resolution,[status(thm)],[22555, 22548])).
% 54.49/34.66 tff(22557,plain,
% 54.49/34.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB133, constB134)) | v127(constB133, 1) | (~v129(constB134, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB133, constB134)) | v127(constB133, 1) | (~v129(constB134, 1)))),
% 54.49/34.66 inference(rewrite,[status(thm)],[])).
% 54.49/34.66 tff(22558,plain,
% 54.49/34.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB133, constB134)) | v127(constB133, 1) | (~v129(constB134, 1)))),
% 54.49/34.66 inference(quant_inst,[status(thm)],[])).
% 54.49/34.66 tff(22559,plain,
% 54.49/34.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB133, constB134)) | v127(constB133, 1) | (~v129(constB134, 1))),
% 54.49/34.66 inference(modus_ponens,[status(thm)],[22558, 22557])).
% 54.49/34.66 tff(22560,plain,
% 54.49/34.66 (v127(constB133, 1) | (~v129(constB134, 1))),
% 54.49/34.66 inference(unit_resolution,[status(thm)],[22559, 1294, 22407])).
% 54.49/34.66 tff(22561,plain,
% 54.49/34.66 (~v129(constB134, 1)),
% 54.49/34.66 inference(unit_resolution,[status(thm)],[22560, 22556])).
% 54.49/34.66 tff(22562,plain,
% 54.49/34.66 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB134, 1)) | v129(constB134, 1) | (~v100(constB134)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB134, 1)) | v129(constB134, 1) | (~v100(constB134)))),
% 54.49/34.66 inference(rewrite,[status(thm)],[])).
% 54.49/34.66 tff(22563,plain,
% 54.49/34.66 (((~v90(constB134, 1)) | (~v100(constB134)) | v129(constB134, 1)) <=> ((~v90(constB134, 1)) | v129(constB134, 1) | (~v100(constB134)))),
% 54.49/34.66 inference(rewrite,[status(thm)],[])).
% 54.49/34.66 tff(22564,plain,
% 54.49/34.66 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB134, 1)) | (~v100(constB134)) | v129(constB134, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB134, 1)) | v129(constB134, 1) | (~v100(constB134))))),
% 54.49/34.67 inference(monotonicity,[status(thm)],[22563])).
% 54.49/34.67 tff(22565,plain,
% 54.49/34.67 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB134, 1)) | (~v100(constB134)) | v129(constB134, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB134, 1)) | v129(constB134, 1) | (~v100(constB134)))),
% 54.49/34.67 inference(transitivity,[status(thm)],[22564, 22562])).
% 54.49/34.67 tff(22566,plain,
% 54.49/34.67 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB134, 1)) | (~v100(constB134)) | v129(constB134, 1))),
% 54.49/34.67 inference(quant_inst,[status(thm)],[])).
% 54.49/34.67 tff(22567,plain,
% 54.49/34.67 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB134, 1)) | v129(constB134, 1) | (~v100(constB134))),
% 54.49/34.67 inference(modus_ponens,[status(thm)],[22566, 22565])).
% 54.49/34.67 tff(22568,plain,
% 54.49/34.67 (~v90(constB134, 1)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22567, 1309, 22481, 22561])).
% 54.49/34.67 tff(22569,plain,
% 54.49/34.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB134, 1) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB134, 1) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 1)))),
% 54.49/34.67 inference(rewrite,[status(thm)],[])).
% 54.49/34.67 tff(22570,plain,
% 54.49/34.67 (((~nextState(constB134, constB135)) | v90(constB134, 1) | v100(constB135) | (~v90(constB135, 1))) <=> (v90(constB134, 1) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 1)))),
% 54.49/34.67 inference(rewrite,[status(thm)],[])).
% 54.49/34.67 tff(22571,plain,
% 54.49/34.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB134, constB135)) | v90(constB134, 1) | v100(constB135) | (~v90(constB135, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB134, 1) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 1))))),
% 54.49/34.67 inference(monotonicity,[status(thm)],[22570])).
% 54.49/34.67 tff(22572,plain,
% 54.49/34.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB134, constB135)) | v90(constB134, 1) | v100(constB135) | (~v90(constB135, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB134, 1) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 1)))),
% 54.49/34.67 inference(transitivity,[status(thm)],[22571, 22569])).
% 54.49/34.67 tff(22573,plain,
% 54.49/34.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB134, constB135)) | v90(constB134, 1) | v100(constB135) | (~v90(constB135, 1)))),
% 54.49/34.67 inference(quant_inst,[status(thm)],[])).
% 54.49/34.67 tff(22574,plain,
% 54.49/34.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB134, 1) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 1))),
% 54.49/34.67 inference(modus_ponens,[status(thm)],[22573, 22572])).
% 54.49/34.67 tff(22575,plain,
% 54.49/34.67 (v90(constB134, 1) | v100(constB135) | (~v90(constB135, 1))),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22574, 926, 22491])).
% 54.49/34.67 tff(22576,plain,
% 54.49/34.67 (v90(constB134, 1) | (~v90(constB135, 1))),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22575, 22503])).
% 54.49/34.67 tff(22577,plain,
% 54.49/34.67 (~v90(constB135, 1)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22576, 22568])).
% 54.49/34.67 tff(22578,assumption,(~v120(constB135)), introduced(assumption)).
% 54.49/34.67 tff(22579,plain,
% 54.49/34.67 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB135, 0)) | v90(constB135, 1) | v90(constB135, 2) | v120(constB135))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB135, 0)) | v90(constB135, 1) | v90(constB135, 2) | v120(constB135))),
% 54.49/34.67 inference(rewrite,[status(thm)],[])).
% 54.49/34.67 tff(22580,plain,
% 54.49/34.67 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB135, 0)) | v90(constB135, 1) | v90(constB135, 2) | v120(constB135))),
% 54.49/34.67 inference(quant_inst,[status(thm)],[])).
% 54.49/34.67 tff(22581,plain,
% 54.49/34.67 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB135, 0)) | v90(constB135, 1) | v90(constB135, 2) | v120(constB135)),
% 54.49/34.67 inference(modus_ponens,[status(thm)],[22580, 22579])).
% 54.49/34.67 tff(22582,plain,
% 54.49/34.67 ((~v90(constB135, 0)) | v90(constB135, 1) | v90(constB135, 2)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22581, 1414, 22578])).
% 54.49/34.67 tff(22583,plain,
% 54.49/34.67 ($false),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22582, 22577, 22543, 22512])).
% 54.49/34.67 tff(22584,plain,(v90(constB132, 0) | v120(constB135) | v121(constB133) | v122(constB133) | v119(constB133) | (~v100(constB132)) | v119(constB131) | v122(constB131) | v121(constB131) | v120(constB131)), inference(lemma,lemma(discharge,[]))).
% 54.49/34.67 tff(22585,plain,
% 54.49/34.67 (v120(constB135)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22584, 22307, 22303, 22299, 22295, 22174, 22270, 22266, 22231, 22227])).
% 54.49/34.67 tff(22586,plain,
% 54.49/34.67 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB135)) | (~v130(constB135, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB135)) | (~v130(constB135, 0)))),
% 54.49/34.67 inference(rewrite,[status(thm)],[])).
% 54.49/34.67 tff(22587,plain,
% 54.49/34.67 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB135)) | (~v130(constB135, 0)))),
% 54.49/34.67 inference(quant_inst,[status(thm)],[])).
% 54.49/34.67 tff(22588,plain,
% 54.49/34.67 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB135)) | (~v130(constB135, 0))),
% 54.49/34.67 inference(modus_ponens,[status(thm)],[22587, 22586])).
% 54.49/34.67 tff(22589,plain,
% 54.49/34.67 (~v130(constB135, 0)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22588, 1657, 22585])).
% 54.49/34.67 tff(22590,plain,
% 54.49/34.67 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB133)) | (~v90(constB133, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB133)) | (~v90(constB133, 1)))),
% 54.49/34.67 inference(rewrite,[status(thm)],[])).
% 54.49/34.67 tff(22591,plain,
% 54.49/34.67 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB133)) | (~v90(constB133, 1)))),
% 54.49/34.67 inference(quant_inst,[status(thm)],[])).
% 54.49/34.67 tff(22592,plain,
% 54.49/34.67 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB133)) | (~v90(constB133, 1))),
% 54.49/34.67 inference(modus_ponens,[status(thm)],[22591, 22590])).
% 54.49/34.67 tff(22593,plain,
% 54.49/34.67 (~v124(constB133)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22592, 2890, 22223])).
% 54.49/34.67 tff(22594,plain,
% 54.49/34.67 (~v123(constB133)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22386, 2879, 22223])).
% 54.49/34.67 tff(22595,plain,
% 54.49/34.67 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB133)) | (~v90(constB133, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB133)) | (~v90(constB133, 1)))),
% 54.49/34.67 inference(rewrite,[status(thm)],[])).
% 54.49/34.67 tff(22596,plain,
% 54.49/34.67 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB133)) | (~v90(constB133, 1)))),
% 54.49/34.67 inference(quant_inst,[status(thm)],[])).
% 54.49/34.67 tff(22597,plain,
% 54.49/34.67 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB133)) | (~v90(constB133, 1))),
% 54.49/34.67 inference(modus_ponens,[status(thm)],[22596, 22595])).
% 54.49/34.67 tff(22598,plain,
% 54.49/34.67 (~v120(constB133)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22597, 2846, 22223])).
% 54.49/34.67 tff(22599,plain,
% 54.49/34.67 (~v130(constB133, 2)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22390, 2904, 22227, 22307, 22598, 22266, 22594, 22593])).
% 54.49/34.67 tff(22600,plain,
% 54.49/34.67 (~v127(constB133, 2)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22403, 22599])).
% 54.49/34.67 tff(22601,plain,
% 54.49/34.67 (~v129(constB134, 2)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22411, 22600])).
% 54.49/34.67 tff(22602,plain,
% 54.49/34.67 (~v90(constB133, 0)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22318, 22295])).
% 54.49/34.67 tff(22603,plain,
% 54.49/34.67 (v125(constB133)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22415, 2279, 22602, 22223, 22262])).
% 54.49/34.67 tff(22604,plain,
% 54.49/34.67 (v113(constB133)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22423, 2262, 22603])).
% 54.49/34.67 tff(22605,plain,
% 54.49/34.67 (v108(constB133)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22449, 22604])).
% 54.49/34.67 tff(22606,plain,
% 54.49/34.67 (v110(constB134)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22457, 22605])).
% 54.49/34.67 tff(22607,plain,
% 54.49/34.67 (v100(constB134)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22480, 22606])).
% 54.49/34.67 tff(22608,plain,
% 54.49/34.67 (~v90(constB134, 2)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22484, 1223, 22607, 22601])).
% 54.49/34.67 tff(22609,plain,
% 54.49/34.67 (~v90(constB135, 2)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22511, 22608])).
% 54.49/34.67 tff(22610,plain,
% 54.49/34.67 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | ((~v124(constB135)) | v90(constB135, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | (~v124(constB135)) | v90(constB135, 2))),
% 54.49/34.67 inference(rewrite,[status(thm)],[])).
% 54.49/34.67 tff(22611,plain,
% 54.49/34.67 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | ((~v124(constB135)) | v90(constB135, 2))),
% 54.49/34.67 inference(quant_inst,[status(thm)],[])).
% 54.49/34.67 tff(22612,plain,
% 54.49/34.67 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | (~v124(constB135)) | v90(constB135, 2)),
% 54.49/34.67 inference(modus_ponens,[status(thm)],[22611, 22610])).
% 54.49/34.67 tff(22613,plain,
% 54.49/34.67 (~v124(constB135)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22612, 3774, 22609])).
% 54.49/34.67 tff(22614,assumption,(~v100(constB136)), introduced(assumption)).
% 54.49/34.67 tff(22615,plain,
% 54.49/34.67 (nextState(constB135, constB136) <=> nextState(constB135, constB136)),
% 54.49/34.67 inference(rewrite,[status(thm)],[])).
% 54.49/34.67 tff(22616,axiom,(nextState(constB135, constB136)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_135_1')).
% 54.49/34.67 tff(22617,plain,
% 54.49/34.67 (nextState(constB135, constB136)),
% 54.49/34.67 inference(modus_ponens,[status(thm)],[22616, 22615])).
% 54.49/34.67 tff(22618,plain,
% 54.49/34.67 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB135) | (~nextState(constB135, constB136)) | (~v104(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB135) | (~nextState(constB135, constB136)) | (~v104(constB136)))),
% 54.49/34.67 inference(rewrite,[status(thm)],[])).
% 54.49/34.67 tff(22619,plain,
% 54.49/34.67 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB135) | (~nextState(constB135, constB136)) | (~v104(constB136)))),
% 54.49/34.67 inference(quant_inst,[status(thm)],[])).
% 54.49/34.67 tff(22620,plain,
% 54.49/34.67 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB135) | (~nextState(constB135, constB136)) | (~v104(constB136))),
% 54.49/34.67 inference(modus_ponens,[status(thm)],[22619, 22618])).
% 54.49/34.67 tff(22621,plain,
% 54.49/34.67 (~v104(constB136)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22620, 1113, 22617, 22488])).
% 54.49/34.67 tff(22622,plain,
% 54.49/34.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB135, constB136)) | v102(constB136) | v104(constB136))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB135, constB136)) | v102(constB136) | v104(constB136))),
% 54.49/34.67 inference(rewrite,[status(thm)],[])).
% 54.49/34.67 tff(22623,plain,
% 54.49/34.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB135, constB136)) | v102(constB136) | v104(constB136))),
% 54.49/34.67 inference(quant_inst,[status(thm)],[])).
% 54.49/34.67 tff(22624,plain,
% 54.49/34.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB135, constB136)) | v102(constB136) | v104(constB136)),
% 54.49/34.67 inference(modus_ponens,[status(thm)],[22623, 22622])).
% 54.49/34.67 tff(22625,plain,
% 54.49/34.67 (v102(constB136) | v104(constB136)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22624, 1127, 22617])).
% 54.49/34.67 tff(22626,plain,
% 54.49/34.67 (v102(constB136)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22625, 22621])).
% 54.49/34.67 tff(22627,plain,
% 54.49/34.67 (v1(constB136) <=> v1(constB136)),
% 54.49/34.67 inference(rewrite,[status(thm)],[])).
% 54.49/34.67 tff(22628,axiom,(v1(constB136)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_136_1')).
% 54.49/34.67 tff(22629,plain,
% 54.49/34.67 (v1(constB136)),
% 54.49/34.67 inference(modus_ponens,[status(thm)],[22628, 22627])).
% 54.49/34.67 tff(22630,plain,
% 54.49/34.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB135, constB136)) | v101(constB136) | (~v102(constB136)) | (~v1(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB135, constB136)) | v101(constB136) | (~v102(constB136)) | (~v1(constB136)))),
% 54.49/34.67 inference(rewrite,[status(thm)],[])).
% 54.49/34.67 tff(22631,plain,
% 54.49/34.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB135, constB136)) | v101(constB136) | (~v102(constB136)) | (~v1(constB136)))),
% 54.49/34.67 inference(quant_inst,[status(thm)],[])).
% 54.49/34.67 tff(22632,plain,
% 54.49/34.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB135, constB136)) | v101(constB136) | (~v102(constB136)) | (~v1(constB136))),
% 54.49/34.67 inference(modus_ponens,[status(thm)],[22631, 22630])).
% 54.49/34.67 tff(22633,plain,
% 54.49/34.67 (v101(constB136) | (~v102(constB136))),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22632, 1145, 22617, 22629])).
% 54.49/34.67 tff(22634,plain,
% 54.49/34.67 (v101(constB136)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22633, 22626])).
% 54.49/34.67 tff(22635,plain,
% 54.49/34.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136)))),
% 54.49/34.67 inference(rewrite,[status(thm)],[])).
% 54.49/34.67 tff(22636,plain,
% 54.49/34.67 (((~nextState(constB135, constB136)) | (~v101(constB136)) | (~v110(constB136)) | v100(constB136)) <=> ((~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136)))),
% 54.49/34.67 inference(rewrite,[status(thm)],[])).
% 54.49/34.67 tff(22637,plain,
% 54.49/34.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB135, constB136)) | (~v101(constB136)) | (~v110(constB136)) | v100(constB136))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136))))),
% 54.49/34.67 inference(monotonicity,[status(thm)],[22636])).
% 54.49/34.67 tff(22638,plain,
% 54.49/34.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB135, constB136)) | (~v101(constB136)) | (~v110(constB136)) | v100(constB136))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136)))),
% 54.49/34.67 inference(transitivity,[status(thm)],[22637, 22635])).
% 54.49/34.67 tff(22639,plain,
% 54.49/34.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB135, constB136)) | (~v101(constB136)) | (~v110(constB136)) | v100(constB136))),
% 54.49/34.67 inference(quant_inst,[status(thm)],[])).
% 54.49/34.67 tff(22640,plain,
% 54.49/34.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB135, constB136)) | v100(constB136) | (~v101(constB136)) | (~v110(constB136))),
% 54.49/34.67 inference(modus_ponens,[status(thm)],[22639, 22638])).
% 54.49/34.67 tff(22641,plain,
% 54.49/34.67 (v100(constB136) | (~v101(constB136)) | (~v110(constB136))),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22640, 1160, 22617])).
% 54.49/34.67 tff(22642,plain,
% 54.49/34.67 (v100(constB136) | (~v110(constB136))),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22641, 22634])).
% 54.49/34.67 tff(22643,plain,
% 54.49/34.67 (~v110(constB136)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22642, 22614])).
% 54.49/34.67 tff(22644,plain,
% 54.49/34.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135)))),
% 54.49/34.67 inference(rewrite,[status(thm)],[])).
% 54.49/34.67 tff(22645,plain,
% 54.49/34.67 (((~nextState(constB135, constB136)) | (~v108(constB135)) | v110(constB136)) <=> ((~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135)))),
% 54.49/34.67 inference(rewrite,[status(thm)],[])).
% 54.49/34.67 tff(22646,plain,
% 54.49/34.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB135, constB136)) | (~v108(constB135)) | v110(constB136))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135))))),
% 54.49/34.67 inference(monotonicity,[status(thm)],[22645])).
% 54.49/34.67 tff(22647,plain,
% 54.49/34.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB135, constB136)) | (~v108(constB135)) | v110(constB136))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135)))),
% 54.49/34.67 inference(transitivity,[status(thm)],[22646, 22644])).
% 54.49/34.67 tff(22648,plain,
% 54.49/34.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB135, constB136)) | (~v108(constB135)) | v110(constB136))),
% 54.49/34.67 inference(quant_inst,[status(thm)],[])).
% 54.49/34.67 tff(22649,plain,
% 54.49/34.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB135, constB136)) | v110(constB136) | (~v108(constB135))),
% 54.49/34.67 inference(modus_ponens,[status(thm)],[22648, 22647])).
% 54.49/34.67 tff(22650,plain,
% 54.49/34.67 (v110(constB136) | (~v108(constB135))),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22649, 1095, 22617])).
% 54.49/34.67 tff(22651,plain,
% 54.49/34.67 (~v108(constB135)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22650, 22643])).
% 54.49/34.67 tff(22652,plain,
% 54.49/34.67 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB135) | (~v112(constB135)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB135) | (~v112(constB135)))),
% 54.49/34.67 inference(rewrite,[status(thm)],[])).
% 54.49/34.67 tff(22653,plain,
% 54.49/34.67 (((~v112(constB135)) | v108(constB135)) <=> (v108(constB135) | (~v112(constB135)))),
% 54.49/34.67 inference(rewrite,[status(thm)],[])).
% 54.49/34.67 tff(22654,plain,
% 54.49/34.67 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB135)) | v108(constB135))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB135) | (~v112(constB135))))),
% 54.49/34.67 inference(monotonicity,[status(thm)],[22653])).
% 54.49/34.67 tff(22655,plain,
% 54.49/34.67 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB135)) | v108(constB135))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB135) | (~v112(constB135)))),
% 54.49/34.67 inference(transitivity,[status(thm)],[22654, 22652])).
% 54.49/34.67 tff(22656,plain,
% 54.49/34.67 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB135)) | v108(constB135))),
% 54.49/34.67 inference(quant_inst,[status(thm)],[])).
% 54.49/34.67 tff(22657,plain,
% 54.49/34.67 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB135) | (~v112(constB135))),
% 54.49/34.67 inference(modus_ponens,[status(thm)],[22656, 22655])).
% 54.49/34.67 tff(22658,plain,
% 54.49/34.67 (~v112(constB135)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22657, 1075, 22651])).
% 54.49/34.67 tff(22659,assumption,(v26(constB135)), introduced(assumption)).
% 54.49/34.67 tff(22660,plain,
% 54.49/34.67 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB135))),
% 54.49/34.67 inference(quant_inst,[status(thm)],[])).
% 54.49/34.67 tff(22661,plain,
% 54.49/34.67 ($false),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22660, 828, 22659])).
% 54.49/34.67 tff(22662,plain,(~v26(constB135)), inference(lemma,lemma(discharge,[]))).
% 54.49/34.67 tff(22663,plain,
% 54.49/34.67 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB135) | (~v113(constB135)) | v112(constB135))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB135) | (~v113(constB135)) | v112(constB135))),
% 54.49/34.67 inference(rewrite,[status(thm)],[])).
% 54.49/34.67 tff(22664,plain,
% 54.49/34.67 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB135) | (~v113(constB135)) | v112(constB135))),
% 54.49/34.67 inference(quant_inst,[status(thm)],[])).
% 54.49/34.67 tff(22665,plain,
% 54.49/34.67 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB135) | (~v113(constB135)) | v112(constB135)),
% 54.49/34.67 inference(modus_ponens,[status(thm)],[22664, 22663])).
% 54.49/34.67 tff(22666,plain,
% 54.49/34.67 ((~v113(constB135)) | v112(constB135)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22665, 1063, 22662])).
% 54.49/34.67 tff(22667,plain,
% 54.49/34.67 (~v113(constB135)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22666, 22658])).
% 54.49/34.67 tff(22668,plain,
% 54.49/34.67 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB135) | (~v114(constB135)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB135) | (~v114(constB135)))),
% 54.49/34.67 inference(rewrite,[status(thm)],[])).
% 54.49/34.67 tff(22669,plain,
% 54.49/34.67 (((~v114(constB135)) | v113(constB135)) <=> (v113(constB135) | (~v114(constB135)))),
% 54.49/34.67 inference(rewrite,[status(thm)],[])).
% 54.49/34.67 tff(22670,plain,
% 54.49/34.67 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB135)) | v113(constB135))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB135) | (~v114(constB135))))),
% 54.49/34.67 inference(monotonicity,[status(thm)],[22669])).
% 54.49/34.67 tff(22671,plain,
% 54.49/34.67 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB135)) | v113(constB135))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB135) | (~v114(constB135)))),
% 54.49/34.67 inference(transitivity,[status(thm)],[22670, 22668])).
% 54.49/34.67 tff(22672,plain,
% 54.49/34.67 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB135)) | v113(constB135))),
% 54.49/34.67 inference(quant_inst,[status(thm)],[])).
% 54.49/34.67 tff(22673,plain,
% 54.49/34.67 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB135) | (~v114(constB135))),
% 54.49/34.67 inference(modus_ponens,[status(thm)],[22672, 22671])).
% 54.49/34.67 tff(22674,plain,
% 54.49/34.67 (~v114(constB135)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22673, 1049, 22667])).
% 54.49/34.67 tff(22675,plain,
% 54.49/34.67 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB135) | (~v115(constB135)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB135) | (~v115(constB135)))),
% 54.49/34.67 inference(rewrite,[status(thm)],[])).
% 54.49/34.67 tff(22676,plain,
% 54.49/34.67 (((~v115(constB135)) | v114(constB135)) <=> (v114(constB135) | (~v115(constB135)))),
% 54.49/34.67 inference(rewrite,[status(thm)],[])).
% 54.49/34.67 tff(22677,plain,
% 54.49/34.67 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB135)) | v114(constB135))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB135) | (~v115(constB135))))),
% 54.49/34.67 inference(monotonicity,[status(thm)],[22676])).
% 54.49/34.67 tff(22678,plain,
% 54.49/34.67 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB135)) | v114(constB135))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB135) | (~v115(constB135)))),
% 54.49/34.67 inference(transitivity,[status(thm)],[22677, 22675])).
% 54.49/34.67 tff(22679,plain,
% 54.49/34.67 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB135)) | v114(constB135))),
% 54.49/34.67 inference(quant_inst,[status(thm)],[])).
% 54.49/34.67 tff(22680,plain,
% 54.49/34.67 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB135) | (~v115(constB135))),
% 54.49/34.67 inference(modus_ponens,[status(thm)],[22679, 22678])).
% 54.49/34.67 tff(22681,plain,
% 54.49/34.67 (~v115(constB135)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22680, 1035, 22674])).
% 54.49/34.67 tff(22682,plain,
% 54.49/34.67 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB135)) | v115(constB135))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB135)) | v115(constB135))),
% 54.49/34.67 inference(rewrite,[status(thm)],[])).
% 54.49/34.67 tff(22683,plain,
% 54.49/34.67 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB135)) | v115(constB135))),
% 54.49/34.67 inference(quant_inst,[status(thm)],[])).
% 54.49/34.67 tff(22684,plain,
% 54.49/34.67 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB135)) | v115(constB135)),
% 54.49/34.67 inference(modus_ponens,[status(thm)],[22683, 22682])).
% 54.49/34.67 tff(22685,plain,
% 54.49/34.67 (~v116(constB135)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22684, 1021, 22681])).
% 54.49/34.67 tff(22686,plain,
% 54.49/34.67 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB135)) | v116(constB135))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB135)) | v116(constB135))),
% 54.49/34.67 inference(rewrite,[status(thm)],[])).
% 54.49/34.67 tff(22687,plain,
% 54.49/34.67 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB135)) | v116(constB135))),
% 54.49/34.67 inference(quant_inst,[status(thm)],[])).
% 54.49/34.67 tff(22688,plain,
% 54.49/34.67 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB135)) | v116(constB135)),
% 54.49/34.67 inference(modus_ponens,[status(thm)],[22687, 22686])).
% 54.49/34.67 tff(22689,plain,
% 54.49/34.67 (~v117(constB135)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22688, 1007, 22685])).
% 54.49/34.67 tff(22690,plain,
% 54.49/34.67 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB135)) | v117(constB135))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB135)) | v117(constB135))),
% 54.49/34.67 inference(rewrite,[status(thm)],[])).
% 54.49/34.67 tff(22691,plain,
% 54.49/34.67 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB135)) | v117(constB135))),
% 54.49/34.67 inference(quant_inst,[status(thm)],[])).
% 54.49/34.67 tff(22692,plain,
% 54.49/34.67 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB135)) | v117(constB135)),
% 54.49/34.67 inference(modus_ponens,[status(thm)],[22691, 22690])).
% 54.49/34.67 tff(22693,plain,
% 54.49/34.67 (~v121(constB135)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22692, 1742, 22689])).
% 54.49/34.67 tff(22694,assumption,(~v90(constB136, 0)), introduced(assumption)).
% 54.49/34.67 tff(22695,assumption,(v123(constB135)), introduced(assumption)).
% 54.49/34.67 tff(22696,plain,
% 54.49/34.67 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB135)) | v115(constB135))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB135)) | v115(constB135))),
% 54.49/34.67 inference(rewrite,[status(thm)],[])).
% 54.49/34.67 tff(22697,plain,
% 54.49/34.67 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB135)) | v115(constB135))),
% 54.49/34.67 inference(quant_inst,[status(thm)],[])).
% 54.49/34.67 tff(22698,plain,
% 54.49/34.67 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB135)) | v115(constB135)),
% 54.49/34.67 inference(modus_ponens,[status(thm)],[22697, 22696])).
% 54.49/34.67 tff(22699,plain,
% 54.49/34.67 (v115(constB135)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22698, 2291, 22695])).
% 54.49/34.67 tff(22700,plain,
% 54.49/34.67 (v114(constB135)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22680, 1035, 22699])).
% 54.49/34.67 tff(22701,plain,
% 54.49/34.67 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB135)) | v130(constB135, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB135)) | v130(constB135, 0))),
% 54.49/34.67 inference(rewrite,[status(thm)],[])).
% 54.49/34.67 tff(22702,plain,
% 54.49/34.67 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB135)) | v130(constB135, 0))),
% 54.49/34.67 inference(quant_inst,[status(thm)],[])).
% 54.49/34.67 tff(22703,plain,
% 54.49/34.67 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB135)) | v130(constB135, 0)),
% 54.49/34.67 inference(modus_ponens,[status(thm)],[22702, 22701])).
% 54.49/34.67 tff(22704,plain,
% 54.49/34.67 (v130(constB135, 0)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22703, 2622, 22695])).
% 54.49/34.67 tff(22705,plain,
% 54.49/34.67 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB135) | (~v130(constB135, 0)) | v127(constB135, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB135) | (~v130(constB135, 0)) | v127(constB135, 0))),
% 54.49/34.67 inference(rewrite,[status(thm)],[])).
% 54.49/34.67 tff(22706,plain,
% 54.49/34.67 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB135) | (~v130(constB135, 0)) | v127(constB135, 0))),
% 54.49/34.67 inference(quant_inst,[status(thm)],[])).
% 54.49/34.67 tff(22707,plain,
% 54.49/34.67 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB135) | (~v130(constB135, 0)) | v127(constB135, 0)),
% 54.49/34.67 inference(modus_ponens,[status(thm)],[22706, 22705])).
% 54.49/34.67 tff(22708,plain,
% 54.49/34.67 ((~v130(constB135, 0)) | v127(constB135, 0)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22707, 1347, 22662])).
% 54.49/34.67 tff(22709,plain,
% 54.49/34.67 (v127(constB135, 0)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22708, 22704])).
% 54.49/34.67 tff(22710,plain,
% 54.49/34.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB135, constB136)) | (~v127(constB135, 0)) | v129(constB136, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB135, constB136)) | (~v127(constB135, 0)) | v129(constB136, 0))),
% 54.49/34.67 inference(rewrite,[status(thm)],[])).
% 54.49/34.67 tff(22711,plain,
% 54.49/34.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB135, constB136)) | (~v127(constB135, 0)) | v129(constB136, 0))),
% 54.49/34.67 inference(quant_inst,[status(thm)],[])).
% 54.49/34.67 tff(22712,plain,
% 54.49/34.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB135, constB136)) | (~v127(constB135, 0)) | v129(constB136, 0)),
% 54.49/34.67 inference(modus_ponens,[status(thm)],[22711, 22710])).
% 54.49/34.67 tff(22713,plain,
% 54.49/34.67 ((~v127(constB135, 0)) | v129(constB136, 0)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22712, 1362, 22617])).
% 54.49/34.67 tff(22714,plain,
% 54.49/34.67 (v129(constB136, 0)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22713, 22709])).
% 54.49/34.67 tff(22715,plain,
% 54.49/34.67 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB136, 0) | (~v129(constB136, 0)) | (~v100(constB136)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB136, 0) | (~v129(constB136, 0)) | (~v100(constB136)))),
% 54.49/34.67 inference(rewrite,[status(thm)],[])).
% 54.49/34.67 tff(22716,plain,
% 54.49/34.67 ((v90(constB136, 0) | (~v100(constB136)) | (~v129(constB136, 0))) <=> (v90(constB136, 0) | (~v129(constB136, 0)) | (~v100(constB136)))),
% 54.49/34.67 inference(rewrite,[status(thm)],[])).
% 54.49/34.67 tff(22717,plain,
% 54.49/34.67 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB136, 0) | (~v100(constB136)) | (~v129(constB136, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB136, 0) | (~v129(constB136, 0)) | (~v100(constB136))))),
% 54.49/34.67 inference(monotonicity,[status(thm)],[22716])).
% 54.49/34.67 tff(22718,plain,
% 54.49/34.67 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB136, 0) | (~v100(constB136)) | (~v129(constB136, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB136, 0) | (~v129(constB136, 0)) | (~v100(constB136)))),
% 54.49/34.67 inference(transitivity,[status(thm)],[22717, 22715])).
% 54.49/34.67 tff(22719,plain,
% 54.49/34.67 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB136, 0) | (~v100(constB136)) | (~v129(constB136, 0)))),
% 54.49/34.67 inference(quant_inst,[status(thm)],[])).
% 54.49/34.67 tff(22720,plain,
% 54.49/34.67 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB136, 0) | (~v129(constB136, 0)) | (~v100(constB136))),
% 54.49/34.67 inference(modus_ponens,[status(thm)],[22719, 22718])).
% 54.49/34.67 tff(22721,plain,
% 54.49/34.67 ((~v129(constB136, 0)) | (~v100(constB136))),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22720, 1377, 22694])).
% 54.49/34.67 tff(22722,plain,
% 54.49/34.67 (~v100(constB136)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22721, 22714])).
% 54.49/34.67 tff(22723,plain,
% 54.49/34.67 (~v110(constB136)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22642, 22722])).
% 54.49/34.67 tff(22724,plain,
% 54.49/34.67 (~v108(constB135)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22650, 22723])).
% 54.49/34.67 tff(22725,plain,
% 54.49/34.67 (~v112(constB135)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22657, 1075, 22724])).
% 54.49/34.67 tff(22726,plain,
% 54.49/34.67 (~v113(constB135)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22666, 22725])).
% 54.49/34.67 tff(22727,plain,
% 54.49/34.67 ($false),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22673, 1049, 22726, 22700])).
% 54.49/34.67 tff(22728,plain,((~v123(constB135)) | v90(constB136, 0)), inference(lemma,lemma(discharge,[]))).
% 54.49/34.67 tff(22729,plain,
% 54.49/34.67 (~v123(constB135)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22728, 22694])).
% 54.49/34.67 tff(22730,plain,
% 54.49/34.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB135, 0)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB135, 0)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, 0))),
% 54.49/34.67 inference(rewrite,[status(thm)],[])).
% 54.49/34.67 tff(22731,plain,
% 54.49/34.67 (((~nextState(constB135, constB136)) | (~v90(constB135, 0)) | v100(constB136) | v90(constB136, 0)) <=> ((~v90(constB135, 0)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, 0))),
% 54.49/34.67 inference(rewrite,[status(thm)],[])).
% 54.49/34.67 tff(22732,plain,
% 54.49/34.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB135, constB136)) | (~v90(constB135, 0)) | v100(constB136) | v90(constB136, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB135, 0)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, 0)))),
% 54.49/34.67 inference(monotonicity,[status(thm)],[22731])).
% 54.49/34.67 tff(22733,plain,
% 54.49/34.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB135, constB136)) | (~v90(constB135, 0)) | v100(constB136) | v90(constB136, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB135, 0)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, 0))),
% 54.49/34.67 inference(transitivity,[status(thm)],[22732, 22730])).
% 54.49/34.67 tff(22734,plain,
% 54.49/34.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB135, constB136)) | (~v90(constB135, 0)) | v100(constB136) | v90(constB136, 0))),
% 54.49/34.67 inference(quant_inst,[status(thm)],[])).
% 54.49/34.67 tff(22735,plain,
% 54.49/34.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB135, 0)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, 0)),
% 54.49/34.67 inference(modus_ponens,[status(thm)],[22734, 22733])).
% 54.49/34.67 tff(22736,plain,
% 54.49/34.67 ((~v90(constB135, 0)) | v100(constB136) | v90(constB136, 0)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22735, 1395, 22617])).
% 54.49/34.67 tff(22737,plain,
% 54.49/34.67 (~v90(constB135, 0)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22736, 22614, 22694])).
% 54.49/34.67 tff(22738,plain,
% 54.49/34.67 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB135) | (~v118(constB135)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB135) | (~v118(constB135)))),
% 54.49/34.67 inference(rewrite,[status(thm)],[])).
% 54.49/34.67 tff(22739,plain,
% 54.49/34.67 (((~v118(constB135)) | v117(constB135)) <=> (v117(constB135) | (~v118(constB135)))),
% 54.49/34.67 inference(rewrite,[status(thm)],[])).
% 54.49/34.67 tff(22740,plain,
% 54.49/34.67 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB135)) | v117(constB135))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB135) | (~v118(constB135))))),
% 54.49/34.67 inference(monotonicity,[status(thm)],[22739])).
% 54.49/34.67 tff(22741,plain,
% 54.49/34.67 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB135)) | v117(constB135))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB135) | (~v118(constB135)))),
% 54.49/34.67 inference(transitivity,[status(thm)],[22740, 22738])).
% 54.49/34.67 tff(22742,plain,
% 54.49/34.67 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB135)) | v117(constB135))),
% 54.49/34.67 inference(quant_inst,[status(thm)],[])).
% 54.49/34.67 tff(22743,plain,
% 54.49/34.67 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB135) | (~v118(constB135))),
% 54.49/34.67 inference(modus_ponens,[status(thm)],[22742, 22741])).
% 54.49/34.67 tff(22744,plain,
% 54.49/34.67 (~v118(constB135)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22743, 993, 22689])).
% 54.49/34.67 tff(22745,plain,
% 54.49/34.67 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB135)) | v118(constB135))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB135)) | v118(constB135))),
% 54.49/34.67 inference(rewrite,[status(thm)],[])).
% 54.49/34.67 tff(22746,plain,
% 54.49/34.67 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB135)) | v118(constB135))),
% 54.49/34.67 inference(quant_inst,[status(thm)],[])).
% 54.49/34.67 tff(22747,plain,
% 54.49/34.67 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB135)) | v118(constB135)),
% 54.49/34.67 inference(modus_ponens,[status(thm)],[22746, 22745])).
% 54.49/34.67 tff(22748,plain,
% 54.49/34.67 (~v119(constB135)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22747, 982, 22744])).
% 54.49/34.67 tff(22749,assumption,(~v119(constB135)), introduced(assumption)).
% 54.49/34.67 tff(22750,assumption,(~v90(constB135, 1)), introduced(assumption)).
% 54.49/34.67 tff(22751,assumption,(~v90(constB135, 0)), introduced(assumption)).
% 54.49/34.67 tff(22752,assumption,(~v123(constB135)), introduced(assumption)).
% 54.49/34.67 tff(22753,plain,
% 54.49/34.67 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB135, 0) | v90(constB135, 1) | (~v90(constB135, 2)) | v123(constB135))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB135, 0) | v90(constB135, 1) | (~v90(constB135, 2)) | v123(constB135))),
% 54.49/34.67 inference(rewrite,[status(thm)],[])).
% 54.49/34.67 tff(22754,plain,
% 54.49/34.67 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB135, 0) | v90(constB135, 1) | (~v90(constB135, 2)) | v123(constB135))),
% 54.49/34.67 inference(quant_inst,[status(thm)],[])).
% 54.49/34.67 tff(22755,plain,
% 54.49/34.67 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB135, 0) | v90(constB135, 1) | (~v90(constB135, 2)) | v123(constB135)),
% 54.49/34.67 inference(modus_ponens,[status(thm)],[22754, 22753])).
% 54.49/34.67 tff(22756,plain,
% 54.49/34.67 (v90(constB135, 0) | v90(constB135, 1) | (~v90(constB135, 2))),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22755, 2308, 22752])).
% 54.49/34.67 tff(22757,plain,
% 54.49/34.67 (~v90(constB135, 2)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22756, 22750, 22751])).
% 54.49/34.67 tff(22758,plain,
% 54.49/34.67 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB135, 0) | v90(constB135, 1) | v90(constB135, 2) | v119(constB135))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB135, 0) | v90(constB135, 1) | v90(constB135, 2) | v119(constB135))),
% 54.49/34.67 inference(rewrite,[status(thm)],[])).
% 54.49/34.67 tff(22759,plain,
% 54.49/34.67 ((v90(constB135, 0) | v119(constB135) | v90(constB135, 1) | v90(constB135, 2)) <=> (v90(constB135, 0) | v90(constB135, 1) | v90(constB135, 2) | v119(constB135))),
% 54.49/34.67 inference(rewrite,[status(thm)],[])).
% 54.49/34.67 tff(22760,plain,
% 54.49/34.67 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB135, 0) | v119(constB135) | v90(constB135, 1) | v90(constB135, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB135, 0) | v90(constB135, 1) | v90(constB135, 2) | v119(constB135)))),
% 54.49/34.67 inference(monotonicity,[status(thm)],[22759])).
% 54.49/34.67 tff(22761,plain,
% 54.49/34.67 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB135, 0) | v119(constB135) | v90(constB135, 1) | v90(constB135, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB135, 0) | v90(constB135, 1) | v90(constB135, 2) | v119(constB135))),
% 54.49/34.67 inference(transitivity,[status(thm)],[22760, 22758])).
% 54.49/34.67 tff(22762,plain,
% 54.49/34.67 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB135, 0) | v119(constB135) | v90(constB135, 1) | v90(constB135, 2))),
% 54.49/34.67 inference(quant_inst,[status(thm)],[])).
% 54.49/34.67 tff(22763,plain,
% 54.49/34.67 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB135, 0) | v90(constB135, 1) | v90(constB135, 2) | v119(constB135)),
% 54.49/34.67 inference(modus_ponens,[status(thm)],[22762, 22761])).
% 54.49/34.67 tff(22764,plain,
% 54.49/34.67 (v90(constB135, 1) | v90(constB135, 2) | v119(constB135)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22763, 968, 22751])).
% 54.49/34.67 tff(22765,plain,
% 54.49/34.67 ($false),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22764, 22757, 22750, 22749])).
% 54.49/34.67 tff(22766,plain,(v90(constB135, 1) | v119(constB135) | v90(constB135, 0) | v123(constB135)), inference(lemma,lemma(discharge,[]))).
% 54.49/34.67 tff(22767,plain,
% 54.49/34.67 (v90(constB135, 1)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22766, 22748, 22737, 22729])).
% 54.49/34.67 tff(22768,plain,
% 54.49/34.67 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB135)) | v113(constB135))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB135)) | v113(constB135))),
% 54.49/34.67 inference(rewrite,[status(thm)],[])).
% 54.49/34.67 tff(22769,plain,
% 54.49/34.67 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB135)) | v113(constB135))),
% 54.49/34.67 inference(quant_inst,[status(thm)],[])).
% 54.49/34.67 tff(22770,plain,
% 54.49/34.67 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB135)) | v113(constB135)),
% 54.49/34.67 inference(modus_ponens,[status(thm)],[22769, 22768])).
% 54.49/34.67 tff(22771,plain,
% 54.49/34.67 (~v125(constB135)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22770, 2262, 22667])).
% 54.49/34.67 tff(22772,plain,
% 54.49/34.67 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB135, 0) | (~v90(constB135, 1)) | (~v90(constB135, 2)) | v125(constB135))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB135, 0) | (~v90(constB135, 1)) | (~v90(constB135, 2)) | v125(constB135))),
% 54.49/34.67 inference(rewrite,[status(thm)],[])).
% 54.49/34.67 tff(22773,plain,
% 54.49/34.67 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB135, 0) | (~v90(constB135, 1)) | (~v90(constB135, 2)) | v125(constB135))),
% 54.49/34.67 inference(quant_inst,[status(thm)],[])).
% 54.49/34.67 tff(22774,plain,
% 54.49/34.67 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB135, 0) | (~v90(constB135, 1)) | (~v90(constB135, 2)) | v125(constB135)),
% 54.49/34.67 inference(modus_ponens,[status(thm)],[22773, 22772])).
% 54.49/34.67 tff(22775,plain,
% 54.49/34.67 ((~v90(constB135, 1)) | (~v90(constB135, 2)) | v125(constB135)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22774, 2279, 22737])).
% 54.49/34.67 tff(22776,plain,
% 54.49/34.67 (~v90(constB135, 2)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22775, 22767, 22771])).
% 54.49/34.67 tff(22777,plain,
% 54.49/34.67 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB135, 0) | (~v90(constB135, 1)) | v90(constB135, 2) | v121(constB135))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB135, 0) | (~v90(constB135, 1)) | v90(constB135, 2) | v121(constB135))),
% 54.49/34.67 inference(rewrite,[status(thm)],[])).
% 54.49/34.67 tff(22778,plain,
% 54.49/34.67 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB135, 0) | (~v90(constB135, 1)) | v90(constB135, 2) | v121(constB135))),
% 54.49/34.67 inference(quant_inst,[status(thm)],[])).
% 54.49/34.67 tff(22779,plain,
% 54.49/34.67 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB135, 0) | (~v90(constB135, 1)) | v90(constB135, 2) | v121(constB135)),
% 54.49/34.67 inference(modus_ponens,[status(thm)],[22778, 22777])).
% 54.49/34.67 tff(22780,plain,
% 54.49/34.67 ((~v90(constB135, 1)) | v90(constB135, 2) | v121(constB135)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22779, 1731, 22737])).
% 54.49/34.67 tff(22781,plain,
% 54.49/34.67 ($false),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22780, 22776, 22767, 22693])).
% 54.49/34.67 tff(22782,plain,(v100(constB136) | v90(constB136, 0)), inference(lemma,lemma(discharge,[]))).
% 54.49/34.67 tff(22783,plain,
% 54.49/34.67 (v90(constB136, 0)),
% 54.49/34.67 inference(unit_resolution,[status(thm)],[22782, 22614])).
% 54.49/34.67 tff(22784,plain,
% 54.49/34.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB135, 0) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB135, 0) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, 0)))),
% 54.49/34.67 inference(rewrite,[status(thm)],[])).
% 54.49/34.67 tff(22785,plain,
% 54.49/34.67 (((~nextState(constB135, constB136)) | v90(constB135, 0) | v100(constB136) | (~v90(constB136, 0))) <=> (v90(constB135, 0) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, 0)))),
% 54.49/34.67 inference(rewrite,[status(thm)],[])).
% 54.49/34.67 tff(22786,plain,
% 54.49/34.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB135, constB136)) | v90(constB135, 0) | v100(constB136) | (~v90(constB136, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB135, 0) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, 0))))),
% 54.49/34.67 inference(monotonicity,[status(thm)],[22785])).
% 54.49/34.67 tff(22787,plain,
% 54.49/34.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB135, constB136)) | v90(constB135, 0) | v100(constB136) | (~v90(constB136, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB135, 0) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, 0)))),
% 54.49/34.68 inference(transitivity,[status(thm)],[22786, 22784])).
% 54.49/34.68 tff(22788,plain,
% 54.49/34.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB135, constB136)) | v90(constB135, 0) | v100(constB136) | (~v90(constB136, 0)))),
% 54.49/34.68 inference(quant_inst,[status(thm)],[])).
% 54.49/34.68 tff(22789,plain,
% 54.49/34.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB135, 0) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, 0))),
% 54.49/34.68 inference(modus_ponens,[status(thm)],[22788, 22787])).
% 54.49/34.68 tff(22790,plain,
% 54.49/34.68 (v90(constB135, 0) | v100(constB136) | (~v90(constB136, 0))),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22789, 947, 22617])).
% 54.49/34.68 tff(22791,plain,
% 54.49/34.68 (v90(constB135, 0)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22790, 22783, 22614])).
% 54.49/34.68 tff(22792,plain,
% 54.49/34.68 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v123(constB135)) | (~v90(constB135, 0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | (~v123(constB135)) | (~v90(constB135, 0)))),
% 54.49/34.68 inference(rewrite,[status(thm)],[])).
% 54.49/34.68 tff(22793,plain,
% 54.49/34.68 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v123(constB135)) | (~v90(constB135, 0)))),
% 54.49/34.68 inference(quant_inst,[status(thm)],[])).
% 54.49/34.68 tff(22794,plain,
% 54.49/34.68 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | (~v123(constB135)) | (~v90(constB135, 0))),
% 54.49/34.68 inference(modus_ponens,[status(thm)],[22793, 22792])).
% 54.49/34.68 tff(22795,plain,
% 54.49/34.68 (~v123(constB135)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22794, 5887, 22791])).
% 54.49/34.68 tff(22796,assumption,(v122(constB133)), introduced(assumption)).
% 54.49/34.68 tff(22797,plain,
% 54.49/34.68 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB133) | (~v122(constB133)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB133) | (~v122(constB133)))),
% 54.49/34.68 inference(rewrite,[status(thm)],[])).
% 54.49/34.68 tff(22798,plain,
% 54.49/34.68 (((~v122(constB133)) | v116(constB133)) <=> (v116(constB133) | (~v122(constB133)))),
% 54.49/34.68 inference(rewrite,[status(thm)],[])).
% 54.49/34.68 tff(22799,plain,
% 54.49/34.68 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB133)) | v116(constB133))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB133) | (~v122(constB133))))),
% 54.49/34.68 inference(monotonicity,[status(thm)],[22798])).
% 54.49/34.68 tff(22800,plain,
% 54.49/34.68 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB133)) | v116(constB133))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB133) | (~v122(constB133)))),
% 54.49/34.68 inference(transitivity,[status(thm)],[22799, 22797])).
% 54.49/34.68 tff(22801,plain,
% 54.49/34.68 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB133)) | v116(constB133))),
% 54.49/34.68 inference(quant_inst,[status(thm)],[])).
% 54.49/34.68 tff(22802,plain,
% 54.49/34.68 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB133) | (~v122(constB133))),
% 54.49/34.68 inference(modus_ponens,[status(thm)],[22801, 22800])).
% 54.49/34.68 tff(22803,plain,
% 54.49/34.68 (v116(constB133)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22802, 2120, 22796])).
% 54.49/34.68 tff(22804,plain,
% 54.49/34.68 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB133) | (~v116(constB133)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB133) | (~v116(constB133)))),
% 54.49/34.68 inference(rewrite,[status(thm)],[])).
% 54.49/34.68 tff(22805,plain,
% 54.49/34.68 (((~v116(constB133)) | v115(constB133)) <=> (v115(constB133) | (~v116(constB133)))),
% 54.49/34.68 inference(rewrite,[status(thm)],[])).
% 54.49/34.68 tff(22806,plain,
% 54.49/34.68 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB133)) | v115(constB133))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB133) | (~v116(constB133))))),
% 54.49/34.68 inference(monotonicity,[status(thm)],[22805])).
% 54.49/34.68 tff(22807,plain,
% 54.49/34.68 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB133)) | v115(constB133))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB133) | (~v116(constB133)))),
% 54.49/34.68 inference(transitivity,[status(thm)],[22806, 22804])).
% 54.49/34.68 tff(22808,plain,
% 54.49/34.68 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB133)) | v115(constB133))),
% 54.49/34.68 inference(quant_inst,[status(thm)],[])).
% 54.49/34.68 tff(22809,plain,
% 54.49/34.68 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB133) | (~v116(constB133))),
% 54.49/34.68 inference(modus_ponens,[status(thm)],[22808, 22807])).
% 54.49/34.68 tff(22810,plain,
% 54.49/34.68 (v115(constB133)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22809, 1021, 22803])).
% 54.49/34.68 tff(22811,plain,
% 54.49/34.68 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB133) | (~v115(constB133)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB133) | (~v115(constB133)))),
% 54.49/34.68 inference(rewrite,[status(thm)],[])).
% 54.49/34.68 tff(22812,plain,
% 54.49/34.68 (((~v115(constB133)) | v114(constB133)) <=> (v114(constB133) | (~v115(constB133)))),
% 54.49/34.68 inference(rewrite,[status(thm)],[])).
% 54.49/34.68 tff(22813,plain,
% 54.49/34.68 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB133)) | v114(constB133))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB133) | (~v115(constB133))))),
% 54.49/34.68 inference(monotonicity,[status(thm)],[22812])).
% 54.49/34.68 tff(22814,plain,
% 54.49/34.68 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB133)) | v114(constB133))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB133) | (~v115(constB133)))),
% 54.49/34.68 inference(transitivity,[status(thm)],[22813, 22811])).
% 54.49/34.68 tff(22815,plain,
% 54.49/34.68 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB133)) | v114(constB133))),
% 54.49/34.68 inference(quant_inst,[status(thm)],[])).
% 54.49/34.68 tff(22816,plain,
% 54.49/34.68 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB133) | (~v115(constB133))),
% 54.49/34.68 inference(modus_ponens,[status(thm)],[22815, 22814])).
% 54.49/34.68 tff(22817,plain,
% 54.49/34.68 (v114(constB133)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22816, 1035, 22810])).
% 54.49/34.68 tff(22818,plain,
% 54.49/34.68 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB133) | (~v114(constB133)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB133) | (~v114(constB133)))),
% 54.49/34.68 inference(rewrite,[status(thm)],[])).
% 54.49/34.68 tff(22819,plain,
% 54.49/34.68 (((~v114(constB133)) | v113(constB133)) <=> (v113(constB133) | (~v114(constB133)))),
% 54.49/34.68 inference(rewrite,[status(thm)],[])).
% 54.49/34.68 tff(22820,plain,
% 54.49/34.68 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB133)) | v113(constB133))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB133) | (~v114(constB133))))),
% 54.49/34.68 inference(monotonicity,[status(thm)],[22819])).
% 54.49/34.68 tff(22821,plain,
% 54.49/34.68 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB133)) | v113(constB133))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB133) | (~v114(constB133)))),
% 54.49/34.68 inference(transitivity,[status(thm)],[22820, 22818])).
% 54.49/34.68 tff(22822,plain,
% 54.49/34.68 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB133)) | v113(constB133))),
% 54.49/34.68 inference(quant_inst,[status(thm)],[])).
% 54.49/34.68 tff(22823,plain,
% 54.49/34.68 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB133) | (~v114(constB133))),
% 54.49/34.68 inference(modus_ponens,[status(thm)],[22822, 22821])).
% 54.49/34.68 tff(22824,plain,
% 54.49/34.68 (v113(constB133)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22823, 1049, 22817])).
% 54.49/34.68 tff(22825,plain,
% 54.49/34.68 (v108(constB133)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22449, 22824])).
% 54.49/34.68 tff(22826,plain,
% 54.49/34.68 (v110(constB134)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22457, 22825])).
% 54.49/34.68 tff(22827,plain,
% 54.49/34.68 (v100(constB134)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22480, 22826])).
% 54.49/34.68 tff(22828,plain,
% 54.49/34.68 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB133)) | v130(constB133, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB133)) | v130(constB133, 2))),
% 54.49/34.68 inference(rewrite,[status(thm)],[])).
% 54.49/34.68 tff(22829,plain,
% 54.49/34.68 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB133)) | v130(constB133, 2))),
% 54.49/34.68 inference(quant_inst,[status(thm)],[])).
% 54.49/34.68 tff(22830,plain,
% 54.49/34.68 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB133)) | v130(constB133, 2)),
% 54.49/34.68 inference(modus_ponens,[status(thm)],[22829, 22828])).
% 54.49/34.68 tff(22831,plain,
% 54.49/34.68 (v130(constB133, 2)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22830, 1967, 22796])).
% 54.49/34.68 tff(22832,plain,
% 54.49/34.68 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB133) | (~v130(constB133, 2)) | v127(constB133, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB133) | (~v130(constB133, 2)) | v127(constB133, 2))),
% 54.49/34.68 inference(rewrite,[status(thm)],[])).
% 54.49/34.68 tff(22833,plain,
% 54.49/34.68 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB133) | (~v130(constB133, 2)) | v127(constB133, 2))),
% 54.49/34.68 inference(quant_inst,[status(thm)],[])).
% 54.49/34.68 tff(22834,plain,
% 54.49/34.68 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB133) | (~v130(constB133, 2)) | v127(constB133, 2)),
% 54.49/34.68 inference(modus_ponens,[status(thm)],[22833, 22832])).
% 54.49/34.68 tff(22835,plain,
% 54.49/34.68 ((~v130(constB133, 2)) | v127(constB133, 2)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22834, 1981, 22396])).
% 54.49/34.68 tff(22836,plain,
% 54.49/34.68 (v127(constB133, 2)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22835, 22831])).
% 54.49/34.68 tff(22837,plain,
% 54.49/34.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB133, constB134)) | (~v127(constB133, 2)) | v129(constB134, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB133, constB134)) | (~v127(constB133, 2)) | v129(constB134, 2))),
% 54.49/34.68 inference(rewrite,[status(thm)],[])).
% 54.49/34.68 tff(22838,plain,
% 54.49/34.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB133, constB134)) | (~v127(constB133, 2)) | v129(constB134, 2))),
% 54.49/34.68 inference(quant_inst,[status(thm)],[])).
% 54.49/34.68 tff(22839,plain,
% 54.49/34.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB133, constB134)) | (~v127(constB133, 2)) | v129(constB134, 2)),
% 54.49/34.68 inference(modus_ponens,[status(thm)],[22838, 22837])).
% 54.49/34.68 tff(22840,plain,
% 54.49/34.68 ((~v127(constB133, 2)) | v129(constB134, 2)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22839, 1999, 22407])).
% 54.49/34.68 tff(22841,plain,
% 54.49/34.68 (v129(constB134, 2)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22840, 22836])).
% 54.49/34.68 tff(22842,plain,
% 54.49/34.68 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB134, 2) | (~v129(constB134, 2)) | (~v100(constB134)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB134, 2) | (~v129(constB134, 2)) | (~v100(constB134)))),
% 54.49/34.68 inference(rewrite,[status(thm)],[])).
% 54.49/34.68 tff(22843,plain,
% 54.49/34.68 ((v90(constB134, 2) | (~v100(constB134)) | (~v129(constB134, 2))) <=> (v90(constB134, 2) | (~v129(constB134, 2)) | (~v100(constB134)))),
% 54.49/34.68 inference(rewrite,[status(thm)],[])).
% 54.49/34.68 tff(22844,plain,
% 54.49/34.68 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB134, 2) | (~v100(constB134)) | (~v129(constB134, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB134, 2) | (~v129(constB134, 2)) | (~v100(constB134))))),
% 54.49/34.68 inference(monotonicity,[status(thm)],[22843])).
% 54.49/34.68 tff(22845,plain,
% 54.49/34.68 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB134, 2) | (~v100(constB134)) | (~v129(constB134, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB134, 2) | (~v129(constB134, 2)) | (~v100(constB134)))),
% 54.49/34.68 inference(transitivity,[status(thm)],[22844, 22842])).
% 54.49/34.68 tff(22846,plain,
% 54.49/34.68 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB134, 2) | (~v100(constB134)) | (~v129(constB134, 2)))),
% 54.49/34.68 inference(quant_inst,[status(thm)],[])).
% 54.49/34.68 tff(22847,plain,
% 54.49/34.68 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB134, 2) | (~v129(constB134, 2)) | (~v100(constB134))),
% 54.49/34.68 inference(modus_ponens,[status(thm)],[22846, 22845])).
% 54.49/34.68 tff(22848,plain,
% 54.49/34.68 (v90(constB134, 2) | (~v100(constB134))),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22847, 2324, 22841])).
% 54.49/34.68 tff(22849,plain,
% 54.49/34.68 (v90(constB134, 2)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22848, 22827])).
% 54.49/34.68 tff(22850,plain,
% 54.49/34.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB134, 2)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB134, 2)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, 2))),
% 54.49/34.68 inference(rewrite,[status(thm)],[])).
% 54.49/34.68 tff(22851,plain,
% 54.49/34.68 (((~nextState(constB134, constB135)) | (~v90(constB134, 2)) | v100(constB135) | v90(constB135, 2)) <=> ((~v90(constB134, 2)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, 2))),
% 54.49/34.68 inference(rewrite,[status(thm)],[])).
% 54.49/34.68 tff(22852,plain,
% 54.49/34.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB134, constB135)) | (~v90(constB134, 2)) | v100(constB135) | v90(constB135, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB134, 2)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, 2)))),
% 54.49/34.68 inference(monotonicity,[status(thm)],[22851])).
% 54.49/34.68 tff(22853,plain,
% 54.49/34.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB134, constB135)) | (~v90(constB134, 2)) | v100(constB135) | v90(constB135, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB134, 2)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, 2))),
% 54.49/34.68 inference(transitivity,[status(thm)],[22852, 22850])).
% 54.49/34.68 tff(22854,plain,
% 54.49/34.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB134, constB135)) | (~v90(constB134, 2)) | v100(constB135) | v90(constB135, 2))),
% 54.49/34.68 inference(quant_inst,[status(thm)],[])).
% 54.49/34.68 tff(22855,plain,
% 54.49/34.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB134, 2)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, 2)),
% 54.49/34.68 inference(modus_ponens,[status(thm)],[22854, 22853])).
% 54.49/34.68 tff(22856,plain,
% 54.49/34.68 ((~v90(constB134, 2)) | v100(constB135) | v90(constB135, 2)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22855, 2174, 22491])).
% 54.49/34.68 tff(22857,plain,
% 54.49/34.68 ((~v90(constB134, 2)) | v90(constB135, 2)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22856, 22503])).
% 54.49/34.68 tff(22858,plain,
% 54.49/34.68 (v90(constB135, 2)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22857, 22849])).
% 54.49/34.68 tff(22859,plain,
% 54.49/34.68 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB133)) | (~v130(constB133, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB133)) | (~v130(constB133, 0)))),
% 54.49/34.68 inference(rewrite,[status(thm)],[])).
% 54.49/34.68 tff(22860,plain,
% 54.49/34.68 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB133)) | (~v130(constB133, 0)))),
% 54.49/34.68 inference(quant_inst,[status(thm)],[])).
% 54.49/34.68 tff(22861,plain,
% 54.49/34.68 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB133)) | (~v130(constB133, 0))),
% 54.49/34.68 inference(modus_ponens,[status(thm)],[22860, 22859])).
% 54.49/34.68 tff(22862,plain,
% 54.49/34.68 (~v130(constB133, 0)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22861, 2407, 22796])).
% 54.49/34.68 tff(22863,plain,
% 54.49/34.68 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB133, 0)) | v26(constB133) | v130(constB133, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB133, 0)) | v26(constB133) | v130(constB133, 0))),
% 54.49/34.68 inference(rewrite,[status(thm)],[])).
% 54.49/34.68 tff(22864,plain,
% 54.49/34.68 ((v26(constB133) | v130(constB133, 0) | (~v127(constB133, 0))) <=> ((~v127(constB133, 0)) | v26(constB133) | v130(constB133, 0))),
% 54.49/34.68 inference(rewrite,[status(thm)],[])).
% 54.49/34.68 tff(22865,plain,
% 54.49/34.68 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB133) | v130(constB133, 0) | (~v127(constB133, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB133, 0)) | v26(constB133) | v130(constB133, 0)))),
% 54.49/34.68 inference(monotonicity,[status(thm)],[22864])).
% 54.49/34.68 tff(22866,plain,
% 54.49/34.68 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB133) | v130(constB133, 0) | (~v127(constB133, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB133, 0)) | v26(constB133) | v130(constB133, 0))),
% 54.49/34.68 inference(transitivity,[status(thm)],[22865, 22863])).
% 54.49/34.68 tff(22867,plain,
% 54.49/34.68 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB133) | v130(constB133, 0) | (~v127(constB133, 0)))),
% 54.49/34.68 inference(quant_inst,[status(thm)],[])).
% 54.49/34.68 tff(22868,plain,
% 54.49/34.68 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB133, 0)) | v26(constB133) | v130(constB133, 0)),
% 54.49/34.68 inference(modus_ponens,[status(thm)],[22867, 22866])).
% 54.49/34.68 tff(22869,plain,
% 54.49/34.68 ((~v127(constB133, 0)) | v130(constB133, 0)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22868, 1671, 22396])).
% 54.49/34.68 tff(22870,plain,
% 54.49/34.68 (~v127(constB133, 0)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22869, 22862])).
% 54.49/34.68 tff(22871,plain,
% 54.49/34.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB133, constB134)) | v127(constB133, 0) | (~v129(constB134, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB133, constB134)) | v127(constB133, 0) | (~v129(constB134, 0)))),
% 54.49/34.68 inference(rewrite,[status(thm)],[])).
% 54.49/34.68 tff(22872,plain,
% 54.49/34.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB133, constB134)) | v127(constB133, 0) | (~v129(constB134, 0)))),
% 54.49/34.68 inference(quant_inst,[status(thm)],[])).
% 54.49/34.68 tff(22873,plain,
% 54.49/34.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB133, constB134)) | v127(constB133, 0) | (~v129(constB134, 0))),
% 54.49/34.68 inference(modus_ponens,[status(thm)],[22872, 22871])).
% 54.49/34.68 tff(22874,plain,
% 54.49/34.68 (v127(constB133, 0) | (~v129(constB134, 0))),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22873, 1689, 22407])).
% 54.49/34.68 tff(22875,plain,
% 54.49/34.68 (~v129(constB134, 0)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22874, 22870])).
% 54.49/34.68 tff(22876,plain,
% 54.49/34.68 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB134, 0)) | v129(constB134, 0) | (~v100(constB134)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB134, 0)) | v129(constB134, 0) | (~v100(constB134)))),
% 54.49/34.68 inference(rewrite,[status(thm)],[])).
% 54.49/34.68 tff(22877,plain,
% 54.49/34.68 (((~v90(constB134, 0)) | (~v100(constB134)) | v129(constB134, 0)) <=> ((~v90(constB134, 0)) | v129(constB134, 0) | (~v100(constB134)))),
% 54.49/34.68 inference(rewrite,[status(thm)],[])).
% 54.49/34.68 tff(22878,plain,
% 54.49/34.68 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB134, 0)) | (~v100(constB134)) | v129(constB134, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB134, 0)) | v129(constB134, 0) | (~v100(constB134))))),
% 54.49/34.68 inference(monotonicity,[status(thm)],[22877])).
% 54.49/34.68 tff(22879,plain,
% 54.49/34.68 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB134, 0)) | (~v100(constB134)) | v129(constB134, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB134, 0)) | v129(constB134, 0) | (~v100(constB134)))),
% 54.49/34.68 inference(transitivity,[status(thm)],[22878, 22876])).
% 54.49/34.68 tff(22880,plain,
% 54.49/34.68 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB134, 0)) | (~v100(constB134)) | v129(constB134, 0))),
% 54.49/34.68 inference(quant_inst,[status(thm)],[])).
% 54.49/34.68 tff(22881,plain,
% 54.49/34.68 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB134, 0)) | v129(constB134, 0) | (~v100(constB134))),
% 54.49/34.68 inference(modus_ponens,[status(thm)],[22880, 22879])).
% 54.49/34.68 tff(22882,plain,
% 54.49/34.68 ((~v90(constB134, 0)) | (~v100(constB134))),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22881, 1704, 22875])).
% 54.49/34.68 tff(22883,plain,
% 54.49/34.68 (~v90(constB134, 0)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22882, 22827])).
% 54.49/34.68 tff(22884,plain,
% 54.49/34.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB134, 0) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB134, 0) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 0)))),
% 54.49/34.68 inference(rewrite,[status(thm)],[])).
% 54.49/34.68 tff(22885,plain,
% 54.49/34.68 (((~nextState(constB134, constB135)) | v90(constB134, 0) | v100(constB135) | (~v90(constB135, 0))) <=> (v90(constB134, 0) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 0)))),
% 54.49/34.68 inference(rewrite,[status(thm)],[])).
% 54.49/34.68 tff(22886,plain,
% 54.49/34.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB134, constB135)) | v90(constB134, 0) | v100(constB135) | (~v90(constB135, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB134, 0) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 0))))),
% 54.49/34.68 inference(monotonicity,[status(thm)],[22885])).
% 54.49/34.68 tff(22887,plain,
% 54.49/34.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB134, constB135)) | v90(constB134, 0) | v100(constB135) | (~v90(constB135, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB134, 0) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 0)))),
% 54.49/34.68 inference(transitivity,[status(thm)],[22886, 22884])).
% 54.49/34.68 tff(22888,plain,
% 54.49/34.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB134, constB135)) | v90(constB134, 0) | v100(constB135) | (~v90(constB135, 0)))),
% 54.49/34.68 inference(quant_inst,[status(thm)],[])).
% 54.49/34.68 tff(22889,plain,
% 54.49/34.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB134, 0) | (~nextState(constB134, constB135)) | v100(constB135) | (~v90(constB135, 0))),
% 54.49/34.68 inference(modus_ponens,[status(thm)],[22888, 22887])).
% 54.49/34.68 tff(22890,plain,
% 54.49/34.68 (v90(constB134, 0) | v100(constB135) | (~v90(constB135, 0))),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22889, 947, 22491])).
% 54.49/34.68 tff(22891,plain,
% 54.49/34.68 (v90(constB134, 0) | (~v90(constB135, 0))),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22890, 22503])).
% 54.49/34.68 tff(22892,plain,
% 54.49/34.68 (~v90(constB135, 0)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22891, 22883])).
% 54.49/34.68 tff(22893,plain,
% 54.49/34.68 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB133)) | (~v130(constB133, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB133)) | (~v130(constB133, 1)))),
% 54.49/34.68 inference(rewrite,[status(thm)],[])).
% 54.49/34.68 tff(22894,plain,
% 54.49/34.68 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB133)) | (~v130(constB133, 1)))),
% 54.49/34.68 inference(quant_inst,[status(thm)],[])).
% 54.49/34.68 tff(22895,plain,
% 54.49/34.68 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB133)) | (~v130(constB133, 1))),
% 54.49/34.68 inference(modus_ponens,[status(thm)],[22894, 22893])).
% 54.49/34.68 tff(22896,plain,
% 54.49/34.68 (~v130(constB133, 1)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22895, 2366, 22796])).
% 54.49/34.68 tff(22897,plain,
% 54.49/34.68 (~v127(constB133, 1)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22555, 22896])).
% 54.49/34.68 tff(22898,plain,
% 54.49/34.68 (~v129(constB134, 1)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22560, 22897])).
% 54.49/34.68 tff(22899,plain,
% 54.49/34.68 ((~v90(constB134, 1)) | (~v100(constB134))),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22567, 1309, 22898])).
% 54.49/34.68 tff(22900,plain,
% 54.49/34.68 (~v90(constB134, 1)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22899, 22827])).
% 54.49/34.68 tff(22901,plain,
% 54.49/34.68 (~v90(constB135, 1)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22576, 22900])).
% 54.49/34.68 tff(22902,plain,
% 54.49/34.68 ($false),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22756, 22901, 22892, 22858])).
% 54.49/34.68 tff(22903,plain,((~v122(constB133)) | v123(constB135)), inference(lemma,lemma(discharge,[]))).
% 54.49/34.68 tff(22904,plain,
% 54.49/34.68 (~v122(constB133)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22903, 22795])).
% 54.49/34.68 tff(22905,plain,
% 54.49/34.68 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB135)) | v116(constB135))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB135)) | v116(constB135))),
% 54.49/34.68 inference(rewrite,[status(thm)],[])).
% 54.49/34.68 tff(22906,plain,
% 54.49/34.68 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB135)) | v116(constB135))),
% 54.49/34.68 inference(quant_inst,[status(thm)],[])).
% 54.49/34.68 tff(22907,plain,
% 54.49/34.68 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB135)) | v116(constB135)),
% 54.49/34.68 inference(modus_ponens,[status(thm)],[22906, 22905])).
% 54.49/34.68 tff(22908,plain,
% 54.49/34.68 (~v122(constB135)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22907, 2120, 22685])).
% 54.49/34.68 tff(22909,assumption,(v121(constB133)), introduced(assumption)).
% 54.49/34.68 tff(22910,plain,
% 54.49/34.68 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB133) | (~v121(constB133)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB133) | (~v121(constB133)))),
% 54.49/34.68 inference(rewrite,[status(thm)],[])).
% 54.49/34.68 tff(22911,plain,
% 54.49/34.68 (((~v121(constB133)) | v117(constB133)) <=> (v117(constB133) | (~v121(constB133)))),
% 54.49/34.68 inference(rewrite,[status(thm)],[])).
% 54.49/34.68 tff(22912,plain,
% 54.49/34.68 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB133)) | v117(constB133))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB133) | (~v121(constB133))))),
% 54.49/34.68 inference(monotonicity,[status(thm)],[22911])).
% 54.49/34.68 tff(22913,plain,
% 54.49/34.68 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB133)) | v117(constB133))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB133) | (~v121(constB133)))),
% 54.49/34.68 inference(transitivity,[status(thm)],[22912, 22910])).
% 54.49/34.68 tff(22914,plain,
% 54.49/34.68 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB133)) | v117(constB133))),
% 54.49/34.68 inference(quant_inst,[status(thm)],[])).
% 54.49/34.68 tff(22915,plain,
% 54.49/34.68 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB133) | (~v121(constB133))),
% 54.49/34.68 inference(modus_ponens,[status(thm)],[22914, 22913])).
% 54.49/34.68 tff(22916,plain,
% 54.49/34.68 (v117(constB133)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22915, 1742, 22909])).
% 54.49/34.68 tff(22917,plain,
% 54.49/34.68 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB133) | (~v117(constB133)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB133) | (~v117(constB133)))),
% 54.49/34.68 inference(rewrite,[status(thm)],[])).
% 54.49/34.68 tff(22918,plain,
% 54.49/34.68 (((~v117(constB133)) | v116(constB133)) <=> (v116(constB133) | (~v117(constB133)))),
% 54.49/34.68 inference(rewrite,[status(thm)],[])).
% 54.49/34.68 tff(22919,plain,
% 54.49/34.68 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB133)) | v116(constB133))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB133) | (~v117(constB133))))),
% 54.49/34.68 inference(monotonicity,[status(thm)],[22918])).
% 54.49/34.68 tff(22920,plain,
% 54.49/34.68 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB133)) | v116(constB133))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB133) | (~v117(constB133)))),
% 54.49/34.68 inference(transitivity,[status(thm)],[22919, 22917])).
% 54.49/34.68 tff(22921,plain,
% 54.49/34.68 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB133)) | v116(constB133))),
% 54.49/34.68 inference(quant_inst,[status(thm)],[])).
% 54.49/34.68 tff(22922,plain,
% 54.49/34.68 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB133) | (~v117(constB133))),
% 54.49/34.68 inference(modus_ponens,[status(thm)],[22921, 22920])).
% 54.49/34.68 tff(22923,plain,
% 54.49/34.68 (v116(constB133)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22922, 1007, 22916])).
% 54.49/34.68 tff(22924,plain,
% 54.49/34.68 (v115(constB133)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22809, 1021, 22923])).
% 54.49/34.68 tff(22925,plain,
% 54.49/34.68 (v114(constB133)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22816, 1035, 22924])).
% 54.49/34.68 tff(22926,plain,
% 54.49/34.68 (v113(constB133)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22823, 1049, 22925])).
% 54.49/34.68 tff(22927,plain,
% 54.49/34.68 (v108(constB133)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22449, 22926])).
% 54.49/34.68 tff(22928,plain,
% 54.49/34.68 (v110(constB134)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22457, 22927])).
% 54.49/34.68 tff(22929,plain,
% 54.49/34.68 (v100(constB134)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22480, 22928])).
% 54.49/34.68 tff(22930,plain,
% 54.49/34.68 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB133)) | (~v130(constB133, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB133)) | (~v130(constB133, 2)))),
% 54.49/34.68 inference(rewrite,[status(thm)],[])).
% 54.49/34.68 tff(22931,plain,
% 54.49/34.68 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB133)) | (~v130(constB133, 2)))),
% 54.49/34.68 inference(quant_inst,[status(thm)],[])).
% 54.49/34.68 tff(22932,plain,
% 54.49/34.68 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB133)) | (~v130(constB133, 2))),
% 54.49/34.68 inference(modus_ponens,[status(thm)],[22931, 22930])).
% 54.49/34.68 tff(22933,plain,
% 54.49/34.68 (~v130(constB133, 2)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22932, 1821, 22909])).
% 54.49/34.68 tff(22934,plain,
% 54.49/34.68 (~v127(constB133, 2)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22403, 22933])).
% 54.49/34.68 tff(22935,plain,
% 54.49/34.68 (~v129(constB134, 2)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22411, 22934])).
% 54.49/34.68 tff(22936,plain,
% 54.49/34.68 ((~v90(constB134, 2)) | (~v100(constB134))),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22484, 1223, 22935])).
% 54.49/34.68 tff(22937,plain,
% 54.49/34.68 (~v90(constB134, 2)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22936, 22929])).
% 54.49/34.68 tff(22938,plain,
% 54.49/34.68 (~v90(constB135, 2)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22511, 22937])).
% 54.49/34.68 tff(22939,plain,
% 54.49/34.68 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB133)) | v130(constB133, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB133)) | v130(constB133, 0))),
% 54.49/34.68 inference(rewrite,[status(thm)],[])).
% 54.49/34.68 tff(22940,plain,
% 54.49/34.68 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB133)) | v130(constB133, 0))),
% 54.49/34.68 inference(quant_inst,[status(thm)],[])).
% 54.49/34.68 tff(22941,plain,
% 54.49/34.68 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB133)) | v130(constB133, 0)),
% 54.49/34.68 inference(modus_ponens,[status(thm)],[22940, 22939])).
% 54.49/34.68 tff(22942,plain,
% 54.49/34.68 (v130(constB133, 0)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22941, 1915, 22909])).
% 54.49/34.68 tff(22943,plain,
% 54.49/34.68 (v127(constB133, 0)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22521, 22942])).
% 54.49/34.68 tff(22944,plain,
% 54.49/34.68 (v129(constB134, 0)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22526, 22943])).
% 54.49/34.68 tff(22945,plain,
% 54.49/34.68 (v90(constB134, 0) | (~v100(constB134))),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22533, 1377, 22944])).
% 54.49/34.68 tff(22946,plain,
% 54.49/34.68 (v90(constB134, 0)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22945, 22929])).
% 54.49/34.68 tff(22947,plain,
% 54.49/34.68 (v90(constB135, 0)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22542, 22946])).
% 54.49/34.68 tff(22948,plain,
% 54.49/34.68 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB133)) | v130(constB133, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB133)) | v130(constB133, 1))),
% 54.49/34.68 inference(rewrite,[status(thm)],[])).
% 54.49/34.68 tff(22949,plain,
% 54.49/34.68 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB133)) | v130(constB133, 1))),
% 54.49/34.68 inference(quant_inst,[status(thm)],[])).
% 54.49/34.68 tff(22950,plain,
% 54.49/34.68 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB133)) | v130(constB133, 1)),
% 54.49/34.68 inference(modus_ponens,[status(thm)],[22949, 22948])).
% 54.49/34.68 tff(22951,plain,
% 54.49/34.68 (v130(constB133, 1)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22950, 1877, 22909])).
% 54.49/34.68 tff(22952,plain,
% 54.49/34.68 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB133) | (~v130(constB133, 1)) | v127(constB133, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB133) | (~v130(constB133, 1)) | v127(constB133, 1))),
% 54.49/34.68 inference(rewrite,[status(thm)],[])).
% 54.49/34.68 tff(22953,plain,
% 54.49/34.68 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB133) | (~v130(constB133, 1)) | v127(constB133, 1))),
% 54.49/34.68 inference(quant_inst,[status(thm)],[])).
% 54.49/34.68 tff(22954,plain,
% 54.49/34.68 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB133) | (~v130(constB133, 1)) | v127(constB133, 1)),
% 54.49/34.68 inference(modus_ponens,[status(thm)],[22953, 22952])).
% 54.49/34.68 tff(22955,plain,
% 54.49/34.68 ((~v130(constB133, 1)) | v127(constB133, 1)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22954, 1593, 22396])).
% 54.49/34.68 tff(22956,plain,
% 54.49/34.68 (v127(constB133, 1)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22955, 22951])).
% 54.49/34.68 tff(22957,plain,
% 54.49/34.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB133, constB134)) | (~v127(constB133, 1)) | v129(constB134, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB133, constB134)) | (~v127(constB133, 1)) | v129(constB134, 1))),
% 54.49/34.68 inference(rewrite,[status(thm)],[])).
% 54.49/34.68 tff(22958,plain,
% 54.49/34.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB133, constB134)) | (~v127(constB133, 1)) | v129(constB134, 1))),
% 54.49/34.68 inference(quant_inst,[status(thm)],[])).
% 54.49/34.68 tff(22959,plain,
% 54.49/34.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB133, constB134)) | (~v127(constB133, 1)) | v129(constB134, 1)),
% 54.49/34.68 inference(modus_ponens,[status(thm)],[22958, 22957])).
% 54.49/34.68 tff(22960,plain,
% 54.49/34.68 ((~v127(constB133, 1)) | v129(constB134, 1)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22959, 1608, 22407])).
% 54.49/34.68 tff(22961,plain,
% 54.49/34.68 (v129(constB134, 1)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22960, 22956])).
% 54.49/34.68 tff(22962,plain,
% 54.49/34.68 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB134, 1) | (~v129(constB134, 1)) | (~v100(constB134)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB134, 1) | (~v129(constB134, 1)) | (~v100(constB134)))),
% 54.49/34.68 inference(rewrite,[status(thm)],[])).
% 54.49/34.68 tff(22963,plain,
% 54.49/34.68 ((v90(constB134, 1) | (~v100(constB134)) | (~v129(constB134, 1))) <=> (v90(constB134, 1) | (~v129(constB134, 1)) | (~v100(constB134)))),
% 54.49/34.68 inference(rewrite,[status(thm)],[])).
% 54.49/34.68 tff(22964,plain,
% 54.49/34.68 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB134, 1) | (~v100(constB134)) | (~v129(constB134, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB134, 1) | (~v129(constB134, 1)) | (~v100(constB134))))),
% 54.49/34.68 inference(monotonicity,[status(thm)],[22963])).
% 54.49/34.68 tff(22965,plain,
% 54.49/34.68 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB134, 1) | (~v100(constB134)) | (~v129(constB134, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB134, 1) | (~v129(constB134, 1)) | (~v100(constB134)))),
% 54.49/34.68 inference(transitivity,[status(thm)],[22964, 22962])).
% 54.49/34.68 tff(22966,plain,
% 54.49/34.68 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB134, 1) | (~v100(constB134)) | (~v129(constB134, 1)))),
% 54.49/34.68 inference(quant_inst,[status(thm)],[])).
% 54.49/34.68 tff(22967,plain,
% 54.49/34.68 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB134, 1) | (~v129(constB134, 1)) | (~v100(constB134))),
% 54.49/34.68 inference(modus_ponens,[status(thm)],[22966, 22965])).
% 54.49/34.68 tff(22968,plain,
% 54.49/34.68 (v90(constB134, 1) | (~v100(constB134))),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22967, 1623, 22961])).
% 54.49/34.68 tff(22969,plain,
% 54.49/34.68 (v90(constB134, 1)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22968, 22929])).
% 54.49/34.68 tff(22970,plain,
% 54.49/34.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB134, 1)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB134, 1)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, 1))),
% 54.49/34.68 inference(rewrite,[status(thm)],[])).
% 54.49/34.68 tff(22971,plain,
% 54.49/34.68 (((~nextState(constB134, constB135)) | (~v90(constB134, 1)) | v100(constB135) | v90(constB135, 1)) <=> ((~v90(constB134, 1)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, 1))),
% 54.49/34.68 inference(rewrite,[status(thm)],[])).
% 54.49/34.68 tff(22972,plain,
% 54.49/34.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB134, constB135)) | (~v90(constB134, 1)) | v100(constB135) | v90(constB135, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB134, 1)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, 1)))),
% 54.49/34.68 inference(monotonicity,[status(thm)],[22971])).
% 54.49/34.68 tff(22973,plain,
% 54.49/34.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB134, constB135)) | (~v90(constB134, 1)) | v100(constB135) | v90(constB135, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB134, 1)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, 1))),
% 54.49/34.68 inference(transitivity,[status(thm)],[22972, 22970])).
% 54.49/34.68 tff(22974,plain,
% 54.49/34.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB134, constB135)) | (~v90(constB134, 1)) | v100(constB135) | v90(constB135, 1))),
% 54.49/34.68 inference(quant_inst,[status(thm)],[])).
% 54.49/34.68 tff(22975,plain,
% 54.49/34.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB134, 1)) | (~nextState(constB134, constB135)) | v100(constB135) | v90(constB135, 1)),
% 54.49/34.68 inference(modus_ponens,[status(thm)],[22974, 22973])).
% 54.49/34.68 tff(22976,plain,
% 54.49/34.68 ((~v90(constB134, 1)) | v100(constB135) | v90(constB135, 1)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22975, 1641, 22491])).
% 54.49/34.68 tff(22977,plain,
% 54.49/34.68 ((~v90(constB134, 1)) | v90(constB135, 1)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22976, 22503])).
% 54.49/34.68 tff(22978,plain,
% 54.49/34.68 (v90(constB135, 1)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22977, 22969])).
% 54.49/34.68 tff(22979,assumption,(~v122(constB135)), introduced(assumption)).
% 54.49/34.68 tff(22980,plain,
% 54.49/34.68 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB135, 0)) | (~v90(constB135, 1)) | v90(constB135, 2) | v122(constB135))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB135, 0)) | (~v90(constB135, 1)) | v90(constB135, 2) | v122(constB135))),
% 54.49/34.68 inference(rewrite,[status(thm)],[])).
% 54.49/34.68 tff(22981,plain,
% 54.49/34.68 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB135, 0)) | (~v90(constB135, 1)) | v90(constB135, 2) | v122(constB135))),
% 54.49/34.68 inference(quant_inst,[status(thm)],[])).
% 54.49/34.68 tff(22982,plain,
% 54.49/34.68 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB135, 0)) | (~v90(constB135, 1)) | v90(constB135, 2) | v122(constB135)),
% 54.49/34.68 inference(modus_ponens,[status(thm)],[22981, 22980])).
% 54.49/34.68 tff(22983,plain,
% 54.49/34.68 ((~v90(constB135, 0)) | (~v90(constB135, 1)) | v90(constB135, 2)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22982, 1956, 22979])).
% 54.49/34.68 tff(22984,plain,
% 54.49/34.68 ($false),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22983, 22978, 22947, 22938])).
% 54.49/34.68 tff(22985,plain,((~v121(constB133)) | v122(constB135)), inference(lemma,lemma(discharge,[]))).
% 54.49/34.68 tff(22986,plain,
% 54.49/34.68 (~v121(constB133)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22985, 22908])).
% 54.49/34.68 tff(22987,plain,
% 54.49/34.68 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB135)) | v118(constB135))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB135)) | v118(constB135))),
% 54.49/34.68 inference(rewrite,[status(thm)],[])).
% 54.49/34.68 tff(22988,plain,
% 54.49/34.68 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB135)) | v118(constB135))),
% 54.49/34.68 inference(quant_inst,[status(thm)],[])).
% 54.49/34.68 tff(22989,plain,
% 54.49/34.68 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB135)) | v118(constB135)),
% 54.49/34.68 inference(modus_ponens,[status(thm)],[22988, 22987])).
% 54.49/34.68 tff(22990,plain,
% 54.49/34.68 (~v120(constB135)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22989, 1425, 22744])).
% 54.49/34.68 tff(22991,assumption,(~v124(constB135)), introduced(assumption)).
% 54.49/34.68 tff(22992,plain,
% 54.49/34.68 (v90(constB134, 0)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22891, 22791])).
% 54.49/34.68 tff(22993,assumption,(~v90(constB133, 1)), introduced(assumption)).
% 54.49/34.68 tff(22994,plain,
% 54.49/34.68 (~v90(constB132, 1)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22222, 22993])).
% 54.49/34.68 tff(22995,plain,
% 54.49/34.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB132, 0)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB132, 0)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 0))),
% 54.49/34.68 inference(rewrite,[status(thm)],[])).
% 54.49/34.68 tff(22996,plain,
% 54.49/34.68 (((~nextState(constB132, constB133)) | (~v90(constB132, 0)) | v100(constB133) | v90(constB133, 0)) <=> ((~v90(constB132, 0)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 0))),
% 54.49/34.68 inference(rewrite,[status(thm)],[])).
% 54.49/34.68 tff(22997,plain,
% 54.49/34.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB132, constB133)) | (~v90(constB132, 0)) | v100(constB133) | v90(constB133, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB132, 0)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 0)))),
% 54.49/34.68 inference(monotonicity,[status(thm)],[22996])).
% 54.49/34.68 tff(22998,plain,
% 54.49/34.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB132, constB133)) | (~v90(constB132, 0)) | v100(constB133) | v90(constB133, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB132, 0)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 0))),
% 54.49/34.68 inference(transitivity,[status(thm)],[22997, 22995])).
% 54.49/34.68 tff(22999,plain,
% 54.49/34.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB132, constB133)) | (~v90(constB132, 0)) | v100(constB133) | v90(constB133, 0))),
% 54.49/34.68 inference(quant_inst,[status(thm)],[])).
% 54.49/34.68 tff(23000,plain,
% 54.49/34.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB132, 0)) | (~nextState(constB132, constB133)) | v100(constB133) | v90(constB133, 0)),
% 54.49/34.68 inference(modus_ponens,[status(thm)],[22999, 22998])).
% 54.49/34.68 tff(23001,plain,
% 54.49/34.68 ((~v90(constB132, 0)) | v100(constB133) | v90(constB133, 0)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[23000, 1395, 22202])).
% 54.49/34.68 tff(23002,plain,
% 54.49/34.68 ((~v90(constB132, 0)) | v90(constB133, 0)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[23001, 22214])).
% 54.49/34.68 tff(23003,plain,
% 54.49/34.68 (~v90(constB132, 0)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[23002, 22321])).
% 54.49/34.68 tff(23004,assumption,(~v90(constB132, 1)), introduced(assumption)).
% 54.49/34.68 tff(23005,plain,
% 54.49/34.68 (~v129(constB132, 1)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22381, 23004])).
% 54.49/34.68 tff(23006,plain,
% 54.49/34.68 (~v127(constB131, 1)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22187, 23005])).
% 54.49/34.68 tff(23007,plain,
% 54.49/34.68 (~v130(constB131, 1)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[22182, 23006])).
% 54.49/34.68 tff(23008,plain,
% 54.49/34.68 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB131)) | v130(constB131, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB131)) | v130(constB131, 1))),
% 54.49/34.68 inference(rewrite,[status(thm)],[])).
% 54.49/34.68 tff(23009,plain,
% 54.49/34.68 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB131)) | v130(constB131, 1))),
% 54.49/34.68 inference(quant_inst,[status(thm)],[])).
% 54.49/34.68 tff(23010,plain,
% 54.49/34.68 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB131)) | v130(constB131, 1)),
% 54.49/34.68 inference(modus_ponens,[status(thm)],[23009, 23008])).
% 54.49/34.68 tff(23011,plain,
% 54.49/34.68 (~v121(constB131)),
% 54.49/34.68 inference(unit_resolution,[status(thm)],[23010, 1877, 23007])).
% 54.49/34.68 tff(23012,plain,
% 54.49/34.68 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB131)) | v130(constB131, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB131)) | v130(constB131, 1))),
% 54.49/34.69 inference(rewrite,[status(thm)],[])).
% 54.49/34.69 tff(23013,plain,
% 54.49/34.69 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB131)) | v130(constB131, 1))),
% 54.49/34.69 inference(quant_inst,[status(thm)],[])).
% 54.49/34.69 tff(23014,plain,
% 54.49/34.69 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB131)) | v130(constB131, 1)),
% 54.49/34.69 inference(modus_ponens,[status(thm)],[23013, 23012])).
% 54.49/34.69 tff(23015,plain,
% 54.49/34.69 (~v120(constB131)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23014, 1579, 23007])).
% 54.49/34.69 tff(23016,plain,
% 54.49/34.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB132, 1) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB132, 1) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 1)))),
% 54.49/34.69 inference(rewrite,[status(thm)],[])).
% 54.49/34.69 tff(23017,plain,
% 54.49/34.69 (((~nextState(constB132, constB133)) | v90(constB132, 1) | v100(constB133) | (~v90(constB133, 1))) <=> (v90(constB132, 1) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 1)))),
% 54.49/34.69 inference(rewrite,[status(thm)],[])).
% 54.49/34.69 tff(23018,plain,
% 54.49/34.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB132, constB133)) | v90(constB132, 1) | v100(constB133) | (~v90(constB133, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB132, 1) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 1))))),
% 54.49/34.69 inference(monotonicity,[status(thm)],[23017])).
% 54.49/34.69 tff(23019,plain,
% 54.49/34.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB132, constB133)) | v90(constB132, 1) | v100(constB133) | (~v90(constB133, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB132, 1) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 1)))),
% 54.49/34.69 inference(transitivity,[status(thm)],[23018, 23016])).
% 54.49/34.69 tff(23020,plain,
% 54.49/34.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB132, constB133)) | v90(constB132, 1) | v100(constB133) | (~v90(constB133, 1)))),
% 54.49/34.69 inference(quant_inst,[status(thm)],[])).
% 54.49/34.69 tff(23021,plain,
% 54.49/34.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB132, 1) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 1))),
% 54.49/34.69 inference(modus_ponens,[status(thm)],[23020, 23019])).
% 54.49/34.69 tff(23022,plain,
% 54.49/34.69 (v90(constB132, 1) | v100(constB133) | (~v90(constB133, 1))),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23021, 926, 22202])).
% 54.49/34.69 tff(23023,plain,
% 54.49/34.69 (v90(constB132, 1) | (~v90(constB133, 1))),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23022, 22214])).
% 54.49/34.69 tff(23024,plain,
% 54.49/34.69 (~v90(constB133, 1)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23023, 23004])).
% 54.49/34.69 tff(23025,plain,
% 54.49/34.69 (v90(constB133, 1) | v90(constB133, 2)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[22332, 968, 22321, 22309])).
% 54.49/34.69 tff(23026,plain,
% 54.49/34.69 (v90(constB133, 2)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23025, 23024])).
% 54.49/34.69 tff(23027,plain,
% 54.49/34.69 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB133, 0) | v90(constB133, 1) | (~v90(constB133, 2)) | v123(constB133))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB133, 0) | v90(constB133, 1) | (~v90(constB133, 2)) | v123(constB133))),
% 54.49/34.69 inference(rewrite,[status(thm)],[])).
% 54.49/34.69 tff(23028,plain,
% 54.49/34.69 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB133, 0) | v90(constB133, 1) | (~v90(constB133, 2)) | v123(constB133))),
% 54.49/34.69 inference(quant_inst,[status(thm)],[])).
% 54.49/34.69 tff(23029,plain,
% 54.49/34.69 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB133, 0) | v90(constB133, 1) | (~v90(constB133, 2)) | v123(constB133)),
% 54.49/34.69 inference(modus_ponens,[status(thm)],[23028, 23027])).
% 54.49/34.69 tff(23030,plain,
% 54.49/34.69 (v90(constB133, 1) | (~v90(constB133, 2)) | v123(constB133)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23029, 2308, 22321])).
% 54.49/34.69 tff(23031,plain,
% 54.49/34.69 (v123(constB133)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23030, 23026, 23024])).
% 54.49/34.69 tff(23032,plain,
% 54.49/34.69 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB133)) | v130(constB133, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB133)) | v130(constB133, 0))),
% 54.49/34.69 inference(rewrite,[status(thm)],[])).
% 54.49/34.69 tff(23033,plain,
% 54.49/34.69 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB133)) | v130(constB133, 0))),
% 54.49/34.69 inference(quant_inst,[status(thm)],[])).
% 54.49/34.69 tff(23034,plain,
% 54.49/34.69 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB133)) | v130(constB133, 0)),
% 54.49/34.69 inference(modus_ponens,[status(thm)],[23033, 23032])).
% 54.49/34.69 tff(23035,plain,
% 54.49/34.69 (v130(constB133, 0)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23034, 2622, 23031])).
% 54.49/34.69 tff(23036,plain,
% 54.49/34.69 (v127(constB133, 0)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[22521, 23035])).
% 54.49/34.69 tff(23037,plain,
% 54.49/34.69 (v129(constB134, 0)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[22526, 23036])).
% 54.49/34.69 tff(23038,assumption,(~v90(constB131, 2)), introduced(assumption)).
% 54.49/34.69 tff(23039,assumption,(~v113(constB133)), introduced(assumption)).
% 54.49/34.69 tff(23040,plain,
% 54.49/34.69 (~v114(constB133)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[22823, 1049, 23039])).
% 54.49/34.69 tff(23041,plain,
% 54.49/34.69 (~v115(constB133)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[22816, 1035, 23040])).
% 54.49/34.69 tff(23042,plain,
% 54.49/34.69 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB133) | (~v123(constB133)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB133) | (~v123(constB133)))),
% 54.49/34.69 inference(rewrite,[status(thm)],[])).
% 54.49/34.69 tff(23043,plain,
% 54.49/34.69 (((~v123(constB133)) | v115(constB133)) <=> (v115(constB133) | (~v123(constB133)))),
% 54.49/34.69 inference(rewrite,[status(thm)],[])).
% 54.49/34.69 tff(23044,plain,
% 54.49/34.69 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB133)) | v115(constB133))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB133) | (~v123(constB133))))),
% 54.49/34.69 inference(monotonicity,[status(thm)],[23043])).
% 54.49/34.69 tff(23045,plain,
% 54.49/34.69 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB133)) | v115(constB133))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB133) | (~v123(constB133)))),
% 54.49/34.69 inference(transitivity,[status(thm)],[23044, 23042])).
% 54.49/34.69 tff(23046,plain,
% 54.49/34.69 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB133)) | v115(constB133))),
% 54.49/34.69 inference(quant_inst,[status(thm)],[])).
% 54.49/34.69 tff(23047,plain,
% 54.49/34.69 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB133) | (~v123(constB133))),
% 54.49/34.69 inference(modus_ponens,[status(thm)],[23046, 23045])).
% 54.49/34.69 tff(23048,plain,
% 54.49/34.69 (~v123(constB133)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23047, 2291, 23041])).
% 54.49/34.69 tff(23049,plain,
% 54.49/34.69 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB133) | (~v124(constB133)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB133) | (~v124(constB133)))),
% 54.49/34.69 inference(rewrite,[status(thm)],[])).
% 54.49/34.69 tff(23050,plain,
% 54.49/34.69 (((~v124(constB133)) | v114(constB133)) <=> (v114(constB133) | (~v124(constB133)))),
% 54.49/34.69 inference(rewrite,[status(thm)],[])).
% 54.49/34.69 tff(23051,plain,
% 54.49/34.69 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB133)) | v114(constB133))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB133) | (~v124(constB133))))),
% 54.49/34.69 inference(monotonicity,[status(thm)],[23050])).
% 54.49/34.69 tff(23052,plain,
% 54.49/34.69 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB133)) | v114(constB133))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB133) | (~v124(constB133)))),
% 54.49/34.69 inference(transitivity,[status(thm)],[23051, 23049])).
% 54.49/34.69 tff(23053,plain,
% 54.49/34.69 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB133)) | v114(constB133))),
% 54.49/34.69 inference(quant_inst,[status(thm)],[])).
% 54.49/34.69 tff(23054,plain,
% 54.49/34.69 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB133) | (~v124(constB133))),
% 54.49/34.69 inference(modus_ponens,[status(thm)],[23053, 23052])).
% 54.49/34.69 tff(23055,plain,
% 54.49/34.69 (~v124(constB133)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23054, 2674, 23040])).
% 54.49/34.69 tff(23056,plain,
% 54.49/34.69 (~v116(constB133)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[22809, 1021, 23041])).
% 54.49/34.69 tff(23057,plain,
% 54.49/34.69 (~v117(constB133)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[22922, 1007, 23056])).
% 54.49/34.69 tff(23058,plain,
% 54.49/34.69 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB133) | (~v118(constB133)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB133) | (~v118(constB133)))),
% 54.49/34.69 inference(rewrite,[status(thm)],[])).
% 54.49/34.69 tff(23059,plain,
% 54.49/34.69 (((~v118(constB133)) | v117(constB133)) <=> (v117(constB133) | (~v118(constB133)))),
% 54.49/34.69 inference(rewrite,[status(thm)],[])).
% 54.49/34.69 tff(23060,plain,
% 54.49/34.69 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB133)) | v117(constB133))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB133) | (~v118(constB133))))),
% 54.49/34.69 inference(monotonicity,[status(thm)],[23059])).
% 54.49/34.69 tff(23061,plain,
% 54.49/34.69 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB133)) | v117(constB133))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB133) | (~v118(constB133)))),
% 54.49/34.69 inference(transitivity,[status(thm)],[23060, 23058])).
% 54.49/34.69 tff(23062,plain,
% 54.49/34.69 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB133)) | v117(constB133))),
% 54.49/34.69 inference(quant_inst,[status(thm)],[])).
% 54.49/34.69 tff(23063,plain,
% 54.49/34.69 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB133) | (~v118(constB133))),
% 54.49/34.69 inference(modus_ponens,[status(thm)],[23062, 23061])).
% 54.49/34.69 tff(23064,plain,
% 54.49/34.69 (~v118(constB133)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23063, 993, 23057])).
% 54.49/34.69 tff(23065,plain,
% 54.49/34.69 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB133) | (~v119(constB133)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB133) | (~v119(constB133)))),
% 54.49/34.69 inference(rewrite,[status(thm)],[])).
% 54.49/34.69 tff(23066,plain,
% 54.49/34.69 (((~v119(constB133)) | v118(constB133)) <=> (v118(constB133) | (~v119(constB133)))),
% 54.49/34.69 inference(rewrite,[status(thm)],[])).
% 54.49/34.69 tff(23067,plain,
% 54.49/34.69 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB133)) | v118(constB133))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB133) | (~v119(constB133))))),
% 54.49/34.69 inference(monotonicity,[status(thm)],[23066])).
% 54.49/34.69 tff(23068,plain,
% 54.49/34.69 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB133)) | v118(constB133))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB133) | (~v119(constB133)))),
% 54.49/34.69 inference(transitivity,[status(thm)],[23067, 23065])).
% 54.49/34.69 tff(23069,plain,
% 54.49/34.69 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB133)) | v118(constB133))),
% 54.49/34.69 inference(quant_inst,[status(thm)],[])).
% 54.49/34.69 tff(23070,plain,
% 54.49/34.69 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB133) | (~v119(constB133))),
% 54.49/34.69 inference(modus_ponens,[status(thm)],[23069, 23068])).
% 54.49/34.69 tff(23071,plain,
% 54.49/34.69 (~v119(constB133)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23070, 982, 23064])).
% 54.49/34.69 tff(23072,plain,
% 54.49/34.69 (~v121(constB133)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[22915, 1742, 23057])).
% 54.49/34.69 tff(23073,plain,
% 54.49/34.69 (~v122(constB133)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[22802, 2120, 23056])).
% 54.49/34.69 tff(23074,plain,
% 54.49/34.69 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB133) | (~v120(constB133)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB133) | (~v120(constB133)))),
% 54.49/34.69 inference(rewrite,[status(thm)],[])).
% 54.49/34.69 tff(23075,plain,
% 54.49/34.69 (((~v120(constB133)) | v118(constB133)) <=> (v118(constB133) | (~v120(constB133)))),
% 54.49/34.69 inference(rewrite,[status(thm)],[])).
% 54.49/34.69 tff(23076,plain,
% 54.49/34.69 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB133)) | v118(constB133))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB133) | (~v120(constB133))))),
% 54.49/34.69 inference(monotonicity,[status(thm)],[23075])).
% 54.49/34.69 tff(23077,plain,
% 54.49/34.69 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB133)) | v118(constB133))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB133) | (~v120(constB133)))),
% 54.49/34.69 inference(transitivity,[status(thm)],[23076, 23074])).
% 54.49/34.69 tff(23078,plain,
% 54.49/34.69 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB133)) | v118(constB133))),
% 54.49/34.69 inference(quant_inst,[status(thm)],[])).
% 54.49/34.69 tff(23079,plain,
% 54.49/34.69 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB133) | (~v120(constB133))),
% 54.49/34.69 inference(modus_ponens,[status(thm)],[23078, 23077])).
% 54.49/34.69 tff(23080,plain,
% 54.49/34.69 (~v120(constB133)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23079, 1425, 23064])).
% 54.49/34.69 tff(23081,plain,
% 54.49/34.69 (v90(constB133, 0)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[22335, 22320, 22309, 22308])).
% 54.49/34.69 tff(23082,plain,
% 54.49/34.69 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB133, 0)) | (~v90(constB133, 1)) | v90(constB133, 2) | v122(constB133))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB133, 0)) | (~v90(constB133, 1)) | v90(constB133, 2) | v122(constB133))),
% 54.49/34.69 inference(rewrite,[status(thm)],[])).
% 54.49/34.69 tff(23083,plain,
% 54.49/34.69 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB133, 0)) | (~v90(constB133, 1)) | v90(constB133, 2) | v122(constB133))),
% 54.49/34.69 inference(quant_inst,[status(thm)],[])).
% 54.49/34.69 tff(23084,plain,
% 54.49/34.69 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB133, 0)) | (~v90(constB133, 1)) | v90(constB133, 2) | v122(constB133)),
% 54.49/34.69 inference(modus_ponens,[status(thm)],[23083, 23082])).
% 54.49/34.69 tff(23085,plain,
% 54.49/34.69 ((~v90(constB133, 0)) | (~v90(constB133, 1)) | v90(constB133, 2)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23084, 1956, 22345])).
% 54.49/34.69 tff(23086,plain,
% 54.49/34.69 (~v90(constB133, 1)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23085, 23081, 22320])).
% 54.49/34.69 tff(23087,assumption,(~v120(constB133)), introduced(assumption)).
% 54.49/34.69 tff(23088,plain,
% 54.49/34.69 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB133, 0)) | v90(constB133, 1) | v90(constB133, 2) | v120(constB133))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB133, 0)) | v90(constB133, 1) | v90(constB133, 2) | v120(constB133))),
% 54.49/34.69 inference(rewrite,[status(thm)],[])).
% 54.49/34.69 tff(23089,plain,
% 54.49/34.69 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB133, 0)) | v90(constB133, 1) | v90(constB133, 2) | v120(constB133))),
% 54.49/34.69 inference(quant_inst,[status(thm)],[])).
% 54.49/34.69 tff(23090,plain,
% 54.49/34.69 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB133, 0)) | v90(constB133, 1) | v90(constB133, 2) | v120(constB133)),
% 54.49/34.69 inference(modus_ponens,[status(thm)],[23089, 23088])).
% 54.49/34.69 tff(23091,plain,
% 54.49/34.69 ((~v90(constB133, 0)) | v90(constB133, 1) | v90(constB133, 2)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23090, 1414, 23087])).
% 54.49/34.69 tff(23092,plain,
% 54.49/34.69 ($false),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23091, 23086, 23081, 22320])).
% 54.49/34.69 tff(23093,plain,(v90(constB133, 2) | v120(constB133) | v122(constB133) | v119(constB133) | v121(constB133)), inference(lemma,lemma(discharge,[]))).
% 54.49/34.69 tff(23094,plain,
% 54.49/34.69 (v90(constB133, 2)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23093, 23080, 23073, 23072, 23071])).
% 54.49/34.69 tff(23095,assumption,(v90(constB133, 2)), introduced(assumption)).
% 54.49/34.69 tff(23096,assumption,(~v124(constB133)), introduced(assumption)).
% 54.49/34.69 tff(23097,plain,
% 54.49/34.69 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB133, 0)) | v90(constB133, 1) | (~v90(constB133, 2)) | v124(constB133))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB133, 0)) | v90(constB133, 1) | (~v90(constB133, 2)) | v124(constB133))),
% 54.49/34.69 inference(rewrite,[status(thm)],[])).
% 54.49/34.69 tff(23098,plain,
% 54.49/34.69 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB133, 0)) | v90(constB133, 1) | (~v90(constB133, 2)) | v124(constB133))),
% 54.49/34.69 inference(quant_inst,[status(thm)],[])).
% 54.49/34.69 tff(23099,plain,
% 54.49/34.69 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB133, 0)) | v90(constB133, 1) | (~v90(constB133, 2)) | v124(constB133)),
% 54.49/34.69 inference(modus_ponens,[status(thm)],[23098, 23097])).
% 54.49/34.69 tff(23100,plain,
% 54.49/34.69 ((~v90(constB133, 0)) | v90(constB133, 1) | (~v90(constB133, 2))),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23099, 2663, 23096])).
% 54.49/34.69 tff(23101,plain,
% 54.49/34.69 (~v90(constB133, 0)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23100, 22993, 23095])).
% 54.49/34.69 tff(23102,assumption,(~v123(constB133)), introduced(assumption)).
% 54.49/34.69 tff(23103,plain,
% 54.49/34.69 (v90(constB133, 0) | v90(constB133, 1) | (~v90(constB133, 2))),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23029, 2308, 23102])).
% 54.49/34.69 tff(23104,plain,
% 54.49/34.69 ($false),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23103, 23101, 22993, 23095])).
% 54.49/34.69 tff(23105,plain,(v90(constB133, 1) | (~v90(constB133, 2)) | v123(constB133) | v124(constB133)), inference(lemma,lemma(discharge,[]))).
% 54.49/34.69 tff(23106,plain,
% 54.49/34.69 (v90(constB133, 1)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23105, 23094, 23055, 23048])).
% 54.49/34.69 tff(23107,plain,
% 54.49/34.69 (v90(constB132, 1)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23023, 23106])).
% 54.49/34.69 tff(23108,plain,
% 54.49/34.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB132, 2) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB132, 2) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 2)))),
% 54.49/34.69 inference(rewrite,[status(thm)],[])).
% 54.49/34.69 tff(23109,plain,
% 54.49/34.69 (((~nextState(constB132, constB133)) | v90(constB132, 2) | v100(constB133) | (~v90(constB133, 2))) <=> (v90(constB132, 2) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 2)))),
% 54.49/34.69 inference(rewrite,[status(thm)],[])).
% 54.49/34.69 tff(23110,plain,
% 54.49/34.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB132, constB133)) | v90(constB132, 2) | v100(constB133) | (~v90(constB133, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB132, 2) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 2))))),
% 54.49/34.69 inference(monotonicity,[status(thm)],[23109])).
% 54.49/34.69 tff(23111,plain,
% 54.49/34.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB132, constB133)) | v90(constB132, 2) | v100(constB133) | (~v90(constB133, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB132, 2) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 2)))),
% 54.49/34.69 inference(transitivity,[status(thm)],[23110, 23108])).
% 54.49/34.69 tff(23112,plain,
% 54.49/34.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB132, constB133)) | v90(constB132, 2) | v100(constB133) | (~v90(constB133, 2)))),
% 54.49/34.69 inference(quant_inst,[status(thm)],[])).
% 54.49/34.69 tff(23113,plain,
% 54.49/34.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB132, 2) | (~nextState(constB132, constB133)) | v100(constB133) | (~v90(constB133, 2))),
% 54.49/34.69 inference(modus_ponens,[status(thm)],[23112, 23111])).
% 54.49/34.69 tff(23114,plain,
% 54.49/34.69 (v90(constB132, 2) | v100(constB133) | (~v90(constB133, 2))),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23113, 905, 22202])).
% 54.49/34.69 tff(23115,plain,
% 54.49/34.69 (v90(constB132, 2) | (~v90(constB133, 2))),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23114, 22214])).
% 54.49/34.69 tff(23116,plain,
% 54.49/34.69 (v90(constB132, 2)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23115, 23094])).
% 54.49/34.69 tff(23117,plain,
% 54.49/34.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB131, 2) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB131, 2) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, 2)))),
% 54.49/34.69 inference(rewrite,[status(thm)],[])).
% 54.49/34.69 tff(23118,plain,
% 54.49/34.69 (((~nextState(constB131, constB132)) | v90(constB131, 2) | v100(constB132) | (~v90(constB132, 2))) <=> (v90(constB131, 2) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, 2)))),
% 54.49/34.69 inference(rewrite,[status(thm)],[])).
% 54.49/34.69 tff(23119,plain,
% 54.49/34.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB131, constB132)) | v90(constB131, 2) | v100(constB132) | (~v90(constB132, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB131, 2) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, 2))))),
% 54.49/34.69 inference(monotonicity,[status(thm)],[23118])).
% 54.49/34.69 tff(23120,plain,
% 54.49/34.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB131, constB132)) | v90(constB131, 2) | v100(constB132) | (~v90(constB132, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB131, 2) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, 2)))),
% 54.49/34.69 inference(transitivity,[status(thm)],[23119, 23117])).
% 54.49/34.69 tff(23121,plain,
% 54.49/34.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB131, constB132)) | v90(constB131, 2) | v100(constB132) | (~v90(constB132, 2)))),
% 54.49/34.69 inference(quant_inst,[status(thm)],[])).
% 54.49/34.69 tff(23122,plain,
% 54.49/34.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB131, 2) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, 2))),
% 54.49/34.69 inference(modus_ponens,[status(thm)],[23121, 23120])).
% 54.49/34.69 tff(23123,plain,
% 54.49/34.69 (v90(constB131, 2) | v100(constB132) | (~v90(constB132, 2))),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23122, 905, 22143])).
% 54.49/34.69 tff(23124,plain,
% 54.49/34.69 (v100(constB132)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23123, 23116, 23038])).
% 54.49/34.69 tff(23125,plain,
% 54.49/34.69 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB132, 1)) | v129(constB132, 1) | (~v100(constB132)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB132, 1)) | v129(constB132, 1) | (~v100(constB132)))),
% 54.49/34.69 inference(rewrite,[status(thm)],[])).
% 54.49/34.69 tff(23126,plain,
% 54.49/34.69 (((~v90(constB132, 1)) | (~v100(constB132)) | v129(constB132, 1)) <=> ((~v90(constB132, 1)) | v129(constB132, 1) | (~v100(constB132)))),
% 54.49/34.69 inference(rewrite,[status(thm)],[])).
% 54.49/34.69 tff(23127,plain,
% 54.49/34.69 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB132, 1)) | (~v100(constB132)) | v129(constB132, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB132, 1)) | v129(constB132, 1) | (~v100(constB132))))),
% 54.49/34.69 inference(monotonicity,[status(thm)],[23126])).
% 54.49/34.69 tff(23128,plain,
% 54.49/34.69 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB132, 1)) | (~v100(constB132)) | v129(constB132, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB132, 1)) | v129(constB132, 1) | (~v100(constB132)))),
% 54.49/34.69 inference(transitivity,[status(thm)],[23127, 23125])).
% 54.49/34.69 tff(23129,plain,
% 54.49/34.69 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB132, 1)) | (~v100(constB132)) | v129(constB132, 1))),
% 54.49/34.69 inference(quant_inst,[status(thm)],[])).
% 54.49/34.69 tff(23130,plain,
% 54.49/34.69 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB132, 1)) | v129(constB132, 1) | (~v100(constB132))),
% 54.49/34.69 inference(modus_ponens,[status(thm)],[23129, 23128])).
% 54.49/34.69 tff(23131,plain,
% 54.49/34.69 (v129(constB132, 1)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23130, 1309, 23124, 23107])).
% 54.49/34.69 tff(23132,plain,
% 54.49/34.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB131, constB132)) | v127(constB131, 1) | (~v129(constB132, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB131, constB132)) | v127(constB131, 1) | (~v129(constB132, 1)))),
% 54.49/34.69 inference(rewrite,[status(thm)],[])).
% 54.49/34.69 tff(23133,plain,
% 54.49/34.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB131, constB132)) | v127(constB131, 1) | (~v129(constB132, 1)))),
% 54.49/34.69 inference(quant_inst,[status(thm)],[])).
% 54.49/34.69 tff(23134,plain,
% 54.49/34.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB131, constB132)) | v127(constB131, 1) | (~v129(constB132, 1))),
% 54.49/34.69 inference(modus_ponens,[status(thm)],[23133, 23132])).
% 54.49/34.69 tff(23135,plain,
% 54.49/34.69 (v127(constB131, 1) | (~v129(constB132, 1))),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23134, 1294, 22143])).
% 54.49/34.69 tff(23136,plain,
% 54.49/34.69 (v127(constB131, 1)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23135, 23131])).
% 54.49/34.69 tff(23137,assumption,(~v130(constB131, 1)), introduced(assumption)).
% 54.49/34.69 tff(23138,plain,
% 54.49/34.69 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB131, 1)) | v26(constB131) | v130(constB131, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB131, 1)) | v26(constB131) | v130(constB131, 1))),
% 54.49/34.69 inference(rewrite,[status(thm)],[])).
% 54.49/34.69 tff(23139,plain,
% 54.49/34.69 ((v26(constB131) | v130(constB131, 1) | (~v127(constB131, 1))) <=> ((~v127(constB131, 1)) | v26(constB131) | v130(constB131, 1))),
% 54.49/34.69 inference(rewrite,[status(thm)],[])).
% 54.49/34.69 tff(23140,plain,
% 54.49/34.69 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB131) | v130(constB131, 1) | (~v127(constB131, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB131, 1)) | v26(constB131) | v130(constB131, 1)))),
% 54.49/34.69 inference(monotonicity,[status(thm)],[23139])).
% 54.49/34.69 tff(23141,plain,
% 54.49/34.69 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB131) | v130(constB131, 1) | (~v127(constB131, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB131, 1)) | v26(constB131) | v130(constB131, 1))),
% 54.49/34.69 inference(transitivity,[status(thm)],[23140, 23138])).
% 54.49/34.69 tff(23142,plain,
% 54.49/34.69 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB131) | v130(constB131, 1) | (~v127(constB131, 1)))),
% 54.49/34.69 inference(quant_inst,[status(thm)],[])).
% 54.49/34.69 tff(23143,plain,
% 54.49/34.69 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB131, 1)) | v26(constB131) | v130(constB131, 1)),
% 54.49/34.69 inference(modus_ponens,[status(thm)],[23142, 23141])).
% 54.49/34.69 tff(23144,plain,
% 54.49/34.69 ((~v127(constB131, 1)) | v26(constB131)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23143, 1276, 23137])).
% 54.49/34.69 tff(23145,plain,
% 54.49/34.69 (v26(constB131)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23144, 23136])).
% 54.49/34.69 tff(23146,plain,
% 54.49/34.69 (~v125(constB133)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[22423, 2262, 23039])).
% 54.49/34.69 tff(23147,plain,
% 54.49/34.69 (v90(constB133, 0) | (~v90(constB133, 1)) | (~v90(constB133, 2))),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[22415, 2279, 23146])).
% 54.49/34.69 tff(23148,plain,
% 54.49/34.69 (v90(constB133, 0)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23147, 23106, 23094])).
% 54.49/34.69 tff(23149,plain,
% 54.49/34.69 (v90(constB132, 0)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[22318, 23148])).
% 54.49/34.69 tff(23150,plain,
% 54.49/34.69 (v129(constB132, 0)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[22293, 1704, 23124, 23149])).
% 54.49/34.69 tff(23151,plain,
% 54.49/34.69 (v127(constB131, 0)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[22286, 23150])).
% 54.49/34.69 tff(23152,plain,
% 54.49/34.69 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | ((~v26(constB131)) | (~v127(constB131, 0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | (~v26(constB131)) | (~v127(constB131, 0)))),
% 54.49/34.69 inference(rewrite,[status(thm)],[])).
% 54.49/34.69 tff(23153,plain,
% 54.49/34.69 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | ((~v26(constB131)) | (~v127(constB131, 0)))),
% 54.49/34.69 inference(quant_inst,[status(thm)],[])).
% 54.49/34.69 tff(23154,plain,
% 54.49/34.69 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 0)))) | (~v26(constB131)) | (~v127(constB131, 0))),
% 54.49/34.69 inference(modus_ponens,[status(thm)],[23153, 23152])).
% 54.49/34.69 tff(23155,plain,
% 54.49/34.69 ($false),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23154, 2241, 23151, 23145])).
% 54.49/34.69 tff(23156,plain,(v113(constB133) | v130(constB131, 1) | v90(constB131, 2)), inference(lemma,lemma(discharge,[]))).
% 54.49/34.69 tff(23157,plain,
% 54.49/34.69 (v113(constB133)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23156, 23007, 23038])).
% 54.49/34.69 tff(23158,plain,
% 54.49/34.69 (v108(constB133)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[22449, 23157])).
% 54.49/34.69 tff(23159,plain,
% 54.49/34.69 (v110(constB134)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[22457, 23158])).
% 54.49/34.69 tff(23160,plain,
% 54.49/34.69 (v100(constB134)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[22480, 23159])).
% 54.49/34.69 tff(23161,plain,
% 54.49/34.69 (v90(constB134, 0) | (~v129(constB134, 0))),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[22533, 1377, 23160])).
% 54.49/34.69 tff(23162,plain,
% 54.49/34.69 (v90(constB134, 0)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23161, 23037])).
% 54.49/34.69 tff(23163,plain,
% 54.49/34.69 (v90(constB135, 0)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[22542, 23162])).
% 54.49/34.69 tff(23164,plain,
% 54.49/34.69 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB133)) | (~v130(constB133, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB133)) | (~v130(constB133, 1)))),
% 54.49/34.69 inference(rewrite,[status(thm)],[])).
% 54.49/34.69 tff(23165,plain,
% 54.49/34.69 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB133)) | (~v130(constB133, 1)))),
% 54.49/34.69 inference(quant_inst,[status(thm)],[])).
% 54.49/34.69 tff(23166,plain,
% 54.49/34.69 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB133)) | (~v130(constB133, 1))),
% 54.49/34.69 inference(modus_ponens,[status(thm)],[23165, 23164])).
% 54.49/34.69 tff(23167,plain,
% 54.49/34.69 (~v130(constB133, 1)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23166, 2581, 23031])).
% 54.49/34.69 tff(23168,plain,
% 54.49/34.69 (~v127(constB133, 1)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[22555, 23167])).
% 54.49/34.69 tff(23169,plain,
% 54.49/34.69 (~v129(constB134, 1)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[22560, 23168])).
% 54.49/34.69 tff(23170,plain,
% 54.49/34.69 ((~v90(constB134, 1)) | v129(constB134, 1)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[22567, 1309, 23160])).
% 54.49/34.69 tff(23171,plain,
% 54.49/34.69 (~v90(constB134, 1)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23170, 23169])).
% 54.49/34.69 tff(23172,plain,
% 54.49/34.69 (~v90(constB135, 1)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[22576, 23171])).
% 54.49/34.69 tff(23173,plain,
% 54.49/34.69 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB133)) | v130(constB133, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB133)) | v130(constB133, 2))),
% 54.49/34.69 inference(rewrite,[status(thm)],[])).
% 54.49/34.69 tff(23174,plain,
% 54.49/34.69 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB133)) | v130(constB133, 2))),
% 54.49/34.69 inference(quant_inst,[status(thm)],[])).
% 54.49/34.69 tff(23175,plain,
% 54.49/34.69 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB133)) | v130(constB133, 2)),
% 54.49/34.69 inference(modus_ponens,[status(thm)],[23174, 23173])).
% 54.49/34.69 tff(23176,plain,
% 54.49/34.69 (v130(constB133, 2)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23175, 2525, 23031])).
% 54.49/34.69 tff(23177,plain,
% 54.49/34.69 (v127(constB133, 2)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[22835, 23176])).
% 54.49/34.69 tff(23178,plain,
% 54.49/34.69 (v129(constB134, 2)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[22840, 23177])).
% 54.49/34.69 tff(23179,plain,
% 54.49/34.69 (v90(constB134, 2) | (~v129(constB134, 2))),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[22847, 2324, 23160])).
% 54.49/34.69 tff(23180,plain,
% 54.49/34.69 (v90(constB134, 2)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23179, 23178])).
% 54.49/34.69 tff(23181,plain,
% 54.49/34.69 (v90(constB135, 2)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[22857, 23180])).
% 54.49/34.69 tff(23182,plain,
% 54.49/34.69 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB135, 0)) | v90(constB135, 1) | (~v90(constB135, 2)) | v124(constB135))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB135, 0)) | v90(constB135, 1) | (~v90(constB135, 2)) | v124(constB135))),
% 54.49/34.69 inference(rewrite,[status(thm)],[])).
% 54.49/34.69 tff(23183,plain,
% 54.49/34.69 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB135, 0)) | v90(constB135, 1) | (~v90(constB135, 2)) | v124(constB135))),
% 54.49/34.69 inference(quant_inst,[status(thm)],[])).
% 54.49/34.69 tff(23184,plain,
% 54.49/34.69 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB135, 0)) | v90(constB135, 1) | (~v90(constB135, 2)) | v124(constB135)),
% 54.49/34.69 inference(modus_ponens,[status(thm)],[23183, 23182])).
% 54.49/34.69 tff(23185,plain,
% 54.49/34.69 ((~v90(constB135, 0)) | v90(constB135, 1) | (~v90(constB135, 2))),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23184, 2663, 22991])).
% 54.49/34.69 tff(23186,plain,
% 54.49/34.69 ($false),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23185, 23181, 23172, 23163])).
% 54.49/34.69 tff(23187,plain,(v90(constB132, 1) | v124(constB135) | v90(constB131, 2) | v90(constB133, 0) | v119(constB133) | (~v100(constB132))), inference(lemma,lemma(discharge,[]))).
% 54.49/34.69 tff(23188,plain,
% 54.49/34.69 (v90(constB131, 2)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23187, 22321, 22991, 23004, 22309, 22346])).
% 54.49/34.69 tff(23189,plain,
% 54.49/34.69 (~v122(constB131)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[22298, 2797, 23188])).
% 54.49/34.69 tff(23190,plain,
% 54.49/34.69 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v119(constB131)) | (~v90(constB131, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | (~v119(constB131)) | (~v90(constB131, 2)))),
% 54.49/34.69 inference(rewrite,[status(thm)],[])).
% 54.49/34.69 tff(23191,plain,
% 54.49/34.69 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v119(constB131)) | (~v90(constB131, 2)))),
% 54.49/34.69 inference(quant_inst,[status(thm)],[])).
% 54.49/34.69 tff(23192,plain,
% 54.49/34.69 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | (~v119(constB131)) | (~v90(constB131, 2))),
% 54.49/34.69 inference(modus_ponens,[status(thm)],[23191, 23190])).
% 54.49/34.69 tff(23193,plain,
% 54.49/34.69 (~v119(constB131)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23192, 3814, 23188])).
% 54.49/34.69 tff(23194,plain,
% 54.49/34.69 ($false),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[22584, 23193, 23189, 22308, 22345, 22309, 22346, 22578, 23015, 23011, 23003])).
% 54.49/34.69 tff(23195,plain,(v90(constB133, 0) | v121(constB133) | v122(constB133) | v119(constB133) | (~v100(constB132)) | v120(constB135) | v124(constB135) | v90(constB132, 1)), inference(lemma,lemma(discharge,[]))).
% 54.49/34.69 tff(23196,plain,
% 54.49/34.69 (v90(constB133, 0)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23195, 22994, 22345, 22309, 22346, 22578, 22991, 22308])).
% 54.49/34.69 tff(23197,plain,
% 54.49/34.69 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v123(constB133)) | (~v90(constB133, 0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | (~v123(constB133)) | (~v90(constB133, 0)))),
% 54.49/34.69 inference(rewrite,[status(thm)],[])).
% 54.49/34.69 tff(23198,plain,
% 54.49/34.69 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v123(constB133)) | (~v90(constB133, 0)))),
% 54.49/34.69 inference(quant_inst,[status(thm)],[])).
% 54.49/34.69 tff(23199,plain,
% 54.49/34.69 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | (~v123(constB133)) | (~v90(constB133, 0))),
% 54.49/34.69 inference(modus_ponens,[status(thm)],[23198, 23197])).
% 54.49/34.69 tff(23200,plain,
% 54.49/34.69 (~v123(constB133)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23199, 5887, 23196])).
% 54.49/34.69 tff(23201,assumption,(~v130(constB133, 1)), introduced(assumption)).
% 54.49/34.69 tff(23202,plain,
% 54.49/34.69 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB133)) | v130(constB133, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB133)) | v130(constB133, 1))),
% 54.49/34.69 inference(rewrite,[status(thm)],[])).
% 54.49/34.69 tff(23203,plain,
% 54.49/34.69 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB133)) | v130(constB133, 1))),
% 54.49/34.69 inference(quant_inst,[status(thm)],[])).
% 54.49/34.69 tff(23204,plain,
% 54.49/34.69 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB133)) | v130(constB133, 1)),
% 54.49/34.69 inference(modus_ponens,[status(thm)],[23203, 23202])).
% 54.49/34.69 tff(23205,plain,
% 54.49/34.69 (~v120(constB133)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23204, 1579, 23201])).
% 54.49/34.69 tff(23206,plain,
% 54.49/34.69 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB133)) | v130(constB133, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB133)) | v130(constB133, 1))),
% 54.49/34.69 inference(rewrite,[status(thm)],[])).
% 54.49/34.69 tff(23207,plain,
% 54.49/34.69 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB133)) | v130(constB133, 1))),
% 54.49/34.69 inference(quant_inst,[status(thm)],[])).
% 54.49/34.69 tff(23208,plain,
% 54.49/34.69 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB133)) | v130(constB133, 1)),
% 54.49/34.69 inference(modus_ponens,[status(thm)],[23207, 23206])).
% 54.49/34.69 tff(23209,plain,
% 54.49/34.69 (~v124(constB133)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23208, 2808, 23201])).
% 54.49/34.69 tff(23210,plain,
% 54.49/34.69 (~v90(constB133, 2)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23105, 23209, 23102, 22993])).
% 54.49/34.69 tff(23211,plain,
% 54.49/34.69 ($false),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23093, 23210, 23205, 22309, 22308, 22345])).
% 54.49/34.69 tff(23212,plain,(v130(constB133, 1) | v119(constB133) | v121(constB133) | v122(constB133) | v123(constB133) | v90(constB133, 1)), inference(lemma,lemma(discharge,[]))).
% 54.49/34.69 tff(23213,plain,
% 54.49/34.69 (v130(constB133, 1)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23212, 23200, 22993, 22345, 22308, 22309])).
% 54.49/34.69 tff(23214,assumption,(v90(constB133, 0)), introduced(assumption)).
% 54.49/34.69 tff(23215,assumption,(~v100(constB134)), introduced(assumption)).
% 54.49/34.69 tff(23216,plain,
% 54.49/34.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB133, 0)) | (~nextState(constB133, constB134)) | v100(constB134) | v90(constB134, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB133, 0)) | (~nextState(constB133, constB134)) | v100(constB134) | v90(constB134, 0))),
% 54.49/34.69 inference(rewrite,[status(thm)],[])).
% 54.49/34.69 tff(23217,plain,
% 54.49/34.69 (((~nextState(constB133, constB134)) | (~v90(constB133, 0)) | v100(constB134) | v90(constB134, 0)) <=> ((~v90(constB133, 0)) | (~nextState(constB133, constB134)) | v100(constB134) | v90(constB134, 0))),
% 54.49/34.69 inference(rewrite,[status(thm)],[])).
% 54.49/34.69 tff(23218,plain,
% 54.49/34.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB133, constB134)) | (~v90(constB133, 0)) | v100(constB134) | v90(constB134, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB133, 0)) | (~nextState(constB133, constB134)) | v100(constB134) | v90(constB134, 0)))),
% 54.49/34.69 inference(monotonicity,[status(thm)],[23217])).
% 54.49/34.69 tff(23219,plain,
% 54.49/34.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB133, constB134)) | (~v90(constB133, 0)) | v100(constB134) | v90(constB134, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB133, 0)) | (~nextState(constB133, constB134)) | v100(constB134) | v90(constB134, 0))),
% 54.49/34.69 inference(transitivity,[status(thm)],[23218, 23216])).
% 54.49/34.69 tff(23220,plain,
% 54.49/34.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB133, constB134)) | (~v90(constB133, 0)) | v100(constB134) | v90(constB134, 0))),
% 54.49/34.69 inference(quant_inst,[status(thm)],[])).
% 54.49/34.69 tff(23221,plain,
% 54.49/34.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB133, 0)) | (~nextState(constB133, constB134)) | v100(constB134) | v90(constB134, 0)),
% 54.49/34.69 inference(modus_ponens,[status(thm)],[23220, 23219])).
% 54.49/34.69 tff(23222,plain,
% 54.49/34.69 ((~v90(constB133, 0)) | v100(constB134) | v90(constB134, 0)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23221, 1395, 22407])).
% 54.49/34.69 tff(23223,plain,
% 54.49/34.69 (v90(constB134, 0)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23222, 23215, 23214])).
% 54.49/34.69 tff(23224,plain,
% 54.49/34.69 (v90(constB135, 0)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[22542, 23223])).
% 54.49/34.69 tff(23225,plain,
% 54.49/34.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB133, 1) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB133, 1) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, 1)))),
% 54.49/34.69 inference(rewrite,[status(thm)],[])).
% 54.49/34.69 tff(23226,plain,
% 54.49/34.69 (((~nextState(constB133, constB134)) | v90(constB133, 1) | v100(constB134) | (~v90(constB134, 1))) <=> (v90(constB133, 1) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, 1)))),
% 54.49/34.69 inference(rewrite,[status(thm)],[])).
% 54.49/34.69 tff(23227,plain,
% 54.49/34.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB133, constB134)) | v90(constB133, 1) | v100(constB134) | (~v90(constB134, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB133, 1) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, 1))))),
% 54.49/34.69 inference(monotonicity,[status(thm)],[23226])).
% 54.49/34.69 tff(23228,plain,
% 54.49/34.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB133, constB134)) | v90(constB133, 1) | v100(constB134) | (~v90(constB134, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB133, 1) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, 1)))),
% 54.49/34.69 inference(transitivity,[status(thm)],[23227, 23225])).
% 54.49/34.69 tff(23229,plain,
% 54.49/34.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB133, constB134)) | v90(constB133, 1) | v100(constB134) | (~v90(constB134, 1)))),
% 54.49/34.69 inference(quant_inst,[status(thm)],[])).
% 54.49/34.69 tff(23230,plain,
% 54.49/34.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB133, 1) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, 1))),
% 54.49/34.69 inference(modus_ponens,[status(thm)],[23229, 23228])).
% 54.49/34.69 tff(23231,plain,
% 54.49/34.69 (v90(constB133, 1) | v100(constB134) | (~v90(constB134, 1))),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23230, 926, 22407])).
% 54.49/34.69 tff(23232,plain,
% 54.49/34.69 (~v90(constB134, 1)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23231, 23215, 22993])).
% 54.49/34.69 tff(23233,plain,
% 54.49/34.69 (~v90(constB135, 1)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[22576, 23232])).
% 54.49/34.69 tff(23234,plain,
% 54.49/34.69 (~v90(constB135, 2)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23185, 23233, 23224])).
% 54.49/34.69 tff(23235,plain,
% 54.49/34.69 ($false),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[22582, 23224, 23233, 23234])).
% 54.49/34.69 tff(23236,plain,(v100(constB134) | v120(constB135) | v124(constB135) | (~v90(constB133, 0)) | v90(constB133, 1)), inference(lemma,lemma(discharge,[]))).
% 54.49/34.69 tff(23237,plain,
% 54.49/34.69 (v100(constB134)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23236, 23196, 22991, 22993, 22578])).
% 54.49/34.69 tff(23238,assumption,(v90(constB134, 0)), introduced(assumption)).
% 54.49/34.69 tff(23239,plain,
% 54.49/34.69 (v129(constB134, 0) | (~v100(constB134))),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[22881, 1704, 23238])).
% 54.49/34.69 tff(23240,plain,
% 54.49/34.69 (v129(constB134, 0)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23239, 23237])).
% 54.49/34.69 tff(23241,plain,
% 54.49/34.69 (v127(constB133, 0)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[22874, 23240])).
% 54.49/34.69 tff(23242,plain,
% 54.49/34.69 (v130(constB133, 0)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[22869, 23241])).
% 54.49/34.69 tff(23243,plain,
% 54.49/34.69 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB133)) | (~v130(constB133, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB133)) | (~v130(constB133, 0)))),
% 54.49/34.69 inference(rewrite,[status(thm)],[])).
% 54.49/34.69 tff(23244,plain,
% 54.49/34.69 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB133)) | (~v130(constB133, 0)))),
% 54.49/34.69 inference(quant_inst,[status(thm)],[])).
% 54.49/34.69 tff(23245,plain,
% 54.49/34.69 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB133)) | (~v130(constB133, 0))),
% 54.49/34.69 inference(modus_ponens,[status(thm)],[23244, 23243])).
% 54.49/34.69 tff(23246,plain,
% 54.49/34.69 (~v124(constB133)),
% 54.49/34.69 inference(unit_resolution,[status(thm)],[23245, 3274, 23242])).
% 54.49/34.69 tff(23247,plain,
% 54.49/34.69 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB133)) | (~v130(constB133, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB133)) | (~v130(constB133, 0)))),
% 54.49/34.70 inference(rewrite,[status(thm)],[])).
% 54.49/34.70 tff(23248,plain,
% 54.49/34.70 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB133)) | (~v130(constB133, 0)))),
% 54.49/34.70 inference(quant_inst,[status(thm)],[])).
% 54.49/34.70 tff(23249,plain,
% 54.49/34.70 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB133)) | (~v130(constB133, 0))),
% 54.49/34.70 inference(modus_ponens,[status(thm)],[23248, 23247])).
% 54.49/34.70 tff(23250,plain,
% 54.49/34.70 (~v120(constB133)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23249, 1657, 23242])).
% 54.49/34.70 tff(23251,plain,
% 54.49/34.70 (v120(constB133) | v123(constB133) | v124(constB133) | (~v130(constB133, 1))),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[22546, 3309, 22309, 22308, 22345])).
% 54.49/34.70 tff(23252,plain,
% 54.49/34.70 ($false),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23251, 23250, 23200, 23246, 23213])).
% 54.49/34.70 tff(23253,plain,(v90(constB133, 1) | v119(constB133) | v121(constB133) | v122(constB133) | (~v90(constB134, 0)) | v124(constB135) | v120(constB135) | (~v100(constB132))), inference(lemma,lemma(discharge,[]))).
% 54.49/34.70 tff(23254,plain,
% 54.49/34.70 (v90(constB133, 1)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23253, 22986, 22309, 22904, 22992, 22991, 22990, 22346])).
% 54.49/34.70 tff(23255,plain,
% 54.49/34.70 (~v120(constB133)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[22597, 2846, 23254])).
% 54.49/34.70 tff(23256,plain,
% 54.49/34.70 (v90(constB133, 2)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23093, 23255, 22309, 22986, 22904])).
% 54.49/34.70 tff(23257,plain,
% 54.49/34.70 (v90(constB132, 2)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23115, 23256])).
% 54.49/34.70 tff(23258,plain,
% 54.49/34.70 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB132, 2)) | v129(constB132, 2) | (~v100(constB132)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB132, 2)) | v129(constB132, 2) | (~v100(constB132)))),
% 54.49/34.70 inference(rewrite,[status(thm)],[])).
% 54.49/34.70 tff(23259,plain,
% 54.49/34.70 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB132, 2)) | v129(constB132, 2) | (~v100(constB132)))),
% 54.49/34.70 inference(quant_inst,[status(thm)],[])).
% 54.49/34.70 tff(23260,plain,
% 54.49/34.70 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB132, 2)) | v129(constB132, 2) | (~v100(constB132))),
% 54.49/34.70 inference(modus_ponens,[status(thm)],[23259, 23258])).
% 54.49/34.70 tff(23261,plain,
% 54.49/34.70 ((~v90(constB132, 2)) | v129(constB132, 2)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23260, 1223, 22346])).
% 54.49/34.70 tff(23262,plain,
% 54.49/34.70 (v129(constB132, 2)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23261, 23257])).
% 54.49/34.70 tff(23263,plain,
% 54.49/34.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB131, constB132)) | v127(constB131, 2) | (~v129(constB132, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB131, constB132)) | v127(constB131, 2) | (~v129(constB132, 2)))),
% 54.49/34.70 inference(rewrite,[status(thm)],[])).
% 54.49/34.70 tff(23264,plain,
% 54.49/34.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB131, constB132)) | v127(constB131, 2) | (~v129(constB132, 2)))),
% 54.49/34.70 inference(quant_inst,[status(thm)],[])).
% 54.49/34.70 tff(23265,plain,
% 54.49/34.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB131, constB132)) | v127(constB131, 2) | (~v129(constB132, 2))),
% 54.49/34.70 inference(modus_ponens,[status(thm)],[23264, 23263])).
% 54.49/34.70 tff(23266,plain,
% 54.49/34.70 (v127(constB131, 2) | (~v129(constB132, 2))),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23265, 1208, 22143])).
% 54.49/34.70 tff(23267,plain,
% 54.49/34.70 (v127(constB131, 2)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23266, 23262])).
% 54.49/34.70 tff(23268,plain,
% 54.49/34.70 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB131, 2)) | v26(constB131) | v130(constB131, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB131, 2)) | v26(constB131) | v130(constB131, 2))),
% 54.49/34.70 inference(rewrite,[status(thm)],[])).
% 54.49/34.70 tff(23269,plain,
% 54.49/34.70 ((v26(constB131) | v130(constB131, 2) | (~v127(constB131, 2))) <=> ((~v127(constB131, 2)) | v26(constB131) | v130(constB131, 2))),
% 54.49/34.70 inference(rewrite,[status(thm)],[])).
% 54.49/34.70 tff(23270,plain,
% 54.49/34.70 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB131) | v130(constB131, 2) | (~v127(constB131, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB131, 2)) | v26(constB131) | v130(constB131, 2)))),
% 54.49/34.70 inference(monotonicity,[status(thm)],[23269])).
% 54.49/34.70 tff(23271,plain,
% 54.49/34.70 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB131) | v130(constB131, 2) | (~v127(constB131, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB131, 2)) | v26(constB131) | v130(constB131, 2))),
% 54.49/34.70 inference(transitivity,[status(thm)],[23270, 23268])).
% 54.49/34.70 tff(23272,plain,
% 54.49/34.70 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB131) | v130(constB131, 2) | (~v127(constB131, 2)))),
% 54.49/34.70 inference(quant_inst,[status(thm)],[])).
% 54.49/34.70 tff(23273,plain,
% 54.49/34.70 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB131, 2)) | v26(constB131) | v130(constB131, 2)),
% 54.49/34.70 inference(modus_ponens,[status(thm)],[23272, 23271])).
% 54.49/34.70 tff(23274,plain,
% 54.49/34.70 ((~v127(constB131, 2)) | v130(constB131, 2)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23273, 1190, 22128])).
% 54.49/34.70 tff(23275,plain,
% 54.49/34.70 (v130(constB131, 2)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23274, 23267])).
% 54.49/34.70 tff(23276,plain,
% 54.49/34.70 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB131)) | (~v130(constB131, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB131)) | (~v130(constB131, 2)))),
% 54.49/34.70 inference(rewrite,[status(thm)],[])).
% 54.49/34.70 tff(23277,plain,
% 54.49/34.70 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB131)) | (~v130(constB131, 2)))),
% 54.49/34.70 inference(quant_inst,[status(thm)],[])).
% 54.49/34.70 tff(23278,plain,
% 54.49/34.70 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB131)) | (~v130(constB131, 2))),
% 54.49/34.70 inference(modus_ponens,[status(thm)],[23277, 23276])).
% 54.49/34.70 tff(23279,plain,
% 54.49/34.70 (~v121(constB131)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23278, 1821, 23275])).
% 54.49/34.70 tff(23280,plain,
% 54.49/34.70 (v90(constB132, 1)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23023, 23254])).
% 54.49/34.70 tff(23281,plain,
% 54.49/34.70 ((~v90(constB132, 1)) | v129(constB132, 1)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23130, 1309, 22346])).
% 54.49/34.70 tff(23282,plain,
% 54.49/34.70 (v129(constB132, 1)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23281, 23280])).
% 54.49/34.70 tff(23283,plain,
% 54.49/34.70 (v127(constB131, 1)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23135, 23282])).
% 54.49/34.70 tff(23284,plain,
% 54.49/34.70 ((~v127(constB131, 1)) | v130(constB131, 1)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23143, 1276, 22128])).
% 54.49/34.70 tff(23285,plain,
% 54.49/34.70 (v130(constB131, 1)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23284, 23283])).
% 54.49/34.70 tff(23286,plain,
% 54.49/34.70 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB131)) | (~v130(constB131, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB131)) | (~v130(constB131, 1)))),
% 54.49/34.70 inference(rewrite,[status(thm)],[])).
% 54.49/34.70 tff(23287,plain,
% 54.49/34.70 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB131)) | (~v130(constB131, 1)))),
% 54.49/34.70 inference(quant_inst,[status(thm)],[])).
% 54.49/34.70 tff(23288,plain,
% 54.49/34.70 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB131)) | (~v130(constB131, 1))),
% 54.49/34.70 inference(modus_ponens,[status(thm)],[23287, 23286])).
% 54.49/34.70 tff(23289,plain,
% 54.49/34.70 (~v119(constB131)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23288, 1262, 23285])).
% 54.49/34.70 tff(23290,plain,
% 54.49/34.70 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB131)) | (~v130(constB131, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB131)) | (~v130(constB131, 1)))),
% 54.49/34.70 inference(rewrite,[status(thm)],[])).
% 54.49/34.70 tff(23291,plain,
% 54.49/34.70 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB131)) | (~v130(constB131, 1)))),
% 54.49/34.70 inference(quant_inst,[status(thm)],[])).
% 54.49/34.70 tff(23292,plain,
% 54.49/34.70 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB131)) | (~v130(constB131, 1))),
% 54.49/34.70 inference(modus_ponens,[status(thm)],[23291, 23290])).
% 54.49/34.70 tff(23293,plain,
% 54.49/34.70 (~v123(constB131)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23292, 2581, 23285])).
% 54.49/34.70 tff(23294,plain,
% 54.49/34.70 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB131)) | (~v130(constB131, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB131)) | (~v130(constB131, 1)))),
% 54.49/34.70 inference(rewrite,[status(thm)],[])).
% 54.49/34.70 tff(23295,plain,
% 54.49/34.70 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB131)) | (~v130(constB131, 1)))),
% 54.49/34.70 inference(quant_inst,[status(thm)],[])).
% 54.49/34.70 tff(23296,plain,
% 54.49/34.70 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB131)) | (~v130(constB131, 1))),
% 54.49/34.70 inference(modus_ponens,[status(thm)],[23295, 23294])).
% 54.49/34.70 tff(23297,plain,
% 54.49/34.70 (~v122(constB131)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23296, 2366, 23285])).
% 54.49/34.70 tff(23298,plain,
% 54.49/34.70 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB131)) | (~v130(constB131, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB131)) | (~v130(constB131, 2)))),
% 54.49/34.70 inference(rewrite,[status(thm)],[])).
% 54.49/34.70 tff(23299,plain,
% 54.49/34.70 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB131)) | (~v130(constB131, 2)))),
% 54.49/34.70 inference(quant_inst,[status(thm)],[])).
% 54.49/34.70 tff(23300,plain,
% 54.49/34.70 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB131)) | (~v130(constB131, 2))),
% 54.49/34.70 inference(modus_ponens,[status(thm)],[23299, 23298])).
% 54.49/34.70 tff(23301,plain,
% 54.49/34.70 (~v120(constB131)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23300, 1523, 23275])).
% 54.49/34.70 tff(23302,plain,
% 54.49/34.70 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB131) | v120(constB131) | v121(constB131) | v122(constB131) | v123(constB131) | v124(constB131) | (~v130(constB131, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB131) | v120(constB131) | v121(constB131) | v122(constB131) | v123(constB131) | v124(constB131) | (~v130(constB131, 1)))),
% 54.49/34.70 inference(rewrite,[status(thm)],[])).
% 54.49/34.70 tff(23303,plain,
% 54.49/34.70 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB131) | v120(constB131) | v121(constB131) | v122(constB131) | v123(constB131) | v124(constB131) | (~v130(constB131, 1)))),
% 54.49/34.70 inference(quant_inst,[status(thm)],[])).
% 54.49/34.70 tff(23304,plain,
% 54.49/34.70 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB131) | v120(constB131) | v121(constB131) | v122(constB131) | v123(constB131) | v124(constB131) | (~v130(constB131, 1))),
% 54.49/34.70 inference(modus_ponens,[status(thm)],[23303, 23302])).
% 54.49/34.70 tff(23305,plain,
% 54.49/34.70 (v119(constB131) | v120(constB131) | v121(constB131) | v122(constB131) | v123(constB131) | v124(constB131)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23304, 3309, 23285])).
% 54.49/34.70 tff(23306,plain,
% 54.49/34.70 (v124(constB131)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23305, 23301, 23297, 23293, 23289, 23279])).
% 54.49/34.70 tff(23307,plain,
% 54.49/34.70 (v90(constB132, 0)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[22584, 23301, 22986, 22904, 22309, 22346, 22990, 23297, 23289, 23279])).
% 54.49/34.70 tff(23308,plain,
% 54.49/34.70 ((~v90(constB132, 0)) | v129(constB132, 0)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[22293, 1704, 22346])).
% 54.49/34.70 tff(23309,plain,
% 54.49/34.70 (v129(constB132, 0)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23308, 23307])).
% 54.49/34.70 tff(23310,plain,
% 54.49/34.70 (v127(constB131, 0)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[22286, 23309])).
% 54.49/34.70 tff(23311,plain,
% 54.49/34.70 (v130(constB131, 0)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[22281, 23310])).
% 54.49/34.70 tff(23312,plain,
% 54.49/34.70 ($false),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[22273, 3274, 23311, 23306])).
% 54.49/34.70 tff(23313,plain,(v100(constB136) | (~v100(constB132)) | v119(constB133) | v124(constB135)), inference(lemma,lemma(discharge,[]))).
% 54.49/34.70 tff(23314,plain,
% 54.49/34.70 (v100(constB136)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23313, 22613, 22174, 22227])).
% 54.49/34.70 tff(23315,plain,
% 54.49/34.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB135, constB136)) | v110(constB136) | (~v100(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB135, constB136)) | v110(constB136) | (~v100(constB136)))),
% 54.49/34.70 inference(rewrite,[status(thm)],[])).
% 54.49/34.70 tff(23316,plain,
% 54.49/34.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB135, constB136)) | v110(constB136) | (~v100(constB136)))),
% 54.49/34.70 inference(quant_inst,[status(thm)],[])).
% 54.49/34.70 tff(23317,plain,
% 54.49/34.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB135, constB136)) | v110(constB136) | (~v100(constB136))),
% 54.49/34.70 inference(modus_ponens,[status(thm)],[23316, 23315])).
% 54.49/34.70 tff(23318,plain,
% 54.49/34.70 (v110(constB136) | (~v100(constB136))),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23317, 4764, 22617])).
% 54.49/34.70 tff(23319,plain,
% 54.49/34.70 (v110(constB136)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23318, 23314])).
% 54.49/34.70 tff(23320,plain,
% 54.49/34.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB135, constB136)) | (~v110(constB136)) | v108(constB135))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB135, constB136)) | (~v110(constB136)) | v108(constB135))),
% 54.49/34.70 inference(rewrite,[status(thm)],[])).
% 54.49/34.70 tff(23321,plain,
% 54.49/34.70 (((~nextState(constB135, constB136)) | v108(constB135) | (~v110(constB136))) <=> ((~nextState(constB135, constB136)) | (~v110(constB136)) | v108(constB135))),
% 54.49/34.70 inference(rewrite,[status(thm)],[])).
% 54.49/34.70 tff(23322,plain,
% 54.49/34.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB135, constB136)) | v108(constB135) | (~v110(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB135, constB136)) | (~v110(constB136)) | v108(constB135)))),
% 54.49/34.70 inference(monotonicity,[status(thm)],[23321])).
% 54.49/34.70 tff(23323,plain,
% 54.49/34.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB135, constB136)) | v108(constB135) | (~v110(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB135, constB136)) | (~v110(constB136)) | v108(constB135))),
% 54.49/34.70 inference(transitivity,[status(thm)],[23322, 23320])).
% 54.49/34.70 tff(23324,plain,
% 54.49/34.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB135, constB136)) | v108(constB135) | (~v110(constB136)))),
% 54.49/34.70 inference(quant_inst,[status(thm)],[])).
% 54.49/34.70 tff(23325,plain,
% 54.49/34.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB135, constB136)) | (~v110(constB136)) | v108(constB135)),
% 54.49/34.70 inference(modus_ponens,[status(thm)],[23324, 23323])).
% 54.49/34.70 tff(23326,plain,
% 54.49/34.70 ((~v110(constB136)) | v108(constB135)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23325, 6641, 22617])).
% 54.49/34.70 tff(23327,plain,
% 54.49/34.70 (v108(constB135)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23326, 23319])).
% 54.49/34.70 tff(23328,plain,
% 54.49/34.70 (((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | ((~v108(constB135)) | v26(constB135) | v112(constB135))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB135)) | v26(constB135) | v112(constB135))),
% 54.49/34.70 inference(rewrite,[status(thm)],[])).
% 54.49/34.70 tff(23329,plain,
% 54.49/34.70 ((v26(constB135) | v112(constB135) | (~v108(constB135))) <=> ((~v108(constB135)) | v26(constB135) | v112(constB135))),
% 54.49/34.70 inference(rewrite,[status(thm)],[])).
% 54.49/34.70 tff(23330,plain,
% 54.49/34.70 (((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB135) | v112(constB135) | (~v108(constB135)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | ((~v108(constB135)) | v26(constB135) | v112(constB135)))),
% 54.49/34.70 inference(monotonicity,[status(thm)],[23329])).
% 54.49/34.70 tff(23331,plain,
% 54.49/34.70 (((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB135) | v112(constB135) | (~v108(constB135)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB135)) | v26(constB135) | v112(constB135))),
% 54.49/34.70 inference(transitivity,[status(thm)],[23330, 23328])).
% 54.49/34.70 tff(23332,plain,
% 54.49/34.70 ((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB135) | v112(constB135) | (~v108(constB135)))),
% 54.49/34.70 inference(quant_inst,[status(thm)],[])).
% 54.49/34.70 tff(23333,plain,
% 54.49/34.70 ((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB135)) | v26(constB135) | v112(constB135)),
% 54.49/34.70 inference(modus_ponens,[status(thm)],[23332, 23331])).
% 54.49/34.70 tff(23334,plain,
% 54.49/34.70 ((~v108(constB135)) | v112(constB135)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23333, 6659, 22662])).
% 54.49/34.70 tff(23335,plain,
% 54.49/34.70 (v112(constB135)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23334, 23327])).
% 54.49/34.70 tff(23336,plain,
% 54.49/34.70 (((~![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))) | (v113(constB135) | (~v112(constB135)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))) | v113(constB135) | (~v112(constB135)))),
% 54.49/34.70 inference(rewrite,[status(thm)],[])).
% 54.49/34.70 tff(23337,plain,
% 54.49/34.70 ((~![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))) | (v113(constB135) | (~v112(constB135)))),
% 54.49/34.70 inference(quant_inst,[status(thm)],[])).
% 54.49/34.70 tff(23338,plain,
% 54.49/34.70 ((~![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))) | v113(constB135) | (~v112(constB135))),
% 54.49/34.70 inference(modus_ponens,[status(thm)],[23337, 23336])).
% 54.49/34.70 tff(23339,plain,
% 54.49/34.70 (v113(constB135)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23338, 6677, 23335])).
% 54.49/34.70 tff(23340,assumption,(~v26(constB135)), introduced(assumption)).
% 54.49/34.70 tff(23341,assumption,(v113(constB135)), introduced(assumption)).
% 54.49/34.70 tff(23342,plain,
% 54.49/34.70 (v26(constB135) | v112(constB135)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[22665, 1063, 23341])).
% 54.49/34.70 tff(23343,plain,
% 54.49/34.70 (v112(constB135)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23342, 23340])).
% 54.49/34.70 tff(23344,assumption,(~v130(constB135, 0)), introduced(assumption)).
% 54.49/34.70 tff(23345,plain,
% 54.49/34.70 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB135, 0)) | v26(constB135) | v130(constB135, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB135, 0)) | v26(constB135) | v130(constB135, 0))),
% 54.49/34.70 inference(rewrite,[status(thm)],[])).
% 54.49/34.70 tff(23346,plain,
% 54.49/34.70 ((v26(constB135) | v130(constB135, 0) | (~v127(constB135, 0))) <=> ((~v127(constB135, 0)) | v26(constB135) | v130(constB135, 0))),
% 54.49/34.70 inference(rewrite,[status(thm)],[])).
% 54.49/34.70 tff(23347,plain,
% 54.49/34.70 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB135) | v130(constB135, 0) | (~v127(constB135, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB135, 0)) | v26(constB135) | v130(constB135, 0)))),
% 54.49/34.70 inference(monotonicity,[status(thm)],[23346])).
% 54.49/34.70 tff(23348,plain,
% 54.49/34.70 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB135) | v130(constB135, 0) | (~v127(constB135, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB135, 0)) | v26(constB135) | v130(constB135, 0))),
% 54.49/34.70 inference(transitivity,[status(thm)],[23347, 23345])).
% 54.49/34.70 tff(23349,plain,
% 54.49/34.70 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB135) | v130(constB135, 0) | (~v127(constB135, 0)))),
% 54.49/34.70 inference(quant_inst,[status(thm)],[])).
% 54.49/34.70 tff(23350,plain,
% 54.49/34.70 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB135, 0)) | v26(constB135) | v130(constB135, 0)),
% 54.49/34.70 inference(modus_ponens,[status(thm)],[23349, 23348])).
% 54.49/34.70 tff(23351,plain,
% 54.49/34.70 ((~v127(constB135, 0)) | v26(constB135)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23350, 1671, 23344])).
% 54.49/34.70 tff(23352,plain,
% 54.49/34.70 (~v127(constB135, 0)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23351, 23340])).
% 54.49/34.70 tff(23353,plain,
% 54.49/34.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB135, constB136)) | v127(constB135, 0) | (~v129(constB136, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB135, constB136)) | v127(constB135, 0) | (~v129(constB136, 0)))),
% 54.49/34.70 inference(rewrite,[status(thm)],[])).
% 54.49/34.70 tff(23354,plain,
% 54.49/34.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB135, constB136)) | v127(constB135, 0) | (~v129(constB136, 0)))),
% 54.49/34.70 inference(quant_inst,[status(thm)],[])).
% 54.49/34.70 tff(23355,plain,
% 54.49/34.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB135, constB136)) | v127(constB135, 0) | (~v129(constB136, 0))),
% 54.49/34.70 inference(modus_ponens,[status(thm)],[23354, 23353])).
% 54.49/34.70 tff(23356,plain,
% 54.49/34.70 (v127(constB135, 0) | (~v129(constB136, 0))),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23355, 1689, 22617])).
% 54.49/34.70 tff(23357,plain,
% 54.49/34.70 (~v129(constB136, 0)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23356, 23352])).
% 54.49/34.70 tff(23358,assumption,(v90(constB136, 0)), introduced(assumption)).
% 54.49/34.70 tff(23359,plain,
% 54.49/34.70 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB136, 0)) | v129(constB136, 0) | (~v100(constB136)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB136, 0)) | v129(constB136, 0) | (~v100(constB136)))),
% 54.49/34.70 inference(rewrite,[status(thm)],[])).
% 54.49/34.70 tff(23360,plain,
% 54.49/34.70 (((~v90(constB136, 0)) | (~v100(constB136)) | v129(constB136, 0)) <=> ((~v90(constB136, 0)) | v129(constB136, 0) | (~v100(constB136)))),
% 54.49/34.70 inference(rewrite,[status(thm)],[])).
% 54.49/34.70 tff(23361,plain,
% 54.49/34.70 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB136, 0)) | (~v100(constB136)) | v129(constB136, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB136, 0)) | v129(constB136, 0) | (~v100(constB136))))),
% 54.49/34.70 inference(monotonicity,[status(thm)],[23360])).
% 54.49/34.70 tff(23362,plain,
% 54.49/34.70 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB136, 0)) | (~v100(constB136)) | v129(constB136, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB136, 0)) | v129(constB136, 0) | (~v100(constB136)))),
% 54.49/34.70 inference(transitivity,[status(thm)],[23361, 23359])).
% 54.49/34.70 tff(23363,plain,
% 54.49/34.70 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB136, 0)) | (~v100(constB136)) | v129(constB136, 0))),
% 54.49/34.70 inference(quant_inst,[status(thm)],[])).
% 54.49/34.70 tff(23364,plain,
% 54.49/34.70 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB136, 0)) | v129(constB136, 0) | (~v100(constB136))),
% 54.49/34.70 inference(modus_ponens,[status(thm)],[23363, 23362])).
% 54.49/34.70 tff(23365,plain,
% 54.49/34.70 (v129(constB136, 0) | (~v100(constB136))),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23364, 1704, 23358])).
% 54.49/34.70 tff(23366,plain,
% 54.49/34.70 (~v100(constB136)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23365, 23357])).
% 54.49/34.70 tff(23367,plain,
% 54.49/34.70 (~v110(constB136)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[22642, 23366])).
% 54.49/34.70 tff(23368,plain,
% 54.49/34.70 (~v108(constB135)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[22650, 23367])).
% 54.49/34.70 tff(23369,plain,
% 54.49/34.70 ($false),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[22657, 1075, 23368, 23343])).
% 54.49/34.70 tff(23370,plain,(v26(constB135) | (~v90(constB136, 0)) | (~v113(constB135)) | v130(constB135, 0)), inference(lemma,lemma(discharge,[]))).
% 54.49/34.70 tff(23371,plain,
% 54.49/34.70 ((~v90(constB136, 0)) | (~v113(constB135)) | v130(constB135, 0)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23370, 22662])).
% 54.49/34.70 tff(23372,plain,
% 54.49/34.70 (~v90(constB136, 0)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23371, 23339, 22589])).
% 54.49/34.70 tff(23373,plain,
% 54.49/34.70 ((~v1(constB137)) <=> (~v1(constB137))),
% 54.49/34.70 inference(rewrite,[status(thm)],[])).
% 54.49/34.70 tff(23374,axiom,(~v1(constB137)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_137_1_1')).
% 54.49/34.70 tff(23375,plain,
% 54.49/34.70 (~v1(constB137)),
% 54.49/34.70 inference(modus_ponens,[status(thm)],[23374, 23373])).
% 54.49/34.70 tff(23376,plain,
% 54.49/34.70 (nextState(constB136, constB137) <=> nextState(constB136, constB137)),
% 54.49/34.70 inference(rewrite,[status(thm)],[])).
% 54.49/34.70 tff(23377,axiom,(nextState(constB136, constB137)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_136_1')).
% 54.49/34.70 tff(23378,plain,
% 54.49/34.70 (nextState(constB136, constB137)),
% 54.49/34.70 inference(modus_ponens,[status(thm)],[23377, 23376])).
% 54.49/34.70 tff(23379,plain,
% 54.49/34.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137)))),
% 54.49/34.70 inference(rewrite,[status(thm)],[])).
% 54.49/34.70 tff(23380,plain,
% 54.49/34.70 (((~nextState(constB136, constB137)) | (~v101(constB137)) | v1(constB137)) <=> (v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137)))),
% 54.49/34.70 inference(rewrite,[status(thm)],[])).
% 54.49/34.70 tff(23381,plain,
% 54.49/34.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB136, constB137)) | (~v101(constB137)) | v1(constB137))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137))))),
% 54.49/34.70 inference(monotonicity,[status(thm)],[23380])).
% 54.49/34.70 tff(23382,plain,
% 54.49/34.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB136, constB137)) | (~v101(constB137)) | v1(constB137))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137)))),
% 54.49/34.70 inference(transitivity,[status(thm)],[23381, 23379])).
% 54.49/34.70 tff(23383,plain,
% 54.49/34.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB136, constB137)) | (~v101(constB137)) | v1(constB137))),
% 54.49/34.70 inference(quant_inst,[status(thm)],[])).
% 54.49/34.70 tff(23384,plain,
% 54.49/34.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v101(constB137))),
% 54.49/34.70 inference(modus_ponens,[status(thm)],[23383, 23382])).
% 54.49/34.70 tff(23385,plain,
% 54.49/34.70 (~v101(constB137)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23384, 873, 23378, 23375])).
% 54.49/34.70 tff(23386,plain,
% 54.49/34.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB136, constB137)) | v101(constB137) | (~v100(constB137)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB136, constB137)) | v101(constB137) | (~v100(constB137)))),
% 54.49/34.70 inference(rewrite,[status(thm)],[])).
% 54.49/34.70 tff(23387,plain,
% 54.49/34.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB136, constB137)) | v101(constB137) | (~v100(constB137)))),
% 54.49/34.70 inference(quant_inst,[status(thm)],[])).
% 54.49/34.70 tff(23388,plain,
% 54.49/34.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB136, constB137)) | v101(constB137) | (~v100(constB137))),
% 54.49/34.70 inference(modus_ponens,[status(thm)],[23387, 23386])).
% 54.49/34.70 tff(23389,plain,
% 54.49/34.70 (v101(constB137) | (~v100(constB137))),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23388, 890, 23378])).
% 54.49/34.70 tff(23390,plain,
% 54.49/34.70 (~v100(constB137)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23389, 23385])).
% 54.49/34.70 tff(23391,plain,
% 54.49/34.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB136, 0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB136, 0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 0)))),
% 54.49/34.70 inference(rewrite,[status(thm)],[])).
% 54.49/34.70 tff(23392,plain,
% 54.49/34.70 (((~nextState(constB136, constB137)) | v90(constB136, 0) | v100(constB137) | (~v90(constB137, 0))) <=> (v90(constB136, 0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 0)))),
% 54.49/34.70 inference(rewrite,[status(thm)],[])).
% 54.49/34.70 tff(23393,plain,
% 54.49/34.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB136, constB137)) | v90(constB136, 0) | v100(constB137) | (~v90(constB137, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB136, 0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 0))))),
% 54.49/34.70 inference(monotonicity,[status(thm)],[23392])).
% 54.49/34.70 tff(23394,plain,
% 54.49/34.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB136, constB137)) | v90(constB136, 0) | v100(constB137) | (~v90(constB137, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB136, 0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 0)))),
% 54.49/34.70 inference(transitivity,[status(thm)],[23393, 23391])).
% 54.49/34.70 tff(23395,plain,
% 54.49/34.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB136, constB137)) | v90(constB136, 0) | v100(constB137) | (~v90(constB137, 0)))),
% 54.49/34.70 inference(quant_inst,[status(thm)],[])).
% 54.49/34.70 tff(23396,plain,
% 54.49/34.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB136, 0) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 0))),
% 54.49/34.70 inference(modus_ponens,[status(thm)],[23395, 23394])).
% 54.49/34.70 tff(23397,plain,
% 54.49/34.70 (v90(constB136, 0) | v100(constB137) | (~v90(constB137, 0))),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23396, 947, 23378])).
% 54.49/34.70 tff(23398,plain,
% 54.49/34.70 (v90(constB136, 0) | (~v90(constB137, 0))),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23397, 23390])).
% 54.49/34.70 tff(23399,plain,
% 54.49/34.70 (~v90(constB137, 0)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23398, 23372])).
% 54.49/34.70 tff(23400,assumption,(v120(constB135)), introduced(assumption)).
% 54.49/34.70 tff(23401,plain,
% 54.49/34.70 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB135)) | v130(constB135, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB135)) | v130(constB135, 1))),
% 54.49/34.70 inference(rewrite,[status(thm)],[])).
% 54.49/34.70 tff(23402,plain,
% 54.49/34.70 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB135)) | v130(constB135, 1))),
% 54.49/34.70 inference(quant_inst,[status(thm)],[])).
% 54.49/34.70 tff(23403,plain,
% 54.49/34.70 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB135)) | v130(constB135, 1)),
% 54.49/34.70 inference(modus_ponens,[status(thm)],[23402, 23401])).
% 54.49/34.70 tff(23404,plain,
% 54.49/34.70 (v130(constB135, 1)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23403, 1579, 23400])).
% 54.49/34.70 tff(23405,plain,
% 54.49/34.70 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB135) | (~v130(constB135, 1)) | v127(constB135, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB135) | (~v130(constB135, 1)) | v127(constB135, 1))),
% 54.49/34.70 inference(rewrite,[status(thm)],[])).
% 54.49/34.70 tff(23406,plain,
% 54.49/34.70 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB135) | (~v130(constB135, 1)) | v127(constB135, 1))),
% 54.49/34.70 inference(quant_inst,[status(thm)],[])).
% 54.49/34.70 tff(23407,plain,
% 54.49/34.70 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB135) | (~v130(constB135, 1)) | v127(constB135, 1)),
% 54.49/34.70 inference(modus_ponens,[status(thm)],[23406, 23405])).
% 54.49/34.70 tff(23408,plain,
% 54.49/34.70 ((~v130(constB135, 1)) | v127(constB135, 1)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23407, 1593, 22662])).
% 54.49/34.70 tff(23409,plain,
% 54.49/34.70 (v127(constB135, 1)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23408, 23404])).
% 54.49/34.70 tff(23410,plain,
% 54.49/34.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB135, constB136)) | (~v127(constB135, 1)) | v129(constB136, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB135, constB136)) | (~v127(constB135, 1)) | v129(constB136, 1))),
% 54.49/34.70 inference(rewrite,[status(thm)],[])).
% 54.49/34.70 tff(23411,plain,
% 54.49/34.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB135, constB136)) | (~v127(constB135, 1)) | v129(constB136, 1))),
% 54.49/34.70 inference(quant_inst,[status(thm)],[])).
% 54.49/34.70 tff(23412,plain,
% 54.49/34.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB135, constB136)) | (~v127(constB135, 1)) | v129(constB136, 1)),
% 54.49/34.70 inference(modus_ponens,[status(thm)],[23411, 23410])).
% 54.49/34.70 tff(23413,plain,
% 54.49/34.70 ((~v127(constB135, 1)) | v129(constB136, 1)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23412, 1608, 22617])).
% 54.49/34.70 tff(23414,plain,
% 54.49/34.70 (v129(constB136, 1)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23413, 23409])).
% 54.49/34.70 tff(23415,assumption,(~v90(constB137, 0)), introduced(assumption)).
% 54.49/34.70 tff(23416,plain,
% 54.49/34.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB136, 0)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB136, 0)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, 0))),
% 54.49/34.70 inference(rewrite,[status(thm)],[])).
% 54.49/34.70 tff(23417,plain,
% 54.49/34.70 (((~nextState(constB136, constB137)) | (~v90(constB136, 0)) | v100(constB137) | v90(constB137, 0)) <=> ((~v90(constB136, 0)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, 0))),
% 54.49/34.70 inference(rewrite,[status(thm)],[])).
% 54.49/34.70 tff(23418,plain,
% 54.49/34.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB136, constB137)) | (~v90(constB136, 0)) | v100(constB137) | v90(constB137, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB136, 0)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, 0)))),
% 54.49/34.70 inference(monotonicity,[status(thm)],[23417])).
% 54.49/34.70 tff(23419,plain,
% 54.49/34.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB136, constB137)) | (~v90(constB136, 0)) | v100(constB137) | v90(constB137, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB136, 0)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, 0))),
% 54.49/34.70 inference(transitivity,[status(thm)],[23418, 23416])).
% 54.49/34.70 tff(23420,plain,
% 54.49/34.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB136, constB137)) | (~v90(constB136, 0)) | v100(constB137) | v90(constB137, 0))),
% 54.49/34.70 inference(quant_inst,[status(thm)],[])).
% 54.49/34.70 tff(23421,plain,
% 54.49/34.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB136, 0)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, 0)),
% 54.49/34.70 inference(modus_ponens,[status(thm)],[23420, 23419])).
% 54.49/34.70 tff(23422,plain,
% 54.49/34.70 ((~v90(constB136, 0)) | v100(constB137) | v90(constB137, 0)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23421, 1395, 23378])).
% 54.49/34.70 tff(23423,plain,
% 54.49/34.70 ((~v90(constB136, 0)) | v90(constB137, 0)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23422, 23390])).
% 54.49/34.70 tff(23424,plain,
% 54.49/34.70 (~v90(constB136, 0)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23423, 23415])).
% 54.49/34.70 tff(23425,plain,
% 54.49/34.70 (v100(constB136)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[22782, 23424])).
% 54.49/34.70 tff(23426,plain,
% 54.49/34.70 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB136, 1) | (~v129(constB136, 1)) | (~v100(constB136)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB136, 1) | (~v129(constB136, 1)) | (~v100(constB136)))),
% 54.49/34.70 inference(rewrite,[status(thm)],[])).
% 54.49/34.70 tff(23427,plain,
% 54.49/34.70 ((v90(constB136, 1) | (~v100(constB136)) | (~v129(constB136, 1))) <=> (v90(constB136, 1) | (~v129(constB136, 1)) | (~v100(constB136)))),
% 54.49/34.70 inference(rewrite,[status(thm)],[])).
% 54.49/34.70 tff(23428,plain,
% 54.49/34.70 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB136, 1) | (~v100(constB136)) | (~v129(constB136, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB136, 1) | (~v129(constB136, 1)) | (~v100(constB136))))),
% 54.49/34.70 inference(monotonicity,[status(thm)],[23427])).
% 54.49/34.70 tff(23429,plain,
% 54.49/34.70 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB136, 1) | (~v100(constB136)) | (~v129(constB136, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB136, 1) | (~v129(constB136, 1)) | (~v100(constB136)))),
% 54.49/34.70 inference(transitivity,[status(thm)],[23428, 23426])).
% 54.49/34.70 tff(23430,plain,
% 54.49/34.70 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB136, 1) | (~v100(constB136)) | (~v129(constB136, 1)))),
% 54.49/34.70 inference(quant_inst,[status(thm)],[])).
% 54.49/34.70 tff(23431,plain,
% 54.49/34.70 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB136, 1) | (~v129(constB136, 1)) | (~v100(constB136))),
% 54.49/34.70 inference(modus_ponens,[status(thm)],[23430, 23429])).
% 54.49/34.70 tff(23432,plain,
% 54.49/34.70 (v90(constB136, 1) | (~v129(constB136, 1))),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23431, 1623, 23425])).
% 54.49/34.70 tff(23433,plain,
% 54.49/34.70 (v90(constB136, 1)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23432, 23414])).
% 54.49/34.70 tff(23434,plain,
% 54.49/34.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB136, 1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB136, 1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, 1))),
% 54.49/34.70 inference(rewrite,[status(thm)],[])).
% 54.49/34.70 tff(23435,plain,
% 54.49/34.70 (((~nextState(constB136, constB137)) | (~v90(constB136, 1)) | v100(constB137) | v90(constB137, 1)) <=> ((~v90(constB136, 1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, 1))),
% 54.49/34.70 inference(rewrite,[status(thm)],[])).
% 54.49/34.70 tff(23436,plain,
% 54.49/34.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB136, constB137)) | (~v90(constB136, 1)) | v100(constB137) | v90(constB137, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB136, 1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, 1)))),
% 54.49/34.70 inference(monotonicity,[status(thm)],[23435])).
% 54.49/34.70 tff(23437,plain,
% 54.49/34.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB136, constB137)) | (~v90(constB136, 1)) | v100(constB137) | v90(constB137, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB136, 1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, 1))),
% 54.49/34.70 inference(transitivity,[status(thm)],[23436, 23434])).
% 54.49/34.70 tff(23438,plain,
% 54.49/34.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB136, constB137)) | (~v90(constB136, 1)) | v100(constB137) | v90(constB137, 1))),
% 54.49/34.70 inference(quant_inst,[status(thm)],[])).
% 54.49/34.70 tff(23439,plain,
% 54.49/34.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB136, 1)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, 1)),
% 54.49/34.70 inference(modus_ponens,[status(thm)],[23438, 23437])).
% 54.49/34.70 tff(23440,plain,
% 54.49/34.70 ((~v90(constB136, 1)) | v100(constB137) | v90(constB137, 1)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23439, 1641, 23378])).
% 54.49/34.70 tff(23441,plain,
% 54.49/34.70 ((~v90(constB136, 1)) | v90(constB137, 1)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23440, 23390])).
% 54.49/34.70 tff(23442,plain,
% 54.49/34.70 (v90(constB137, 1)),
% 54.49/34.70 inference(unit_resolution,[status(thm)],[23441, 23433])).
% 54.49/34.70 tff(23443,plain,
% 54.49/34.70 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB135)) | (~v130(constB135, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB135)) | (~v130(constB135, 2)))),
% 54.49/34.70 inference(rewrite,[status(thm)],[])).
% 54.49/34.70 tff(23444,plain,
% 54.49/34.70 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB135)) | (~v130(constB135, 2)))),
% 54.49/34.70 inference(quant_inst,[status(thm)],[])).
% 54.49/34.70 tff(23445,plain,
% 54.49/34.70 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB135)) | (~v130(constB135, 2))),
% 54.49/34.71 inference(modus_ponens,[status(thm)],[23444, 23443])).
% 54.49/34.71 tff(23446,plain,
% 54.49/34.71 (~v130(constB135, 2)),
% 54.49/34.71 inference(unit_resolution,[status(thm)],[23445, 1523, 23400])).
% 54.49/34.71 tff(23447,plain,
% 54.49/34.71 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB135, 2)) | v26(constB135) | v130(constB135, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB135, 2)) | v26(constB135) | v130(constB135, 2))),
% 54.49/34.71 inference(rewrite,[status(thm)],[])).
% 54.49/34.71 tff(23448,plain,
% 54.49/34.71 ((v26(constB135) | v130(constB135, 2) | (~v127(constB135, 2))) <=> ((~v127(constB135, 2)) | v26(constB135) | v130(constB135, 2))),
% 54.49/34.71 inference(rewrite,[status(thm)],[])).
% 54.49/34.71 tff(23449,plain,
% 54.49/34.71 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB135) | v130(constB135, 2) | (~v127(constB135, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB135, 2)) | v26(constB135) | v130(constB135, 2)))),
% 54.49/34.71 inference(monotonicity,[status(thm)],[23448])).
% 54.49/34.71 tff(23450,plain,
% 54.49/34.71 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB135) | v130(constB135, 2) | (~v127(constB135, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB135, 2)) | v26(constB135) | v130(constB135, 2))),
% 54.49/34.71 inference(transitivity,[status(thm)],[23449, 23447])).
% 54.49/34.71 tff(23451,plain,
% 54.49/34.71 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB135) | v130(constB135, 2) | (~v127(constB135, 2)))),
% 54.49/34.71 inference(quant_inst,[status(thm)],[])).
% 54.49/34.71 tff(23452,plain,
% 54.49/34.71 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB135, 2)) | v26(constB135) | v130(constB135, 2)),
% 54.49/34.71 inference(modus_ponens,[status(thm)],[23451, 23450])).
% 54.49/34.71 tff(23453,plain,
% 54.49/34.71 ((~v127(constB135, 2)) | v130(constB135, 2)),
% 54.49/34.71 inference(unit_resolution,[status(thm)],[23452, 1190, 22662])).
% 54.49/34.71 tff(23454,plain,
% 54.49/34.71 (~v127(constB135, 2)),
% 54.49/34.71 inference(unit_resolution,[status(thm)],[23453, 23446])).
% 54.49/34.71 tff(23455,plain,
% 54.49/34.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB135, constB136)) | v127(constB135, 2) | (~v129(constB136, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB135, constB136)) | v127(constB135, 2) | (~v129(constB136, 2)))),
% 54.49/34.71 inference(rewrite,[status(thm)],[])).
% 54.49/34.71 tff(23456,plain,
% 54.49/34.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB135, constB136)) | v127(constB135, 2) | (~v129(constB136, 2)))),
% 54.49/34.71 inference(quant_inst,[status(thm)],[])).
% 54.49/34.71 tff(23457,plain,
% 54.49/34.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB135, constB136)) | v127(constB135, 2) | (~v129(constB136, 2))),
% 54.49/34.71 inference(modus_ponens,[status(thm)],[23456, 23455])).
% 54.49/34.71 tff(23458,plain,
% 54.49/34.71 (v127(constB135, 2) | (~v129(constB136, 2))),
% 54.49/34.71 inference(unit_resolution,[status(thm)],[23457, 1208, 22617])).
% 54.49/34.71 tff(23459,plain,
% 54.49/34.71 (~v129(constB136, 2)),
% 54.49/34.71 inference(unit_resolution,[status(thm)],[23458, 23454])).
% 54.49/34.71 tff(23460,plain,
% 54.49/34.71 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB136, 2)) | v129(constB136, 2) | (~v100(constB136)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB136, 2)) | v129(constB136, 2) | (~v100(constB136)))),
% 54.49/34.71 inference(rewrite,[status(thm)],[])).
% 54.49/34.71 tff(23461,plain,
% 54.49/34.71 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB136, 2)) | v129(constB136, 2) | (~v100(constB136)))),
% 54.49/34.71 inference(quant_inst,[status(thm)],[])).
% 54.54/34.71 tff(23462,plain,
% 54.54/34.71 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB136, 2)) | v129(constB136, 2) | (~v100(constB136))),
% 54.54/34.71 inference(modus_ponens,[status(thm)],[23461, 23460])).
% 54.54/34.71 tff(23463,plain,
% 54.54/34.71 ((~v90(constB136, 2)) | v129(constB136, 2)),
% 54.54/34.71 inference(unit_resolution,[status(thm)],[23462, 1223, 23425])).
% 54.54/34.71 tff(23464,plain,
% 54.54/34.71 (~v90(constB136, 2)),
% 54.54/34.71 inference(unit_resolution,[status(thm)],[23463, 23459])).
% 54.54/34.71 tff(23465,plain,
% 54.54/34.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB136, 2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB136, 2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 2)))),
% 54.54/34.71 inference(rewrite,[status(thm)],[])).
% 54.54/34.71 tff(23466,plain,
% 54.54/34.71 (((~nextState(constB136, constB137)) | v90(constB136, 2) | v100(constB137) | (~v90(constB137, 2))) <=> (v90(constB136, 2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 2)))),
% 54.54/34.71 inference(rewrite,[status(thm)],[])).
% 54.54/34.71 tff(23467,plain,
% 54.54/34.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB136, constB137)) | v90(constB136, 2) | v100(constB137) | (~v90(constB137, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB136, 2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 2))))),
% 54.54/34.71 inference(monotonicity,[status(thm)],[23466])).
% 54.54/34.71 tff(23468,plain,
% 54.54/34.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB136, constB137)) | v90(constB136, 2) | v100(constB137) | (~v90(constB137, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB136, 2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 2)))),
% 54.54/34.71 inference(transitivity,[status(thm)],[23467, 23465])).
% 54.54/34.71 tff(23469,plain,
% 54.54/34.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB136, constB137)) | v90(constB136, 2) | v100(constB137) | (~v90(constB137, 2)))),
% 54.54/34.71 inference(quant_inst,[status(thm)],[])).
% 54.54/34.71 tff(23470,plain,
% 54.54/34.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB136, 2) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 2))),
% 54.54/34.71 inference(modus_ponens,[status(thm)],[23469, 23468])).
% 54.54/34.71 tff(23471,plain,
% 54.54/34.71 (v90(constB136, 2) | v100(constB137) | (~v90(constB137, 2))),
% 54.54/34.71 inference(unit_resolution,[status(thm)],[23470, 905, 23378])).
% 54.54/34.71 tff(23472,plain,
% 54.54/34.71 (v90(constB136, 2) | (~v90(constB137, 2))),
% 54.54/34.71 inference(unit_resolution,[status(thm)],[23471, 23390])).
% 54.54/34.71 tff(23473,plain,
% 54.54/34.71 (~v90(constB137, 2)),
% 54.54/34.71 inference(unit_resolution,[status(thm)],[23472, 23464])).
% 54.54/34.71 tff(23474,assumption,(~v121(constB137)), introduced(assumption)).
% 54.54/34.71 tff(23475,plain,
% 54.54/34.71 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB137, 0) | (~v90(constB137, 1)) | v90(constB137, 2) | v121(constB137))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB137, 0) | (~v90(constB137, 1)) | v90(constB137, 2) | v121(constB137))),
% 54.54/34.71 inference(rewrite,[status(thm)],[])).
% 54.54/34.71 tff(23476,plain,
% 54.54/34.71 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB137, 0) | (~v90(constB137, 1)) | v90(constB137, 2) | v121(constB137))),
% 54.54/34.71 inference(quant_inst,[status(thm)],[])).
% 54.54/34.71 tff(23477,plain,
% 54.54/34.71 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB137, 0) | (~v90(constB137, 1)) | v90(constB137, 2) | v121(constB137)),
% 54.54/34.71 inference(modus_ponens,[status(thm)],[23476, 23475])).
% 54.54/34.71 tff(23478,plain,
% 54.54/34.71 ((~v90(constB137, 1)) | v90(constB137, 2)),
% 54.54/34.71 inference(unit_resolution,[status(thm)],[23477, 1731, 23415, 23474])).
% 54.54/34.71 tff(23479,plain,
% 54.54/34.71 ($false),
% 54.54/34.71 inference(unit_resolution,[status(thm)],[23478, 23473, 23442])).
% 54.54/34.71 tff(23480,plain,((~v120(constB135)) | v90(constB137, 0) | v121(constB137)), inference(lemma,lemma(discharge,[]))).
% 54.54/34.71 tff(23481,plain,
% 54.54/34.71 (v121(constB137)),
% 54.54/34.71 inference(unit_resolution,[status(thm)],[23480, 23399, 22585])).
% 54.54/34.71 tff(23482,plain,
% 54.54/34.71 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB137)) | v130(constB137, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB137)) | v130(constB137, 1))),
% 54.54/34.71 inference(rewrite,[status(thm)],[])).
% 54.54/34.71 tff(23483,plain,
% 54.54/34.71 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB137)) | v130(constB137, 1))),
% 54.54/34.71 inference(quant_inst,[status(thm)],[])).
% 54.54/34.71 tff(23484,plain,
% 54.54/34.71 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB137)) | v130(constB137, 1)),
% 54.54/34.71 inference(modus_ponens,[status(thm)],[23483, 23482])).
% 54.54/34.71 tff(23485,plain,
% 54.54/34.71 (v130(constB137, 1)),
% 54.54/34.71 inference(unit_resolution,[status(thm)],[23484, 1877, 23481])).
% 54.54/34.71 tff(23486,assumption,(v26(constB137)), introduced(assumption)).
% 54.54/34.71 tff(23487,plain,
% 54.54/34.71 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB137))),
% 54.54/34.71 inference(quant_inst,[status(thm)],[])).
% 54.54/34.71 tff(23488,plain,
% 54.54/34.71 ($false),
% 54.54/34.71 inference(unit_resolution,[status(thm)],[23487, 828, 23486])).
% 54.54/34.71 tff(23489,plain,(~v26(constB137)), inference(lemma,lemma(discharge,[]))).
% 54.54/34.71 tff(23490,plain,
% 54.54/34.71 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB137) | (~v130(constB137, 1)) | v127(constB137, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB137) | (~v130(constB137, 1)) | v127(constB137, 1))),
% 54.54/34.71 inference(rewrite,[status(thm)],[])).
% 54.54/34.71 tff(23491,plain,
% 54.54/34.71 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB137) | (~v130(constB137, 1)) | v127(constB137, 1))),
% 54.54/34.71 inference(quant_inst,[status(thm)],[])).
% 54.54/34.71 tff(23492,plain,
% 54.54/34.71 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB137) | (~v130(constB137, 1)) | v127(constB137, 1)),
% 54.54/34.71 inference(modus_ponens,[status(thm)],[23491, 23490])).
% 54.54/34.71 tff(23493,plain,
% 54.54/34.71 ((~v130(constB137, 1)) | v127(constB137, 1)),
% 54.54/34.71 inference(unit_resolution,[status(thm)],[23492, 1593, 23489])).
% 54.54/34.71 tff(23494,plain,
% 54.54/34.71 (v127(constB137, 1)),
% 54.54/34.71 inference(unit_resolution,[status(thm)],[23493, 23485])).
% 54.54/34.71 tff(23495,plain,
% 54.54/34.71 (nextState(constB137, constB138) <=> nextState(constB137, constB138)),
% 54.54/34.71 inference(rewrite,[status(thm)],[])).
% 54.54/34.71 tff(23496,axiom,(nextState(constB137, constB138)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_137_1')).
% 54.54/34.71 tff(23497,plain,
% 54.54/34.71 (nextState(constB137, constB138)),
% 54.54/34.71 inference(modus_ponens,[status(thm)],[23496, 23495])).
% 54.54/34.71 tff(23498,plain,
% 54.54/34.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB137, constB138)) | (~v127(constB137, 1)) | v129(constB138, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB137, constB138)) | (~v127(constB137, 1)) | v129(constB138, 1))),
% 54.54/34.71 inference(rewrite,[status(thm)],[])).
% 54.54/34.71 tff(23499,plain,
% 54.54/34.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB137, constB138)) | (~v127(constB137, 1)) | v129(constB138, 1))),
% 54.54/34.71 inference(quant_inst,[status(thm)],[])).
% 54.54/34.71 tff(23500,plain,
% 54.54/34.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB137, constB138)) | (~v127(constB137, 1)) | v129(constB138, 1)),
% 54.54/34.71 inference(modus_ponens,[status(thm)],[23499, 23498])).
% 54.54/34.71 tff(23501,plain,
% 54.54/34.71 ((~v127(constB137, 1)) | v129(constB138, 1)),
% 54.54/34.71 inference(unit_resolution,[status(thm)],[23500, 1608, 23497])).
% 54.54/34.71 tff(23502,plain,
% 54.54/34.71 (v129(constB138, 1)),
% 54.54/34.71 inference(unit_resolution,[status(thm)],[23501, 23494])).
% 54.54/34.71 tff(23503,assumption,(~v100(constB138)), introduced(assumption)).
% 54.54/34.71 tff(23504,plain,
% 54.54/34.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB137, 0) | (~nextState(constB137, constB138)) | v100(constB138) | (~v90(constB138, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB137, 0) | (~nextState(constB137, constB138)) | v100(constB138) | (~v90(constB138, 0)))),
% 54.54/34.71 inference(rewrite,[status(thm)],[])).
% 54.54/34.71 tff(23505,plain,
% 54.54/34.71 (((~nextState(constB137, constB138)) | v90(constB137, 0) | v100(constB138) | (~v90(constB138, 0))) <=> (v90(constB137, 0) | (~nextState(constB137, constB138)) | v100(constB138) | (~v90(constB138, 0)))),
% 54.54/34.71 inference(rewrite,[status(thm)],[])).
% 54.54/34.71 tff(23506,plain,
% 54.54/34.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB137, constB138)) | v90(constB137, 0) | v100(constB138) | (~v90(constB138, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB137, 0) | (~nextState(constB137, constB138)) | v100(constB138) | (~v90(constB138, 0))))),
% 54.54/34.71 inference(monotonicity,[status(thm)],[23505])).
% 54.54/34.71 tff(23507,plain,
% 54.54/34.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB137, constB138)) | v90(constB137, 0) | v100(constB138) | (~v90(constB138, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB137, 0) | (~nextState(constB137, constB138)) | v100(constB138) | (~v90(constB138, 0)))),
% 54.54/34.71 inference(transitivity,[status(thm)],[23506, 23504])).
% 54.54/34.71 tff(23508,plain,
% 54.54/34.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB137, constB138)) | v90(constB137, 0) | v100(constB138) | (~v90(constB138, 0)))),
% 54.54/34.71 inference(quant_inst,[status(thm)],[])).
% 54.54/34.71 tff(23509,plain,
% 54.54/34.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB137, 0) | (~nextState(constB137, constB138)) | v100(constB138) | (~v90(constB138, 0))),
% 54.54/34.71 inference(modus_ponens,[status(thm)],[23508, 23507])).
% 54.54/34.71 tff(23510,plain,
% 54.54/34.71 (v90(constB137, 0) | v100(constB138) | (~v90(constB138, 0))),
% 54.54/34.71 inference(unit_resolution,[status(thm)],[23509, 947, 23497])).
% 54.54/34.71 tff(23511,plain,
% 54.54/34.71 (~v90(constB138, 0)),
% 54.54/34.71 inference(unit_resolution,[status(thm)],[23510, 23503, 23415])).
% 54.54/34.71 tff(23512,plain,
% 54.54/34.71 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB137) | (~nextState(constB137, constB138)) | (~v104(constB138)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB137) | (~nextState(constB137, constB138)) | (~v104(constB138)))),
% 54.54/34.71 inference(rewrite,[status(thm)],[])).
% 54.54/34.71 tff(23513,plain,
% 54.54/34.71 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB137) | (~nextState(constB137, constB138)) | (~v104(constB138)))),
% 54.54/34.71 inference(quant_inst,[status(thm)],[])).
% 54.54/34.71 tff(23514,plain,
% 54.54/34.71 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB137) | (~nextState(constB137, constB138)) | (~v104(constB138))),
% 54.54/34.71 inference(modus_ponens,[status(thm)],[23513, 23512])).
% 54.54/34.71 tff(23515,plain,
% 54.54/34.71 (~v104(constB138)),
% 54.54/34.71 inference(unit_resolution,[status(thm)],[23514, 1113, 23497, 23375])).
% 54.54/34.71 tff(23516,plain,
% 54.54/34.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB137, constB138)) | v102(constB138) | v104(constB138))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB137, constB138)) | v102(constB138) | v104(constB138))),
% 54.54/34.71 inference(rewrite,[status(thm)],[])).
% 54.54/34.71 tff(23517,plain,
% 54.54/34.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB137, constB138)) | v102(constB138) | v104(constB138))),
% 54.54/34.71 inference(quant_inst,[status(thm)],[])).
% 54.54/34.71 tff(23518,plain,
% 54.54/34.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB137, constB138)) | v102(constB138) | v104(constB138)),
% 54.54/34.71 inference(modus_ponens,[status(thm)],[23517, 23516])).
% 54.54/34.71 tff(23519,plain,
% 54.54/34.71 (v102(constB138) | v104(constB138)),
% 54.54/34.71 inference(unit_resolution,[status(thm)],[23518, 1127, 23497])).
% 54.54/34.71 tff(23520,plain,
% 54.54/34.71 (v102(constB138)),
% 54.54/34.71 inference(unit_resolution,[status(thm)],[23519, 23515])).
% 54.54/34.71 tff(23521,plain,
% 54.54/34.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB137, constB138)) | v101(constB138) | (~v102(constB138)) | (~v1(constB138)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB137, constB138)) | v101(constB138) | (~v102(constB138)) | (~v1(constB138)))),
% 54.54/34.71 inference(rewrite,[status(thm)],[])).
% 54.54/34.71 tff(23522,plain,
% 54.54/34.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB137, constB138)) | v101(constB138) | (~v102(constB138)) | (~v1(constB138)))),
% 54.54/34.71 inference(quant_inst,[status(thm)],[])).
% 54.54/34.71 tff(23523,plain,
% 54.54/34.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB137, constB138)) | v101(constB138) | (~v102(constB138)) | (~v1(constB138))),
% 54.54/34.71 inference(modus_ponens,[status(thm)],[23522, 23521])).
% 54.54/34.71 tff(23524,plain,
% 54.54/34.71 (v101(constB138) | (~v102(constB138))),
% 54.54/34.71 inference(unit_resolution,[status(thm)],[23523, 1145, 23497, 167])).
% 54.54/34.71 tff(23525,plain,
% 54.54/34.71 (v101(constB138)),
% 54.54/34.71 inference(unit_resolution,[status(thm)],[23524, 23520])).
% 54.54/34.71 tff(23526,plain,
% 54.54/34.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138)))),
% 54.54/34.71 inference(rewrite,[status(thm)],[])).
% 54.54/34.71 tff(23527,plain,
% 54.54/34.71 (((~nextState(constB137, constB138)) | (~v101(constB138)) | (~v110(constB138)) | v100(constB138)) <=> ((~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138)))),
% 54.54/34.71 inference(rewrite,[status(thm)],[])).
% 54.54/34.71 tff(23528,plain,
% 54.54/34.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB137, constB138)) | (~v101(constB138)) | (~v110(constB138)) | v100(constB138))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138))))),
% 54.54/34.71 inference(monotonicity,[status(thm)],[23527])).
% 54.54/34.71 tff(23529,plain,
% 54.54/34.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB137, constB138)) | (~v101(constB138)) | (~v110(constB138)) | v100(constB138))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138)))),
% 54.54/34.71 inference(transitivity,[status(thm)],[23528, 23526])).
% 54.54/34.71 tff(23530,plain,
% 54.54/34.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB137, constB138)) | (~v101(constB138)) | (~v110(constB138)) | v100(constB138))),
% 54.54/34.71 inference(quant_inst,[status(thm)],[])).
% 54.54/34.71 tff(23531,plain,
% 54.54/34.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB137, constB138)) | v100(constB138) | (~v101(constB138)) | (~v110(constB138))),
% 54.54/34.71 inference(modus_ponens,[status(thm)],[23530, 23529])).
% 54.54/34.71 tff(23532,plain,
% 54.54/34.71 (v100(constB138) | (~v101(constB138)) | (~v110(constB138))),
% 54.54/34.71 inference(unit_resolution,[status(thm)],[23531, 1160, 23497])).
% 54.54/34.71 tff(23533,plain,
% 54.54/34.71 (v100(constB138) | (~v110(constB138))),
% 54.54/34.71 inference(unit_resolution,[status(thm)],[23532, 23525])).
% 54.54/34.71 tff(23534,plain,
% 54.54/34.71 (~v110(constB138)),
% 54.54/34.71 inference(unit_resolution,[status(thm)],[23533, 23503])).
% 54.54/34.71 tff(23535,plain,
% 54.54/34.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137)))),
% 54.54/34.71 inference(rewrite,[status(thm)],[])).
% 54.54/34.71 tff(23536,plain,
% 54.54/34.71 (((~nextState(constB137, constB138)) | (~v108(constB137)) | v110(constB138)) <=> ((~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137)))),
% 54.54/34.71 inference(rewrite,[status(thm)],[])).
% 54.54/34.71 tff(23537,plain,
% 54.54/34.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB137, constB138)) | (~v108(constB137)) | v110(constB138))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137))))),
% 54.54/34.71 inference(monotonicity,[status(thm)],[23536])).
% 54.54/34.71 tff(23538,plain,
% 54.54/34.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB137, constB138)) | (~v108(constB137)) | v110(constB138))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137)))),
% 54.54/34.71 inference(transitivity,[status(thm)],[23537, 23535])).
% 54.54/34.71 tff(23539,plain,
% 54.54/34.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB137, constB138)) | (~v108(constB137)) | v110(constB138))),
% 54.54/34.71 inference(quant_inst,[status(thm)],[])).
% 54.54/34.71 tff(23540,plain,
% 54.54/34.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB137, constB138)) | v110(constB138) | (~v108(constB137))),
% 54.54/34.71 inference(modus_ponens,[status(thm)],[23539, 23538])).
% 54.54/34.71 tff(23541,plain,
% 54.54/34.71 (v110(constB138) | (~v108(constB137))),
% 54.54/34.71 inference(unit_resolution,[status(thm)],[23540, 1095, 23497])).
% 54.54/34.71 tff(23542,plain,
% 54.54/34.71 (~v108(constB137)),
% 54.54/34.71 inference(unit_resolution,[status(thm)],[23541, 23534])).
% 54.54/34.71 tff(23543,plain,
% 54.54/34.71 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB137) | (~v112(constB137)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB137) | (~v112(constB137)))),
% 54.54/34.71 inference(rewrite,[status(thm)],[])).
% 54.54/34.71 tff(23544,plain,
% 54.54/34.71 (((~v112(constB137)) | v108(constB137)) <=> (v108(constB137) | (~v112(constB137)))),
% 54.54/34.71 inference(rewrite,[status(thm)],[])).
% 54.54/34.71 tff(23545,plain,
% 54.54/34.71 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB137)) | v108(constB137))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB137) | (~v112(constB137))))),
% 54.54/34.71 inference(monotonicity,[status(thm)],[23544])).
% 54.54/34.71 tff(23546,plain,
% 54.54/34.71 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB137)) | v108(constB137))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB137) | (~v112(constB137)))),
% 54.54/34.71 inference(transitivity,[status(thm)],[23545, 23543])).
% 54.54/34.71 tff(23547,plain,
% 54.54/34.71 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB137)) | v108(constB137))),
% 54.54/34.71 inference(quant_inst,[status(thm)],[])).
% 54.54/34.71 tff(23548,plain,
% 54.54/34.71 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB137) | (~v112(constB137))),
% 54.54/34.71 inference(modus_ponens,[status(thm)],[23547, 23546])).
% 54.54/34.71 tff(23549,plain,
% 54.54/34.71 (~v112(constB137)),
% 54.54/34.71 inference(unit_resolution,[status(thm)],[23548, 1075, 23542])).
% 54.54/34.71 tff(23550,plain,
% 54.54/34.71 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB137) | v112(constB137) | (~v113(constB137)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB137) | v112(constB137) | (~v113(constB137)))),
% 54.54/34.71 inference(rewrite,[status(thm)],[])).
% 54.54/34.71 tff(23551,plain,
% 54.54/34.71 ((v26(constB137) | (~v113(constB137)) | v112(constB137)) <=> (v26(constB137) | v112(constB137) | (~v113(constB137)))),
% 54.54/34.71 inference(rewrite,[status(thm)],[])).
% 54.54/34.71 tff(23552,plain,
% 54.54/34.71 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB137) | (~v113(constB137)) | v112(constB137))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB137) | v112(constB137) | (~v113(constB137))))),
% 54.54/34.71 inference(monotonicity,[status(thm)],[23551])).
% 54.54/34.71 tff(23553,plain,
% 54.54/34.71 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB137) | (~v113(constB137)) | v112(constB137))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB137) | v112(constB137) | (~v113(constB137)))),
% 54.54/34.71 inference(transitivity,[status(thm)],[23552, 23550])).
% 54.54/34.71 tff(23554,plain,
% 54.54/34.71 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB137) | (~v113(constB137)) | v112(constB137))),
% 54.54/34.71 inference(quant_inst,[status(thm)],[])).
% 54.54/34.71 tff(23555,plain,
% 54.54/34.71 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB137) | v112(constB137) | (~v113(constB137))),
% 54.54/34.71 inference(modus_ponens,[status(thm)],[23554, 23553])).
% 54.54/34.71 tff(23556,plain,
% 54.54/34.71 (v112(constB137) | (~v113(constB137))),
% 54.54/34.71 inference(unit_resolution,[status(thm)],[23555, 1063, 23489])).
% 54.54/34.71 tff(23557,plain,
% 54.54/34.71 (~v113(constB137)),
% 54.54/34.71 inference(unit_resolution,[status(thm)],[23556, 23549])).
% 54.54/34.71 tff(23558,plain,
% 54.54/34.71 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB137) | (~v125(constB137)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB137) | (~v125(constB137)))),
% 54.54/34.71 inference(rewrite,[status(thm)],[])).
% 54.54/34.71 tff(23559,plain,
% 54.54/34.71 (((~v125(constB137)) | v113(constB137)) <=> (v113(constB137) | (~v125(constB137)))),
% 54.54/34.71 inference(rewrite,[status(thm)],[])).
% 54.54/34.71 tff(23560,plain,
% 54.54/34.71 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB137)) | v113(constB137))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB137) | (~v125(constB137))))),
% 54.54/34.71 inference(monotonicity,[status(thm)],[23559])).
% 54.54/34.71 tff(23561,plain,
% 54.54/34.71 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB137)) | v113(constB137))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB137) | (~v125(constB137)))),
% 54.54/34.71 inference(transitivity,[status(thm)],[23560, 23558])).
% 54.54/34.71 tff(23562,plain,
% 54.54/34.71 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB137)) | v113(constB137))),
% 54.54/34.71 inference(quant_inst,[status(thm)],[])).
% 54.54/34.71 tff(23563,plain,
% 54.54/34.71 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB137) | (~v125(constB137))),
% 54.54/34.71 inference(modus_ponens,[status(thm)],[23562, 23561])).
% 54.54/34.71 tff(23564,plain,
% 54.54/34.71 (~v125(constB137)),
% 54.54/34.71 inference(unit_resolution,[status(thm)],[23563, 2262, 23557])).
% 54.54/34.71 tff(23565,assumption,(~v90(constB138, 0)), introduced(assumption)).
% 54.54/34.71 tff(23566,plain,
% 54.54/34.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB137, 0)) | (~nextState(constB137, constB138)) | v100(constB138) | v90(constB138, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB137, 0)) | (~nextState(constB137, constB138)) | v100(constB138) | v90(constB138, 0))),
% 54.54/34.71 inference(rewrite,[status(thm)],[])).
% 54.54/34.71 tff(23567,plain,
% 54.54/34.71 (((~nextState(constB137, constB138)) | (~v90(constB137, 0)) | v100(constB138) | v90(constB138, 0)) <=> ((~v90(constB137, 0)) | (~nextState(constB137, constB138)) | v100(constB138) | v90(constB138, 0))),
% 54.54/34.71 inference(rewrite,[status(thm)],[])).
% 54.54/34.71 tff(23568,plain,
% 54.54/34.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB137, constB138)) | (~v90(constB137, 0)) | v100(constB138) | v90(constB138, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB137, 0)) | (~nextState(constB137, constB138)) | v100(constB138) | v90(constB138, 0)))),
% 54.54/34.71 inference(monotonicity,[status(thm)],[23567])).
% 54.54/34.71 tff(23569,plain,
% 54.54/34.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB137, constB138)) | (~v90(constB137, 0)) | v100(constB138) | v90(constB138, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB137, 0)) | (~nextState(constB137, constB138)) | v100(constB138) | v90(constB138, 0))),
% 54.54/34.71 inference(transitivity,[status(thm)],[23568, 23566])).
% 54.54/34.71 tff(23570,plain,
% 54.54/34.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB137, constB138)) | (~v90(constB137, 0)) | v100(constB138) | v90(constB138, 0))),
% 54.54/34.71 inference(quant_inst,[status(thm)],[])).
% 54.54/34.71 tff(23571,plain,
% 54.54/34.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB137, 0)) | (~nextState(constB137, constB138)) | v100(constB138) | v90(constB138, 0)),
% 54.54/34.71 inference(modus_ponens,[status(thm)],[23570, 23569])).
% 54.54/34.71 tff(23572,plain,
% 54.54/34.71 ((~v90(constB137, 0)) | v100(constB138) | v90(constB138, 0)),
% 54.54/34.71 inference(unit_resolution,[status(thm)],[23571, 1395, 23497])).
% 54.54/34.71 tff(23573,plain,
% 54.54/34.71 (~v90(constB137, 0)),
% 54.54/34.71 inference(unit_resolution,[status(thm)],[23572, 23503, 23565])).
% 54.54/34.71 tff(23574,assumption,(v121(constB137)), introduced(assumption)).
% 54.54/34.71 tff(23575,plain,
% 54.54/34.71 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB137)) | v130(constB137, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB137)) | v130(constB137, 0))),
% 54.54/34.71 inference(rewrite,[status(thm)],[])).
% 54.54/34.71 tff(23576,plain,
% 54.54/34.71 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB137)) | v130(constB137, 0))),
% 54.54/34.71 inference(quant_inst,[status(thm)],[])).
% 54.54/34.71 tff(23577,plain,
% 54.54/34.71 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB137)) | v130(constB137, 0)),
% 54.54/34.71 inference(modus_ponens,[status(thm)],[23576, 23575])).
% 54.54/34.71 tff(23578,plain,
% 54.54/34.71 (v130(constB137, 0)),
% 54.54/34.71 inference(unit_resolution,[status(thm)],[23577, 1915, 23574])).
% 54.54/34.71 tff(23579,assumption,(~v26(constB137)), introduced(assumption)).
% 54.54/34.71 tff(23580,plain,
% 54.54/34.71 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB137) | (~v130(constB137, 0)) | v127(constB137, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB137) | (~v130(constB137, 0)) | v127(constB137, 0))),
% 54.54/34.71 inference(rewrite,[status(thm)],[])).
% 54.54/34.71 tff(23581,plain,
% 54.54/34.71 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB137) | (~v130(constB137, 0)) | v127(constB137, 0))),
% 54.54/34.71 inference(quant_inst,[status(thm)],[])).
% 54.54/34.71 tff(23582,plain,
% 54.54/34.71 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB137) | (~v130(constB137, 0)) | v127(constB137, 0)),
% 54.54/34.71 inference(modus_ponens,[status(thm)],[23581, 23580])).
% 54.54/34.71 tff(23583,plain,
% 54.54/34.71 ((~v130(constB137, 0)) | v127(constB137, 0)),
% 54.54/34.71 inference(unit_resolution,[status(thm)],[23582, 1347, 23579])).
% 54.54/34.71 tff(23584,plain,
% 54.54/34.71 (v127(constB137, 0)),
% 54.54/34.71 inference(unit_resolution,[status(thm)],[23583, 23578])).
% 54.54/34.71 tff(23585,plain,
% 54.54/34.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB137, constB138)) | (~v127(constB137, 0)) | v129(constB138, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB137, constB138)) | (~v127(constB137, 0)) | v129(constB138, 0))),
% 54.54/34.71 inference(rewrite,[status(thm)],[])).
% 54.54/34.71 tff(23586,plain,
% 54.54/34.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB137, constB138)) | (~v127(constB137, 0)) | v129(constB138, 0))),
% 54.54/34.71 inference(quant_inst,[status(thm)],[])).
% 54.54/34.71 tff(23587,plain,
% 54.54/34.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB137, constB138)) | (~v127(constB137, 0)) | v129(constB138, 0)),
% 54.54/34.71 inference(modus_ponens,[status(thm)],[23586, 23585])).
% 54.54/34.71 tff(23588,plain,
% 54.54/34.71 ((~v127(constB137, 0)) | v129(constB138, 0)),
% 54.54/34.71 inference(unit_resolution,[status(thm)],[23587, 1362, 23497])).
% 54.54/34.71 tff(23589,plain,
% 54.54/34.71 (v129(constB138, 0)),
% 54.54/34.71 inference(unit_resolution,[status(thm)],[23588, 23584])).
% 54.54/34.71 tff(23590,plain,
% 54.54/34.71 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB138, 0) | (~v129(constB138, 0)) | (~v100(constB138)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB138, 0) | (~v129(constB138, 0)) | (~v100(constB138)))),
% 54.54/34.71 inference(rewrite,[status(thm)],[])).
% 54.54/34.71 tff(23591,plain,
% 54.54/34.71 ((v90(constB138, 0) | (~v100(constB138)) | (~v129(constB138, 0))) <=> (v90(constB138, 0) | (~v129(constB138, 0)) | (~v100(constB138)))),
% 54.54/34.71 inference(rewrite,[status(thm)],[])).
% 54.54/34.71 tff(23592,plain,
% 54.54/34.71 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB138, 0) | (~v100(constB138)) | (~v129(constB138, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB138, 0) | (~v129(constB138, 0)) | (~v100(constB138))))),
% 54.54/34.71 inference(monotonicity,[status(thm)],[23591])).
% 54.54/34.71 tff(23593,plain,
% 54.54/34.71 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB138, 0) | (~v100(constB138)) | (~v129(constB138, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB138, 0) | (~v129(constB138, 0)) | (~v100(constB138)))),
% 54.54/34.71 inference(transitivity,[status(thm)],[23592, 23590])).
% 54.54/34.71 tff(23594,plain,
% 54.54/34.71 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB138, 0) | (~v100(constB138)) | (~v129(constB138, 0)))),
% 54.54/34.71 inference(quant_inst,[status(thm)],[])).
% 54.54/34.71 tff(23595,plain,
% 54.54/34.71 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB138, 0) | (~v129(constB138, 0)) | (~v100(constB138))),
% 54.54/34.71 inference(modus_ponens,[status(thm)],[23594, 23593])).
% 54.54/34.71 tff(23596,plain,
% 54.54/34.71 ((~v129(constB138, 0)) | (~v100(constB138))),
% 54.54/34.71 inference(unit_resolution,[status(thm)],[23595, 1377, 23565])).
% 54.54/34.71 tff(23597,plain,
% 54.54/34.71 (~v100(constB138)),
% 54.54/34.71 inference(unit_resolution,[status(thm)],[23596, 23589])).
% 54.54/34.71 tff(23598,plain,
% 54.54/34.71 (~v110(constB138)),
% 54.54/34.71 inference(unit_resolution,[status(thm)],[23533, 23597])).
% 54.54/34.71 tff(23599,plain,
% 54.54/34.71 (~v108(constB137)),
% 54.54/34.71 inference(unit_resolution,[status(thm)],[23541, 23598])).
% 54.54/34.71 tff(23600,plain,
% 54.54/34.71 (~v112(constB137)),
% 54.54/34.71 inference(unit_resolution,[status(thm)],[23548, 1075, 23599])).
% 54.54/34.71 tff(23601,plain,
% 54.54/34.71 (v112(constB137) | (~v113(constB137))),
% 54.54/34.71 inference(unit_resolution,[status(thm)],[23555, 1063, 23579])).
% 54.54/34.71 tff(23602,plain,
% 54.54/34.71 (~v113(constB137)),
% 54.54/34.71 inference(unit_resolution,[status(thm)],[23601, 23600])).
% 54.54/34.71 tff(23603,plain,
% 54.54/34.71 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB137) | (~v114(constB137)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB137) | (~v114(constB137)))),
% 54.54/34.71 inference(rewrite,[status(thm)],[])).
% 54.54/34.71 tff(23604,plain,
% 54.54/34.71 (((~v114(constB137)) | v113(constB137)) <=> (v113(constB137) | (~v114(constB137)))),
% 54.54/34.71 inference(rewrite,[status(thm)],[])).
% 54.54/34.71 tff(23605,plain,
% 54.54/34.71 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB137)) | v113(constB137))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB137) | (~v114(constB137))))),
% 54.54/34.71 inference(monotonicity,[status(thm)],[23604])).
% 54.54/34.71 tff(23606,plain,
% 54.54/34.71 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB137)) | v113(constB137))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB137) | (~v114(constB137)))),
% 54.54/34.71 inference(transitivity,[status(thm)],[23605, 23603])).
% 54.54/34.71 tff(23607,plain,
% 54.54/34.71 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB137)) | v113(constB137))),
% 54.54/34.71 inference(quant_inst,[status(thm)],[])).
% 54.54/34.71 tff(23608,plain,
% 54.54/34.71 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB137) | (~v114(constB137))),
% 54.54/34.71 inference(modus_ponens,[status(thm)],[23607, 23606])).
% 54.54/34.71 tff(23609,plain,
% 54.54/34.71 (~v114(constB137)),
% 54.54/34.71 inference(unit_resolution,[status(thm)],[23608, 1049, 23602])).
% 54.54/34.71 tff(23610,plain,
% 54.54/34.71 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB137)) | v117(constB137))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB137)) | v117(constB137))),
% 54.54/34.71 inference(rewrite,[status(thm)],[])).
% 54.54/34.71 tff(23611,plain,
% 54.54/34.71 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB137)) | v117(constB137))),
% 54.54/34.71 inference(quant_inst,[status(thm)],[])).
% 54.54/34.71 tff(23612,plain,
% 54.54/34.71 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB137)) | v117(constB137)),
% 54.54/34.71 inference(modus_ponens,[status(thm)],[23611, 23610])).
% 54.54/34.71 tff(23613,plain,
% 54.54/34.71 (v117(constB137)),
% 54.54/34.71 inference(unit_resolution,[status(thm)],[23612, 1742, 23574])).
% 54.54/34.71 tff(23614,plain,
% 54.54/34.71 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB137) | (~v117(constB137)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB137) | (~v117(constB137)))),
% 54.54/34.71 inference(rewrite,[status(thm)],[])).
% 54.54/34.71 tff(23615,plain,
% 54.54/34.71 (((~v117(constB137)) | v116(constB137)) <=> (v116(constB137) | (~v117(constB137)))),
% 54.54/34.71 inference(rewrite,[status(thm)],[])).
% 54.54/34.71 tff(23616,plain,
% 54.54/34.71 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB137)) | v116(constB137))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB137) | (~v117(constB137))))),
% 54.54/34.71 inference(monotonicity,[status(thm)],[23615])).
% 54.54/34.71 tff(23617,plain,
% 54.54/34.71 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB137)) | v116(constB137))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB137) | (~v117(constB137)))),
% 54.54/34.71 inference(transitivity,[status(thm)],[23616, 23614])).
% 54.54/34.71 tff(23618,plain,
% 54.54/34.71 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB137)) | v116(constB137))),
% 54.54/34.71 inference(quant_inst,[status(thm)],[])).
% 54.54/34.71 tff(23619,plain,
% 54.54/34.71 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB137) | (~v117(constB137))),
% 54.54/34.71 inference(modus_ponens,[status(thm)],[23618, 23617])).
% 54.54/34.71 tff(23620,plain,
% 54.54/34.71 (v116(constB137)),
% 54.54/34.71 inference(unit_resolution,[status(thm)],[23619, 1007, 23613])).
% 54.54/34.71 tff(23621,plain,
% 54.54/34.71 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB137) | (~v116(constB137)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB137) | (~v116(constB137)))),
% 54.54/34.71 inference(rewrite,[status(thm)],[])).
% 54.54/34.71 tff(23622,plain,
% 54.54/34.71 (((~v116(constB137)) | v115(constB137)) <=> (v115(constB137) | (~v116(constB137)))),
% 54.54/34.71 inference(rewrite,[status(thm)],[])).
% 54.54/34.71 tff(23623,plain,
% 54.54/34.71 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB137)) | v115(constB137))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB137) | (~v116(constB137))))),
% 54.54/34.71 inference(monotonicity,[status(thm)],[23622])).
% 54.54/34.71 tff(23624,plain,
% 54.54/34.71 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB137)) | v115(constB137))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB137) | (~v116(constB137)))),
% 54.54/34.71 inference(transitivity,[status(thm)],[23623, 23621])).
% 54.54/34.71 tff(23625,plain,
% 54.54/34.71 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB137)) | v115(constB137))),
% 54.54/34.71 inference(quant_inst,[status(thm)],[])).
% 54.54/34.71 tff(23626,plain,
% 54.54/34.71 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB137) | (~v116(constB137))),
% 54.54/34.71 inference(modus_ponens,[status(thm)],[23625, 23624])).
% 54.54/34.71 tff(23627,plain,
% 54.54/34.71 (v115(constB137)),
% 54.54/34.71 inference(unit_resolution,[status(thm)],[23626, 1021, 23620])).
% 54.54/34.71 tff(23628,plain,
% 54.54/34.71 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB137)) | v114(constB137))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB137)) | v114(constB137))),
% 54.54/34.71 inference(rewrite,[status(thm)],[])).
% 54.54/34.71 tff(23629,plain,
% 54.54/34.71 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB137)) | v114(constB137))),
% 54.54/34.71 inference(quant_inst,[status(thm)],[])).
% 54.54/34.71 tff(23630,plain,
% 54.54/34.71 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB137)) | v114(constB137)),
% 54.54/34.71 inference(modus_ponens,[status(thm)],[23629, 23628])).
% 54.54/34.71 tff(23631,plain,
% 54.54/34.71 ($false),
% 54.54/34.71 inference(unit_resolution,[status(thm)],[23630, 1035, 23627, 23609])).
% 54.54/34.71 tff(23632,plain,((~v121(constB137)) | v26(constB137) | v90(constB138, 0)), inference(lemma,lemma(discharge,[]))).
% 54.54/34.71 tff(23633,plain,
% 54.54/34.71 ((~v121(constB137)) | v90(constB138, 0)),
% 54.54/34.71 inference(unit_resolution,[status(thm)],[23632, 23489])).
% 54.54/34.71 tff(23634,plain,
% 54.54/34.71 (~v121(constB137)),
% 54.54/34.71 inference(unit_resolution,[status(thm)],[23633, 23565])).
% 54.54/34.71 tff(23635,plain,
% 54.54/34.71 (~v114(constB137)),
% 54.54/34.71 inference(unit_resolution,[status(thm)],[23608, 1049, 23557])).
% 54.54/34.71 tff(23636,plain,
% 54.54/34.71 (~v115(constB137)),
% 54.54/34.71 inference(unit_resolution,[status(thm)],[23630, 1035, 23635])).
% 54.54/34.71 tff(23637,plain,
% 54.54/34.71 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB137)) | v115(constB137))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB137)) | v115(constB137))),
% 54.54/34.72 inference(rewrite,[status(thm)],[])).
% 54.54/34.72 tff(23638,plain,
% 54.54/34.72 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB137)) | v115(constB137))),
% 54.54/34.72 inference(quant_inst,[status(thm)],[])).
% 54.54/34.72 tff(23639,plain,
% 54.54/34.72 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB137)) | v115(constB137)),
% 54.54/34.72 inference(modus_ponens,[status(thm)],[23638, 23637])).
% 54.54/34.72 tff(23640,plain,
% 54.54/34.72 (~v123(constB137)),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23639, 2291, 23636])).
% 54.54/34.72 tff(23641,assumption,(~v123(constB137)), introduced(assumption)).
% 54.54/34.72 tff(23642,assumption,(v119(constB137)), introduced(assumption)).
% 54.54/34.72 tff(23643,plain,
% 54.54/34.72 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v119(constB137)) | (~v90(constB137, 0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | (~v119(constB137)) | (~v90(constB137, 0)))),
% 54.54/34.72 inference(rewrite,[status(thm)],[])).
% 54.54/34.72 tff(23644,plain,
% 54.54/34.72 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v119(constB137)) | (~v90(constB137, 0)))),
% 54.54/34.72 inference(quant_inst,[status(thm)],[])).
% 54.54/34.72 tff(23645,plain,
% 54.54/34.72 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | (~v119(constB137)) | (~v90(constB137, 0))),
% 54.54/34.72 inference(modus_ponens,[status(thm)],[23644, 23643])).
% 54.54/34.72 tff(23646,plain,
% 54.54/34.72 (~v90(constB137, 0)),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23645, 5865, 23642])).
% 54.54/34.72 tff(23647,plain,
% 54.54/34.72 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB137)) | (~v90(constB137, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB137)) | (~v90(constB137, 1)))),
% 54.54/34.72 inference(rewrite,[status(thm)],[])).
% 54.54/34.72 tff(23648,plain,
% 54.54/34.72 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB137)) | (~v90(constB137, 1)))),
% 54.54/34.72 inference(quant_inst,[status(thm)],[])).
% 54.54/34.72 tff(23649,plain,
% 54.54/34.72 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB137)) | (~v90(constB137, 1))),
% 54.54/34.72 inference(modus_ponens,[status(thm)],[23648, 23647])).
% 54.54/34.72 tff(23650,plain,
% 54.54/34.72 (~v90(constB137, 1)),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23649, 2868, 23642])).
% 54.54/34.72 tff(23651,assumption,(~v90(constB137, 1)), introduced(assumption)).
% 54.54/34.72 tff(23652,plain,
% 54.54/34.72 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB137, 0) | v90(constB137, 1) | (~v90(constB137, 2)) | v123(constB137))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB137, 0) | v90(constB137, 1) | (~v90(constB137, 2)) | v123(constB137))),
% 54.54/34.72 inference(rewrite,[status(thm)],[])).
% 54.54/34.72 tff(23653,plain,
% 54.54/34.72 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB137, 0) | v90(constB137, 1) | (~v90(constB137, 2)) | v123(constB137))),
% 54.54/34.72 inference(quant_inst,[status(thm)],[])).
% 54.54/34.72 tff(23654,plain,
% 54.54/34.72 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB137, 0) | v90(constB137, 1) | (~v90(constB137, 2)) | v123(constB137)),
% 54.54/34.72 inference(modus_ponens,[status(thm)],[23653, 23652])).
% 54.54/34.72 tff(23655,plain,
% 54.54/34.72 (v90(constB137, 0) | v90(constB137, 1) | (~v90(constB137, 2))),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23654, 2308, 23641])).
% 54.54/34.72 tff(23656,plain,
% 54.54/34.72 (~v90(constB137, 2)),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23655, 23651, 23415])).
% 54.54/34.72 tff(23657,plain,
% 54.54/34.72 (~v90(constB136, 1)),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23441, 23651])).
% 54.54/34.72 tff(23658,assumption,(~v90(constB136, 1)), introduced(assumption)).
% 54.54/34.72 tff(23659,assumption,(~v90(constB136, 2)), introduced(assumption)).
% 54.54/34.72 tff(23660,plain,
% 54.54/34.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB135, 2)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB135, 2)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, 2))),
% 54.54/34.72 inference(rewrite,[status(thm)],[])).
% 54.54/34.72 tff(23661,plain,
% 54.54/34.72 (((~nextState(constB135, constB136)) | (~v90(constB135, 2)) | v100(constB136) | v90(constB136, 2)) <=> ((~v90(constB135, 2)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, 2))),
% 54.54/34.72 inference(rewrite,[status(thm)],[])).
% 54.54/34.72 tff(23662,plain,
% 54.54/34.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB135, constB136)) | (~v90(constB135, 2)) | v100(constB136) | v90(constB136, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB135, 2)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, 2)))),
% 54.54/34.72 inference(monotonicity,[status(thm)],[23661])).
% 54.54/34.72 tff(23663,plain,
% 54.54/34.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB135, constB136)) | (~v90(constB135, 2)) | v100(constB136) | v90(constB136, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB135, 2)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, 2))),
% 54.54/34.72 inference(transitivity,[status(thm)],[23662, 23660])).
% 54.54/34.72 tff(23664,plain,
% 54.54/34.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB135, constB136)) | (~v90(constB135, 2)) | v100(constB136) | v90(constB136, 2))),
% 54.54/34.72 inference(quant_inst,[status(thm)],[])).
% 54.54/34.72 tff(23665,plain,
% 54.54/34.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB135, 2)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, 2)),
% 54.54/34.72 inference(modus_ponens,[status(thm)],[23664, 23663])).
% 54.54/34.72 tff(23666,plain,
% 54.54/34.72 ((~v90(constB135, 2)) | v100(constB136) | v90(constB136, 2)),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23665, 2174, 22617])).
% 54.54/34.72 tff(23667,plain,
% 54.54/34.72 (~v90(constB135, 2)),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23666, 22614, 23659])).
% 54.54/34.72 tff(23668,plain,
% 54.54/34.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB135, 1)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB135, 1)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, 1))),
% 54.54/34.72 inference(rewrite,[status(thm)],[])).
% 54.54/34.72 tff(23669,plain,
% 54.54/34.72 (((~nextState(constB135, constB136)) | (~v90(constB135, 1)) | v100(constB136) | v90(constB136, 1)) <=> ((~v90(constB135, 1)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, 1))),
% 54.54/34.72 inference(rewrite,[status(thm)],[])).
% 54.54/34.72 tff(23670,plain,
% 54.54/34.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB135, constB136)) | (~v90(constB135, 1)) | v100(constB136) | v90(constB136, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB135, 1)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, 1)))),
% 54.54/34.72 inference(monotonicity,[status(thm)],[23669])).
% 54.54/34.72 tff(23671,plain,
% 54.54/34.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB135, constB136)) | (~v90(constB135, 1)) | v100(constB136) | v90(constB136, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB135, 1)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, 1))),
% 54.54/34.72 inference(transitivity,[status(thm)],[23670, 23668])).
% 54.54/34.72 tff(23672,plain,
% 54.54/34.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB135, constB136)) | (~v90(constB135, 1)) | v100(constB136) | v90(constB136, 1))),
% 54.54/34.72 inference(quant_inst,[status(thm)],[])).
% 54.54/34.72 tff(23673,plain,
% 54.54/34.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB135, 1)) | (~nextState(constB135, constB136)) | v100(constB136) | v90(constB136, 1)),
% 54.54/34.72 inference(modus_ponens,[status(thm)],[23672, 23671])).
% 54.54/34.72 tff(23674,plain,
% 54.54/34.72 ((~v90(constB135, 1)) | v100(constB136) | v90(constB136, 1)),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23673, 1641, 22617])).
% 54.54/34.72 tff(23675,plain,
% 54.54/34.72 (~v90(constB135, 1)),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23674, 22614, 23658])).
% 54.54/34.72 tff(23676,plain,
% 54.54/34.72 (v119(constB135)),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[22763, 968, 22737, 23675, 23667])).
% 54.54/34.72 tff(23677,plain,
% 54.54/34.72 (v118(constB135)),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[22747, 982, 23676])).
% 54.54/34.72 tff(23678,plain,
% 54.54/34.72 (v117(constB135)),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[22743, 993, 23677])).
% 54.54/34.72 tff(23679,plain,
% 54.54/34.72 (v116(constB135)),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[22688, 1007, 23678])).
% 54.54/34.72 tff(23680,plain,
% 54.54/34.72 ($false),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[22684, 1021, 22681, 23679])).
% 54.54/34.72 tff(23681,plain,(v100(constB136) | v90(constB136, 1) | v90(constB136, 2) | v90(constB136, 0)), inference(lemma,lemma(discharge,[]))).
% 54.54/34.72 tff(23682,plain,
% 54.54/34.72 (v100(constB136)),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23681, 22694, 23659, 23658])).
% 54.54/34.72 tff(23683,plain,
% 54.54/34.72 ((~v129(constB136, 1)) | (~v100(constB136))),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23431, 1623, 23658])).
% 54.54/34.72 tff(23684,plain,
% 54.54/34.72 (~v129(constB136, 1)),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23683, 23682])).
% 54.54/34.72 tff(23685,plain,
% 54.54/34.72 (~v127(constB135, 1)),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23413, 23684])).
% 54.54/34.72 tff(23686,plain,
% 54.54/34.72 (~v130(constB135, 1)),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23408, 23685])).
% 54.54/34.72 tff(23687,plain,
% 54.54/34.72 (~v120(constB135)),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23403, 1579, 23686])).
% 54.54/34.72 tff(23688,plain,
% 54.54/34.72 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB135)) | v130(constB135, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB135)) | v130(constB135, 1))),
% 54.54/34.72 inference(rewrite,[status(thm)],[])).
% 54.54/34.72 tff(23689,plain,
% 54.54/34.72 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB135)) | v130(constB135, 1))),
% 54.54/34.72 inference(quant_inst,[status(thm)],[])).
% 54.54/34.72 tff(23690,plain,
% 54.54/34.72 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB135)) | v130(constB135, 1)),
% 54.54/34.72 inference(modus_ponens,[status(thm)],[23689, 23688])).
% 54.54/34.72 tff(23691,plain,
% 54.54/34.72 (~v121(constB135)),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23690, 1877, 23686])).
% 54.54/34.72 tff(23692,plain,
% 54.54/34.72 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB136, 2) | (~v129(constB136, 2)) | (~v100(constB136)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB136, 2) | (~v129(constB136, 2)) | (~v100(constB136)))),
% 54.54/34.72 inference(rewrite,[status(thm)],[])).
% 54.54/34.72 tff(23693,plain,
% 54.54/34.72 ((v90(constB136, 2) | (~v100(constB136)) | (~v129(constB136, 2))) <=> (v90(constB136, 2) | (~v129(constB136, 2)) | (~v100(constB136)))),
% 54.54/34.72 inference(rewrite,[status(thm)],[])).
% 54.54/34.72 tff(23694,plain,
% 54.54/34.72 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB136, 2) | (~v100(constB136)) | (~v129(constB136, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB136, 2) | (~v129(constB136, 2)) | (~v100(constB136))))),
% 54.54/34.72 inference(monotonicity,[status(thm)],[23693])).
% 54.54/34.72 tff(23695,plain,
% 54.54/34.72 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB136, 2) | (~v100(constB136)) | (~v129(constB136, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB136, 2) | (~v129(constB136, 2)) | (~v100(constB136)))),
% 54.54/34.72 inference(transitivity,[status(thm)],[23694, 23692])).
% 54.54/34.72 tff(23696,plain,
% 54.54/34.72 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB136, 2) | (~v100(constB136)) | (~v129(constB136, 2)))),
% 54.54/34.72 inference(quant_inst,[status(thm)],[])).
% 54.54/34.72 tff(23697,plain,
% 54.54/34.72 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB136, 2) | (~v129(constB136, 2)) | (~v100(constB136))),
% 54.54/34.72 inference(modus_ponens,[status(thm)],[23696, 23695])).
% 54.54/34.72 tff(23698,plain,
% 54.54/34.72 ((~v129(constB136, 2)) | (~v100(constB136))),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23697, 2324, 23659])).
% 54.54/34.72 tff(23699,plain,
% 54.54/34.72 (~v129(constB136, 2)),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23698, 23682])).
% 54.54/34.72 tff(23700,plain,
% 54.54/34.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB135, constB136)) | (~v127(constB135, 2)) | v129(constB136, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB135, constB136)) | (~v127(constB135, 2)) | v129(constB136, 2))),
% 54.54/34.72 inference(rewrite,[status(thm)],[])).
% 54.54/34.72 tff(23701,plain,
% 54.54/34.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB135, constB136)) | (~v127(constB135, 2)) | v129(constB136, 2))),
% 54.54/34.72 inference(quant_inst,[status(thm)],[])).
% 54.54/34.72 tff(23702,plain,
% 54.54/34.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB135, constB136)) | (~v127(constB135, 2)) | v129(constB136, 2)),
% 54.54/34.72 inference(modus_ponens,[status(thm)],[23701, 23700])).
% 54.54/34.72 tff(23703,plain,
% 54.54/34.72 ((~v127(constB135, 2)) | v129(constB136, 2)),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23702, 1999, 22617])).
% 54.54/34.72 tff(23704,plain,
% 54.54/34.72 (~v127(constB135, 2)),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23703, 23699])).
% 54.54/34.72 tff(23705,plain,
% 54.54/34.72 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB135) | (~v130(constB135, 2)) | v127(constB135, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB135) | (~v130(constB135, 2)) | v127(constB135, 2))),
% 54.54/34.72 inference(rewrite,[status(thm)],[])).
% 54.54/34.72 tff(23706,plain,
% 54.54/34.72 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB135) | (~v130(constB135, 2)) | v127(constB135, 2))),
% 54.54/34.72 inference(quant_inst,[status(thm)],[])).
% 54.54/34.72 tff(23707,plain,
% 54.54/34.72 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB135) | (~v130(constB135, 2)) | v127(constB135, 2)),
% 54.54/34.72 inference(modus_ponens,[status(thm)],[23706, 23705])).
% 54.54/34.72 tff(23708,plain,
% 54.54/34.72 ((~v130(constB135, 2)) | v127(constB135, 2)),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23707, 1981, 22662])).
% 54.54/34.72 tff(23709,plain,
% 54.54/34.72 (~v130(constB135, 2)),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23708, 23704])).
% 54.54/34.72 tff(23710,plain,
% 54.54/34.72 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB135)) | v130(constB135, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB135)) | v130(constB135, 2))),
% 54.54/34.72 inference(rewrite,[status(thm)],[])).
% 54.54/34.72 tff(23711,plain,
% 54.54/34.72 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB135)) | v130(constB135, 2))),
% 54.54/34.72 inference(quant_inst,[status(thm)],[])).
% 54.54/34.72 tff(23712,plain,
% 54.54/34.72 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB135)) | v130(constB135, 2)),
% 54.54/34.72 inference(modus_ponens,[status(thm)],[23711, 23710])).
% 54.54/34.72 tff(23713,plain,
% 54.54/34.72 (~v122(constB135)),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23712, 1967, 23709])).
% 54.54/34.72 tff(23714,plain,
% 54.54/34.72 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB135)) | v130(constB135, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB135)) | v130(constB135, 2))),
% 54.54/34.72 inference(rewrite,[status(thm)],[])).
% 54.54/34.72 tff(23715,plain,
% 54.54/34.72 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB135)) | v130(constB135, 2))),
% 54.54/34.72 inference(quant_inst,[status(thm)],[])).
% 54.54/34.72 tff(23716,plain,
% 54.54/34.72 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB135)) | v130(constB135, 2)),
% 54.54/34.72 inference(modus_ponens,[status(thm)],[23715, 23714])).
% 54.54/34.72 tff(23717,plain,
% 54.54/34.72 (~v123(constB135)),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23716, 2525, 23709])).
% 54.54/34.72 tff(23718,plain,
% 54.54/34.72 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB135)) | v130(constB135, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB135)) | v130(constB135, 2))),
% 54.54/34.72 inference(rewrite,[status(thm)],[])).
% 54.54/34.72 tff(23719,plain,
% 54.54/34.72 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB135)) | v130(constB135, 2))),
% 54.54/34.72 inference(quant_inst,[status(thm)],[])).
% 54.54/34.72 tff(23720,plain,
% 54.54/34.72 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB135)) | v130(constB135, 2)),
% 54.54/34.72 inference(modus_ponens,[status(thm)],[23719, 23718])).
% 54.54/34.72 tff(23721,plain,
% 54.54/34.72 (~v124(constB135)),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23720, 2741, 23709])).
% 54.54/34.72 tff(23722,plain,
% 54.54/34.72 (~v129(constB136, 0)),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[22721, 23682])).
% 54.54/34.72 tff(23723,plain,
% 54.54/34.72 (~v127(constB135, 0)),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[22713, 23722])).
% 54.54/34.72 tff(23724,plain,
% 54.54/34.72 (~v130(constB135, 0)),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[22708, 23723])).
% 54.54/34.72 tff(23725,plain,
% 54.54/34.72 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | v130(constB135, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | v130(constB135, 0))),
% 54.54/34.72 inference(rewrite,[status(thm)],[])).
% 54.54/34.72 tff(23726,plain,
% 54.54/34.72 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | v130(constB135, 0))),
% 54.54/34.72 inference(quant_inst,[status(thm)],[])).
% 54.54/34.72 tff(23727,plain,
% 54.54/34.72 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | v130(constB135, 0)),
% 54.54/34.72 inference(modus_ponens,[status(thm)],[23726, 23725])).
% 54.54/34.72 tff(23728,plain,
% 54.54/34.72 (v119(constB135)),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23727, 3413, 23724, 23721, 23717, 23713, 23691, 23687])).
% 54.54/34.72 tff(23729,plain,
% 54.54/34.72 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB135)) | v130(constB135, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB135)) | v130(constB135, 0))),
% 54.54/34.72 inference(rewrite,[status(thm)],[])).
% 54.54/34.72 tff(23730,plain,
% 54.54/34.72 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB135)) | v130(constB135, 0))),
% 54.54/34.72 inference(quant_inst,[status(thm)],[])).
% 54.54/34.72 tff(23731,plain,
% 54.54/34.72 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB135)) | v130(constB135, 0)),
% 54.54/34.72 inference(modus_ponens,[status(thm)],[23730, 23729])).
% 54.54/34.72 tff(23732,plain,
% 54.54/34.72 ($false),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23731, 1333, 23724, 23728])).
% 54.54/34.72 tff(23733,plain,(v90(constB136, 0) | v90(constB136, 1) | v90(constB136, 2)), inference(lemma,lemma(discharge,[]))).
% 54.54/34.72 tff(23734,plain,
% 54.54/34.72 (v90(constB136, 2)),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23733, 23657, 23424])).
% 54.54/34.72 tff(23735,plain,
% 54.54/34.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB136, 2)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB136, 2)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, 2))),
% 54.54/34.72 inference(rewrite,[status(thm)],[])).
% 54.54/34.72 tff(23736,plain,
% 54.54/34.72 (((~nextState(constB136, constB137)) | (~v90(constB136, 2)) | v100(constB137) | v90(constB137, 2)) <=> ((~v90(constB136, 2)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, 2))),
% 54.54/34.72 inference(rewrite,[status(thm)],[])).
% 54.54/34.72 tff(23737,plain,
% 54.54/34.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB136, constB137)) | (~v90(constB136, 2)) | v100(constB137) | v90(constB137, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB136, 2)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, 2)))),
% 54.54/34.72 inference(monotonicity,[status(thm)],[23736])).
% 54.54/34.72 tff(23738,plain,
% 54.54/34.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB136, constB137)) | (~v90(constB136, 2)) | v100(constB137) | v90(constB137, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB136, 2)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, 2))),
% 54.54/34.72 inference(transitivity,[status(thm)],[23737, 23735])).
% 54.54/34.72 tff(23739,plain,
% 54.54/34.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB136, constB137)) | (~v90(constB136, 2)) | v100(constB137) | v90(constB137, 2))),
% 54.54/34.72 inference(quant_inst,[status(thm)],[])).
% 54.54/34.72 tff(23740,plain,
% 54.54/34.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB136, 2)) | (~nextState(constB136, constB137)) | v100(constB137) | v90(constB137, 2)),
% 54.54/34.72 inference(modus_ponens,[status(thm)],[23739, 23738])).
% 54.54/34.72 tff(23741,plain,
% 54.54/34.72 ((~v90(constB136, 2)) | v100(constB137) | v90(constB137, 2)),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23740, 2174, 23378])).
% 54.54/34.72 tff(23742,plain,
% 54.54/34.72 ((~v90(constB136, 2)) | v90(constB137, 2)),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23741, 23390])).
% 54.54/34.72 tff(23743,plain,
% 54.54/34.72 ($false),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23742, 23734, 23656])).
% 54.54/34.72 tff(23744,plain,(v90(constB137, 1) | v90(constB137, 0) | v123(constB137)), inference(lemma,lemma(discharge,[]))).
% 54.54/34.72 tff(23745,plain,
% 54.54/34.72 ($false),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23744, 23650, 23646, 23641])).
% 54.54/34.72 tff(23746,plain,((~v119(constB137)) | v123(constB137)), inference(lemma,lemma(discharge,[]))).
% 54.54/34.72 tff(23747,plain,
% 54.54/34.72 (~v119(constB137)),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23746, 23640])).
% 54.54/34.72 tff(23748,assumption,(~v119(constB137)), introduced(assumption)).
% 54.54/34.72 tff(23749,assumption,(~v90(constB137, 2)), introduced(assumption)).
% 54.54/34.72 tff(23750,plain,
% 54.54/34.72 (v90(constB137, 0) | (~v90(constB137, 1)) | v90(constB137, 2)),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23477, 1731, 23474])).
% 54.54/34.72 tff(23751,plain,
% 54.54/34.72 (~v90(constB137, 1)),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23750, 23749, 23415])).
% 54.54/34.72 tff(23752,plain,
% 54.54/34.72 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB137, 0) | v90(constB137, 1) | v90(constB137, 2) | v119(constB137))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB137, 0) | v90(constB137, 1) | v90(constB137, 2) | v119(constB137))),
% 54.54/34.72 inference(rewrite,[status(thm)],[])).
% 54.54/34.72 tff(23753,plain,
% 54.54/34.72 ((v90(constB137, 0) | v119(constB137) | v90(constB137, 1) | v90(constB137, 2)) <=> (v90(constB137, 0) | v90(constB137, 1) | v90(constB137, 2) | v119(constB137))),
% 54.54/34.72 inference(rewrite,[status(thm)],[])).
% 54.54/34.72 tff(23754,plain,
% 54.54/34.72 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB137, 0) | v119(constB137) | v90(constB137, 1) | v90(constB137, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB137, 0) | v90(constB137, 1) | v90(constB137, 2) | v119(constB137)))),
% 54.54/34.72 inference(monotonicity,[status(thm)],[23753])).
% 54.54/34.72 tff(23755,plain,
% 54.54/34.72 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB137, 0) | v119(constB137) | v90(constB137, 1) | v90(constB137, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB137, 0) | v90(constB137, 1) | v90(constB137, 2) | v119(constB137))),
% 54.54/34.72 inference(transitivity,[status(thm)],[23754, 23752])).
% 54.54/34.72 tff(23756,plain,
% 54.54/34.72 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB137, 0) | v119(constB137) | v90(constB137, 1) | v90(constB137, 2))),
% 54.54/34.72 inference(quant_inst,[status(thm)],[])).
% 54.54/34.72 tff(23757,plain,
% 54.54/34.72 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB137, 0) | v90(constB137, 1) | v90(constB137, 2) | v119(constB137)),
% 54.54/34.72 inference(modus_ponens,[status(thm)],[23756, 23755])).
% 54.54/34.72 tff(23758,plain,
% 54.54/34.72 (v90(constB137, 0) | v90(constB137, 1) | v90(constB137, 2)),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23757, 968, 23748])).
% 54.54/34.72 tff(23759,plain,
% 54.54/34.72 ($false),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23758, 23751, 23749, 23415])).
% 54.54/34.72 tff(23760,plain,(v90(constB137, 2) | v90(constB137, 0) | v119(constB137) | v121(constB137)), inference(lemma,lemma(discharge,[]))).
% 54.54/34.72 tff(23761,plain,
% 54.54/34.72 (v90(constB137, 2)),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23760, 23415, 23748, 23474])).
% 54.54/34.72 tff(23762,assumption,(~v125(constB137)), introduced(assumption)).
% 54.54/34.72 tff(23763,plain,
% 54.54/34.72 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB137, 0) | (~v90(constB137, 1)) | (~v90(constB137, 2)) | v125(constB137))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB137, 0) | (~v90(constB137, 1)) | (~v90(constB137, 2)) | v125(constB137))),
% 54.54/34.72 inference(rewrite,[status(thm)],[])).
% 54.54/34.72 tff(23764,plain,
% 54.54/34.72 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB137, 0) | (~v90(constB137, 1)) | (~v90(constB137, 2)) | v125(constB137))),
% 54.54/34.72 inference(quant_inst,[status(thm)],[])).
% 54.54/34.72 tff(23765,plain,
% 54.54/34.72 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB137, 0) | (~v90(constB137, 1)) | (~v90(constB137, 2)) | v125(constB137)),
% 54.54/34.72 inference(modus_ponens,[status(thm)],[23764, 23763])).
% 54.54/34.72 tff(23766,plain,
% 54.54/34.72 (v90(constB137, 0) | (~v90(constB137, 1)) | (~v90(constB137, 2))),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23765, 2279, 23762])).
% 54.54/34.72 tff(23767,plain,
% 54.54/34.72 (~v90(constB137, 1)),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23766, 23761, 23415])).
% 54.54/34.72 tff(23768,plain,
% 54.54/34.72 ($false),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23655, 23767, 23761, 23415])).
% 54.54/34.72 tff(23769,plain,(v90(constB137, 0) | v123(constB137) | v125(constB137) | v119(constB137) | v121(constB137)), inference(lemma,lemma(discharge,[]))).
% 54.54/34.72 tff(23770,plain,
% 54.54/34.72 ($false),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23769, 23747, 23640, 23634, 23573, 23564])).
% 54.54/34.72 tff(23771,plain,(v100(constB138) | v90(constB138, 0)), inference(lemma,lemma(discharge,[]))).
% 54.54/34.72 tff(23772,plain,
% 54.54/34.72 ($false),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23771, 23511, 23503])).
% 54.54/34.72 tff(23773,plain,(v100(constB138) | v90(constB137, 0)), inference(lemma,lemma(discharge,[]))).
% 54.54/34.72 tff(23774,plain,
% 54.54/34.72 (v100(constB138)),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23773, 23399])).
% 54.54/34.72 tff(23775,plain,
% 54.54/34.72 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB138, 1) | (~v129(constB138, 1)) | (~v100(constB138)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB138, 1) | (~v129(constB138, 1)) | (~v100(constB138)))),
% 54.54/34.72 inference(rewrite,[status(thm)],[])).
% 54.54/34.72 tff(23776,plain,
% 54.54/34.72 ((v90(constB138, 1) | (~v100(constB138)) | (~v129(constB138, 1))) <=> (v90(constB138, 1) | (~v129(constB138, 1)) | (~v100(constB138)))),
% 54.54/34.72 inference(rewrite,[status(thm)],[])).
% 54.54/34.72 tff(23777,plain,
% 54.54/34.72 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB138, 1) | (~v100(constB138)) | (~v129(constB138, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB138, 1) | (~v129(constB138, 1)) | (~v100(constB138))))),
% 54.54/34.72 inference(monotonicity,[status(thm)],[23776])).
% 54.54/34.72 tff(23778,plain,
% 54.54/34.72 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB138, 1) | (~v100(constB138)) | (~v129(constB138, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB138, 1) | (~v129(constB138, 1)) | (~v100(constB138)))),
% 54.54/34.72 inference(transitivity,[status(thm)],[23777, 23775])).
% 54.54/34.72 tff(23779,plain,
% 54.54/34.72 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB138, 1) | (~v100(constB138)) | (~v129(constB138, 1)))),
% 54.54/34.72 inference(quant_inst,[status(thm)],[])).
% 54.54/34.72 tff(23780,plain,
% 54.54/34.72 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB138, 1) | (~v129(constB138, 1)) | (~v100(constB138))),
% 54.54/34.72 inference(modus_ponens,[status(thm)],[23779, 23778])).
% 54.54/34.72 tff(23781,plain,
% 54.54/34.72 (v90(constB138, 1) | (~v129(constB138, 1))),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23780, 1623, 23774])).
% 54.54/34.72 tff(23782,plain,
% 54.54/34.72 (v90(constB138, 1)),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23781, 23502])).
% 54.54/34.72 tff(23783,plain,
% 54.54/34.72 ((~v1(constB139)) <=> (~v1(constB139))),
% 54.54/34.72 inference(rewrite,[status(thm)],[])).
% 54.54/34.72 tff(23784,axiom,(~v1(constB139)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_139_1_1')).
% 54.54/34.72 tff(23785,plain,
% 54.54/34.72 (~v1(constB139)),
% 54.54/34.72 inference(modus_ponens,[status(thm)],[23784, 23783])).
% 54.54/34.72 tff(23786,plain,
% 54.54/34.72 (nextState(constB138, constB139) <=> nextState(constB138, constB139)),
% 54.54/34.72 inference(rewrite,[status(thm)],[])).
% 54.54/34.72 tff(23787,axiom,(nextState(constB138, constB139)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_138_1')).
% 54.54/34.72 tff(23788,plain,
% 54.54/34.72 (nextState(constB138, constB139)),
% 54.54/34.72 inference(modus_ponens,[status(thm)],[23787, 23786])).
% 54.54/34.72 tff(23789,plain,
% 54.54/34.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139)))),
% 54.54/34.72 inference(rewrite,[status(thm)],[])).
% 54.54/34.72 tff(23790,plain,
% 54.54/34.72 (((~nextState(constB138, constB139)) | (~v101(constB139)) | v1(constB139)) <=> (v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139)))),
% 54.54/34.72 inference(rewrite,[status(thm)],[])).
% 54.54/34.72 tff(23791,plain,
% 54.54/34.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB138, constB139)) | (~v101(constB139)) | v1(constB139))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139))))),
% 54.54/34.72 inference(monotonicity,[status(thm)],[23790])).
% 54.54/34.72 tff(23792,plain,
% 54.54/34.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB138, constB139)) | (~v101(constB139)) | v1(constB139))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139)))),
% 54.54/34.72 inference(transitivity,[status(thm)],[23791, 23789])).
% 54.54/34.72 tff(23793,plain,
% 54.54/34.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB138, constB139)) | (~v101(constB139)) | v1(constB139))),
% 54.54/34.72 inference(quant_inst,[status(thm)],[])).
% 54.54/34.72 tff(23794,plain,
% 54.54/34.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB139) | (~nextState(constB138, constB139)) | (~v101(constB139))),
% 54.54/34.72 inference(modus_ponens,[status(thm)],[23793, 23792])).
% 54.54/34.72 tff(23795,plain,
% 54.54/34.72 (~v101(constB139)),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23794, 873, 23788, 23785])).
% 54.54/34.72 tff(23796,plain,
% 54.54/34.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB138, constB139)) | v101(constB139) | (~v100(constB139)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB138, constB139)) | v101(constB139) | (~v100(constB139)))),
% 54.54/34.72 inference(rewrite,[status(thm)],[])).
% 54.54/34.72 tff(23797,plain,
% 54.54/34.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB138, constB139)) | v101(constB139) | (~v100(constB139)))),
% 54.54/34.72 inference(quant_inst,[status(thm)],[])).
% 54.54/34.72 tff(23798,plain,
% 54.54/34.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB138, constB139)) | v101(constB139) | (~v100(constB139))),
% 54.54/34.72 inference(modus_ponens,[status(thm)],[23797, 23796])).
% 54.54/34.72 tff(23799,plain,
% 54.54/34.72 (v101(constB139) | (~v100(constB139))),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23798, 890, 23788])).
% 54.54/34.72 tff(23800,plain,
% 54.54/34.72 (~v100(constB139)),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23799, 23795])).
% 54.54/34.72 tff(23801,plain,
% 54.54/34.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB138, 1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB138, 1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, 1))),
% 54.54/34.72 inference(rewrite,[status(thm)],[])).
% 54.54/34.72 tff(23802,plain,
% 54.54/34.72 (((~nextState(constB138, constB139)) | (~v90(constB138, 1)) | v100(constB139) | v90(constB139, 1)) <=> ((~v90(constB138, 1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, 1))),
% 54.54/34.72 inference(rewrite,[status(thm)],[])).
% 54.54/34.72 tff(23803,plain,
% 54.54/34.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB138, constB139)) | (~v90(constB138, 1)) | v100(constB139) | v90(constB139, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB138, 1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, 1)))),
% 54.54/34.72 inference(monotonicity,[status(thm)],[23802])).
% 54.54/34.72 tff(23804,plain,
% 54.54/34.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB138, constB139)) | (~v90(constB138, 1)) | v100(constB139) | v90(constB139, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB138, 1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, 1))),
% 54.54/34.72 inference(transitivity,[status(thm)],[23803, 23801])).
% 54.54/34.72 tff(23805,plain,
% 54.54/34.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB138, constB139)) | (~v90(constB138, 1)) | v100(constB139) | v90(constB139, 1))),
% 54.54/34.72 inference(quant_inst,[status(thm)],[])).
% 54.54/34.72 tff(23806,plain,
% 54.54/34.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB138, 1)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, 1)),
% 54.54/34.72 inference(modus_ponens,[status(thm)],[23805, 23804])).
% 54.54/34.72 tff(23807,plain,
% 54.54/34.72 ((~v90(constB138, 1)) | v100(constB139) | v90(constB139, 1)),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23806, 1641, 23788])).
% 54.54/34.72 tff(23808,plain,
% 54.54/34.72 ((~v90(constB138, 1)) | v90(constB139, 1)),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23807, 23800])).
% 54.54/34.72 tff(23809,plain,
% 54.54/34.72 (v90(constB139, 1)),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23808, 23782])).
% 54.54/34.72 tff(23810,plain,
% 54.54/34.72 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB137)) | (~v130(constB137, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB137)) | (~v130(constB137, 2)))),
% 54.54/34.72 inference(rewrite,[status(thm)],[])).
% 54.54/34.72 tff(23811,plain,
% 54.54/34.72 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB137)) | (~v130(constB137, 2)))),
% 54.54/34.72 inference(quant_inst,[status(thm)],[])).
% 54.54/34.72 tff(23812,plain,
% 54.54/34.72 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB137)) | (~v130(constB137, 2))),
% 54.54/34.72 inference(modus_ponens,[status(thm)],[23811, 23810])).
% 54.54/34.72 tff(23813,plain,
% 54.54/34.72 (~v130(constB137, 2)),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23812, 1821, 23481])).
% 54.54/34.72 tff(23814,plain,
% 54.54/34.72 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB137, 2)) | v26(constB137) | v130(constB137, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB137, 2)) | v26(constB137) | v130(constB137, 2))),
% 54.54/34.72 inference(rewrite,[status(thm)],[])).
% 54.54/34.72 tff(23815,plain,
% 54.54/34.72 ((v26(constB137) | v130(constB137, 2) | (~v127(constB137, 2))) <=> ((~v127(constB137, 2)) | v26(constB137) | v130(constB137, 2))),
% 54.54/34.72 inference(rewrite,[status(thm)],[])).
% 54.54/34.72 tff(23816,plain,
% 54.54/34.72 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB137) | v130(constB137, 2) | (~v127(constB137, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB137, 2)) | v26(constB137) | v130(constB137, 2)))),
% 54.54/34.72 inference(monotonicity,[status(thm)],[23815])).
% 54.54/34.72 tff(23817,plain,
% 54.54/34.72 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB137) | v130(constB137, 2) | (~v127(constB137, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB137, 2)) | v26(constB137) | v130(constB137, 2))),
% 54.54/34.72 inference(transitivity,[status(thm)],[23816, 23814])).
% 54.54/34.72 tff(23818,plain,
% 54.54/34.72 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB137) | v130(constB137, 2) | (~v127(constB137, 2)))),
% 54.54/34.72 inference(quant_inst,[status(thm)],[])).
% 54.54/34.72 tff(23819,plain,
% 54.54/34.72 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB137, 2)) | v26(constB137) | v130(constB137, 2)),
% 54.54/34.72 inference(modus_ponens,[status(thm)],[23818, 23817])).
% 54.54/34.72 tff(23820,plain,
% 54.54/34.72 ((~v127(constB137, 2)) | v130(constB137, 2)),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23819, 1190, 23489])).
% 54.54/34.72 tff(23821,plain,
% 54.54/34.72 (~v127(constB137, 2)),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23820, 23813])).
% 54.54/34.72 tff(23822,plain,
% 54.54/34.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB137, constB138)) | v127(constB137, 2) | (~v129(constB138, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB137, constB138)) | v127(constB137, 2) | (~v129(constB138, 2)))),
% 54.54/34.72 inference(rewrite,[status(thm)],[])).
% 54.54/34.72 tff(23823,plain,
% 54.54/34.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB137, constB138)) | v127(constB137, 2) | (~v129(constB138, 2)))),
% 54.54/34.72 inference(quant_inst,[status(thm)],[])).
% 54.54/34.72 tff(23824,plain,
% 54.54/34.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB137, constB138)) | v127(constB137, 2) | (~v129(constB138, 2))),
% 54.54/34.72 inference(modus_ponens,[status(thm)],[23823, 23822])).
% 54.54/34.72 tff(23825,plain,
% 54.54/34.72 (v127(constB137, 2) | (~v129(constB138, 2))),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23824, 1208, 23497])).
% 54.54/34.72 tff(23826,plain,
% 54.54/34.72 (~v129(constB138, 2)),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23825, 23821])).
% 54.54/34.72 tff(23827,plain,
% 54.54/34.72 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB138, 2)) | v129(constB138, 2) | (~v100(constB138)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB138, 2)) | v129(constB138, 2) | (~v100(constB138)))),
% 54.54/34.72 inference(rewrite,[status(thm)],[])).
% 54.54/34.72 tff(23828,plain,
% 54.54/34.72 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB138, 2)) | v129(constB138, 2) | (~v100(constB138)))),
% 54.54/34.72 inference(quant_inst,[status(thm)],[])).
% 54.54/34.72 tff(23829,plain,
% 54.54/34.72 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB138, 2)) | v129(constB138, 2) | (~v100(constB138))),
% 54.54/34.72 inference(modus_ponens,[status(thm)],[23828, 23827])).
% 54.54/34.72 tff(23830,plain,
% 54.54/34.72 ((~v90(constB138, 2)) | v129(constB138, 2)),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23829, 1223, 23774])).
% 54.54/34.72 tff(23831,plain,
% 54.54/34.72 (~v90(constB138, 2)),
% 54.54/34.72 inference(unit_resolution,[status(thm)],[23830, 23826])).
% 54.54/34.72 tff(23832,plain,
% 54.54/34.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB138, 2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB138, 2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, 2)))),
% 54.54/34.72 inference(rewrite,[status(thm)],[])).
% 54.54/34.72 tff(23833,plain,
% 54.54/34.72 (((~nextState(constB138, constB139)) | v90(constB138, 2) | v100(constB139) | (~v90(constB139, 2))) <=> (v90(constB138, 2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, 2)))),
% 54.54/34.72 inference(rewrite,[status(thm)],[])).
% 54.54/34.72 tff(23834,plain,
% 54.54/34.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB138, constB139)) | v90(constB138, 2) | v100(constB139) | (~v90(constB139, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB138, 2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, 2))))),
% 54.54/34.73 inference(monotonicity,[status(thm)],[23833])).
% 54.54/34.73 tff(23835,plain,
% 54.54/34.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB138, constB139)) | v90(constB138, 2) | v100(constB139) | (~v90(constB139, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB138, 2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, 2)))),
% 54.54/34.73 inference(transitivity,[status(thm)],[23834, 23832])).
% 54.54/34.73 tff(23836,plain,
% 54.54/34.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB138, constB139)) | v90(constB138, 2) | v100(constB139) | (~v90(constB139, 2)))),
% 54.54/34.73 inference(quant_inst,[status(thm)],[])).
% 54.54/34.73 tff(23837,plain,
% 54.54/34.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB138, 2) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, 2))),
% 54.54/34.73 inference(modus_ponens,[status(thm)],[23836, 23835])).
% 54.54/34.73 tff(23838,plain,
% 54.54/34.73 (v90(constB138, 2) | v100(constB139) | (~v90(constB139, 2))),
% 54.54/34.73 inference(unit_resolution,[status(thm)],[23837, 905, 23788])).
% 54.54/34.73 tff(23839,plain,
% 54.54/34.73 (v90(constB138, 2) | (~v90(constB139, 2))),
% 54.54/34.73 inference(unit_resolution,[status(thm)],[23838, 23800])).
% 54.54/34.73 tff(23840,plain,
% 54.54/34.73 (~v90(constB139, 2)),
% 54.54/34.73 inference(unit_resolution,[status(thm)],[23839, 23831])).
% 54.54/34.73 tff(23841,plain,
% 54.54/34.73 (v90(constB138, 0)),
% 54.54/34.73 inference(unit_resolution,[status(thm)],[23633, 23481])).
% 54.54/34.73 tff(23842,plain,
% 54.54/34.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB138, 0)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB138, 0)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, 0))),
% 54.54/34.73 inference(rewrite,[status(thm)],[])).
% 54.54/34.73 tff(23843,plain,
% 54.54/34.73 (((~nextState(constB138, constB139)) | (~v90(constB138, 0)) | v100(constB139) | v90(constB139, 0)) <=> ((~v90(constB138, 0)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, 0))),
% 54.54/34.73 inference(rewrite,[status(thm)],[])).
% 54.54/34.73 tff(23844,plain,
% 54.54/34.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB138, constB139)) | (~v90(constB138, 0)) | v100(constB139) | v90(constB139, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB138, 0)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, 0)))),
% 54.54/34.73 inference(monotonicity,[status(thm)],[23843])).
% 54.54/34.73 tff(23845,plain,
% 54.54/34.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB138, constB139)) | (~v90(constB138, 0)) | v100(constB139) | v90(constB139, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB138, 0)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, 0))),
% 54.54/34.73 inference(transitivity,[status(thm)],[23844, 23842])).
% 54.54/34.73 tff(23846,plain,
% 54.54/34.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB138, constB139)) | (~v90(constB138, 0)) | v100(constB139) | v90(constB139, 0))),
% 54.54/34.73 inference(quant_inst,[status(thm)],[])).
% 54.54/34.73 tff(23847,plain,
% 54.54/34.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB138, 0)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, 0)),
% 54.54/34.73 inference(modus_ponens,[status(thm)],[23846, 23845])).
% 54.54/34.73 tff(23848,plain,
% 54.54/34.73 ((~v90(constB138, 0)) | v100(constB139) | v90(constB139, 0)),
% 54.54/34.73 inference(unit_resolution,[status(thm)],[23847, 1395, 23788])).
% 54.54/34.73 tff(23849,plain,
% 54.54/34.73 ((~v90(constB138, 0)) | v90(constB139, 0)),
% 54.54/34.73 inference(unit_resolution,[status(thm)],[23848, 23800])).
% 54.54/34.73 tff(23850,plain,
% 54.54/34.73 (v90(constB139, 0)),
% 54.54/34.73 inference(unit_resolution,[status(thm)],[23849, 23841])).
% 54.54/34.73 tff(23851,plain,
% 54.54/34.73 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB139, 0)) | (~v90(constB139, 1)) | v90(constB139, 2) | v122(constB139))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB139, 0)) | (~v90(constB139, 1)) | v90(constB139, 2) | v122(constB139))),
% 54.54/34.73 inference(rewrite,[status(thm)],[])).
% 54.54/34.73 tff(23852,plain,
% 54.54/34.73 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB139, 0)) | (~v90(constB139, 1)) | v90(constB139, 2) | v122(constB139))),
% 54.54/34.73 inference(quant_inst,[status(thm)],[])).
% 54.54/34.73 tff(23853,plain,
% 54.54/34.73 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB139, 0)) | (~v90(constB139, 1)) | v90(constB139, 2) | v122(constB139)),
% 54.54/34.73 inference(modus_ponens,[status(thm)],[23852, 23851])).
% 54.54/34.73 tff(23854,plain,
% 54.54/34.73 ((~v90(constB139, 1)) | v90(constB139, 2) | v122(constB139)),
% 54.54/34.73 inference(unit_resolution,[status(thm)],[23853, 1956, 23850])).
% 54.54/34.73 tff(23855,plain,
% 54.54/34.73 (v122(constB139)),
% 54.54/34.73 inference(unit_resolution,[status(thm)],[23854, 23840, 23809])).
% 54.54/34.73 tff(23856,plain,
% 54.54/34.73 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB139)) | v130(constB139, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB139)) | v130(constB139, 2))),
% 54.54/34.73 inference(rewrite,[status(thm)],[])).
% 54.54/34.73 tff(23857,plain,
% 54.54/34.73 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB139)) | v130(constB139, 2))),
% 54.54/34.73 inference(quant_inst,[status(thm)],[])).
% 54.54/34.73 tff(23858,plain,
% 54.54/34.73 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB139)) | v130(constB139, 2)),
% 54.54/34.73 inference(modus_ponens,[status(thm)],[23857, 23856])).
% 54.54/34.73 tff(23859,plain,
% 54.54/34.73 (v130(constB139, 2)),
% 54.54/34.73 inference(unit_resolution,[status(thm)],[23858, 1967, 23855])).
% 54.54/34.73 tff(23860,assumption,(v26(constB139)), introduced(assumption)).
% 54.54/34.73 tff(23861,plain,
% 54.54/34.73 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB139))),
% 54.54/34.73 inference(quant_inst,[status(thm)],[])).
% 54.54/34.73 tff(23862,plain,
% 54.54/34.73 ($false),
% 54.54/34.73 inference(unit_resolution,[status(thm)],[23861, 828, 23860])).
% 54.54/34.73 tff(23863,plain,(~v26(constB139)), inference(lemma,lemma(discharge,[]))).
% 54.54/34.73 tff(23864,plain,
% 54.54/34.73 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB139) | (~v130(constB139, 2)) | v127(constB139, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB139) | (~v130(constB139, 2)) | v127(constB139, 2))),
% 54.54/34.73 inference(rewrite,[status(thm)],[])).
% 54.54/34.73 tff(23865,plain,
% 54.54/34.73 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB139) | (~v130(constB139, 2)) | v127(constB139, 2))),
% 54.54/34.73 inference(quant_inst,[status(thm)],[])).
% 54.54/34.73 tff(23866,plain,
% 54.54/34.73 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB139) | (~v130(constB139, 2)) | v127(constB139, 2)),
% 54.54/34.73 inference(modus_ponens,[status(thm)],[23865, 23864])).
% 54.54/34.73 tff(23867,plain,
% 54.54/34.73 ((~v130(constB139, 2)) | v127(constB139, 2)),
% 54.54/34.73 inference(unit_resolution,[status(thm)],[23866, 1981, 23863])).
% 54.54/34.73 tff(23868,plain,
% 54.54/34.73 (v127(constB139, 2)),
% 54.54/34.73 inference(unit_resolution,[status(thm)],[23867, 23859])).
% 54.54/34.73 tff(23869,plain,
% 54.54/34.73 (nextState(constB139, constB140) <=> nextState(constB139, constB140)),
% 54.54/34.73 inference(rewrite,[status(thm)],[])).
% 54.54/34.73 tff(23870,axiom,(nextState(constB139, constB140)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_139_1')).
% 54.54/34.73 tff(23871,plain,
% 54.54/34.73 (nextState(constB139, constB140)),
% 54.54/34.73 inference(modus_ponens,[status(thm)],[23870, 23869])).
% 54.54/34.73 tff(23872,plain,
% 54.54/34.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB139, constB140)) | (~v127(constB139, 2)) | v129(constB140, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB139, constB140)) | (~v127(constB139, 2)) | v129(constB140, 2))),
% 54.54/34.73 inference(rewrite,[status(thm)],[])).
% 54.54/34.73 tff(23873,plain,
% 54.54/34.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB139, constB140)) | (~v127(constB139, 2)) | v129(constB140, 2))),
% 54.54/34.73 inference(quant_inst,[status(thm)],[])).
% 54.54/34.73 tff(23874,plain,
% 54.54/34.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB139, constB140)) | (~v127(constB139, 2)) | v129(constB140, 2)),
% 54.54/34.73 inference(modus_ponens,[status(thm)],[23873, 23872])).
% 54.54/34.73 tff(23875,plain,
% 54.54/34.73 ((~v127(constB139, 2)) | v129(constB140, 2)),
% 54.54/34.73 inference(unit_resolution,[status(thm)],[23874, 1999, 23871])).
% 54.54/34.73 tff(23876,plain,
% 54.54/34.73 (v129(constB140, 2)),
% 54.54/34.73 inference(unit_resolution,[status(thm)],[23875, 23868])).
% 54.54/34.73 tff(23877,plain,
% 54.54/34.73 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB139)) | (~v130(constB139, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB139)) | (~v130(constB139, 0)))),
% 54.54/34.73 inference(rewrite,[status(thm)],[])).
% 54.54/34.73 tff(23878,plain,
% 54.54/34.73 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB139)) | (~v130(constB139, 0)))),
% 54.54/34.73 inference(quant_inst,[status(thm)],[])).
% 54.54/34.73 tff(23879,plain,
% 54.54/34.73 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB139)) | (~v130(constB139, 0))),
% 54.54/34.73 inference(modus_ponens,[status(thm)],[23878, 23877])).
% 54.54/34.73 tff(23880,plain,
% 54.54/34.73 (~v130(constB139, 0)),
% 54.54/34.73 inference(unit_resolution,[status(thm)],[23879, 2407, 23855])).
% 54.54/34.73 tff(23881,plain,
% 54.54/34.73 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB139, 0)) | v26(constB139) | v130(constB139, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB139, 0)) | v26(constB139) | v130(constB139, 0))),
% 54.54/34.73 inference(rewrite,[status(thm)],[])).
% 54.54/34.73 tff(23882,plain,
% 54.54/34.73 ((v26(constB139) | v130(constB139, 0) | (~v127(constB139, 0))) <=> ((~v127(constB139, 0)) | v26(constB139) | v130(constB139, 0))),
% 54.54/34.73 inference(rewrite,[status(thm)],[])).
% 54.54/34.73 tff(23883,plain,
% 54.54/34.73 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB139) | v130(constB139, 0) | (~v127(constB139, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB139, 0)) | v26(constB139) | v130(constB139, 0)))),
% 54.54/34.73 inference(monotonicity,[status(thm)],[23882])).
% 54.54/34.73 tff(23884,plain,
% 54.54/34.73 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB139) | v130(constB139, 0) | (~v127(constB139, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB139, 0)) | v26(constB139) | v130(constB139, 0))),
% 54.54/34.73 inference(transitivity,[status(thm)],[23883, 23881])).
% 54.54/34.73 tff(23885,plain,
% 54.54/34.73 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB139) | v130(constB139, 0) | (~v127(constB139, 0)))),
% 54.54/34.73 inference(quant_inst,[status(thm)],[])).
% 54.54/34.73 tff(23886,plain,
% 54.54/34.73 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB139, 0)) | v26(constB139) | v130(constB139, 0)),
% 54.54/34.73 inference(modus_ponens,[status(thm)],[23885, 23884])).
% 54.54/34.73 tff(23887,plain,
% 54.54/34.73 ((~v127(constB139, 0)) | v130(constB139, 0)),
% 54.54/34.73 inference(unit_resolution,[status(thm)],[23886, 1671, 23863])).
% 54.54/34.73 tff(23888,plain,
% 54.54/34.73 (~v127(constB139, 0)),
% 54.54/34.73 inference(unit_resolution,[status(thm)],[23887, 23880])).
% 54.54/34.73 tff(23889,assumption,(v90(constB140, 0)), introduced(assumption)).
% 54.54/34.73 tff(23890,assumption,(~v127(constB139, 0)), introduced(assumption)).
% 54.54/34.73 tff(23891,plain,
% 54.54/34.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB139, constB140)) | v127(constB139, 0) | (~v129(constB140, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB139, constB140)) | v127(constB139, 0) | (~v129(constB140, 0)))),
% 54.54/34.73 inference(rewrite,[status(thm)],[])).
% 54.54/34.73 tff(23892,plain,
% 54.54/34.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB139, constB140)) | v127(constB139, 0) | (~v129(constB140, 0)))),
% 54.54/34.73 inference(quant_inst,[status(thm)],[])).
% 54.54/34.73 tff(23893,plain,
% 54.54/34.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB139, constB140)) | v127(constB139, 0) | (~v129(constB140, 0))),
% 54.54/34.73 inference(modus_ponens,[status(thm)],[23892, 23891])).
% 54.54/34.73 tff(23894,plain,
% 54.54/34.73 (v127(constB139, 0) | (~v129(constB140, 0))),
% 54.54/34.73 inference(unit_resolution,[status(thm)],[23893, 1689, 23871])).
% 54.54/34.73 tff(23895,plain,
% 54.54/34.73 (~v129(constB140, 0)),
% 54.54/34.73 inference(unit_resolution,[status(thm)],[23894, 23890])).
% 54.54/34.73 tff(23896,plain,
% 54.54/34.73 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB140, 0)) | v129(constB140, 0) | (~v100(constB140)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB140, 0)) | v129(constB140, 0) | (~v100(constB140)))),
% 54.54/34.73 inference(rewrite,[status(thm)],[])).
% 54.54/34.73 tff(23897,plain,
% 54.54/34.73 (((~v90(constB140, 0)) | (~v100(constB140)) | v129(constB140, 0)) <=> ((~v90(constB140, 0)) | v129(constB140, 0) | (~v100(constB140)))),
% 54.54/34.73 inference(rewrite,[status(thm)],[])).
% 54.54/34.73 tff(23898,plain,
% 54.54/34.73 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB140, 0)) | (~v100(constB140)) | v129(constB140, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB140, 0)) | v129(constB140, 0) | (~v100(constB140))))),
% 54.54/34.73 inference(monotonicity,[status(thm)],[23897])).
% 54.54/34.73 tff(23899,plain,
% 54.54/34.73 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB140, 0)) | (~v100(constB140)) | v129(constB140, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB140, 0)) | v129(constB140, 0) | (~v100(constB140)))),
% 54.54/34.73 inference(transitivity,[status(thm)],[23898, 23896])).
% 54.54/34.73 tff(23900,plain,
% 54.54/34.73 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB140, 0)) | (~v100(constB140)) | v129(constB140, 0))),
% 54.54/34.73 inference(quant_inst,[status(thm)],[])).
% 54.54/34.73 tff(23901,plain,
% 54.54/34.73 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB140, 0)) | v129(constB140, 0) | (~v100(constB140))),
% 54.54/34.73 inference(modus_ponens,[status(thm)],[23900, 23899])).
% 54.54/34.73 tff(23902,plain,
% 54.54/34.73 ((~v90(constB140, 0)) | (~v100(constB140))),
% 54.54/34.73 inference(unit_resolution,[status(thm)],[23901, 1704, 23895])).
% 54.54/34.73 tff(23903,plain,
% 54.54/34.73 (~v100(constB140)),
% 54.54/34.73 inference(unit_resolution,[status(thm)],[23902, 23889])).
% 54.54/34.73 tff(23904,plain,
% 54.54/34.73 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB139) | (~nextState(constB139, constB140)) | (~v104(constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB139) | (~nextState(constB139, constB140)) | (~v104(constB140)))),
% 54.54/34.73 inference(rewrite,[status(thm)],[])).
% 54.54/34.73 tff(23905,plain,
% 54.54/34.73 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB139) | (~nextState(constB139, constB140)) | (~v104(constB140)))),
% 54.54/34.73 inference(quant_inst,[status(thm)],[])).
% 54.54/34.73 tff(23906,plain,
% 54.54/34.73 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB139) | (~nextState(constB139, constB140)) | (~v104(constB140))),
% 54.54/34.73 inference(modus_ponens,[status(thm)],[23905, 23904])).
% 54.54/34.73 tff(23907,plain,
% 54.54/34.73 (~v104(constB140)),
% 54.54/34.73 inference(unit_resolution,[status(thm)],[23906, 1113, 23871, 23785])).
% 54.54/34.73 tff(23908,plain,
% 54.54/34.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB139, constB140)) | v102(constB140) | v104(constB140))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB139, constB140)) | v102(constB140) | v104(constB140))),
% 54.54/34.73 inference(rewrite,[status(thm)],[])).
% 54.54/34.73 tff(23909,plain,
% 54.54/34.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB139, constB140)) | v102(constB140) | v104(constB140))),
% 54.54/34.73 inference(quant_inst,[status(thm)],[])).
% 54.54/34.73 tff(23910,plain,
% 54.54/34.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB139, constB140)) | v102(constB140) | v104(constB140)),
% 54.54/34.73 inference(modus_ponens,[status(thm)],[23909, 23908])).
% 54.54/34.73 tff(23911,plain,
% 54.54/34.73 (v102(constB140) | v104(constB140)),
% 54.54/34.73 inference(unit_resolution,[status(thm)],[23910, 1127, 23871])).
% 54.54/34.73 tff(23912,plain,
% 54.54/34.73 (v102(constB140)),
% 54.54/34.73 inference(unit_resolution,[status(thm)],[23911, 23907])).
% 54.54/34.73 tff(23913,plain,
% 54.54/34.73 (v1(constB140) <=> v1(constB140)),
% 54.54/34.73 inference(rewrite,[status(thm)],[])).
% 54.54/34.73 tff(23914,axiom,(v1(constB140)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_140_1')).
% 54.54/34.73 tff(23915,plain,
% 54.54/34.73 (v1(constB140)),
% 54.54/34.73 inference(modus_ponens,[status(thm)],[23914, 23913])).
% 54.54/34.73 tff(23916,plain,
% 54.54/34.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB139, constB140)) | v101(constB140) | (~v102(constB140)) | (~v1(constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB139, constB140)) | v101(constB140) | (~v102(constB140)) | (~v1(constB140)))),
% 54.54/34.73 inference(rewrite,[status(thm)],[])).
% 54.54/34.73 tff(23917,plain,
% 54.54/34.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB139, constB140)) | v101(constB140) | (~v102(constB140)) | (~v1(constB140)))),
% 54.54/34.73 inference(quant_inst,[status(thm)],[])).
% 54.54/34.73 tff(23918,plain,
% 54.54/34.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB139, constB140)) | v101(constB140) | (~v102(constB140)) | (~v1(constB140))),
% 54.54/34.73 inference(modus_ponens,[status(thm)],[23917, 23916])).
% 54.54/34.73 tff(23919,plain,
% 54.54/34.73 (v101(constB140) | (~v102(constB140))),
% 54.54/34.73 inference(unit_resolution,[status(thm)],[23918, 1145, 23871, 23915])).
% 54.54/34.73 tff(23920,plain,
% 54.54/34.73 (v101(constB140)),
% 54.54/34.73 inference(unit_resolution,[status(thm)],[23919, 23912])).
% 54.54/34.73 tff(23921,plain,
% 54.54/34.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140)))),
% 54.54/34.73 inference(rewrite,[status(thm)],[])).
% 54.54/34.73 tff(23922,plain,
% 54.54/34.73 (((~nextState(constB139, constB140)) | (~v101(constB140)) | (~v110(constB140)) | v100(constB140)) <=> ((~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140)))),
% 54.54/34.73 inference(rewrite,[status(thm)],[])).
% 54.54/34.73 tff(23923,plain,
% 54.54/34.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB139, constB140)) | (~v101(constB140)) | (~v110(constB140)) | v100(constB140))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140))))),
% 54.54/34.73 inference(monotonicity,[status(thm)],[23922])).
% 54.54/34.73 tff(23924,plain,
% 54.54/34.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB139, constB140)) | (~v101(constB140)) | (~v110(constB140)) | v100(constB140))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140)))),
% 54.54/34.73 inference(transitivity,[status(thm)],[23923, 23921])).
% 54.54/34.73 tff(23925,plain,
% 54.54/34.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB139, constB140)) | (~v101(constB140)) | (~v110(constB140)) | v100(constB140))),
% 54.54/34.73 inference(quant_inst,[status(thm)],[])).
% 54.54/34.73 tff(23926,plain,
% 54.54/34.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB139, constB140)) | v100(constB140) | (~v101(constB140)) | (~v110(constB140))),
% 54.54/34.73 inference(modus_ponens,[status(thm)],[23925, 23924])).
% 54.54/34.73 tff(23927,plain,
% 54.54/34.73 (v100(constB140) | (~v101(constB140)) | (~v110(constB140))),
% 54.54/34.73 inference(unit_resolution,[status(thm)],[23926, 1160, 23871])).
% 54.54/34.73 tff(23928,plain,
% 54.54/34.73 (v100(constB140) | (~v110(constB140))),
% 54.54/34.73 inference(unit_resolution,[status(thm)],[23927, 23920])).
% 54.54/34.73 tff(23929,plain,
% 54.54/34.73 (~v110(constB140)),
% 54.54/34.73 inference(unit_resolution,[status(thm)],[23928, 23903])).
% 54.54/34.73 tff(23930,plain,
% 54.54/34.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139)))),
% 54.54/34.73 inference(rewrite,[status(thm)],[])).
% 54.54/34.73 tff(23931,plain,
% 54.54/34.73 (((~nextState(constB139, constB140)) | (~v108(constB139)) | v110(constB140)) <=> ((~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139)))),
% 54.54/34.73 inference(rewrite,[status(thm)],[])).
% 54.54/34.73 tff(23932,plain,
% 54.54/34.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB139, constB140)) | (~v108(constB139)) | v110(constB140))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139))))),
% 54.54/34.73 inference(monotonicity,[status(thm)],[23931])).
% 54.54/34.73 tff(23933,plain,
% 54.54/34.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB139, constB140)) | (~v108(constB139)) | v110(constB140))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139)))),
% 54.54/34.73 inference(transitivity,[status(thm)],[23932, 23930])).
% 54.54/34.73 tff(23934,plain,
% 54.54/34.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB139, constB140)) | (~v108(constB139)) | v110(constB140))),
% 54.54/34.73 inference(quant_inst,[status(thm)],[])).
% 54.54/34.73 tff(23935,plain,
% 54.54/34.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB139, constB140)) | v110(constB140) | (~v108(constB139))),
% 54.54/34.73 inference(modus_ponens,[status(thm)],[23934, 23933])).
% 54.54/34.73 tff(23936,plain,
% 54.54/34.73 (v110(constB140) | (~v108(constB139))),
% 54.54/34.73 inference(unit_resolution,[status(thm)],[23935, 1095, 23871])).
% 54.54/34.73 tff(23937,plain,
% 54.54/34.73 (~v108(constB139)),
% 54.54/34.73 inference(unit_resolution,[status(thm)],[23936, 23929])).
% 54.54/34.73 tff(23938,plain,
% 54.54/34.73 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB139) | (~v112(constB139)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB139) | (~v112(constB139)))),
% 54.54/34.73 inference(rewrite,[status(thm)],[])).
% 54.54/34.73 tff(23939,plain,
% 54.54/34.73 (((~v112(constB139)) | v108(constB139)) <=> (v108(constB139) | (~v112(constB139)))),
% 54.54/34.73 inference(rewrite,[status(thm)],[])).
% 54.54/34.73 tff(23940,plain,
% 54.54/34.73 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB139)) | v108(constB139))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB139) | (~v112(constB139))))),
% 54.54/34.73 inference(monotonicity,[status(thm)],[23939])).
% 54.54/34.73 tff(23941,plain,
% 54.54/34.73 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB139)) | v108(constB139))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB139) | (~v112(constB139)))),
% 54.54/34.73 inference(transitivity,[status(thm)],[23940, 23938])).
% 54.54/34.73 tff(23942,plain,
% 54.54/34.73 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB139)) | v108(constB139))),
% 54.54/34.73 inference(quant_inst,[status(thm)],[])).
% 54.54/34.73 tff(23943,plain,
% 54.54/34.73 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB139) | (~v112(constB139))),
% 54.54/34.73 inference(modus_ponens,[status(thm)],[23942, 23941])).
% 54.54/34.73 tff(23944,plain,
% 54.54/34.73 (~v112(constB139)),
% 54.54/34.73 inference(unit_resolution,[status(thm)],[23943, 1075, 23937])).
% 54.54/34.73 tff(23945,plain,
% 54.54/34.73 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB139) | (~v26(constB139)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB139) | (~v26(constB139)))),
% 54.54/34.73 inference(rewrite,[status(thm)],[])).
% 54.54/34.73 tff(23946,plain,
% 54.54/34.73 (((~v26(constB139)) | v108(constB139)) <=> (v108(constB139) | (~v26(constB139)))),
% 54.54/34.73 inference(rewrite,[status(thm)],[])).
% 54.54/34.73 tff(23947,plain,
% 54.54/34.73 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB139)) | v108(constB139))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB139) | (~v26(constB139))))),
% 54.54/34.73 inference(monotonicity,[status(thm)],[23946])).
% 54.54/34.73 tff(23948,plain,
% 54.54/34.73 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB139)) | v108(constB139))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB139) | (~v26(constB139)))),
% 54.54/34.73 inference(transitivity,[status(thm)],[23947, 23945])).
% 54.54/34.73 tff(23949,plain,
% 54.54/34.73 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB139)) | v108(constB139))),
% 54.54/34.73 inference(quant_inst,[status(thm)],[])).
% 54.54/34.73 tff(23950,plain,
% 54.54/34.73 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB139) | (~v26(constB139))),
% 54.54/34.73 inference(modus_ponens,[status(thm)],[23949, 23948])).
% 54.54/34.73 tff(23951,plain,
% 54.54/34.73 (~v26(constB139)),
% 54.54/34.73 inference(unit_resolution,[status(thm)],[23950, 2050, 23937])).
% 54.54/34.73 tff(23952,plain,
% 54.54/34.73 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB139) | v112(constB139) | (~v113(constB139)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB139) | v112(constB139) | (~v113(constB139)))),
% 54.54/34.73 inference(rewrite,[status(thm)],[])).
% 54.54/34.73 tff(23953,plain,
% 54.54/34.73 ((v26(constB139) | (~v113(constB139)) | v112(constB139)) <=> (v26(constB139) | v112(constB139) | (~v113(constB139)))),
% 54.54/34.73 inference(rewrite,[status(thm)],[])).
% 54.54/34.73 tff(23954,plain,
% 54.54/34.73 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB139) | (~v113(constB139)) | v112(constB139))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB139) | v112(constB139) | (~v113(constB139))))),
% 54.54/34.73 inference(monotonicity,[status(thm)],[23953])).
% 54.54/34.73 tff(23955,plain,
% 54.54/34.73 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB139) | (~v113(constB139)) | v112(constB139))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB139) | v112(constB139) | (~v113(constB139)))),
% 54.54/34.73 inference(transitivity,[status(thm)],[23954, 23952])).
% 54.54/34.73 tff(23956,plain,
% 54.54/34.73 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB139) | (~v113(constB139)) | v112(constB139))),
% 54.54/34.73 inference(quant_inst,[status(thm)],[])).
% 54.54/34.73 tff(23957,plain,
% 54.54/34.73 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB139) | v112(constB139) | (~v113(constB139))),
% 54.54/34.73 inference(modus_ponens,[status(thm)],[23956, 23955])).
% 54.54/34.73 tff(23958,plain,
% 54.54/34.73 (~v113(constB139)),
% 54.54/34.73 inference(unit_resolution,[status(thm)],[23957, 1063, 23951, 23944])).
% 54.54/34.73 tff(23959,plain,
% 54.54/34.73 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB139) | (~v114(constB139)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB139) | (~v114(constB139)))),
% 54.54/34.73 inference(rewrite,[status(thm)],[])).
% 54.54/34.73 tff(23960,plain,
% 54.54/34.73 (((~v114(constB139)) | v113(constB139)) <=> (v113(constB139) | (~v114(constB139)))),
% 54.54/34.73 inference(rewrite,[status(thm)],[])).
% 54.54/34.73 tff(23961,plain,
% 54.54/34.73 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB139)) | v113(constB139))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB139) | (~v114(constB139))))),
% 54.54/34.73 inference(monotonicity,[status(thm)],[23960])).
% 54.54/34.73 tff(23962,plain,
% 54.54/34.73 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB139)) | v113(constB139))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB139) | (~v114(constB139)))),
% 54.54/34.73 inference(transitivity,[status(thm)],[23961, 23959])).
% 54.54/34.73 tff(23963,plain,
% 54.54/34.73 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB139)) | v113(constB139))),
% 54.54/34.73 inference(quant_inst,[status(thm)],[])).
% 54.54/34.73 tff(23964,plain,
% 54.54/34.73 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB139) | (~v114(constB139))),
% 54.54/34.73 inference(modus_ponens,[status(thm)],[23963, 23962])).
% 54.54/34.73 tff(23965,plain,
% 54.54/34.73 (~v114(constB139)),
% 54.54/34.73 inference(unit_resolution,[status(thm)],[23964, 1049, 23958])).
% 54.54/34.73 tff(23966,plain,
% 54.54/34.73 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB139)) | v114(constB139))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB139)) | v114(constB139))),
% 54.54/34.73 inference(rewrite,[status(thm)],[])).
% 54.54/34.73 tff(23967,plain,
% 54.54/34.73 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB139)) | v114(constB139))),
% 54.54/34.73 inference(quant_inst,[status(thm)],[])).
% 54.54/34.73 tff(23968,plain,
% 54.54/34.73 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB139)) | v114(constB139)),
% 54.54/34.73 inference(modus_ponens,[status(thm)],[23967, 23966])).
% 54.54/34.73 tff(23969,plain,
% 54.54/34.73 (~v115(constB139)),
% 54.54/34.73 inference(unit_resolution,[status(thm)],[23968, 1035, 23965])).
% 54.54/34.73 tff(23970,plain,
% 54.54/34.73 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB139) | (~v116(constB139)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB139) | (~v116(constB139)))),
% 54.54/34.73 inference(rewrite,[status(thm)],[])).
% 54.54/34.73 tff(23971,plain,
% 54.54/34.73 (((~v116(constB139)) | v115(constB139)) <=> (v115(constB139) | (~v116(constB139)))),
% 54.54/34.73 inference(rewrite,[status(thm)],[])).
% 54.54/34.73 tff(23972,plain,
% 54.54/34.73 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB139)) | v115(constB139))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB139) | (~v116(constB139))))),
% 54.54/34.73 inference(monotonicity,[status(thm)],[23971])).
% 54.54/34.73 tff(23973,plain,
% 54.54/34.73 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB139)) | v115(constB139))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB139) | (~v116(constB139)))),
% 54.54/34.73 inference(transitivity,[status(thm)],[23972, 23970])).
% 54.54/34.73 tff(23974,plain,
% 54.54/34.73 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB139)) | v115(constB139))),
% 54.54/34.73 inference(quant_inst,[status(thm)],[])).
% 54.54/34.73 tff(23975,plain,
% 54.54/34.73 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB139) | (~v116(constB139))),
% 54.54/34.73 inference(modus_ponens,[status(thm)],[23974, 23973])).
% 54.54/34.73 tff(23976,plain,
% 54.54/34.73 (~v116(constB139)),
% 54.54/34.73 inference(unit_resolution,[status(thm)],[23975, 1021, 23969])).
% 54.54/34.73 tff(23977,plain,
% 54.54/34.73 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB139) | (~v117(constB139)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB139) | (~v117(constB139)))),
% 54.54/34.73 inference(rewrite,[status(thm)],[])).
% 54.54/34.73 tff(23978,plain,
% 54.54/34.73 (((~v117(constB139)) | v116(constB139)) <=> (v116(constB139) | (~v117(constB139)))),
% 54.54/34.73 inference(rewrite,[status(thm)],[])).
% 54.54/34.73 tff(23979,plain,
% 54.54/34.73 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB139)) | v116(constB139))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB139) | (~v117(constB139))))),
% 54.54/34.73 inference(monotonicity,[status(thm)],[23978])).
% 54.54/34.73 tff(23980,plain,
% 54.54/34.73 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB139)) | v116(constB139))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB139) | (~v117(constB139)))),
% 54.54/34.73 inference(transitivity,[status(thm)],[23979, 23977])).
% 54.54/34.73 tff(23981,plain,
% 54.54/34.73 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB139)) | v116(constB139))),
% 54.54/34.73 inference(quant_inst,[status(thm)],[])).
% 54.54/34.73 tff(23982,plain,
% 54.54/34.73 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB139) | (~v117(constB139))),
% 54.54/34.73 inference(modus_ponens,[status(thm)],[23981, 23980])).
% 54.54/34.73 tff(23983,plain,
% 54.54/34.73 (~v117(constB139)),
% 54.54/34.73 inference(unit_resolution,[status(thm)],[23982, 1007, 23976])).
% 54.54/34.73 tff(23984,plain,
% 54.54/34.73 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB139) | (~v118(constB139)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB139) | (~v118(constB139)))),
% 54.54/34.73 inference(rewrite,[status(thm)],[])).
% 54.54/34.73 tff(23985,plain,
% 54.54/34.73 (((~v118(constB139)) | v117(constB139)) <=> (v117(constB139) | (~v118(constB139)))),
% 54.54/34.73 inference(rewrite,[status(thm)],[])).
% 54.54/34.73 tff(23986,plain,
% 54.54/34.73 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB139)) | v117(constB139))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB139) | (~v118(constB139))))),
% 54.54/34.73 inference(monotonicity,[status(thm)],[23985])).
% 54.54/34.73 tff(23987,plain,
% 54.54/34.73 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB139)) | v117(constB139))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB139) | (~v118(constB139)))),
% 54.54/34.73 inference(transitivity,[status(thm)],[23986, 23984])).
% 54.54/34.73 tff(23988,plain,
% 54.54/34.73 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB139)) | v117(constB139))),
% 54.54/34.73 inference(quant_inst,[status(thm)],[])).
% 54.54/34.73 tff(23989,plain,
% 54.54/34.73 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB139) | (~v118(constB139))),
% 54.54/34.73 inference(modus_ponens,[status(thm)],[23988, 23987])).
% 54.54/34.73 tff(23990,plain,
% 54.54/34.73 (~v118(constB139)),
% 54.54/34.73 inference(unit_resolution,[status(thm)],[23989, 993, 23983])).
% 54.54/34.73 tff(23991,plain,
% 54.54/34.73 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB139) | (~v124(constB139)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB139) | (~v124(constB139)))),
% 54.54/34.73 inference(rewrite,[status(thm)],[])).
% 54.54/34.73 tff(23992,plain,
% 54.54/34.73 (((~v124(constB139)) | v114(constB139)) <=> (v114(constB139) | (~v124(constB139)))),
% 54.54/34.73 inference(rewrite,[status(thm)],[])).
% 54.54/34.73 tff(23993,plain,
% 54.54/34.73 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB139)) | v114(constB139))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB139) | (~v124(constB139))))),
% 54.54/34.73 inference(monotonicity,[status(thm)],[23992])).
% 54.54/34.73 tff(23994,plain,
% 54.54/34.73 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB139)) | v114(constB139))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB139) | (~v124(constB139)))),
% 54.54/34.73 inference(transitivity,[status(thm)],[23993, 23991])).
% 54.54/34.73 tff(23995,plain,
% 54.54/34.73 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB139)) | v114(constB139))),
% 54.54/34.73 inference(quant_inst,[status(thm)],[])).
% 54.54/34.73 tff(23996,plain,
% 54.54/34.73 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB139) | (~v124(constB139))),
% 54.54/34.73 inference(modus_ponens,[status(thm)],[23995, 23994])).
% 54.54/34.73 tff(23997,plain,
% 54.54/34.73 (~v124(constB139)),
% 54.54/34.73 inference(unit_resolution,[status(thm)],[23996, 2674, 23965])).
% 54.54/34.73 tff(23998,plain,
% 54.54/34.73 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB139) | (~v122(constB139)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB139) | (~v122(constB139)))),
% 54.54/34.73 inference(rewrite,[status(thm)],[])).
% 54.54/34.73 tff(23999,plain,
% 54.54/34.73 (((~v122(constB139)) | v116(constB139)) <=> (v116(constB139) | (~v122(constB139)))),
% 54.54/34.73 inference(rewrite,[status(thm)],[])).
% 54.54/34.73 tff(24000,plain,
% 54.54/34.73 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB139)) | v116(constB139))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB139) | (~v122(constB139))))),
% 54.54/34.73 inference(monotonicity,[status(thm)],[23999])).
% 54.54/34.73 tff(24001,plain,
% 54.54/34.73 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB139)) | v116(constB139))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB139) | (~v122(constB139)))),
% 54.54/34.73 inference(transitivity,[status(thm)],[24000, 23998])).
% 54.54/34.73 tff(24002,plain,
% 54.54/34.73 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB139)) | v116(constB139))),
% 54.54/34.73 inference(quant_inst,[status(thm)],[])).
% 54.54/34.73 tff(24003,plain,
% 54.54/34.73 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB139) | (~v122(constB139))),
% 54.54/34.73 inference(modus_ponens,[status(thm)],[24002, 24001])).
% 54.54/34.73 tff(24004,plain,
% 54.54/34.73 (~v122(constB139)),
% 54.54/34.73 inference(unit_resolution,[status(thm)],[24003, 2120, 23976])).
% 54.54/34.73 tff(24005,plain,
% 54.54/34.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB139, 0) | (~nextState(constB139, constB140)) | v100(constB140) | (~v90(constB140, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB139, 0) | (~nextState(constB139, constB140)) | v100(constB140) | (~v90(constB140, 0)))),
% 54.54/34.73 inference(rewrite,[status(thm)],[])).
% 54.54/34.73 tff(24006,plain,
% 54.54/34.73 (((~nextState(constB139, constB140)) | v90(constB139, 0) | v100(constB140) | (~v90(constB140, 0))) <=> (v90(constB139, 0) | (~nextState(constB139, constB140)) | v100(constB140) | (~v90(constB140, 0)))),
% 54.54/34.73 inference(rewrite,[status(thm)],[])).
% 54.54/34.73 tff(24007,plain,
% 54.54/34.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB139, constB140)) | v90(constB139, 0) | v100(constB140) | (~v90(constB140, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB139, 0) | (~nextState(constB139, constB140)) | v100(constB140) | (~v90(constB140, 0))))),
% 54.54/34.73 inference(monotonicity,[status(thm)],[24006])).
% 54.54/34.73 tff(24008,plain,
% 54.54/34.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB139, constB140)) | v90(constB139, 0) | v100(constB140) | (~v90(constB140, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB139, 0) | (~nextState(constB139, constB140)) | v100(constB140) | (~v90(constB140, 0)))),
% 54.54/34.73 inference(transitivity,[status(thm)],[24007, 24005])).
% 54.54/34.73 tff(24009,plain,
% 54.54/34.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB139, constB140)) | v90(constB139, 0) | v100(constB140) | (~v90(constB140, 0)))),
% 54.54/34.73 inference(quant_inst,[status(thm)],[])).
% 54.54/34.73 tff(24010,plain,
% 54.54/34.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB139, 0) | (~nextState(constB139, constB140)) | v100(constB140) | (~v90(constB140, 0))),
% 54.54/34.73 inference(modus_ponens,[status(thm)],[24009, 24008])).
% 54.54/34.73 tff(24011,plain,
% 54.54/34.73 (v90(constB139, 0) | v100(constB140) | (~v90(constB140, 0))),
% 54.54/34.73 inference(unit_resolution,[status(thm)],[24010, 947, 23871])).
% 54.54/34.73 tff(24012,plain,
% 54.54/34.73 (v90(constB139, 0)),
% 54.54/34.73 inference(unit_resolution,[status(thm)],[24011, 23903, 23889])).
% 54.54/34.73 tff(24013,plain,
% 54.54/34.73 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v119(constB139)) | (~v90(constB139, 0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | (~v119(constB139)) | (~v90(constB139, 0)))),
% 54.54/34.73 inference(rewrite,[status(thm)],[])).
% 54.54/34.73 tff(24014,plain,
% 54.54/34.73 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v119(constB139)) | (~v90(constB139, 0)))),
% 54.54/34.73 inference(quant_inst,[status(thm)],[])).
% 54.54/34.73 tff(24015,plain,
% 54.54/34.73 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | (~v119(constB139)) | (~v90(constB139, 0))),
% 54.54/34.73 inference(modus_ponens,[status(thm)],[24014, 24013])).
% 54.54/34.73 tff(24016,plain,
% 54.54/34.73 (~v119(constB139)),
% 54.54/34.73 inference(unit_resolution,[status(thm)],[24015, 5865, 24012])).
% 54.54/34.73 tff(24017,plain,
% 54.54/34.73 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v121(constB139)) | (~v90(constB139, 0)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | (~v121(constB139)) | (~v90(constB139, 0)))),
% 54.54/34.73 inference(rewrite,[status(thm)],[])).
% 54.54/34.73 tff(24018,plain,
% 54.54/34.73 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v121(constB139)) | (~v90(constB139, 0)))),
% 54.54/34.73 inference(quant_inst,[status(thm)],[])).
% 54.54/34.73 tff(24019,plain,
% 54.54/34.73 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | (~v121(constB139)) | (~v90(constB139, 0))),
% 54.54/34.73 inference(modus_ponens,[status(thm)],[24018, 24017])).
% 54.54/34.73 tff(24020,plain,
% 54.54/34.73 (~v121(constB139)),
% 54.54/34.73 inference(unit_resolution,[status(thm)],[24019, 5876, 24012])).
% 54.54/34.73 tff(24021,plain,
% 54.54/34.73 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v123(constB139)) | (~v90(constB139, 0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | (~v123(constB139)) | (~v90(constB139, 0)))),
% 54.54/34.73 inference(rewrite,[status(thm)],[])).
% 54.54/34.73 tff(24022,plain,
% 54.54/34.73 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v123(constB139)) | (~v90(constB139, 0)))),
% 54.54/34.73 inference(quant_inst,[status(thm)],[])).
% 54.54/34.73 tff(24023,plain,
% 54.54/34.73 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | (~v123(constB139)) | (~v90(constB139, 0))),
% 54.54/34.73 inference(modus_ponens,[status(thm)],[24022, 24021])).
% 54.54/34.73 tff(24024,plain,
% 54.54/34.73 (~v123(constB139)),
% 54.54/34.73 inference(unit_resolution,[status(thm)],[24023, 5887, 24012])).
% 54.54/34.73 tff(24025,plain,
% 54.54/34.73 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB139) | (~v130(constB139, 0)) | v127(constB139, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB139) | (~v130(constB139, 0)) | v127(constB139, 0))),
% 54.54/34.73 inference(rewrite,[status(thm)],[])).
% 54.54/34.73 tff(24026,plain,
% 54.54/34.73 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB139) | (~v130(constB139, 0)) | v127(constB139, 0))),
% 54.54/34.73 inference(quant_inst,[status(thm)],[])).
% 54.54/34.73 tff(24027,plain,
% 54.54/34.73 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB139) | (~v130(constB139, 0)) | v127(constB139, 0)),
% 54.54/34.73 inference(modus_ponens,[status(thm)],[24026, 24025])).
% 54.54/34.73 tff(24028,plain,
% 54.54/34.73 (v26(constB139) | (~v130(constB139, 0))),
% 54.54/34.73 inference(unit_resolution,[status(thm)],[24027, 1347, 23890])).
% 54.54/34.73 tff(24029,plain,
% 54.54/34.73 (~v130(constB139, 0)),
% 54.54/34.73 inference(unit_resolution,[status(thm)],[24028, 23951])).
% 54.54/34.73 tff(24030,plain,
% 54.54/34.73 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB139) | v120(constB139) | v121(constB139) | v122(constB139) | v123(constB139) | v124(constB139) | v130(constB139, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB139) | v120(constB139) | v121(constB139) | v122(constB139) | v123(constB139) | v124(constB139) | v130(constB139, 0))),
% 54.54/34.73 inference(rewrite,[status(thm)],[])).
% 54.54/34.73 tff(24031,plain,
% 54.54/34.73 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB139) | v120(constB139) | v121(constB139) | v122(constB139) | v123(constB139) | v124(constB139) | v130(constB139, 0))),
% 54.54/34.73 inference(quant_inst,[status(thm)],[])).
% 54.54/34.73 tff(24032,plain,
% 54.54/34.73 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB139) | v120(constB139) | v121(constB139) | v122(constB139) | v123(constB139) | v124(constB139) | v130(constB139, 0)),
% 54.54/34.73 inference(modus_ponens,[status(thm)],[24031, 24030])).
% 54.54/34.73 tff(24033,plain,
% 54.54/34.73 (v120(constB139) | v122(constB139) | v124(constB139)),
% 54.54/34.73 inference(unit_resolution,[status(thm)],[24032, 3413, 24029, 24024, 24020, 24016])).
% 54.54/34.73 tff(24034,plain,
% 54.54/34.73 (v120(constB139)),
% 54.54/34.73 inference(unit_resolution,[status(thm)],[24033, 24004, 23997])).
% 54.54/34.73 tff(24035,plain,
% 54.54/34.73 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB139) | (~v120(constB139)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB139) | (~v120(constB139)))),
% 54.54/34.73 inference(rewrite,[status(thm)],[])).
% 54.54/34.73 tff(24036,plain,
% 54.54/34.73 (((~v120(constB139)) | v118(constB139)) <=> (v118(constB139) | (~v120(constB139)))),
% 54.54/34.73 inference(rewrite,[status(thm)],[])).
% 54.54/34.73 tff(24037,plain,
% 54.54/34.73 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB139)) | v118(constB139))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB139) | (~v120(constB139))))),
% 54.54/34.73 inference(monotonicity,[status(thm)],[24036])).
% 54.54/34.73 tff(24038,plain,
% 54.54/34.73 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB139)) | v118(constB139))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB139) | (~v120(constB139)))),
% 54.54/34.73 inference(transitivity,[status(thm)],[24037, 24035])).
% 54.54/34.73 tff(24039,plain,
% 54.54/34.73 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB139)) | v118(constB139))),
% 54.54/34.73 inference(quant_inst,[status(thm)],[])).
% 54.54/34.73 tff(24040,plain,
% 54.54/34.73 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB139) | (~v120(constB139))),
% 54.54/34.73 inference(modus_ponens,[status(thm)],[24039, 24038])).
% 54.54/34.73 tff(24041,plain,
% 54.54/34.73 ($false),
% 54.54/34.73 inference(unit_resolution,[status(thm)],[24040, 1425, 24034, 23990])).
% 54.54/34.74 tff(24042,plain,((~v90(constB140, 0)) | v127(constB139, 0)), inference(lemma,lemma(discharge,[]))).
% 54.54/34.74 tff(24043,plain,
% 54.54/34.74 (~v90(constB140, 0)),
% 54.54/34.74 inference(unit_resolution,[status(thm)],[24042, 23888])).
% 54.54/34.74 tff(24044,plain,
% 54.54/34.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB139, 0)) | (~nextState(constB139, constB140)) | v100(constB140) | v90(constB140, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB139, 0)) | (~nextState(constB139, constB140)) | v100(constB140) | v90(constB140, 0))),
% 54.54/34.74 inference(rewrite,[status(thm)],[])).
% 54.54/34.74 tff(24045,plain,
% 54.54/34.74 (((~nextState(constB139, constB140)) | (~v90(constB139, 0)) | v100(constB140) | v90(constB140, 0)) <=> ((~v90(constB139, 0)) | (~nextState(constB139, constB140)) | v100(constB140) | v90(constB140, 0))),
% 54.54/34.74 inference(rewrite,[status(thm)],[])).
% 54.54/34.74 tff(24046,plain,
% 54.54/34.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB139, constB140)) | (~v90(constB139, 0)) | v100(constB140) | v90(constB140, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB139, 0)) | (~nextState(constB139, constB140)) | v100(constB140) | v90(constB140, 0)))),
% 54.54/34.74 inference(monotonicity,[status(thm)],[24045])).
% 54.54/34.74 tff(24047,plain,
% 54.54/34.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB139, constB140)) | (~v90(constB139, 0)) | v100(constB140) | v90(constB140, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB139, 0)) | (~nextState(constB139, constB140)) | v100(constB140) | v90(constB140, 0))),
% 54.54/34.74 inference(transitivity,[status(thm)],[24046, 24044])).
% 54.54/34.74 tff(24048,plain,
% 54.54/34.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB139, constB140)) | (~v90(constB139, 0)) | v100(constB140) | v90(constB140, 0))),
% 54.54/34.74 inference(quant_inst,[status(thm)],[])).
% 54.54/34.74 tff(24049,plain,
% 54.54/34.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB139, 0)) | (~nextState(constB139, constB140)) | v100(constB140) | v90(constB140, 0)),
% 54.54/34.74 inference(modus_ponens,[status(thm)],[24048, 24047])).
% 54.54/34.74 tff(24050,plain,
% 54.54/34.74 ((~v90(constB139, 0)) | v100(constB140) | v90(constB140, 0)),
% 54.54/34.74 inference(unit_resolution,[status(thm)],[24049, 1395, 23871])).
% 54.54/34.74 tff(24051,plain,
% 54.54/34.74 (v100(constB140)),
% 54.54/34.74 inference(unit_resolution,[status(thm)],[24050, 24043, 23850])).
% 54.54/34.74 tff(24052,plain,
% 54.54/34.74 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB140, 2) | (~v129(constB140, 2)) | (~v100(constB140)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB140, 2) | (~v129(constB140, 2)) | (~v100(constB140)))),
% 54.54/34.74 inference(rewrite,[status(thm)],[])).
% 54.54/34.74 tff(24053,plain,
% 54.54/34.74 ((v90(constB140, 2) | (~v100(constB140)) | (~v129(constB140, 2))) <=> (v90(constB140, 2) | (~v129(constB140, 2)) | (~v100(constB140)))),
% 54.54/34.74 inference(rewrite,[status(thm)],[])).
% 54.54/34.74 tff(24054,plain,
% 54.54/34.74 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB140, 2) | (~v100(constB140)) | (~v129(constB140, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB140, 2) | (~v129(constB140, 2)) | (~v100(constB140))))),
% 54.54/34.74 inference(monotonicity,[status(thm)],[24053])).
% 54.54/34.74 tff(24055,plain,
% 54.54/34.74 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB140, 2) | (~v100(constB140)) | (~v129(constB140, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB140, 2) | (~v129(constB140, 2)) | (~v100(constB140)))),
% 54.54/34.74 inference(transitivity,[status(thm)],[24054, 24052])).
% 54.54/34.74 tff(24056,plain,
% 54.54/34.74 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB140, 2) | (~v100(constB140)) | (~v129(constB140, 2)))),
% 54.54/34.74 inference(quant_inst,[status(thm)],[])).
% 54.54/34.74 tff(24057,plain,
% 54.54/34.74 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB140, 2) | (~v129(constB140, 2)) | (~v100(constB140))),
% 54.54/34.74 inference(modus_ponens,[status(thm)],[24056, 24055])).
% 54.54/34.74 tff(24058,plain,
% 54.54/34.74 (v90(constB140, 2)),
% 54.54/34.74 inference(unit_resolution,[status(thm)],[24057, 2324, 24051, 23876])).
% 54.54/34.74 tff(24059,plain,
% 54.54/34.74 ((~v1(constB141)) <=> (~v1(constB141))),
% 54.54/34.74 inference(rewrite,[status(thm)],[])).
% 54.54/34.74 tff(24060,axiom,(~v1(constB141)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_141_1_1')).
% 54.54/34.74 tff(24061,plain,
% 54.54/34.74 (~v1(constB141)),
% 54.54/34.74 inference(modus_ponens,[status(thm)],[24060, 24059])).
% 54.54/34.74 tff(24062,plain,
% 54.54/34.74 (nextState(constB140, constB141) <=> nextState(constB140, constB141)),
% 54.54/34.74 inference(rewrite,[status(thm)],[])).
% 54.54/34.74 tff(24063,axiom,(nextState(constB140, constB141)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_140_1')).
% 54.54/34.74 tff(24064,plain,
% 54.54/34.74 (nextState(constB140, constB141)),
% 54.54/34.74 inference(modus_ponens,[status(thm)],[24063, 24062])).
% 54.54/34.74 tff(24065,plain,
% 54.54/34.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141)))),
% 54.54/34.74 inference(rewrite,[status(thm)],[])).
% 54.54/34.74 tff(24066,plain,
% 54.54/34.74 (((~nextState(constB140, constB141)) | (~v101(constB141)) | v1(constB141)) <=> (v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141)))),
% 54.54/34.74 inference(rewrite,[status(thm)],[])).
% 54.54/34.74 tff(24067,plain,
% 54.54/34.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB140, constB141)) | (~v101(constB141)) | v1(constB141))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141))))),
% 54.54/34.74 inference(monotonicity,[status(thm)],[24066])).
% 54.54/34.74 tff(24068,plain,
% 54.54/34.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB140, constB141)) | (~v101(constB141)) | v1(constB141))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141)))),
% 54.54/34.74 inference(transitivity,[status(thm)],[24067, 24065])).
% 54.54/34.74 tff(24069,plain,
% 54.54/34.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB140, constB141)) | (~v101(constB141)) | v1(constB141))),
% 54.54/34.74 inference(quant_inst,[status(thm)],[])).
% 54.54/34.74 tff(24070,plain,
% 54.54/34.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v101(constB141))),
% 54.54/34.74 inference(modus_ponens,[status(thm)],[24069, 24068])).
% 54.54/34.74 tff(24071,plain,
% 54.54/34.74 (~v101(constB141)),
% 54.54/34.74 inference(unit_resolution,[status(thm)],[24070, 873, 24064, 24061])).
% 54.54/34.74 tff(24072,plain,
% 54.54/34.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB140, constB141)) | v101(constB141) | (~v100(constB141)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB140, constB141)) | v101(constB141) | (~v100(constB141)))),
% 54.54/34.74 inference(rewrite,[status(thm)],[])).
% 54.54/34.74 tff(24073,plain,
% 54.54/34.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB140, constB141)) | v101(constB141) | (~v100(constB141)))),
% 54.54/34.74 inference(quant_inst,[status(thm)],[])).
% 54.54/34.74 tff(24074,plain,
% 54.54/34.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB140, constB141)) | v101(constB141) | (~v100(constB141))),
% 54.54/34.74 inference(modus_ponens,[status(thm)],[24073, 24072])).
% 54.54/34.74 tff(24075,plain,
% 54.54/34.74 (v101(constB141) | (~v100(constB141))),
% 54.54/34.74 inference(unit_resolution,[status(thm)],[24074, 890, 24064])).
% 54.54/34.74 tff(24076,plain,
% 54.54/34.74 (~v100(constB141)),
% 54.54/34.74 inference(unit_resolution,[status(thm)],[24075, 24071])).
% 54.54/34.74 tff(24077,plain,
% 54.54/34.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB140, 2)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB140, 2)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, 2))),
% 54.54/34.74 inference(rewrite,[status(thm)],[])).
% 54.54/34.74 tff(24078,plain,
% 54.54/34.74 (((~nextState(constB140, constB141)) | (~v90(constB140, 2)) | v100(constB141) | v90(constB141, 2)) <=> ((~v90(constB140, 2)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, 2))),
% 54.54/34.74 inference(rewrite,[status(thm)],[])).
% 54.54/34.74 tff(24079,plain,
% 54.54/34.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB140, constB141)) | (~v90(constB140, 2)) | v100(constB141) | v90(constB141, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB140, 2)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, 2)))),
% 54.54/34.74 inference(monotonicity,[status(thm)],[24078])).
% 54.54/34.74 tff(24080,plain,
% 54.54/34.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB140, constB141)) | (~v90(constB140, 2)) | v100(constB141) | v90(constB141, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB140, 2)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, 2))),
% 54.54/34.74 inference(transitivity,[status(thm)],[24079, 24077])).
% 54.54/34.74 tff(24081,plain,
% 54.54/34.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB140, constB141)) | (~v90(constB140, 2)) | v100(constB141) | v90(constB141, 2))),
% 54.54/34.74 inference(quant_inst,[status(thm)],[])).
% 54.54/34.74 tff(24082,plain,
% 54.54/34.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB140, 2)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, 2)),
% 54.54/34.74 inference(modus_ponens,[status(thm)],[24081, 24080])).
% 54.54/34.74 tff(24083,plain,
% 54.54/34.74 ((~v90(constB140, 2)) | v100(constB141) | v90(constB141, 2)),
% 54.54/34.74 inference(unit_resolution,[status(thm)],[24082, 2174, 24064])).
% 54.54/34.74 tff(24084,plain,
% 54.54/34.74 ((~v90(constB140, 2)) | v90(constB141, 2)),
% 54.54/34.74 inference(unit_resolution,[status(thm)],[24083, 24076])).
% 54.54/34.74 tff(24085,plain,
% 54.54/34.74 (v90(constB141, 2)),
% 54.54/34.74 inference(unit_resolution,[status(thm)],[24084, 24058])).
% 54.54/34.74 tff(24086,plain,
% 54.54/34.74 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB139)) | (~v130(constB139, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB139)) | (~v130(constB139, 1)))),
% 54.54/34.74 inference(rewrite,[status(thm)],[])).
% 54.54/34.74 tff(24087,plain,
% 54.54/34.74 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB139)) | (~v130(constB139, 1)))),
% 54.54/34.74 inference(quant_inst,[status(thm)],[])).
% 54.54/34.74 tff(24088,plain,
% 54.54/34.74 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB139)) | (~v130(constB139, 1))),
% 54.54/34.74 inference(modus_ponens,[status(thm)],[24087, 24086])).
% 54.54/34.74 tff(24089,plain,
% 54.54/34.74 (~v130(constB139, 1)),
% 54.54/34.74 inference(unit_resolution,[status(thm)],[24088, 2366, 23855])).
% 54.54/34.74 tff(24090,plain,
% 54.54/34.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB139, 1)) | v26(constB139) | v130(constB139, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB139, 1)) | v26(constB139) | v130(constB139, 1))),
% 54.54/34.74 inference(rewrite,[status(thm)],[])).
% 54.54/34.74 tff(24091,plain,
% 54.54/34.74 ((v26(constB139) | v130(constB139, 1) | (~v127(constB139, 1))) <=> ((~v127(constB139, 1)) | v26(constB139) | v130(constB139, 1))),
% 54.54/34.74 inference(rewrite,[status(thm)],[])).
% 54.54/34.74 tff(24092,plain,
% 54.54/34.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB139) | v130(constB139, 1) | (~v127(constB139, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB139, 1)) | v26(constB139) | v130(constB139, 1)))),
% 54.54/34.74 inference(monotonicity,[status(thm)],[24091])).
% 54.54/34.74 tff(24093,plain,
% 54.54/34.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB139) | v130(constB139, 1) | (~v127(constB139, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB139, 1)) | v26(constB139) | v130(constB139, 1))),
% 54.54/34.74 inference(transitivity,[status(thm)],[24092, 24090])).
% 54.54/34.74 tff(24094,plain,
% 54.54/34.74 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB139) | v130(constB139, 1) | (~v127(constB139, 1)))),
% 54.54/34.74 inference(quant_inst,[status(thm)],[])).
% 54.54/34.74 tff(24095,plain,
% 54.54/34.74 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB139, 1)) | v26(constB139) | v130(constB139, 1)),
% 54.54/34.74 inference(modus_ponens,[status(thm)],[24094, 24093])).
% 54.54/34.74 tff(24096,plain,
% 54.54/34.74 ((~v127(constB139, 1)) | v130(constB139, 1)),
% 54.54/34.74 inference(unit_resolution,[status(thm)],[24095, 1276, 23863])).
% 54.54/34.74 tff(24097,plain,
% 54.54/34.74 (~v127(constB139, 1)),
% 54.54/34.74 inference(unit_resolution,[status(thm)],[24096, 24089])).
% 54.54/34.74 tff(24098,plain,
% 54.54/34.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB139, constB140)) | v127(constB139, 1) | (~v129(constB140, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB139, constB140)) | v127(constB139, 1) | (~v129(constB140, 1)))),
% 54.54/34.74 inference(rewrite,[status(thm)],[])).
% 54.54/34.74 tff(24099,plain,
% 54.54/34.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB139, constB140)) | v127(constB139, 1) | (~v129(constB140, 1)))),
% 54.54/34.74 inference(quant_inst,[status(thm)],[])).
% 54.54/34.74 tff(24100,plain,
% 54.54/34.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB139, constB140)) | v127(constB139, 1) | (~v129(constB140, 1))),
% 54.54/34.74 inference(modus_ponens,[status(thm)],[24099, 24098])).
% 54.54/34.74 tff(24101,plain,
% 54.54/34.74 (v127(constB139, 1) | (~v129(constB140, 1))),
% 54.54/34.74 inference(unit_resolution,[status(thm)],[24100, 1294, 23871])).
% 54.54/34.74 tff(24102,plain,
% 54.54/34.74 (~v129(constB140, 1)),
% 54.54/34.74 inference(unit_resolution,[status(thm)],[24101, 24097])).
% 54.54/34.74 tff(24103,plain,
% 54.54/34.74 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB140, 1)) | v129(constB140, 1) | (~v100(constB140)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB140, 1)) | v129(constB140, 1) | (~v100(constB140)))),
% 54.54/34.74 inference(rewrite,[status(thm)],[])).
% 54.54/34.74 tff(24104,plain,
% 54.54/34.74 (((~v90(constB140, 1)) | (~v100(constB140)) | v129(constB140, 1)) <=> ((~v90(constB140, 1)) | v129(constB140, 1) | (~v100(constB140)))),
% 54.54/34.74 inference(rewrite,[status(thm)],[])).
% 54.54/34.74 tff(24105,plain,
% 54.54/34.74 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB140, 1)) | (~v100(constB140)) | v129(constB140, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB140, 1)) | v129(constB140, 1) | (~v100(constB140))))),
% 54.54/34.74 inference(monotonicity,[status(thm)],[24104])).
% 54.54/34.74 tff(24106,plain,
% 54.54/34.74 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB140, 1)) | (~v100(constB140)) | v129(constB140, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB140, 1)) | v129(constB140, 1) | (~v100(constB140)))),
% 54.54/34.74 inference(transitivity,[status(thm)],[24105, 24103])).
% 54.54/34.74 tff(24107,plain,
% 54.54/34.74 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB140, 1)) | (~v100(constB140)) | v129(constB140, 1))),
% 54.54/34.74 inference(quant_inst,[status(thm)],[])).
% 54.54/34.74 tff(24108,plain,
% 54.54/34.74 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB140, 1)) | v129(constB140, 1) | (~v100(constB140))),
% 54.54/34.74 inference(modus_ponens,[status(thm)],[24107, 24106])).
% 54.54/34.74 tff(24109,plain,
% 54.54/34.74 (~v90(constB140, 1)),
% 54.54/34.74 inference(unit_resolution,[status(thm)],[24108, 1309, 24051, 24102])).
% 54.54/34.74 tff(24110,plain,
% 54.54/34.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB140, 1) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB140, 1) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, 1)))),
% 54.54/34.74 inference(rewrite,[status(thm)],[])).
% 54.54/34.74 tff(24111,plain,
% 54.54/34.74 (((~nextState(constB140, constB141)) | v90(constB140, 1) | v100(constB141) | (~v90(constB141, 1))) <=> (v90(constB140, 1) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, 1)))),
% 54.54/34.74 inference(rewrite,[status(thm)],[])).
% 54.54/34.74 tff(24112,plain,
% 54.54/34.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB140, constB141)) | v90(constB140, 1) | v100(constB141) | (~v90(constB141, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB140, 1) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, 1))))),
% 54.54/34.74 inference(monotonicity,[status(thm)],[24111])).
% 54.54/34.74 tff(24113,plain,
% 54.54/34.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB140, constB141)) | v90(constB140, 1) | v100(constB141) | (~v90(constB141, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB140, 1) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, 1)))),
% 54.54/34.74 inference(transitivity,[status(thm)],[24112, 24110])).
% 54.54/34.74 tff(24114,plain,
% 54.54/34.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB140, constB141)) | v90(constB140, 1) | v100(constB141) | (~v90(constB141, 1)))),
% 54.54/34.74 inference(quant_inst,[status(thm)],[])).
% 54.54/34.74 tff(24115,plain,
% 54.54/34.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB140, 1) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, 1))),
% 54.54/34.74 inference(modus_ponens,[status(thm)],[24114, 24113])).
% 54.54/34.74 tff(24116,plain,
% 54.54/34.74 (v90(constB140, 1) | v100(constB141) | (~v90(constB141, 1))),
% 54.54/34.74 inference(unit_resolution,[status(thm)],[24115, 926, 24064])).
% 54.54/34.74 tff(24117,plain,
% 54.54/34.74 (v90(constB140, 1) | (~v90(constB141, 1))),
% 54.54/34.74 inference(unit_resolution,[status(thm)],[24116, 24076])).
% 54.54/34.74 tff(24118,plain,
% 54.54/34.74 (~v90(constB141, 1)),
% 54.54/34.74 inference(unit_resolution,[status(thm)],[24117, 24109])).
% 54.54/34.74 tff(24119,plain,
% 54.54/34.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB140, 0) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB140, 0) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, 0)))),
% 54.54/34.74 inference(rewrite,[status(thm)],[])).
% 54.54/34.74 tff(24120,plain,
% 54.54/34.74 (((~nextState(constB140, constB141)) | v90(constB140, 0) | v100(constB141) | (~v90(constB141, 0))) <=> (v90(constB140, 0) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, 0)))),
% 54.54/34.74 inference(rewrite,[status(thm)],[])).
% 54.54/34.74 tff(24121,plain,
% 54.54/34.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB140, constB141)) | v90(constB140, 0) | v100(constB141) | (~v90(constB141, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB140, 0) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, 0))))),
% 54.54/34.74 inference(monotonicity,[status(thm)],[24120])).
% 54.54/34.74 tff(24122,plain,
% 54.54/34.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB140, constB141)) | v90(constB140, 0) | v100(constB141) | (~v90(constB141, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB140, 0) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, 0)))),
% 54.54/34.74 inference(transitivity,[status(thm)],[24121, 24119])).
% 54.54/34.74 tff(24123,plain,
% 54.54/34.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB140, constB141)) | v90(constB140, 0) | v100(constB141) | (~v90(constB141, 0)))),
% 54.54/34.74 inference(quant_inst,[status(thm)],[])).
% 54.54/34.74 tff(24124,plain,
% 54.54/34.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB140, 0) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, 0))),
% 54.54/34.74 inference(modus_ponens,[status(thm)],[24123, 24122])).
% 54.54/34.74 tff(24125,plain,
% 54.54/34.74 (v90(constB140, 0) | v100(constB141) | (~v90(constB141, 0))),
% 54.54/34.74 inference(unit_resolution,[status(thm)],[24124, 947, 24064])).
% 54.54/34.74 tff(24126,plain,
% 54.54/34.74 (v90(constB140, 0) | (~v90(constB141, 0))),
% 54.54/34.74 inference(unit_resolution,[status(thm)],[24125, 24076])).
% 54.54/34.74 tff(24127,plain,
% 54.54/34.74 (~v90(constB141, 0)),
% 54.54/34.74 inference(unit_resolution,[status(thm)],[24126, 24043])).
% 54.54/34.74 tff(24128,plain,
% 54.54/34.74 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB141, 0) | v90(constB141, 1) | (~v90(constB141, 2)) | v123(constB141))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB141, 0) | v90(constB141, 1) | (~v90(constB141, 2)) | v123(constB141))),
% 54.54/34.74 inference(rewrite,[status(thm)],[])).
% 54.54/34.74 tff(24129,plain,
% 54.54/34.74 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB141, 0) | v90(constB141, 1) | (~v90(constB141, 2)) | v123(constB141))),
% 54.54/34.74 inference(quant_inst,[status(thm)],[])).
% 54.54/34.74 tff(24130,plain,
% 54.54/34.74 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB141, 0) | v90(constB141, 1) | (~v90(constB141, 2)) | v123(constB141)),
% 54.54/34.74 inference(modus_ponens,[status(thm)],[24129, 24128])).
% 54.54/34.74 tff(24131,plain,
% 54.54/34.74 (v90(constB141, 1) | (~v90(constB141, 2)) | v123(constB141)),
% 54.54/34.74 inference(unit_resolution,[status(thm)],[24130, 2308, 24127])).
% 54.54/34.74 tff(24132,plain,
% 54.54/34.74 (v123(constB141)),
% 54.54/34.74 inference(unit_resolution,[status(thm)],[24131, 24118, 24085])).
% 54.54/34.74 tff(24133,plain,
% 54.54/34.74 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB141)) | v115(constB141))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB141)) | v115(constB141))),
% 54.54/34.74 inference(rewrite,[status(thm)],[])).
% 54.54/34.74 tff(24134,plain,
% 54.54/34.74 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB141)) | v115(constB141))),
% 54.54/34.74 inference(quant_inst,[status(thm)],[])).
% 54.54/34.74 tff(24135,plain,
% 54.54/34.74 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB141)) | v115(constB141)),
% 54.54/34.74 inference(modus_ponens,[status(thm)],[24134, 24133])).
% 54.54/34.74 tff(24136,plain,
% 54.54/34.74 (v115(constB141)),
% 54.54/34.74 inference(unit_resolution,[status(thm)],[24135, 2291, 24132])).
% 54.54/34.74 tff(24137,plain,
% 54.54/34.74 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB141)) | v114(constB141))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB141)) | v114(constB141))),
% 54.54/34.74 inference(rewrite,[status(thm)],[])).
% 54.54/34.74 tff(24138,plain,
% 54.54/34.74 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB141)) | v114(constB141))),
% 54.54/34.74 inference(quant_inst,[status(thm)],[])).
% 54.54/34.74 tff(24139,plain,
% 54.54/34.74 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB141)) | v114(constB141)),
% 54.54/34.74 inference(modus_ponens,[status(thm)],[24138, 24137])).
% 54.54/34.74 tff(24140,plain,
% 54.54/34.74 (v114(constB141)),
% 54.54/34.74 inference(unit_resolution,[status(thm)],[24139, 1035, 24136])).
% 54.54/34.74 tff(24141,plain,
% 54.54/34.74 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB141) | (~v114(constB141)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB141) | (~v114(constB141)))),
% 54.54/34.74 inference(rewrite,[status(thm)],[])).
% 54.54/34.74 tff(24142,plain,
% 54.54/34.74 (((~v114(constB141)) | v113(constB141)) <=> (v113(constB141) | (~v114(constB141)))),
% 54.54/34.74 inference(rewrite,[status(thm)],[])).
% 54.54/34.74 tff(24143,plain,
% 54.54/34.74 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB141)) | v113(constB141))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB141) | (~v114(constB141))))),
% 54.54/34.74 inference(monotonicity,[status(thm)],[24142])).
% 54.54/34.74 tff(24144,plain,
% 54.54/34.74 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB141)) | v113(constB141))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB141) | (~v114(constB141)))),
% 54.54/34.74 inference(transitivity,[status(thm)],[24143, 24141])).
% 54.54/34.74 tff(24145,plain,
% 54.54/34.74 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB141)) | v113(constB141))),
% 54.54/34.74 inference(quant_inst,[status(thm)],[])).
% 54.54/34.74 tff(24146,plain,
% 54.54/34.74 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB141) | (~v114(constB141))),
% 54.54/34.74 inference(modus_ponens,[status(thm)],[24145, 24144])).
% 54.54/34.74 tff(24147,plain,
% 54.54/34.74 (v113(constB141)),
% 54.54/34.74 inference(unit_resolution,[status(thm)],[24146, 1049, 24140])).
% 54.54/34.74 tff(24148,assumption,(v26(constB141)), introduced(assumption)).
% 54.54/34.74 tff(24149,plain,
% 54.54/34.74 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB141))),
% 54.54/34.74 inference(quant_inst,[status(thm)],[])).
% 54.54/34.74 tff(24150,plain,
% 54.54/34.74 ($false),
% 54.54/34.74 inference(unit_resolution,[status(thm)],[24149, 828, 24148])).
% 54.54/34.74 tff(24151,plain,(~v26(constB141)), inference(lemma,lemma(discharge,[]))).
% 54.54/34.74 tff(24152,plain,
% 54.54/34.74 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB141) | v112(constB141) | (~v113(constB141)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB141) | v112(constB141) | (~v113(constB141)))),
% 54.54/34.74 inference(rewrite,[status(thm)],[])).
% 54.54/34.74 tff(24153,plain,
% 54.54/34.74 ((v26(constB141) | (~v113(constB141)) | v112(constB141)) <=> (v26(constB141) | v112(constB141) | (~v113(constB141)))),
% 54.54/34.74 inference(rewrite,[status(thm)],[])).
% 54.54/34.74 tff(24154,plain,
% 54.54/34.74 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB141) | (~v113(constB141)) | v112(constB141))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB141) | v112(constB141) | (~v113(constB141))))),
% 54.54/34.74 inference(monotonicity,[status(thm)],[24153])).
% 54.54/34.74 tff(24155,plain,
% 54.54/34.74 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB141) | (~v113(constB141)) | v112(constB141))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB141) | v112(constB141) | (~v113(constB141)))),
% 54.54/34.74 inference(transitivity,[status(thm)],[24154, 24152])).
% 54.54/34.74 tff(24156,plain,
% 54.54/34.74 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB141) | (~v113(constB141)) | v112(constB141))),
% 54.54/34.74 inference(quant_inst,[status(thm)],[])).
% 54.54/34.74 tff(24157,plain,
% 54.54/34.74 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB141) | v112(constB141) | (~v113(constB141))),
% 54.54/34.74 inference(modus_ponens,[status(thm)],[24156, 24155])).
% 54.54/34.74 tff(24158,plain,
% 54.54/34.74 (v112(constB141) | (~v113(constB141))),
% 54.54/34.74 inference(unit_resolution,[status(thm)],[24157, 1063, 24151])).
% 54.54/34.74 tff(24159,plain,
% 54.54/34.74 (v112(constB141)),
% 54.54/34.74 inference(unit_resolution,[status(thm)],[24158, 24147])).
% 54.54/34.74 tff(24160,plain,
% 54.54/34.74 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB141) | (~v112(constB141)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB141) | (~v112(constB141)))),
% 54.54/34.74 inference(rewrite,[status(thm)],[])).
% 54.54/34.74 tff(24161,plain,
% 54.54/34.74 (((~v112(constB141)) | v108(constB141)) <=> (v108(constB141) | (~v112(constB141)))),
% 54.54/34.74 inference(rewrite,[status(thm)],[])).
% 54.54/34.74 tff(24162,plain,
% 54.54/34.74 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB141)) | v108(constB141))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB141) | (~v112(constB141))))),
% 54.54/34.74 inference(monotonicity,[status(thm)],[24161])).
% 54.54/34.74 tff(24163,plain,
% 54.54/34.74 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB141)) | v108(constB141))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB141) | (~v112(constB141)))),
% 54.54/34.74 inference(transitivity,[status(thm)],[24162, 24160])).
% 54.54/34.74 tff(24164,plain,
% 54.54/34.74 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB141)) | v108(constB141))),
% 54.54/34.74 inference(quant_inst,[status(thm)],[])).
% 54.54/34.74 tff(24165,plain,
% 54.54/34.74 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB141) | (~v112(constB141))),
% 54.54/34.74 inference(modus_ponens,[status(thm)],[24164, 24163])).
% 54.54/34.74 tff(24166,plain,
% 54.54/34.74 (v108(constB141)),
% 54.54/34.74 inference(unit_resolution,[status(thm)],[24165, 1075, 24159])).
% 54.54/34.74 tff(24167,plain,
% 54.54/34.74 (nextState(constB141, constB142) <=> nextState(constB141, constB142)),
% 54.54/34.74 inference(rewrite,[status(thm)],[])).
% 54.54/34.74 tff(24168,axiom,(nextState(constB141, constB142)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_141_1')).
% 54.54/34.74 tff(24169,plain,
% 54.54/34.74 (nextState(constB141, constB142)),
% 54.54/34.74 inference(modus_ponens,[status(thm)],[24168, 24167])).
% 54.54/34.74 tff(24170,plain,
% 54.54/34.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141)))),
% 54.54/34.74 inference(rewrite,[status(thm)],[])).
% 54.54/34.74 tff(24171,plain,
% 54.54/34.74 (((~nextState(constB141, constB142)) | (~v108(constB141)) | v110(constB142)) <=> ((~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141)))),
% 54.54/34.74 inference(rewrite,[status(thm)],[])).
% 54.54/34.74 tff(24172,plain,
% 54.54/34.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB141, constB142)) | (~v108(constB141)) | v110(constB142))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141))))),
% 54.54/34.74 inference(monotonicity,[status(thm)],[24171])).
% 54.54/34.74 tff(24173,plain,
% 54.54/34.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB141, constB142)) | (~v108(constB141)) | v110(constB142))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141)))),
% 54.54/34.74 inference(transitivity,[status(thm)],[24172, 24170])).
% 54.54/34.74 tff(24174,plain,
% 54.54/34.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB141, constB142)) | (~v108(constB141)) | v110(constB142))),
% 54.54/34.74 inference(quant_inst,[status(thm)],[])).
% 54.54/34.74 tff(24175,plain,
% 54.54/34.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB141, constB142)) | v110(constB142) | (~v108(constB141))),
% 54.54/34.74 inference(modus_ponens,[status(thm)],[24174, 24173])).
% 54.54/34.74 tff(24176,plain,
% 54.54/34.74 (v110(constB142) | (~v108(constB141))),
% 54.54/34.74 inference(unit_resolution,[status(thm)],[24175, 1095, 24169])).
% 54.54/34.74 tff(24177,plain,
% 54.54/34.74 (v110(constB142)),
% 54.54/34.74 inference(unit_resolution,[status(thm)],[24176, 24166])).
% 54.54/34.74 tff(24178,plain,
% 54.54/34.74 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB141) | (~nextState(constB141, constB142)) | (~v104(constB142)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB141) | (~nextState(constB141, constB142)) | (~v104(constB142)))),
% 54.54/34.74 inference(rewrite,[status(thm)],[])).
% 54.54/34.74 tff(24179,plain,
% 54.54/34.74 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB141) | (~nextState(constB141, constB142)) | (~v104(constB142)))),
% 54.54/34.74 inference(quant_inst,[status(thm)],[])).
% 54.54/34.74 tff(24180,plain,
% 54.54/34.74 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB141) | (~nextState(constB141, constB142)) | (~v104(constB142))),
% 54.54/34.74 inference(modus_ponens,[status(thm)],[24179, 24178])).
% 54.54/34.74 tff(24181,plain,
% 54.54/34.74 (~v104(constB142)),
% 54.54/34.74 inference(unit_resolution,[status(thm)],[24180, 1113, 24169, 24061])).
% 54.54/34.74 tff(24182,plain,
% 54.54/34.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB141, constB142)) | v102(constB142) | v104(constB142))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB141, constB142)) | v102(constB142) | v104(constB142))),
% 54.54/34.74 inference(rewrite,[status(thm)],[])).
% 54.54/34.74 tff(24183,plain,
% 54.54/34.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB141, constB142)) | v102(constB142) | v104(constB142))),
% 54.54/34.74 inference(quant_inst,[status(thm)],[])).
% 54.54/34.74 tff(24184,plain,
% 54.54/34.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB141, constB142)) | v102(constB142) | v104(constB142)),
% 54.54/34.74 inference(modus_ponens,[status(thm)],[24183, 24182])).
% 54.54/34.74 tff(24185,plain,
% 54.54/34.74 (v102(constB142) | v104(constB142)),
% 54.54/34.74 inference(unit_resolution,[status(thm)],[24184, 1127, 24169])).
% 54.54/34.74 tff(24186,plain,
% 54.54/34.74 (v102(constB142)),
% 54.54/34.74 inference(unit_resolution,[status(thm)],[24185, 24181])).
% 54.54/34.74 tff(24187,plain,
% 54.54/34.74 (v1(constB142) <=> v1(constB142)),
% 54.54/34.74 inference(rewrite,[status(thm)],[])).
% 54.54/34.74 tff(24188,axiom,(v1(constB142)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_142_1')).
% 54.54/34.74 tff(24189,plain,
% 54.54/34.74 (v1(constB142)),
% 54.54/34.74 inference(modus_ponens,[status(thm)],[24188, 24187])).
% 54.54/34.74 tff(24190,plain,
% 54.54/34.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB141, constB142)) | v101(constB142) | (~v102(constB142)) | (~v1(constB142)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB141, constB142)) | v101(constB142) | (~v102(constB142)) | (~v1(constB142)))),
% 54.54/34.74 inference(rewrite,[status(thm)],[])).
% 54.54/34.74 tff(24191,plain,
% 54.54/34.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB141, constB142)) | v101(constB142) | (~v102(constB142)) | (~v1(constB142)))),
% 54.54/34.74 inference(quant_inst,[status(thm)],[])).
% 54.54/34.74 tff(24192,plain,
% 54.54/34.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB141, constB142)) | v101(constB142) | (~v102(constB142)) | (~v1(constB142))),
% 54.54/34.74 inference(modus_ponens,[status(thm)],[24191, 24190])).
% 54.54/34.74 tff(24193,plain,
% 54.54/34.74 (v101(constB142) | (~v102(constB142))),
% 54.54/34.74 inference(unit_resolution,[status(thm)],[24192, 1145, 24169, 24189])).
% 54.54/34.74 tff(24194,plain,
% 54.54/34.74 (v101(constB142)),
% 54.54/34.74 inference(unit_resolution,[status(thm)],[24193, 24186])).
% 54.54/34.74 tff(24195,plain,
% 54.54/34.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142)))),
% 54.54/34.74 inference(rewrite,[status(thm)],[])).
% 54.54/34.74 tff(24196,plain,
% 54.54/34.74 (((~nextState(constB141, constB142)) | (~v101(constB142)) | (~v110(constB142)) | v100(constB142)) <=> ((~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142)))),
% 54.54/34.74 inference(rewrite,[status(thm)],[])).
% 54.54/34.74 tff(24197,plain,
% 54.54/34.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB141, constB142)) | (~v101(constB142)) | (~v110(constB142)) | v100(constB142))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142))))),
% 54.54/34.74 inference(monotonicity,[status(thm)],[24196])).
% 54.54/34.74 tff(24198,plain,
% 54.54/34.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB141, constB142)) | (~v101(constB142)) | (~v110(constB142)) | v100(constB142))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142)))),
% 54.54/34.74 inference(transitivity,[status(thm)],[24197, 24195])).
% 54.54/34.74 tff(24199,plain,
% 54.54/34.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB141, constB142)) | (~v101(constB142)) | (~v110(constB142)) | v100(constB142))),
% 54.54/34.74 inference(quant_inst,[status(thm)],[])).
% 54.54/34.74 tff(24200,plain,
% 54.54/34.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB141, constB142)) | v100(constB142) | (~v101(constB142)) | (~v110(constB142))),
% 54.54/34.74 inference(modus_ponens,[status(thm)],[24199, 24198])).
% 54.54/34.74 tff(24201,plain,
% 54.54/34.74 (v100(constB142) | (~v101(constB142)) | (~v110(constB142))),
% 54.54/34.74 inference(unit_resolution,[status(thm)],[24200, 1160, 24169])).
% 54.54/34.74 tff(24202,plain,
% 54.54/34.74 (v100(constB142) | (~v110(constB142))),
% 54.54/34.74 inference(unit_resolution,[status(thm)],[24201, 24194])).
% 54.54/34.74 tff(24203,plain,
% 54.54/34.74 (v100(constB142)),
% 54.54/34.74 inference(unit_resolution,[status(thm)],[24202, 24177])).
% 54.54/34.74 tff(24204,plain,
% 54.54/34.74 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB141)) | v130(constB141, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB141)) | v130(constB141, 2))),
% 54.54/34.74 inference(rewrite,[status(thm)],[])).
% 54.54/34.74 tff(24205,plain,
% 54.54/34.74 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB141)) | v130(constB141, 2))),
% 54.54/34.74 inference(quant_inst,[status(thm)],[])).
% 54.54/34.74 tff(24206,plain,
% 54.54/34.74 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB141)) | v130(constB141, 2)),
% 54.54/34.74 inference(modus_ponens,[status(thm)],[24205, 24204])).
% 54.54/34.74 tff(24207,plain,
% 54.54/34.74 (v130(constB141, 2)),
% 54.54/34.74 inference(unit_resolution,[status(thm)],[24206, 2525, 24132])).
% 54.54/34.74 tff(24208,plain,
% 54.54/34.74 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB141) | (~v130(constB141, 2)) | v127(constB141, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB141) | (~v130(constB141, 2)) | v127(constB141, 2))),
% 54.54/34.74 inference(rewrite,[status(thm)],[])).
% 54.54/34.74 tff(24209,plain,
% 54.54/34.74 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB141) | (~v130(constB141, 2)) | v127(constB141, 2))),
% 54.54/34.74 inference(quant_inst,[status(thm)],[])).
% 54.54/34.74 tff(24210,plain,
% 54.54/34.74 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB141) | (~v130(constB141, 2)) | v127(constB141, 2)),
% 54.54/34.74 inference(modus_ponens,[status(thm)],[24209, 24208])).
% 54.54/34.74 tff(24211,plain,
% 54.54/34.74 ((~v130(constB141, 2)) | v127(constB141, 2)),
% 54.54/34.74 inference(unit_resolution,[status(thm)],[24210, 1981, 24151])).
% 54.54/34.74 tff(24212,plain,
% 54.54/34.74 (v127(constB141, 2)),
% 54.54/34.74 inference(unit_resolution,[status(thm)],[24211, 24207])).
% 54.54/34.74 tff(24213,plain,
% 54.54/34.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB141, constB142)) | (~v127(constB141, 2)) | v129(constB142, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB141, constB142)) | (~v127(constB141, 2)) | v129(constB142, 2))),
% 54.54/34.74 inference(rewrite,[status(thm)],[])).
% 54.54/34.75 tff(24214,plain,
% 54.54/34.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB141, constB142)) | (~v127(constB141, 2)) | v129(constB142, 2))),
% 54.54/34.75 inference(quant_inst,[status(thm)],[])).
% 54.54/34.75 tff(24215,plain,
% 54.54/34.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB141, constB142)) | (~v127(constB141, 2)) | v129(constB142, 2)),
% 54.54/34.75 inference(modus_ponens,[status(thm)],[24214, 24213])).
% 54.54/34.75 tff(24216,plain,
% 54.54/34.75 ((~v127(constB141, 2)) | v129(constB142, 2)),
% 54.54/34.75 inference(unit_resolution,[status(thm)],[24215, 1999, 24169])).
% 54.54/34.75 tff(24217,plain,
% 54.54/34.75 (v129(constB142, 2)),
% 54.54/34.75 inference(unit_resolution,[status(thm)],[24216, 24212])).
% 54.54/34.75 tff(24218,plain,
% 54.54/34.75 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB142, 2) | (~v129(constB142, 2)) | (~v100(constB142)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB142, 2) | (~v129(constB142, 2)) | (~v100(constB142)))),
% 54.54/34.75 inference(rewrite,[status(thm)],[])).
% 54.54/34.75 tff(24219,plain,
% 54.54/34.75 ((v90(constB142, 2) | (~v100(constB142)) | (~v129(constB142, 2))) <=> (v90(constB142, 2) | (~v129(constB142, 2)) | (~v100(constB142)))),
% 54.54/34.75 inference(rewrite,[status(thm)],[])).
% 54.54/34.75 tff(24220,plain,
% 54.54/34.75 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB142, 2) | (~v100(constB142)) | (~v129(constB142, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB142, 2) | (~v129(constB142, 2)) | (~v100(constB142))))),
% 54.54/34.75 inference(monotonicity,[status(thm)],[24219])).
% 54.54/34.75 tff(24221,plain,
% 54.54/34.75 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB142, 2) | (~v100(constB142)) | (~v129(constB142, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB142, 2) | (~v129(constB142, 2)) | (~v100(constB142)))),
% 54.54/34.75 inference(transitivity,[status(thm)],[24220, 24218])).
% 54.54/34.75 tff(24222,plain,
% 54.54/34.75 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB142, 2) | (~v100(constB142)) | (~v129(constB142, 2)))),
% 54.54/34.75 inference(quant_inst,[status(thm)],[])).
% 54.54/34.75 tff(24223,plain,
% 54.54/34.75 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB142, 2) | (~v129(constB142, 2)) | (~v100(constB142))),
% 54.54/34.75 inference(modus_ponens,[status(thm)],[24222, 24221])).
% 54.54/34.75 tff(24224,plain,
% 54.54/34.75 (v90(constB142, 2) | (~v100(constB142))),
% 54.54/34.75 inference(unit_resolution,[status(thm)],[24223, 2324, 24217])).
% 54.54/34.75 tff(24225,plain,
% 54.54/34.75 (v90(constB142, 2)),
% 54.54/34.75 inference(unit_resolution,[status(thm)],[24224, 24203])).
% 54.54/34.75 tff(24226,plain,
% 54.54/34.75 ((~v1(constB143)) <=> (~v1(constB143))),
% 54.54/34.75 inference(rewrite,[status(thm)],[])).
% 54.54/34.75 tff(24227,axiom,(~v1(constB143)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_143_1_1')).
% 54.54/34.75 tff(24228,plain,
% 54.54/34.75 (~v1(constB143)),
% 54.54/34.75 inference(modus_ponens,[status(thm)],[24227, 24226])).
% 54.54/34.75 tff(24229,plain,
% 54.54/34.75 (nextState(constB142, constB143) <=> nextState(constB142, constB143)),
% 54.54/34.75 inference(rewrite,[status(thm)],[])).
% 54.54/34.75 tff(24230,axiom,(nextState(constB142, constB143)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_142_1')).
% 54.54/34.75 tff(24231,plain,
% 54.54/34.75 (nextState(constB142, constB143)),
% 54.54/34.75 inference(modus_ponens,[status(thm)],[24230, 24229])).
% 54.54/34.75 tff(24232,plain,
% 54.54/34.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143)))),
% 54.54/34.75 inference(rewrite,[status(thm)],[])).
% 54.54/34.75 tff(24233,plain,
% 54.54/34.75 (((~nextState(constB142, constB143)) | (~v101(constB143)) | v1(constB143)) <=> (v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143)))),
% 54.54/34.75 inference(rewrite,[status(thm)],[])).
% 54.54/34.75 tff(24234,plain,
% 54.54/34.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB142, constB143)) | (~v101(constB143)) | v1(constB143))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143))))),
% 54.54/34.75 inference(monotonicity,[status(thm)],[24233])).
% 54.54/34.75 tff(24235,plain,
% 54.54/34.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB142, constB143)) | (~v101(constB143)) | v1(constB143))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143)))),
% 54.54/34.75 inference(transitivity,[status(thm)],[24234, 24232])).
% 54.54/34.75 tff(24236,plain,
% 54.54/34.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB142, constB143)) | (~v101(constB143)) | v1(constB143))),
% 54.54/34.75 inference(quant_inst,[status(thm)],[])).
% 54.54/34.75 tff(24237,plain,
% 54.54/34.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB143) | (~nextState(constB142, constB143)) | (~v101(constB143))),
% 54.54/34.75 inference(modus_ponens,[status(thm)],[24236, 24235])).
% 54.54/34.75 tff(24238,plain,
% 54.54/34.75 (~v101(constB143)),
% 54.54/34.75 inference(unit_resolution,[status(thm)],[24237, 873, 24231, 24228])).
% 54.54/34.75 tff(24239,plain,
% 54.54/34.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB142, constB143)) | v101(constB143) | (~v100(constB143)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB142, constB143)) | v101(constB143) | (~v100(constB143)))),
% 54.54/34.75 inference(rewrite,[status(thm)],[])).
% 54.54/34.75 tff(24240,plain,
% 54.54/34.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB142, constB143)) | v101(constB143) | (~v100(constB143)))),
% 54.54/34.75 inference(quant_inst,[status(thm)],[])).
% 54.54/34.75 tff(24241,plain,
% 54.54/34.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB142, constB143)) | v101(constB143) | (~v100(constB143))),
% 54.54/34.75 inference(modus_ponens,[status(thm)],[24240, 24239])).
% 54.54/34.75 tff(24242,plain,
% 54.54/34.75 (v101(constB143) | (~v100(constB143))),
% 54.54/34.75 inference(unit_resolution,[status(thm)],[24241, 890, 24231])).
% 54.54/34.75 tff(24243,plain,
% 54.54/34.75 (~v100(constB143)),
% 54.54/34.75 inference(unit_resolution,[status(thm)],[24242, 24238])).
% 54.54/34.75 tff(24244,plain,
% 54.54/34.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB142, 2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB142, 2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, 2))),
% 54.54/34.75 inference(rewrite,[status(thm)],[])).
% 54.54/34.75 tff(24245,plain,
% 54.54/34.75 (((~nextState(constB142, constB143)) | (~v90(constB142, 2)) | v100(constB143) | v90(constB143, 2)) <=> ((~v90(constB142, 2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, 2))),
% 54.54/34.75 inference(rewrite,[status(thm)],[])).
% 54.54/34.75 tff(24246,plain,
% 54.54/34.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB142, constB143)) | (~v90(constB142, 2)) | v100(constB143) | v90(constB143, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB142, 2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, 2)))),
% 54.54/34.75 inference(monotonicity,[status(thm)],[24245])).
% 54.54/34.75 tff(24247,plain,
% 54.54/34.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB142, constB143)) | (~v90(constB142, 2)) | v100(constB143) | v90(constB143, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB142, 2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, 2))),
% 54.54/34.75 inference(transitivity,[status(thm)],[24246, 24244])).
% 54.54/34.75 tff(24248,plain,
% 54.54/34.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB142, constB143)) | (~v90(constB142, 2)) | v100(constB143) | v90(constB143, 2))),
% 54.54/34.75 inference(quant_inst,[status(thm)],[])).
% 54.54/34.75 tff(24249,plain,
% 54.54/34.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB142, 2)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, 2)),
% 54.54/34.75 inference(modus_ponens,[status(thm)],[24248, 24247])).
% 54.54/34.75 tff(24250,plain,
% 54.54/34.75 ((~v90(constB142, 2)) | v100(constB143) | v90(constB143, 2)),
% 54.54/34.75 inference(unit_resolution,[status(thm)],[24249, 2174, 24231])).
% 54.54/34.75 tff(24251,plain,
% 54.54/34.75 ((~v90(constB142, 2)) | v90(constB143, 2)),
% 54.54/34.75 inference(unit_resolution,[status(thm)],[24250, 24243])).
% 54.54/34.75 tff(24252,plain,
% 54.54/34.75 (v90(constB143, 2)),
% 54.54/34.75 inference(unit_resolution,[status(thm)],[24251, 24225])).
% 54.54/34.75 tff(24253,plain,
% 54.54/34.75 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB141)) | (~v130(constB141, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB141)) | (~v130(constB141, 1)))),
% 54.54/34.75 inference(rewrite,[status(thm)],[])).
% 54.54/34.75 tff(24254,plain,
% 54.54/34.75 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB141)) | (~v130(constB141, 1)))),
% 54.54/34.75 inference(quant_inst,[status(thm)],[])).
% 54.54/34.75 tff(24255,plain,
% 54.54/34.75 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB141)) | (~v130(constB141, 1))),
% 54.54/34.75 inference(modus_ponens,[status(thm)],[24254, 24253])).
% 54.54/34.75 tff(24256,plain,
% 54.54/34.75 (~v130(constB141, 1)),
% 54.54/34.75 inference(unit_resolution,[status(thm)],[24255, 2581, 24132])).
% 54.54/34.75 tff(24257,plain,
% 54.54/34.75 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB141, 1)) | v26(constB141) | v130(constB141, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB141, 1)) | v26(constB141) | v130(constB141, 1))),
% 54.54/34.75 inference(rewrite,[status(thm)],[])).
% 54.54/34.75 tff(24258,plain,
% 54.54/34.75 ((v26(constB141) | v130(constB141, 1) | (~v127(constB141, 1))) <=> ((~v127(constB141, 1)) | v26(constB141) | v130(constB141, 1))),
% 54.54/34.75 inference(rewrite,[status(thm)],[])).
% 54.54/34.75 tff(24259,plain,
% 54.54/34.75 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB141) | v130(constB141, 1) | (~v127(constB141, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB141, 1)) | v26(constB141) | v130(constB141, 1)))),
% 54.54/34.75 inference(monotonicity,[status(thm)],[24258])).
% 54.54/34.75 tff(24260,plain,
% 54.54/34.75 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB141) | v130(constB141, 1) | (~v127(constB141, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB141, 1)) | v26(constB141) | v130(constB141, 1))),
% 54.54/34.75 inference(transitivity,[status(thm)],[24259, 24257])).
% 54.54/34.75 tff(24261,plain,
% 54.54/34.75 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB141) | v130(constB141, 1) | (~v127(constB141, 1)))),
% 54.54/34.75 inference(quant_inst,[status(thm)],[])).
% 54.54/34.75 tff(24262,plain,
% 54.54/34.75 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB141, 1)) | v26(constB141) | v130(constB141, 1)),
% 54.54/34.75 inference(modus_ponens,[status(thm)],[24261, 24260])).
% 54.54/34.75 tff(24263,plain,
% 54.54/34.75 ((~v127(constB141, 1)) | v130(constB141, 1)),
% 54.54/34.75 inference(unit_resolution,[status(thm)],[24262, 1276, 24151])).
% 54.54/34.75 tff(24264,plain,
% 54.54/34.75 (~v127(constB141, 1)),
% 54.54/34.75 inference(unit_resolution,[status(thm)],[24263, 24256])).
% 54.54/34.75 tff(24265,plain,
% 54.54/34.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB141, constB142)) | v127(constB141, 1) | (~v129(constB142, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB141, constB142)) | v127(constB141, 1) | (~v129(constB142, 1)))),
% 54.54/34.75 inference(rewrite,[status(thm)],[])).
% 54.54/34.75 tff(24266,plain,
% 54.54/34.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB141, constB142)) | v127(constB141, 1) | (~v129(constB142, 1)))),
% 54.54/34.75 inference(quant_inst,[status(thm)],[])).
% 54.54/34.75 tff(24267,plain,
% 54.54/34.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB141, constB142)) | v127(constB141, 1) | (~v129(constB142, 1))),
% 54.54/34.75 inference(modus_ponens,[status(thm)],[24266, 24265])).
% 54.54/34.75 tff(24268,plain,
% 54.54/34.75 (v127(constB141, 1) | (~v129(constB142, 1))),
% 54.54/34.75 inference(unit_resolution,[status(thm)],[24267, 1294, 24169])).
% 54.54/34.75 tff(24269,plain,
% 54.54/34.75 (~v129(constB142, 1)),
% 54.54/34.75 inference(unit_resolution,[status(thm)],[24268, 24264])).
% 54.54/34.75 tff(24270,plain,
% 54.54/34.75 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB142, 1)) | v129(constB142, 1) | (~v100(constB142)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB142, 1)) | v129(constB142, 1) | (~v100(constB142)))),
% 54.54/34.75 inference(rewrite,[status(thm)],[])).
% 54.54/34.75 tff(24271,plain,
% 54.54/34.75 (((~v90(constB142, 1)) | (~v100(constB142)) | v129(constB142, 1)) <=> ((~v90(constB142, 1)) | v129(constB142, 1) | (~v100(constB142)))),
% 54.54/34.75 inference(rewrite,[status(thm)],[])).
% 54.54/34.75 tff(24272,plain,
% 54.54/34.75 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB142, 1)) | (~v100(constB142)) | v129(constB142, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB142, 1)) | v129(constB142, 1) | (~v100(constB142))))),
% 54.54/34.75 inference(monotonicity,[status(thm)],[24271])).
% 54.54/34.75 tff(24273,plain,
% 54.54/34.75 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB142, 1)) | (~v100(constB142)) | v129(constB142, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB142, 1)) | v129(constB142, 1) | (~v100(constB142)))),
% 54.54/34.75 inference(transitivity,[status(thm)],[24272, 24270])).
% 54.54/34.75 tff(24274,plain,
% 54.54/34.75 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB142, 1)) | (~v100(constB142)) | v129(constB142, 1))),
% 54.54/34.75 inference(quant_inst,[status(thm)],[])).
% 54.54/34.75 tff(24275,plain,
% 54.54/34.75 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB142, 1)) | v129(constB142, 1) | (~v100(constB142))),
% 54.54/34.75 inference(modus_ponens,[status(thm)],[24274, 24273])).
% 54.54/34.75 tff(24276,plain,
% 54.54/34.75 ((~v90(constB142, 1)) | (~v100(constB142))),
% 54.54/34.75 inference(unit_resolution,[status(thm)],[24275, 1309, 24269])).
% 54.54/34.75 tff(24277,plain,
% 54.54/34.75 (~v90(constB142, 1)),
% 54.54/34.75 inference(unit_resolution,[status(thm)],[24276, 24203])).
% 54.54/34.75 tff(24278,plain,
% 54.54/34.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB142, 1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB142, 1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, 1)))),
% 54.54/34.75 inference(rewrite,[status(thm)],[])).
% 54.54/34.75 tff(24279,plain,
% 54.54/34.75 (((~nextState(constB142, constB143)) | v90(constB142, 1) | v100(constB143) | (~v90(constB143, 1))) <=> (v90(constB142, 1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, 1)))),
% 54.54/34.75 inference(rewrite,[status(thm)],[])).
% 54.54/34.75 tff(24280,plain,
% 54.54/34.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB142, constB143)) | v90(constB142, 1) | v100(constB143) | (~v90(constB143, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB142, 1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, 1))))),
% 54.54/34.75 inference(monotonicity,[status(thm)],[24279])).
% 54.54/34.75 tff(24281,plain,
% 54.54/34.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB142, constB143)) | v90(constB142, 1) | v100(constB143) | (~v90(constB143, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB142, 1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, 1)))),
% 54.54/34.75 inference(transitivity,[status(thm)],[24280, 24278])).
% 54.54/34.75 tff(24282,plain,
% 54.54/34.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB142, constB143)) | v90(constB142, 1) | v100(constB143) | (~v90(constB143, 1)))),
% 54.54/34.75 inference(quant_inst,[status(thm)],[])).
% 54.54/34.75 tff(24283,plain,
% 54.54/34.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB142, 1) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, 1))),
% 54.54/34.75 inference(modus_ponens,[status(thm)],[24282, 24281])).
% 54.54/34.75 tff(24284,plain,
% 54.54/34.75 (v90(constB142, 1) | v100(constB143) | (~v90(constB143, 1))),
% 54.54/34.75 inference(unit_resolution,[status(thm)],[24283, 926, 24231])).
% 54.54/34.75 tff(24285,plain,
% 54.54/34.75 (v90(constB142, 1) | (~v90(constB143, 1))),
% 54.54/34.75 inference(unit_resolution,[status(thm)],[24284, 24243])).
% 54.54/34.75 tff(24286,plain,
% 54.54/34.75 (~v90(constB143, 1)),
% 54.54/34.75 inference(unit_resolution,[status(thm)],[24285, 24277])).
% 54.54/34.75 tff(24287,plain,
% 54.54/34.75 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB141)) | v130(constB141, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB141)) | v130(constB141, 0))),
% 54.54/34.75 inference(rewrite,[status(thm)],[])).
% 54.54/34.75 tff(24288,plain,
% 54.54/34.75 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB141)) | v130(constB141, 0))),
% 54.54/34.75 inference(quant_inst,[status(thm)],[])).
% 54.54/34.75 tff(24289,plain,
% 54.54/34.75 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB141)) | v130(constB141, 0)),
% 54.54/34.75 inference(modus_ponens,[status(thm)],[24288, 24287])).
% 54.54/34.75 tff(24290,plain,
% 54.54/34.75 (v130(constB141, 0)),
% 54.54/34.75 inference(unit_resolution,[status(thm)],[24289, 2622, 24132])).
% 54.54/34.75 tff(24291,plain,
% 54.54/34.75 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB141) | (~v130(constB141, 0)) | v127(constB141, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB141) | (~v130(constB141, 0)) | v127(constB141, 0))),
% 54.54/34.75 inference(rewrite,[status(thm)],[])).
% 54.54/34.75 tff(24292,plain,
% 54.54/34.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB141) | (~v130(constB141, 0)) | v127(constB141, 0))),
% 54.54/34.75 inference(quant_inst,[status(thm)],[])).
% 54.54/34.75 tff(24293,plain,
% 54.54/34.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB141) | (~v130(constB141, 0)) | v127(constB141, 0)),
% 54.54/34.75 inference(modus_ponens,[status(thm)],[24292, 24291])).
% 54.54/34.75 tff(24294,plain,
% 54.54/34.75 ((~v130(constB141, 0)) | v127(constB141, 0)),
% 54.54/34.75 inference(unit_resolution,[status(thm)],[24293, 1347, 24151])).
% 54.54/34.75 tff(24295,plain,
% 54.54/34.75 (v127(constB141, 0)),
% 54.54/34.75 inference(unit_resolution,[status(thm)],[24294, 24290])).
% 54.54/34.75 tff(24296,plain,
% 54.54/34.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB141, constB142)) | (~v127(constB141, 0)) | v129(constB142, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB141, constB142)) | (~v127(constB141, 0)) | v129(constB142, 0))),
% 54.54/34.75 inference(rewrite,[status(thm)],[])).
% 54.54/34.75 tff(24297,plain,
% 54.54/34.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB141, constB142)) | (~v127(constB141, 0)) | v129(constB142, 0))),
% 54.54/34.75 inference(quant_inst,[status(thm)],[])).
% 54.54/34.75 tff(24298,plain,
% 54.54/34.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB141, constB142)) | (~v127(constB141, 0)) | v129(constB142, 0)),
% 54.54/34.75 inference(modus_ponens,[status(thm)],[24297, 24296])).
% 54.54/34.75 tff(24299,plain,
% 54.54/34.75 ((~v127(constB141, 0)) | v129(constB142, 0)),
% 54.54/34.75 inference(unit_resolution,[status(thm)],[24298, 1362, 24169])).
% 54.54/34.75 tff(24300,plain,
% 54.54/34.75 (v129(constB142, 0)),
% 54.54/34.75 inference(unit_resolution,[status(thm)],[24299, 24295])).
% 54.54/34.75 tff(24301,plain,
% 54.54/34.75 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB142, 0) | (~v129(constB142, 0)) | (~v100(constB142)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB142, 0) | (~v129(constB142, 0)) | (~v100(constB142)))),
% 54.54/34.75 inference(rewrite,[status(thm)],[])).
% 54.54/34.75 tff(24302,plain,
% 54.54/34.75 ((v90(constB142, 0) | (~v100(constB142)) | (~v129(constB142, 0))) <=> (v90(constB142, 0) | (~v129(constB142, 0)) | (~v100(constB142)))),
% 54.54/34.75 inference(rewrite,[status(thm)],[])).
% 54.54/34.75 tff(24303,plain,
% 54.54/34.75 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB142, 0) | (~v100(constB142)) | (~v129(constB142, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB142, 0) | (~v129(constB142, 0)) | (~v100(constB142))))),
% 54.54/34.75 inference(monotonicity,[status(thm)],[24302])).
% 54.54/34.75 tff(24304,plain,
% 54.54/34.75 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB142, 0) | (~v100(constB142)) | (~v129(constB142, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB142, 0) | (~v129(constB142, 0)) | (~v100(constB142)))),
% 54.54/34.75 inference(transitivity,[status(thm)],[24303, 24301])).
% 54.54/34.75 tff(24305,plain,
% 54.54/34.75 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB142, 0) | (~v100(constB142)) | (~v129(constB142, 0)))),
% 54.54/34.75 inference(quant_inst,[status(thm)],[])).
% 54.54/34.75 tff(24306,plain,
% 54.54/34.75 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB142, 0) | (~v129(constB142, 0)) | (~v100(constB142))),
% 54.54/34.75 inference(modus_ponens,[status(thm)],[24305, 24304])).
% 54.54/34.75 tff(24307,plain,
% 54.54/34.75 (v90(constB142, 0) | (~v100(constB142))),
% 54.54/34.75 inference(unit_resolution,[status(thm)],[24306, 1377, 24300])).
% 54.54/34.75 tff(24308,plain,
% 54.54/34.75 (v90(constB142, 0)),
% 54.54/34.75 inference(unit_resolution,[status(thm)],[24307, 24203])).
% 54.54/34.75 tff(24309,plain,
% 54.54/34.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB142, 0)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB142, 0)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, 0))),
% 54.54/34.75 inference(rewrite,[status(thm)],[])).
% 54.54/34.75 tff(24310,plain,
% 54.54/34.75 (((~nextState(constB142, constB143)) | (~v90(constB142, 0)) | v100(constB143) | v90(constB143, 0)) <=> ((~v90(constB142, 0)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, 0))),
% 54.54/34.75 inference(rewrite,[status(thm)],[])).
% 54.54/34.75 tff(24311,plain,
% 54.54/34.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB142, constB143)) | (~v90(constB142, 0)) | v100(constB143) | v90(constB143, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB142, 0)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, 0)))),
% 54.54/34.75 inference(monotonicity,[status(thm)],[24310])).
% 54.54/34.75 tff(24312,plain,
% 54.54/34.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB142, constB143)) | (~v90(constB142, 0)) | v100(constB143) | v90(constB143, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB142, 0)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, 0))),
% 54.54/34.75 inference(transitivity,[status(thm)],[24311, 24309])).
% 54.54/34.75 tff(24313,plain,
% 54.54/34.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB142, constB143)) | (~v90(constB142, 0)) | v100(constB143) | v90(constB143, 0))),
% 54.54/34.75 inference(quant_inst,[status(thm)],[])).
% 54.54/34.75 tff(24314,plain,
% 54.54/34.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB142, 0)) | (~nextState(constB142, constB143)) | v100(constB143) | v90(constB143, 0)),
% 54.54/34.75 inference(modus_ponens,[status(thm)],[24313, 24312])).
% 54.54/34.75 tff(24315,plain,
% 54.54/34.75 ((~v90(constB142, 0)) | v100(constB143) | v90(constB143, 0)),
% 54.54/34.75 inference(unit_resolution,[status(thm)],[24314, 1395, 24231])).
% 54.54/34.75 tff(24316,plain,
% 54.54/34.75 ((~v90(constB142, 0)) | v90(constB143, 0)),
% 54.54/34.75 inference(unit_resolution,[status(thm)],[24315, 24243])).
% 54.54/34.75 tff(24317,plain,
% 54.54/34.75 (v90(constB143, 0)),
% 54.54/34.75 inference(unit_resolution,[status(thm)],[24316, 24308])).
% 54.54/34.75 tff(24318,plain,
% 54.54/34.75 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB143, 0)) | v90(constB143, 1) | (~v90(constB143, 2)) | v124(constB143))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB143, 0)) | v90(constB143, 1) | (~v90(constB143, 2)) | v124(constB143))),
% 54.54/34.75 inference(rewrite,[status(thm)],[])).
% 54.54/34.75 tff(24319,plain,
% 54.54/34.75 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB143, 0)) | v90(constB143, 1) | (~v90(constB143, 2)) | v124(constB143))),
% 54.54/34.75 inference(quant_inst,[status(thm)],[])).
% 54.54/34.75 tff(24320,plain,
% 54.54/34.75 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB143, 0)) | v90(constB143, 1) | (~v90(constB143, 2)) | v124(constB143)),
% 54.54/34.75 inference(modus_ponens,[status(thm)],[24319, 24318])).
% 54.54/34.75 tff(24321,plain,
% 54.54/34.75 (v124(constB143)),
% 54.54/34.75 inference(unit_resolution,[status(thm)],[24320, 2663, 24317, 24286, 24252])).
% 54.54/34.75 tff(24322,plain,
% 54.54/34.75 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB143) | (~v124(constB143)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB143) | (~v124(constB143)))),
% 54.54/34.75 inference(rewrite,[status(thm)],[])).
% 54.54/34.75 tff(24323,plain,
% 54.54/34.75 (((~v124(constB143)) | v114(constB143)) <=> (v114(constB143) | (~v124(constB143)))),
% 54.54/34.75 inference(rewrite,[status(thm)],[])).
% 54.54/34.75 tff(24324,plain,
% 54.54/34.75 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB143)) | v114(constB143))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB143) | (~v124(constB143))))),
% 54.54/34.75 inference(monotonicity,[status(thm)],[24323])).
% 54.54/34.75 tff(24325,plain,
% 54.54/34.75 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB143)) | v114(constB143))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB143) | (~v124(constB143)))),
% 54.54/34.75 inference(transitivity,[status(thm)],[24324, 24322])).
% 54.54/34.75 tff(24326,plain,
% 54.54/34.75 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB143)) | v114(constB143))),
% 54.54/34.75 inference(quant_inst,[status(thm)],[])).
% 54.54/34.75 tff(24327,plain,
% 54.54/34.75 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB143) | (~v124(constB143))),
% 54.54/34.75 inference(modus_ponens,[status(thm)],[24326, 24325])).
% 54.54/34.75 tff(24328,plain,
% 54.54/34.75 (v114(constB143)),
% 54.54/34.75 inference(unit_resolution,[status(thm)],[24327, 2674, 24321])).
% 54.54/34.75 tff(24329,plain,
% 54.54/34.75 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB143)) | v113(constB143))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB143)) | v113(constB143))),
% 54.54/34.75 inference(rewrite,[status(thm)],[])).
% 54.54/34.75 tff(24330,plain,
% 54.54/34.75 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB143)) | v113(constB143))),
% 54.54/34.75 inference(quant_inst,[status(thm)],[])).
% 54.54/34.75 tff(24331,plain,
% 54.54/34.75 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB143)) | v113(constB143)),
% 54.54/34.75 inference(modus_ponens,[status(thm)],[24330, 24329])).
% 54.54/34.75 tff(24332,plain,
% 54.54/34.75 (v113(constB143)),
% 54.54/34.75 inference(unit_resolution,[status(thm)],[24331, 1049, 24328])).
% 54.54/34.75 tff(24333,assumption,(v26(constB143)), introduced(assumption)).
% 54.54/34.75 tff(24334,plain,
% 54.54/34.75 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB143))),
% 54.54/34.75 inference(quant_inst,[status(thm)],[])).
% 54.54/34.75 tff(24335,plain,
% 54.54/34.75 ($false),
% 54.54/34.75 inference(unit_resolution,[status(thm)],[24334, 828, 24333])).
% 54.54/34.75 tff(24336,plain,(~v26(constB143)), inference(lemma,lemma(discharge,[]))).
% 54.54/34.75 tff(24337,plain,
% 54.54/34.75 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB143) | (~v113(constB143)) | v112(constB143))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB143) | (~v113(constB143)) | v112(constB143))),
% 54.54/34.75 inference(rewrite,[status(thm)],[])).
% 54.54/34.75 tff(24338,plain,
% 54.54/34.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB143) | (~v113(constB143)) | v112(constB143))),
% 54.54/34.75 inference(quant_inst,[status(thm)],[])).
% 54.54/34.75 tff(24339,plain,
% 54.54/34.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB143) | (~v113(constB143)) | v112(constB143)),
% 54.54/34.75 inference(modus_ponens,[status(thm)],[24338, 24337])).
% 54.54/34.75 tff(24340,plain,
% 54.54/34.75 ((~v113(constB143)) | v112(constB143)),
% 54.54/34.75 inference(unit_resolution,[status(thm)],[24339, 1063, 24336])).
% 54.54/34.75 tff(24341,plain,
% 54.54/34.75 (v112(constB143)),
% 54.54/34.75 inference(unit_resolution,[status(thm)],[24340, 24332])).
% 54.54/34.75 tff(24342,plain,
% 54.54/34.75 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB143) | (~v112(constB143)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB143) | (~v112(constB143)))),
% 54.54/34.75 inference(rewrite,[status(thm)],[])).
% 54.54/34.75 tff(24343,plain,
% 54.54/34.75 (((~v112(constB143)) | v108(constB143)) <=> (v108(constB143) | (~v112(constB143)))),
% 54.54/34.75 inference(rewrite,[status(thm)],[])).
% 54.54/34.75 tff(24344,plain,
% 54.54/34.75 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB143)) | v108(constB143))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB143) | (~v112(constB143))))),
% 54.54/34.75 inference(monotonicity,[status(thm)],[24343])).
% 54.54/34.75 tff(24345,plain,
% 54.54/34.75 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB143)) | v108(constB143))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB143) | (~v112(constB143)))),
% 54.54/34.75 inference(transitivity,[status(thm)],[24344, 24342])).
% 54.54/34.75 tff(24346,plain,
% 54.54/34.75 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB143)) | v108(constB143))),
% 54.54/34.75 inference(quant_inst,[status(thm)],[])).
% 54.54/34.75 tff(24347,plain,
% 54.54/34.75 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB143) | (~v112(constB143))),
% 54.54/34.75 inference(modus_ponens,[status(thm)],[24346, 24345])).
% 54.54/34.75 tff(24348,plain,
% 54.54/34.75 (v108(constB143)),
% 54.54/34.75 inference(unit_resolution,[status(thm)],[24347, 1075, 24341])).
% 54.54/34.75 tff(24349,plain,
% 54.54/34.75 (nextState(constB143, constB144) <=> nextState(constB143, constB144)),
% 54.54/34.75 inference(rewrite,[status(thm)],[])).
% 54.54/34.75 tff(24350,axiom,(nextState(constB143, constB144)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_143_1')).
% 54.54/34.75 tff(24351,plain,
% 54.54/34.75 (nextState(constB143, constB144)),
% 54.54/34.75 inference(modus_ponens,[status(thm)],[24350, 24349])).
% 54.54/34.75 tff(24352,plain,
% 54.59/34.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143)))),
% 54.59/34.75 inference(rewrite,[status(thm)],[])).
% 54.59/34.75 tff(24353,plain,
% 54.59/34.75 (((~nextState(constB143, constB144)) | (~v108(constB143)) | v110(constB144)) <=> ((~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143)))),
% 54.59/34.75 inference(rewrite,[status(thm)],[])).
% 54.59/34.75 tff(24354,plain,
% 54.59/34.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB143, constB144)) | (~v108(constB143)) | v110(constB144))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143))))),
% 54.59/34.75 inference(monotonicity,[status(thm)],[24353])).
% 54.59/34.75 tff(24355,plain,
% 54.59/34.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB143, constB144)) | (~v108(constB143)) | v110(constB144))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143)))),
% 54.59/34.75 inference(transitivity,[status(thm)],[24354, 24352])).
% 54.59/34.75 tff(24356,plain,
% 54.59/34.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB143, constB144)) | (~v108(constB143)) | v110(constB144))),
% 54.59/34.75 inference(quant_inst,[status(thm)],[])).
% 54.59/34.75 tff(24357,plain,
% 54.59/34.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB143, constB144)) | v110(constB144) | (~v108(constB143))),
% 54.59/34.75 inference(modus_ponens,[status(thm)],[24356, 24355])).
% 54.59/34.75 tff(24358,plain,
% 54.59/34.75 (v110(constB144) | (~v108(constB143))),
% 54.59/34.75 inference(unit_resolution,[status(thm)],[24357, 1095, 24351])).
% 54.59/34.75 tff(24359,plain,
% 54.59/34.75 (v110(constB144)),
% 54.59/34.75 inference(unit_resolution,[status(thm)],[24358, 24348])).
% 54.59/34.75 tff(24360,plain,
% 54.59/34.75 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB143) | (~nextState(constB143, constB144)) | (~v104(constB144)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB143) | (~nextState(constB143, constB144)) | (~v104(constB144)))),
% 54.59/34.75 inference(rewrite,[status(thm)],[])).
% 54.59/34.75 tff(24361,plain,
% 54.59/34.75 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB143) | (~nextState(constB143, constB144)) | (~v104(constB144)))),
% 54.59/34.75 inference(quant_inst,[status(thm)],[])).
% 54.59/34.75 tff(24362,plain,
% 54.59/34.75 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB143) | (~nextState(constB143, constB144)) | (~v104(constB144))),
% 54.59/34.75 inference(modus_ponens,[status(thm)],[24361, 24360])).
% 54.59/34.75 tff(24363,plain,
% 54.59/34.75 (~v104(constB144)),
% 54.59/34.75 inference(unit_resolution,[status(thm)],[24362, 1113, 24351, 24228])).
% 54.59/34.75 tff(24364,plain,
% 54.59/34.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB143, constB144)) | v102(constB144) | v104(constB144))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB143, constB144)) | v102(constB144) | v104(constB144))),
% 54.59/34.75 inference(rewrite,[status(thm)],[])).
% 54.59/34.75 tff(24365,plain,
% 54.59/34.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB143, constB144)) | v102(constB144) | v104(constB144))),
% 54.59/34.75 inference(quant_inst,[status(thm)],[])).
% 54.59/34.75 tff(24366,plain,
% 54.59/34.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB143, constB144)) | v102(constB144) | v104(constB144)),
% 54.59/34.75 inference(modus_ponens,[status(thm)],[24365, 24364])).
% 54.59/34.75 tff(24367,plain,
% 54.59/34.75 (v102(constB144) | v104(constB144)),
% 54.59/34.75 inference(unit_resolution,[status(thm)],[24366, 1127, 24351])).
% 54.59/34.75 tff(24368,plain,
% 54.59/34.75 (v102(constB144)),
% 54.59/34.75 inference(unit_resolution,[status(thm)],[24367, 24363])).
% 54.59/34.75 tff(24369,plain,
% 54.59/34.75 (v1(constB144) <=> v1(constB144)),
% 54.59/34.75 inference(rewrite,[status(thm)],[])).
% 54.59/34.75 tff(24370,axiom,(v1(constB144)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_144_1')).
% 54.59/34.75 tff(24371,plain,
% 54.59/34.75 (v1(constB144)),
% 54.59/34.75 inference(modus_ponens,[status(thm)],[24370, 24369])).
% 54.59/34.75 tff(24372,plain,
% 54.59/34.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB143, constB144)) | v101(constB144) | (~v102(constB144)) | (~v1(constB144)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB143, constB144)) | v101(constB144) | (~v102(constB144)) | (~v1(constB144)))),
% 54.59/34.75 inference(rewrite,[status(thm)],[])).
% 54.59/34.75 tff(24373,plain,
% 54.59/34.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB143, constB144)) | v101(constB144) | (~v102(constB144)) | (~v1(constB144)))),
% 54.59/34.75 inference(quant_inst,[status(thm)],[])).
% 54.59/34.75 tff(24374,plain,
% 54.59/34.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB143, constB144)) | v101(constB144) | (~v102(constB144)) | (~v1(constB144))),
% 54.59/34.75 inference(modus_ponens,[status(thm)],[24373, 24372])).
% 54.59/34.75 tff(24375,plain,
% 54.59/34.75 (v101(constB144) | (~v102(constB144))),
% 54.59/34.75 inference(unit_resolution,[status(thm)],[24374, 1145, 24351, 24371])).
% 54.59/34.75 tff(24376,plain,
% 54.59/34.75 (v101(constB144)),
% 54.59/34.75 inference(unit_resolution,[status(thm)],[24375, 24368])).
% 54.59/34.75 tff(24377,plain,
% 54.59/34.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144)))),
% 54.59/34.75 inference(rewrite,[status(thm)],[])).
% 54.59/34.75 tff(24378,plain,
% 54.59/34.75 (((~nextState(constB143, constB144)) | (~v101(constB144)) | (~v110(constB144)) | v100(constB144)) <=> ((~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144)))),
% 54.59/34.75 inference(rewrite,[status(thm)],[])).
% 54.59/34.75 tff(24379,plain,
% 54.59/34.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB143, constB144)) | (~v101(constB144)) | (~v110(constB144)) | v100(constB144))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144))))),
% 54.59/34.75 inference(monotonicity,[status(thm)],[24378])).
% 54.59/34.75 tff(24380,plain,
% 54.59/34.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB143, constB144)) | (~v101(constB144)) | (~v110(constB144)) | v100(constB144))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144)))),
% 54.59/34.75 inference(transitivity,[status(thm)],[24379, 24377])).
% 54.59/34.75 tff(24381,plain,
% 54.59/34.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB143, constB144)) | (~v101(constB144)) | (~v110(constB144)) | v100(constB144))),
% 54.59/34.75 inference(quant_inst,[status(thm)],[])).
% 54.59/34.75 tff(24382,plain,
% 54.59/34.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB143, constB144)) | v100(constB144) | (~v101(constB144)) | (~v110(constB144))),
% 54.59/34.75 inference(modus_ponens,[status(thm)],[24381, 24380])).
% 54.59/34.75 tff(24383,plain,
% 54.59/34.75 (v100(constB144) | (~v101(constB144)) | (~v110(constB144))),
% 54.59/34.75 inference(unit_resolution,[status(thm)],[24382, 1160, 24351])).
% 54.59/34.75 tff(24384,plain,
% 54.59/34.75 (v100(constB144) | (~v110(constB144))),
% 54.59/34.75 inference(unit_resolution,[status(thm)],[24383, 24376])).
% 54.59/34.75 tff(24385,plain,
% 54.59/34.75 (v100(constB144)),
% 54.59/34.75 inference(unit_resolution,[status(thm)],[24384, 24359])).
% 54.59/34.75 tff(24386,plain,
% 54.59/34.75 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB143)) | v130(constB143, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB143)) | v130(constB143, 2))),
% 54.59/34.75 inference(rewrite,[status(thm)],[])).
% 54.59/34.75 tff(24387,plain,
% 54.59/34.75 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB143)) | v130(constB143, 2))),
% 54.59/34.75 inference(quant_inst,[status(thm)],[])).
% 54.59/34.75 tff(24388,plain,
% 54.59/34.75 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB143)) | v130(constB143, 2)),
% 54.59/34.75 inference(modus_ponens,[status(thm)],[24387, 24386])).
% 54.59/34.75 tff(24389,plain,
% 54.59/34.75 (v130(constB143, 2)),
% 54.59/34.75 inference(unit_resolution,[status(thm)],[24388, 2741, 24321])).
% 54.59/34.75 tff(24390,plain,
% 54.59/34.75 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB143) | (~v130(constB143, 2)) | v127(constB143, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB143) | (~v130(constB143, 2)) | v127(constB143, 2))),
% 54.59/34.76 inference(rewrite,[status(thm)],[])).
% 54.59/34.76 tff(24391,plain,
% 54.59/34.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB143) | (~v130(constB143, 2)) | v127(constB143, 2))),
% 54.59/34.76 inference(quant_inst,[status(thm)],[])).
% 54.59/34.76 tff(24392,plain,
% 54.59/34.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB143) | (~v130(constB143, 2)) | v127(constB143, 2)),
% 54.59/34.76 inference(modus_ponens,[status(thm)],[24391, 24390])).
% 54.59/34.76 tff(24393,plain,
% 54.59/34.76 ((~v130(constB143, 2)) | v127(constB143, 2)),
% 54.59/34.76 inference(unit_resolution,[status(thm)],[24392, 1981, 24336])).
% 54.59/34.76 tff(24394,plain,
% 54.59/34.76 (v127(constB143, 2)),
% 54.59/34.76 inference(unit_resolution,[status(thm)],[24393, 24389])).
% 54.59/34.76 tff(24395,plain,
% 54.59/34.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB143, constB144)) | (~v127(constB143, 2)) | v129(constB144, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB143, constB144)) | (~v127(constB143, 2)) | v129(constB144, 2))),
% 54.59/34.76 inference(rewrite,[status(thm)],[])).
% 54.59/34.76 tff(24396,plain,
% 54.59/34.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB143, constB144)) | (~v127(constB143, 2)) | v129(constB144, 2))),
% 54.59/34.76 inference(quant_inst,[status(thm)],[])).
% 54.59/34.76 tff(24397,plain,
% 54.59/34.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB143, constB144)) | (~v127(constB143, 2)) | v129(constB144, 2)),
% 54.59/34.76 inference(modus_ponens,[status(thm)],[24396, 24395])).
% 54.59/34.76 tff(24398,plain,
% 54.59/34.76 ((~v127(constB143, 2)) | v129(constB144, 2)),
% 54.59/34.76 inference(unit_resolution,[status(thm)],[24397, 1999, 24351])).
% 54.59/34.76 tff(24399,plain,
% 54.59/34.76 (v129(constB144, 2)),
% 54.59/34.76 inference(unit_resolution,[status(thm)],[24398, 24394])).
% 54.59/34.76 tff(24400,plain,
% 54.59/34.76 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB144, 2) | (~v129(constB144, 2)) | (~v100(constB144)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB144, 2) | (~v129(constB144, 2)) | (~v100(constB144)))),
% 54.59/34.76 inference(rewrite,[status(thm)],[])).
% 54.59/34.76 tff(24401,plain,
% 54.59/34.76 ((v90(constB144, 2) | (~v100(constB144)) | (~v129(constB144, 2))) <=> (v90(constB144, 2) | (~v129(constB144, 2)) | (~v100(constB144)))),
% 54.59/34.76 inference(rewrite,[status(thm)],[])).
% 54.59/34.76 tff(24402,plain,
% 54.59/34.76 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB144, 2) | (~v100(constB144)) | (~v129(constB144, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB144, 2) | (~v129(constB144, 2)) | (~v100(constB144))))),
% 54.59/34.76 inference(monotonicity,[status(thm)],[24401])).
% 54.59/34.76 tff(24403,plain,
% 54.59/34.76 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB144, 2) | (~v100(constB144)) | (~v129(constB144, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB144, 2) | (~v129(constB144, 2)) | (~v100(constB144)))),
% 54.59/34.76 inference(transitivity,[status(thm)],[24402, 24400])).
% 54.59/34.76 tff(24404,plain,
% 54.59/34.76 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB144, 2) | (~v100(constB144)) | (~v129(constB144, 2)))),
% 54.59/34.76 inference(quant_inst,[status(thm)],[])).
% 54.59/34.76 tff(24405,plain,
% 54.59/34.76 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB144, 2) | (~v129(constB144, 2)) | (~v100(constB144))),
% 54.59/34.76 inference(modus_ponens,[status(thm)],[24404, 24403])).
% 54.59/34.76 tff(24406,plain,
% 54.59/34.76 (v90(constB144, 2) | (~v100(constB144))),
% 54.59/34.76 inference(unit_resolution,[status(thm)],[24405, 2324, 24399])).
% 54.59/34.76 tff(24407,plain,
% 54.59/34.76 (v90(constB144, 2)),
% 54.59/34.76 inference(unit_resolution,[status(thm)],[24406, 24385])).
% 54.59/34.76 tff(24408,plain,
% 54.59/34.76 ((~v1(constB145)) <=> (~v1(constB145))),
% 54.59/34.76 inference(rewrite,[status(thm)],[])).
% 54.59/34.76 tff(24409,axiom,(~v1(constB145)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_145_1_1')).
% 54.59/34.76 tff(24410,plain,
% 54.59/34.76 (~v1(constB145)),
% 54.59/34.76 inference(modus_ponens,[status(thm)],[24409, 24408])).
% 54.59/34.76 tff(24411,plain,
% 54.59/34.76 (nextState(constB144, constB145) <=> nextState(constB144, constB145)),
% 54.59/34.76 inference(rewrite,[status(thm)],[])).
% 54.59/34.76 tff(24412,axiom,(nextState(constB144, constB145)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_144_1')).
% 54.59/34.76 tff(24413,plain,
% 54.59/34.76 (nextState(constB144, constB145)),
% 54.59/34.76 inference(modus_ponens,[status(thm)],[24412, 24411])).
% 54.59/34.76 tff(24414,plain,
% 54.59/34.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145)))),
% 54.59/34.76 inference(rewrite,[status(thm)],[])).
% 54.59/34.76 tff(24415,plain,
% 54.59/34.76 (((~nextState(constB144, constB145)) | (~v101(constB145)) | v1(constB145)) <=> (v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145)))),
% 54.59/34.76 inference(rewrite,[status(thm)],[])).
% 54.59/34.76 tff(24416,plain,
% 54.59/34.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB144, constB145)) | (~v101(constB145)) | v1(constB145))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145))))),
% 54.59/34.76 inference(monotonicity,[status(thm)],[24415])).
% 54.59/34.76 tff(24417,plain,
% 54.59/34.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB144, constB145)) | (~v101(constB145)) | v1(constB145))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145)))),
% 54.59/34.76 inference(transitivity,[status(thm)],[24416, 24414])).
% 54.59/34.76 tff(24418,plain,
% 54.59/34.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB144, constB145)) | (~v101(constB145)) | v1(constB145))),
% 54.59/34.76 inference(quant_inst,[status(thm)],[])).
% 54.59/34.76 tff(24419,plain,
% 54.59/34.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB145) | (~nextState(constB144, constB145)) | (~v101(constB145))),
% 54.59/34.76 inference(modus_ponens,[status(thm)],[24418, 24417])).
% 54.59/34.76 tff(24420,plain,
% 54.59/34.76 (~v101(constB145)),
% 54.59/34.76 inference(unit_resolution,[status(thm)],[24419, 873, 24413, 24410])).
% 54.59/34.76 tff(24421,plain,
% 54.59/34.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB144, constB145)) | v101(constB145) | (~v100(constB145)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB144, constB145)) | v101(constB145) | (~v100(constB145)))),
% 54.59/34.76 inference(rewrite,[status(thm)],[])).
% 54.59/34.76 tff(24422,plain,
% 54.59/34.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB144, constB145)) | v101(constB145) | (~v100(constB145)))),
% 54.59/34.76 inference(quant_inst,[status(thm)],[])).
% 54.59/34.76 tff(24423,plain,
% 54.59/34.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB144, constB145)) | v101(constB145) | (~v100(constB145))),
% 54.59/34.76 inference(modus_ponens,[status(thm)],[24422, 24421])).
% 54.59/34.76 tff(24424,plain,
% 54.59/34.76 (v101(constB145) | (~v100(constB145))),
% 54.59/34.76 inference(unit_resolution,[status(thm)],[24423, 890, 24413])).
% 54.59/34.76 tff(24425,plain,
% 54.59/34.76 (~v100(constB145)),
% 54.59/34.76 inference(unit_resolution,[status(thm)],[24424, 24420])).
% 54.59/34.76 tff(24426,plain,
% 54.59/34.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB144, 2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB144, 2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, 2))),
% 54.59/34.76 inference(rewrite,[status(thm)],[])).
% 54.59/34.76 tff(24427,plain,
% 54.59/34.76 (((~nextState(constB144, constB145)) | (~v90(constB144, 2)) | v100(constB145) | v90(constB145, 2)) <=> ((~v90(constB144, 2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, 2))),
% 54.59/34.76 inference(rewrite,[status(thm)],[])).
% 54.59/34.76 tff(24428,plain,
% 54.59/34.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB144, constB145)) | (~v90(constB144, 2)) | v100(constB145) | v90(constB145, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB144, 2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, 2)))),
% 54.59/34.76 inference(monotonicity,[status(thm)],[24427])).
% 54.59/34.76 tff(24429,plain,
% 54.59/34.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB144, constB145)) | (~v90(constB144, 2)) | v100(constB145) | v90(constB145, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB144, 2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, 2))),
% 54.59/34.76 inference(transitivity,[status(thm)],[24428, 24426])).
% 54.59/34.76 tff(24430,plain,
% 54.59/34.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB144, constB145)) | (~v90(constB144, 2)) | v100(constB145) | v90(constB145, 2))),
% 54.59/34.76 inference(quant_inst,[status(thm)],[])).
% 54.59/34.76 tff(24431,plain,
% 54.59/34.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB144, 2)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, 2)),
% 54.59/34.76 inference(modus_ponens,[status(thm)],[24430, 24429])).
% 54.59/34.76 tff(24432,plain,
% 54.59/34.76 ((~v90(constB144, 2)) | v100(constB145) | v90(constB145, 2)),
% 54.59/34.76 inference(unit_resolution,[status(thm)],[24431, 2174, 24413])).
% 54.59/34.76 tff(24433,plain,
% 54.59/34.76 ((~v90(constB144, 2)) | v90(constB145, 2)),
% 54.59/34.76 inference(unit_resolution,[status(thm)],[24432, 24425])).
% 54.59/34.76 tff(24434,plain,
% 54.59/34.76 (v90(constB145, 2)),
% 54.59/34.76 inference(unit_resolution,[status(thm)],[24433, 24407])).
% 54.59/34.76 tff(24435,plain,
% 54.59/34.76 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB143)) | v130(constB143, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB143)) | v130(constB143, 1))),
% 54.59/34.76 inference(rewrite,[status(thm)],[])).
% 54.59/34.76 tff(24436,plain,
% 54.59/34.76 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB143)) | v130(constB143, 1))),
% 54.59/34.76 inference(quant_inst,[status(thm)],[])).
% 54.59/34.76 tff(24437,plain,
% 54.59/34.76 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB143)) | v130(constB143, 1)),
% 54.59/34.76 inference(modus_ponens,[status(thm)],[24436, 24435])).
% 54.59/34.76 tff(24438,plain,
% 54.59/34.76 (v130(constB143, 1)),
% 54.59/34.76 inference(unit_resolution,[status(thm)],[24437, 2808, 24321])).
% 54.59/34.76 tff(24439,plain,
% 54.59/34.76 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB143) | (~v130(constB143, 1)) | v127(constB143, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB143) | (~v130(constB143, 1)) | v127(constB143, 1))),
% 54.59/34.76 inference(rewrite,[status(thm)],[])).
% 54.59/34.76 tff(24440,plain,
% 54.59/34.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB143) | (~v130(constB143, 1)) | v127(constB143, 1))),
% 54.59/34.76 inference(quant_inst,[status(thm)],[])).
% 54.59/34.76 tff(24441,plain,
% 54.59/34.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB143) | (~v130(constB143, 1)) | v127(constB143, 1)),
% 54.59/34.76 inference(modus_ponens,[status(thm)],[24440, 24439])).
% 54.59/34.76 tff(24442,plain,
% 54.59/34.76 ((~v130(constB143, 1)) | v127(constB143, 1)),
% 54.59/34.76 inference(unit_resolution,[status(thm)],[24441, 1593, 24336])).
% 54.59/34.76 tff(24443,plain,
% 54.59/34.76 (v127(constB143, 1)),
% 54.59/34.76 inference(unit_resolution,[status(thm)],[24442, 24438])).
% 54.59/34.76 tff(24444,plain,
% 54.59/34.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB143, constB144)) | (~v127(constB143, 1)) | v129(constB144, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB143, constB144)) | (~v127(constB143, 1)) | v129(constB144, 1))),
% 54.59/34.76 inference(rewrite,[status(thm)],[])).
% 54.59/34.76 tff(24445,plain,
% 54.59/34.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB143, constB144)) | (~v127(constB143, 1)) | v129(constB144, 1))),
% 54.59/34.76 inference(quant_inst,[status(thm)],[])).
% 54.59/34.76 tff(24446,plain,
% 54.59/34.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB143, constB144)) | (~v127(constB143, 1)) | v129(constB144, 1)),
% 54.59/34.76 inference(modus_ponens,[status(thm)],[24445, 24444])).
% 54.59/34.76 tff(24447,plain,
% 54.59/34.76 ((~v127(constB143, 1)) | v129(constB144, 1)),
% 54.59/34.76 inference(unit_resolution,[status(thm)],[24446, 1608, 24351])).
% 54.59/34.76 tff(24448,plain,
% 54.59/34.76 (v129(constB144, 1)),
% 54.59/34.76 inference(unit_resolution,[status(thm)],[24447, 24443])).
% 54.59/34.76 tff(24449,plain,
% 54.59/34.76 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB144, 1) | (~v129(constB144, 1)) | (~v100(constB144)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB144, 1) | (~v129(constB144, 1)) | (~v100(constB144)))),
% 54.59/34.76 inference(rewrite,[status(thm)],[])).
% 54.59/34.76 tff(24450,plain,
% 54.59/34.76 ((v90(constB144, 1) | (~v100(constB144)) | (~v129(constB144, 1))) <=> (v90(constB144, 1) | (~v129(constB144, 1)) | (~v100(constB144)))),
% 54.59/34.76 inference(rewrite,[status(thm)],[])).
% 54.59/34.76 tff(24451,plain,
% 54.59/34.76 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB144, 1) | (~v100(constB144)) | (~v129(constB144, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB144, 1) | (~v129(constB144, 1)) | (~v100(constB144))))),
% 54.59/34.76 inference(monotonicity,[status(thm)],[24450])).
% 54.59/34.76 tff(24452,plain,
% 54.59/34.76 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB144, 1) | (~v100(constB144)) | (~v129(constB144, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB144, 1) | (~v129(constB144, 1)) | (~v100(constB144)))),
% 54.59/34.76 inference(transitivity,[status(thm)],[24451, 24449])).
% 54.59/34.76 tff(24453,plain,
% 54.59/34.76 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB144, 1) | (~v100(constB144)) | (~v129(constB144, 1)))),
% 54.59/34.76 inference(quant_inst,[status(thm)],[])).
% 54.59/34.76 tff(24454,plain,
% 54.59/34.76 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB144, 1) | (~v129(constB144, 1)) | (~v100(constB144))),
% 54.59/34.76 inference(modus_ponens,[status(thm)],[24453, 24452])).
% 54.59/34.76 tff(24455,plain,
% 54.59/34.76 (v90(constB144, 1) | (~v100(constB144))),
% 54.59/34.76 inference(unit_resolution,[status(thm)],[24454, 1623, 24448])).
% 54.59/34.76 tff(24456,plain,
% 54.59/34.76 (v90(constB144, 1)),
% 54.59/34.76 inference(unit_resolution,[status(thm)],[24455, 24385])).
% 54.59/34.76 tff(24457,plain,
% 54.59/34.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB144, 1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB144, 1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, 1))),
% 54.59/34.76 inference(rewrite,[status(thm)],[])).
% 54.59/34.76 tff(24458,plain,
% 54.59/34.76 (((~nextState(constB144, constB145)) | (~v90(constB144, 1)) | v100(constB145) | v90(constB145, 1)) <=> ((~v90(constB144, 1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, 1))),
% 54.59/34.76 inference(rewrite,[status(thm)],[])).
% 54.59/34.76 tff(24459,plain,
% 54.59/34.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB144, constB145)) | (~v90(constB144, 1)) | v100(constB145) | v90(constB145, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB144, 1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, 1)))),
% 54.59/34.76 inference(monotonicity,[status(thm)],[24458])).
% 54.59/34.76 tff(24460,plain,
% 54.59/34.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB144, constB145)) | (~v90(constB144, 1)) | v100(constB145) | v90(constB145, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB144, 1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, 1))),
% 54.59/34.76 inference(transitivity,[status(thm)],[24459, 24457])).
% 54.59/34.76 tff(24461,plain,
% 54.59/34.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB144, constB145)) | (~v90(constB144, 1)) | v100(constB145) | v90(constB145, 1))),
% 54.59/34.76 inference(quant_inst,[status(thm)],[])).
% 54.59/34.76 tff(24462,plain,
% 54.59/34.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB144, 1)) | (~nextState(constB144, constB145)) | v100(constB145) | v90(constB145, 1)),
% 54.59/34.76 inference(modus_ponens,[status(thm)],[24461, 24460])).
% 54.59/34.76 tff(24463,plain,
% 54.59/34.76 ((~v90(constB144, 1)) | v100(constB145) | v90(constB145, 1)),
% 54.59/34.76 inference(unit_resolution,[status(thm)],[24462, 1641, 24413])).
% 54.59/34.76 tff(24464,plain,
% 54.59/34.76 ((~v90(constB144, 1)) | v90(constB145, 1)),
% 54.59/34.76 inference(unit_resolution,[status(thm)],[24463, 24425])).
% 54.59/34.76 tff(24465,plain,
% 54.59/34.76 (v90(constB145, 1)),
% 54.59/34.76 inference(unit_resolution,[status(thm)],[24464, 24456])).
% 54.59/34.76 tff(24466,plain,
% 54.59/34.76 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB143)) | (~v130(constB143, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB143)) | (~v130(constB143, 0)))),
% 54.59/34.76 inference(rewrite,[status(thm)],[])).
% 54.59/34.76 tff(24467,plain,
% 54.59/34.76 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB143)) | (~v130(constB143, 0)))),
% 54.59/34.76 inference(quant_inst,[status(thm)],[])).
% 54.59/34.76 tff(24468,plain,
% 54.59/34.76 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB143)) | (~v130(constB143, 0))),
% 54.59/34.76 inference(modus_ponens,[status(thm)],[24467, 24466])).
% 54.59/34.76 tff(24469,plain,
% 54.59/34.76 (~v130(constB143, 0)),
% 54.59/34.76 inference(unit_resolution,[status(thm)],[24468, 3274, 24321])).
% 54.59/34.76 tff(24470,plain,
% 54.59/34.76 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB143, 0)) | v26(constB143) | v130(constB143, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB143, 0)) | v26(constB143) | v130(constB143, 0))),
% 54.59/34.76 inference(rewrite,[status(thm)],[])).
% 54.59/34.76 tff(24471,plain,
% 54.59/34.76 ((v26(constB143) | v130(constB143, 0) | (~v127(constB143, 0))) <=> ((~v127(constB143, 0)) | v26(constB143) | v130(constB143, 0))),
% 54.59/34.76 inference(rewrite,[status(thm)],[])).
% 54.59/34.76 tff(24472,plain,
% 54.59/34.76 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB143) | v130(constB143, 0) | (~v127(constB143, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB143, 0)) | v26(constB143) | v130(constB143, 0)))),
% 54.59/34.76 inference(monotonicity,[status(thm)],[24471])).
% 54.59/34.76 tff(24473,plain,
% 54.59/34.76 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB143) | v130(constB143, 0) | (~v127(constB143, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB143, 0)) | v26(constB143) | v130(constB143, 0))),
% 54.59/34.76 inference(transitivity,[status(thm)],[24472, 24470])).
% 54.59/34.76 tff(24474,plain,
% 54.59/34.76 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB143) | v130(constB143, 0) | (~v127(constB143, 0)))),
% 54.59/34.76 inference(quant_inst,[status(thm)],[])).
% 54.59/34.76 tff(24475,plain,
% 54.59/34.76 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB143, 0)) | v26(constB143) | v130(constB143, 0)),
% 54.59/34.76 inference(modus_ponens,[status(thm)],[24474, 24473])).
% 54.59/34.76 tff(24476,plain,
% 54.59/34.76 ((~v127(constB143, 0)) | v130(constB143, 0)),
% 54.59/34.76 inference(unit_resolution,[status(thm)],[24475, 1671, 24336])).
% 54.59/34.76 tff(24477,plain,
% 54.59/34.76 (~v127(constB143, 0)),
% 54.59/34.76 inference(unit_resolution,[status(thm)],[24476, 24469])).
% 54.59/34.76 tff(24478,plain,
% 54.59/34.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB143, constB144)) | v127(constB143, 0) | (~v129(constB144, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB143, constB144)) | v127(constB143, 0) | (~v129(constB144, 0)))),
% 54.59/34.76 inference(rewrite,[status(thm)],[])).
% 54.59/34.76 tff(24479,plain,
% 54.59/34.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB143, constB144)) | v127(constB143, 0) | (~v129(constB144, 0)))),
% 54.59/34.76 inference(quant_inst,[status(thm)],[])).
% 54.59/34.76 tff(24480,plain,
% 54.59/34.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB143, constB144)) | v127(constB143, 0) | (~v129(constB144, 0))),
% 54.59/34.76 inference(modus_ponens,[status(thm)],[24479, 24478])).
% 54.59/34.76 tff(24481,plain,
% 54.59/34.76 (v127(constB143, 0) | (~v129(constB144, 0))),
% 54.59/34.76 inference(unit_resolution,[status(thm)],[24480, 1689, 24351])).
% 54.59/34.76 tff(24482,plain,
% 54.59/34.76 (~v129(constB144, 0)),
% 54.59/34.76 inference(unit_resolution,[status(thm)],[24481, 24477])).
% 54.59/34.76 tff(24483,plain,
% 54.59/34.76 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB144, 0)) | v129(constB144, 0) | (~v100(constB144)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB144, 0)) | v129(constB144, 0) | (~v100(constB144)))),
% 54.59/34.76 inference(rewrite,[status(thm)],[])).
% 54.59/34.76 tff(24484,plain,
% 54.59/34.76 (((~v90(constB144, 0)) | (~v100(constB144)) | v129(constB144, 0)) <=> ((~v90(constB144, 0)) | v129(constB144, 0) | (~v100(constB144)))),
% 54.59/34.76 inference(rewrite,[status(thm)],[])).
% 54.59/34.76 tff(24485,plain,
% 54.59/34.76 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB144, 0)) | (~v100(constB144)) | v129(constB144, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB144, 0)) | v129(constB144, 0) | (~v100(constB144))))),
% 54.59/34.76 inference(monotonicity,[status(thm)],[24484])).
% 54.59/34.76 tff(24486,plain,
% 54.59/34.76 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB144, 0)) | (~v100(constB144)) | v129(constB144, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB144, 0)) | v129(constB144, 0) | (~v100(constB144)))),
% 54.59/34.76 inference(transitivity,[status(thm)],[24485, 24483])).
% 54.59/34.76 tff(24487,plain,
% 54.59/34.76 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB144, 0)) | (~v100(constB144)) | v129(constB144, 0))),
% 54.59/34.76 inference(quant_inst,[status(thm)],[])).
% 54.59/34.76 tff(24488,plain,
% 54.59/34.76 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB144, 0)) | v129(constB144, 0) | (~v100(constB144))),
% 54.59/34.76 inference(modus_ponens,[status(thm)],[24487, 24486])).
% 54.59/34.76 tff(24489,plain,
% 54.59/34.76 ((~v90(constB144, 0)) | (~v100(constB144))),
% 54.59/34.76 inference(unit_resolution,[status(thm)],[24488, 1704, 24482])).
% 54.59/34.76 tff(24490,plain,
% 54.59/34.76 (~v90(constB144, 0)),
% 54.59/34.76 inference(unit_resolution,[status(thm)],[24489, 24385])).
% 54.59/34.76 tff(24491,plain,
% 54.59/34.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB144, 0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB144, 0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, 0)))),
% 54.59/34.76 inference(rewrite,[status(thm)],[])).
% 54.59/34.76 tff(24492,plain,
% 54.59/34.76 (((~nextState(constB144, constB145)) | v90(constB144, 0) | v100(constB145) | (~v90(constB145, 0))) <=> (v90(constB144, 0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, 0)))),
% 54.59/34.76 inference(rewrite,[status(thm)],[])).
% 54.59/34.76 tff(24493,plain,
% 54.59/34.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB144, constB145)) | v90(constB144, 0) | v100(constB145) | (~v90(constB145, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB144, 0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, 0))))),
% 54.59/34.76 inference(monotonicity,[status(thm)],[24492])).
% 54.59/34.76 tff(24494,plain,
% 54.59/34.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB144, constB145)) | v90(constB144, 0) | v100(constB145) | (~v90(constB145, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB144, 0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, 0)))),
% 54.59/34.76 inference(transitivity,[status(thm)],[24493, 24491])).
% 54.59/34.76 tff(24495,plain,
% 54.59/34.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB144, constB145)) | v90(constB144, 0) | v100(constB145) | (~v90(constB145, 0)))),
% 54.59/34.76 inference(quant_inst,[status(thm)],[])).
% 54.59/34.76 tff(24496,plain,
% 54.59/34.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB144, 0) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, 0))),
% 54.59/34.76 inference(modus_ponens,[status(thm)],[24495, 24494])).
% 54.59/34.76 tff(24497,plain,
% 54.59/34.76 (v90(constB144, 0) | v100(constB145) | (~v90(constB145, 0))),
% 54.59/34.76 inference(unit_resolution,[status(thm)],[24496, 947, 24413])).
% 54.59/34.76 tff(24498,plain,
% 54.59/34.76 (v90(constB144, 0) | (~v90(constB145, 0))),
% 54.59/34.76 inference(unit_resolution,[status(thm)],[24497, 24425])).
% 54.59/34.76 tff(24499,plain,
% 54.59/34.76 (~v90(constB145, 0)),
% 54.59/34.76 inference(unit_resolution,[status(thm)],[24498, 24490])).
% 54.59/34.76 tff(24500,plain,
% 54.59/34.76 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB145, 0) | (~v90(constB145, 1)) | (~v90(constB145, 2)) | v125(constB145))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB145, 0) | (~v90(constB145, 1)) | (~v90(constB145, 2)) | v125(constB145))),
% 54.59/34.76 inference(rewrite,[status(thm)],[])).
% 54.59/34.76 tff(24501,plain,
% 54.59/34.76 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB145, 0) | (~v90(constB145, 1)) | (~v90(constB145, 2)) | v125(constB145))),
% 54.59/34.76 inference(quant_inst,[status(thm)],[])).
% 54.59/34.76 tff(24502,plain,
% 54.59/34.76 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB145, 0) | (~v90(constB145, 1)) | (~v90(constB145, 2)) | v125(constB145)),
% 54.59/34.76 inference(modus_ponens,[status(thm)],[24501, 24500])).
% 54.59/34.76 tff(24503,plain,
% 54.59/34.76 (v125(constB145)),
% 54.59/34.76 inference(unit_resolution,[status(thm)],[24502, 2279, 24499, 24465, 24434])).
% 54.59/34.76 tff(24504,plain,
% 54.59/34.76 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB145)) | v113(constB145))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB145)) | v113(constB145))),
% 54.59/34.76 inference(rewrite,[status(thm)],[])).
% 54.59/34.76 tff(24505,plain,
% 54.59/34.76 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB145)) | v113(constB145))),
% 54.59/34.76 inference(quant_inst,[status(thm)],[])).
% 54.59/34.76 tff(24506,plain,
% 54.59/34.76 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB145)) | v113(constB145)),
% 54.59/34.76 inference(modus_ponens,[status(thm)],[24505, 24504])).
% 54.59/34.76 tff(24507,plain,
% 54.59/34.76 (v113(constB145)),
% 54.59/34.76 inference(unit_resolution,[status(thm)],[24506, 2262, 24503])).
% 54.59/34.76 tff(24508,assumption,(v26(constB145)), introduced(assumption)).
% 54.59/34.76 tff(24509,plain,
% 54.59/34.76 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB145))),
% 54.59/34.76 inference(quant_inst,[status(thm)],[])).
% 54.59/34.76 tff(24510,plain,
% 54.59/34.76 ($false),
% 54.59/34.76 inference(unit_resolution,[status(thm)],[24509, 828, 24508])).
% 54.59/34.76 tff(24511,plain,(~v26(constB145)), inference(lemma,lemma(discharge,[]))).
% 54.59/34.76 tff(24512,plain,
% 54.59/34.76 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB145) | (~v113(constB145)) | v112(constB145))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB145) | (~v113(constB145)) | v112(constB145))),
% 54.59/34.76 inference(rewrite,[status(thm)],[])).
% 54.59/34.76 tff(24513,plain,
% 54.59/34.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB145) | (~v113(constB145)) | v112(constB145))),
% 54.59/34.76 inference(quant_inst,[status(thm)],[])).
% 54.59/34.76 tff(24514,plain,
% 54.59/34.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB145) | (~v113(constB145)) | v112(constB145)),
% 54.59/34.76 inference(modus_ponens,[status(thm)],[24513, 24512])).
% 54.59/34.76 tff(24515,plain,
% 54.59/34.76 ((~v113(constB145)) | v112(constB145)),
% 54.59/34.76 inference(unit_resolution,[status(thm)],[24514, 1063, 24511])).
% 54.59/34.76 tff(24516,plain,
% 54.59/34.76 (v112(constB145)),
% 54.59/34.76 inference(unit_resolution,[status(thm)],[24515, 24507])).
% 54.59/34.76 tff(24517,plain,
% 54.59/34.76 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB145) | (~v112(constB145)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB145) | (~v112(constB145)))),
% 54.59/34.76 inference(rewrite,[status(thm)],[])).
% 54.59/34.76 tff(24518,plain,
% 54.59/34.76 (((~v112(constB145)) | v108(constB145)) <=> (v108(constB145) | (~v112(constB145)))),
% 54.59/34.76 inference(rewrite,[status(thm)],[])).
% 54.59/34.76 tff(24519,plain,
% 54.59/34.76 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB145)) | v108(constB145))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB145) | (~v112(constB145))))),
% 54.59/34.76 inference(monotonicity,[status(thm)],[24518])).
% 54.59/34.76 tff(24520,plain,
% 54.59/34.76 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB145)) | v108(constB145))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB145) | (~v112(constB145)))),
% 54.59/34.76 inference(transitivity,[status(thm)],[24519, 24517])).
% 54.59/34.76 tff(24521,plain,
% 54.59/34.76 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB145)) | v108(constB145))),
% 54.59/34.76 inference(quant_inst,[status(thm)],[])).
% 54.59/34.76 tff(24522,plain,
% 54.59/34.76 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB145) | (~v112(constB145))),
% 54.59/34.76 inference(modus_ponens,[status(thm)],[24521, 24520])).
% 54.59/34.76 tff(24523,plain,
% 54.59/34.76 (v108(constB145)),
% 54.59/34.76 inference(unit_resolution,[status(thm)],[24522, 1075, 24516])).
% 54.59/34.76 tff(24524,plain,
% 54.59/34.76 (nextState(constB145, constB146) <=> nextState(constB145, constB146)),
% 54.59/34.76 inference(rewrite,[status(thm)],[])).
% 54.59/34.76 tff(24525,axiom,(nextState(constB145, constB146)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_145_1')).
% 54.59/34.76 tff(24526,plain,
% 54.59/34.76 (nextState(constB145, constB146)),
% 54.59/34.76 inference(modus_ponens,[status(thm)],[24525, 24524])).
% 54.59/34.76 tff(24527,plain,
% 54.59/34.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145)))),
% 54.59/34.76 inference(rewrite,[status(thm)],[])).
% 54.59/34.76 tff(24528,plain,
% 54.59/34.76 (((~nextState(constB145, constB146)) | (~v108(constB145)) | v110(constB146)) <=> ((~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145)))),
% 54.59/34.76 inference(rewrite,[status(thm)],[])).
% 54.59/34.76 tff(24529,plain,
% 54.59/34.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB145, constB146)) | (~v108(constB145)) | v110(constB146))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145))))),
% 54.59/34.76 inference(monotonicity,[status(thm)],[24528])).
% 54.59/34.76 tff(24530,plain,
% 54.59/34.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB145, constB146)) | (~v108(constB145)) | v110(constB146))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145)))),
% 54.59/34.76 inference(transitivity,[status(thm)],[24529, 24527])).
% 54.59/34.76 tff(24531,plain,
% 54.59/34.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB145, constB146)) | (~v108(constB145)) | v110(constB146))),
% 54.59/34.76 inference(quant_inst,[status(thm)],[])).
% 54.59/34.76 tff(24532,plain,
% 54.59/34.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB145, constB146)) | v110(constB146) | (~v108(constB145))),
% 54.59/34.76 inference(modus_ponens,[status(thm)],[24531, 24530])).
% 54.59/34.76 tff(24533,plain,
% 54.59/34.76 (v110(constB146) | (~v108(constB145))),
% 54.59/34.76 inference(unit_resolution,[status(thm)],[24532, 1095, 24526])).
% 54.59/34.76 tff(24534,plain,
% 54.59/34.76 (v110(constB146)),
% 54.59/34.76 inference(unit_resolution,[status(thm)],[24533, 24523])).
% 54.59/34.76 tff(24535,plain,
% 54.59/34.76 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB145) | (~nextState(constB145, constB146)) | (~v104(constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB145) | (~nextState(constB145, constB146)) | (~v104(constB146)))),
% 54.59/34.76 inference(rewrite,[status(thm)],[])).
% 54.59/34.76 tff(24536,plain,
% 54.59/34.76 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB145) | (~nextState(constB145, constB146)) | (~v104(constB146)))),
% 54.59/34.76 inference(quant_inst,[status(thm)],[])).
% 54.59/34.76 tff(24537,plain,
% 54.59/34.76 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB145) | (~nextState(constB145, constB146)) | (~v104(constB146))),
% 54.59/34.76 inference(modus_ponens,[status(thm)],[24536, 24535])).
% 54.59/34.76 tff(24538,plain,
% 54.59/34.76 (~v104(constB146)),
% 54.59/34.76 inference(unit_resolution,[status(thm)],[24537, 1113, 24526, 24410])).
% 54.59/34.76 tff(24539,plain,
% 54.59/34.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB145, constB146)) | v102(constB146) | v104(constB146))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB145, constB146)) | v102(constB146) | v104(constB146))),
% 54.59/34.76 inference(rewrite,[status(thm)],[])).
% 54.59/34.76 tff(24540,plain,
% 54.59/34.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB145, constB146)) | v102(constB146) | v104(constB146))),
% 54.59/34.76 inference(quant_inst,[status(thm)],[])).
% 54.59/34.76 tff(24541,plain,
% 54.59/34.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB145, constB146)) | v102(constB146) | v104(constB146)),
% 54.59/34.76 inference(modus_ponens,[status(thm)],[24540, 24539])).
% 54.59/34.76 tff(24542,plain,
% 54.59/34.76 (v102(constB146) | v104(constB146)),
% 54.59/34.76 inference(unit_resolution,[status(thm)],[24541, 1127, 24526])).
% 54.59/34.76 tff(24543,plain,
% 54.59/34.76 (v102(constB146)),
% 54.59/34.76 inference(unit_resolution,[status(thm)],[24542, 24538])).
% 54.59/34.76 tff(24544,plain,
% 54.59/34.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB145, constB146)) | v101(constB146) | (~v102(constB146)) | (~v1(constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB145, constB146)) | v101(constB146) | (~v102(constB146)) | (~v1(constB146)))),
% 54.59/34.76 inference(rewrite,[status(thm)],[])).
% 54.59/34.76 tff(24545,plain,
% 54.59/34.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB145, constB146)) | v101(constB146) | (~v102(constB146)) | (~v1(constB146)))),
% 54.59/34.76 inference(quant_inst,[status(thm)],[])).
% 54.59/34.76 tff(24546,plain,
% 54.59/34.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB145, constB146)) | v101(constB146) | (~v102(constB146)) | (~v1(constB146))),
% 54.59/34.76 inference(modus_ponens,[status(thm)],[24545, 24544])).
% 54.59/34.76 tff(24547,plain,
% 54.59/34.76 (v101(constB146) | (~v102(constB146))),
% 54.59/34.76 inference(unit_resolution,[status(thm)],[24546, 1145, 24526, 464])).
% 54.59/34.76 tff(24548,plain,
% 54.59/34.76 (v101(constB146)),
% 54.59/34.76 inference(unit_resolution,[status(thm)],[24547, 24543])).
% 54.59/34.76 tff(24549,plain,
% 54.59/34.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146)))),
% 54.59/34.76 inference(rewrite,[status(thm)],[])).
% 54.59/34.76 tff(24550,plain,
% 54.59/34.76 (((~nextState(constB145, constB146)) | (~v101(constB146)) | (~v110(constB146)) | v100(constB146)) <=> ((~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146)))),
% 54.59/34.76 inference(rewrite,[status(thm)],[])).
% 54.59/34.76 tff(24551,plain,
% 54.59/34.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB145, constB146)) | (~v101(constB146)) | (~v110(constB146)) | v100(constB146))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146))))),
% 54.59/34.76 inference(monotonicity,[status(thm)],[24550])).
% 54.59/34.76 tff(24552,plain,
% 54.59/34.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB145, constB146)) | (~v101(constB146)) | (~v110(constB146)) | v100(constB146))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146)))),
% 54.59/34.76 inference(transitivity,[status(thm)],[24551, 24549])).
% 54.59/34.76 tff(24553,plain,
% 54.59/34.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB145, constB146)) | (~v101(constB146)) | (~v110(constB146)) | v100(constB146))),
% 54.59/34.76 inference(quant_inst,[status(thm)],[])).
% 54.59/34.76 tff(24554,plain,
% 54.59/34.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB145, constB146)) | v100(constB146) | (~v101(constB146)) | (~v110(constB146))),
% 54.59/34.76 inference(modus_ponens,[status(thm)],[24553, 24552])).
% 54.59/34.76 tff(24555,plain,
% 54.59/34.76 (v100(constB146) | (~v101(constB146)) | (~v110(constB146))),
% 54.59/34.76 inference(unit_resolution,[status(thm)],[24554, 1160, 24526])).
% 54.59/34.76 tff(24556,plain,
% 54.59/34.76 (v100(constB146) | (~v110(constB146))),
% 54.59/34.76 inference(unit_resolution,[status(thm)],[24555, 24548])).
% 54.59/34.76 tff(24557,plain,
% 54.59/34.76 (v100(constB146)),
% 54.59/34.76 inference(unit_resolution,[status(thm)],[24556, 24534])).
% 54.59/34.76 tff(24558,plain,
% 54.59/34.76 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB145)) | (~v90(constB145, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB145)) | (~v90(constB145, 2)))),
% 54.59/34.76 inference(rewrite,[status(thm)],[])).
% 54.59/34.76 tff(24559,plain,
% 54.59/34.76 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB145)) | (~v90(constB145, 2)))),
% 54.59/34.76 inference(quant_inst,[status(thm)],[])).
% 54.59/34.76 tff(24560,plain,
% 54.59/34.76 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB145)) | (~v90(constB145, 2))),
% 54.59/34.76 inference(modus_ponens,[status(thm)],[24559, 24558])).
% 54.59/34.76 tff(24561,plain,
% 54.59/34.76 (~v121(constB145)),
% 54.59/34.76 inference(unit_resolution,[status(thm)],[24560, 2857, 24434])).
% 54.59/34.76 tff(24562,plain,
% 54.59/34.76 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB145)) | (~v90(constB145, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB145)) | (~v90(constB145, 1)))),
% 54.59/34.76 inference(rewrite,[status(thm)],[])).
% 54.59/34.76 tff(24563,plain,
% 54.59/34.76 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB145)) | (~v90(constB145, 1)))),
% 54.59/34.76 inference(quant_inst,[status(thm)],[])).
% 54.59/34.76 tff(24564,plain,
% 54.59/34.76 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB145)) | (~v90(constB145, 1))),
% 54.59/34.76 inference(modus_ponens,[status(thm)],[24563, 24562])).
% 54.59/34.76 tff(24565,plain,
% 54.59/34.76 (~v119(constB145)),
% 54.59/34.76 inference(unit_resolution,[status(thm)],[24564, 2868, 24465])).
% 54.59/34.76 tff(24566,plain,
% 54.59/34.76 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB145)) | (~v90(constB145, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB145)) | (~v90(constB145, 1)))),
% 54.59/34.76 inference(rewrite,[status(thm)],[])).
% 54.59/34.76 tff(24567,plain,
% 54.59/34.76 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB145)) | (~v90(constB145, 1)))),
% 54.59/34.76 inference(quant_inst,[status(thm)],[])).
% 54.59/34.76 tff(24568,plain,
% 54.59/34.76 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB145)) | (~v90(constB145, 1))),
% 54.59/34.76 inference(modus_ponens,[status(thm)],[24567, 24566])).
% 54.59/34.76 tff(24569,plain,
% 54.59/34.76 (~v120(constB145)),
% 54.59/34.76 inference(unit_resolution,[status(thm)],[24568, 2846, 24465])).
% 54.59/34.76 tff(24570,plain,
% 54.59/34.76 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB145)) | (~v90(constB145, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB145)) | (~v90(constB145, 1)))),
% 54.59/34.76 inference(rewrite,[status(thm)],[])).
% 54.59/34.76 tff(24571,plain,
% 54.59/34.76 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB145)) | (~v90(constB145, 1)))),
% 54.59/34.76 inference(quant_inst,[status(thm)],[])).
% 54.59/34.76 tff(24572,plain,
% 54.59/34.76 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB145)) | (~v90(constB145, 1))),
% 54.59/34.76 inference(modus_ponens,[status(thm)],[24571, 24570])).
% 54.59/34.76 tff(24573,plain,
% 54.59/34.76 (~v124(constB145)),
% 54.59/34.76 inference(unit_resolution,[status(thm)],[24572, 2890, 24465])).
% 54.59/34.76 tff(24574,plain,
% 54.59/34.76 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB145)) | (~v90(constB145, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB145)) | (~v90(constB145, 1)))),
% 54.59/34.76 inference(rewrite,[status(thm)],[])).
% 54.59/34.76 tff(24575,plain,
% 54.59/34.76 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB145)) | (~v90(constB145, 1)))),
% 54.59/34.76 inference(quant_inst,[status(thm)],[])).
% 54.59/34.76 tff(24576,plain,
% 54.59/34.76 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB145)) | (~v90(constB145, 1))),
% 54.59/34.76 inference(modus_ponens,[status(thm)],[24575, 24574])).
% 54.59/34.76 tff(24577,plain,
% 54.59/34.76 (~v123(constB145)),
% 54.59/34.76 inference(unit_resolution,[status(thm)],[24576, 2879, 24465])).
% 54.59/34.76 tff(24578,plain,
% 54.59/34.76 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB145)) | (~v90(constB145, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB145)) | (~v90(constB145, 2)))),
% 54.59/34.76 inference(rewrite,[status(thm)],[])).
% 54.59/34.76 tff(24579,plain,
% 54.59/34.76 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB145)) | (~v90(constB145, 2)))),
% 54.59/34.76 inference(quant_inst,[status(thm)],[])).
% 54.59/34.77 tff(24580,plain,
% 54.59/34.77 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB145)) | (~v90(constB145, 2))),
% 54.59/34.77 inference(modus_ponens,[status(thm)],[24579, 24578])).
% 54.59/34.77 tff(24581,plain,
% 54.59/34.77 (~v122(constB145)),
% 54.59/34.77 inference(unit_resolution,[status(thm)],[24580, 2797, 24434])).
% 54.59/34.77 tff(24582,plain,
% 54.59/34.77 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | v130(constB145, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | v130(constB145, 0))),
% 54.59/34.77 inference(rewrite,[status(thm)],[])).
% 54.59/34.77 tff(24583,plain,
% 54.59/34.77 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | v130(constB145, 0))),
% 54.59/34.77 inference(quant_inst,[status(thm)],[])).
% 54.59/34.77 tff(24584,plain,
% 54.59/34.77 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | v130(constB145, 0)),
% 54.59/34.77 inference(modus_ponens,[status(thm)],[24583, 24582])).
% 54.59/34.77 tff(24585,plain,
% 54.59/34.77 (v130(constB145, 0)),
% 54.59/34.77 inference(unit_resolution,[status(thm)],[24584, 3413, 24581, 24577, 24573, 24569, 24565, 24561])).
% 54.59/34.77 tff(24586,plain,
% 54.59/34.77 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB145) | (~v130(constB145, 0)) | v127(constB145, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB145) | (~v130(constB145, 0)) | v127(constB145, 0))),
% 54.59/34.77 inference(rewrite,[status(thm)],[])).
% 54.59/34.77 tff(24587,plain,
% 54.59/34.77 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB145) | (~v130(constB145, 0)) | v127(constB145, 0))),
% 54.59/34.77 inference(quant_inst,[status(thm)],[])).
% 54.59/34.77 tff(24588,plain,
% 54.59/34.77 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB145) | (~v130(constB145, 0)) | v127(constB145, 0)),
% 54.59/34.77 inference(modus_ponens,[status(thm)],[24587, 24586])).
% 54.59/34.77 tff(24589,plain,
% 54.59/34.77 ((~v130(constB145, 0)) | v127(constB145, 0)),
% 54.59/34.77 inference(unit_resolution,[status(thm)],[24588, 1347, 24511])).
% 54.59/34.77 tff(24590,plain,
% 54.59/34.77 (v127(constB145, 0)),
% 54.59/34.77 inference(unit_resolution,[status(thm)],[24589, 24585])).
% 54.59/34.77 tff(24591,plain,
% 54.59/34.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB145, constB146)) | (~v127(constB145, 0)) | v129(constB146, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB145, constB146)) | (~v127(constB145, 0)) | v129(constB146, 0))),
% 54.59/34.77 inference(rewrite,[status(thm)],[])).
% 54.59/34.77 tff(24592,plain,
% 54.59/34.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB145, constB146)) | (~v127(constB145, 0)) | v129(constB146, 0))),
% 54.59/34.77 inference(quant_inst,[status(thm)],[])).
% 54.59/34.77 tff(24593,plain,
% 54.59/34.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB145, constB146)) | (~v127(constB145, 0)) | v129(constB146, 0)),
% 54.59/34.77 inference(modus_ponens,[status(thm)],[24592, 24591])).
% 54.59/34.77 tff(24594,plain,
% 54.59/34.77 ((~v127(constB145, 0)) | v129(constB146, 0)),
% 54.59/34.77 inference(unit_resolution,[status(thm)],[24593, 1362, 24526])).
% 54.59/34.77 tff(24595,plain,
% 54.59/34.77 (v129(constB146, 0)),
% 54.59/34.77 inference(unit_resolution,[status(thm)],[24594, 24590])).
% 54.59/34.77 tff(24596,plain,
% 54.59/34.77 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB146, 0) | (~v129(constB146, 0)) | (~v100(constB146)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB146, 0) | (~v129(constB146, 0)) | (~v100(constB146)))),
% 54.59/34.77 inference(rewrite,[status(thm)],[])).
% 54.59/34.77 tff(24597,plain,
% 54.59/34.77 ((v90(constB146, 0) | (~v100(constB146)) | (~v129(constB146, 0))) <=> (v90(constB146, 0) | (~v129(constB146, 0)) | (~v100(constB146)))),
% 54.59/34.77 inference(rewrite,[status(thm)],[])).
% 54.59/34.77 tff(24598,plain,
% 54.59/34.77 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB146, 0) | (~v100(constB146)) | (~v129(constB146, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB146, 0) | (~v129(constB146, 0)) | (~v100(constB146))))),
% 54.59/34.77 inference(monotonicity,[status(thm)],[24597])).
% 54.59/34.77 tff(24599,plain,
% 54.59/34.77 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB146, 0) | (~v100(constB146)) | (~v129(constB146, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB146, 0) | (~v129(constB146, 0)) | (~v100(constB146)))),
% 54.59/34.77 inference(transitivity,[status(thm)],[24598, 24596])).
% 54.59/34.77 tff(24600,plain,
% 54.59/34.77 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB146, 0) | (~v100(constB146)) | (~v129(constB146, 0)))),
% 54.59/34.77 inference(quant_inst,[status(thm)],[])).
% 54.59/34.77 tff(24601,plain,
% 54.59/34.77 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB146, 0) | (~v129(constB146, 0)) | (~v100(constB146))),
% 54.59/34.77 inference(modus_ponens,[status(thm)],[24600, 24599])).
% 54.59/34.77 tff(24602,plain,
% 54.59/34.77 (v90(constB146, 0) | (~v100(constB146))),
% 54.59/34.77 inference(unit_resolution,[status(thm)],[24601, 1377, 24595])).
% 54.59/34.77 tff(24603,plain,
% 54.59/34.77 (v90(constB146, 0)),
% 54.59/34.77 inference(unit_resolution,[status(thm)],[24602, 24557])).
% 54.59/34.77 tff(24604,plain,
% 54.59/34.77 ((~v1(constB147)) <=> (~v1(constB147))),
% 54.59/34.77 inference(rewrite,[status(thm)],[])).
% 54.59/34.77 tff(24605,axiom,(~v1(constB147)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_147_1_1')).
% 54.59/34.77 tff(24606,plain,
% 54.59/34.77 (~v1(constB147)),
% 54.59/34.77 inference(modus_ponens,[status(thm)],[24605, 24604])).
% 54.59/34.77 tff(24607,plain,
% 54.59/34.77 (nextState(constB146, constB147) <=> nextState(constB146, constB147)),
% 54.59/34.77 inference(rewrite,[status(thm)],[])).
% 54.59/34.77 tff(24608,axiom,(nextState(constB146, constB147)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_146_1')).
% 54.59/34.77 tff(24609,plain,
% 54.59/34.77 (nextState(constB146, constB147)),
% 54.59/34.77 inference(modus_ponens,[status(thm)],[24608, 24607])).
% 54.59/34.77 tff(24610,plain,
% 54.59/34.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147)))),
% 54.59/34.77 inference(rewrite,[status(thm)],[])).
% 54.59/34.77 tff(24611,plain,
% 54.59/34.77 (((~nextState(constB146, constB147)) | (~v101(constB147)) | v1(constB147)) <=> (v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147)))),
% 54.59/34.77 inference(rewrite,[status(thm)],[])).
% 54.59/34.77 tff(24612,plain,
% 54.59/34.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB146, constB147)) | (~v101(constB147)) | v1(constB147))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147))))),
% 54.59/34.77 inference(monotonicity,[status(thm)],[24611])).
% 54.59/34.77 tff(24613,plain,
% 54.59/34.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB146, constB147)) | (~v101(constB147)) | v1(constB147))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147)))),
% 54.59/34.77 inference(transitivity,[status(thm)],[24612, 24610])).
% 54.59/34.77 tff(24614,plain,
% 54.59/34.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB146, constB147)) | (~v101(constB147)) | v1(constB147))),
% 54.59/34.77 inference(quant_inst,[status(thm)],[])).
% 54.59/34.77 tff(24615,plain,
% 54.59/34.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB147) | (~nextState(constB146, constB147)) | (~v101(constB147))),
% 54.59/34.77 inference(modus_ponens,[status(thm)],[24614, 24613])).
% 54.59/34.77 tff(24616,plain,
% 54.59/34.77 (~v101(constB147)),
% 54.59/34.77 inference(unit_resolution,[status(thm)],[24615, 873, 24609, 24606])).
% 54.59/34.77 tff(24617,plain,
% 54.59/34.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB146, constB147)) | v101(constB147) | (~v100(constB147)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB146, constB147)) | v101(constB147) | (~v100(constB147)))),
% 54.59/34.77 inference(rewrite,[status(thm)],[])).
% 54.59/34.77 tff(24618,plain,
% 54.59/34.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB146, constB147)) | v101(constB147) | (~v100(constB147)))),
% 54.59/34.77 inference(quant_inst,[status(thm)],[])).
% 54.59/34.77 tff(24619,plain,
% 54.59/34.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB146, constB147)) | v101(constB147) | (~v100(constB147))),
% 54.59/34.77 inference(modus_ponens,[status(thm)],[24618, 24617])).
% 54.59/34.77 tff(24620,plain,
% 54.59/34.77 (v101(constB147) | (~v100(constB147))),
% 54.59/34.77 inference(unit_resolution,[status(thm)],[24619, 890, 24609])).
% 54.59/34.77 tff(24621,plain,
% 54.59/34.77 (~v100(constB147)),
% 54.59/34.77 inference(unit_resolution,[status(thm)],[24620, 24616])).
% 54.59/34.77 tff(24622,plain,
% 54.59/34.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB146, 0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB146, 0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, 0))),
% 54.59/34.77 inference(rewrite,[status(thm)],[])).
% 54.59/34.77 tff(24623,plain,
% 54.59/34.77 (((~nextState(constB146, constB147)) | (~v90(constB146, 0)) | v100(constB147) | v90(constB147, 0)) <=> ((~v90(constB146, 0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, 0))),
% 54.59/34.77 inference(rewrite,[status(thm)],[])).
% 54.59/34.77 tff(24624,plain,
% 54.59/34.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB146, constB147)) | (~v90(constB146, 0)) | v100(constB147) | v90(constB147, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB146, 0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, 0)))),
% 54.59/34.77 inference(monotonicity,[status(thm)],[24623])).
% 54.59/34.77 tff(24625,plain,
% 54.59/34.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB146, constB147)) | (~v90(constB146, 0)) | v100(constB147) | v90(constB147, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB146, 0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, 0))),
% 54.59/34.77 inference(transitivity,[status(thm)],[24624, 24622])).
% 54.59/34.77 tff(24626,plain,
% 54.59/34.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB146, constB147)) | (~v90(constB146, 0)) | v100(constB147) | v90(constB147, 0))),
% 54.59/34.77 inference(quant_inst,[status(thm)],[])).
% 54.59/34.77 tff(24627,plain,
% 54.59/34.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB146, 0)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, 0)),
% 54.59/34.77 inference(modus_ponens,[status(thm)],[24626, 24625])).
% 54.59/34.77 tff(24628,plain,
% 54.59/34.77 ((~v90(constB146, 0)) | v100(constB147) | v90(constB147, 0)),
% 54.59/34.77 inference(unit_resolution,[status(thm)],[24627, 1395, 24609])).
% 54.59/34.77 tff(24629,plain,
% 54.59/34.77 ((~v90(constB146, 0)) | v90(constB147, 0)),
% 54.59/34.77 inference(unit_resolution,[status(thm)],[24628, 24621])).
% 54.59/34.77 tff(24630,plain,
% 54.59/34.77 (v90(constB147, 0)),
% 54.59/34.77 inference(unit_resolution,[status(thm)],[24629, 24603])).
% 54.59/34.77 tff(24631,plain,
% 54.59/34.77 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, 2)))),
% 54.59/34.77 inference(rewrite,[status(thm)],[])).
% 54.59/34.77 tff(24632,plain,
% 54.59/34.77 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, 2)))),
% 54.59/34.77 inference(quant_inst,[status(thm)],[])).
% 54.59/34.77 tff(24633,plain,
% 54.59/34.77 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, 2))),
% 54.59/34.77 inference(modus_ponens,[status(thm)],[24632, 24631])).
% 54.59/34.77 tff(24634,plain,
% 54.59/34.77 (~v130(constB145, 2)),
% 54.59/34.77 inference(unit_resolution,[status(thm)],[24633, 2904, 24581, 24577, 24573, 24569, 24565, 24561])).
% 54.59/34.77 tff(24635,plain,
% 54.59/34.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB145, 2)) | v26(constB145) | v130(constB145, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB145, 2)) | v26(constB145) | v130(constB145, 2))),
% 54.59/34.77 inference(rewrite,[status(thm)],[])).
% 54.59/34.77 tff(24636,plain,
% 54.59/34.77 ((v26(constB145) | v130(constB145, 2) | (~v127(constB145, 2))) <=> ((~v127(constB145, 2)) | v26(constB145) | v130(constB145, 2))),
% 54.59/34.77 inference(rewrite,[status(thm)],[])).
% 54.59/34.77 tff(24637,plain,
% 54.59/34.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB145) | v130(constB145, 2) | (~v127(constB145, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB145, 2)) | v26(constB145) | v130(constB145, 2)))),
% 54.59/34.77 inference(monotonicity,[status(thm)],[24636])).
% 54.59/34.77 tff(24638,plain,
% 54.59/34.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB145) | v130(constB145, 2) | (~v127(constB145, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB145, 2)) | v26(constB145) | v130(constB145, 2))),
% 54.59/34.77 inference(transitivity,[status(thm)],[24637, 24635])).
% 54.59/34.77 tff(24639,plain,
% 54.59/34.77 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB145) | v130(constB145, 2) | (~v127(constB145, 2)))),
% 54.59/34.77 inference(quant_inst,[status(thm)],[])).
% 54.59/34.77 tff(24640,plain,
% 54.59/34.77 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB145, 2)) | v26(constB145) | v130(constB145, 2)),
% 54.59/34.77 inference(modus_ponens,[status(thm)],[24639, 24638])).
% 54.59/34.77 tff(24641,plain,
% 54.59/34.77 ((~v127(constB145, 2)) | v130(constB145, 2)),
% 54.59/34.77 inference(unit_resolution,[status(thm)],[24640, 1190, 24511])).
% 54.59/34.77 tff(24642,plain,
% 54.59/34.77 (~v127(constB145, 2)),
% 54.59/34.77 inference(unit_resolution,[status(thm)],[24641, 24634])).
% 54.59/34.77 tff(24643,plain,
% 54.59/34.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB145, constB146)) | v127(constB145, 2) | (~v129(constB146, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB145, constB146)) | v127(constB145, 2) | (~v129(constB146, 2)))),
% 54.59/34.77 inference(rewrite,[status(thm)],[])).
% 54.59/34.77 tff(24644,plain,
% 54.59/34.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB145, constB146)) | v127(constB145, 2) | (~v129(constB146, 2)))),
% 54.59/34.77 inference(quant_inst,[status(thm)],[])).
% 54.59/34.77 tff(24645,plain,
% 54.59/34.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB145, constB146)) | v127(constB145, 2) | (~v129(constB146, 2))),
% 54.59/34.77 inference(modus_ponens,[status(thm)],[24644, 24643])).
% 54.59/34.77 tff(24646,plain,
% 54.59/34.77 (v127(constB145, 2) | (~v129(constB146, 2))),
% 54.59/34.77 inference(unit_resolution,[status(thm)],[24645, 1208, 24526])).
% 54.59/34.77 tff(24647,plain,
% 54.59/34.77 (~v129(constB146, 2)),
% 54.59/34.77 inference(unit_resolution,[status(thm)],[24646, 24642])).
% 54.59/34.77 tff(24648,plain,
% 54.59/34.77 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB146, 2)) | v129(constB146, 2) | (~v100(constB146)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB146, 2)) | v129(constB146, 2) | (~v100(constB146)))),
% 54.59/34.77 inference(rewrite,[status(thm)],[])).
% 54.59/34.77 tff(24649,plain,
% 54.59/34.77 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB146, 2)) | v129(constB146, 2) | (~v100(constB146)))),
% 54.59/34.77 inference(quant_inst,[status(thm)],[])).
% 54.59/34.77 tff(24650,plain,
% 54.59/34.77 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB146, 2)) | v129(constB146, 2) | (~v100(constB146))),
% 54.59/34.77 inference(modus_ponens,[status(thm)],[24649, 24648])).
% 54.59/34.77 tff(24651,plain,
% 54.59/34.77 ((~v90(constB146, 2)) | (~v100(constB146))),
% 54.59/34.77 inference(unit_resolution,[status(thm)],[24650, 1223, 24647])).
% 54.59/34.77 tff(24652,plain,
% 54.59/34.77 (~v90(constB146, 2)),
% 54.59/34.77 inference(unit_resolution,[status(thm)],[24651, 24557])).
% 54.59/34.77 tff(24653,plain,
% 54.59/34.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB146, 2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB146, 2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, 2)))),
% 54.59/34.77 inference(rewrite,[status(thm)],[])).
% 54.59/34.77 tff(24654,plain,
% 54.59/34.77 (((~nextState(constB146, constB147)) | v90(constB146, 2) | v100(constB147) | (~v90(constB147, 2))) <=> (v90(constB146, 2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, 2)))),
% 54.59/34.77 inference(rewrite,[status(thm)],[])).
% 54.59/34.77 tff(24655,plain,
% 54.59/34.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB146, constB147)) | v90(constB146, 2) | v100(constB147) | (~v90(constB147, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB146, 2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, 2))))),
% 54.59/34.77 inference(monotonicity,[status(thm)],[24654])).
% 54.59/34.77 tff(24656,plain,
% 54.59/34.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB146, constB147)) | v90(constB146, 2) | v100(constB147) | (~v90(constB147, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB146, 2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, 2)))),
% 54.59/34.77 inference(transitivity,[status(thm)],[24655, 24653])).
% 54.59/34.77 tff(24657,plain,
% 54.59/34.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB146, constB147)) | v90(constB146, 2) | v100(constB147) | (~v90(constB147, 2)))),
% 54.59/34.77 inference(quant_inst,[status(thm)],[])).
% 54.59/34.77 tff(24658,plain,
% 54.59/34.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB146, 2) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, 2))),
% 54.59/34.77 inference(modus_ponens,[status(thm)],[24657, 24656])).
% 54.59/34.77 tff(24659,plain,
% 54.59/34.77 (v90(constB146, 2) | v100(constB147) | (~v90(constB147, 2))),
% 54.59/34.77 inference(unit_resolution,[status(thm)],[24658, 905, 24609])).
% 54.59/34.77 tff(24660,plain,
% 54.59/34.77 (v90(constB146, 2) | (~v90(constB147, 2))),
% 54.59/34.77 inference(unit_resolution,[status(thm)],[24659, 24621])).
% 54.59/34.77 tff(24661,plain,
% 54.59/34.77 (~v90(constB147, 2)),
% 54.59/34.77 inference(unit_resolution,[status(thm)],[24660, 24652])).
% 54.59/34.77 tff(24662,plain,
% 54.59/34.77 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, 1)))),
% 54.59/34.77 inference(rewrite,[status(thm)],[])).
% 54.59/34.77 tff(24663,plain,
% 54.59/34.77 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, 1)))),
% 54.59/34.77 inference(quant_inst,[status(thm)],[])).
% 54.59/34.77 tff(24664,plain,
% 54.59/34.77 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v123(constB145) | v124(constB145) | (~v130(constB145, 1))),
% 54.59/34.77 inference(modus_ponens,[status(thm)],[24663, 24662])).
% 54.59/34.77 tff(24665,plain,
% 54.59/34.77 (~v130(constB145, 1)),
% 54.59/34.77 inference(unit_resolution,[status(thm)],[24664, 3309, 24581, 24577, 24573, 24569, 24565, 24561])).
% 54.59/34.77 tff(24666,plain,
% 54.59/34.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB145, 1)) | v26(constB145) | v130(constB145, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB145, 1)) | v26(constB145) | v130(constB145, 1))),
% 54.59/34.77 inference(rewrite,[status(thm)],[])).
% 54.59/34.77 tff(24667,plain,
% 54.59/34.77 ((v26(constB145) | v130(constB145, 1) | (~v127(constB145, 1))) <=> ((~v127(constB145, 1)) | v26(constB145) | v130(constB145, 1))),
% 54.59/34.77 inference(rewrite,[status(thm)],[])).
% 54.59/34.77 tff(24668,plain,
% 54.59/34.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB145) | v130(constB145, 1) | (~v127(constB145, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB145, 1)) | v26(constB145) | v130(constB145, 1)))),
% 54.59/34.77 inference(monotonicity,[status(thm)],[24667])).
% 54.59/34.77 tff(24669,plain,
% 54.59/34.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB145) | v130(constB145, 1) | (~v127(constB145, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB145, 1)) | v26(constB145) | v130(constB145, 1))),
% 54.59/34.77 inference(transitivity,[status(thm)],[24668, 24666])).
% 54.59/34.77 tff(24670,plain,
% 54.59/34.77 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB145) | v130(constB145, 1) | (~v127(constB145, 1)))),
% 54.59/34.77 inference(quant_inst,[status(thm)],[])).
% 54.59/34.77 tff(24671,plain,
% 54.59/34.77 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB145, 1)) | v26(constB145) | v130(constB145, 1)),
% 54.59/34.77 inference(modus_ponens,[status(thm)],[24670, 24669])).
% 54.59/34.77 tff(24672,plain,
% 54.59/34.77 ((~v127(constB145, 1)) | v130(constB145, 1)),
% 54.59/34.77 inference(unit_resolution,[status(thm)],[24671, 1276, 24511])).
% 54.59/34.77 tff(24673,plain,
% 54.59/34.77 (~v127(constB145, 1)),
% 54.59/34.77 inference(unit_resolution,[status(thm)],[24672, 24665])).
% 54.59/34.77 tff(24674,plain,
% 54.59/34.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB145, constB146)) | v127(constB145, 1) | (~v129(constB146, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB145, constB146)) | v127(constB145, 1) | (~v129(constB146, 1)))),
% 54.59/34.77 inference(rewrite,[status(thm)],[])).
% 54.59/34.77 tff(24675,plain,
% 54.59/34.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB145, constB146)) | v127(constB145, 1) | (~v129(constB146, 1)))),
% 54.59/34.77 inference(quant_inst,[status(thm)],[])).
% 54.59/34.77 tff(24676,plain,
% 54.59/34.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB145, constB146)) | v127(constB145, 1) | (~v129(constB146, 1))),
% 54.59/34.77 inference(modus_ponens,[status(thm)],[24675, 24674])).
% 54.59/34.77 tff(24677,plain,
% 54.59/34.77 (v127(constB145, 1) | (~v129(constB146, 1))),
% 54.59/34.77 inference(unit_resolution,[status(thm)],[24676, 1294, 24526])).
% 54.59/34.77 tff(24678,plain,
% 54.59/34.77 (~v129(constB146, 1)),
% 54.59/34.77 inference(unit_resolution,[status(thm)],[24677, 24673])).
% 54.59/34.77 tff(24679,plain,
% 54.59/34.77 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB146, 1)) | v129(constB146, 1) | (~v100(constB146)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB146, 1)) | v129(constB146, 1) | (~v100(constB146)))),
% 54.59/34.77 inference(rewrite,[status(thm)],[])).
% 54.59/34.77 tff(24680,plain,
% 54.59/34.77 (((~v90(constB146, 1)) | (~v100(constB146)) | v129(constB146, 1)) <=> ((~v90(constB146, 1)) | v129(constB146, 1) | (~v100(constB146)))),
% 54.59/34.77 inference(rewrite,[status(thm)],[])).
% 54.59/34.77 tff(24681,plain,
% 54.59/34.77 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB146, 1)) | (~v100(constB146)) | v129(constB146, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB146, 1)) | v129(constB146, 1) | (~v100(constB146))))),
% 54.59/34.77 inference(monotonicity,[status(thm)],[24680])).
% 54.59/34.77 tff(24682,plain,
% 54.59/34.77 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB146, 1)) | (~v100(constB146)) | v129(constB146, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB146, 1)) | v129(constB146, 1) | (~v100(constB146)))),
% 54.59/34.77 inference(transitivity,[status(thm)],[24681, 24679])).
% 54.59/34.77 tff(24683,plain,
% 54.59/34.77 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB146, 1)) | (~v100(constB146)) | v129(constB146, 1))),
% 54.59/34.77 inference(quant_inst,[status(thm)],[])).
% 54.59/34.77 tff(24684,plain,
% 54.59/34.77 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB146, 1)) | v129(constB146, 1) | (~v100(constB146))),
% 54.59/34.77 inference(modus_ponens,[status(thm)],[24683, 24682])).
% 54.59/34.77 tff(24685,plain,
% 54.59/34.77 ((~v90(constB146, 1)) | (~v100(constB146))),
% 54.59/34.77 inference(unit_resolution,[status(thm)],[24684, 1309, 24678])).
% 54.59/34.77 tff(24686,plain,
% 54.59/34.77 (~v90(constB146, 1)),
% 54.59/34.77 inference(unit_resolution,[status(thm)],[24685, 24557])).
% 54.59/34.77 tff(24687,plain,
% 54.59/34.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB146, 1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB146, 1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, 1)))),
% 54.59/34.77 inference(rewrite,[status(thm)],[])).
% 54.59/34.77 tff(24688,plain,
% 54.59/34.77 (((~nextState(constB146, constB147)) | v90(constB146, 1) | v100(constB147) | (~v90(constB147, 1))) <=> (v90(constB146, 1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, 1)))),
% 54.59/34.77 inference(rewrite,[status(thm)],[])).
% 54.59/34.77 tff(24689,plain,
% 54.59/34.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB146, constB147)) | v90(constB146, 1) | v100(constB147) | (~v90(constB147, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB146, 1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, 1))))),
% 54.59/34.77 inference(monotonicity,[status(thm)],[24688])).
% 54.59/34.77 tff(24690,plain,
% 54.59/34.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB146, constB147)) | v90(constB146, 1) | v100(constB147) | (~v90(constB147, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB146, 1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, 1)))),
% 54.59/34.77 inference(transitivity,[status(thm)],[24689, 24687])).
% 54.59/34.77 tff(24691,plain,
% 54.59/34.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB146, constB147)) | v90(constB146, 1) | v100(constB147) | (~v90(constB147, 1)))),
% 54.59/34.77 inference(quant_inst,[status(thm)],[])).
% 54.59/34.77 tff(24692,plain,
% 54.59/34.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB146, 1) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, 1))),
% 54.59/34.77 inference(modus_ponens,[status(thm)],[24691, 24690])).
% 54.59/34.77 tff(24693,plain,
% 54.59/34.77 (v90(constB146, 1) | v100(constB147) | (~v90(constB147, 1))),
% 54.59/34.77 inference(unit_resolution,[status(thm)],[24692, 926, 24609])).
% 54.59/34.77 tff(24694,plain,
% 54.59/34.77 (v90(constB146, 1) | (~v90(constB147, 1))),
% 54.59/34.77 inference(unit_resolution,[status(thm)],[24693, 24621])).
% 54.59/34.77 tff(24695,plain,
% 54.59/34.77 (~v90(constB147, 1)),
% 54.59/34.77 inference(unit_resolution,[status(thm)],[24694, 24686])).
% 54.59/34.77 tff(24696,plain,
% 54.59/34.77 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB147, 0)) | v90(constB147, 1) | v90(constB147, 2) | v120(constB147))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB147, 0)) | v90(constB147, 1) | v90(constB147, 2) | v120(constB147))),
% 54.59/34.77 inference(rewrite,[status(thm)],[])).
% 54.59/34.77 tff(24697,plain,
% 54.59/34.77 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB147, 0)) | v90(constB147, 1) | v90(constB147, 2) | v120(constB147))),
% 54.59/34.77 inference(quant_inst,[status(thm)],[])).
% 54.59/34.77 tff(24698,plain,
% 54.59/34.77 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB147, 0)) | v90(constB147, 1) | v90(constB147, 2) | v120(constB147)),
% 54.59/34.77 inference(modus_ponens,[status(thm)],[24697, 24696])).
% 54.59/34.77 tff(24699,plain,
% 54.59/34.77 (v120(constB147)),
% 54.59/34.77 inference(unit_resolution,[status(thm)],[24698, 1414, 24630, 24695, 24661])).
% 54.59/34.77 tff(24700,plain,
% 54.59/34.77 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB147)) | (~v130(constB147, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB147)) | (~v130(constB147, 0)))),
% 54.59/34.77 inference(rewrite,[status(thm)],[])).
% 54.59/34.77 tff(24701,plain,
% 54.59/34.77 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB147)) | (~v130(constB147, 0)))),
% 54.59/34.77 inference(quant_inst,[status(thm)],[])).
% 54.59/34.77 tff(24702,plain,
% 54.59/34.77 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB147)) | (~v130(constB147, 0))),
% 54.59/34.77 inference(modus_ponens,[status(thm)],[24701, 24700])).
% 54.59/34.77 tff(24703,plain,
% 54.59/34.77 (~v130(constB147, 0)),
% 54.59/34.77 inference(unit_resolution,[status(thm)],[24702, 1657, 24699])).
% 54.59/34.77 tff(24704,plain,
% 54.59/34.77 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB147)) | v118(constB147))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB147)) | v118(constB147))),
% 54.59/34.77 inference(rewrite,[status(thm)],[])).
% 54.59/34.77 tff(24705,plain,
% 54.59/34.77 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB147)) | v118(constB147))),
% 54.59/34.77 inference(quant_inst,[status(thm)],[])).
% 54.59/34.77 tff(24706,plain,
% 54.59/34.77 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB147)) | v118(constB147)),
% 54.59/34.77 inference(modus_ponens,[status(thm)],[24705, 24704])).
% 54.59/34.77 tff(24707,plain,
% 54.59/34.77 (v118(constB147)),
% 54.59/34.77 inference(unit_resolution,[status(thm)],[24706, 1425, 24699])).
% 54.59/34.77 tff(24708,plain,
% 54.59/34.77 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB147) | (~v118(constB147)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB147) | (~v118(constB147)))),
% 54.59/34.77 inference(rewrite,[status(thm)],[])).
% 54.59/34.77 tff(24709,plain,
% 54.59/34.77 (((~v118(constB147)) | v117(constB147)) <=> (v117(constB147) | (~v118(constB147)))),
% 54.59/34.77 inference(rewrite,[status(thm)],[])).
% 54.59/34.77 tff(24710,plain,
% 54.59/34.77 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB147)) | v117(constB147))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB147) | (~v118(constB147))))),
% 54.59/34.77 inference(monotonicity,[status(thm)],[24709])).
% 54.59/34.77 tff(24711,plain,
% 54.59/34.77 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB147)) | v117(constB147))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB147) | (~v118(constB147)))),
% 54.59/34.77 inference(transitivity,[status(thm)],[24710, 24708])).
% 54.59/34.77 tff(24712,plain,
% 54.59/34.77 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB147)) | v117(constB147))),
% 54.59/34.77 inference(quant_inst,[status(thm)],[])).
% 54.59/34.77 tff(24713,plain,
% 54.59/34.77 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB147) | (~v118(constB147))),
% 54.59/34.77 inference(modus_ponens,[status(thm)],[24712, 24711])).
% 54.59/34.77 tff(24714,plain,
% 54.59/34.77 (v117(constB147)),
% 54.59/34.77 inference(unit_resolution,[status(thm)],[24713, 993, 24707])).
% 54.59/34.77 tff(24715,plain,
% 54.59/34.77 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB147)) | v116(constB147))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB147)) | v116(constB147))),
% 54.59/34.77 inference(rewrite,[status(thm)],[])).
% 54.59/34.77 tff(24716,plain,
% 54.59/34.77 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB147)) | v116(constB147))),
% 54.59/34.77 inference(quant_inst,[status(thm)],[])).
% 54.59/34.77 tff(24717,plain,
% 54.59/34.77 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB147)) | v116(constB147)),
% 54.59/34.77 inference(modus_ponens,[status(thm)],[24716, 24715])).
% 54.59/34.77 tff(24718,plain,
% 54.59/34.77 (v116(constB147)),
% 54.59/34.77 inference(unit_resolution,[status(thm)],[24717, 1007, 24714])).
% 54.59/34.77 tff(24719,plain,
% 54.59/34.77 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB147) | (~v116(constB147)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB147) | (~v116(constB147)))),
% 54.59/34.77 inference(rewrite,[status(thm)],[])).
% 54.59/34.77 tff(24720,plain,
% 54.59/34.77 (((~v116(constB147)) | v115(constB147)) <=> (v115(constB147) | (~v116(constB147)))),
% 54.59/34.77 inference(rewrite,[status(thm)],[])).
% 54.59/34.77 tff(24721,plain,
% 54.59/34.77 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB147)) | v115(constB147))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB147) | (~v116(constB147))))),
% 54.59/34.77 inference(monotonicity,[status(thm)],[24720])).
% 54.59/34.77 tff(24722,plain,
% 54.59/34.77 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB147)) | v115(constB147))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB147) | (~v116(constB147)))),
% 54.59/34.77 inference(transitivity,[status(thm)],[24721, 24719])).
% 54.59/34.77 tff(24723,plain,
% 54.59/34.77 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB147)) | v115(constB147))),
% 54.59/34.77 inference(quant_inst,[status(thm)],[])).
% 54.59/34.77 tff(24724,plain,
% 54.59/34.77 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB147) | (~v116(constB147))),
% 54.59/34.77 inference(modus_ponens,[status(thm)],[24723, 24722])).
% 54.59/34.77 tff(24725,plain,
% 54.59/34.77 (v115(constB147)),
% 54.59/34.77 inference(unit_resolution,[status(thm)],[24724, 1021, 24718])).
% 54.59/34.77 tff(24726,plain,
% 54.59/34.77 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB147) | (~v115(constB147)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB147) | (~v115(constB147)))),
% 54.59/34.77 inference(rewrite,[status(thm)],[])).
% 54.59/34.77 tff(24727,plain,
% 54.59/34.77 (((~v115(constB147)) | v114(constB147)) <=> (v114(constB147) | (~v115(constB147)))),
% 54.59/34.77 inference(rewrite,[status(thm)],[])).
% 54.59/34.77 tff(24728,plain,
% 54.59/34.77 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB147)) | v114(constB147))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB147) | (~v115(constB147))))),
% 54.59/34.77 inference(monotonicity,[status(thm)],[24727])).
% 54.59/34.77 tff(24729,plain,
% 54.59/34.77 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB147)) | v114(constB147))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB147) | (~v115(constB147)))),
% 54.59/34.77 inference(transitivity,[status(thm)],[24728, 24726])).
% 54.59/34.77 tff(24730,plain,
% 54.59/34.77 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB147)) | v114(constB147))),
% 54.59/34.77 inference(quant_inst,[status(thm)],[])).
% 54.59/34.77 tff(24731,plain,
% 54.59/34.77 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB147) | (~v115(constB147))),
% 54.59/34.77 inference(modus_ponens,[status(thm)],[24730, 24729])).
% 54.59/34.77 tff(24732,plain,
% 54.59/34.77 (v114(constB147)),
% 54.59/34.77 inference(unit_resolution,[status(thm)],[24731, 1035, 24725])).
% 54.59/34.77 tff(24733,plain,
% 54.59/34.77 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB147) | (~v114(constB147)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB147) | (~v114(constB147)))),
% 54.59/34.77 inference(rewrite,[status(thm)],[])).
% 54.59/34.77 tff(24734,plain,
% 54.59/34.77 (((~v114(constB147)) | v113(constB147)) <=> (v113(constB147) | (~v114(constB147)))),
% 54.59/34.77 inference(rewrite,[status(thm)],[])).
% 54.59/34.77 tff(24735,plain,
% 54.59/34.77 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB147)) | v113(constB147))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB147) | (~v114(constB147))))),
% 54.59/34.77 inference(monotonicity,[status(thm)],[24734])).
% 54.59/34.77 tff(24736,plain,
% 54.59/34.77 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB147)) | v113(constB147))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB147) | (~v114(constB147)))),
% 54.59/34.77 inference(transitivity,[status(thm)],[24735, 24733])).
% 54.59/34.77 tff(24737,plain,
% 54.59/34.77 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB147)) | v113(constB147))),
% 54.59/34.77 inference(quant_inst,[status(thm)],[])).
% 54.59/34.77 tff(24738,plain,
% 54.59/34.77 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB147) | (~v114(constB147))),
% 54.59/34.77 inference(modus_ponens,[status(thm)],[24737, 24736])).
% 54.59/34.77 tff(24739,plain,
% 54.59/34.77 (v113(constB147)),
% 54.59/34.77 inference(unit_resolution,[status(thm)],[24738, 1049, 24732])).
% 54.59/34.77 tff(24740,assumption,(v26(constB147)), introduced(assumption)).
% 54.59/34.77 tff(24741,plain,
% 54.59/34.77 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB147))),
% 54.59/34.77 inference(quant_inst,[status(thm)],[])).
% 54.59/34.77 tff(24742,plain,
% 54.59/34.77 ($false),
% 54.59/34.77 inference(unit_resolution,[status(thm)],[24741, 828, 24740])).
% 54.59/34.77 tff(24743,plain,(~v26(constB147)), inference(lemma,lemma(discharge,[]))).
% 54.59/34.77 tff(24744,assumption,(~v26(constB147)), introduced(assumption)).
% 54.59/34.77 tff(24745,assumption,(v113(constB147)), introduced(assumption)).
% 54.59/34.77 tff(24746,plain,
% 54.59/34.77 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB147) | (~v113(constB147)) | v112(constB147))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB147) | (~v113(constB147)) | v112(constB147))),
% 54.59/34.77 inference(rewrite,[status(thm)],[])).
% 54.59/34.77 tff(24747,plain,
% 54.59/34.77 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB147) | (~v113(constB147)) | v112(constB147))),
% 54.59/34.77 inference(quant_inst,[status(thm)],[])).
% 54.59/34.77 tff(24748,plain,
% 54.59/34.77 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB147) | (~v113(constB147)) | v112(constB147)),
% 54.59/34.77 inference(modus_ponens,[status(thm)],[24747, 24746])).
% 54.59/34.77 tff(24749,plain,
% 54.59/34.77 (v26(constB147) | v112(constB147)),
% 54.59/34.77 inference(unit_resolution,[status(thm)],[24748, 1063, 24745])).
% 54.59/34.77 tff(24750,plain,
% 54.59/34.77 (v112(constB147)),
% 54.59/34.77 inference(unit_resolution,[status(thm)],[24749, 24744])).
% 54.59/34.77 tff(24751,assumption,(~v130(constB147, 0)), introduced(assumption)).
% 54.59/34.77 tff(24752,plain,
% 54.59/34.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB147, 0)) | v26(constB147) | v130(constB147, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB147, 0)) | v26(constB147) | v130(constB147, 0))),
% 54.59/34.77 inference(rewrite,[status(thm)],[])).
% 54.59/34.77 tff(24753,plain,
% 54.59/34.77 ((v26(constB147) | v130(constB147, 0) | (~v127(constB147, 0))) <=> ((~v127(constB147, 0)) | v26(constB147) | v130(constB147, 0))),
% 54.59/34.77 inference(rewrite,[status(thm)],[])).
% 54.59/34.77 tff(24754,plain,
% 54.59/34.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB147) | v130(constB147, 0) | (~v127(constB147, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB147, 0)) | v26(constB147) | v130(constB147, 0)))),
% 54.59/34.77 inference(monotonicity,[status(thm)],[24753])).
% 54.59/34.77 tff(24755,plain,
% 54.59/34.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB147) | v130(constB147, 0) | (~v127(constB147, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB147, 0)) | v26(constB147) | v130(constB147, 0))),
% 54.59/34.77 inference(transitivity,[status(thm)],[24754, 24752])).
% 54.59/34.77 tff(24756,plain,
% 54.59/34.77 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB147) | v130(constB147, 0) | (~v127(constB147, 0)))),
% 54.59/34.77 inference(quant_inst,[status(thm)],[])).
% 54.59/34.77 tff(24757,plain,
% 54.59/34.77 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB147, 0)) | v26(constB147) | v130(constB147, 0)),
% 54.59/34.77 inference(modus_ponens,[status(thm)],[24756, 24755])).
% 54.59/34.77 tff(24758,plain,
% 54.59/34.77 ((~v127(constB147, 0)) | v26(constB147)),
% 54.59/34.77 inference(unit_resolution,[status(thm)],[24757, 1671, 24751])).
% 54.59/34.77 tff(24759,plain,
% 54.59/34.77 (~v127(constB147, 0)),
% 54.59/34.77 inference(unit_resolution,[status(thm)],[24758, 24744])).
% 54.59/34.77 tff(24760,plain,
% 54.59/34.77 (nextState(constB147, constB148) <=> nextState(constB147, constB148)),
% 54.59/34.77 inference(rewrite,[status(thm)],[])).
% 54.59/34.77 tff(24761,axiom,(nextState(constB147, constB148)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_147_1')).
% 54.59/34.78 tff(24762,plain,
% 54.59/34.78 (nextState(constB147, constB148)),
% 54.59/34.78 inference(modus_ponens,[status(thm)],[24761, 24760])).
% 54.59/34.78 tff(24763,plain,
% 54.59/34.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB147, constB148)) | v127(constB147, 0) | (~v129(constB148, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB147, constB148)) | v127(constB147, 0) | (~v129(constB148, 0)))),
% 54.59/34.78 inference(rewrite,[status(thm)],[])).
% 54.59/34.78 tff(24764,plain,
% 54.59/34.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB147, constB148)) | v127(constB147, 0) | (~v129(constB148, 0)))),
% 54.59/34.78 inference(quant_inst,[status(thm)],[])).
% 54.59/34.78 tff(24765,plain,
% 54.59/34.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB147, constB148)) | v127(constB147, 0) | (~v129(constB148, 0))),
% 54.59/34.78 inference(modus_ponens,[status(thm)],[24764, 24763])).
% 54.59/34.78 tff(24766,plain,
% 54.59/34.78 (v127(constB147, 0) | (~v129(constB148, 0))),
% 54.59/34.78 inference(unit_resolution,[status(thm)],[24765, 1689, 24762])).
% 54.59/34.78 tff(24767,plain,
% 54.59/34.78 (~v129(constB148, 0)),
% 54.59/34.78 inference(unit_resolution,[status(thm)],[24766, 24759])).
% 54.59/34.78 tff(24768,assumption,(v90(constB148, 0)), introduced(assumption)).
% 54.59/34.78 tff(24769,plain,
% 54.59/34.78 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB148, 0)) | v129(constB148, 0) | (~v100(constB148)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB148, 0)) | v129(constB148, 0) | (~v100(constB148)))),
% 54.59/34.78 inference(rewrite,[status(thm)],[])).
% 54.59/34.78 tff(24770,plain,
% 54.59/34.78 (((~v90(constB148, 0)) | (~v100(constB148)) | v129(constB148, 0)) <=> ((~v90(constB148, 0)) | v129(constB148, 0) | (~v100(constB148)))),
% 54.59/34.78 inference(rewrite,[status(thm)],[])).
% 54.59/34.78 tff(24771,plain,
% 54.59/34.78 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB148, 0)) | (~v100(constB148)) | v129(constB148, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB148, 0)) | v129(constB148, 0) | (~v100(constB148))))),
% 54.59/34.78 inference(monotonicity,[status(thm)],[24770])).
% 54.59/34.78 tff(24772,plain,
% 54.59/34.78 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB148, 0)) | (~v100(constB148)) | v129(constB148, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB148, 0)) | v129(constB148, 0) | (~v100(constB148)))),
% 54.59/34.78 inference(transitivity,[status(thm)],[24771, 24769])).
% 54.59/34.78 tff(24773,plain,
% 54.59/34.78 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB148, 0)) | (~v100(constB148)) | v129(constB148, 0))),
% 54.59/34.78 inference(quant_inst,[status(thm)],[])).
% 54.59/34.78 tff(24774,plain,
% 54.59/34.78 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB148, 0)) | v129(constB148, 0) | (~v100(constB148))),
% 54.59/34.78 inference(modus_ponens,[status(thm)],[24773, 24772])).
% 54.59/34.78 tff(24775,plain,
% 54.59/34.78 (v129(constB148, 0) | (~v100(constB148))),
% 54.59/34.78 inference(unit_resolution,[status(thm)],[24774, 1704, 24768])).
% 54.59/34.78 tff(24776,plain,
% 54.59/34.78 (~v100(constB148)),
% 54.59/34.78 inference(unit_resolution,[status(thm)],[24775, 24767])).
% 54.59/34.78 tff(24777,plain,
% 54.59/34.78 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB147) | (~nextState(constB147, constB148)) | (~v104(constB148)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB147) | (~nextState(constB147, constB148)) | (~v104(constB148)))),
% 54.59/34.78 inference(rewrite,[status(thm)],[])).
% 54.59/34.78 tff(24778,plain,
% 54.59/34.78 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB147) | (~nextState(constB147, constB148)) | (~v104(constB148)))),
% 54.59/34.78 inference(quant_inst,[status(thm)],[])).
% 54.59/34.78 tff(24779,plain,
% 54.59/34.78 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB147) | (~nextState(constB147, constB148)) | (~v104(constB148))),
% 54.59/34.78 inference(modus_ponens,[status(thm)],[24778, 24777])).
% 54.59/34.78 tff(24780,plain,
% 54.59/34.78 (~v104(constB148)),
% 54.59/34.78 inference(unit_resolution,[status(thm)],[24779, 1113, 24762, 24606])).
% 54.59/34.78 tff(24781,plain,
% 54.59/34.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB147, constB148)) | v102(constB148) | v104(constB148))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB147, constB148)) | v102(constB148) | v104(constB148))),
% 54.59/34.78 inference(rewrite,[status(thm)],[])).
% 54.59/34.78 tff(24782,plain,
% 54.59/34.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB147, constB148)) | v102(constB148) | v104(constB148))),
% 54.59/34.78 inference(quant_inst,[status(thm)],[])).
% 54.59/34.78 tff(24783,plain,
% 54.59/34.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB147, constB148)) | v102(constB148) | v104(constB148)),
% 54.59/34.78 inference(modus_ponens,[status(thm)],[24782, 24781])).
% 54.59/34.78 tff(24784,plain,
% 54.59/34.78 (v102(constB148) | v104(constB148)),
% 54.59/34.78 inference(unit_resolution,[status(thm)],[24783, 1127, 24762])).
% 54.59/34.78 tff(24785,plain,
% 54.59/34.78 (v102(constB148)),
% 54.59/34.78 inference(unit_resolution,[status(thm)],[24784, 24780])).
% 54.59/34.78 tff(24786,plain,
% 54.59/34.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB147, constB148)) | v101(constB148) | (~v102(constB148)) | (~v1(constB148)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB147, constB148)) | v101(constB148) | (~v102(constB148)) | (~v1(constB148)))),
% 54.59/34.78 inference(rewrite,[status(thm)],[])).
% 54.59/34.78 tff(24787,plain,
% 54.59/34.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB147, constB148)) | v101(constB148) | (~v102(constB148)) | (~v1(constB148)))),
% 54.59/34.78 inference(quant_inst,[status(thm)],[])).
% 54.59/34.78 tff(24788,plain,
% 54.59/34.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB147, constB148)) | v101(constB148) | (~v102(constB148)) | (~v1(constB148))),
% 54.59/34.78 inference(modus_ponens,[status(thm)],[24787, 24786])).
% 54.59/34.78 tff(24789,plain,
% 54.59/34.78 (v101(constB148) | (~v102(constB148))),
% 54.59/34.78 inference(unit_resolution,[status(thm)],[24788, 1145, 24762, 178])).
% 54.59/34.78 tff(24790,plain,
% 54.59/34.78 (v101(constB148)),
% 54.59/34.78 inference(unit_resolution,[status(thm)],[24789, 24785])).
% 54.59/34.78 tff(24791,plain,
% 54.59/34.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148)))),
% 54.59/34.78 inference(rewrite,[status(thm)],[])).
% 54.59/34.78 tff(24792,plain,
% 54.59/34.78 (((~nextState(constB147, constB148)) | (~v101(constB148)) | (~v110(constB148)) | v100(constB148)) <=> ((~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148)))),
% 54.59/34.78 inference(rewrite,[status(thm)],[])).
% 54.59/34.78 tff(24793,plain,
% 54.59/34.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB147, constB148)) | (~v101(constB148)) | (~v110(constB148)) | v100(constB148))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148))))),
% 54.59/34.78 inference(monotonicity,[status(thm)],[24792])).
% 54.59/34.78 tff(24794,plain,
% 54.59/34.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB147, constB148)) | (~v101(constB148)) | (~v110(constB148)) | v100(constB148))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148)))),
% 54.59/34.78 inference(transitivity,[status(thm)],[24793, 24791])).
% 54.59/34.78 tff(24795,plain,
% 54.59/34.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB147, constB148)) | (~v101(constB148)) | (~v110(constB148)) | v100(constB148))),
% 54.59/34.78 inference(quant_inst,[status(thm)],[])).
% 54.59/34.78 tff(24796,plain,
% 54.59/34.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB147, constB148)) | v100(constB148) | (~v101(constB148)) | (~v110(constB148))),
% 54.59/34.78 inference(modus_ponens,[status(thm)],[24795, 24794])).
% 54.59/34.78 tff(24797,plain,
% 54.59/34.78 (v100(constB148) | (~v101(constB148)) | (~v110(constB148))),
% 54.59/34.78 inference(unit_resolution,[status(thm)],[24796, 1160, 24762])).
% 54.59/34.78 tff(24798,plain,
% 54.59/34.78 (v100(constB148) | (~v110(constB148))),
% 54.59/34.78 inference(unit_resolution,[status(thm)],[24797, 24790])).
% 54.59/34.78 tff(24799,plain,
% 54.59/34.78 (~v110(constB148)),
% 54.59/34.78 inference(unit_resolution,[status(thm)],[24798, 24776])).
% 54.59/34.78 tff(24800,plain,
% 54.59/34.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147)))),
% 54.59/34.78 inference(rewrite,[status(thm)],[])).
% 54.59/34.78 tff(24801,plain,
% 54.59/34.78 (((~nextState(constB147, constB148)) | (~v108(constB147)) | v110(constB148)) <=> ((~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147)))),
% 54.59/34.78 inference(rewrite,[status(thm)],[])).
% 54.59/34.78 tff(24802,plain,
% 54.59/34.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB147, constB148)) | (~v108(constB147)) | v110(constB148))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147))))),
% 54.59/34.78 inference(monotonicity,[status(thm)],[24801])).
% 54.59/34.78 tff(24803,plain,
% 54.59/34.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB147, constB148)) | (~v108(constB147)) | v110(constB148))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147)))),
% 54.59/34.78 inference(transitivity,[status(thm)],[24802, 24800])).
% 54.59/34.78 tff(24804,plain,
% 54.59/34.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB147, constB148)) | (~v108(constB147)) | v110(constB148))),
% 54.59/34.78 inference(quant_inst,[status(thm)],[])).
% 54.59/34.78 tff(24805,plain,
% 54.59/34.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB147, constB148)) | v110(constB148) | (~v108(constB147))),
% 54.59/34.78 inference(modus_ponens,[status(thm)],[24804, 24803])).
% 54.59/34.78 tff(24806,plain,
% 54.59/34.78 (v110(constB148) | (~v108(constB147))),
% 54.59/34.78 inference(unit_resolution,[status(thm)],[24805, 1095, 24762])).
% 54.59/34.78 tff(24807,plain,
% 54.59/34.78 (~v108(constB147)),
% 54.59/34.78 inference(unit_resolution,[status(thm)],[24806, 24799])).
% 54.59/34.78 tff(24808,plain,
% 54.59/34.78 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB147) | (~v112(constB147)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB147) | (~v112(constB147)))),
% 54.59/34.78 inference(rewrite,[status(thm)],[])).
% 54.59/34.78 tff(24809,plain,
% 54.59/34.78 (((~v112(constB147)) | v108(constB147)) <=> (v108(constB147) | (~v112(constB147)))),
% 54.59/34.78 inference(rewrite,[status(thm)],[])).
% 54.59/34.78 tff(24810,plain,
% 54.59/34.78 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB147)) | v108(constB147))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB147) | (~v112(constB147))))),
% 54.59/34.78 inference(monotonicity,[status(thm)],[24809])).
% 54.59/34.78 tff(24811,plain,
% 54.59/34.78 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB147)) | v108(constB147))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB147) | (~v112(constB147)))),
% 54.59/34.78 inference(transitivity,[status(thm)],[24810, 24808])).
% 54.59/34.78 tff(24812,plain,
% 54.59/34.78 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB147)) | v108(constB147))),
% 54.59/34.78 inference(quant_inst,[status(thm)],[])).
% 54.59/34.78 tff(24813,plain,
% 54.59/34.78 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB147) | (~v112(constB147))),
% 54.59/34.78 inference(modus_ponens,[status(thm)],[24812, 24811])).
% 54.59/34.78 tff(24814,plain,
% 54.59/34.78 ($false),
% 54.59/34.78 inference(unit_resolution,[status(thm)],[24813, 1075, 24807, 24750])).
% 54.59/34.78 tff(24815,plain,(v26(constB147) | (~v90(constB148, 0)) | (~v113(constB147)) | v130(constB147, 0)), inference(lemma,lemma(discharge,[]))).
% 54.59/34.78 tff(24816,plain,
% 54.59/34.78 ((~v90(constB148, 0)) | (~v113(constB147)) | v130(constB147, 0)),
% 54.59/34.78 inference(unit_resolution,[status(thm)],[24815, 24743])).
% 54.59/34.78 tff(24817,plain,
% 54.59/34.78 (~v90(constB148, 0)),
% 54.59/34.78 inference(unit_resolution,[status(thm)],[24816, 24739, 24703])).
% 54.59/34.78 tff(24818,plain,
% 54.59/34.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB147, 0)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB147, 0)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, 0))),
% 54.59/34.78 inference(rewrite,[status(thm)],[])).
% 54.59/34.78 tff(24819,plain,
% 54.59/34.78 (((~nextState(constB147, constB148)) | (~v90(constB147, 0)) | v100(constB148) | v90(constB148, 0)) <=> ((~v90(constB147, 0)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, 0))),
% 54.59/34.78 inference(rewrite,[status(thm)],[])).
% 54.59/34.78 tff(24820,plain,
% 54.59/34.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB147, constB148)) | (~v90(constB147, 0)) | v100(constB148) | v90(constB148, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB147, 0)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, 0)))),
% 54.59/34.78 inference(monotonicity,[status(thm)],[24819])).
% 54.59/34.78 tff(24821,plain,
% 54.59/34.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB147, constB148)) | (~v90(constB147, 0)) | v100(constB148) | v90(constB148, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB147, 0)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, 0))),
% 54.59/34.78 inference(transitivity,[status(thm)],[24820, 24818])).
% 54.59/34.78 tff(24822,plain,
% 54.59/34.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB147, constB148)) | (~v90(constB147, 0)) | v100(constB148) | v90(constB148, 0))),
% 54.59/34.78 inference(quant_inst,[status(thm)],[])).
% 54.59/34.78 tff(24823,plain,
% 54.59/34.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB147, 0)) | (~nextState(constB147, constB148)) | v100(constB148) | v90(constB148, 0)),
% 54.59/34.78 inference(modus_ponens,[status(thm)],[24822, 24821])).
% 54.59/34.78 tff(24824,plain,
% 54.59/34.78 ((~v90(constB147, 0)) | v100(constB148) | v90(constB148, 0)),
% 54.59/34.78 inference(unit_resolution,[status(thm)],[24823, 1395, 24762])).
% 54.59/34.78 tff(24825,plain,
% 54.59/34.78 (v100(constB148)),
% 54.59/34.78 inference(unit_resolution,[status(thm)],[24824, 24817, 24630])).
% 54.59/34.78 tff(24826,plain,
% 54.59/34.78 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB147)) | (~v130(constB147, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB147)) | (~v130(constB147, 2)))),
% 54.59/34.78 inference(rewrite,[status(thm)],[])).
% 54.59/34.78 tff(24827,plain,
% 54.59/34.78 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB147)) | (~v130(constB147, 2)))),
% 54.59/34.78 inference(quant_inst,[status(thm)],[])).
% 54.59/34.78 tff(24828,plain,
% 54.59/34.78 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB147)) | (~v130(constB147, 2))),
% 54.59/34.78 inference(modus_ponens,[status(thm)],[24827, 24826])).
% 54.59/34.78 tff(24829,plain,
% 54.59/34.78 (~v130(constB147, 2)),
% 54.59/34.78 inference(unit_resolution,[status(thm)],[24828, 1523, 24699])).
% 54.59/34.78 tff(24830,plain,
% 54.59/34.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB147, 2)) | v26(constB147) | v130(constB147, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB147, 2)) | v26(constB147) | v130(constB147, 2))),
% 54.59/34.78 inference(rewrite,[status(thm)],[])).
% 54.59/34.78 tff(24831,plain,
% 54.59/34.78 ((v26(constB147) | v130(constB147, 2) | (~v127(constB147, 2))) <=> ((~v127(constB147, 2)) | v26(constB147) | v130(constB147, 2))),
% 54.59/34.78 inference(rewrite,[status(thm)],[])).
% 54.59/34.78 tff(24832,plain,
% 54.59/34.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB147) | v130(constB147, 2) | (~v127(constB147, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB147, 2)) | v26(constB147) | v130(constB147, 2)))),
% 54.59/34.78 inference(monotonicity,[status(thm)],[24831])).
% 54.59/34.78 tff(24833,plain,
% 54.59/34.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB147) | v130(constB147, 2) | (~v127(constB147, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB147, 2)) | v26(constB147) | v130(constB147, 2))),
% 54.59/34.78 inference(transitivity,[status(thm)],[24832, 24830])).
% 54.59/34.78 tff(24834,plain,
% 54.59/34.78 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB147) | v130(constB147, 2) | (~v127(constB147, 2)))),
% 54.59/34.78 inference(quant_inst,[status(thm)],[])).
% 54.59/34.78 tff(24835,plain,
% 54.59/34.78 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB147, 2)) | v26(constB147) | v130(constB147, 2)),
% 54.59/34.78 inference(modus_ponens,[status(thm)],[24834, 24833])).
% 54.59/34.78 tff(24836,plain,
% 54.59/34.78 ((~v127(constB147, 2)) | v130(constB147, 2)),
% 54.59/34.78 inference(unit_resolution,[status(thm)],[24835, 1190, 24743])).
% 54.59/34.78 tff(24837,plain,
% 54.59/34.78 (~v127(constB147, 2)),
% 54.59/34.78 inference(unit_resolution,[status(thm)],[24836, 24829])).
% 54.59/34.78 tff(24838,plain,
% 54.59/34.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB147, constB148)) | v127(constB147, 2) | (~v129(constB148, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB147, constB148)) | v127(constB147, 2) | (~v129(constB148, 2)))),
% 54.59/34.78 inference(rewrite,[status(thm)],[])).
% 54.59/34.78 tff(24839,plain,
% 54.59/34.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB147, constB148)) | v127(constB147, 2) | (~v129(constB148, 2)))),
% 54.59/34.78 inference(quant_inst,[status(thm)],[])).
% 54.59/34.78 tff(24840,plain,
% 54.59/34.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB147, constB148)) | v127(constB147, 2) | (~v129(constB148, 2))),
% 54.59/34.78 inference(modus_ponens,[status(thm)],[24839, 24838])).
% 54.59/34.78 tff(24841,plain,
% 54.59/34.78 (v127(constB147, 2) | (~v129(constB148, 2))),
% 54.59/34.78 inference(unit_resolution,[status(thm)],[24840, 1208, 24762])).
% 54.59/34.78 tff(24842,plain,
% 54.59/34.78 (~v129(constB148, 2)),
% 54.59/34.78 inference(unit_resolution,[status(thm)],[24841, 24837])).
% 54.59/34.78 tff(24843,plain,
% 54.59/34.78 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB148, 2)) | v129(constB148, 2) | (~v100(constB148)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB148, 2)) | v129(constB148, 2) | (~v100(constB148)))),
% 54.59/34.78 inference(rewrite,[status(thm)],[])).
% 54.59/34.78 tff(24844,plain,
% 54.59/34.78 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB148, 2)) | v129(constB148, 2) | (~v100(constB148)))),
% 54.59/34.78 inference(quant_inst,[status(thm)],[])).
% 54.59/34.78 tff(24845,plain,
% 54.59/34.78 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB148, 2)) | v129(constB148, 2) | (~v100(constB148))),
% 54.59/34.78 inference(modus_ponens,[status(thm)],[24844, 24843])).
% 54.59/34.78 tff(24846,plain,
% 54.59/34.78 ((~v90(constB148, 2)) | (~v100(constB148))),
% 54.59/34.78 inference(unit_resolution,[status(thm)],[24845, 1223, 24842])).
% 54.59/34.78 tff(24847,plain,
% 54.59/34.78 (~v90(constB148, 2)),
% 54.59/34.78 inference(unit_resolution,[status(thm)],[24846, 24825])).
% 54.59/34.78 tff(24848,plain,
% 54.59/34.78 ((~v1(constB149)) <=> (~v1(constB149))),
% 54.59/34.78 inference(rewrite,[status(thm)],[])).
% 54.59/34.78 tff(24849,axiom,(~v1(constB149)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_149_1_1')).
% 54.59/34.78 tff(24850,plain,
% 54.59/34.78 (~v1(constB149)),
% 54.59/34.78 inference(modus_ponens,[status(thm)],[24849, 24848])).
% 54.59/34.78 tff(24851,plain,
% 54.59/34.78 (nextState(constB148, constB149) <=> nextState(constB148, constB149)),
% 54.59/34.78 inference(rewrite,[status(thm)],[])).
% 54.59/34.78 tff(24852,axiom,(nextState(constB148, constB149)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_148_1')).
% 54.59/34.78 tff(24853,plain,
% 54.59/34.78 (nextState(constB148, constB149)),
% 54.59/34.78 inference(modus_ponens,[status(thm)],[24852, 24851])).
% 54.59/34.78 tff(24854,plain,
% 54.59/34.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149)))),
% 54.59/34.78 inference(rewrite,[status(thm)],[])).
% 54.59/34.78 tff(24855,plain,
% 54.59/34.78 (((~nextState(constB148, constB149)) | (~v101(constB149)) | v1(constB149)) <=> (v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149)))),
% 54.59/34.78 inference(rewrite,[status(thm)],[])).
% 54.59/34.78 tff(24856,plain,
% 54.59/34.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB148, constB149)) | (~v101(constB149)) | v1(constB149))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149))))),
% 54.59/34.78 inference(monotonicity,[status(thm)],[24855])).
% 54.59/34.78 tff(24857,plain,
% 54.59/34.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB148, constB149)) | (~v101(constB149)) | v1(constB149))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149)))),
% 54.59/34.78 inference(transitivity,[status(thm)],[24856, 24854])).
% 54.59/34.78 tff(24858,plain,
% 54.59/34.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB148, constB149)) | (~v101(constB149)) | v1(constB149))),
% 54.59/34.78 inference(quant_inst,[status(thm)],[])).
% 54.59/34.78 tff(24859,plain,
% 54.59/34.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB149) | (~nextState(constB148, constB149)) | (~v101(constB149))),
% 54.59/34.78 inference(modus_ponens,[status(thm)],[24858, 24857])).
% 54.59/34.78 tff(24860,plain,
% 54.59/34.78 (~v101(constB149)),
% 54.59/34.78 inference(unit_resolution,[status(thm)],[24859, 873, 24853, 24850])).
% 54.59/34.78 tff(24861,plain,
% 54.59/34.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB148, constB149)) | v101(constB149) | (~v100(constB149)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB148, constB149)) | v101(constB149) | (~v100(constB149)))),
% 54.59/34.78 inference(rewrite,[status(thm)],[])).
% 54.59/34.78 tff(24862,plain,
% 54.59/34.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB148, constB149)) | v101(constB149) | (~v100(constB149)))),
% 54.59/34.78 inference(quant_inst,[status(thm)],[])).
% 54.59/34.78 tff(24863,plain,
% 54.59/34.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB148, constB149)) | v101(constB149) | (~v100(constB149))),
% 54.59/34.78 inference(modus_ponens,[status(thm)],[24862, 24861])).
% 54.59/34.78 tff(24864,plain,
% 54.59/34.78 (v101(constB149) | (~v100(constB149))),
% 54.59/34.78 inference(unit_resolution,[status(thm)],[24863, 890, 24853])).
% 54.59/34.78 tff(24865,plain,
% 54.59/34.78 (~v100(constB149)),
% 54.59/34.78 inference(unit_resolution,[status(thm)],[24864, 24860])).
% 54.59/34.78 tff(24866,plain,
% 54.59/34.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB148, 2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB148, 2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, 2)))),
% 54.59/34.78 inference(rewrite,[status(thm)],[])).
% 54.59/34.78 tff(24867,plain,
% 54.59/34.78 (((~nextState(constB148, constB149)) | v90(constB148, 2) | v100(constB149) | (~v90(constB149, 2))) <=> (v90(constB148, 2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, 2)))),
% 54.59/34.78 inference(rewrite,[status(thm)],[])).
% 54.59/34.78 tff(24868,plain,
% 54.59/34.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB148, constB149)) | v90(constB148, 2) | v100(constB149) | (~v90(constB149, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB148, 2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, 2))))),
% 54.59/34.78 inference(monotonicity,[status(thm)],[24867])).
% 54.59/34.78 tff(24869,plain,
% 54.59/34.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB148, constB149)) | v90(constB148, 2) | v100(constB149) | (~v90(constB149, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB148, 2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, 2)))),
% 54.59/34.78 inference(transitivity,[status(thm)],[24868, 24866])).
% 54.59/34.78 tff(24870,plain,
% 54.59/34.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB148, constB149)) | v90(constB148, 2) | v100(constB149) | (~v90(constB149, 2)))),
% 54.59/34.78 inference(quant_inst,[status(thm)],[])).
% 54.59/34.78 tff(24871,plain,
% 54.59/34.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB148, 2) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, 2))),
% 54.59/34.78 inference(modus_ponens,[status(thm)],[24870, 24869])).
% 54.59/34.78 tff(24872,plain,
% 54.59/34.78 (v90(constB148, 2) | v100(constB149) | (~v90(constB149, 2))),
% 54.59/34.78 inference(unit_resolution,[status(thm)],[24871, 905, 24853])).
% 54.59/34.78 tff(24873,plain,
% 54.59/34.78 (v90(constB148, 2) | (~v90(constB149, 2))),
% 54.59/34.78 inference(unit_resolution,[status(thm)],[24872, 24865])).
% 54.59/34.78 tff(24874,plain,
% 54.59/34.78 (~v90(constB149, 2)),
% 54.59/34.78 inference(unit_resolution,[status(thm)],[24873, 24847])).
% 54.59/34.78 tff(24875,plain,
% 54.59/34.78 (^[VarCurr: state_type] : refl(((~v88(VarCurr, 2)) | v90(VarCurr, 2)) <=> ((~v88(VarCurr, 2)) | v90(VarCurr, 2)))),
% 54.59/34.78 inference(bind,[status(th)],[])).
% 54.59/34.78 tff(24876,plain,
% 54.59/34.78 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))),
% 54.59/34.78 inference(quant_intro,[status(thm)],[24875])).
% 54.59/34.78 tff(24877,plain,
% 54.59/34.78 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))),
% 54.59/34.78 inference(rewrite,[status(thm)],[])).
% 54.59/34.78 tff(24878,axiom,(![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_8_1_6')).
% 54.59/34.78 tff(24879,plain,
% 54.59/34.78 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))),
% 54.59/34.78 inference(modus_ponens,[status(thm)],[24878, 24877])).
% 54.59/34.78 tff(24880,plain,(
% 54.59/34.78 ![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))),
% 54.59/34.78 inference(skolemize,[status(sab)],[24879])).
% 54.59/34.78 tff(24881,plain,
% 54.59/34.78 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))),
% 54.59/34.78 inference(modus_ponens,[status(thm)],[24880, 24876])).
% 54.59/34.78 tff(24882,plain,
% 54.59/34.78 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB149, 2)) | v90(constB149, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB149, 2)) | v90(constB149, 2))),
% 54.59/34.78 inference(rewrite,[status(thm)],[])).
% 54.59/34.78 tff(24883,plain,
% 54.59/34.78 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB149, 2)) | v90(constB149, 2))),
% 54.59/34.78 inference(quant_inst,[status(thm)],[])).
% 54.59/34.78 tff(24884,plain,
% 54.59/34.78 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB149, 2)) | v90(constB149, 2)),
% 54.59/34.78 inference(modus_ponens,[status(thm)],[24883, 24882])).
% 54.59/34.78 tff(24885,plain,
% 54.59/34.78 (~v88(constB149, 2)),
% 54.59/34.78 inference(unit_resolution,[status(thm)],[24884, 24881, 24874])).
% 54.59/34.78 tff(24886,plain,
% 54.59/34.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB148, 0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB148, 0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, 0)))),
% 54.59/34.78 inference(rewrite,[status(thm)],[])).
% 54.59/34.78 tff(24887,plain,
% 54.59/34.78 (((~nextState(constB148, constB149)) | v90(constB148, 0) | v100(constB149) | (~v90(constB149, 0))) <=> (v90(constB148, 0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, 0)))),
% 54.59/34.78 inference(rewrite,[status(thm)],[])).
% 54.59/34.78 tff(24888,plain,
% 54.59/34.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB148, constB149)) | v90(constB148, 0) | v100(constB149) | (~v90(constB149, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB148, 0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, 0))))),
% 54.59/34.78 inference(monotonicity,[status(thm)],[24887])).
% 54.59/34.78 tff(24889,plain,
% 54.59/34.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB148, constB149)) | v90(constB148, 0) | v100(constB149) | (~v90(constB149, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB148, 0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, 0)))),
% 54.59/34.78 inference(transitivity,[status(thm)],[24888, 24886])).
% 54.59/34.78 tff(24890,plain,
% 54.59/34.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB148, constB149)) | v90(constB148, 0) | v100(constB149) | (~v90(constB149, 0)))),
% 54.59/34.78 inference(quant_inst,[status(thm)],[])).
% 54.59/34.78 tff(24891,plain,
% 54.59/34.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB148, 0) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, 0))),
% 54.59/34.78 inference(modus_ponens,[status(thm)],[24890, 24889])).
% 54.59/34.78 tff(24892,plain,
% 54.59/34.78 (v90(constB148, 0) | v100(constB149) | (~v90(constB149, 0))),
% 54.59/34.78 inference(unit_resolution,[status(thm)],[24891, 947, 24853])).
% 54.59/34.78 tff(24893,plain,
% 54.59/34.78 (v90(constB148, 0) | (~v90(constB149, 0))),
% 54.59/34.78 inference(unit_resolution,[status(thm)],[24892, 24865])).
% 54.59/34.78 tff(24894,plain,
% 54.59/34.78 (~v90(constB149, 0)),
% 54.59/34.78 inference(unit_resolution,[status(thm)],[24893, 24817])).
% 54.59/34.78 tff(24895,plain,
% 54.59/34.78 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB149, 0)) | v90(constB149, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB149, 0)) | v90(constB149, 0))),
% 54.59/34.78 inference(rewrite,[status(thm)],[])).
% 54.59/34.78 tff(24896,plain,
% 54.59/34.78 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB149, 0)) | v90(constB149, 0))),
% 54.59/34.78 inference(quant_inst,[status(thm)],[])).
% 54.59/34.78 tff(24897,plain,
% 54.59/34.78 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB149, 0)) | v90(constB149, 0)),
% 54.59/34.78 inference(modus_ponens,[status(thm)],[24896, 24895])).
% 54.59/34.78 tff(24898,plain,
% 54.59/34.78 (~v88(constB149, 0)),
% 54.59/34.78 inference(unit_resolution,[status(thm)],[24897, 14132, 24894])).
% 54.59/34.78 tff(24899,plain,
% 54.59/34.78 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB147)) | v130(constB147, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB147)) | v130(constB147, 1))),
% 54.59/34.78 inference(rewrite,[status(thm)],[])).
% 54.59/34.78 tff(24900,plain,
% 54.59/34.78 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB147)) | v130(constB147, 1))),
% 54.59/34.78 inference(quant_inst,[status(thm)],[])).
% 54.59/34.78 tff(24901,plain,
% 54.59/34.78 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB147)) | v130(constB147, 1)),
% 54.59/34.78 inference(modus_ponens,[status(thm)],[24900, 24899])).
% 54.59/34.78 tff(24902,plain,
% 54.59/34.78 (v130(constB147, 1)),
% 54.59/34.78 inference(unit_resolution,[status(thm)],[24901, 1579, 24699])).
% 54.59/34.78 tff(24903,plain,
% 54.59/34.78 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB147) | (~v130(constB147, 1)) | v127(constB147, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB147) | (~v130(constB147, 1)) | v127(constB147, 1))),
% 54.59/34.78 inference(rewrite,[status(thm)],[])).
% 54.59/34.78 tff(24904,plain,
% 54.59/34.78 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB147) | (~v130(constB147, 1)) | v127(constB147, 1))),
% 54.59/34.78 inference(quant_inst,[status(thm)],[])).
% 54.59/34.78 tff(24905,plain,
% 54.59/34.78 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB147) | (~v130(constB147, 1)) | v127(constB147, 1)),
% 54.59/34.78 inference(modus_ponens,[status(thm)],[24904, 24903])).
% 54.59/34.78 tff(24906,plain,
% 54.59/34.78 ((~v130(constB147, 1)) | v127(constB147, 1)),
% 54.59/34.78 inference(unit_resolution,[status(thm)],[24905, 1593, 24743])).
% 54.59/34.78 tff(24907,plain,
% 54.59/34.78 (v127(constB147, 1)),
% 54.59/34.78 inference(unit_resolution,[status(thm)],[24906, 24902])).
% 54.59/34.78 tff(24908,plain,
% 54.59/34.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB147, constB148)) | (~v127(constB147, 1)) | v129(constB148, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB147, constB148)) | (~v127(constB147, 1)) | v129(constB148, 1))),
% 54.59/34.78 inference(rewrite,[status(thm)],[])).
% 54.59/34.78 tff(24909,plain,
% 54.59/34.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB147, constB148)) | (~v127(constB147, 1)) | v129(constB148, 1))),
% 54.59/34.78 inference(quant_inst,[status(thm)],[])).
% 54.59/34.78 tff(24910,plain,
% 54.59/34.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB147, constB148)) | (~v127(constB147, 1)) | v129(constB148, 1)),
% 54.59/34.78 inference(modus_ponens,[status(thm)],[24909, 24908])).
% 54.59/34.78 tff(24911,plain,
% 54.59/34.78 ((~v127(constB147, 1)) | v129(constB148, 1)),
% 54.59/34.78 inference(unit_resolution,[status(thm)],[24910, 1608, 24762])).
% 54.59/34.78 tff(24912,plain,
% 54.59/34.78 (v129(constB148, 1)),
% 54.59/34.78 inference(unit_resolution,[status(thm)],[24911, 24907])).
% 54.59/34.78 tff(24913,plain,
% 54.59/34.78 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB148, 1) | (~v129(constB148, 1)) | (~v100(constB148)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB148, 1) | (~v129(constB148, 1)) | (~v100(constB148)))),
% 54.59/34.78 inference(rewrite,[status(thm)],[])).
% 54.59/34.78 tff(24914,plain,
% 54.59/34.78 ((v90(constB148, 1) | (~v100(constB148)) | (~v129(constB148, 1))) <=> (v90(constB148, 1) | (~v129(constB148, 1)) | (~v100(constB148)))),
% 54.59/34.78 inference(rewrite,[status(thm)],[])).
% 54.59/34.78 tff(24915,plain,
% 54.59/34.78 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB148, 1) | (~v100(constB148)) | (~v129(constB148, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB148, 1) | (~v129(constB148, 1)) | (~v100(constB148))))),
% 54.59/34.78 inference(monotonicity,[status(thm)],[24914])).
% 54.59/34.78 tff(24916,plain,
% 54.59/34.78 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB148, 1) | (~v100(constB148)) | (~v129(constB148, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB148, 1) | (~v129(constB148, 1)) | (~v100(constB148)))),
% 54.59/34.78 inference(transitivity,[status(thm)],[24915, 24913])).
% 54.59/34.78 tff(24917,plain,
% 54.59/34.78 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB148, 1) | (~v100(constB148)) | (~v129(constB148, 1)))),
% 54.59/34.78 inference(quant_inst,[status(thm)],[])).
% 54.59/34.78 tff(24918,plain,
% 54.59/34.78 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB148, 1) | (~v129(constB148, 1)) | (~v100(constB148))),
% 54.59/34.78 inference(modus_ponens,[status(thm)],[24917, 24916])).
% 54.59/34.78 tff(24919,plain,
% 54.59/34.78 (v90(constB148, 1) | (~v100(constB148))),
% 54.59/34.78 inference(unit_resolution,[status(thm)],[24918, 1623, 24912])).
% 54.59/34.78 tff(24920,plain,
% 54.59/34.78 (v90(constB148, 1)),
% 54.59/34.78 inference(unit_resolution,[status(thm)],[24919, 24825])).
% 54.59/34.78 tff(24921,plain,
% 54.59/34.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB148, 1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB148, 1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, 1))),
% 54.59/34.78 inference(rewrite,[status(thm)],[])).
% 54.59/34.78 tff(24922,plain,
% 54.59/34.78 (((~nextState(constB148, constB149)) | (~v90(constB148, 1)) | v100(constB149) | v90(constB149, 1)) <=> ((~v90(constB148, 1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, 1))),
% 54.59/34.78 inference(rewrite,[status(thm)],[])).
% 54.59/34.78 tff(24923,plain,
% 54.59/34.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB148, constB149)) | (~v90(constB148, 1)) | v100(constB149) | v90(constB149, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB148, 1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, 1)))),
% 54.59/34.78 inference(monotonicity,[status(thm)],[24922])).
% 54.59/34.78 tff(24924,plain,
% 54.59/34.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB148, constB149)) | (~v90(constB148, 1)) | v100(constB149) | v90(constB149, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB148, 1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, 1))),
% 54.59/34.78 inference(transitivity,[status(thm)],[24923, 24921])).
% 54.59/34.78 tff(24925,plain,
% 54.59/34.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB148, constB149)) | (~v90(constB148, 1)) | v100(constB149) | v90(constB149, 1))),
% 54.59/34.78 inference(quant_inst,[status(thm)],[])).
% 54.59/34.78 tff(24926,plain,
% 54.59/34.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB148, 1)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, 1)),
% 54.59/34.78 inference(modus_ponens,[status(thm)],[24925, 24924])).
% 54.59/34.78 tff(24927,plain,
% 54.59/34.78 ((~v90(constB148, 1)) | v100(constB149) | v90(constB149, 1)),
% 54.59/34.78 inference(unit_resolution,[status(thm)],[24926, 1641, 24853])).
% 54.59/34.78 tff(24928,plain,
% 54.59/34.78 ((~v90(constB148, 1)) | v90(constB149, 1)),
% 54.59/34.78 inference(unit_resolution,[status(thm)],[24927, 24865])).
% 54.59/34.78 tff(24929,plain,
% 54.59/34.78 (v90(constB149, 1)),
% 54.59/34.78 inference(unit_resolution,[status(thm)],[24928, 24920])).
% 54.59/34.78 tff(24930,plain,
% 54.59/34.78 (^[VarCurr: state_type] : refl(((~v90(VarCurr, 1)) | v88(VarCurr, 1)) <=> ((~v90(VarCurr, 1)) | v88(VarCurr, 1)))),
% 54.59/34.78 inference(bind,[status(th)],[])).
% 54.59/34.78 tff(24931,plain,
% 54.59/34.78 (![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))),
% 54.59/34.78 inference(quant_intro,[status(thm)],[24930])).
% 54.59/34.78 tff(24932,plain,
% 54.59/34.78 (![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))),
% 54.59/34.78 inference(rewrite,[status(thm)],[])).
% 54.59/34.78 tff(24933,axiom,(![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_8_1_3')).
% 54.59/34.78 tff(24934,plain,
% 54.59/34.78 (![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))),
% 54.59/34.78 inference(modus_ponens,[status(thm)],[24933, 24932])).
% 54.59/34.78 tff(24935,plain,(
% 54.59/34.78 ![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))),
% 54.59/34.78 inference(skolemize,[status(sab)],[24934])).
% 54.59/34.78 tff(24936,plain,
% 54.59/34.78 (![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))),
% 54.59/34.78 inference(modus_ponens,[status(thm)],[24935, 24931])).
% 54.59/34.78 tff(24937,plain,
% 54.59/34.78 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB149, 1)) | v88(constB149, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB149, 1)) | v88(constB149, 1))),
% 54.59/34.78 inference(rewrite,[status(thm)],[])).
% 54.59/34.78 tff(24938,plain,
% 54.59/34.78 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB149, 1)) | v88(constB149, 1))),
% 54.59/34.78 inference(quant_inst,[status(thm)],[])).
% 54.59/34.78 tff(24939,plain,
% 54.59/34.78 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB149, 1)) | v88(constB149, 1)),
% 54.59/34.78 inference(modus_ponens,[status(thm)],[24938, 24937])).
% 54.59/34.78 tff(24940,plain,
% 54.59/34.78 (v88(constB149, 1)),
% 54.59/34.78 inference(unit_resolution,[status(thm)],[24939, 24936, 24929])).
% 54.59/34.78 tff(24941,plain,
% 54.59/34.78 (^[VarCurr: state_type] : refl((v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr)) <=> (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr)))),
% 54.59/34.78 inference(bind,[status(th)],[])).
% 54.59/34.78 tff(24942,plain,
% 54.59/34.78 (![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))),
% 54.59/34.78 inference(quant_intro,[status(thm)],[24941])).
% 54.59/34.78 tff(24943,plain,
% 54.59/34.78 (![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))),
% 54.59/34.78 inference(rewrite,[status(thm)],[])).
% 54.59/34.78 tff(24944,plain,
% 54.59/34.78 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v88(VarCurr, 0) | v88(VarCurr, 2)) | (~v88(VarCurr, 1))) <=> (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0))), ((((v88(VarCurr, 0) | v88(VarCurr, 2)) | (~v88(VarCurr, 1))) | v143(VarCurr)) <=> ((v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0)) | v143(VarCurr)))), rewrite(((v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0)) | v143(VarCurr)) <=> (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))), ((((v88(VarCurr, 0) | v88(VarCurr, 2)) | (~v88(VarCurr, 1))) | v143(VarCurr)) <=> (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))))),
% 54.59/34.78 inference(bind,[status(th)],[])).
% 54.59/34.78 tff(24945,plain,
% 54.59/34.78 (![VarCurr: state_type] : (((v88(VarCurr, 0) | v88(VarCurr, 2)) | (~v88(VarCurr, 1))) | v143(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))),
% 54.59/34.78 inference(quant_intro,[status(thm)],[24944])).
% 54.59/34.78 tff(24946,axiom,(![VarCurr: state_type] : (((v88(VarCurr, 0) | v88(VarCurr, 2)) | (~v88(VarCurr, 1))) | v143(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_12_1_1_1')).
% 54.59/34.78 tff(24947,plain,
% 54.59/34.78 (![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))),
% 54.59/34.78 inference(modus_ponens,[status(thm)],[24946, 24945])).
% 54.59/34.78 tff(24948,plain,
% 54.59/34.78 (![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))),
% 54.59/34.78 inference(modus_ponens,[status(thm)],[24947, 24943])).
% 54.59/34.78 tff(24949,plain,(
% 54.59/34.78 ![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))),
% 54.59/34.78 inference(skolemize,[status(sab)],[24948])).
% 54.59/34.78 tff(24950,plain,
% 54.59/34.78 (![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))),
% 54.59/34.78 inference(modus_ponens,[status(thm)],[24949, 24942])).
% 54.59/34.78 tff(24951,plain,
% 54.59/34.78 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB149, 0) | (~v88(constB149, 1)) | v88(constB149, 2) | v143(constB149))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB149, 0) | (~v88(constB149, 1)) | v88(constB149, 2) | v143(constB149))),
% 54.59/34.78 inference(rewrite,[status(thm)],[])).
% 54.59/34.78 tff(24952,plain,
% 54.59/34.78 ((v88(constB149, 2) | (~v88(constB149, 1)) | v88(constB149, 0) | v143(constB149)) <=> (v88(constB149, 0) | (~v88(constB149, 1)) | v88(constB149, 2) | v143(constB149))),
% 54.59/34.78 inference(rewrite,[status(thm)],[])).
% 54.59/34.78 tff(24953,plain,
% 54.59/34.78 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB149, 2) | (~v88(constB149, 1)) | v88(constB149, 0) | v143(constB149))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB149, 0) | (~v88(constB149, 1)) | v88(constB149, 2) | v143(constB149)))),
% 54.59/34.78 inference(monotonicity,[status(thm)],[24952])).
% 54.59/34.79 tff(24954,plain,
% 54.59/34.79 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB149, 2) | (~v88(constB149, 1)) | v88(constB149, 0) | v143(constB149))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB149, 0) | (~v88(constB149, 1)) | v88(constB149, 2) | v143(constB149))),
% 54.59/34.79 inference(transitivity,[status(thm)],[24953, 24951])).
% 54.59/34.79 tff(24955,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB149, 2) | (~v88(constB149, 1)) | v88(constB149, 0) | v143(constB149))),
% 54.59/34.79 inference(quant_inst,[status(thm)],[])).
% 54.59/34.79 tff(24956,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB149, 0) | (~v88(constB149, 1)) | v88(constB149, 2) | v143(constB149)),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[24955, 24954])).
% 54.59/34.79 tff(24957,plain,
% 54.59/34.79 (v143(constB149)),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[24956, 24950, 24940, 24898, 24885])).
% 54.59/34.79 tff(24958,plain,
% 54.59/34.79 (^[VarCurr: state_type] : refl(((~v143(VarCurr)) | v142(VarCurr)) <=> ((~v143(VarCurr)) | v142(VarCurr)))),
% 54.59/34.79 inference(bind,[status(th)],[])).
% 54.59/34.79 tff(24959,plain,
% 54.59/34.79 (![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr)) <=> ![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))),
% 54.59/34.79 inference(quant_intro,[status(thm)],[24958])).
% 54.59/34.79 tff(24960,plain,
% 54.59/34.79 (![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr)) <=> ![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(24961,axiom,(![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_30_1_2')).
% 54.59/34.79 tff(24962,plain,
% 54.59/34.79 (![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[24961, 24960])).
% 54.59/34.79 tff(24963,plain,(
% 54.59/34.79 ![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))),
% 54.59/34.79 inference(skolemize,[status(sab)],[24962])).
% 54.59/34.79 tff(24964,plain,
% 54.59/34.79 (![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[24963, 24959])).
% 54.59/34.79 tff(24965,plain,
% 54.59/34.79 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (v142(constB149) | (~v143(constB149)))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB149) | (~v143(constB149)))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(24966,plain,
% 54.59/34.79 (((~v143(constB149)) | v142(constB149)) <=> (v142(constB149) | (~v143(constB149)))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(24967,plain,
% 54.59/34.79 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB149)) | v142(constB149))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (v142(constB149) | (~v143(constB149))))),
% 54.59/34.79 inference(monotonicity,[status(thm)],[24966])).
% 54.59/34.79 tff(24968,plain,
% 54.59/34.79 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB149)) | v142(constB149))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB149) | (~v143(constB149)))),
% 54.59/34.79 inference(transitivity,[status(thm)],[24967, 24965])).
% 54.59/34.79 tff(24969,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB149)) | v142(constB149))),
% 54.59/34.79 inference(quant_inst,[status(thm)],[])).
% 54.59/34.79 tff(24970,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB149) | (~v143(constB149))),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[24969, 24968])).
% 54.59/34.79 tff(24971,plain,
% 54.59/34.79 (v142(constB149)),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[24970, 24964, 24957])).
% 54.59/34.79 tff(24972,plain,
% 54.59/34.79 (^[VarCurr: state_type] : refl(((~v142(VarCurr)) | v166(VarCurr)) <=> ((~v142(VarCurr)) | v166(VarCurr)))),
% 54.59/34.79 inference(bind,[status(th)],[])).
% 54.59/34.79 tff(24973,plain,
% 54.59/34.79 (![VarCurr: state_type] : ((~v142(VarCurr)) | v166(VarCurr)) <=> ![VarCurr: state_type] : ((~v142(VarCurr)) | v166(VarCurr))),
% 54.59/34.79 inference(quant_intro,[status(thm)],[24972])).
% 54.59/34.79 tff(24974,plain,
% 54.59/34.79 (![VarCurr: state_type] : ((~v142(VarCurr)) | v166(VarCurr)) <=> ![VarCurr: state_type] : ((~v142(VarCurr)) | v166(VarCurr))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(24975,axiom,(![VarCurr: state_type] : ((~v142(VarCurr)) | v166(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_39_1_1_2')).
% 54.59/34.79 tff(24976,plain,
% 54.59/34.79 (![VarCurr: state_type] : ((~v142(VarCurr)) | v166(VarCurr))),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[24975, 24974])).
% 54.59/34.79 tff(24977,plain,(
% 54.59/34.79 ![VarCurr: state_type] : ((~v142(VarCurr)) | v166(VarCurr))),
% 54.59/34.79 inference(skolemize,[status(sab)],[24976])).
% 54.59/34.79 tff(24978,plain,
% 54.59/34.79 (![VarCurr: state_type] : ((~v142(VarCurr)) | v166(VarCurr))),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[24977, 24973])).
% 54.59/34.79 tff(24979,plain,
% 54.59/34.79 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v166(VarCurr))) | ((~v142(constB149)) | v166(constB149))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v166(VarCurr))) | (~v142(constB149)) | v166(constB149))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(24980,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v166(VarCurr))) | ((~v142(constB149)) | v166(constB149))),
% 54.59/34.79 inference(quant_inst,[status(thm)],[])).
% 54.59/34.79 tff(24981,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v166(VarCurr))) | (~v142(constB149)) | v166(constB149)),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[24980, 24979])).
% 54.59/34.79 tff(24982,plain,
% 54.59/34.79 (v166(constB149)),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[24981, 24978, 24971])).
% 54.59/34.79 tff(24983,plain,
% 54.59/34.79 (^[VarCurr: state_type] : refl(((~v166(VarCurr)) | v165(VarCurr)) <=> ((~v166(VarCurr)) | v165(VarCurr)))),
% 54.59/34.79 inference(bind,[status(th)],[])).
% 54.59/34.79 tff(24984,plain,
% 54.59/34.79 (![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr)) <=> ![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))),
% 54.59/34.79 inference(quant_intro,[status(thm)],[24983])).
% 54.59/34.79 tff(24985,plain,
% 54.59/34.79 (![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr)) <=> ![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(24986,axiom,(![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_40_1_1_1')).
% 54.59/34.79 tff(24987,plain,
% 54.59/34.79 (![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[24986, 24985])).
% 54.59/34.79 tff(24988,plain,(
% 54.59/34.79 ![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))),
% 54.59/34.79 inference(skolemize,[status(sab)],[24987])).
% 54.59/34.79 tff(24989,plain,
% 54.59/34.79 (![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[24988, 24984])).
% 54.59/34.79 tff(24990,plain,
% 54.59/34.79 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (v165(constB149) | (~v166(constB149)))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB149) | (~v166(constB149)))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(24991,plain,
% 54.59/34.79 (((~v166(constB149)) | v165(constB149)) <=> (v165(constB149) | (~v166(constB149)))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(24992,plain,
% 54.59/34.79 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB149)) | v165(constB149))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (v165(constB149) | (~v166(constB149))))),
% 54.59/34.79 inference(monotonicity,[status(thm)],[24991])).
% 54.59/34.79 tff(24993,plain,
% 54.59/34.79 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB149)) | v165(constB149))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB149) | (~v166(constB149)))),
% 54.59/34.79 inference(transitivity,[status(thm)],[24992, 24990])).
% 54.59/34.79 tff(24994,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB149)) | v165(constB149))),
% 54.59/34.79 inference(quant_inst,[status(thm)],[])).
% 54.59/34.79 tff(24995,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB149) | (~v166(constB149))),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[24994, 24993])).
% 54.59/34.79 tff(24996,plain,
% 54.59/34.79 (v165(constB149)),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[24995, 24989, 24982])).
% 54.59/34.79 tff(24997,plain,
% 54.59/34.79 (^[VarCurr: state_type] : refl(((~v139(VarCurr)) | (~v88(VarCurr, 1))) <=> ((~v139(VarCurr)) | (~v88(VarCurr, 1))))),
% 54.59/34.79 inference(bind,[status(th)],[])).
% 54.59/34.79 tff(24998,plain,
% 54.59/34.79 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))),
% 54.59/34.79 inference(quant_intro,[status(thm)],[24997])).
% 54.59/34.79 tff(24999,plain,
% 54.59/34.79 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(25000,axiom,(![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9_1_1_3')).
% 54.59/34.79 tff(25001,plain,
% 54.59/34.79 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[25000, 24999])).
% 54.59/34.79 tff(25002,plain,(
% 54.59/34.79 ![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))),
% 54.59/34.79 inference(skolemize,[status(sab)],[25001])).
% 54.59/34.79 tff(25003,plain,
% 54.59/34.79 (![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[25002, 24998])).
% 54.59/34.79 tff(25004,plain,
% 54.59/34.79 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB149)) | (~v88(constB149, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB149)) | (~v88(constB149, 1)))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(25005,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB149)) | (~v88(constB149, 1)))),
% 54.59/34.79 inference(quant_inst,[status(thm)],[])).
% 54.59/34.79 tff(25006,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB149)) | (~v88(constB149, 1))),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[25005, 25004])).
% 54.59/34.79 tff(25007,plain,
% 54.59/34.79 (~v139(constB149)),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[25006, 25003, 24940])).
% 54.59/34.79 tff(25008,plain,
% 54.59/34.79 (^[VarCurr: state_type] : refl(((~v140(VarCurr)) | (~v88(VarCurr, 1))) <=> ((~v140(VarCurr)) | (~v88(VarCurr, 1))))),
% 54.59/34.79 inference(bind,[status(th)],[])).
% 54.59/34.79 tff(25009,plain,
% 54.59/34.79 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))),
% 54.59/34.79 inference(quant_intro,[status(thm)],[25008])).
% 54.59/34.79 tff(25010,plain,
% 54.59/34.79 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1))) <=> ![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(25011,axiom,(![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10_1_1_4')).
% 54.59/34.79 tff(25012,plain,
% 54.59/34.79 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[25011, 25010])).
% 54.59/34.79 tff(25013,plain,(
% 54.59/34.79 ![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))),
% 54.59/34.79 inference(skolemize,[status(sab)],[25012])).
% 54.59/34.79 tff(25014,plain,
% 54.59/34.79 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[25013, 25009])).
% 54.59/34.79 tff(25015,plain,
% 54.59/34.79 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB149)) | (~v88(constB149, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB149)) | (~v88(constB149, 1)))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(25016,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB149)) | (~v88(constB149, 1)))),
% 54.59/34.79 inference(quant_inst,[status(thm)],[])).
% 54.59/34.79 tff(25017,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB149)) | (~v88(constB149, 1))),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[25016, 25015])).
% 54.59/34.79 tff(25018,plain,
% 54.59/34.79 (~v140(constB149)),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[25017, 25014, 24940])).
% 54.59/34.79 tff(25019,plain,
% 54.59/34.79 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB149) | v140(constB149) | (~v170(constB149)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB149) | v140(constB149) | (~v170(constB149)))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(25020,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB149) | v140(constB149) | (~v170(constB149)))),
% 54.59/34.79 inference(quant_inst,[status(thm)],[])).
% 54.59/34.79 tff(25021,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB149) | v140(constB149) | (~v170(constB149))),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[25020, 25019])).
% 54.59/34.79 tff(25022,plain,
% 54.59/34.79 (~v170(constB149)),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[25021, 13928, 25018, 25007])).
% 54.59/34.79 tff(25023,plain,
% 54.59/34.79 (^[VarCurr: state_type] : refl(((~v141(VarCurr)) | v88(VarCurr, 0)) <=> ((~v141(VarCurr)) | v88(VarCurr, 0)))),
% 54.59/34.79 inference(bind,[status(th)],[])).
% 54.59/34.79 tff(25024,plain,
% 54.59/34.79 (![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))),
% 54.59/34.79 inference(quant_intro,[status(thm)],[25023])).
% 54.59/34.79 tff(25025,plain,
% 54.59/34.79 (![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(25026,axiom,(![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_11_1_1_3')).
% 54.59/34.79 tff(25027,plain,
% 54.59/34.79 (![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[25026, 25025])).
% 54.59/34.79 tff(25028,plain,(
% 54.59/34.79 ![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))),
% 54.59/34.79 inference(skolemize,[status(sab)],[25027])).
% 54.59/34.79 tff(25029,plain,
% 54.59/34.79 (![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[25028, 25024])).
% 54.59/34.79 tff(25030,plain,
% 54.59/34.79 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | ((~v141(constB149)) | v88(constB149, 0))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | (~v141(constB149)) | v88(constB149, 0))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(25031,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | ((~v141(constB149)) | v88(constB149, 0))),
% 54.59/34.79 inference(quant_inst,[status(thm)],[])).
% 54.59/34.79 tff(25032,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | (~v141(constB149)) | v88(constB149, 0)),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[25031, 25030])).
% 54.59/34.79 tff(25033,plain,
% 54.59/34.79 (~v141(constB149)),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[25032, 25029, 24898])).
% 54.59/34.79 tff(25034,plain,
% 54.59/34.79 (((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB149) | v170(constB149) | (~v169(constB149)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB149) | v170(constB149) | (~v169(constB149)))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(25035,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB149) | v170(constB149) | (~v169(constB149)))),
% 54.59/34.79 inference(quant_inst,[status(thm)],[])).
% 54.59/34.79 tff(25036,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB149) | v170(constB149) | (~v169(constB149))),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[25035, 25034])).
% 54.59/34.79 tff(25037,plain,
% 54.59/34.79 (~v169(constB149)),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[25036, 13953, 25033, 25022])).
% 54.59/34.79 tff(25038,plain,
% 54.59/34.79 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB149)) | (~v165(constB149)) | v169(constB149))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB149)) | (~v165(constB149)) | v169(constB149))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(25039,plain,
% 54.59/34.79 (((~v165(constB149)) | v169(constB149) | (~v162(constB149))) <=> ((~v162(constB149)) | (~v165(constB149)) | v169(constB149))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(25040,plain,
% 54.59/34.79 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB149)) | v169(constB149) | (~v162(constB149)))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB149)) | (~v165(constB149)) | v169(constB149)))),
% 54.59/34.79 inference(monotonicity,[status(thm)],[25039])).
% 54.59/34.79 tff(25041,plain,
% 54.59/34.79 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB149)) | v169(constB149) | (~v162(constB149)))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB149)) | (~v165(constB149)) | v169(constB149))),
% 54.59/34.79 inference(transitivity,[status(thm)],[25040, 25038])).
% 54.59/34.79 tff(25042,plain,
% 54.59/34.79 ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB149)) | v169(constB149) | (~v162(constB149)))),
% 54.59/34.79 inference(quant_inst,[status(thm)],[])).
% 54.59/34.79 tff(25043,plain,
% 54.59/34.79 ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB149)) | (~v165(constB149)) | v169(constB149)),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[25042, 25041])).
% 54.59/34.79 tff(25044,plain,
% 54.59/34.79 ((~v162(constB149)) | (~v165(constB149))),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[25043, 14054, 25037])).
% 54.59/34.79 tff(25045,plain,
% 54.59/34.79 (~v162(constB149)),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[25044, 24996])).
% 54.59/34.79 tff(25046,plain,
% 54.59/34.79 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB149) | (~v187(constB149)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB149) | (~v187(constB149)))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(25047,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB149) | (~v187(constB149)))),
% 54.59/34.79 inference(quant_inst,[status(thm)],[])).
% 54.59/34.79 tff(25048,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB149) | (~v187(constB149))),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[25047, 25046])).
% 54.59/34.79 tff(25049,plain,
% 54.59/34.79 (~v187(constB149)),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[25048, 14071, 25045])).
% 54.59/34.79 tff(25050,plain,
% 54.59/34.79 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB149) | (~v185(constB149)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB149) | (~v185(constB149)))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(25051,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB149) | (~v185(constB149)))),
% 54.59/34.79 inference(quant_inst,[status(thm)],[])).
% 54.59/34.79 tff(25052,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB149) | (~v185(constB149))),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[25051, 25050])).
% 54.59/34.79 tff(25053,plain,
% 54.59/34.79 (~v185(constB149)),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[25052, 14085, 25049])).
% 54.59/34.79 tff(25054,assumption,(v18(constB150)), introduced(assumption)).
% 54.59/34.79 tff(25055,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB150))),
% 54.59/34.79 inference(quant_inst,[status(thm)],[])).
% 54.59/34.79 tff(25056,plain,
% 54.59/34.79 ($false),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[25055, 14194, 25054])).
% 54.59/34.79 tff(25057,plain,(~v18(constB150)), inference(lemma,lemma(discharge,[]))).
% 54.59/34.79 tff(25058,plain,
% 54.59/34.79 (v1(constB150) <=> v1(constB150)),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(25059,axiom,(v1(constB150)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_150_1')).
% 54.59/34.79 tff(25060,plain,
% 54.59/34.79 (v1(constB150)),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[25059, 25058])).
% 54.59/34.79 tff(25061,plain,
% 54.59/34.79 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB150) | (~v1(constB150)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB150) | (~v1(constB150)))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(25062,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB150) | (~v1(constB150)))),
% 54.59/34.79 inference(quant_inst,[status(thm)],[])).
% 54.59/34.79 tff(25063,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB150) | (~v1(constB150))),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[25062, 25061])).
% 54.59/34.79 tff(25064,plain,
% 54.59/34.79 (v22(constB150)),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[25063, 14207, 25060])).
% 54.59/34.79 tff(25065,plain,
% 54.59/34.79 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB150) | (~v22(constB150)) | (~v19(constB150)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB150) | (~v22(constB150)) | (~v19(constB150)))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(25066,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB150) | (~v22(constB150)) | (~v19(constB150)))),
% 54.59/34.79 inference(quant_inst,[status(thm)],[])).
% 54.59/34.79 tff(25067,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB150) | (~v22(constB150)) | (~v19(constB150))),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[25066, 25065])).
% 54.59/34.79 tff(25068,plain,
% 54.59/34.79 (v18(constB150) | (~v19(constB150))),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[25067, 14221, 25064])).
% 54.59/34.79 tff(25069,plain,
% 54.59/34.79 (~v19(constB150)),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[25068, 25057])).
% 54.59/34.79 tff(25070,plain,
% 54.59/34.79 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB150) | v19(constB150))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB150) | v19(constB150))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(25071,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB150) | v19(constB150))),
% 54.59/34.79 inference(quant_inst,[status(thm)],[])).
% 54.59/34.79 tff(25072,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB150) | v19(constB150)),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[25071, 25070])).
% 54.59/34.79 tff(25073,plain,
% 54.59/34.79 (v13(constB150)),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[25072, 14233, 25069])).
% 54.59/34.79 tff(25074,plain,
% 54.59/34.79 (nextState(constB149, constB150) <=> nextState(constB149, constB150)),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(25075,axiom,(nextState(constB149, constB150)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_149_1')).
% 54.59/34.79 tff(25076,plain,
% 54.59/34.79 (nextState(constB149, constB150)),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[25075, 25074])).
% 54.59/34.79 tff(25077,plain,
% 54.59/34.79 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB149) | (~v13(constB150)) | (~nextState(constB149, constB150)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB149) | (~v13(constB150)) | (~nextState(constB149, constB150)))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(25078,plain,
% 54.59/34.79 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB149) | (~v13(constB150)) | (~nextState(constB149, constB150)))),
% 54.59/34.79 inference(quant_inst,[status(thm)],[])).
% 54.59/34.79 tff(25079,plain,
% 54.59/34.79 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB149) | (~v13(constB150)) | (~nextState(constB149, constB150))),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[25078, 25077])).
% 54.59/34.79 tff(25080,plain,
% 54.59/34.79 (v9(constB149) | (~v13(constB150))),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[25079, 14247, 25076])).
% 54.59/34.79 tff(25081,plain,
% 54.59/34.79 (v9(constB149)),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[25080, 25073])).
% 54.59/34.79 tff(25082,plain,
% 54.59/34.79 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB149) | (~v9(constB149)) | v184(constB149))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB149) | (~v9(constB149)) | v184(constB149))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(25083,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB149) | (~v9(constB149)) | v184(constB149))),
% 54.59/34.79 inference(quant_inst,[status(thm)],[])).
% 54.59/34.79 tff(25084,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB149) | (~v9(constB149)) | v184(constB149)),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[25083, 25082])).
% 54.59/34.79 tff(25085,plain,
% 54.59/34.79 ((~v9(constB149)) | v184(constB149)),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[25084, 14262, 24850])).
% 54.59/34.79 tff(25086,plain,
% 54.59/34.79 (v184(constB149)),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[25085, 25081])).
% 54.59/34.79 tff(25087,plain,
% 54.59/34.79 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB149) | (~v184(constB149)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB149) | (~v184(constB149)))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(25088,plain,
% 54.59/34.79 (((~v184(constB149)) | v183(constB149)) <=> (v183(constB149) | (~v184(constB149)))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(25089,plain,
% 54.59/34.79 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB149)) | v183(constB149))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB149) | (~v184(constB149))))),
% 54.59/34.79 inference(monotonicity,[status(thm)],[25088])).
% 54.59/34.79 tff(25090,plain,
% 54.59/34.79 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB149)) | v183(constB149))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB149) | (~v184(constB149)))),
% 54.59/34.79 inference(transitivity,[status(thm)],[25089, 25087])).
% 54.59/34.79 tff(25091,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB149)) | v183(constB149))),
% 54.59/34.79 inference(quant_inst,[status(thm)],[])).
% 54.59/34.79 tff(25092,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB149) | (~v184(constB149))),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[25091, 25090])).
% 54.59/34.79 tff(25093,plain,
% 54.59/34.79 (v183(constB149)),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[25092, 14274, 25086])).
% 54.59/34.79 tff(25094,plain,
% 54.59/34.79 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB149)) | (~v183(constB149)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB149)) | (~v183(constB149)))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(25095,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB149)) | (~v183(constB149)))),
% 54.59/34.79 inference(quant_inst,[status(thm)],[])).
% 54.59/34.79 tff(25096,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB149)) | (~v183(constB149))),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[25095, 25094])).
% 54.59/34.79 tff(25097,plain,
% 54.59/34.79 (~v181(constB149)),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[25096, 14288, 25093])).
% 54.59/34.79 tff(25098,plain,
% 54.59/34.79 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB149) | v185(constB149) | (~v178(constB149)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB149) | v185(constB149) | (~v178(constB149)))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(25099,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB149) | v185(constB149) | (~v178(constB149)))),
% 54.59/34.79 inference(quant_inst,[status(thm)],[])).
% 54.59/34.79 tff(25100,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB149) | v185(constB149) | (~v178(constB149))),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[25099, 25098])).
% 54.59/34.79 tff(25101,plain,
% 54.59/34.79 (v185(constB149) | (~v178(constB149))),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[25100, 14302, 25097])).
% 54.59/34.79 tff(25102,plain,
% 54.59/34.79 (~v178(constB149)),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[25101, 25053])).
% 54.59/34.79 tff(25103,plain,
% 54.59/34.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB149, constB150)) | v178(constB149) | (~v180(constB150)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB149, constB150)) | v178(constB149) | (~v180(constB150)))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(25104,plain,
% 54.59/34.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB149, constB150)) | v178(constB149) | (~v180(constB150)))),
% 54.59/34.79 inference(quant_inst,[status(thm)],[])).
% 54.59/34.79 tff(25105,plain,
% 54.59/34.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB149, constB150)) | v178(constB149) | (~v180(constB150))),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[25104, 25103])).
% 54.59/34.79 tff(25106,plain,
% 54.59/34.79 (v178(constB149) | (~v180(constB150))),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[25105, 14317, 25076])).
% 54.59/34.79 tff(25107,plain,
% 54.59/34.79 (~v180(constB150)),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[25106, 25102])).
% 54.59/34.79 tff(25108,plain,
% 54.59/34.79 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB150) | (~v181(constB150)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB150) | (~v181(constB150)))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(25109,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB150) | (~v181(constB150)))),
% 54.59/34.79 inference(quant_inst,[status(thm)],[])).
% 54.59/34.79 tff(25110,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB150) | (~v181(constB150))),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[25109, 25108])).
% 54.59/34.79 tff(25111,plain,
% 54.59/34.79 (~v181(constB150)),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[25110, 14332, 25107])).
% 54.59/34.79 tff(25112,plain,
% 54.59/34.79 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB150)) | (~v184(constB150)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB150)) | (~v184(constB150)))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(25113,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB150)) | (~v184(constB150)))),
% 54.59/34.79 inference(quant_inst,[status(thm)],[])).
% 54.59/34.79 tff(25114,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB150)) | (~v184(constB150))),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[25113, 25112])).
% 54.59/34.79 tff(25115,plain,
% 54.59/34.79 (~v184(constB150)),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[25114, 88, 25060])).
% 54.59/34.79 tff(25116,plain,
% 54.59/34.79 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB150) | (~v187(constB150)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB150) | (~v187(constB150)))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(25117,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB150) | (~v187(constB150)))),
% 54.59/34.79 inference(quant_inst,[status(thm)],[])).
% 54.59/34.79 tff(25118,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB150) | (~v187(constB150))),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[25117, 25116])).
% 54.59/34.79 tff(25119,plain,
% 54.59/34.79 (~v187(constB150)),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[25118, 14350, 25115])).
% 54.59/34.79 tff(25120,plain,
% 54.59/34.79 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB150) | (~v185(constB150)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB150) | (~v185(constB150)))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(25121,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB150) | (~v185(constB150)))),
% 54.59/34.79 inference(quant_inst,[status(thm)],[])).
% 54.59/34.79 tff(25122,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB150) | (~v185(constB150))),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[25121, 25120])).
% 54.59/34.79 tff(25123,plain,
% 54.59/34.79 (~v185(constB150)),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[25122, 14085, 25119])).
% 54.59/34.79 tff(25124,plain,
% 54.59/34.79 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB150) | v185(constB150) | (~v178(constB150)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB150) | v185(constB150) | (~v178(constB150)))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(25125,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB150) | v185(constB150) | (~v178(constB150)))),
% 54.59/34.79 inference(quant_inst,[status(thm)],[])).
% 54.59/34.79 tff(25126,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB150) | v185(constB150) | (~v178(constB150))),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[25125, 25124])).
% 54.59/34.79 tff(25127,plain,
% 54.59/34.79 (v181(constB150) | (~v178(constB150))),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[25126, 14302, 25123])).
% 54.59/34.79 tff(25128,plain,
% 54.59/34.79 (~v178(constB150)),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[25127, 25111])).
% 54.59/34.79 tff(25129,plain,
% 54.59/34.79 (nextState(constB150, constB151) <=> nextState(constB150, constB151)),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(25130,axiom,(nextState(constB150, constB151)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_150_1')).
% 54.59/34.79 tff(25131,plain,
% 54.59/34.79 (nextState(constB150, constB151)),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[25130, 25129])).
% 54.59/34.79 tff(25132,plain,
% 54.59/34.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB150, constB151)) | v178(constB150) | (~v180(constB151)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB150, constB151)) | v178(constB150) | (~v180(constB151)))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(25133,plain,
% 54.59/34.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB150, constB151)) | v178(constB150) | (~v180(constB151)))),
% 54.59/34.79 inference(quant_inst,[status(thm)],[])).
% 54.59/34.79 tff(25134,plain,
% 54.59/34.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB150, constB151)) | v178(constB150) | (~v180(constB151))),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[25133, 25132])).
% 54.59/34.79 tff(25135,plain,
% 54.59/34.79 (v178(constB150) | (~v180(constB151))),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[25134, 14317, 25131])).
% 54.59/34.79 tff(25136,plain,
% 54.59/34.79 (~v180(constB151)),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[25135, 25128])).
% 54.59/34.79 tff(25137,plain,
% 54.59/34.79 ($false),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[25136, 14424])).
% 54.59/34.79 tff(25138,plain,((~(constB151 = sK_VarCurr)) | (~v180(sK_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 54.59/34.79 tff(25139,plain,
% 54.59/34.79 (~(constB151 = sK_VarCurr)),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[25138, 815])).
% 54.59/34.79 tff(25140,assumption,(constB43 = sK_VarCurr), introduced(assumption)).
% 54.59/34.79 tff(25141,plain,
% 54.59/34.79 (v180(constB43) <=> v180(sK_VarCurr)),
% 54.59/34.79 inference(monotonicity,[status(thm)],[25140])).
% 54.59/34.79 tff(25142,plain,
% 54.59/34.79 (v180(sK_VarCurr) <=> v180(constB43)),
% 54.59/34.79 inference(symmetry,[status(thm)],[25141])).
% 54.59/34.79 tff(25143,plain,
% 54.59/34.79 (v180(constB43)),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[819, 25142])).
% 54.59/34.79 tff(25144,plain,
% 54.59/34.79 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB41, 2)) | v90(constB41, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB41, 2)) | v90(constB41, 2))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(25145,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB41, 2)) | v90(constB41, 2))),
% 54.59/34.79 inference(quant_inst,[status(thm)],[])).
% 54.59/34.79 tff(25146,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB41, 2)) | v90(constB41, 2)),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[25145, 25144])).
% 54.59/34.79 tff(25147,plain,
% 54.59/34.79 (~v88(constB41, 2)),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[25146, 24881, 8096])).
% 54.59/34.79 tff(25148,plain,
% 54.59/34.79 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB41, 0)) | v90(constB41, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB41, 0)) | v90(constB41, 0))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(25149,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB41, 0)) | v90(constB41, 0))),
% 54.59/34.79 inference(quant_inst,[status(thm)],[])).
% 54.59/34.79 tff(25150,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB41, 0)) | v90(constB41, 0)),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[25149, 25148])).
% 54.59/34.79 tff(25151,plain,
% 54.59/34.79 (~v88(constB41, 0)),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[25150, 14132, 8157])).
% 54.59/34.79 tff(25152,plain,
% 54.59/34.79 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB41, 1)) | v88(constB41, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB41, 1)) | v88(constB41, 1))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(25153,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB41, 1)) | v88(constB41, 1))),
% 54.59/34.79 inference(quant_inst,[status(thm)],[])).
% 54.59/34.79 tff(25154,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB41, 1)) | v88(constB41, 1)),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[25153, 25152])).
% 54.59/34.79 tff(25155,plain,
% 54.59/34.79 (v88(constB41, 1)),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[25154, 24936, 8127])).
% 54.59/34.79 tff(25156,plain,
% 54.59/34.79 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | ((~v88(constB41, 1)) | v88(constB41, 2) | v88(constB41, 0) | v143(constB41))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (~v88(constB41, 1)) | v88(constB41, 2) | v88(constB41, 0) | v143(constB41))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(25157,plain,
% 54.59/34.79 ((v88(constB41, 2) | (~v88(constB41, 1)) | v88(constB41, 0) | v143(constB41)) <=> ((~v88(constB41, 1)) | v88(constB41, 2) | v88(constB41, 0) | v143(constB41))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(25158,plain,
% 54.59/34.79 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB41, 2) | (~v88(constB41, 1)) | v88(constB41, 0) | v143(constB41))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | ((~v88(constB41, 1)) | v88(constB41, 2) | v88(constB41, 0) | v143(constB41)))),
% 54.59/34.79 inference(monotonicity,[status(thm)],[25157])).
% 54.59/34.79 tff(25159,plain,
% 54.59/34.79 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB41, 2) | (~v88(constB41, 1)) | v88(constB41, 0) | v143(constB41))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (~v88(constB41, 1)) | v88(constB41, 2) | v88(constB41, 0) | v143(constB41))),
% 54.59/34.79 inference(transitivity,[status(thm)],[25158, 25156])).
% 54.59/34.79 tff(25160,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB41, 2) | (~v88(constB41, 1)) | v88(constB41, 0) | v143(constB41))),
% 54.59/34.79 inference(quant_inst,[status(thm)],[])).
% 54.59/34.79 tff(25161,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (~v88(constB41, 1)) | v88(constB41, 2) | v88(constB41, 0) | v143(constB41)),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[25160, 25159])).
% 54.59/34.79 tff(25162,plain,
% 54.59/34.79 (v143(constB41)),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[25161, 24950, 25155, 25151, 25147])).
% 54.59/34.79 tff(25163,plain,
% 54.59/34.79 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB41)) | v142(constB41))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB41)) | v142(constB41))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(25164,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB41)) | v142(constB41))),
% 54.59/34.79 inference(quant_inst,[status(thm)],[])).
% 54.59/34.79 tff(25165,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB41)) | v142(constB41)),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[25164, 25163])).
% 54.59/34.79 tff(25166,plain,
% 54.59/34.79 (v142(constB41)),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[25165, 24964, 25162])).
% 54.59/34.79 tff(25167,plain,
% 54.59/34.79 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v166(VarCurr))) | ((~v142(constB41)) | v166(constB41))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v166(VarCurr))) | (~v142(constB41)) | v166(constB41))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(25168,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v166(VarCurr))) | ((~v142(constB41)) | v166(constB41))),
% 54.59/34.79 inference(quant_inst,[status(thm)],[])).
% 54.59/34.79 tff(25169,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v166(VarCurr))) | (~v142(constB41)) | v166(constB41)),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[25168, 25167])).
% 54.59/34.79 tff(25170,plain,
% 54.59/34.79 (v166(constB41)),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[25169, 24978, 25166])).
% 54.59/34.79 tff(25171,plain,
% 54.59/34.79 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (v165(constB41) | (~v166(constB41)))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB41) | (~v166(constB41)))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(25172,plain,
% 54.59/34.79 (((~v166(constB41)) | v165(constB41)) <=> (v165(constB41) | (~v166(constB41)))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(25173,plain,
% 54.59/34.79 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB41)) | v165(constB41))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (v165(constB41) | (~v166(constB41))))),
% 54.59/34.79 inference(monotonicity,[status(thm)],[25172])).
% 54.59/34.79 tff(25174,plain,
% 54.59/34.79 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB41)) | v165(constB41))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB41) | (~v166(constB41)))),
% 54.59/34.79 inference(transitivity,[status(thm)],[25173, 25171])).
% 54.59/34.79 tff(25175,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB41)) | v165(constB41))),
% 54.59/34.79 inference(quant_inst,[status(thm)],[])).
% 54.59/34.79 tff(25176,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB41) | (~v166(constB41))),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[25175, 25174])).
% 54.59/34.79 tff(25177,plain,
% 54.59/34.79 (v165(constB41)),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[25176, 24989, 25170])).
% 54.59/34.79 tff(25178,plain,
% 54.59/34.79 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB41)) | (~v88(constB41, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB41)) | (~v88(constB41, 1)))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(25179,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB41)) | (~v88(constB41, 1)))),
% 54.59/34.79 inference(quant_inst,[status(thm)],[])).
% 54.59/34.79 tff(25180,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB41)) | (~v88(constB41, 1))),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[25179, 25178])).
% 54.59/34.79 tff(25181,plain,
% 54.59/34.79 (~v139(constB41)),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[25180, 25003, 25155])).
% 54.59/34.79 tff(25182,plain,
% 54.59/34.79 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB41)) | (~v88(constB41, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB41)) | (~v88(constB41, 1)))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(25183,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB41)) | (~v88(constB41, 1)))),
% 54.59/34.79 inference(quant_inst,[status(thm)],[])).
% 54.59/34.79 tff(25184,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB41)) | (~v88(constB41, 1))),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[25183, 25182])).
% 54.59/34.79 tff(25185,plain,
% 54.59/34.79 (~v140(constB41)),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[25184, 25014, 25155])).
% 54.59/34.79 tff(25186,plain,
% 54.59/34.79 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB41) | v140(constB41) | (~v170(constB41)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB41) | v140(constB41) | (~v170(constB41)))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(25187,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB41) | v140(constB41) | (~v170(constB41)))),
% 54.59/34.79 inference(quant_inst,[status(thm)],[])).
% 54.59/34.79 tff(25188,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB41) | v140(constB41) | (~v170(constB41))),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[25187, 25186])).
% 54.59/34.79 tff(25189,plain,
% 54.59/34.79 (~v170(constB41)),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[25188, 13928, 25185, 25181])).
% 54.59/34.79 tff(25190,plain,
% 54.59/34.79 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | ((~v141(constB41)) | v88(constB41, 0))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | (~v141(constB41)) | v88(constB41, 0))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(25191,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | ((~v141(constB41)) | v88(constB41, 0))),
% 54.59/34.79 inference(quant_inst,[status(thm)],[])).
% 54.59/34.79 tff(25192,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | (~v141(constB41)) | v88(constB41, 0)),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[25191, 25190])).
% 54.59/34.79 tff(25193,plain,
% 54.59/34.79 (~v141(constB41)),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[25192, 25029, 25151])).
% 54.59/34.79 tff(25194,plain,
% 54.59/34.79 (((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB41) | v170(constB41) | (~v169(constB41)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB41) | v170(constB41) | (~v169(constB41)))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(25195,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB41) | v170(constB41) | (~v169(constB41)))),
% 54.59/34.79 inference(quant_inst,[status(thm)],[])).
% 54.59/34.79 tff(25196,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB41) | v170(constB41) | (~v169(constB41))),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[25195, 25194])).
% 54.59/34.79 tff(25197,plain,
% 54.59/34.79 (~v169(constB41)),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[25196, 13953, 25193, 25189])).
% 54.59/34.79 tff(25198,plain,
% 54.59/34.79 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB41)) | (~v165(constB41)) | v169(constB41))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB41)) | (~v165(constB41)) | v169(constB41))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(25199,plain,
% 54.59/34.79 (((~v165(constB41)) | v169(constB41) | (~v162(constB41))) <=> ((~v162(constB41)) | (~v165(constB41)) | v169(constB41))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(25200,plain,
% 54.59/34.79 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB41)) | v169(constB41) | (~v162(constB41)))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB41)) | (~v165(constB41)) | v169(constB41)))),
% 54.59/34.79 inference(monotonicity,[status(thm)],[25199])).
% 54.59/34.79 tff(25201,plain,
% 54.59/34.79 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB41)) | v169(constB41) | (~v162(constB41)))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB41)) | (~v165(constB41)) | v169(constB41))),
% 54.59/34.79 inference(transitivity,[status(thm)],[25200, 25198])).
% 54.59/34.79 tff(25202,plain,
% 54.59/34.79 ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB41)) | v169(constB41) | (~v162(constB41)))),
% 54.59/34.79 inference(quant_inst,[status(thm)],[])).
% 54.59/34.79 tff(25203,plain,
% 54.59/34.79 ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB41)) | (~v165(constB41)) | v169(constB41)),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[25202, 25201])).
% 54.59/34.79 tff(25204,plain,
% 54.59/34.79 ((~v162(constB41)) | (~v165(constB41))),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[25203, 14054, 25197])).
% 54.59/34.79 tff(25205,plain,
% 54.59/34.79 (~v162(constB41)),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[25204, 25177])).
% 54.59/34.79 tff(25206,plain,
% 54.59/34.79 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB41) | (~v187(constB41)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB41) | (~v187(constB41)))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(25207,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB41) | (~v187(constB41)))),
% 54.59/34.79 inference(quant_inst,[status(thm)],[])).
% 54.59/34.79 tff(25208,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB41) | (~v187(constB41))),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[25207, 25206])).
% 54.59/34.79 tff(25209,plain,
% 54.59/34.79 (~v187(constB41)),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[25208, 14071, 25205])).
% 54.59/34.79 tff(25210,plain,
% 54.59/34.79 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB41) | (~v185(constB41)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB41) | (~v185(constB41)))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(25211,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB41) | (~v185(constB41)))),
% 54.59/34.79 inference(quant_inst,[status(thm)],[])).
% 54.59/34.79 tff(25212,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB41) | (~v185(constB41))),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[25211, 25210])).
% 54.59/34.79 tff(25213,plain,
% 54.59/34.79 (~v185(constB41)),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[25212, 14085, 25209])).
% 54.59/34.79 tff(25214,assumption,(v18(constB42)), introduced(assumption)).
% 54.59/34.79 tff(25215,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB42))),
% 54.59/34.79 inference(quant_inst,[status(thm)],[])).
% 54.59/34.79 tff(25216,plain,
% 54.59/34.79 ($false),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[25215, 14194, 25214])).
% 54.59/34.79 tff(25217,plain,(~v18(constB42)), inference(lemma,lemma(discharge,[]))).
% 54.59/34.79 tff(25218,plain,
% 54.59/34.79 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB42) | (~v1(constB42)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB42) | (~v1(constB42)))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(25219,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB42) | (~v1(constB42)))),
% 54.59/34.79 inference(quant_inst,[status(thm)],[])).
% 54.59/34.79 tff(25220,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB42) | (~v1(constB42))),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[25219, 25218])).
% 54.59/34.79 tff(25221,plain,
% 54.59/34.79 (v22(constB42)),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[25220, 14207, 607])).
% 54.59/34.79 tff(25222,plain,
% 54.59/34.79 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB42) | (~v22(constB42)) | (~v19(constB42)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB42) | (~v22(constB42)) | (~v19(constB42)))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(25223,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB42) | (~v22(constB42)) | (~v19(constB42)))),
% 54.59/34.79 inference(quant_inst,[status(thm)],[])).
% 54.59/34.79 tff(25224,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB42) | (~v22(constB42)) | (~v19(constB42))),
% 54.59/34.79 inference(modus_ponens,[status(thm)],[25223, 25222])).
% 54.59/34.79 tff(25225,plain,
% 54.59/34.79 (v18(constB42) | (~v19(constB42))),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[25224, 14221, 25221])).
% 54.59/34.79 tff(25226,plain,
% 54.59/34.79 (~v19(constB42)),
% 54.59/34.79 inference(unit_resolution,[status(thm)],[25225, 25217])).
% 54.59/34.79 tff(25227,plain,
% 54.59/34.79 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB42) | v19(constB42))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB42) | v19(constB42))),
% 54.59/34.79 inference(rewrite,[status(thm)],[])).
% 54.59/34.79 tff(25228,plain,
% 54.59/34.79 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB42) | v19(constB42))),
% 54.59/34.80 inference(quant_inst,[status(thm)],[])).
% 54.59/34.80 tff(25229,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB42) | v19(constB42)),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25228, 25227])).
% 54.59/34.80 tff(25230,plain,
% 54.59/34.80 (v13(constB42)),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25229, 14233, 25226])).
% 54.59/34.80 tff(25231,plain,
% 54.59/34.80 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB41) | (~v13(constB42)) | (~nextState(constB41, constB42)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB41) | (~v13(constB42)) | (~nextState(constB41, constB42)))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25232,plain,
% 54.59/34.80 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB41) | (~v13(constB42)) | (~nextState(constB41, constB42)))),
% 54.59/34.80 inference(quant_inst,[status(thm)],[])).
% 54.59/34.80 tff(25233,plain,
% 54.59/34.80 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB41) | (~v13(constB42)) | (~nextState(constB41, constB42))),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25232, 25231])).
% 54.59/34.80 tff(25234,plain,
% 54.59/34.80 (v9(constB41) | (~v13(constB42))),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25233, 14247, 8206])).
% 54.59/34.80 tff(25235,plain,
% 54.59/34.80 (v9(constB41)),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25234, 25230])).
% 54.59/34.80 tff(25236,plain,
% 54.59/34.80 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB41) | (~v9(constB41)) | v184(constB41))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB41) | (~v9(constB41)) | v184(constB41))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25237,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB41) | (~v9(constB41)) | v184(constB41))),
% 54.59/34.80 inference(quant_inst,[status(thm)],[])).
% 54.59/34.80 tff(25238,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB41) | (~v9(constB41)) | v184(constB41)),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25237, 25236])).
% 54.59/34.80 tff(25239,plain,
% 54.59/34.80 ((~v9(constB41)) | v184(constB41)),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25238, 14262, 8072])).
% 54.59/34.80 tff(25240,plain,
% 54.59/34.80 (v184(constB41)),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25239, 25235])).
% 54.59/34.80 tff(25241,plain,
% 54.59/34.80 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB41)) | v183(constB41))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB41)) | v183(constB41))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25242,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB41)) | v183(constB41))),
% 54.59/34.80 inference(quant_inst,[status(thm)],[])).
% 54.59/34.80 tff(25243,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB41)) | v183(constB41)),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25242, 25241])).
% 54.59/34.80 tff(25244,plain,
% 54.59/34.80 (v183(constB41)),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25243, 14274, 25240])).
% 54.59/34.80 tff(25245,plain,
% 54.59/34.80 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB41)) | (~v183(constB41)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB41)) | (~v183(constB41)))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25246,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB41)) | (~v183(constB41)))),
% 54.59/34.80 inference(quant_inst,[status(thm)],[])).
% 54.59/34.80 tff(25247,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB41)) | (~v183(constB41))),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25246, 25245])).
% 54.59/34.80 tff(25248,plain,
% 54.59/34.80 (~v181(constB41)),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25247, 14288, 25244])).
% 54.59/34.80 tff(25249,plain,
% 54.59/34.80 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB41) | v185(constB41) | (~v178(constB41)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB41) | v185(constB41) | (~v178(constB41)))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25250,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB41) | v185(constB41) | (~v178(constB41)))),
% 54.59/34.80 inference(quant_inst,[status(thm)],[])).
% 54.59/34.80 tff(25251,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB41) | v185(constB41) | (~v178(constB41))),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25250, 25249])).
% 54.59/34.80 tff(25252,plain,
% 54.59/34.80 (v185(constB41) | (~v178(constB41))),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25251, 14302, 25248])).
% 54.59/34.80 tff(25253,plain,
% 54.59/34.80 (~v178(constB41)),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25252, 25213])).
% 54.59/34.80 tff(25254,plain,
% 54.59/34.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB41, constB42)) | v178(constB41) | (~v180(constB42)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB41, constB42)) | v178(constB41) | (~v180(constB42)))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25255,plain,
% 54.59/34.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB41, constB42)) | v178(constB41) | (~v180(constB42)))),
% 54.59/34.80 inference(quant_inst,[status(thm)],[])).
% 54.59/34.80 tff(25256,plain,
% 54.59/34.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB41, constB42)) | v178(constB41) | (~v180(constB42))),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25255, 25254])).
% 54.59/34.80 tff(25257,plain,
% 54.59/34.80 (v178(constB41) | (~v180(constB42))),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25256, 14317, 8206])).
% 54.59/34.80 tff(25258,plain,
% 54.59/34.80 (~v180(constB42)),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25257, 25253])).
% 54.59/34.80 tff(25259,plain,
% 54.59/34.80 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB42) | (~v181(constB42)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB42) | (~v181(constB42)))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25260,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB42) | (~v181(constB42)))),
% 54.59/34.80 inference(quant_inst,[status(thm)],[])).
% 54.59/34.80 tff(25261,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB42) | (~v181(constB42))),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25260, 25259])).
% 54.59/34.80 tff(25262,plain,
% 54.59/34.80 (~v181(constB42)),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25261, 14332, 25258])).
% 54.59/34.80 tff(25263,plain,
% 54.59/34.80 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB42)) | (~v184(constB42)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB42)) | (~v184(constB42)))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25264,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB42)) | (~v184(constB42)))),
% 54.59/34.80 inference(quant_inst,[status(thm)],[])).
% 54.59/34.80 tff(25265,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB42)) | (~v184(constB42))),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25264, 25263])).
% 54.59/34.80 tff(25266,plain,
% 54.59/34.80 (~v184(constB42)),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25265, 88, 607])).
% 54.59/34.80 tff(25267,plain,
% 54.59/34.80 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB42) | (~v187(constB42)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB42) | (~v187(constB42)))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25268,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB42) | (~v187(constB42)))),
% 54.59/34.80 inference(quant_inst,[status(thm)],[])).
% 54.59/34.80 tff(25269,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB42) | (~v187(constB42))),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25268, 25267])).
% 54.59/34.80 tff(25270,plain,
% 54.59/34.80 (~v187(constB42)),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25269, 14350, 25266])).
% 54.59/34.80 tff(25271,plain,
% 54.59/34.80 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB42) | (~v185(constB42)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB42) | (~v185(constB42)))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25272,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB42) | (~v185(constB42)))),
% 54.59/34.80 inference(quant_inst,[status(thm)],[])).
% 54.59/34.80 tff(25273,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB42) | (~v185(constB42))),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25272, 25271])).
% 54.59/34.80 tff(25274,plain,
% 54.59/34.80 (~v185(constB42)),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25273, 14085, 25270])).
% 54.59/34.80 tff(25275,plain,
% 54.59/34.80 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB42) | v185(constB42) | (~v178(constB42)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB42) | v185(constB42) | (~v178(constB42)))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25276,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB42) | v185(constB42) | (~v178(constB42)))),
% 54.59/34.80 inference(quant_inst,[status(thm)],[])).
% 54.59/34.80 tff(25277,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB42) | v185(constB42) | (~v178(constB42))),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25276, 25275])).
% 54.59/34.80 tff(25278,plain,
% 54.59/34.80 (v181(constB42) | (~v178(constB42))),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25277, 14302, 25274])).
% 54.59/34.80 tff(25279,plain,
% 54.59/34.80 (~v178(constB42)),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25278, 25262])).
% 54.59/34.80 tff(25280,plain,
% 54.59/34.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB42, constB43)) | v178(constB42) | (~v180(constB43)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB42, constB43)) | v178(constB42) | (~v180(constB43)))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25281,plain,
% 54.59/34.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB42, constB43)) | v178(constB42) | (~v180(constB43)))),
% 54.59/34.80 inference(quant_inst,[status(thm)],[])).
% 54.59/34.80 tff(25282,plain,
% 54.59/34.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB42, constB43)) | v178(constB42) | (~v180(constB43))),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25281, 25280])).
% 54.59/34.80 tff(25283,plain,
% 54.59/34.80 (v178(constB42) | (~v180(constB43))),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25282, 14317, 8265])).
% 54.59/34.80 tff(25284,plain,
% 54.59/34.80 (~v180(constB43)),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25283, 25279])).
% 54.59/34.80 tff(25285,plain,
% 54.59/34.80 ($false),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25284, 25143])).
% 54.59/34.80 tff(25286,plain,((~(constB43 = sK_VarCurr)) | (~v180(sK_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 54.59/34.80 tff(25287,plain,
% 54.59/34.80 (~(constB43 = sK_VarCurr)),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25286, 815])).
% 54.59/34.80 tff(25288,assumption,(constB101 = sK_VarCurr), introduced(assumption)).
% 54.59/34.80 tff(25289,plain,
% 54.59/34.80 (v180(constB101) <=> v180(sK_VarCurr)),
% 54.59/34.80 inference(monotonicity,[status(thm)],[25288])).
% 54.59/34.80 tff(25290,plain,
% 54.59/34.80 (v180(sK_VarCurr) <=> v180(constB101)),
% 54.59/34.80 inference(symmetry,[status(thm)],[25289])).
% 54.59/34.80 tff(25291,plain,
% 54.59/34.80 (v180(constB101)),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[819, 25290])).
% 54.59/34.80 tff(25292,plain,
% 54.59/34.80 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB99, 2)) | v90(constB99, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB99, 2)) | v90(constB99, 2))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25293,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB99, 2)) | v90(constB99, 2))),
% 54.59/34.80 inference(quant_inst,[status(thm)],[])).
% 54.59/34.80 tff(25294,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB99, 2)) | v90(constB99, 2)),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25293, 25292])).
% 54.59/34.80 tff(25295,plain,
% 54.59/34.80 (~v88(constB99, 2)),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25294, 24881, 18096])).
% 54.59/34.80 tff(25296,plain,
% 54.59/34.80 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB99, 1)) | v90(constB99, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB99, 1)) | v90(constB99, 1))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25297,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB99, 1)) | v90(constB99, 1))),
% 54.59/34.80 inference(quant_inst,[status(thm)],[])).
% 54.59/34.80 tff(25298,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB99, 1)) | v90(constB99, 1)),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25297, 25296])).
% 54.59/34.80 tff(25299,plain,
% 54.59/34.80 (~v88(constB99, 1)),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25298, 13998, 18129])).
% 54.59/34.80 tff(25300,plain,
% 54.59/34.80 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB99, 0)) | v88(constB99, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB99, 0)) | v88(constB99, 0))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25301,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB99, 0)) | v88(constB99, 0))),
% 54.59/34.80 inference(quant_inst,[status(thm)],[])).
% 54.59/34.80 tff(25302,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB99, 0)) | v88(constB99, 0)),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25301, 25300])).
% 54.59/34.80 tff(25303,plain,
% 54.59/34.80 (v88(constB99, 0)),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25302, 13903, 18066])).
% 54.59/34.80 tff(25304,plain,
% 54.59/34.80 (^[VarCurr: state_type] : refl((v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr)) <=> (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr)))),
% 54.59/34.80 inference(bind,[status(th)],[])).
% 54.59/34.80 tff(25305,plain,
% 54.59/34.80 (![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))),
% 54.59/34.80 inference(quant_intro,[status(thm)],[25304])).
% 54.59/34.80 tff(25306,plain,
% 54.59/34.80 (![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25307,plain,
% 54.59/34.80 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v88(VarCurr, 1) | v88(VarCurr, 2)) | (~v88(VarCurr, 0))) <=> (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)))), ((((v88(VarCurr, 1) | v88(VarCurr, 2)) | (~v88(VarCurr, 0))) | v140(VarCurr)) <=> ((v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0))) | v140(VarCurr)))), rewrite(((v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0))) | v140(VarCurr)) <=> (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))), ((((v88(VarCurr, 1) | v88(VarCurr, 2)) | (~v88(VarCurr, 0))) | v140(VarCurr)) <=> (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))))),
% 54.59/34.80 inference(bind,[status(th)],[])).
% 54.59/34.80 tff(25308,plain,
% 54.59/34.80 (![VarCurr: state_type] : (((v88(VarCurr, 1) | v88(VarCurr, 2)) | (~v88(VarCurr, 0))) | v140(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))),
% 54.59/34.80 inference(quant_intro,[status(thm)],[25307])).
% 54.59/34.80 tff(25309,axiom,(![VarCurr: state_type] : (((v88(VarCurr, 1) | v88(VarCurr, 2)) | (~v88(VarCurr, 0))) | v140(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10_1_1_1')).
% 54.59/34.80 tff(25310,plain,
% 54.59/34.80 (![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25309, 25308])).
% 54.59/34.80 tff(25311,plain,
% 54.59/34.80 (![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25310, 25306])).
% 54.59/34.80 tff(25312,plain,(
% 54.59/34.80 ![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))),
% 54.59/34.80 inference(skolemize,[status(sab)],[25311])).
% 54.59/34.80 tff(25313,plain,
% 54.59/34.80 (![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25312, 25305])).
% 54.59/34.80 tff(25314,plain,
% 54.59/34.80 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | ((~v88(constB99, 0)) | v88(constB99, 1) | v88(constB99, 2) | v140(constB99))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (~v88(constB99, 0)) | v88(constB99, 1) | v88(constB99, 2) | v140(constB99))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25315,plain,
% 54.59/34.80 ((v88(constB99, 2) | v88(constB99, 1) | (~v88(constB99, 0)) | v140(constB99)) <=> ((~v88(constB99, 0)) | v88(constB99, 1) | v88(constB99, 2) | v140(constB99))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25316,plain,
% 54.59/34.80 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB99, 2) | v88(constB99, 1) | (~v88(constB99, 0)) | v140(constB99))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | ((~v88(constB99, 0)) | v88(constB99, 1) | v88(constB99, 2) | v140(constB99)))),
% 54.59/34.80 inference(monotonicity,[status(thm)],[25315])).
% 54.59/34.80 tff(25317,plain,
% 54.59/34.80 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB99, 2) | v88(constB99, 1) | (~v88(constB99, 0)) | v140(constB99))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (~v88(constB99, 0)) | v88(constB99, 1) | v88(constB99, 2) | v140(constB99))),
% 54.59/34.80 inference(transitivity,[status(thm)],[25316, 25314])).
% 54.59/34.80 tff(25318,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB99, 2) | v88(constB99, 1) | (~v88(constB99, 0)) | v140(constB99))),
% 54.59/34.80 inference(quant_inst,[status(thm)],[])).
% 54.59/34.80 tff(25319,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (~v88(constB99, 0)) | v88(constB99, 1) | v88(constB99, 2) | v140(constB99)),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25318, 25317])).
% 54.59/34.80 tff(25320,plain,
% 54.59/34.80 (v140(constB99)),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25319, 25313, 25303, 25299, 25295])).
% 54.59/34.80 tff(25321,plain,
% 54.59/34.80 (^[VarCurr: state_type] : refl(((~v140(VarCurr)) | v170(VarCurr)) <=> ((~v140(VarCurr)) | v170(VarCurr)))),
% 54.59/34.80 inference(bind,[status(th)],[])).
% 54.59/34.80 tff(25322,plain,
% 54.59/34.80 (![VarCurr: state_type] : ((~v140(VarCurr)) | v170(VarCurr)) <=> ![VarCurr: state_type] : ((~v140(VarCurr)) | v170(VarCurr))),
% 54.59/34.80 inference(quant_intro,[status(thm)],[25321])).
% 54.59/34.80 tff(25323,plain,
% 54.59/34.80 (![VarCurr: state_type] : ((~v140(VarCurr)) | v170(VarCurr)) <=> ![VarCurr: state_type] : ((~v140(VarCurr)) | v170(VarCurr))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25324,axiom,(![VarCurr: state_type] : ((~v140(VarCurr)) | v170(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_41_1_1')).
% 54.59/34.80 tff(25325,plain,
% 54.59/34.80 (![VarCurr: state_type] : ((~v140(VarCurr)) | v170(VarCurr))),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25324, 25323])).
% 54.59/34.80 tff(25326,plain,(
% 54.59/34.80 ![VarCurr: state_type] : ((~v140(VarCurr)) | v170(VarCurr))),
% 54.59/34.80 inference(skolemize,[status(sab)],[25325])).
% 54.59/34.80 tff(25327,plain,
% 54.59/34.80 (![VarCurr: state_type] : ((~v140(VarCurr)) | v170(VarCurr))),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25326, 25322])).
% 54.59/34.80 tff(25328,plain,
% 54.59/34.80 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v170(VarCurr))) | ((~v140(constB99)) | v170(constB99))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v170(VarCurr))) | (~v140(constB99)) | v170(constB99))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25329,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v170(VarCurr))) | ((~v140(constB99)) | v170(constB99))),
% 54.59/34.80 inference(quant_inst,[status(thm)],[])).
% 54.59/34.80 tff(25330,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v170(VarCurr))) | (~v140(constB99)) | v170(constB99)),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25329, 25328])).
% 54.59/34.80 tff(25331,plain,
% 54.59/34.80 (v170(constB99)),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25330, 25327, 25320])).
% 54.59/34.80 tff(25332,plain,
% 54.59/34.80 (^[VarCurr: state_type] : refl((v167(VarCurr) | (~v170(VarCurr))) <=> (v167(VarCurr) | (~v170(VarCurr))))),
% 54.59/34.80 inference(bind,[status(th)],[])).
% 54.59/34.80 tff(25333,plain,
% 54.59/34.80 (![VarCurr: state_type] : (v167(VarCurr) | (~v170(VarCurr))) <=> ![VarCurr: state_type] : (v167(VarCurr) | (~v170(VarCurr)))),
% 54.59/34.80 inference(quant_intro,[status(thm)],[25332])).
% 54.59/34.80 tff(25334,plain,
% 54.59/34.80 (![VarCurr: state_type] : (v167(VarCurr) | (~v170(VarCurr))) <=> ![VarCurr: state_type] : (v167(VarCurr) | (~v170(VarCurr)))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25335,plain,
% 54.59/34.80 (^[VarCurr: state_type] : rewrite(((~v170(VarCurr)) | v167(VarCurr)) <=> (v167(VarCurr) | (~v170(VarCurr))))),
% 54.59/34.80 inference(bind,[status(th)],[])).
% 54.59/34.80 tff(25336,plain,
% 54.59/34.80 (![VarCurr: state_type] : ((~v170(VarCurr)) | v167(VarCurr)) <=> ![VarCurr: state_type] : (v167(VarCurr) | (~v170(VarCurr)))),
% 54.59/34.80 inference(quant_intro,[status(thm)],[25335])).
% 54.59/34.80 tff(25337,axiom,(![VarCurr: state_type] : ((~v170(VarCurr)) | v167(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_38_1_1_1')).
% 54.59/34.80 tff(25338,plain,
% 54.59/34.80 (![VarCurr: state_type] : (v167(VarCurr) | (~v170(VarCurr)))),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25337, 25336])).
% 54.59/34.80 tff(25339,plain,
% 54.59/34.80 (![VarCurr: state_type] : (v167(VarCurr) | (~v170(VarCurr)))),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25338, 25334])).
% 54.59/34.80 tff(25340,plain,(
% 54.59/34.80 ![VarCurr: state_type] : (v167(VarCurr) | (~v170(VarCurr)))),
% 54.59/34.80 inference(skolemize,[status(sab)],[25339])).
% 54.59/34.80 tff(25341,plain,
% 54.59/34.80 (![VarCurr: state_type] : (v167(VarCurr) | (~v170(VarCurr)))),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25340, 25333])).
% 54.59/34.80 tff(25342,plain,
% 54.59/34.80 (((~![VarCurr: state_type] : (v167(VarCurr) | (~v170(VarCurr)))) | (v167(constB99) | (~v170(constB99)))) <=> ((~![VarCurr: state_type] : (v167(VarCurr) | (~v170(VarCurr)))) | v167(constB99) | (~v170(constB99)))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25343,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : (v167(VarCurr) | (~v170(VarCurr)))) | (v167(constB99) | (~v170(constB99)))),
% 54.59/34.80 inference(quant_inst,[status(thm)],[])).
% 54.59/34.80 tff(25344,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : (v167(VarCurr) | (~v170(VarCurr)))) | v167(constB99) | (~v170(constB99))),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25343, 25342])).
% 54.59/34.80 tff(25345,plain,
% 54.59/34.80 (v167(constB99)),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25344, 25341, 25331])).
% 54.59/34.80 tff(25346,plain,
% 54.59/34.80 (^[VarCurr: state_type] : refl((v166(VarCurr) | (~v167(VarCurr))) <=> (v166(VarCurr) | (~v167(VarCurr))))),
% 54.59/34.80 inference(bind,[status(th)],[])).
% 54.59/34.80 tff(25347,plain,
% 54.59/34.80 (![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr))) <=> ![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))),
% 54.59/34.80 inference(quant_intro,[status(thm)],[25346])).
% 54.59/34.80 tff(25348,plain,
% 54.59/34.80 (![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr))) <=> ![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25349,plain,
% 54.59/34.80 (^[VarCurr: state_type] : rewrite(((~v167(VarCurr)) | v166(VarCurr)) <=> (v166(VarCurr) | (~v167(VarCurr))))),
% 54.59/34.80 inference(bind,[status(th)],[])).
% 54.59/34.80 tff(25350,plain,
% 54.59/34.80 (![VarCurr: state_type] : ((~v167(VarCurr)) | v166(VarCurr)) <=> ![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))),
% 54.59/34.80 inference(quant_intro,[status(thm)],[25349])).
% 54.59/34.80 tff(25351,axiom,(![VarCurr: state_type] : ((~v167(VarCurr)) | v166(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_39_1_1_1')).
% 54.59/34.80 tff(25352,plain,
% 54.59/34.80 (![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25351, 25350])).
% 54.59/34.80 tff(25353,plain,
% 54.59/34.80 (![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25352, 25348])).
% 54.59/34.80 tff(25354,plain,(
% 54.59/34.80 ![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))),
% 54.59/34.80 inference(skolemize,[status(sab)],[25353])).
% 54.59/34.80 tff(25355,plain,
% 54.59/34.80 (![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25354, 25347])).
% 54.59/34.80 tff(25356,plain,
% 54.59/34.80 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB99) | (~v167(constB99)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB99) | (~v167(constB99)))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25357,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB99) | (~v167(constB99)))),
% 54.59/34.80 inference(quant_inst,[status(thm)],[])).
% 54.59/34.80 tff(25358,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB99) | (~v167(constB99))),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25357, 25356])).
% 54.59/34.80 tff(25359,plain,
% 54.59/34.80 (v166(constB99)),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25358, 25355, 25345])).
% 54.59/34.80 tff(25360,plain,
% 54.59/34.80 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (v165(constB99) | (~v166(constB99)))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB99) | (~v166(constB99)))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25361,plain,
% 54.59/34.80 (((~v166(constB99)) | v165(constB99)) <=> (v165(constB99) | (~v166(constB99)))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25362,plain,
% 54.59/34.80 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB99)) | v165(constB99))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (v165(constB99) | (~v166(constB99))))),
% 54.59/34.80 inference(monotonicity,[status(thm)],[25361])).
% 54.59/34.80 tff(25363,plain,
% 54.59/34.80 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB99)) | v165(constB99))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB99) | (~v166(constB99)))),
% 54.59/34.80 inference(transitivity,[status(thm)],[25362, 25360])).
% 54.59/34.80 tff(25364,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB99)) | v165(constB99))),
% 54.59/34.80 inference(quant_inst,[status(thm)],[])).
% 54.59/34.80 tff(25365,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB99) | (~v166(constB99))),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25364, 25363])).
% 54.59/34.80 tff(25366,plain,
% 54.59/34.80 (v165(constB99)),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25365, 24989, 25359])).
% 54.59/34.80 tff(25367,plain,
% 54.59/34.80 (^[VarCurr: state_type] : refl(((~v170(VarCurr)) | (~v169(VarCurr))) <=> ((~v170(VarCurr)) | (~v169(VarCurr))))),
% 54.59/34.80 inference(bind,[status(th)],[])).
% 54.59/34.80 tff(25368,plain,
% 54.59/34.80 (![VarCurr: state_type] : ((~v170(VarCurr)) | (~v169(VarCurr))) <=> ![VarCurr: state_type] : ((~v170(VarCurr)) | (~v169(VarCurr)))),
% 54.59/34.80 inference(quant_intro,[status(thm)],[25367])).
% 54.59/34.80 tff(25369,plain,
% 54.59/34.80 (![VarCurr: state_type] : ((~v170(VarCurr)) | (~v169(VarCurr))) <=> ![VarCurr: state_type] : ((~v170(VarCurr)) | (~v169(VarCurr)))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25370,axiom,(![VarCurr: state_type] : ((~v170(VarCurr)) | (~v169(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_3_1_1')).
% 54.59/34.80 tff(25371,plain,
% 54.59/34.80 (![VarCurr: state_type] : ((~v170(VarCurr)) | (~v169(VarCurr)))),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25370, 25369])).
% 54.59/34.80 tff(25372,plain,(
% 54.59/34.80 ![VarCurr: state_type] : ((~v170(VarCurr)) | (~v169(VarCurr)))),
% 54.59/34.80 inference(skolemize,[status(sab)],[25371])).
% 54.59/34.80 tff(25373,plain,
% 54.59/34.80 (![VarCurr: state_type] : ((~v170(VarCurr)) | (~v169(VarCurr)))),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25372, 25368])).
% 54.59/34.80 tff(25374,plain,
% 54.59/34.80 (((~![VarCurr: state_type] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | ((~v169(constB99)) | (~v170(constB99)))) <=> ((~![VarCurr: state_type] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | (~v169(constB99)) | (~v170(constB99)))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25375,plain,
% 54.59/34.80 (((~v170(constB99)) | (~v169(constB99))) <=> ((~v169(constB99)) | (~v170(constB99)))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25376,plain,
% 54.59/34.80 (((~![VarCurr: state_type] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | ((~v170(constB99)) | (~v169(constB99)))) <=> ((~![VarCurr: state_type] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | ((~v169(constB99)) | (~v170(constB99))))),
% 54.59/34.80 inference(monotonicity,[status(thm)],[25375])).
% 54.59/34.80 tff(25377,plain,
% 54.59/34.80 (((~![VarCurr: state_type] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | ((~v170(constB99)) | (~v169(constB99)))) <=> ((~![VarCurr: state_type] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | (~v169(constB99)) | (~v170(constB99)))),
% 54.59/34.80 inference(transitivity,[status(thm)],[25376, 25374])).
% 54.59/34.80 tff(25378,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | ((~v170(constB99)) | (~v169(constB99)))),
% 54.59/34.80 inference(quant_inst,[status(thm)],[])).
% 54.59/34.80 tff(25379,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | (~v169(constB99)) | (~v170(constB99))),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25378, 25377])).
% 54.59/34.80 tff(25380,plain,
% 54.59/34.80 (~v169(constB99)),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25379, 25373, 25331])).
% 54.59/34.80 tff(25381,plain,
% 54.59/34.80 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB99)) | (~v165(constB99)) | v169(constB99))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB99)) | (~v165(constB99)) | v169(constB99))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25382,plain,
% 54.59/34.80 (((~v165(constB99)) | v169(constB99) | (~v162(constB99))) <=> ((~v162(constB99)) | (~v165(constB99)) | v169(constB99))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25383,plain,
% 54.59/34.80 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB99)) | v169(constB99) | (~v162(constB99)))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB99)) | (~v165(constB99)) | v169(constB99)))),
% 54.59/34.80 inference(monotonicity,[status(thm)],[25382])).
% 54.59/34.80 tff(25384,plain,
% 54.59/34.80 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB99)) | v169(constB99) | (~v162(constB99)))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB99)) | (~v165(constB99)) | v169(constB99))),
% 54.59/34.80 inference(transitivity,[status(thm)],[25383, 25381])).
% 54.59/34.80 tff(25385,plain,
% 54.59/34.80 ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB99)) | v169(constB99) | (~v162(constB99)))),
% 54.59/34.80 inference(quant_inst,[status(thm)],[])).
% 54.59/34.80 tff(25386,plain,
% 54.59/34.80 ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB99)) | (~v165(constB99)) | v169(constB99)),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25385, 25384])).
% 54.59/34.80 tff(25387,plain,
% 54.59/34.80 ((~v162(constB99)) | (~v165(constB99))),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25386, 14054, 25380])).
% 54.59/34.80 tff(25388,plain,
% 54.59/34.80 (~v162(constB99)),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25387, 25366])).
% 54.59/34.80 tff(25389,plain,
% 54.59/34.80 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB99) | (~v187(constB99)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB99) | (~v187(constB99)))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25390,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB99) | (~v187(constB99)))),
% 54.59/34.80 inference(quant_inst,[status(thm)],[])).
% 54.59/34.80 tff(25391,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB99) | (~v187(constB99))),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25390, 25389])).
% 54.59/34.80 tff(25392,plain,
% 54.59/34.80 (~v187(constB99)),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25391, 14071, 25388])).
% 54.59/34.80 tff(25393,plain,
% 54.59/34.80 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB99) | (~v185(constB99)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB99) | (~v185(constB99)))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25394,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB99) | (~v185(constB99)))),
% 54.59/34.80 inference(quant_inst,[status(thm)],[])).
% 54.59/34.80 tff(25395,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB99) | (~v185(constB99))),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25394, 25393])).
% 54.59/34.80 tff(25396,plain,
% 54.59/34.80 (~v185(constB99)),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25395, 14085, 25392])).
% 54.59/34.80 tff(25397,assumption,(v18(constB100)), introduced(assumption)).
% 54.59/34.80 tff(25398,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB100))),
% 54.59/34.80 inference(quant_inst,[status(thm)],[])).
% 54.59/34.80 tff(25399,plain,
% 54.59/34.80 ($false),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25398, 14194, 25397])).
% 54.59/34.80 tff(25400,plain,(~v18(constB100)), inference(lemma,lemma(discharge,[]))).
% 54.59/34.80 tff(25401,plain,
% 54.59/34.80 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB100) | (~v1(constB100)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB100) | (~v1(constB100)))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25402,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB100) | (~v1(constB100)))),
% 54.59/34.80 inference(quant_inst,[status(thm)],[])).
% 54.59/34.80 tff(25403,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB100) | (~v1(constB100))),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25402, 25401])).
% 54.59/34.80 tff(25404,plain,
% 54.59/34.80 (v22(constB100)),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25403, 14207, 18228])).
% 54.59/34.80 tff(25405,plain,
% 54.59/34.80 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB100) | (~v22(constB100)) | (~v19(constB100)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB100) | (~v22(constB100)) | (~v19(constB100)))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25406,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB100) | (~v22(constB100)) | (~v19(constB100)))),
% 54.59/34.80 inference(quant_inst,[status(thm)],[])).
% 54.59/34.80 tff(25407,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB100) | (~v22(constB100)) | (~v19(constB100))),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25406, 25405])).
% 54.59/34.80 tff(25408,plain,
% 54.59/34.80 (v18(constB100) | (~v19(constB100))),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25407, 14221, 25404])).
% 54.59/34.80 tff(25409,plain,
% 54.59/34.80 (~v19(constB100)),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25408, 25400])).
% 54.59/34.80 tff(25410,plain,
% 54.59/34.80 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB100) | v19(constB100))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB100) | v19(constB100))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25411,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB100) | v19(constB100))),
% 54.59/34.80 inference(quant_inst,[status(thm)],[])).
% 54.59/34.80 tff(25412,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB100) | v19(constB100)),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25411, 25410])).
% 54.59/34.80 tff(25413,plain,
% 54.59/34.80 (v13(constB100)),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25412, 14233, 25409])).
% 54.59/34.80 tff(25414,plain,
% 54.59/34.80 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB99) | (~v13(constB100)) | (~nextState(constB99, constB100)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB99) | (~v13(constB100)) | (~nextState(constB99, constB100)))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25415,plain,
% 54.59/34.80 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB99) | (~v13(constB100)) | (~nextState(constB99, constB100)))),
% 54.59/34.80 inference(quant_inst,[status(thm)],[])).
% 54.59/34.80 tff(25416,plain,
% 54.59/34.80 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB99) | (~v13(constB100)) | (~nextState(constB99, constB100))),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25415, 25414])).
% 54.59/34.80 tff(25417,plain,
% 54.59/34.80 (v9(constB99) | (~v13(constB100))),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25416, 14247, 18202])).
% 54.59/34.80 tff(25418,plain,
% 54.59/34.80 (v9(constB99)),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25417, 25413])).
% 54.59/34.80 tff(25419,plain,
% 54.59/34.80 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB99) | (~v9(constB99)) | v184(constB99))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB99) | (~v9(constB99)) | v184(constB99))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25420,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB99) | (~v9(constB99)) | v184(constB99))),
% 54.59/34.80 inference(quant_inst,[status(thm)],[])).
% 54.59/34.80 tff(25421,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB99) | (~v9(constB99)) | v184(constB99)),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25420, 25419])).
% 54.59/34.80 tff(25422,plain,
% 54.59/34.80 ((~v9(constB99)) | v184(constB99)),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25421, 14262, 18042])).
% 54.59/34.80 tff(25423,plain,
% 54.59/34.80 (v184(constB99)),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25422, 25418])).
% 54.59/34.80 tff(25424,plain,
% 54.59/34.80 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB99) | (~v184(constB99)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB99) | (~v184(constB99)))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25425,plain,
% 54.59/34.80 (((~v184(constB99)) | v183(constB99)) <=> (v183(constB99) | (~v184(constB99)))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25426,plain,
% 54.59/34.80 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB99)) | v183(constB99))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB99) | (~v184(constB99))))),
% 54.59/34.80 inference(monotonicity,[status(thm)],[25425])).
% 54.59/34.80 tff(25427,plain,
% 54.59/34.80 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB99)) | v183(constB99))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB99) | (~v184(constB99)))),
% 54.59/34.80 inference(transitivity,[status(thm)],[25426, 25424])).
% 54.59/34.80 tff(25428,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB99)) | v183(constB99))),
% 54.59/34.80 inference(quant_inst,[status(thm)],[])).
% 54.59/34.80 tff(25429,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB99) | (~v184(constB99))),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25428, 25427])).
% 54.59/34.80 tff(25430,plain,
% 54.59/34.80 (v183(constB99)),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25429, 14274, 25423])).
% 54.59/34.80 tff(25431,plain,
% 54.59/34.80 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB99)) | (~v183(constB99)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB99)) | (~v183(constB99)))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25432,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB99)) | (~v183(constB99)))),
% 54.59/34.80 inference(quant_inst,[status(thm)],[])).
% 54.59/34.80 tff(25433,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB99)) | (~v183(constB99))),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25432, 25431])).
% 54.59/34.80 tff(25434,plain,
% 54.59/34.80 (~v181(constB99)),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25433, 14288, 25430])).
% 54.59/34.80 tff(25435,plain,
% 54.59/34.80 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB99) | v185(constB99) | (~v178(constB99)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB99) | v185(constB99) | (~v178(constB99)))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25436,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB99) | v185(constB99) | (~v178(constB99)))),
% 54.59/34.80 inference(quant_inst,[status(thm)],[])).
% 54.59/34.80 tff(25437,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB99) | v185(constB99) | (~v178(constB99))),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25436, 25435])).
% 54.59/34.80 tff(25438,plain,
% 54.59/34.80 (v185(constB99) | (~v178(constB99))),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25437, 14302, 25434])).
% 54.59/34.80 tff(25439,plain,
% 54.59/34.80 (~v178(constB99)),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25438, 25396])).
% 54.59/34.80 tff(25440,plain,
% 54.59/34.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB99, constB100)) | v178(constB99) | (~v180(constB100)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB99, constB100)) | v178(constB99) | (~v180(constB100)))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25441,plain,
% 54.59/34.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB99, constB100)) | v178(constB99) | (~v180(constB100)))),
% 54.59/34.80 inference(quant_inst,[status(thm)],[])).
% 54.59/34.80 tff(25442,plain,
% 54.59/34.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB99, constB100)) | v178(constB99) | (~v180(constB100))),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25441, 25440])).
% 54.59/34.80 tff(25443,plain,
% 54.59/34.80 (v178(constB99) | (~v180(constB100))),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25442, 14317, 18202])).
% 54.59/34.80 tff(25444,plain,
% 54.59/34.80 (~v180(constB100)),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25443, 25439])).
% 54.59/34.80 tff(25445,plain,
% 54.59/34.80 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB100) | (~v181(constB100)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB100) | (~v181(constB100)))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25446,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB100) | (~v181(constB100)))),
% 54.59/34.80 inference(quant_inst,[status(thm)],[])).
% 54.59/34.80 tff(25447,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB100) | (~v181(constB100))),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25446, 25445])).
% 54.59/34.80 tff(25448,plain,
% 54.59/34.80 (~v181(constB100)),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25447, 14332, 25444])).
% 54.59/34.80 tff(25449,plain,
% 54.59/34.80 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB100)) | (~v184(constB100)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB100)) | (~v184(constB100)))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25450,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB100)) | (~v184(constB100)))),
% 54.59/34.80 inference(quant_inst,[status(thm)],[])).
% 54.59/34.80 tff(25451,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB100)) | (~v184(constB100))),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25450, 25449])).
% 54.59/34.80 tff(25452,plain,
% 54.59/34.80 (~v184(constB100)),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25451, 88, 18228])).
% 54.59/34.80 tff(25453,plain,
% 54.59/34.80 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB100) | (~v187(constB100)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB100) | (~v187(constB100)))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25454,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB100) | (~v187(constB100)))),
% 54.59/34.80 inference(quant_inst,[status(thm)],[])).
% 54.59/34.80 tff(25455,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB100) | (~v187(constB100))),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25454, 25453])).
% 54.59/34.80 tff(25456,plain,
% 54.59/34.80 (~v187(constB100)),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25455, 14350, 25452])).
% 54.59/34.80 tff(25457,plain,
% 54.59/34.80 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB100) | (~v185(constB100)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB100) | (~v185(constB100)))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25458,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB100) | (~v185(constB100)))),
% 54.59/34.80 inference(quant_inst,[status(thm)],[])).
% 54.59/34.80 tff(25459,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB100) | (~v185(constB100))),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25458, 25457])).
% 54.59/34.80 tff(25460,plain,
% 54.59/34.80 (~v185(constB100)),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25459, 14085, 25456])).
% 54.59/34.80 tff(25461,plain,
% 54.59/34.80 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB100) | v185(constB100) | (~v178(constB100)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB100) | v185(constB100) | (~v178(constB100)))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25462,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB100) | v185(constB100) | (~v178(constB100)))),
% 54.59/34.80 inference(quant_inst,[status(thm)],[])).
% 54.59/34.80 tff(25463,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB100) | v185(constB100) | (~v178(constB100))),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25462, 25461])).
% 54.59/34.80 tff(25464,plain,
% 54.59/34.80 (v181(constB100) | (~v178(constB100))),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25463, 14302, 25460])).
% 54.59/34.80 tff(25465,plain,
% 54.59/34.80 (~v178(constB100)),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25464, 25448])).
% 54.59/34.80 tff(25466,plain,
% 54.59/34.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB100, constB101)) | v178(constB100) | (~v180(constB101)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB100, constB101)) | v178(constB100) | (~v180(constB101)))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25467,plain,
% 54.59/34.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB100, constB101)) | v178(constB100) | (~v180(constB101)))),
% 54.59/34.80 inference(quant_inst,[status(thm)],[])).
% 54.59/34.80 tff(25468,plain,
% 54.59/34.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB100, constB101)) | v178(constB100) | (~v180(constB101))),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25467, 25466])).
% 54.59/34.80 tff(25469,plain,
% 54.59/34.80 (v178(constB100) | (~v180(constB101))),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25468, 14317, 18296])).
% 54.59/34.80 tff(25470,plain,
% 54.59/34.80 (~v180(constB101)),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25469, 25465])).
% 54.59/34.80 tff(25471,plain,
% 54.59/34.80 ($false),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25470, 25291])).
% 54.59/34.80 tff(25472,plain,((~(constB101 = sK_VarCurr)) | (~v180(sK_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 54.59/34.80 tff(25473,plain,
% 54.59/34.80 (~(constB101 = sK_VarCurr)),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25472, 815])).
% 54.59/34.80 tff(25474,plain,
% 54.59/34.80 (^[VarCurr: state_type] : refl(((~v207(VarCurr)) | (~v86(VarCurr))) <=> ((~v207(VarCurr)) | (~v86(VarCurr))))),
% 54.59/34.80 inference(bind,[status(th)],[])).
% 54.59/34.80 tff(25475,plain,
% 54.59/34.80 (![VarCurr: state_type] : ((~v207(VarCurr)) | (~v86(VarCurr))) <=> ![VarCurr: state_type] : ((~v207(VarCurr)) | (~v86(VarCurr)))),
% 54.59/34.80 inference(quant_intro,[status(thm)],[25474])).
% 54.59/34.80 tff(25476,plain,
% 54.59/34.80 (![VarCurr: state_type] : ((~v207(VarCurr)) | (~v86(VarCurr))) <=> ![VarCurr: state_type] : ((~v207(VarCurr)) | (~v86(VarCurr)))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25477,axiom,(![VarCurr: state_type] : ((~v207(VarCurr)) | (~v86(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_54_1_1_1_2')).
% 54.59/34.80 tff(25478,plain,
% 54.59/34.80 (![VarCurr: state_type] : ((~v207(VarCurr)) | (~v86(VarCurr)))),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25477, 25476])).
% 54.59/34.80 tff(25479,plain,(
% 54.59/34.80 ![VarCurr: state_type] : ((~v207(VarCurr)) | (~v86(VarCurr)))),
% 54.59/34.80 inference(skolemize,[status(sab)],[25478])).
% 54.59/34.80 tff(25480,plain,
% 54.59/34.80 (![VarCurr: state_type] : ((~v207(VarCurr)) | (~v86(VarCurr)))),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25479, 25475])).
% 54.59/34.80 tff(25481,plain,
% 54.59/34.80 (((~![VarCurr: state_type] : ((~v207(VarCurr)) | (~v86(VarCurr)))) | ((~v207(sK_VarCurr)) | (~v86(sK_VarCurr)))) <=> ((~![VarCurr: state_type] : ((~v207(VarCurr)) | (~v86(VarCurr)))) | (~v207(sK_VarCurr)) | (~v86(sK_VarCurr)))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25482,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : ((~v207(VarCurr)) | (~v86(VarCurr)))) | ((~v207(sK_VarCurr)) | (~v86(sK_VarCurr)))),
% 54.59/34.80 inference(quant_inst,[status(thm)],[])).
% 54.59/34.80 tff(25483,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : ((~v207(VarCurr)) | (~v86(VarCurr)))) | (~v207(sK_VarCurr)) | (~v86(sK_VarCurr))),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25482, 25481])).
% 54.59/34.80 tff(25484,plain,
% 54.59/34.80 (~v86(sK_VarCurr)),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25483, 25480, 64])).
% 54.59/34.80 tff(25485,assumption,(constB105 = sK_VarCurr), introduced(assumption)).
% 54.59/34.80 tff(25486,plain,
% 54.59/34.80 (v86(constB105) <=> v86(sK_VarCurr)),
% 54.59/34.80 inference(monotonicity,[status(thm)],[25485])).
% 54.59/34.80 tff(25487,plain,
% 54.59/34.80 (v86(sK_VarCurr) <=> v86(constB105)),
% 54.59/34.80 inference(symmetry,[status(thm)],[25486])).
% 54.59/34.80 tff(25488,plain,
% 54.59/34.80 ((~v86(sK_VarCurr)) <=> (~v86(constB105))),
% 54.59/34.80 inference(monotonicity,[status(thm)],[25487])).
% 54.59/34.80 tff(25489,assumption,(~v86(sK_VarCurr)), introduced(assumption)).
% 54.59/34.80 tff(25490,plain,
% 54.59/34.80 (~v86(constB105)),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25489, 25488])).
% 54.59/34.80 tff(25491,plain,
% 54.59/34.80 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB105, 2)) | v88(constB105, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB105, 2)) | v88(constB105, 2))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25492,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB105, 2)) | v88(constB105, 2))),
% 54.59/34.80 inference(quant_inst,[status(thm)],[])).
% 54.59/34.80 tff(25493,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB105, 2)) | v88(constB105, 2)),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25492, 25491])).
% 54.59/34.80 tff(25494,plain,
% 54.59/34.80 (v88(constB105, 2)),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25493, 13850, 19194])).
% 54.59/34.80 tff(25495,plain,
% 54.59/34.80 (^[VarCurr: state_type] : refl(((~v143(VarCurr)) | (~v88(VarCurr, 2))) <=> ((~v143(VarCurr)) | (~v88(VarCurr, 2))))),
% 54.59/34.80 inference(bind,[status(th)],[])).
% 54.59/34.80 tff(25496,plain,
% 54.59/34.80 (![VarCurr: state_type] : ((~v143(VarCurr)) | (~v88(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v143(VarCurr)) | (~v88(VarCurr, 2)))),
% 54.59/34.80 inference(quant_intro,[status(thm)],[25495])).
% 54.59/34.80 tff(25497,plain,
% 54.59/34.80 (![VarCurr: state_type] : ((~v143(VarCurr)) | (~v88(VarCurr, 2))) <=> ![VarCurr: state_type] : ((~v143(VarCurr)) | (~v88(VarCurr, 2)))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25498,axiom,(![VarCurr: state_type] : ((~v143(VarCurr)) | (~v88(VarCurr, 2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_12_1_1_3')).
% 54.59/34.80 tff(25499,plain,
% 54.59/34.80 (![VarCurr: state_type] : ((~v143(VarCurr)) | (~v88(VarCurr, 2)))),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25498, 25497])).
% 54.59/34.80 tff(25500,plain,(
% 54.59/34.80 ![VarCurr: state_type] : ((~v143(VarCurr)) | (~v88(VarCurr, 2)))),
% 54.59/34.80 inference(skolemize,[status(sab)],[25499])).
% 54.59/34.80 tff(25501,plain,
% 54.59/34.80 (![VarCurr: state_type] : ((~v143(VarCurr)) | (~v88(VarCurr, 2)))),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25500, 25496])).
% 54.59/34.80 tff(25502,plain,
% 54.59/34.80 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v143(constB105)) | (~v88(constB105, 2)))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | (~v88(VarCurr, 2)))) | (~v143(constB105)) | (~v88(constB105, 2)))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25503,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v143(constB105)) | (~v88(constB105, 2)))),
% 54.59/34.80 inference(quant_inst,[status(thm)],[])).
% 54.59/34.80 tff(25504,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | (~v88(VarCurr, 2)))) | (~v143(constB105)) | (~v88(constB105, 2))),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25503, 25502])).
% 54.59/34.80 tff(25505,plain,
% 54.59/34.80 (~v143(constB105)),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25504, 25501, 25494])).
% 54.59/34.80 tff(25506,plain,
% 54.59/34.80 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB105, 1)) | v90(constB105, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB105, 1)) | v90(constB105, 1))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25507,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB105, 1)) | v90(constB105, 1))),
% 54.59/34.80 inference(quant_inst,[status(thm)],[])).
% 54.59/34.80 tff(25508,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB105, 1)) | v90(constB105, 1)),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25507, 25506])).
% 54.59/34.80 tff(25509,plain,
% 54.59/34.80 (~v88(constB105, 1)),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25508, 13998, 19163])).
% 54.59/34.80 tff(25510,plain,
% 54.59/34.80 (^[VarCurr: state_type] : refl(((~v144(VarCurr)) | v88(VarCurr, 1)) <=> ((~v144(VarCurr)) | v88(VarCurr, 1)))),
% 54.59/34.80 inference(bind,[status(th)],[])).
% 54.59/34.80 tff(25511,plain,
% 54.59/34.80 (![VarCurr: state_type] : ((~v144(VarCurr)) | v88(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v144(VarCurr)) | v88(VarCurr, 1))),
% 54.59/34.80 inference(quant_intro,[status(thm)],[25510])).
% 54.59/34.80 tff(25512,plain,
% 54.59/34.80 (![VarCurr: state_type] : ((~v144(VarCurr)) | v88(VarCurr, 1)) <=> ![VarCurr: state_type] : ((~v144(VarCurr)) | v88(VarCurr, 1))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25513,axiom,(![VarCurr: state_type] : ((~v144(VarCurr)) | v88(VarCurr, 1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_13_1_1_3')).
% 54.59/34.80 tff(25514,plain,
% 54.59/34.80 (![VarCurr: state_type] : ((~v144(VarCurr)) | v88(VarCurr, 1))),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25513, 25512])).
% 54.59/34.80 tff(25515,plain,(
% 54.59/34.80 ![VarCurr: state_type] : ((~v144(VarCurr)) | v88(VarCurr, 1))),
% 54.59/34.80 inference(skolemize,[status(sab)],[25514])).
% 54.59/34.80 tff(25516,plain,
% 54.59/34.80 (![VarCurr: state_type] : ((~v144(VarCurr)) | v88(VarCurr, 1))),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25515, 25511])).
% 54.59/34.80 tff(25517,plain,
% 54.59/34.80 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v88(VarCurr, 1))) | ((~v144(constB105)) | v88(constB105, 1))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v88(VarCurr, 1))) | (~v144(constB105)) | v88(constB105, 1))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25518,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v88(VarCurr, 1))) | ((~v144(constB105)) | v88(constB105, 1))),
% 54.59/34.80 inference(quant_inst,[status(thm)],[])).
% 54.59/34.80 tff(25519,plain,
% 54.59/34.80 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v88(VarCurr, 1))) | (~v144(constB105)) | v88(constB105, 1)),
% 54.59/34.80 inference(modus_ponens,[status(thm)],[25518, 25517])).
% 54.59/34.80 tff(25520,plain,
% 54.59/34.80 (~v144(constB105)),
% 54.59/34.80 inference(unit_resolution,[status(thm)],[25519, 25516, 25509])).
% 54.59/34.80 tff(25521,plain,
% 54.59/34.80 (^[VarCurr: state_type] : refl((v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr))) <=> (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr))))),
% 54.59/34.80 inference(bind,[status(th)],[])).
% 54.59/34.80 tff(25522,plain,
% 54.59/34.80 (![VarCurr: state_type] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr))) <=> ![VarCurr: state_type] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))),
% 54.59/34.80 inference(quant_intro,[status(thm)],[25521])).
% 54.59/34.80 tff(25523,plain,
% 54.59/34.80 (![VarCurr: state_type] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr))) <=> ![VarCurr: state_type] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))),
% 54.59/34.80 inference(rewrite,[status(thm)],[])).
% 54.59/34.80 tff(25524,plain,
% 54.59/34.80 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v142(VarCurr)) | v143(VarCurr)) <=> (v143(VarCurr) | (~v142(VarCurr)))), ((((~v142(VarCurr)) | v143(VarCurr)) | v144(VarCurr)) <=> ((v143(VarCurr) | (~v142(VarCurr))) | v144(VarCurr)))), rewrite(((v143(VarCurr) | (~v142(VarCurr))) | v144(VarCurr)) <=> (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))), ((((~v142(VarCurr)) | v143(VarCurr)) | v144(VarCurr)) <=> (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))))),
% 54.59/34.81 inference(bind,[status(th)],[])).
% 54.59/34.81 tff(25525,plain,
% 54.59/34.81 (![VarCurr: state_type] : (((~v142(VarCurr)) | v143(VarCurr)) | v144(VarCurr)) <=> ![VarCurr: state_type] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))),
% 54.59/34.81 inference(quant_intro,[status(thm)],[25524])).
% 54.59/34.81 tff(25526,axiom,(![VarCurr: state_type] : (((~v142(VarCurr)) | v143(VarCurr)) | v144(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_30_1_3')).
% 54.59/34.81 tff(25527,plain,
% 54.59/34.81 (![VarCurr: state_type] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))),
% 54.59/34.81 inference(modus_ponens,[status(thm)],[25526, 25525])).
% 54.59/34.81 tff(25528,plain,
% 54.59/34.81 (![VarCurr: state_type] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))),
% 54.59/34.81 inference(modus_ponens,[status(thm)],[25527, 25523])).
% 54.59/34.81 tff(25529,plain,(
% 54.59/34.81 ![VarCurr: state_type] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))),
% 54.59/34.81 inference(skolemize,[status(sab)],[25528])).
% 54.59/34.81 tff(25530,plain,
% 54.59/34.81 (![VarCurr: state_type] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))),
% 54.59/34.81 inference(modus_ponens,[status(thm)],[25529, 25522])).
% 54.59/34.81 tff(25531,plain,
% 54.59/34.81 (((~![VarCurr: state_type] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB105) | v144(constB105) | (~v142(constB105)))) <=> ((~![VarCurr: state_type] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB105) | v144(constB105) | (~v142(constB105)))),
% 54.59/34.81 inference(rewrite,[status(thm)],[])).
% 54.59/34.81 tff(25532,plain,
% 54.59/34.81 ((~![VarCurr: state_type] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | (v143(constB105) | v144(constB105) | (~v142(constB105)))),
% 54.59/34.81 inference(quant_inst,[status(thm)],[])).
% 54.59/34.81 tff(25533,plain,
% 54.59/34.81 ((~![VarCurr: state_type] : (v143(VarCurr) | v144(VarCurr) | (~v142(VarCurr)))) | v143(constB105) | v144(constB105) | (~v142(constB105))),
% 54.59/34.81 inference(modus_ponens,[status(thm)],[25532, 25531])).
% 54.59/34.81 tff(25534,plain,
% 54.59/34.81 (~v142(constB105)),
% 54.59/34.81 inference(unit_resolution,[status(thm)],[25533, 25530, 25520, 25505])).
% 54.59/34.81 tff(25535,plain,
% 54.59/34.81 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB105)) | (~v88(constB105, 2)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB105)) | (~v88(constB105, 2)))),
% 54.59/34.81 inference(rewrite,[status(thm)],[])).
% 54.59/34.81 tff(25536,plain,
% 54.59/34.81 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB105)) | (~v88(constB105, 2)))),
% 54.59/34.81 inference(quant_inst,[status(thm)],[])).
% 54.59/34.81 tff(25537,plain,
% 54.59/34.81 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB105)) | (~v88(constB105, 2))),
% 54.59/34.81 inference(modus_ponens,[status(thm)],[25536, 25535])).
% 54.59/34.81 tff(25538,plain,
% 54.59/34.81 (~v139(constB105)),
% 54.59/34.81 inference(unit_resolution,[status(thm)],[25537, 14100, 25494])).
% 54.59/34.81 tff(25539,plain,
% 54.59/34.81 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB105, 0)) | v90(constB105, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB105, 0)) | v90(constB105, 0))),
% 54.59/34.81 inference(rewrite,[status(thm)],[])).
% 54.59/34.81 tff(25540,plain,
% 54.59/34.81 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB105, 0)) | v90(constB105, 0))),
% 54.59/34.81 inference(quant_inst,[status(thm)],[])).
% 54.59/34.81 tff(25541,plain,
% 54.59/34.81 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB105, 0)) | v90(constB105, 0)),
% 54.59/34.81 inference(modus_ponens,[status(thm)],[25540, 25539])).
% 54.59/34.81 tff(25542,plain,
% 54.59/34.81 (~v88(constB105, 0)),
% 54.59/34.81 inference(unit_resolution,[status(thm)],[25541, 14132, 19240])).
% 54.59/34.81 tff(25543,plain,
% 54.59/34.81 (^[VarCurr: state_type] : refl(((~v140(VarCurr)) | v88(VarCurr, 0)) <=> ((~v140(VarCurr)) | v88(VarCurr, 0)))),
% 54.59/34.81 inference(bind,[status(th)],[])).
% 54.59/34.81 tff(25544,plain,
% 54.59/34.81 (![VarCurr: state_type] : ((~v140(VarCurr)) | v88(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v140(VarCurr)) | v88(VarCurr, 0))),
% 54.59/34.81 inference(quant_intro,[status(thm)],[25543])).
% 54.59/34.81 tff(25545,plain,
% 54.59/34.81 (![VarCurr: state_type] : ((~v140(VarCurr)) | v88(VarCurr, 0)) <=> ![VarCurr: state_type] : ((~v140(VarCurr)) | v88(VarCurr, 0))),
% 54.59/34.81 inference(rewrite,[status(thm)],[])).
% 54.59/34.81 tff(25546,axiom,(![VarCurr: state_type] : ((~v140(VarCurr)) | v88(VarCurr, 0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10_1_1_2')).
% 54.59/34.81 tff(25547,plain,
% 54.59/34.81 (![VarCurr: state_type] : ((~v140(VarCurr)) | v88(VarCurr, 0))),
% 54.59/34.81 inference(modus_ponens,[status(thm)],[25546, 25545])).
% 54.59/34.81 tff(25548,plain,(
% 54.59/34.81 ![VarCurr: state_type] : ((~v140(VarCurr)) | v88(VarCurr, 0))),
% 54.59/34.81 inference(skolemize,[status(sab)],[25547])).
% 54.59/34.81 tff(25549,plain,
% 54.59/34.81 (![VarCurr: state_type] : ((~v140(VarCurr)) | v88(VarCurr, 0))),
% 54.59/34.81 inference(modus_ponens,[status(thm)],[25548, 25544])).
% 54.59/34.81 tff(25550,plain,
% 54.59/34.81 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v88(VarCurr, 0))) | ((~v140(constB105)) | v88(constB105, 0))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v88(VarCurr, 0))) | (~v140(constB105)) | v88(constB105, 0))),
% 54.59/34.81 inference(rewrite,[status(thm)],[])).
% 54.59/34.81 tff(25551,plain,
% 54.59/34.81 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v88(VarCurr, 0))) | ((~v140(constB105)) | v88(constB105, 0))),
% 54.59/34.81 inference(quant_inst,[status(thm)],[])).
% 54.59/34.81 tff(25552,plain,
% 54.59/34.81 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v88(VarCurr, 0))) | (~v140(constB105)) | v88(constB105, 0)),
% 54.59/34.81 inference(modus_ponens,[status(thm)],[25551, 25550])).
% 54.59/34.81 tff(25553,plain,
% 54.59/34.81 (~v140(constB105)),
% 54.59/34.81 inference(unit_resolution,[status(thm)],[25552, 25549, 25542])).
% 54.59/34.81 tff(25554,plain,
% 54.59/34.81 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB105) | v140(constB105) | (~v170(constB105)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB105) | v140(constB105) | (~v170(constB105)))),
% 54.59/34.81 inference(rewrite,[status(thm)],[])).
% 54.59/34.81 tff(25555,plain,
% 54.59/34.81 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB105) | v140(constB105) | (~v170(constB105)))),
% 54.59/34.81 inference(quant_inst,[status(thm)],[])).
% 54.59/34.81 tff(25556,plain,
% 54.59/34.81 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB105) | v140(constB105) | (~v170(constB105))),
% 54.59/34.81 inference(modus_ponens,[status(thm)],[25555, 25554])).
% 54.59/34.81 tff(25557,plain,
% 54.59/34.81 (v139(constB105) | (~v170(constB105))),
% 54.59/34.81 inference(unit_resolution,[status(thm)],[25556, 13928, 25553])).
% 54.59/34.81 tff(25558,plain,
% 54.59/34.81 (~v170(constB105)),
% 54.59/34.81 inference(unit_resolution,[status(thm)],[25557, 25538])).
% 54.59/34.81 tff(25559,plain,
% 54.59/34.81 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | ((~v141(constB105)) | v88(constB105, 0))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | (~v141(constB105)) | v88(constB105, 0))),
% 54.59/34.81 inference(rewrite,[status(thm)],[])).
% 54.59/34.81 tff(25560,plain,
% 54.59/34.81 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | ((~v141(constB105)) | v88(constB105, 0))),
% 54.59/34.81 inference(quant_inst,[status(thm)],[])).
% 54.59/34.81 tff(25561,plain,
% 54.59/34.81 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | (~v141(constB105)) | v88(constB105, 0)),
% 54.59/34.81 inference(modus_ponens,[status(thm)],[25560, 25559])).
% 54.59/34.81 tff(25562,plain,
% 54.59/34.81 (~v141(constB105)),
% 54.59/34.81 inference(unit_resolution,[status(thm)],[25561, 25029, 25542])).
% 54.59/34.81 tff(25563,plain,
% 54.59/34.81 (^[VarCurr: state_type] : refl((v141(VarCurr) | v170(VarCurr) | (~v167(VarCurr))) <=> (v141(VarCurr) | v170(VarCurr) | (~v167(VarCurr))))),
% 54.59/34.81 inference(bind,[status(th)],[])).
% 54.59/34.81 tff(25564,plain,
% 54.59/34.81 (![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v167(VarCurr))) <=> ![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v167(VarCurr)))),
% 54.59/34.81 inference(quant_intro,[status(thm)],[25563])).
% 54.59/34.81 tff(25565,plain,
% 54.59/34.81 (![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v167(VarCurr))) <=> ![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v167(VarCurr)))),
% 54.59/34.81 inference(rewrite,[status(thm)],[])).
% 54.59/34.81 tff(25566,plain,
% 54.59/34.81 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v167(VarCurr)) | v141(VarCurr)) <=> (v141(VarCurr) | (~v167(VarCurr)))), ((((~v167(VarCurr)) | v141(VarCurr)) | v170(VarCurr)) <=> ((v141(VarCurr) | (~v167(VarCurr))) | v170(VarCurr)))), rewrite(((v141(VarCurr) | (~v167(VarCurr))) | v170(VarCurr)) <=> (v141(VarCurr) | v170(VarCurr) | (~v167(VarCurr)))), ((((~v167(VarCurr)) | v141(VarCurr)) | v170(VarCurr)) <=> (v141(VarCurr) | v170(VarCurr) | (~v167(VarCurr)))))),
% 54.59/34.81 inference(bind,[status(th)],[])).
% 54.59/34.81 tff(25567,plain,
% 54.59/34.81 (![VarCurr: state_type] : (((~v167(VarCurr)) | v141(VarCurr)) | v170(VarCurr)) <=> ![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v167(VarCurr)))),
% 54.59/34.81 inference(quant_intro,[status(thm)],[25566])).
% 54.59/34.81 tff(25568,axiom,(![VarCurr: state_type] : (((~v167(VarCurr)) | v141(VarCurr)) | v170(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_38_1_1_3')).
% 54.59/34.81 tff(25569,plain,
% 54.59/34.81 (![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v167(VarCurr)))),
% 54.59/34.81 inference(modus_ponens,[status(thm)],[25568, 25567])).
% 54.59/34.81 tff(25570,plain,
% 54.59/34.81 (![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v167(VarCurr)))),
% 54.59/34.81 inference(modus_ponens,[status(thm)],[25569, 25565])).
% 54.59/34.81 tff(25571,plain,(
% 54.59/34.81 ![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v167(VarCurr)))),
% 54.59/34.81 inference(skolemize,[status(sab)],[25570])).
% 54.59/34.81 tff(25572,plain,
% 54.59/34.81 (![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v167(VarCurr)))),
% 54.59/34.81 inference(modus_ponens,[status(thm)],[25571, 25564])).
% 54.59/34.81 tff(25573,plain,
% 54.59/34.81 (((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v167(VarCurr)))) | (v141(constB105) | v170(constB105) | (~v167(constB105)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v167(VarCurr)))) | v141(constB105) | v170(constB105) | (~v167(constB105)))),
% 54.59/34.81 inference(rewrite,[status(thm)],[])).
% 54.59/34.81 tff(25574,plain,
% 54.59/34.81 ((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v167(VarCurr)))) | (v141(constB105) | v170(constB105) | (~v167(constB105)))),
% 54.59/34.81 inference(quant_inst,[status(thm)],[])).
% 54.59/34.81 tff(25575,plain,
% 54.59/34.81 ((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v167(VarCurr)))) | v141(constB105) | v170(constB105) | (~v167(constB105))),
% 54.59/34.81 inference(modus_ponens,[status(thm)],[25574, 25573])).
% 54.59/34.81 tff(25576,plain,
% 54.59/34.81 (v170(constB105) | (~v167(constB105))),
% 54.59/34.81 inference(unit_resolution,[status(thm)],[25575, 25572, 25562])).
% 54.59/34.81 tff(25577,plain,
% 54.59/34.81 (~v167(constB105)),
% 54.59/34.81 inference(unit_resolution,[status(thm)],[25576, 25558])).
% 54.59/34.81 tff(25578,plain,
% 54.59/34.81 (^[VarCurr: state_type] : refl((v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr)) <=> (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr)))),
% 54.59/34.81 inference(bind,[status(th)],[])).
% 54.59/34.81 tff(25579,plain,
% 54.59/34.81 (![VarCurr: state_type] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr)) <=> ![VarCurr: state_type] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))),
% 54.59/34.81 inference(quant_intro,[status(thm)],[25578])).
% 54.59/34.81 tff(25580,plain,
% 54.59/34.81 (![VarCurr: state_type] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr)) <=> ![VarCurr: state_type] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))),
% 54.59/34.81 inference(rewrite,[status(thm)],[])).
% 54.59/34.81 tff(25581,plain,
% 54.59/34.81 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v166(VarCurr)) | v142(VarCurr)) <=> (v142(VarCurr) | (~v166(VarCurr)))), ((((~v166(VarCurr)) | v142(VarCurr)) | v167(VarCurr)) <=> ((v142(VarCurr) | (~v166(VarCurr))) | v167(VarCurr)))), rewrite(((v142(VarCurr) | (~v166(VarCurr))) | v167(VarCurr)) <=> (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))), ((((~v166(VarCurr)) | v142(VarCurr)) | v167(VarCurr)) <=> (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))))),
% 54.59/34.81 inference(bind,[status(th)],[])).
% 54.59/34.81 tff(25582,plain,
% 54.59/34.81 (![VarCurr: state_type] : (((~v166(VarCurr)) | v142(VarCurr)) | v167(VarCurr)) <=> ![VarCurr: state_type] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))),
% 54.59/34.81 inference(quant_intro,[status(thm)],[25581])).
% 54.59/34.81 tff(25583,axiom,(![VarCurr: state_type] : (((~v166(VarCurr)) | v142(VarCurr)) | v167(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_39_1_1_3')).
% 54.59/34.81 tff(25584,plain,
% 54.59/34.81 (![VarCurr: state_type] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))),
% 54.59/34.81 inference(modus_ponens,[status(thm)],[25583, 25582])).
% 54.59/34.81 tff(25585,plain,
% 54.59/34.81 (![VarCurr: state_type] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))),
% 54.59/34.81 inference(modus_ponens,[status(thm)],[25584, 25580])).
% 54.59/34.81 tff(25586,plain,(
% 54.59/34.81 ![VarCurr: state_type] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))),
% 54.59/34.81 inference(skolemize,[status(sab)],[25585])).
% 54.59/34.81 tff(25587,plain,
% 54.59/34.81 (![VarCurr: state_type] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))),
% 54.59/34.81 inference(modus_ponens,[status(thm)],[25586, 25579])).
% 54.59/34.81 tff(25588,plain,
% 54.59/34.81 (((~![VarCurr: state_type] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v167(constB105) | v142(constB105) | (~v166(constB105)))) <=> ((~![VarCurr: state_type] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v167(constB105) | v142(constB105) | (~v166(constB105)))),
% 54.59/34.81 inference(rewrite,[status(thm)],[])).
% 54.59/34.81 tff(25589,plain,
% 54.59/34.81 ((v142(constB105) | (~v166(constB105)) | v167(constB105)) <=> (v167(constB105) | v142(constB105) | (~v166(constB105)))),
% 54.59/34.81 inference(rewrite,[status(thm)],[])).
% 54.59/34.81 tff(25590,plain,
% 54.59/34.81 (((~![VarCurr: state_type] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB105) | (~v166(constB105)) | v167(constB105))) <=> ((~![VarCurr: state_type] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v167(constB105) | v142(constB105) | (~v166(constB105))))),
% 54.59/34.81 inference(monotonicity,[status(thm)],[25589])).
% 54.59/34.81 tff(25591,plain,
% 54.59/34.81 (((~![VarCurr: state_type] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB105) | (~v166(constB105)) | v167(constB105))) <=> ((~![VarCurr: state_type] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v167(constB105) | v142(constB105) | (~v166(constB105)))),
% 54.59/34.81 inference(transitivity,[status(thm)],[25590, 25588])).
% 54.59/34.81 tff(25592,plain,
% 54.59/34.81 ((~![VarCurr: state_type] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | (v142(constB105) | (~v166(constB105)) | v167(constB105))),
% 54.59/34.81 inference(quant_inst,[status(thm)],[])).
% 54.59/34.81 tff(25593,plain,
% 54.59/34.81 ((~![VarCurr: state_type] : (v142(VarCurr) | (~v166(VarCurr)) | v167(VarCurr))) | v167(constB105) | v142(constB105) | (~v166(constB105))),
% 54.59/34.81 inference(modus_ponens,[status(thm)],[25592, 25591])).
% 54.59/34.81 tff(25594,plain,
% 54.59/34.81 (~v166(constB105)),
% 54.59/34.81 inference(unit_resolution,[status(thm)],[25593, 25587, 25577, 25534])).
% 54.59/34.81 tff(25595,plain,
% 54.59/34.81 (^[VarCurr: state_type] : refl((v148(VarCurr) | v166(VarCurr)) <=> (v148(VarCurr) | v166(VarCurr)))),
% 54.59/34.81 inference(bind,[status(th)],[])).
% 54.59/34.81 tff(25596,plain,
% 54.59/34.81 (![VarCurr: state_type] : (v148(VarCurr) | v166(VarCurr)) <=> ![VarCurr: state_type] : (v148(VarCurr) | v166(VarCurr))),
% 54.59/34.81 inference(quant_intro,[status(thm)],[25595])).
% 54.59/34.81 tff(25597,plain,
% 54.59/34.81 (![VarCurr: state_type] : (v148(VarCurr) | v166(VarCurr)) <=> ![VarCurr: state_type] : (v148(VarCurr) | v166(VarCurr))),
% 54.59/34.81 inference(rewrite,[status(thm)],[])).
% 54.59/34.81 tff(25598,plain,
% 54.59/34.81 (^[VarCurr: state_type] : rewrite((v166(VarCurr) | v148(VarCurr)) <=> (v148(VarCurr) | v166(VarCurr)))),
% 54.59/34.81 inference(bind,[status(th)],[])).
% 54.59/34.81 tff(25599,plain,
% 54.59/34.81 (![VarCurr: state_type] : (v166(VarCurr) | v148(VarCurr)) <=> ![VarCurr: state_type] : (v148(VarCurr) | v166(VarCurr))),
% 54.59/34.81 inference(quant_intro,[status(thm)],[25598])).
% 54.59/34.81 tff(25600,axiom,(![VarCurr: state_type] : (v166(VarCurr) | v148(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_2_1_1_1')).
% 54.59/34.81 tff(25601,plain,
% 54.59/34.81 (![VarCurr: state_type] : (v148(VarCurr) | v166(VarCurr))),
% 54.59/34.81 inference(modus_ponens,[status(thm)],[25600, 25599])).
% 54.59/34.81 tff(25602,plain,
% 54.59/34.81 (![VarCurr: state_type] : (v148(VarCurr) | v166(VarCurr))),
% 54.59/34.81 inference(modus_ponens,[status(thm)],[25601, 25597])).
% 54.59/34.81 tff(25603,plain,(
% 54.59/34.81 ![VarCurr: state_type] : (v148(VarCurr) | v166(VarCurr))),
% 54.59/34.81 inference(skolemize,[status(sab)],[25602])).
% 54.59/34.81 tff(25604,plain,
% 54.59/34.81 (![VarCurr: state_type] : (v148(VarCurr) | v166(VarCurr))),
% 54.59/34.81 inference(modus_ponens,[status(thm)],[25603, 25596])).
% 54.59/34.81 tff(25605,plain,
% 54.59/34.81 (((~![VarCurr: state_type] : (v148(VarCurr) | v166(VarCurr))) | (v148(constB105) | v166(constB105))) <=> ((~![VarCurr: state_type] : (v148(VarCurr) | v166(VarCurr))) | v148(constB105) | v166(constB105))),
% 54.59/34.81 inference(rewrite,[status(thm)],[])).
% 54.59/34.81 tff(25606,plain,
% 54.59/34.81 ((~![VarCurr: state_type] : (v148(VarCurr) | v166(VarCurr))) | (v148(constB105) | v166(constB105))),
% 54.59/34.81 inference(quant_inst,[status(thm)],[])).
% 54.59/34.81 tff(25607,plain,
% 54.59/34.81 ((~![VarCurr: state_type] : (v148(VarCurr) | v166(VarCurr))) | v148(constB105) | v166(constB105)),
% 54.59/34.81 inference(modus_ponens,[status(thm)],[25606, 25605])).
% 54.59/34.81 tff(25608,plain,
% 54.59/34.81 (v148(constB105)),
% 54.59/34.81 inference(unit_resolution,[status(thm)],[25607, 25604, 25594])).
% 54.59/34.81 tff(25609,plain,
% 54.59/34.81 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (v88(constB105, 0) | (~v88(constB105, 2)) | v88(constB105, 1) | v146(constB105))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB105, 0) | (~v88(constB105, 2)) | v88(constB105, 1) | v146(constB105))),
% 54.59/34.81 inference(rewrite,[status(thm)],[])).
% 54.59/34.81 tff(25610,plain,
% 54.59/34.81 (((~v88(constB105, 2)) | v88(constB105, 1) | v88(constB105, 0) | v146(constB105)) <=> (v88(constB105, 0) | (~v88(constB105, 2)) | v88(constB105, 1) | v146(constB105))),
% 54.59/34.81 inference(rewrite,[status(thm)],[])).
% 54.59/34.81 tff(25611,plain,
% 54.59/34.81 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB105, 2)) | v88(constB105, 1) | v88(constB105, 0) | v146(constB105))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (v88(constB105, 0) | (~v88(constB105, 2)) | v88(constB105, 1) | v146(constB105)))),
% 54.59/34.81 inference(monotonicity,[status(thm)],[25610])).
% 54.59/34.81 tff(25612,plain,
% 54.59/34.81 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB105, 2)) | v88(constB105, 1) | v88(constB105, 0) | v146(constB105))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB105, 0) | (~v88(constB105, 2)) | v88(constB105, 1) | v146(constB105))),
% 54.59/34.81 inference(transitivity,[status(thm)],[25611, 25609])).
% 54.59/34.81 tff(25613,plain,
% 54.59/34.81 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB105, 2)) | v88(constB105, 1) | v88(constB105, 0) | v146(constB105))),
% 54.59/34.81 inference(quant_inst,[status(thm)],[])).
% 54.59/34.81 tff(25614,plain,
% 54.59/34.81 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB105, 0) | (~v88(constB105, 2)) | v88(constB105, 1) | v146(constB105)),
% 54.59/34.81 inference(modus_ponens,[status(thm)],[25613, 25612])).
% 54.59/34.81 tff(25615,plain,
% 54.59/34.81 ((~v88(constB105, 2)) | v88(constB105, 1) | v146(constB105)),
% 54.59/34.81 inference(unit_resolution,[status(thm)],[25614, 14146, 25542])).
% 54.59/34.81 tff(25616,plain,
% 54.59/34.81 (v146(constB105)),
% 54.59/34.81 inference(unit_resolution,[status(thm)],[25615, 25509, 25494])).
% 54.59/34.81 tff(25617,plain,
% 54.59/34.81 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (v145(constB105) | (~v146(constB105)))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | v145(constB105) | (~v146(constB105)))),
% 54.59/34.81 inference(rewrite,[status(thm)],[])).
% 54.59/34.81 tff(25618,plain,
% 54.59/34.81 (((~v146(constB105)) | v145(constB105)) <=> (v145(constB105) | (~v146(constB105)))),
% 54.59/34.81 inference(rewrite,[status(thm)],[])).
% 54.59/34.81 tff(25619,plain,
% 54.59/34.81 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB105)) | v145(constB105))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (v145(constB105) | (~v146(constB105))))),
% 54.59/34.81 inference(monotonicity,[status(thm)],[25618])).
% 54.59/34.81 tff(25620,plain,
% 54.59/34.81 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB105)) | v145(constB105))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | v145(constB105) | (~v146(constB105)))),
% 54.59/34.81 inference(transitivity,[status(thm)],[25619, 25617])).
% 54.59/34.81 tff(25621,plain,
% 54.59/34.81 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB105)) | v145(constB105))),
% 54.59/34.81 inference(quant_inst,[status(thm)],[])).
% 54.59/34.81 tff(25622,plain,
% 54.59/34.81 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | v145(constB105) | (~v146(constB105))),
% 54.59/34.81 inference(modus_ponens,[status(thm)],[25621, 25620])).
% 54.59/34.81 tff(25623,plain,
% 54.59/34.81 (v145(constB105)),
% 54.59/34.81 inference(unit_resolution,[status(thm)],[25622, 14160, 25616])).
% 54.59/34.81 tff(25624,plain,
% 54.59/34.81 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v165(VarCurr))) | (v165(constB105) | (~v145(constB105)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v165(VarCurr))) | v165(constB105) | (~v145(constB105)))),
% 54.59/34.81 inference(rewrite,[status(thm)],[])).
% 54.59/34.81 tff(25625,plain,
% 54.59/34.81 (((~v145(constB105)) | v165(constB105)) <=> (v165(constB105) | (~v145(constB105)))),
% 54.59/34.81 inference(rewrite,[status(thm)],[])).
% 54.59/34.81 tff(25626,plain,
% 54.59/34.81 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v165(VarCurr))) | ((~v145(constB105)) | v165(constB105))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v165(VarCurr))) | (v165(constB105) | (~v145(constB105))))),
% 54.59/34.81 inference(monotonicity,[status(thm)],[25625])).
% 54.59/34.81 tff(25627,plain,
% 54.59/34.81 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v165(VarCurr))) | ((~v145(constB105)) | v165(constB105))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v165(VarCurr))) | v165(constB105) | (~v145(constB105)))),
% 54.59/34.81 inference(transitivity,[status(thm)],[25626, 25624])).
% 54.59/34.81 tff(25628,plain,
% 54.59/34.81 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v165(VarCurr))) | ((~v145(constB105)) | v165(constB105))),
% 54.59/34.81 inference(quant_inst,[status(thm)],[])).
% 54.59/34.81 tff(25629,plain,
% 54.59/34.81 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v165(VarCurr))) | v165(constB105) | (~v145(constB105))),
% 54.59/34.81 inference(modus_ponens,[status(thm)],[25628, 25627])).
% 54.59/34.81 tff(25630,plain,
% 54.59/34.81 (v165(constB105)),
% 54.59/34.81 inference(unit_resolution,[status(thm)],[25629, 14037, 25623])).
% 54.59/34.81 tff(25631,plain,
% 54.59/34.81 (^[VarNext: state_type] : refl(((~v148(VarNext)) | v86(VarNext) | (~v165(VarNext))) <=> ((~v148(VarNext)) | v86(VarNext) | (~v165(VarNext))))),
% 54.59/34.81 inference(bind,[status(th)],[])).
% 54.59/34.81 tff(25632,plain,
% 54.59/34.81 (![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v165(VarNext))) <=> ![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v165(VarNext)))),
% 54.59/34.81 inference(quant_intro,[status(thm)],[25631])).
% 54.59/34.81 tff(25633,plain,
% 54.59/34.81 (![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v165(VarNext))) <=> ![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v165(VarNext)))),
% 54.59/34.81 inference(rewrite,[status(thm)],[])).
% 54.59/34.81 tff(25634,plain,
% 54.59/34.81 (^[VarNext: state_type] : trans(monotonicity(rewrite(((~v165(VarNext)) | (~v148(VarNext))) <=> ((~v148(VarNext)) | (~v165(VarNext)))), ((((~v165(VarNext)) | (~v148(VarNext))) | v86(VarNext)) <=> (((~v148(VarNext)) | (~v165(VarNext))) | v86(VarNext)))), rewrite((((~v148(VarNext)) | (~v165(VarNext))) | v86(VarNext)) <=> ((~v148(VarNext)) | v86(VarNext) | (~v165(VarNext)))), ((((~v165(VarNext)) | (~v148(VarNext))) | v86(VarNext)) <=> ((~v148(VarNext)) | v86(VarNext) | (~v165(VarNext)))))),
% 54.59/34.81 inference(bind,[status(th)],[])).
% 54.59/34.81 tff(25635,plain,
% 54.59/34.81 (![VarNext: state_type] : (((~v165(VarNext)) | (~v148(VarNext))) | v86(VarNext)) <=> ![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v165(VarNext)))),
% 54.59/34.81 inference(quant_intro,[status(thm)],[25634])).
% 54.59/34.81 tff(25636,axiom,(![VarNext: state_type] : (((~v165(VarNext)) | (~v148(VarNext))) | v86(VarNext))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_4_1_1')).
% 54.59/34.81 tff(25637,plain,
% 54.59/34.81 (![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v165(VarNext)))),
% 54.59/34.81 inference(modus_ponens,[status(thm)],[25636, 25635])).
% 54.59/34.81 tff(25638,plain,
% 54.59/34.81 (![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v165(VarNext)))),
% 54.59/34.81 inference(modus_ponens,[status(thm)],[25637, 25633])).
% 54.59/34.81 tff(25639,plain,(
% 54.59/34.81 ![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v165(VarNext)))),
% 54.59/34.81 inference(skolemize,[status(sab)],[25638])).
% 54.59/34.81 tff(25640,plain,
% 54.59/34.81 (![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v165(VarNext)))),
% 54.59/34.81 inference(modus_ponens,[status(thm)],[25639, 25632])).
% 54.59/34.81 tff(25641,plain,
% 54.59/34.81 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v165(VarNext)))) | (v86(constB105) | (~v165(constB105)) | (~v148(constB105)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v165(VarNext)))) | v86(constB105) | (~v165(constB105)) | (~v148(constB105)))),
% 54.59/34.81 inference(rewrite,[status(thm)],[])).
% 54.59/34.81 tff(25642,plain,
% 54.59/34.81 (((~v148(constB105)) | v86(constB105) | (~v165(constB105))) <=> (v86(constB105) | (~v165(constB105)) | (~v148(constB105)))),
% 54.59/34.81 inference(rewrite,[status(thm)],[])).
% 54.59/34.81 tff(25643,plain,
% 54.59/34.81 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v165(VarNext)))) | ((~v148(constB105)) | v86(constB105) | (~v165(constB105)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v165(VarNext)))) | (v86(constB105) | (~v165(constB105)) | (~v148(constB105))))),
% 54.59/34.81 inference(monotonicity,[status(thm)],[25642])).
% 54.59/34.81 tff(25644,plain,
% 54.59/34.81 (((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v165(VarNext)))) | ((~v148(constB105)) | v86(constB105) | (~v165(constB105)))) <=> ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v165(VarNext)))) | v86(constB105) | (~v165(constB105)) | (~v148(constB105)))),
% 54.59/34.81 inference(transitivity,[status(thm)],[25643, 25641])).
% 54.59/34.81 tff(25645,plain,
% 54.59/34.81 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v165(VarNext)))) | ((~v148(constB105)) | v86(constB105) | (~v165(constB105)))),
% 54.59/34.81 inference(quant_inst,[status(thm)],[])).
% 54.59/34.81 tff(25646,plain,
% 54.59/34.81 ((~![VarNext: state_type] : ((~v148(VarNext)) | v86(VarNext) | (~v165(VarNext)))) | v86(constB105) | (~v165(constB105)) | (~v148(constB105))),
% 54.59/34.81 inference(modus_ponens,[status(thm)],[25645, 25644])).
% 54.59/34.81 tff(25647,plain,
% 54.59/34.81 (v86(constB105) | (~v148(constB105))),
% 54.59/34.81 inference(unit_resolution,[status(thm)],[25646, 25640, 25630])).
% 54.59/34.81 tff(25648,plain,
% 54.59/34.81 (v86(constB105)),
% 54.59/34.81 inference(unit_resolution,[status(thm)],[25647, 25608])).
% 54.59/34.81 tff(25649,plain,
% 54.59/34.81 ($false),
% 54.59/34.81 inference(unit_resolution,[status(thm)],[25648, 25490])).
% 54.59/34.81 tff(25650,plain,((~(constB105 = sK_VarCurr)) | v86(sK_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 54.59/34.81 tff(25651,plain,
% 54.59/34.81 (~(constB105 = sK_VarCurr)),
% 54.59/34.81 inference(unit_resolution,[status(thm)],[25650, 25484])).
% 54.59/34.81 tff(25652,assumption,(constB173 = sK_VarCurr), introduced(assumption)).
% 54.59/34.81 tff(25653,plain,
% 54.59/34.81 (v180(constB173) <=> v180(sK_VarCurr)),
% 54.59/34.81 inference(monotonicity,[status(thm)],[25652])).
% 54.59/34.81 tff(25654,plain,
% 54.59/34.81 (v180(sK_VarCurr) <=> v180(constB173)),
% 54.59/34.81 inference(symmetry,[status(thm)],[25653])).
% 54.59/34.81 tff(25655,plain,
% 54.59/34.81 (v180(constB173)),
% 54.59/34.81 inference(modus_ponens,[status(thm)],[819, 25654])).
% 54.59/34.81 tff(25656,plain,
% 54.59/34.81 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB149, 0) | (~v90(constB149, 1)) | v90(constB149, 2) | v121(constB149))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB149, 0) | (~v90(constB149, 1)) | v90(constB149, 2) | v121(constB149))),
% 54.59/34.81 inference(rewrite,[status(thm)],[])).
% 54.59/34.81 tff(25657,plain,
% 54.59/34.81 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB149, 0) | (~v90(constB149, 1)) | v90(constB149, 2) | v121(constB149))),
% 54.59/34.81 inference(quant_inst,[status(thm)],[])).
% 54.59/34.81 tff(25658,plain,
% 54.59/34.81 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB149, 0) | (~v90(constB149, 1)) | v90(constB149, 2) | v121(constB149)),
% 54.59/34.81 inference(modus_ponens,[status(thm)],[25657, 25656])).
% 54.59/34.81 tff(25659,plain,
% 54.59/34.81 (v121(constB149)),
% 54.59/34.81 inference(unit_resolution,[status(thm)],[25658, 1731, 24894, 24929, 24874])).
% 54.59/34.81 tff(25660,plain,
% 54.59/34.81 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB149)) | (~v130(constB149, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB149)) | (~v130(constB149, 2)))),
% 54.59/34.81 inference(rewrite,[status(thm)],[])).
% 54.59/34.81 tff(25661,plain,
% 54.59/34.81 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB149)) | (~v130(constB149, 2)))),
% 54.59/34.81 inference(quant_inst,[status(thm)],[])).
% 54.59/34.81 tff(25662,plain,
% 54.59/34.81 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB149)) | (~v130(constB149, 2))),
% 54.59/34.81 inference(modus_ponens,[status(thm)],[25661, 25660])).
% 54.59/34.81 tff(25663,plain,
% 54.59/34.81 (~v130(constB149, 2)),
% 54.59/34.81 inference(unit_resolution,[status(thm)],[25662, 1821, 25659])).
% 54.59/34.81 tff(25664,assumption,(v26(constB149)), introduced(assumption)).
% 54.59/34.81 tff(25665,plain,
% 54.59/34.81 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB149))),
% 54.59/34.81 inference(quant_inst,[status(thm)],[])).
% 54.59/34.81 tff(25666,plain,
% 54.59/34.81 ($false),
% 54.59/34.81 inference(unit_resolution,[status(thm)],[25665, 828, 25664])).
% 54.59/34.81 tff(25667,plain,(~v26(constB149)), inference(lemma,lemma(discharge,[]))).
% 54.59/34.81 tff(25668,plain,
% 54.59/34.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB149, 2)) | v26(constB149) | v130(constB149, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB149, 2)) | v26(constB149) | v130(constB149, 2))),
% 54.59/34.81 inference(rewrite,[status(thm)],[])).
% 54.59/34.81 tff(25669,plain,
% 54.59/34.81 ((v26(constB149) | v130(constB149, 2) | (~v127(constB149, 2))) <=> ((~v127(constB149, 2)) | v26(constB149) | v130(constB149, 2))),
% 54.59/34.81 inference(rewrite,[status(thm)],[])).
% 54.59/34.81 tff(25670,plain,
% 54.59/34.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB149) | v130(constB149, 2) | (~v127(constB149, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB149, 2)) | v26(constB149) | v130(constB149, 2)))),
% 54.59/34.81 inference(monotonicity,[status(thm)],[25669])).
% 54.59/34.81 tff(25671,plain,
% 54.59/34.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB149) | v130(constB149, 2) | (~v127(constB149, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB149, 2)) | v26(constB149) | v130(constB149, 2))),
% 54.59/34.81 inference(transitivity,[status(thm)],[25670, 25668])).
% 54.59/34.81 tff(25672,plain,
% 54.59/34.81 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB149) | v130(constB149, 2) | (~v127(constB149, 2)))),
% 54.59/34.81 inference(quant_inst,[status(thm)],[])).
% 54.59/34.81 tff(25673,plain,
% 54.59/34.81 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB149, 2)) | v26(constB149) | v130(constB149, 2)),
% 54.59/34.81 inference(modus_ponens,[status(thm)],[25672, 25671])).
% 54.59/34.81 tff(25674,plain,
% 54.59/34.81 ((~v127(constB149, 2)) | v130(constB149, 2)),
% 54.59/34.81 inference(unit_resolution,[status(thm)],[25673, 1190, 25667])).
% 54.59/34.81 tff(25675,plain,
% 54.59/34.81 (~v127(constB149, 2)),
% 54.59/34.81 inference(unit_resolution,[status(thm)],[25674, 25663])).
% 54.59/34.81 tff(25676,plain,
% 54.59/34.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB149, constB150)) | v127(constB149, 2) | (~v129(constB150, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB149, constB150)) | v127(constB149, 2) | (~v129(constB150, 2)))),
% 54.59/34.81 inference(rewrite,[status(thm)],[])).
% 54.59/34.81 tff(25677,plain,
% 54.59/34.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB149, constB150)) | v127(constB149, 2) | (~v129(constB150, 2)))),
% 54.59/34.81 inference(quant_inst,[status(thm)],[])).
% 54.59/34.81 tff(25678,plain,
% 54.59/34.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB149, constB150)) | v127(constB149, 2) | (~v129(constB150, 2))),
% 54.59/34.81 inference(modus_ponens,[status(thm)],[25677, 25676])).
% 54.59/34.81 tff(25679,plain,
% 54.59/34.81 (v127(constB149, 2) | (~v129(constB150, 2))),
% 54.59/34.81 inference(unit_resolution,[status(thm)],[25678, 1208, 25076])).
% 54.59/34.81 tff(25680,plain,
% 54.59/34.81 (~v129(constB150, 2)),
% 54.59/34.81 inference(unit_resolution,[status(thm)],[25679, 25675])).
% 54.59/34.81 tff(25681,assumption,(~v100(constB150)), introduced(assumption)).
% 54.59/34.81 tff(25682,assumption,(~v90(constB150, 0)), introduced(assumption)).
% 54.59/34.81 tff(25683,assumption,(~v90(constB150, 2)), introduced(assumption)).
% 54.59/34.81 tff(25684,plain,
% 54.59/34.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB149, 2)) | (~nextState(constB149, constB150)) | v100(constB150) | v90(constB150, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB149, 2)) | (~nextState(constB149, constB150)) | v100(constB150) | v90(constB150, 2))),
% 54.59/34.81 inference(rewrite,[status(thm)],[])).
% 54.59/34.81 tff(25685,plain,
% 54.59/34.81 (((~nextState(constB149, constB150)) | (~v90(constB149, 2)) | v100(constB150) | v90(constB150, 2)) <=> ((~v90(constB149, 2)) | (~nextState(constB149, constB150)) | v100(constB150) | v90(constB150, 2))),
% 54.59/34.81 inference(rewrite,[status(thm)],[])).
% 54.59/34.81 tff(25686,plain,
% 54.59/34.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB149, constB150)) | (~v90(constB149, 2)) | v100(constB150) | v90(constB150, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB149, 2)) | (~nextState(constB149, constB150)) | v100(constB150) | v90(constB150, 2)))),
% 54.59/34.81 inference(monotonicity,[status(thm)],[25685])).
% 54.59/34.81 tff(25687,plain,
% 54.59/34.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB149, constB150)) | (~v90(constB149, 2)) | v100(constB150) | v90(constB150, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB149, 2)) | (~nextState(constB149, constB150)) | v100(constB150) | v90(constB150, 2))),
% 54.59/34.81 inference(transitivity,[status(thm)],[25686, 25684])).
% 54.59/34.81 tff(25688,plain,
% 54.59/34.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB149, constB150)) | (~v90(constB149, 2)) | v100(constB150) | v90(constB150, 2))),
% 54.59/34.81 inference(quant_inst,[status(thm)],[])).
% 54.59/34.81 tff(25689,plain,
% 54.59/34.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB149, 2)) | (~nextState(constB149, constB150)) | v100(constB150) | v90(constB150, 2)),
% 54.59/34.81 inference(modus_ponens,[status(thm)],[25688, 25687])).
% 54.59/34.81 tff(25690,plain,
% 54.59/34.81 ((~v90(constB149, 2)) | v100(constB150) | v90(constB150, 2)),
% 54.59/34.81 inference(unit_resolution,[status(thm)],[25689, 2174, 25076])).
% 54.59/34.81 tff(25691,plain,
% 54.59/34.81 (~v90(constB149, 2)),
% 54.59/34.81 inference(unit_resolution,[status(thm)],[25690, 25681, 25683])).
% 54.59/34.81 tff(25692,assumption,(~v90(constB150, 1)), introduced(assumption)).
% 54.59/34.81 tff(25693,plain,
% 54.59/34.81 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))) | ((~v121(constB150)) | v90(constB150, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))) | (~v121(constB150)) | v90(constB150, 1))),
% 54.59/34.81 inference(rewrite,[status(thm)],[])).
% 54.59/34.81 tff(25694,plain,
% 54.59/34.81 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))) | ((~v121(constB150)) | v90(constB150, 1))),
% 54.59/34.81 inference(quant_inst,[status(thm)],[])).
% 54.59/34.81 tff(25695,plain,
% 54.59/34.81 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))) | (~v121(constB150)) | v90(constB150, 1)),
% 54.59/34.81 inference(modus_ponens,[status(thm)],[25694, 25693])).
% 54.59/34.81 tff(25696,plain,
% 54.59/34.81 (~v121(constB150)),
% 54.59/34.81 inference(unit_resolution,[status(thm)],[25695, 6012, 25692])).
% 54.59/34.81 tff(25697,plain,
% 54.59/34.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB149, 1)) | (~nextState(constB149, constB150)) | v100(constB150) | v90(constB150, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB149, 1)) | (~nextState(constB149, constB150)) | v100(constB150) | v90(constB150, 1))),
% 54.59/34.81 inference(rewrite,[status(thm)],[])).
% 54.59/34.81 tff(25698,plain,
% 54.59/34.81 (((~nextState(constB149, constB150)) | (~v90(constB149, 1)) | v100(constB150) | v90(constB150, 1)) <=> ((~v90(constB149, 1)) | (~nextState(constB149, constB150)) | v100(constB150) | v90(constB150, 1))),
% 54.59/34.81 inference(rewrite,[status(thm)],[])).
% 54.59/34.81 tff(25699,plain,
% 54.59/34.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB149, constB150)) | (~v90(constB149, 1)) | v100(constB150) | v90(constB150, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB149, 1)) | (~nextState(constB149, constB150)) | v100(constB150) | v90(constB150, 1)))),
% 54.59/34.81 inference(monotonicity,[status(thm)],[25698])).
% 54.59/34.81 tff(25700,plain,
% 54.59/34.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB149, constB150)) | (~v90(constB149, 1)) | v100(constB150) | v90(constB150, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB149, 1)) | (~nextState(constB149, constB150)) | v100(constB150) | v90(constB150, 1))),
% 54.59/34.81 inference(transitivity,[status(thm)],[25699, 25697])).
% 54.59/34.81 tff(25701,plain,
% 54.59/34.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB149, constB150)) | (~v90(constB149, 1)) | v100(constB150) | v90(constB150, 1))),
% 54.59/34.81 inference(quant_inst,[status(thm)],[])).
% 54.59/34.81 tff(25702,plain,
% 54.59/34.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB149, 1)) | (~nextState(constB149, constB150)) | v100(constB150) | v90(constB150, 1)),
% 54.59/34.81 inference(modus_ponens,[status(thm)],[25701, 25700])).
% 54.59/34.81 tff(25703,plain,
% 54.59/34.81 ((~v90(constB149, 1)) | v100(constB150) | v90(constB150, 1)),
% 54.59/34.81 inference(unit_resolution,[status(thm)],[25702, 1641, 25076])).
% 54.59/34.81 tff(25704,plain,
% 54.59/34.81 (~v90(constB149, 1)),
% 54.59/34.81 inference(unit_resolution,[status(thm)],[25703, 25681, 25692])).
% 54.59/34.81 tff(25705,plain,
% 54.59/34.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB149, 0)) | (~nextState(constB149, constB150)) | v100(constB150) | v90(constB150, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB149, 0)) | (~nextState(constB149, constB150)) | v100(constB150) | v90(constB150, 0))),
% 54.59/34.81 inference(rewrite,[status(thm)],[])).
% 54.59/34.81 tff(25706,plain,
% 54.59/34.81 (((~nextState(constB149, constB150)) | (~v90(constB149, 0)) | v100(constB150) | v90(constB150, 0)) <=> ((~v90(constB149, 0)) | (~nextState(constB149, constB150)) | v100(constB150) | v90(constB150, 0))),
% 54.59/34.81 inference(rewrite,[status(thm)],[])).
% 54.59/34.81 tff(25707,plain,
% 54.59/34.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB149, constB150)) | (~v90(constB149, 0)) | v100(constB150) | v90(constB150, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB149, 0)) | (~nextState(constB149, constB150)) | v100(constB150) | v90(constB150, 0)))),
% 54.59/34.81 inference(monotonicity,[status(thm)],[25706])).
% 54.59/34.81 tff(25708,plain,
% 54.59/34.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB149, constB150)) | (~v90(constB149, 0)) | v100(constB150) | v90(constB150, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB149, 0)) | (~nextState(constB149, constB150)) | v100(constB150) | v90(constB150, 0))),
% 54.59/34.81 inference(transitivity,[status(thm)],[25707, 25705])).
% 54.59/34.81 tff(25709,plain,
% 54.59/34.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB149, constB150)) | (~v90(constB149, 0)) | v100(constB150) | v90(constB150, 0))),
% 54.59/34.81 inference(quant_inst,[status(thm)],[])).
% 54.59/34.81 tff(25710,plain,
% 54.59/34.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB149, 0)) | (~nextState(constB149, constB150)) | v100(constB150) | v90(constB150, 0)),
% 54.59/34.81 inference(modus_ponens,[status(thm)],[25709, 25708])).
% 54.59/34.81 tff(25711,plain,
% 54.59/34.81 ((~v90(constB149, 0)) | v100(constB150) | v90(constB150, 0)),
% 54.59/34.81 inference(unit_resolution,[status(thm)],[25710, 1395, 25076])).
% 54.59/34.81 tff(25712,plain,
% 54.59/34.81 (~v90(constB149, 0)),
% 54.59/34.81 inference(unit_resolution,[status(thm)],[25711, 25681, 25682])).
% 54.59/34.81 tff(25713,plain,
% 54.59/34.81 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB149, 0) | v90(constB149, 1) | v90(constB149, 2) | v119(constB149))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB149, 0) | v90(constB149, 1) | v90(constB149, 2) | v119(constB149))),
% 54.59/34.81 inference(rewrite,[status(thm)],[])).
% 54.59/34.81 tff(25714,plain,
% 54.59/34.81 ((v90(constB149, 0) | v119(constB149) | v90(constB149, 1) | v90(constB149, 2)) <=> (v90(constB149, 0) | v90(constB149, 1) | v90(constB149, 2) | v119(constB149))),
% 54.59/34.81 inference(rewrite,[status(thm)],[])).
% 54.59/34.81 tff(25715,plain,
% 54.59/34.81 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB149, 0) | v119(constB149) | v90(constB149, 1) | v90(constB149, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB149, 0) | v90(constB149, 1) | v90(constB149, 2) | v119(constB149)))),
% 54.59/34.81 inference(monotonicity,[status(thm)],[25714])).
% 54.59/34.81 tff(25716,plain,
% 54.59/34.81 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB149, 0) | v119(constB149) | v90(constB149, 1) | v90(constB149, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB149, 0) | v90(constB149, 1) | v90(constB149, 2) | v119(constB149))),
% 54.59/34.81 inference(transitivity,[status(thm)],[25715, 25713])).
% 54.59/34.81 tff(25717,plain,
% 54.59/34.81 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB149, 0) | v119(constB149) | v90(constB149, 1) | v90(constB149, 2))),
% 54.59/34.81 inference(quant_inst,[status(thm)],[])).
% 54.59/34.81 tff(25718,plain,
% 54.59/34.81 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB149, 0) | v90(constB149, 1) | v90(constB149, 2) | v119(constB149)),
% 54.59/34.81 inference(modus_ponens,[status(thm)],[25717, 25716])).
% 54.59/34.81 tff(25719,plain,
% 54.59/34.81 (v119(constB149)),
% 54.59/34.81 inference(unit_resolution,[status(thm)],[25718, 968, 25712, 25704, 25691])).
% 54.59/34.81 tff(25720,plain,
% 54.59/34.81 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB149) | (~v119(constB149)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB149) | (~v119(constB149)))),
% 54.59/34.81 inference(rewrite,[status(thm)],[])).
% 54.59/34.81 tff(25721,plain,
% 54.59/34.81 (((~v119(constB149)) | v118(constB149)) <=> (v118(constB149) | (~v119(constB149)))),
% 54.59/34.81 inference(rewrite,[status(thm)],[])).
% 54.59/34.81 tff(25722,plain,
% 54.59/34.81 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB149)) | v118(constB149))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB149) | (~v119(constB149))))),
% 54.59/34.81 inference(monotonicity,[status(thm)],[25721])).
% 54.59/34.81 tff(25723,plain,
% 54.59/34.81 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB149)) | v118(constB149))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB149) | (~v119(constB149)))),
% 54.59/34.81 inference(transitivity,[status(thm)],[25722, 25720])).
% 54.59/34.81 tff(25724,plain,
% 54.59/34.81 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB149)) | v118(constB149))),
% 54.59/34.81 inference(quant_inst,[status(thm)],[])).
% 54.59/34.81 tff(25725,plain,
% 54.59/34.81 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB149) | (~v119(constB149))),
% 54.59/34.81 inference(modus_ponens,[status(thm)],[25724, 25723])).
% 54.59/34.81 tff(25726,plain,
% 54.59/34.81 (v118(constB149)),
% 54.59/34.81 inference(unit_resolution,[status(thm)],[25725, 982, 25719])).
% 54.59/34.81 tff(25727,plain,
% 54.59/34.81 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB149) | (~v118(constB149)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB149) | (~v118(constB149)))),
% 54.59/34.81 inference(rewrite,[status(thm)],[])).
% 54.59/34.81 tff(25728,plain,
% 54.59/34.81 (((~v118(constB149)) | v117(constB149)) <=> (v117(constB149) | (~v118(constB149)))),
% 54.59/34.81 inference(rewrite,[status(thm)],[])).
% 54.59/34.81 tff(25729,plain,
% 54.59/34.81 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB149)) | v117(constB149))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB149) | (~v118(constB149))))),
% 54.59/34.81 inference(monotonicity,[status(thm)],[25728])).
% 54.59/34.81 tff(25730,plain,
% 54.59/34.81 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB149)) | v117(constB149))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB149) | (~v118(constB149)))),
% 54.59/34.81 inference(transitivity,[status(thm)],[25729, 25727])).
% 54.59/34.81 tff(25731,plain,
% 54.59/34.81 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB149)) | v117(constB149))),
% 54.59/34.81 inference(quant_inst,[status(thm)],[])).
% 54.59/34.81 tff(25732,plain,
% 54.59/34.81 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB149) | (~v118(constB149))),
% 54.59/34.81 inference(modus_ponens,[status(thm)],[25731, 25730])).
% 54.59/34.81 tff(25733,plain,
% 54.59/34.81 (v117(constB149)),
% 54.59/34.81 inference(unit_resolution,[status(thm)],[25732, 993, 25726])).
% 54.59/34.81 tff(25734,plain,
% 54.59/34.81 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB149) | (~v117(constB149)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB149) | (~v117(constB149)))),
% 54.59/34.81 inference(rewrite,[status(thm)],[])).
% 54.59/34.81 tff(25735,plain,
% 54.59/34.81 (((~v117(constB149)) | v116(constB149)) <=> (v116(constB149) | (~v117(constB149)))),
% 54.59/34.81 inference(rewrite,[status(thm)],[])).
% 54.59/34.81 tff(25736,plain,
% 54.59/34.81 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB149)) | v116(constB149))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB149) | (~v117(constB149))))),
% 54.59/34.81 inference(monotonicity,[status(thm)],[25735])).
% 54.59/34.81 tff(25737,plain,
% 54.59/34.81 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB149)) | v116(constB149))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB149) | (~v117(constB149)))),
% 54.59/34.81 inference(transitivity,[status(thm)],[25736, 25734])).
% 54.59/34.81 tff(25738,plain,
% 54.59/34.81 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB149)) | v116(constB149))),
% 54.59/34.81 inference(quant_inst,[status(thm)],[])).
% 54.59/34.81 tff(25739,plain,
% 54.59/34.81 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB149) | (~v117(constB149))),
% 54.59/34.81 inference(modus_ponens,[status(thm)],[25738, 25737])).
% 54.59/34.82 tff(25740,plain,
% 54.59/34.82 (v116(constB149)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25739, 1007, 25733])).
% 54.59/34.82 tff(25741,plain,
% 54.59/34.82 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB149) | (~nextState(constB149, constB150)) | (~v104(constB150)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB149) | (~nextState(constB149, constB150)) | (~v104(constB150)))),
% 54.59/34.82 inference(rewrite,[status(thm)],[])).
% 54.59/34.82 tff(25742,plain,
% 54.59/34.82 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB149) | (~nextState(constB149, constB150)) | (~v104(constB150)))),
% 54.59/34.82 inference(quant_inst,[status(thm)],[])).
% 54.59/34.82 tff(25743,plain,
% 54.59/34.82 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB149) | (~nextState(constB149, constB150)) | (~v104(constB150))),
% 54.59/34.82 inference(modus_ponens,[status(thm)],[25742, 25741])).
% 54.59/34.82 tff(25744,plain,
% 54.59/34.82 (~v104(constB150)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25743, 1113, 25076, 24850])).
% 54.59/34.82 tff(25745,plain,
% 54.59/34.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB149, constB150)) | v102(constB150) | v104(constB150))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB149, constB150)) | v102(constB150) | v104(constB150))),
% 54.59/34.82 inference(rewrite,[status(thm)],[])).
% 54.59/34.82 tff(25746,plain,
% 54.59/34.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB149, constB150)) | v102(constB150) | v104(constB150))),
% 54.59/34.82 inference(quant_inst,[status(thm)],[])).
% 54.59/34.82 tff(25747,plain,
% 54.59/34.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB149, constB150)) | v102(constB150) | v104(constB150)),
% 54.59/34.82 inference(modus_ponens,[status(thm)],[25746, 25745])).
% 54.59/34.82 tff(25748,plain,
% 54.59/34.82 (v102(constB150) | v104(constB150)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25747, 1127, 25076])).
% 54.59/34.82 tff(25749,plain,
% 54.59/34.82 (v102(constB150)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25748, 25744])).
% 54.59/34.82 tff(25750,plain,
% 54.59/34.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB149, constB150)) | v101(constB150) | (~v102(constB150)) | (~v1(constB150)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB149, constB150)) | v101(constB150) | (~v102(constB150)) | (~v1(constB150)))),
% 54.59/34.82 inference(rewrite,[status(thm)],[])).
% 54.59/34.82 tff(25751,plain,
% 54.59/34.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB149, constB150)) | v101(constB150) | (~v102(constB150)) | (~v1(constB150)))),
% 54.59/34.82 inference(quant_inst,[status(thm)],[])).
% 54.59/34.82 tff(25752,plain,
% 54.59/34.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB149, constB150)) | v101(constB150) | (~v102(constB150)) | (~v1(constB150))),
% 54.59/34.82 inference(modus_ponens,[status(thm)],[25751, 25750])).
% 54.59/34.82 tff(25753,plain,
% 54.59/34.82 (v101(constB150) | (~v102(constB150))),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25752, 1145, 25076, 25060])).
% 54.59/34.82 tff(25754,plain,
% 54.59/34.82 (v101(constB150)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25753, 25749])).
% 54.59/34.82 tff(25755,plain,
% 54.59/34.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150)))),
% 54.59/34.82 inference(rewrite,[status(thm)],[])).
% 54.59/34.82 tff(25756,plain,
% 54.59/34.82 (((~nextState(constB149, constB150)) | (~v101(constB150)) | (~v110(constB150)) | v100(constB150)) <=> ((~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150)))),
% 54.59/34.82 inference(rewrite,[status(thm)],[])).
% 54.59/34.82 tff(25757,plain,
% 54.59/34.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB149, constB150)) | (~v101(constB150)) | (~v110(constB150)) | v100(constB150))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150))))),
% 54.59/34.82 inference(monotonicity,[status(thm)],[25756])).
% 54.59/34.82 tff(25758,plain,
% 54.59/34.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB149, constB150)) | (~v101(constB150)) | (~v110(constB150)) | v100(constB150))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150)))),
% 54.59/34.82 inference(transitivity,[status(thm)],[25757, 25755])).
% 54.59/34.82 tff(25759,plain,
% 54.59/34.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB149, constB150)) | (~v101(constB150)) | (~v110(constB150)) | v100(constB150))),
% 54.59/34.82 inference(quant_inst,[status(thm)],[])).
% 54.59/34.82 tff(25760,plain,
% 54.59/34.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB149, constB150)) | v100(constB150) | (~v101(constB150)) | (~v110(constB150))),
% 54.59/34.82 inference(modus_ponens,[status(thm)],[25759, 25758])).
% 54.59/34.82 tff(25761,plain,
% 54.59/34.82 (v100(constB150) | (~v101(constB150)) | (~v110(constB150))),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25760, 1160, 25076])).
% 54.59/34.82 tff(25762,plain,
% 54.59/34.82 (v100(constB150) | (~v110(constB150))),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25761, 25754])).
% 54.59/34.82 tff(25763,plain,
% 54.59/34.82 (~v110(constB150)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25762, 25681])).
% 54.59/34.82 tff(25764,plain,
% 54.59/34.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149)))),
% 54.59/34.82 inference(rewrite,[status(thm)],[])).
% 54.59/34.82 tff(25765,plain,
% 54.59/34.82 (((~nextState(constB149, constB150)) | (~v108(constB149)) | v110(constB150)) <=> ((~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149)))),
% 54.59/34.82 inference(rewrite,[status(thm)],[])).
% 54.59/34.82 tff(25766,plain,
% 54.59/34.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB149, constB150)) | (~v108(constB149)) | v110(constB150))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149))))),
% 54.59/34.82 inference(monotonicity,[status(thm)],[25765])).
% 54.59/34.82 tff(25767,plain,
% 54.59/34.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB149, constB150)) | (~v108(constB149)) | v110(constB150))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149)))),
% 54.59/34.82 inference(transitivity,[status(thm)],[25766, 25764])).
% 54.59/34.82 tff(25768,plain,
% 54.59/34.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB149, constB150)) | (~v108(constB149)) | v110(constB150))),
% 54.59/34.82 inference(quant_inst,[status(thm)],[])).
% 54.59/34.82 tff(25769,plain,
% 54.59/34.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB149, constB150)) | v110(constB150) | (~v108(constB149))),
% 54.59/34.82 inference(modus_ponens,[status(thm)],[25768, 25767])).
% 54.59/34.82 tff(25770,plain,
% 54.59/34.82 (v110(constB150) | (~v108(constB149))),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25769, 1095, 25076])).
% 54.59/34.82 tff(25771,plain,
% 54.59/34.82 (~v108(constB149)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25770, 25763])).
% 54.59/34.82 tff(25772,plain,
% 54.59/34.82 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB149) | (~v112(constB149)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB149) | (~v112(constB149)))),
% 54.59/34.82 inference(rewrite,[status(thm)],[])).
% 54.59/34.82 tff(25773,plain,
% 54.59/34.82 (((~v112(constB149)) | v108(constB149)) <=> (v108(constB149) | (~v112(constB149)))),
% 54.59/34.82 inference(rewrite,[status(thm)],[])).
% 54.59/34.82 tff(25774,plain,
% 54.59/34.82 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB149)) | v108(constB149))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB149) | (~v112(constB149))))),
% 54.59/34.82 inference(monotonicity,[status(thm)],[25773])).
% 54.59/34.82 tff(25775,plain,
% 54.59/34.82 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB149)) | v108(constB149))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB149) | (~v112(constB149)))),
% 54.59/34.82 inference(transitivity,[status(thm)],[25774, 25772])).
% 54.59/34.82 tff(25776,plain,
% 54.59/34.82 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB149)) | v108(constB149))),
% 54.59/34.82 inference(quant_inst,[status(thm)],[])).
% 54.59/34.82 tff(25777,plain,
% 54.59/34.82 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB149) | (~v112(constB149))),
% 54.59/34.82 inference(modus_ponens,[status(thm)],[25776, 25775])).
% 54.59/34.82 tff(25778,plain,
% 54.59/34.82 (~v112(constB149)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25777, 1075, 25771])).
% 54.59/34.82 tff(25779,plain,
% 54.59/34.82 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB149) | v112(constB149) | (~v113(constB149)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB149) | v112(constB149) | (~v113(constB149)))),
% 54.59/34.82 inference(rewrite,[status(thm)],[])).
% 54.59/34.82 tff(25780,plain,
% 54.59/34.82 ((v26(constB149) | (~v113(constB149)) | v112(constB149)) <=> (v26(constB149) | v112(constB149) | (~v113(constB149)))),
% 54.59/34.82 inference(rewrite,[status(thm)],[])).
% 54.59/34.82 tff(25781,plain,
% 54.59/34.82 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB149) | (~v113(constB149)) | v112(constB149))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB149) | v112(constB149) | (~v113(constB149))))),
% 54.59/34.82 inference(monotonicity,[status(thm)],[25780])).
% 54.59/34.82 tff(25782,plain,
% 54.59/34.82 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB149) | (~v113(constB149)) | v112(constB149))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB149) | v112(constB149) | (~v113(constB149)))),
% 54.59/34.82 inference(transitivity,[status(thm)],[25781, 25779])).
% 54.59/34.82 tff(25783,plain,
% 54.59/34.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB149) | (~v113(constB149)) | v112(constB149))),
% 54.59/34.82 inference(quant_inst,[status(thm)],[])).
% 54.59/34.82 tff(25784,plain,
% 54.59/34.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB149) | v112(constB149) | (~v113(constB149))),
% 54.59/34.82 inference(modus_ponens,[status(thm)],[25783, 25782])).
% 54.59/34.82 tff(25785,plain,
% 54.59/34.82 (v112(constB149) | (~v113(constB149))),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25784, 1063, 25667])).
% 54.59/34.82 tff(25786,plain,
% 54.59/34.82 (~v113(constB149)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25785, 25778])).
% 54.59/34.82 tff(25787,plain,
% 54.59/34.82 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB149) | (~v114(constB149)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB149) | (~v114(constB149)))),
% 54.59/34.82 inference(rewrite,[status(thm)],[])).
% 54.59/34.82 tff(25788,plain,
% 54.59/34.82 (((~v114(constB149)) | v113(constB149)) <=> (v113(constB149) | (~v114(constB149)))),
% 54.59/34.82 inference(rewrite,[status(thm)],[])).
% 54.59/34.82 tff(25789,plain,
% 54.59/34.82 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB149)) | v113(constB149))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB149) | (~v114(constB149))))),
% 54.59/34.82 inference(monotonicity,[status(thm)],[25788])).
% 54.59/34.82 tff(25790,plain,
% 54.59/34.82 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB149)) | v113(constB149))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB149) | (~v114(constB149)))),
% 54.59/34.82 inference(transitivity,[status(thm)],[25789, 25787])).
% 54.59/34.82 tff(25791,plain,
% 54.59/34.82 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB149)) | v113(constB149))),
% 54.59/34.82 inference(quant_inst,[status(thm)],[])).
% 54.59/34.82 tff(25792,plain,
% 54.59/34.82 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB149) | (~v114(constB149))),
% 54.59/34.82 inference(modus_ponens,[status(thm)],[25791, 25790])).
% 54.59/34.82 tff(25793,plain,
% 54.59/34.82 (~v114(constB149)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25792, 1049, 25786])).
% 54.59/34.82 tff(25794,plain,
% 54.59/34.82 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB149) | (~v115(constB149)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB149) | (~v115(constB149)))),
% 54.59/34.82 inference(rewrite,[status(thm)],[])).
% 54.59/34.82 tff(25795,plain,
% 54.59/34.82 (((~v115(constB149)) | v114(constB149)) <=> (v114(constB149) | (~v115(constB149)))),
% 54.59/34.82 inference(rewrite,[status(thm)],[])).
% 54.59/34.82 tff(25796,plain,
% 54.59/34.82 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB149)) | v114(constB149))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB149) | (~v115(constB149))))),
% 54.59/34.82 inference(monotonicity,[status(thm)],[25795])).
% 54.59/34.82 tff(25797,plain,
% 54.59/34.82 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB149)) | v114(constB149))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB149) | (~v115(constB149)))),
% 54.59/34.82 inference(transitivity,[status(thm)],[25796, 25794])).
% 54.59/34.82 tff(25798,plain,
% 54.59/34.82 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB149)) | v114(constB149))),
% 54.59/34.82 inference(quant_inst,[status(thm)],[])).
% 54.59/34.82 tff(25799,plain,
% 54.59/34.82 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB149) | (~v115(constB149))),
% 54.59/34.82 inference(modus_ponens,[status(thm)],[25798, 25797])).
% 54.59/34.82 tff(25800,plain,
% 54.59/34.82 (~v115(constB149)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25799, 1035, 25793])).
% 54.59/34.82 tff(25801,plain,
% 54.59/34.82 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB149) | (~v116(constB149)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB149) | (~v116(constB149)))),
% 54.59/34.82 inference(rewrite,[status(thm)],[])).
% 54.59/34.82 tff(25802,plain,
% 54.59/34.82 (((~v116(constB149)) | v115(constB149)) <=> (v115(constB149) | (~v116(constB149)))),
% 54.59/34.82 inference(rewrite,[status(thm)],[])).
% 54.59/34.82 tff(25803,plain,
% 54.59/34.82 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB149)) | v115(constB149))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB149) | (~v116(constB149))))),
% 54.59/34.82 inference(monotonicity,[status(thm)],[25802])).
% 54.59/34.82 tff(25804,plain,
% 54.59/34.82 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB149)) | v115(constB149))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB149) | (~v116(constB149)))),
% 54.59/34.82 inference(transitivity,[status(thm)],[25803, 25801])).
% 54.59/34.82 tff(25805,plain,
% 54.59/34.82 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB149)) | v115(constB149))),
% 54.59/34.82 inference(quant_inst,[status(thm)],[])).
% 54.59/34.82 tff(25806,plain,
% 54.59/34.82 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB149) | (~v116(constB149))),
% 54.59/34.82 inference(modus_ponens,[status(thm)],[25805, 25804])).
% 54.59/34.82 tff(25807,plain,
% 54.59/34.82 ($false),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25806, 1021, 25800, 25740])).
% 54.59/34.82 tff(25808,plain,(v100(constB150) | v90(constB150, 1) | v90(constB150, 2) | v90(constB150, 0)), inference(lemma,lemma(discharge,[]))).
% 54.59/34.82 tff(25809,plain,
% 54.59/34.82 (v100(constB150)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25808, 25692, 25683, 25682])).
% 54.59/34.82 tff(25810,plain,
% 54.59/34.82 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB150, 0) | (~v129(constB150, 0)) | (~v100(constB150)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB150, 0) | (~v129(constB150, 0)) | (~v100(constB150)))),
% 54.59/34.82 inference(rewrite,[status(thm)],[])).
% 54.59/34.82 tff(25811,plain,
% 54.59/34.82 ((v90(constB150, 0) | (~v100(constB150)) | (~v129(constB150, 0))) <=> (v90(constB150, 0) | (~v129(constB150, 0)) | (~v100(constB150)))),
% 54.59/34.82 inference(rewrite,[status(thm)],[])).
% 54.59/34.82 tff(25812,plain,
% 54.59/34.82 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB150, 0) | (~v100(constB150)) | (~v129(constB150, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB150, 0) | (~v129(constB150, 0)) | (~v100(constB150))))),
% 54.59/34.82 inference(monotonicity,[status(thm)],[25811])).
% 54.59/34.82 tff(25813,plain,
% 54.59/34.82 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB150, 0) | (~v100(constB150)) | (~v129(constB150, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB150, 0) | (~v129(constB150, 0)) | (~v100(constB150)))),
% 54.59/34.82 inference(transitivity,[status(thm)],[25812, 25810])).
% 54.59/34.82 tff(25814,plain,
% 54.59/34.82 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB150, 0) | (~v100(constB150)) | (~v129(constB150, 0)))),
% 54.59/34.82 inference(quant_inst,[status(thm)],[])).
% 54.59/34.82 tff(25815,plain,
% 54.59/34.82 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB150, 0) | (~v129(constB150, 0)) | (~v100(constB150))),
% 54.59/34.82 inference(modus_ponens,[status(thm)],[25814, 25813])).
% 54.59/34.82 tff(25816,plain,
% 54.59/34.82 ((~v129(constB150, 0)) | (~v100(constB150))),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25815, 1377, 25682])).
% 54.59/34.82 tff(25817,plain,
% 54.59/34.82 (~v129(constB150, 0)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25816, 25809])).
% 54.59/34.82 tff(25818,plain,
% 54.59/34.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB149, constB150)) | (~v127(constB149, 0)) | v129(constB150, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB149, constB150)) | (~v127(constB149, 0)) | v129(constB150, 0))),
% 54.59/34.82 inference(rewrite,[status(thm)],[])).
% 54.59/34.82 tff(25819,plain,
% 54.59/34.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB149, constB150)) | (~v127(constB149, 0)) | v129(constB150, 0))),
% 54.59/34.82 inference(quant_inst,[status(thm)],[])).
% 54.59/34.82 tff(25820,plain,
% 54.59/34.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB149, constB150)) | (~v127(constB149, 0)) | v129(constB150, 0)),
% 54.59/34.82 inference(modus_ponens,[status(thm)],[25819, 25818])).
% 54.59/34.82 tff(25821,plain,
% 54.59/34.82 ((~v127(constB149, 0)) | v129(constB150, 0)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25820, 1362, 25076])).
% 54.59/34.82 tff(25822,plain,
% 54.59/34.82 (~v127(constB149, 0)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25821, 25817])).
% 54.59/34.82 tff(25823,plain,
% 54.59/34.82 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB150, 2) | (~v129(constB150, 2)) | (~v100(constB150)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB150, 2) | (~v129(constB150, 2)) | (~v100(constB150)))),
% 54.59/34.82 inference(rewrite,[status(thm)],[])).
% 54.59/34.82 tff(25824,plain,
% 54.59/34.82 ((v90(constB150, 2) | (~v100(constB150)) | (~v129(constB150, 2))) <=> (v90(constB150, 2) | (~v129(constB150, 2)) | (~v100(constB150)))),
% 54.59/34.82 inference(rewrite,[status(thm)],[])).
% 54.59/34.82 tff(25825,plain,
% 54.59/34.82 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB150, 2) | (~v100(constB150)) | (~v129(constB150, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB150, 2) | (~v129(constB150, 2)) | (~v100(constB150))))),
% 54.59/34.82 inference(monotonicity,[status(thm)],[25824])).
% 54.59/34.82 tff(25826,plain,
% 54.59/34.82 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB150, 2) | (~v100(constB150)) | (~v129(constB150, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB150, 2) | (~v129(constB150, 2)) | (~v100(constB150)))),
% 54.59/34.82 inference(transitivity,[status(thm)],[25825, 25823])).
% 54.59/34.82 tff(25827,plain,
% 54.59/34.82 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB150, 2) | (~v100(constB150)) | (~v129(constB150, 2)))),
% 54.59/34.82 inference(quant_inst,[status(thm)],[])).
% 54.59/34.82 tff(25828,plain,
% 54.59/34.82 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB150, 2) | (~v129(constB150, 2)) | (~v100(constB150))),
% 54.59/34.82 inference(modus_ponens,[status(thm)],[25827, 25826])).
% 54.59/34.82 tff(25829,plain,
% 54.59/34.82 ((~v129(constB150, 2)) | (~v100(constB150))),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25828, 2324, 25683])).
% 54.59/34.82 tff(25830,plain,
% 54.59/34.82 (~v129(constB150, 2)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25829, 25809])).
% 54.59/34.82 tff(25831,plain,
% 54.59/34.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB149, constB150)) | (~v127(constB149, 2)) | v129(constB150, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB149, constB150)) | (~v127(constB149, 2)) | v129(constB150, 2))),
% 54.59/34.82 inference(rewrite,[status(thm)],[])).
% 54.59/34.82 tff(25832,plain,
% 54.59/34.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB149, constB150)) | (~v127(constB149, 2)) | v129(constB150, 2))),
% 54.59/34.82 inference(quant_inst,[status(thm)],[])).
% 54.59/34.82 tff(25833,plain,
% 54.59/34.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB149, constB150)) | (~v127(constB149, 2)) | v129(constB150, 2)),
% 54.59/34.82 inference(modus_ponens,[status(thm)],[25832, 25831])).
% 54.59/34.82 tff(25834,plain,
% 54.59/34.82 ((~v127(constB149, 2)) | v129(constB150, 2)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25833, 1999, 25076])).
% 54.59/34.82 tff(25835,plain,
% 54.59/34.82 (~v127(constB149, 2)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25834, 25830])).
% 54.59/34.82 tff(25836,assumption,(~v26(constB149)), introduced(assumption)).
% 54.59/34.82 tff(25837,assumption,(~v127(constB149, 2)), introduced(assumption)).
% 54.59/34.82 tff(25838,plain,
% 54.59/34.82 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB149) | (~v130(constB149, 2)) | v127(constB149, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB149) | (~v130(constB149, 2)) | v127(constB149, 2))),
% 54.59/34.82 inference(rewrite,[status(thm)],[])).
% 54.59/34.82 tff(25839,plain,
% 54.59/34.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB149) | (~v130(constB149, 2)) | v127(constB149, 2))),
% 54.59/34.82 inference(quant_inst,[status(thm)],[])).
% 54.59/34.82 tff(25840,plain,
% 54.59/34.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB149) | (~v130(constB149, 2)) | v127(constB149, 2)),
% 54.59/34.82 inference(modus_ponens,[status(thm)],[25839, 25838])).
% 54.59/34.82 tff(25841,plain,
% 54.59/34.82 (v26(constB149) | (~v130(constB149, 2))),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25840, 1981, 25837])).
% 54.59/34.82 tff(25842,plain,
% 54.59/34.82 (~v130(constB149, 2)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25841, 25836])).
% 54.59/34.82 tff(25843,plain,
% 54.59/34.82 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB149)) | v130(constB149, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB149)) | v130(constB149, 2))),
% 54.59/34.82 inference(rewrite,[status(thm)],[])).
% 54.59/34.82 tff(25844,plain,
% 54.59/34.82 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB149)) | v130(constB149, 2))),
% 54.59/34.82 inference(quant_inst,[status(thm)],[])).
% 54.59/34.82 tff(25845,plain,
% 54.59/34.82 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB149)) | v130(constB149, 2)),
% 54.59/34.82 inference(modus_ponens,[status(thm)],[25844, 25843])).
% 54.59/34.82 tff(25846,plain,
% 54.59/34.82 (~v124(constB149)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25845, 2741, 25842])).
% 54.59/34.82 tff(25847,assumption,(~v127(constB149, 0)), introduced(assumption)).
% 54.59/34.82 tff(25848,plain,
% 54.59/34.82 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB149) | (~v130(constB149, 0)) | v127(constB149, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB149) | (~v130(constB149, 0)) | v127(constB149, 0))),
% 54.59/34.82 inference(rewrite,[status(thm)],[])).
% 54.59/34.82 tff(25849,plain,
% 54.59/34.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB149) | (~v130(constB149, 0)) | v127(constB149, 0))),
% 54.59/34.82 inference(quant_inst,[status(thm)],[])).
% 54.59/34.82 tff(25850,plain,
% 54.59/34.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB149) | (~v130(constB149, 0)) | v127(constB149, 0)),
% 54.59/34.82 inference(modus_ponens,[status(thm)],[25849, 25848])).
% 54.59/34.82 tff(25851,plain,
% 54.59/34.82 (v26(constB149) | (~v130(constB149, 0))),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25850, 1347, 25847])).
% 54.59/34.82 tff(25852,plain,
% 54.59/34.82 (~v130(constB149, 0)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25851, 25836])).
% 54.59/34.82 tff(25853,plain,
% 54.59/34.82 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB149)) | v130(constB149, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB149)) | v130(constB149, 0))),
% 54.59/34.82 inference(rewrite,[status(thm)],[])).
% 54.59/34.82 tff(25854,plain,
% 54.59/34.82 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB149)) | v130(constB149, 0))),
% 54.59/34.82 inference(quant_inst,[status(thm)],[])).
% 54.59/34.82 tff(25855,plain,
% 54.59/34.82 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB149)) | v130(constB149, 0)),
% 54.59/34.82 inference(modus_ponens,[status(thm)],[25854, 25853])).
% 54.59/34.82 tff(25856,plain,
% 54.59/34.82 (~v123(constB149)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25855, 2622, 25852])).
% 54.59/34.82 tff(25857,plain,
% 54.59/34.82 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB149)) | v130(constB149, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB149)) | v130(constB149, 2))),
% 54.59/34.82 inference(rewrite,[status(thm)],[])).
% 54.59/34.82 tff(25858,plain,
% 54.59/34.82 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB149)) | v130(constB149, 2))),
% 54.59/34.82 inference(quant_inst,[status(thm)],[])).
% 54.59/34.82 tff(25859,plain,
% 54.59/34.82 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB149)) | v130(constB149, 2)),
% 54.59/34.82 inference(modus_ponens,[status(thm)],[25858, 25857])).
% 54.59/34.82 tff(25860,plain,
% 54.59/34.82 (~v122(constB149)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25859, 1967, 25842])).
% 54.59/34.82 tff(25861,plain,
% 54.59/34.82 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB149)) | v130(constB149, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB149)) | v130(constB149, 0))),
% 54.59/34.82 inference(rewrite,[status(thm)],[])).
% 54.59/34.82 tff(25862,plain,
% 54.59/34.82 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB149)) | v130(constB149, 0))),
% 54.59/34.82 inference(quant_inst,[status(thm)],[])).
% 54.59/34.82 tff(25863,plain,
% 54.59/34.82 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB149)) | v130(constB149, 0)),
% 54.59/34.82 inference(modus_ponens,[status(thm)],[25862, 25861])).
% 54.59/34.82 tff(25864,plain,
% 54.59/34.82 (~v121(constB149)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25863, 1915, 25852])).
% 54.59/34.82 tff(25865,plain,
% 54.59/34.82 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB149)) | v130(constB149, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB149)) | v130(constB149, 0))),
% 54.59/34.82 inference(rewrite,[status(thm)],[])).
% 54.59/34.82 tff(25866,plain,
% 54.59/34.82 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB149)) | v130(constB149, 0))),
% 54.59/34.82 inference(quant_inst,[status(thm)],[])).
% 54.59/34.82 tff(25867,plain,
% 54.59/34.82 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB149)) | v130(constB149, 0)),
% 54.59/34.82 inference(modus_ponens,[status(thm)],[25866, 25865])).
% 54.59/34.82 tff(25868,plain,
% 54.59/34.82 (~v119(constB149)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25867, 1333, 25852])).
% 54.59/34.82 tff(25869,assumption,(~v121(constB150)), introduced(assumption)).
% 54.59/34.82 tff(25870,assumption,(~v108(constB149)), introduced(assumption)).
% 54.59/34.82 tff(25871,plain,
% 54.59/34.82 (~v112(constB149)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25777, 1075, 25870])).
% 54.59/34.82 tff(25872,plain,
% 54.59/34.82 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB149) | (~v26(constB149)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB149) | (~v26(constB149)))),
% 54.59/34.82 inference(rewrite,[status(thm)],[])).
% 54.59/34.82 tff(25873,plain,
% 54.59/34.82 (((~v26(constB149)) | v108(constB149)) <=> (v108(constB149) | (~v26(constB149)))),
% 54.59/34.82 inference(rewrite,[status(thm)],[])).
% 54.59/34.82 tff(25874,plain,
% 54.59/34.82 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB149)) | v108(constB149))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB149) | (~v26(constB149))))),
% 54.59/34.82 inference(monotonicity,[status(thm)],[25873])).
% 54.59/34.82 tff(25875,plain,
% 54.59/34.82 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB149)) | v108(constB149))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB149) | (~v26(constB149)))),
% 54.59/34.82 inference(transitivity,[status(thm)],[25874, 25872])).
% 54.59/34.82 tff(25876,plain,
% 54.59/34.82 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB149)) | v108(constB149))),
% 54.59/34.82 inference(quant_inst,[status(thm)],[])).
% 54.59/34.82 tff(25877,plain,
% 54.59/34.82 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB149) | (~v26(constB149))),
% 54.59/34.82 inference(modus_ponens,[status(thm)],[25876, 25875])).
% 54.59/34.82 tff(25878,plain,
% 54.59/34.82 (~v26(constB149)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25877, 2050, 25870])).
% 54.59/34.82 tff(25879,plain,
% 54.59/34.82 (~v113(constB149)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25784, 1063, 25878, 25871])).
% 54.59/34.82 tff(25880,plain,
% 54.59/34.82 (~v114(constB149)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25792, 1049, 25879])).
% 54.59/34.82 tff(25881,plain,
% 54.59/34.82 (~v115(constB149)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25799, 1035, 25880])).
% 54.59/34.82 tff(25882,plain,
% 54.59/34.82 (~v116(constB149)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25806, 1021, 25881])).
% 54.59/34.82 tff(25883,plain,
% 54.59/34.82 (~v117(constB149)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25739, 1007, 25882])).
% 54.59/34.82 tff(25884,plain,
% 54.59/34.82 (~v118(constB149)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25732, 993, 25883])).
% 54.59/34.82 tff(25885,plain,
% 54.59/34.82 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB149) | (~v124(constB149)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB149) | (~v124(constB149)))),
% 54.59/34.82 inference(rewrite,[status(thm)],[])).
% 54.59/34.82 tff(25886,plain,
% 54.59/34.82 (((~v124(constB149)) | v114(constB149)) <=> (v114(constB149) | (~v124(constB149)))),
% 54.59/34.82 inference(rewrite,[status(thm)],[])).
% 54.59/34.82 tff(25887,plain,
% 54.59/34.82 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB149)) | v114(constB149))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB149) | (~v124(constB149))))),
% 54.59/34.82 inference(monotonicity,[status(thm)],[25886])).
% 54.59/34.82 tff(25888,plain,
% 54.59/34.82 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB149)) | v114(constB149))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB149) | (~v124(constB149)))),
% 54.59/34.82 inference(transitivity,[status(thm)],[25887, 25885])).
% 54.59/34.82 tff(25889,plain,
% 54.59/34.82 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB149)) | v114(constB149))),
% 54.59/34.82 inference(quant_inst,[status(thm)],[])).
% 54.59/34.82 tff(25890,plain,
% 54.59/34.82 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB149) | (~v124(constB149))),
% 54.59/34.82 inference(modus_ponens,[status(thm)],[25889, 25888])).
% 54.59/34.82 tff(25891,plain,
% 54.59/34.82 (~v124(constB149)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25890, 2674, 25880])).
% 54.59/34.82 tff(25892,plain,
% 54.59/34.82 (~v130(constB149, 0)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25851, 25878])).
% 54.59/34.82 tff(25893,plain,
% 54.59/34.82 (~v123(constB149)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25855, 2622, 25892])).
% 54.59/34.82 tff(25894,plain,
% 54.59/34.82 (~v119(constB149)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25867, 1333, 25892])).
% 54.59/34.82 tff(25895,plain,
% 54.59/34.82 (~v121(constB149)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25863, 1915, 25892])).
% 54.59/34.82 tff(25896,plain,
% 54.59/34.82 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB149) | (~v122(constB149)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB149) | (~v122(constB149)))),
% 54.59/34.82 inference(rewrite,[status(thm)],[])).
% 54.59/34.82 tff(25897,plain,
% 54.59/34.82 (((~v122(constB149)) | v116(constB149)) <=> (v116(constB149) | (~v122(constB149)))),
% 54.59/34.82 inference(rewrite,[status(thm)],[])).
% 54.59/34.82 tff(25898,plain,
% 54.59/34.82 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB149)) | v116(constB149))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB149) | (~v122(constB149))))),
% 54.59/34.82 inference(monotonicity,[status(thm)],[25897])).
% 54.59/34.82 tff(25899,plain,
% 54.59/34.82 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB149)) | v116(constB149))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB149) | (~v122(constB149)))),
% 54.59/34.82 inference(transitivity,[status(thm)],[25898, 25896])).
% 54.59/34.82 tff(25900,plain,
% 54.59/34.82 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB149)) | v116(constB149))),
% 54.59/34.82 inference(quant_inst,[status(thm)],[])).
% 54.59/34.82 tff(25901,plain,
% 54.59/34.82 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB149) | (~v122(constB149))),
% 54.59/34.82 inference(modus_ponens,[status(thm)],[25900, 25899])).
% 54.59/34.82 tff(25902,plain,
% 54.59/34.82 (~v122(constB149)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25901, 2120, 25882])).
% 54.59/34.82 tff(25903,plain,
% 54.59/34.82 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB149) | v120(constB149) | v121(constB149) | v122(constB149) | v123(constB149) | v124(constB149) | v130(constB149, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB149) | v120(constB149) | v121(constB149) | v122(constB149) | v123(constB149) | v124(constB149) | v130(constB149, 0))),
% 54.59/34.82 inference(rewrite,[status(thm)],[])).
% 54.59/34.82 tff(25904,plain,
% 54.59/34.82 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB149) | v120(constB149) | v121(constB149) | v122(constB149) | v123(constB149) | v124(constB149) | v130(constB149, 0))),
% 54.59/34.82 inference(quant_inst,[status(thm)],[])).
% 54.59/34.82 tff(25905,plain,
% 54.59/34.82 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB149) | v120(constB149) | v121(constB149) | v122(constB149) | v123(constB149) | v124(constB149) | v130(constB149, 0)),
% 54.59/34.82 inference(modus_ponens,[status(thm)],[25904, 25903])).
% 54.59/34.82 tff(25906,plain,
% 54.59/34.82 (v119(constB149) | v120(constB149) | v121(constB149) | v122(constB149) | v123(constB149) | v124(constB149)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25905, 3413, 25892])).
% 54.59/34.82 tff(25907,plain,
% 54.59/34.82 (v120(constB149)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25906, 25902, 25895, 25894, 25893, 25891])).
% 54.59/34.82 tff(25908,plain,
% 54.59/34.82 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB149) | (~v120(constB149)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB149) | (~v120(constB149)))),
% 54.59/34.82 inference(rewrite,[status(thm)],[])).
% 54.59/34.82 tff(25909,plain,
% 54.59/34.82 (((~v120(constB149)) | v118(constB149)) <=> (v118(constB149) | (~v120(constB149)))),
% 54.59/34.82 inference(rewrite,[status(thm)],[])).
% 54.59/34.82 tff(25910,plain,
% 54.59/34.82 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB149)) | v118(constB149))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB149) | (~v120(constB149))))),
% 54.59/34.82 inference(monotonicity,[status(thm)],[25909])).
% 54.59/34.82 tff(25911,plain,
% 54.59/34.82 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB149)) | v118(constB149))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB149) | (~v120(constB149)))),
% 54.59/34.82 inference(transitivity,[status(thm)],[25910, 25908])).
% 54.59/34.82 tff(25912,plain,
% 54.59/34.82 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB149)) | v118(constB149))),
% 54.59/34.82 inference(quant_inst,[status(thm)],[])).
% 54.59/34.82 tff(25913,plain,
% 54.59/34.82 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB149) | (~v120(constB149))),
% 54.59/34.82 inference(modus_ponens,[status(thm)],[25912, 25911])).
% 54.59/34.82 tff(25914,plain,
% 54.59/34.82 ($false),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25913, 1425, 25907, 25884])).
% 54.59/34.82 tff(25915,plain,(v108(constB149) | v127(constB149, 0)), inference(lemma,lemma(discharge,[]))).
% 54.59/34.82 tff(25916,plain,
% 54.59/34.82 (v108(constB149)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25915, 25847])).
% 54.59/34.82 tff(25917,plain,
% 54.59/34.82 (v110(constB150)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25770, 25916])).
% 54.59/34.82 tff(25918,plain,
% 54.59/34.82 (v100(constB150)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25762, 25917])).
% 54.59/34.82 tff(25919,plain,
% 54.59/34.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB149, constB150)) | v127(constB149, 0) | (~v129(constB150, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB149, constB150)) | v127(constB149, 0) | (~v129(constB150, 0)))),
% 54.59/34.82 inference(rewrite,[status(thm)],[])).
% 54.59/34.82 tff(25920,plain,
% 54.59/34.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB149, constB150)) | v127(constB149, 0) | (~v129(constB150, 0)))),
% 54.59/34.82 inference(quant_inst,[status(thm)],[])).
% 54.59/34.82 tff(25921,plain,
% 54.59/34.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB149, constB150)) | v127(constB149, 0) | (~v129(constB150, 0))),
% 54.59/34.82 inference(modus_ponens,[status(thm)],[25920, 25919])).
% 54.59/34.82 tff(25922,plain,
% 54.59/34.82 (v127(constB149, 0) | (~v129(constB150, 0))),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25921, 1689, 25076])).
% 54.59/34.82 tff(25923,plain,
% 54.59/34.82 (~v129(constB150, 0)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25922, 25847])).
% 54.59/34.82 tff(25924,plain,
% 54.59/34.82 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB150, 0)) | v129(constB150, 0) | (~v100(constB150)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB150, 0)) | v129(constB150, 0) | (~v100(constB150)))),
% 54.59/34.82 inference(rewrite,[status(thm)],[])).
% 54.59/34.82 tff(25925,plain,
% 54.59/34.82 (((~v90(constB150, 0)) | (~v100(constB150)) | v129(constB150, 0)) <=> ((~v90(constB150, 0)) | v129(constB150, 0) | (~v100(constB150)))),
% 54.59/34.82 inference(rewrite,[status(thm)],[])).
% 54.59/34.82 tff(25926,plain,
% 54.59/34.82 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB150, 0)) | (~v100(constB150)) | v129(constB150, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB150, 0)) | v129(constB150, 0) | (~v100(constB150))))),
% 54.59/34.82 inference(monotonicity,[status(thm)],[25925])).
% 54.59/34.82 tff(25927,plain,
% 54.59/34.82 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB150, 0)) | (~v100(constB150)) | v129(constB150, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB150, 0)) | v129(constB150, 0) | (~v100(constB150)))),
% 54.59/34.82 inference(transitivity,[status(thm)],[25926, 25924])).
% 54.59/34.82 tff(25928,plain,
% 54.59/34.82 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB150, 0)) | (~v100(constB150)) | v129(constB150, 0))),
% 54.59/34.82 inference(quant_inst,[status(thm)],[])).
% 54.59/34.82 tff(25929,plain,
% 54.59/34.82 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB150, 0)) | v129(constB150, 0) | (~v100(constB150))),
% 54.59/34.82 inference(modus_ponens,[status(thm)],[25928, 25927])).
% 54.59/34.82 tff(25930,plain,
% 54.59/34.82 (~v90(constB150, 0)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25929, 1704, 25918, 25923])).
% 54.59/34.82 tff(25931,assumption,(v120(constB149)), introduced(assumption)).
% 54.59/34.82 tff(25932,plain,
% 54.59/34.82 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB149)) | v130(constB149, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB149)) | v130(constB149, 1))),
% 54.59/34.82 inference(rewrite,[status(thm)],[])).
% 54.59/34.82 tff(25933,plain,
% 54.59/34.82 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB149)) | v130(constB149, 1))),
% 54.59/34.82 inference(quant_inst,[status(thm)],[])).
% 54.59/34.82 tff(25934,plain,
% 54.59/34.82 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB149)) | v130(constB149, 1)),
% 54.59/34.82 inference(modus_ponens,[status(thm)],[25933, 25932])).
% 54.59/34.82 tff(25935,plain,
% 54.59/34.82 (v130(constB149, 1)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25934, 1579, 25931])).
% 54.59/34.82 tff(25936,plain,
% 54.59/34.82 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB149) | (~v130(constB149, 1)) | v127(constB149, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB149) | (~v130(constB149, 1)) | v127(constB149, 1))),
% 54.59/34.82 inference(rewrite,[status(thm)],[])).
% 54.59/34.82 tff(25937,plain,
% 54.59/34.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB149) | (~v130(constB149, 1)) | v127(constB149, 1))),
% 54.59/34.82 inference(quant_inst,[status(thm)],[])).
% 54.59/34.82 tff(25938,plain,
% 54.59/34.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB149) | (~v130(constB149, 1)) | v127(constB149, 1)),
% 54.59/34.82 inference(modus_ponens,[status(thm)],[25937, 25936])).
% 54.59/34.82 tff(25939,plain,
% 54.59/34.82 ((~v130(constB149, 1)) | v127(constB149, 1)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25938, 1593, 25836])).
% 54.59/34.82 tff(25940,plain,
% 54.59/34.82 (v127(constB149, 1)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25939, 25935])).
% 54.59/34.82 tff(25941,plain,
% 54.59/34.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB149, constB150)) | (~v127(constB149, 1)) | v129(constB150, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB149, constB150)) | (~v127(constB149, 1)) | v129(constB150, 1))),
% 54.59/34.82 inference(rewrite,[status(thm)],[])).
% 54.59/34.82 tff(25942,plain,
% 54.59/34.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB149, constB150)) | (~v127(constB149, 1)) | v129(constB150, 1))),
% 54.59/34.82 inference(quant_inst,[status(thm)],[])).
% 54.59/34.82 tff(25943,plain,
% 54.59/34.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB149, constB150)) | (~v127(constB149, 1)) | v129(constB150, 1)),
% 54.59/34.82 inference(modus_ponens,[status(thm)],[25942, 25941])).
% 54.59/34.82 tff(25944,plain,
% 54.59/34.82 ((~v127(constB149, 1)) | v129(constB150, 1)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25943, 1608, 25076])).
% 54.59/34.82 tff(25945,plain,
% 54.59/34.82 (v129(constB150, 1)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25944, 25940])).
% 54.59/34.82 tff(25946,assumption,(v100(constB150)), introduced(assumption)).
% 54.59/34.82 tff(25947,plain,
% 54.59/34.82 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB150, 1) | (~v129(constB150, 1)) | (~v100(constB150)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB150, 1) | (~v129(constB150, 1)) | (~v100(constB150)))),
% 54.59/34.82 inference(rewrite,[status(thm)],[])).
% 54.59/34.82 tff(25948,plain,
% 54.59/34.82 ((v90(constB150, 1) | (~v100(constB150)) | (~v129(constB150, 1))) <=> (v90(constB150, 1) | (~v129(constB150, 1)) | (~v100(constB150)))),
% 54.59/34.82 inference(rewrite,[status(thm)],[])).
% 54.59/34.82 tff(25949,plain,
% 54.59/34.82 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB150, 1) | (~v100(constB150)) | (~v129(constB150, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB150, 1) | (~v129(constB150, 1)) | (~v100(constB150))))),
% 54.59/34.82 inference(monotonicity,[status(thm)],[25948])).
% 54.59/34.82 tff(25950,plain,
% 54.59/34.82 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB150, 1) | (~v100(constB150)) | (~v129(constB150, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB150, 1) | (~v129(constB150, 1)) | (~v100(constB150)))),
% 54.59/34.82 inference(transitivity,[status(thm)],[25949, 25947])).
% 54.59/34.82 tff(25951,plain,
% 54.59/34.82 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB150, 1) | (~v100(constB150)) | (~v129(constB150, 1)))),
% 54.59/34.82 inference(quant_inst,[status(thm)],[])).
% 54.59/34.82 tff(25952,plain,
% 54.59/34.82 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB150, 1) | (~v129(constB150, 1)) | (~v100(constB150))),
% 54.59/34.82 inference(modus_ponens,[status(thm)],[25951, 25950])).
% 54.59/34.82 tff(25953,plain,
% 54.59/34.82 (v90(constB150, 1) | (~v129(constB150, 1))),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25952, 1623, 25946])).
% 54.59/34.82 tff(25954,plain,
% 54.59/34.82 (v90(constB150, 1)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25953, 25945])).
% 54.59/34.82 tff(25955,plain,
% 54.59/34.82 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB149)) | (~v130(constB149, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB149)) | (~v130(constB149, 2)))),
% 54.59/34.82 inference(rewrite,[status(thm)],[])).
% 54.59/34.82 tff(25956,plain,
% 54.59/34.82 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB149)) | (~v130(constB149, 2)))),
% 54.59/34.82 inference(quant_inst,[status(thm)],[])).
% 54.59/34.82 tff(25957,plain,
% 54.59/34.82 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB149)) | (~v130(constB149, 2))),
% 54.59/34.82 inference(modus_ponens,[status(thm)],[25956, 25955])).
% 54.59/34.82 tff(25958,plain,
% 54.59/34.82 (~v130(constB149, 2)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25957, 1523, 25931])).
% 54.59/34.82 tff(25959,plain,
% 54.59/34.82 ((~v127(constB149, 2)) | v130(constB149, 2)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25673, 1190, 25836])).
% 54.59/34.82 tff(25960,plain,
% 54.59/34.82 (~v127(constB149, 2)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25959, 25958])).
% 54.59/34.82 tff(25961,plain,
% 54.59/34.82 (~v129(constB150, 2)),
% 54.59/34.82 inference(unit_resolution,[status(thm)],[25679, 25960])).
% 54.59/34.82 tff(25962,plain,
% 54.59/34.82 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB150, 2)) | v129(constB150, 2) | (~v100(constB150)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB150, 2)) | v129(constB150, 2) | (~v100(constB150)))),
% 54.59/34.83 inference(rewrite,[status(thm)],[])).
% 54.59/34.83 tff(25963,plain,
% 54.59/34.83 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB150, 2)) | v129(constB150, 2) | (~v100(constB150)))),
% 54.59/34.83 inference(quant_inst,[status(thm)],[])).
% 54.59/34.83 tff(25964,plain,
% 54.59/34.83 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB150, 2)) | v129(constB150, 2) | (~v100(constB150))),
% 54.59/34.83 inference(modus_ponens,[status(thm)],[25963, 25962])).
% 54.59/34.83 tff(25965,plain,
% 54.59/34.83 ((~v90(constB150, 2)) | v129(constB150, 2)),
% 54.59/34.83 inference(unit_resolution,[status(thm)],[25964, 1223, 25946])).
% 54.59/34.83 tff(25966,plain,
% 54.59/34.83 (~v90(constB150, 2)),
% 54.59/34.83 inference(unit_resolution,[status(thm)],[25965, 25961])).
% 54.59/34.83 tff(25967,plain,
% 54.59/34.83 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB150, 0) | (~v90(constB150, 1)) | v90(constB150, 2) | v121(constB150))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB150, 0) | (~v90(constB150, 1)) | v90(constB150, 2) | v121(constB150))),
% 54.59/34.83 inference(rewrite,[status(thm)],[])).
% 54.59/34.83 tff(25968,plain,
% 54.59/34.83 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB150, 0) | (~v90(constB150, 1)) | v90(constB150, 2) | v121(constB150))),
% 54.59/34.83 inference(quant_inst,[status(thm)],[])).
% 54.59/34.83 tff(25969,plain,
% 54.59/34.83 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB150, 0) | (~v90(constB150, 1)) | v90(constB150, 2) | v121(constB150)),
% 54.59/34.83 inference(modus_ponens,[status(thm)],[25968, 25967])).
% 54.59/34.83 tff(25970,plain,
% 54.59/34.83 ((~v90(constB150, 1)) | v90(constB150, 2) | v121(constB150)),
% 54.59/34.83 inference(unit_resolution,[status(thm)],[25969, 1731, 25682])).
% 54.59/34.83 tff(25971,plain,
% 54.59/34.83 ($false),
% 54.59/34.83 inference(unit_resolution,[status(thm)],[25970, 25966, 25954, 25869])).
% 54.59/34.83 tff(25972,plain,((~v120(constB149)) | v121(constB150) | v90(constB150, 0) | (~v100(constB150)) | v26(constB149)), inference(lemma,lemma(discharge,[]))).
% 54.59/34.83 tff(25973,plain,
% 54.59/34.83 (~v120(constB149)),
% 54.59/34.83 inference(unit_resolution,[status(thm)],[25972, 25836, 25930, 25918, 25869])).
% 54.59/34.83 tff(25974,plain,
% 54.59/34.83 (v119(constB149) | v121(constB149) | v122(constB149) | v123(constB149) | v124(constB149)),
% 54.59/34.83 inference(unit_resolution,[status(thm)],[25905, 3413, 25852, 25973])).
% 54.59/34.83 tff(25975,plain,
% 54.59/34.83 ($false),
% 54.59/34.83 inference(unit_resolution,[status(thm)],[25974, 25868, 25864, 25860, 25856, 25846])).
% 54.59/34.83 tff(25976,plain,(v26(constB149) | v127(constB149, 2) | v121(constB150) | v127(constB149, 0)), inference(lemma,lemma(discharge,[]))).
% 54.59/34.83 tff(25977,plain,
% 54.59/34.83 (v127(constB149, 2) | v121(constB150) | v127(constB149, 0)),
% 54.59/34.83 inference(unit_resolution,[status(thm)],[25976, 25667])).
% 54.59/34.83 tff(25978,plain,
% 54.59/34.83 ($false),
% 54.59/34.83 inference(unit_resolution,[status(thm)],[25977, 25835, 25822, 25696])).
% 54.59/34.83 tff(25979,plain,(v90(constB150, 1) | v90(constB150, 2) | v90(constB150, 0)), inference(lemma,lemma(discharge,[]))).
% 54.59/34.83 tff(25980,plain,
% 54.59/34.83 (v90(constB150, 1)),
% 54.59/34.83 inference(unit_resolution,[status(thm)],[25979, 25683, 25682])).
% 54.59/34.83 tff(25981,plain,
% 54.59/34.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB149, 1) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB149, 1) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, 1)))),
% 54.59/34.83 inference(rewrite,[status(thm)],[])).
% 54.59/34.83 tff(25982,plain,
% 54.59/34.83 (((~nextState(constB149, constB150)) | v90(constB149, 1) | v100(constB150) | (~v90(constB150, 1))) <=> (v90(constB149, 1) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, 1)))),
% 54.59/34.83 inference(rewrite,[status(thm)],[])).
% 54.59/34.83 tff(25983,plain,
% 54.59/34.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB149, constB150)) | v90(constB149, 1) | v100(constB150) | (~v90(constB150, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB149, 1) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, 1))))),
% 54.59/34.83 inference(monotonicity,[status(thm)],[25982])).
% 54.59/34.83 tff(25984,plain,
% 54.59/34.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB149, constB150)) | v90(constB149, 1) | v100(constB150) | (~v90(constB150, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB149, 1) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, 1)))),
% 54.59/34.83 inference(transitivity,[status(thm)],[25983, 25981])).
% 54.59/34.83 tff(25985,plain,
% 54.59/34.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB149, constB150)) | v90(constB149, 1) | v100(constB150) | (~v90(constB150, 1)))),
% 54.59/34.83 inference(quant_inst,[status(thm)],[])).
% 54.59/34.83 tff(25986,plain,
% 54.59/34.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB149, 1) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, 1))),
% 54.59/34.83 inference(modus_ponens,[status(thm)],[25985, 25984])).
% 54.59/34.83 tff(25987,plain,
% 54.59/34.83 (v90(constB149, 1) | v100(constB150) | (~v90(constB150, 1))),
% 54.59/34.83 inference(unit_resolution,[status(thm)],[25986, 926, 25076])).
% 54.59/34.83 tff(25988,plain,
% 54.59/34.83 (v90(constB149, 1)),
% 54.59/34.83 inference(unit_resolution,[status(thm)],[25987, 25681, 25980])).
% 54.59/34.83 tff(25989,plain,
% 54.59/34.83 (v121(constB149)),
% 54.59/34.83 inference(unit_resolution,[status(thm)],[25658, 1731, 25712, 25988, 25691])).
% 54.59/34.83 tff(25990,plain,
% 54.59/34.83 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB149) | (~v121(constB149)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB149) | (~v121(constB149)))),
% 54.59/34.83 inference(rewrite,[status(thm)],[])).
% 54.59/34.83 tff(25991,plain,
% 54.59/34.83 (((~v121(constB149)) | v117(constB149)) <=> (v117(constB149) | (~v121(constB149)))),
% 54.59/34.83 inference(rewrite,[status(thm)],[])).
% 54.59/34.83 tff(25992,plain,
% 54.59/34.83 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB149)) | v117(constB149))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB149) | (~v121(constB149))))),
% 54.59/34.83 inference(monotonicity,[status(thm)],[25991])).
% 54.59/34.83 tff(25993,plain,
% 54.59/34.83 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB149)) | v117(constB149))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB149) | (~v121(constB149)))),
% 54.59/34.83 inference(transitivity,[status(thm)],[25992, 25990])).
% 54.59/34.83 tff(25994,plain,
% 54.59/34.83 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB149)) | v117(constB149))),
% 54.59/34.83 inference(quant_inst,[status(thm)],[])).
% 54.59/34.83 tff(25995,plain,
% 54.59/34.83 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB149) | (~v121(constB149))),
% 54.59/34.83 inference(modus_ponens,[status(thm)],[25994, 25993])).
% 54.59/34.83 tff(25996,plain,
% 54.59/34.83 (v117(constB149)),
% 54.59/34.83 inference(unit_resolution,[status(thm)],[25995, 1742, 25989])).
% 54.59/34.83 tff(25997,plain,
% 54.59/34.83 (v116(constB149)),
% 54.59/34.83 inference(unit_resolution,[status(thm)],[25739, 1007, 25996])).
% 54.59/34.83 tff(25998,plain,
% 54.59/34.83 ($false),
% 54.59/34.83 inference(unit_resolution,[status(thm)],[25806, 1021, 25800, 25997])).
% 54.59/34.83 tff(25999,plain,(v100(constB150) | v90(constB150, 2) | v90(constB150, 0)), inference(lemma,lemma(discharge,[]))).
% 54.59/34.83 tff(26000,plain,
% 54.59/34.83 (v90(constB150, 2)),
% 54.59/34.83 inference(unit_resolution,[status(thm)],[25999, 25682, 25681])).
% 54.59/34.83 tff(26001,plain,
% 54.59/34.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB149, 2) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB149, 2) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, 2)))),
% 54.59/34.83 inference(rewrite,[status(thm)],[])).
% 54.59/34.83 tff(26002,plain,
% 54.59/34.83 (((~nextState(constB149, constB150)) | v90(constB149, 2) | v100(constB150) | (~v90(constB150, 2))) <=> (v90(constB149, 2) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, 2)))),
% 54.59/34.83 inference(rewrite,[status(thm)],[])).
% 54.59/34.83 tff(26003,plain,
% 54.59/34.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB149, constB150)) | v90(constB149, 2) | v100(constB150) | (~v90(constB150, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB149, 2) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, 2))))),
% 54.59/34.83 inference(monotonicity,[status(thm)],[26002])).
% 54.59/34.83 tff(26004,plain,
% 54.59/34.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB149, constB150)) | v90(constB149, 2) | v100(constB150) | (~v90(constB150, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB149, 2) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, 2)))),
% 54.59/34.83 inference(transitivity,[status(thm)],[26003, 26001])).
% 54.59/34.83 tff(26005,plain,
% 54.59/34.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB149, constB150)) | v90(constB149, 2) | v100(constB150) | (~v90(constB150, 2)))),
% 54.59/34.83 inference(quant_inst,[status(thm)],[])).
% 54.59/34.83 tff(26006,plain,
% 54.59/34.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB149, 2) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, 2))),
% 54.59/34.83 inference(modus_ponens,[status(thm)],[26005, 26004])).
% 54.59/34.83 tff(26007,plain,
% 54.59/34.83 (v90(constB149, 2) | v100(constB150) | (~v90(constB150, 2))),
% 54.59/34.83 inference(unit_resolution,[status(thm)],[26006, 905, 25076])).
% 54.59/34.83 tff(26008,plain,
% 54.59/34.83 (v90(constB149, 2)),
% 54.59/34.83 inference(unit_resolution,[status(thm)],[26007, 26000, 25681])).
% 54.59/34.83 tff(26009,plain,
% 54.59/34.83 (~v90(constB149, 0)),
% 54.59/34.83 inference(unit_resolution,[status(thm)],[25711, 25682, 25681])).
% 54.59/34.83 tff(26010,plain,
% 54.59/34.83 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB149) | (~v125(constB149)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB149) | (~v125(constB149)))),
% 54.59/34.83 inference(rewrite,[status(thm)],[])).
% 54.59/34.83 tff(26011,plain,
% 54.59/34.83 (((~v125(constB149)) | v113(constB149)) <=> (v113(constB149) | (~v125(constB149)))),
% 54.59/34.83 inference(rewrite,[status(thm)],[])).
% 54.59/34.83 tff(26012,plain,
% 54.59/34.83 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB149)) | v113(constB149))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB149) | (~v125(constB149))))),
% 54.59/34.83 inference(monotonicity,[status(thm)],[26011])).
% 54.59/34.83 tff(26013,plain,
% 54.59/34.83 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB149)) | v113(constB149))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB149) | (~v125(constB149)))),
% 54.59/34.83 inference(transitivity,[status(thm)],[26012, 26010])).
% 54.59/34.83 tff(26014,plain,
% 54.59/34.83 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB149)) | v113(constB149))),
% 54.59/34.83 inference(quant_inst,[status(thm)],[])).
% 54.59/34.83 tff(26015,plain,
% 54.59/34.83 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB149) | (~v125(constB149))),
% 54.59/34.83 inference(modus_ponens,[status(thm)],[26014, 26013])).
% 54.59/34.83 tff(26016,plain,
% 54.59/34.83 (~v125(constB149)),
% 54.59/34.83 inference(unit_resolution,[status(thm)],[26015, 2262, 25786])).
% 54.59/34.83 tff(26017,plain,
% 54.59/34.83 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB149, 0) | (~v90(constB149, 1)) | (~v90(constB149, 2)) | v125(constB149))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB149, 0) | (~v90(constB149, 1)) | (~v90(constB149, 2)) | v125(constB149))),
% 54.59/34.83 inference(rewrite,[status(thm)],[])).
% 54.59/34.83 tff(26018,plain,
% 54.59/34.83 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB149, 0) | (~v90(constB149, 1)) | (~v90(constB149, 2)) | v125(constB149))),
% 54.59/34.83 inference(quant_inst,[status(thm)],[])).
% 54.59/34.83 tff(26019,plain,
% 54.59/34.83 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB149, 0) | (~v90(constB149, 1)) | (~v90(constB149, 2)) | v125(constB149)),
% 54.59/34.83 inference(modus_ponens,[status(thm)],[26018, 26017])).
% 54.59/34.83 tff(26020,plain,
% 54.59/34.83 (v90(constB149, 0) | (~v90(constB149, 1)) | (~v90(constB149, 2))),
% 54.59/34.83 inference(unit_resolution,[status(thm)],[26019, 2279, 26016])).
% 54.59/34.83 tff(26021,plain,
% 54.59/34.83 (~v90(constB149, 1)),
% 54.59/34.83 inference(unit_resolution,[status(thm)],[26020, 26009, 26008])).
% 54.59/34.83 tff(26022,plain,
% 54.59/34.83 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB149) | (~v123(constB149)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB149) | (~v123(constB149)))),
% 54.59/34.83 inference(rewrite,[status(thm)],[])).
% 54.59/34.83 tff(26023,plain,
% 54.59/34.83 (((~v123(constB149)) | v115(constB149)) <=> (v115(constB149) | (~v123(constB149)))),
% 54.59/34.83 inference(rewrite,[status(thm)],[])).
% 54.59/34.83 tff(26024,plain,
% 54.59/34.83 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB149)) | v115(constB149))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB149) | (~v123(constB149))))),
% 54.59/34.83 inference(monotonicity,[status(thm)],[26023])).
% 54.59/34.83 tff(26025,plain,
% 54.59/34.83 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB149)) | v115(constB149))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB149) | (~v123(constB149)))),
% 54.59/34.83 inference(transitivity,[status(thm)],[26024, 26022])).
% 54.59/34.83 tff(26026,plain,
% 54.59/34.83 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB149)) | v115(constB149))),
% 54.59/34.83 inference(quant_inst,[status(thm)],[])).
% 54.59/34.83 tff(26027,plain,
% 54.59/34.83 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB149) | (~v123(constB149))),
% 54.59/34.83 inference(modus_ponens,[status(thm)],[26026, 26025])).
% 54.59/34.83 tff(26028,plain,
% 54.59/34.83 (~v123(constB149)),
% 54.59/34.83 inference(unit_resolution,[status(thm)],[26027, 2291, 25800])).
% 54.59/34.83 tff(26029,plain,
% 54.59/34.83 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB149, 0) | v90(constB149, 1) | (~v90(constB149, 2)) | v123(constB149))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB149, 0) | v90(constB149, 1) | (~v90(constB149, 2)) | v123(constB149))),
% 54.59/34.83 inference(rewrite,[status(thm)],[])).
% 54.59/34.83 tff(26030,plain,
% 54.59/34.83 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB149, 0) | v90(constB149, 1) | (~v90(constB149, 2)) | v123(constB149))),
% 54.59/34.83 inference(quant_inst,[status(thm)],[])).
% 54.59/34.83 tff(26031,plain,
% 54.59/34.83 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB149, 0) | v90(constB149, 1) | (~v90(constB149, 2)) | v123(constB149)),
% 54.59/34.83 inference(modus_ponens,[status(thm)],[26030, 26029])).
% 54.59/34.83 tff(26032,plain,
% 54.59/34.83 (v90(constB149, 0) | v90(constB149, 1) | (~v90(constB149, 2))),
% 54.59/34.83 inference(unit_resolution,[status(thm)],[26031, 2308, 26028])).
% 54.59/34.83 tff(26033,plain,
% 54.59/34.83 ($false),
% 54.59/34.83 inference(unit_resolution,[status(thm)],[26032, 26021, 26009, 26008])).
% 54.59/34.83 tff(26034,plain,(v90(constB150, 0) | v100(constB150)), inference(lemma,lemma(discharge,[]))).
% 54.59/34.83 tff(26035,plain,
% 54.59/34.83 (v90(constB150, 0)),
% 54.59/34.83 inference(unit_resolution,[status(thm)],[26034, 25681])).
% 54.59/34.83 tff(26036,plain,
% 54.59/34.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB149, 0) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB149, 0) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, 0)))),
% 54.59/34.83 inference(rewrite,[status(thm)],[])).
% 54.59/34.83 tff(26037,plain,
% 54.59/34.83 (((~nextState(constB149, constB150)) | v90(constB149, 0) | v100(constB150) | (~v90(constB150, 0))) <=> (v90(constB149, 0) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, 0)))),
% 54.59/34.83 inference(rewrite,[status(thm)],[])).
% 54.59/34.83 tff(26038,plain,
% 54.59/34.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB149, constB150)) | v90(constB149, 0) | v100(constB150) | (~v90(constB150, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB149, 0) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, 0))))),
% 54.59/34.83 inference(monotonicity,[status(thm)],[26037])).
% 54.59/34.83 tff(26039,plain,
% 54.59/34.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB149, constB150)) | v90(constB149, 0) | v100(constB150) | (~v90(constB150, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB149, 0) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, 0)))),
% 54.59/34.83 inference(transitivity,[status(thm)],[26038, 26036])).
% 54.59/34.83 tff(26040,plain,
% 54.59/34.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB149, constB150)) | v90(constB149, 0) | v100(constB150) | (~v90(constB150, 0)))),
% 54.59/34.83 inference(quant_inst,[status(thm)],[])).
% 54.59/34.83 tff(26041,plain,
% 54.59/34.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB149, 0) | (~nextState(constB149, constB150)) | v100(constB150) | (~v90(constB150, 0))),
% 54.59/34.83 inference(modus_ponens,[status(thm)],[26040, 26039])).
% 54.59/34.83 tff(26042,plain,
% 54.59/34.83 (v90(constB149, 0) | v100(constB150) | (~v90(constB150, 0))),
% 54.59/34.83 inference(unit_resolution,[status(thm)],[26041, 947, 25076])).
% 54.59/34.83 tff(26043,plain,
% 54.59/34.83 (v90(constB149, 0)),
% 54.59/34.83 inference(unit_resolution,[status(thm)],[26042, 26035, 25681])).
% 54.59/34.83 tff(26044,plain,
% 54.59/34.83 (v127(constB149, 0)),
% 54.59/34.83 inference(unit_resolution,[status(thm)],[25915, 25771])).
% 54.59/34.83 tff(26045,plain,
% 54.59/34.83 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB149, 0)) | v26(constB149) | v130(constB149, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB149, 0)) | v26(constB149) | v130(constB149, 0))),
% 54.59/34.83 inference(rewrite,[status(thm)],[])).
% 54.59/34.83 tff(26046,plain,
% 54.59/34.83 ((v26(constB149) | v130(constB149, 0) | (~v127(constB149, 0))) <=> ((~v127(constB149, 0)) | v26(constB149) | v130(constB149, 0))),
% 54.59/34.83 inference(rewrite,[status(thm)],[])).
% 54.59/34.83 tff(26047,plain,
% 54.59/34.83 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB149) | v130(constB149, 0) | (~v127(constB149, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB149, 0)) | v26(constB149) | v130(constB149, 0)))),
% 54.59/34.83 inference(monotonicity,[status(thm)],[26046])).
% 54.59/34.83 tff(26048,plain,
% 54.59/34.83 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB149) | v130(constB149, 0) | (~v127(constB149, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB149, 0)) | v26(constB149) | v130(constB149, 0))),
% 54.59/34.83 inference(transitivity,[status(thm)],[26047, 26045])).
% 54.59/34.83 tff(26049,plain,
% 54.59/34.83 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB149) | v130(constB149, 0) | (~v127(constB149, 0)))),
% 54.59/34.83 inference(quant_inst,[status(thm)],[])).
% 54.59/34.83 tff(26050,plain,
% 54.59/34.83 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB149, 0)) | v26(constB149) | v130(constB149, 0)),
% 54.59/34.83 inference(modus_ponens,[status(thm)],[26049, 26048])).
% 54.59/34.83 tff(26051,plain,
% 54.59/34.83 ((~v127(constB149, 0)) | v130(constB149, 0)),
% 54.59/34.83 inference(unit_resolution,[status(thm)],[26050, 1671, 25667])).
% 54.59/34.83 tff(26052,plain,
% 54.59/34.83 (v130(constB149, 0)),
% 54.59/34.83 inference(unit_resolution,[status(thm)],[26051, 26044])).
% 54.59/34.83 tff(26053,plain,
% 54.59/34.83 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB149)) | (~v130(constB149, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB149)) | (~v130(constB149, 0)))),
% 54.59/34.83 inference(rewrite,[status(thm)],[])).
% 54.59/34.83 tff(26054,plain,
% 54.59/34.83 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB149)) | (~v130(constB149, 0)))),
% 54.59/34.83 inference(quant_inst,[status(thm)],[])).
% 54.59/34.83 tff(26055,plain,
% 54.59/34.83 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB149)) | (~v130(constB149, 0))),
% 54.59/34.83 inference(modus_ponens,[status(thm)],[26054, 26053])).
% 54.59/34.83 tff(26056,plain,
% 54.59/34.83 (~v122(constB149)),
% 54.59/34.83 inference(unit_resolution,[status(thm)],[26055, 2407, 26052])).
% 54.59/34.83 tff(26057,plain,
% 54.59/34.83 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB149)) | (~v130(constB149, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB149)) | (~v130(constB149, 0)))),
% 54.59/34.83 inference(rewrite,[status(thm)],[])).
% 54.59/34.83 tff(26058,plain,
% 54.59/34.83 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB149)) | (~v130(constB149, 0)))),
% 54.59/34.83 inference(quant_inst,[status(thm)],[])).
% 54.59/34.83 tff(26059,plain,
% 54.59/34.83 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB149)) | (~v130(constB149, 0))),
% 54.59/34.83 inference(modus_ponens,[status(thm)],[26058, 26057])).
% 54.59/34.83 tff(26060,plain,
% 54.59/34.83 (~v120(constB149)),
% 54.59/34.83 inference(unit_resolution,[status(thm)],[26059, 1657, 26052])).
% 54.59/34.83 tff(26061,assumption,(v90(constB149, 0)), introduced(assumption)).
% 54.59/34.83 tff(26062,assumption,(~v90(constB149, 2)), introduced(assumption)).
% 54.59/34.83 tff(26063,assumption,(~v122(constB149)), introduced(assumption)).
% 54.59/34.83 tff(26064,plain,
% 54.59/34.83 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB149, 0)) | (~v90(constB149, 1)) | v90(constB149, 2) | v122(constB149))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB149, 0)) | (~v90(constB149, 1)) | v90(constB149, 2) | v122(constB149))),
% 54.59/34.83 inference(rewrite,[status(thm)],[])).
% 54.59/34.83 tff(26065,plain,
% 54.59/34.83 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB149, 0)) | (~v90(constB149, 1)) | v90(constB149, 2) | v122(constB149))),
% 54.59/34.83 inference(quant_inst,[status(thm)],[])).
% 54.59/34.83 tff(26066,plain,
% 54.59/34.83 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB149, 0)) | (~v90(constB149, 1)) | v90(constB149, 2) | v122(constB149)),
% 54.59/34.83 inference(modus_ponens,[status(thm)],[26065, 26064])).
% 54.59/34.83 tff(26067,plain,
% 54.59/34.83 ((~v90(constB149, 0)) | (~v90(constB149, 1)) | v90(constB149, 2)),
% 54.59/34.83 inference(unit_resolution,[status(thm)],[26066, 1956, 26063])).
% 54.59/34.83 tff(26068,plain,
% 54.59/34.83 (~v90(constB149, 1)),
% 54.59/34.83 inference(unit_resolution,[status(thm)],[26067, 26062, 26061])).
% 54.59/34.83 tff(26069,assumption,(~v120(constB149)), introduced(assumption)).
% 54.59/34.83 tff(26070,plain,
% 54.59/34.83 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB149, 0)) | v90(constB149, 1) | v90(constB149, 2) | v120(constB149))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB149, 0)) | v90(constB149, 1) | v90(constB149, 2) | v120(constB149))),
% 54.59/34.83 inference(rewrite,[status(thm)],[])).
% 54.59/34.83 tff(26071,plain,
% 54.59/34.83 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB149, 0)) | v90(constB149, 1) | v90(constB149, 2) | v120(constB149))),
% 54.59/34.83 inference(quant_inst,[status(thm)],[])).
% 54.59/34.83 tff(26072,plain,
% 54.59/34.83 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB149, 0)) | v90(constB149, 1) | v90(constB149, 2) | v120(constB149)),
% 54.59/34.83 inference(modus_ponens,[status(thm)],[26071, 26070])).
% 54.59/34.83 tff(26073,plain,
% 54.59/34.83 ((~v90(constB149, 0)) | v90(constB149, 1) | v90(constB149, 2)),
% 54.59/34.83 inference(unit_resolution,[status(thm)],[26072, 1414, 26069])).
% 54.59/34.83 tff(26074,plain,
% 54.59/34.83 ($false),
% 54.59/34.83 inference(unit_resolution,[status(thm)],[26073, 26068, 26062, 26061])).
% 54.59/34.83 tff(26075,plain,(v90(constB149, 2) | (~v90(constB149, 0)) | v120(constB149) | v122(constB149)), inference(lemma,lemma(discharge,[]))).
% 54.59/34.83 tff(26076,plain,
% 54.59/34.83 (v90(constB149, 2)),
% 54.59/34.83 inference(unit_resolution,[status(thm)],[26075, 26043, 26060, 26056])).
% 54.59/34.83 tff(26077,plain,
% 54.59/34.83 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB149)) | (~v130(constB149, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB149)) | (~v130(constB149, 0)))),
% 54.59/34.83 inference(rewrite,[status(thm)],[])).
% 54.59/34.83 tff(26078,plain,
% 54.59/34.83 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB149)) | (~v130(constB149, 0)))),
% 54.59/34.83 inference(quant_inst,[status(thm)],[])).
% 54.59/34.83 tff(26079,plain,
% 54.59/34.83 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB149)) | (~v130(constB149, 0))),
% 54.59/34.83 inference(modus_ponens,[status(thm)],[26078, 26077])).
% 54.59/34.83 tff(26080,plain,
% 54.59/34.83 (~v124(constB149)),
% 54.59/34.83 inference(unit_resolution,[status(thm)],[26079, 3274, 26052])).
% 54.59/34.83 tff(26081,plain,
% 54.59/34.83 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB149, 0)) | v90(constB149, 1) | (~v90(constB149, 2)) | v124(constB149))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB149, 0)) | v90(constB149, 1) | (~v90(constB149, 2)) | v124(constB149))),
% 54.59/34.83 inference(rewrite,[status(thm)],[])).
% 54.59/34.83 tff(26082,plain,
% 54.59/34.83 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB149, 0)) | v90(constB149, 1) | (~v90(constB149, 2)) | v124(constB149))),
% 54.59/34.83 inference(quant_inst,[status(thm)],[])).
% 54.59/34.83 tff(26083,plain,
% 54.59/34.83 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB149, 0)) | v90(constB149, 1) | (~v90(constB149, 2)) | v124(constB149)),
% 54.59/34.83 inference(modus_ponens,[status(thm)],[26082, 26081])).
% 54.59/34.83 tff(26084,plain,
% 54.59/34.83 ((~v90(constB149, 0)) | v90(constB149, 1) | (~v90(constB149, 2))),
% 54.59/34.83 inference(unit_resolution,[status(thm)],[26083, 2663, 26080])).
% 54.59/34.83 tff(26085,plain,
% 54.59/34.83 (v90(constB149, 1)),
% 54.59/34.83 inference(unit_resolution,[status(thm)],[26084, 26076, 26043])).
% 54.59/34.83 tff(26086,plain,
% 54.59/34.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB148, 1) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB148, 1) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, 1)))),
% 54.59/34.83 inference(rewrite,[status(thm)],[])).
% 54.59/34.83 tff(26087,plain,
% 54.59/34.83 (((~nextState(constB148, constB149)) | v90(constB148, 1) | v100(constB149) | (~v90(constB149, 1))) <=> (v90(constB148, 1) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, 1)))),
% 54.59/34.83 inference(rewrite,[status(thm)],[])).
% 54.59/34.83 tff(26088,plain,
% 54.59/34.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB148, constB149)) | v90(constB148, 1) | v100(constB149) | (~v90(constB149, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB148, 1) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, 1))))),
% 54.59/34.83 inference(monotonicity,[status(thm)],[26087])).
% 54.59/34.83 tff(26089,plain,
% 54.59/34.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB148, constB149)) | v90(constB148, 1) | v100(constB149) | (~v90(constB149, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB148, 1) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, 1)))),
% 54.59/34.83 inference(transitivity,[status(thm)],[26088, 26086])).
% 54.59/34.83 tff(26090,plain,
% 54.59/34.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB148, constB149)) | v90(constB148, 1) | v100(constB149) | (~v90(constB149, 1)))),
% 54.59/34.83 inference(quant_inst,[status(thm)],[])).
% 54.59/34.83 tff(26091,plain,
% 54.59/34.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB148, 1) | (~nextState(constB148, constB149)) | v100(constB149) | (~v90(constB149, 1))),
% 54.59/34.83 inference(modus_ponens,[status(thm)],[26090, 26089])).
% 54.59/34.83 tff(26092,plain,
% 54.59/34.83 (v90(constB148, 1) | v100(constB149) | (~v90(constB149, 1))),
% 54.59/34.83 inference(unit_resolution,[status(thm)],[26091, 926, 24853])).
% 54.59/34.83 tff(26093,plain,
% 54.59/34.83 (v90(constB148, 1) | (~v90(constB149, 1))),
% 54.59/34.83 inference(unit_resolution,[status(thm)],[26092, 24865])).
% 54.59/34.83 tff(26094,plain,
% 54.59/34.83 (v90(constB148, 1)),
% 54.59/34.83 inference(unit_resolution,[status(thm)],[26093, 26085])).
% 54.59/34.83 tff(26095,plain,
% 54.59/34.83 (v90(constB148, 2)),
% 54.59/34.83 inference(unit_resolution,[status(thm)],[24873, 26076])).
% 54.59/34.83 tff(26096,assumption,(~v123(constB145)), introduced(assumption)).
% 54.59/34.83 tff(26097,assumption,(~v90(constB127, 2)), introduced(assumption)).
% 54.59/34.83 tff(26098,plain,
% 54.59/34.83 (v90(constB148, 0)),
% 54.59/34.83 inference(unit_resolution,[status(thm)],[24893, 26043])).
% 54.59/34.83 tff(26099,assumption,(~v100(constB148)), introduced(assumption)).
% 54.59/34.83 tff(26100,plain,
% 54.59/34.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB147, 0) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB147, 0) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, 0)))),
% 54.59/34.83 inference(rewrite,[status(thm)],[])).
% 54.59/34.83 tff(26101,plain,
% 54.59/34.83 (((~nextState(constB147, constB148)) | v90(constB147, 0) | v100(constB148) | (~v90(constB148, 0))) <=> (v90(constB147, 0) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, 0)))),
% 54.59/34.83 inference(rewrite,[status(thm)],[])).
% 54.59/34.83 tff(26102,plain,
% 54.59/34.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB147, constB148)) | v90(constB147, 0) | v100(constB148) | (~v90(constB148, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB147, 0) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, 0))))),
% 54.59/34.83 inference(monotonicity,[status(thm)],[26101])).
% 54.59/34.83 tff(26103,plain,
% 54.59/34.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB147, constB148)) | v90(constB147, 0) | v100(constB148) | (~v90(constB148, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB147, 0) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, 0)))),
% 54.59/34.83 inference(transitivity,[status(thm)],[26102, 26100])).
% 54.59/34.83 tff(26104,plain,
% 54.59/34.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB147, constB148)) | v90(constB147, 0) | v100(constB148) | (~v90(constB148, 0)))),
% 54.59/34.83 inference(quant_inst,[status(thm)],[])).
% 54.59/34.83 tff(26105,plain,
% 54.59/34.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB147, 0) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, 0))),
% 54.59/34.83 inference(modus_ponens,[status(thm)],[26104, 26103])).
% 54.59/34.83 tff(26106,plain,
% 54.59/34.83 (v90(constB147, 0) | v100(constB148) | (~v90(constB148, 0))),
% 54.59/34.83 inference(unit_resolution,[status(thm)],[26105, 947, 24762])).
% 54.59/34.83 tff(26107,plain,
% 54.59/34.83 (v90(constB147, 0)),
% 54.59/34.83 inference(unit_resolution,[status(thm)],[26106, 26099, 24768])).
% 54.59/34.83 tff(26108,plain,
% 54.59/34.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB146, 0) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB146, 0) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, 0)))),
% 54.59/34.83 inference(rewrite,[status(thm)],[])).
% 54.59/34.83 tff(26109,plain,
% 54.59/34.83 (((~nextState(constB146, constB147)) | v90(constB146, 0) | v100(constB147) | (~v90(constB147, 0))) <=> (v90(constB146, 0) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, 0)))),
% 54.59/34.83 inference(rewrite,[status(thm)],[])).
% 54.59/34.83 tff(26110,plain,
% 54.59/34.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB146, constB147)) | v90(constB146, 0) | v100(constB147) | (~v90(constB147, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB146, 0) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, 0))))),
% 54.59/34.83 inference(monotonicity,[status(thm)],[26109])).
% 54.59/34.83 tff(26111,plain,
% 54.59/34.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB146, constB147)) | v90(constB146, 0) | v100(constB147) | (~v90(constB147, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB146, 0) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, 0)))),
% 54.59/34.83 inference(transitivity,[status(thm)],[26110, 26108])).
% 54.59/34.83 tff(26112,plain,
% 54.59/34.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB146, constB147)) | v90(constB146, 0) | v100(constB147) | (~v90(constB147, 0)))),
% 54.59/34.83 inference(quant_inst,[status(thm)],[])).
% 54.59/34.83 tff(26113,plain,
% 54.59/34.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB146, 0) | (~nextState(constB146, constB147)) | v100(constB147) | (~v90(constB147, 0))),
% 54.59/34.83 inference(modus_ponens,[status(thm)],[26112, 26111])).
% 54.59/34.83 tff(26114,plain,
% 54.59/34.83 (v90(constB146, 0) | v100(constB147) | (~v90(constB147, 0))),
% 54.59/34.83 inference(unit_resolution,[status(thm)],[26113, 947, 24609])).
% 54.59/34.83 tff(26115,plain,
% 54.59/34.83 (v90(constB146, 0) | (~v90(constB147, 0))),
% 54.59/34.83 inference(unit_resolution,[status(thm)],[26114, 24621])).
% 54.59/34.83 tff(26116,plain,
% 54.59/34.83 (v90(constB146, 0)),
% 54.59/34.83 inference(unit_resolution,[status(thm)],[26115, 26107])).
% 54.59/34.83 tff(26117,assumption,(v90(constB148, 1)), introduced(assumption)).
% 54.59/34.83 tff(26118,plain,
% 54.59/34.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB147, 1) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB147, 1) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, 1)))),
% 54.59/34.83 inference(rewrite,[status(thm)],[])).
% 54.59/34.83 tff(26119,plain,
% 54.59/34.83 (((~nextState(constB147, constB148)) | v90(constB147, 1) | v100(constB148) | (~v90(constB148, 1))) <=> (v90(constB147, 1) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, 1)))),
% 54.59/34.83 inference(rewrite,[status(thm)],[])).
% 54.59/34.83 tff(26120,plain,
% 54.59/34.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB147, constB148)) | v90(constB147, 1) | v100(constB148) | (~v90(constB148, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB147, 1) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, 1))))),
% 54.59/34.83 inference(monotonicity,[status(thm)],[26119])).
% 54.59/34.83 tff(26121,plain,
% 54.59/34.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB147, constB148)) | v90(constB147, 1) | v100(constB148) | (~v90(constB148, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB147, 1) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, 1)))),
% 54.59/34.83 inference(transitivity,[status(thm)],[26120, 26118])).
% 54.59/34.83 tff(26122,plain,
% 54.59/34.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB147, constB148)) | v90(constB147, 1) | v100(constB148) | (~v90(constB148, 1)))),
% 54.59/34.83 inference(quant_inst,[status(thm)],[])).
% 54.59/34.83 tff(26123,plain,
% 54.59/34.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB147, 1) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, 1))),
% 54.59/34.83 inference(modus_ponens,[status(thm)],[26122, 26121])).
% 54.59/34.83 tff(26124,plain,
% 54.59/34.83 (v90(constB147, 1) | v100(constB148) | (~v90(constB148, 1))),
% 54.59/34.83 inference(unit_resolution,[status(thm)],[26123, 926, 24762])).
% 54.59/34.83 tff(26125,plain,
% 54.59/34.83 (v90(constB147, 1)),
% 54.59/34.83 inference(unit_resolution,[status(thm)],[26124, 26099, 26117])).
% 54.59/34.83 tff(26126,plain,
% 54.59/34.83 (v90(constB146, 1)),
% 54.59/34.83 inference(unit_resolution,[status(thm)],[24694, 26125])).
% 54.59/34.83 tff(26127,assumption,(v90(constB148, 2)), introduced(assumption)).
% 54.59/34.83 tff(26128,plain,
% 54.59/34.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB147, 2) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB147, 2) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, 2)))),
% 54.59/34.84 inference(rewrite,[status(thm)],[])).
% 54.59/34.84 tff(26129,plain,
% 54.59/34.84 (((~nextState(constB147, constB148)) | v90(constB147, 2) | v100(constB148) | (~v90(constB148, 2))) <=> (v90(constB147, 2) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, 2)))),
% 54.59/34.84 inference(rewrite,[status(thm)],[])).
% 54.59/34.84 tff(26130,plain,
% 54.59/34.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB147, constB148)) | v90(constB147, 2) | v100(constB148) | (~v90(constB148, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB147, 2) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, 2))))),
% 54.59/34.84 inference(monotonicity,[status(thm)],[26129])).
% 54.59/34.84 tff(26131,plain,
% 54.59/34.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB147, constB148)) | v90(constB147, 2) | v100(constB148) | (~v90(constB148, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB147, 2) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, 2)))),
% 54.59/34.84 inference(transitivity,[status(thm)],[26130, 26128])).
% 54.59/34.84 tff(26132,plain,
% 54.59/34.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB147, constB148)) | v90(constB147, 2) | v100(constB148) | (~v90(constB148, 2)))),
% 54.59/34.84 inference(quant_inst,[status(thm)],[])).
% 54.59/34.84 tff(26133,plain,
% 54.59/34.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB147, 2) | (~nextState(constB147, constB148)) | v100(constB148) | (~v90(constB148, 2))),
% 54.59/34.84 inference(modus_ponens,[status(thm)],[26132, 26131])).
% 54.59/34.84 tff(26134,plain,
% 54.59/34.84 (v90(constB147, 2) | v100(constB148) | (~v90(constB148, 2))),
% 54.59/34.84 inference(unit_resolution,[status(thm)],[26133, 905, 24762])).
% 54.59/34.84 tff(26135,plain,
% 54.59/34.84 (v90(constB147, 2)),
% 54.59/34.84 inference(unit_resolution,[status(thm)],[26134, 26099, 26127])).
% 54.59/34.84 tff(26136,plain,
% 54.59/34.84 (v90(constB146, 2)),
% 54.59/34.84 inference(unit_resolution,[status(thm)],[24660, 26135])).
% 54.59/34.84 tff(26137,assumption,(v90(constB146, 2)), introduced(assumption)).
% 54.59/34.84 tff(26138,assumption,(~v100(constB146)), introduced(assumption)).
% 54.59/34.84 tff(26139,plain,
% 54.59/34.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB145, 2) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB145, 2) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, 2)))),
% 54.59/34.84 inference(rewrite,[status(thm)],[])).
% 54.59/34.84 tff(26140,plain,
% 54.59/34.84 (((~nextState(constB145, constB146)) | v90(constB145, 2) | v100(constB146) | (~v90(constB146, 2))) <=> (v90(constB145, 2) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, 2)))),
% 54.59/34.84 inference(rewrite,[status(thm)],[])).
% 54.59/34.84 tff(26141,plain,
% 54.59/34.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB145, constB146)) | v90(constB145, 2) | v100(constB146) | (~v90(constB146, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB145, 2) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, 2))))),
% 54.59/34.84 inference(monotonicity,[status(thm)],[26140])).
% 54.59/34.84 tff(26142,plain,
% 54.59/34.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB145, constB146)) | v90(constB145, 2) | v100(constB146) | (~v90(constB146, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB145, 2) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, 2)))),
% 54.59/34.84 inference(transitivity,[status(thm)],[26141, 26139])).
% 54.59/34.84 tff(26143,plain,
% 54.59/34.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB145, constB146)) | v90(constB145, 2) | v100(constB146) | (~v90(constB146, 2)))),
% 54.59/34.84 inference(quant_inst,[status(thm)],[])).
% 54.59/34.84 tff(26144,plain,
% 54.59/34.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB145, 2) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, 2))),
% 54.59/34.84 inference(modus_ponens,[status(thm)],[26143, 26142])).
% 54.59/34.84 tff(26145,plain,
% 54.59/34.84 (v90(constB145, 2) | v100(constB146) | (~v90(constB146, 2))),
% 54.59/34.84 inference(unit_resolution,[status(thm)],[26144, 905, 24526])).
% 54.59/34.84 tff(26146,plain,
% 54.59/34.84 (v90(constB145, 2)),
% 54.59/34.84 inference(unit_resolution,[status(thm)],[26145, 26138, 26137])).
% 54.59/34.84 tff(26147,plain,
% 54.59/34.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB144, 2) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB144, 2) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, 2)))),
% 54.59/34.84 inference(rewrite,[status(thm)],[])).
% 54.59/34.84 tff(26148,plain,
% 54.59/34.84 (((~nextState(constB144, constB145)) | v90(constB144, 2) | v100(constB145) | (~v90(constB145, 2))) <=> (v90(constB144, 2) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, 2)))),
% 54.59/34.84 inference(rewrite,[status(thm)],[])).
% 54.59/34.84 tff(26149,plain,
% 54.59/34.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB144, constB145)) | v90(constB144, 2) | v100(constB145) | (~v90(constB145, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB144, 2) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, 2))))),
% 54.59/34.84 inference(monotonicity,[status(thm)],[26148])).
% 54.59/34.84 tff(26150,plain,
% 54.59/34.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB144, constB145)) | v90(constB144, 2) | v100(constB145) | (~v90(constB145, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB144, 2) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, 2)))),
% 54.59/34.84 inference(transitivity,[status(thm)],[26149, 26147])).
% 54.59/34.84 tff(26151,plain,
% 54.59/34.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB144, constB145)) | v90(constB144, 2) | v100(constB145) | (~v90(constB145, 2)))),
% 54.59/34.84 inference(quant_inst,[status(thm)],[])).
% 54.59/34.84 tff(26152,plain,
% 54.59/34.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB144, 2) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, 2))),
% 54.59/34.84 inference(modus_ponens,[status(thm)],[26151, 26150])).
% 54.59/34.84 tff(26153,plain,
% 54.59/34.84 (v90(constB144, 2) | v100(constB145) | (~v90(constB145, 2))),
% 54.59/34.84 inference(unit_resolution,[status(thm)],[26152, 905, 24413])).
% 54.59/34.84 tff(26154,plain,
% 54.59/34.84 (v90(constB144, 2) | (~v90(constB145, 2))),
% 54.59/34.84 inference(unit_resolution,[status(thm)],[26153, 24425])).
% 54.59/34.84 tff(26155,plain,
% 54.59/34.84 (v90(constB144, 2)),
% 54.59/34.84 inference(unit_resolution,[status(thm)],[26154, 26146])).
% 54.59/34.84 tff(26156,assumption,(v90(constB146, 1)), introduced(assumption)).
% 54.59/34.84 tff(26157,plain,
% 54.59/34.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB145, 1) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB145, 1) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, 1)))),
% 54.59/34.84 inference(rewrite,[status(thm)],[])).
% 54.59/34.84 tff(26158,plain,
% 54.59/34.84 (((~nextState(constB145, constB146)) | v90(constB145, 1) | v100(constB146) | (~v90(constB146, 1))) <=> (v90(constB145, 1) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, 1)))),
% 54.59/34.84 inference(rewrite,[status(thm)],[])).
% 54.59/34.84 tff(26159,plain,
% 54.59/34.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB145, constB146)) | v90(constB145, 1) | v100(constB146) | (~v90(constB146, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB145, 1) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, 1))))),
% 54.59/34.84 inference(monotonicity,[status(thm)],[26158])).
% 54.59/34.84 tff(26160,plain,
% 54.59/34.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB145, constB146)) | v90(constB145, 1) | v100(constB146) | (~v90(constB146, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB145, 1) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, 1)))),
% 54.59/34.84 inference(transitivity,[status(thm)],[26159, 26157])).
% 54.59/34.84 tff(26161,plain,
% 54.59/34.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB145, constB146)) | v90(constB145, 1) | v100(constB146) | (~v90(constB146, 1)))),
% 54.59/34.84 inference(quant_inst,[status(thm)],[])).
% 54.59/34.84 tff(26162,plain,
% 54.59/34.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB145, 1) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, 1))),
% 54.59/34.84 inference(modus_ponens,[status(thm)],[26161, 26160])).
% 54.59/34.84 tff(26163,plain,
% 54.59/34.84 (v90(constB145, 1) | v100(constB146) | (~v90(constB146, 1))),
% 54.59/34.84 inference(unit_resolution,[status(thm)],[26162, 926, 24526])).
% 54.59/34.84 tff(26164,plain,
% 54.59/34.84 (v90(constB145, 1)),
% 54.59/34.84 inference(unit_resolution,[status(thm)],[26163, 26138, 26156])).
% 54.59/34.84 tff(26165,plain,
% 54.59/34.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB144, 1) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB144, 1) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, 1)))),
% 54.59/34.84 inference(rewrite,[status(thm)],[])).
% 54.59/34.84 tff(26166,plain,
% 54.59/34.84 (((~nextState(constB144, constB145)) | v90(constB144, 1) | v100(constB145) | (~v90(constB145, 1))) <=> (v90(constB144, 1) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, 1)))),
% 54.59/34.84 inference(rewrite,[status(thm)],[])).
% 54.59/34.84 tff(26167,plain,
% 54.59/34.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB144, constB145)) | v90(constB144, 1) | v100(constB145) | (~v90(constB145, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB144, 1) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, 1))))),
% 54.59/34.84 inference(monotonicity,[status(thm)],[26166])).
% 54.59/34.84 tff(26168,plain,
% 54.59/34.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB144, constB145)) | v90(constB144, 1) | v100(constB145) | (~v90(constB145, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB144, 1) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, 1)))),
% 54.59/34.84 inference(transitivity,[status(thm)],[26167, 26165])).
% 54.59/34.84 tff(26169,plain,
% 54.59/34.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB144, constB145)) | v90(constB144, 1) | v100(constB145) | (~v90(constB145, 1)))),
% 54.59/34.84 inference(quant_inst,[status(thm)],[])).
% 54.59/34.84 tff(26170,plain,
% 54.59/34.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB144, 1) | (~nextState(constB144, constB145)) | v100(constB145) | (~v90(constB145, 1))),
% 54.59/34.84 inference(modus_ponens,[status(thm)],[26169, 26168])).
% 54.59/34.84 tff(26171,plain,
% 54.59/34.84 (v90(constB144, 1) | v100(constB145) | (~v90(constB145, 1))),
% 54.59/34.84 inference(unit_resolution,[status(thm)],[26170, 926, 24413])).
% 54.59/34.84 tff(26172,plain,
% 54.59/34.84 (v90(constB144, 1) | (~v90(constB145, 1))),
% 54.59/34.84 inference(unit_resolution,[status(thm)],[26171, 24425])).
% 54.59/34.84 tff(26173,plain,
% 54.59/34.84 (v90(constB144, 1)),
% 54.59/34.84 inference(unit_resolution,[status(thm)],[26172, 26164])).
% 54.59/34.84 tff(26174,assumption,(v90(constB146, 0)), introduced(assumption)).
% 54.59/34.84 tff(26175,plain,
% 54.59/34.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB145, 0) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB145, 0) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, 0)))),
% 54.59/34.84 inference(rewrite,[status(thm)],[])).
% 54.59/34.84 tff(26176,plain,
% 54.59/34.84 (((~nextState(constB145, constB146)) | v90(constB145, 0) | v100(constB146) | (~v90(constB146, 0))) <=> (v90(constB145, 0) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, 0)))),
% 54.59/34.84 inference(rewrite,[status(thm)],[])).
% 54.59/34.84 tff(26177,plain,
% 54.59/34.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB145, constB146)) | v90(constB145, 0) | v100(constB146) | (~v90(constB146, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB145, 0) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, 0))))),
% 54.59/34.84 inference(monotonicity,[status(thm)],[26176])).
% 54.59/34.84 tff(26178,plain,
% 54.59/34.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB145, constB146)) | v90(constB145, 0) | v100(constB146) | (~v90(constB146, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB145, 0) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, 0)))),
% 54.59/34.84 inference(transitivity,[status(thm)],[26177, 26175])).
% 54.59/34.84 tff(26179,plain,
% 54.59/34.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB145, constB146)) | v90(constB145, 0) | v100(constB146) | (~v90(constB146, 0)))),
% 54.59/34.84 inference(quant_inst,[status(thm)],[])).
% 54.59/34.84 tff(26180,plain,
% 54.59/34.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB145, 0) | (~nextState(constB145, constB146)) | v100(constB146) | (~v90(constB146, 0))),
% 54.59/34.84 inference(modus_ponens,[status(thm)],[26179, 26178])).
% 54.59/34.84 tff(26181,plain,
% 54.59/34.84 (v90(constB145, 0) | v100(constB146) | (~v90(constB146, 0))),
% 54.59/34.84 inference(unit_resolution,[status(thm)],[26180, 947, 24526])).
% 54.59/34.84 tff(26182,plain,
% 54.59/34.84 (v90(constB145, 0)),
% 54.59/34.84 inference(unit_resolution,[status(thm)],[26181, 26138, 26174])).
% 54.59/34.84 tff(26183,plain,
% 54.59/34.84 (v90(constB144, 0)),
% 54.59/34.84 inference(unit_resolution,[status(thm)],[24498, 26182])).
% 54.59/34.84 tff(26184,assumption,(v90(constB144, 1)), introduced(assumption)).
% 54.59/34.84 tff(26185,assumption,(~v90(constB143, 1)), introduced(assumption)).
% 54.59/34.84 tff(26186,plain,
% 54.59/34.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB143, 1) | (~nextState(constB143, constB144)) | v100(constB144) | (~v90(constB144, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB143, 1) | (~nextState(constB143, constB144)) | v100(constB144) | (~v90(constB144, 1)))),
% 54.59/34.84 inference(rewrite,[status(thm)],[])).
% 54.59/34.84 tff(26187,plain,
% 54.59/34.84 (((~nextState(constB143, constB144)) | v90(constB143, 1) | v100(constB144) | (~v90(constB144, 1))) <=> (v90(constB143, 1) | (~nextState(constB143, constB144)) | v100(constB144) | (~v90(constB144, 1)))),
% 54.59/34.84 inference(rewrite,[status(thm)],[])).
% 54.59/34.84 tff(26188,plain,
% 54.59/34.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB143, constB144)) | v90(constB143, 1) | v100(constB144) | (~v90(constB144, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB143, 1) | (~nextState(constB143, constB144)) | v100(constB144) | (~v90(constB144, 1))))),
% 54.59/34.84 inference(monotonicity,[status(thm)],[26187])).
% 54.59/34.84 tff(26189,plain,
% 54.59/34.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB143, constB144)) | v90(constB143, 1) | v100(constB144) | (~v90(constB144, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB143, 1) | (~nextState(constB143, constB144)) | v100(constB144) | (~v90(constB144, 1)))),
% 54.59/34.84 inference(transitivity,[status(thm)],[26188, 26186])).
% 54.59/34.84 tff(26190,plain,
% 54.59/34.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB143, constB144)) | v90(constB143, 1) | v100(constB144) | (~v90(constB144, 1)))),
% 54.59/34.84 inference(quant_inst,[status(thm)],[])).
% 54.59/34.84 tff(26191,plain,
% 54.59/34.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB143, 1) | (~nextState(constB143, constB144)) | v100(constB144) | (~v90(constB144, 1))),
% 54.59/34.84 inference(modus_ponens,[status(thm)],[26190, 26189])).
% 54.59/34.84 tff(26192,plain,
% 54.59/34.84 (v90(constB143, 1) | v100(constB144) | (~v90(constB144, 1))),
% 54.59/34.84 inference(unit_resolution,[status(thm)],[26191, 926, 24351])).
% 54.59/34.84 tff(26193,plain,
% 54.59/34.84 (v100(constB144)),
% 54.59/34.84 inference(unit_resolution,[status(thm)],[26192, 26185, 26184])).
% 54.59/34.84 tff(26194,assumption,(v90(constB144, 2)), introduced(assumption)).
% 54.59/34.84 tff(26195,plain,
% 54.59/34.84 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB144, 2)) | v129(constB144, 2) | (~v100(constB144)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB144, 2)) | v129(constB144, 2) | (~v100(constB144)))),
% 54.59/34.84 inference(rewrite,[status(thm)],[])).
% 54.59/34.84 tff(26196,plain,
% 54.59/34.84 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB144, 2)) | v129(constB144, 2) | (~v100(constB144)))),
% 54.59/34.84 inference(quant_inst,[status(thm)],[])).
% 54.59/34.84 tff(26197,plain,
% 54.59/34.84 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB144, 2)) | v129(constB144, 2) | (~v100(constB144))),
% 54.59/34.84 inference(modus_ponens,[status(thm)],[26196, 26195])).
% 54.59/34.84 tff(26198,plain,
% 54.59/34.84 (v129(constB144, 2) | (~v100(constB144))),
% 54.59/34.84 inference(unit_resolution,[status(thm)],[26197, 1223, 26194])).
% 54.59/34.84 tff(26199,plain,
% 54.59/34.84 (v129(constB144, 2)),
% 54.59/34.84 inference(unit_resolution,[status(thm)],[26198, 26193])).
% 54.59/34.84 tff(26200,plain,
% 54.59/34.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB143, constB144)) | v127(constB143, 2) | (~v129(constB144, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB143, constB144)) | v127(constB143, 2) | (~v129(constB144, 2)))),
% 54.59/34.84 inference(rewrite,[status(thm)],[])).
% 54.59/34.84 tff(26201,plain,
% 54.59/34.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB143, constB144)) | v127(constB143, 2) | (~v129(constB144, 2)))),
% 54.59/34.84 inference(quant_inst,[status(thm)],[])).
% 54.59/34.84 tff(26202,plain,
% 54.59/34.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB143, constB144)) | v127(constB143, 2) | (~v129(constB144, 2))),
% 54.59/34.84 inference(modus_ponens,[status(thm)],[26201, 26200])).
% 54.59/34.84 tff(26203,plain,
% 54.59/34.84 (v127(constB143, 2) | (~v129(constB144, 2))),
% 54.59/34.84 inference(unit_resolution,[status(thm)],[26202, 1208, 24351])).
% 54.59/34.84 tff(26204,plain,
% 54.59/34.84 (v127(constB143, 2)),
% 54.59/34.84 inference(unit_resolution,[status(thm)],[26203, 26199])).
% 54.59/34.84 tff(26205,plain,
% 54.59/34.84 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | ((~v26(constB143)) | (~v127(constB143, 2)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | (~v26(constB143)) | (~v127(constB143, 2)))),
% 54.59/34.84 inference(rewrite,[status(thm)],[])).
% 54.59/34.84 tff(26206,plain,
% 54.59/34.84 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | ((~v26(constB143)) | (~v127(constB143, 2)))),
% 54.59/34.84 inference(quant_inst,[status(thm)],[])).
% 54.59/34.84 tff(26207,plain,
% 54.59/34.84 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | (~v26(constB143)) | (~v127(constB143, 2))),
% 54.59/34.84 inference(modus_ponens,[status(thm)],[26206, 26205])).
% 54.59/34.84 tff(26208,plain,
% 54.59/34.84 (~v26(constB143)),
% 54.59/34.84 inference(unit_resolution,[status(thm)],[26207, 3715, 26204])).
% 54.59/34.84 tff(26209,plain,
% 54.59/34.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB143, 2)) | v26(constB143) | v130(constB143, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB143, 2)) | v26(constB143) | v130(constB143, 2))),
% 54.59/34.84 inference(rewrite,[status(thm)],[])).
% 54.59/34.84 tff(26210,plain,
% 54.59/34.84 ((v26(constB143) | v130(constB143, 2) | (~v127(constB143, 2))) <=> ((~v127(constB143, 2)) | v26(constB143) | v130(constB143, 2))),
% 54.59/34.84 inference(rewrite,[status(thm)],[])).
% 54.59/34.84 tff(26211,plain,
% 54.59/34.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB143) | v130(constB143, 2) | (~v127(constB143, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB143, 2)) | v26(constB143) | v130(constB143, 2)))),
% 54.59/34.84 inference(monotonicity,[status(thm)],[26210])).
% 54.59/34.84 tff(26212,plain,
% 54.59/34.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB143) | v130(constB143, 2) | (~v127(constB143, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB143, 2)) | v26(constB143) | v130(constB143, 2))),
% 54.59/34.84 inference(transitivity,[status(thm)],[26211, 26209])).
% 54.59/34.84 tff(26213,plain,
% 54.59/34.84 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB143) | v130(constB143, 2) | (~v127(constB143, 2)))),
% 54.59/34.84 inference(quant_inst,[status(thm)],[])).
% 54.59/34.84 tff(26214,plain,
% 54.59/34.84 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB143, 2)) | v26(constB143) | v130(constB143, 2)),
% 54.59/34.84 inference(modus_ponens,[status(thm)],[26213, 26212])).
% 54.59/34.84 tff(26215,plain,
% 54.59/34.84 (v130(constB143, 2)),
% 54.59/34.84 inference(unit_resolution,[status(thm)],[26214, 1190, 26204, 26208])).
% 54.59/34.84 tff(26216,plain,
% 54.59/34.84 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB143)) | (~v130(constB143, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB143)) | (~v130(constB143, 2)))),
% 54.59/34.84 inference(rewrite,[status(thm)],[])).
% 54.59/34.84 tff(26217,plain,
% 54.59/34.84 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB143)) | (~v130(constB143, 2)))),
% 54.59/34.84 inference(quant_inst,[status(thm)],[])).
% 54.59/34.84 tff(26218,plain,
% 54.59/34.84 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB143)) | (~v130(constB143, 2))),
% 54.59/34.84 inference(modus_ponens,[status(thm)],[26217, 26216])).
% 54.59/34.84 tff(26219,plain,
% 54.59/34.84 (~v119(constB143)),
% 54.59/34.84 inference(unit_resolution,[status(thm)],[26218, 1176, 26215])).
% 54.59/34.84 tff(26220,plain,
% 54.59/34.84 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB143)) | (~v130(constB143, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB143)) | (~v130(constB143, 2)))),
% 54.59/34.84 inference(rewrite,[status(thm)],[])).
% 54.59/34.84 tff(26221,plain,
% 54.59/34.84 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB143)) | (~v130(constB143, 2)))),
% 54.59/34.84 inference(quant_inst,[status(thm)],[])).
% 54.59/34.84 tff(26222,plain,
% 54.59/34.84 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB143)) | (~v130(constB143, 2))),
% 54.59/34.84 inference(modus_ponens,[status(thm)],[26221, 26220])).
% 54.59/34.84 tff(26223,plain,
% 54.59/34.84 (~v120(constB143)),
% 54.59/34.84 inference(unit_resolution,[status(thm)],[26222, 1523, 26215])).
% 54.59/34.84 tff(26224,plain,
% 54.59/34.84 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))) | ((~v121(constB143)) | v90(constB143, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))) | (~v121(constB143)) | v90(constB143, 1))),
% 54.59/34.84 inference(rewrite,[status(thm)],[])).
% 54.59/34.84 tff(26225,plain,
% 54.59/34.84 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))) | ((~v121(constB143)) | v90(constB143, 1))),
% 54.59/34.84 inference(quant_inst,[status(thm)],[])).
% 54.59/34.84 tff(26226,plain,
% 54.59/34.84 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))) | (~v121(constB143)) | v90(constB143, 1)),
% 54.59/34.84 inference(modus_ponens,[status(thm)],[26225, 26224])).
% 54.59/34.84 tff(26227,plain,
% 54.59/34.84 (~v121(constB143)),
% 54.59/34.84 inference(unit_resolution,[status(thm)],[26226, 6012, 26185])).
% 54.59/34.84 tff(26228,plain,
% 54.59/34.84 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | ((~v122(constB143)) | v90(constB143, 1))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | (~v122(constB143)) | v90(constB143, 1))),
% 54.59/34.84 inference(rewrite,[status(thm)],[])).
% 54.59/34.84 tff(26229,plain,
% 54.59/34.84 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | ((~v122(constB143)) | v90(constB143, 1))),
% 54.59/34.84 inference(quant_inst,[status(thm)],[])).
% 54.59/34.84 tff(26230,plain,
% 54.59/34.84 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | (~v122(constB143)) | v90(constB143, 1)),
% 54.59/34.84 inference(modus_ponens,[status(thm)],[26229, 26228])).
% 54.59/34.84 tff(26231,plain,
% 54.59/34.84 (~v122(constB143)),
% 54.59/34.84 inference(unit_resolution,[status(thm)],[26230, 5282, 26185])).
% 54.59/34.84 tff(26232,assumption,(v90(constB144, 0)), introduced(assumption)).
% 54.59/34.84 tff(26233,plain,
% 54.59/34.84 (v129(constB144, 0) | (~v100(constB144))),
% 54.59/34.84 inference(unit_resolution,[status(thm)],[24488, 1704, 26232])).
% 54.59/34.84 tff(26234,plain,
% 54.59/34.84 (v129(constB144, 0)),
% 54.59/34.84 inference(unit_resolution,[status(thm)],[26233, 26193])).
% 54.59/34.84 tff(26235,plain,
% 54.59/34.84 (v127(constB143, 0)),
% 54.59/34.84 inference(unit_resolution,[status(thm)],[24481, 26234])).
% 54.59/34.84 tff(26236,plain,
% 54.59/34.84 (v130(constB143, 0)),
% 54.59/34.84 inference(unit_resolution,[status(thm)],[24475, 1671, 26235, 26208])).
% 54.59/34.84 tff(26237,plain,
% 54.59/34.84 (~v124(constB143)),
% 54.59/34.84 inference(unit_resolution,[status(thm)],[24468, 3274, 26236])).
% 54.59/34.84 tff(26238,plain,
% 54.59/34.84 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB144, 1)) | v129(constB144, 1) | (~v100(constB144)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB144, 1)) | v129(constB144, 1) | (~v100(constB144)))),
% 54.59/34.84 inference(rewrite,[status(thm)],[])).
% 54.59/34.84 tff(26239,plain,
% 54.59/34.84 (((~v90(constB144, 1)) | (~v100(constB144)) | v129(constB144, 1)) <=> ((~v90(constB144, 1)) | v129(constB144, 1) | (~v100(constB144)))),
% 54.59/34.84 inference(rewrite,[status(thm)],[])).
% 54.59/34.84 tff(26240,plain,
% 54.59/34.84 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB144, 1)) | (~v100(constB144)) | v129(constB144, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB144, 1)) | v129(constB144, 1) | (~v100(constB144))))),
% 54.59/34.84 inference(monotonicity,[status(thm)],[26239])).
% 54.59/34.84 tff(26241,plain,
% 54.59/34.84 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB144, 1)) | (~v100(constB144)) | v129(constB144, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB144, 1)) | v129(constB144, 1) | (~v100(constB144)))),
% 54.59/34.84 inference(transitivity,[status(thm)],[26240, 26238])).
% 54.59/34.84 tff(26242,plain,
% 54.59/34.84 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB144, 1)) | (~v100(constB144)) | v129(constB144, 1))),
% 54.59/34.84 inference(quant_inst,[status(thm)],[])).
% 54.59/34.84 tff(26243,plain,
% 54.59/34.84 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB144, 1)) | v129(constB144, 1) | (~v100(constB144))),
% 54.59/34.84 inference(modus_ponens,[status(thm)],[26242, 26241])).
% 54.59/34.84 tff(26244,plain,
% 54.59/34.84 (v129(constB144, 1) | (~v100(constB144))),
% 54.59/34.84 inference(unit_resolution,[status(thm)],[26243, 1309, 26184])).
% 54.59/34.84 tff(26245,plain,
% 54.59/34.84 (v129(constB144, 1)),
% 54.59/34.84 inference(unit_resolution,[status(thm)],[26244, 26193])).
% 54.59/34.84 tff(26246,plain,
% 54.59/34.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB143, constB144)) | v127(constB143, 1) | (~v129(constB144, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB143, constB144)) | v127(constB143, 1) | (~v129(constB144, 1)))),
% 54.59/34.84 inference(rewrite,[status(thm)],[])).
% 54.59/34.84 tff(26247,plain,
% 54.59/34.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB143, constB144)) | v127(constB143, 1) | (~v129(constB144, 1)))),
% 54.59/34.84 inference(quant_inst,[status(thm)],[])).
% 54.59/34.84 tff(26248,plain,
% 54.59/34.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB143, constB144)) | v127(constB143, 1) | (~v129(constB144, 1))),
% 54.59/34.84 inference(modus_ponens,[status(thm)],[26247, 26246])).
% 54.59/34.84 tff(26249,plain,
% 54.59/34.84 (v127(constB143, 1) | (~v129(constB144, 1))),
% 54.59/34.84 inference(unit_resolution,[status(thm)],[26248, 1294, 24351])).
% 54.59/34.84 tff(26250,plain,
% 54.59/34.84 (v127(constB143, 1)),
% 54.59/34.84 inference(unit_resolution,[status(thm)],[26249, 26245])).
% 54.59/34.84 tff(26251,plain,
% 54.59/34.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB143, 1)) | v26(constB143) | v130(constB143, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB143, 1)) | v26(constB143) | v130(constB143, 1))),
% 54.59/34.84 inference(rewrite,[status(thm)],[])).
% 54.59/34.84 tff(26252,plain,
% 54.59/34.84 ((v26(constB143) | v130(constB143, 1) | (~v127(constB143, 1))) <=> ((~v127(constB143, 1)) | v26(constB143) | v130(constB143, 1))),
% 54.59/34.84 inference(rewrite,[status(thm)],[])).
% 54.59/34.84 tff(26253,plain,
% 54.59/34.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB143) | v130(constB143, 1) | (~v127(constB143, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB143, 1)) | v26(constB143) | v130(constB143, 1)))),
% 54.59/34.84 inference(monotonicity,[status(thm)],[26252])).
% 54.59/34.84 tff(26254,plain,
% 54.59/34.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB143) | v130(constB143, 1) | (~v127(constB143, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB143, 1)) | v26(constB143) | v130(constB143, 1))),
% 54.59/34.84 inference(transitivity,[status(thm)],[26253, 26251])).
% 54.59/34.84 tff(26255,plain,
% 54.59/34.84 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB143) | v130(constB143, 1) | (~v127(constB143, 1)))),
% 54.59/34.84 inference(quant_inst,[status(thm)],[])).
% 54.59/34.84 tff(26256,plain,
% 54.59/34.84 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB143, 1)) | v26(constB143) | v130(constB143, 1)),
% 54.59/34.84 inference(modus_ponens,[status(thm)],[26255, 26254])).
% 54.59/34.84 tff(26257,plain,
% 54.59/34.84 (v130(constB143, 1)),
% 54.59/34.84 inference(unit_resolution,[status(thm)],[26256, 1276, 26250, 26208])).
% 54.59/34.84 tff(26258,plain,
% 54.59/34.84 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB143) | v120(constB143) | v121(constB143) | v122(constB143) | v123(constB143) | v124(constB143) | (~v130(constB143, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB143) | v120(constB143) | v121(constB143) | v122(constB143) | v123(constB143) | v124(constB143) | (~v130(constB143, 1)))),
% 54.59/34.84 inference(rewrite,[status(thm)],[])).
% 54.59/34.84 tff(26259,plain,
% 54.59/34.84 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB143) | v120(constB143) | v121(constB143) | v122(constB143) | v123(constB143) | v124(constB143) | (~v130(constB143, 1)))),
% 54.59/34.84 inference(quant_inst,[status(thm)],[])).
% 54.59/34.84 tff(26260,plain,
% 54.59/34.84 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB143) | v120(constB143) | v121(constB143) | v122(constB143) | v123(constB143) | v124(constB143) | (~v130(constB143, 1))),
% 54.59/34.84 inference(modus_ponens,[status(thm)],[26259, 26258])).
% 54.59/34.84 tff(26261,plain,
% 54.59/34.84 (v123(constB143)),
% 54.59/34.84 inference(unit_resolution,[status(thm)],[26260, 3309, 26257, 26237, 26231, 26227, 26223, 26219])).
% 54.59/34.84 tff(26262,plain,
% 54.59/34.84 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB143)) | (~v130(constB143, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB143)) | (~v130(constB143, 1)))),
% 54.59/34.84 inference(rewrite,[status(thm)],[])).
% 54.59/34.84 tff(26263,plain,
% 54.59/34.84 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB143)) | (~v130(constB143, 1)))),
% 54.59/34.84 inference(quant_inst,[status(thm)],[])).
% 54.59/34.84 tff(26264,plain,
% 54.59/34.84 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB143)) | (~v130(constB143, 1))),
% 54.59/34.84 inference(modus_ponens,[status(thm)],[26263, 26262])).
% 54.59/34.84 tff(26265,plain,
% 54.59/34.84 ($false),
% 54.59/34.84 inference(unit_resolution,[status(thm)],[26264, 2581, 26257, 26261])).
% 54.59/34.84 tff(26266,plain,(v90(constB143, 1) | (~v90(constB144, 1)) | (~v90(constB144, 0)) | (~v90(constB144, 2))), inference(lemma,lemma(discharge,[]))).
% 54.59/34.84 tff(26267,plain,
% 54.59/34.84 (v90(constB143, 1)),
% 54.59/34.84 inference(unit_resolution,[status(thm)],[26266, 26183, 26173, 26155])).
% 54.59/34.84 tff(26268,plain,
% 54.59/34.84 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB143)) | (~v90(constB143, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB143)) | (~v90(constB143, 1)))),
% 54.68/34.84 inference(rewrite,[status(thm)],[])).
% 54.68/34.84 tff(26269,plain,
% 54.68/34.84 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB143)) | (~v90(constB143, 1)))),
% 54.68/34.84 inference(quant_inst,[status(thm)],[])).
% 54.68/34.84 tff(26270,plain,
% 54.68/34.84 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB143)) | (~v90(constB143, 1))),
% 54.68/34.84 inference(modus_ponens,[status(thm)],[26269, 26268])).
% 54.68/34.84 tff(26271,plain,
% 54.68/34.84 (~v124(constB143)),
% 54.68/34.84 inference(unit_resolution,[status(thm)],[26270, 2890, 26267])).
% 54.68/34.84 tff(26272,plain,
% 54.68/34.84 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB143)) | (~v90(constB143, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB143)) | (~v90(constB143, 1)))),
% 54.68/34.84 inference(rewrite,[status(thm)],[])).
% 54.68/34.84 tff(26273,plain,
% 54.68/34.84 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB143)) | (~v90(constB143, 1)))),
% 54.68/34.84 inference(quant_inst,[status(thm)],[])).
% 54.68/34.84 tff(26274,plain,
% 54.68/34.84 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB143)) | (~v90(constB143, 1))),
% 54.68/34.84 inference(modus_ponens,[status(thm)],[26273, 26272])).
% 54.68/34.84 tff(26275,plain,
% 54.68/34.84 (~v123(constB143)),
% 54.68/34.84 inference(unit_resolution,[status(thm)],[26274, 2879, 26267])).
% 54.68/34.84 tff(26276,plain,
% 54.68/34.84 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB143)) | (~v90(constB143, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB143)) | (~v90(constB143, 1)))),
% 54.68/34.84 inference(rewrite,[status(thm)],[])).
% 54.68/34.84 tff(26277,plain,
% 54.68/34.84 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB143)) | (~v90(constB143, 1)))),
% 54.68/34.84 inference(quant_inst,[status(thm)],[])).
% 54.68/34.84 tff(26278,plain,
% 54.68/34.84 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB143)) | (~v90(constB143, 1))),
% 54.68/34.84 inference(modus_ponens,[status(thm)],[26277, 26276])).
% 54.68/34.84 tff(26279,plain,
% 54.68/34.84 (~v119(constB143)),
% 54.68/34.84 inference(unit_resolution,[status(thm)],[26278, 2868, 26267])).
% 54.68/34.84 tff(26280,plain,
% 54.68/34.84 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB143)) | (~v90(constB143, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB143)) | (~v90(constB143, 1)))),
% 54.68/34.84 inference(rewrite,[status(thm)],[])).
% 54.68/34.84 tff(26281,plain,
% 54.68/34.84 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB143)) | (~v90(constB143, 1)))),
% 54.68/34.84 inference(quant_inst,[status(thm)],[])).
% 54.68/34.84 tff(26282,plain,
% 54.68/34.84 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB143)) | (~v90(constB143, 1))),
% 54.68/34.84 inference(modus_ponens,[status(thm)],[26281, 26280])).
% 54.68/34.84 tff(26283,plain,
% 54.68/34.84 (~v120(constB143)),
% 54.68/34.84 inference(unit_resolution,[status(thm)],[26282, 2846, 26267])).
% 54.68/34.84 tff(26284,assumption,(~v129(constB144, 0)), introduced(assumption)).
% 54.68/34.84 tff(26285,plain,
% 54.68/34.84 (~v100(constB144)),
% 54.68/34.84 inference(unit_resolution,[status(thm)],[26233, 26284])).
% 54.68/34.84 tff(26286,plain,
% 54.68/34.84 (~v110(constB144)),
% 54.68/34.84 inference(unit_resolution,[status(thm)],[24384, 26285])).
% 54.68/34.84 tff(26287,plain,
% 54.68/34.84 (~v108(constB143)),
% 54.68/34.84 inference(unit_resolution,[status(thm)],[24358, 26286])).
% 54.68/34.84 tff(26288,plain,
% 54.68/34.84 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB143) | (~v26(constB143)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB143) | (~v26(constB143)))),
% 54.68/34.84 inference(rewrite,[status(thm)],[])).
% 54.68/34.84 tff(26289,plain,
% 54.68/34.84 (((~v26(constB143)) | v108(constB143)) <=> (v108(constB143) | (~v26(constB143)))),
% 54.68/34.84 inference(rewrite,[status(thm)],[])).
% 54.68/34.84 tff(26290,plain,
% 54.68/34.84 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB143)) | v108(constB143))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB143) | (~v26(constB143))))),
% 54.68/34.84 inference(monotonicity,[status(thm)],[26289])).
% 54.68/34.84 tff(26291,plain,
% 54.68/34.84 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB143)) | v108(constB143))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB143) | (~v26(constB143)))),
% 54.68/34.84 inference(transitivity,[status(thm)],[26290, 26288])).
% 54.68/34.84 tff(26292,plain,
% 54.68/34.84 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB143)) | v108(constB143))),
% 54.68/34.84 inference(quant_inst,[status(thm)],[])).
% 54.68/34.84 tff(26293,plain,
% 54.68/34.84 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB143) | (~v26(constB143))),
% 54.68/34.84 inference(modus_ponens,[status(thm)],[26292, 26291])).
% 54.68/34.84 tff(26294,plain,
% 54.68/34.84 (~v26(constB143)),
% 54.68/34.84 inference(unit_resolution,[status(thm)],[26293, 2050, 26287])).
% 54.68/34.84 tff(26295,plain,
% 54.68/34.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB143, 0) | (~nextState(constB143, constB144)) | v100(constB144) | (~v90(constB144, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB143, 0) | (~nextState(constB143, constB144)) | v100(constB144) | (~v90(constB144, 0)))),
% 54.68/34.84 inference(rewrite,[status(thm)],[])).
% 54.68/34.84 tff(26296,plain,
% 54.68/34.84 (((~nextState(constB143, constB144)) | v90(constB143, 0) | v100(constB144) | (~v90(constB144, 0))) <=> (v90(constB143, 0) | (~nextState(constB143, constB144)) | v100(constB144) | (~v90(constB144, 0)))),
% 54.68/34.84 inference(rewrite,[status(thm)],[])).
% 54.68/34.84 tff(26297,plain,
% 54.68/34.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB143, constB144)) | v90(constB143, 0) | v100(constB144) | (~v90(constB144, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB143, 0) | (~nextState(constB143, constB144)) | v100(constB144) | (~v90(constB144, 0))))),
% 54.68/34.84 inference(monotonicity,[status(thm)],[26296])).
% 54.68/34.84 tff(26298,plain,
% 54.68/34.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB143, constB144)) | v90(constB143, 0) | v100(constB144) | (~v90(constB144, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB143, 0) | (~nextState(constB143, constB144)) | v100(constB144) | (~v90(constB144, 0)))),
% 54.68/34.84 inference(transitivity,[status(thm)],[26297, 26295])).
% 54.68/34.84 tff(26299,plain,
% 54.68/34.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB143, constB144)) | v90(constB143, 0) | v100(constB144) | (~v90(constB144, 0)))),
% 54.68/34.84 inference(quant_inst,[status(thm)],[])).
% 54.68/34.84 tff(26300,plain,
% 54.68/34.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB143, 0) | (~nextState(constB143, constB144)) | v100(constB144) | (~v90(constB144, 0))),
% 54.68/34.84 inference(modus_ponens,[status(thm)],[26299, 26298])).
% 54.68/34.84 tff(26301,plain,
% 54.68/34.84 (v90(constB143, 0) | v100(constB144) | (~v90(constB144, 0))),
% 54.68/34.84 inference(unit_resolution,[status(thm)],[26300, 947, 24351])).
% 54.68/34.84 tff(26302,plain,
% 54.68/34.84 (v90(constB143, 0)),
% 54.68/34.84 inference(unit_resolution,[status(thm)],[26301, 26285, 26232])).
% 54.68/34.84 tff(26303,plain,
% 54.68/34.84 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v121(constB143)) | (~v90(constB143, 0)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | (~v121(constB143)) | (~v90(constB143, 0)))),
% 54.68/34.84 inference(rewrite,[status(thm)],[])).
% 54.68/34.84 tff(26304,plain,
% 54.68/34.84 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v121(constB143)) | (~v90(constB143, 0)))),
% 54.68/34.85 inference(quant_inst,[status(thm)],[])).
% 54.68/34.85 tff(26305,plain,
% 54.68/34.85 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | (~v121(constB143)) | (~v90(constB143, 0))),
% 54.68/34.85 inference(modus_ponens,[status(thm)],[26304, 26303])).
% 54.68/34.85 tff(26306,plain,
% 54.68/34.85 (~v121(constB143)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[26305, 5876, 26302])).
% 54.68/34.85 tff(26307,plain,
% 54.68/34.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB143, 2) | (~nextState(constB143, constB144)) | v100(constB144) | (~v90(constB144, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB143, 2) | (~nextState(constB143, constB144)) | v100(constB144) | (~v90(constB144, 2)))),
% 54.68/34.85 inference(rewrite,[status(thm)],[])).
% 54.68/34.85 tff(26308,plain,
% 54.68/34.85 (((~nextState(constB143, constB144)) | v90(constB143, 2) | v100(constB144) | (~v90(constB144, 2))) <=> (v90(constB143, 2) | (~nextState(constB143, constB144)) | v100(constB144) | (~v90(constB144, 2)))),
% 54.68/34.85 inference(rewrite,[status(thm)],[])).
% 54.68/34.85 tff(26309,plain,
% 54.68/34.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB143, constB144)) | v90(constB143, 2) | v100(constB144) | (~v90(constB144, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB143, 2) | (~nextState(constB143, constB144)) | v100(constB144) | (~v90(constB144, 2))))),
% 54.68/34.85 inference(monotonicity,[status(thm)],[26308])).
% 54.68/34.85 tff(26310,plain,
% 54.68/34.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB143, constB144)) | v90(constB143, 2) | v100(constB144) | (~v90(constB144, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB143, 2) | (~nextState(constB143, constB144)) | v100(constB144) | (~v90(constB144, 2)))),
% 54.68/34.85 inference(transitivity,[status(thm)],[26309, 26307])).
% 54.68/34.85 tff(26311,plain,
% 54.68/34.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB143, constB144)) | v90(constB143, 2) | v100(constB144) | (~v90(constB144, 2)))),
% 54.68/34.85 inference(quant_inst,[status(thm)],[])).
% 54.68/34.85 tff(26312,plain,
% 54.68/34.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB143, 2) | (~nextState(constB143, constB144)) | v100(constB144) | (~v90(constB144, 2))),
% 54.68/34.85 inference(modus_ponens,[status(thm)],[26311, 26310])).
% 54.68/34.85 tff(26313,plain,
% 54.68/34.85 (v90(constB143, 2) | v100(constB144) | (~v90(constB144, 2))),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[26312, 905, 24351])).
% 54.68/34.85 tff(26314,plain,
% 54.68/34.85 (v90(constB143, 2)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[26313, 26285, 26194])).
% 54.68/34.85 tff(26315,plain,
% 54.68/34.85 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB143)) | (~v90(constB143, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB143)) | (~v90(constB143, 2)))),
% 54.68/34.85 inference(rewrite,[status(thm)],[])).
% 54.68/34.85 tff(26316,plain,
% 54.68/34.85 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB143)) | (~v90(constB143, 2)))),
% 54.68/34.85 inference(quant_inst,[status(thm)],[])).
% 54.68/34.85 tff(26317,plain,
% 54.68/34.85 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB143)) | (~v90(constB143, 2))),
% 54.68/34.85 inference(modus_ponens,[status(thm)],[26316, 26315])).
% 54.68/34.85 tff(26318,plain,
% 54.68/34.85 (~v122(constB143)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[26317, 2797, 26314])).
% 54.68/34.85 tff(26319,assumption,(~v119(constB143)), introduced(assumption)).
% 54.68/34.85 tff(26320,assumption,(~v120(constB143)), introduced(assumption)).
% 54.68/34.85 tff(26321,assumption,(~v123(constB143)), introduced(assumption)).
% 54.68/34.85 tff(26322,assumption,(~v124(constB143)), introduced(assumption)).
% 54.68/34.85 tff(26323,plain,
% 54.68/34.85 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB143) | v120(constB143) | v121(constB143) | v122(constB143) | v123(constB143) | v124(constB143) | v130(constB143, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB143) | v120(constB143) | v121(constB143) | v122(constB143) | v123(constB143) | v124(constB143) | v130(constB143, 0))),
% 54.68/34.85 inference(rewrite,[status(thm)],[])).
% 54.68/34.85 tff(26324,plain,
% 54.68/34.85 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB143) | v120(constB143) | v121(constB143) | v122(constB143) | v123(constB143) | v124(constB143) | v130(constB143, 0))),
% 54.68/34.85 inference(quant_inst,[status(thm)],[])).
% 54.68/34.85 tff(26325,plain,
% 54.68/34.85 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB143) | v120(constB143) | v121(constB143) | v122(constB143) | v123(constB143) | v124(constB143) | v130(constB143, 0)),
% 54.68/34.85 inference(modus_ponens,[status(thm)],[26324, 26323])).
% 54.68/34.85 tff(26326,plain,
% 54.68/34.85 (v121(constB143) | v122(constB143) | v130(constB143, 0)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[26325, 3413, 26322, 26321, 26320, 26319])).
% 54.68/34.85 tff(26327,plain,
% 54.68/34.85 (v130(constB143, 0)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[26326, 26318, 26306])).
% 54.68/34.85 tff(26328,plain,
% 54.68/34.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB143, constB144)) | (~v127(constB143, 0)) | v129(constB144, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB143, constB144)) | (~v127(constB143, 0)) | v129(constB144, 0))),
% 54.68/34.85 inference(rewrite,[status(thm)],[])).
% 54.68/34.85 tff(26329,plain,
% 54.68/34.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB143, constB144)) | (~v127(constB143, 0)) | v129(constB144, 0))),
% 54.68/34.85 inference(quant_inst,[status(thm)],[])).
% 54.68/34.85 tff(26330,plain,
% 54.68/34.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB143, constB144)) | (~v127(constB143, 0)) | v129(constB144, 0)),
% 54.68/34.85 inference(modus_ponens,[status(thm)],[26329, 26328])).
% 54.68/34.85 tff(26331,plain,
% 54.68/34.85 ((~v127(constB143, 0)) | v129(constB144, 0)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[26330, 1362, 24351])).
% 54.68/34.85 tff(26332,plain,
% 54.68/34.85 (~v127(constB143, 0)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[26331, 26284])).
% 54.68/34.85 tff(26333,plain,
% 54.68/34.85 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB143) | (~v130(constB143, 0)) | v127(constB143, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB143) | (~v130(constB143, 0)) | v127(constB143, 0))),
% 54.68/34.85 inference(rewrite,[status(thm)],[])).
% 54.68/34.85 tff(26334,plain,
% 54.68/34.85 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB143) | (~v130(constB143, 0)) | v127(constB143, 0))),
% 54.68/34.85 inference(quant_inst,[status(thm)],[])).
% 54.68/34.85 tff(26335,plain,
% 54.68/34.85 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB143) | (~v130(constB143, 0)) | v127(constB143, 0)),
% 54.68/34.85 inference(modus_ponens,[status(thm)],[26334, 26333])).
% 54.68/34.85 tff(26336,plain,
% 54.68/34.85 (v26(constB143) | (~v130(constB143, 0))),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[26335, 1347, 26332])).
% 54.68/34.85 tff(26337,plain,
% 54.68/34.85 ($false),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[26336, 26327, 26294])).
% 54.68/34.85 tff(26338,plain,(v129(constB144, 0) | v124(constB143) | v123(constB143) | v120(constB143) | v119(constB143) | (~v90(constB144, 2)) | (~v90(constB144, 0))), inference(lemma,lemma(discharge,[]))).
% 54.68/34.85 tff(26339,plain,
% 54.68/34.85 (v129(constB144, 0)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[26338, 26283, 26183, 26155, 26279, 26275, 26271])).
% 54.68/34.85 tff(26340,plain,
% 54.68/34.85 (v127(constB143, 0)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[24481, 26339])).
% 54.68/34.85 tff(26341,plain,
% 54.68/34.85 (v130(constB143, 0)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[24476, 26340])).
% 54.68/34.85 tff(26342,plain,
% 54.68/34.85 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB143)) | (~v130(constB143, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB143)) | (~v130(constB143, 0)))),
% 54.68/34.85 inference(rewrite,[status(thm)],[])).
% 54.68/34.85 tff(26343,plain,
% 54.68/34.85 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB143)) | (~v130(constB143, 0)))),
% 54.68/34.85 inference(quant_inst,[status(thm)],[])).
% 54.68/34.85 tff(26344,plain,
% 54.68/34.85 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB143)) | (~v130(constB143, 0))),
% 54.68/34.85 inference(modus_ponens,[status(thm)],[26343, 26342])).
% 54.68/34.85 tff(26345,plain,
% 54.68/34.85 (~v122(constB143)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[26344, 2407, 26341])).
% 54.68/34.85 tff(26346,assumption,(~v122(constB143)), introduced(assumption)).
% 54.68/34.85 tff(26347,assumption,(v121(constB141)), introduced(assumption)).
% 54.68/34.85 tff(26348,plain,
% 54.68/34.85 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB141)) | v117(constB141))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB141)) | v117(constB141))),
% 54.68/34.85 inference(rewrite,[status(thm)],[])).
% 54.68/34.85 tff(26349,plain,
% 54.68/34.85 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB141)) | v117(constB141))),
% 54.68/34.85 inference(quant_inst,[status(thm)],[])).
% 54.68/34.85 tff(26350,plain,
% 54.68/34.85 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB141)) | v117(constB141)),
% 54.68/34.85 inference(modus_ponens,[status(thm)],[26349, 26348])).
% 54.68/34.85 tff(26351,plain,
% 54.68/34.85 (v117(constB141)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[26350, 1742, 26347])).
% 54.68/34.85 tff(26352,plain,
% 54.68/34.85 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB141)) | v116(constB141))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB141)) | v116(constB141))),
% 54.68/34.85 inference(rewrite,[status(thm)],[])).
% 54.68/34.85 tff(26353,plain,
% 54.68/34.85 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB141)) | v116(constB141))),
% 54.68/34.85 inference(quant_inst,[status(thm)],[])).
% 54.68/34.85 tff(26354,plain,
% 54.68/34.85 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (~v117(constB141)) | v116(constB141)),
% 54.68/34.85 inference(modus_ponens,[status(thm)],[26353, 26352])).
% 54.68/34.85 tff(26355,plain,
% 54.68/34.85 (v116(constB141)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[26354, 1007, 26351])).
% 54.68/34.85 tff(26356,plain,
% 54.68/34.85 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB141) | (~v116(constB141)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB141) | (~v116(constB141)))),
% 54.68/34.85 inference(rewrite,[status(thm)],[])).
% 54.68/34.85 tff(26357,plain,
% 54.68/34.85 (((~v116(constB141)) | v115(constB141)) <=> (v115(constB141) | (~v116(constB141)))),
% 54.68/34.85 inference(rewrite,[status(thm)],[])).
% 54.68/34.85 tff(26358,plain,
% 54.68/34.85 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB141)) | v115(constB141))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB141) | (~v116(constB141))))),
% 54.68/34.85 inference(monotonicity,[status(thm)],[26357])).
% 54.68/34.85 tff(26359,plain,
% 54.68/34.85 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB141)) | v115(constB141))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB141) | (~v116(constB141)))),
% 54.68/34.85 inference(transitivity,[status(thm)],[26358, 26356])).
% 54.68/34.85 tff(26360,plain,
% 54.68/34.85 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB141)) | v115(constB141))),
% 54.68/34.85 inference(quant_inst,[status(thm)],[])).
% 54.68/34.85 tff(26361,plain,
% 54.68/34.85 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB141) | (~v116(constB141))),
% 54.68/34.85 inference(modus_ponens,[status(thm)],[26360, 26359])).
% 54.68/34.85 tff(26362,plain,
% 54.68/34.85 (v115(constB141)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[26361, 1021, 26355])).
% 54.68/34.85 tff(26363,plain,
% 54.68/34.85 (v114(constB141)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[24139, 1035, 26362])).
% 54.68/34.85 tff(26364,plain,
% 54.68/34.85 (v113(constB141)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[24146, 1049, 26363])).
% 54.68/34.85 tff(26365,plain,
% 54.68/34.85 (v112(constB141)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[24158, 26364])).
% 54.68/34.85 tff(26366,plain,
% 54.68/34.85 (v108(constB141)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[24165, 1075, 26365])).
% 54.68/34.85 tff(26367,plain,
% 54.68/34.85 (v110(constB142)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[24176, 26366])).
% 54.68/34.85 tff(26368,plain,
% 54.68/34.85 (v100(constB142)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[24202, 26367])).
% 54.68/34.85 tff(26369,plain,
% 54.68/34.85 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB141)) | v130(constB141, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB141)) | v130(constB141, 0))),
% 54.68/34.85 inference(rewrite,[status(thm)],[])).
% 54.68/34.85 tff(26370,plain,
% 54.68/34.85 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB141)) | v130(constB141, 0))),
% 54.68/34.85 inference(quant_inst,[status(thm)],[])).
% 54.68/34.85 tff(26371,plain,
% 54.68/34.85 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB141)) | v130(constB141, 0)),
% 54.68/34.85 inference(modus_ponens,[status(thm)],[26370, 26369])).
% 54.68/34.85 tff(26372,plain,
% 54.68/34.85 (v130(constB141, 0)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[26371, 1915, 26347])).
% 54.68/34.85 tff(26373,plain,
% 54.68/34.85 (v127(constB141, 0)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[24294, 26372])).
% 54.68/34.85 tff(26374,plain,
% 54.68/34.85 (v129(constB142, 0)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[24299, 26373])).
% 54.68/34.85 tff(26375,plain,
% 54.68/34.85 (v90(constB142, 0) | (~v100(constB142))),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[24306, 1377, 26374])).
% 54.68/34.85 tff(26376,plain,
% 54.68/34.85 (v90(constB142, 0)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[26375, 26368])).
% 54.68/34.85 tff(26377,plain,
% 54.68/34.85 (v90(constB143, 0)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[24316, 26376])).
% 54.68/34.85 tff(26378,plain,
% 54.68/34.85 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB141)) | (~v130(constB141, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB141)) | (~v130(constB141, 2)))),
% 54.68/34.85 inference(rewrite,[status(thm)],[])).
% 54.68/34.85 tff(26379,plain,
% 54.68/34.85 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB141)) | (~v130(constB141, 2)))),
% 54.68/34.85 inference(quant_inst,[status(thm)],[])).
% 54.68/34.85 tff(26380,plain,
% 54.68/34.85 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB141)) | (~v130(constB141, 2))),
% 54.68/34.85 inference(modus_ponens,[status(thm)],[26379, 26378])).
% 54.68/34.85 tff(26381,plain,
% 54.68/34.85 (~v130(constB141, 2)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[26380, 1821, 26347])).
% 54.68/34.85 tff(26382,plain,
% 54.68/34.85 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB141, 2)) | v26(constB141) | v130(constB141, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB141, 2)) | v26(constB141) | v130(constB141, 2))),
% 54.68/34.85 inference(rewrite,[status(thm)],[])).
% 54.68/34.85 tff(26383,plain,
% 54.68/34.85 ((v26(constB141) | v130(constB141, 2) | (~v127(constB141, 2))) <=> ((~v127(constB141, 2)) | v26(constB141) | v130(constB141, 2))),
% 54.68/34.85 inference(rewrite,[status(thm)],[])).
% 54.68/34.85 tff(26384,plain,
% 54.68/34.85 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB141) | v130(constB141, 2) | (~v127(constB141, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB141, 2)) | v26(constB141) | v130(constB141, 2)))),
% 54.68/34.85 inference(monotonicity,[status(thm)],[26383])).
% 54.68/34.85 tff(26385,plain,
% 54.68/34.85 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB141) | v130(constB141, 2) | (~v127(constB141, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB141, 2)) | v26(constB141) | v130(constB141, 2))),
% 54.68/34.85 inference(transitivity,[status(thm)],[26384, 26382])).
% 54.68/34.85 tff(26386,plain,
% 54.68/34.85 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB141) | v130(constB141, 2) | (~v127(constB141, 2)))),
% 54.68/34.85 inference(quant_inst,[status(thm)],[])).
% 54.68/34.85 tff(26387,plain,
% 54.68/34.85 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB141, 2)) | v26(constB141) | v130(constB141, 2)),
% 54.68/34.85 inference(modus_ponens,[status(thm)],[26386, 26385])).
% 54.68/34.85 tff(26388,plain,
% 54.68/34.85 ((~v127(constB141, 2)) | v130(constB141, 2)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[26387, 1190, 24151])).
% 54.68/34.85 tff(26389,plain,
% 54.68/34.85 (~v127(constB141, 2)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[26388, 26381])).
% 54.68/34.85 tff(26390,plain,
% 54.68/34.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB141, constB142)) | v127(constB141, 2) | (~v129(constB142, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB141, constB142)) | v127(constB141, 2) | (~v129(constB142, 2)))),
% 54.68/34.85 inference(rewrite,[status(thm)],[])).
% 54.68/34.85 tff(26391,plain,
% 54.68/34.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB141, constB142)) | v127(constB141, 2) | (~v129(constB142, 2)))),
% 54.68/34.85 inference(quant_inst,[status(thm)],[])).
% 54.68/34.85 tff(26392,plain,
% 54.68/34.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB141, constB142)) | v127(constB141, 2) | (~v129(constB142, 2))),
% 54.68/34.85 inference(modus_ponens,[status(thm)],[26391, 26390])).
% 54.68/34.85 tff(26393,plain,
% 54.68/34.85 (v127(constB141, 2) | (~v129(constB142, 2))),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[26392, 1208, 24169])).
% 54.68/34.85 tff(26394,plain,
% 54.68/34.85 (~v129(constB142, 2)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[26393, 26389])).
% 54.68/34.85 tff(26395,plain,
% 54.68/34.85 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB142, 2)) | v129(constB142, 2) | (~v100(constB142)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB142, 2)) | v129(constB142, 2) | (~v100(constB142)))),
% 54.68/34.85 inference(rewrite,[status(thm)],[])).
% 54.68/34.85 tff(26396,plain,
% 54.68/34.85 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB142, 2)) | v129(constB142, 2) | (~v100(constB142)))),
% 54.68/34.85 inference(quant_inst,[status(thm)],[])).
% 54.68/34.85 tff(26397,plain,
% 54.68/34.85 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB142, 2)) | v129(constB142, 2) | (~v100(constB142))),
% 54.68/34.85 inference(modus_ponens,[status(thm)],[26396, 26395])).
% 54.68/34.85 tff(26398,plain,
% 54.68/34.85 ((~v90(constB142, 2)) | (~v100(constB142))),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[26397, 1223, 26394])).
% 54.68/34.85 tff(26399,plain,
% 54.68/34.85 (~v90(constB142, 2)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[26398, 26368])).
% 54.68/34.85 tff(26400,plain,
% 54.68/34.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB142, 2) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB142, 2) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, 2)))),
% 54.68/34.85 inference(rewrite,[status(thm)],[])).
% 54.68/34.85 tff(26401,plain,
% 54.68/34.85 (((~nextState(constB142, constB143)) | v90(constB142, 2) | v100(constB143) | (~v90(constB143, 2))) <=> (v90(constB142, 2) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, 2)))),
% 54.68/34.85 inference(rewrite,[status(thm)],[])).
% 54.68/34.85 tff(26402,plain,
% 54.68/34.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB142, constB143)) | v90(constB142, 2) | v100(constB143) | (~v90(constB143, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB142, 2) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, 2))))),
% 54.68/34.85 inference(monotonicity,[status(thm)],[26401])).
% 54.68/34.85 tff(26403,plain,
% 54.68/34.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB142, constB143)) | v90(constB142, 2) | v100(constB143) | (~v90(constB143, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB142, 2) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, 2)))),
% 54.68/34.85 inference(transitivity,[status(thm)],[26402, 26400])).
% 54.68/34.85 tff(26404,plain,
% 54.68/34.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB142, constB143)) | v90(constB142, 2) | v100(constB143) | (~v90(constB143, 2)))),
% 54.68/34.85 inference(quant_inst,[status(thm)],[])).
% 54.68/34.85 tff(26405,plain,
% 54.68/34.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB142, 2) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, 2))),
% 54.68/34.85 inference(modus_ponens,[status(thm)],[26404, 26403])).
% 54.68/34.85 tff(26406,plain,
% 54.68/34.85 (v90(constB142, 2) | v100(constB143) | (~v90(constB143, 2))),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[26405, 905, 24231])).
% 54.68/34.85 tff(26407,plain,
% 54.68/34.85 (v90(constB142, 2) | (~v90(constB143, 2))),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[26406, 24243])).
% 54.68/34.85 tff(26408,plain,
% 54.68/34.85 (~v90(constB143, 2)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[26407, 26399])).
% 54.68/34.85 tff(26409,assumption,(v90(constB143, 1)), introduced(assumption)).
% 54.68/34.85 tff(26410,plain,
% 54.68/34.85 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB143, 0)) | (~v90(constB143, 1)) | v90(constB143, 2) | v122(constB143))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB143, 0)) | (~v90(constB143, 1)) | v90(constB143, 2) | v122(constB143))),
% 54.68/34.85 inference(rewrite,[status(thm)],[])).
% 54.68/34.85 tff(26411,plain,
% 54.68/34.85 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB143, 0)) | (~v90(constB143, 1)) | v90(constB143, 2) | v122(constB143))),
% 54.68/34.85 inference(quant_inst,[status(thm)],[])).
% 54.68/34.85 tff(26412,plain,
% 54.68/34.85 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB143, 0)) | (~v90(constB143, 1)) | v90(constB143, 2) | v122(constB143)),
% 54.68/34.85 inference(modus_ponens,[status(thm)],[26411, 26410])).
% 54.68/34.85 tff(26413,plain,
% 54.68/34.85 ((~v90(constB143, 0)) | v90(constB143, 2) | v122(constB143)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[26412, 1956, 26409])).
% 54.68/34.85 tff(26414,plain,
% 54.68/34.85 ($false),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[26413, 26408, 26377, 26346])).
% 54.68/34.85 tff(26415,plain,((~v121(constB141)) | v122(constB143) | (~v90(constB143, 1))), inference(lemma,lemma(discharge,[]))).
% 54.68/34.85 tff(26416,plain,
% 54.68/34.85 (~v121(constB141)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[26415, 26345, 26267])).
% 54.68/34.85 tff(26417,plain,
% 54.68/34.85 (v90(constB142, 1)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[24285, 26267])).
% 54.68/34.85 tff(26418,assumption,(v90(constB142, 1)), introduced(assumption)).
% 54.68/34.85 tff(26419,assumption,(~v100(constB142)), introduced(assumption)).
% 54.68/34.85 tff(26420,assumption,(~v121(constB141)), introduced(assumption)).
% 54.68/34.85 tff(26421,plain,
% 54.68/34.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB141, 1) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB141, 1) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, 1)))),
% 54.68/34.85 inference(rewrite,[status(thm)],[])).
% 54.68/34.85 tff(26422,plain,
% 54.68/34.85 (((~nextState(constB141, constB142)) | v90(constB141, 1) | v100(constB142) | (~v90(constB142, 1))) <=> (v90(constB141, 1) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, 1)))),
% 54.68/34.85 inference(rewrite,[status(thm)],[])).
% 54.68/34.85 tff(26423,plain,
% 54.68/34.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB141, constB142)) | v90(constB141, 1) | v100(constB142) | (~v90(constB142, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB141, 1) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, 1))))),
% 54.68/34.85 inference(monotonicity,[status(thm)],[26422])).
% 54.68/34.85 tff(26424,plain,
% 54.68/34.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB141, constB142)) | v90(constB141, 1) | v100(constB142) | (~v90(constB142, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB141, 1) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, 1)))),
% 54.68/34.85 inference(transitivity,[status(thm)],[26423, 26421])).
% 54.68/34.85 tff(26425,plain,
% 54.68/34.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB141, constB142)) | v90(constB141, 1) | v100(constB142) | (~v90(constB142, 1)))),
% 54.68/34.85 inference(quant_inst,[status(thm)],[])).
% 54.68/34.85 tff(26426,plain,
% 54.68/34.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB141, 1) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, 1))),
% 54.68/34.85 inference(modus_ponens,[status(thm)],[26425, 26424])).
% 54.68/34.85 tff(26427,plain,
% 54.68/34.85 (v90(constB141, 1) | v100(constB142) | (~v90(constB142, 1))),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[26426, 926, 24169])).
% 54.68/34.85 tff(26428,plain,
% 54.68/34.85 (v90(constB141, 1)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[26427, 26419, 26418])).
% 54.68/34.85 tff(26429,plain,
% 54.68/34.85 (~v110(constB142)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[24202, 26419])).
% 54.68/34.85 tff(26430,plain,
% 54.68/34.85 (~v108(constB141)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[24176, 26429])).
% 54.68/34.85 tff(26431,plain,
% 54.68/34.85 (~v112(constB141)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[24165, 1075, 26430])).
% 54.68/34.85 tff(26432,plain,
% 54.68/34.85 (~v113(constB141)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[24158, 26431])).
% 54.68/34.85 tff(26433,plain,
% 54.68/34.85 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB141)) | v113(constB141))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB141)) | v113(constB141))),
% 54.68/34.85 inference(rewrite,[status(thm)],[])).
% 54.68/34.85 tff(26434,plain,
% 54.68/34.85 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB141)) | v113(constB141))),
% 54.68/34.85 inference(quant_inst,[status(thm)],[])).
% 54.68/34.85 tff(26435,plain,
% 54.68/34.85 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB141)) | v113(constB141)),
% 54.68/34.85 inference(modus_ponens,[status(thm)],[26434, 26433])).
% 54.68/34.85 tff(26436,plain,
% 54.68/34.85 (~v125(constB141)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[26435, 2262, 26432])).
% 54.68/34.85 tff(26437,assumption,(~v125(constB141)), introduced(assumption)).
% 54.68/34.85 tff(26438,assumption,(~v90(constB141, 0)), introduced(assumption)).
% 54.68/34.85 tff(26439,assumption,(v90(constB141, 1)), introduced(assumption)).
% 54.68/34.85 tff(26440,plain,
% 54.68/34.85 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB141, 0) | (~v90(constB141, 1)) | v90(constB141, 2) | v121(constB141))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB141, 0) | (~v90(constB141, 1)) | v90(constB141, 2) | v121(constB141))),
% 54.68/34.85 inference(rewrite,[status(thm)],[])).
% 54.68/34.85 tff(26441,plain,
% 54.68/34.85 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB141, 0) | (~v90(constB141, 1)) | v90(constB141, 2) | v121(constB141))),
% 54.68/34.85 inference(quant_inst,[status(thm)],[])).
% 54.68/34.85 tff(26442,plain,
% 54.68/34.85 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB141, 0) | (~v90(constB141, 1)) | v90(constB141, 2) | v121(constB141)),
% 54.68/34.85 inference(modus_ponens,[status(thm)],[26441, 26440])).
% 54.68/34.85 tff(26443,plain,
% 54.68/34.85 (v90(constB141, 0) | (~v90(constB141, 1)) | v90(constB141, 2)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[26442, 1731, 26420])).
% 54.68/34.85 tff(26444,plain,
% 54.68/34.85 (v90(constB141, 2)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[26443, 26438, 26439])).
% 54.68/34.85 tff(26445,plain,
% 54.68/34.85 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB141, 0) | (~v90(constB141, 1)) | (~v90(constB141, 2)) | v125(constB141))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB141, 0) | (~v90(constB141, 1)) | (~v90(constB141, 2)) | v125(constB141))),
% 54.68/34.85 inference(rewrite,[status(thm)],[])).
% 54.68/34.85 tff(26446,plain,
% 54.68/34.85 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB141, 0) | (~v90(constB141, 1)) | (~v90(constB141, 2)) | v125(constB141))),
% 54.68/34.85 inference(quant_inst,[status(thm)],[])).
% 54.68/34.85 tff(26447,plain,
% 54.68/34.85 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB141, 0) | (~v90(constB141, 1)) | (~v90(constB141, 2)) | v125(constB141)),
% 54.68/34.85 inference(modus_ponens,[status(thm)],[26446, 26445])).
% 54.68/34.85 tff(26448,plain,
% 54.68/34.85 (v90(constB141, 0) | (~v90(constB141, 2)) | v125(constB141)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[26447, 2279, 26439])).
% 54.68/34.85 tff(26449,plain,
% 54.68/34.85 ($false),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[26448, 26444, 26438, 26437])).
% 54.68/34.85 tff(26450,plain,(v90(constB141, 0) | v125(constB141) | (~v90(constB141, 1)) | v121(constB141)), inference(lemma,lemma(discharge,[]))).
% 54.68/34.85 tff(26451,plain,
% 54.68/34.85 (v90(constB141, 0)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[26450, 26436, 26428, 26420])).
% 54.68/34.85 tff(26452,plain,
% 54.68/34.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB141, 0)) | (~nextState(constB141, constB142)) | v100(constB142) | v90(constB142, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB141, 0)) | (~nextState(constB141, constB142)) | v100(constB142) | v90(constB142, 0))),
% 54.68/34.85 inference(rewrite,[status(thm)],[])).
% 54.68/34.85 tff(26453,plain,
% 54.68/34.85 (((~nextState(constB141, constB142)) | (~v90(constB141, 0)) | v100(constB142) | v90(constB142, 0)) <=> ((~v90(constB141, 0)) | (~nextState(constB141, constB142)) | v100(constB142) | v90(constB142, 0))),
% 54.68/34.85 inference(rewrite,[status(thm)],[])).
% 54.68/34.85 tff(26454,plain,
% 54.68/34.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB141, constB142)) | (~v90(constB141, 0)) | v100(constB142) | v90(constB142, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB141, 0)) | (~nextState(constB141, constB142)) | v100(constB142) | v90(constB142, 0)))),
% 54.68/34.85 inference(monotonicity,[status(thm)],[26453])).
% 54.68/34.85 tff(26455,plain,
% 54.68/34.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB141, constB142)) | (~v90(constB141, 0)) | v100(constB142) | v90(constB142, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB141, 0)) | (~nextState(constB141, constB142)) | v100(constB142) | v90(constB142, 0))),
% 54.68/34.85 inference(transitivity,[status(thm)],[26454, 26452])).
% 54.68/34.85 tff(26456,plain,
% 54.68/34.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB141, constB142)) | (~v90(constB141, 0)) | v100(constB142) | v90(constB142, 0))),
% 54.68/34.85 inference(quant_inst,[status(thm)],[])).
% 54.68/34.85 tff(26457,plain,
% 54.68/34.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB141, 0)) | (~nextState(constB141, constB142)) | v100(constB142) | v90(constB142, 0)),
% 54.68/34.85 inference(modus_ponens,[status(thm)],[26456, 26455])).
% 54.68/34.85 tff(26458,plain,
% 54.68/34.85 ((~v90(constB141, 0)) | v100(constB142) | v90(constB142, 0)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[26457, 1395, 24169])).
% 54.68/34.85 tff(26459,plain,
% 54.68/34.85 (v90(constB142, 0)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[26458, 26451, 26419])).
% 54.68/34.85 tff(26460,plain,
% 54.68/34.85 (~v114(constB141)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[24146, 1049, 26432])).
% 54.68/34.85 tff(26461,plain,
% 54.68/34.85 (~v115(constB141)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[24139, 1035, 26460])).
% 54.68/34.85 tff(26462,plain,
% 54.68/34.85 (~v116(constB141)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[26361, 1021, 26461])).
% 54.68/34.85 tff(26463,plain,
% 54.68/34.85 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB141)) | v116(constB141))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB141)) | v116(constB141))),
% 54.68/34.85 inference(rewrite,[status(thm)],[])).
% 54.68/34.85 tff(26464,plain,
% 54.68/34.85 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB141)) | v116(constB141))),
% 54.68/34.85 inference(quant_inst,[status(thm)],[])).
% 54.68/34.85 tff(26465,plain,
% 54.68/34.85 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB141)) | v116(constB141)),
% 54.68/34.85 inference(modus_ponens,[status(thm)],[26464, 26463])).
% 54.68/34.85 tff(26466,plain,
% 54.68/34.85 (~v122(constB141)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[26465, 2120, 26462])).
% 54.68/34.85 tff(26467,plain,
% 54.68/34.85 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB141, 0)) | (~v90(constB141, 1)) | v90(constB141, 2) | v122(constB141))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB141, 0)) | (~v90(constB141, 1)) | v90(constB141, 2) | v122(constB141))),
% 54.68/34.85 inference(rewrite,[status(thm)],[])).
% 54.68/34.85 tff(26468,plain,
% 54.68/34.85 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB141, 0)) | (~v90(constB141, 1)) | v90(constB141, 2) | v122(constB141))),
% 54.68/34.85 inference(quant_inst,[status(thm)],[])).
% 54.68/34.85 tff(26469,plain,
% 54.68/34.85 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB141, 0)) | (~v90(constB141, 1)) | v90(constB141, 2) | v122(constB141)),
% 54.68/34.85 inference(modus_ponens,[status(thm)],[26468, 26467])).
% 54.68/34.85 tff(26470,plain,
% 54.68/34.85 ((~v90(constB141, 0)) | v90(constB141, 2) | v122(constB141)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[26469, 1956, 26428])).
% 54.68/34.85 tff(26471,plain,
% 54.68/34.85 (v90(constB141, 2)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[26470, 26451, 26466])).
% 54.68/34.85 tff(26472,plain,
% 54.68/34.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB141, 2)) | (~nextState(constB141, constB142)) | v100(constB142) | v90(constB142, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB141, 2)) | (~nextState(constB141, constB142)) | v100(constB142) | v90(constB142, 2))),
% 54.68/34.85 inference(rewrite,[status(thm)],[])).
% 54.68/34.85 tff(26473,plain,
% 54.68/34.85 (((~nextState(constB141, constB142)) | (~v90(constB141, 2)) | v100(constB142) | v90(constB142, 2)) <=> ((~v90(constB141, 2)) | (~nextState(constB141, constB142)) | v100(constB142) | v90(constB142, 2))),
% 54.68/34.85 inference(rewrite,[status(thm)],[])).
% 54.68/34.85 tff(26474,plain,
% 54.68/34.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB141, constB142)) | (~v90(constB141, 2)) | v100(constB142) | v90(constB142, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB141, 2)) | (~nextState(constB141, constB142)) | v100(constB142) | v90(constB142, 2)))),
% 54.68/34.85 inference(monotonicity,[status(thm)],[26473])).
% 54.68/34.85 tff(26475,plain,
% 54.68/34.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB141, constB142)) | (~v90(constB141, 2)) | v100(constB142) | v90(constB142, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB141, 2)) | (~nextState(constB141, constB142)) | v100(constB142) | v90(constB142, 2))),
% 54.68/34.85 inference(transitivity,[status(thm)],[26474, 26472])).
% 54.68/34.85 tff(26476,plain,
% 54.68/34.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB141, constB142)) | (~v90(constB141, 2)) | v100(constB142) | v90(constB142, 2))),
% 54.68/34.85 inference(quant_inst,[status(thm)],[])).
% 54.68/34.85 tff(26477,plain,
% 54.68/34.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB141, 2)) | (~nextState(constB141, constB142)) | v100(constB142) | v90(constB142, 2)),
% 54.68/34.85 inference(modus_ponens,[status(thm)],[26476, 26475])).
% 54.68/34.85 tff(26478,plain,
% 54.68/34.85 ((~v90(constB141, 2)) | v100(constB142) | v90(constB142, 2)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[26477, 2174, 24169])).
% 54.68/34.85 tff(26479,plain,
% 54.68/34.85 (v90(constB142, 2)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[26478, 26471, 26419])).
% 54.68/34.85 tff(26480,assumption,(v90(constB142, 2)), introduced(assumption)).
% 54.68/34.85 tff(26481,assumption,(v90(constB142, 0)), introduced(assumption)).
% 54.68/34.85 tff(26482,assumption,(~v90(constB139, 0)), introduced(assumption)).
% 54.68/34.85 tff(26483,plain,
% 54.68/34.85 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB139)) | v90(constB139, 0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB139)) | v90(constB139, 0))),
% 54.68/34.85 inference(rewrite,[status(thm)],[])).
% 54.68/34.85 tff(26484,plain,
% 54.68/34.85 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB139)) | v90(constB139, 0))),
% 54.68/34.85 inference(quant_inst,[status(thm)],[])).
% 54.68/34.85 tff(26485,plain,
% 54.68/34.85 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB139)) | v90(constB139, 0)),
% 54.68/34.85 inference(modus_ponens,[status(thm)],[26484, 26483])).
% 54.68/34.85 tff(26486,plain,
% 54.68/34.85 (~v124(constB139)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[26485, 6692, 26482])).
% 54.68/34.85 tff(26487,assumption,(~v130(constB139, 0)), introduced(assumption)).
% 54.68/34.85 tff(26488,plain,
% 54.68/34.85 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB139)) | v130(constB139, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB139)) | v130(constB139, 0))),
% 54.68/34.85 inference(rewrite,[status(thm)],[])).
% 54.68/34.85 tff(26489,plain,
% 54.68/34.85 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB139)) | v130(constB139, 0))),
% 54.68/34.85 inference(quant_inst,[status(thm)],[])).
% 54.68/34.85 tff(26490,plain,
% 54.68/34.85 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB139)) | v130(constB139, 0)),
% 54.68/34.85 inference(modus_ponens,[status(thm)],[26489, 26488])).
% 54.68/34.85 tff(26491,plain,
% 54.68/34.85 (~v123(constB139)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[26490, 2622, 26487])).
% 54.68/34.85 tff(26492,plain,
% 54.68/34.85 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB139)) | v130(constB139, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB139)) | v130(constB139, 0))),
% 54.68/34.85 inference(rewrite,[status(thm)],[])).
% 54.68/34.85 tff(26493,plain,
% 54.68/34.85 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB139)) | v130(constB139, 0))),
% 54.68/34.85 inference(quant_inst,[status(thm)],[])).
% 54.68/34.85 tff(26494,plain,
% 54.68/34.85 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB139)) | v130(constB139, 0)),
% 54.68/34.85 inference(modus_ponens,[status(thm)],[26493, 26492])).
% 54.68/34.85 tff(26495,plain,
% 54.68/34.85 (~v119(constB139)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[26494, 1333, 26487])).
% 54.68/34.85 tff(26496,plain,
% 54.68/34.85 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB139)) | v130(constB139, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB139)) | v130(constB139, 0))),
% 54.68/34.85 inference(rewrite,[status(thm)],[])).
% 54.68/34.85 tff(26497,plain,
% 54.68/34.85 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB139)) | v130(constB139, 0))),
% 54.68/34.85 inference(quant_inst,[status(thm)],[])).
% 54.68/34.85 tff(26498,plain,
% 54.68/34.85 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB139)) | v130(constB139, 0)),
% 54.68/34.85 inference(modus_ponens,[status(thm)],[26497, 26496])).
% 54.68/34.85 tff(26499,plain,
% 54.68/34.85 (~v121(constB139)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[26498, 1915, 26487])).
% 54.68/34.85 tff(26500,plain,
% 54.68/34.85 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | ((~v122(constB139)) | v90(constB139, 0))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | (~v122(constB139)) | v90(constB139, 0))),
% 54.68/34.85 inference(rewrite,[status(thm)],[])).
% 54.68/34.85 tff(26501,plain,
% 54.68/34.85 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | ((~v122(constB139)) | v90(constB139, 0))),
% 54.68/34.85 inference(quant_inst,[status(thm)],[])).
% 54.68/34.85 tff(26502,plain,
% 54.68/34.85 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | (~v122(constB139)) | v90(constB139, 0)),
% 54.68/34.85 inference(modus_ponens,[status(thm)],[26501, 26500])).
% 54.68/34.85 tff(26503,plain,
% 54.68/34.85 (~v122(constB139)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[26502, 6851, 26482])).
% 54.68/34.85 tff(26504,plain,
% 54.68/34.85 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | ((~v120(constB139)) | v90(constB139, 0))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | (~v120(constB139)) | v90(constB139, 0))),
% 54.68/34.85 inference(rewrite,[status(thm)],[])).
% 54.68/34.85 tff(26505,plain,
% 54.68/34.85 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | ((~v120(constB139)) | v90(constB139, 0))),
% 54.68/34.85 inference(quant_inst,[status(thm)],[])).
% 54.68/34.85 tff(26506,plain,
% 54.68/34.85 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | (~v120(constB139)) | v90(constB139, 0)),
% 54.68/34.85 inference(modus_ponens,[status(thm)],[26505, 26504])).
% 54.68/34.85 tff(26507,plain,
% 54.68/34.85 (~v120(constB139)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[26506, 16200, 26482])).
% 54.68/34.85 tff(26508,plain,
% 54.68/34.85 (v119(constB139) | v120(constB139) | v121(constB139) | v122(constB139) | v123(constB139) | v124(constB139)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[24032, 3413, 26487])).
% 54.68/34.85 tff(26509,plain,
% 54.68/34.85 ($false),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[26508, 26507, 26503, 26499, 26495, 26491, 26486])).
% 54.68/34.85 tff(26510,plain,(v90(constB139, 0) | v130(constB139, 0)), inference(lemma,lemma(discharge,[]))).
% 54.68/34.85 tff(26511,plain,
% 54.68/34.85 (v130(constB139, 0)),
% 54.68/34.85 inference(unit_resolution,[status(thm)],[26510, 26482])).
% 54.68/34.85 tff(26512,plain,
% 54.68/34.85 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB139)) | (~v130(constB139, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB139)) | (~v130(constB139, 0)))),
% 54.68/34.85 inference(rewrite,[status(thm)],[])).
% 54.68/34.86 tff(26513,plain,
% 54.68/34.86 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB139)) | (~v130(constB139, 0)))),
% 54.68/34.86 inference(quant_inst,[status(thm)],[])).
% 54.68/34.86 tff(26514,plain,
% 54.68/34.86 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB139)) | (~v130(constB139, 0))),
% 54.68/34.86 inference(modus_ponens,[status(thm)],[26513, 26512])).
% 54.68/34.86 tff(26515,plain,
% 54.68/34.86 (~v120(constB139)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26514, 1657, 26511])).
% 54.68/34.86 tff(26516,plain,
% 54.68/34.86 (~v122(constB139)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[23879, 2407, 26511])).
% 54.68/34.86 tff(26517,plain,
% 54.68/34.86 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB139)) | (~v130(constB139, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB139)) | (~v130(constB139, 0)))),
% 54.68/34.86 inference(rewrite,[status(thm)],[])).
% 54.68/34.86 tff(26518,plain,
% 54.68/34.86 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB139)) | (~v130(constB139, 0)))),
% 54.68/34.86 inference(quant_inst,[status(thm)],[])).
% 54.68/34.86 tff(26519,plain,
% 54.68/34.86 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB139)) | (~v130(constB139, 0))),
% 54.68/34.86 inference(modus_ponens,[status(thm)],[26518, 26517])).
% 54.68/34.86 tff(26520,plain,
% 54.68/34.86 (~v124(constB139)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26519, 3274, 26511])).
% 54.68/34.86 tff(26521,assumption,(~v90(constB139, 2)), introduced(assumption)).
% 54.68/34.86 tff(26522,assumption,(~v117(constB139)), introduced(assumption)).
% 54.68/34.86 tff(26523,plain,
% 54.68/34.86 (~v118(constB139)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[23989, 993, 26522])).
% 54.68/34.86 tff(26524,plain,
% 54.68/34.86 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB139)) | v117(constB139))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB139)) | v117(constB139))),
% 54.68/34.86 inference(rewrite,[status(thm)],[])).
% 54.68/34.86 tff(26525,plain,
% 54.68/34.86 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB139)) | v117(constB139))),
% 54.68/34.86 inference(quant_inst,[status(thm)],[])).
% 54.68/34.86 tff(26526,plain,
% 54.68/34.86 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB139)) | v117(constB139)),
% 54.68/34.86 inference(modus_ponens,[status(thm)],[26525, 26524])).
% 54.68/34.86 tff(26527,plain,
% 54.68/34.86 (~v121(constB139)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26526, 1742, 26522])).
% 54.68/34.86 tff(26528,assumption,(~v119(constB139)), introduced(assumption)).
% 54.68/34.86 tff(26529,assumption,(~v121(constB139)), introduced(assumption)).
% 54.68/34.86 tff(26530,plain,
% 54.68/34.86 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB139, 0) | (~v90(constB139, 1)) | v90(constB139, 2) | v121(constB139))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB139, 0) | (~v90(constB139, 1)) | v90(constB139, 2) | v121(constB139))),
% 54.68/34.86 inference(rewrite,[status(thm)],[])).
% 54.68/34.86 tff(26531,plain,
% 54.68/34.86 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB139, 0) | (~v90(constB139, 1)) | v90(constB139, 2) | v121(constB139))),
% 54.68/34.86 inference(quant_inst,[status(thm)],[])).
% 54.68/34.86 tff(26532,plain,
% 54.68/34.86 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB139, 0) | (~v90(constB139, 1)) | v90(constB139, 2) | v121(constB139)),
% 54.68/34.86 inference(modus_ponens,[status(thm)],[26531, 26530])).
% 54.68/34.86 tff(26533,plain,
% 54.68/34.86 ((~v90(constB139, 1)) | v90(constB139, 2) | v121(constB139)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26532, 1731, 26482])).
% 54.68/34.86 tff(26534,plain,
% 54.68/34.86 (~v90(constB139, 1)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26533, 26521, 26529])).
% 54.68/34.86 tff(26535,plain,
% 54.68/34.86 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB139, 0) | v90(constB139, 1) | v90(constB139, 2) | v119(constB139))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB139, 0) | v90(constB139, 1) | v90(constB139, 2) | v119(constB139))),
% 54.68/34.86 inference(rewrite,[status(thm)],[])).
% 54.68/34.86 tff(26536,plain,
% 54.68/34.86 ((v90(constB139, 0) | v119(constB139) | v90(constB139, 1) | v90(constB139, 2)) <=> (v90(constB139, 0) | v90(constB139, 1) | v90(constB139, 2) | v119(constB139))),
% 54.68/34.86 inference(rewrite,[status(thm)],[])).
% 54.68/34.86 tff(26537,plain,
% 54.68/34.86 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB139, 0) | v119(constB139) | v90(constB139, 1) | v90(constB139, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB139, 0) | v90(constB139, 1) | v90(constB139, 2) | v119(constB139)))),
% 54.68/34.86 inference(monotonicity,[status(thm)],[26536])).
% 54.68/34.86 tff(26538,plain,
% 54.68/34.86 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB139, 0) | v119(constB139) | v90(constB139, 1) | v90(constB139, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB139, 0) | v90(constB139, 1) | v90(constB139, 2) | v119(constB139))),
% 54.68/34.86 inference(transitivity,[status(thm)],[26537, 26535])).
% 54.68/34.86 tff(26539,plain,
% 54.68/34.86 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB139, 0) | v119(constB139) | v90(constB139, 1) | v90(constB139, 2))),
% 54.68/34.86 inference(quant_inst,[status(thm)],[])).
% 54.68/34.86 tff(26540,plain,
% 54.68/34.86 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB139, 0) | v90(constB139, 1) | v90(constB139, 2) | v119(constB139)),
% 54.68/34.86 inference(modus_ponens,[status(thm)],[26539, 26538])).
% 54.68/34.86 tff(26541,plain,
% 54.68/34.86 (v90(constB139, 1) | v90(constB139, 2) | v119(constB139)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26540, 968, 26482])).
% 54.68/34.86 tff(26542,plain,
% 54.68/34.86 ($false),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26541, 26534, 26521, 26528])).
% 54.68/34.86 tff(26543,plain,(v90(constB139, 2) | v119(constB139) | v90(constB139, 0) | v121(constB139)), inference(lemma,lemma(discharge,[]))).
% 54.68/34.86 tff(26544,plain,
% 54.68/34.86 (v119(constB139)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26543, 26527, 26482, 26521])).
% 54.68/34.86 tff(26545,plain,
% 54.68/34.86 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB139)) | v118(constB139))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB139)) | v118(constB139))),
% 54.68/34.86 inference(rewrite,[status(thm)],[])).
% 54.68/34.86 tff(26546,plain,
% 54.68/34.86 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB139)) | v118(constB139))),
% 54.68/34.86 inference(quant_inst,[status(thm)],[])).
% 54.68/34.86 tff(26547,plain,
% 54.68/34.86 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB139)) | v118(constB139)),
% 54.68/34.86 inference(modus_ponens,[status(thm)],[26546, 26545])).
% 54.68/34.86 tff(26548,plain,
% 54.68/34.86 ($false),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26547, 982, 26544, 26523])).
% 54.68/34.86 tff(26549,plain,(v117(constB139) | v90(constB139, 0) | v90(constB139, 2)), inference(lemma,lemma(discharge,[]))).
% 54.68/34.86 tff(26550,plain,
% 54.68/34.86 (v117(constB139)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26549, 26521, 26482])).
% 54.68/34.86 tff(26551,plain,
% 54.68/34.86 (v116(constB139)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[23982, 1007, 26550])).
% 54.68/34.86 tff(26552,plain,
% 54.68/34.86 (v115(constB139)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[23975, 1021, 26551])).
% 54.68/34.86 tff(26553,plain,
% 54.68/34.86 (v114(constB139)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[23968, 1035, 26552])).
% 54.68/34.86 tff(26554,plain,
% 54.68/34.86 (v113(constB139)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[23964, 1049, 26553])).
% 54.68/34.86 tff(26555,plain,
% 54.68/34.86 (v112(constB139) | (~v113(constB139))),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[23957, 1063, 23863])).
% 54.68/34.86 tff(26556,plain,
% 54.68/34.86 (v112(constB139)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26555, 26554])).
% 54.68/34.86 tff(26557,plain,
% 54.68/34.86 (v108(constB139)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[23943, 1075, 26556])).
% 54.68/34.86 tff(26558,plain,
% 54.68/34.86 (v110(constB140)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[23936, 26557])).
% 54.68/34.86 tff(26559,plain,
% 54.68/34.86 (v100(constB140)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[23928, 26558])).
% 54.68/34.86 tff(26560,plain,
% 54.68/34.86 ((~v130(constB139, 0)) | v127(constB139, 0)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[24027, 1347, 23863])).
% 54.68/34.86 tff(26561,plain,
% 54.68/34.86 (v127(constB139, 0)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26560, 26511])).
% 54.68/34.86 tff(26562,plain,
% 54.68/34.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB139, constB140)) | (~v127(constB139, 0)) | v129(constB140, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB139, constB140)) | (~v127(constB139, 0)) | v129(constB140, 0))),
% 54.68/34.86 inference(rewrite,[status(thm)],[])).
% 54.68/34.86 tff(26563,plain,
% 54.68/34.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB139, constB140)) | (~v127(constB139, 0)) | v129(constB140, 0))),
% 54.68/34.86 inference(quant_inst,[status(thm)],[])).
% 54.68/34.86 tff(26564,plain,
% 54.68/34.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB139, constB140)) | (~v127(constB139, 0)) | v129(constB140, 0)),
% 54.68/34.86 inference(modus_ponens,[status(thm)],[26563, 26562])).
% 54.68/34.86 tff(26565,plain,
% 54.68/34.86 ((~v127(constB139, 0)) | v129(constB140, 0)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26564, 1362, 23871])).
% 54.68/34.86 tff(26566,plain,
% 54.68/34.86 (v129(constB140, 0)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26565, 26561])).
% 54.68/34.86 tff(26567,plain,
% 54.68/34.86 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB140, 0) | (~v129(constB140, 0)) | (~v100(constB140)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB140, 0) | (~v129(constB140, 0)) | (~v100(constB140)))),
% 54.68/34.86 inference(rewrite,[status(thm)],[])).
% 54.68/34.86 tff(26568,plain,
% 54.68/34.86 ((v90(constB140, 0) | (~v100(constB140)) | (~v129(constB140, 0))) <=> (v90(constB140, 0) | (~v129(constB140, 0)) | (~v100(constB140)))),
% 54.68/34.86 inference(rewrite,[status(thm)],[])).
% 54.68/34.86 tff(26569,plain,
% 54.68/34.86 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB140, 0) | (~v100(constB140)) | (~v129(constB140, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB140, 0) | (~v129(constB140, 0)) | (~v100(constB140))))),
% 54.68/34.86 inference(monotonicity,[status(thm)],[26568])).
% 54.68/34.86 tff(26570,plain,
% 54.68/34.86 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB140, 0) | (~v100(constB140)) | (~v129(constB140, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB140, 0) | (~v129(constB140, 0)) | (~v100(constB140)))),
% 54.68/34.86 inference(transitivity,[status(thm)],[26569, 26567])).
% 54.68/34.86 tff(26571,plain,
% 54.68/34.86 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB140, 0) | (~v100(constB140)) | (~v129(constB140, 0)))),
% 54.68/34.86 inference(quant_inst,[status(thm)],[])).
% 54.68/34.86 tff(26572,plain,
% 54.68/34.86 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB140, 0) | (~v129(constB140, 0)) | (~v100(constB140))),
% 54.68/34.86 inference(modus_ponens,[status(thm)],[26571, 26570])).
% 54.68/34.86 tff(26573,plain,
% 54.68/34.86 (v90(constB140, 0) | (~v100(constB140))),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26572, 1377, 26566])).
% 54.68/34.86 tff(26574,plain,
% 54.68/34.86 (v90(constB140, 0)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26573, 26559])).
% 54.68/34.86 tff(26575,plain,
% 54.68/34.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB140, 0)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB140, 0)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, 0))),
% 54.68/34.86 inference(rewrite,[status(thm)],[])).
% 54.68/34.86 tff(26576,plain,
% 54.68/34.86 (((~nextState(constB140, constB141)) | (~v90(constB140, 0)) | v100(constB141) | v90(constB141, 0)) <=> ((~v90(constB140, 0)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, 0))),
% 54.68/34.86 inference(rewrite,[status(thm)],[])).
% 54.68/34.86 tff(26577,plain,
% 54.68/34.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB140, constB141)) | (~v90(constB140, 0)) | v100(constB141) | v90(constB141, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB140, 0)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, 0)))),
% 54.68/34.86 inference(monotonicity,[status(thm)],[26576])).
% 54.68/34.86 tff(26578,plain,
% 54.68/34.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB140, constB141)) | (~v90(constB140, 0)) | v100(constB141) | v90(constB141, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB140, 0)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, 0))),
% 54.68/34.86 inference(transitivity,[status(thm)],[26577, 26575])).
% 54.68/34.86 tff(26579,plain,
% 54.68/34.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB140, constB141)) | (~v90(constB140, 0)) | v100(constB141) | v90(constB141, 0))),
% 54.68/34.86 inference(quant_inst,[status(thm)],[])).
% 54.68/34.86 tff(26580,plain,
% 54.68/34.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB140, 0)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, 0)),
% 54.68/34.86 inference(modus_ponens,[status(thm)],[26579, 26578])).
% 54.68/34.86 tff(26581,plain,
% 54.68/34.86 ((~v90(constB140, 0)) | v100(constB141) | v90(constB141, 0)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26580, 1395, 24064])).
% 54.68/34.86 tff(26582,plain,
% 54.68/34.86 ((~v90(constB140, 0)) | v90(constB141, 0)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26581, 24076])).
% 54.68/34.86 tff(26583,plain,
% 54.68/34.86 (v90(constB141, 0)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26582, 26574])).
% 54.68/34.86 tff(26584,assumption,(v119(constB139)), introduced(assumption)).
% 54.68/34.86 tff(26585,plain,
% 54.68/34.86 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB139)) | (~v130(constB139, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB139)) | (~v130(constB139, 1)))),
% 54.68/34.86 inference(rewrite,[status(thm)],[])).
% 54.68/34.86 tff(26586,plain,
% 54.68/34.86 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB139)) | (~v130(constB139, 1)))),
% 54.68/34.86 inference(quant_inst,[status(thm)],[])).
% 54.68/34.86 tff(26587,plain,
% 54.68/34.86 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB139)) | (~v130(constB139, 1))),
% 54.68/34.86 inference(modus_ponens,[status(thm)],[26586, 26585])).
% 54.68/34.86 tff(26588,plain,
% 54.68/34.86 (~v130(constB139, 1)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26587, 1262, 26584])).
% 54.68/34.86 tff(26589,plain,
% 54.68/34.86 (~v127(constB139, 1)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[24096, 26588])).
% 54.68/34.86 tff(26590,plain,
% 54.68/34.86 (~v129(constB140, 1)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[24101, 26589])).
% 54.68/34.86 tff(26591,assumption,(v100(constB140)), introduced(assumption)).
% 54.68/34.86 tff(26592,plain,
% 54.68/34.86 ((~v90(constB140, 1)) | v129(constB140, 1)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[24108, 1309, 26591])).
% 54.68/34.86 tff(26593,plain,
% 54.68/34.86 (~v90(constB140, 1)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26592, 26590])).
% 54.68/34.86 tff(26594,plain,
% 54.68/34.86 (~v90(constB141, 1)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[24117, 26593])).
% 54.68/34.86 tff(26595,plain,
% 54.68/34.86 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB139)) | (~v130(constB139, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB139)) | (~v130(constB139, 2)))),
% 54.68/34.86 inference(rewrite,[status(thm)],[])).
% 54.68/34.86 tff(26596,plain,
% 54.68/34.86 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB139)) | (~v130(constB139, 2)))),
% 54.68/34.86 inference(quant_inst,[status(thm)],[])).
% 54.68/34.86 tff(26597,plain,
% 54.68/34.86 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB139)) | (~v130(constB139, 2))),
% 54.68/34.86 inference(modus_ponens,[status(thm)],[26596, 26595])).
% 54.68/34.86 tff(26598,plain,
% 54.68/34.86 (~v130(constB139, 2)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26597, 1176, 26584])).
% 54.68/34.86 tff(26599,plain,
% 54.68/34.86 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB139, 2)) | v26(constB139) | v130(constB139, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB139, 2)) | v26(constB139) | v130(constB139, 2))),
% 54.68/34.86 inference(rewrite,[status(thm)],[])).
% 54.68/34.86 tff(26600,plain,
% 54.68/34.86 ((v26(constB139) | v130(constB139, 2) | (~v127(constB139, 2))) <=> ((~v127(constB139, 2)) | v26(constB139) | v130(constB139, 2))),
% 54.68/34.86 inference(rewrite,[status(thm)],[])).
% 54.68/34.86 tff(26601,plain,
% 54.68/34.86 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB139) | v130(constB139, 2) | (~v127(constB139, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB139, 2)) | v26(constB139) | v130(constB139, 2)))),
% 54.68/34.86 inference(monotonicity,[status(thm)],[26600])).
% 54.68/34.86 tff(26602,plain,
% 54.68/34.86 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB139) | v130(constB139, 2) | (~v127(constB139, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB139, 2)) | v26(constB139) | v130(constB139, 2))),
% 54.68/34.86 inference(transitivity,[status(thm)],[26601, 26599])).
% 54.68/34.86 tff(26603,plain,
% 54.68/34.86 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB139) | v130(constB139, 2) | (~v127(constB139, 2)))),
% 54.68/34.86 inference(quant_inst,[status(thm)],[])).
% 54.68/34.86 tff(26604,plain,
% 54.68/34.86 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB139, 2)) | v26(constB139) | v130(constB139, 2)),
% 54.68/34.86 inference(modus_ponens,[status(thm)],[26603, 26602])).
% 54.68/34.86 tff(26605,plain,
% 54.68/34.86 ((~v127(constB139, 2)) | v130(constB139, 2)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26604, 1190, 23863])).
% 54.68/34.86 tff(26606,plain,
% 54.68/34.86 (~v127(constB139, 2)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26605, 26598])).
% 54.68/34.86 tff(26607,plain,
% 54.68/34.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB139, constB140)) | v127(constB139, 2) | (~v129(constB140, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB139, constB140)) | v127(constB139, 2) | (~v129(constB140, 2)))),
% 54.68/34.86 inference(rewrite,[status(thm)],[])).
% 54.68/34.86 tff(26608,plain,
% 54.68/34.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB139, constB140)) | v127(constB139, 2) | (~v129(constB140, 2)))),
% 54.68/34.86 inference(quant_inst,[status(thm)],[])).
% 54.68/34.86 tff(26609,plain,
% 54.68/34.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB139, constB140)) | v127(constB139, 2) | (~v129(constB140, 2))),
% 54.68/34.86 inference(modus_ponens,[status(thm)],[26608, 26607])).
% 54.68/34.86 tff(26610,plain,
% 54.68/34.86 (v127(constB139, 2) | (~v129(constB140, 2))),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26609, 1208, 23871])).
% 54.68/34.86 tff(26611,plain,
% 54.68/34.86 (~v129(constB140, 2)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26610, 26606])).
% 54.68/34.86 tff(26612,plain,
% 54.68/34.86 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB140, 2)) | v129(constB140, 2) | (~v100(constB140)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB140, 2)) | v129(constB140, 2) | (~v100(constB140)))),
% 54.68/34.86 inference(rewrite,[status(thm)],[])).
% 54.68/34.86 tff(26613,plain,
% 54.68/34.86 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB140, 2)) | v129(constB140, 2) | (~v100(constB140)))),
% 54.68/34.86 inference(quant_inst,[status(thm)],[])).
% 54.68/34.86 tff(26614,plain,
% 54.68/34.86 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB140, 2)) | v129(constB140, 2) | (~v100(constB140))),
% 54.68/34.86 inference(modus_ponens,[status(thm)],[26613, 26612])).
% 54.68/34.86 tff(26615,plain,
% 54.68/34.86 ((~v90(constB140, 2)) | v129(constB140, 2)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26614, 1223, 26591])).
% 54.68/34.86 tff(26616,plain,
% 54.68/34.86 (~v90(constB140, 2)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26615, 26611])).
% 54.68/34.86 tff(26617,plain,
% 54.68/34.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB140, 2) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB140, 2) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, 2)))),
% 54.68/34.86 inference(rewrite,[status(thm)],[])).
% 54.68/34.86 tff(26618,plain,
% 54.68/34.86 (((~nextState(constB140, constB141)) | v90(constB140, 2) | v100(constB141) | (~v90(constB141, 2))) <=> (v90(constB140, 2) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, 2)))),
% 54.68/34.86 inference(rewrite,[status(thm)],[])).
% 54.68/34.86 tff(26619,plain,
% 54.68/34.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB140, constB141)) | v90(constB140, 2) | v100(constB141) | (~v90(constB141, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB140, 2) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, 2))))),
% 54.68/34.86 inference(monotonicity,[status(thm)],[26618])).
% 54.68/34.86 tff(26620,plain,
% 54.68/34.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB140, constB141)) | v90(constB140, 2) | v100(constB141) | (~v90(constB141, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB140, 2) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, 2)))),
% 54.68/34.86 inference(transitivity,[status(thm)],[26619, 26617])).
% 54.68/34.86 tff(26621,plain,
% 54.68/34.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB140, constB141)) | v90(constB140, 2) | v100(constB141) | (~v90(constB141, 2)))),
% 54.68/34.86 inference(quant_inst,[status(thm)],[])).
% 54.68/34.86 tff(26622,plain,
% 54.68/34.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB140, 2) | (~nextState(constB140, constB141)) | v100(constB141) | (~v90(constB141, 2))),
% 54.68/34.86 inference(modus_ponens,[status(thm)],[26621, 26620])).
% 54.68/34.86 tff(26623,plain,
% 54.68/34.86 (v90(constB140, 2) | v100(constB141) | (~v90(constB141, 2))),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26622, 905, 24064])).
% 54.68/34.86 tff(26624,plain,
% 54.68/34.86 (v90(constB140, 2) | (~v90(constB141, 2))),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26623, 24076])).
% 54.68/34.86 tff(26625,plain,
% 54.68/34.86 (~v90(constB141, 2)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26624, 26616])).
% 54.68/34.86 tff(26626,assumption,(v90(constB141, 0)), introduced(assumption)).
% 54.68/34.86 tff(26627,plain,
% 54.68/34.86 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB141, 0)) | v90(constB141, 1) | v90(constB141, 2) | v120(constB141))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB141, 0)) | v90(constB141, 1) | v90(constB141, 2) | v120(constB141))),
% 54.68/34.86 inference(rewrite,[status(thm)],[])).
% 54.68/34.86 tff(26628,plain,
% 54.68/34.86 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB141, 0)) | v90(constB141, 1) | v90(constB141, 2) | v120(constB141))),
% 54.68/34.86 inference(quant_inst,[status(thm)],[])).
% 54.68/34.86 tff(26629,plain,
% 54.68/34.86 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB141, 0)) | v90(constB141, 1) | v90(constB141, 2) | v120(constB141)),
% 54.68/34.86 inference(modus_ponens,[status(thm)],[26628, 26627])).
% 54.68/34.86 tff(26630,plain,
% 54.68/34.86 (v90(constB141, 1) | v90(constB141, 2) | v120(constB141)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26629, 1414, 26626])).
% 54.68/34.86 tff(26631,plain,
% 54.68/34.86 (v120(constB141)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26630, 26625, 26594])).
% 54.68/34.86 tff(26632,plain,
% 54.68/34.86 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB141)) | (~v130(constB141, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB141)) | (~v130(constB141, 0)))),
% 54.68/34.86 inference(rewrite,[status(thm)],[])).
% 54.68/34.86 tff(26633,plain,
% 54.68/34.86 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB141)) | (~v130(constB141, 0)))),
% 54.68/34.86 inference(quant_inst,[status(thm)],[])).
% 54.68/34.86 tff(26634,plain,
% 54.68/34.86 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB141)) | (~v130(constB141, 0))),
% 54.68/34.86 inference(modus_ponens,[status(thm)],[26633, 26632])).
% 54.68/34.86 tff(26635,plain,
% 54.68/34.86 (~v130(constB141, 0)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26634, 1657, 26631])).
% 54.68/34.86 tff(26636,plain,
% 54.68/34.86 (v100(constB142)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26427, 26594, 26418])).
% 54.68/34.86 tff(26637,plain,
% 54.68/34.86 (v129(constB142, 1) | (~v100(constB142))),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[24275, 1309, 26418])).
% 54.68/34.86 tff(26638,plain,
% 54.68/34.86 (v129(constB142, 1)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26637, 26636])).
% 54.68/34.86 tff(26639,plain,
% 54.68/34.86 (v127(constB141, 1)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[24268, 26638])).
% 54.68/34.86 tff(26640,plain,
% 54.68/34.86 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))) | ((~v26(constB141)) | (~v127(constB141, 1)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))) | (~v26(constB141)) | (~v127(constB141, 1)))),
% 54.68/34.86 inference(rewrite,[status(thm)],[])).
% 54.68/34.86 tff(26641,plain,
% 54.68/34.86 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))) | ((~v26(constB141)) | (~v127(constB141, 1)))),
% 54.68/34.86 inference(quant_inst,[status(thm)],[])).
% 54.68/34.86 tff(26642,plain,
% 54.68/34.86 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))) | (~v26(constB141)) | (~v127(constB141, 1))),
% 54.68/34.86 inference(modus_ponens,[status(thm)],[26641, 26640])).
% 54.68/34.86 tff(26643,plain,
% 54.68/34.86 (~v26(constB141)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26642, 6104, 26639])).
% 54.68/34.86 tff(26644,plain,
% 54.68/34.86 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB142, 0)) | v129(constB142, 0) | (~v100(constB142)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB142, 0)) | v129(constB142, 0) | (~v100(constB142)))),
% 54.68/34.86 inference(rewrite,[status(thm)],[])).
% 54.68/34.86 tff(26645,plain,
% 54.68/34.86 (((~v90(constB142, 0)) | (~v100(constB142)) | v129(constB142, 0)) <=> ((~v90(constB142, 0)) | v129(constB142, 0) | (~v100(constB142)))),
% 54.68/34.86 inference(rewrite,[status(thm)],[])).
% 54.68/34.86 tff(26646,plain,
% 54.68/34.86 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB142, 0)) | (~v100(constB142)) | v129(constB142, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB142, 0)) | v129(constB142, 0) | (~v100(constB142))))),
% 54.68/34.86 inference(monotonicity,[status(thm)],[26645])).
% 54.68/34.86 tff(26647,plain,
% 54.68/34.86 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB142, 0)) | (~v100(constB142)) | v129(constB142, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB142, 0)) | v129(constB142, 0) | (~v100(constB142)))),
% 54.68/34.86 inference(transitivity,[status(thm)],[26646, 26644])).
% 54.68/34.86 tff(26648,plain,
% 54.68/34.86 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB142, 0)) | (~v100(constB142)) | v129(constB142, 0))),
% 54.68/34.86 inference(quant_inst,[status(thm)],[])).
% 54.68/34.86 tff(26649,plain,
% 54.68/34.86 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB142, 0)) | v129(constB142, 0) | (~v100(constB142))),
% 54.68/34.86 inference(modus_ponens,[status(thm)],[26648, 26647])).
% 54.68/34.86 tff(26650,plain,
% 54.68/34.86 (v129(constB142, 0) | (~v100(constB142))),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26649, 1704, 26481])).
% 54.68/34.86 tff(26651,plain,
% 54.68/34.86 (v129(constB142, 0)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26650, 26636])).
% 54.68/34.86 tff(26652,plain,
% 54.68/34.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB141, constB142)) | v127(constB141, 0) | (~v129(constB142, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB141, constB142)) | v127(constB141, 0) | (~v129(constB142, 0)))),
% 54.68/34.86 inference(rewrite,[status(thm)],[])).
% 54.68/34.86 tff(26653,plain,
% 54.68/34.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB141, constB142)) | v127(constB141, 0) | (~v129(constB142, 0)))),
% 54.68/34.86 inference(quant_inst,[status(thm)],[])).
% 54.68/34.86 tff(26654,plain,
% 54.68/34.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB141, constB142)) | v127(constB141, 0) | (~v129(constB142, 0))),
% 54.68/34.86 inference(modus_ponens,[status(thm)],[26653, 26652])).
% 54.68/34.86 tff(26655,plain,
% 54.68/34.86 (v127(constB141, 0) | (~v129(constB142, 0))),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26654, 1689, 24169])).
% 54.68/34.86 tff(26656,plain,
% 54.68/34.86 (v127(constB141, 0)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26655, 26651])).
% 54.68/34.86 tff(26657,plain,
% 54.68/34.86 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB141, 0)) | v26(constB141) | v130(constB141, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB141, 0)) | v26(constB141) | v130(constB141, 0))),
% 54.68/34.86 inference(rewrite,[status(thm)],[])).
% 54.68/34.86 tff(26658,plain,
% 54.68/34.86 ((v26(constB141) | v130(constB141, 0) | (~v127(constB141, 0))) <=> ((~v127(constB141, 0)) | v26(constB141) | v130(constB141, 0))),
% 54.68/34.86 inference(rewrite,[status(thm)],[])).
% 54.68/34.86 tff(26659,plain,
% 54.68/34.86 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB141) | v130(constB141, 0) | (~v127(constB141, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB141, 0)) | v26(constB141) | v130(constB141, 0)))),
% 54.68/34.86 inference(monotonicity,[status(thm)],[26658])).
% 54.68/34.86 tff(26660,plain,
% 54.68/34.86 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB141) | v130(constB141, 0) | (~v127(constB141, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB141, 0)) | v26(constB141) | v130(constB141, 0))),
% 54.68/34.86 inference(transitivity,[status(thm)],[26659, 26657])).
% 54.68/34.86 tff(26661,plain,
% 54.68/34.86 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB141) | v130(constB141, 0) | (~v127(constB141, 0)))),
% 54.68/34.86 inference(quant_inst,[status(thm)],[])).
% 54.68/34.86 tff(26662,plain,
% 54.68/34.86 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB141, 0)) | v26(constB141) | v130(constB141, 0)),
% 54.68/34.86 inference(modus_ponens,[status(thm)],[26661, 26660])).
% 54.68/34.86 tff(26663,plain,
% 54.68/34.86 ($false),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26662, 1671, 26656, 26643, 26635])).
% 54.68/34.86 tff(26664,plain,((~v119(constB139)) | (~v90(constB142, 0)) | (~v90(constB142, 1)) | (~v90(constB141, 0)) | (~v100(constB140))), inference(lemma,lemma(discharge,[]))).
% 54.68/34.86 tff(26665,plain,
% 54.68/34.86 (~v119(constB139)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26664, 26583, 26418, 26481, 26559])).
% 54.68/34.86 tff(26666,plain,
% 54.68/34.86 (v121(constB139)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26543, 26665, 26482, 26521])).
% 54.68/34.86 tff(26667,plain,
% 54.68/34.86 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB139)) | (~v130(constB139, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB139)) | (~v130(constB139, 2)))),
% 54.68/34.86 inference(rewrite,[status(thm)],[])).
% 54.68/34.86 tff(26668,plain,
% 54.68/34.86 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB139)) | (~v130(constB139, 2)))),
% 54.68/34.86 inference(quant_inst,[status(thm)],[])).
% 54.68/34.86 tff(26669,plain,
% 54.68/34.86 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB139)) | (~v130(constB139, 2))),
% 54.68/34.86 inference(modus_ponens,[status(thm)],[26668, 26667])).
% 54.68/34.86 tff(26670,plain,
% 54.68/34.86 (~v130(constB139, 2)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26669, 1821, 26666])).
% 54.68/34.86 tff(26671,plain,
% 54.68/34.86 (~v127(constB139, 2)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26605, 26670])).
% 54.68/34.86 tff(26672,plain,
% 54.68/34.86 (~v129(constB140, 2)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26610, 26671])).
% 54.68/34.86 tff(26673,plain,
% 54.68/34.86 ((~v90(constB140, 2)) | v129(constB140, 2)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26614, 1223, 26559])).
% 54.68/34.86 tff(26674,plain,
% 54.68/34.86 (~v90(constB140, 2)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26673, 26672])).
% 54.68/34.86 tff(26675,plain,
% 54.68/34.86 (~v90(constB141, 2)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26624, 26674])).
% 54.68/34.86 tff(26676,plain,
% 54.68/34.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB141, 2) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB141, 2) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, 2)))),
% 54.68/34.86 inference(rewrite,[status(thm)],[])).
% 54.68/34.86 tff(26677,plain,
% 54.68/34.86 (((~nextState(constB141, constB142)) | v90(constB141, 2) | v100(constB142) | (~v90(constB142, 2))) <=> (v90(constB141, 2) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, 2)))),
% 54.68/34.86 inference(rewrite,[status(thm)],[])).
% 54.68/34.86 tff(26678,plain,
% 54.68/34.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB141, constB142)) | v90(constB141, 2) | v100(constB142) | (~v90(constB142, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB141, 2) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, 2))))),
% 54.68/34.86 inference(monotonicity,[status(thm)],[26677])).
% 54.68/34.86 tff(26679,plain,
% 54.68/34.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB141, constB142)) | v90(constB141, 2) | v100(constB142) | (~v90(constB142, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB141, 2) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, 2)))),
% 54.68/34.86 inference(transitivity,[status(thm)],[26678, 26676])).
% 54.68/34.86 tff(26680,plain,
% 54.68/34.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB141, constB142)) | v90(constB141, 2) | v100(constB142) | (~v90(constB142, 2)))),
% 54.68/34.86 inference(quant_inst,[status(thm)],[])).
% 54.68/34.86 tff(26681,plain,
% 54.68/34.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB141, 2) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, 2))),
% 54.68/34.86 inference(modus_ponens,[status(thm)],[26680, 26679])).
% 54.68/34.86 tff(26682,plain,
% 54.68/34.86 (v90(constB141, 2) | v100(constB142) | (~v90(constB142, 2))),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26681, 905, 24169])).
% 54.68/34.86 tff(26683,plain,
% 54.68/34.86 (v100(constB142)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26682, 26675, 26480])).
% 54.68/34.86 tff(26684,plain,
% 54.68/34.86 (v129(constB142, 1)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26637, 26683])).
% 54.68/34.86 tff(26685,plain,
% 54.68/34.86 (v127(constB141, 1)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[24268, 26684])).
% 54.68/34.86 tff(26686,plain,
% 54.68/34.86 (~v26(constB141)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26642, 6104, 26685])).
% 54.68/34.86 tff(26687,plain,
% 54.68/34.86 (v129(constB142, 0)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26650, 26683])).
% 54.68/34.86 tff(26688,plain,
% 54.68/34.86 (v127(constB141, 0)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26655, 26687])).
% 54.68/34.86 tff(26689,plain,
% 54.68/34.86 (v130(constB141, 0)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26662, 1671, 26688, 26686])).
% 54.68/34.86 tff(26690,plain,
% 54.68/34.86 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB139)) | v130(constB139, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB139)) | v130(constB139, 1))),
% 54.68/34.86 inference(rewrite,[status(thm)],[])).
% 54.68/34.86 tff(26691,plain,
% 54.68/34.86 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB139)) | v130(constB139, 1))),
% 54.68/34.86 inference(quant_inst,[status(thm)],[])).
% 54.68/34.86 tff(26692,plain,
% 54.68/34.86 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB139)) | v130(constB139, 1)),
% 54.68/34.86 inference(modus_ponens,[status(thm)],[26691, 26690])).
% 54.68/34.86 tff(26693,plain,
% 54.68/34.86 (v130(constB139, 1)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26692, 1877, 26666])).
% 54.68/34.86 tff(26694,plain,
% 54.68/34.86 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB139) | (~v130(constB139, 1)) | v127(constB139, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB139) | (~v130(constB139, 1)) | v127(constB139, 1))),
% 54.68/34.86 inference(rewrite,[status(thm)],[])).
% 54.68/34.86 tff(26695,plain,
% 54.68/34.86 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB139) | (~v130(constB139, 1)) | v127(constB139, 1))),
% 54.68/34.86 inference(quant_inst,[status(thm)],[])).
% 54.68/34.86 tff(26696,plain,
% 54.68/34.86 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB139) | (~v130(constB139, 1)) | v127(constB139, 1)),
% 54.68/34.86 inference(modus_ponens,[status(thm)],[26695, 26694])).
% 54.68/34.86 tff(26697,plain,
% 54.68/34.86 ((~v130(constB139, 1)) | v127(constB139, 1)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26696, 1593, 23863])).
% 54.68/34.86 tff(26698,plain,
% 54.68/34.86 (v127(constB139, 1)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26697, 26693])).
% 54.68/34.86 tff(26699,plain,
% 54.68/34.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB139, constB140)) | (~v127(constB139, 1)) | v129(constB140, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB139, constB140)) | (~v127(constB139, 1)) | v129(constB140, 1))),
% 54.68/34.86 inference(rewrite,[status(thm)],[])).
% 54.68/34.86 tff(26700,plain,
% 54.68/34.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB139, constB140)) | (~v127(constB139, 1)) | v129(constB140, 1))),
% 54.68/34.86 inference(quant_inst,[status(thm)],[])).
% 54.68/34.86 tff(26701,plain,
% 54.68/34.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB139, constB140)) | (~v127(constB139, 1)) | v129(constB140, 1)),
% 54.68/34.86 inference(modus_ponens,[status(thm)],[26700, 26699])).
% 54.68/34.86 tff(26702,plain,
% 54.68/34.86 ((~v127(constB139, 1)) | v129(constB140, 1)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26701, 1608, 23871])).
% 54.68/34.86 tff(26703,plain,
% 54.68/34.86 (v129(constB140, 1)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26702, 26698])).
% 54.68/34.86 tff(26704,plain,
% 54.68/34.86 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB140, 1) | (~v129(constB140, 1)) | (~v100(constB140)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB140, 1) | (~v129(constB140, 1)) | (~v100(constB140)))),
% 54.68/34.86 inference(rewrite,[status(thm)],[])).
% 54.68/34.86 tff(26705,plain,
% 54.68/34.86 ((v90(constB140, 1) | (~v100(constB140)) | (~v129(constB140, 1))) <=> (v90(constB140, 1) | (~v129(constB140, 1)) | (~v100(constB140)))),
% 54.68/34.86 inference(rewrite,[status(thm)],[])).
% 54.68/34.86 tff(26706,plain,
% 54.68/34.86 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB140, 1) | (~v100(constB140)) | (~v129(constB140, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB140, 1) | (~v129(constB140, 1)) | (~v100(constB140))))),
% 54.68/34.86 inference(monotonicity,[status(thm)],[26705])).
% 54.68/34.86 tff(26707,plain,
% 54.68/34.86 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB140, 1) | (~v100(constB140)) | (~v129(constB140, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB140, 1) | (~v129(constB140, 1)) | (~v100(constB140)))),
% 54.68/34.86 inference(transitivity,[status(thm)],[26706, 26704])).
% 54.68/34.86 tff(26708,plain,
% 54.68/34.86 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB140, 1) | (~v100(constB140)) | (~v129(constB140, 1)))),
% 54.68/34.86 inference(quant_inst,[status(thm)],[])).
% 54.68/34.86 tff(26709,plain,
% 54.68/34.86 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB140, 1) | (~v129(constB140, 1)) | (~v100(constB140))),
% 54.68/34.86 inference(modus_ponens,[status(thm)],[26708, 26707])).
% 54.68/34.86 tff(26710,plain,
% 54.68/34.86 (v90(constB140, 1) | (~v129(constB140, 1))),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26709, 1623, 26559])).
% 54.68/34.86 tff(26711,plain,
% 54.68/34.86 (v90(constB140, 1)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26710, 26703])).
% 54.68/34.86 tff(26712,plain,
% 54.68/34.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB140, 1)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB140, 1)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, 1))),
% 54.68/34.86 inference(rewrite,[status(thm)],[])).
% 54.68/34.86 tff(26713,plain,
% 54.68/34.86 (((~nextState(constB140, constB141)) | (~v90(constB140, 1)) | v100(constB141) | v90(constB141, 1)) <=> ((~v90(constB140, 1)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, 1))),
% 54.68/34.86 inference(rewrite,[status(thm)],[])).
% 54.68/34.86 tff(26714,plain,
% 54.68/34.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB140, constB141)) | (~v90(constB140, 1)) | v100(constB141) | v90(constB141, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB140, 1)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, 1)))),
% 54.68/34.86 inference(monotonicity,[status(thm)],[26713])).
% 54.68/34.86 tff(26715,plain,
% 54.68/34.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB140, constB141)) | (~v90(constB140, 1)) | v100(constB141) | v90(constB141, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB140, 1)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, 1))),
% 54.68/34.86 inference(transitivity,[status(thm)],[26714, 26712])).
% 54.68/34.86 tff(26716,plain,
% 54.68/34.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB140, constB141)) | (~v90(constB140, 1)) | v100(constB141) | v90(constB141, 1))),
% 54.68/34.86 inference(quant_inst,[status(thm)],[])).
% 54.68/34.86 tff(26717,plain,
% 54.68/34.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB140, 1)) | (~nextState(constB140, constB141)) | v100(constB141) | v90(constB141, 1)),
% 54.68/34.86 inference(modus_ponens,[status(thm)],[26716, 26715])).
% 54.68/34.86 tff(26718,plain,
% 54.68/34.86 ((~v90(constB140, 1)) | v100(constB141) | v90(constB141, 1)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26717, 1641, 24064])).
% 54.68/34.86 tff(26719,plain,
% 54.68/34.86 ((~v90(constB140, 1)) | v90(constB141, 1)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26718, 24076])).
% 54.68/34.86 tff(26720,plain,
% 54.68/34.86 (v90(constB141, 1)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26719, 26711])).
% 54.68/34.86 tff(26721,plain,
% 54.68/34.86 ((~v90(constB141, 1)) | v90(constB141, 2) | v122(constB141)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26469, 1956, 26583])).
% 54.68/34.86 tff(26722,plain,
% 54.68/34.86 (v122(constB141)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26721, 26675, 26720])).
% 54.68/34.86 tff(26723,plain,
% 54.68/34.86 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB141)) | (~v130(constB141, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB141)) | (~v130(constB141, 0)))),
% 54.68/34.86 inference(rewrite,[status(thm)],[])).
% 54.68/34.86 tff(26724,plain,
% 54.68/34.86 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB141)) | (~v130(constB141, 0)))),
% 54.68/34.86 inference(quant_inst,[status(thm)],[])).
% 54.68/34.86 tff(26725,plain,
% 54.68/34.86 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB141)) | (~v130(constB141, 0))),
% 54.68/34.86 inference(modus_ponens,[status(thm)],[26724, 26723])).
% 54.68/34.86 tff(26726,plain,
% 54.68/34.86 ($false),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26725, 2407, 26722, 26689])).
% 54.68/34.86 tff(26727,plain,(v90(constB139, 2) | (~v90(constB142, 0)) | (~v90(constB142, 1)) | (~v90(constB142, 2)) | v90(constB139, 0)), inference(lemma,lemma(discharge,[]))).
% 54.68/34.86 tff(26728,plain,
% 54.68/34.86 (v90(constB139, 2)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26727, 26482, 26418, 26480, 26481])).
% 54.68/34.86 tff(26729,plain,
% 54.68/34.86 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB139)) | (~v90(constB139, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB139)) | (~v90(constB139, 2)))),
% 54.68/34.86 inference(rewrite,[status(thm)],[])).
% 54.68/34.86 tff(26730,plain,
% 54.68/34.86 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB139)) | (~v90(constB139, 2)))),
% 54.68/34.86 inference(quant_inst,[status(thm)],[])).
% 54.68/34.86 tff(26731,plain,
% 54.68/34.86 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB139)) | (~v90(constB139, 2))),
% 54.68/34.86 inference(modus_ponens,[status(thm)],[26730, 26729])).
% 54.68/34.86 tff(26732,plain,
% 54.68/34.86 (~v121(constB139)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26731, 2857, 26728])).
% 54.68/34.86 tff(26733,plain,
% 54.68/34.86 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v119(constB139)) | (~v90(constB139, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | (~v119(constB139)) | (~v90(constB139, 2)))),
% 54.68/34.86 inference(rewrite,[status(thm)],[])).
% 54.68/34.86 tff(26734,plain,
% 54.68/34.86 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v119(constB139)) | (~v90(constB139, 2)))),
% 54.68/34.86 inference(quant_inst,[status(thm)],[])).
% 54.68/34.86 tff(26735,plain,
% 54.68/34.86 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | (~v119(constB139)) | (~v90(constB139, 2))),
% 54.68/34.86 inference(modus_ponens,[status(thm)],[26734, 26733])).
% 54.68/34.86 tff(26736,plain,
% 54.68/34.86 (~v119(constB139)),
% 54.68/34.86 inference(unit_resolution,[status(thm)],[26735, 3814, 26728])).
% 54.68/34.87 tff(26737,assumption,(~v100(constB140)), introduced(assumption)).
% 54.68/34.87 tff(26738,plain,
% 54.68/34.87 (~v90(constB140, 0)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[24011, 26737, 26482])).
% 54.68/34.87 tff(26739,plain,
% 54.68/34.87 (~v90(constB141, 0)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[24126, 26738])).
% 54.68/34.87 tff(26740,plain,
% 54.68/34.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB141, 0) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB141, 0) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, 0)))),
% 54.68/34.87 inference(rewrite,[status(thm)],[])).
% 54.68/34.87 tff(26741,plain,
% 54.68/34.87 (((~nextState(constB141, constB142)) | v90(constB141, 0) | v100(constB142) | (~v90(constB142, 0))) <=> (v90(constB141, 0) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, 0)))),
% 54.68/34.87 inference(rewrite,[status(thm)],[])).
% 54.68/34.87 tff(26742,plain,
% 54.68/34.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB141, constB142)) | v90(constB141, 0) | v100(constB142) | (~v90(constB142, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB141, 0) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, 0))))),
% 54.68/34.87 inference(monotonicity,[status(thm)],[26741])).
% 54.68/34.87 tff(26743,plain,
% 54.68/34.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB141, constB142)) | v90(constB141, 0) | v100(constB142) | (~v90(constB142, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB141, 0) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, 0)))),
% 54.68/34.87 inference(transitivity,[status(thm)],[26742, 26740])).
% 54.68/34.87 tff(26744,plain,
% 54.68/34.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB141, constB142)) | v90(constB141, 0) | v100(constB142) | (~v90(constB142, 0)))),
% 54.68/34.87 inference(quant_inst,[status(thm)],[])).
% 54.68/34.87 tff(26745,plain,
% 54.68/34.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB141, 0) | (~nextState(constB141, constB142)) | v100(constB142) | (~v90(constB142, 0))),
% 54.68/34.87 inference(modus_ponens,[status(thm)],[26744, 26743])).
% 54.68/34.87 tff(26746,plain,
% 54.68/34.87 (v90(constB141, 0) | v100(constB142) | (~v90(constB142, 0))),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26745, 947, 24169])).
% 54.68/34.87 tff(26747,plain,
% 54.68/34.87 (v100(constB142)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26746, 26739, 26481])).
% 54.68/34.87 tff(26748,plain,
% 54.68/34.87 (v129(constB142, 1)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26637, 26747])).
% 54.68/34.87 tff(26749,plain,
% 54.68/34.87 (v127(constB141, 1)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[24268, 26748])).
% 54.68/34.87 tff(26750,plain,
% 54.68/34.87 (~v26(constB141)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26642, 6104, 26749])).
% 54.68/34.87 tff(26751,plain,
% 54.68/34.87 (v130(constB141, 1)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[24262, 1276, 26749, 26750])).
% 54.68/34.87 tff(26752,plain,
% 54.68/34.87 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB141)) | v90(constB141, 0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB141)) | v90(constB141, 0))),
% 54.68/34.87 inference(rewrite,[status(thm)],[])).
% 54.68/34.87 tff(26753,plain,
% 54.68/34.87 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB141)) | v90(constB141, 0))),
% 54.68/34.87 inference(quant_inst,[status(thm)],[])).
% 54.68/34.87 tff(26754,plain,
% 54.68/34.87 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB141)) | v90(constB141, 0)),
% 54.68/34.87 inference(modus_ponens,[status(thm)],[26753, 26752])).
% 54.68/34.87 tff(26755,plain,
% 54.68/34.87 (~v124(constB141)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26754, 6692, 26739])).
% 54.68/34.87 tff(26756,assumption,(v90(constB139, 2)), introduced(assumption)).
% 54.68/34.87 tff(26757,plain,
% 54.68/34.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB139, 2)) | (~nextState(constB139, constB140)) | v100(constB140) | v90(constB140, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB139, 2)) | (~nextState(constB139, constB140)) | v100(constB140) | v90(constB140, 2))),
% 54.68/34.87 inference(rewrite,[status(thm)],[])).
% 54.68/34.87 tff(26758,plain,
% 54.68/34.87 (((~nextState(constB139, constB140)) | (~v90(constB139, 2)) | v100(constB140) | v90(constB140, 2)) <=> ((~v90(constB139, 2)) | (~nextState(constB139, constB140)) | v100(constB140) | v90(constB140, 2))),
% 54.68/34.87 inference(rewrite,[status(thm)],[])).
% 54.68/34.87 tff(26759,plain,
% 54.68/34.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB139, constB140)) | (~v90(constB139, 2)) | v100(constB140) | v90(constB140, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB139, 2)) | (~nextState(constB139, constB140)) | v100(constB140) | v90(constB140, 2)))),
% 54.68/34.87 inference(monotonicity,[status(thm)],[26758])).
% 54.68/34.87 tff(26760,plain,
% 54.68/34.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB139, constB140)) | (~v90(constB139, 2)) | v100(constB140) | v90(constB140, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB139, 2)) | (~nextState(constB139, constB140)) | v100(constB140) | v90(constB140, 2))),
% 54.68/34.87 inference(transitivity,[status(thm)],[26759, 26757])).
% 54.68/34.87 tff(26761,plain,
% 54.68/34.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB139, constB140)) | (~v90(constB139, 2)) | v100(constB140) | v90(constB140, 2))),
% 54.68/34.87 inference(quant_inst,[status(thm)],[])).
% 54.68/34.87 tff(26762,plain,
% 54.68/34.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB139, 2)) | (~nextState(constB139, constB140)) | v100(constB140) | v90(constB140, 2)),
% 54.68/34.87 inference(modus_ponens,[status(thm)],[26761, 26760])).
% 54.68/34.87 tff(26763,plain,
% 54.68/34.87 ((~v90(constB139, 2)) | v100(constB140) | v90(constB140, 2)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26762, 2174, 23871])).
% 54.68/34.87 tff(26764,plain,
% 54.68/34.87 (v90(constB140, 2)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26763, 26737, 26756])).
% 54.68/34.87 tff(26765,plain,
% 54.68/34.87 (v90(constB141, 2)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[24084, 26764])).
% 54.68/34.87 tff(26766,plain,
% 54.68/34.87 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v119(constB141)) | (~v90(constB141, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | (~v119(constB141)) | (~v90(constB141, 2)))),
% 54.68/34.87 inference(rewrite,[status(thm)],[])).
% 54.68/34.87 tff(26767,plain,
% 54.68/34.87 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v119(constB141)) | (~v90(constB141, 2)))),
% 54.68/34.87 inference(quant_inst,[status(thm)],[])).
% 54.68/34.87 tff(26768,plain,
% 54.68/34.87 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | (~v119(constB141)) | (~v90(constB141, 2))),
% 54.68/34.87 inference(modus_ponens,[status(thm)],[26767, 26766])).
% 54.68/34.87 tff(26769,plain,
% 54.68/34.87 (~v119(constB141)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26768, 3814, 26765])).
% 54.68/34.87 tff(26770,plain,
% 54.68/34.87 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v120(constB141)) | (~v90(constB141, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | (~v120(constB141)) | (~v90(constB141, 2)))),
% 54.68/34.87 inference(rewrite,[status(thm)],[])).
% 54.68/34.87 tff(26771,plain,
% 54.68/34.87 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v120(constB141)) | (~v90(constB141, 2)))),
% 54.68/34.87 inference(quant_inst,[status(thm)],[])).
% 54.68/34.87 tff(26772,plain,
% 54.68/34.87 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | (~v120(constB141)) | (~v90(constB141, 2))),
% 54.68/34.87 inference(modus_ponens,[status(thm)],[26771, 26770])).
% 54.68/34.87 tff(26773,plain,
% 54.68/34.87 (~v120(constB141)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26772, 3825, 26765])).
% 54.68/34.87 tff(26774,plain,
% 54.68/34.87 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB141)) | (~v90(constB141, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB141)) | (~v90(constB141, 2)))),
% 54.68/34.87 inference(rewrite,[status(thm)],[])).
% 54.68/34.87 tff(26775,plain,
% 54.68/34.87 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB141)) | (~v90(constB141, 2)))),
% 54.68/34.87 inference(quant_inst,[status(thm)],[])).
% 54.68/34.87 tff(26776,plain,
% 54.68/34.87 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB141)) | (~v90(constB141, 2))),
% 54.68/34.87 inference(modus_ponens,[status(thm)],[26775, 26774])).
% 54.68/34.87 tff(26777,plain,
% 54.68/34.87 (~v121(constB141)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26776, 2857, 26765])).
% 54.68/34.87 tff(26778,plain,
% 54.68/34.87 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB141)) | (~v90(constB141, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB141)) | (~v90(constB141, 2)))),
% 54.68/34.87 inference(rewrite,[status(thm)],[])).
% 54.68/34.87 tff(26779,plain,
% 54.68/34.87 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB141)) | (~v90(constB141, 2)))),
% 54.68/34.87 inference(quant_inst,[status(thm)],[])).
% 54.68/34.87 tff(26780,plain,
% 54.68/34.87 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB141)) | (~v90(constB141, 2))),
% 54.68/34.87 inference(modus_ponens,[status(thm)],[26779, 26778])).
% 54.68/34.87 tff(26781,plain,
% 54.68/34.87 (~v122(constB141)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26780, 2797, 26765])).
% 54.68/34.87 tff(26782,plain,
% 54.68/34.87 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB141) | v120(constB141) | v121(constB141) | v122(constB141) | v123(constB141) | v124(constB141) | (~v130(constB141, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB141) | v120(constB141) | v121(constB141) | v122(constB141) | v123(constB141) | v124(constB141) | (~v130(constB141, 1)))),
% 54.68/34.87 inference(rewrite,[status(thm)],[])).
% 54.68/34.87 tff(26783,plain,
% 54.68/34.87 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB141) | v120(constB141) | v121(constB141) | v122(constB141) | v123(constB141) | v124(constB141) | (~v130(constB141, 1)))),
% 54.68/34.87 inference(quant_inst,[status(thm)],[])).
% 54.68/34.87 tff(26784,plain,
% 54.68/34.87 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB141) | v120(constB141) | v121(constB141) | v122(constB141) | v123(constB141) | v124(constB141) | (~v130(constB141, 1))),
% 54.68/34.87 inference(modus_ponens,[status(thm)],[26783, 26782])).
% 54.68/34.87 tff(26785,plain,
% 54.68/34.87 (v123(constB141)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26784, 3309, 26781, 26777, 26773, 26769, 26755, 26751])).
% 54.68/34.87 tff(26786,plain,
% 54.68/34.87 ($false),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[24255, 2581, 26785, 26751])).
% 54.68/34.87 tff(26787,plain,(v100(constB140) | (~v90(constB142, 1)) | (~v90(constB142, 0)) | (~v90(constB139, 2)) | v90(constB139, 0)), inference(lemma,lemma(discharge,[]))).
% 54.68/34.87 tff(26788,plain,
% 54.68/34.87 (v100(constB140)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26787, 26728, 26481, 26418, 26482])).
% 54.68/34.87 tff(26789,plain,
% 54.68/34.87 (v90(constB140, 0)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26573, 26788])).
% 54.68/34.87 tff(26790,plain,
% 54.68/34.87 (v90(constB141, 0)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26582, 26789])).
% 54.68/34.87 tff(26791,assumption,(~v90(constB140, 2)), introduced(assumption)).
% 54.68/34.87 tff(26792,plain,
% 54.68/34.87 (~v90(constB141, 2)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26624, 26791])).
% 54.68/34.87 tff(26793,plain,
% 54.68/34.87 (v100(constB142)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26682, 26792, 26480])).
% 54.68/34.87 tff(26794,plain,
% 54.68/34.87 (v129(constB142, 1)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26637, 26793])).
% 54.68/34.87 tff(26795,plain,
% 54.68/34.87 (v127(constB141, 1)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[24268, 26794])).
% 54.68/34.87 tff(26796,plain,
% 54.68/34.87 (~v26(constB141)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26642, 6104, 26795])).
% 54.68/34.87 tff(26797,plain,
% 54.68/34.87 (v129(constB142, 0)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26650, 26793])).
% 54.68/34.87 tff(26798,plain,
% 54.68/34.87 (v127(constB141, 0)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26655, 26797])).
% 54.68/34.87 tff(26799,plain,
% 54.68/34.87 (v130(constB141, 0)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26662, 1671, 26798, 26796])).
% 54.68/34.87 tff(26800,plain,
% 54.68/34.87 (v90(constB140, 2) | (~v129(constB140, 2))),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[24057, 2324, 26591])).
% 54.68/34.87 tff(26801,plain,
% 54.68/34.87 (~v129(constB140, 2)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26800, 26791])).
% 54.68/34.87 tff(26802,plain,
% 54.68/34.87 (~v127(constB139, 2)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[23875, 26801])).
% 54.68/34.87 tff(26803,plain,
% 54.68/34.87 (~v130(constB139, 2)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[23867, 26802])).
% 54.68/34.87 tff(26804,plain,
% 54.68/34.87 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB139)) | v130(constB139, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB139)) | v130(constB139, 2))),
% 54.68/34.87 inference(rewrite,[status(thm)],[])).
% 54.68/34.87 tff(26805,plain,
% 54.68/34.87 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB139)) | v130(constB139, 2))),
% 54.68/34.87 inference(quant_inst,[status(thm)],[])).
% 54.68/34.87 tff(26806,plain,
% 54.68/34.87 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB139)) | v130(constB139, 2)),
% 54.68/34.87 inference(modus_ponens,[status(thm)],[26805, 26804])).
% 54.68/34.87 tff(26807,plain,
% 54.68/34.87 (~v123(constB139)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26806, 2525, 26803])).
% 54.68/34.87 tff(26808,assumption,(~v120(constB139)), introduced(assumption)).
% 54.68/34.87 tff(26809,assumption,(~v122(constB139)), introduced(assumption)).
% 54.68/34.87 tff(26810,assumption,(~v124(constB139)), introduced(assumption)).
% 54.68/34.87 tff(26811,plain,
% 54.68/34.87 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB139) | v120(constB139) | v121(constB139) | v122(constB139) | v123(constB139) | v124(constB139) | (~v130(constB139, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB139) | v120(constB139) | v121(constB139) | v122(constB139) | v123(constB139) | v124(constB139) | (~v130(constB139, 1)))),
% 54.68/34.87 inference(rewrite,[status(thm)],[])).
% 54.68/34.87 tff(26812,plain,
% 54.68/34.87 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB139) | v120(constB139) | v121(constB139) | v122(constB139) | v123(constB139) | v124(constB139) | (~v130(constB139, 1)))),
% 54.68/34.87 inference(quant_inst,[status(thm)],[])).
% 54.68/34.87 tff(26813,plain,
% 54.68/34.87 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB139) | v120(constB139) | v121(constB139) | v122(constB139) | v123(constB139) | v124(constB139) | (~v130(constB139, 1))),
% 54.68/34.87 inference(modus_ponens,[status(thm)],[26812, 26811])).
% 54.68/34.87 tff(26814,plain,
% 54.68/34.87 (v119(constB139) | v121(constB139) | v123(constB139) | (~v130(constB139, 1))),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26813, 3309, 26810, 26809, 26808])).
% 54.68/34.87 tff(26815,plain,
% 54.68/34.87 (~v130(constB139, 1)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26814, 26807, 26528, 26529])).
% 54.68/34.87 tff(26816,plain,
% 54.68/34.87 (~v127(constB139, 1)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[24096, 26815])).
% 54.68/34.87 tff(26817,plain,
% 54.68/34.87 (~v129(constB140, 1)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[24101, 26816])).
% 54.68/34.87 tff(26818,plain,
% 54.68/34.87 (~v90(constB140, 1)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26592, 26817])).
% 54.68/34.87 tff(26819,plain,
% 54.68/34.87 (~v90(constB141, 1)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[24117, 26818])).
% 54.68/34.87 tff(26820,plain,
% 54.68/34.87 (v120(constB141)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26630, 26819, 26792])).
% 54.68/34.87 tff(26821,plain,
% 54.68/34.87 ($false),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26634, 1657, 26820, 26799])).
% 54.68/34.87 tff(26822,plain,(v90(constB140, 2) | (~v90(constB141, 0)) | (~v100(constB140)) | v119(constB139) | v121(constB139) | v124(constB139) | v122(constB139) | v120(constB139) | (~v90(constB142, 0)) | (~v90(constB142, 1)) | (~v90(constB142, 2))), inference(lemma,lemma(discharge,[]))).
% 54.68/34.87 tff(26823,plain,
% 54.68/34.87 (v90(constB140, 2)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26822, 26790, 26788, 26736, 26732, 26520, 26516, 26515, 26481, 26418, 26480])).
% 54.68/34.87 tff(26824,plain,
% 54.68/34.87 (v90(constB141, 2)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[24084, 26823])).
% 54.68/34.87 tff(26825,plain,
% 54.68/34.87 ((~v90(constB140, 2)) | v129(constB140, 2)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26614, 1223, 26788])).
% 54.68/34.87 tff(26826,plain,
% 54.68/34.87 (v129(constB140, 2)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26825, 26823])).
% 54.68/34.87 tff(26827,plain,
% 54.68/34.87 (v127(constB139, 2)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26610, 26826])).
% 54.68/34.87 tff(26828,plain,
% 54.68/34.87 (v130(constB139, 2)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26605, 26827])).
% 54.68/34.87 tff(26829,plain,
% 54.68/34.87 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB139) | v120(constB139) | v121(constB139) | v122(constB139) | v123(constB139) | v124(constB139) | (~v130(constB139, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB139) | v120(constB139) | v121(constB139) | v122(constB139) | v123(constB139) | v124(constB139) | (~v130(constB139, 2)))),
% 54.68/34.87 inference(rewrite,[status(thm)],[])).
% 54.68/34.87 tff(26830,plain,
% 54.68/34.87 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB139) | v120(constB139) | v121(constB139) | v122(constB139) | v123(constB139) | v124(constB139) | (~v130(constB139, 2)))),
% 54.68/34.87 inference(quant_inst,[status(thm)],[])).
% 54.68/34.87 tff(26831,plain,
% 54.68/34.87 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB139) | v120(constB139) | v121(constB139) | v122(constB139) | v123(constB139) | v124(constB139) | (~v130(constB139, 2))),
% 54.68/34.87 inference(modus_ponens,[status(thm)],[26830, 26829])).
% 54.68/34.87 tff(26832,plain,
% 54.68/34.87 (v119(constB139) | v121(constB139) | v123(constB139) | (~v130(constB139, 2))),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26831, 2904, 26520, 26516, 26515])).
% 54.68/34.87 tff(26833,plain,
% 54.68/34.87 (v123(constB139)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26832, 26828, 26736, 26732])).
% 54.68/34.87 tff(26834,plain,
% 54.68/34.87 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB139)) | (~v130(constB139, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB139)) | (~v130(constB139, 1)))),
% 54.68/34.87 inference(rewrite,[status(thm)],[])).
% 54.68/34.87 tff(26835,plain,
% 54.68/34.87 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB139)) | (~v130(constB139, 1)))),
% 54.68/34.87 inference(quant_inst,[status(thm)],[])).
% 54.68/34.87 tff(26836,plain,
% 54.68/34.87 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB139)) | (~v130(constB139, 1))),
% 54.68/34.87 inference(modus_ponens,[status(thm)],[26835, 26834])).
% 54.68/34.87 tff(26837,plain,
% 54.68/34.87 (~v130(constB139, 1)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26836, 2581, 26833])).
% 54.68/34.87 tff(26838,plain,
% 54.68/34.87 (~v127(constB139, 1)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[24096, 26837])).
% 54.68/34.87 tff(26839,plain,
% 54.68/34.87 (~v129(constB140, 1)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[24101, 26838])).
% 54.68/34.87 tff(26840,plain,
% 54.68/34.87 ((~v90(constB140, 1)) | v129(constB140, 1)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[24108, 1309, 26788])).
% 54.68/34.87 tff(26841,plain,
% 54.68/34.87 (~v90(constB140, 1)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26840, 26839])).
% 54.68/34.87 tff(26842,plain,
% 54.68/34.87 (~v90(constB141, 1)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[24117, 26841])).
% 54.68/34.87 tff(26843,plain,
% 54.68/34.87 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB141, 0)) | v90(constB141, 1) | (~v90(constB141, 2)) | v124(constB141))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB141, 0)) | v90(constB141, 1) | (~v90(constB141, 2)) | v124(constB141))),
% 54.68/34.87 inference(rewrite,[status(thm)],[])).
% 54.68/34.87 tff(26844,plain,
% 54.68/34.87 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB141, 0)) | v90(constB141, 1) | (~v90(constB141, 2)) | v124(constB141))),
% 54.68/34.87 inference(quant_inst,[status(thm)],[])).
% 54.68/34.87 tff(26845,plain,
% 54.68/34.87 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB141, 0)) | v90(constB141, 1) | (~v90(constB141, 2)) | v124(constB141)),
% 54.68/34.87 inference(modus_ponens,[status(thm)],[26844, 26843])).
% 54.68/34.87 tff(26846,plain,
% 54.68/34.87 (v90(constB141, 1) | (~v90(constB141, 2)) | v124(constB141)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26845, 2663, 26790])).
% 54.68/34.87 tff(26847,plain,
% 54.68/34.87 (v124(constB141)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26846, 26842, 26824])).
% 54.68/34.87 tff(26848,plain,
% 54.68/34.87 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB141)) | (~v130(constB141, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB141)) | (~v130(constB141, 0)))),
% 54.68/34.87 inference(rewrite,[status(thm)],[])).
% 54.68/34.87 tff(26849,plain,
% 54.68/34.87 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB141)) | (~v130(constB141, 0)))),
% 54.68/34.87 inference(quant_inst,[status(thm)],[])).
% 54.68/34.87 tff(26850,plain,
% 54.68/34.87 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB141)) | (~v130(constB141, 0))),
% 54.68/34.87 inference(modus_ponens,[status(thm)],[26849, 26848])).
% 54.68/34.87 tff(26851,plain,
% 54.68/34.87 (~v130(constB141, 0)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26850, 3274, 26847])).
% 54.68/34.87 tff(26852,plain,
% 54.68/34.87 (v100(constB142)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26427, 26842, 26418])).
% 54.68/34.87 tff(26853,plain,
% 54.68/34.87 (v129(constB142, 1)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26637, 26852])).
% 54.68/34.87 tff(26854,plain,
% 54.68/34.87 (v127(constB141, 1)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[24268, 26853])).
% 54.68/34.87 tff(26855,plain,
% 54.68/34.87 (~v26(constB141)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26642, 6104, 26854])).
% 54.68/34.87 tff(26856,plain,
% 54.68/34.87 (v129(constB142, 0)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26650, 26852])).
% 54.68/34.87 tff(26857,plain,
% 54.68/34.87 (v127(constB141, 0)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26655, 26856])).
% 54.68/34.87 tff(26858,plain,
% 54.68/34.87 ($false),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26662, 1671, 26857, 26855, 26851])).
% 54.68/34.87 tff(26859,plain,(v90(constB139, 0) | (~v90(constB142, 0)) | (~v90(constB142, 1)) | (~v90(constB142, 2))), inference(lemma,lemma(discharge,[]))).
% 54.68/34.87 tff(26860,plain,
% 54.68/34.87 (v90(constB139, 0)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26859, 26479, 26459, 26418])).
% 54.68/34.87 tff(26861,plain,
% 54.68/34.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB138, 0) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB138, 0) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, 0)))),
% 54.68/34.87 inference(rewrite,[status(thm)],[])).
% 54.68/34.87 tff(26862,plain,
% 54.68/34.87 (((~nextState(constB138, constB139)) | v90(constB138, 0) | v100(constB139) | (~v90(constB139, 0))) <=> (v90(constB138, 0) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, 0)))),
% 54.68/34.87 inference(rewrite,[status(thm)],[])).
% 54.68/34.87 tff(26863,plain,
% 54.68/34.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB138, constB139)) | v90(constB138, 0) | v100(constB139) | (~v90(constB139, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB138, 0) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, 0))))),
% 54.68/34.87 inference(monotonicity,[status(thm)],[26862])).
% 54.68/34.87 tff(26864,plain,
% 54.68/34.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB138, constB139)) | v90(constB138, 0) | v100(constB139) | (~v90(constB139, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB138, 0) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, 0)))),
% 54.68/34.87 inference(transitivity,[status(thm)],[26863, 26861])).
% 54.68/34.87 tff(26865,plain,
% 54.68/34.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB138, constB139)) | v90(constB138, 0) | v100(constB139) | (~v90(constB139, 0)))),
% 54.68/34.87 inference(quant_inst,[status(thm)],[])).
% 54.68/34.87 tff(26866,plain,
% 54.68/34.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB138, 0) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, 0))),
% 54.68/34.87 inference(modus_ponens,[status(thm)],[26865, 26864])).
% 54.68/34.87 tff(26867,plain,
% 54.68/34.87 (v90(constB138, 0) | v100(constB139) | (~v90(constB139, 0))),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26866, 947, 23788])).
% 54.68/34.87 tff(26868,plain,
% 54.68/34.87 (v90(constB138, 0) | (~v90(constB139, 0))),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26867, 23800])).
% 54.68/34.87 tff(26869,plain,
% 54.68/34.87 (v90(constB138, 0)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26868, 26860])).
% 54.68/34.87 tff(26870,plain,
% 54.68/34.87 (v90(constB140, 0)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[24126, 26451])).
% 54.68/34.87 tff(26871,plain,
% 54.68/34.87 (v127(constB139, 0)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[24042, 26870])).
% 54.68/34.87 tff(26872,plain,
% 54.68/34.87 (v130(constB139, 0)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[23887, 26871])).
% 54.68/34.87 tff(26873,plain,
% 54.68/34.87 (~v122(constB139)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[23879, 2407, 26872])).
% 54.68/34.87 tff(26874,plain,
% 54.68/34.87 (~v120(constB139)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26514, 1657, 26872])).
% 54.68/34.87 tff(26875,assumption,(v90(constB139, 0)), introduced(assumption)).
% 54.68/34.87 tff(26876,plain,
% 54.68/34.87 ((~v90(constB139, 1)) | v90(constB139, 2) | v122(constB139)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[23853, 1956, 26875])).
% 54.68/34.87 tff(26877,plain,
% 54.68/34.87 (~v90(constB139, 1)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26876, 26521, 26809])).
% 54.68/34.87 tff(26878,plain,
% 54.68/34.87 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB139, 0)) | v90(constB139, 1) | v90(constB139, 2) | v120(constB139))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB139, 0)) | v90(constB139, 1) | v90(constB139, 2) | v120(constB139))),
% 54.68/34.87 inference(rewrite,[status(thm)],[])).
% 54.68/34.87 tff(26879,plain,
% 54.68/34.87 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB139, 0)) | v90(constB139, 1) | v90(constB139, 2) | v120(constB139))),
% 54.68/34.87 inference(quant_inst,[status(thm)],[])).
% 54.68/34.87 tff(26880,plain,
% 54.68/34.87 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB139, 0)) | v90(constB139, 1) | v90(constB139, 2) | v120(constB139)),
% 54.68/34.87 inference(modus_ponens,[status(thm)],[26879, 26878])).
% 54.68/34.87 tff(26881,plain,
% 54.68/34.87 (v90(constB139, 1) | v90(constB139, 2) | v120(constB139)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26880, 1414, 26875])).
% 54.68/34.87 tff(26882,plain,
% 54.68/34.87 ($false),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26881, 26877, 26521, 26808])).
% 54.68/34.87 tff(26883,plain,(v90(constB139, 2) | v120(constB139) | (~v90(constB139, 0)) | v122(constB139)), inference(lemma,lemma(discharge,[]))).
% 54.68/34.87 tff(26884,plain,
% 54.68/34.87 (v90(constB139, 2)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26883, 26874, 26860, 26873])).
% 54.68/34.87 tff(26885,plain,
% 54.68/34.87 (v90(constB138, 2)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[23839, 26884])).
% 54.68/34.87 tff(26886,plain,
% 54.68/34.87 (~v124(constB139)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26519, 3274, 26872])).
% 54.68/34.87 tff(26887,plain,
% 54.68/34.87 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB139, 0)) | v90(constB139, 1) | (~v90(constB139, 2)) | v124(constB139))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB139, 0)) | v90(constB139, 1) | (~v90(constB139, 2)) | v124(constB139))),
% 54.68/34.87 inference(rewrite,[status(thm)],[])).
% 54.68/34.87 tff(26888,plain,
% 54.68/34.87 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB139, 0)) | v90(constB139, 1) | (~v90(constB139, 2)) | v124(constB139))),
% 54.68/34.87 inference(quant_inst,[status(thm)],[])).
% 54.68/34.87 tff(26889,plain,
% 54.68/34.87 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB139, 0)) | v90(constB139, 1) | (~v90(constB139, 2)) | v124(constB139)),
% 54.68/34.87 inference(modus_ponens,[status(thm)],[26888, 26887])).
% 54.68/34.87 tff(26890,plain,
% 54.68/34.87 (v90(constB139, 1) | (~v90(constB139, 2)) | v124(constB139)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26889, 2663, 26860])).
% 54.68/34.87 tff(26891,plain,
% 54.68/34.87 (v90(constB139, 1)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26890, 26884, 26886])).
% 54.68/34.87 tff(26892,plain,
% 54.68/34.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB138, 1) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB138, 1) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, 1)))),
% 54.68/34.87 inference(rewrite,[status(thm)],[])).
% 54.68/34.87 tff(26893,plain,
% 54.68/34.87 (((~nextState(constB138, constB139)) | v90(constB138, 1) | v100(constB139) | (~v90(constB139, 1))) <=> (v90(constB138, 1) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, 1)))),
% 54.68/34.87 inference(rewrite,[status(thm)],[])).
% 54.68/34.87 tff(26894,plain,
% 54.68/34.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB138, constB139)) | v90(constB138, 1) | v100(constB139) | (~v90(constB139, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB138, 1) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, 1))))),
% 54.68/34.87 inference(monotonicity,[status(thm)],[26893])).
% 54.68/34.87 tff(26895,plain,
% 54.68/34.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB138, constB139)) | v90(constB138, 1) | v100(constB139) | (~v90(constB139, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB138, 1) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, 1)))),
% 54.68/34.87 inference(transitivity,[status(thm)],[26894, 26892])).
% 54.68/34.87 tff(26896,plain,
% 54.68/34.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB138, constB139)) | v90(constB138, 1) | v100(constB139) | (~v90(constB139, 1)))),
% 54.68/34.87 inference(quant_inst,[status(thm)],[])).
% 54.68/34.87 tff(26897,plain,
% 54.68/34.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB138, 1) | (~nextState(constB138, constB139)) | v100(constB139) | (~v90(constB139, 1))),
% 54.68/34.87 inference(modus_ponens,[status(thm)],[26896, 26895])).
% 54.68/34.87 tff(26898,plain,
% 54.68/34.87 (v90(constB138, 1) | v100(constB139) | (~v90(constB139, 1))),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26897, 926, 23788])).
% 54.68/34.87 tff(26899,plain,
% 54.68/34.87 (v90(constB138, 1) | (~v90(constB139, 1))),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26898, 23800])).
% 54.68/34.87 tff(26900,plain,
% 54.68/34.87 (v90(constB138, 1)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26899, 26891])).
% 54.68/34.87 tff(26901,assumption,(~v122(constB141)), introduced(assumption)).
% 54.68/34.87 tff(26902,assumption,(v90(constB138, 2)), introduced(assumption)).
% 54.68/34.87 tff(26903,assumption,(v90(constB138, 1)), introduced(assumption)).
% 54.68/34.87 tff(26904,assumption,(v119(constB133)), introduced(assumption)).
% 54.68/34.87 tff(26905,plain,
% 54.68/34.87 (v118(constB133)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[23070, 982, 26904])).
% 54.68/34.87 tff(26906,plain,
% 54.68/34.87 (v117(constB133)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[23063, 993, 26905])).
% 54.68/34.87 tff(26907,plain,
% 54.68/34.87 (v116(constB133)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[22922, 1007, 26906])).
% 54.68/34.87 tff(26908,plain,
% 54.68/34.87 (v115(constB133)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[22809, 1021, 26907])).
% 54.68/34.87 tff(26909,plain,
% 54.68/34.87 (v114(constB133)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[22816, 1035, 26908])).
% 54.68/34.87 tff(26910,plain,
% 54.68/34.87 (v113(constB133)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[22823, 1049, 26909])).
% 54.68/34.87 tff(26911,plain,
% 54.68/34.87 (v108(constB133)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[22449, 26910])).
% 54.68/34.87 tff(26912,plain,
% 54.68/34.87 (v110(constB134)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[22457, 26911])).
% 54.68/34.87 tff(26913,plain,
% 54.68/34.87 (v100(constB134)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[22480, 26912])).
% 54.68/34.87 tff(26914,plain,
% 54.68/34.87 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB133)) | v130(constB133, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB133)) | v130(constB133, 0))),
% 54.68/34.87 inference(rewrite,[status(thm)],[])).
% 54.68/34.87 tff(26915,plain,
% 54.68/34.87 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB133)) | v130(constB133, 0))),
% 54.68/34.87 inference(quant_inst,[status(thm)],[])).
% 54.68/34.87 tff(26916,plain,
% 54.68/34.87 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB133)) | v130(constB133, 0)),
% 54.68/34.87 inference(modus_ponens,[status(thm)],[26915, 26914])).
% 54.68/34.87 tff(26917,plain,
% 54.68/34.87 (v130(constB133, 0)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26916, 1333, 26904])).
% 54.68/34.87 tff(26918,plain,
% 54.68/34.87 (v127(constB133, 0)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[22521, 26917])).
% 54.68/34.87 tff(26919,plain,
% 54.68/34.87 (v129(constB134, 0)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[22526, 26918])).
% 54.68/34.87 tff(26920,plain,
% 54.68/34.87 (v90(constB134, 0) | (~v100(constB134))),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[22533, 1377, 26919])).
% 54.68/34.87 tff(26921,plain,
% 54.68/34.87 (v90(constB134, 0)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26920, 26913])).
% 54.68/34.87 tff(26922,plain,
% 54.68/34.87 (v90(constB135, 0)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[22542, 26921])).
% 54.68/34.87 tff(26923,plain,
% 54.68/34.87 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB133)) | (~v130(constB133, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB133)) | (~v130(constB133, 2)))),
% 54.68/34.87 inference(rewrite,[status(thm)],[])).
% 54.68/34.87 tff(26924,plain,
% 54.68/34.87 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB133)) | (~v130(constB133, 2)))),
% 54.68/34.87 inference(quant_inst,[status(thm)],[])).
% 54.68/34.87 tff(26925,plain,
% 54.68/34.87 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB133)) | (~v130(constB133, 2))),
% 54.68/34.87 inference(modus_ponens,[status(thm)],[26924, 26923])).
% 54.68/34.87 tff(26926,plain,
% 54.68/34.87 (~v130(constB133, 2)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26925, 1176, 26904])).
% 54.68/34.87 tff(26927,plain,
% 54.68/34.87 (~v127(constB133, 2)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[22403, 26926])).
% 54.68/34.87 tff(26928,plain,
% 54.68/34.87 (~v129(constB134, 2)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[22411, 26927])).
% 54.68/34.87 tff(26929,plain,
% 54.68/34.87 ((~v90(constB134, 2)) | (~v100(constB134))),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[22484, 1223, 26928])).
% 54.68/34.87 tff(26930,plain,
% 54.68/34.87 (~v90(constB134, 2)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26929, 26913])).
% 54.68/34.87 tff(26931,plain,
% 54.68/34.87 (~v90(constB135, 2)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[22511, 26930])).
% 54.68/34.87 tff(26932,plain,
% 54.68/34.87 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB133)) | (~v130(constB133, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB133)) | (~v130(constB133, 1)))),
% 54.68/34.87 inference(rewrite,[status(thm)],[])).
% 54.68/34.87 tff(26933,plain,
% 54.68/34.87 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB133)) | (~v130(constB133, 1)))),
% 54.68/34.87 inference(quant_inst,[status(thm)],[])).
% 54.68/34.87 tff(26934,plain,
% 54.68/34.87 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB133)) | (~v130(constB133, 1))),
% 54.68/34.87 inference(modus_ponens,[status(thm)],[26933, 26932])).
% 54.68/34.87 tff(26935,plain,
% 54.68/34.87 (~v130(constB133, 1)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26934, 1262, 26904])).
% 54.68/34.87 tff(26936,plain,
% 54.68/34.87 (~v127(constB133, 1)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[22555, 26935])).
% 54.68/34.87 tff(26937,plain,
% 54.68/34.87 (~v129(constB134, 1)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[22560, 26936])).
% 54.68/34.87 tff(26938,plain,
% 54.68/34.87 ((~v90(constB134, 1)) | (~v100(constB134))),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[22567, 1309, 26937])).
% 54.68/34.87 tff(26939,plain,
% 54.68/34.87 (~v90(constB134, 1)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26938, 26913])).
% 54.68/34.87 tff(26940,plain,
% 54.68/34.87 (~v90(constB135, 1)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[22576, 26939])).
% 54.68/34.87 tff(26941,plain,
% 54.68/34.87 (v120(constB135)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[22581, 1414, 26922, 26940, 26931])).
% 54.68/34.87 tff(26942,plain,
% 54.68/34.87 (~v130(constB135, 0)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[22588, 1657, 26941])).
% 54.68/34.87 tff(26943,plain,
% 54.68/34.87 (v118(constB135)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[22989, 1425, 26941])).
% 54.68/34.87 tff(26944,plain,
% 54.68/34.87 (v117(constB135)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[22743, 993, 26943])).
% 54.68/34.87 tff(26945,plain,
% 54.68/34.87 (v116(constB135)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[22688, 1007, 26944])).
% 54.68/34.87 tff(26946,plain,
% 54.68/34.87 (v115(constB135)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[22684, 1021, 26945])).
% 54.68/34.87 tff(26947,plain,
% 54.68/34.87 (v114(constB135)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[22680, 1035, 26946])).
% 54.68/34.87 tff(26948,plain,
% 54.68/34.87 (v113(constB135)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[22673, 1049, 26947])).
% 54.68/34.87 tff(26949,plain,
% 54.68/34.87 (~v90(constB136, 0)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[23371, 26948, 26942])).
% 54.68/34.87 tff(26950,plain,
% 54.68/34.87 (v100(constB136)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[22736, 26949, 26922])).
% 54.68/34.87 tff(26951,plain,
% 54.68/34.87 (~v130(constB135, 2)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[23445, 1523, 26941])).
% 54.68/34.87 tff(26952,plain,
% 54.68/34.87 (~v127(constB135, 2)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[23453, 26951])).
% 54.68/34.87 tff(26953,plain,
% 54.68/34.87 (~v129(constB136, 2)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[23458, 26952])).
% 54.68/34.87 tff(26954,plain,
% 54.68/34.87 ((~v90(constB136, 2)) | (~v100(constB136))),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[23462, 1223, 26953])).
% 54.68/34.87 tff(26955,plain,
% 54.68/34.87 (~v90(constB136, 2)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26954, 26950])).
% 54.68/34.87 tff(26956,plain,
% 54.68/34.87 (~v90(constB137, 2)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[23472, 26955])).
% 54.68/34.87 tff(26957,plain,
% 54.68/34.87 (v130(constB135, 1)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[23403, 1579, 26941])).
% 54.68/34.87 tff(26958,plain,
% 54.68/34.87 (v127(constB135, 1)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[23408, 26957])).
% 54.68/34.87 tff(26959,plain,
% 54.68/34.87 (v129(constB136, 1)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[23413, 26958])).
% 54.68/34.87 tff(26960,plain,
% 54.68/34.87 (v90(constB136, 1) | (~v100(constB136))),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[23431, 1623, 26959])).
% 54.68/34.87 tff(26961,plain,
% 54.68/34.87 (v90(constB136, 1)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26960, 26950])).
% 54.68/34.87 tff(26962,plain,
% 54.68/34.87 (v90(constB137, 1)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[23441, 26961])).
% 54.68/34.87 tff(26963,plain,
% 54.68/34.87 (~v90(constB137, 0)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[23398, 26949])).
% 54.68/34.87 tff(26964,plain,
% 54.68/34.87 (v121(constB137)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[23477, 1731, 26963, 26962, 26956])).
% 54.68/34.87 tff(26965,plain,
% 54.68/34.87 (v130(constB137, 1)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[23484, 1877, 26964])).
% 54.68/34.87 tff(26966,plain,
% 54.68/34.87 (v127(constB137, 1)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[23493, 26965])).
% 54.68/34.87 tff(26967,plain,
% 54.68/34.87 (v129(constB138, 1)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[23501, 26966])).
% 54.68/34.87 tff(26968,plain,
% 54.68/34.87 (v90(constB138, 0)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[23633, 26964])).
% 54.68/34.87 tff(26969,plain,
% 54.68/34.87 (v100(constB138)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[23510, 26968, 26963])).
% 54.68/34.87 tff(26970,plain,
% 54.68/34.87 (v90(constB138, 1) | (~v129(constB138, 1))),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[23780, 1623, 26969])).
% 54.68/34.87 tff(26971,plain,
% 54.68/34.87 (v90(constB138, 1)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26970, 26967])).
% 54.68/34.87 tff(26972,plain,
% 54.68/34.87 (v90(constB139, 1)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[23808, 26971])).
% 54.68/34.87 tff(26973,plain,
% 54.68/34.87 (~v130(constB137, 2)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[23812, 1821, 26964])).
% 54.68/34.87 tff(26974,plain,
% 54.68/34.87 (~v127(constB137, 2)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[23820, 26973])).
% 54.68/34.87 tff(26975,plain,
% 54.68/34.87 (~v129(constB138, 2)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[23825, 26974])).
% 54.68/34.87 tff(26976,plain,
% 54.68/34.87 ((~v90(constB138, 2)) | v129(constB138, 2)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[23829, 1223, 26969])).
% 54.68/34.87 tff(26977,plain,
% 54.68/34.87 (~v90(constB138, 2)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26976, 26975])).
% 54.68/34.87 tff(26978,plain,
% 54.68/34.87 (~v90(constB139, 2)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[23839, 26977])).
% 54.68/34.87 tff(26979,plain,
% 54.68/34.87 (v90(constB139, 0)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[23849, 26968])).
% 54.68/34.87 tff(26980,plain,
% 54.68/34.87 ((~v90(constB139, 1)) | v90(constB139, 2) | v122(constB139)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[23853, 1956, 26979])).
% 54.68/34.87 tff(26981,plain,
% 54.68/34.87 (v122(constB139)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26980, 26978, 26972])).
% 54.68/34.87 tff(26982,plain,
% 54.68/34.87 (v130(constB139, 2)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[23858, 1967, 26981])).
% 54.68/34.87 tff(26983,plain,
% 54.68/34.87 (v127(constB139, 2)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[23867, 26982])).
% 54.68/34.87 tff(26984,plain,
% 54.68/34.87 (v129(constB140, 2)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[23875, 26983])).
% 54.68/34.87 tff(26985,plain,
% 54.68/34.87 (~v130(constB139, 0)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[23879, 2407, 26981])).
% 54.68/34.87 tff(26986,plain,
% 54.68/34.87 (~v127(constB139, 0)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[23887, 26985])).
% 54.68/34.87 tff(26987,plain,
% 54.68/34.87 (~v90(constB140, 0)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[24042, 26986])).
% 54.68/34.87 tff(26988,plain,
% 54.68/34.87 (v100(constB140)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[24050, 26987, 26979])).
% 54.68/34.87 tff(26989,plain,
% 54.68/34.87 (v90(constB140, 2)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[24057, 2324, 26988, 26984])).
% 54.68/34.87 tff(26990,plain,
% 54.68/34.87 (v90(constB141, 2)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[24084, 26989])).
% 54.68/34.87 tff(26991,plain,
% 54.68/34.87 (~v130(constB139, 1)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[24088, 2366, 26981])).
% 54.68/34.87 tff(26992,plain,
% 54.68/34.87 (~v127(constB139, 1)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[24096, 26991])).
% 54.68/34.87 tff(26993,plain,
% 54.68/34.87 (~v129(constB140, 1)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[24101, 26992])).
% 54.68/34.87 tff(26994,plain,
% 54.68/34.87 (~v90(constB140, 1)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[24108, 1309, 26988, 26993])).
% 54.68/34.87 tff(26995,plain,
% 54.68/34.87 (~v90(constB141, 1)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[24117, 26994])).
% 54.68/34.87 tff(26996,plain,
% 54.68/34.87 (~v90(constB141, 0)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[24126, 26987])).
% 54.68/34.87 tff(26997,plain,
% 54.68/34.87 (v100(constB142)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26746, 26996, 26481])).
% 54.68/34.87 tff(26998,plain,
% 54.68/34.87 (v129(constB142, 1)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[26637, 26997])).
% 54.68/34.87 tff(26999,plain,
% 54.68/34.87 (v127(constB141, 1)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[24268, 26998])).
% 54.68/34.87 tff(27000,plain,
% 54.68/34.87 (v130(constB141, 1)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[24263, 26999])).
% 54.68/34.87 tff(27001,plain,
% 54.68/34.87 (~v123(constB141)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[24255, 2581, 27000])).
% 54.68/34.87 tff(27002,plain,
% 54.68/34.87 (v90(constB141, 1) | (~v90(constB141, 2))),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[24130, 2308, 26996, 27001])).
% 54.68/34.87 tff(27003,plain,
% 54.68/34.87 ($false),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[27002, 26995, 26990])).
% 54.68/34.87 tff(27004,plain,((~v119(constB133)) | (~v90(constB142, 1)) | (~v90(constB142, 0))), inference(lemma,lemma(discharge,[]))).
% 54.68/34.87 tff(27005,plain,
% 54.68/34.87 (~v119(constB133)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[27004, 26481, 26418])).
% 54.68/34.87 tff(27006,plain,
% 54.68/34.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB137, 1) | (~nextState(constB137, constB138)) | v100(constB138) | (~v90(constB138, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB137, 1) | (~nextState(constB137, constB138)) | v100(constB138) | (~v90(constB138, 1)))),
% 54.68/34.87 inference(rewrite,[status(thm)],[])).
% 54.68/34.87 tff(27007,plain,
% 54.68/34.87 (((~nextState(constB137, constB138)) | v90(constB137, 1) | v100(constB138) | (~v90(constB138, 1))) <=> (v90(constB137, 1) | (~nextState(constB137, constB138)) | v100(constB138) | (~v90(constB138, 1)))),
% 54.68/34.87 inference(rewrite,[status(thm)],[])).
% 54.68/34.87 tff(27008,plain,
% 54.68/34.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB137, constB138)) | v90(constB137, 1) | v100(constB138) | (~v90(constB138, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB137, 1) | (~nextState(constB137, constB138)) | v100(constB138) | (~v90(constB138, 1))))),
% 54.68/34.87 inference(monotonicity,[status(thm)],[27007])).
% 54.68/34.87 tff(27009,plain,
% 54.68/34.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB137, constB138)) | v90(constB137, 1) | v100(constB138) | (~v90(constB138, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB137, 1) | (~nextState(constB137, constB138)) | v100(constB138) | (~v90(constB138, 1)))),
% 54.68/34.87 inference(transitivity,[status(thm)],[27008, 27006])).
% 54.68/34.87 tff(27010,plain,
% 54.68/34.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB137, constB138)) | v90(constB137, 1) | v100(constB138) | (~v90(constB138, 1)))),
% 54.68/34.87 inference(quant_inst,[status(thm)],[])).
% 54.68/34.87 tff(27011,plain,
% 54.68/34.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB137, 1) | (~nextState(constB137, constB138)) | v100(constB138) | (~v90(constB138, 1))),
% 54.68/34.87 inference(modus_ponens,[status(thm)],[27010, 27009])).
% 54.68/34.87 tff(27012,plain,
% 54.68/34.87 (v90(constB137, 1) | v100(constB138) | (~v90(constB138, 1))),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[27011, 926, 23497])).
% 54.68/34.87 tff(27013,plain,
% 54.68/34.87 (v90(constB137, 1)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[27012, 23503, 26903])).
% 54.68/34.87 tff(27014,plain,
% 54.68/34.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB136, 1) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB136, 1) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 1)))),
% 54.68/34.87 inference(rewrite,[status(thm)],[])).
% 54.68/34.87 tff(27015,plain,
% 54.68/34.87 (((~nextState(constB136, constB137)) | v90(constB136, 1) | v100(constB137) | (~v90(constB137, 1))) <=> (v90(constB136, 1) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 1)))),
% 54.68/34.87 inference(rewrite,[status(thm)],[])).
% 54.68/34.87 tff(27016,plain,
% 54.68/34.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB136, constB137)) | v90(constB136, 1) | v100(constB137) | (~v90(constB137, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB136, 1) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 1))))),
% 54.68/34.87 inference(monotonicity,[status(thm)],[27015])).
% 54.68/34.87 tff(27017,plain,
% 54.68/34.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB136, constB137)) | v90(constB136, 1) | v100(constB137) | (~v90(constB137, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB136, 1) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 1)))),
% 54.68/34.87 inference(transitivity,[status(thm)],[27016, 27014])).
% 54.68/34.87 tff(27018,plain,
% 54.68/34.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB136, constB137)) | v90(constB136, 1) | v100(constB137) | (~v90(constB137, 1)))),
% 54.68/34.87 inference(quant_inst,[status(thm)],[])).
% 54.68/34.87 tff(27019,plain,
% 54.68/34.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB136, 1) | (~nextState(constB136, constB137)) | v100(constB137) | (~v90(constB137, 1))),
% 54.68/34.87 inference(modus_ponens,[status(thm)],[27018, 27017])).
% 54.68/34.87 tff(27020,plain,
% 54.68/34.87 (v90(constB136, 1) | v100(constB137) | (~v90(constB137, 1))),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[27019, 926, 23378])).
% 54.68/34.87 tff(27021,plain,
% 54.68/34.87 (v90(constB136, 1) | (~v90(constB137, 1))),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[27020, 23390])).
% 54.68/34.87 tff(27022,plain,
% 54.68/34.87 (v90(constB136, 1)),
% 54.68/34.87 inference(unit_resolution,[status(thm)],[27021, 27013])).
% 54.68/34.87 tff(27023,plain,
% 54.68/34.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB135, 1) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB135, 1) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, 1)))),
% 54.68/34.87 inference(rewrite,[status(thm)],[])).
% 54.68/34.87 tff(27024,plain,
% 54.68/34.87 (((~nextState(constB135, constB136)) | v90(constB135, 1) | v100(constB136) | (~v90(constB136, 1))) <=> (v90(constB135, 1) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, 1)))),
% 54.68/34.87 inference(rewrite,[status(thm)],[])).
% 54.68/34.87 tff(27025,plain,
% 54.68/34.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB135, constB136)) | v90(constB135, 1) | v100(constB136) | (~v90(constB136, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB135, 1) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, 1))))),
% 54.68/34.88 inference(monotonicity,[status(thm)],[27024])).
% 54.68/34.88 tff(27026,plain,
% 54.68/34.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB135, constB136)) | v90(constB135, 1) | v100(constB136) | (~v90(constB136, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB135, 1) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, 1)))),
% 54.68/34.88 inference(transitivity,[status(thm)],[27025, 27023])).
% 54.68/34.88 tff(27027,plain,
% 54.68/34.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB135, constB136)) | v90(constB135, 1) | v100(constB136) | (~v90(constB136, 1)))),
% 54.68/34.88 inference(quant_inst,[status(thm)],[])).
% 54.68/34.88 tff(27028,plain,
% 54.68/34.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB135, 1) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, 1))),
% 54.68/34.88 inference(modus_ponens,[status(thm)],[27027, 27026])).
% 54.68/34.88 tff(27029,plain,
% 54.68/34.88 (v90(constB135, 1) | v100(constB136) | (~v90(constB136, 1))),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[27028, 926, 22617])).
% 54.68/34.88 tff(27030,plain,
% 54.68/34.88 (v90(constB135, 1)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[27029, 27022, 22614])).
% 54.68/34.88 tff(27031,plain,
% 54.68/34.88 (v90(constB134, 1)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[22576, 27030])).
% 54.68/34.88 tff(27032,plain,
% 54.68/34.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB137, 2) | (~nextState(constB137, constB138)) | v100(constB138) | (~v90(constB138, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB137, 2) | (~nextState(constB137, constB138)) | v100(constB138) | (~v90(constB138, 2)))),
% 54.68/34.88 inference(rewrite,[status(thm)],[])).
% 54.68/34.88 tff(27033,plain,
% 54.68/34.88 (((~nextState(constB137, constB138)) | v90(constB137, 2) | v100(constB138) | (~v90(constB138, 2))) <=> (v90(constB137, 2) | (~nextState(constB137, constB138)) | v100(constB138) | (~v90(constB138, 2)))),
% 54.68/34.88 inference(rewrite,[status(thm)],[])).
% 54.68/34.88 tff(27034,plain,
% 54.68/34.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB137, constB138)) | v90(constB137, 2) | v100(constB138) | (~v90(constB138, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB137, 2) | (~nextState(constB137, constB138)) | v100(constB138) | (~v90(constB138, 2))))),
% 54.68/34.88 inference(monotonicity,[status(thm)],[27033])).
% 54.68/34.88 tff(27035,plain,
% 54.68/34.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB137, constB138)) | v90(constB137, 2) | v100(constB138) | (~v90(constB138, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB137, 2) | (~nextState(constB137, constB138)) | v100(constB138) | (~v90(constB138, 2)))),
% 54.68/34.88 inference(transitivity,[status(thm)],[27034, 27032])).
% 54.68/34.88 tff(27036,plain,
% 54.68/34.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB137, constB138)) | v90(constB137, 2) | v100(constB138) | (~v90(constB138, 2)))),
% 54.68/34.88 inference(quant_inst,[status(thm)],[])).
% 54.68/34.88 tff(27037,plain,
% 54.68/34.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB137, 2) | (~nextState(constB137, constB138)) | v100(constB138) | (~v90(constB138, 2))),
% 54.68/34.88 inference(modus_ponens,[status(thm)],[27036, 27035])).
% 54.68/34.88 tff(27038,plain,
% 54.68/34.88 (v90(constB137, 2) | v100(constB138) | (~v90(constB138, 2))),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[27037, 905, 23497])).
% 54.68/34.88 tff(27039,plain,
% 54.68/34.88 (v90(constB137, 2)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[27038, 23503, 26902])).
% 54.68/34.88 tff(27040,plain,
% 54.68/34.88 (v90(constB136, 2)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[23472, 27039])).
% 54.68/34.88 tff(27041,plain,
% 54.68/34.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB135, 2) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB135, 2) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, 2)))),
% 54.68/34.88 inference(rewrite,[status(thm)],[])).
% 54.68/34.88 tff(27042,plain,
% 54.68/34.88 (((~nextState(constB135, constB136)) | v90(constB135, 2) | v100(constB136) | (~v90(constB136, 2))) <=> (v90(constB135, 2) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, 2)))),
% 54.68/34.88 inference(rewrite,[status(thm)],[])).
% 54.68/34.88 tff(27043,plain,
% 54.68/34.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB135, constB136)) | v90(constB135, 2) | v100(constB136) | (~v90(constB136, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB135, 2) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, 2))))),
% 54.68/34.88 inference(monotonicity,[status(thm)],[27042])).
% 54.68/34.88 tff(27044,plain,
% 54.68/34.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB135, constB136)) | v90(constB135, 2) | v100(constB136) | (~v90(constB136, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB135, 2) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, 2)))),
% 54.68/34.88 inference(transitivity,[status(thm)],[27043, 27041])).
% 54.68/34.88 tff(27045,plain,
% 54.68/34.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB135, constB136)) | v90(constB135, 2) | v100(constB136) | (~v90(constB136, 2)))),
% 54.68/34.88 inference(quant_inst,[status(thm)],[])).
% 54.68/34.88 tff(27046,plain,
% 54.68/34.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB135, 2) | (~nextState(constB135, constB136)) | v100(constB136) | (~v90(constB136, 2))),
% 54.68/34.88 inference(modus_ponens,[status(thm)],[27045, 27044])).
% 54.68/34.88 tff(27047,plain,
% 54.68/34.88 (v90(constB135, 2) | v100(constB136) | (~v90(constB136, 2))),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[27046, 905, 22617])).
% 54.68/34.88 tff(27048,plain,
% 54.68/34.88 (v90(constB135, 2)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[27047, 27040, 22614])).
% 54.68/34.88 tff(27049,plain,
% 54.68/34.88 (v90(constB134, 2)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[22511, 27048])).
% 54.68/34.88 tff(27050,assumption,(v100(constB134)), introduced(assumption)).
% 54.68/34.88 tff(27051,assumption,(v90(constB134, 2)), introduced(assumption)).
% 54.68/34.88 tff(27052,plain,
% 54.68/34.88 (v129(constB134, 2) | (~v100(constB134))),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[22484, 1223, 27051])).
% 54.68/34.88 tff(27053,plain,
% 54.68/34.88 (v129(constB134, 2)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[27052, 27050])).
% 54.68/34.88 tff(27054,plain,
% 54.68/34.88 (v127(constB133, 2)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[22411, 27053])).
% 54.68/34.88 tff(27055,plain,
% 54.68/34.88 (v130(constB133, 2)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[22403, 27054])).
% 54.68/34.88 tff(27056,plain,
% 54.68/34.88 (v129(constB134, 0)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[23239, 27050])).
% 54.68/34.88 tff(27057,plain,
% 54.68/34.88 (v127(constB133, 0)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[22874, 27056])).
% 54.68/34.88 tff(27058,plain,
% 54.68/34.88 (v130(constB133, 0)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[22869, 27057])).
% 54.68/34.88 tff(27059,plain,
% 54.68/34.88 (~v124(constB133)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[23245, 3274, 27058])).
% 54.68/34.88 tff(27060,assumption,(v90(constB134, 1)), introduced(assumption)).
% 54.68/34.88 tff(27061,plain,
% 54.68/34.88 (v129(constB134, 1) | (~v100(constB134))),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[22567, 1309, 27060])).
% 54.68/34.88 tff(27062,plain,
% 54.68/34.88 (v129(constB134, 1)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[27061, 27050])).
% 54.68/34.88 tff(27063,plain,
% 54.68/34.88 (v127(constB133, 1)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[22560, 27062])).
% 54.68/34.88 tff(27064,plain,
% 54.68/34.88 (v130(constB133, 1)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[22555, 27063])).
% 54.68/34.88 tff(27065,plain,
% 54.68/34.88 (~v123(constB133)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[23166, 2581, 27064])).
% 54.68/34.88 tff(27066,plain,
% 54.68/34.88 (~v122(constB133)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[22861, 2407, 27058])).
% 54.68/34.88 tff(27067,plain,
% 54.68/34.88 (~v120(constB133)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[23249, 1657, 27058])).
% 54.68/34.88 tff(27068,plain,
% 54.68/34.88 (v121(constB133)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[22390, 2904, 22309, 27067, 27066, 27065, 27059, 27055])).
% 54.68/34.88 tff(27069,plain,
% 54.68/34.88 ($false),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[22932, 1821, 27068, 27055])).
% 54.68/34.88 tff(27070,plain,((~v100(constB134)) | v119(constB133) | (~v90(constB134, 2)) | (~v90(constB134, 1)) | (~v90(constB134, 0))), inference(lemma,lemma(discharge,[]))).
% 54.68/34.88 tff(27071,plain,
% 54.68/34.88 (~v100(constB134)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[27070, 27049, 22309, 27031, 22992])).
% 54.68/34.88 tff(27072,plain,
% 54.68/34.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB133, 0) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB133, 0) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, 0)))),
% 54.68/34.88 inference(rewrite,[status(thm)],[])).
% 54.68/34.88 tff(27073,plain,
% 54.68/34.88 (((~nextState(constB133, constB134)) | v90(constB133, 0) | v100(constB134) | (~v90(constB134, 0))) <=> (v90(constB133, 0) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, 0)))),
% 54.68/34.88 inference(rewrite,[status(thm)],[])).
% 54.68/34.88 tff(27074,plain,
% 54.68/34.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB133, constB134)) | v90(constB133, 0) | v100(constB134) | (~v90(constB134, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB133, 0) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, 0))))),
% 54.68/34.88 inference(monotonicity,[status(thm)],[27073])).
% 54.68/34.88 tff(27075,plain,
% 54.68/34.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB133, constB134)) | v90(constB133, 0) | v100(constB134) | (~v90(constB134, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB133, 0) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, 0)))),
% 54.68/34.88 inference(transitivity,[status(thm)],[27074, 27072])).
% 54.68/34.88 tff(27076,plain,
% 54.68/34.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB133, constB134)) | v90(constB133, 0) | v100(constB134) | (~v90(constB134, 0)))),
% 54.68/34.88 inference(quant_inst,[status(thm)],[])).
% 54.68/34.88 tff(27077,plain,
% 54.68/34.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB133, 0) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, 0))),
% 54.68/34.88 inference(modus_ponens,[status(thm)],[27076, 27075])).
% 54.68/34.88 tff(27078,plain,
% 54.68/34.88 (v90(constB133, 0) | v100(constB134) | (~v90(constB134, 0))),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[27077, 947, 22407])).
% 54.68/34.88 tff(27079,plain,
% 54.68/34.88 (v90(constB133, 0)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[27078, 27071, 22992])).
% 54.68/34.88 tff(27080,plain,
% 54.68/34.88 (v90(constB132, 0)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[22318, 27079])).
% 54.68/34.88 tff(27081,plain,
% 54.68/34.88 (v90(constB133, 1)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[23231, 27071, 27031])).
% 54.68/34.88 tff(27082,plain,
% 54.68/34.88 (v90(constB132, 1)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[23023, 27081])).
% 54.68/34.88 tff(27083,plain,
% 54.68/34.88 (~v110(constB134)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[22480, 27071])).
% 54.68/34.88 tff(27084,plain,
% 54.68/34.88 (~v108(constB133)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[22457, 27083])).
% 54.68/34.88 tff(27085,plain,
% 54.68/34.88 (~v113(constB133)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[22449, 27084])).
% 54.68/34.88 tff(27086,plain,
% 54.68/34.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB133, 2) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB133, 2) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, 2)))),
% 54.68/34.88 inference(rewrite,[status(thm)],[])).
% 54.68/34.88 tff(27087,plain,
% 54.68/34.88 (((~nextState(constB133, constB134)) | v90(constB133, 2) | v100(constB134) | (~v90(constB134, 2))) <=> (v90(constB133, 2) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, 2)))),
% 54.68/34.88 inference(rewrite,[status(thm)],[])).
% 54.68/34.88 tff(27088,plain,
% 54.68/34.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB133, constB134)) | v90(constB133, 2) | v100(constB134) | (~v90(constB134, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB133, 2) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, 2))))),
% 54.68/34.88 inference(monotonicity,[status(thm)],[27087])).
% 54.68/34.88 tff(27089,plain,
% 54.68/34.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB133, constB134)) | v90(constB133, 2) | v100(constB134) | (~v90(constB134, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB133, 2) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, 2)))),
% 54.68/34.88 inference(transitivity,[status(thm)],[27088, 27086])).
% 54.68/34.88 tff(27090,plain,
% 54.68/34.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB133, constB134)) | v90(constB133, 2) | v100(constB134) | (~v90(constB134, 2)))),
% 54.68/34.88 inference(quant_inst,[status(thm)],[])).
% 54.68/34.88 tff(27091,plain,
% 54.68/34.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB133, 2) | (~nextState(constB133, constB134)) | v100(constB134) | (~v90(constB134, 2))),
% 54.68/34.88 inference(modus_ponens,[status(thm)],[27090, 27089])).
% 54.68/34.88 tff(27092,plain,
% 54.68/34.88 (v90(constB133, 2) | v100(constB134) | (~v90(constB134, 2))),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[27091, 905, 22407])).
% 54.68/34.88 tff(27093,plain,
% 54.68/34.88 (v90(constB133, 2)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[27092, 27071, 27049])).
% 54.68/34.88 tff(27094,plain,
% 54.68/34.88 (v90(constB132, 2)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[23115, 27093])).
% 54.68/34.88 tff(27095,assumption,(v90(constB132, 2)), introduced(assumption)).
% 54.68/34.88 tff(27096,plain,
% 54.68/34.88 (v100(constB132)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[23123, 23038, 27095])).
% 54.68/34.88 tff(27097,assumption,(v90(constB132, 0)), introduced(assumption)).
% 54.68/34.88 tff(27098,plain,
% 54.68/34.88 (v129(constB132, 0) | (~v100(constB132))),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[22293, 1704, 27097])).
% 54.68/34.88 tff(27099,plain,
% 54.68/34.88 (v129(constB132, 0)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[27098, 27096])).
% 54.68/34.88 tff(27100,plain,
% 54.68/34.88 (v127(constB131, 0)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[22286, 27099])).
% 54.68/34.88 tff(27101,plain,
% 54.68/34.88 (v130(constB131, 0)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[22281, 27100])).
% 54.68/34.88 tff(27102,plain,
% 54.68/34.88 (~v124(constB131)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[22273, 3274, 27101])).
% 54.68/34.88 tff(27103,plain,
% 54.68/34.88 (v130(constB131, 1)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[23156, 23038, 23039])).
% 54.68/34.88 tff(27104,plain,
% 54.68/34.88 (~v123(constB131)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[23292, 2581, 27103])).
% 54.68/34.88 tff(27105,plain,
% 54.68/34.88 (~v122(constB131)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[23296, 2366, 27103])).
% 54.68/34.88 tff(27106,plain,
% 54.68/34.88 (v129(constB132, 2) | (~v100(constB132))),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[23260, 1223, 27095])).
% 54.68/34.88 tff(27107,plain,
% 54.68/34.88 (v129(constB132, 2)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[27106, 27096])).
% 54.68/34.88 tff(27108,plain,
% 54.68/34.88 (v127(constB131, 2)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[23266, 27107])).
% 54.68/34.88 tff(27109,plain,
% 54.68/34.88 (v130(constB131, 2)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[23274, 27108])).
% 54.68/34.88 tff(27110,plain,
% 54.68/34.88 (~v121(constB131)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[23278, 1821, 27109])).
% 54.68/34.88 tff(27111,plain,
% 54.68/34.88 (~v119(constB131)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[23288, 1262, 27103])).
% 54.68/34.88 tff(27112,plain,
% 54.68/34.88 (~v120(constB131)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[23300, 1523, 27109])).
% 54.68/34.88 tff(27113,plain,
% 54.68/34.88 (v119(constB131) | v120(constB131) | v121(constB131) | v122(constB131) | v123(constB131) | v124(constB131)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[23304, 3309, 27103])).
% 54.68/34.88 tff(27114,plain,
% 54.68/34.88 ($false),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[27113, 27112, 27111, 27110, 27105, 27104, 27102])).
% 54.68/34.88 tff(27115,plain,(v90(constB131, 2) | (~v90(constB132, 0)) | (~v90(constB132, 2)) | v113(constB133)), inference(lemma,lemma(discharge,[]))).
% 54.68/34.88 tff(27116,plain,
% 54.68/34.88 (v90(constB131, 2)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[27115, 27080, 27094, 27085])).
% 54.68/34.88 tff(27117,plain,
% 54.68/34.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB130, 2) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB130, 2) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, 2)))),
% 54.68/34.88 inference(rewrite,[status(thm)],[])).
% 54.68/34.88 tff(27118,plain,
% 54.68/34.88 (((~nextState(constB130, constB131)) | v90(constB130, 2) | v100(constB131) | (~v90(constB131, 2))) <=> (v90(constB130, 2) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, 2)))),
% 54.68/34.88 inference(rewrite,[status(thm)],[])).
% 54.68/34.88 tff(27119,plain,
% 54.68/34.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB130, constB131)) | v90(constB130, 2) | v100(constB131) | (~v90(constB131, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB130, 2) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, 2))))),
% 54.68/34.88 inference(monotonicity,[status(thm)],[27118])).
% 54.68/34.88 tff(27120,plain,
% 54.68/34.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB130, constB131)) | v90(constB130, 2) | v100(constB131) | (~v90(constB131, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB130, 2) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, 2)))),
% 54.68/34.88 inference(transitivity,[status(thm)],[27119, 27117])).
% 54.68/34.88 tff(27121,plain,
% 54.68/34.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB130, constB131)) | v90(constB130, 2) | v100(constB131) | (~v90(constB131, 2)))),
% 54.68/34.88 inference(quant_inst,[status(thm)],[])).
% 54.68/34.88 tff(27122,plain,
% 54.68/34.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB130, 2) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, 2))),
% 54.68/34.88 inference(modus_ponens,[status(thm)],[27121, 27120])).
% 54.68/34.88 tff(27123,plain,
% 54.68/34.88 (v90(constB130, 2) | v100(constB131) | (~v90(constB131, 2))),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[27122, 905, 22020])).
% 54.68/34.88 tff(27124,plain,
% 54.68/34.88 (v90(constB130, 2) | (~v90(constB131, 2))),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[27123, 22032])).
% 54.68/34.88 tff(27125,plain,
% 54.68/34.88 (v90(constB130, 2)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[27124, 27116])).
% 54.68/34.88 tff(27126,assumption,(v121(constB129)), introduced(assumption)).
% 54.68/34.88 tff(27127,plain,
% 54.68/34.88 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB129) | (~v121(constB129)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB129) | (~v121(constB129)))),
% 54.68/34.88 inference(rewrite,[status(thm)],[])).
% 54.68/34.88 tff(27128,plain,
% 54.68/34.88 (((~v121(constB129)) | v117(constB129)) <=> (v117(constB129) | (~v121(constB129)))),
% 54.68/34.88 inference(rewrite,[status(thm)],[])).
% 54.68/34.88 tff(27129,plain,
% 54.68/34.88 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB129)) | v117(constB129))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB129) | (~v121(constB129))))),
% 54.68/34.88 inference(monotonicity,[status(thm)],[27128])).
% 54.68/34.88 tff(27130,plain,
% 54.68/34.88 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB129)) | v117(constB129))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB129) | (~v121(constB129)))),
% 54.68/34.88 inference(transitivity,[status(thm)],[27129, 27127])).
% 54.68/34.88 tff(27131,plain,
% 54.68/34.88 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB129)) | v117(constB129))),
% 54.68/34.88 inference(quant_inst,[status(thm)],[])).
% 54.68/34.88 tff(27132,plain,
% 54.68/34.88 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB129) | (~v121(constB129))),
% 54.68/34.88 inference(modus_ponens,[status(thm)],[27131, 27130])).
% 54.68/34.88 tff(27133,plain,
% 54.68/34.88 (v117(constB129)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[27132, 1742, 27126])).
% 54.68/34.88 tff(27134,plain,
% 54.68/34.88 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB129) | (~v117(constB129)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB129) | (~v117(constB129)))),
% 54.68/34.88 inference(rewrite,[status(thm)],[])).
% 54.68/34.88 tff(27135,plain,
% 54.68/34.88 (((~v117(constB129)) | v116(constB129)) <=> (v116(constB129) | (~v117(constB129)))),
% 54.68/34.88 inference(rewrite,[status(thm)],[])).
% 54.68/34.88 tff(27136,plain,
% 54.68/34.88 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB129)) | v116(constB129))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB129) | (~v117(constB129))))),
% 54.68/34.88 inference(monotonicity,[status(thm)],[27135])).
% 54.68/34.88 tff(27137,plain,
% 54.68/34.88 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB129)) | v116(constB129))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB129) | (~v117(constB129)))),
% 54.68/34.88 inference(transitivity,[status(thm)],[27136, 27134])).
% 54.68/34.88 tff(27138,plain,
% 54.68/34.88 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB129)) | v116(constB129))),
% 54.68/34.88 inference(quant_inst,[status(thm)],[])).
% 54.68/34.88 tff(27139,plain,
% 54.68/34.88 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB129) | (~v117(constB129))),
% 54.68/34.88 inference(modus_ponens,[status(thm)],[27138, 27137])).
% 54.68/34.88 tff(27140,plain,
% 54.68/34.88 (v116(constB129)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[27139, 1007, 27133])).
% 54.68/34.88 tff(27141,plain,
% 54.68/34.88 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB129) | (~v116(constB129)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB129) | (~v116(constB129)))),
% 54.68/34.88 inference(rewrite,[status(thm)],[])).
% 54.68/34.88 tff(27142,plain,
% 54.68/34.88 (((~v116(constB129)) | v115(constB129)) <=> (v115(constB129) | (~v116(constB129)))),
% 54.68/34.88 inference(rewrite,[status(thm)],[])).
% 54.68/34.88 tff(27143,plain,
% 54.68/34.88 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB129)) | v115(constB129))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB129) | (~v116(constB129))))),
% 54.68/34.88 inference(monotonicity,[status(thm)],[27142])).
% 54.68/34.88 tff(27144,plain,
% 54.68/34.88 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB129)) | v115(constB129))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB129) | (~v116(constB129)))),
% 54.68/34.88 inference(transitivity,[status(thm)],[27143, 27141])).
% 54.68/34.88 tff(27145,plain,
% 54.68/34.88 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB129)) | v115(constB129))),
% 54.68/34.88 inference(quant_inst,[status(thm)],[])).
% 54.68/34.88 tff(27146,plain,
% 54.68/34.88 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB129) | (~v116(constB129))),
% 54.68/34.88 inference(modus_ponens,[status(thm)],[27145, 27144])).
% 54.68/34.88 tff(27147,plain,
% 54.68/34.88 (v115(constB129)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[27146, 1021, 27140])).
% 54.68/34.88 tff(27148,plain,
% 54.68/34.88 (v114(constB129)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[21934, 1035, 27147])).
% 54.68/34.88 tff(27149,plain,
% 54.68/34.88 (v113(constB129)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[21938, 1049, 27148])).
% 54.68/34.88 tff(27150,plain,
% 54.68/34.88 (v112(constB129)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[21950, 27149])).
% 54.68/34.88 tff(27151,plain,
% 54.68/34.88 (v108(constB129)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[21957, 1075, 27150])).
% 54.68/34.88 tff(27152,plain,
% 54.68/34.88 (v110(constB130)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[21968, 27151])).
% 54.68/34.88 tff(27153,plain,
% 54.68/34.88 (v100(constB130)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[21991, 27152])).
% 54.68/34.88 tff(27154,plain,
% 54.68/34.88 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB129)) | (~v130(constB129, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB129)) | (~v130(constB129, 2)))),
% 54.68/34.88 inference(rewrite,[status(thm)],[])).
% 54.68/34.88 tff(27155,plain,
% 54.68/34.88 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB129)) | (~v130(constB129, 2)))),
% 54.68/34.88 inference(quant_inst,[status(thm)],[])).
% 54.68/34.88 tff(27156,plain,
% 54.68/34.88 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB129)) | (~v130(constB129, 2))),
% 54.68/34.88 inference(modus_ponens,[status(thm)],[27155, 27154])).
% 54.68/34.88 tff(27157,plain,
% 54.68/34.88 (~v130(constB129, 2)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[27156, 1821, 27126])).
% 54.68/34.88 tff(27158,plain,
% 54.68/34.88 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB129, 2)) | v26(constB129) | v130(constB129, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB129, 2)) | v26(constB129) | v130(constB129, 2))),
% 54.68/34.88 inference(rewrite,[status(thm)],[])).
% 54.68/34.88 tff(27159,plain,
% 54.68/34.88 ((v26(constB129) | v130(constB129, 2) | (~v127(constB129, 2))) <=> ((~v127(constB129, 2)) | v26(constB129) | v130(constB129, 2))),
% 54.68/34.88 inference(rewrite,[status(thm)],[])).
% 54.68/34.88 tff(27160,plain,
% 54.68/34.88 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB129) | v130(constB129, 2) | (~v127(constB129, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB129, 2)) | v26(constB129) | v130(constB129, 2)))),
% 54.68/34.88 inference(monotonicity,[status(thm)],[27159])).
% 54.68/34.88 tff(27161,plain,
% 54.68/34.88 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB129) | v130(constB129, 2) | (~v127(constB129, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB129, 2)) | v26(constB129) | v130(constB129, 2))),
% 54.68/34.88 inference(transitivity,[status(thm)],[27160, 27158])).
% 54.68/34.88 tff(27162,plain,
% 54.68/34.88 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB129) | v130(constB129, 2) | (~v127(constB129, 2)))),
% 54.68/34.88 inference(quant_inst,[status(thm)],[])).
% 54.68/34.88 tff(27163,plain,
% 54.68/34.88 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB129, 2)) | v26(constB129) | v130(constB129, 2)),
% 54.68/34.88 inference(modus_ponens,[status(thm)],[27162, 27161])).
% 54.68/34.88 tff(27164,plain,
% 54.68/34.88 ((~v127(constB129, 2)) | v130(constB129, 2)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[27163, 1190, 21943])).
% 54.68/34.88 tff(27165,plain,
% 54.68/34.88 (~v127(constB129, 2)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[27164, 27157])).
% 54.68/34.88 tff(27166,plain,
% 54.68/34.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB129, constB130)) | v127(constB129, 2) | (~v129(constB130, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB129, constB130)) | v127(constB129, 2) | (~v129(constB130, 2)))),
% 54.68/34.88 inference(rewrite,[status(thm)],[])).
% 54.68/34.88 tff(27167,plain,
% 54.68/34.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB129, constB130)) | v127(constB129, 2) | (~v129(constB130, 2)))),
% 54.68/34.88 inference(quant_inst,[status(thm)],[])).
% 54.68/34.88 tff(27168,plain,
% 54.68/34.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB129, constB130)) | v127(constB129, 2) | (~v129(constB130, 2))),
% 54.68/34.88 inference(modus_ponens,[status(thm)],[27167, 27166])).
% 54.68/34.88 tff(27169,plain,
% 54.68/34.88 (v127(constB129, 2) | (~v129(constB130, 2))),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[27168, 1208, 21961])).
% 54.68/34.88 tff(27170,plain,
% 54.68/34.88 (~v129(constB130, 2)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[27169, 27165])).
% 54.68/34.88 tff(27171,plain,
% 54.68/34.88 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB130, 2)) | v129(constB130, 2) | (~v100(constB130)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB130, 2)) | v129(constB130, 2) | (~v100(constB130)))),
% 54.68/34.88 inference(rewrite,[status(thm)],[])).
% 54.68/34.88 tff(27172,plain,
% 54.68/34.88 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB130, 2)) | v129(constB130, 2) | (~v100(constB130)))),
% 54.68/34.88 inference(quant_inst,[status(thm)],[])).
% 54.68/34.88 tff(27173,plain,
% 54.68/34.88 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB130, 2)) | v129(constB130, 2) | (~v100(constB130))),
% 54.68/34.88 inference(modus_ponens,[status(thm)],[27172, 27171])).
% 54.68/34.88 tff(27174,plain,
% 54.68/34.88 ((~v90(constB130, 2)) | (~v100(constB130))),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[27173, 1223, 27170])).
% 54.68/34.88 tff(27175,plain,
% 54.68/34.88 (~v90(constB130, 2)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[27174, 27153])).
% 54.68/34.88 tff(27176,plain,
% 54.68/34.88 (~v90(constB131, 2)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[27124, 27175])).
% 54.68/34.88 tff(27177,plain,
% 54.68/34.88 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB129)) | v130(constB129, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB129)) | v130(constB129, 1))),
% 54.68/34.88 inference(rewrite,[status(thm)],[])).
% 54.68/34.88 tff(27178,plain,
% 54.68/34.88 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB129)) | v130(constB129, 1))),
% 54.68/34.88 inference(quant_inst,[status(thm)],[])).
% 54.68/34.88 tff(27179,plain,
% 54.68/34.88 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB129)) | v130(constB129, 1)),
% 54.68/34.88 inference(modus_ponens,[status(thm)],[27178, 27177])).
% 54.68/34.88 tff(27180,plain,
% 54.68/34.88 (v130(constB129, 1)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[27179, 1877, 27126])).
% 54.68/34.88 tff(27181,plain,
% 54.68/34.88 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB129) | (~v130(constB129, 1)) | v127(constB129, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB129) | (~v130(constB129, 1)) | v127(constB129, 1))),
% 54.68/34.88 inference(rewrite,[status(thm)],[])).
% 54.68/34.88 tff(27182,plain,
% 54.68/34.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB129) | (~v130(constB129, 1)) | v127(constB129, 1))),
% 54.68/34.88 inference(quant_inst,[status(thm)],[])).
% 54.68/34.88 tff(27183,plain,
% 54.68/34.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB129) | (~v130(constB129, 1)) | v127(constB129, 1)),
% 54.68/34.88 inference(modus_ponens,[status(thm)],[27182, 27181])).
% 54.68/34.88 tff(27184,plain,
% 54.68/34.88 ((~v130(constB129, 1)) | v127(constB129, 1)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[27183, 1593, 21943])).
% 54.68/34.88 tff(27185,plain,
% 54.68/34.88 (v127(constB129, 1)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[27184, 27180])).
% 54.68/34.88 tff(27186,plain,
% 54.68/34.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB129, constB130)) | (~v127(constB129, 1)) | v129(constB130, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB129, constB130)) | (~v127(constB129, 1)) | v129(constB130, 1))),
% 54.68/34.88 inference(rewrite,[status(thm)],[])).
% 54.68/34.88 tff(27187,plain,
% 54.68/34.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB129, constB130)) | (~v127(constB129, 1)) | v129(constB130, 1))),
% 54.68/34.88 inference(quant_inst,[status(thm)],[])).
% 54.68/34.88 tff(27188,plain,
% 54.68/34.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB129, constB130)) | (~v127(constB129, 1)) | v129(constB130, 1)),
% 54.68/34.88 inference(modus_ponens,[status(thm)],[27187, 27186])).
% 54.68/34.88 tff(27189,plain,
% 54.68/34.88 ((~v127(constB129, 1)) | v129(constB130, 1)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[27188, 1608, 21961])).
% 54.68/34.88 tff(27190,plain,
% 54.68/34.88 (v129(constB130, 1)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[27189, 27185])).
% 54.68/34.88 tff(27191,plain,
% 54.68/34.88 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB130, 1) | (~v129(constB130, 1)) | (~v100(constB130)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB130, 1) | (~v129(constB130, 1)) | (~v100(constB130)))),
% 54.68/34.88 inference(rewrite,[status(thm)],[])).
% 54.68/34.88 tff(27192,plain,
% 54.68/34.88 ((v90(constB130, 1) | (~v100(constB130)) | (~v129(constB130, 1))) <=> (v90(constB130, 1) | (~v129(constB130, 1)) | (~v100(constB130)))),
% 54.68/34.88 inference(rewrite,[status(thm)],[])).
% 54.68/34.88 tff(27193,plain,
% 54.68/34.88 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB130, 1) | (~v100(constB130)) | (~v129(constB130, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB130, 1) | (~v129(constB130, 1)) | (~v100(constB130))))),
% 54.68/34.88 inference(monotonicity,[status(thm)],[27192])).
% 54.68/34.88 tff(27194,plain,
% 54.68/34.88 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB130, 1) | (~v100(constB130)) | (~v129(constB130, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB130, 1) | (~v129(constB130, 1)) | (~v100(constB130)))),
% 54.68/34.88 inference(transitivity,[status(thm)],[27193, 27191])).
% 54.68/34.88 tff(27195,plain,
% 54.68/34.88 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB130, 1) | (~v100(constB130)) | (~v129(constB130, 1)))),
% 54.68/34.88 inference(quant_inst,[status(thm)],[])).
% 54.68/34.88 tff(27196,plain,
% 54.68/34.88 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB130, 1) | (~v129(constB130, 1)) | (~v100(constB130))),
% 54.68/34.88 inference(modus_ponens,[status(thm)],[27195, 27194])).
% 54.68/34.88 tff(27197,plain,
% 54.68/34.88 (v90(constB130, 1) | (~v100(constB130))),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[27196, 1623, 27190])).
% 54.68/34.88 tff(27198,plain,
% 54.68/34.88 (v90(constB130, 1)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[27197, 27153])).
% 54.68/34.88 tff(27199,plain,
% 54.68/34.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB130, 1)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB130, 1)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, 1))),
% 54.68/34.88 inference(rewrite,[status(thm)],[])).
% 54.68/34.88 tff(27200,plain,
% 54.68/34.88 (((~nextState(constB130, constB131)) | (~v90(constB130, 1)) | v100(constB131) | v90(constB131, 1)) <=> ((~v90(constB130, 1)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, 1))),
% 54.68/34.88 inference(rewrite,[status(thm)],[])).
% 54.68/34.88 tff(27201,plain,
% 54.68/34.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB130, constB131)) | (~v90(constB130, 1)) | v100(constB131) | v90(constB131, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB130, 1)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, 1)))),
% 54.68/34.88 inference(monotonicity,[status(thm)],[27200])).
% 54.68/34.88 tff(27202,plain,
% 54.68/34.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB130, constB131)) | (~v90(constB130, 1)) | v100(constB131) | v90(constB131, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB130, 1)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, 1))),
% 54.68/34.88 inference(transitivity,[status(thm)],[27201, 27199])).
% 54.68/34.88 tff(27203,plain,
% 54.68/34.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB130, constB131)) | (~v90(constB130, 1)) | v100(constB131) | v90(constB131, 1))),
% 54.68/34.88 inference(quant_inst,[status(thm)],[])).
% 54.68/34.88 tff(27204,plain,
% 54.68/34.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB130, 1)) | (~nextState(constB130, constB131)) | v100(constB131) | v90(constB131, 1)),
% 54.68/34.88 inference(modus_ponens,[status(thm)],[27203, 27202])).
% 54.68/34.88 tff(27205,plain,
% 54.68/34.88 ((~v90(constB130, 1)) | v100(constB131) | v90(constB131, 1)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[27204, 1641, 22020])).
% 54.68/34.88 tff(27206,plain,
% 54.68/34.88 ((~v90(constB130, 1)) | v90(constB131, 1)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[27205, 22032])).
% 54.68/34.88 tff(27207,plain,
% 54.68/34.88 (v90(constB131, 1)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[27206, 27198])).
% 54.68/34.88 tff(27208,plain,
% 54.68/34.88 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB129)) | v130(constB129, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB129)) | v130(constB129, 0))),
% 54.68/34.88 inference(rewrite,[status(thm)],[])).
% 54.68/34.88 tff(27209,plain,
% 54.68/34.88 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB129)) | v130(constB129, 0))),
% 54.68/34.88 inference(quant_inst,[status(thm)],[])).
% 54.68/34.88 tff(27210,plain,
% 54.68/34.88 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB129)) | v130(constB129, 0)),
% 54.68/34.88 inference(modus_ponens,[status(thm)],[27209, 27208])).
% 54.68/34.88 tff(27211,plain,
% 54.68/34.88 (v130(constB129, 0)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[27210, 1915, 27126])).
% 54.68/34.88 tff(27212,plain,
% 54.68/34.88 (v127(constB129, 0)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[22083, 27211])).
% 54.68/34.88 tff(27213,plain,
% 54.68/34.88 (v129(constB130, 0)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[22088, 27212])).
% 54.68/34.88 tff(27214,plain,
% 54.68/34.88 (v90(constB130, 0) | (~v100(constB130))),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[22095, 1377, 27213])).
% 54.68/34.88 tff(27215,plain,
% 54.68/34.88 (v90(constB130, 0)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[27214, 27153])).
% 54.68/34.88 tff(27216,plain,
% 54.68/34.88 (v90(constB131, 0)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[22105, 27215])).
% 54.68/34.88 tff(27217,plain,
% 54.68/34.88 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB131, 0)) | (~v90(constB131, 1)) | v90(constB131, 2) | v122(constB131))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB131, 0)) | (~v90(constB131, 1)) | v90(constB131, 2) | v122(constB131))),
% 54.68/34.88 inference(rewrite,[status(thm)],[])).
% 54.68/34.88 tff(27218,plain,
% 54.68/34.88 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB131, 0)) | (~v90(constB131, 1)) | v90(constB131, 2) | v122(constB131))),
% 54.68/34.88 inference(quant_inst,[status(thm)],[])).
% 54.68/34.88 tff(27219,plain,
% 54.68/34.88 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB131, 0)) | (~v90(constB131, 1)) | v90(constB131, 2) | v122(constB131)),
% 54.68/34.88 inference(modus_ponens,[status(thm)],[27218, 27217])).
% 54.68/34.88 tff(27220,plain,
% 54.68/34.88 (v122(constB131)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[27219, 1956, 27216, 27207, 27176])).
% 54.68/34.88 tff(27221,plain,
% 54.68/34.88 (v130(constB131, 1)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[23156, 27176, 23039])).
% 54.68/34.88 tff(27222,plain,
% 54.68/34.88 ($false),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[23296, 2366, 27221, 27220])).
% 54.68/34.88 tff(27223,plain,((~v121(constB129)) | v113(constB133)), inference(lemma,lemma(discharge,[]))).
% 54.68/34.88 tff(27224,plain,
% 54.68/34.88 (~v121(constB129)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[27223, 27085])).
% 54.68/34.88 tff(27225,assumption,(v90(constB130, 2)), introduced(assumption)).
% 54.68/34.88 tff(27226,assumption,(~v100(constB132)), introduced(assumption)).
% 54.68/34.88 tff(27227,plain,
% 54.68/34.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB131, 0) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB131, 0) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, 0)))),
% 54.68/34.88 inference(rewrite,[status(thm)],[])).
% 54.68/34.88 tff(27228,plain,
% 54.68/34.88 (((~nextState(constB131, constB132)) | v90(constB131, 0) | v100(constB132) | (~v90(constB132, 0))) <=> (v90(constB131, 0) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, 0)))),
% 54.68/34.88 inference(rewrite,[status(thm)],[])).
% 54.68/34.88 tff(27229,plain,
% 54.68/34.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB131, constB132)) | v90(constB131, 0) | v100(constB132) | (~v90(constB132, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB131, 0) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, 0))))),
% 54.68/34.88 inference(monotonicity,[status(thm)],[27228])).
% 54.68/34.88 tff(27230,plain,
% 54.68/34.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB131, constB132)) | v90(constB131, 0) | v100(constB132) | (~v90(constB132, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB131, 0) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, 0)))),
% 54.68/34.88 inference(transitivity,[status(thm)],[27229, 27227])).
% 54.68/34.88 tff(27231,plain,
% 54.68/34.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB131, constB132)) | v90(constB131, 0) | v100(constB132) | (~v90(constB132, 0)))),
% 54.68/34.88 inference(quant_inst,[status(thm)],[])).
% 54.68/34.88 tff(27232,plain,
% 54.68/34.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB131, 0) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, 0))),
% 54.68/34.88 inference(modus_ponens,[status(thm)],[27231, 27230])).
% 54.68/34.88 tff(27233,plain,
% 54.68/34.88 (v90(constB131, 0) | v100(constB132) | (~v90(constB132, 0))),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[27232, 947, 22143])).
% 54.68/34.88 tff(27234,plain,
% 54.68/34.88 (v90(constB131, 0)),
% 54.68/34.88 inference(unit_resolution,[status(thm)],[27233, 27226, 27097])).
% 54.68/34.89 tff(27235,plain,
% 54.68/34.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB130, 0) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB130, 0) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, 0)))),
% 54.68/34.89 inference(rewrite,[status(thm)],[])).
% 54.68/34.89 tff(27236,plain,
% 54.68/34.89 (((~nextState(constB130, constB131)) | v90(constB130, 0) | v100(constB131) | (~v90(constB131, 0))) <=> (v90(constB130, 0) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, 0)))),
% 54.68/34.89 inference(rewrite,[status(thm)],[])).
% 54.68/34.89 tff(27237,plain,
% 54.68/34.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB130, constB131)) | v90(constB130, 0) | v100(constB131) | (~v90(constB131, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB130, 0) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, 0))))),
% 54.68/34.89 inference(monotonicity,[status(thm)],[27236])).
% 54.68/34.89 tff(27238,plain,
% 54.68/34.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB130, constB131)) | v90(constB130, 0) | v100(constB131) | (~v90(constB131, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB130, 0) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, 0)))),
% 54.68/34.89 inference(transitivity,[status(thm)],[27237, 27235])).
% 54.68/34.89 tff(27239,plain,
% 54.68/34.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB130, constB131)) | v90(constB130, 0) | v100(constB131) | (~v90(constB131, 0)))),
% 54.68/34.89 inference(quant_inst,[status(thm)],[])).
% 54.68/34.89 tff(27240,plain,
% 54.68/34.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB130, 0) | (~nextState(constB130, constB131)) | v100(constB131) | (~v90(constB131, 0))),
% 54.68/34.89 inference(modus_ponens,[status(thm)],[27239, 27238])).
% 54.68/34.89 tff(27241,plain,
% 54.68/34.89 (v90(constB130, 0) | v100(constB131) | (~v90(constB131, 0))),
% 54.68/34.89 inference(unit_resolution,[status(thm)],[27240, 947, 22020])).
% 54.68/34.89 tff(27242,plain,
% 54.68/34.89 (v90(constB130, 0) | (~v90(constB131, 0))),
% 54.68/34.89 inference(unit_resolution,[status(thm)],[27241, 22032])).
% 54.68/34.89 tff(27243,plain,
% 54.68/34.89 (v90(constB130, 0)),
% 54.68/34.89 inference(unit_resolution,[status(thm)],[27242, 27234])).
% 54.68/34.89 tff(27244,assumption,(~v100(constB130)), introduced(assumption)).
% 54.68/34.89 tff(27245,plain,
% 54.72/34.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB129, 2) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB129, 2) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, 2)))),
% 54.72/34.89 inference(rewrite,[status(thm)],[])).
% 54.72/34.89 tff(27246,plain,
% 54.72/34.89 (((~nextState(constB129, constB130)) | v90(constB129, 2) | v100(constB130) | (~v90(constB130, 2))) <=> (v90(constB129, 2) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, 2)))),
% 54.72/34.89 inference(rewrite,[status(thm)],[])).
% 54.72/34.89 tff(27247,plain,
% 54.72/34.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB129, constB130)) | v90(constB129, 2) | v100(constB130) | (~v90(constB130, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB129, 2) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, 2))))),
% 54.72/34.89 inference(monotonicity,[status(thm)],[27246])).
% 54.72/34.89 tff(27248,plain,
% 54.72/34.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB129, constB130)) | v90(constB129, 2) | v100(constB130) | (~v90(constB130, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB129, 2) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, 2)))),
% 54.72/34.89 inference(transitivity,[status(thm)],[27247, 27245])).
% 54.72/34.89 tff(27249,plain,
% 54.72/34.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB129, constB130)) | v90(constB129, 2) | v100(constB130) | (~v90(constB130, 2)))),
% 54.72/34.89 inference(quant_inst,[status(thm)],[])).
% 54.72/34.89 tff(27250,plain,
% 54.72/34.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB129, 2) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, 2))),
% 54.72/34.89 inference(modus_ponens,[status(thm)],[27249, 27248])).
% 54.72/34.89 tff(27251,plain,
% 54.72/34.89 (v90(constB129, 2) | v100(constB130) | (~v90(constB130, 2))),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[27250, 905, 21961])).
% 54.72/34.89 tff(27252,plain,
% 54.72/34.89 (v90(constB129, 2)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[27251, 27244, 27225])).
% 54.72/34.89 tff(27253,plain,
% 54.72/34.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB128, 2) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB128, 2) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 2)))),
% 54.72/34.89 inference(rewrite,[status(thm)],[])).
% 54.72/34.89 tff(27254,plain,
% 54.72/34.89 (((~nextState(constB128, constB129)) | v90(constB128, 2) | v100(constB129) | (~v90(constB129, 2))) <=> (v90(constB128, 2) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 2)))),
% 54.72/34.89 inference(rewrite,[status(thm)],[])).
% 54.72/34.89 tff(27255,plain,
% 54.72/34.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB128, constB129)) | v90(constB128, 2) | v100(constB129) | (~v90(constB129, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB128, 2) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 2))))),
% 54.72/34.89 inference(monotonicity,[status(thm)],[27254])).
% 54.72/34.89 tff(27256,plain,
% 54.72/34.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB128, constB129)) | v90(constB128, 2) | v100(constB129) | (~v90(constB129, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB128, 2) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 2)))),
% 54.72/34.89 inference(transitivity,[status(thm)],[27255, 27253])).
% 54.72/34.89 tff(27257,plain,
% 54.72/34.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB128, constB129)) | v90(constB128, 2) | v100(constB129) | (~v90(constB129, 2)))),
% 54.72/34.89 inference(quant_inst,[status(thm)],[])).
% 54.72/34.89 tff(27258,plain,
% 54.72/34.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB128, 2) | (~nextState(constB128, constB129)) | v100(constB129) | (~v90(constB129, 2))),
% 54.72/34.89 inference(modus_ponens,[status(thm)],[27257, 27256])).
% 54.72/34.89 tff(27259,plain,
% 54.72/34.89 (v90(constB128, 2) | v100(constB129) | (~v90(constB129, 2))),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[27258, 905, 21828])).
% 54.72/34.89 tff(27260,plain,
% 54.72/34.89 (v90(constB128, 2) | (~v90(constB129, 2))),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[27259, 21840])).
% 54.72/34.89 tff(27261,plain,
% 54.72/34.89 (v90(constB128, 2)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[27260, 27252])).
% 54.72/34.89 tff(27262,plain,
% 54.72/34.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB127, 2) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB127, 2) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, 2)))),
% 54.72/34.89 inference(rewrite,[status(thm)],[])).
% 54.72/34.89 tff(27263,plain,
% 54.72/34.89 (((~nextState(constB127, constB128)) | v90(constB127, 2) | v100(constB128) | (~v90(constB128, 2))) <=> (v90(constB127, 2) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, 2)))),
% 54.72/34.89 inference(rewrite,[status(thm)],[])).
% 54.72/34.89 tff(27264,plain,
% 54.72/34.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB127, constB128)) | v90(constB127, 2) | v100(constB128) | (~v90(constB128, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB127, 2) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, 2))))),
% 54.72/34.89 inference(monotonicity,[status(thm)],[27263])).
% 54.72/34.89 tff(27265,plain,
% 54.72/34.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB127, constB128)) | v90(constB127, 2) | v100(constB128) | (~v90(constB128, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB127, 2) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, 2)))),
% 54.72/34.89 inference(transitivity,[status(thm)],[27264, 27262])).
% 54.72/34.89 tff(27266,plain,
% 54.72/34.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB127, constB128)) | v90(constB127, 2) | v100(constB128) | (~v90(constB128, 2)))),
% 54.72/34.89 inference(quant_inst,[status(thm)],[])).
% 54.72/34.89 tff(27267,plain,
% 54.72/34.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB127, 2) | (~nextState(constB127, constB128)) | v100(constB128) | (~v90(constB128, 2))),
% 54.72/34.89 inference(modus_ponens,[status(thm)],[27266, 27265])).
% 54.72/34.89 tff(27268,plain,
% 54.72/34.89 (v90(constB127, 2) | v100(constB128) | (~v90(constB128, 2))),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[27267, 905, 21769])).
% 54.72/34.89 tff(27269,plain,
% 54.72/34.89 (v100(constB128)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[27268, 27261, 26097])).
% 54.72/34.89 tff(27270,plain,
% 54.72/34.89 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB128, 2)) | v129(constB128, 2) | (~v100(constB128)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB128, 2)) | v129(constB128, 2) | (~v100(constB128)))),
% 54.72/34.89 inference(rewrite,[status(thm)],[])).
% 54.72/34.89 tff(27271,plain,
% 54.72/34.89 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB128, 2)) | v129(constB128, 2) | (~v100(constB128)))),
% 54.72/34.89 inference(quant_inst,[status(thm)],[])).
% 54.72/34.89 tff(27272,plain,
% 54.72/34.89 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB128, 2)) | v129(constB128, 2) | (~v100(constB128))),
% 54.72/34.89 inference(modus_ponens,[status(thm)],[27271, 27270])).
% 54.72/34.89 tff(27273,plain,
% 54.72/34.89 (v129(constB128, 2)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[27272, 1223, 27269, 27261])).
% 54.72/34.89 tff(27274,plain,
% 54.72/34.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB127, constB128)) | v127(constB127, 2) | (~v129(constB128, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB127, constB128)) | v127(constB127, 2) | (~v129(constB128, 2)))),
% 54.72/34.89 inference(rewrite,[status(thm)],[])).
% 54.72/34.89 tff(27275,plain,
% 54.72/34.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB127, constB128)) | v127(constB127, 2) | (~v129(constB128, 2)))),
% 54.72/34.89 inference(quant_inst,[status(thm)],[])).
% 54.72/34.89 tff(27276,plain,
% 54.72/34.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB127, constB128)) | v127(constB127, 2) | (~v129(constB128, 2))),
% 54.72/34.89 inference(modus_ponens,[status(thm)],[27275, 27274])).
% 54.72/34.89 tff(27277,plain,
% 54.72/34.89 (v127(constB127, 2) | (~v129(constB128, 2))),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[27276, 1208, 21769])).
% 54.72/34.89 tff(27278,plain,
% 54.72/34.89 (v127(constB127, 2)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[27277, 27273])).
% 54.72/34.89 tff(27279,plain,
% 54.72/34.89 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB127, 2)) | v26(constB127) | v130(constB127, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB127, 2)) | v26(constB127) | v130(constB127, 2))),
% 54.72/34.89 inference(rewrite,[status(thm)],[])).
% 54.72/34.89 tff(27280,plain,
% 54.72/34.89 ((v26(constB127) | v130(constB127, 2) | (~v127(constB127, 2))) <=> ((~v127(constB127, 2)) | v26(constB127) | v130(constB127, 2))),
% 54.72/34.89 inference(rewrite,[status(thm)],[])).
% 54.72/34.89 tff(27281,plain,
% 54.72/34.89 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB127) | v130(constB127, 2) | (~v127(constB127, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB127, 2)) | v26(constB127) | v130(constB127, 2)))),
% 54.72/34.89 inference(monotonicity,[status(thm)],[27280])).
% 54.72/34.89 tff(27282,plain,
% 54.72/34.89 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB127) | v130(constB127, 2) | (~v127(constB127, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB127, 2)) | v26(constB127) | v130(constB127, 2))),
% 54.72/34.89 inference(transitivity,[status(thm)],[27281, 27279])).
% 54.72/34.89 tff(27283,plain,
% 54.72/34.89 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB127) | v130(constB127, 2) | (~v127(constB127, 2)))),
% 54.72/34.89 inference(quant_inst,[status(thm)],[])).
% 54.72/34.89 tff(27284,plain,
% 54.72/34.89 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB127, 2)) | v26(constB127) | v130(constB127, 2)),
% 54.72/34.89 inference(modus_ponens,[status(thm)],[27283, 27282])).
% 54.72/34.89 tff(27285,plain,
% 54.72/34.89 ((~v127(constB127, 2)) | v130(constB127, 2)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[27284, 1190, 21754])).
% 54.72/34.89 tff(27286,plain,
% 54.72/34.89 (v130(constB127, 2)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[27285, 27278])).
% 54.72/34.89 tff(27287,plain,
% 54.72/34.89 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB127)) | (~v130(constB127, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB127)) | (~v130(constB127, 2)))),
% 54.72/34.89 inference(rewrite,[status(thm)],[])).
% 54.72/34.89 tff(27288,plain,
% 54.72/34.89 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB127)) | (~v130(constB127, 2)))),
% 54.72/34.89 inference(quant_inst,[status(thm)],[])).
% 54.72/34.89 tff(27289,plain,
% 54.72/34.89 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB127)) | (~v130(constB127, 2))),
% 54.72/34.89 inference(modus_ponens,[status(thm)],[27288, 27287])).
% 54.72/34.89 tff(27290,plain,
% 54.72/34.89 (~v119(constB127)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[27289, 1176, 27286])).
% 54.72/34.89 tff(27291,assumption,(v90(constB130, 0)), introduced(assumption)).
% 54.72/34.89 tff(27292,plain,
% 54.72/34.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB129, 0) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB129, 0) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, 0)))),
% 54.72/34.89 inference(rewrite,[status(thm)],[])).
% 54.72/34.89 tff(27293,plain,
% 54.72/34.89 (((~nextState(constB129, constB130)) | v90(constB129, 0) | v100(constB130) | (~v90(constB130, 0))) <=> (v90(constB129, 0) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, 0)))),
% 54.72/34.89 inference(rewrite,[status(thm)],[])).
% 54.72/34.89 tff(27294,plain,
% 54.72/34.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB129, constB130)) | v90(constB129, 0) | v100(constB130) | (~v90(constB130, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB129, 0) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, 0))))),
% 54.72/34.89 inference(monotonicity,[status(thm)],[27293])).
% 54.72/34.89 tff(27295,plain,
% 54.72/34.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB129, constB130)) | v90(constB129, 0) | v100(constB130) | (~v90(constB130, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB129, 0) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, 0)))),
% 54.72/34.89 inference(transitivity,[status(thm)],[27294, 27292])).
% 54.72/34.89 tff(27296,plain,
% 54.72/34.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB129, constB130)) | v90(constB129, 0) | v100(constB130) | (~v90(constB130, 0)))),
% 54.72/34.89 inference(quant_inst,[status(thm)],[])).
% 54.72/34.89 tff(27297,plain,
% 54.72/34.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB129, 0) | (~nextState(constB129, constB130)) | v100(constB130) | (~v90(constB130, 0))),
% 54.72/34.89 inference(modus_ponens,[status(thm)],[27296, 27295])).
% 54.72/34.89 tff(27298,plain,
% 54.72/34.89 (v90(constB129, 0) | v100(constB130) | (~v90(constB130, 0))),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[27297, 947, 21961])).
% 54.72/34.89 tff(27299,plain,
% 54.72/34.89 (v90(constB129, 0)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[27298, 27244, 27291])).
% 54.72/34.89 tff(27300,plain,
% 54.72/34.89 (v90(constB128, 0)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[21916, 27299])).
% 54.72/34.89 tff(27301,plain,
% 54.72/34.89 (v129(constB128, 0)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[21906, 1704, 27269, 27300])).
% 54.72/34.89 tff(27302,plain,
% 54.72/34.89 (v127(constB127, 0)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[21899, 27301])).
% 54.72/34.89 tff(27303,plain,
% 54.72/34.89 (v130(constB127, 0)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[21894, 27302])).
% 54.72/34.89 tff(27304,plain,
% 54.72/34.89 (~v122(constB127)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[21886, 2407, 27303])).
% 54.72/34.89 tff(27305,plain,
% 54.72/34.89 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB127)) | (~v130(constB127, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB127)) | (~v130(constB127, 2)))),
% 54.72/34.89 inference(rewrite,[status(thm)],[])).
% 54.72/34.89 tff(27306,plain,
% 54.72/34.89 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB127)) | (~v130(constB127, 2)))),
% 54.72/34.89 inference(quant_inst,[status(thm)],[])).
% 54.72/34.89 tff(27307,plain,
% 54.72/34.89 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB127)) | (~v130(constB127, 2))),
% 54.72/34.89 inference(modus_ponens,[status(thm)],[27306, 27305])).
% 54.72/34.89 tff(27308,plain,
% 54.72/34.89 (~v121(constB127)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[27307, 1821, 27286])).
% 54.72/34.89 tff(27309,plain,
% 54.72/34.89 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB127)) | (~v130(constB127, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB127)) | (~v130(constB127, 2)))),
% 54.72/34.89 inference(rewrite,[status(thm)],[])).
% 54.72/34.89 tff(27310,plain,
% 54.72/34.89 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB127)) | (~v130(constB127, 2)))),
% 54.72/34.89 inference(quant_inst,[status(thm)],[])).
% 54.72/34.89 tff(27311,plain,
% 54.72/34.89 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB127)) | (~v130(constB127, 2))),
% 54.72/34.89 inference(modus_ponens,[status(thm)],[27310, 27309])).
% 54.72/34.89 tff(27312,plain,
% 54.72/34.89 (~v120(constB127)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[27311, 1523, 27286])).
% 54.72/34.89 tff(27313,plain,
% 54.72/34.89 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | ((~v123(constB127)) | v90(constB127, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | (~v123(constB127)) | v90(constB127, 2))),
% 54.72/34.89 inference(rewrite,[status(thm)],[])).
% 54.72/34.89 tff(27314,plain,
% 54.72/34.89 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | ((~v123(constB127)) | v90(constB127, 2))),
% 54.72/34.89 inference(quant_inst,[status(thm)],[])).
% 54.72/34.89 tff(27315,plain,
% 54.72/34.89 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | (~v123(constB127)) | v90(constB127, 2)),
% 54.72/34.89 inference(modus_ponens,[status(thm)],[27314, 27313])).
% 54.72/34.89 tff(27316,plain,
% 54.72/34.89 (~v123(constB127)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[27315, 3763, 26097])).
% 54.72/34.89 tff(27317,plain,
% 54.72/34.89 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | ((~v124(constB127)) | v90(constB127, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | (~v124(constB127)) | v90(constB127, 2))),
% 54.72/34.89 inference(rewrite,[status(thm)],[])).
% 54.72/34.89 tff(27318,plain,
% 54.72/34.89 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | ((~v124(constB127)) | v90(constB127, 2))),
% 54.72/34.89 inference(quant_inst,[status(thm)],[])).
% 54.72/34.89 tff(27319,plain,
% 54.72/34.89 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | (~v124(constB127)) | v90(constB127, 2)),
% 54.72/34.89 inference(modus_ponens,[status(thm)],[27318, 27317])).
% 54.72/34.89 tff(27320,plain,
% 54.72/34.89 (~v124(constB127)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[27319, 3774, 26097])).
% 54.72/34.89 tff(27321,plain,
% 54.72/34.89 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB127) | v120(constB127) | v121(constB127) | v122(constB127) | v123(constB127) | v124(constB127) | (~v130(constB127, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB127) | v120(constB127) | v121(constB127) | v122(constB127) | v123(constB127) | v124(constB127) | (~v130(constB127, 2)))),
% 54.72/34.89 inference(rewrite,[status(thm)],[])).
% 54.72/34.89 tff(27322,plain,
% 54.72/34.89 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB127) | v120(constB127) | v121(constB127) | v122(constB127) | v123(constB127) | v124(constB127) | (~v130(constB127, 2)))),
% 54.72/34.89 inference(quant_inst,[status(thm)],[])).
% 54.72/34.89 tff(27323,plain,
% 54.72/34.89 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB127) | v120(constB127) | v121(constB127) | v122(constB127) | v123(constB127) | v124(constB127) | (~v130(constB127, 2))),
% 54.72/34.89 inference(modus_ponens,[status(thm)],[27322, 27321])).
% 54.72/34.89 tff(27324,plain,
% 54.72/34.89 (v119(constB127) | v120(constB127) | v121(constB127) | v122(constB127) | (~v130(constB127, 2))),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[27323, 2904, 27320, 27316])).
% 54.72/34.89 tff(27325,plain,
% 54.72/34.89 ($false),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[27324, 27312, 27308, 27286, 27304, 27290])).
% 54.72/34.89 tff(27326,plain,(v100(constB130) | v90(constB127, 2) | (~v90(constB130, 0)) | (~v90(constB130, 2))), inference(lemma,lemma(discharge,[]))).
% 54.72/34.89 tff(27327,plain,
% 54.72/34.89 (v100(constB130)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[27326, 27243, 26097, 27225])).
% 54.72/34.89 tff(27328,plain,
% 54.72/34.89 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB130, 0)) | v129(constB130, 0) | (~v100(constB130)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB130, 0)) | v129(constB130, 0) | (~v100(constB130)))),
% 54.72/34.89 inference(rewrite,[status(thm)],[])).
% 54.72/34.89 tff(27329,plain,
% 54.72/34.89 (((~v90(constB130, 0)) | (~v100(constB130)) | v129(constB130, 0)) <=> ((~v90(constB130, 0)) | v129(constB130, 0) | (~v100(constB130)))),
% 54.72/34.89 inference(rewrite,[status(thm)],[])).
% 54.72/34.89 tff(27330,plain,
% 54.72/34.89 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB130, 0)) | (~v100(constB130)) | v129(constB130, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB130, 0)) | v129(constB130, 0) | (~v100(constB130))))),
% 54.72/34.89 inference(monotonicity,[status(thm)],[27329])).
% 54.72/34.89 tff(27331,plain,
% 54.72/34.89 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB130, 0)) | (~v100(constB130)) | v129(constB130, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB130, 0)) | v129(constB130, 0) | (~v100(constB130)))),
% 54.72/34.89 inference(transitivity,[status(thm)],[27330, 27328])).
% 54.72/34.89 tff(27332,plain,
% 54.72/34.89 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB130, 0)) | (~v100(constB130)) | v129(constB130, 0))),
% 54.72/34.89 inference(quant_inst,[status(thm)],[])).
% 54.72/34.89 tff(27333,plain,
% 54.72/34.89 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB130, 0)) | v129(constB130, 0) | (~v100(constB130))),
% 54.72/34.89 inference(modus_ponens,[status(thm)],[27332, 27331])).
% 54.72/34.89 tff(27334,plain,
% 54.72/34.89 (v129(constB130, 0) | (~v100(constB130))),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[27333, 1704, 27243])).
% 54.72/34.89 tff(27335,plain,
% 54.72/34.89 (v129(constB130, 0)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[27334, 27327])).
% 54.72/34.89 tff(27336,plain,
% 54.72/34.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB129, constB130)) | v127(constB129, 0) | (~v129(constB130, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB129, constB130)) | v127(constB129, 0) | (~v129(constB130, 0)))),
% 54.72/34.89 inference(rewrite,[status(thm)],[])).
% 54.72/34.89 tff(27337,plain,
% 54.72/34.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB129, constB130)) | v127(constB129, 0) | (~v129(constB130, 0)))),
% 54.72/34.89 inference(quant_inst,[status(thm)],[])).
% 54.72/34.89 tff(27338,plain,
% 54.72/34.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB129, constB130)) | v127(constB129, 0) | (~v129(constB130, 0))),
% 54.72/34.89 inference(modus_ponens,[status(thm)],[27337, 27336])).
% 54.72/34.89 tff(27339,plain,
% 54.72/34.89 (v127(constB129, 0) | (~v129(constB130, 0))),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[27338, 1689, 21961])).
% 54.72/34.89 tff(27340,plain,
% 54.72/34.89 (v127(constB129, 0)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[27339, 27335])).
% 54.72/34.89 tff(27341,plain,
% 54.72/34.89 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB129, 0)) | v26(constB129) | v130(constB129, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB129, 0)) | v26(constB129) | v130(constB129, 0))),
% 54.72/34.89 inference(rewrite,[status(thm)],[])).
% 54.72/34.89 tff(27342,plain,
% 54.72/34.89 ((v26(constB129) | v130(constB129, 0) | (~v127(constB129, 0))) <=> ((~v127(constB129, 0)) | v26(constB129) | v130(constB129, 0))),
% 54.72/34.89 inference(rewrite,[status(thm)],[])).
% 54.72/34.89 tff(27343,plain,
% 54.72/34.89 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB129) | v130(constB129, 0) | (~v127(constB129, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB129, 0)) | v26(constB129) | v130(constB129, 0)))),
% 54.72/34.89 inference(monotonicity,[status(thm)],[27342])).
% 54.72/34.89 tff(27344,plain,
% 54.72/34.89 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB129) | v130(constB129, 0) | (~v127(constB129, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB129, 0)) | v26(constB129) | v130(constB129, 0))),
% 54.72/34.89 inference(transitivity,[status(thm)],[27343, 27341])).
% 54.72/34.89 tff(27345,plain,
% 54.72/34.89 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB129) | v130(constB129, 0) | (~v127(constB129, 0)))),
% 54.72/34.89 inference(quant_inst,[status(thm)],[])).
% 54.72/34.89 tff(27346,plain,
% 54.72/34.89 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB129, 0)) | v26(constB129) | v130(constB129, 0)),
% 54.72/34.89 inference(modus_ponens,[status(thm)],[27345, 27344])).
% 54.72/34.89 tff(27347,plain,
% 54.72/34.89 ((~v127(constB129, 0)) | v130(constB129, 0)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[27346, 1671, 21943])).
% 54.72/34.89 tff(27348,plain,
% 54.72/34.89 (v130(constB129, 0)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[27347, 27340])).
% 54.72/34.89 tff(27349,plain,
% 54.72/34.89 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB129)) | (~v130(constB129, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB129)) | (~v130(constB129, 0)))),
% 54.72/34.89 inference(rewrite,[status(thm)],[])).
% 54.72/34.89 tff(27350,plain,
% 54.72/34.89 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB129)) | (~v130(constB129, 0)))),
% 54.72/34.89 inference(quant_inst,[status(thm)],[])).
% 54.72/34.89 tff(27351,plain,
% 54.72/34.89 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB129)) | (~v130(constB129, 0))),
% 54.72/34.89 inference(modus_ponens,[status(thm)],[27350, 27349])).
% 54.72/34.89 tff(27352,plain,
% 54.72/34.89 (~v122(constB129)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[27351, 2407, 27348])).
% 54.72/34.89 tff(27353,plain,
% 54.72/34.89 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB129)) | (~v130(constB129, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB129)) | (~v130(constB129, 0)))),
% 54.72/34.89 inference(rewrite,[status(thm)],[])).
% 54.72/34.89 tff(27354,plain,
% 54.72/34.89 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB129)) | (~v130(constB129, 0)))),
% 54.72/34.89 inference(quant_inst,[status(thm)],[])).
% 54.72/34.89 tff(27355,plain,
% 54.72/34.89 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB129)) | (~v130(constB129, 0))),
% 54.72/34.89 inference(modus_ponens,[status(thm)],[27354, 27353])).
% 54.72/34.89 tff(27356,plain,
% 54.72/34.89 (~v124(constB129)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[27355, 3274, 27348])).
% 54.72/34.89 tff(27357,assumption,(v90(constB132, 1)), introduced(assumption)).
% 54.72/34.89 tff(27358,plain,
% 54.72/34.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB131, 1) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB131, 1) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, 1)))),
% 54.72/34.89 inference(rewrite,[status(thm)],[])).
% 54.72/34.89 tff(27359,plain,
% 54.72/34.89 (((~nextState(constB131, constB132)) | v90(constB131, 1) | v100(constB132) | (~v90(constB132, 1))) <=> (v90(constB131, 1) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, 1)))),
% 54.72/34.89 inference(rewrite,[status(thm)],[])).
% 54.72/34.89 tff(27360,plain,
% 54.72/34.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB131, constB132)) | v90(constB131, 1) | v100(constB132) | (~v90(constB132, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB131, 1) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, 1))))),
% 54.72/34.89 inference(monotonicity,[status(thm)],[27359])).
% 54.72/34.89 tff(27361,plain,
% 54.72/34.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB131, constB132)) | v90(constB131, 1) | v100(constB132) | (~v90(constB132, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB131, 1) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, 1)))),
% 54.72/34.89 inference(transitivity,[status(thm)],[27360, 27358])).
% 54.72/34.89 tff(27362,plain,
% 54.72/34.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB131, constB132)) | v90(constB131, 1) | v100(constB132) | (~v90(constB132, 1)))),
% 54.72/34.89 inference(quant_inst,[status(thm)],[])).
% 54.72/34.89 tff(27363,plain,
% 54.72/34.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB131, 1) | (~nextState(constB131, constB132)) | v100(constB132) | (~v90(constB132, 1))),
% 54.72/34.89 inference(modus_ponens,[status(thm)],[27362, 27361])).
% 54.72/34.89 tff(27364,plain,
% 54.72/34.89 (v90(constB131, 1) | v100(constB132) | (~v90(constB132, 1))),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[27363, 926, 22143])).
% 54.72/34.89 tff(27365,plain,
% 54.72/34.89 (v90(constB131, 1)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[27364, 27226, 27357])).
% 54.72/34.89 tff(27366,plain,
% 54.72/34.89 (v90(constB130, 1)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[22074, 27365])).
% 54.72/34.89 tff(27367,plain,
% 54.72/34.89 (v129(constB130, 1) | (~v100(constB130))),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[22064, 1309, 27366])).
% 54.72/34.89 tff(27368,plain,
% 54.72/34.89 (v129(constB130, 1)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[27367, 27327])).
% 54.72/34.89 tff(27369,plain,
% 54.72/34.89 (v127(constB129, 1)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[22057, 27368])).
% 54.72/34.89 tff(27370,plain,
% 54.72/34.89 (v130(constB129, 1)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[22052, 27369])).
% 54.72/34.89 tff(27371,plain,
% 54.72/34.89 (~v123(constB129)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[22044, 2581, 27370])).
% 54.72/34.89 tff(27372,plain,
% 54.72/34.89 (v129(constB130, 2) | (~v100(constB130))),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[27173, 1223, 27225])).
% 54.72/34.89 tff(27373,plain,
% 54.72/34.89 (v129(constB130, 2)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[27372, 27327])).
% 54.72/34.89 tff(27374,plain,
% 54.72/34.89 (v127(constB129, 2)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[27169, 27373])).
% 54.72/34.89 tff(27375,plain,
% 54.72/34.89 (v130(constB129, 2)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[27164, 27374])).
% 54.72/34.89 tff(27376,plain,
% 54.72/34.89 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB129)) | (~v130(constB129, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB129)) | (~v130(constB129, 2)))),
% 54.72/34.89 inference(rewrite,[status(thm)],[])).
% 54.72/34.89 tff(27377,plain,
% 54.72/34.89 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB129)) | (~v130(constB129, 2)))),
% 54.72/34.89 inference(quant_inst,[status(thm)],[])).
% 54.72/34.89 tff(27378,plain,
% 54.72/34.89 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB129)) | (~v130(constB129, 2))),
% 54.72/34.89 inference(modus_ponens,[status(thm)],[27377, 27376])).
% 54.72/34.89 tff(27379,plain,
% 54.72/34.89 (~v119(constB129)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[27378, 1176, 27375])).
% 54.72/34.89 tff(27380,plain,
% 54.72/34.89 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB129)) | (~v130(constB129, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB129)) | (~v130(constB129, 2)))),
% 54.72/34.89 inference(rewrite,[status(thm)],[])).
% 54.72/34.89 tff(27381,plain,
% 54.72/34.89 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB129)) | (~v130(constB129, 2)))),
% 54.72/34.89 inference(quant_inst,[status(thm)],[])).
% 54.72/34.89 tff(27382,plain,
% 54.72/34.89 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB129)) | (~v130(constB129, 2))),
% 54.72/34.89 inference(modus_ponens,[status(thm)],[27381, 27380])).
% 54.72/34.89 tff(27383,plain,
% 54.72/34.89 (~v120(constB129)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[27382, 1523, 27375])).
% 54.72/34.89 tff(27384,assumption,(~v121(constB129)), introduced(assumption)).
% 54.72/34.89 tff(27385,plain,
% 54.72/34.89 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB129) | v120(constB129) | v121(constB129) | v122(constB129) | v123(constB129) | v124(constB129) | (~v130(constB129, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB129) | v120(constB129) | v121(constB129) | v122(constB129) | v123(constB129) | v124(constB129) | (~v130(constB129, 1)))),
% 54.72/34.89 inference(rewrite,[status(thm)],[])).
% 54.72/34.89 tff(27386,plain,
% 54.72/34.89 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB129) | v120(constB129) | v121(constB129) | v122(constB129) | v123(constB129) | v124(constB129) | (~v130(constB129, 1)))),
% 54.72/34.89 inference(quant_inst,[status(thm)],[])).
% 54.72/34.89 tff(27387,plain,
% 54.72/34.89 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB129) | v120(constB129) | v121(constB129) | v122(constB129) | v123(constB129) | v124(constB129) | (~v130(constB129, 1))),
% 54.72/34.89 inference(modus_ponens,[status(thm)],[27386, 27385])).
% 54.72/34.89 tff(27388,plain,
% 54.72/34.89 (v119(constB129) | v120(constB129) | v122(constB129) | v123(constB129) | v124(constB129) | (~v130(constB129, 1))),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[27387, 3309, 27384])).
% 54.72/34.89 tff(27389,plain,
% 54.72/34.89 ($false),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[27388, 27383, 27379, 27370, 27371, 27356, 27352])).
% 54.72/34.89 tff(27390,plain,(v100(constB132) | v121(constB129) | (~v90(constB130, 2)) | v90(constB127, 2) | (~v90(constB132, 1)) | (~v90(constB132, 0))), inference(lemma,lemma(discharge,[]))).
% 54.72/34.89 tff(27391,plain,
% 54.72/34.89 (v100(constB132)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[27390, 27224, 27125, 26097, 27082, 27080])).
% 54.72/34.89 tff(27392,plain,
% 54.72/34.89 (v129(constB132, 1) | (~v100(constB132))),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[23130, 1309, 27082])).
% 54.72/34.89 tff(27393,plain,
% 54.72/34.89 (v129(constB132, 1)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[27392, 27391])).
% 54.72/34.89 tff(27394,plain,
% 54.72/34.89 (v127(constB131, 1)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[23135, 27393])).
% 54.72/34.89 tff(27395,plain,
% 54.72/34.89 (v130(constB131, 1)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[23284, 27394])).
% 54.72/34.89 tff(27396,plain,
% 54.72/34.89 (~v123(constB131)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[23292, 2581, 27395])).
% 54.72/34.89 tff(27397,plain,
% 54.72/34.89 (v129(constB132, 0) | (~v100(constB132))),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[22293, 1704, 27080])).
% 54.72/34.89 tff(27398,plain,
% 54.72/34.89 (v129(constB132, 0)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[27397, 27391])).
% 54.72/34.89 tff(27399,plain,
% 54.72/34.89 (v127(constB131, 0)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[22286, 27398])).
% 54.72/34.89 tff(27400,plain,
% 54.72/34.89 (v130(constB131, 0)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[22281, 27399])).
% 54.72/34.89 tff(27401,plain,
% 54.72/34.89 (~v124(constB131)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[22273, 3274, 27400])).
% 54.72/34.89 tff(27402,plain,
% 54.72/34.89 (~v119(constB131)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[23192, 3814, 27116])).
% 54.72/34.89 tff(27403,plain,
% 54.72/34.89 (~v120(constB131)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[22302, 3825, 27116])).
% 54.72/34.89 tff(27404,plain,
% 54.72/34.89 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB131)) | (~v90(constB131, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB131)) | (~v90(constB131, 2)))),
% 54.72/34.89 inference(rewrite,[status(thm)],[])).
% 54.72/34.89 tff(27405,plain,
% 54.72/34.89 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB131)) | (~v90(constB131, 2)))),
% 54.72/34.89 inference(quant_inst,[status(thm)],[])).
% 54.72/34.89 tff(27406,plain,
% 54.72/34.89 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB131)) | (~v90(constB131, 2))),
% 54.72/34.89 inference(modus_ponens,[status(thm)],[27405, 27404])).
% 54.72/34.89 tff(27407,plain,
% 54.72/34.89 (~v121(constB131)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[27406, 2857, 27116])).
% 54.72/34.89 tff(27408,plain,
% 54.72/34.89 (~v122(constB131)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[22298, 2797, 27116])).
% 54.72/34.89 tff(27409,plain,
% 54.72/34.89 (v123(constB131) | v124(constB131) | (~v130(constB131, 1))),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[23304, 3309, 27408, 27407, 27403, 27402])).
% 54.72/34.89 tff(27410,plain,
% 54.72/34.89 ($false),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[27409, 27401, 27396, 27395])).
% 54.72/34.89 tff(27411,plain,(v100(constB138) | v90(constB127, 2) | v119(constB133) | v100(constB136) | (~v90(constB138, 1)) | (~v90(constB138, 2))), inference(lemma,lemma(discharge,[]))).
% 54.72/34.89 tff(27412,plain,
% 54.72/34.89 (v100(constB138)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[27411, 22614, 27005, 26097, 26903, 26902])).
% 54.72/34.89 tff(27413,assumption,(v120(constB137)), introduced(assumption)).
% 54.72/34.89 tff(27414,plain,
% 54.72/34.89 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB137)) | (~v130(constB137, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB137)) | (~v130(constB137, 2)))),
% 54.72/34.89 inference(rewrite,[status(thm)],[])).
% 54.72/34.89 tff(27415,plain,
% 54.72/34.89 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB137)) | (~v130(constB137, 2)))),
% 54.72/34.89 inference(quant_inst,[status(thm)],[])).
% 54.72/34.89 tff(27416,plain,
% 54.72/34.89 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB137)) | (~v130(constB137, 2))),
% 54.72/34.89 inference(modus_ponens,[status(thm)],[27415, 27414])).
% 54.72/34.89 tff(27417,plain,
% 54.72/34.89 (~v130(constB137, 2)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[27416, 1523, 27413])).
% 54.72/34.89 tff(27418,plain,
% 54.72/34.89 (~v127(constB137, 2)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[23820, 27417])).
% 54.72/34.89 tff(27419,plain,
% 54.72/34.89 (~v129(constB138, 2)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[23825, 27418])).
% 54.72/34.89 tff(27420,assumption,(v100(constB138)), introduced(assumption)).
% 54.72/34.89 tff(27421,plain,
% 54.72/34.89 ((~v90(constB138, 2)) | v129(constB138, 2)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[23829, 1223, 27420])).
% 54.72/34.89 tff(27422,plain,
% 54.72/34.89 (~v90(constB138, 2)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[27421, 27419])).
% 54.72/34.89 tff(27423,plain,
% 54.72/34.89 (~v90(constB139, 2)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[23839, 27422])).
% 54.72/34.89 tff(27424,plain,
% 54.72/34.89 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB137)) | (~v130(constB137, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB137)) | (~v130(constB137, 0)))),
% 54.72/34.89 inference(rewrite,[status(thm)],[])).
% 54.72/34.89 tff(27425,plain,
% 54.72/34.89 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB137)) | (~v130(constB137, 0)))),
% 54.72/34.89 inference(quant_inst,[status(thm)],[])).
% 54.72/34.89 tff(27426,plain,
% 54.72/34.89 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB137)) | (~v130(constB137, 0))),
% 54.72/34.89 inference(modus_ponens,[status(thm)],[27425, 27424])).
% 54.72/34.89 tff(27427,plain,
% 54.72/34.89 (~v130(constB137, 0)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[27426, 1657, 27413])).
% 54.72/34.89 tff(27428,plain,
% 54.72/34.89 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB137, 0)) | v26(constB137) | v130(constB137, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB137, 0)) | v26(constB137) | v130(constB137, 0))),
% 54.72/34.89 inference(rewrite,[status(thm)],[])).
% 54.72/34.89 tff(27429,plain,
% 54.72/34.89 ((v26(constB137) | v130(constB137, 0) | (~v127(constB137, 0))) <=> ((~v127(constB137, 0)) | v26(constB137) | v130(constB137, 0))),
% 54.72/34.89 inference(rewrite,[status(thm)],[])).
% 54.72/34.89 tff(27430,plain,
% 54.72/34.89 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB137) | v130(constB137, 0) | (~v127(constB137, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB137, 0)) | v26(constB137) | v130(constB137, 0)))),
% 54.72/34.89 inference(monotonicity,[status(thm)],[27429])).
% 54.72/34.89 tff(27431,plain,
% 54.72/34.89 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB137) | v130(constB137, 0) | (~v127(constB137, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB137, 0)) | v26(constB137) | v130(constB137, 0))),
% 54.72/34.89 inference(transitivity,[status(thm)],[27430, 27428])).
% 54.72/34.89 tff(27432,plain,
% 54.72/34.89 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB137) | v130(constB137, 0) | (~v127(constB137, 0)))),
% 54.72/34.89 inference(quant_inst,[status(thm)],[])).
% 54.72/34.89 tff(27433,plain,
% 54.72/34.89 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB137, 0)) | v26(constB137) | v130(constB137, 0)),
% 54.72/34.89 inference(modus_ponens,[status(thm)],[27432, 27431])).
% 54.72/34.89 tff(27434,plain,
% 54.72/34.89 ((~v127(constB137, 0)) | v130(constB137, 0)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[27433, 1671, 23489])).
% 54.72/34.89 tff(27435,plain,
% 54.72/34.89 (~v127(constB137, 0)),
% 54.72/34.89 inference(unit_resolution,[status(thm)],[27434, 27427])).
% 54.72/34.89 tff(27436,plain,
% 54.72/34.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB137, constB138)) | v127(constB137, 0) | (~v129(constB138, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB137, constB138)) | v127(constB137, 0) | (~v129(constB138, 0)))),
% 54.72/34.90 inference(rewrite,[status(thm)],[])).
% 54.72/34.90 tff(27437,plain,
% 54.72/34.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB137, constB138)) | v127(constB137, 0) | (~v129(constB138, 0)))),
% 54.72/34.90 inference(quant_inst,[status(thm)],[])).
% 54.72/34.90 tff(27438,plain,
% 54.72/34.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB137, constB138)) | v127(constB137, 0) | (~v129(constB138, 0))),
% 54.72/34.90 inference(modus_ponens,[status(thm)],[27437, 27436])).
% 54.72/34.90 tff(27439,plain,
% 54.72/34.90 (v127(constB137, 0) | (~v129(constB138, 0))),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27438, 1689, 23497])).
% 54.72/34.90 tff(27440,plain,
% 54.72/34.90 (~v129(constB138, 0)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27439, 27435])).
% 54.72/34.90 tff(27441,plain,
% 54.72/34.90 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB138, 0)) | v129(constB138, 0) | (~v100(constB138)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB138, 0)) | v129(constB138, 0) | (~v100(constB138)))),
% 54.72/34.90 inference(rewrite,[status(thm)],[])).
% 54.72/34.90 tff(27442,plain,
% 54.72/34.90 (((~v90(constB138, 0)) | (~v100(constB138)) | v129(constB138, 0)) <=> ((~v90(constB138, 0)) | v129(constB138, 0) | (~v100(constB138)))),
% 54.72/34.90 inference(rewrite,[status(thm)],[])).
% 54.72/34.90 tff(27443,plain,
% 54.72/34.90 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB138, 0)) | (~v100(constB138)) | v129(constB138, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB138, 0)) | v129(constB138, 0) | (~v100(constB138))))),
% 54.72/34.90 inference(monotonicity,[status(thm)],[27442])).
% 54.72/34.90 tff(27444,plain,
% 54.72/34.90 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB138, 0)) | (~v100(constB138)) | v129(constB138, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB138, 0)) | v129(constB138, 0) | (~v100(constB138)))),
% 54.72/34.90 inference(transitivity,[status(thm)],[27443, 27441])).
% 54.72/34.90 tff(27445,plain,
% 54.72/34.90 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB138, 0)) | (~v100(constB138)) | v129(constB138, 0))),
% 54.72/34.90 inference(quant_inst,[status(thm)],[])).
% 54.72/34.90 tff(27446,plain,
% 54.72/34.90 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB138, 0)) | v129(constB138, 0) | (~v100(constB138))),
% 54.72/34.90 inference(modus_ponens,[status(thm)],[27445, 27444])).
% 54.72/34.90 tff(27447,plain,
% 54.72/34.90 ((~v90(constB138, 0)) | v129(constB138, 0)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27446, 1704, 27420])).
% 54.72/34.90 tff(27448,plain,
% 54.72/34.90 (~v90(constB138, 0)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27447, 27440])).
% 54.72/34.90 tff(27449,plain,
% 54.72/34.90 (~v90(constB139, 0)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26868, 27448])).
% 54.72/34.90 tff(27450,plain,
% 54.72/34.90 (v117(constB139)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26549, 27449, 27423])).
% 54.72/34.90 tff(27451,plain,
% 54.72/34.90 (v116(constB139)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[23982, 1007, 27450])).
% 54.72/34.90 tff(27452,plain,
% 54.72/34.90 (v115(constB139)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[23975, 1021, 27451])).
% 54.72/34.90 tff(27453,plain,
% 54.72/34.90 (v114(constB139)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[23968, 1035, 27452])).
% 54.72/34.90 tff(27454,plain,
% 54.72/34.90 (v113(constB139)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[23964, 1049, 27453])).
% 54.72/34.90 tff(27455,plain,
% 54.72/34.90 (v112(constB139)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26555, 27454])).
% 54.72/34.90 tff(27456,plain,
% 54.72/34.90 (v108(constB139)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[23943, 1075, 27455])).
% 54.72/34.90 tff(27457,plain,
% 54.72/34.90 (v110(constB140)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[23936, 27456])).
% 54.72/34.90 tff(27458,plain,
% 54.72/34.90 (v100(constB140)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[23928, 27457])).
% 54.72/34.90 tff(27459,plain,
% 54.72/34.90 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB137)) | v130(constB137, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB137)) | v130(constB137, 1))),
% 54.72/34.90 inference(rewrite,[status(thm)],[])).
% 54.72/34.90 tff(27460,plain,
% 54.72/34.90 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB137)) | v130(constB137, 1))),
% 54.72/34.90 inference(quant_inst,[status(thm)],[])).
% 54.72/34.90 tff(27461,plain,
% 54.72/34.90 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB137)) | v130(constB137, 1)),
% 54.72/34.90 inference(modus_ponens,[status(thm)],[27460, 27459])).
% 54.72/34.90 tff(27462,plain,
% 54.72/34.90 (v130(constB137, 1)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27461, 1579, 27413])).
% 54.72/34.90 tff(27463,plain,
% 54.72/34.90 (v127(constB137, 1)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[23493, 27462])).
% 54.72/34.90 tff(27464,plain,
% 54.72/34.90 (v129(constB138, 1)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[23501, 27463])).
% 54.72/34.90 tff(27465,plain,
% 54.72/34.90 (v90(constB138, 1) | (~v129(constB138, 1))),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[23780, 1623, 27420])).
% 54.72/34.90 tff(27466,plain,
% 54.72/34.90 (v90(constB138, 1)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27465, 27464])).
% 54.72/34.90 tff(27467,plain,
% 54.72/34.90 (v90(constB139, 1)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[23808, 27466])).
% 54.72/34.90 tff(27468,plain,
% 54.72/34.90 (v121(constB139)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26532, 1731, 27449, 27467, 27423])).
% 54.72/34.90 tff(27469,plain,
% 54.72/34.90 (~v130(constB139, 2)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26669, 1821, 27468])).
% 54.72/34.90 tff(27470,plain,
% 54.72/34.90 (~v127(constB139, 2)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26605, 27469])).
% 54.72/34.90 tff(27471,plain,
% 54.72/34.90 (~v129(constB140, 2)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26610, 27470])).
% 54.72/34.90 tff(27472,plain,
% 54.72/34.90 ((~v90(constB140, 2)) | (~v100(constB140))),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26614, 1223, 27471])).
% 54.72/34.90 tff(27473,plain,
% 54.72/34.90 (~v90(constB140, 2)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27472, 27458])).
% 54.72/34.90 tff(27474,plain,
% 54.72/34.90 (~v90(constB141, 2)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26624, 27473])).
% 54.72/34.90 tff(27475,plain,
% 54.72/34.90 (v130(constB139, 0)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26510, 27449])).
% 54.72/34.90 tff(27476,plain,
% 54.72/34.90 (v127(constB139, 0)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26560, 27475])).
% 54.72/34.90 tff(27477,plain,
% 54.72/34.90 (v129(constB140, 0)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26565, 27476])).
% 54.72/34.90 tff(27478,plain,
% 54.72/34.90 (v90(constB140, 0) | (~v100(constB140))),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26572, 1377, 27477])).
% 54.72/34.90 tff(27479,plain,
% 54.72/34.90 (v90(constB140, 0)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27478, 27458])).
% 54.72/34.90 tff(27480,plain,
% 54.72/34.90 (v90(constB141, 0)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26582, 27479])).
% 54.72/34.90 tff(27481,plain,
% 54.72/34.90 (v130(constB139, 1)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26692, 1877, 27468])).
% 54.72/34.90 tff(27482,plain,
% 54.72/34.90 (v127(constB139, 1)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26697, 27481])).
% 54.72/34.90 tff(27483,plain,
% 54.72/34.90 (v129(constB140, 1)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26702, 27482])).
% 54.72/34.90 tff(27484,plain,
% 54.72/34.90 (v90(constB140, 1) | (~v100(constB140))),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26709, 1623, 27483])).
% 54.72/34.90 tff(27485,plain,
% 54.72/34.90 (v90(constB140, 1)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27484, 27458])).
% 54.72/34.90 tff(27486,plain,
% 54.72/34.90 (v90(constB141, 1)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26719, 27485])).
% 54.72/34.90 tff(27487,plain,
% 54.72/34.90 ((~v90(constB141, 0)) | (~v90(constB141, 1)) | v90(constB141, 2)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26469, 1956, 26901])).
% 54.72/34.90 tff(27488,plain,
% 54.72/34.90 ($false),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27487, 27486, 27480, 27474])).
% 54.72/34.90 tff(27489,plain,((~v120(constB137)) | v122(constB141) | (~v100(constB138))), inference(lemma,lemma(discharge,[]))).
% 54.72/34.90 tff(27490,plain,
% 54.72/34.90 (~v120(constB137)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27489, 27412, 26901])).
% 54.72/34.90 tff(27491,assumption,(v124(constB137)), introduced(assumption)).
% 54.72/34.90 tff(27492,plain,
% 54.72/34.90 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB137)) | v130(constB137, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB137)) | v130(constB137, 1))),
% 54.72/34.90 inference(rewrite,[status(thm)],[])).
% 54.72/34.90 tff(27493,plain,
% 54.72/34.90 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB137)) | v130(constB137, 1))),
% 54.72/34.90 inference(quant_inst,[status(thm)],[])).
% 54.72/34.90 tff(27494,plain,
% 54.72/34.90 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB137)) | v130(constB137, 1)),
% 54.72/34.90 inference(modus_ponens,[status(thm)],[27493, 27492])).
% 54.72/34.90 tff(27495,plain,
% 54.72/34.90 (v130(constB137, 1)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27494, 2808, 27491])).
% 54.72/34.90 tff(27496,plain,
% 54.72/34.90 (v127(constB137, 1)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[23493, 27495])).
% 54.72/34.90 tff(27497,plain,
% 54.72/34.90 (v129(constB138, 1)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[23501, 27496])).
% 54.72/34.90 tff(27498,plain,
% 54.72/34.90 (v90(constB138, 1)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27465, 27497])).
% 54.72/34.90 tff(27499,plain,
% 54.72/34.90 (v90(constB139, 1)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[23808, 27498])).
% 54.72/34.90 tff(27500,plain,
% 54.72/34.90 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB139)) | (~v90(constB139, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB139)) | (~v90(constB139, 1)))),
% 54.72/34.90 inference(rewrite,[status(thm)],[])).
% 54.72/34.90 tff(27501,plain,
% 54.72/34.90 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB139)) | (~v90(constB139, 1)))),
% 54.72/34.90 inference(quant_inst,[status(thm)],[])).
% 54.72/34.90 tff(27502,plain,
% 54.72/34.90 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB139)) | (~v90(constB139, 1))),
% 54.72/34.90 inference(modus_ponens,[status(thm)],[27501, 27500])).
% 54.72/34.90 tff(27503,plain,
% 54.72/34.90 (~v123(constB139)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27502, 2879, 27499])).
% 54.72/34.90 tff(27504,plain,
% 54.72/34.90 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB137)) | (~v130(constB137, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB137)) | (~v130(constB137, 0)))),
% 54.72/34.90 inference(rewrite,[status(thm)],[])).
% 54.72/34.90 tff(27505,plain,
% 54.72/34.90 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB137)) | (~v130(constB137, 0)))),
% 54.72/34.90 inference(quant_inst,[status(thm)],[])).
% 54.72/34.90 tff(27506,plain,
% 54.72/34.90 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB137)) | (~v130(constB137, 0))),
% 54.72/34.90 inference(modus_ponens,[status(thm)],[27505, 27504])).
% 54.72/34.90 tff(27507,plain,
% 54.72/34.90 (~v130(constB137, 0)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27506, 3274, 27491])).
% 54.72/34.90 tff(27508,plain,
% 54.72/34.90 (~v127(constB137, 0)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27434, 27507])).
% 54.72/34.90 tff(27509,plain,
% 54.72/34.90 (~v129(constB138, 0)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27439, 27508])).
% 54.72/34.90 tff(27510,plain,
% 54.72/34.90 (~v90(constB138, 0)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27447, 27509])).
% 54.72/34.90 tff(27511,plain,
% 54.72/34.90 (~v90(constB139, 0)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26868, 27510])).
% 54.72/34.90 tff(27512,plain,
% 54.72/34.90 (v130(constB139, 0)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26510, 27511])).
% 54.72/34.90 tff(27513,plain,
% 54.72/34.90 (~v120(constB139)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26514, 1657, 27512])).
% 54.72/34.90 tff(27514,plain,
% 54.72/34.90 (~v122(constB139)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[23879, 2407, 27512])).
% 54.72/34.90 tff(27515,plain,
% 54.72/34.90 (~v124(constB139)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26519, 3274, 27512])).
% 54.72/34.90 tff(27516,plain,
% 54.72/34.90 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB137)) | v130(constB137, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB137)) | v130(constB137, 2))),
% 54.72/34.90 inference(rewrite,[status(thm)],[])).
% 54.72/34.90 tff(27517,plain,
% 54.72/34.90 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB137)) | v130(constB137, 2))),
% 54.72/34.90 inference(quant_inst,[status(thm)],[])).
% 54.72/34.90 tff(27518,plain,
% 54.72/34.90 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB137)) | v130(constB137, 2)),
% 54.72/34.90 inference(modus_ponens,[status(thm)],[27517, 27516])).
% 54.72/34.90 tff(27519,plain,
% 54.72/34.90 (v130(constB137, 2)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27518, 2741, 27491])).
% 54.72/34.90 tff(27520,plain,
% 54.72/34.90 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB137) | (~v130(constB137, 2)) | v127(constB137, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB137) | (~v130(constB137, 2)) | v127(constB137, 2))),
% 54.72/34.90 inference(rewrite,[status(thm)],[])).
% 54.72/34.90 tff(27521,plain,
% 54.72/34.90 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB137) | (~v130(constB137, 2)) | v127(constB137, 2))),
% 54.72/34.90 inference(quant_inst,[status(thm)],[])).
% 54.72/34.90 tff(27522,plain,
% 54.72/34.90 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB137) | (~v130(constB137, 2)) | v127(constB137, 2)),
% 54.72/34.90 inference(modus_ponens,[status(thm)],[27521, 27520])).
% 54.72/34.90 tff(27523,plain,
% 54.72/34.90 ((~v130(constB137, 2)) | v127(constB137, 2)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27522, 1981, 23489])).
% 54.72/34.90 tff(27524,plain,
% 54.72/34.90 (v127(constB137, 2)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27523, 27519])).
% 54.72/34.90 tff(27525,plain,
% 54.72/34.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB137, constB138)) | (~v127(constB137, 2)) | v129(constB138, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB137, constB138)) | (~v127(constB137, 2)) | v129(constB138, 2))),
% 54.72/34.90 inference(rewrite,[status(thm)],[])).
% 54.72/34.90 tff(27526,plain,
% 54.72/34.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB137, constB138)) | (~v127(constB137, 2)) | v129(constB138, 2))),
% 54.72/34.90 inference(quant_inst,[status(thm)],[])).
% 54.72/34.90 tff(27527,plain,
% 54.72/34.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB137, constB138)) | (~v127(constB137, 2)) | v129(constB138, 2)),
% 54.72/34.90 inference(modus_ponens,[status(thm)],[27526, 27525])).
% 54.72/34.90 tff(27528,plain,
% 54.72/34.90 ((~v127(constB137, 2)) | v129(constB138, 2)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27527, 1999, 23497])).
% 54.72/34.90 tff(27529,plain,
% 54.72/34.90 (v129(constB138, 2)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27528, 27524])).
% 54.72/34.90 tff(27530,plain,
% 54.72/34.90 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB138, 2) | (~v129(constB138, 2)) | (~v100(constB138)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB138, 2) | (~v129(constB138, 2)) | (~v100(constB138)))),
% 54.72/34.90 inference(rewrite,[status(thm)],[])).
% 54.72/34.90 tff(27531,plain,
% 54.72/34.90 ((v90(constB138, 2) | (~v100(constB138)) | (~v129(constB138, 2))) <=> (v90(constB138, 2) | (~v129(constB138, 2)) | (~v100(constB138)))),
% 54.72/34.90 inference(rewrite,[status(thm)],[])).
% 54.72/34.90 tff(27532,plain,
% 54.72/34.90 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB138, 2) | (~v100(constB138)) | (~v129(constB138, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB138, 2) | (~v129(constB138, 2)) | (~v100(constB138))))),
% 54.72/34.90 inference(monotonicity,[status(thm)],[27531])).
% 54.72/34.90 tff(27533,plain,
% 54.72/34.90 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB138, 2) | (~v100(constB138)) | (~v129(constB138, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB138, 2) | (~v129(constB138, 2)) | (~v100(constB138)))),
% 54.72/34.90 inference(transitivity,[status(thm)],[27532, 27530])).
% 54.72/34.90 tff(27534,plain,
% 54.72/34.90 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB138, 2) | (~v100(constB138)) | (~v129(constB138, 2)))),
% 54.72/34.90 inference(quant_inst,[status(thm)],[])).
% 54.72/34.90 tff(27535,plain,
% 54.72/34.90 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB138, 2) | (~v129(constB138, 2)) | (~v100(constB138))),
% 54.72/34.90 inference(modus_ponens,[status(thm)],[27534, 27533])).
% 54.72/34.90 tff(27536,plain,
% 54.72/34.90 (v90(constB138, 2) | (~v129(constB138, 2))),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27535, 2324, 27420])).
% 54.72/34.90 tff(27537,plain,
% 54.72/34.90 (v90(constB138, 2)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27536, 27529])).
% 54.72/34.90 tff(27538,plain,
% 54.72/34.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB138, 2)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB138, 2)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, 2))),
% 54.72/34.90 inference(rewrite,[status(thm)],[])).
% 54.72/34.90 tff(27539,plain,
% 54.72/34.90 (((~nextState(constB138, constB139)) | (~v90(constB138, 2)) | v100(constB139) | v90(constB139, 2)) <=> ((~v90(constB138, 2)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, 2))),
% 54.72/34.90 inference(rewrite,[status(thm)],[])).
% 54.72/34.90 tff(27540,plain,
% 54.72/34.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB138, constB139)) | (~v90(constB138, 2)) | v100(constB139) | v90(constB139, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB138, 2)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, 2)))),
% 54.72/34.90 inference(monotonicity,[status(thm)],[27539])).
% 54.72/34.90 tff(27541,plain,
% 54.72/34.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB138, constB139)) | (~v90(constB138, 2)) | v100(constB139) | v90(constB139, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB138, 2)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, 2))),
% 54.72/34.90 inference(transitivity,[status(thm)],[27540, 27538])).
% 54.72/34.90 tff(27542,plain,
% 54.72/34.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB138, constB139)) | (~v90(constB138, 2)) | v100(constB139) | v90(constB139, 2))),
% 54.72/34.90 inference(quant_inst,[status(thm)],[])).
% 54.72/34.90 tff(27543,plain,
% 54.72/34.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB138, 2)) | (~nextState(constB138, constB139)) | v100(constB139) | v90(constB139, 2)),
% 54.72/34.90 inference(modus_ponens,[status(thm)],[27542, 27541])).
% 54.72/34.90 tff(27544,plain,
% 54.72/34.90 ((~v90(constB138, 2)) | v100(constB139) | v90(constB139, 2)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27543, 2174, 23788])).
% 54.72/34.90 tff(27545,plain,
% 54.72/34.90 ((~v90(constB138, 2)) | v90(constB139, 2)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27544, 23800])).
% 54.72/34.90 tff(27546,plain,
% 54.72/34.90 (v90(constB139, 2)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27545, 27537])).
% 54.72/34.90 tff(27547,plain,
% 54.72/34.90 (~v121(constB139)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26731, 2857, 27546])).
% 54.72/34.90 tff(27548,plain,
% 54.72/34.90 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB139)) | (~v90(constB139, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB139)) | (~v90(constB139, 1)))),
% 54.72/34.90 inference(rewrite,[status(thm)],[])).
% 54.72/34.90 tff(27549,plain,
% 54.72/34.90 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB139)) | (~v90(constB139, 1)))),
% 54.72/34.90 inference(quant_inst,[status(thm)],[])).
% 54.72/34.90 tff(27550,plain,
% 54.72/34.90 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB139)) | (~v90(constB139, 1))),
% 54.72/34.90 inference(modus_ponens,[status(thm)],[27549, 27548])).
% 54.72/34.90 tff(27551,plain,
% 54.72/34.90 (~v119(constB139)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27550, 2868, 27499])).
% 54.72/34.90 tff(27552,plain,
% 54.72/34.90 (~v130(constB139, 1)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26813, 3309, 27551, 27547, 27515, 27514, 27513, 27503])).
% 54.72/34.90 tff(27553,plain,
% 54.72/34.90 (~v127(constB139, 1)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[24096, 27552])).
% 54.72/34.90 tff(27554,plain,
% 54.72/34.90 (~v129(constB140, 1)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[24101, 27553])).
% 54.72/34.90 tff(27555,plain,
% 54.72/34.90 (v100(constB140)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26787, 27546, 26481, 26418, 27511])).
% 54.72/34.90 tff(27556,plain,
% 54.72/34.90 ((~v90(constB140, 1)) | v129(constB140, 1)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[24108, 1309, 27555])).
% 54.72/34.90 tff(27557,plain,
% 54.72/34.90 (~v90(constB140, 1)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27556, 27554])).
% 54.72/34.90 tff(27558,plain,
% 54.72/34.90 (~v90(constB141, 1)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[24117, 27557])).
% 54.72/34.90 tff(27559,plain,
% 54.72/34.90 (~v130(constB139, 2)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26831, 2904, 27551, 27547, 27515, 27514, 27513, 27503])).
% 54.72/34.90 tff(27560,plain,
% 54.72/34.90 (~v127(constB139, 2)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26605, 27559])).
% 54.72/34.90 tff(27561,plain,
% 54.72/34.90 (~v129(constB140, 2)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26610, 27560])).
% 54.72/34.90 tff(27562,plain,
% 54.72/34.90 ((~v90(constB140, 2)) | v129(constB140, 2)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26614, 1223, 27555])).
% 54.72/34.90 tff(27563,plain,
% 54.72/34.90 (~v90(constB140, 2)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27562, 27561])).
% 54.72/34.90 tff(27564,plain,
% 54.72/34.90 (~v90(constB141, 2)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26624, 27563])).
% 54.72/34.90 tff(27565,plain,
% 54.72/34.90 (v127(constB139, 0)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26560, 27512])).
% 54.72/34.90 tff(27566,plain,
% 54.72/34.90 (v129(constB140, 0)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26565, 27565])).
% 54.72/34.90 tff(27567,plain,
% 54.72/34.90 (v90(constB140, 0)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26572, 1377, 27555, 27566])).
% 54.72/34.90 tff(27568,plain,
% 54.72/34.90 (v90(constB141, 0)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26582, 27567])).
% 54.72/34.90 tff(27569,plain,
% 54.72/34.90 (v90(constB141, 1) | v90(constB141, 2) | v120(constB141)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26629, 1414, 27568])).
% 54.72/34.90 tff(27570,plain,
% 54.72/34.90 (v120(constB141)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27569, 27564, 27558])).
% 54.72/34.90 tff(27571,plain,
% 54.72/34.90 (v100(constB142)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26427, 27558, 26418])).
% 54.72/34.90 tff(27572,plain,
% 54.72/34.90 (v129(constB142, 0)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26650, 27571])).
% 54.72/34.90 tff(27573,plain,
% 54.72/34.90 (v127(constB141, 0)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26655, 27572])).
% 54.72/34.90 tff(27574,plain,
% 54.72/34.90 ((~v127(constB141, 0)) | v130(constB141, 0)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26662, 1671, 24151])).
% 54.72/34.90 tff(27575,plain,
% 54.72/34.90 (v130(constB141, 0)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27574, 27573])).
% 54.72/34.90 tff(27576,plain,
% 54.72/34.90 ($false),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26634, 1657, 27575, 27570])).
% 54.72/34.90 tff(27577,plain,((~v124(constB137)) | (~v90(constB142, 0)) | (~v90(constB142, 1)) | (~v100(constB138))), inference(lemma,lemma(discharge,[]))).
% 54.72/34.90 tff(27578,plain,
% 54.72/34.90 (~v124(constB137)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27577, 27412, 26418, 26481])).
% 54.72/34.90 tff(27579,plain,
% 54.72/34.90 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB138, 1)) | v129(constB138, 1) | (~v100(constB138)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB138, 1)) | v129(constB138, 1) | (~v100(constB138)))),
% 54.72/34.90 inference(rewrite,[status(thm)],[])).
% 54.72/34.90 tff(27580,plain,
% 54.72/34.90 (((~v90(constB138, 1)) | (~v100(constB138)) | v129(constB138, 1)) <=> ((~v90(constB138, 1)) | v129(constB138, 1) | (~v100(constB138)))),
% 54.72/34.90 inference(rewrite,[status(thm)],[])).
% 54.72/34.90 tff(27581,plain,
% 54.72/34.90 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB138, 1)) | (~v100(constB138)) | v129(constB138, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB138, 1)) | v129(constB138, 1) | (~v100(constB138))))),
% 54.72/34.90 inference(monotonicity,[status(thm)],[27580])).
% 54.72/34.90 tff(27582,plain,
% 54.72/34.90 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB138, 1)) | (~v100(constB138)) | v129(constB138, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB138, 1)) | v129(constB138, 1) | (~v100(constB138)))),
% 54.72/34.90 inference(transitivity,[status(thm)],[27581, 27579])).
% 54.72/34.90 tff(27583,plain,
% 54.72/34.90 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB138, 1)) | (~v100(constB138)) | v129(constB138, 1))),
% 54.72/34.90 inference(quant_inst,[status(thm)],[])).
% 54.72/34.90 tff(27584,plain,
% 54.72/34.90 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB138, 1)) | v129(constB138, 1) | (~v100(constB138))),
% 54.72/34.90 inference(modus_ponens,[status(thm)],[27583, 27582])).
% 54.72/34.90 tff(27585,plain,
% 54.72/34.90 (v129(constB138, 1) | (~v100(constB138))),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27584, 1309, 26903])).
% 54.72/34.90 tff(27586,plain,
% 54.72/34.90 (v129(constB138, 1)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27585, 27412])).
% 54.72/34.90 tff(27587,plain,
% 54.72/34.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB137, constB138)) | v127(constB137, 1) | (~v129(constB138, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB137, constB138)) | v127(constB137, 1) | (~v129(constB138, 1)))),
% 54.72/34.90 inference(rewrite,[status(thm)],[])).
% 54.72/34.90 tff(27588,plain,
% 54.72/34.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB137, constB138)) | v127(constB137, 1) | (~v129(constB138, 1)))),
% 54.72/34.90 inference(quant_inst,[status(thm)],[])).
% 54.72/34.90 tff(27589,plain,
% 54.72/34.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB137, constB138)) | v127(constB137, 1) | (~v129(constB138, 1))),
% 54.72/34.90 inference(modus_ponens,[status(thm)],[27588, 27587])).
% 54.72/34.90 tff(27590,plain,
% 54.72/34.90 (v127(constB137, 1) | (~v129(constB138, 1))),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27589, 1294, 23497])).
% 54.72/34.90 tff(27591,plain,
% 54.72/34.90 (v127(constB137, 1)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27590, 27586])).
% 54.72/34.90 tff(27592,plain,
% 54.72/34.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB137, 1)) | v26(constB137) | v130(constB137, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB137, 1)) | v26(constB137) | v130(constB137, 1))),
% 54.72/34.90 inference(rewrite,[status(thm)],[])).
% 54.72/34.90 tff(27593,plain,
% 54.72/34.90 ((v26(constB137) | v130(constB137, 1) | (~v127(constB137, 1))) <=> ((~v127(constB137, 1)) | v26(constB137) | v130(constB137, 1))),
% 54.72/34.90 inference(rewrite,[status(thm)],[])).
% 54.72/34.90 tff(27594,plain,
% 54.72/34.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB137) | v130(constB137, 1) | (~v127(constB137, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB137, 1)) | v26(constB137) | v130(constB137, 1)))),
% 54.72/34.90 inference(monotonicity,[status(thm)],[27593])).
% 54.72/34.90 tff(27595,plain,
% 54.72/34.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB137) | v130(constB137, 1) | (~v127(constB137, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB137, 1)) | v26(constB137) | v130(constB137, 1))),
% 54.72/34.90 inference(transitivity,[status(thm)],[27594, 27592])).
% 54.72/34.90 tff(27596,plain,
% 54.72/34.90 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB137) | v130(constB137, 1) | (~v127(constB137, 1)))),
% 54.72/34.90 inference(quant_inst,[status(thm)],[])).
% 54.72/34.90 tff(27597,plain,
% 54.72/34.90 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB137, 1)) | v26(constB137) | v130(constB137, 1)),
% 54.72/34.90 inference(modus_ponens,[status(thm)],[27596, 27595])).
% 54.72/34.90 tff(27598,plain,
% 54.72/34.90 ((~v127(constB137, 1)) | v130(constB137, 1)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27597, 1276, 23489])).
% 54.72/34.90 tff(27599,plain,
% 54.72/34.90 (v130(constB137, 1)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27598, 27591])).
% 54.72/34.90 tff(27600,plain,
% 54.72/34.90 (v90(constB137, 0)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[23423, 22783])).
% 54.72/34.90 tff(27601,plain,
% 54.72/34.90 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v123(constB137)) | (~v90(constB137, 0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | (~v123(constB137)) | (~v90(constB137, 0)))),
% 54.72/34.90 inference(rewrite,[status(thm)],[])).
% 54.72/34.90 tff(27602,plain,
% 54.72/34.90 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v123(constB137)) | (~v90(constB137, 0)))),
% 54.72/34.90 inference(quant_inst,[status(thm)],[])).
% 54.72/34.90 tff(27603,plain,
% 54.72/34.90 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | (~v123(constB137)) | (~v90(constB137, 0))),
% 54.72/34.90 inference(modus_ponens,[status(thm)],[27602, 27601])).
% 54.72/34.90 tff(27604,plain,
% 54.72/34.90 (~v123(constB137)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27603, 5887, 27600])).
% 54.72/34.90 tff(27605,plain,
% 54.72/34.90 (~v119(constB137)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[23645, 5865, 27600])).
% 54.72/34.90 tff(27606,plain,
% 54.72/34.90 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v121(constB137)) | (~v90(constB137, 0)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | (~v121(constB137)) | (~v90(constB137, 0)))),
% 54.72/34.90 inference(rewrite,[status(thm)],[])).
% 54.72/34.90 tff(27607,plain,
% 54.72/34.90 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v121(constB137)) | (~v90(constB137, 0)))),
% 54.72/34.90 inference(quant_inst,[status(thm)],[])).
% 54.72/34.90 tff(27608,plain,
% 54.72/34.90 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | (~v121(constB137)) | (~v90(constB137, 0))),
% 54.72/34.90 inference(modus_ponens,[status(thm)],[27607, 27606])).
% 54.72/34.90 tff(27609,plain,
% 54.72/34.90 (~v121(constB137)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27608, 5876, 27600])).
% 54.72/34.90 tff(27610,plain,
% 54.72/34.90 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB137) | v120(constB137) | v121(constB137) | v122(constB137) | v123(constB137) | v124(constB137) | (~v130(constB137, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB137) | v120(constB137) | v121(constB137) | v122(constB137) | v123(constB137) | v124(constB137) | (~v130(constB137, 1)))),
% 54.72/34.90 inference(rewrite,[status(thm)],[])).
% 54.72/34.90 tff(27611,plain,
% 54.72/34.90 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB137) | v120(constB137) | v121(constB137) | v122(constB137) | v123(constB137) | v124(constB137) | (~v130(constB137, 1)))),
% 54.72/34.90 inference(quant_inst,[status(thm)],[])).
% 54.72/34.90 tff(27612,plain,
% 54.72/34.90 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB137) | v120(constB137) | v121(constB137) | v122(constB137) | v123(constB137) | v124(constB137) | (~v130(constB137, 1))),
% 54.72/34.90 inference(modus_ponens,[status(thm)],[27611, 27610])).
% 54.72/34.90 tff(27613,plain,
% 54.72/34.90 (v120(constB137) | v122(constB137) | v124(constB137) | (~v130(constB137, 1))),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27612, 3309, 27609, 27605, 27604])).
% 54.72/34.90 tff(27614,plain,
% 54.72/34.90 (v122(constB137)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27613, 27599, 27578, 27490])).
% 54.72/34.90 tff(27615,assumption,(v90(constB137, 0)), introduced(assumption)).
% 54.72/34.90 tff(27616,assumption,(~v124(constB137)), introduced(assumption)).
% 54.72/34.90 tff(27617,plain,
% 54.72/34.90 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB137, 0)) | v90(constB137, 1) | (~v90(constB137, 2)) | v124(constB137))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB137, 0)) | v90(constB137, 1) | (~v90(constB137, 2)) | v124(constB137))),
% 54.72/34.90 inference(rewrite,[status(thm)],[])).
% 54.72/34.90 tff(27618,plain,
% 54.72/34.90 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB137, 0)) | v90(constB137, 1) | (~v90(constB137, 2)) | v124(constB137))),
% 54.72/34.90 inference(quant_inst,[status(thm)],[])).
% 54.72/34.90 tff(27619,plain,
% 54.72/34.90 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB137, 0)) | v90(constB137, 1) | (~v90(constB137, 2)) | v124(constB137)),
% 54.72/34.90 inference(modus_ponens,[status(thm)],[27618, 27617])).
% 54.72/34.90 tff(27620,plain,
% 54.72/34.90 ((~v90(constB137, 0)) | v90(constB137, 1) | (~v90(constB137, 2))),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27619, 2663, 27616])).
% 54.72/34.90 tff(27621,plain,
% 54.72/34.90 (~v90(constB137, 2)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27620, 23651, 27615])).
% 54.72/34.90 tff(27622,assumption,(~v120(constB137)), introduced(assumption)).
% 54.72/34.90 tff(27623,plain,
% 54.72/34.90 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB137, 0)) | v90(constB137, 1) | v90(constB137, 2) | v120(constB137))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB137, 0)) | v90(constB137, 1) | v90(constB137, 2) | v120(constB137))),
% 54.72/34.90 inference(rewrite,[status(thm)],[])).
% 54.72/34.90 tff(27624,plain,
% 54.72/34.90 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB137, 0)) | v90(constB137, 1) | v90(constB137, 2) | v120(constB137))),
% 54.72/34.90 inference(quant_inst,[status(thm)],[])).
% 54.72/34.90 tff(27625,plain,
% 54.72/34.90 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB137, 0)) | v90(constB137, 1) | v90(constB137, 2) | v120(constB137)),
% 54.72/34.90 inference(modus_ponens,[status(thm)],[27624, 27623])).
% 54.72/34.90 tff(27626,plain,
% 54.72/34.90 ((~v90(constB137, 0)) | v90(constB137, 1) | v90(constB137, 2)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27625, 1414, 27622])).
% 54.72/34.90 tff(27627,plain,
% 54.72/34.90 ($false),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27626, 27621, 23651, 27615])).
% 54.72/34.90 tff(27628,plain,(v90(constB137, 1) | (~v90(constB137, 0)) | v120(constB137) | v124(constB137)), inference(lemma,lemma(discharge,[]))).
% 54.72/34.90 tff(27629,plain,
% 54.72/34.90 (v90(constB137, 1)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27628, 27490, 27600, 27578])).
% 54.72/34.90 tff(27630,plain,
% 54.72/34.90 (v90(constB136, 1)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27021, 27629])).
% 54.72/34.90 tff(27631,plain,
% 54.72/34.90 (v90(constB135, 1)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27029, 27630, 22614])).
% 54.72/34.90 tff(27632,plain,
% 54.72/34.90 ((~v90(constB135, 1)) | v90(constB135, 2) | v122(constB135)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[22982, 1956, 22791])).
% 54.72/34.90 tff(27633,plain,
% 54.72/34.90 (v90(constB135, 2)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27632, 27631, 22908])).
% 54.72/34.90 tff(27634,plain,
% 54.72/34.90 (v90(constB136, 2)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[23666, 27633, 22614])).
% 54.72/34.90 tff(27635,plain,
% 54.72/34.90 (v90(constB137, 2)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[23742, 27634])).
% 54.72/34.90 tff(27636,plain,
% 54.72/34.90 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB137)) | (~v90(constB137, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB137)) | (~v90(constB137, 2)))),
% 54.72/34.90 inference(rewrite,[status(thm)],[])).
% 54.72/34.90 tff(27637,plain,
% 54.72/34.90 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB137)) | (~v90(constB137, 2)))),
% 54.72/34.90 inference(quant_inst,[status(thm)],[])).
% 54.72/34.90 tff(27638,plain,
% 54.72/34.90 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB137)) | (~v90(constB137, 2))),
% 54.72/34.90 inference(modus_ponens,[status(thm)],[27637, 27636])).
% 54.72/34.90 tff(27639,plain,
% 54.72/34.90 ($false),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27638, 2797, 27635, 27614])).
% 54.72/34.90 tff(27640,plain,(v100(constB136) | (~v90(constB138, 1)) | (~v90(constB142, 1)) | (~v90(constB142, 0)) | v122(constB141) | v90(constB127, 2) | (~v90(constB138, 2))), inference(lemma,lemma(discharge,[]))).
% 54.72/34.90 tff(27641,plain,
% 54.72/34.90 (v100(constB136)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27640, 26900, 26418, 26459, 26466, 26097, 26885])).
% 54.72/34.90 tff(27642,assumption,(v124(constB135)), introduced(assumption)).
% 54.72/34.90 tff(27643,plain,
% 54.72/34.90 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB135)) | (~v130(constB135, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB135)) | (~v130(constB135, 0)))),
% 54.72/34.90 inference(rewrite,[status(thm)],[])).
% 54.72/34.90 tff(27644,plain,
% 54.72/34.90 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB135)) | (~v130(constB135, 0)))),
% 54.72/34.90 inference(quant_inst,[status(thm)],[])).
% 54.72/34.90 tff(27645,plain,
% 54.72/34.90 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB135)) | (~v130(constB135, 0))),
% 54.72/34.90 inference(modus_ponens,[status(thm)],[27644, 27643])).
% 54.72/34.90 tff(27646,plain,
% 54.72/34.90 (~v130(constB135, 0)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27645, 3274, 27642])).
% 54.72/34.90 tff(27647,plain,
% 54.72/34.90 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB135)) | v114(constB135))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB135)) | v114(constB135))),
% 54.72/34.90 inference(rewrite,[status(thm)],[])).
% 54.72/34.90 tff(27648,plain,
% 54.72/34.90 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB135)) | v114(constB135))),
% 54.72/34.90 inference(quant_inst,[status(thm)],[])).
% 54.72/34.90 tff(27649,plain,
% 54.72/34.90 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB135)) | v114(constB135)),
% 54.72/34.90 inference(modus_ponens,[status(thm)],[27648, 27647])).
% 54.72/34.90 tff(27650,plain,
% 54.72/34.90 (v114(constB135)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27649, 2674, 27642])).
% 54.72/34.90 tff(27651,plain,
% 54.72/34.90 (v113(constB135)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[22673, 1049, 27650])).
% 54.72/34.90 tff(27652,plain,
% 54.72/34.90 (~v90(constB136, 0)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[23371, 27651, 27646])).
% 54.72/34.90 tff(27653,plain,
% 54.72/34.90 (v100(constB136)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[22782, 27652])).
% 54.72/34.90 tff(27654,plain,
% 54.72/34.90 (v130(constB135, 2)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[23720, 2741, 27642])).
% 54.72/34.90 tff(27655,plain,
% 54.72/34.90 (v127(constB135, 2)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[23708, 27654])).
% 54.72/34.90 tff(27656,plain,
% 54.72/34.90 (v129(constB136, 2)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[23703, 27655])).
% 54.72/34.90 tff(27657,plain,
% 54.72/34.90 (v90(constB136, 2) | (~v100(constB136))),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[23697, 2324, 27656])).
% 54.72/34.90 tff(27658,plain,
% 54.72/34.90 (v90(constB136, 2)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27657, 27653])).
% 54.72/34.90 tff(27659,plain,
% 54.72/34.90 (v90(constB137, 2)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[23742, 27658])).
% 54.72/34.90 tff(27660,plain,
% 54.72/34.90 (~v122(constB137)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27638, 2797, 27659])).
% 54.72/34.90 tff(27661,plain,
% 54.72/34.90 (~v90(constB137, 0)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[23398, 27652])).
% 54.72/34.90 tff(27662,plain,
% 54.72/34.90 (v100(constB138)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[23773, 27661])).
% 54.72/34.90 tff(27663,plain,
% 54.72/34.90 (~v124(constB137)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27577, 27662, 26418, 26481])).
% 54.72/34.90 tff(27664,plain,
% 54.72/34.90 (~v120(constB137)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27489, 27662, 26901])).
% 54.72/34.90 tff(27665,assumption,(v123(constB137)), introduced(assumption)).
% 54.72/34.90 tff(27666,plain,
% 54.72/34.90 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB137)) | v130(constB137, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB137)) | v130(constB137, 2))),
% 54.72/34.90 inference(rewrite,[status(thm)],[])).
% 54.72/34.90 tff(27667,plain,
% 54.72/34.90 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB137)) | v130(constB137, 2))),
% 54.72/34.90 inference(quant_inst,[status(thm)],[])).
% 54.72/34.90 tff(27668,plain,
% 54.72/34.90 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB137)) | v130(constB137, 2)),
% 54.72/34.90 inference(modus_ponens,[status(thm)],[27667, 27666])).
% 54.72/34.90 tff(27669,plain,
% 54.72/34.90 (v130(constB137, 2)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27668, 2525, 27665])).
% 54.72/34.90 tff(27670,plain,
% 54.72/34.90 (v127(constB137, 2)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27523, 27669])).
% 54.72/34.90 tff(27671,plain,
% 54.72/34.90 (v129(constB138, 2)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27528, 27670])).
% 54.72/34.90 tff(27672,plain,
% 54.72/34.90 (v90(constB138, 2)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27536, 27671])).
% 54.72/34.90 tff(27673,plain,
% 54.72/34.90 (v90(constB139, 2)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27545, 27672])).
% 54.72/34.90 tff(27674,plain,
% 54.72/34.90 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB137)) | (~v130(constB137, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB137)) | (~v130(constB137, 1)))),
% 54.72/34.90 inference(rewrite,[status(thm)],[])).
% 54.72/34.90 tff(27675,plain,
% 54.72/34.90 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB137)) | (~v130(constB137, 1)))),
% 54.72/34.90 inference(quant_inst,[status(thm)],[])).
% 54.72/34.90 tff(27676,plain,
% 54.72/34.90 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB137)) | (~v130(constB137, 1))),
% 54.72/34.90 inference(modus_ponens,[status(thm)],[27675, 27674])).
% 54.72/34.90 tff(27677,plain,
% 54.72/34.90 (~v130(constB137, 1)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27676, 2581, 27665])).
% 54.72/34.90 tff(27678,plain,
% 54.72/34.90 (~v127(constB137, 1)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27598, 27677])).
% 54.72/34.90 tff(27679,plain,
% 54.72/34.90 (~v129(constB138, 1)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27590, 27678])).
% 54.72/34.90 tff(27680,plain,
% 54.72/34.90 ((~v90(constB138, 1)) | v129(constB138, 1)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27584, 1309, 27420])).
% 54.72/34.90 tff(27681,plain,
% 54.72/34.90 (~v90(constB138, 1)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27680, 27679])).
% 54.72/34.90 tff(27682,plain,
% 54.72/34.90 (~v90(constB139, 1)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26899, 27681])).
% 54.72/34.90 tff(27683,plain,
% 54.72/34.90 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB137)) | v130(constB137, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB137)) | v130(constB137, 0))),
% 54.72/34.90 inference(rewrite,[status(thm)],[])).
% 54.72/34.90 tff(27684,plain,
% 54.72/34.90 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB137)) | v130(constB137, 0))),
% 54.72/34.90 inference(quant_inst,[status(thm)],[])).
% 54.72/34.90 tff(27685,plain,
% 54.72/34.90 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB137)) | v130(constB137, 0)),
% 54.72/34.90 inference(modus_ponens,[status(thm)],[27684, 27683])).
% 54.72/34.90 tff(27686,plain,
% 54.72/34.90 (v130(constB137, 0)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27685, 2622, 27665])).
% 54.72/34.90 tff(27687,plain,
% 54.72/34.90 ((~v130(constB137, 0)) | v127(constB137, 0)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[23582, 1347, 23489])).
% 54.72/34.90 tff(27688,plain,
% 54.72/34.90 (v127(constB137, 0)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27687, 27686])).
% 54.72/34.90 tff(27689,plain,
% 54.72/34.90 (v129(constB138, 0)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[23588, 27688])).
% 54.72/34.90 tff(27690,plain,
% 54.72/34.90 (v90(constB138, 0) | (~v129(constB138, 0))),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[23595, 1377, 27420])).
% 54.72/34.90 tff(27691,plain,
% 54.72/34.90 (v90(constB138, 0)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27690, 27689])).
% 54.72/34.90 tff(27692,plain,
% 54.72/34.90 (v90(constB139, 0)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[23849, 27691])).
% 54.72/34.90 tff(27693,plain,
% 54.72/34.90 (v124(constB139)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26889, 2663, 27692, 27682, 27673])).
% 54.72/34.90 tff(27694,plain,
% 54.72/34.90 (~v130(constB139, 0)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26519, 3274, 27693])).
% 54.72/34.90 tff(27695,plain,
% 54.72/34.90 (~v127(constB139, 0)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[23887, 27694])).
% 54.72/34.90 tff(27696,plain,
% 54.72/34.90 (~v90(constB140, 0)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[24042, 27695])).
% 54.72/34.90 tff(27697,plain,
% 54.72/34.90 (~v90(constB141, 0)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[24126, 27696])).
% 54.72/34.90 tff(27698,plain,
% 54.72/34.90 (v100(constB142)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26746, 27697, 26481])).
% 54.72/34.90 tff(27699,plain,
% 54.72/34.90 (v129(constB142, 0)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26650, 27698])).
% 54.72/34.90 tff(27700,plain,
% 54.72/34.90 (v127(constB141, 0)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26655, 27699])).
% 54.72/34.90 tff(27701,plain,
% 54.72/34.90 (v130(constB141, 0)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27574, 27700])).
% 54.72/34.90 tff(27702,plain,
% 54.72/34.90 (~v124(constB141)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26850, 3274, 27701])).
% 54.72/34.90 tff(27703,plain,
% 54.72/34.90 (v129(constB142, 1)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26637, 27698])).
% 54.72/34.90 tff(27704,plain,
% 54.72/34.90 (v127(constB141, 1)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[24268, 27703])).
% 54.72/34.90 tff(27705,plain,
% 54.72/34.90 (v130(constB141, 1)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[24263, 27704])).
% 54.72/34.90 tff(27706,plain,
% 54.72/34.90 (~v123(constB141)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[24255, 2581, 27705])).
% 54.72/34.90 tff(27707,plain,
% 54.72/34.90 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB141)) | (~v130(constB141, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB141)) | (~v130(constB141, 1)))),
% 54.72/34.90 inference(rewrite,[status(thm)],[])).
% 54.72/34.90 tff(27708,plain,
% 54.72/34.90 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB141)) | (~v130(constB141, 1)))),
% 54.72/34.90 inference(quant_inst,[status(thm)],[])).
% 54.72/34.90 tff(27709,plain,
% 54.72/34.90 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB141)) | (~v130(constB141, 1))),
% 54.72/34.90 inference(modus_ponens,[status(thm)],[27708, 27707])).
% 54.72/34.90 tff(27710,plain,
% 54.72/34.90 (~v119(constB141)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27709, 1262, 27705])).
% 54.72/34.90 tff(27711,plain,
% 54.72/34.90 (~v120(constB141)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26634, 1657, 27701])).
% 54.72/34.90 tff(27712,assumption,(v122(constB141)), introduced(assumption)).
% 54.72/34.90 tff(27713,plain,
% 54.72/34.90 (v116(constB141)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26465, 2120, 27712])).
% 54.72/34.90 tff(27714,plain,
% 54.72/34.90 (v115(constB141)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26361, 1021, 27713])).
% 54.72/34.90 tff(27715,plain,
% 54.72/34.90 (v114(constB141)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[24139, 1035, 27714])).
% 54.72/34.90 tff(27716,plain,
% 54.72/34.90 (~v130(constB141, 0)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26725, 2407, 27712])).
% 54.72/34.90 tff(27717,plain,
% 54.72/34.90 (~v127(constB141, 0)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27574, 27716])).
% 54.72/34.90 tff(27718,plain,
% 54.72/34.90 (~v129(constB142, 0)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26655, 27717])).
% 54.72/34.90 tff(27719,plain,
% 54.72/34.90 (~v100(constB142)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26650, 27718])).
% 54.72/34.90 tff(27720,plain,
% 54.72/34.90 (~v110(constB142)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[24202, 27719])).
% 54.72/34.90 tff(27721,plain,
% 54.72/34.90 (~v108(constB141)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[24176, 27720])).
% 54.72/34.90 tff(27722,plain,
% 54.72/34.90 (~v112(constB141)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[24165, 1075, 27721])).
% 54.72/34.90 tff(27723,plain,
% 54.72/34.90 (~v113(constB141)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[24158, 27722])).
% 54.72/34.90 tff(27724,plain,
% 54.72/34.90 ($false),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[24146, 1049, 27723, 27715])).
% 54.72/34.90 tff(27725,plain,((~v122(constB141)) | (~v90(constB142, 0))), inference(lemma,lemma(discharge,[]))).
% 54.72/34.90 tff(27726,plain,
% 54.72/34.90 (~v122(constB141)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27725, 26481])).
% 54.72/34.90 tff(27727,plain,
% 54.72/34.90 (v119(constB141) | v120(constB141) | v121(constB141) | v123(constB141) | v124(constB141) | (~v130(constB141, 1))),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26784, 3309, 27726])).
% 54.72/34.90 tff(27728,plain,
% 54.72/34.90 (v121(constB141)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27727, 27711, 27705, 27710, 27706, 27702])).
% 54.72/34.90 tff(27729,plain,
% 54.72/34.90 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB139)) | v130(constB139, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB139)) | v130(constB139, 2))),
% 54.72/34.90 inference(rewrite,[status(thm)],[])).
% 54.72/34.90 tff(27730,plain,
% 54.72/34.90 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB139)) | v130(constB139, 2))),
% 54.72/34.90 inference(quant_inst,[status(thm)],[])).
% 54.72/34.90 tff(27731,plain,
% 54.72/34.90 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB139)) | v130(constB139, 2)),
% 54.72/34.90 inference(modus_ponens,[status(thm)],[27730, 27729])).
% 54.72/34.90 tff(27732,plain,
% 54.72/34.90 (v130(constB139, 2)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27731, 2741, 27693])).
% 54.72/34.90 tff(27733,plain,
% 54.72/34.90 (v127(constB139, 2)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[23867, 27732])).
% 54.72/34.90 tff(27734,plain,
% 54.72/34.90 (v129(constB140, 2)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[23875, 27733])).
% 54.72/34.90 tff(27735,plain,
% 54.72/34.90 (v100(constB140)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[24050, 27696, 27692])).
% 54.72/34.90 tff(27736,plain,
% 54.72/34.90 (v90(constB140, 2)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[24057, 2324, 27735, 27734])).
% 54.72/34.90 tff(27737,plain,
% 54.72/34.90 (v90(constB141, 2)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[24084, 27736])).
% 54.72/34.90 tff(27738,plain,
% 54.72/34.90 ($false),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26776, 2857, 27737, 27728])).
% 54.72/34.90 tff(27739,plain,((~v123(constB137)) | (~v90(constB142, 0)) | (~v90(constB142, 1)) | (~v100(constB138))), inference(lemma,lemma(discharge,[]))).
% 54.72/34.90 tff(27740,plain,
% 54.72/34.90 (~v123(constB137)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27739, 27662, 26418, 26481])).
% 54.72/34.90 tff(27741,plain,
% 54.72/34.90 (~v119(constB137)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[23746, 27740])).
% 54.72/34.90 tff(27742,plain,
% 54.72/34.90 (v129(constB138, 1)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27585, 27662])).
% 54.72/34.90 tff(27743,plain,
% 54.72/34.90 (v127(constB137, 1)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27590, 27742])).
% 54.72/34.90 tff(27744,plain,
% 54.72/34.90 (v130(constB137, 1)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27598, 27743])).
% 54.72/34.90 tff(27745,plain,
% 54.72/34.90 (v130(constB137, 1)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[23484, 1877, 23574])).
% 54.72/34.90 tff(27746,plain,
% 54.72/34.90 (v127(constB137, 1)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[23493, 27745])).
% 54.72/34.90 tff(27747,plain,
% 54.72/34.90 (v129(constB138, 1)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[23501, 27746])).
% 54.72/34.90 tff(27748,plain,
% 54.72/34.90 (v90(constB138, 1)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27465, 27747])).
% 54.72/34.90 tff(27749,plain,
% 54.72/34.90 (v90(constB139, 1)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[23808, 27748])).
% 54.72/34.90 tff(27750,plain,
% 54.72/34.90 (~v130(constB137, 2)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[23812, 1821, 23574])).
% 54.72/34.90 tff(27751,plain,
% 54.72/34.90 (~v127(constB137, 2)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[23820, 27750])).
% 54.72/34.90 tff(27752,plain,
% 54.72/34.90 (~v129(constB138, 2)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[23825, 27751])).
% 54.72/34.90 tff(27753,plain,
% 54.72/34.90 (~v90(constB138, 2)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27421, 27752])).
% 54.72/34.90 tff(27754,plain,
% 54.72/34.90 (~v90(constB139, 2)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[23839, 27753])).
% 54.72/34.90 tff(27755,plain,
% 54.72/34.90 (v90(constB138, 0)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[23633, 23574])).
% 54.72/34.90 tff(27756,plain,
% 54.72/34.90 (v90(constB139, 0)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[23849, 27755])).
% 54.72/34.90 tff(27757,plain,
% 54.72/34.90 ((~v90(constB139, 1)) | v90(constB139, 2) | v122(constB139)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[23853, 1956, 27756])).
% 54.72/34.90 tff(27758,plain,
% 54.72/34.90 (v122(constB139)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27757, 27754, 27749])).
% 54.72/34.90 tff(27759,plain,
% 54.72/34.90 (v130(constB139, 2)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[23858, 1967, 27758])).
% 54.72/34.90 tff(27760,plain,
% 54.72/34.90 (v127(constB139, 2)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[23867, 27759])).
% 54.72/34.90 tff(27761,plain,
% 54.72/34.90 (v129(constB140, 2)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[23875, 27760])).
% 54.72/34.90 tff(27762,plain,
% 54.72/34.90 (~v130(constB139, 0)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[23879, 2407, 27758])).
% 54.72/34.90 tff(27763,plain,
% 54.72/34.90 (~v127(constB139, 0)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[23887, 27762])).
% 54.72/34.90 tff(27764,plain,
% 54.72/34.90 (~v90(constB140, 0)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[24042, 27763])).
% 54.72/34.90 tff(27765,plain,
% 54.72/34.90 (v100(constB140)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[24050, 27764, 27756])).
% 54.72/34.90 tff(27766,plain,
% 54.72/34.90 (v90(constB140, 2)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[24057, 2324, 27765, 27761])).
% 54.72/34.90 tff(27767,plain,
% 54.72/34.90 (v90(constB141, 2)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[24084, 27766])).
% 54.72/34.90 tff(27768,plain,
% 54.72/34.90 (~v130(constB139, 1)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[24088, 2366, 27758])).
% 54.72/34.90 tff(27769,plain,
% 54.72/34.90 (~v127(constB139, 1)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[24096, 27768])).
% 54.72/34.90 tff(27770,plain,
% 54.72/34.90 (~v129(constB140, 1)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[24101, 27769])).
% 54.72/34.90 tff(27771,plain,
% 54.72/34.90 (~v90(constB140, 1)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[24108, 1309, 27765, 27770])).
% 54.72/34.90 tff(27772,plain,
% 54.72/34.90 (~v90(constB141, 1)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[24117, 27771])).
% 54.72/34.90 tff(27773,plain,
% 54.72/34.90 (~v90(constB141, 0)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[24126, 27764])).
% 54.72/34.90 tff(27774,plain,
% 54.72/34.90 (v100(constB142)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26746, 27773, 26481])).
% 54.72/34.90 tff(27775,plain,
% 54.72/34.90 (v129(constB142, 1)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[26637, 27774])).
% 54.72/34.90 tff(27776,plain,
% 54.72/34.90 (v127(constB141, 1)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[24268, 27775])).
% 54.72/34.90 tff(27777,plain,
% 54.72/34.90 (v130(constB141, 1)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[24263, 27776])).
% 54.72/34.90 tff(27778,plain,
% 54.72/34.90 (~v123(constB141)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[24255, 2581, 27777])).
% 54.72/34.90 tff(27779,plain,
% 54.72/34.90 (v90(constB141, 1) | (~v90(constB141, 2))),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[24130, 2308, 27773, 27778])).
% 54.72/34.90 tff(27780,plain,
% 54.72/34.90 ($false),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27779, 27772, 27767])).
% 54.72/34.90 tff(27781,plain,((~v121(constB137)) | (~v90(constB142, 1)) | (~v90(constB142, 0)) | (~v100(constB138))), inference(lemma,lemma(discharge,[]))).
% 54.72/34.90 tff(27782,plain,
% 54.72/34.90 (~v121(constB137)),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27781, 27662, 26418, 26481])).
% 54.72/34.90 tff(27783,plain,
% 54.72/34.90 ($false),
% 54.72/34.90 inference(unit_resolution,[status(thm)],[27612, 3309, 27782, 27744, 27741, 27740, 27664, 27663, 27660])).
% 54.72/34.91 tff(27784,plain,((~v124(constB135)) | (~v90(constB138, 1)) | (~v90(constB142, 1)) | (~v90(constB142, 0)) | v122(constB141)), inference(lemma,lemma(discharge,[]))).
% 54.72/34.91 tff(27785,plain,
% 54.72/34.91 (~v124(constB135)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27784, 26900, 26418, 26459, 26466])).
% 54.72/34.91 tff(27786,assumption,(v100(constB136)), introduced(assumption)).
% 54.72/34.91 tff(27787,plain,
% 54.72/34.91 (v110(constB136)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[23318, 27786])).
% 54.72/34.91 tff(27788,plain,
% 54.72/34.91 (v108(constB135)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[23326, 27787])).
% 54.72/34.91 tff(27789,plain,
% 54.72/34.91 (v112(constB135)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[23334, 27788])).
% 54.72/34.91 tff(27790,plain,
% 54.72/34.91 (v113(constB135)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[23338, 6677, 27789])).
% 54.72/34.91 tff(27791,assumption,(v122(constB135)), introduced(assumption)).
% 54.72/34.91 tff(27792,plain,
% 54.72/34.91 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB135)) | (~v130(constB135, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB135)) | (~v130(constB135, 0)))),
% 54.72/34.91 inference(rewrite,[status(thm)],[])).
% 54.72/34.91 tff(27793,plain,
% 54.72/34.91 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB135)) | (~v130(constB135, 0)))),
% 54.72/34.91 inference(quant_inst,[status(thm)],[])).
% 54.72/34.91 tff(27794,plain,
% 54.72/34.91 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB135)) | (~v130(constB135, 0))),
% 54.72/34.91 inference(modus_ponens,[status(thm)],[27793, 27792])).
% 54.72/34.91 tff(27795,plain,
% 54.72/34.91 (~v130(constB135, 0)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27794, 2407, 27791])).
% 54.72/34.91 tff(27796,plain,
% 54.72/34.91 (~v90(constB136, 0)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[23371, 27795, 27790])).
% 54.72/34.91 tff(27797,plain,
% 54.72/34.91 (~v90(constB137, 0)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[23398, 27796])).
% 54.72/34.91 tff(27798,plain,
% 54.72/34.91 (v100(constB138)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[23773, 27797])).
% 54.72/34.91 tff(27799,plain,
% 54.72/34.91 (~v123(constB137)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27739, 27798, 26418, 26481])).
% 54.72/34.91 tff(27800,plain,
% 54.72/34.91 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB135)) | (~v130(constB135, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB135)) | (~v130(constB135, 1)))),
% 54.72/34.91 inference(rewrite,[status(thm)],[])).
% 54.72/34.91 tff(27801,plain,
% 54.72/34.91 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB135)) | (~v130(constB135, 1)))),
% 54.72/34.91 inference(quant_inst,[status(thm)],[])).
% 54.72/34.91 tff(27802,plain,
% 54.72/34.91 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB135)) | (~v130(constB135, 1))),
% 54.72/34.91 inference(modus_ponens,[status(thm)],[27801, 27800])).
% 54.72/34.91 tff(27803,plain,
% 54.72/34.91 (~v130(constB135, 1)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27802, 2366, 27791])).
% 54.72/34.91 tff(27804,plain,
% 54.72/34.91 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB135, 1)) | v26(constB135) | v130(constB135, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB135, 1)) | v26(constB135) | v130(constB135, 1))),
% 54.72/34.91 inference(rewrite,[status(thm)],[])).
% 54.72/34.91 tff(27805,plain,
% 54.72/34.91 ((v26(constB135) | v130(constB135, 1) | (~v127(constB135, 1))) <=> ((~v127(constB135, 1)) | v26(constB135) | v130(constB135, 1))),
% 54.72/34.91 inference(rewrite,[status(thm)],[])).
% 54.72/34.91 tff(27806,plain,
% 54.72/34.91 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB135) | v130(constB135, 1) | (~v127(constB135, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB135, 1)) | v26(constB135) | v130(constB135, 1)))),
% 54.72/34.91 inference(monotonicity,[status(thm)],[27805])).
% 54.72/34.91 tff(27807,plain,
% 54.72/34.91 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB135) | v130(constB135, 1) | (~v127(constB135, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB135, 1)) | v26(constB135) | v130(constB135, 1))),
% 54.72/34.91 inference(transitivity,[status(thm)],[27806, 27804])).
% 54.72/34.91 tff(27808,plain,
% 54.72/34.91 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB135) | v130(constB135, 1) | (~v127(constB135, 1)))),
% 54.72/34.91 inference(quant_inst,[status(thm)],[])).
% 54.72/34.91 tff(27809,plain,
% 54.72/34.91 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB135, 1)) | v26(constB135) | v130(constB135, 1)),
% 54.72/34.91 inference(modus_ponens,[status(thm)],[27808, 27807])).
% 54.72/34.91 tff(27810,plain,
% 54.72/34.91 ((~v127(constB135, 1)) | v130(constB135, 1)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27809, 1276, 22662])).
% 54.72/34.91 tff(27811,plain,
% 54.72/34.91 (~v127(constB135, 1)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27810, 27803])).
% 54.72/34.91 tff(27812,plain,
% 54.72/34.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB135, constB136)) | v127(constB135, 1) | (~v129(constB136, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB135, constB136)) | v127(constB135, 1) | (~v129(constB136, 1)))),
% 54.72/34.91 inference(rewrite,[status(thm)],[])).
% 54.72/34.91 tff(27813,plain,
% 54.72/34.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB135, constB136)) | v127(constB135, 1) | (~v129(constB136, 1)))),
% 54.72/34.91 inference(quant_inst,[status(thm)],[])).
% 54.72/34.91 tff(27814,plain,
% 54.72/34.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB135, constB136)) | v127(constB135, 1) | (~v129(constB136, 1))),
% 54.72/34.91 inference(modus_ponens,[status(thm)],[27813, 27812])).
% 54.72/34.91 tff(27815,plain,
% 54.72/34.91 (v127(constB135, 1) | (~v129(constB136, 1))),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27814, 1294, 22617])).
% 54.72/34.91 tff(27816,plain,
% 54.72/34.91 (~v129(constB136, 1)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27815, 27811])).
% 54.72/34.91 tff(27817,plain,
% 54.72/34.91 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB136, 1)) | v129(constB136, 1) | (~v100(constB136)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB136, 1)) | v129(constB136, 1) | (~v100(constB136)))),
% 54.72/34.91 inference(rewrite,[status(thm)],[])).
% 54.72/34.91 tff(27818,plain,
% 54.72/34.91 (((~v90(constB136, 1)) | (~v100(constB136)) | v129(constB136, 1)) <=> ((~v90(constB136, 1)) | v129(constB136, 1) | (~v100(constB136)))),
% 54.72/34.91 inference(rewrite,[status(thm)],[])).
% 54.72/34.91 tff(27819,plain,
% 54.72/34.91 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB136, 1)) | (~v100(constB136)) | v129(constB136, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB136, 1)) | v129(constB136, 1) | (~v100(constB136))))),
% 54.72/34.91 inference(monotonicity,[status(thm)],[27818])).
% 54.72/34.91 tff(27820,plain,
% 54.72/34.91 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB136, 1)) | (~v100(constB136)) | v129(constB136, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB136, 1)) | v129(constB136, 1) | (~v100(constB136)))),
% 54.72/34.91 inference(transitivity,[status(thm)],[27819, 27817])).
% 54.72/34.91 tff(27821,plain,
% 54.72/34.91 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB136, 1)) | (~v100(constB136)) | v129(constB136, 1))),
% 54.72/34.91 inference(quant_inst,[status(thm)],[])).
% 54.72/34.91 tff(27822,plain,
% 54.72/34.91 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB136, 1)) | v129(constB136, 1) | (~v100(constB136))),
% 54.72/34.91 inference(modus_ponens,[status(thm)],[27821, 27820])).
% 54.72/34.91 tff(27823,plain,
% 54.72/34.91 ((~v90(constB136, 1)) | v129(constB136, 1)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27822, 1309, 27786])).
% 54.72/34.91 tff(27824,plain,
% 54.72/34.91 (~v90(constB136, 1)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27823, 27816])).
% 54.72/34.91 tff(27825,plain,
% 54.72/34.91 (~v90(constB137, 1)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27021, 27824])).
% 54.72/34.91 tff(27826,plain,
% 54.72/34.91 ($false),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[23744, 27825, 27799, 27797])).
% 54.72/34.91 tff(27827,plain,((~v122(constB135)) | (~v90(constB142, 1)) | (~v90(constB142, 0)) | (~v100(constB136))), inference(lemma,lemma(discharge,[]))).
% 54.72/34.91 tff(27828,plain,
% 54.72/34.91 (~v122(constB135)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27827, 26459, 26418, 27641])).
% 54.72/34.91 tff(27829,plain,
% 54.72/34.91 (~v121(constB133)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[22985, 27828])).
% 54.72/34.91 tff(27830,plain,
% 54.72/34.91 (~v119(constB133)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27004, 26459, 26418])).
% 54.72/34.91 tff(27831,plain,
% 54.72/34.91 (~v110(constB132)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[22173, 27226])).
% 54.72/34.91 tff(27832,plain,
% 54.72/34.91 (~v108(constB131)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[22150, 27831])).
% 54.72/34.91 tff(27833,plain,
% 54.72/34.91 (~v112(constB131)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[22139, 1075, 27832])).
% 54.72/34.91 tff(27834,plain,
% 54.72/34.91 (~v113(constB131)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[22132, 27833])).
% 54.72/34.91 tff(27835,plain,
% 54.72/34.91 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB131) | (~v125(constB131)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB131) | (~v125(constB131)))),
% 54.72/34.91 inference(rewrite,[status(thm)],[])).
% 54.72/34.91 tff(27836,plain,
% 54.72/34.91 (((~v125(constB131)) | v113(constB131)) <=> (v113(constB131) | (~v125(constB131)))),
% 54.72/34.91 inference(rewrite,[status(thm)],[])).
% 54.72/34.91 tff(27837,plain,
% 54.72/34.91 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB131)) | v113(constB131))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB131) | (~v125(constB131))))),
% 54.72/34.91 inference(monotonicity,[status(thm)],[27836])).
% 54.72/34.91 tff(27838,plain,
% 54.72/34.91 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB131)) | v113(constB131))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB131) | (~v125(constB131)))),
% 54.72/34.91 inference(transitivity,[status(thm)],[27837, 27835])).
% 54.72/34.91 tff(27839,plain,
% 54.72/34.91 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB131)) | v113(constB131))),
% 54.72/34.91 inference(quant_inst,[status(thm)],[])).
% 54.72/34.91 tff(27840,plain,
% 54.72/34.91 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB131) | (~v125(constB131))),
% 54.72/34.91 inference(modus_ponens,[status(thm)],[27839, 27838])).
% 54.72/34.91 tff(27841,plain,
% 54.72/34.91 (~v125(constB131)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27840, 2262, 27834])).
% 54.72/34.91 tff(27842,plain,
% 54.72/34.91 (~v114(constB131)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[22123, 1049, 27834])).
% 54.72/34.91 tff(27843,plain,
% 54.72/34.91 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB131) | (~v115(constB131)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB131) | (~v115(constB131)))),
% 54.72/34.91 inference(rewrite,[status(thm)],[])).
% 54.72/34.91 tff(27844,plain,
% 54.72/34.91 (((~v115(constB131)) | v114(constB131)) <=> (v114(constB131) | (~v115(constB131)))),
% 54.72/34.91 inference(rewrite,[status(thm)],[])).
% 54.72/34.91 tff(27845,plain,
% 54.72/34.91 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB131)) | v114(constB131))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB131) | (~v115(constB131))))),
% 54.72/34.91 inference(monotonicity,[status(thm)],[27844])).
% 54.72/34.91 tff(27846,plain,
% 54.72/34.91 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB131)) | v114(constB131))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB131) | (~v115(constB131)))),
% 54.72/34.91 inference(transitivity,[status(thm)],[27845, 27843])).
% 54.72/34.91 tff(27847,plain,
% 54.72/34.91 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB131)) | v114(constB131))),
% 54.72/34.91 inference(quant_inst,[status(thm)],[])).
% 54.72/34.91 tff(27848,plain,
% 54.72/34.91 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB131) | (~v115(constB131))),
% 54.72/34.91 inference(modus_ponens,[status(thm)],[27847, 27846])).
% 54.72/34.91 tff(27849,plain,
% 54.72/34.91 (~v115(constB131)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27848, 1035, 27842])).
% 54.72/34.91 tff(27850,plain,
% 54.72/34.91 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB131)) | v115(constB131))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB131)) | v115(constB131))),
% 54.72/34.91 inference(rewrite,[status(thm)],[])).
% 54.72/34.91 tff(27851,plain,
% 54.72/34.91 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB131)) | v115(constB131))),
% 54.72/34.91 inference(quant_inst,[status(thm)],[])).
% 54.72/34.91 tff(27852,plain,
% 54.72/34.91 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB131)) | v115(constB131)),
% 54.72/34.91 inference(modus_ponens,[status(thm)],[27851, 27850])).
% 54.72/34.91 tff(27853,plain,
% 54.72/34.91 (~v123(constB131)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27852, 2291, 27849])).
% 54.72/34.91 tff(27854,plain,
% 54.72/34.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB131, 0)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB131, 0)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, 0))),
% 54.72/34.91 inference(rewrite,[status(thm)],[])).
% 54.72/34.91 tff(27855,plain,
% 54.72/34.91 (((~nextState(constB131, constB132)) | (~v90(constB131, 0)) | v100(constB132) | v90(constB132, 0)) <=> ((~v90(constB131, 0)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, 0))),
% 54.72/34.91 inference(rewrite,[status(thm)],[])).
% 54.72/34.91 tff(27856,plain,
% 54.72/34.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB131, constB132)) | (~v90(constB131, 0)) | v100(constB132) | v90(constB132, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB131, 0)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, 0)))),
% 54.72/34.91 inference(monotonicity,[status(thm)],[27855])).
% 54.72/34.91 tff(27857,plain,
% 54.72/34.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB131, constB132)) | (~v90(constB131, 0)) | v100(constB132) | v90(constB132, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB131, 0)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, 0))),
% 54.72/34.91 inference(transitivity,[status(thm)],[27856, 27854])).
% 54.72/34.91 tff(27858,plain,
% 54.72/34.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB131, constB132)) | (~v90(constB131, 0)) | v100(constB132) | v90(constB132, 0))),
% 54.72/34.91 inference(quant_inst,[status(thm)],[])).
% 54.72/34.91 tff(27859,plain,
% 54.72/34.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB131, 0)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, 0)),
% 54.72/34.91 inference(modus_ponens,[status(thm)],[27858, 27857])).
% 54.72/34.91 tff(27860,plain,
% 54.72/34.91 ((~v90(constB131, 0)) | v100(constB132) | v90(constB132, 0)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27859, 1395, 22143])).
% 54.72/34.91 tff(27861,plain,
% 54.72/34.91 (~v90(constB131, 0)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27860, 27226, 22310])).
% 54.72/34.91 tff(27862,plain,
% 54.72/34.91 (~v90(constB132, 2)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[23123, 27226, 23038])).
% 54.72/34.91 tff(27863,plain,
% 54.72/34.91 (~v90(constB133, 2)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[23115, 27862])).
% 54.72/34.91 tff(27864,plain,
% 54.72/34.91 (v90(constB133, 1) | v90(constB133, 2)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[22332, 968, 22319, 22309])).
% 54.72/34.91 tff(27865,plain,
% 54.72/34.91 (v90(constB133, 1)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27864, 27863])).
% 54.72/34.91 tff(27866,plain,
% 54.72/34.91 (v90(constB132, 1)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[23023, 27865])).
% 54.72/34.91 tff(27867,plain,
% 54.72/34.91 (v90(constB131, 1)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27364, 27866, 27226])).
% 54.72/34.91 tff(27868,plain,
% 54.72/34.91 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB131, 0) | (~v90(constB131, 1)) | v90(constB131, 2) | v121(constB131))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB131, 0) | (~v90(constB131, 1)) | v90(constB131, 2) | v121(constB131))),
% 54.72/34.91 inference(rewrite,[status(thm)],[])).
% 54.72/34.91 tff(27869,plain,
% 54.72/34.91 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB131, 0) | (~v90(constB131, 1)) | v90(constB131, 2) | v121(constB131))),
% 54.72/34.91 inference(quant_inst,[status(thm)],[])).
% 54.72/34.91 tff(27870,plain,
% 54.72/34.91 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB131, 0) | (~v90(constB131, 1)) | v90(constB131, 2) | v121(constB131)),
% 54.72/34.91 inference(modus_ponens,[status(thm)],[27869, 27868])).
% 54.72/34.91 tff(27871,plain,
% 54.72/34.91 (v90(constB131, 0) | (~v90(constB131, 1)) | v121(constB131)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27870, 1731, 23038])).
% 54.72/34.91 tff(27872,plain,
% 54.72/34.91 (v121(constB131)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27871, 27867, 27861])).
% 54.72/34.91 tff(27873,plain,
% 54.72/34.91 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB131) | (~v121(constB131)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB131) | (~v121(constB131)))),
% 54.72/34.91 inference(rewrite,[status(thm)],[])).
% 54.72/34.91 tff(27874,plain,
% 54.72/34.91 (((~v121(constB131)) | v117(constB131)) <=> (v117(constB131) | (~v121(constB131)))),
% 54.72/34.91 inference(rewrite,[status(thm)],[])).
% 54.72/34.91 tff(27875,plain,
% 54.72/34.91 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB131)) | v117(constB131))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB131) | (~v121(constB131))))),
% 54.72/34.91 inference(monotonicity,[status(thm)],[27874])).
% 54.72/34.91 tff(27876,plain,
% 54.72/34.91 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB131)) | v117(constB131))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB131) | (~v121(constB131)))),
% 54.72/34.91 inference(transitivity,[status(thm)],[27875, 27873])).
% 54.72/34.91 tff(27877,plain,
% 54.72/34.91 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB131)) | v117(constB131))),
% 54.72/34.91 inference(quant_inst,[status(thm)],[])).
% 54.72/34.91 tff(27878,plain,
% 54.72/34.91 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB131) | (~v121(constB131))),
% 54.72/34.91 inference(modus_ponens,[status(thm)],[27877, 27876])).
% 54.72/34.91 tff(27879,plain,
% 54.72/34.91 (v117(constB131)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27878, 1742, 27872])).
% 54.72/34.91 tff(27880,plain,
% 54.72/34.91 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB131) | (~v117(constB131)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB131) | (~v117(constB131)))),
% 54.72/34.91 inference(rewrite,[status(thm)],[])).
% 54.72/34.91 tff(27881,plain,
% 54.72/34.91 (((~v117(constB131)) | v116(constB131)) <=> (v116(constB131) | (~v117(constB131)))),
% 54.72/34.91 inference(rewrite,[status(thm)],[])).
% 54.72/34.91 tff(27882,plain,
% 54.72/34.91 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB131)) | v116(constB131))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB131) | (~v117(constB131))))),
% 54.72/34.91 inference(monotonicity,[status(thm)],[27881])).
% 54.72/34.91 tff(27883,plain,
% 54.72/34.91 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB131)) | v116(constB131))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB131) | (~v117(constB131)))),
% 54.72/34.91 inference(transitivity,[status(thm)],[27882, 27880])).
% 54.72/34.91 tff(27884,plain,
% 54.72/34.91 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB131)) | v116(constB131))),
% 54.72/34.91 inference(quant_inst,[status(thm)],[])).
% 54.72/34.91 tff(27885,plain,
% 54.72/34.91 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB131) | (~v117(constB131))),
% 54.72/34.91 inference(modus_ponens,[status(thm)],[27884, 27883])).
% 54.72/34.91 tff(27886,plain,
% 54.72/34.91 (v116(constB131)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27885, 1007, 27879])).
% 54.72/34.91 tff(27887,plain,
% 54.72/34.91 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB131)) | v115(constB131))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB131)) | v115(constB131))),
% 54.72/34.91 inference(rewrite,[status(thm)],[])).
% 54.72/34.91 tff(27888,plain,
% 54.72/34.91 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB131)) | v115(constB131))),
% 54.72/34.91 inference(quant_inst,[status(thm)],[])).
% 54.72/34.91 tff(27889,plain,
% 54.72/34.91 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB131)) | v115(constB131)),
% 54.72/34.91 inference(modus_ponens,[status(thm)],[27888, 27887])).
% 54.72/34.91 tff(27890,plain,
% 54.72/34.91 (v115(constB131)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27889, 1021, 27886])).
% 54.72/34.91 tff(27891,plain,
% 54.72/34.91 ($false),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27848, 1035, 27842, 27890])).
% 54.72/34.91 tff(27892,plain,(v100(constB132) | v90(constB131, 2) | v119(constB133) | v90(constB132, 0)), inference(lemma,lemma(discharge,[]))).
% 54.72/34.91 tff(27893,plain,
% 54.72/34.91 (v90(constB132, 0)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27892, 23038, 22309, 27226])).
% 54.72/34.91 tff(27894,plain,
% 54.72/34.91 (v90(constB131, 0)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27233, 27893, 27226])).
% 54.72/34.91 tff(27895,plain,
% 54.72/34.91 (~v116(constB131)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27889, 1021, 27849])).
% 54.72/34.91 tff(27896,plain,
% 54.72/34.91 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB131) | (~v122(constB131)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB131) | (~v122(constB131)))),
% 54.72/34.91 inference(rewrite,[status(thm)],[])).
% 54.72/34.91 tff(27897,plain,
% 54.72/34.91 (((~v122(constB131)) | v116(constB131)) <=> (v116(constB131) | (~v122(constB131)))),
% 54.72/34.91 inference(rewrite,[status(thm)],[])).
% 54.72/34.91 tff(27898,plain,
% 54.72/34.91 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB131)) | v116(constB131))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB131) | (~v122(constB131))))),
% 54.72/34.91 inference(monotonicity,[status(thm)],[27897])).
% 54.72/34.91 tff(27899,plain,
% 54.72/34.91 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB131)) | v116(constB131))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB131) | (~v122(constB131)))),
% 54.72/34.91 inference(transitivity,[status(thm)],[27898, 27896])).
% 54.72/34.91 tff(27900,plain,
% 54.72/34.91 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB131)) | v116(constB131))),
% 54.72/34.91 inference(quant_inst,[status(thm)],[])).
% 54.72/34.91 tff(27901,plain,
% 54.72/34.91 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB131) | (~v122(constB131))),
% 54.72/34.91 inference(modus_ponens,[status(thm)],[27900, 27899])).
% 54.72/34.91 tff(27902,plain,
% 54.72/34.91 (~v122(constB131)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27901, 2120, 27895])).
% 54.72/34.91 tff(27903,plain,
% 54.72/34.91 ((~v90(constB131, 0)) | (~v90(constB131, 1)) | v90(constB131, 2)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27219, 1956, 27902])).
% 54.72/34.91 tff(27904,plain,
% 54.72/34.91 (~v90(constB131, 1)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27903, 27894, 23038])).
% 54.72/34.91 tff(27905,plain,
% 54.72/34.91 (~v117(constB131)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27885, 1007, 27895])).
% 54.72/34.91 tff(27906,plain,
% 54.72/34.91 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB131) | (~v118(constB131)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB131) | (~v118(constB131)))),
% 54.72/34.91 inference(rewrite,[status(thm)],[])).
% 54.72/34.91 tff(27907,plain,
% 54.72/34.91 (((~v118(constB131)) | v117(constB131)) <=> (v117(constB131) | (~v118(constB131)))),
% 54.72/34.91 inference(rewrite,[status(thm)],[])).
% 54.72/34.91 tff(27908,plain,
% 54.72/34.91 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB131)) | v117(constB131))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB131) | (~v118(constB131))))),
% 54.72/34.91 inference(monotonicity,[status(thm)],[27907])).
% 54.72/34.91 tff(27909,plain,
% 54.72/34.91 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB131)) | v117(constB131))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB131) | (~v118(constB131)))),
% 54.72/34.91 inference(transitivity,[status(thm)],[27908, 27906])).
% 54.72/34.91 tff(27910,plain,
% 54.72/34.91 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB131)) | v117(constB131))),
% 54.72/34.91 inference(quant_inst,[status(thm)],[])).
% 54.72/34.91 tff(27911,plain,
% 54.72/34.91 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB131) | (~v118(constB131))),
% 54.72/34.91 inference(modus_ponens,[status(thm)],[27910, 27909])).
% 54.72/34.91 tff(27912,plain,
% 54.72/34.91 (~v118(constB131)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27911, 993, 27905])).
% 54.72/34.91 tff(27913,plain,
% 54.72/34.91 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB131) | (~v120(constB131)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB131) | (~v120(constB131)))),
% 54.72/34.91 inference(rewrite,[status(thm)],[])).
% 54.72/34.91 tff(27914,plain,
% 54.72/34.91 (((~v120(constB131)) | v118(constB131)) <=> (v118(constB131) | (~v120(constB131)))),
% 54.72/34.91 inference(rewrite,[status(thm)],[])).
% 54.72/34.91 tff(27915,plain,
% 54.72/34.91 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB131)) | v118(constB131))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB131) | (~v120(constB131))))),
% 54.72/34.91 inference(monotonicity,[status(thm)],[27914])).
% 54.72/34.91 tff(27916,plain,
% 54.72/34.91 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB131)) | v118(constB131))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB131) | (~v120(constB131)))),
% 54.72/34.91 inference(transitivity,[status(thm)],[27915, 27913])).
% 54.72/34.91 tff(27917,plain,
% 54.72/34.91 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB131)) | v118(constB131))),
% 54.72/34.91 inference(quant_inst,[status(thm)],[])).
% 54.72/34.91 tff(27918,plain,
% 54.72/34.91 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB131) | (~v120(constB131))),
% 54.72/34.91 inference(modus_ponens,[status(thm)],[27917, 27916])).
% 54.72/34.91 tff(27919,plain,
% 54.72/34.91 (~v120(constB131)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27918, 1425, 27912])).
% 54.72/34.91 tff(27920,plain,
% 54.72/34.91 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB131, 0)) | v90(constB131, 1) | v90(constB131, 2) | v120(constB131))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB131, 0)) | v90(constB131, 1) | v90(constB131, 2) | v120(constB131))),
% 54.72/34.91 inference(rewrite,[status(thm)],[])).
% 54.72/34.91 tff(27921,plain,
% 54.72/34.91 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB131, 0)) | v90(constB131, 1) | v90(constB131, 2) | v120(constB131))),
% 54.72/34.91 inference(quant_inst,[status(thm)],[])).
% 54.72/34.91 tff(27922,plain,
% 54.72/34.91 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB131, 0)) | v90(constB131, 1) | v90(constB131, 2) | v120(constB131)),
% 54.72/34.91 inference(modus_ponens,[status(thm)],[27921, 27920])).
% 54.72/34.91 tff(27923,plain,
% 54.72/34.91 ((~v90(constB131, 0)) | v90(constB131, 1) | v90(constB131, 2)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27922, 1414, 27919])).
% 54.72/34.91 tff(27924,plain,
% 54.72/34.91 ($false),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27923, 27904, 27894, 23038])).
% 54.72/34.91 tff(27925,plain,(v90(constB131, 2) | v100(constB132) | v119(constB133)), inference(lemma,lemma(discharge,[]))).
% 54.72/34.91 tff(27926,plain,
% 54.72/34.91 (v90(constB131, 2)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27925, 27226, 22309])).
% 54.72/34.91 tff(27927,assumption,(v90(constB131, 2)), introduced(assumption)).
% 54.72/34.91 tff(27928,assumption,(~v90(constB131, 0)), introduced(assumption)).
% 54.72/34.91 tff(27929,assumption,(~v125(constB131)), introduced(assumption)).
% 54.72/34.91 tff(27930,plain,
% 54.72/34.91 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB131, 0) | (~v90(constB131, 1)) | (~v90(constB131, 2)) | v125(constB131))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB131, 0) | (~v90(constB131, 1)) | (~v90(constB131, 2)) | v125(constB131))),
% 54.72/34.91 inference(rewrite,[status(thm)],[])).
% 54.72/34.91 tff(27931,plain,
% 54.72/34.91 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB131, 0) | (~v90(constB131, 1)) | (~v90(constB131, 2)) | v125(constB131))),
% 54.72/34.91 inference(quant_inst,[status(thm)],[])).
% 54.72/34.91 tff(27932,plain,
% 54.72/34.91 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB131, 0) | (~v90(constB131, 1)) | (~v90(constB131, 2)) | v125(constB131)),
% 54.72/34.91 inference(modus_ponens,[status(thm)],[27931, 27930])).
% 54.72/34.91 tff(27933,plain,
% 54.72/34.91 (v90(constB131, 0) | (~v90(constB131, 1)) | (~v90(constB131, 2))),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27932, 2279, 27929])).
% 54.72/34.91 tff(27934,plain,
% 54.72/34.91 (~v90(constB131, 1)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27933, 27928, 27927])).
% 54.72/34.91 tff(27935,assumption,(~v123(constB131)), introduced(assumption)).
% 54.72/34.91 tff(27936,plain,
% 54.72/34.91 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB131, 0) | v90(constB131, 1) | (~v90(constB131, 2)) | v123(constB131))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB131, 0) | v90(constB131, 1) | (~v90(constB131, 2)) | v123(constB131))),
% 54.72/34.91 inference(rewrite,[status(thm)],[])).
% 54.72/34.91 tff(27937,plain,
% 54.72/34.91 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB131, 0) | v90(constB131, 1) | (~v90(constB131, 2)) | v123(constB131))),
% 54.72/34.91 inference(quant_inst,[status(thm)],[])).
% 54.72/34.91 tff(27938,plain,
% 54.72/34.91 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB131, 0) | v90(constB131, 1) | (~v90(constB131, 2)) | v123(constB131)),
% 54.72/34.91 inference(modus_ponens,[status(thm)],[27937, 27936])).
% 54.72/34.91 tff(27939,plain,
% 54.72/34.91 (v90(constB131, 0) | v90(constB131, 1) | (~v90(constB131, 2))),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27938, 2308, 27935])).
% 54.72/34.91 tff(27940,plain,
% 54.72/34.91 ($false),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27939, 27934, 27928, 27927])).
% 54.72/34.91 tff(27941,plain,(v90(constB131, 0) | (~v90(constB131, 2)) | v123(constB131) | v125(constB131)), inference(lemma,lemma(discharge,[]))).
% 54.72/34.91 tff(27942,plain,
% 54.72/34.91 (v90(constB131, 0)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27941, 27926, 27853, 27841])).
% 54.72/34.91 tff(27943,plain,
% 54.72/34.91 (v90(constB132, 0)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27860, 27942, 27226])).
% 54.72/34.91 tff(27944,plain,
% 54.72/34.91 (v90(constB130, 2)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27124, 27926])).
% 54.72/34.91 tff(27945,plain,
% 54.72/34.91 (~v124(constB131)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[22116, 2674, 27842])).
% 54.72/34.91 tff(27946,plain,
% 54.72/34.91 ((~v90(constB131, 0)) | v90(constB131, 1) | (~v90(constB131, 2))),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[22109, 2663, 27945])).
% 54.72/34.91 tff(27947,plain,
% 54.72/34.91 (v90(constB131, 1)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27946, 27942, 27926])).
% 54.72/34.91 tff(27948,plain,
% 54.72/34.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB131, 1)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB131, 1)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, 1))),
% 54.72/34.91 inference(rewrite,[status(thm)],[])).
% 54.72/34.91 tff(27949,plain,
% 54.72/34.91 (((~nextState(constB131, constB132)) | (~v90(constB131, 1)) | v100(constB132) | v90(constB132, 1)) <=> ((~v90(constB131, 1)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, 1))),
% 54.72/34.91 inference(rewrite,[status(thm)],[])).
% 54.72/34.91 tff(27950,plain,
% 54.72/34.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB131, constB132)) | (~v90(constB131, 1)) | v100(constB132) | v90(constB132, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB131, 1)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, 1)))),
% 54.72/34.91 inference(monotonicity,[status(thm)],[27949])).
% 54.72/34.91 tff(27951,plain,
% 54.72/34.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB131, constB132)) | (~v90(constB131, 1)) | v100(constB132) | v90(constB132, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB131, 1)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, 1))),
% 54.72/34.91 inference(transitivity,[status(thm)],[27950, 27948])).
% 54.72/34.91 tff(27952,plain,
% 54.72/34.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB131, constB132)) | (~v90(constB131, 1)) | v100(constB132) | v90(constB132, 1))),
% 54.72/34.91 inference(quant_inst,[status(thm)],[])).
% 54.72/34.91 tff(27953,plain,
% 54.72/34.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB131, 1)) | (~nextState(constB131, constB132)) | v100(constB132) | v90(constB132, 1)),
% 54.72/34.91 inference(modus_ponens,[status(thm)],[27952, 27951])).
% 54.72/34.91 tff(27954,plain,
% 54.72/34.91 ((~v90(constB131, 1)) | v100(constB132) | v90(constB132, 1)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27953, 1641, 22143])).
% 54.72/34.91 tff(27955,plain,
% 54.72/34.91 (v90(constB132, 1)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27954, 27947, 27226])).
% 54.72/34.91 tff(27956,plain,
% 54.72/34.91 (v121(constB129)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27390, 27955, 27226, 26097, 27944, 27943])).
% 54.72/34.91 tff(27957,plain,
% 54.72/34.91 (v90(constB130, 0)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27242, 27942])).
% 54.72/34.91 tff(27958,plain,
% 54.72/34.91 (v100(constB130)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27326, 27957, 26097, 27944])).
% 54.72/34.91 tff(27959,plain,
% 54.72/34.91 (v129(constB130, 2) | (~v100(constB130))),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27173, 1223, 27944])).
% 54.72/34.91 tff(27960,plain,
% 54.72/34.91 (v129(constB130, 2)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27959, 27958])).
% 54.72/34.91 tff(27961,plain,
% 54.72/34.91 (v127(constB129, 2)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27169, 27960])).
% 54.72/34.91 tff(27962,plain,
% 54.72/34.91 (v130(constB129, 2)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27164, 27961])).
% 54.72/34.91 tff(27963,plain,
% 54.72/34.91 ($false),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27156, 1821, 27962, 27956])).
% 54.72/34.91 tff(27964,plain,(v100(constB132) | v90(constB127, 2) | v119(constB133)), inference(lemma,lemma(discharge,[]))).
% 54.72/34.91 tff(27965,plain,
% 54.72/34.91 (v100(constB132)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27964, 27830, 26097])).
% 54.72/34.91 tff(27966,plain,
% 54.72/34.91 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB135)) | (~v130(constB135, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB135)) | (~v130(constB135, 1)))),
% 54.72/34.91 inference(rewrite,[status(thm)],[])).
% 54.72/34.91 tff(27967,plain,
% 54.72/34.91 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB135)) | (~v130(constB135, 1)))),
% 54.72/34.91 inference(quant_inst,[status(thm)],[])).
% 54.72/34.91 tff(27968,plain,
% 54.72/34.91 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB135)) | (~v130(constB135, 1))),
% 54.72/34.91 inference(modus_ponens,[status(thm)],[27967, 27966])).
% 54.72/34.91 tff(27969,plain,
% 54.72/34.91 (~v130(constB135, 1)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27968, 2581, 22695])).
% 54.72/34.91 tff(27970,plain,
% 54.72/34.91 (~v127(constB135, 1)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27810, 27969])).
% 54.72/34.91 tff(27971,plain,
% 54.72/34.91 (~v129(constB136, 1)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27815, 27970])).
% 54.72/34.91 tff(27972,plain,
% 54.72/34.91 (~v90(constB136, 1)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27823, 27971])).
% 54.72/34.91 tff(27973,plain,
% 54.72/34.91 (~v90(constB137, 1)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27021, 27972])).
% 54.72/34.91 tff(27974,plain,
% 54.72/34.91 (v100(constB138)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27012, 27973, 26903])).
% 54.72/34.91 tff(27975,plain,
% 54.72/34.91 (v130(constB135, 2)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[23716, 2525, 22695])).
% 54.72/34.91 tff(27976,plain,
% 54.72/34.91 (v127(constB135, 2)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[23708, 27975])).
% 54.72/34.91 tff(27977,plain,
% 54.72/34.91 (v129(constB136, 2)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[23703, 27976])).
% 54.72/34.91 tff(27978,plain,
% 54.72/34.91 (v90(constB136, 2) | (~v129(constB136, 2))),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[23697, 2324, 27786])).
% 54.72/34.91 tff(27979,plain,
% 54.72/34.91 (v90(constB136, 2)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27978, 27977])).
% 54.72/34.91 tff(27980,plain,
% 54.72/34.91 (v90(constB137, 2)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[23742, 27979])).
% 54.72/34.91 tff(27981,plain,
% 54.72/34.91 (v90(constB136, 0)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[22728, 22695])).
% 54.72/34.91 tff(27982,plain,
% 54.72/34.91 (v90(constB137, 0)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[23423, 27981])).
% 54.72/34.91 tff(27983,plain,
% 54.72/34.91 (v90(constB137, 1) | (~v90(constB137, 2)) | v124(constB137)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27619, 2663, 27982])).
% 54.72/34.91 tff(27984,plain,
% 54.72/34.91 (v124(constB137)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27983, 27980, 27973])).
% 54.72/34.91 tff(27985,plain,
% 54.72/34.91 ($false),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27577, 27984, 27974, 26418, 26481])).
% 54.72/34.91 tff(27986,plain,((~v123(constB135)) | (~v90(constB142, 1)) | (~v90(constB142, 0)) | (~v90(constB138, 1)) | (~v100(constB136))), inference(lemma,lemma(discharge,[]))).
% 54.72/34.91 tff(27987,plain,
% 54.72/34.91 (~v123(constB135)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27986, 26459, 26418, 26900, 27641])).
% 54.72/34.91 tff(27988,plain,
% 54.72/34.91 (~v122(constB133)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[22903, 27987])).
% 54.72/34.91 tff(27989,assumption,(v90(constB138, 0)), introduced(assumption)).
% 54.72/34.91 tff(27990,assumption,(v119(constB131)), introduced(assumption)).
% 54.72/34.91 tff(27991,plain,
% 54.72/34.91 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB131)) | (~v130(constB131, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB131)) | (~v130(constB131, 2)))),
% 54.72/34.91 inference(rewrite,[status(thm)],[])).
% 54.72/34.91 tff(27992,plain,
% 54.72/34.91 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB131)) | (~v130(constB131, 2)))),
% 54.72/34.91 inference(quant_inst,[status(thm)],[])).
% 54.72/34.91 tff(27993,plain,
% 54.72/34.91 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB131)) | (~v130(constB131, 2))),
% 54.72/34.91 inference(modus_ponens,[status(thm)],[27992, 27991])).
% 54.72/34.91 tff(27994,plain,
% 54.72/34.91 (~v130(constB131, 2)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[27993, 1176, 27990])).
% 54.72/34.91 tff(27995,plain,
% 54.72/34.91 (~v127(constB131, 2)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[23274, 27994])).
% 54.72/34.91 tff(27996,plain,
% 54.72/34.91 (~v129(constB132, 2)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[23266, 27995])).
% 54.72/34.91 tff(27997,plain,
% 54.72/34.91 (~v90(constB132, 2)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[23261, 27996])).
% 54.72/34.91 tff(27998,plain,
% 54.72/34.91 (~v90(constB133, 2)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[23115, 27997])).
% 54.72/34.91 tff(27999,plain,
% 54.72/34.91 (~v130(constB131, 1)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[23288, 1262, 27990])).
% 54.72/34.91 tff(28000,plain,
% 54.72/34.91 (~v127(constB131, 1)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[23284, 27999])).
% 54.72/34.91 tff(28001,plain,
% 54.72/34.91 (~v129(constB132, 1)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[23135, 28000])).
% 54.72/34.91 tff(28002,plain,
% 54.72/34.91 (~v90(constB132, 1)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[23281, 28001])).
% 54.72/34.91 tff(28003,plain,
% 54.72/34.91 (~v90(constB133, 1)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[23023, 28002])).
% 54.72/34.91 tff(28004,plain,
% 54.72/34.91 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB131)) | v130(constB131, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB131)) | v130(constB131, 0))),
% 54.72/34.91 inference(rewrite,[status(thm)],[])).
% 54.72/34.91 tff(28005,plain,
% 54.72/34.91 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB131)) | v130(constB131, 0))),
% 54.72/34.91 inference(quant_inst,[status(thm)],[])).
% 54.72/34.91 tff(28006,plain,
% 54.72/34.91 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB131)) | v130(constB131, 0)),
% 54.72/34.91 inference(modus_ponens,[status(thm)],[28005, 28004])).
% 54.72/34.91 tff(28007,plain,
% 54.72/34.91 (v130(constB131, 0)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[28006, 1333, 27990])).
% 54.72/34.91 tff(28008,plain,
% 54.72/34.91 (v127(constB131, 0)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[22363, 28007])).
% 54.72/34.91 tff(28009,plain,
% 54.72/34.91 (v129(constB132, 0)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[22358, 28008])).
% 54.72/34.91 tff(28010,plain,
% 54.72/34.91 (v90(constB132, 0)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[22353, 28009])).
% 54.72/34.91 tff(28011,plain,
% 54.72/34.91 (v90(constB133, 0)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[23002, 28010])).
% 54.72/34.91 tff(28012,plain,
% 54.72/34.91 (v120(constB133)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[23090, 1414, 28011, 28003, 27998])).
% 54.72/34.91 tff(28013,plain,
% 54.72/34.91 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB133)) | (~v130(constB133, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB133)) | (~v130(constB133, 2)))),
% 54.72/34.91 inference(rewrite,[status(thm)],[])).
% 54.72/34.91 tff(28014,plain,
% 54.72/34.91 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB133)) | (~v130(constB133, 2)))),
% 54.72/34.91 inference(quant_inst,[status(thm)],[])).
% 54.72/34.91 tff(28015,plain,
% 54.72/34.91 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB133)) | (~v130(constB133, 2))),
% 54.72/34.91 inference(modus_ponens,[status(thm)],[28014, 28013])).
% 54.72/34.91 tff(28016,plain,
% 54.72/34.91 (~v130(constB133, 2)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[28015, 1523, 28012])).
% 54.72/34.91 tff(28017,plain,
% 54.72/34.91 (~v127(constB133, 2)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[22403, 28016])).
% 54.72/34.91 tff(28018,plain,
% 54.72/34.91 (~v129(constB134, 2)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[22411, 28017])).
% 54.72/34.91 tff(28019,plain,
% 54.72/34.91 (v113(constB133)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[23156, 27999, 23038])).
% 54.72/34.91 tff(28020,plain,
% 54.72/34.91 (v108(constB133)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[22449, 28019])).
% 54.72/34.91 tff(28021,plain,
% 54.72/34.91 (v110(constB134)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[22457, 28020])).
% 54.72/34.91 tff(28022,plain,
% 54.72/34.91 (v100(constB134)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[22480, 28021])).
% 54.72/34.91 tff(28023,plain,
% 54.72/34.91 ((~v90(constB134, 2)) | v129(constB134, 2)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[22484, 1223, 28022])).
% 54.72/34.91 tff(28024,plain,
% 54.72/34.91 (~v90(constB134, 2)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[28023, 28018])).
% 54.72/34.91 tff(28025,plain,
% 54.72/34.91 (~v90(constB135, 2)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[22511, 28024])).
% 54.72/34.91 tff(28026,plain,
% 54.72/34.91 (v130(constB133, 1)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[23204, 1579, 28012])).
% 54.72/34.91 tff(28027,plain,
% 54.72/34.91 (v127(constB133, 1)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[22955, 28026])).
% 54.72/34.91 tff(28028,plain,
% 54.72/34.91 (v129(constB134, 1)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[22960, 28027])).
% 54.72/34.91 tff(28029,plain,
% 54.72/34.91 (v90(constB134, 1) | (~v129(constB134, 1))),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[22967, 1623, 28022])).
% 54.72/34.91 tff(28030,plain,
% 54.72/34.91 (v90(constB134, 1)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[28029, 28028])).
% 54.72/34.91 tff(28031,plain,
% 54.72/34.91 (v90(constB135, 1)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[22977, 28030])).
% 54.72/34.91 tff(28032,plain,
% 54.72/34.91 (~v130(constB133, 0)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[23249, 1657, 28012])).
% 54.72/34.91 tff(28033,plain,
% 54.72/34.91 (~v127(constB133, 0)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[22869, 28032])).
% 54.72/34.91 tff(28034,plain,
% 54.72/34.91 (~v129(constB134, 0)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[22874, 28033])).
% 54.72/34.91 tff(28035,plain,
% 54.72/34.91 ((~v90(constB134, 0)) | v129(constB134, 0)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[22881, 1704, 28022])).
% 54.72/34.91 tff(28036,plain,
% 54.72/34.91 (~v90(constB134, 0)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[28035, 28034])).
% 54.72/34.91 tff(28037,plain,
% 54.72/34.91 (~v90(constB135, 0)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[22891, 28036])).
% 54.72/34.91 tff(28038,plain,
% 54.72/34.91 (v121(constB135)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[22779, 1731, 28037, 28031, 28025])).
% 54.72/34.91 tff(28039,plain,
% 54.72/34.91 (v130(constB135, 1)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[23690, 1877, 28038])).
% 54.72/34.91 tff(28040,plain,
% 54.72/34.91 (v127(constB135, 1)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[23408, 28039])).
% 54.72/34.91 tff(28041,plain,
% 54.72/34.91 (v129(constB136, 1)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[23413, 28040])).
% 54.72/34.91 tff(28042,plain,
% 54.72/34.91 (v90(constB136, 1) | (~v129(constB136, 1))),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[23431, 1623, 27786])).
% 54.72/34.91 tff(28043,plain,
% 54.72/34.91 (v90(constB136, 1)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[28042, 28041])).
% 54.72/34.91 tff(28044,plain,
% 54.72/34.91 (v90(constB137, 1)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[23441, 28043])).
% 54.72/34.91 tff(28045,plain,
% 54.72/34.91 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB135)) | (~v130(constB135, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB135)) | (~v130(constB135, 2)))),
% 54.72/34.91 inference(rewrite,[status(thm)],[])).
% 54.72/34.91 tff(28046,plain,
% 54.72/34.91 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB135)) | (~v130(constB135, 2)))),
% 54.72/34.91 inference(quant_inst,[status(thm)],[])).
% 54.72/34.91 tff(28047,plain,
% 54.72/34.91 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB135)) | (~v130(constB135, 2))),
% 54.72/34.91 inference(modus_ponens,[status(thm)],[28046, 28045])).
% 54.72/34.91 tff(28048,plain,
% 54.72/34.91 (~v130(constB135, 2)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[28047, 1821, 28038])).
% 54.72/34.91 tff(28049,plain,
% 54.72/34.91 (~v127(constB135, 2)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[23453, 28048])).
% 54.72/34.91 tff(28050,plain,
% 54.72/34.91 (~v129(constB136, 2)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[23458, 28049])).
% 54.72/34.91 tff(28051,plain,
% 54.72/34.91 ((~v90(constB136, 2)) | v129(constB136, 2)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[23462, 1223, 27786])).
% 54.72/34.91 tff(28052,plain,
% 54.72/34.91 (~v90(constB136, 2)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[28051, 28050])).
% 54.72/34.91 tff(28053,plain,
% 54.72/34.91 (~v90(constB137, 2)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[23472, 28052])).
% 54.72/34.91 tff(28054,plain,
% 54.72/34.91 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB135)) | (~v90(constB135, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB135)) | (~v90(constB135, 1)))),
% 54.72/34.91 inference(rewrite,[status(thm)],[])).
% 54.72/34.91 tff(28055,plain,
% 54.72/34.91 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB135)) | (~v90(constB135, 1)))),
% 54.72/34.91 inference(quant_inst,[status(thm)],[])).
% 54.72/34.91 tff(28056,plain,
% 54.72/34.91 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB135)) | (~v90(constB135, 1))),
% 54.72/34.91 inference(modus_ponens,[status(thm)],[28055, 28054])).
% 54.72/34.91 tff(28057,plain,
% 54.72/34.91 (~v120(constB135)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[28056, 2846, 28031])).
% 54.72/34.91 tff(28058,plain,
% 54.72/34.91 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB135)) | (~v90(constB135, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB135)) | (~v90(constB135, 1)))),
% 54.72/34.91 inference(rewrite,[status(thm)],[])).
% 54.72/34.91 tff(28059,plain,
% 54.72/34.91 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB135)) | (~v90(constB135, 1)))),
% 54.72/34.91 inference(quant_inst,[status(thm)],[])).
% 54.72/34.91 tff(28060,plain,
% 54.72/34.91 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB135)) | (~v90(constB135, 1))),
% 54.72/34.91 inference(modus_ponens,[status(thm)],[28059, 28058])).
% 54.72/34.91 tff(28061,plain,
% 54.72/34.91 (~v123(constB135)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[28060, 2879, 28031])).
% 54.72/34.91 tff(28062,plain,
% 54.72/34.91 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB135)) | v130(constB135, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB135)) | v130(constB135, 0))),
% 54.72/34.91 inference(rewrite,[status(thm)],[])).
% 54.72/34.91 tff(28063,plain,
% 54.72/34.91 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB135)) | v130(constB135, 0))),
% 54.72/34.91 inference(quant_inst,[status(thm)],[])).
% 54.72/34.91 tff(28064,plain,
% 54.72/34.91 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB135)) | v130(constB135, 0)),
% 54.72/34.91 inference(modus_ponens,[status(thm)],[28063, 28062])).
% 54.72/34.91 tff(28065,plain,
% 54.72/34.91 (~v121(constB135)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[28064, 1915, 23344])).
% 54.72/34.91 tff(28066,plain,
% 54.72/34.91 (~v119(constB135)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[23731, 1333, 23344])).
% 54.72/34.91 tff(28067,plain,
% 54.72/34.91 (v90(constB135, 1)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[22766, 22751, 28066, 22752])).
% 54.72/34.91 tff(28068,plain,
% 54.72/34.91 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB135)) | (~v90(constB135, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB135)) | (~v90(constB135, 1)))),
% 54.72/34.91 inference(rewrite,[status(thm)],[])).
% 54.72/34.91 tff(28069,plain,
% 54.72/34.91 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB135)) | (~v90(constB135, 1)))),
% 54.72/34.91 inference(quant_inst,[status(thm)],[])).
% 54.72/34.91 tff(28070,plain,
% 54.72/34.91 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB135)) | (~v90(constB135, 1))),
% 54.72/34.91 inference(modus_ponens,[status(thm)],[28069, 28068])).
% 54.72/34.91 tff(28071,plain,
% 54.72/34.91 (~v124(constB135)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[28070, 2890, 28067])).
% 54.72/34.91 tff(28072,plain,
% 54.72/34.91 (v90(constB135, 0) | (~v90(constB135, 1)) | v90(constB135, 2)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[22779, 1731, 28065])).
% 54.72/34.91 tff(28073,plain,
% 54.72/34.91 (v90(constB135, 2)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[28072, 28067, 22751])).
% 54.72/34.91 tff(28074,plain,
% 54.72/34.91 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB135)) | (~v90(constB135, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB135)) | (~v90(constB135, 2)))),
% 54.72/34.91 inference(rewrite,[status(thm)],[])).
% 54.72/34.91 tff(28075,plain,
% 54.72/34.91 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB135)) | (~v90(constB135, 2)))),
% 54.72/34.91 inference(quant_inst,[status(thm)],[])).
% 54.72/34.91 tff(28076,plain,
% 54.72/34.91 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB135)) | (~v90(constB135, 2))),
% 54.72/34.91 inference(modus_ponens,[status(thm)],[28075, 28074])).
% 54.72/34.91 tff(28077,plain,
% 54.72/34.91 (~v122(constB135)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[28076, 2797, 28073])).
% 54.72/34.91 tff(28078,plain,
% 54.72/34.91 (v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v124(constB135) | v130(constB135, 0)),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[23727, 3413, 22752])).
% 54.72/34.91 tff(28079,plain,
% 54.72/34.91 ($false),
% 54.72/34.91 inference(unit_resolution,[status(thm)],[28078, 28077, 28071, 23344, 28066, 22578, 28065])).
% 54.72/34.91 tff(28080,plain,(v90(constB135, 0) | v130(constB135, 0) | v120(constB135) | v123(constB135)), inference(lemma,lemma(discharge,[]))).
% 54.72/34.92 tff(28081,plain,
% 54.72/34.92 (v130(constB135, 0)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28080, 28061, 28037, 28057])).
% 54.72/34.92 tff(28082,plain,
% 54.72/34.92 (v127(constB135, 0)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22708, 28081])).
% 54.72/34.92 tff(28083,plain,
% 54.72/34.92 (v129(constB136, 0)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22713, 28082])).
% 54.72/34.92 tff(28084,plain,
% 54.72/34.92 (v90(constB136, 0) | (~v129(constB136, 0))),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22720, 1377, 27786])).
% 54.72/34.92 tff(28085,plain,
% 54.72/34.92 (v90(constB136, 0)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28084, 28083])).
% 54.72/34.92 tff(28086,plain,
% 54.72/34.92 (v90(constB137, 0)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[23423, 28085])).
% 54.72/34.92 tff(28087,plain,
% 54.72/34.92 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB137, 0)) | (~v90(constB137, 1)) | v90(constB137, 2) | v122(constB137))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB137, 0)) | (~v90(constB137, 1)) | v90(constB137, 2) | v122(constB137))),
% 54.72/34.92 inference(rewrite,[status(thm)],[])).
% 54.72/34.92 tff(28088,plain,
% 54.72/34.92 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB137, 0)) | (~v90(constB137, 1)) | v90(constB137, 2) | v122(constB137))),
% 54.72/34.92 inference(quant_inst,[status(thm)],[])).
% 54.72/34.92 tff(28089,plain,
% 54.72/34.92 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB137, 0)) | (~v90(constB137, 1)) | v90(constB137, 2) | v122(constB137)),
% 54.72/34.92 inference(modus_ponens,[status(thm)],[28088, 28087])).
% 54.72/34.92 tff(28090,plain,
% 54.72/34.92 ((~v90(constB137, 1)) | v90(constB137, 2) | v122(constB137)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28089, 1956, 28086])).
% 54.72/34.92 tff(28091,plain,
% 54.72/34.92 (v122(constB137)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28090, 28053, 28044])).
% 54.72/34.92 tff(28092,plain,
% 54.72/34.92 (v100(constB138)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[27038, 28053, 26902])).
% 54.72/34.92 tff(28093,plain,
% 54.72/34.92 (v129(constB138, 0) | (~v100(constB138))),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[27446, 1704, 27989])).
% 54.72/34.92 tff(28094,plain,
% 54.72/34.92 (v129(constB138, 0)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28093, 28092])).
% 54.72/34.92 tff(28095,plain,
% 54.72/34.92 (v127(constB137, 0)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[27439, 28094])).
% 54.72/34.92 tff(28096,plain,
% 54.72/34.92 (v130(constB137, 0)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[27434, 28095])).
% 54.72/34.92 tff(28097,plain,
% 54.72/34.92 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB137)) | (~v130(constB137, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB137)) | (~v130(constB137, 0)))),
% 54.72/34.92 inference(rewrite,[status(thm)],[])).
% 54.72/34.92 tff(28098,plain,
% 54.72/34.92 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB137)) | (~v130(constB137, 0)))),
% 54.72/34.92 inference(quant_inst,[status(thm)],[])).
% 54.72/34.92 tff(28099,plain,
% 54.72/34.92 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB137)) | (~v130(constB137, 0))),
% 54.72/34.92 inference(modus_ponens,[status(thm)],[28098, 28097])).
% 54.72/34.92 tff(28100,plain,
% 54.72/34.92 ($false),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28099, 2407, 28096, 28091])).
% 54.72/34.92 tff(28101,plain,((~v119(constB131)) | (~v90(constB138, 0)) | (~v90(constB138, 2)) | (~v100(constB136)) | (~v100(constB132)) | v90(constB131, 2)), inference(lemma,lemma(discharge,[]))).
% 54.72/34.92 tff(28102,plain,
% 54.72/34.92 (~v119(constB131)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28101, 23038, 26902, 27786, 22346, 27989])).
% 54.72/34.92 tff(28103,plain,
% 54.72/34.92 (v90(constB132, 2)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[23115, 22336])).
% 54.72/34.92 tff(28104,plain,
% 54.72/34.92 (v129(constB132, 2)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[23261, 28103])).
% 54.72/34.92 tff(28105,plain,
% 54.72/34.92 (v127(constB131, 2)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[23266, 28104])).
% 54.72/34.92 tff(28106,plain,
% 54.72/34.92 (v130(constB131, 2)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[23274, 28105])).
% 54.72/34.92 tff(28107,plain,
% 54.72/34.92 (~v120(constB131)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[23300, 1523, 28106])).
% 54.72/34.92 tff(28108,plain,
% 54.72/34.92 (v90(constB132, 1)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[23187, 22319, 23038, 22991, 22309, 22346])).
% 54.72/34.92 tff(28109,plain,
% 54.72/34.92 (v129(constB132, 1)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[23281, 28108])).
% 54.72/34.92 tff(28110,plain,
% 54.72/34.92 (v127(constB131, 1)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[23135, 28109])).
% 54.72/34.92 tff(28111,plain,
% 54.72/34.92 (v130(constB131, 1)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[23284, 28110])).
% 54.72/34.92 tff(28112,plain,
% 54.72/34.92 (~v122(constB131)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[23296, 2366, 28111])).
% 54.72/34.92 tff(28113,plain,
% 54.72/34.92 (~v121(constB131)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[23278, 1821, 28106])).
% 54.72/34.92 tff(28114,plain,
% 54.72/34.92 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | ((~v124(constB131)) | v90(constB131, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | (~v124(constB131)) | v90(constB131, 2))),
% 54.72/34.92 inference(rewrite,[status(thm)],[])).
% 54.72/34.92 tff(28115,plain,
% 54.72/34.92 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | ((~v124(constB131)) | v90(constB131, 2))),
% 54.72/34.92 inference(quant_inst,[status(thm)],[])).
% 54.72/34.92 tff(28116,plain,
% 54.72/34.92 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | (~v124(constB131)) | v90(constB131, 2)),
% 54.72/34.92 inference(modus_ponens,[status(thm)],[28115, 28114])).
% 54.72/34.92 tff(28117,plain,
% 54.72/34.92 (~v124(constB131)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28116, 3774, 23038])).
% 54.72/34.92 tff(28118,plain,
% 54.72/34.92 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | ((~v123(constB131)) | v90(constB131, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | (~v123(constB131)) | v90(constB131, 2))),
% 54.72/34.92 inference(rewrite,[status(thm)],[])).
% 54.72/34.92 tff(28119,plain,
% 54.72/34.92 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | ((~v123(constB131)) | v90(constB131, 2))),
% 54.72/34.92 inference(quant_inst,[status(thm)],[])).
% 54.72/34.92 tff(28120,plain,
% 54.72/34.92 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | (~v123(constB131)) | v90(constB131, 2)),
% 54.72/34.92 inference(modus_ponens,[status(thm)],[28119, 28118])).
% 54.72/34.92 tff(28121,plain,
% 54.72/34.92 (~v123(constB131)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28120, 3763, 23038])).
% 54.72/34.92 tff(28122,plain,
% 54.72/34.92 (v120(constB131) | v121(constB131) | v122(constB131) | v130(constB131, 0)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22375, 3413, 28121, 22372, 28117])).
% 54.72/34.92 tff(28123,plain,
% 54.72/34.92 ($false),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28122, 28113, 28112, 22364, 28107])).
% 54.72/34.92 tff(28124,plain,(v90(constB132, 0) | v119(constB131) | (~v100(constB132)) | v119(constB133) | v121(constB133) | v90(constB131, 2) | v124(constB135)), inference(lemma,lemma(discharge,[]))).
% 54.72/34.92 tff(28125,plain,
% 54.72/34.92 (v90(constB132, 0)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28124, 28102, 22346, 22309, 22308, 23038, 22991])).
% 54.72/34.92 tff(28126,plain,
% 54.72/34.92 (v90(constB133, 0)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[23002, 28125])).
% 54.72/34.92 tff(28127,plain,
% 54.72/34.92 (v129(constB132, 0)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[23308, 28125])).
% 54.72/34.92 tff(28128,plain,
% 54.72/34.92 (v127(constB131, 0)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22286, 28127])).
% 54.72/34.92 tff(28129,plain,
% 54.72/34.92 (v130(constB131, 0)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22281, 28128])).
% 54.72/34.92 tff(28130,plain,
% 54.72/34.92 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB131)) | (~v130(constB131, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB131)) | (~v130(constB131, 0)))),
% 54.72/34.92 inference(rewrite,[status(thm)],[])).
% 54.72/34.92 tff(28131,plain,
% 54.72/34.92 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB131)) | (~v130(constB131, 0)))),
% 54.72/34.92 inference(quant_inst,[status(thm)],[])).
% 54.72/34.92 tff(28132,plain,
% 54.72/34.92 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB131)) | (~v130(constB131, 0))),
% 54.72/34.92 inference(modus_ponens,[status(thm)],[28131, 28130])).
% 54.72/34.92 tff(28133,plain,
% 54.72/34.92 (~v120(constB131)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28132, 1657, 28129])).
% 54.72/34.92 tff(28134,plain,
% 54.72/34.92 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))) | (v119(constB131) | v120(constB131) | (~v118(constB131)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))) | v119(constB131) | v120(constB131) | (~v118(constB131)))),
% 54.72/34.92 inference(rewrite,[status(thm)],[])).
% 54.72/34.92 tff(28135,plain,
% 54.72/34.92 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))) | (v119(constB131) | v120(constB131) | (~v118(constB131)))),
% 54.72/34.92 inference(quant_inst,[status(thm)],[])).
% 54.72/34.92 tff(28136,plain,
% 54.72/34.92 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))) | v119(constB131) | v120(constB131) | (~v118(constB131))),
% 54.72/34.92 inference(modus_ponens,[status(thm)],[28135, 28134])).
% 54.72/34.92 tff(28137,plain,
% 54.72/34.92 (~v118(constB131)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28136, 6812, 28102, 28133])).
% 54.72/34.92 tff(28138,plain,
% 54.72/34.92 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, 2))) | ((~v125(constB131)) | v90(constB131, 2))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, 2))) | (~v125(constB131)) | v90(constB131, 2))),
% 54.72/34.92 inference(rewrite,[status(thm)],[])).
% 54.72/34.92 tff(28139,plain,
% 54.72/34.92 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, 2))) | ((~v125(constB131)) | v90(constB131, 2))),
% 54.72/34.92 inference(quant_inst,[status(thm)],[])).
% 54.72/34.92 tff(28140,plain,
% 54.72/34.92 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, 2))) | (~v125(constB131)) | v90(constB131, 2)),
% 54.72/34.92 inference(modus_ponens,[status(thm)],[28139, 28138])).
% 54.72/34.92 tff(28141,plain,
% 54.72/34.92 (~v125(constB131)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28140, 6720, 23038])).
% 54.72/34.92 tff(28142,plain,
% 54.72/34.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB131, constB132)) | v110(constB132) | (~v100(constB132)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB131, constB132)) | v110(constB132) | (~v100(constB132)))),
% 54.72/34.92 inference(rewrite,[status(thm)],[])).
% 54.72/34.92 tff(28143,plain,
% 54.72/34.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB131, constB132)) | v110(constB132) | (~v100(constB132)))),
% 54.72/34.92 inference(quant_inst,[status(thm)],[])).
% 54.72/34.92 tff(28144,plain,
% 54.72/34.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB131, constB132)) | v110(constB132) | (~v100(constB132))),
% 54.72/34.92 inference(modus_ponens,[status(thm)],[28143, 28142])).
% 54.72/34.92 tff(28145,plain,
% 54.72/34.92 (v110(constB132) | (~v100(constB132))),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28144, 4764, 22143])).
% 54.72/34.92 tff(28146,plain,
% 54.72/34.92 (v110(constB132)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28145, 22346])).
% 54.72/34.92 tff(28147,plain,
% 54.72/34.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB131, constB132)) | (~v110(constB132)) | v108(constB131))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB131, constB132)) | (~v110(constB132)) | v108(constB131))),
% 54.72/34.92 inference(rewrite,[status(thm)],[])).
% 54.72/34.92 tff(28148,plain,
% 54.72/34.92 (((~nextState(constB131, constB132)) | v108(constB131) | (~v110(constB132))) <=> ((~nextState(constB131, constB132)) | (~v110(constB132)) | v108(constB131))),
% 54.72/34.92 inference(rewrite,[status(thm)],[])).
% 54.72/34.92 tff(28149,plain,
% 54.72/34.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB131, constB132)) | v108(constB131) | (~v110(constB132)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB131, constB132)) | (~v110(constB132)) | v108(constB131)))),
% 54.72/34.92 inference(monotonicity,[status(thm)],[28148])).
% 54.72/34.92 tff(28150,plain,
% 54.72/34.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB131, constB132)) | v108(constB131) | (~v110(constB132)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB131, constB132)) | (~v110(constB132)) | v108(constB131))),
% 54.72/34.92 inference(transitivity,[status(thm)],[28149, 28147])).
% 54.72/34.92 tff(28151,plain,
% 54.72/34.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB131, constB132)) | v108(constB131) | (~v110(constB132)))),
% 54.72/34.92 inference(quant_inst,[status(thm)],[])).
% 54.72/34.92 tff(28152,plain,
% 54.72/34.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB131, constB132)) | (~v110(constB132)) | v108(constB131)),
% 54.72/34.92 inference(modus_ponens,[status(thm)],[28151, 28150])).
% 54.72/34.92 tff(28153,plain,
% 54.72/34.92 ((~v110(constB132)) | v108(constB131)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28152, 6641, 22143])).
% 54.72/34.92 tff(28154,plain,
% 54.72/34.92 (v108(constB131)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28153, 28146])).
% 54.72/34.92 tff(28155,plain,
% 54.72/34.92 (((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | ((~v108(constB131)) | v26(constB131) | v112(constB131))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB131)) | v26(constB131) | v112(constB131))),
% 54.72/34.92 inference(rewrite,[status(thm)],[])).
% 54.72/34.92 tff(28156,plain,
% 54.72/34.92 ((v26(constB131) | v112(constB131) | (~v108(constB131))) <=> ((~v108(constB131)) | v26(constB131) | v112(constB131))),
% 54.72/34.92 inference(rewrite,[status(thm)],[])).
% 54.72/34.92 tff(28157,plain,
% 54.72/34.92 (((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB131) | v112(constB131) | (~v108(constB131)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | ((~v108(constB131)) | v26(constB131) | v112(constB131)))),
% 54.72/34.92 inference(monotonicity,[status(thm)],[28156])).
% 54.72/34.92 tff(28158,plain,
% 54.72/34.92 (((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB131) | v112(constB131) | (~v108(constB131)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB131)) | v26(constB131) | v112(constB131))),
% 54.72/34.92 inference(transitivity,[status(thm)],[28157, 28155])).
% 54.72/34.92 tff(28159,plain,
% 54.72/34.92 ((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (v26(constB131) | v112(constB131) | (~v108(constB131)))),
% 54.72/34.92 inference(quant_inst,[status(thm)],[])).
% 54.72/34.92 tff(28160,plain,
% 54.72/34.92 ((~![VarCurr: state_type] : (v26(VarCurr) | v112(VarCurr) | (~v108(VarCurr)))) | (~v108(constB131)) | v26(constB131) | v112(constB131)),
% 54.72/34.92 inference(modus_ponens,[status(thm)],[28159, 28158])).
% 54.72/34.92 tff(28161,plain,
% 54.72/34.92 ((~v108(constB131)) | v112(constB131)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28160, 6659, 22128])).
% 54.72/34.92 tff(28162,plain,
% 54.72/34.92 (v112(constB131)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28161, 28154])).
% 54.72/34.92 tff(28163,plain,
% 54.72/34.92 (((~![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))) | (v113(constB131) | (~v112(constB131)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))) | v113(constB131) | (~v112(constB131)))),
% 54.72/34.92 inference(rewrite,[status(thm)],[])).
% 54.72/34.92 tff(28164,plain,
% 54.72/34.92 ((~![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))) | (v113(constB131) | (~v112(constB131)))),
% 54.72/34.92 inference(quant_inst,[status(thm)],[])).
% 54.72/34.92 tff(28165,plain,
% 54.72/34.92 ((~![VarCurr: state_type] : (v113(VarCurr) | (~v112(VarCurr)))) | v113(constB131) | (~v112(constB131))),
% 54.72/34.92 inference(modus_ponens,[status(thm)],[28164, 28163])).
% 54.72/34.92 tff(28166,plain,
% 54.72/34.92 (v113(constB131)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28165, 6677, 28162])).
% 54.72/34.92 tff(28167,plain,
% 54.72/34.92 (((~![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | (v114(constB131) | v125(constB131) | (~v113(constB131)))) <=> ((~![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | v114(constB131) | v125(constB131) | (~v113(constB131)))),
% 54.72/34.92 inference(rewrite,[status(thm)],[])).
% 54.72/34.92 tff(28168,plain,
% 54.72/34.92 ((~![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | (v114(constB131) | v125(constB131) | (~v113(constB131)))),
% 54.72/34.92 inference(quant_inst,[status(thm)],[])).
% 54.72/34.92 tff(28169,plain,
% 54.72/34.92 ((~![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | v114(constB131) | v125(constB131) | (~v113(constB131))),
% 54.72/34.92 inference(modus_ponens,[status(thm)],[28168, 28167])).
% 54.72/34.92 tff(28170,plain,
% 54.72/34.92 (v114(constB131) | v125(constB131)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28169, 6735, 28166])).
% 54.72/34.92 tff(28171,plain,
% 54.72/34.92 (v114(constB131)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28170, 28141])).
% 54.72/34.92 tff(28172,plain,
% 54.72/34.92 (((~![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | (v115(constB131) | v124(constB131) | (~v114(constB131)))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | v115(constB131) | v124(constB131) | (~v114(constB131)))),
% 54.72/34.92 inference(rewrite,[status(thm)],[])).
% 54.72/34.92 tff(28173,plain,
% 54.72/34.92 ((~![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | (v115(constB131) | v124(constB131) | (~v114(constB131)))),
% 54.72/34.92 inference(quant_inst,[status(thm)],[])).
% 54.72/34.92 tff(28174,plain,
% 54.72/34.92 ((~![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | v115(constB131) | v124(constB131) | (~v114(constB131))),
% 54.72/34.92 inference(modus_ponens,[status(thm)],[28173, 28172])).
% 54.72/34.92 tff(28175,plain,
% 54.72/34.92 (v115(constB131)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28174, 6750, 28171, 28117])).
% 54.72/34.92 tff(28176,plain,
% 54.72/34.92 (((~![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | (v116(constB131) | v123(constB131) | (~v115(constB131)))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | v116(constB131) | v123(constB131) | (~v115(constB131)))),
% 54.72/34.92 inference(rewrite,[status(thm)],[])).
% 54.72/34.92 tff(28177,plain,
% 54.72/34.92 ((~![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | (v116(constB131) | v123(constB131) | (~v115(constB131)))),
% 54.72/34.92 inference(quant_inst,[status(thm)],[])).
% 54.72/34.92 tff(28178,plain,
% 54.72/34.92 ((~![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | v116(constB131) | v123(constB131) | (~v115(constB131))),
% 54.72/34.92 inference(modus_ponens,[status(thm)],[28177, 28176])).
% 54.72/34.92 tff(28179,plain,
% 54.72/34.92 (v116(constB131) | (~v115(constB131))),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28178, 6765, 28121])).
% 54.72/34.92 tff(28180,plain,
% 54.72/34.92 (v116(constB131)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28179, 28175])).
% 54.72/34.92 tff(28181,plain,
% 54.72/34.92 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB131)) | (~v130(constB131, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB131)) | (~v130(constB131, 0)))),
% 54.72/34.92 inference(rewrite,[status(thm)],[])).
% 54.72/34.92 tff(28182,plain,
% 54.72/34.92 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB131)) | (~v130(constB131, 0)))),
% 54.72/34.92 inference(quant_inst,[status(thm)],[])).
% 54.72/34.92 tff(28183,plain,
% 54.72/34.92 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB131)) | (~v130(constB131, 0))),
% 54.72/34.92 inference(modus_ponens,[status(thm)],[28182, 28181])).
% 54.72/34.92 tff(28184,plain,
% 54.72/34.92 (~v122(constB131)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28183, 2407, 28129])).
% 54.72/34.92 tff(28185,plain,
% 54.72/34.92 (((~![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | (v117(constB131) | v122(constB131) | (~v116(constB131)))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | v117(constB131) | v122(constB131) | (~v116(constB131)))),
% 54.72/34.92 inference(rewrite,[status(thm)],[])).
% 54.72/34.92 tff(28186,plain,
% 54.72/34.92 ((~![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | (v117(constB131) | v122(constB131) | (~v116(constB131)))),
% 54.72/34.92 inference(quant_inst,[status(thm)],[])).
% 54.72/34.92 tff(28187,plain,
% 54.72/34.92 ((~![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | v117(constB131) | v122(constB131) | (~v116(constB131))),
% 54.72/34.92 inference(modus_ponens,[status(thm)],[28186, 28185])).
% 54.72/34.92 tff(28188,plain,
% 54.72/34.92 (v117(constB131) | (~v116(constB131))),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28187, 6781, 28184])).
% 54.72/34.92 tff(28189,plain,
% 54.72/34.92 (v117(constB131)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28188, 28180])).
% 54.72/34.92 tff(28190,plain,
% 54.72/34.92 (((~![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | (v118(constB131) | v121(constB131) | (~v117(constB131)))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | v118(constB131) | v121(constB131) | (~v117(constB131)))),
% 54.72/34.92 inference(rewrite,[status(thm)],[])).
% 54.72/34.92 tff(28191,plain,
% 54.72/34.92 ((~![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | (v118(constB131) | v121(constB131) | (~v117(constB131)))),
% 54.72/34.92 inference(quant_inst,[status(thm)],[])).
% 54.72/34.92 tff(28192,plain,
% 54.72/34.92 ((~![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | v118(constB131) | v121(constB131) | (~v117(constB131))),
% 54.72/34.92 inference(modus_ponens,[status(thm)],[28191, 28190])).
% 54.72/34.92 tff(28193,plain,
% 54.72/34.92 (v121(constB131)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28192, 6797, 28189, 28137])).
% 54.72/34.92 tff(28194,plain,
% 54.72/34.92 (v130(constB131, 1)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[23010, 1877, 28193])).
% 54.72/34.92 tff(28195,plain,
% 54.72/34.92 (v127(constB131, 1)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22182, 28194])).
% 54.72/34.92 tff(28196,plain,
% 54.72/34.92 (v129(constB132, 1)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22187, 28195])).
% 54.72/34.92 tff(28197,plain,
% 54.72/34.92 (v90(constB132, 1)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22381, 28196])).
% 54.72/34.92 tff(28198,plain,
% 54.72/34.92 (v90(constB133, 1)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22222, 28197])).
% 54.72/34.92 tff(28199,plain,
% 54.72/34.92 (~v130(constB131, 2)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[23278, 1821, 28193])).
% 54.72/34.92 tff(28200,plain,
% 54.72/34.92 (~v127(constB131, 2)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[23274, 28199])).
% 54.72/34.92 tff(28201,plain,
% 54.72/34.92 (~v129(constB132, 2)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[23266, 28200])).
% 54.72/34.92 tff(28202,plain,
% 54.72/34.92 (~v90(constB132, 2)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[23261, 28201])).
% 54.72/34.92 tff(28203,plain,
% 54.72/34.92 (~v90(constB133, 2)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[23115, 28202])).
% 54.72/34.92 tff(28204,plain,
% 54.72/34.92 ($false),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[23085, 28203, 28198, 28126])).
% 54.72/34.92 tff(28205,plain,(v90(constB131, 2) | v122(constB133) | (~v100(constB132)) | v119(constB133) | v121(constB133) | v124(constB135) | (~v90(constB138, 2)) | (~v100(constB136)) | (~v90(constB138, 0))), inference(lemma,lemma(discharge,[]))).
% 54.72/34.92 tff(28206,plain,
% 54.72/34.92 (v90(constB131, 2)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28205, 27988, 27965, 27830, 27829, 27785, 26885, 27641, 26869])).
% 54.72/34.92 tff(28207,plain,
% 54.72/34.92 (~v120(constB131)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22302, 3825, 28206])).
% 54.72/34.92 tff(28208,plain,
% 54.72/34.92 (~v121(constB131)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[27406, 2857, 28206])).
% 54.72/34.92 tff(28209,plain,
% 54.72/34.92 (~v122(constB131)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22298, 2797, 28206])).
% 54.72/34.92 tff(28210,plain,
% 54.72/34.92 (~v119(constB131)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[23192, 3814, 28206])).
% 54.72/34.92 tff(28211,plain,
% 54.72/34.92 (v110(constB136)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[23318, 27641])).
% 54.72/34.92 tff(28212,plain,
% 54.72/34.92 (v108(constB135)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[23326, 28211])).
% 54.72/34.92 tff(28213,plain,
% 54.72/34.92 (v112(constB135)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[23334, 28212])).
% 54.72/34.92 tff(28214,plain,
% 54.72/34.92 (v113(constB135)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[23338, 6677, 28213])).
% 54.72/34.92 tff(28215,plain,
% 54.72/34.92 (~v130(constB135, 0)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22588, 1657, 23400])).
% 54.72/34.92 tff(28216,plain,
% 54.72/34.92 (~v90(constB136, 0)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[23371, 28215, 23341])).
% 54.72/34.92 tff(28217,plain,
% 54.72/34.92 (~v90(constB137, 0)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[23398, 28216])).
% 54.72/34.92 tff(28218,plain,
% 54.72/34.92 (v100(constB138)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[23773, 28217])).
% 54.72/34.92 tff(28219,plain,
% 54.72/34.92 (v121(constB137)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[23480, 28217, 23400])).
% 54.72/34.92 tff(28220,plain,
% 54.72/34.92 ($false),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[27781, 28219, 28218, 26418, 26481])).
% 54.72/34.92 tff(28221,plain,((~v120(constB135)) | (~v90(constB142, 1)) | (~v90(constB142, 0)) | (~v113(constB135))), inference(lemma,lemma(discharge,[]))).
% 54.72/34.92 tff(28222,plain,
% 54.72/34.92 (~v120(constB135)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28221, 26459, 26418, 28214])).
% 54.72/34.92 tff(28223,plain,
% 54.72/34.92 (v90(constB132, 0)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22584, 28222, 27829, 27988, 27830, 27965, 28210, 28209, 28208, 28207])).
% 54.72/34.92 tff(28224,plain,
% 54.72/34.92 ((~v90(constB132, 0)) | v129(constB132, 0)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22293, 1704, 27965])).
% 54.72/34.92 tff(28225,plain,
% 54.72/34.92 (v129(constB132, 0)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28224, 28223])).
% 54.72/34.92 tff(28226,plain,
% 54.72/34.92 (v127(constB131, 0)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22286, 28225])).
% 54.72/34.92 tff(28227,plain,
% 54.72/34.92 (v130(constB131, 0)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22281, 28226])).
% 54.72/34.92 tff(28228,plain,
% 54.72/34.92 (~v124(constB131)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22273, 3274, 28227])).
% 54.72/34.92 tff(28229,plain,
% 54.72/34.92 (v90(constB133, 0)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[23002, 28223])).
% 54.72/34.92 tff(28230,plain,
% 54.72/34.92 (~v123(constB133)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[23199, 5887, 23214])).
% 54.72/34.92 tff(28231,plain,
% 54.72/34.92 (~v122(constB133)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22903, 22752])).
% 54.72/34.92 tff(28232,plain,
% 54.72/34.92 (~v121(constB133)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22985, 22979])).
% 54.72/34.92 tff(28233,plain,
% 54.72/34.92 (v130(constB133, 1)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[23212, 22993, 28232, 28231, 28230, 22309])).
% 54.72/34.92 tff(28234,plain,
% 54.72/34.92 (v127(constB133, 1)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22955, 28233])).
% 54.72/34.92 tff(28235,plain,
% 54.72/34.92 (v129(constB134, 1)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22960, 28234])).
% 54.72/34.92 tff(28236,plain,
% 54.72/34.92 (v100(constB134)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[23236, 22993, 22991, 23214, 22578])).
% 54.72/34.92 tff(28237,plain,
% 54.72/34.92 (v90(constB134, 1) | (~v129(constB134, 1))),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22967, 1623, 28236])).
% 54.72/34.92 tff(28238,plain,
% 54.72/34.92 (v90(constB134, 1)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28237, 28235])).
% 54.72/34.92 tff(28239,plain,
% 54.72/34.92 (v90(constB135, 1)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22977, 28238])).
% 54.72/34.92 tff(28240,plain,
% 54.72/34.92 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB135)) | (~v90(constB135, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB135)) | (~v90(constB135, 1)))),
% 54.72/34.92 inference(rewrite,[status(thm)],[])).
% 54.72/34.92 tff(28241,plain,
% 54.72/34.92 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB135)) | (~v90(constB135, 1)))),
% 54.72/34.92 inference(quant_inst,[status(thm)],[])).
% 54.72/34.92 tff(28242,plain,
% 54.72/34.92 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB135)) | (~v90(constB135, 1))),
% 54.72/34.92 inference(modus_ponens,[status(thm)],[28241, 28240])).
% 54.72/34.92 tff(28243,plain,
% 54.72/34.92 (~v119(constB135)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28242, 2868, 28239])).
% 54.72/34.92 tff(28244,assumption,(v120(constB133)), introduced(assumption)).
% 54.72/34.92 tff(28245,plain,
% 54.72/34.92 (~v130(constB133, 2)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28015, 1523, 28244])).
% 54.72/34.92 tff(28246,plain,
% 54.72/34.92 (~v127(constB133, 2)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22403, 28245])).
% 54.72/34.92 tff(28247,plain,
% 54.72/34.92 (~v129(constB134, 2)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22411, 28246])).
% 54.72/34.92 tff(28248,plain,
% 54.72/34.92 ((~v90(constB134, 2)) | v129(constB134, 2)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22484, 1223, 27050])).
% 54.72/34.92 tff(28249,plain,
% 54.72/34.92 (~v90(constB134, 2)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28248, 28247])).
% 54.72/34.92 tff(28250,plain,
% 54.72/34.92 (~v90(constB135, 2)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22511, 28249])).
% 54.72/34.92 tff(28251,assumption,(~v90(constB135, 2)), introduced(assumption)).
% 54.72/34.92 tff(28252,plain,
% 54.72/34.92 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, 2))) | ((~v125(constB135)) | v90(constB135, 2))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, 2))) | (~v125(constB135)) | v90(constB135, 2))),
% 54.72/34.92 inference(rewrite,[status(thm)],[])).
% 54.72/34.92 tff(28253,plain,
% 54.72/34.92 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, 2))) | ((~v125(constB135)) | v90(constB135, 2))),
% 54.72/34.92 inference(quant_inst,[status(thm)],[])).
% 54.72/34.92 tff(28254,plain,
% 54.72/34.92 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v90(VarCurr, 2))) | (~v125(constB135)) | v90(constB135, 2)),
% 54.72/34.92 inference(modus_ponens,[status(thm)],[28253, 28252])).
% 54.72/34.92 tff(28255,plain,
% 54.72/34.92 (~v125(constB135)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28254, 6720, 28251])).
% 54.72/34.92 tff(28256,plain,
% 54.72/34.92 (((~![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | (v114(constB135) | v125(constB135) | (~v113(constB135)))) <=> ((~![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | v114(constB135) | v125(constB135) | (~v113(constB135)))),
% 54.72/34.92 inference(rewrite,[status(thm)],[])).
% 54.72/34.92 tff(28257,plain,
% 54.72/34.92 ((~![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | (v114(constB135) | v125(constB135) | (~v113(constB135)))),
% 54.72/34.92 inference(quant_inst,[status(thm)],[])).
% 54.72/34.92 tff(28258,plain,
% 54.72/34.92 ((~![VarCurr: state_type] : (v114(VarCurr) | v125(VarCurr) | (~v113(VarCurr)))) | v114(constB135) | v125(constB135) | (~v113(constB135))),
% 54.72/34.92 inference(modus_ponens,[status(thm)],[28257, 28256])).
% 54.72/34.92 tff(28259,plain,
% 54.72/34.92 (v114(constB135) | v125(constB135)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28258, 6735, 23341])).
% 54.72/34.92 tff(28260,plain,
% 54.72/34.92 (v114(constB135)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28259, 28255])).
% 54.72/34.92 tff(28261,plain,
% 54.72/34.92 (((~![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | (v115(constB135) | v124(constB135) | (~v114(constB135)))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | v115(constB135) | v124(constB135) | (~v114(constB135)))),
% 54.72/34.92 inference(rewrite,[status(thm)],[])).
% 54.72/34.92 tff(28262,plain,
% 54.72/34.92 ((~![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | (v115(constB135) | v124(constB135) | (~v114(constB135)))),
% 54.72/34.92 inference(quant_inst,[status(thm)],[])).
% 54.72/34.92 tff(28263,plain,
% 54.72/34.92 ((~![VarCurr: state_type] : (v115(VarCurr) | v124(VarCurr) | (~v114(VarCurr)))) | v115(constB135) | v124(constB135) | (~v114(constB135))),
% 54.72/34.92 inference(modus_ponens,[status(thm)],[28262, 28261])).
% 54.72/34.92 tff(28264,plain,
% 54.72/34.92 (v115(constB135) | (~v114(constB135))),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28263, 6750, 22991])).
% 54.72/34.92 tff(28265,plain,
% 54.72/34.92 (v115(constB135)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28264, 28260])).
% 54.72/34.92 tff(28266,plain,
% 54.72/34.92 (((~![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | (v116(constB135) | v123(constB135) | (~v115(constB135)))) <=> ((~![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | v116(constB135) | v123(constB135) | (~v115(constB135)))),
% 54.72/34.92 inference(rewrite,[status(thm)],[])).
% 54.72/34.92 tff(28267,plain,
% 54.72/34.92 ((~![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | (v116(constB135) | v123(constB135) | (~v115(constB135)))),
% 54.72/34.92 inference(quant_inst,[status(thm)],[])).
% 54.72/34.92 tff(28268,plain,
% 54.72/34.92 ((~![VarCurr: state_type] : (v116(VarCurr) | v123(VarCurr) | (~v115(VarCurr)))) | v116(constB135) | v123(constB135) | (~v115(constB135))),
% 54.72/34.92 inference(modus_ponens,[status(thm)],[28267, 28266])).
% 54.72/34.92 tff(28269,plain,
% 54.72/34.92 (v116(constB135) | (~v115(constB135))),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28268, 6765, 22752])).
% 54.72/34.92 tff(28270,plain,
% 54.72/34.92 (v116(constB135)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28269, 28265])).
% 54.72/34.92 tff(28271,plain,
% 54.72/34.92 (((~![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | (v117(constB135) | v122(constB135) | (~v116(constB135)))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | v117(constB135) | v122(constB135) | (~v116(constB135)))),
% 54.72/34.92 inference(rewrite,[status(thm)],[])).
% 54.72/34.92 tff(28272,plain,
% 54.72/34.92 ((~![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | (v117(constB135) | v122(constB135) | (~v116(constB135)))),
% 54.72/34.92 inference(quant_inst,[status(thm)],[])).
% 54.72/34.92 tff(28273,plain,
% 54.72/34.92 ((~![VarCurr: state_type] : (v117(VarCurr) | v122(VarCurr) | (~v116(VarCurr)))) | v117(constB135) | v122(constB135) | (~v116(constB135))),
% 54.72/34.92 inference(modus_ponens,[status(thm)],[28272, 28271])).
% 54.72/34.92 tff(28274,plain,
% 54.72/34.92 (v117(constB135) | (~v116(constB135))),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28273, 6781, 22979])).
% 54.72/34.92 tff(28275,plain,
% 54.72/34.92 (v117(constB135)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28274, 28270])).
% 54.72/34.92 tff(28276,assumption,(~v121(constB135)), introduced(assumption)).
% 54.72/34.92 tff(28277,plain,
% 54.72/34.92 (((~![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | (v118(constB135) | v121(constB135) | (~v117(constB135)))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | v118(constB135) | v121(constB135) | (~v117(constB135)))),
% 54.72/34.92 inference(rewrite,[status(thm)],[])).
% 54.72/34.92 tff(28278,plain,
% 54.72/34.92 ((~![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | (v118(constB135) | v121(constB135) | (~v117(constB135)))),
% 54.72/34.92 inference(quant_inst,[status(thm)],[])).
% 54.72/34.92 tff(28279,plain,
% 54.72/34.92 ((~![VarCurr: state_type] : (v118(VarCurr) | v121(VarCurr) | (~v117(VarCurr)))) | v118(constB135) | v121(constB135) | (~v117(constB135))),
% 54.72/34.92 inference(modus_ponens,[status(thm)],[28278, 28277])).
% 54.72/34.92 tff(28280,plain,
% 54.72/34.92 (v118(constB135) | (~v117(constB135))),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28279, 6797, 28276])).
% 54.72/34.92 tff(28281,plain,
% 54.72/34.92 (v118(constB135)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28280, 28275])).
% 54.72/34.92 tff(28282,plain,
% 54.72/34.92 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))) | (v119(constB135) | v120(constB135) | (~v118(constB135)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))) | v119(constB135) | v120(constB135) | (~v118(constB135)))),
% 54.72/34.92 inference(rewrite,[status(thm)],[])).
% 54.72/34.92 tff(28283,plain,
% 54.72/34.92 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))) | (v119(constB135) | v120(constB135) | (~v118(constB135)))),
% 54.72/34.92 inference(quant_inst,[status(thm)],[])).
% 54.72/34.92 tff(28284,plain,
% 54.72/34.92 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | (~v118(VarCurr)))) | v119(constB135) | v120(constB135) | (~v118(constB135))),
% 54.72/34.92 inference(modus_ponens,[status(thm)],[28283, 28282])).
% 54.72/34.92 tff(28285,plain,
% 54.72/34.92 (v119(constB135) | (~v118(constB135))),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28284, 6812, 22578])).
% 54.72/34.92 tff(28286,plain,
% 54.72/34.92 (v119(constB135)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28285, 28281])).
% 54.72/34.92 tff(28287,plain,
% 54.72/34.92 (~v90(constB135, 1)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28242, 2868, 28286])).
% 54.72/34.92 tff(28288,plain,
% 54.72/34.92 (~v90(constB134, 1)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22977, 28287])).
% 54.72/34.92 tff(28289,plain,
% 54.72/34.92 (~v90(constB134, 2)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22857, 28251])).
% 54.72/34.92 tff(28290,plain,
% 54.72/34.92 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v119(constB135)) | (~v90(constB135, 0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | (~v119(constB135)) | (~v90(constB135, 0)))),
% 54.72/34.92 inference(rewrite,[status(thm)],[])).
% 54.72/34.92 tff(28291,plain,
% 54.72/34.92 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v119(constB135)) | (~v90(constB135, 0)))),
% 54.72/34.92 inference(quant_inst,[status(thm)],[])).
% 54.72/34.92 tff(28292,plain,
% 54.72/34.92 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | (~v119(constB135)) | (~v90(constB135, 0))),
% 54.72/34.92 inference(modus_ponens,[status(thm)],[28291, 28290])).
% 54.72/34.92 tff(28293,plain,
% 54.72/34.92 (~v90(constB135, 0)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28292, 5865, 28286])).
% 54.72/34.92 tff(28294,plain,
% 54.72/34.92 (~v90(constB134, 0)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22542, 28293])).
% 54.72/34.92 tff(28295,plain,
% 54.72/34.92 (~v113(constB133)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22449, 22425])).
% 54.72/34.92 tff(28296,plain,
% 54.72/34.92 (~v114(constB133)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22823, 1049, 28295])).
% 54.72/34.92 tff(28297,plain,
% 54.72/34.92 (~v115(constB133)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22816, 1035, 28296])).
% 54.72/34.92 tff(28298,plain,
% 54.72/34.92 (~v116(constB133)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22809, 1021, 28297])).
% 54.72/34.92 tff(28299,assumption,(~v90(constB134, 2)), introduced(assumption)).
% 54.72/34.92 tff(28300,plain,
% 54.72/34.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB133, constB134)) | (~v110(constB134)) | v108(constB133))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB133, constB134)) | (~v110(constB134)) | v108(constB133))),
% 54.72/34.92 inference(rewrite,[status(thm)],[])).
% 54.72/34.92 tff(28301,plain,
% 54.72/34.92 (((~nextState(constB133, constB134)) | v108(constB133) | (~v110(constB134))) <=> ((~nextState(constB133, constB134)) | (~v110(constB134)) | v108(constB133))),
% 54.72/34.92 inference(rewrite,[status(thm)],[])).
% 54.72/34.92 tff(28302,plain,
% 54.72/34.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB133, constB134)) | v108(constB133) | (~v110(constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB133, constB134)) | (~v110(constB134)) | v108(constB133)))),
% 54.72/34.92 inference(monotonicity,[status(thm)],[28301])).
% 54.72/34.92 tff(28303,plain,
% 54.72/34.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB133, constB134)) | v108(constB133) | (~v110(constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB133, constB134)) | (~v110(constB134)) | v108(constB133))),
% 54.72/34.92 inference(transitivity,[status(thm)],[28302, 28300])).
% 54.72/34.92 tff(28304,plain,
% 54.72/34.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | ((~nextState(constB133, constB134)) | v108(constB133) | (~v110(constB134)))),
% 54.72/34.92 inference(quant_inst,[status(thm)],[])).
% 54.72/34.92 tff(28305,plain,
% 54.72/34.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v108(VarCurr) | (~v110(VarNext)))) | (~nextState(constB133, constB134)) | (~v110(constB134)) | v108(constB133)),
% 54.72/34.92 inference(modus_ponens,[status(thm)],[28304, 28303])).
% 54.72/34.92 tff(28306,plain,
% 54.72/34.92 ((~v110(constB134)) | v108(constB133)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28305, 6641, 22407])).
% 54.72/34.92 tff(28307,plain,
% 54.72/34.92 (~v110(constB134)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28306, 22425])).
% 54.72/34.92 tff(28308,plain,
% 54.72/34.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB133, constB134)) | v110(constB134) | (~v100(constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB133, constB134)) | v110(constB134) | (~v100(constB134)))),
% 54.72/34.92 inference(rewrite,[status(thm)],[])).
% 54.72/34.92 tff(28309,plain,
% 54.72/34.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | ((~nextState(constB133, constB134)) | v110(constB134) | (~v100(constB134)))),
% 54.72/34.92 inference(quant_inst,[status(thm)],[])).
% 54.72/34.92 tff(28310,plain,
% 54.72/34.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v110(VarNext) | (~v100(VarNext)))) | (~nextState(constB133, constB134)) | v110(constB134) | (~v100(constB134))),
% 54.72/34.92 inference(modus_ponens,[status(thm)],[28309, 28308])).
% 54.72/34.92 tff(28311,plain,
% 54.72/34.92 (v110(constB134) | (~v100(constB134))),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28310, 4764, 22407])).
% 54.72/34.92 tff(28312,plain,
% 54.72/34.92 (~v100(constB134)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28311, 28307])).
% 54.72/34.92 tff(28313,plain,
% 54.72/34.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB133, 2)) | (~nextState(constB133, constB134)) | v100(constB134) | v90(constB134, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB133, 2)) | (~nextState(constB133, constB134)) | v100(constB134) | v90(constB134, 2))),
% 54.72/34.92 inference(rewrite,[status(thm)],[])).
% 54.72/34.92 tff(28314,plain,
% 54.72/34.92 (((~nextState(constB133, constB134)) | (~v90(constB133, 2)) | v100(constB134) | v90(constB134, 2)) <=> ((~v90(constB133, 2)) | (~nextState(constB133, constB134)) | v100(constB134) | v90(constB134, 2))),
% 54.72/34.92 inference(rewrite,[status(thm)],[])).
% 54.72/34.92 tff(28315,plain,
% 54.72/34.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB133, constB134)) | (~v90(constB133, 2)) | v100(constB134) | v90(constB134, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB133, 2)) | (~nextState(constB133, constB134)) | v100(constB134) | v90(constB134, 2)))),
% 54.72/34.92 inference(monotonicity,[status(thm)],[28314])).
% 54.72/34.92 tff(28316,plain,
% 54.72/34.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB133, constB134)) | (~v90(constB133, 2)) | v100(constB134) | v90(constB134, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB133, 2)) | (~nextState(constB133, constB134)) | v100(constB134) | v90(constB134, 2))),
% 54.72/34.92 inference(transitivity,[status(thm)],[28315, 28313])).
% 54.72/34.92 tff(28317,plain,
% 54.72/34.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB133, constB134)) | (~v90(constB133, 2)) | v100(constB134) | v90(constB134, 2))),
% 54.72/34.92 inference(quant_inst,[status(thm)],[])).
% 54.72/34.92 tff(28318,plain,
% 54.72/34.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB133, 2)) | (~nextState(constB133, constB134)) | v100(constB134) | v90(constB134, 2)),
% 54.72/34.92 inference(modus_ponens,[status(thm)],[28317, 28316])).
% 54.72/34.92 tff(28319,plain,
% 54.72/34.92 ((~v90(constB133, 2)) | v100(constB134) | v90(constB134, 2)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28318, 2174, 22407])).
% 54.72/34.92 tff(28320,plain,
% 54.72/34.92 (~v90(constB133, 2)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28319, 28312, 28299])).
% 54.72/34.92 tff(28321,assumption,(~v90(constB134, 1)), introduced(assumption)).
% 54.72/34.92 tff(28322,plain,
% 54.72/34.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB133, 1)) | (~nextState(constB133, constB134)) | v100(constB134) | v90(constB134, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB133, 1)) | (~nextState(constB133, constB134)) | v100(constB134) | v90(constB134, 1))),
% 54.72/34.92 inference(rewrite,[status(thm)],[])).
% 54.72/34.92 tff(28323,plain,
% 54.72/34.92 (((~nextState(constB133, constB134)) | (~v90(constB133, 1)) | v100(constB134) | v90(constB134, 1)) <=> ((~v90(constB133, 1)) | (~nextState(constB133, constB134)) | v100(constB134) | v90(constB134, 1))),
% 54.72/34.92 inference(rewrite,[status(thm)],[])).
% 54.72/34.92 tff(28324,plain,
% 54.72/34.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB133, constB134)) | (~v90(constB133, 1)) | v100(constB134) | v90(constB134, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB133, 1)) | (~nextState(constB133, constB134)) | v100(constB134) | v90(constB134, 1)))),
% 54.72/34.92 inference(monotonicity,[status(thm)],[28323])).
% 54.72/34.92 tff(28325,plain,
% 54.72/34.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB133, constB134)) | (~v90(constB133, 1)) | v100(constB134) | v90(constB134, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB133, 1)) | (~nextState(constB133, constB134)) | v100(constB134) | v90(constB134, 1))),
% 54.72/34.92 inference(transitivity,[status(thm)],[28324, 28322])).
% 54.72/34.92 tff(28326,plain,
% 54.72/34.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB133, constB134)) | (~v90(constB133, 1)) | v100(constB134) | v90(constB134, 1))),
% 54.72/34.92 inference(quant_inst,[status(thm)],[])).
% 54.72/34.92 tff(28327,plain,
% 54.72/34.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB133, 1)) | (~nextState(constB133, constB134)) | v100(constB134) | v90(constB134, 1)),
% 54.72/34.92 inference(modus_ponens,[status(thm)],[28326, 28325])).
% 54.72/34.92 tff(28328,plain,
% 54.72/34.92 ((~v90(constB133, 1)) | v100(constB134) | v90(constB134, 1)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28327, 1641, 22407])).
% 54.72/34.92 tff(28329,plain,
% 54.72/34.92 (~v90(constB133, 1)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28328, 28312, 28321])).
% 54.72/34.92 tff(28330,assumption,(~v90(constB134, 0)), introduced(assumption)).
% 54.72/34.92 tff(28331,plain,
% 54.72/34.92 (~v90(constB133, 0)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[23222, 28312, 28330])).
% 54.72/34.92 tff(28332,plain,
% 54.72/34.92 (v119(constB133)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22332, 968, 28331, 28329, 28320])).
% 54.72/34.92 tff(28333,plain,
% 54.72/34.92 (v118(constB133)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[23070, 982, 28332])).
% 54.72/34.92 tff(28334,plain,
% 54.72/34.92 (v117(constB133)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[23063, 993, 28333])).
% 54.72/34.92 tff(28335,plain,
% 54.72/34.92 ($false),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22922, 1007, 28334, 28298])).
% 54.72/34.92 tff(28336,plain,(v108(constB133) | v90(constB134, 0) | v90(constB134, 2) | v90(constB134, 1)), inference(lemma,lemma(discharge,[]))).
% 54.72/34.92 tff(28337,plain,
% 54.72/34.92 (v108(constB133)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28336, 28294, 28289, 28288])).
% 54.72/34.92 tff(28338,plain,
% 54.72/34.92 (v110(constB134)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22457, 28337])).
% 54.72/34.92 tff(28339,plain,
% 54.72/34.92 (v100(constB134)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22480, 28338])).
% 54.72/34.92 tff(28340,plain,
% 54.72/34.92 ((~v129(constB134, 1)) | (~v100(constB134))),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22967, 1623, 28288])).
% 54.72/34.92 tff(28341,plain,
% 54.72/34.92 (~v129(constB134, 1)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28340, 28339])).
% 54.72/34.92 tff(28342,plain,
% 54.72/34.92 (~v127(constB133, 1)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22960, 28341])).
% 54.72/34.92 tff(28343,plain,
% 54.72/34.92 (~v130(constB133, 1)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22955, 28342])).
% 54.72/34.92 tff(28344,plain,
% 54.72/34.92 (~v120(constB133)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[23204, 1579, 28343])).
% 54.72/34.92 tff(28345,plain,
% 54.72/34.92 ((~v129(constB134, 0)) | (~v100(constB134))),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22533, 1377, 28294])).
% 54.72/34.92 tff(28346,plain,
% 54.72/34.92 (~v129(constB134, 0)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28345, 28339])).
% 54.72/34.92 tff(28347,plain,
% 54.72/34.92 (~v127(constB133, 0)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22526, 28346])).
% 54.72/34.92 tff(28348,plain,
% 54.72/34.92 (~v130(constB133, 0)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22521, 28347])).
% 54.72/34.92 tff(28349,plain,
% 54.72/34.92 (~v121(constB133)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22941, 1915, 28348])).
% 54.72/34.92 tff(28350,plain,
% 54.72/34.92 (~v119(constB133)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[26916, 1333, 28348])).
% 54.72/34.92 tff(28351,plain,
% 54.72/34.92 ((~v129(constB134, 2)) | (~v100(constB134))),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22847, 2324, 28289])).
% 54.72/34.92 tff(28352,plain,
% 54.72/34.92 (~v129(constB134, 2)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28351, 28339])).
% 54.72/34.92 tff(28353,plain,
% 54.72/34.92 (~v127(constB133, 2)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22840, 28352])).
% 54.72/34.92 tff(28354,plain,
% 54.72/34.92 (~v130(constB133, 2)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22835, 28353])).
% 54.72/34.92 tff(28355,plain,
% 54.72/34.92 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB133)) | v130(constB133, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB133)) | v130(constB133, 2))),
% 54.72/34.92 inference(rewrite,[status(thm)],[])).
% 54.72/34.92 tff(28356,plain,
% 54.72/34.92 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB133)) | v130(constB133, 2))),
% 54.72/34.92 inference(quant_inst,[status(thm)],[])).
% 54.72/34.92 tff(28357,plain,
% 54.72/34.92 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB133)) | v130(constB133, 2)),
% 54.72/34.92 inference(modus_ponens,[status(thm)],[28356, 28355])).
% 54.72/34.92 tff(28358,plain,
% 54.72/34.92 (~v124(constB133)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28357, 2741, 28354])).
% 54.72/34.92 tff(28359,plain,
% 54.72/34.92 (~v123(constB133)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[23175, 2525, 28354])).
% 54.72/34.92 tff(28360,plain,
% 54.72/34.92 (~v122(constB133)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22830, 1967, 28354])).
% 54.72/34.92 tff(28361,plain,
% 54.72/34.92 (v119(constB133) | v120(constB133) | v121(constB133)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22515, 3413, 28360, 28359, 28358, 28348])).
% 54.72/34.92 tff(28362,plain,
% 54.72/34.92 ($false),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28361, 28350, 28349, 28344])).
% 54.72/34.92 tff(28363,plain,(v90(constB135, 2) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~v113(constB135))), inference(lemma,lemma(discharge,[]))).
% 54.72/34.92 tff(28364,plain,
% 54.72/34.92 (v121(constB135)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28363, 28250, 27790, 22979, 22578, 22991, 22752])).
% 54.72/34.92 tff(28365,plain,
% 54.72/34.92 (v130(constB135, 1)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[23690, 1877, 28364])).
% 54.72/34.92 tff(28366,plain,
% 54.72/34.92 (v127(constB135, 1)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[23408, 28365])).
% 54.72/34.92 tff(28367,plain,
% 54.72/34.92 (v129(constB136, 1)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[23413, 28366])).
% 54.72/34.92 tff(28368,plain,
% 54.72/34.92 (v90(constB136, 1)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28042, 28367])).
% 54.72/34.92 tff(28369,plain,
% 54.72/34.92 (v90(constB137, 1)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[23441, 28368])).
% 54.72/34.92 tff(28370,plain,
% 54.72/34.92 (~v130(constB135, 2)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28047, 1821, 28364])).
% 54.72/34.92 tff(28371,plain,
% 54.72/34.92 (~v127(constB135, 2)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[23453, 28370])).
% 54.72/34.92 tff(28372,plain,
% 54.72/34.92 (~v129(constB136, 2)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[23458, 28371])).
% 54.72/34.92 tff(28373,plain,
% 54.72/34.92 (~v90(constB136, 2)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28051, 28372])).
% 54.72/34.92 tff(28374,plain,
% 54.72/34.92 (~v90(constB137, 2)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[23472, 28373])).
% 54.72/34.92 tff(28375,plain,
% 54.72/34.92 (~v130(constB133, 0)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[23249, 1657, 28244])).
% 54.72/34.92 tff(28376,plain,
% 54.72/34.92 (~v127(constB133, 0)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22869, 28375])).
% 54.72/34.92 tff(28377,plain,
% 54.72/34.92 (~v129(constB134, 0)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22874, 28376])).
% 54.72/34.92 tff(28378,plain,
% 54.72/34.92 ((~v90(constB134, 0)) | v129(constB134, 0)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22881, 1704, 27050])).
% 54.72/34.92 tff(28379,plain,
% 54.72/34.92 (~v90(constB134, 0)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28378, 28377])).
% 54.72/34.92 tff(28380,plain,
% 54.72/34.92 (~v90(constB135, 0)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22891, 28379])).
% 54.72/34.92 tff(28381,plain,
% 54.72/34.92 (v130(constB135, 0)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28080, 28380, 22752, 22578])).
% 54.72/34.92 tff(28382,plain,
% 54.72/34.92 (v127(constB135, 0)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22708, 28381])).
% 54.72/34.92 tff(28383,plain,
% 54.72/34.92 (v129(constB136, 0)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[22713, 28382])).
% 54.72/34.92 tff(28384,plain,
% 54.72/34.92 (v90(constB136, 0)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28084, 28383])).
% 54.72/34.92 tff(28385,plain,
% 54.72/34.92 (v90(constB137, 0)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[23423, 28384])).
% 54.72/34.92 tff(28386,plain,
% 54.72/34.92 ((~v90(constB137, 1)) | v90(constB137, 2) | v122(constB137)),
% 54.72/34.92 inference(unit_resolution,[status(thm)],[28089, 1956, 28385])).
% 54.72/34.93 tff(28387,plain,
% 54.72/34.93 (v122(constB137)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28386, 28374, 28369])).
% 54.72/34.93 tff(28388,plain,
% 54.72/34.93 (v100(constB138)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[27038, 28374, 26902])).
% 54.72/34.93 tff(28389,plain,
% 54.72/34.93 (v129(constB138, 0)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28093, 28388])).
% 54.72/34.93 tff(28390,plain,
% 54.72/34.93 (v127(constB137, 0)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[27439, 28389])).
% 54.72/34.93 tff(28391,plain,
% 54.72/34.93 (v130(constB137, 0)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[27434, 28390])).
% 54.72/34.93 tff(28392,plain,
% 54.72/34.93 ($false),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28099, 2407, 28391, 28387])).
% 54.72/34.93 tff(28393,plain,((~v120(constB133)) | (~v90(constB138, 0)) | (~v90(constB138, 2)) | (~v100(constB136)) | v122(constB135) | v120(constB135) | v124(constB135) | v123(constB135) | (~v100(constB134))), inference(lemma,lemma(discharge,[]))).
% 54.72/34.93 tff(28394,plain,
% 54.72/34.93 (~v120(constB133)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28393, 28236, 26902, 27786, 22979, 22578, 22991, 22752, 27989])).
% 54.72/34.93 tff(28395,plain,
% 54.72/34.93 (v124(constB133)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[22547, 28394, 28232, 28231, 28230, 28233])).
% 54.72/34.93 tff(28396,plain,
% 54.72/34.93 (v130(constB133, 2)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28357, 2741, 28395])).
% 54.72/34.93 tff(28397,plain,
% 54.72/34.93 (v127(constB133, 2)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[22835, 28396])).
% 54.72/34.93 tff(28398,plain,
% 54.72/34.93 (v129(constB134, 2)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[22840, 28397])).
% 54.72/34.93 tff(28399,plain,
% 54.72/34.93 (v90(constB134, 2) | (~v129(constB134, 2))),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[22847, 2324, 28236])).
% 54.72/34.93 tff(28400,plain,
% 54.72/34.93 (v90(constB134, 2)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28399, 28398])).
% 54.72/34.93 tff(28401,plain,
% 54.72/34.93 (v90(constB135, 2)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[22857, 28400])).
% 54.72/34.93 tff(28402,plain,
% 54.72/34.93 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB135)) | (~v90(constB135, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB135)) | (~v90(constB135, 2)))),
% 54.72/34.93 inference(rewrite,[status(thm)],[])).
% 54.72/34.93 tff(28403,plain,
% 54.72/34.93 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB135)) | (~v90(constB135, 2)))),
% 54.72/34.93 inference(quant_inst,[status(thm)],[])).
% 54.72/34.93 tff(28404,plain,
% 54.72/34.93 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB135)) | (~v90(constB135, 2))),
% 54.72/34.93 inference(modus_ponens,[status(thm)],[28403, 28402])).
% 54.72/34.93 tff(28405,plain,
% 54.72/34.93 (~v121(constB135)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28404, 2857, 28401])).
% 54.72/34.93 tff(28406,plain,
% 54.72/34.93 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~v130(constB135, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~v130(constB135, 1)))),
% 54.72/34.93 inference(rewrite,[status(thm)],[])).
% 54.72/34.93 tff(28407,plain,
% 54.72/34.93 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~v130(constB135, 1)))),
% 54.72/34.93 inference(quant_inst,[status(thm)],[])).
% 54.72/34.93 tff(28408,plain,
% 54.72/34.93 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~v130(constB135, 1))),
% 54.72/34.93 inference(modus_ponens,[status(thm)],[28407, 28406])).
% 54.72/34.93 tff(28409,plain,
% 54.72/34.93 (v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | (~v130(constB135, 1))),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28408, 3309, 22991])).
% 54.72/34.93 tff(28410,plain,
% 54.72/34.93 (~v130(constB135, 1)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28409, 28405, 22979, 22752, 22578, 28243])).
% 54.72/34.93 tff(28411,plain,
% 54.72/34.93 (~v127(constB135, 1)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[27810, 28410])).
% 54.72/34.93 tff(28412,plain,
% 54.72/34.93 (~v129(constB136, 1)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[27815, 28411])).
% 54.72/34.93 tff(28413,plain,
% 54.72/34.93 (~v90(constB136, 1)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[27823, 28412])).
% 54.72/34.93 tff(28414,plain,
% 54.72/34.93 (~v90(constB137, 1)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[27021, 28413])).
% 54.72/34.93 tff(28415,plain,
% 54.72/34.93 (v100(constB138)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[27012, 28414, 26903])).
% 54.72/34.93 tff(28416,plain,
% 54.72/34.93 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~v130(constB135, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~v130(constB135, 2)))),
% 54.72/34.93 inference(rewrite,[status(thm)],[])).
% 54.72/34.93 tff(28417,plain,
% 54.72/34.93 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~v130(constB135, 2)))),
% 54.72/34.93 inference(quant_inst,[status(thm)],[])).
% 54.72/34.93 tff(28418,plain,
% 54.72/34.93 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | v124(constB135) | (~v130(constB135, 2))),
% 54.72/34.93 inference(modus_ponens,[status(thm)],[28417, 28416])).
% 54.72/34.93 tff(28419,plain,
% 54.72/34.93 (v119(constB135) | v120(constB135) | v121(constB135) | v122(constB135) | v123(constB135) | (~v130(constB135, 2))),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28418, 2904, 22991])).
% 54.72/34.93 tff(28420,plain,
% 54.72/34.93 (~v130(constB135, 2)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28419, 28405, 22979, 22752, 22578, 28243])).
% 54.72/34.93 tff(28421,plain,
% 54.72/34.93 (~v127(constB135, 2)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[23453, 28420])).
% 54.72/34.93 tff(28422,plain,
% 54.72/34.93 (~v129(constB136, 2)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[23458, 28421])).
% 54.72/34.93 tff(28423,plain,
% 54.72/34.93 (~v90(constB136, 2)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28051, 28422])).
% 54.72/34.93 tff(28424,plain,
% 54.72/34.93 (~v90(constB137, 2)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[23472, 28423])).
% 54.72/34.93 tff(28425,plain,
% 54.72/34.93 (~v130(constB133, 0)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[23245, 3274, 28395])).
% 54.72/34.93 tff(28426,plain,
% 54.72/34.93 (~v127(constB133, 0)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[22869, 28425])).
% 54.72/34.93 tff(28427,plain,
% 54.72/34.93 (~v129(constB134, 0)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[22874, 28426])).
% 54.72/34.93 tff(28428,plain,
% 54.72/34.93 ((~v90(constB134, 0)) | v129(constB134, 0)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[22881, 1704, 28236])).
% 54.72/34.93 tff(28429,plain,
% 54.72/34.93 (~v90(constB134, 0)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28428, 28427])).
% 54.72/34.93 tff(28430,plain,
% 54.72/34.93 (~v90(constB135, 0)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[22891, 28429])).
% 54.72/34.93 tff(28431,plain,
% 54.72/34.93 (v130(constB135, 0)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28080, 28430, 22752, 22578])).
% 54.72/34.93 tff(28432,plain,
% 54.72/34.93 (v127(constB135, 0)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[22708, 28431])).
% 54.72/34.93 tff(28433,plain,
% 54.72/34.93 (v129(constB136, 0)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[22713, 28432])).
% 54.72/34.93 tff(28434,plain,
% 54.72/34.93 (v90(constB136, 0)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28084, 28433])).
% 54.72/34.93 tff(28435,plain,
% 54.72/34.93 (v90(constB137, 0)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[23423, 28434])).
% 54.72/34.93 tff(28436,plain,
% 54.72/34.93 (v90(constB137, 1) | v90(constB137, 2) | v120(constB137)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[27625, 1414, 28435])).
% 54.72/34.93 tff(28437,plain,
% 54.72/34.93 (v120(constB137)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28436, 28424, 28414])).
% 54.72/34.93 tff(28438,plain,
% 54.72/34.93 ($false),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[27489, 28437, 28415, 26901])).
% 54.72/34.93 tff(28439,plain,(v90(constB133, 1) | v122(constB141) | (~v90(constB138, 1)) | (~v100(constB136)) | v122(constB135) | v123(constB135) | v120(constB135) | v124(constB135) | v119(constB133) | (~v90(constB138, 2)) | (~v90(constB138, 0)) | (~v90(constB133, 0))), inference(lemma,lemma(discharge,[]))).
% 54.72/34.93 tff(28440,plain,
% 54.72/34.93 (v90(constB133, 1)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28439, 26466, 26900, 27641, 27828, 27987, 28222, 27785, 27830, 26885, 26869, 28229])).
% 54.72/34.93 tff(28441,plain,
% 54.72/34.93 (v90(constB132, 1)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[23023, 28440])).
% 54.72/34.93 tff(28442,plain,
% 54.72/34.93 ((~v90(constB132, 1)) | v129(constB132, 1)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[23130, 1309, 27965])).
% 54.72/34.93 tff(28443,plain,
% 54.72/34.93 (v129(constB132, 1)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28442, 28441])).
% 54.72/34.93 tff(28444,plain,
% 54.72/34.93 (v127(constB131, 1)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[23135, 28443])).
% 54.72/34.93 tff(28445,plain,
% 54.72/34.93 (v130(constB131, 1)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[23284, 28444])).
% 54.72/34.93 tff(28446,plain,
% 54.72/34.93 (v123(constB131) | v124(constB131) | (~v130(constB131, 1))),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[23304, 3309, 28210, 28209, 28208, 28207])).
% 54.72/34.93 tff(28447,plain,
% 54.72/34.93 (v123(constB131)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28446, 28445, 28228])).
% 54.72/34.93 tff(28448,plain,
% 54.72/34.93 ($false),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[23292, 2581, 28445, 28447])).
% 54.72/34.93 tff(28449,plain,(v100(constB142) | (~v90(constB142, 1)) | v90(constB127, 2) | v121(constB141)), inference(lemma,lemma(discharge,[]))).
% 54.72/34.93 tff(28450,plain,
% 54.72/34.93 (v100(constB142)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28449, 26417, 26097, 26416])).
% 54.72/34.93 tff(28451,plain,
% 54.72/34.93 (v129(constB142, 1) | (~v100(constB142))),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[24275, 1309, 26417])).
% 54.72/34.93 tff(28452,plain,
% 54.72/34.93 (v129(constB142, 1)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28451, 28450])).
% 54.72/34.93 tff(28453,plain,
% 54.72/34.93 (v127(constB141, 1)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[24268, 28452])).
% 54.72/34.93 tff(28454,plain,
% 54.72/34.93 (v130(constB141, 1)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[24263, 28453])).
% 54.72/34.93 tff(28455,plain,
% 54.72/34.93 (~v119(constB141)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[27709, 1262, 28454])).
% 54.72/34.93 tff(28456,plain,
% 54.72/34.93 (~v123(constB141)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[24255, 2581, 28454])).
% 54.72/34.93 tff(28457,plain,
% 54.72/34.93 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB141)) | (~v130(constB141, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB141)) | (~v130(constB141, 1)))),
% 54.72/34.93 inference(rewrite,[status(thm)],[])).
% 54.72/34.93 tff(28458,plain,
% 54.72/34.93 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB141)) | (~v130(constB141, 1)))),
% 54.72/34.93 inference(quant_inst,[status(thm)],[])).
% 54.72/34.93 tff(28459,plain,
% 54.72/34.93 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB141)) | (~v130(constB141, 1))),
% 54.72/34.93 inference(modus_ponens,[status(thm)],[28458, 28457])).
% 54.72/34.93 tff(28460,plain,
% 54.72/34.93 (~v122(constB141)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28459, 2366, 28454])).
% 54.72/34.93 tff(28461,assumption,(v100(constB144)), introduced(assumption)).
% 54.72/34.93 tff(28462,plain,
% 54.72/34.93 (v129(constB144, 1)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[26244, 28461])).
% 54.72/34.93 tff(28463,plain,
% 54.72/34.93 (v127(constB143, 1)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[26249, 28462])).
% 54.72/34.93 tff(28464,plain,
% 54.72/34.93 ((~v127(constB143, 1)) | v130(constB143, 1)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[26256, 1276, 24336])).
% 54.72/34.93 tff(28465,plain,
% 54.72/34.93 (v130(constB143, 1)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28464, 28463])).
% 54.72/34.93 tff(28466,plain,
% 54.72/34.93 (v121(constB143) | v122(constB143) | (~v130(constB143, 1))),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[26260, 3309, 26322, 26321, 26320, 26319])).
% 54.72/34.93 tff(28467,plain,
% 54.72/34.93 (v121(constB143)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28466, 28465, 26346])).
% 54.72/34.93 tff(28468,plain,
% 54.72/34.93 (v129(constB144, 2)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[26198, 28461])).
% 54.72/34.93 tff(28469,plain,
% 54.72/34.93 (v127(constB143, 2)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[26203, 28468])).
% 54.72/34.93 tff(28470,plain,
% 54.72/34.93 ((~v127(constB143, 2)) | v130(constB143, 2)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[26214, 1190, 24336])).
% 54.72/34.93 tff(28471,plain,
% 54.72/34.93 (v130(constB143, 2)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28470, 28469])).
% 54.72/34.93 tff(28472,plain,
% 54.72/34.93 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB143)) | (~v130(constB143, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB143)) | (~v130(constB143, 2)))),
% 54.72/34.93 inference(rewrite,[status(thm)],[])).
% 54.72/34.93 tff(28473,plain,
% 54.72/34.93 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB143)) | (~v130(constB143, 2)))),
% 54.72/34.93 inference(quant_inst,[status(thm)],[])).
% 54.72/34.93 tff(28474,plain,
% 54.72/34.93 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB143)) | (~v130(constB143, 2))),
% 54.72/34.93 inference(modus_ponens,[status(thm)],[28473, 28472])).
% 54.72/34.93 tff(28475,plain,
% 54.72/34.93 ($false),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28474, 1821, 28471, 28467])).
% 54.72/34.93 tff(28476,plain,((~v100(constB144)) | v122(constB143) | v124(constB143) | v123(constB143) | v120(constB143) | v119(constB143) | (~v90(constB144, 2)) | (~v90(constB144, 1))), inference(lemma,lemma(discharge,[]))).
% 54.72/34.93 tff(28477,plain,
% 54.72/34.93 (~v100(constB144)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28476, 26345, 26271, 26275, 26283, 26279, 26155, 26173])).
% 54.72/34.93 tff(28478,plain,
% 54.72/34.93 (v90(constB143, 2)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[26313, 28477, 26155])).
% 54.72/34.93 tff(28479,plain,
% 54.72/34.93 (v90(constB142, 2)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[26407, 28478])).
% 54.72/34.93 tff(28480,plain,
% 54.72/34.93 ((~v90(constB142, 2)) | v129(constB142, 2)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[26397, 1223, 28450])).
% 54.72/34.93 tff(28481,plain,
% 54.72/34.93 (v129(constB142, 2)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28480, 28479])).
% 54.72/34.93 tff(28482,plain,
% 54.72/34.93 (v127(constB141, 2)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[26393, 28481])).
% 54.72/34.93 tff(28483,plain,
% 54.72/34.93 (v130(constB141, 2)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[26388, 28482])).
% 54.72/34.93 tff(28484,plain,
% 54.72/34.93 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB141)) | (~v130(constB141, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB141)) | (~v130(constB141, 2)))),
% 54.72/34.93 inference(rewrite,[status(thm)],[])).
% 54.72/34.93 tff(28485,plain,
% 54.72/34.93 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB141)) | (~v130(constB141, 2)))),
% 54.72/34.93 inference(quant_inst,[status(thm)],[])).
% 54.72/34.93 tff(28486,plain,
% 54.72/34.93 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB141)) | (~v130(constB141, 2))),
% 54.72/34.93 inference(modus_ponens,[status(thm)],[28485, 28484])).
% 54.72/34.93 tff(28487,plain,
% 54.72/34.93 (~v120(constB141)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28486, 1523, 28483])).
% 54.72/34.93 tff(28488,plain,
% 54.72/34.93 (v90(constB143, 0)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[26301, 28477, 26183])).
% 54.72/34.93 tff(28489,plain,
% 54.72/34.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB142, 0) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB142, 0) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, 0)))),
% 54.72/34.93 inference(rewrite,[status(thm)],[])).
% 54.72/34.93 tff(28490,plain,
% 54.72/34.93 (((~nextState(constB142, constB143)) | v90(constB142, 0) | v100(constB143) | (~v90(constB143, 0))) <=> (v90(constB142, 0) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, 0)))),
% 54.72/34.93 inference(rewrite,[status(thm)],[])).
% 54.72/34.93 tff(28491,plain,
% 54.72/34.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB142, constB143)) | v90(constB142, 0) | v100(constB143) | (~v90(constB143, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB142, 0) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, 0))))),
% 54.72/34.93 inference(monotonicity,[status(thm)],[28490])).
% 54.72/34.93 tff(28492,plain,
% 54.72/34.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB142, constB143)) | v90(constB142, 0) | v100(constB143) | (~v90(constB143, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB142, 0) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, 0)))),
% 54.72/34.93 inference(transitivity,[status(thm)],[28491, 28489])).
% 54.72/34.93 tff(28493,plain,
% 54.72/34.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB142, constB143)) | v90(constB142, 0) | v100(constB143) | (~v90(constB143, 0)))),
% 54.72/34.93 inference(quant_inst,[status(thm)],[])).
% 54.72/34.93 tff(28494,plain,
% 54.72/34.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB142, 0) | (~nextState(constB142, constB143)) | v100(constB143) | (~v90(constB143, 0))),
% 54.72/34.93 inference(modus_ponens,[status(thm)],[28493, 28492])).
% 54.72/34.93 tff(28495,plain,
% 54.72/34.93 (v90(constB142, 0) | v100(constB143) | (~v90(constB143, 0))),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28494, 947, 24231])).
% 54.72/34.93 tff(28496,plain,
% 54.72/34.93 (v90(constB142, 0) | (~v90(constB143, 0))),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28495, 24243])).
% 54.72/34.93 tff(28497,plain,
% 54.72/34.93 (v90(constB142, 0)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28496, 28488])).
% 54.72/34.93 tff(28498,plain,
% 54.72/34.93 ((~v90(constB142, 0)) | v129(constB142, 0)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[26649, 1704, 28450])).
% 54.72/34.93 tff(28499,plain,
% 54.72/34.93 (v129(constB142, 0)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28498, 28497])).
% 54.72/34.93 tff(28500,plain,
% 54.72/34.93 (v127(constB141, 0)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[26655, 28499])).
% 54.72/34.93 tff(28501,plain,
% 54.72/34.93 (v130(constB141, 0)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[27574, 28500])).
% 54.72/34.93 tff(28502,plain,
% 54.72/34.93 (~v124(constB141)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[26850, 3274, 28501])).
% 54.72/34.93 tff(28503,plain,
% 54.72/34.93 (v119(constB141) | v120(constB141) | v122(constB141) | v123(constB141) | v124(constB141) | (~v130(constB141, 1))),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[26784, 3309, 26416])).
% 54.72/34.93 tff(28504,plain,
% 54.72/34.93 ($false),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28503, 28502, 28487, 28454, 28460, 28456, 28455])).
% 54.72/34.93 tff(28505,plain,(v100(constB146) | v90(constB127, 2) | (~v90(constB146, 2)) | (~v90(constB146, 1)) | (~v90(constB146, 0))), inference(lemma,lemma(discharge,[]))).
% 54.72/34.93 tff(28506,plain,
% 54.72/34.93 (v100(constB146)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28505, 26136, 26097, 26126, 26116])).
% 54.72/34.93 tff(28507,plain,
% 54.72/34.93 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB146, 0)) | v129(constB146, 0) | (~v100(constB146)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB146, 0)) | v129(constB146, 0) | (~v100(constB146)))),
% 54.72/34.93 inference(rewrite,[status(thm)],[])).
% 54.72/34.93 tff(28508,plain,
% 54.72/34.93 (((~v90(constB146, 0)) | (~v100(constB146)) | v129(constB146, 0)) <=> ((~v90(constB146, 0)) | v129(constB146, 0) | (~v100(constB146)))),
% 54.72/34.93 inference(rewrite,[status(thm)],[])).
% 54.72/34.93 tff(28509,plain,
% 54.72/34.93 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB146, 0)) | (~v100(constB146)) | v129(constB146, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB146, 0)) | v129(constB146, 0) | (~v100(constB146))))),
% 54.72/34.93 inference(monotonicity,[status(thm)],[28508])).
% 54.72/34.93 tff(28510,plain,
% 54.72/34.93 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB146, 0)) | (~v100(constB146)) | v129(constB146, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB146, 0)) | v129(constB146, 0) | (~v100(constB146)))),
% 54.72/34.93 inference(transitivity,[status(thm)],[28509, 28507])).
% 54.72/34.93 tff(28511,plain,
% 54.72/34.93 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB146, 0)) | (~v100(constB146)) | v129(constB146, 0))),
% 54.72/34.93 inference(quant_inst,[status(thm)],[])).
% 54.72/34.93 tff(28512,plain,
% 54.72/34.93 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB146, 0)) | v129(constB146, 0) | (~v100(constB146))),
% 54.72/34.93 inference(modus_ponens,[status(thm)],[28511, 28510])).
% 54.72/34.93 tff(28513,plain,
% 54.72/34.93 (v129(constB146, 0) | (~v100(constB146))),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28512, 1704, 26116])).
% 54.72/34.93 tff(28514,plain,
% 54.72/34.93 (v129(constB146, 0)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28513, 28506])).
% 54.72/34.93 tff(28515,plain,
% 54.72/34.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB145, constB146)) | v127(constB145, 0) | (~v129(constB146, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB145, constB146)) | v127(constB145, 0) | (~v129(constB146, 0)))),
% 54.72/34.93 inference(rewrite,[status(thm)],[])).
% 54.72/34.93 tff(28516,plain,
% 54.72/34.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB145, constB146)) | v127(constB145, 0) | (~v129(constB146, 0)))),
% 54.72/34.93 inference(quant_inst,[status(thm)],[])).
% 54.72/34.93 tff(28517,plain,
% 54.72/34.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB145, constB146)) | v127(constB145, 0) | (~v129(constB146, 0))),
% 54.72/34.93 inference(modus_ponens,[status(thm)],[28516, 28515])).
% 54.72/34.93 tff(28518,plain,
% 54.72/34.93 (v127(constB145, 0) | (~v129(constB146, 0))),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28517, 1689, 24526])).
% 54.72/34.93 tff(28519,plain,
% 54.72/34.93 (v127(constB145, 0)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28518, 28514])).
% 54.72/34.93 tff(28520,plain,
% 54.72/34.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB145, 0)) | v26(constB145) | v130(constB145, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB145, 0)) | v26(constB145) | v130(constB145, 0))),
% 54.72/34.93 inference(rewrite,[status(thm)],[])).
% 54.72/34.93 tff(28521,plain,
% 54.72/34.93 ((v26(constB145) | v130(constB145, 0) | (~v127(constB145, 0))) <=> ((~v127(constB145, 0)) | v26(constB145) | v130(constB145, 0))),
% 54.72/34.93 inference(rewrite,[status(thm)],[])).
% 54.72/34.93 tff(28522,plain,
% 54.72/34.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB145) | v130(constB145, 0) | (~v127(constB145, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB145, 0)) | v26(constB145) | v130(constB145, 0)))),
% 54.72/34.93 inference(monotonicity,[status(thm)],[28521])).
% 54.72/34.93 tff(28523,plain,
% 54.72/34.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB145) | v130(constB145, 0) | (~v127(constB145, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB145, 0)) | v26(constB145) | v130(constB145, 0))),
% 54.72/34.93 inference(transitivity,[status(thm)],[28522, 28520])).
% 54.72/34.93 tff(28524,plain,
% 54.72/34.93 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB145) | v130(constB145, 0) | (~v127(constB145, 0)))),
% 54.72/34.93 inference(quant_inst,[status(thm)],[])).
% 54.72/34.93 tff(28525,plain,
% 54.72/34.93 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB145, 0)) | v26(constB145) | v130(constB145, 0)),
% 54.72/34.93 inference(modus_ponens,[status(thm)],[28524, 28523])).
% 54.72/34.93 tff(28526,plain,
% 54.72/34.93 ((~v127(constB145, 0)) | v130(constB145, 0)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28525, 1671, 24511])).
% 54.72/34.93 tff(28527,plain,
% 54.72/34.93 (v130(constB145, 0)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28526, 28519])).
% 54.72/34.93 tff(28528,plain,
% 54.72/34.93 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB145)) | (~v130(constB145, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB145)) | (~v130(constB145, 0)))),
% 54.72/34.93 inference(rewrite,[status(thm)],[])).
% 54.72/34.93 tff(28529,plain,
% 54.72/34.93 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB145)) | (~v130(constB145, 0)))),
% 54.72/34.93 inference(quant_inst,[status(thm)],[])).
% 54.72/34.93 tff(28530,plain,
% 54.72/34.93 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB145)) | (~v130(constB145, 0))),
% 54.72/34.93 inference(modus_ponens,[status(thm)],[28529, 28528])).
% 54.72/34.93 tff(28531,plain,
% 54.72/34.93 (~v124(constB145)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28530, 3274, 28527])).
% 54.72/34.93 tff(28532,plain,
% 54.72/34.93 (v129(constB146, 2) | (~v100(constB146))),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[24650, 1223, 26136])).
% 54.72/34.93 tff(28533,plain,
% 54.72/34.93 (v129(constB146, 2)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28532, 28506])).
% 54.72/34.93 tff(28534,plain,
% 54.72/34.93 (v127(constB145, 2)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[24646, 28533])).
% 54.72/34.93 tff(28535,plain,
% 54.72/34.93 (v130(constB145, 2)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[24641, 28534])).
% 54.72/34.93 tff(28536,plain,
% 54.72/34.93 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB145)) | (~v130(constB145, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB145)) | (~v130(constB145, 2)))),
% 54.72/34.93 inference(rewrite,[status(thm)],[])).
% 54.72/34.93 tff(28537,plain,
% 54.72/34.93 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB145)) | (~v130(constB145, 2)))),
% 54.72/34.93 inference(quant_inst,[status(thm)],[])).
% 54.72/34.93 tff(28538,plain,
% 54.72/34.93 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB145)) | (~v130(constB145, 2))),
% 54.72/34.93 inference(modus_ponens,[status(thm)],[28537, 28536])).
% 54.72/34.93 tff(28539,plain,
% 54.72/34.93 (~v121(constB145)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28538, 1821, 28535])).
% 54.72/34.93 tff(28540,plain,
% 54.72/34.93 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB145)) | (~v130(constB145, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB145)) | (~v130(constB145, 2)))),
% 54.72/34.93 inference(rewrite,[status(thm)],[])).
% 54.72/34.93 tff(28541,plain,
% 54.72/34.93 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB145)) | (~v130(constB145, 2)))),
% 54.72/34.93 inference(quant_inst,[status(thm)],[])).
% 54.72/34.93 tff(28542,plain,
% 54.72/34.93 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB145)) | (~v130(constB145, 2))),
% 54.72/34.93 inference(modus_ponens,[status(thm)],[28541, 28540])).
% 54.72/34.93 tff(28543,plain,
% 54.72/34.93 (~v120(constB145)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28542, 1523, 28535])).
% 54.72/34.93 tff(28544,plain,
% 54.72/34.93 (v129(constB146, 1) | (~v100(constB146))),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[24684, 1309, 26126])).
% 54.72/34.93 tff(28545,plain,
% 54.72/34.93 (v129(constB146, 1)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28544, 28506])).
% 54.72/34.93 tff(28546,plain,
% 54.72/34.93 (v127(constB145, 1)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[24677, 28545])).
% 54.72/34.93 tff(28547,plain,
% 54.72/34.93 (v130(constB145, 1)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[24672, 28546])).
% 54.72/34.93 tff(28548,plain,
% 54.72/34.93 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB145)) | (~v130(constB145, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB145)) | (~v130(constB145, 1)))),
% 54.72/34.93 inference(rewrite,[status(thm)],[])).
% 54.72/34.93 tff(28549,plain,
% 54.72/34.93 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB145)) | (~v130(constB145, 1)))),
% 54.72/34.93 inference(quant_inst,[status(thm)],[])).
% 54.72/34.93 tff(28550,plain,
% 54.72/34.93 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB145)) | (~v130(constB145, 1))),
% 54.72/34.93 inference(modus_ponens,[status(thm)],[28549, 28548])).
% 54.72/34.93 tff(28551,plain,
% 54.72/34.93 (~v122(constB145)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28550, 2366, 28547])).
% 54.72/34.93 tff(28552,plain,
% 54.72/34.93 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB145)) | (~v130(constB145, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB145)) | (~v130(constB145, 1)))),
% 54.72/34.93 inference(rewrite,[status(thm)],[])).
% 54.72/34.93 tff(28553,plain,
% 54.72/34.93 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB145)) | (~v130(constB145, 1)))),
% 54.72/34.93 inference(quant_inst,[status(thm)],[])).
% 54.72/34.93 tff(28554,plain,
% 54.72/34.93 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB145)) | (~v130(constB145, 1))),
% 54.72/34.93 inference(modus_ponens,[status(thm)],[28553, 28552])).
% 54.72/34.93 tff(28555,plain,
% 54.72/34.93 (~v119(constB145)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28554, 1262, 28547])).
% 54.72/34.93 tff(28556,plain,
% 54.72/34.93 (v119(constB145) | v120(constB145) | v121(constB145) | v122(constB145) | v124(constB145) | (~v130(constB145, 1))),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[24664, 3309, 26096])).
% 54.72/34.93 tff(28557,plain,
% 54.72/34.93 ($false),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28556, 28555, 28551, 28547, 28543, 28539, 28531])).
% 54.72/34.93 tff(28558,plain,(v100(constB148) | v123(constB145) | v90(constB127, 2) | (~v90(constB148, 0)) | (~v90(constB148, 2)) | (~v90(constB148, 1))), inference(lemma,lemma(discharge,[]))).
% 54.72/34.93 tff(28559,plain,
% 54.72/34.93 (v100(constB148)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28558, 26098, 26097, 26096, 26095, 26094])).
% 54.72/34.93 tff(28560,plain,
% 54.72/34.93 (v129(constB148, 0) | (~v100(constB148))),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[24774, 1704, 26098])).
% 54.72/34.93 tff(28561,plain,
% 54.72/34.93 (v129(constB148, 0)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28560, 28559])).
% 54.72/34.93 tff(28562,plain,
% 54.72/34.93 (v127(constB147, 0)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[24766, 28561])).
% 54.72/34.93 tff(28563,plain,
% 54.72/34.93 ((~v127(constB147, 0)) | v130(constB147, 0)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[24757, 1671, 24743])).
% 54.72/34.93 tff(28564,plain,
% 54.72/34.93 (v130(constB147, 0)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28563, 28562])).
% 54.72/34.93 tff(28565,plain,
% 54.72/34.93 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB147)) | (~v130(constB147, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB147)) | (~v130(constB147, 0)))),
% 54.72/34.93 inference(rewrite,[status(thm)],[])).
% 54.72/34.93 tff(28566,plain,
% 54.72/34.93 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB147)) | (~v130(constB147, 0)))),
% 54.72/34.93 inference(quant_inst,[status(thm)],[])).
% 54.72/34.93 tff(28567,plain,
% 54.72/34.93 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB147)) | (~v130(constB147, 0))),
% 54.72/34.93 inference(modus_ponens,[status(thm)],[28566, 28565])).
% 54.72/34.93 tff(28568,plain,
% 54.72/34.93 (~v124(constB147)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28567, 3274, 28564])).
% 54.72/34.93 tff(28569,plain,
% 54.72/34.93 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB147)) | (~v130(constB147, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB147)) | (~v130(constB147, 0)))),
% 54.72/34.93 inference(rewrite,[status(thm)],[])).
% 54.72/34.93 tff(28570,plain,
% 54.72/34.93 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB147)) | (~v130(constB147, 0)))),
% 54.72/34.93 inference(quant_inst,[status(thm)],[])).
% 54.72/34.93 tff(28571,plain,
% 54.72/34.93 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB147)) | (~v130(constB147, 0))),
% 54.72/34.93 inference(modus_ponens,[status(thm)],[28570, 28569])).
% 54.72/34.93 tff(28572,plain,
% 54.72/34.93 (~v122(constB147)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28571, 2407, 28564])).
% 54.72/34.93 tff(28573,plain,
% 54.72/34.93 (~v120(constB147)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[24702, 1657, 28564])).
% 54.72/34.93 tff(28574,plain,
% 54.72/34.93 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB148, 1)) | v129(constB148, 1) | (~v100(constB148)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB148, 1)) | v129(constB148, 1) | (~v100(constB148)))),
% 54.72/34.93 inference(rewrite,[status(thm)],[])).
% 54.72/34.93 tff(28575,plain,
% 54.72/34.93 (((~v90(constB148, 1)) | (~v100(constB148)) | v129(constB148, 1)) <=> ((~v90(constB148, 1)) | v129(constB148, 1) | (~v100(constB148)))),
% 54.72/34.93 inference(rewrite,[status(thm)],[])).
% 54.72/34.93 tff(28576,plain,
% 54.72/34.93 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB148, 1)) | (~v100(constB148)) | v129(constB148, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB148, 1)) | v129(constB148, 1) | (~v100(constB148))))),
% 54.72/34.93 inference(monotonicity,[status(thm)],[28575])).
% 54.72/34.93 tff(28577,plain,
% 54.72/34.93 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB148, 1)) | (~v100(constB148)) | v129(constB148, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB148, 1)) | v129(constB148, 1) | (~v100(constB148)))),
% 54.72/34.93 inference(transitivity,[status(thm)],[28576, 28574])).
% 54.72/34.93 tff(28578,plain,
% 54.72/34.93 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB148, 1)) | (~v100(constB148)) | v129(constB148, 1))),
% 54.72/34.93 inference(quant_inst,[status(thm)],[])).
% 54.72/34.93 tff(28579,plain,
% 54.72/34.93 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB148, 1)) | v129(constB148, 1) | (~v100(constB148))),
% 54.72/34.93 inference(modus_ponens,[status(thm)],[28578, 28577])).
% 54.72/34.93 tff(28580,plain,
% 54.72/34.93 (v129(constB148, 1) | (~v100(constB148))),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28579, 1309, 26094])).
% 54.72/34.93 tff(28581,plain,
% 54.72/34.93 (v129(constB148, 1)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28580, 28559])).
% 54.72/34.93 tff(28582,plain,
% 54.72/34.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB147, constB148)) | v127(constB147, 1) | (~v129(constB148, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB147, constB148)) | v127(constB147, 1) | (~v129(constB148, 1)))),
% 54.72/34.93 inference(rewrite,[status(thm)],[])).
% 54.72/34.93 tff(28583,plain,
% 54.72/34.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB147, constB148)) | v127(constB147, 1) | (~v129(constB148, 1)))),
% 54.72/34.93 inference(quant_inst,[status(thm)],[])).
% 54.72/34.93 tff(28584,plain,
% 54.72/34.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB147, constB148)) | v127(constB147, 1) | (~v129(constB148, 1))),
% 54.72/34.93 inference(modus_ponens,[status(thm)],[28583, 28582])).
% 54.72/34.93 tff(28585,plain,
% 54.72/34.93 (v127(constB147, 1) | (~v129(constB148, 1))),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28584, 1294, 24762])).
% 54.72/34.93 tff(28586,plain,
% 54.72/34.93 (v127(constB147, 1)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28585, 28581])).
% 54.72/34.93 tff(28587,plain,
% 54.72/34.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB147, 1)) | v26(constB147) | v130(constB147, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB147, 1)) | v26(constB147) | v130(constB147, 1))),
% 54.72/34.93 inference(rewrite,[status(thm)],[])).
% 54.72/34.93 tff(28588,plain,
% 54.72/34.93 ((v26(constB147) | v130(constB147, 1) | (~v127(constB147, 1))) <=> ((~v127(constB147, 1)) | v26(constB147) | v130(constB147, 1))),
% 54.72/34.93 inference(rewrite,[status(thm)],[])).
% 54.72/34.93 tff(28589,plain,
% 54.72/34.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB147) | v130(constB147, 1) | (~v127(constB147, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB147, 1)) | v26(constB147) | v130(constB147, 1)))),
% 54.72/34.93 inference(monotonicity,[status(thm)],[28588])).
% 54.72/34.93 tff(28590,plain,
% 54.72/34.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB147) | v130(constB147, 1) | (~v127(constB147, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB147, 1)) | v26(constB147) | v130(constB147, 1))),
% 54.72/34.93 inference(transitivity,[status(thm)],[28589, 28587])).
% 54.72/34.93 tff(28591,plain,
% 54.72/34.93 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB147) | v130(constB147, 1) | (~v127(constB147, 1)))),
% 54.72/34.93 inference(quant_inst,[status(thm)],[])).
% 54.72/34.93 tff(28592,plain,
% 54.72/34.93 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB147, 1)) | v26(constB147) | v130(constB147, 1)),
% 54.72/34.93 inference(modus_ponens,[status(thm)],[28591, 28590])).
% 54.72/34.93 tff(28593,plain,
% 54.72/34.93 ((~v127(constB147, 1)) | v130(constB147, 1)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28592, 1276, 24743])).
% 54.72/34.93 tff(28594,plain,
% 54.72/34.93 (v130(constB147, 1)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28593, 28586])).
% 54.72/34.93 tff(28595,plain,
% 54.72/34.93 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB147)) | (~v130(constB147, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB147)) | (~v130(constB147, 1)))),
% 54.72/34.93 inference(rewrite,[status(thm)],[])).
% 54.72/34.93 tff(28596,plain,
% 54.72/34.93 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB147)) | (~v130(constB147, 1)))),
% 54.72/34.93 inference(quant_inst,[status(thm)],[])).
% 54.72/34.93 tff(28597,plain,
% 54.72/34.93 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB147)) | (~v130(constB147, 1))),
% 54.72/34.93 inference(modus_ponens,[status(thm)],[28596, 28595])).
% 54.72/34.93 tff(28598,plain,
% 54.72/34.93 (~v123(constB147)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28597, 2581, 28594])).
% 54.72/34.93 tff(28599,assumption,(v119(constB147)), introduced(assumption)).
% 54.72/34.93 tff(28600,plain,
% 54.72/34.93 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB147)) | (~v130(constB147, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB147)) | (~v130(constB147, 2)))),
% 54.72/34.93 inference(rewrite,[status(thm)],[])).
% 54.72/34.93 tff(28601,plain,
% 54.72/34.93 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB147)) | (~v130(constB147, 2)))),
% 54.72/34.93 inference(quant_inst,[status(thm)],[])).
% 54.72/34.93 tff(28602,plain,
% 54.72/34.93 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB147)) | (~v130(constB147, 2))),
% 54.72/34.93 inference(modus_ponens,[status(thm)],[28601, 28600])).
% 54.72/34.93 tff(28603,plain,
% 54.72/34.93 (~v130(constB147, 2)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28602, 1176, 28599])).
% 54.72/34.93 tff(28604,plain,
% 54.72/34.93 (~v127(constB147, 2)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[24836, 28603])).
% 54.72/34.93 tff(28605,plain,
% 54.72/34.93 (~v129(constB148, 2)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[24841, 28604])).
% 54.72/34.93 tff(28606,assumption,(v100(constB148)), introduced(assumption)).
% 54.72/34.93 tff(28607,plain,
% 54.72/34.93 ((~v90(constB148, 2)) | v129(constB148, 2)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[24845, 1223, 28606])).
% 54.72/34.93 tff(28608,plain,
% 54.72/34.93 (~v90(constB148, 2)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28607, 28605])).
% 54.72/34.93 tff(28609,plain,
% 54.72/34.93 (~v90(constB149, 2)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[24873, 28608])).
% 54.72/34.93 tff(28610,plain,
% 54.72/34.93 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB147)) | v130(constB147, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB147)) | v130(constB147, 0))),
% 54.72/34.93 inference(rewrite,[status(thm)],[])).
% 54.72/34.93 tff(28611,plain,
% 54.72/34.93 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB147)) | v130(constB147, 0))),
% 54.72/34.93 inference(quant_inst,[status(thm)],[])).
% 54.72/34.93 tff(28612,plain,
% 54.72/34.93 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB147)) | v130(constB147, 0)),
% 54.72/34.93 inference(modus_ponens,[status(thm)],[28611, 28610])).
% 54.72/34.93 tff(28613,plain,
% 54.72/34.93 (v130(constB147, 0)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28612, 1333, 28599])).
% 54.72/34.93 tff(28614,plain,
% 54.72/34.93 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB147) | (~v130(constB147, 0)) | v127(constB147, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB147) | (~v130(constB147, 0)) | v127(constB147, 0))),
% 54.72/34.93 inference(rewrite,[status(thm)],[])).
% 54.72/34.93 tff(28615,plain,
% 54.72/34.93 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB147) | (~v130(constB147, 0)) | v127(constB147, 0))),
% 54.72/34.93 inference(quant_inst,[status(thm)],[])).
% 54.72/34.93 tff(28616,plain,
% 54.72/34.93 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB147) | (~v130(constB147, 0)) | v127(constB147, 0)),
% 54.72/34.93 inference(modus_ponens,[status(thm)],[28615, 28614])).
% 54.72/34.93 tff(28617,plain,
% 54.72/34.93 ((~v130(constB147, 0)) | v127(constB147, 0)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28616, 1347, 24743])).
% 54.72/34.93 tff(28618,plain,
% 54.72/34.93 (v127(constB147, 0)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28617, 28613])).
% 54.72/34.93 tff(28619,plain,
% 54.72/34.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB147, constB148)) | (~v127(constB147, 0)) | v129(constB148, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB147, constB148)) | (~v127(constB147, 0)) | v129(constB148, 0))),
% 54.72/34.93 inference(rewrite,[status(thm)],[])).
% 54.72/34.93 tff(28620,plain,
% 54.72/34.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB147, constB148)) | (~v127(constB147, 0)) | v129(constB148, 0))),
% 54.72/34.93 inference(quant_inst,[status(thm)],[])).
% 54.72/34.93 tff(28621,plain,
% 54.72/34.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB147, constB148)) | (~v127(constB147, 0)) | v129(constB148, 0)),
% 54.72/34.93 inference(modus_ponens,[status(thm)],[28620, 28619])).
% 54.72/34.93 tff(28622,plain,
% 54.72/34.93 ((~v127(constB147, 0)) | v129(constB148, 0)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28621, 1362, 24762])).
% 54.72/34.93 tff(28623,plain,
% 54.72/34.93 (v129(constB148, 0)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28622, 28618])).
% 54.72/34.93 tff(28624,plain,
% 54.72/34.93 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB148, 0) | (~v129(constB148, 0)) | (~v100(constB148)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB148, 0) | (~v129(constB148, 0)) | (~v100(constB148)))),
% 54.72/34.93 inference(rewrite,[status(thm)],[])).
% 54.72/34.93 tff(28625,plain,
% 54.72/34.93 ((v90(constB148, 0) | (~v100(constB148)) | (~v129(constB148, 0))) <=> (v90(constB148, 0) | (~v129(constB148, 0)) | (~v100(constB148)))),
% 54.72/34.93 inference(rewrite,[status(thm)],[])).
% 54.72/34.93 tff(28626,plain,
% 54.72/34.93 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB148, 0) | (~v100(constB148)) | (~v129(constB148, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB148, 0) | (~v129(constB148, 0)) | (~v100(constB148))))),
% 54.72/34.93 inference(monotonicity,[status(thm)],[28625])).
% 54.72/34.93 tff(28627,plain,
% 54.72/34.93 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB148, 0) | (~v100(constB148)) | (~v129(constB148, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB148, 0) | (~v129(constB148, 0)) | (~v100(constB148)))),
% 54.72/34.93 inference(transitivity,[status(thm)],[28626, 28624])).
% 54.72/34.93 tff(28628,plain,
% 54.72/34.93 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB148, 0) | (~v100(constB148)) | (~v129(constB148, 0)))),
% 54.72/34.93 inference(quant_inst,[status(thm)],[])).
% 54.72/34.93 tff(28629,plain,
% 54.72/34.93 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB148, 0) | (~v129(constB148, 0)) | (~v100(constB148))),
% 54.72/34.93 inference(modus_ponens,[status(thm)],[28628, 28627])).
% 54.72/34.93 tff(28630,plain,
% 54.72/34.93 (v90(constB148, 0) | (~v129(constB148, 0))),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28629, 1377, 28606])).
% 54.72/34.93 tff(28631,plain,
% 54.72/34.93 (v90(constB148, 0)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28630, 28623])).
% 54.72/34.93 tff(28632,plain,
% 54.72/34.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB148, 0)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB148, 0)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, 0))),
% 54.72/34.93 inference(rewrite,[status(thm)],[])).
% 54.72/34.93 tff(28633,plain,
% 54.72/34.93 (((~nextState(constB148, constB149)) | (~v90(constB148, 0)) | v100(constB149) | v90(constB149, 0)) <=> ((~v90(constB148, 0)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, 0))),
% 54.72/34.93 inference(rewrite,[status(thm)],[])).
% 54.72/34.93 tff(28634,plain,
% 54.72/34.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB148, constB149)) | (~v90(constB148, 0)) | v100(constB149) | v90(constB149, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB148, 0)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, 0)))),
% 54.72/34.93 inference(monotonicity,[status(thm)],[28633])).
% 54.72/34.93 tff(28635,plain,
% 54.72/34.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB148, constB149)) | (~v90(constB148, 0)) | v100(constB149) | v90(constB149, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB148, 0)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, 0))),
% 54.72/34.93 inference(transitivity,[status(thm)],[28634, 28632])).
% 54.72/34.93 tff(28636,plain,
% 54.72/34.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB148, constB149)) | (~v90(constB148, 0)) | v100(constB149) | v90(constB149, 0))),
% 54.72/34.93 inference(quant_inst,[status(thm)],[])).
% 54.72/34.93 tff(28637,plain,
% 54.72/34.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB148, 0)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, 0)),
% 54.72/34.93 inference(modus_ponens,[status(thm)],[28636, 28635])).
% 54.72/34.93 tff(28638,plain,
% 54.72/34.93 ((~v90(constB148, 0)) | v100(constB149) | v90(constB149, 0)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28637, 1395, 24853])).
% 54.72/34.93 tff(28639,plain,
% 54.72/34.93 ((~v90(constB148, 0)) | v90(constB149, 0)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28638, 24865])).
% 54.72/34.93 tff(28640,plain,
% 54.72/34.93 (v90(constB149, 0)),
% 54.72/34.93 inference(unit_resolution,[status(thm)],[28639, 28631])).
% 54.72/34.93 tff(28641,plain,
% 54.72/34.93 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB147)) | (~v130(constB147, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB147)) | (~v130(constB147, 1)))),
% 54.72/34.93 inference(rewrite,[status(thm)],[])).
% 54.72/34.93 tff(28642,plain,
% 54.72/34.93 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB147)) | (~v130(constB147, 1)))),
% 54.72/34.93 inference(quant_inst,[status(thm)],[])).
% 54.72/34.93 tff(28643,plain,
% 54.72/34.94 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB147)) | (~v130(constB147, 1))),
% 54.72/34.94 inference(modus_ponens,[status(thm)],[28642, 28641])).
% 54.72/34.94 tff(28644,plain,
% 54.72/34.94 (~v130(constB147, 1)),
% 54.72/34.94 inference(unit_resolution,[status(thm)],[28643, 1262, 28599])).
% 54.72/34.94 tff(28645,plain,
% 54.72/34.94 (~v127(constB147, 1)),
% 54.72/34.94 inference(unit_resolution,[status(thm)],[28593, 28644])).
% 54.72/34.94 tff(28646,plain,
% 54.72/34.94 (~v129(constB148, 1)),
% 54.72/34.94 inference(unit_resolution,[status(thm)],[28585, 28645])).
% 54.72/34.94 tff(28647,plain,
% 54.72/34.94 ((~v90(constB148, 1)) | v129(constB148, 1)),
% 54.72/34.94 inference(unit_resolution,[status(thm)],[28579, 1309, 28606])).
% 54.72/34.94 tff(28648,plain,
% 54.72/34.94 (~v90(constB148, 1)),
% 54.72/34.94 inference(unit_resolution,[status(thm)],[28647, 28646])).
% 54.72/34.94 tff(28649,plain,
% 54.72/34.94 (~v90(constB149, 1)),
% 54.72/34.94 inference(unit_resolution,[status(thm)],[26093, 28648])).
% 54.72/34.94 tff(28650,plain,
% 54.72/34.94 ($false),
% 54.72/34.94 inference(unit_resolution,[status(thm)],[26073, 28649, 28640, 28609])).
% 54.72/34.94 tff(28651,plain,((~v119(constB147)) | v120(constB149) | (~v100(constB148))), inference(lemma,lemma(discharge,[]))).
% 54.72/34.94 tff(28652,plain,
% 54.72/34.94 (~v119(constB147)),
% 54.72/34.94 inference(unit_resolution,[status(thm)],[28651, 28559, 26060])).
% 54.72/34.94 tff(28653,plain,
% 54.72/34.94 (v129(constB148, 2) | (~v100(constB148))),
% 54.72/34.94 inference(unit_resolution,[status(thm)],[24845, 1223, 26095])).
% 54.72/34.94 tff(28654,plain,
% 54.72/34.94 (v129(constB148, 2)),
% 54.72/34.94 inference(unit_resolution,[status(thm)],[28653, 28559])).
% 54.72/34.94 tff(28655,plain,
% 54.72/34.94 (v127(constB147, 2)),
% 54.72/34.94 inference(unit_resolution,[status(thm)],[24841, 28654])).
% 54.72/34.94 tff(28656,plain,
% 54.72/34.94 (v130(constB147, 2)),
% 54.72/34.94 inference(unit_resolution,[status(thm)],[24836, 28655])).
% 54.72/34.94 tff(28657,plain,
% 54.72/34.94 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB147) | v120(constB147) | v121(constB147) | v122(constB147) | v123(constB147) | v124(constB147) | (~v130(constB147, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB147) | v120(constB147) | v121(constB147) | v122(constB147) | v123(constB147) | v124(constB147) | (~v130(constB147, 2)))),
% 54.72/34.94 inference(rewrite,[status(thm)],[])).
% 54.72/34.94 tff(28658,plain,
% 54.72/34.94 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB147) | v120(constB147) | v121(constB147) | v122(constB147) | v123(constB147) | v124(constB147) | (~v130(constB147, 2)))),
% 54.72/34.94 inference(quant_inst,[status(thm)],[])).
% 54.72/34.94 tff(28659,plain,
% 54.72/34.94 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB147) | v120(constB147) | v121(constB147) | v122(constB147) | v123(constB147) | v124(constB147) | (~v130(constB147, 2))),
% 54.72/34.94 inference(modus_ponens,[status(thm)],[28658, 28657])).
% 54.72/34.94 tff(28660,plain,
% 54.72/34.94 (v121(constB147)),
% 54.72/34.94 inference(unit_resolution,[status(thm)],[28659, 2904, 28656, 28652, 28598, 28573, 28572, 28568])).
% 54.72/34.94 tff(28661,plain,
% 54.72/34.94 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB147)) | (~v130(constB147, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB147)) | (~v130(constB147, 2)))),
% 54.72/34.94 inference(rewrite,[status(thm)],[])).
% 54.72/34.94 tff(28662,plain,
% 54.72/34.94 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB147)) | (~v130(constB147, 2)))),
% 54.72/34.94 inference(quant_inst,[status(thm)],[])).
% 54.72/34.94 tff(28663,plain,
% 54.72/34.94 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB147)) | (~v130(constB147, 2))),
% 54.72/34.94 inference(modus_ponens,[status(thm)],[28662, 28661])).
% 54.72/34.94 tff(28664,plain,
% 54.72/34.94 ($false),
% 54.72/34.94 inference(unit_resolution,[status(thm)],[28663, 1821, 28656, 28660])).
% 54.72/34.94 tff(28665,plain,(v100(constB150) | v90(constB127, 2) | v123(constB145)), inference(lemma,lemma(discharge,[]))).
% 54.72/34.94 tff(28666,plain,
% 54.72/34.94 (v100(constB150)),
% 54.72/34.94 inference(unit_resolution,[status(thm)],[28665, 24577, 21625])).
% 54.72/34.94 tff(28667,plain,
% 54.72/34.94 ((~v90(constB150, 2)) | v129(constB150, 2)),
% 54.72/34.94 inference(unit_resolution,[status(thm)],[25964, 1223, 28666])).
% 54.72/34.94 tff(28668,plain,
% 54.72/34.94 (~v90(constB150, 2)),
% 54.72/34.94 inference(unit_resolution,[status(thm)],[28667, 25680])).
% 54.72/34.94 tff(28669,plain,
% 54.72/34.94 ((~v1(constB151)) <=> (~v1(constB151))),
% 54.72/34.94 inference(rewrite,[status(thm)],[])).
% 54.72/34.94 tff(28670,axiom,(~v1(constB151)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_151_1_1')).
% 54.72/34.94 tff(28671,plain,
% 54.72/34.94 (~v1(constB151)),
% 54.72/34.94 inference(modus_ponens,[status(thm)],[28670, 28669])).
% 54.72/34.94 tff(28672,plain,
% 54.72/34.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151)))),
% 54.72/34.94 inference(rewrite,[status(thm)],[])).
% 54.72/34.94 tff(28673,plain,
% 54.72/34.94 (((~nextState(constB150, constB151)) | (~v101(constB151)) | v1(constB151)) <=> (v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151)))),
% 54.72/34.94 inference(rewrite,[status(thm)],[])).
% 54.72/34.94 tff(28674,plain,
% 54.72/34.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB150, constB151)) | (~v101(constB151)) | v1(constB151))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151))))),
% 54.72/34.94 inference(monotonicity,[status(thm)],[28673])).
% 54.72/34.94 tff(28675,plain,
% 54.72/34.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB150, constB151)) | (~v101(constB151)) | v1(constB151))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151)))),
% 54.72/34.94 inference(transitivity,[status(thm)],[28674, 28672])).
% 54.72/34.94 tff(28676,plain,
% 54.72/34.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB150, constB151)) | (~v101(constB151)) | v1(constB151))),
% 54.72/34.94 inference(quant_inst,[status(thm)],[])).
% 54.72/34.94 tff(28677,plain,
% 54.72/34.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB151) | (~nextState(constB150, constB151)) | (~v101(constB151))),
% 54.72/34.94 inference(modus_ponens,[status(thm)],[28676, 28675])).
% 54.72/34.94 tff(28678,plain,
% 54.72/34.94 (~v101(constB151)),
% 54.72/34.94 inference(unit_resolution,[status(thm)],[28677, 873, 25131, 28671])).
% 54.72/34.94 tff(28679,plain,
% 54.72/34.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB150, constB151)) | v101(constB151) | (~v100(constB151)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB150, constB151)) | v101(constB151) | (~v100(constB151)))),
% 54.72/34.94 inference(rewrite,[status(thm)],[])).
% 54.72/34.94 tff(28680,plain,
% 54.72/34.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB150, constB151)) | v101(constB151) | (~v100(constB151)))),
% 54.72/34.94 inference(quant_inst,[status(thm)],[])).
% 54.72/34.94 tff(28681,plain,
% 54.72/34.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB150, constB151)) | v101(constB151) | (~v100(constB151))),
% 54.72/34.94 inference(modus_ponens,[status(thm)],[28680, 28679])).
% 54.72/34.94 tff(28682,plain,
% 54.72/34.94 (v101(constB151) | (~v100(constB151))),
% 54.72/34.94 inference(unit_resolution,[status(thm)],[28681, 890, 25131])).
% 54.72/34.94 tff(28683,plain,
% 54.72/34.94 (~v100(constB151)),
% 54.72/34.94 inference(unit_resolution,[status(thm)],[28682, 28678])).
% 54.72/34.94 tff(28684,plain,
% 54.72/34.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB150, 2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB150, 2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, 2)))),
% 54.72/34.94 inference(rewrite,[status(thm)],[])).
% 54.72/34.94 tff(28685,plain,
% 54.72/34.94 (((~nextState(constB150, constB151)) | v90(constB150, 2) | v100(constB151) | (~v90(constB151, 2))) <=> (v90(constB150, 2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, 2)))),
% 54.72/34.94 inference(rewrite,[status(thm)],[])).
% 54.72/34.94 tff(28686,plain,
% 54.72/34.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB150, constB151)) | v90(constB150, 2) | v100(constB151) | (~v90(constB151, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB150, 2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, 2))))),
% 54.72/34.94 inference(monotonicity,[status(thm)],[28685])).
% 54.72/34.94 tff(28687,plain,
% 54.72/34.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB150, constB151)) | v90(constB150, 2) | v100(constB151) | (~v90(constB151, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB150, 2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, 2)))),
% 54.72/34.94 inference(transitivity,[status(thm)],[28686, 28684])).
% 54.72/34.94 tff(28688,plain,
% 54.72/34.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB150, constB151)) | v90(constB150, 2) | v100(constB151) | (~v90(constB151, 2)))),
% 54.72/34.94 inference(quant_inst,[status(thm)],[])).
% 54.72/34.94 tff(28689,plain,
% 54.72/34.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB150, 2) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, 2))),
% 54.72/34.94 inference(modus_ponens,[status(thm)],[28688, 28687])).
% 54.72/34.94 tff(28690,plain,
% 54.72/34.94 (v90(constB150, 2) | v100(constB151) | (~v90(constB151, 2))),
% 54.72/34.94 inference(unit_resolution,[status(thm)],[28689, 905, 25131])).
% 54.72/34.94 tff(28691,plain,
% 54.72/34.94 (v90(constB150, 2) | (~v90(constB151, 2))),
% 54.72/34.94 inference(unit_resolution,[status(thm)],[28690, 28683])).
% 54.72/34.94 tff(28692,plain,
% 54.72/34.94 (~v90(constB151, 2)),
% 54.72/34.94 inference(unit_resolution,[status(thm)],[28691, 28668])).
% 54.72/34.94 tff(28693,plain,
% 54.72/34.94 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB149)) | v130(constB149, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB149)) | v130(constB149, 1))),
% 54.72/34.94 inference(rewrite,[status(thm)],[])).
% 54.72/34.94 tff(28694,plain,
% 54.72/34.94 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB149)) | v130(constB149, 1))),
% 54.72/34.94 inference(quant_inst,[status(thm)],[])).
% 54.72/34.94 tff(28695,plain,
% 54.72/34.94 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB149)) | v130(constB149, 1)),
% 54.72/34.94 inference(modus_ponens,[status(thm)],[28694, 28693])).
% 54.72/34.94 tff(28696,plain,
% 54.72/34.94 (v130(constB149, 1)),
% 54.72/34.94 inference(unit_resolution,[status(thm)],[28695, 1877, 25659])).
% 54.72/34.94 tff(28697,plain,
% 54.72/34.94 ((~v130(constB149, 1)) | v127(constB149, 1)),
% 54.72/34.94 inference(unit_resolution,[status(thm)],[25938, 1593, 25667])).
% 54.72/34.94 tff(28698,plain,
% 54.72/34.94 (v127(constB149, 1)),
% 54.72/34.94 inference(unit_resolution,[status(thm)],[28697, 28696])).
% 54.72/34.94 tff(28699,plain,
% 54.72/34.94 (v129(constB150, 1)),
% 54.72/34.94 inference(unit_resolution,[status(thm)],[25944, 28698])).
% 54.72/34.94 tff(28700,plain,
% 54.72/34.94 (v90(constB150, 1) | (~v129(constB150, 1))),
% 54.72/34.94 inference(unit_resolution,[status(thm)],[25952, 1623, 28666])).
% 54.72/34.94 tff(28701,plain,
% 54.72/34.94 (v90(constB150, 1)),
% 54.72/34.94 inference(unit_resolution,[status(thm)],[28700, 28699])).
% 54.72/34.94 tff(28702,plain,
% 54.72/34.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB150, 1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB150, 1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, 1))),
% 54.72/34.94 inference(rewrite,[status(thm)],[])).
% 54.72/34.94 tff(28703,plain,
% 54.72/34.94 (((~nextState(constB150, constB151)) | (~v90(constB150, 1)) | v100(constB151) | v90(constB151, 1)) <=> ((~v90(constB150, 1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, 1))),
% 54.72/34.94 inference(rewrite,[status(thm)],[])).
% 54.72/34.94 tff(28704,plain,
% 54.72/34.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB150, constB151)) | (~v90(constB150, 1)) | v100(constB151) | v90(constB151, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB150, 1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, 1)))),
% 54.72/34.94 inference(monotonicity,[status(thm)],[28703])).
% 54.72/34.94 tff(28705,plain,
% 54.72/34.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB150, constB151)) | (~v90(constB150, 1)) | v100(constB151) | v90(constB151, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB150, 1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, 1))),
% 54.72/34.94 inference(transitivity,[status(thm)],[28704, 28702])).
% 54.72/34.94 tff(28706,plain,
% 54.72/34.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB150, constB151)) | (~v90(constB150, 1)) | v100(constB151) | v90(constB151, 1))),
% 54.72/34.94 inference(quant_inst,[status(thm)],[])).
% 54.72/34.94 tff(28707,plain,
% 54.72/34.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB150, 1)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, 1)),
% 54.72/34.94 inference(modus_ponens,[status(thm)],[28706, 28705])).
% 54.72/34.94 tff(28708,plain,
% 54.72/34.94 ((~v90(constB150, 1)) | v100(constB151) | v90(constB151, 1)),
% 54.72/34.94 inference(unit_resolution,[status(thm)],[28707, 1641, 25131])).
% 54.72/34.94 tff(28709,plain,
% 54.72/34.94 ((~v90(constB150, 1)) | v90(constB151, 1)),
% 54.72/34.94 inference(unit_resolution,[status(thm)],[28708, 28683])).
% 54.72/34.94 tff(28710,plain,
% 54.72/34.94 (v90(constB151, 1)),
% 54.72/34.94 inference(unit_resolution,[status(thm)],[28709, 28701])).
% 54.72/34.94 tff(28711,plain,
% 54.72/34.94 (v130(constB149, 0)),
% 54.72/34.94 inference(unit_resolution,[status(thm)],[25863, 1915, 25659])).
% 54.72/34.94 tff(28712,plain,
% 54.72/34.94 ((~v130(constB149, 0)) | v127(constB149, 0)),
% 54.72/34.94 inference(unit_resolution,[status(thm)],[25850, 1347, 25667])).
% 54.72/34.94 tff(28713,plain,
% 54.72/34.94 (v127(constB149, 0)),
% 54.72/34.94 inference(unit_resolution,[status(thm)],[28712, 28711])).
% 54.72/34.94 tff(28714,plain,
% 54.72/34.94 (v129(constB150, 0)),
% 54.72/34.94 inference(unit_resolution,[status(thm)],[25821, 28713])).
% 54.72/34.94 tff(28715,plain,
% 54.72/34.94 (v90(constB150, 0) | (~v129(constB150, 0))),
% 54.72/34.94 inference(unit_resolution,[status(thm)],[25815, 1377, 28666])).
% 54.72/34.94 tff(28716,plain,
% 54.72/34.94 (v90(constB150, 0)),
% 54.72/34.94 inference(unit_resolution,[status(thm)],[28715, 28714])).
% 54.72/34.94 tff(28717,plain,
% 54.72/34.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB150, 0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB150, 0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, 0))),
% 54.78/34.94 inference(rewrite,[status(thm)],[])).
% 54.78/34.94 tff(28718,plain,
% 54.78/34.94 (((~nextState(constB150, constB151)) | (~v90(constB150, 0)) | v100(constB151) | v90(constB151, 0)) <=> ((~v90(constB150, 0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, 0))),
% 54.78/34.94 inference(rewrite,[status(thm)],[])).
% 54.78/34.94 tff(28719,plain,
% 54.78/34.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB150, constB151)) | (~v90(constB150, 0)) | v100(constB151) | v90(constB151, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB150, 0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, 0)))),
% 54.78/34.94 inference(monotonicity,[status(thm)],[28718])).
% 54.78/34.94 tff(28720,plain,
% 54.78/34.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB150, constB151)) | (~v90(constB150, 0)) | v100(constB151) | v90(constB151, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB150, 0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, 0))),
% 54.78/34.94 inference(transitivity,[status(thm)],[28719, 28717])).
% 54.78/34.94 tff(28721,plain,
% 54.78/34.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB150, constB151)) | (~v90(constB150, 0)) | v100(constB151) | v90(constB151, 0))),
% 54.78/34.94 inference(quant_inst,[status(thm)],[])).
% 54.78/34.94 tff(28722,plain,
% 54.78/34.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB150, 0)) | (~nextState(constB150, constB151)) | v100(constB151) | v90(constB151, 0)),
% 54.78/34.94 inference(modus_ponens,[status(thm)],[28721, 28720])).
% 54.78/34.94 tff(28723,plain,
% 54.78/34.94 ((~v90(constB150, 0)) | v100(constB151) | v90(constB151, 0)),
% 54.78/34.94 inference(unit_resolution,[status(thm)],[28722, 1395, 25131])).
% 54.78/34.94 tff(28724,plain,
% 54.78/34.94 ((~v90(constB150, 0)) | v90(constB151, 0)),
% 54.78/34.94 inference(unit_resolution,[status(thm)],[28723, 28683])).
% 54.78/34.94 tff(28725,plain,
% 54.78/34.94 (v90(constB151, 0)),
% 54.78/34.94 inference(unit_resolution,[status(thm)],[28724, 28716])).
% 54.78/34.94 tff(28726,plain,
% 54.78/34.94 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB151, 0)) | (~v90(constB151, 1)) | v90(constB151, 2) | v122(constB151))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB151, 0)) | (~v90(constB151, 1)) | v90(constB151, 2) | v122(constB151))),
% 54.78/34.94 inference(rewrite,[status(thm)],[])).
% 54.78/34.94 tff(28727,plain,
% 54.78/34.94 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB151, 0)) | (~v90(constB151, 1)) | v90(constB151, 2) | v122(constB151))),
% 54.78/34.94 inference(quant_inst,[status(thm)],[])).
% 54.78/34.94 tff(28728,plain,
% 54.78/34.94 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB151, 0)) | (~v90(constB151, 1)) | v90(constB151, 2) | v122(constB151)),
% 54.78/34.94 inference(modus_ponens,[status(thm)],[28727, 28726])).
% 54.78/34.94 tff(28729,plain,
% 54.78/34.94 (v122(constB151)),
% 54.78/34.94 inference(unit_resolution,[status(thm)],[28728, 1956, 28725, 28710, 28692])).
% 54.78/34.94 tff(28730,plain,
% 54.78/34.94 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB151)) | v116(constB151))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB151)) | v116(constB151))),
% 54.78/34.94 inference(rewrite,[status(thm)],[])).
% 54.78/34.94 tff(28731,plain,
% 54.78/34.94 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB151)) | v116(constB151))),
% 54.78/34.94 inference(quant_inst,[status(thm)],[])).
% 54.78/34.94 tff(28732,plain,
% 54.78/34.94 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB151)) | v116(constB151)),
% 54.78/34.94 inference(modus_ponens,[status(thm)],[28731, 28730])).
% 54.78/34.94 tff(28733,plain,
% 54.78/34.94 (v116(constB151)),
% 54.78/34.94 inference(unit_resolution,[status(thm)],[28732, 2120, 28729])).
% 54.78/34.94 tff(28734,plain,
% 54.78/34.94 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB151) | (~v116(constB151)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB151) | (~v116(constB151)))),
% 54.78/34.94 inference(rewrite,[status(thm)],[])).
% 54.78/34.94 tff(28735,plain,
% 54.78/34.94 (((~v116(constB151)) | v115(constB151)) <=> (v115(constB151) | (~v116(constB151)))),
% 54.78/34.94 inference(rewrite,[status(thm)],[])).
% 54.78/34.94 tff(28736,plain,
% 54.78/34.94 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB151)) | v115(constB151))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB151) | (~v116(constB151))))),
% 54.78/34.94 inference(monotonicity,[status(thm)],[28735])).
% 54.78/34.94 tff(28737,plain,
% 54.78/34.94 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB151)) | v115(constB151))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB151) | (~v116(constB151)))),
% 54.78/34.94 inference(transitivity,[status(thm)],[28736, 28734])).
% 54.78/34.94 tff(28738,plain,
% 54.78/34.94 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB151)) | v115(constB151))),
% 54.78/34.94 inference(quant_inst,[status(thm)],[])).
% 54.78/34.94 tff(28739,plain,
% 54.78/34.94 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB151) | (~v116(constB151))),
% 54.78/34.94 inference(modus_ponens,[status(thm)],[28738, 28737])).
% 54.78/34.94 tff(28740,plain,
% 54.78/34.94 (v115(constB151)),
% 54.78/34.94 inference(unit_resolution,[status(thm)],[28739, 1021, 28733])).
% 54.78/34.94 tff(28741,plain,
% 54.78/34.94 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB151)) | v114(constB151))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB151)) | v114(constB151))),
% 54.78/34.94 inference(rewrite,[status(thm)],[])).
% 54.78/34.94 tff(28742,plain,
% 54.78/34.94 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB151)) | v114(constB151))),
% 54.78/34.94 inference(quant_inst,[status(thm)],[])).
% 54.78/34.94 tff(28743,plain,
% 54.78/34.94 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB151)) | v114(constB151)),
% 54.78/34.94 inference(modus_ponens,[status(thm)],[28742, 28741])).
% 54.78/34.94 tff(28744,plain,
% 54.78/34.94 (v114(constB151)),
% 54.78/34.94 inference(unit_resolution,[status(thm)],[28743, 1035, 28740])).
% 54.78/34.94 tff(28745,plain,
% 54.78/34.94 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB151) | (~v114(constB151)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB151) | (~v114(constB151)))),
% 54.78/34.94 inference(rewrite,[status(thm)],[])).
% 54.78/34.94 tff(28746,plain,
% 54.78/34.94 (((~v114(constB151)) | v113(constB151)) <=> (v113(constB151) | (~v114(constB151)))),
% 54.78/34.94 inference(rewrite,[status(thm)],[])).
% 54.78/34.94 tff(28747,plain,
% 54.78/34.94 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB151)) | v113(constB151))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB151) | (~v114(constB151))))),
% 54.78/34.94 inference(monotonicity,[status(thm)],[28746])).
% 54.78/34.94 tff(28748,plain,
% 54.78/34.94 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB151)) | v113(constB151))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB151) | (~v114(constB151)))),
% 54.78/34.94 inference(transitivity,[status(thm)],[28747, 28745])).
% 54.78/34.94 tff(28749,plain,
% 54.78/34.94 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB151)) | v113(constB151))),
% 54.78/34.94 inference(quant_inst,[status(thm)],[])).
% 54.78/34.94 tff(28750,plain,
% 54.78/34.94 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB151) | (~v114(constB151))),
% 54.78/34.94 inference(modus_ponens,[status(thm)],[28749, 28748])).
% 54.78/34.94 tff(28751,plain,
% 54.78/34.94 (v113(constB151)),
% 54.78/34.94 inference(unit_resolution,[status(thm)],[28750, 1049, 28744])).
% 54.78/34.94 tff(28752,assumption,(v26(constB151)), introduced(assumption)).
% 54.78/34.94 tff(28753,plain,
% 54.78/34.94 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB151))),
% 54.78/34.94 inference(quant_inst,[status(thm)],[])).
% 54.78/34.94 tff(28754,plain,
% 54.78/34.94 ($false),
% 54.78/34.94 inference(unit_resolution,[status(thm)],[28753, 828, 28752])).
% 54.78/34.94 tff(28755,plain,(~v26(constB151)), inference(lemma,lemma(discharge,[]))).
% 54.78/34.94 tff(28756,plain,
% 54.78/34.94 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB151) | (~v113(constB151)) | v112(constB151))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB151) | (~v113(constB151)) | v112(constB151))),
% 54.78/34.94 inference(rewrite,[status(thm)],[])).
% 54.78/34.94 tff(28757,plain,
% 54.78/34.94 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB151) | (~v113(constB151)) | v112(constB151))),
% 54.78/34.94 inference(quant_inst,[status(thm)],[])).
% 54.78/34.94 tff(28758,plain,
% 54.78/34.94 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB151) | (~v113(constB151)) | v112(constB151)),
% 54.78/34.94 inference(modus_ponens,[status(thm)],[28757, 28756])).
% 54.78/34.94 tff(28759,plain,
% 54.78/34.94 ((~v113(constB151)) | v112(constB151)),
% 54.78/34.94 inference(unit_resolution,[status(thm)],[28758, 1063, 28755])).
% 54.78/34.94 tff(28760,plain,
% 54.78/34.94 (v112(constB151)),
% 54.78/34.94 inference(unit_resolution,[status(thm)],[28759, 28751])).
% 54.78/34.94 tff(28761,plain,
% 54.78/34.94 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB151) | (~v112(constB151)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB151) | (~v112(constB151)))),
% 54.78/34.94 inference(rewrite,[status(thm)],[])).
% 54.78/34.94 tff(28762,plain,
% 54.78/34.94 (((~v112(constB151)) | v108(constB151)) <=> (v108(constB151) | (~v112(constB151)))),
% 54.78/34.94 inference(rewrite,[status(thm)],[])).
% 54.78/34.94 tff(28763,plain,
% 54.78/34.94 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB151)) | v108(constB151))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB151) | (~v112(constB151))))),
% 54.78/34.94 inference(monotonicity,[status(thm)],[28762])).
% 54.78/34.94 tff(28764,plain,
% 54.78/34.94 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB151)) | v108(constB151))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB151) | (~v112(constB151)))),
% 54.78/34.94 inference(transitivity,[status(thm)],[28763, 28761])).
% 54.78/34.94 tff(28765,plain,
% 54.78/34.94 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB151)) | v108(constB151))),
% 54.78/34.94 inference(quant_inst,[status(thm)],[])).
% 54.78/34.94 tff(28766,plain,
% 54.78/34.94 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB151) | (~v112(constB151))),
% 54.78/34.94 inference(modus_ponens,[status(thm)],[28765, 28764])).
% 54.78/34.94 tff(28767,plain,
% 54.78/34.94 (v108(constB151)),
% 54.78/34.94 inference(unit_resolution,[status(thm)],[28766, 1075, 28760])).
% 54.78/34.94 tff(28768,plain,
% 54.78/34.94 (nextState(constB151, constB152) <=> nextState(constB151, constB152)),
% 54.78/34.94 inference(rewrite,[status(thm)],[])).
% 54.78/34.94 tff(28769,axiom,(nextState(constB151, constB152)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_151_1')).
% 54.78/34.94 tff(28770,plain,
% 54.78/34.94 (nextState(constB151, constB152)),
% 54.78/34.94 inference(modus_ponens,[status(thm)],[28769, 28768])).
% 54.78/34.94 tff(28771,plain,
% 54.78/34.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151)))),
% 54.78/34.94 inference(rewrite,[status(thm)],[])).
% 54.78/34.94 tff(28772,plain,
% 54.78/34.94 (((~nextState(constB151, constB152)) | (~v108(constB151)) | v110(constB152)) <=> ((~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151)))),
% 54.78/34.94 inference(rewrite,[status(thm)],[])).
% 54.78/34.94 tff(28773,plain,
% 54.78/34.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB151, constB152)) | (~v108(constB151)) | v110(constB152))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151))))),
% 54.78/34.94 inference(monotonicity,[status(thm)],[28772])).
% 54.78/34.94 tff(28774,plain,
% 54.78/34.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB151, constB152)) | (~v108(constB151)) | v110(constB152))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151)))),
% 54.78/34.94 inference(transitivity,[status(thm)],[28773, 28771])).
% 54.78/34.94 tff(28775,plain,
% 54.78/34.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB151, constB152)) | (~v108(constB151)) | v110(constB152))),
% 54.78/34.94 inference(quant_inst,[status(thm)],[])).
% 54.78/34.94 tff(28776,plain,
% 54.78/34.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB151, constB152)) | v110(constB152) | (~v108(constB151))),
% 54.78/34.94 inference(modus_ponens,[status(thm)],[28775, 28774])).
% 54.78/34.94 tff(28777,plain,
% 54.78/34.94 (v110(constB152) | (~v108(constB151))),
% 54.78/34.94 inference(unit_resolution,[status(thm)],[28776, 1095, 28770])).
% 54.78/34.94 tff(28778,plain,
% 54.78/34.94 (v110(constB152)),
% 54.78/34.94 inference(unit_resolution,[status(thm)],[28777, 28767])).
% 54.78/34.94 tff(28779,plain,
% 54.78/34.94 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB151) | (~nextState(constB151, constB152)) | (~v104(constB152)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB151) | (~nextState(constB151, constB152)) | (~v104(constB152)))),
% 54.78/34.94 inference(rewrite,[status(thm)],[])).
% 54.78/34.94 tff(28780,plain,
% 54.78/34.94 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB151) | (~nextState(constB151, constB152)) | (~v104(constB152)))),
% 54.78/34.94 inference(quant_inst,[status(thm)],[])).
% 54.78/34.94 tff(28781,plain,
% 54.78/34.94 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB151) | (~nextState(constB151, constB152)) | (~v104(constB152))),
% 54.78/34.94 inference(modus_ponens,[status(thm)],[28780, 28779])).
% 54.78/34.94 tff(28782,plain,
% 54.78/34.94 (~v104(constB152)),
% 54.78/34.94 inference(unit_resolution,[status(thm)],[28781, 1113, 28770, 28671])).
% 54.78/34.94 tff(28783,plain,
% 54.78/34.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB151, constB152)) | v102(constB152) | v104(constB152))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB151, constB152)) | v102(constB152) | v104(constB152))),
% 54.78/34.94 inference(rewrite,[status(thm)],[])).
% 54.78/34.94 tff(28784,plain,
% 54.78/34.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB151, constB152)) | v102(constB152) | v104(constB152))),
% 54.78/34.94 inference(quant_inst,[status(thm)],[])).
% 54.78/34.94 tff(28785,plain,
% 54.78/34.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB151, constB152)) | v102(constB152) | v104(constB152)),
% 54.78/34.94 inference(modus_ponens,[status(thm)],[28784, 28783])).
% 54.78/34.94 tff(28786,plain,
% 54.78/34.94 (v102(constB152) | v104(constB152)),
% 54.78/34.94 inference(unit_resolution,[status(thm)],[28785, 1127, 28770])).
% 54.78/34.94 tff(28787,plain,
% 54.78/34.94 (v102(constB152)),
% 54.78/34.94 inference(unit_resolution,[status(thm)],[28786, 28782])).
% 54.78/34.94 tff(28788,plain,
% 54.78/34.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB151, constB152)) | v101(constB152) | (~v102(constB152)) | (~v1(constB152)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB151, constB152)) | v101(constB152) | (~v102(constB152)) | (~v1(constB152)))),
% 54.78/34.94 inference(rewrite,[status(thm)],[])).
% 54.78/34.94 tff(28789,plain,
% 54.78/34.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB151, constB152)) | v101(constB152) | (~v102(constB152)) | (~v1(constB152)))),
% 54.78/34.94 inference(quant_inst,[status(thm)],[])).
% 54.78/34.94 tff(28790,plain,
% 54.78/34.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB151, constB152)) | v101(constB152) | (~v102(constB152)) | (~v1(constB152))),
% 54.78/34.94 inference(modus_ponens,[status(thm)],[28789, 28788])).
% 54.78/34.94 tff(28791,plain,
% 54.78/34.94 (v101(constB152) | (~v102(constB152))),
% 54.78/34.94 inference(unit_resolution,[status(thm)],[28790, 1145, 28770, 332])).
% 54.78/34.94 tff(28792,plain,
% 54.78/34.94 (v101(constB152)),
% 54.78/34.94 inference(unit_resolution,[status(thm)],[28791, 28787])).
% 54.78/34.94 tff(28793,plain,
% 54.78/34.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152)))),
% 54.78/34.94 inference(rewrite,[status(thm)],[])).
% 54.78/34.94 tff(28794,plain,
% 54.78/34.94 (((~nextState(constB151, constB152)) | (~v101(constB152)) | (~v110(constB152)) | v100(constB152)) <=> ((~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152)))),
% 54.78/34.94 inference(rewrite,[status(thm)],[])).
% 54.78/34.94 tff(28795,plain,
% 54.78/34.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB151, constB152)) | (~v101(constB152)) | (~v110(constB152)) | v100(constB152))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152))))),
% 54.78/34.94 inference(monotonicity,[status(thm)],[28794])).
% 54.78/34.94 tff(28796,plain,
% 54.78/34.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB151, constB152)) | (~v101(constB152)) | (~v110(constB152)) | v100(constB152))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152)))),
% 54.78/34.94 inference(transitivity,[status(thm)],[28795, 28793])).
% 54.78/34.94 tff(28797,plain,
% 54.78/34.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB151, constB152)) | (~v101(constB152)) | (~v110(constB152)) | v100(constB152))),
% 54.78/34.94 inference(quant_inst,[status(thm)],[])).
% 54.78/34.94 tff(28798,plain,
% 54.78/34.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB151, constB152)) | v100(constB152) | (~v101(constB152)) | (~v110(constB152))),
% 54.78/34.94 inference(modus_ponens,[status(thm)],[28797, 28796])).
% 54.78/34.94 tff(28799,plain,
% 54.78/34.94 (v100(constB152) | (~v101(constB152)) | (~v110(constB152))),
% 54.78/34.94 inference(unit_resolution,[status(thm)],[28798, 1160, 28770])).
% 54.78/34.94 tff(28800,plain,
% 54.78/34.94 (v100(constB152) | (~v110(constB152))),
% 54.78/34.94 inference(unit_resolution,[status(thm)],[28799, 28792])).
% 54.78/34.94 tff(28801,plain,
% 54.78/34.94 (v100(constB152)),
% 54.78/34.94 inference(unit_resolution,[status(thm)],[28800, 28778])).
% 54.78/34.94 tff(28802,plain,
% 54.78/34.94 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB151)) | v130(constB151, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB151)) | v130(constB151, 2))),
% 54.78/34.94 inference(rewrite,[status(thm)],[])).
% 54.78/34.94 tff(28803,plain,
% 54.78/34.94 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB151)) | v130(constB151, 2))),
% 54.78/34.94 inference(quant_inst,[status(thm)],[])).
% 54.78/34.94 tff(28804,plain,
% 54.78/34.94 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB151)) | v130(constB151, 2)),
% 54.78/34.94 inference(modus_ponens,[status(thm)],[28803, 28802])).
% 54.78/34.94 tff(28805,plain,
% 54.78/34.94 (v130(constB151, 2)),
% 54.78/34.94 inference(unit_resolution,[status(thm)],[28804, 1967, 28729])).
% 54.78/34.94 tff(28806,plain,
% 54.78/34.94 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB151) | (~v130(constB151, 2)) | v127(constB151, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB151) | (~v130(constB151, 2)) | v127(constB151, 2))),
% 54.78/34.94 inference(rewrite,[status(thm)],[])).
% 54.78/34.94 tff(28807,plain,
% 54.78/34.94 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB151) | (~v130(constB151, 2)) | v127(constB151, 2))),
% 54.78/34.94 inference(quant_inst,[status(thm)],[])).
% 54.78/34.94 tff(28808,plain,
% 54.78/34.94 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB151) | (~v130(constB151, 2)) | v127(constB151, 2)),
% 54.78/34.94 inference(modus_ponens,[status(thm)],[28807, 28806])).
% 54.78/34.94 tff(28809,plain,
% 54.78/34.94 ((~v130(constB151, 2)) | v127(constB151, 2)),
% 54.78/34.94 inference(unit_resolution,[status(thm)],[28808, 1981, 28755])).
% 54.78/34.94 tff(28810,plain,
% 54.78/34.94 (v127(constB151, 2)),
% 54.78/34.94 inference(unit_resolution,[status(thm)],[28809, 28805])).
% 54.78/34.94 tff(28811,plain,
% 54.78/34.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB151, constB152)) | (~v127(constB151, 2)) | v129(constB152, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB151, constB152)) | (~v127(constB151, 2)) | v129(constB152, 2))),
% 54.78/34.94 inference(rewrite,[status(thm)],[])).
% 54.78/34.94 tff(28812,plain,
% 54.78/34.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB151, constB152)) | (~v127(constB151, 2)) | v129(constB152, 2))),
% 54.78/34.94 inference(quant_inst,[status(thm)],[])).
% 54.78/34.94 tff(28813,plain,
% 54.78/34.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB151, constB152)) | (~v127(constB151, 2)) | v129(constB152, 2)),
% 54.78/34.94 inference(modus_ponens,[status(thm)],[28812, 28811])).
% 54.78/34.94 tff(28814,plain,
% 54.78/34.94 ((~v127(constB151, 2)) | v129(constB152, 2)),
% 54.78/34.94 inference(unit_resolution,[status(thm)],[28813, 1999, 28770])).
% 54.78/34.94 tff(28815,plain,
% 54.78/34.94 (v129(constB152, 2)),
% 54.78/34.94 inference(unit_resolution,[status(thm)],[28814, 28810])).
% 54.78/34.94 tff(28816,plain,
% 54.78/34.94 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB152, 2) | (~v129(constB152, 2)) | (~v100(constB152)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB152, 2) | (~v129(constB152, 2)) | (~v100(constB152)))),
% 54.78/34.94 inference(rewrite,[status(thm)],[])).
% 54.78/34.94 tff(28817,plain,
% 54.78/34.94 ((v90(constB152, 2) | (~v100(constB152)) | (~v129(constB152, 2))) <=> (v90(constB152, 2) | (~v129(constB152, 2)) | (~v100(constB152)))),
% 54.78/34.94 inference(rewrite,[status(thm)],[])).
% 54.78/34.94 tff(28818,plain,
% 54.78/34.94 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB152, 2) | (~v100(constB152)) | (~v129(constB152, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB152, 2) | (~v129(constB152, 2)) | (~v100(constB152))))),
% 54.78/34.94 inference(monotonicity,[status(thm)],[28817])).
% 54.78/34.94 tff(28819,plain,
% 54.78/34.94 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB152, 2) | (~v100(constB152)) | (~v129(constB152, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB152, 2) | (~v129(constB152, 2)) | (~v100(constB152)))),
% 54.78/34.94 inference(transitivity,[status(thm)],[28818, 28816])).
% 54.78/34.94 tff(28820,plain,
% 54.78/34.94 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB152, 2) | (~v100(constB152)) | (~v129(constB152, 2)))),
% 54.78/34.94 inference(quant_inst,[status(thm)],[])).
% 54.78/34.94 tff(28821,plain,
% 54.78/34.94 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB152, 2) | (~v129(constB152, 2)) | (~v100(constB152))),
% 54.78/34.94 inference(modus_ponens,[status(thm)],[28820, 28819])).
% 54.78/34.94 tff(28822,plain,
% 54.78/34.94 (v90(constB152, 2) | (~v100(constB152))),
% 54.78/34.94 inference(unit_resolution,[status(thm)],[28821, 2324, 28815])).
% 54.78/34.94 tff(28823,plain,
% 54.78/34.94 (v90(constB152, 2)),
% 54.78/34.94 inference(unit_resolution,[status(thm)],[28822, 28801])).
% 54.78/34.94 tff(28824,plain,
% 54.78/34.94 ((~v1(constB153)) <=> (~v1(constB153))),
% 54.78/34.94 inference(rewrite,[status(thm)],[])).
% 54.78/34.94 tff(28825,axiom,(~v1(constB153)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_153_1_1')).
% 54.78/34.94 tff(28826,plain,
% 54.78/34.94 (~v1(constB153)),
% 54.78/34.94 inference(modus_ponens,[status(thm)],[28825, 28824])).
% 54.78/34.94 tff(28827,plain,
% 54.78/34.94 (nextState(constB152, constB153) <=> nextState(constB152, constB153)),
% 54.78/34.94 inference(rewrite,[status(thm)],[])).
% 54.78/34.94 tff(28828,axiom,(nextState(constB152, constB153)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_152_1')).
% 54.78/34.94 tff(28829,plain,
% 54.78/34.94 (nextState(constB152, constB153)),
% 54.78/34.94 inference(modus_ponens,[status(thm)],[28828, 28827])).
% 54.78/34.94 tff(28830,plain,
% 54.78/34.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153)))),
% 54.78/34.94 inference(rewrite,[status(thm)],[])).
% 54.78/34.94 tff(28831,plain,
% 54.78/34.94 (((~nextState(constB152, constB153)) | (~v101(constB153)) | v1(constB153)) <=> (v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153)))),
% 54.78/34.94 inference(rewrite,[status(thm)],[])).
% 54.78/34.94 tff(28832,plain,
% 54.78/34.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB152, constB153)) | (~v101(constB153)) | v1(constB153))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153))))),
% 54.78/34.94 inference(monotonicity,[status(thm)],[28831])).
% 54.78/34.94 tff(28833,plain,
% 54.78/34.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB152, constB153)) | (~v101(constB153)) | v1(constB153))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153)))),
% 54.78/34.94 inference(transitivity,[status(thm)],[28832, 28830])).
% 54.78/34.94 tff(28834,plain,
% 54.78/34.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB152, constB153)) | (~v101(constB153)) | v1(constB153))),
% 54.78/34.94 inference(quant_inst,[status(thm)],[])).
% 54.78/34.94 tff(28835,plain,
% 54.78/34.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB153) | (~nextState(constB152, constB153)) | (~v101(constB153))),
% 54.78/34.94 inference(modus_ponens,[status(thm)],[28834, 28833])).
% 54.78/34.94 tff(28836,plain,
% 54.78/34.94 (~v101(constB153)),
% 54.78/34.94 inference(unit_resolution,[status(thm)],[28835, 873, 28829, 28826])).
% 54.78/34.94 tff(28837,plain,
% 54.78/34.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB152, constB153)) | v101(constB153) | (~v100(constB153)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB152, constB153)) | v101(constB153) | (~v100(constB153)))),
% 54.78/34.95 inference(rewrite,[status(thm)],[])).
% 54.78/34.95 tff(28838,plain,
% 54.78/34.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB152, constB153)) | v101(constB153) | (~v100(constB153)))),
% 54.78/34.95 inference(quant_inst,[status(thm)],[])).
% 54.78/34.95 tff(28839,plain,
% 54.78/34.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB152, constB153)) | v101(constB153) | (~v100(constB153))),
% 54.78/34.95 inference(modus_ponens,[status(thm)],[28838, 28837])).
% 54.78/34.95 tff(28840,plain,
% 54.78/34.95 (v101(constB153) | (~v100(constB153))),
% 54.78/34.95 inference(unit_resolution,[status(thm)],[28839, 890, 28829])).
% 54.78/34.95 tff(28841,plain,
% 54.78/34.95 (~v100(constB153)),
% 54.78/34.95 inference(unit_resolution,[status(thm)],[28840, 28836])).
% 54.78/34.95 tff(28842,plain,
% 54.78/34.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB152, 2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB152, 2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, 2))),
% 54.78/34.95 inference(rewrite,[status(thm)],[])).
% 54.78/34.95 tff(28843,plain,
% 54.78/34.95 (((~nextState(constB152, constB153)) | (~v90(constB152, 2)) | v100(constB153) | v90(constB153, 2)) <=> ((~v90(constB152, 2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, 2))),
% 54.78/34.95 inference(rewrite,[status(thm)],[])).
% 54.78/34.95 tff(28844,plain,
% 54.78/34.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB152, constB153)) | (~v90(constB152, 2)) | v100(constB153) | v90(constB153, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB152, 2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, 2)))),
% 54.78/34.95 inference(monotonicity,[status(thm)],[28843])).
% 54.78/34.95 tff(28845,plain,
% 54.78/34.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB152, constB153)) | (~v90(constB152, 2)) | v100(constB153) | v90(constB153, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB152, 2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, 2))),
% 54.78/34.95 inference(transitivity,[status(thm)],[28844, 28842])).
% 54.78/34.95 tff(28846,plain,
% 54.78/34.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB152, constB153)) | (~v90(constB152, 2)) | v100(constB153) | v90(constB153, 2))),
% 54.78/34.95 inference(quant_inst,[status(thm)],[])).
% 54.78/34.95 tff(28847,plain,
% 54.78/34.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB152, 2)) | (~nextState(constB152, constB153)) | v100(constB153) | v90(constB153, 2)),
% 54.78/34.95 inference(modus_ponens,[status(thm)],[28846, 28845])).
% 54.78/34.95 tff(28848,plain,
% 54.78/34.95 ((~v90(constB152, 2)) | v100(constB153) | v90(constB153, 2)),
% 54.78/34.95 inference(unit_resolution,[status(thm)],[28847, 2174, 28829])).
% 54.78/34.95 tff(28849,plain,
% 54.78/34.95 ((~v90(constB152, 2)) | v90(constB153, 2)),
% 54.78/34.95 inference(unit_resolution,[status(thm)],[28848, 28841])).
% 54.78/34.95 tff(28850,plain,
% 54.78/34.95 (v90(constB153, 2)),
% 54.78/34.95 inference(unit_resolution,[status(thm)],[28849, 28823])).
% 54.78/34.95 tff(28851,plain,
% 54.78/34.95 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB151)) | (~v130(constB151, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB151)) | (~v130(constB151, 1)))),
% 54.78/34.95 inference(rewrite,[status(thm)],[])).
% 54.78/34.95 tff(28852,plain,
% 54.78/34.95 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB151)) | (~v130(constB151, 1)))),
% 54.78/34.95 inference(quant_inst,[status(thm)],[])).
% 54.78/34.95 tff(28853,plain,
% 54.78/34.95 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB151)) | (~v130(constB151, 1))),
% 54.78/34.95 inference(modus_ponens,[status(thm)],[28852, 28851])).
% 54.78/34.95 tff(28854,plain,
% 54.78/34.95 (~v130(constB151, 1)),
% 54.78/34.95 inference(unit_resolution,[status(thm)],[28853, 2366, 28729])).
% 54.78/34.95 tff(28855,plain,
% 54.78/34.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB151, 1)) | v26(constB151) | v130(constB151, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB151, 1)) | v26(constB151) | v130(constB151, 1))),
% 54.78/34.95 inference(rewrite,[status(thm)],[])).
% 54.78/34.95 tff(28856,plain,
% 54.78/34.95 ((v26(constB151) | v130(constB151, 1) | (~v127(constB151, 1))) <=> ((~v127(constB151, 1)) | v26(constB151) | v130(constB151, 1))),
% 54.78/34.95 inference(rewrite,[status(thm)],[])).
% 54.78/34.95 tff(28857,plain,
% 54.78/34.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB151) | v130(constB151, 1) | (~v127(constB151, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB151, 1)) | v26(constB151) | v130(constB151, 1)))),
% 54.78/34.95 inference(monotonicity,[status(thm)],[28856])).
% 54.78/34.95 tff(28858,plain,
% 54.78/34.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB151) | v130(constB151, 1) | (~v127(constB151, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB151, 1)) | v26(constB151) | v130(constB151, 1))),
% 54.78/34.95 inference(transitivity,[status(thm)],[28857, 28855])).
% 54.78/34.95 tff(28859,plain,
% 54.78/34.95 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB151) | v130(constB151, 1) | (~v127(constB151, 1)))),
% 54.78/34.95 inference(quant_inst,[status(thm)],[])).
% 54.78/34.95 tff(28860,plain,
% 54.78/34.95 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB151, 1)) | v26(constB151) | v130(constB151, 1)),
% 54.78/34.95 inference(modus_ponens,[status(thm)],[28859, 28858])).
% 54.78/34.95 tff(28861,plain,
% 54.78/34.95 ((~v127(constB151, 1)) | v130(constB151, 1)),
% 54.78/34.95 inference(unit_resolution,[status(thm)],[28860, 1276, 28755])).
% 54.78/34.95 tff(28862,plain,
% 54.78/34.95 (~v127(constB151, 1)),
% 54.78/34.95 inference(unit_resolution,[status(thm)],[28861, 28854])).
% 54.78/34.95 tff(28863,plain,
% 54.78/34.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB151, constB152)) | v127(constB151, 1) | (~v129(constB152, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB151, constB152)) | v127(constB151, 1) | (~v129(constB152, 1)))),
% 54.78/34.95 inference(rewrite,[status(thm)],[])).
% 54.78/34.95 tff(28864,plain,
% 54.78/34.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB151, constB152)) | v127(constB151, 1) | (~v129(constB152, 1)))),
% 54.78/34.95 inference(quant_inst,[status(thm)],[])).
% 54.78/34.95 tff(28865,plain,
% 54.78/34.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB151, constB152)) | v127(constB151, 1) | (~v129(constB152, 1))),
% 54.78/34.95 inference(modus_ponens,[status(thm)],[28864, 28863])).
% 54.78/34.95 tff(28866,plain,
% 54.78/34.95 (v127(constB151, 1) | (~v129(constB152, 1))),
% 54.78/34.95 inference(unit_resolution,[status(thm)],[28865, 1294, 28770])).
% 54.78/34.95 tff(28867,plain,
% 54.78/34.95 (~v129(constB152, 1)),
% 54.78/34.95 inference(unit_resolution,[status(thm)],[28866, 28862])).
% 54.78/34.95 tff(28868,plain,
% 54.78/34.95 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB152, 1)) | v129(constB152, 1) | (~v100(constB152)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB152, 1)) | v129(constB152, 1) | (~v100(constB152)))),
% 54.78/34.95 inference(rewrite,[status(thm)],[])).
% 54.78/34.95 tff(28869,plain,
% 54.78/34.95 (((~v90(constB152, 1)) | (~v100(constB152)) | v129(constB152, 1)) <=> ((~v90(constB152, 1)) | v129(constB152, 1) | (~v100(constB152)))),
% 54.78/34.95 inference(rewrite,[status(thm)],[])).
% 54.78/34.95 tff(28870,plain,
% 54.78/34.95 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB152, 1)) | (~v100(constB152)) | v129(constB152, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB152, 1)) | v129(constB152, 1) | (~v100(constB152))))),
% 54.78/34.95 inference(monotonicity,[status(thm)],[28869])).
% 54.78/34.95 tff(28871,plain,
% 54.78/34.95 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB152, 1)) | (~v100(constB152)) | v129(constB152, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB152, 1)) | v129(constB152, 1) | (~v100(constB152)))),
% 54.78/34.95 inference(transitivity,[status(thm)],[28870, 28868])).
% 54.78/34.95 tff(28872,plain,
% 54.78/34.95 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB152, 1)) | (~v100(constB152)) | v129(constB152, 1))),
% 54.78/34.95 inference(quant_inst,[status(thm)],[])).
% 54.78/34.95 tff(28873,plain,
% 54.78/34.95 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB152, 1)) | v129(constB152, 1) | (~v100(constB152))),
% 54.78/34.95 inference(modus_ponens,[status(thm)],[28872, 28871])).
% 54.78/34.95 tff(28874,plain,
% 54.78/34.95 ((~v90(constB152, 1)) | (~v100(constB152))),
% 54.78/34.95 inference(unit_resolution,[status(thm)],[28873, 1309, 28867])).
% 54.78/34.95 tff(28875,plain,
% 54.78/34.95 (~v90(constB152, 1)),
% 54.78/34.95 inference(unit_resolution,[status(thm)],[28874, 28801])).
% 54.78/34.95 tff(28876,plain,
% 54.78/34.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB152, 1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB152, 1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, 1)))),
% 54.78/34.95 inference(rewrite,[status(thm)],[])).
% 54.78/34.95 tff(28877,plain,
% 54.78/34.95 (((~nextState(constB152, constB153)) | v90(constB152, 1) | v100(constB153) | (~v90(constB153, 1))) <=> (v90(constB152, 1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, 1)))),
% 54.78/34.95 inference(rewrite,[status(thm)],[])).
% 54.78/34.95 tff(28878,plain,
% 54.78/34.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB152, constB153)) | v90(constB152, 1) | v100(constB153) | (~v90(constB153, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB152, 1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, 1))))),
% 54.78/34.95 inference(monotonicity,[status(thm)],[28877])).
% 54.78/34.95 tff(28879,plain,
% 54.78/34.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB152, constB153)) | v90(constB152, 1) | v100(constB153) | (~v90(constB153, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB152, 1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, 1)))),
% 54.78/34.95 inference(transitivity,[status(thm)],[28878, 28876])).
% 54.78/34.95 tff(28880,plain,
% 54.78/34.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB152, constB153)) | v90(constB152, 1) | v100(constB153) | (~v90(constB153, 1)))),
% 54.79/34.95 inference(quant_inst,[status(thm)],[])).
% 54.79/34.95 tff(28881,plain,
% 54.79/34.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB152, 1) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, 1))),
% 54.79/34.95 inference(modus_ponens,[status(thm)],[28880, 28879])).
% 54.79/34.95 tff(28882,plain,
% 54.79/34.95 (v90(constB152, 1) | v100(constB153) | (~v90(constB153, 1))),
% 54.79/34.95 inference(unit_resolution,[status(thm)],[28881, 926, 28829])).
% 54.79/34.95 tff(28883,plain,
% 54.79/34.95 (v90(constB152, 1) | (~v90(constB153, 1))),
% 54.79/34.95 inference(unit_resolution,[status(thm)],[28882, 28841])).
% 54.79/34.95 tff(28884,plain,
% 54.79/34.95 (~v90(constB153, 1)),
% 54.79/34.95 inference(unit_resolution,[status(thm)],[28883, 28875])).
% 54.79/34.95 tff(28885,plain,
% 54.79/34.95 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB151)) | (~v130(constB151, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB151)) | (~v130(constB151, 0)))),
% 54.79/34.95 inference(rewrite,[status(thm)],[])).
% 54.79/34.95 tff(28886,plain,
% 54.79/34.95 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB151)) | (~v130(constB151, 0)))),
% 54.79/34.95 inference(quant_inst,[status(thm)],[])).
% 54.79/34.95 tff(28887,plain,
% 54.79/34.95 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB151)) | (~v130(constB151, 0))),
% 54.79/34.95 inference(modus_ponens,[status(thm)],[28886, 28885])).
% 54.79/34.95 tff(28888,plain,
% 54.79/34.95 (~v130(constB151, 0)),
% 54.79/34.95 inference(unit_resolution,[status(thm)],[28887, 2407, 28729])).
% 54.79/34.95 tff(28889,plain,
% 54.79/34.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB151, 0)) | v26(constB151) | v130(constB151, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB151, 0)) | v26(constB151) | v130(constB151, 0))),
% 54.79/34.95 inference(rewrite,[status(thm)],[])).
% 54.79/34.95 tff(28890,plain,
% 54.79/34.95 ((v26(constB151) | v130(constB151, 0) | (~v127(constB151, 0))) <=> ((~v127(constB151, 0)) | v26(constB151) | v130(constB151, 0))),
% 54.79/34.95 inference(rewrite,[status(thm)],[])).
% 54.79/34.95 tff(28891,plain,
% 54.79/34.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB151) | v130(constB151, 0) | (~v127(constB151, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB151, 0)) | v26(constB151) | v130(constB151, 0)))),
% 54.79/34.95 inference(monotonicity,[status(thm)],[28890])).
% 54.79/34.95 tff(28892,plain,
% 54.79/34.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB151) | v130(constB151, 0) | (~v127(constB151, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB151, 0)) | v26(constB151) | v130(constB151, 0))),
% 54.79/34.95 inference(transitivity,[status(thm)],[28891, 28889])).
% 54.79/34.95 tff(28893,plain,
% 54.79/34.95 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB151) | v130(constB151, 0) | (~v127(constB151, 0)))),
% 54.79/34.95 inference(quant_inst,[status(thm)],[])).
% 54.79/34.95 tff(28894,plain,
% 54.79/34.95 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB151, 0)) | v26(constB151) | v130(constB151, 0)),
% 54.79/34.95 inference(modus_ponens,[status(thm)],[28893, 28892])).
% 54.79/34.95 tff(28895,plain,
% 54.79/34.95 ((~v127(constB151, 0)) | v130(constB151, 0)),
% 54.79/34.95 inference(unit_resolution,[status(thm)],[28894, 1671, 28755])).
% 54.79/34.95 tff(28896,plain,
% 54.79/34.95 (~v127(constB151, 0)),
% 54.79/34.95 inference(unit_resolution,[status(thm)],[28895, 28888])).
% 54.79/34.95 tff(28897,plain,
% 54.79/34.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB151, constB152)) | v127(constB151, 0) | (~v129(constB152, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB151, constB152)) | v127(constB151, 0) | (~v129(constB152, 0)))),
% 54.79/34.95 inference(rewrite,[status(thm)],[])).
% 54.79/34.95 tff(28898,plain,
% 54.79/34.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB151, constB152)) | v127(constB151, 0) | (~v129(constB152, 0)))),
% 54.79/34.95 inference(quant_inst,[status(thm)],[])).
% 54.79/34.95 tff(28899,plain,
% 54.79/34.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB151, constB152)) | v127(constB151, 0) | (~v129(constB152, 0))),
% 54.79/34.95 inference(modus_ponens,[status(thm)],[28898, 28897])).
% 54.79/34.95 tff(28900,plain,
% 54.79/34.95 (v127(constB151, 0) | (~v129(constB152, 0))),
% 54.79/34.95 inference(unit_resolution,[status(thm)],[28899, 1689, 28770])).
% 54.79/34.95 tff(28901,plain,
% 54.79/34.95 (~v129(constB152, 0)),
% 54.79/34.95 inference(unit_resolution,[status(thm)],[28900, 28896])).
% 54.79/34.95 tff(28902,plain,
% 54.79/34.95 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB152, 0)) | v129(constB152, 0) | (~v100(constB152)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB152, 0)) | v129(constB152, 0) | (~v100(constB152)))),
% 54.79/34.95 inference(rewrite,[status(thm)],[])).
% 54.79/34.95 tff(28903,plain,
% 54.79/34.95 (((~v90(constB152, 0)) | (~v100(constB152)) | v129(constB152, 0)) <=> ((~v90(constB152, 0)) | v129(constB152, 0) | (~v100(constB152)))),
% 54.79/34.95 inference(rewrite,[status(thm)],[])).
% 54.79/34.95 tff(28904,plain,
% 54.79/34.95 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB152, 0)) | (~v100(constB152)) | v129(constB152, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB152, 0)) | v129(constB152, 0) | (~v100(constB152))))),
% 54.79/34.95 inference(monotonicity,[status(thm)],[28903])).
% 54.79/34.95 tff(28905,plain,
% 54.79/34.95 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB152, 0)) | (~v100(constB152)) | v129(constB152, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB152, 0)) | v129(constB152, 0) | (~v100(constB152)))),
% 54.79/34.95 inference(transitivity,[status(thm)],[28904, 28902])).
% 54.79/34.95 tff(28906,plain,
% 54.79/34.95 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB152, 0)) | (~v100(constB152)) | v129(constB152, 0))),
% 54.79/34.95 inference(quant_inst,[status(thm)],[])).
% 54.79/34.95 tff(28907,plain,
% 54.79/34.95 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB152, 0)) | v129(constB152, 0) | (~v100(constB152))),
% 54.79/34.95 inference(modus_ponens,[status(thm)],[28906, 28905])).
% 54.79/34.95 tff(28908,plain,
% 54.79/34.95 ((~v90(constB152, 0)) | (~v100(constB152))),
% 54.79/34.95 inference(unit_resolution,[status(thm)],[28907, 1704, 28901])).
% 54.79/34.95 tff(28909,plain,
% 54.79/34.95 (~v90(constB152, 0)),
% 54.79/34.95 inference(unit_resolution,[status(thm)],[28908, 28801])).
% 54.79/34.95 tff(28910,plain,
% 54.79/34.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB152, 0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB152, 0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, 0)))),
% 54.79/34.95 inference(rewrite,[status(thm)],[])).
% 54.79/34.95 tff(28911,plain,
% 54.79/34.95 (((~nextState(constB152, constB153)) | v90(constB152, 0) | v100(constB153) | (~v90(constB153, 0))) <=> (v90(constB152, 0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, 0)))),
% 54.79/34.95 inference(rewrite,[status(thm)],[])).
% 54.79/34.95 tff(28912,plain,
% 54.79/34.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB152, constB153)) | v90(constB152, 0) | v100(constB153) | (~v90(constB153, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB152, 0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, 0))))),
% 54.79/34.95 inference(monotonicity,[status(thm)],[28911])).
% 54.79/34.95 tff(28913,plain,
% 54.79/34.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB152, constB153)) | v90(constB152, 0) | v100(constB153) | (~v90(constB153, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB152, 0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, 0)))),
% 54.79/34.95 inference(transitivity,[status(thm)],[28912, 28910])).
% 54.79/34.95 tff(28914,plain,
% 54.79/34.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB152, constB153)) | v90(constB152, 0) | v100(constB153) | (~v90(constB153, 0)))),
% 54.79/34.95 inference(quant_inst,[status(thm)],[])).
% 54.79/34.95 tff(28915,plain,
% 54.79/34.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB152, 0) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, 0))),
% 54.79/34.95 inference(modus_ponens,[status(thm)],[28914, 28913])).
% 54.79/34.95 tff(28916,plain,
% 54.79/34.95 (v90(constB152, 0) | v100(constB153) | (~v90(constB153, 0))),
% 54.79/34.95 inference(unit_resolution,[status(thm)],[28915, 947, 28829])).
% 54.79/34.95 tff(28917,plain,
% 54.79/34.95 (v90(constB152, 0) | (~v90(constB153, 0))),
% 54.79/34.95 inference(unit_resolution,[status(thm)],[28916, 28841])).
% 54.79/34.95 tff(28918,plain,
% 54.79/34.95 (~v90(constB153, 0)),
% 54.79/34.95 inference(unit_resolution,[status(thm)],[28917, 28909])).
% 54.79/34.95 tff(28919,plain,
% 54.79/34.95 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB153, 0) | v90(constB153, 1) | (~v90(constB153, 2)) | v123(constB153))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB153, 0) | v90(constB153, 1) | (~v90(constB153, 2)) | v123(constB153))),
% 54.79/34.95 inference(rewrite,[status(thm)],[])).
% 54.79/34.95 tff(28920,plain,
% 54.79/34.95 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB153, 0) | v90(constB153, 1) | (~v90(constB153, 2)) | v123(constB153))),
% 54.79/34.95 inference(quant_inst,[status(thm)],[])).
% 54.79/34.95 tff(28921,plain,
% 54.79/34.95 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB153, 0) | v90(constB153, 1) | (~v90(constB153, 2)) | v123(constB153)),
% 54.79/34.95 inference(modus_ponens,[status(thm)],[28920, 28919])).
% 54.79/34.95 tff(28922,plain,
% 54.79/34.95 (v123(constB153)),
% 54.79/34.95 inference(unit_resolution,[status(thm)],[28921, 2308, 28918, 28884, 28850])).
% 54.79/34.95 tff(28923,plain,
% 54.79/34.95 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB153)) | v130(constB153, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB153)) | v130(constB153, 0))),
% 54.79/34.95 inference(rewrite,[status(thm)],[])).
% 54.79/34.95 tff(28924,plain,
% 54.79/34.95 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB153)) | v130(constB153, 0))),
% 54.79/34.95 inference(quant_inst,[status(thm)],[])).
% 54.79/34.95 tff(28925,plain,
% 54.79/34.95 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB153)) | v130(constB153, 0)),
% 54.79/34.95 inference(modus_ponens,[status(thm)],[28924, 28923])).
% 54.79/34.95 tff(28926,plain,
% 54.79/34.95 (v130(constB153, 0)),
% 54.79/34.95 inference(unit_resolution,[status(thm)],[28925, 2622, 28922])).
% 54.79/34.95 tff(28927,assumption,(v26(constB153)), introduced(assumption)).
% 54.79/34.95 tff(28928,plain,
% 54.79/34.95 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB153))),
% 54.79/34.95 inference(quant_inst,[status(thm)],[])).
% 54.79/34.95 tff(28929,plain,
% 54.79/34.95 ($false),
% 54.79/34.95 inference(unit_resolution,[status(thm)],[28928, 828, 28927])).
% 54.79/34.95 tff(28930,plain,(~v26(constB153)), inference(lemma,lemma(discharge,[]))).
% 54.79/34.95 tff(28931,plain,
% 54.79/34.95 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB153) | (~v130(constB153, 0)) | v127(constB153, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB153) | (~v130(constB153, 0)) | v127(constB153, 0))),
% 54.79/34.95 inference(rewrite,[status(thm)],[])).
% 54.79/34.95 tff(28932,plain,
% 54.79/34.95 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB153) | (~v130(constB153, 0)) | v127(constB153, 0))),
% 54.79/34.95 inference(quant_inst,[status(thm)],[])).
% 54.79/34.95 tff(28933,plain,
% 54.79/34.95 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB153) | (~v130(constB153, 0)) | v127(constB153, 0)),
% 54.79/34.95 inference(modus_ponens,[status(thm)],[28932, 28931])).
% 54.79/34.95 tff(28934,plain,
% 54.79/34.95 ((~v130(constB153, 0)) | v127(constB153, 0)),
% 54.79/34.95 inference(unit_resolution,[status(thm)],[28933, 1347, 28930])).
% 54.79/34.95 tff(28935,plain,
% 54.79/34.95 (v127(constB153, 0)),
% 54.79/34.95 inference(unit_resolution,[status(thm)],[28934, 28926])).
% 54.79/34.95 tff(28936,plain,
% 54.79/34.95 (nextState(constB153, constB154) <=> nextState(constB153, constB154)),
% 54.79/34.95 inference(rewrite,[status(thm)],[])).
% 54.79/34.95 tff(28937,axiom,(nextState(constB153, constB154)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_153_1')).
% 54.79/34.95 tff(28938,plain,
% 54.79/34.95 (nextState(constB153, constB154)),
% 54.79/34.95 inference(modus_ponens,[status(thm)],[28937, 28936])).
% 54.79/34.95 tff(28939,plain,
% 54.79/34.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB153, constB154)) | (~v127(constB153, 0)) | v129(constB154, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB153, constB154)) | (~v127(constB153, 0)) | v129(constB154, 0))),
% 54.79/34.95 inference(rewrite,[status(thm)],[])).
% 54.79/34.95 tff(28940,plain,
% 54.79/34.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB153, constB154)) | (~v127(constB153, 0)) | v129(constB154, 0))),
% 54.79/34.95 inference(quant_inst,[status(thm)],[])).
% 54.79/34.95 tff(28941,plain,
% 54.79/34.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB153, constB154)) | (~v127(constB153, 0)) | v129(constB154, 0)),
% 54.79/34.95 inference(modus_ponens,[status(thm)],[28940, 28939])).
% 54.79/34.95 tff(28942,plain,
% 54.79/34.95 ((~v127(constB153, 0)) | v129(constB154, 0)),
% 54.79/34.95 inference(unit_resolution,[status(thm)],[28941, 1362, 28938])).
% 54.79/34.95 tff(28943,plain,
% 54.79/34.95 (v129(constB154, 0)),
% 54.79/34.95 inference(unit_resolution,[status(thm)],[28942, 28935])).
% 54.79/34.95 tff(28944,assumption,(~v113(constB153)), introduced(assumption)).
% 54.79/34.95 tff(28945,plain,
% 54.79/34.95 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB153) | (~v114(constB153)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB153) | (~v114(constB153)))),
% 54.79/34.95 inference(rewrite,[status(thm)],[])).
% 54.79/34.95 tff(28946,plain,
% 54.79/34.95 (((~v114(constB153)) | v113(constB153)) <=> (v113(constB153) | (~v114(constB153)))),
% 54.79/34.95 inference(rewrite,[status(thm)],[])).
% 54.79/34.95 tff(28947,plain,
% 54.79/34.95 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB153)) | v113(constB153))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB153) | (~v114(constB153))))),
% 54.79/34.95 inference(monotonicity,[status(thm)],[28946])).
% 54.79/34.95 tff(28948,plain,
% 54.79/34.95 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB153)) | v113(constB153))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB153) | (~v114(constB153)))),
% 54.79/34.95 inference(transitivity,[status(thm)],[28947, 28945])).
% 54.79/34.95 tff(28949,plain,
% 54.79/34.95 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB153)) | v113(constB153))),
% 54.79/34.95 inference(quant_inst,[status(thm)],[])).
% 54.79/34.95 tff(28950,plain,
% 54.79/34.95 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB153) | (~v114(constB153))),
% 54.79/34.95 inference(modus_ponens,[status(thm)],[28949, 28948])).
% 54.79/34.95 tff(28951,plain,
% 54.79/34.95 (~v114(constB153)),
% 54.79/34.95 inference(unit_resolution,[status(thm)],[28950, 1049, 28944])).
% 54.79/34.95 tff(28952,plain,
% 54.79/34.95 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB153)) | v114(constB153))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB153)) | v114(constB153))),
% 54.79/34.95 inference(rewrite,[status(thm)],[])).
% 54.79/34.95 tff(28953,plain,
% 54.79/34.95 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB153)) | v114(constB153))),
% 54.79/34.95 inference(quant_inst,[status(thm)],[])).
% 54.79/34.95 tff(28954,plain,
% 54.79/34.95 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (~v115(constB153)) | v114(constB153)),
% 54.79/34.95 inference(modus_ponens,[status(thm)],[28953, 28952])).
% 54.79/34.95 tff(28955,plain,
% 54.79/34.95 (~v115(constB153)),
% 54.79/34.95 inference(unit_resolution,[status(thm)],[28954, 1035, 28951])).
% 54.79/34.95 tff(28956,plain,
% 54.79/34.95 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB153)) | v115(constB153))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB153)) | v115(constB153))),
% 54.79/34.95 inference(rewrite,[status(thm)],[])).
% 54.79/34.95 tff(28957,plain,
% 54.79/34.95 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB153)) | v115(constB153))),
% 54.79/34.95 inference(quant_inst,[status(thm)],[])).
% 54.79/34.95 tff(28958,plain,
% 54.79/34.95 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB153)) | v115(constB153)),
% 54.79/34.95 inference(modus_ponens,[status(thm)],[28957, 28956])).
% 54.79/34.95 tff(28959,plain,
% 54.79/34.95 (~v123(constB153)),
% 54.79/34.95 inference(unit_resolution,[status(thm)],[28958, 2291, 28955])).
% 54.79/34.95 tff(28960,plain,
% 54.79/34.95 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB153) | (~v116(constB153)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB153) | (~v116(constB153)))),
% 54.79/34.95 inference(rewrite,[status(thm)],[])).
% 54.79/34.95 tff(28961,plain,
% 54.79/34.95 (((~v116(constB153)) | v115(constB153)) <=> (v115(constB153) | (~v116(constB153)))),
% 54.79/34.95 inference(rewrite,[status(thm)],[])).
% 54.79/34.95 tff(28962,plain,
% 54.79/34.95 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB153)) | v115(constB153))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB153) | (~v116(constB153))))),
% 54.79/34.95 inference(monotonicity,[status(thm)],[28961])).
% 54.79/34.95 tff(28963,plain,
% 54.79/34.95 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB153)) | v115(constB153))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB153) | (~v116(constB153)))),
% 54.79/34.95 inference(transitivity,[status(thm)],[28962, 28960])).
% 54.79/34.95 tff(28964,plain,
% 54.79/34.95 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB153)) | v115(constB153))),
% 54.79/34.95 inference(quant_inst,[status(thm)],[])).
% 54.79/34.95 tff(28965,plain,
% 54.79/34.95 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB153) | (~v116(constB153))),
% 54.79/34.95 inference(modus_ponens,[status(thm)],[28964, 28963])).
% 54.79/34.95 tff(28966,plain,
% 54.79/34.95 (~v116(constB153)),
% 54.79/34.95 inference(unit_resolution,[status(thm)],[28965, 1021, 28955])).
% 54.79/34.95 tff(28967,plain,
% 54.79/34.95 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB153) | (~v117(constB153)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB153) | (~v117(constB153)))),
% 54.79/34.95 inference(rewrite,[status(thm)],[])).
% 54.79/34.95 tff(28968,plain,
% 54.79/34.95 (((~v117(constB153)) | v116(constB153)) <=> (v116(constB153) | (~v117(constB153)))),
% 54.79/34.95 inference(rewrite,[status(thm)],[])).
% 54.79/34.95 tff(28969,plain,
% 54.79/34.95 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB153)) | v116(constB153))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB153) | (~v117(constB153))))),
% 54.79/34.95 inference(monotonicity,[status(thm)],[28968])).
% 54.79/34.95 tff(28970,plain,
% 54.79/34.95 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB153)) | v116(constB153))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB153) | (~v117(constB153)))),
% 54.79/34.95 inference(transitivity,[status(thm)],[28969, 28967])).
% 54.79/34.95 tff(28971,plain,
% 54.79/34.95 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB153)) | v116(constB153))),
% 54.79/34.95 inference(quant_inst,[status(thm)],[])).
% 54.79/34.95 tff(28972,plain,
% 54.79/34.95 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB153) | (~v117(constB153))),
% 54.79/34.95 inference(modus_ponens,[status(thm)],[28971, 28970])).
% 54.79/34.95 tff(28973,plain,
% 54.79/34.95 (~v117(constB153)),
% 54.79/34.95 inference(unit_resolution,[status(thm)],[28972, 1007, 28966])).
% 54.79/34.95 tff(28974,plain,
% 54.79/34.95 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB153)) | v117(constB153))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB153)) | v117(constB153))),
% 54.79/34.95 inference(rewrite,[status(thm)],[])).
% 54.79/34.95 tff(28975,plain,
% 54.79/34.95 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB153)) | v117(constB153))),
% 54.79/34.95 inference(quant_inst,[status(thm)],[])).
% 54.79/34.95 tff(28976,plain,
% 54.79/34.95 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB153)) | v117(constB153)),
% 54.79/34.95 inference(modus_ponens,[status(thm)],[28975, 28974])).
% 54.79/34.95 tff(28977,plain,
% 54.79/34.95 (~v121(constB153)),
% 54.79/34.95 inference(unit_resolution,[status(thm)],[28976, 1742, 28973])).
% 54.79/34.95 tff(28978,assumption,(~v90(constB153, 0)), introduced(assumption)).
% 54.79/34.95 tff(28979,plain,
% 54.79/34.95 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB153) | (~v118(constB153)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB153) | (~v118(constB153)))),
% 54.79/34.95 inference(rewrite,[status(thm)],[])).
% 54.79/34.95 tff(28980,plain,
% 54.79/34.95 (((~v118(constB153)) | v117(constB153)) <=> (v117(constB153) | (~v118(constB153)))),
% 54.79/34.95 inference(rewrite,[status(thm)],[])).
% 54.79/34.95 tff(28981,plain,
% 54.79/34.95 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB153)) | v117(constB153))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB153) | (~v118(constB153))))),
% 54.79/34.95 inference(monotonicity,[status(thm)],[28980])).
% 54.79/34.95 tff(28982,plain,
% 54.79/34.95 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB153)) | v117(constB153))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB153) | (~v118(constB153)))),
% 54.79/34.95 inference(transitivity,[status(thm)],[28981, 28979])).
% 54.79/34.95 tff(28983,plain,
% 54.79/34.95 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB153)) | v117(constB153))),
% 54.79/34.95 inference(quant_inst,[status(thm)],[])).
% 54.79/34.95 tff(28984,plain,
% 54.79/34.95 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB153) | (~v118(constB153))),
% 54.79/34.95 inference(modus_ponens,[status(thm)],[28983, 28982])).
% 54.79/34.95 tff(28985,plain,
% 54.79/34.95 (~v118(constB153)),
% 54.79/34.95 inference(unit_resolution,[status(thm)],[28984, 993, 28973])).
% 54.79/34.95 tff(28986,plain,
% 54.79/34.95 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB153)) | v118(constB153))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB153)) | v118(constB153))),
% 54.79/34.95 inference(rewrite,[status(thm)],[])).
% 54.79/34.95 tff(28987,plain,
% 54.79/34.95 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB153)) | v118(constB153))),
% 54.79/34.95 inference(quant_inst,[status(thm)],[])).
% 54.79/34.95 tff(28988,plain,
% 54.79/34.95 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB153)) | v118(constB153)),
% 54.79/34.95 inference(modus_ponens,[status(thm)],[28987, 28986])).
% 54.79/34.95 tff(28989,plain,
% 54.79/34.95 (~v119(constB153)),
% 54.79/34.95 inference(unit_resolution,[status(thm)],[28988, 982, 28985])).
% 54.79/34.95 tff(28990,assumption,(~v119(constB153)), introduced(assumption)).
% 54.79/34.95 tff(28991,assumption,(~v90(constB153, 2)), introduced(assumption)).
% 54.79/34.95 tff(28992,assumption,(~v121(constB153)), introduced(assumption)).
% 54.79/34.95 tff(28993,plain,
% 54.79/34.95 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB153, 0) | (~v90(constB153, 1)) | v90(constB153, 2) | v121(constB153))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB153, 0) | (~v90(constB153, 1)) | v90(constB153, 2) | v121(constB153))),
% 54.79/34.95 inference(rewrite,[status(thm)],[])).
% 54.79/34.95 tff(28994,plain,
% 54.79/34.95 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB153, 0) | (~v90(constB153, 1)) | v90(constB153, 2) | v121(constB153))),
% 54.79/34.95 inference(quant_inst,[status(thm)],[])).
% 54.79/34.95 tff(28995,plain,
% 54.79/34.95 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB153, 0) | (~v90(constB153, 1)) | v90(constB153, 2) | v121(constB153)),
% 54.79/34.95 inference(modus_ponens,[status(thm)],[28994, 28993])).
% 54.79/34.95 tff(28996,plain,
% 54.79/34.95 ((~v90(constB153, 1)) | v90(constB153, 2) | v121(constB153)),
% 54.79/34.95 inference(unit_resolution,[status(thm)],[28995, 1731, 28978])).
% 54.79/34.95 tff(28997,plain,
% 54.79/34.95 (~v90(constB153, 1)),
% 54.79/34.95 inference(unit_resolution,[status(thm)],[28996, 28991, 28992])).
% 54.79/34.95 tff(28998,plain,
% 54.79/34.95 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB153, 0) | v90(constB153, 1) | v90(constB153, 2) | v119(constB153))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB153, 0) | v90(constB153, 1) | v90(constB153, 2) | v119(constB153))),
% 54.79/34.95 inference(rewrite,[status(thm)],[])).
% 54.79/34.95 tff(28999,plain,
% 54.79/34.95 ((v90(constB153, 0) | v119(constB153) | v90(constB153, 1) | v90(constB153, 2)) <=> (v90(constB153, 0) | v90(constB153, 1) | v90(constB153, 2) | v119(constB153))),
% 54.79/34.95 inference(rewrite,[status(thm)],[])).
% 54.79/34.95 tff(29000,plain,
% 54.79/34.95 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB153, 0) | v119(constB153) | v90(constB153, 1) | v90(constB153, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB153, 0) | v90(constB153, 1) | v90(constB153, 2) | v119(constB153)))),
% 54.79/34.95 inference(monotonicity,[status(thm)],[28999])).
% 54.79/34.95 tff(29001,plain,
% 54.79/34.95 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB153, 0) | v119(constB153) | v90(constB153, 1) | v90(constB153, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB153, 0) | v90(constB153, 1) | v90(constB153, 2) | v119(constB153))),
% 54.79/34.95 inference(transitivity,[status(thm)],[29000, 28998])).
% 54.79/34.95 tff(29002,plain,
% 54.79/34.95 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB153, 0) | v119(constB153) | v90(constB153, 1) | v90(constB153, 2))),
% 54.79/34.95 inference(quant_inst,[status(thm)],[])).
% 54.79/34.95 tff(29003,plain,
% 54.79/34.95 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB153, 0) | v90(constB153, 1) | v90(constB153, 2) | v119(constB153)),
% 54.79/34.95 inference(modus_ponens,[status(thm)],[29002, 29001])).
% 54.79/34.95 tff(29004,plain,
% 54.79/34.95 (v90(constB153, 1) | v90(constB153, 2) | v119(constB153)),
% 54.79/34.95 inference(unit_resolution,[status(thm)],[29003, 968, 28978])).
% 54.79/34.95 tff(29005,plain,
% 54.79/34.95 ($false),
% 54.79/34.95 inference(unit_resolution,[status(thm)],[29004, 28997, 28991, 28990])).
% 54.79/34.95 tff(29006,plain,(v90(constB153, 2) | v119(constB153) | v90(constB153, 0) | v121(constB153)), inference(lemma,lemma(discharge,[]))).
% 54.79/34.95 tff(29007,plain,
% 54.79/34.95 (v90(constB153, 2)),
% 54.79/34.95 inference(unit_resolution,[status(thm)],[29006, 28989, 28978, 28977])).
% 54.79/34.95 tff(29008,plain,
% 54.79/34.95 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB153)) | v113(constB153))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB153)) | v113(constB153))),
% 54.79/34.95 inference(rewrite,[status(thm)],[])).
% 54.79/34.95 tff(29009,plain,
% 54.79/34.95 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB153)) | v113(constB153))),
% 54.79/34.95 inference(quant_inst,[status(thm)],[])).
% 54.79/34.95 tff(29010,plain,
% 54.79/34.95 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB153)) | v113(constB153)),
% 54.79/34.95 inference(modus_ponens,[status(thm)],[29009, 29008])).
% 54.79/34.95 tff(29011,plain,
% 54.79/34.95 (~v125(constB153)),
% 54.79/34.95 inference(unit_resolution,[status(thm)],[29010, 2262, 28944])).
% 54.79/34.95 tff(29012,plain,
% 54.79/34.95 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB153, 0) | (~v90(constB153, 1)) | (~v90(constB153, 2)) | v125(constB153))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB153, 0) | (~v90(constB153, 1)) | (~v90(constB153, 2)) | v125(constB153))),
% 54.79/34.95 inference(rewrite,[status(thm)],[])).
% 54.79/34.95 tff(29013,plain,
% 54.79/34.95 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB153, 0) | (~v90(constB153, 1)) | (~v90(constB153, 2)) | v125(constB153))),
% 54.79/34.95 inference(quant_inst,[status(thm)],[])).
% 54.79/34.95 tff(29014,plain,
% 54.79/34.95 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB153, 0) | (~v90(constB153, 1)) | (~v90(constB153, 2)) | v125(constB153)),
% 54.79/34.95 inference(modus_ponens,[status(thm)],[29013, 29012])).
% 54.79/34.95 tff(29015,plain,
% 54.79/34.95 ((~v90(constB153, 1)) | (~v90(constB153, 2)) | v125(constB153)),
% 54.79/34.95 inference(unit_resolution,[status(thm)],[29014, 2279, 28978])).
% 54.79/34.95 tff(29016,plain,
% 54.79/34.95 (~v90(constB153, 1)),
% 54.79/34.95 inference(unit_resolution,[status(thm)],[29015, 29007, 29011])).
% 54.79/34.95 tff(29017,plain,
% 54.79/34.95 (v90(constB153, 1) | (~v90(constB153, 2)) | v123(constB153)),
% 54.79/34.95 inference(unit_resolution,[status(thm)],[28921, 2308, 28978])).
% 54.79/34.95 tff(29018,plain,
% 54.79/34.95 ($false),
% 54.79/34.95 inference(unit_resolution,[status(thm)],[29017, 29016, 29007, 28959])).
% 54.79/34.95 tff(29019,plain,(v113(constB153) | v90(constB153, 0)), inference(lemma,lemma(discharge,[]))).
% 54.79/34.95 tff(29020,plain,
% 54.79/34.95 (v113(constB153)),
% 54.79/34.95 inference(unit_resolution,[status(thm)],[29019, 28918])).
% 54.79/34.95 tff(29021,plain,
% 54.79/34.95 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB153) | (~v113(constB153)) | v112(constB153))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB153) | (~v113(constB153)) | v112(constB153))),
% 54.79/34.95 inference(rewrite,[status(thm)],[])).
% 54.79/34.95 tff(29022,plain,
% 54.79/34.95 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB153) | (~v113(constB153)) | v112(constB153))),
% 54.79/34.95 inference(quant_inst,[status(thm)],[])).
% 54.79/34.95 tff(29023,plain,
% 54.79/34.95 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB153) | (~v113(constB153)) | v112(constB153)),
% 54.79/34.95 inference(modus_ponens,[status(thm)],[29022, 29021])).
% 54.79/34.95 tff(29024,plain,
% 54.79/34.95 ((~v113(constB153)) | v112(constB153)),
% 54.79/34.95 inference(unit_resolution,[status(thm)],[29023, 1063, 28930])).
% 54.79/34.95 tff(29025,plain,
% 54.79/34.95 (v112(constB153)),
% 54.79/34.95 inference(unit_resolution,[status(thm)],[29024, 29020])).
% 54.79/34.95 tff(29026,plain,
% 54.79/34.95 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB153) | (~v112(constB153)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB153) | (~v112(constB153)))),
% 54.79/34.95 inference(rewrite,[status(thm)],[])).
% 54.79/34.95 tff(29027,plain,
% 54.79/34.95 (((~v112(constB153)) | v108(constB153)) <=> (v108(constB153) | (~v112(constB153)))),
% 54.79/34.95 inference(rewrite,[status(thm)],[])).
% 54.79/34.95 tff(29028,plain,
% 54.79/34.95 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB153)) | v108(constB153))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB153) | (~v112(constB153))))),
% 54.79/34.95 inference(monotonicity,[status(thm)],[29027])).
% 54.79/34.95 tff(29029,plain,
% 54.79/34.95 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB153)) | v108(constB153))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB153) | (~v112(constB153)))),
% 54.79/34.95 inference(transitivity,[status(thm)],[29028, 29026])).
% 54.79/34.95 tff(29030,plain,
% 54.79/34.95 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB153)) | v108(constB153))),
% 54.79/34.95 inference(quant_inst,[status(thm)],[])).
% 54.79/34.95 tff(29031,plain,
% 54.79/34.95 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB153) | (~v112(constB153))),
% 54.79/34.95 inference(modus_ponens,[status(thm)],[29030, 29029])).
% 54.79/34.96 tff(29032,plain,
% 54.79/34.96 (v108(constB153)),
% 54.79/34.96 inference(unit_resolution,[status(thm)],[29031, 1075, 29025])).
% 54.79/34.96 tff(29033,plain,
% 54.79/34.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153)))),
% 54.79/34.96 inference(rewrite,[status(thm)],[])).
% 54.79/34.96 tff(29034,plain,
% 54.79/34.96 (((~nextState(constB153, constB154)) | (~v108(constB153)) | v110(constB154)) <=> ((~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153)))),
% 54.79/34.96 inference(rewrite,[status(thm)],[])).
% 54.79/34.96 tff(29035,plain,
% 54.79/34.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB153, constB154)) | (~v108(constB153)) | v110(constB154))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153))))),
% 54.79/34.96 inference(monotonicity,[status(thm)],[29034])).
% 54.79/34.96 tff(29036,plain,
% 54.79/34.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB153, constB154)) | (~v108(constB153)) | v110(constB154))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153)))),
% 54.79/34.96 inference(transitivity,[status(thm)],[29035, 29033])).
% 54.79/34.96 tff(29037,plain,
% 54.79/34.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB153, constB154)) | (~v108(constB153)) | v110(constB154))),
% 54.79/34.96 inference(quant_inst,[status(thm)],[])).
% 54.79/34.96 tff(29038,plain,
% 54.79/34.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB153, constB154)) | v110(constB154) | (~v108(constB153))),
% 54.79/34.96 inference(modus_ponens,[status(thm)],[29037, 29036])).
% 54.79/34.96 tff(29039,plain,
% 54.79/34.96 (v110(constB154) | (~v108(constB153))),
% 54.79/34.96 inference(unit_resolution,[status(thm)],[29038, 1095, 28938])).
% 54.79/34.96 tff(29040,plain,
% 54.79/34.96 (v110(constB154)),
% 54.79/34.96 inference(unit_resolution,[status(thm)],[29039, 29032])).
% 54.79/34.96 tff(29041,plain,
% 54.79/34.96 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB153) | (~nextState(constB153, constB154)) | (~v104(constB154)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB153) | (~nextState(constB153, constB154)) | (~v104(constB154)))),
% 54.79/34.96 inference(rewrite,[status(thm)],[])).
% 54.79/34.96 tff(29042,plain,
% 54.79/34.96 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB153) | (~nextState(constB153, constB154)) | (~v104(constB154)))),
% 54.79/34.96 inference(quant_inst,[status(thm)],[])).
% 54.79/34.96 tff(29043,plain,
% 54.79/34.96 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB153) | (~nextState(constB153, constB154)) | (~v104(constB154))),
% 54.79/34.96 inference(modus_ponens,[status(thm)],[29042, 29041])).
% 54.79/34.96 tff(29044,plain,
% 54.79/34.96 (~v104(constB154)),
% 54.79/34.96 inference(unit_resolution,[status(thm)],[29043, 1113, 28938, 28826])).
% 54.79/34.96 tff(29045,plain,
% 54.79/34.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB153, constB154)) | v102(constB154) | v104(constB154))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB153, constB154)) | v102(constB154) | v104(constB154))),
% 54.79/34.96 inference(rewrite,[status(thm)],[])).
% 54.79/34.96 tff(29046,plain,
% 54.79/34.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB153, constB154)) | v102(constB154) | v104(constB154))),
% 54.79/34.96 inference(quant_inst,[status(thm)],[])).
% 54.79/34.96 tff(29047,plain,
% 54.79/34.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB153, constB154)) | v102(constB154) | v104(constB154)),
% 54.79/34.96 inference(modus_ponens,[status(thm)],[29046, 29045])).
% 54.79/34.96 tff(29048,plain,
% 54.79/34.96 (v102(constB154) | v104(constB154)),
% 54.79/34.96 inference(unit_resolution,[status(thm)],[29047, 1127, 28938])).
% 54.79/34.96 tff(29049,plain,
% 54.79/34.96 (v102(constB154)),
% 54.79/34.96 inference(unit_resolution,[status(thm)],[29048, 29044])).
% 54.79/34.96 tff(29050,plain,
% 54.79/34.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB153, constB154)) | v101(constB154) | (~v102(constB154)) | (~v1(constB154)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB153, constB154)) | v101(constB154) | (~v102(constB154)) | (~v1(constB154)))),
% 54.79/34.96 inference(rewrite,[status(thm)],[])).
% 54.79/34.96 tff(29051,plain,
% 54.79/34.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB153, constB154)) | v101(constB154) | (~v102(constB154)) | (~v1(constB154)))),
% 54.79/34.96 inference(quant_inst,[status(thm)],[])).
% 54.79/34.96 tff(29052,plain,
% 54.79/34.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB153, constB154)) | v101(constB154) | (~v102(constB154)) | (~v1(constB154))),
% 54.79/34.96 inference(modus_ponens,[status(thm)],[29051, 29050])).
% 54.79/34.96 tff(29053,plain,
% 54.79/34.96 (v101(constB154) | (~v102(constB154))),
% 54.79/34.96 inference(unit_resolution,[status(thm)],[29052, 1145, 28938, 134])).
% 54.79/34.96 tff(29054,plain,
% 54.79/34.96 (v101(constB154)),
% 54.79/34.96 inference(unit_resolution,[status(thm)],[29053, 29049])).
% 54.79/34.96 tff(29055,plain,
% 54.79/34.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154)))),
% 54.79/34.96 inference(rewrite,[status(thm)],[])).
% 54.79/34.96 tff(29056,plain,
% 54.79/34.96 (((~nextState(constB153, constB154)) | (~v101(constB154)) | (~v110(constB154)) | v100(constB154)) <=> ((~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154)))),
% 54.79/34.96 inference(rewrite,[status(thm)],[])).
% 54.79/34.96 tff(29057,plain,
% 54.79/34.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB153, constB154)) | (~v101(constB154)) | (~v110(constB154)) | v100(constB154))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154))))),
% 54.79/34.96 inference(monotonicity,[status(thm)],[29056])).
% 54.79/34.96 tff(29058,plain,
% 54.79/34.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB153, constB154)) | (~v101(constB154)) | (~v110(constB154)) | v100(constB154))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154)))),
% 54.79/34.96 inference(transitivity,[status(thm)],[29057, 29055])).
% 54.79/34.96 tff(29059,plain,
% 54.79/34.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB153, constB154)) | (~v101(constB154)) | (~v110(constB154)) | v100(constB154))),
% 54.79/34.96 inference(quant_inst,[status(thm)],[])).
% 54.79/34.96 tff(29060,plain,
% 54.79/34.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB153, constB154)) | v100(constB154) | (~v101(constB154)) | (~v110(constB154))),
% 54.79/34.96 inference(modus_ponens,[status(thm)],[29059, 29058])).
% 54.79/34.96 tff(29061,plain,
% 54.79/34.96 (v100(constB154) | (~v101(constB154)) | (~v110(constB154))),
% 54.79/34.96 inference(unit_resolution,[status(thm)],[29060, 1160, 28938])).
% 54.79/34.96 tff(29062,plain,
% 54.79/34.96 (v100(constB154) | (~v110(constB154))),
% 54.79/34.96 inference(unit_resolution,[status(thm)],[29061, 29054])).
% 54.79/34.96 tff(29063,plain,
% 54.79/34.96 (v100(constB154)),
% 54.79/34.96 inference(unit_resolution,[status(thm)],[29062, 29040])).
% 54.79/34.96 tff(29064,plain,
% 54.79/34.96 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB154, 0) | (~v129(constB154, 0)) | (~v100(constB154)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB154, 0) | (~v129(constB154, 0)) | (~v100(constB154)))),
% 54.79/34.96 inference(rewrite,[status(thm)],[])).
% 54.79/34.96 tff(29065,plain,
% 54.79/34.96 ((v90(constB154, 0) | (~v100(constB154)) | (~v129(constB154, 0))) <=> (v90(constB154, 0) | (~v129(constB154, 0)) | (~v100(constB154)))),
% 54.79/34.96 inference(rewrite,[status(thm)],[])).
% 54.79/34.96 tff(29066,plain,
% 54.79/34.96 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB154, 0) | (~v100(constB154)) | (~v129(constB154, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB154, 0) | (~v129(constB154, 0)) | (~v100(constB154))))),
% 54.79/34.96 inference(monotonicity,[status(thm)],[29065])).
% 54.79/34.96 tff(29067,plain,
% 54.79/34.96 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB154, 0) | (~v100(constB154)) | (~v129(constB154, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB154, 0) | (~v129(constB154, 0)) | (~v100(constB154)))),
% 54.79/34.96 inference(transitivity,[status(thm)],[29066, 29064])).
% 54.79/34.96 tff(29068,plain,
% 54.79/34.96 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB154, 0) | (~v100(constB154)) | (~v129(constB154, 0)))),
% 54.79/34.96 inference(quant_inst,[status(thm)],[])).
% 54.79/34.96 tff(29069,plain,
% 54.79/34.96 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB154, 0) | (~v129(constB154, 0)) | (~v100(constB154))),
% 54.79/34.96 inference(modus_ponens,[status(thm)],[29068, 29067])).
% 54.79/34.96 tff(29070,plain,
% 54.79/34.96 (v90(constB154, 0) | (~v129(constB154, 0))),
% 54.79/34.96 inference(unit_resolution,[status(thm)],[29069, 1377, 29063])).
% 54.79/34.96 tff(29071,plain,
% 54.79/34.96 (v90(constB154, 0)),
% 54.79/34.96 inference(unit_resolution,[status(thm)],[29070, 28943])).
% 54.79/34.96 tff(29072,plain,
% 54.79/34.96 ((~v1(constB155)) <=> (~v1(constB155))),
% 54.79/34.96 inference(rewrite,[status(thm)],[])).
% 54.79/34.96 tff(29073,axiom,(~v1(constB155)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_155_1_1')).
% 54.79/34.96 tff(29074,plain,
% 54.79/34.96 (~v1(constB155)),
% 54.79/34.96 inference(modus_ponens,[status(thm)],[29073, 29072])).
% 54.79/34.96 tff(29075,plain,
% 54.79/34.96 (nextState(constB154, constB155) <=> nextState(constB154, constB155)),
% 54.79/34.96 inference(rewrite,[status(thm)],[])).
% 54.79/34.96 tff(29076,axiom,(nextState(constB154, constB155)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_154_1')).
% 54.79/34.96 tff(29077,plain,
% 54.79/34.96 (nextState(constB154, constB155)),
% 54.79/34.96 inference(modus_ponens,[status(thm)],[29076, 29075])).
% 54.79/34.96 tff(29078,plain,
% 54.79/34.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155)))),
% 54.79/34.96 inference(rewrite,[status(thm)],[])).
% 54.79/34.96 tff(29079,plain,
% 54.79/34.96 (((~nextState(constB154, constB155)) | (~v101(constB155)) | v1(constB155)) <=> (v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155)))),
% 54.79/34.96 inference(rewrite,[status(thm)],[])).
% 54.79/34.96 tff(29080,plain,
% 54.79/34.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB154, constB155)) | (~v101(constB155)) | v1(constB155))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155))))),
% 54.79/34.96 inference(monotonicity,[status(thm)],[29079])).
% 54.79/34.96 tff(29081,plain,
% 54.79/34.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB154, constB155)) | (~v101(constB155)) | v1(constB155))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155)))),
% 54.79/34.96 inference(transitivity,[status(thm)],[29080, 29078])).
% 54.79/34.96 tff(29082,plain,
% 54.79/34.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB154, constB155)) | (~v101(constB155)) | v1(constB155))),
% 54.79/34.96 inference(quant_inst,[status(thm)],[])).
% 54.79/34.96 tff(29083,plain,
% 54.79/34.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB155) | (~nextState(constB154, constB155)) | (~v101(constB155))),
% 54.79/34.96 inference(modus_ponens,[status(thm)],[29082, 29081])).
% 54.79/34.96 tff(29084,plain,
% 54.79/34.96 (~v101(constB155)),
% 54.79/34.96 inference(unit_resolution,[status(thm)],[29083, 873, 29077, 29074])).
% 54.79/34.96 tff(29085,plain,
% 54.79/34.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB154, constB155)) | v101(constB155) | (~v100(constB155)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB154, constB155)) | v101(constB155) | (~v100(constB155)))),
% 54.79/34.96 inference(rewrite,[status(thm)],[])).
% 54.79/34.96 tff(29086,plain,
% 54.79/34.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB154, constB155)) | v101(constB155) | (~v100(constB155)))),
% 54.79/34.96 inference(quant_inst,[status(thm)],[])).
% 54.79/34.96 tff(29087,plain,
% 54.79/34.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB154, constB155)) | v101(constB155) | (~v100(constB155))),
% 54.79/34.96 inference(modus_ponens,[status(thm)],[29086, 29085])).
% 54.79/34.96 tff(29088,plain,
% 54.79/34.96 (v101(constB155) | (~v100(constB155))),
% 54.79/34.96 inference(unit_resolution,[status(thm)],[29087, 890, 29077])).
% 54.79/34.96 tff(29089,plain,
% 54.79/34.96 (~v100(constB155)),
% 54.79/34.96 inference(unit_resolution,[status(thm)],[29088, 29084])).
% 54.79/34.96 tff(29090,plain,
% 54.79/34.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB154, 0)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB154, 0)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, 0))),
% 54.79/34.96 inference(rewrite,[status(thm)],[])).
% 54.79/34.96 tff(29091,plain,
% 54.79/34.96 (((~nextState(constB154, constB155)) | (~v90(constB154, 0)) | v100(constB155) | v90(constB155, 0)) <=> ((~v90(constB154, 0)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, 0))),
% 54.79/34.96 inference(rewrite,[status(thm)],[])).
% 54.79/34.96 tff(29092,plain,
% 54.79/34.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB154, constB155)) | (~v90(constB154, 0)) | v100(constB155) | v90(constB155, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB154, 0)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, 0)))),
% 54.79/34.96 inference(monotonicity,[status(thm)],[29091])).
% 54.79/34.96 tff(29093,plain,
% 54.79/34.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB154, constB155)) | (~v90(constB154, 0)) | v100(constB155) | v90(constB155, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB154, 0)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, 0))),
% 54.79/34.96 inference(transitivity,[status(thm)],[29092, 29090])).
% 54.79/34.96 tff(29094,plain,
% 54.79/34.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB154, constB155)) | (~v90(constB154, 0)) | v100(constB155) | v90(constB155, 0))),
% 54.79/34.96 inference(quant_inst,[status(thm)],[])).
% 54.79/34.96 tff(29095,plain,
% 54.79/34.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB154, 0)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, 0)),
% 54.79/34.96 inference(modus_ponens,[status(thm)],[29094, 29093])).
% 54.79/34.96 tff(29096,plain,
% 54.79/34.96 ((~v90(constB154, 0)) | v100(constB155) | v90(constB155, 0)),
% 54.79/34.96 inference(unit_resolution,[status(thm)],[29095, 1395, 29077])).
% 54.79/34.96 tff(29097,plain,
% 54.79/34.96 ((~v90(constB154, 0)) | v90(constB155, 0)),
% 54.79/34.96 inference(unit_resolution,[status(thm)],[29096, 29089])).
% 54.79/34.96 tff(29098,plain,
% 54.79/34.96 (v90(constB155, 0)),
% 54.79/34.96 inference(unit_resolution,[status(thm)],[29097, 29071])).
% 54.79/34.96 tff(29099,plain,
% 54.79/34.96 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v123(constB155)) | (~v90(constB155, 0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | (~v123(constB155)) | (~v90(constB155, 0)))),
% 54.79/34.96 inference(rewrite,[status(thm)],[])).
% 54.79/34.96 tff(29100,plain,
% 54.79/34.96 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v123(constB155)) | (~v90(constB155, 0)))),
% 54.79/34.96 inference(quant_inst,[status(thm)],[])).
% 54.79/34.96 tff(29101,plain,
% 54.79/34.96 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | (~v123(constB155)) | (~v90(constB155, 0))),
% 54.79/34.96 inference(modus_ponens,[status(thm)],[29100, 29099])).
% 54.79/34.96 tff(29102,plain,
% 54.79/34.96 (~v123(constB155)),
% 54.79/34.96 inference(unit_resolution,[status(thm)],[29101, 5887, 29098])).
% 54.79/34.96 tff(29103,assumption,(~v100(constB158)), introduced(assumption)).
% 54.79/34.96 tff(29104,plain,
% 54.79/34.96 ((~v1(constB157)) <=> (~v1(constB157))),
% 54.79/34.96 inference(rewrite,[status(thm)],[])).
% 54.79/34.96 tff(29105,axiom,(~v1(constB157)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_157_1_1')).
% 54.79/34.96 tff(29106,plain,
% 54.79/34.96 (~v1(constB157)),
% 54.79/34.96 inference(modus_ponens,[status(thm)],[29105, 29104])).
% 54.79/34.96 tff(29107,plain,
% 54.79/34.96 (nextState(constB157, constB158) <=> nextState(constB157, constB158)),
% 54.79/34.96 inference(rewrite,[status(thm)],[])).
% 54.79/34.96 tff(29108,axiom,(nextState(constB157, constB158)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_157_1')).
% 54.79/34.96 tff(29109,plain,
% 54.79/34.96 (nextState(constB157, constB158)),
% 54.79/34.96 inference(modus_ponens,[status(thm)],[29108, 29107])).
% 54.79/34.96 tff(29110,plain,
% 54.79/34.96 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB157) | (~nextState(constB157, constB158)) | (~v104(constB158)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB157) | (~nextState(constB157, constB158)) | (~v104(constB158)))),
% 54.79/34.96 inference(rewrite,[status(thm)],[])).
% 54.79/34.96 tff(29111,plain,
% 54.79/34.96 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB157) | (~nextState(constB157, constB158)) | (~v104(constB158)))),
% 54.79/34.96 inference(quant_inst,[status(thm)],[])).
% 54.79/34.96 tff(29112,plain,
% 54.79/34.96 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB157) | (~nextState(constB157, constB158)) | (~v104(constB158))),
% 54.79/34.96 inference(modus_ponens,[status(thm)],[29111, 29110])).
% 54.79/34.96 tff(29113,plain,
% 54.79/34.96 (~v104(constB158)),
% 54.79/34.96 inference(unit_resolution,[status(thm)],[29112, 1113, 29109, 29106])).
% 54.79/34.96 tff(29114,plain,
% 54.79/34.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB157, constB158)) | v102(constB158) | v104(constB158))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB157, constB158)) | v102(constB158) | v104(constB158))),
% 54.79/34.96 inference(rewrite,[status(thm)],[])).
% 54.79/34.96 tff(29115,plain,
% 54.79/34.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB157, constB158)) | v102(constB158) | v104(constB158))),
% 54.79/34.96 inference(quant_inst,[status(thm)],[])).
% 54.79/34.96 tff(29116,plain,
% 54.79/34.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB157, constB158)) | v102(constB158) | v104(constB158)),
% 54.79/34.96 inference(modus_ponens,[status(thm)],[29115, 29114])).
% 54.79/34.96 tff(29117,plain,
% 54.79/34.96 (v102(constB158) | v104(constB158)),
% 54.79/34.96 inference(unit_resolution,[status(thm)],[29116, 1127, 29109])).
% 54.79/34.96 tff(29118,plain,
% 54.79/34.96 (v102(constB158)),
% 54.79/34.96 inference(unit_resolution,[status(thm)],[29117, 29113])).
% 54.79/34.96 tff(29119,plain,
% 54.79/34.96 (v1(constB158) <=> v1(constB158)),
% 54.79/34.96 inference(rewrite,[status(thm)],[])).
% 54.79/34.96 tff(29120,axiom,(v1(constB158)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_158_1')).
% 54.79/34.96 tff(29121,plain,
% 54.79/34.96 (v1(constB158)),
% 54.79/34.96 inference(modus_ponens,[status(thm)],[29120, 29119])).
% 54.79/34.96 tff(29122,plain,
% 54.79/34.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB157, constB158)) | v101(constB158) | (~v102(constB158)) | (~v1(constB158)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB157, constB158)) | v101(constB158) | (~v102(constB158)) | (~v1(constB158)))),
% 54.79/34.96 inference(rewrite,[status(thm)],[])).
% 54.79/34.96 tff(29123,plain,
% 54.79/34.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB157, constB158)) | v101(constB158) | (~v102(constB158)) | (~v1(constB158)))),
% 54.79/34.96 inference(quant_inst,[status(thm)],[])).
% 54.79/34.96 tff(29124,plain,
% 54.79/34.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB157, constB158)) | v101(constB158) | (~v102(constB158)) | (~v1(constB158))),
% 54.79/34.96 inference(modus_ponens,[status(thm)],[29123, 29122])).
% 54.79/34.96 tff(29125,plain,
% 54.79/34.96 (v101(constB158) | (~v102(constB158))),
% 54.79/34.96 inference(unit_resolution,[status(thm)],[29124, 1145, 29109, 29121])).
% 54.79/34.96 tff(29126,plain,
% 54.79/34.96 (v101(constB158)),
% 54.79/34.96 inference(unit_resolution,[status(thm)],[29125, 29118])).
% 54.79/34.96 tff(29127,plain,
% 54.79/34.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158)))),
% 54.79/34.96 inference(rewrite,[status(thm)],[])).
% 54.79/34.96 tff(29128,plain,
% 54.79/34.96 (((~nextState(constB157, constB158)) | (~v101(constB158)) | (~v110(constB158)) | v100(constB158)) <=> ((~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158)))),
% 54.79/34.96 inference(rewrite,[status(thm)],[])).
% 54.79/34.96 tff(29129,plain,
% 54.79/34.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB157, constB158)) | (~v101(constB158)) | (~v110(constB158)) | v100(constB158))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158))))),
% 54.79/34.96 inference(monotonicity,[status(thm)],[29128])).
% 54.79/34.96 tff(29130,plain,
% 54.79/34.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB157, constB158)) | (~v101(constB158)) | (~v110(constB158)) | v100(constB158))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158)))),
% 54.79/34.96 inference(transitivity,[status(thm)],[29129, 29127])).
% 54.79/34.96 tff(29131,plain,
% 54.79/34.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB157, constB158)) | (~v101(constB158)) | (~v110(constB158)) | v100(constB158))),
% 54.79/34.96 inference(quant_inst,[status(thm)],[])).
% 54.79/34.96 tff(29132,plain,
% 54.79/34.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB157, constB158)) | v100(constB158) | (~v101(constB158)) | (~v110(constB158))),
% 54.79/34.96 inference(modus_ponens,[status(thm)],[29131, 29130])).
% 54.79/34.96 tff(29133,plain,
% 54.79/34.96 (v100(constB158) | (~v101(constB158)) | (~v110(constB158))),
% 54.79/34.96 inference(unit_resolution,[status(thm)],[29132, 1160, 29109])).
% 54.79/34.96 tff(29134,plain,
% 54.79/34.96 (v100(constB158) | (~v110(constB158))),
% 54.79/34.96 inference(unit_resolution,[status(thm)],[29133, 29126])).
% 54.79/34.96 tff(29135,plain,
% 54.79/34.96 (~v110(constB158)),
% 54.79/34.96 inference(unit_resolution,[status(thm)],[29134, 29103])).
% 54.79/34.96 tff(29136,plain,
% 54.79/34.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157)))),
% 54.79/34.96 inference(rewrite,[status(thm)],[])).
% 54.79/34.96 tff(29137,plain,
% 54.79/34.96 (((~nextState(constB157, constB158)) | (~v108(constB157)) | v110(constB158)) <=> ((~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157)))),
% 54.79/34.96 inference(rewrite,[status(thm)],[])).
% 54.79/34.96 tff(29138,plain,
% 54.79/34.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB157, constB158)) | (~v108(constB157)) | v110(constB158))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157))))),
% 54.79/34.96 inference(monotonicity,[status(thm)],[29137])).
% 54.79/34.96 tff(29139,plain,
% 54.79/34.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB157, constB158)) | (~v108(constB157)) | v110(constB158))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157)))),
% 54.79/34.96 inference(transitivity,[status(thm)],[29138, 29136])).
% 54.79/34.96 tff(29140,plain,
% 54.79/34.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB157, constB158)) | (~v108(constB157)) | v110(constB158))),
% 54.79/34.96 inference(quant_inst,[status(thm)],[])).
% 54.79/34.96 tff(29141,plain,
% 54.79/34.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB157, constB158)) | v110(constB158) | (~v108(constB157))),
% 54.79/34.96 inference(modus_ponens,[status(thm)],[29140, 29139])).
% 54.79/34.96 tff(29142,plain,
% 54.79/34.96 (v110(constB158) | (~v108(constB157))),
% 54.79/34.96 inference(unit_resolution,[status(thm)],[29141, 1095, 29109])).
% 54.79/34.96 tff(29143,plain,
% 54.79/34.96 (~v108(constB157)),
% 54.79/34.96 inference(unit_resolution,[status(thm)],[29142, 29135])).
% 54.79/34.96 tff(29144,plain,
% 54.79/34.96 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB157) | (~v112(constB157)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB157) | (~v112(constB157)))),
% 54.79/34.96 inference(rewrite,[status(thm)],[])).
% 54.79/34.96 tff(29145,plain,
% 54.79/34.96 (((~v112(constB157)) | v108(constB157)) <=> (v108(constB157) | (~v112(constB157)))),
% 54.79/34.96 inference(rewrite,[status(thm)],[])).
% 54.79/34.96 tff(29146,plain,
% 54.79/34.96 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB157)) | v108(constB157))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB157) | (~v112(constB157))))),
% 54.79/34.96 inference(monotonicity,[status(thm)],[29145])).
% 54.79/34.96 tff(29147,plain,
% 54.79/34.96 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB157)) | v108(constB157))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB157) | (~v112(constB157)))),
% 54.79/34.96 inference(transitivity,[status(thm)],[29146, 29144])).
% 54.79/34.96 tff(29148,plain,
% 54.79/34.96 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB157)) | v108(constB157))),
% 54.79/34.96 inference(quant_inst,[status(thm)],[])).
% 54.79/34.96 tff(29149,plain,
% 54.79/34.96 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB157) | (~v112(constB157))),
% 54.79/34.96 inference(modus_ponens,[status(thm)],[29148, 29147])).
% 54.79/34.96 tff(29150,plain,
% 54.79/34.96 (~v112(constB157)),
% 54.79/34.96 inference(unit_resolution,[status(thm)],[29149, 1075, 29143])).
% 54.79/34.96 tff(29151,plain,
% 54.79/34.96 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB157) | (~v26(constB157)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB157) | (~v26(constB157)))),
% 54.79/34.96 inference(rewrite,[status(thm)],[])).
% 54.79/34.96 tff(29152,plain,
% 54.79/34.96 (((~v26(constB157)) | v108(constB157)) <=> (v108(constB157) | (~v26(constB157)))),
% 54.79/34.96 inference(rewrite,[status(thm)],[])).
% 54.79/34.96 tff(29153,plain,
% 54.79/34.96 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB157)) | v108(constB157))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB157) | (~v26(constB157))))),
% 54.79/34.96 inference(monotonicity,[status(thm)],[29152])).
% 54.79/34.96 tff(29154,plain,
% 54.79/34.96 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB157)) | v108(constB157))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB157) | (~v26(constB157)))),
% 54.79/34.96 inference(transitivity,[status(thm)],[29153, 29151])).
% 54.79/34.96 tff(29155,plain,
% 54.79/34.96 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB157)) | v108(constB157))),
% 54.79/34.96 inference(quant_inst,[status(thm)],[])).
% 54.79/34.96 tff(29156,plain,
% 54.79/34.96 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB157) | (~v26(constB157))),
% 54.79/34.96 inference(modus_ponens,[status(thm)],[29155, 29154])).
% 54.79/34.96 tff(29157,plain,
% 54.79/34.96 (~v26(constB157)),
% 54.79/34.96 inference(unit_resolution,[status(thm)],[29156, 2050, 29143])).
% 54.79/34.96 tff(29158,plain,
% 54.79/34.96 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB157) | v112(constB157) | (~v113(constB157)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB157) | v112(constB157) | (~v113(constB157)))),
% 54.79/34.96 inference(rewrite,[status(thm)],[])).
% 54.79/34.96 tff(29159,plain,
% 54.79/34.96 ((v26(constB157) | (~v113(constB157)) | v112(constB157)) <=> (v26(constB157) | v112(constB157) | (~v113(constB157)))),
% 54.79/34.96 inference(rewrite,[status(thm)],[])).
% 54.79/34.96 tff(29160,plain,
% 54.79/34.96 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB157) | (~v113(constB157)) | v112(constB157))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB157) | v112(constB157) | (~v113(constB157))))),
% 54.79/34.96 inference(monotonicity,[status(thm)],[29159])).
% 54.79/34.96 tff(29161,plain,
% 54.79/34.96 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB157) | (~v113(constB157)) | v112(constB157))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB157) | v112(constB157) | (~v113(constB157)))),
% 54.79/34.96 inference(transitivity,[status(thm)],[29160, 29158])).
% 54.79/34.96 tff(29162,plain,
% 54.79/34.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB157) | (~v113(constB157)) | v112(constB157))),
% 54.79/34.96 inference(quant_inst,[status(thm)],[])).
% 54.79/34.96 tff(29163,plain,
% 54.79/34.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB157) | v112(constB157) | (~v113(constB157))),
% 54.79/34.96 inference(modus_ponens,[status(thm)],[29162, 29161])).
% 54.79/34.96 tff(29164,plain,
% 54.79/34.96 (~v113(constB157)),
% 54.79/34.96 inference(unit_resolution,[status(thm)],[29163, 1063, 29157, 29150])).
% 54.79/34.96 tff(29165,plain,
% 54.79/34.96 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB157)) | v113(constB157))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB157)) | v113(constB157))),
% 54.79/34.96 inference(rewrite,[status(thm)],[])).
% 54.79/34.96 tff(29166,plain,
% 54.79/34.96 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB157)) | v113(constB157))),
% 54.79/34.96 inference(quant_inst,[status(thm)],[])).
% 54.79/34.96 tff(29167,plain,
% 54.79/34.96 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB157)) | v113(constB157)),
% 54.79/34.96 inference(modus_ponens,[status(thm)],[29166, 29165])).
% 54.79/34.96 tff(29168,plain,
% 54.79/34.96 (~v114(constB157)),
% 54.79/34.96 inference(unit_resolution,[status(thm)],[29167, 1049, 29164])).
% 54.79/34.96 tff(29169,plain,
% 54.79/34.96 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB157) | (~v115(constB157)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB157) | (~v115(constB157)))),
% 54.79/34.96 inference(rewrite,[status(thm)],[])).
% 54.79/34.96 tff(29170,plain,
% 54.79/34.96 (((~v115(constB157)) | v114(constB157)) <=> (v114(constB157) | (~v115(constB157)))),
% 54.79/34.96 inference(rewrite,[status(thm)],[])).
% 54.79/34.96 tff(29171,plain,
% 54.79/34.96 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB157)) | v114(constB157))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB157) | (~v115(constB157))))),
% 54.79/34.96 inference(monotonicity,[status(thm)],[29170])).
% 54.79/34.96 tff(29172,plain,
% 54.79/34.96 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB157)) | v114(constB157))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB157) | (~v115(constB157)))),
% 54.79/34.96 inference(transitivity,[status(thm)],[29171, 29169])).
% 54.79/34.96 tff(29173,plain,
% 54.79/34.96 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB157)) | v114(constB157))),
% 54.79/34.96 inference(quant_inst,[status(thm)],[])).
% 54.79/34.96 tff(29174,plain,
% 54.79/34.96 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB157) | (~v115(constB157))),
% 54.79/34.96 inference(modus_ponens,[status(thm)],[29173, 29172])).
% 54.79/34.96 tff(29175,plain,
% 54.79/34.96 (~v115(constB157)),
% 54.79/34.96 inference(unit_resolution,[status(thm)],[29174, 1035, 29168])).
% 54.79/34.96 tff(29176,plain,
% 54.79/34.96 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB157) | (~v123(constB157)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB157) | (~v123(constB157)))),
% 54.79/34.96 inference(rewrite,[status(thm)],[])).
% 54.79/34.96 tff(29177,plain,
% 54.79/34.96 (((~v123(constB157)) | v115(constB157)) <=> (v115(constB157) | (~v123(constB157)))),
% 54.79/34.96 inference(rewrite,[status(thm)],[])).
% 54.79/34.96 tff(29178,plain,
% 54.79/34.96 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB157)) | v115(constB157))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB157) | (~v123(constB157))))),
% 54.79/34.96 inference(monotonicity,[status(thm)],[29177])).
% 54.79/34.96 tff(29179,plain,
% 54.79/34.96 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB157)) | v115(constB157))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB157) | (~v123(constB157)))),
% 54.79/34.96 inference(transitivity,[status(thm)],[29178, 29176])).
% 54.79/34.96 tff(29180,plain,
% 54.79/34.96 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB157)) | v115(constB157))),
% 54.79/34.96 inference(quant_inst,[status(thm)],[])).
% 54.79/34.96 tff(29181,plain,
% 54.79/34.96 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB157) | (~v123(constB157))),
% 54.79/34.96 inference(modus_ponens,[status(thm)],[29180, 29179])).
% 54.79/34.96 tff(29182,plain,
% 54.79/34.96 (~v123(constB157)),
% 54.79/34.96 inference(unit_resolution,[status(thm)],[29181, 2291, 29175])).
% 54.79/34.96 tff(29183,plain,
% 54.79/34.96 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB157) | (~v116(constB157)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB157) | (~v116(constB157)))),
% 54.79/34.96 inference(rewrite,[status(thm)],[])).
% 54.79/34.96 tff(29184,plain,
% 54.79/34.96 (((~v116(constB157)) | v115(constB157)) <=> (v115(constB157) | (~v116(constB157)))),
% 54.79/34.96 inference(rewrite,[status(thm)],[])).
% 54.79/34.96 tff(29185,plain,
% 54.79/34.96 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB157)) | v115(constB157))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB157) | (~v116(constB157))))),
% 54.79/34.96 inference(monotonicity,[status(thm)],[29184])).
% 54.79/34.96 tff(29186,plain,
% 54.79/34.96 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB157)) | v115(constB157))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB157) | (~v116(constB157)))),
% 54.79/34.96 inference(transitivity,[status(thm)],[29185, 29183])).
% 54.79/34.96 tff(29187,plain,
% 54.79/34.96 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB157)) | v115(constB157))),
% 54.79/34.96 inference(quant_inst,[status(thm)],[])).
% 54.79/34.96 tff(29188,plain,
% 54.79/34.96 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB157) | (~v116(constB157))),
% 54.79/34.96 inference(modus_ponens,[status(thm)],[29187, 29186])).
% 54.79/34.96 tff(29189,plain,
% 54.79/34.96 (~v116(constB157)),
% 54.79/34.96 inference(unit_resolution,[status(thm)],[29188, 1021, 29175])).
% 54.79/34.96 tff(29190,plain,
% 54.79/34.96 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB157) | (~v117(constB157)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB157) | (~v117(constB157)))),
% 54.79/34.96 inference(rewrite,[status(thm)],[])).
% 54.79/34.96 tff(29191,plain,
% 54.79/34.96 (((~v117(constB157)) | v116(constB157)) <=> (v116(constB157) | (~v117(constB157)))),
% 54.79/34.96 inference(rewrite,[status(thm)],[])).
% 54.79/34.96 tff(29192,plain,
% 54.79/34.96 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB157)) | v116(constB157))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB157) | (~v117(constB157))))),
% 54.79/34.96 inference(monotonicity,[status(thm)],[29191])).
% 54.79/34.96 tff(29193,plain,
% 54.79/34.96 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB157)) | v116(constB157))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB157) | (~v117(constB157)))),
% 54.79/34.96 inference(transitivity,[status(thm)],[29192, 29190])).
% 54.79/34.96 tff(29194,plain,
% 54.79/34.96 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB157)) | v116(constB157))),
% 54.79/34.96 inference(quant_inst,[status(thm)],[])).
% 54.79/34.96 tff(29195,plain,
% 54.79/34.96 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB157) | (~v117(constB157))),
% 54.79/34.96 inference(modus_ponens,[status(thm)],[29194, 29193])).
% 54.79/34.96 tff(29196,plain,
% 54.79/34.96 (~v117(constB157)),
% 54.79/34.96 inference(unit_resolution,[status(thm)],[29195, 1007, 29189])).
% 54.79/34.96 tff(29197,plain,
% 54.79/34.96 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB157) | (~v121(constB157)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB157) | (~v121(constB157)))),
% 54.79/34.96 inference(rewrite,[status(thm)],[])).
% 54.79/34.96 tff(29198,plain,
% 54.79/34.96 (((~v121(constB157)) | v117(constB157)) <=> (v117(constB157) | (~v121(constB157)))),
% 54.79/34.96 inference(rewrite,[status(thm)],[])).
% 54.79/34.96 tff(29199,plain,
% 54.79/34.96 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB157)) | v117(constB157))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB157) | (~v121(constB157))))),
% 54.79/34.96 inference(monotonicity,[status(thm)],[29198])).
% 54.79/34.96 tff(29200,plain,
% 54.79/34.96 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB157)) | v117(constB157))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB157) | (~v121(constB157)))),
% 54.79/34.96 inference(transitivity,[status(thm)],[29199, 29197])).
% 54.79/34.96 tff(29201,plain,
% 54.79/34.96 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB157)) | v117(constB157))),
% 54.79/34.96 inference(quant_inst,[status(thm)],[])).
% 54.79/34.96 tff(29202,plain,
% 54.79/34.96 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB157) | (~v121(constB157))),
% 54.79/34.96 inference(modus_ponens,[status(thm)],[29201, 29200])).
% 54.79/34.96 tff(29203,plain,
% 54.79/34.96 (~v121(constB157)),
% 54.79/34.96 inference(unit_resolution,[status(thm)],[29202, 1742, 29196])).
% 54.79/34.96 tff(29204,assumption,(~v90(constB158, 0)), introduced(assumption)).
% 54.79/34.96 tff(29205,plain,
% 54.79/34.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB157, 0)) | (~nextState(constB157, constB158)) | v100(constB158) | v90(constB158, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB157, 0)) | (~nextState(constB157, constB158)) | v100(constB158) | v90(constB158, 0))),
% 54.79/34.96 inference(rewrite,[status(thm)],[])).
% 54.79/34.96 tff(29206,plain,
% 54.79/34.96 (((~nextState(constB157, constB158)) | (~v90(constB157, 0)) | v100(constB158) | v90(constB158, 0)) <=> ((~v90(constB157, 0)) | (~nextState(constB157, constB158)) | v100(constB158) | v90(constB158, 0))),
% 54.79/34.96 inference(rewrite,[status(thm)],[])).
% 54.79/34.96 tff(29207,plain,
% 54.79/34.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB157, constB158)) | (~v90(constB157, 0)) | v100(constB158) | v90(constB158, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB157, 0)) | (~nextState(constB157, constB158)) | v100(constB158) | v90(constB158, 0)))),
% 54.79/34.96 inference(monotonicity,[status(thm)],[29206])).
% 54.79/34.96 tff(29208,plain,
% 54.79/34.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB157, constB158)) | (~v90(constB157, 0)) | v100(constB158) | v90(constB158, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB157, 0)) | (~nextState(constB157, constB158)) | v100(constB158) | v90(constB158, 0))),
% 54.79/34.96 inference(transitivity,[status(thm)],[29207, 29205])).
% 54.79/34.96 tff(29209,plain,
% 54.79/34.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB157, constB158)) | (~v90(constB157, 0)) | v100(constB158) | v90(constB158, 0))),
% 54.79/34.96 inference(quant_inst,[status(thm)],[])).
% 54.79/34.96 tff(29210,plain,
% 54.79/34.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB157, 0)) | (~nextState(constB157, constB158)) | v100(constB158) | v90(constB158, 0)),
% 54.79/34.96 inference(modus_ponens,[status(thm)],[29209, 29208])).
% 54.79/34.96 tff(29211,plain,
% 54.79/34.96 ((~v90(constB157, 0)) | v100(constB158) | v90(constB158, 0)),
% 54.79/34.96 inference(unit_resolution,[status(thm)],[29210, 1395, 29109])).
% 54.79/34.96 tff(29212,plain,
% 54.79/34.96 (~v90(constB157, 0)),
% 54.79/34.96 inference(unit_resolution,[status(thm)],[29211, 29103, 29204])).
% 54.79/34.96 tff(29213,plain,
% 54.79/34.96 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB157) | (~v118(constB157)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB157) | (~v118(constB157)))),
% 54.79/34.97 inference(rewrite,[status(thm)],[])).
% 54.79/34.97 tff(29214,plain,
% 54.79/34.97 (((~v118(constB157)) | v117(constB157)) <=> (v117(constB157) | (~v118(constB157)))),
% 54.79/34.97 inference(rewrite,[status(thm)],[])).
% 54.79/34.97 tff(29215,plain,
% 54.79/34.97 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB157)) | v117(constB157))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB157) | (~v118(constB157))))),
% 54.79/34.97 inference(monotonicity,[status(thm)],[29214])).
% 54.79/34.97 tff(29216,plain,
% 54.79/34.97 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB157)) | v117(constB157))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB157) | (~v118(constB157)))),
% 54.79/34.97 inference(transitivity,[status(thm)],[29215, 29213])).
% 54.79/34.97 tff(29217,plain,
% 54.79/34.97 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB157)) | v117(constB157))),
% 54.79/34.97 inference(quant_inst,[status(thm)],[])).
% 54.79/34.97 tff(29218,plain,
% 54.79/34.97 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB157) | (~v118(constB157))),
% 54.79/34.97 inference(modus_ponens,[status(thm)],[29217, 29216])).
% 54.79/34.97 tff(29219,plain,
% 54.79/34.97 (~v118(constB157)),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29218, 993, 29196])).
% 54.79/34.97 tff(29220,plain,
% 54.79/34.97 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB157) | (~v119(constB157)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB157) | (~v119(constB157)))),
% 54.79/34.97 inference(rewrite,[status(thm)],[])).
% 54.79/34.97 tff(29221,plain,
% 54.79/34.97 (((~v119(constB157)) | v118(constB157)) <=> (v118(constB157) | (~v119(constB157)))),
% 54.79/34.97 inference(rewrite,[status(thm)],[])).
% 54.79/34.97 tff(29222,plain,
% 54.79/34.97 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB157)) | v118(constB157))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (v118(constB157) | (~v119(constB157))))),
% 54.79/34.97 inference(monotonicity,[status(thm)],[29221])).
% 54.79/34.97 tff(29223,plain,
% 54.79/34.97 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB157)) | v118(constB157))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB157) | (~v119(constB157)))),
% 54.79/34.97 inference(transitivity,[status(thm)],[29222, 29220])).
% 54.79/34.97 tff(29224,plain,
% 54.79/34.97 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB157)) | v118(constB157))),
% 54.79/34.97 inference(quant_inst,[status(thm)],[])).
% 54.79/34.97 tff(29225,plain,
% 54.79/34.97 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | v118(constB157) | (~v119(constB157))),
% 54.79/34.97 inference(modus_ponens,[status(thm)],[29224, 29223])).
% 54.79/34.97 tff(29226,plain,
% 54.79/34.97 (~v119(constB157)),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29225, 982, 29219])).
% 54.79/34.97 tff(29227,assumption,(~v119(constB157)), introduced(assumption)).
% 54.79/34.97 tff(29228,assumption,(~v90(constB157, 2)), introduced(assumption)).
% 54.79/34.97 tff(29229,assumption,(~v121(constB157)), introduced(assumption)).
% 54.79/34.97 tff(29230,assumption,(~v90(constB157, 0)), introduced(assumption)).
% 54.79/34.97 tff(29231,plain,
% 54.79/34.97 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB157, 0) | (~v90(constB157, 1)) | v90(constB157, 2) | v121(constB157))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB157, 0) | (~v90(constB157, 1)) | v90(constB157, 2) | v121(constB157))),
% 54.79/34.97 inference(rewrite,[status(thm)],[])).
% 54.79/34.97 tff(29232,plain,
% 54.79/34.97 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB157, 0) | (~v90(constB157, 1)) | v90(constB157, 2) | v121(constB157))),
% 54.79/34.97 inference(quant_inst,[status(thm)],[])).
% 54.79/34.97 tff(29233,plain,
% 54.79/34.97 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB157, 0) | (~v90(constB157, 1)) | v90(constB157, 2) | v121(constB157)),
% 54.79/34.97 inference(modus_ponens,[status(thm)],[29232, 29231])).
% 54.79/34.97 tff(29234,plain,
% 54.79/34.97 ((~v90(constB157, 1)) | v90(constB157, 2) | v121(constB157)),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29233, 1731, 29230])).
% 54.79/34.97 tff(29235,plain,
% 54.79/34.97 (~v90(constB157, 1)),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29234, 29228, 29229])).
% 54.79/34.97 tff(29236,plain,
% 54.79/34.97 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB157, 0) | v90(constB157, 1) | v90(constB157, 2) | v119(constB157))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB157, 0) | v90(constB157, 1) | v90(constB157, 2) | v119(constB157))),
% 54.79/34.97 inference(rewrite,[status(thm)],[])).
% 54.79/34.97 tff(29237,plain,
% 54.79/34.97 ((v90(constB157, 0) | v119(constB157) | v90(constB157, 1) | v90(constB157, 2)) <=> (v90(constB157, 0) | v90(constB157, 1) | v90(constB157, 2) | v119(constB157))),
% 54.79/34.97 inference(rewrite,[status(thm)],[])).
% 54.79/34.97 tff(29238,plain,
% 54.79/34.97 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB157, 0) | v119(constB157) | v90(constB157, 1) | v90(constB157, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB157, 0) | v90(constB157, 1) | v90(constB157, 2) | v119(constB157)))),
% 54.79/34.97 inference(monotonicity,[status(thm)],[29237])).
% 54.79/34.97 tff(29239,plain,
% 54.79/34.97 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB157, 0) | v119(constB157) | v90(constB157, 1) | v90(constB157, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB157, 0) | v90(constB157, 1) | v90(constB157, 2) | v119(constB157))),
% 54.79/34.97 inference(transitivity,[status(thm)],[29238, 29236])).
% 54.79/34.97 tff(29240,plain,
% 54.79/34.97 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB157, 0) | v119(constB157) | v90(constB157, 1) | v90(constB157, 2))),
% 54.79/34.97 inference(quant_inst,[status(thm)],[])).
% 54.79/34.97 tff(29241,plain,
% 54.79/34.97 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB157, 0) | v90(constB157, 1) | v90(constB157, 2) | v119(constB157)),
% 54.79/34.97 inference(modus_ponens,[status(thm)],[29240, 29239])).
% 54.79/34.97 tff(29242,plain,
% 54.79/34.97 (v90(constB157, 1) | v90(constB157, 2) | v119(constB157)),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29241, 968, 29230])).
% 54.79/34.97 tff(29243,plain,
% 54.79/34.97 ($false),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29242, 29235, 29228, 29227])).
% 54.79/34.97 tff(29244,plain,(v90(constB157, 2) | v119(constB157) | v90(constB157, 0) | v121(constB157)), inference(lemma,lemma(discharge,[]))).
% 54.79/34.97 tff(29245,plain,
% 54.79/34.97 (v90(constB157, 2)),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29244, 29226, 29212, 29203])).
% 54.79/34.97 tff(29246,plain,
% 54.79/34.97 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB157) | (~v125(constB157)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB157) | (~v125(constB157)))),
% 54.79/34.97 inference(rewrite,[status(thm)],[])).
% 54.79/34.97 tff(29247,plain,
% 54.79/34.97 (((~v125(constB157)) | v113(constB157)) <=> (v113(constB157) | (~v125(constB157)))),
% 54.79/34.97 inference(rewrite,[status(thm)],[])).
% 54.79/34.97 tff(29248,plain,
% 54.79/34.97 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB157)) | v113(constB157))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB157) | (~v125(constB157))))),
% 54.79/34.97 inference(monotonicity,[status(thm)],[29247])).
% 54.79/34.97 tff(29249,plain,
% 54.79/34.97 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB157)) | v113(constB157))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB157) | (~v125(constB157)))),
% 54.79/34.97 inference(transitivity,[status(thm)],[29248, 29246])).
% 54.79/34.97 tff(29250,plain,
% 54.79/34.97 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB157)) | v113(constB157))),
% 54.79/34.97 inference(quant_inst,[status(thm)],[])).
% 54.79/34.97 tff(29251,plain,
% 54.79/34.97 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB157) | (~v125(constB157))),
% 54.79/34.97 inference(modus_ponens,[status(thm)],[29250, 29249])).
% 54.79/34.97 tff(29252,plain,
% 54.79/34.97 (~v125(constB157)),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29251, 2262, 29164])).
% 54.79/34.97 tff(29253,plain,
% 54.79/34.97 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB157, 0) | (~v90(constB157, 1)) | (~v90(constB157, 2)) | v125(constB157))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB157, 0) | (~v90(constB157, 1)) | (~v90(constB157, 2)) | v125(constB157))),
% 54.79/34.97 inference(rewrite,[status(thm)],[])).
% 54.79/34.97 tff(29254,plain,
% 54.79/34.97 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB157, 0) | (~v90(constB157, 1)) | (~v90(constB157, 2)) | v125(constB157))),
% 54.79/34.97 inference(quant_inst,[status(thm)],[])).
% 54.79/34.97 tff(29255,plain,
% 54.79/34.97 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB157, 0) | (~v90(constB157, 1)) | (~v90(constB157, 2)) | v125(constB157)),
% 54.79/34.97 inference(modus_ponens,[status(thm)],[29254, 29253])).
% 54.79/34.97 tff(29256,plain,
% 54.79/34.97 ((~v90(constB157, 1)) | (~v90(constB157, 2)) | v125(constB157)),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29255, 2279, 29212])).
% 54.79/34.97 tff(29257,plain,
% 54.79/34.97 (~v90(constB157, 1)),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29256, 29245, 29252])).
% 54.79/34.97 tff(29258,plain,
% 54.79/34.97 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB157, 0) | v90(constB157, 1) | (~v90(constB157, 2)) | v123(constB157))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB157, 0) | v90(constB157, 1) | (~v90(constB157, 2)) | v123(constB157))),
% 54.79/34.97 inference(rewrite,[status(thm)],[])).
% 54.79/34.97 tff(29259,plain,
% 54.79/34.97 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB157, 0) | v90(constB157, 1) | (~v90(constB157, 2)) | v123(constB157))),
% 54.79/34.97 inference(quant_inst,[status(thm)],[])).
% 54.79/34.97 tff(29260,plain,
% 54.79/34.97 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB157, 0) | v90(constB157, 1) | (~v90(constB157, 2)) | v123(constB157)),
% 54.79/34.97 inference(modus_ponens,[status(thm)],[29259, 29258])).
% 54.79/34.97 tff(29261,plain,
% 54.79/34.97 (v90(constB157, 1) | (~v90(constB157, 2)) | v123(constB157)),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29260, 2308, 29212])).
% 54.79/34.97 tff(29262,plain,
% 54.79/34.97 ($false),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29261, 29257, 29245, 29182])).
% 54.79/34.97 tff(29263,plain,(v100(constB158) | v90(constB158, 0)), inference(lemma,lemma(discharge,[]))).
% 54.79/34.97 tff(29264,plain,
% 54.79/34.97 (v90(constB158, 0)),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29263, 29103])).
% 54.79/34.97 tff(29265,plain,
% 54.79/34.97 ((~v1(constB159)) <=> (~v1(constB159))),
% 54.79/34.97 inference(rewrite,[status(thm)],[])).
% 54.79/34.97 tff(29266,axiom,(~v1(constB159)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_159_1_1')).
% 54.79/34.97 tff(29267,plain,
% 54.79/34.97 (~v1(constB159)),
% 54.79/34.97 inference(modus_ponens,[status(thm)],[29266, 29265])).
% 54.79/34.97 tff(29268,plain,
% 54.79/34.97 (nextState(constB158, constB159) <=> nextState(constB158, constB159)),
% 54.79/34.97 inference(rewrite,[status(thm)],[])).
% 54.79/34.97 tff(29269,axiom,(nextState(constB158, constB159)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_158_1')).
% 54.79/34.97 tff(29270,plain,
% 54.79/34.97 (nextState(constB158, constB159)),
% 54.79/34.97 inference(modus_ponens,[status(thm)],[29269, 29268])).
% 54.79/34.97 tff(29271,plain,
% 54.79/34.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159)))),
% 54.79/34.97 inference(rewrite,[status(thm)],[])).
% 54.79/34.97 tff(29272,plain,
% 54.79/34.97 (((~nextState(constB158, constB159)) | (~v101(constB159)) | v1(constB159)) <=> (v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159)))),
% 54.79/34.97 inference(rewrite,[status(thm)],[])).
% 54.79/34.97 tff(29273,plain,
% 54.79/34.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB158, constB159)) | (~v101(constB159)) | v1(constB159))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159))))),
% 54.79/34.97 inference(monotonicity,[status(thm)],[29272])).
% 54.79/34.97 tff(29274,plain,
% 54.79/34.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB158, constB159)) | (~v101(constB159)) | v1(constB159))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159)))),
% 54.79/34.97 inference(transitivity,[status(thm)],[29273, 29271])).
% 54.79/34.97 tff(29275,plain,
% 54.79/34.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB158, constB159)) | (~v101(constB159)) | v1(constB159))),
% 54.79/34.97 inference(quant_inst,[status(thm)],[])).
% 54.79/34.97 tff(29276,plain,
% 54.79/34.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB159) | (~nextState(constB158, constB159)) | (~v101(constB159))),
% 54.79/34.97 inference(modus_ponens,[status(thm)],[29275, 29274])).
% 54.79/34.97 tff(29277,plain,
% 54.79/34.97 (~v101(constB159)),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29276, 873, 29270, 29267])).
% 54.79/34.97 tff(29278,plain,
% 54.79/34.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB158, constB159)) | v101(constB159) | (~v100(constB159)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB158, constB159)) | v101(constB159) | (~v100(constB159)))),
% 54.79/34.97 inference(rewrite,[status(thm)],[])).
% 54.79/34.97 tff(29279,plain,
% 54.79/34.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB158, constB159)) | v101(constB159) | (~v100(constB159)))),
% 54.79/34.97 inference(quant_inst,[status(thm)],[])).
% 54.79/34.97 tff(29280,plain,
% 54.79/34.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB158, constB159)) | v101(constB159) | (~v100(constB159))),
% 54.79/34.97 inference(modus_ponens,[status(thm)],[29279, 29278])).
% 54.79/34.97 tff(29281,plain,
% 54.79/34.97 (v101(constB159) | (~v100(constB159))),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29280, 890, 29270])).
% 54.79/34.97 tff(29282,plain,
% 54.79/34.97 (~v100(constB159)),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29281, 29277])).
% 54.79/34.97 tff(29283,plain,
% 54.79/34.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB158, 0)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB158, 0)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, 0))),
% 54.79/34.97 inference(rewrite,[status(thm)],[])).
% 54.79/34.97 tff(29284,plain,
% 54.79/34.97 (((~nextState(constB158, constB159)) | (~v90(constB158, 0)) | v100(constB159) | v90(constB159, 0)) <=> ((~v90(constB158, 0)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, 0))),
% 54.79/34.97 inference(rewrite,[status(thm)],[])).
% 54.79/34.97 tff(29285,plain,
% 54.79/34.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB158, constB159)) | (~v90(constB158, 0)) | v100(constB159) | v90(constB159, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB158, 0)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, 0)))),
% 54.79/34.97 inference(monotonicity,[status(thm)],[29284])).
% 54.79/34.97 tff(29286,plain,
% 54.79/34.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB158, constB159)) | (~v90(constB158, 0)) | v100(constB159) | v90(constB159, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB158, 0)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, 0))),
% 54.79/34.97 inference(transitivity,[status(thm)],[29285, 29283])).
% 54.79/34.97 tff(29287,plain,
% 54.79/34.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB158, constB159)) | (~v90(constB158, 0)) | v100(constB159) | v90(constB159, 0))),
% 54.79/34.97 inference(quant_inst,[status(thm)],[])).
% 54.79/34.97 tff(29288,plain,
% 54.79/34.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB158, 0)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, 0)),
% 54.79/34.97 inference(modus_ponens,[status(thm)],[29287, 29286])).
% 54.79/34.97 tff(29289,plain,
% 54.79/34.97 ((~v90(constB158, 0)) | v100(constB159) | v90(constB159, 0)),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29288, 1395, 29270])).
% 54.79/34.97 tff(29290,plain,
% 54.79/34.97 ((~v90(constB158, 0)) | v90(constB159, 0)),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29289, 29282])).
% 54.79/34.97 tff(29291,plain,
% 54.79/34.97 (v90(constB159, 0)),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29290, 29264])).
% 54.79/34.97 tff(29292,plain,
% 54.79/34.97 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v121(constB159)) | (~v90(constB159, 0)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | (~v121(constB159)) | (~v90(constB159, 0)))),
% 54.79/34.97 inference(rewrite,[status(thm)],[])).
% 54.79/34.97 tff(29293,plain,
% 54.79/34.97 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v121(constB159)) | (~v90(constB159, 0)))),
% 54.79/34.97 inference(quant_inst,[status(thm)],[])).
% 54.79/34.97 tff(29294,plain,
% 54.79/34.97 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | (~v121(constB159)) | (~v90(constB159, 0))),
% 54.79/34.97 inference(modus_ponens,[status(thm)],[29293, 29292])).
% 54.79/34.97 tff(29295,plain,
% 54.79/34.97 (~v121(constB159)),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29294, 5876, 29291])).
% 54.79/34.97 tff(29296,assumption,(v120(constB157)), introduced(assumption)).
% 54.79/34.97 tff(29297,plain,
% 54.79/34.97 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB157)) | v118(constB157))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB157)) | v118(constB157))),
% 54.79/34.97 inference(rewrite,[status(thm)],[])).
% 54.79/34.97 tff(29298,plain,
% 54.79/34.97 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB157)) | v118(constB157))),
% 54.79/34.97 inference(quant_inst,[status(thm)],[])).
% 54.79/34.97 tff(29299,plain,
% 54.79/34.97 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB157)) | v118(constB157)),
% 54.79/34.97 inference(modus_ponens,[status(thm)],[29298, 29297])).
% 54.79/34.97 tff(29300,plain,
% 54.79/34.97 (v118(constB157)),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29299, 1425, 29296])).
% 54.79/34.97 tff(29301,plain,
% 54.79/34.97 (v117(constB157)),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29218, 993, 29300])).
% 54.79/34.97 tff(29302,plain,
% 54.79/34.97 (v116(constB157)),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29195, 1007, 29301])).
% 54.79/34.97 tff(29303,plain,
% 54.79/34.97 (v115(constB157)),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29188, 1021, 29302])).
% 54.79/34.97 tff(29304,plain,
% 54.79/34.97 (v114(constB157)),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29174, 1035, 29303])).
% 54.79/34.97 tff(29305,plain,
% 54.79/34.97 (v113(constB157)),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29167, 1049, 29304])).
% 54.79/34.97 tff(29306,assumption,(v26(constB157)), introduced(assumption)).
% 54.79/34.97 tff(29307,plain,
% 54.79/34.97 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB157))),
% 54.79/34.97 inference(quant_inst,[status(thm)],[])).
% 54.79/34.97 tff(29308,plain,
% 54.79/34.97 ($false),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29307, 828, 29306])).
% 54.79/34.97 tff(29309,plain,(~v26(constB157)), inference(lemma,lemma(discharge,[]))).
% 54.79/34.97 tff(29310,plain,
% 54.79/34.97 (v112(constB157) | (~v113(constB157))),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29163, 1063, 29309])).
% 54.79/34.97 tff(29311,plain,
% 54.79/34.97 (v112(constB157)),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29310, 29305])).
% 54.79/34.97 tff(29312,plain,
% 54.79/34.97 (v108(constB157)),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29149, 1075, 29311])).
% 54.79/34.97 tff(29313,plain,
% 54.79/34.97 (v110(constB158)),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29142, 29312])).
% 54.79/34.97 tff(29314,plain,
% 54.79/34.97 (v100(constB158)),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29134, 29313])).
% 54.79/34.97 tff(29315,plain,
% 54.79/34.97 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB157)) | (~v130(constB157, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB157)) | (~v130(constB157, 2)))),
% 54.79/34.97 inference(rewrite,[status(thm)],[])).
% 54.79/34.97 tff(29316,plain,
% 54.79/34.97 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB157)) | (~v130(constB157, 2)))),
% 54.79/34.97 inference(quant_inst,[status(thm)],[])).
% 54.79/34.97 tff(29317,plain,
% 54.79/34.97 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB157)) | (~v130(constB157, 2))),
% 54.79/34.97 inference(modus_ponens,[status(thm)],[29316, 29315])).
% 54.79/34.97 tff(29318,plain,
% 54.79/34.97 (~v130(constB157, 2)),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29317, 1523, 29296])).
% 54.79/34.97 tff(29319,plain,
% 54.79/34.97 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB157, 2)) | v26(constB157) | v130(constB157, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB157, 2)) | v26(constB157) | v130(constB157, 2))),
% 54.79/34.97 inference(rewrite,[status(thm)],[])).
% 54.79/34.97 tff(29320,plain,
% 54.79/34.97 ((v26(constB157) | v130(constB157, 2) | (~v127(constB157, 2))) <=> ((~v127(constB157, 2)) | v26(constB157) | v130(constB157, 2))),
% 54.79/34.97 inference(rewrite,[status(thm)],[])).
% 54.79/34.97 tff(29321,plain,
% 54.79/34.97 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB157) | v130(constB157, 2) | (~v127(constB157, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB157, 2)) | v26(constB157) | v130(constB157, 2)))),
% 54.79/34.97 inference(monotonicity,[status(thm)],[29320])).
% 54.79/34.97 tff(29322,plain,
% 54.79/34.97 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB157) | v130(constB157, 2) | (~v127(constB157, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB157, 2)) | v26(constB157) | v130(constB157, 2))),
% 54.79/34.97 inference(transitivity,[status(thm)],[29321, 29319])).
% 54.79/34.97 tff(29323,plain,
% 54.79/34.97 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB157) | v130(constB157, 2) | (~v127(constB157, 2)))),
% 54.79/34.97 inference(quant_inst,[status(thm)],[])).
% 54.79/34.97 tff(29324,plain,
% 54.79/34.97 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB157, 2)) | v26(constB157) | v130(constB157, 2)),
% 54.79/34.97 inference(modus_ponens,[status(thm)],[29323, 29322])).
% 54.79/34.97 tff(29325,plain,
% 54.79/34.97 ((~v127(constB157, 2)) | v130(constB157, 2)),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29324, 1190, 29309])).
% 54.79/34.97 tff(29326,plain,
% 54.79/34.97 (~v127(constB157, 2)),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29325, 29318])).
% 54.79/34.97 tff(29327,plain,
% 54.79/34.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB157, constB158)) | v127(constB157, 2) | (~v129(constB158, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB157, constB158)) | v127(constB157, 2) | (~v129(constB158, 2)))),
% 54.79/34.97 inference(rewrite,[status(thm)],[])).
% 54.79/34.97 tff(29328,plain,
% 54.79/34.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB157, constB158)) | v127(constB157, 2) | (~v129(constB158, 2)))),
% 54.79/34.97 inference(quant_inst,[status(thm)],[])).
% 54.79/34.97 tff(29329,plain,
% 54.79/34.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB157, constB158)) | v127(constB157, 2) | (~v129(constB158, 2))),
% 54.79/34.97 inference(modus_ponens,[status(thm)],[29328, 29327])).
% 54.79/34.97 tff(29330,plain,
% 54.79/34.97 (v127(constB157, 2) | (~v129(constB158, 2))),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29329, 1208, 29109])).
% 54.79/34.97 tff(29331,plain,
% 54.79/34.97 (~v129(constB158, 2)),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29330, 29326])).
% 54.79/34.97 tff(29332,plain,
% 54.79/34.97 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB158, 2)) | v129(constB158, 2) | (~v100(constB158)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB158, 2)) | v129(constB158, 2) | (~v100(constB158)))),
% 54.79/34.97 inference(rewrite,[status(thm)],[])).
% 54.79/34.97 tff(29333,plain,
% 54.79/34.97 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB158, 2)) | v129(constB158, 2) | (~v100(constB158)))),
% 54.79/34.97 inference(quant_inst,[status(thm)],[])).
% 54.79/34.97 tff(29334,plain,
% 54.79/34.97 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB158, 2)) | v129(constB158, 2) | (~v100(constB158))),
% 54.79/34.97 inference(modus_ponens,[status(thm)],[29333, 29332])).
% 54.79/34.97 tff(29335,plain,
% 54.79/34.97 ((~v90(constB158, 2)) | (~v100(constB158))),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29334, 1223, 29331])).
% 54.79/34.97 tff(29336,plain,
% 54.79/34.97 (~v90(constB158, 2)),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29335, 29314])).
% 54.79/34.97 tff(29337,plain,
% 54.79/34.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB158, 2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB158, 2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, 2)))),
% 54.79/34.97 inference(rewrite,[status(thm)],[])).
% 54.79/34.97 tff(29338,plain,
% 54.79/34.97 (((~nextState(constB158, constB159)) | v90(constB158, 2) | v100(constB159) | (~v90(constB159, 2))) <=> (v90(constB158, 2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, 2)))),
% 54.79/34.97 inference(rewrite,[status(thm)],[])).
% 54.79/34.97 tff(29339,plain,
% 54.79/34.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB158, constB159)) | v90(constB158, 2) | v100(constB159) | (~v90(constB159, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB158, 2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, 2))))),
% 54.79/34.97 inference(monotonicity,[status(thm)],[29338])).
% 54.79/34.97 tff(29340,plain,
% 54.79/34.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB158, constB159)) | v90(constB158, 2) | v100(constB159) | (~v90(constB159, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB158, 2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, 2)))),
% 54.79/34.97 inference(transitivity,[status(thm)],[29339, 29337])).
% 54.79/34.97 tff(29341,plain,
% 54.79/34.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB158, constB159)) | v90(constB158, 2) | v100(constB159) | (~v90(constB159, 2)))),
% 54.79/34.97 inference(quant_inst,[status(thm)],[])).
% 54.79/34.97 tff(29342,plain,
% 54.79/34.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB158, 2) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, 2))),
% 54.79/34.97 inference(modus_ponens,[status(thm)],[29341, 29340])).
% 54.79/34.97 tff(29343,plain,
% 54.79/34.97 (v90(constB158, 2) | v100(constB159) | (~v90(constB159, 2))),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29342, 905, 29270])).
% 54.79/34.97 tff(29344,plain,
% 54.79/34.97 (v90(constB158, 2) | (~v90(constB159, 2))),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29343, 29282])).
% 54.79/34.97 tff(29345,plain,
% 54.79/34.97 (~v90(constB159, 2)),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29344, 29336])).
% 54.79/34.97 tff(29346,plain,
% 54.79/34.97 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB157)) | v130(constB157, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB157)) | v130(constB157, 1))),
% 54.79/34.97 inference(rewrite,[status(thm)],[])).
% 54.79/34.97 tff(29347,plain,
% 54.79/34.97 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB157)) | v130(constB157, 1))),
% 54.79/34.97 inference(quant_inst,[status(thm)],[])).
% 54.79/34.97 tff(29348,plain,
% 54.79/34.97 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB157)) | v130(constB157, 1)),
% 54.79/34.97 inference(modus_ponens,[status(thm)],[29347, 29346])).
% 54.79/34.97 tff(29349,plain,
% 54.79/34.97 (v130(constB157, 1)),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29348, 1579, 29296])).
% 54.79/34.97 tff(29350,plain,
% 54.79/34.97 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB157) | (~v130(constB157, 1)) | v127(constB157, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB157) | (~v130(constB157, 1)) | v127(constB157, 1))),
% 54.79/34.97 inference(rewrite,[status(thm)],[])).
% 54.79/34.97 tff(29351,plain,
% 54.79/34.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB157) | (~v130(constB157, 1)) | v127(constB157, 1))),
% 54.79/34.97 inference(quant_inst,[status(thm)],[])).
% 54.79/34.97 tff(29352,plain,
% 54.79/34.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB157) | (~v130(constB157, 1)) | v127(constB157, 1)),
% 54.79/34.97 inference(modus_ponens,[status(thm)],[29351, 29350])).
% 54.79/34.97 tff(29353,plain,
% 54.79/34.97 ((~v130(constB157, 1)) | v127(constB157, 1)),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29352, 1593, 29309])).
% 54.79/34.97 tff(29354,plain,
% 54.79/34.97 (v127(constB157, 1)),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29353, 29349])).
% 54.79/34.97 tff(29355,plain,
% 54.79/34.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB157, constB158)) | (~v127(constB157, 1)) | v129(constB158, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB157, constB158)) | (~v127(constB157, 1)) | v129(constB158, 1))),
% 54.79/34.97 inference(rewrite,[status(thm)],[])).
% 54.79/34.97 tff(29356,plain,
% 54.79/34.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB157, constB158)) | (~v127(constB157, 1)) | v129(constB158, 1))),
% 54.79/34.97 inference(quant_inst,[status(thm)],[])).
% 54.79/34.97 tff(29357,plain,
% 54.79/34.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB157, constB158)) | (~v127(constB157, 1)) | v129(constB158, 1)),
% 54.79/34.97 inference(modus_ponens,[status(thm)],[29356, 29355])).
% 54.79/34.97 tff(29358,plain,
% 54.79/34.97 ((~v127(constB157, 1)) | v129(constB158, 1)),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29357, 1608, 29109])).
% 54.79/34.97 tff(29359,plain,
% 54.79/34.97 (v129(constB158, 1)),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29358, 29354])).
% 54.79/34.97 tff(29360,plain,
% 54.79/34.97 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB158, 1) | (~v129(constB158, 1)) | (~v100(constB158)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB158, 1) | (~v129(constB158, 1)) | (~v100(constB158)))),
% 54.79/34.97 inference(rewrite,[status(thm)],[])).
% 54.79/34.97 tff(29361,plain,
% 54.79/34.97 ((v90(constB158, 1) | (~v100(constB158)) | (~v129(constB158, 1))) <=> (v90(constB158, 1) | (~v129(constB158, 1)) | (~v100(constB158)))),
% 54.79/34.97 inference(rewrite,[status(thm)],[])).
% 54.79/34.97 tff(29362,plain,
% 54.79/34.97 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB158, 1) | (~v100(constB158)) | (~v129(constB158, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB158, 1) | (~v129(constB158, 1)) | (~v100(constB158))))),
% 54.79/34.97 inference(monotonicity,[status(thm)],[29361])).
% 54.79/34.97 tff(29363,plain,
% 54.79/34.97 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB158, 1) | (~v100(constB158)) | (~v129(constB158, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB158, 1) | (~v129(constB158, 1)) | (~v100(constB158)))),
% 54.79/34.97 inference(transitivity,[status(thm)],[29362, 29360])).
% 54.79/34.97 tff(29364,plain,
% 54.79/34.97 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB158, 1) | (~v100(constB158)) | (~v129(constB158, 1)))),
% 54.79/34.97 inference(quant_inst,[status(thm)],[])).
% 54.79/34.97 tff(29365,plain,
% 54.79/34.97 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB158, 1) | (~v129(constB158, 1)) | (~v100(constB158))),
% 54.79/34.97 inference(modus_ponens,[status(thm)],[29364, 29363])).
% 54.79/34.97 tff(29366,plain,
% 54.79/34.97 (v90(constB158, 1) | (~v100(constB158))),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29365, 1623, 29359])).
% 54.79/34.97 tff(29367,plain,
% 54.79/34.97 (v90(constB158, 1)),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29366, 29314])).
% 54.79/34.97 tff(29368,plain,
% 54.79/34.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB158, 1)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB158, 1)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, 1))),
% 54.79/34.97 inference(rewrite,[status(thm)],[])).
% 54.79/34.97 tff(29369,plain,
% 54.79/34.97 (((~nextState(constB158, constB159)) | (~v90(constB158, 1)) | v100(constB159) | v90(constB159, 1)) <=> ((~v90(constB158, 1)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, 1))),
% 54.79/34.97 inference(rewrite,[status(thm)],[])).
% 54.79/34.97 tff(29370,plain,
% 54.79/34.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB158, constB159)) | (~v90(constB158, 1)) | v100(constB159) | v90(constB159, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB158, 1)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, 1)))),
% 54.79/34.97 inference(monotonicity,[status(thm)],[29369])).
% 54.79/34.97 tff(29371,plain,
% 54.79/34.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB158, constB159)) | (~v90(constB158, 1)) | v100(constB159) | v90(constB159, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB158, 1)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, 1))),
% 54.79/34.97 inference(transitivity,[status(thm)],[29370, 29368])).
% 54.79/34.97 tff(29372,plain,
% 54.79/34.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB158, constB159)) | (~v90(constB158, 1)) | v100(constB159) | v90(constB159, 1))),
% 54.79/34.97 inference(quant_inst,[status(thm)],[])).
% 54.79/34.97 tff(29373,plain,
% 54.79/34.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB158, 1)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, 1)),
% 54.79/34.97 inference(modus_ponens,[status(thm)],[29372, 29371])).
% 54.79/34.97 tff(29374,plain,
% 54.79/34.97 ((~v90(constB158, 1)) | v100(constB159) | v90(constB159, 1)),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29373, 1641, 29270])).
% 54.79/34.97 tff(29375,plain,
% 54.79/34.97 ((~v90(constB158, 1)) | v90(constB159, 1)),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29374, 29282])).
% 54.79/34.97 tff(29376,plain,
% 54.79/34.97 (v90(constB159, 1)),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29375, 29367])).
% 54.79/34.97 tff(29377,plain,
% 54.79/34.97 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB157)) | (~v130(constB157, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB157)) | (~v130(constB157, 0)))),
% 54.79/34.97 inference(rewrite,[status(thm)],[])).
% 54.79/34.97 tff(29378,plain,
% 54.79/34.97 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB157)) | (~v130(constB157, 0)))),
% 54.79/34.97 inference(quant_inst,[status(thm)],[])).
% 54.79/34.97 tff(29379,plain,
% 54.79/34.97 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB157)) | (~v130(constB157, 0))),
% 54.79/34.97 inference(modus_ponens,[status(thm)],[29378, 29377])).
% 54.79/34.97 tff(29380,plain,
% 54.79/34.97 (~v130(constB157, 0)),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29379, 1657, 29296])).
% 54.79/34.97 tff(29381,plain,
% 54.79/34.97 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB157, 0)) | v26(constB157) | v130(constB157, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB157, 0)) | v26(constB157) | v130(constB157, 0))),
% 54.79/34.97 inference(rewrite,[status(thm)],[])).
% 54.79/34.97 tff(29382,plain,
% 54.79/34.97 ((v26(constB157) | v130(constB157, 0) | (~v127(constB157, 0))) <=> ((~v127(constB157, 0)) | v26(constB157) | v130(constB157, 0))),
% 54.79/34.97 inference(rewrite,[status(thm)],[])).
% 54.79/34.97 tff(29383,plain,
% 54.79/34.97 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB157) | v130(constB157, 0) | (~v127(constB157, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB157, 0)) | v26(constB157) | v130(constB157, 0)))),
% 54.79/34.97 inference(monotonicity,[status(thm)],[29382])).
% 54.79/34.97 tff(29384,plain,
% 54.79/34.97 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB157) | v130(constB157, 0) | (~v127(constB157, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB157, 0)) | v26(constB157) | v130(constB157, 0))),
% 54.79/34.97 inference(transitivity,[status(thm)],[29383, 29381])).
% 54.79/34.97 tff(29385,plain,
% 54.79/34.97 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB157) | v130(constB157, 0) | (~v127(constB157, 0)))),
% 54.79/34.97 inference(quant_inst,[status(thm)],[])).
% 54.79/34.97 tff(29386,plain,
% 54.79/34.97 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB157, 0)) | v26(constB157) | v130(constB157, 0)),
% 54.79/34.97 inference(modus_ponens,[status(thm)],[29385, 29384])).
% 54.79/34.97 tff(29387,plain,
% 54.79/34.97 ((~v127(constB157, 0)) | v130(constB157, 0)),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29386, 1671, 29309])).
% 54.79/34.97 tff(29388,plain,
% 54.79/34.97 (~v127(constB157, 0)),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29387, 29380])).
% 54.79/34.97 tff(29389,plain,
% 54.79/34.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB157, constB158)) | v127(constB157, 0) | (~v129(constB158, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB157, constB158)) | v127(constB157, 0) | (~v129(constB158, 0)))),
% 54.79/34.97 inference(rewrite,[status(thm)],[])).
% 54.79/34.97 tff(29390,plain,
% 54.79/34.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB157, constB158)) | v127(constB157, 0) | (~v129(constB158, 0)))),
% 54.79/34.97 inference(quant_inst,[status(thm)],[])).
% 54.79/34.97 tff(29391,plain,
% 54.79/34.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB157, constB158)) | v127(constB157, 0) | (~v129(constB158, 0))),
% 54.79/34.97 inference(modus_ponens,[status(thm)],[29390, 29389])).
% 54.79/34.97 tff(29392,plain,
% 54.79/34.97 (v127(constB157, 0) | (~v129(constB158, 0))),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29391, 1689, 29109])).
% 54.79/34.97 tff(29393,plain,
% 54.79/34.97 (~v129(constB158, 0)),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29392, 29388])).
% 54.79/34.97 tff(29394,plain,
% 54.79/34.97 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB158, 0)) | v129(constB158, 0) | (~v100(constB158)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB158, 0)) | v129(constB158, 0) | (~v100(constB158)))),
% 54.79/34.97 inference(rewrite,[status(thm)],[])).
% 54.79/34.97 tff(29395,plain,
% 54.79/34.97 (((~v90(constB158, 0)) | (~v100(constB158)) | v129(constB158, 0)) <=> ((~v90(constB158, 0)) | v129(constB158, 0) | (~v100(constB158)))),
% 54.79/34.97 inference(rewrite,[status(thm)],[])).
% 54.79/34.97 tff(29396,plain,
% 54.79/34.97 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB158, 0)) | (~v100(constB158)) | v129(constB158, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB158, 0)) | v129(constB158, 0) | (~v100(constB158))))),
% 54.79/34.97 inference(monotonicity,[status(thm)],[29395])).
% 54.79/34.97 tff(29397,plain,
% 54.79/34.97 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB158, 0)) | (~v100(constB158)) | v129(constB158, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB158, 0)) | v129(constB158, 0) | (~v100(constB158)))),
% 54.79/34.97 inference(transitivity,[status(thm)],[29396, 29394])).
% 54.79/34.97 tff(29398,plain,
% 54.79/34.97 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB158, 0)) | (~v100(constB158)) | v129(constB158, 0))),
% 54.79/34.97 inference(quant_inst,[status(thm)],[])).
% 54.79/34.97 tff(29399,plain,
% 54.79/34.97 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB158, 0)) | v129(constB158, 0) | (~v100(constB158))),
% 54.79/34.97 inference(modus_ponens,[status(thm)],[29398, 29397])).
% 54.79/34.97 tff(29400,plain,
% 54.79/34.97 ((~v90(constB158, 0)) | (~v100(constB158))),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29399, 1704, 29393])).
% 54.79/34.97 tff(29401,plain,
% 54.79/34.97 (~v90(constB158, 0)),
% 54.79/34.97 inference(unit_resolution,[status(thm)],[29400, 29314])).
% 54.79/34.97 tff(29402,plain,
% 54.79/34.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB158, 0) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB158, 0) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, 0)))),
% 54.79/34.97 inference(rewrite,[status(thm)],[])).
% 54.79/34.97 tff(29403,plain,
% 54.79/34.97 (((~nextState(constB158, constB159)) | v90(constB158, 0) | v100(constB159) | (~v90(constB159, 0))) <=> (v90(constB158, 0) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, 0)))),
% 54.79/34.97 inference(rewrite,[status(thm)],[])).
% 54.79/34.97 tff(29404,plain,
% 54.79/34.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB158, constB159)) | v90(constB158, 0) | v100(constB159) | (~v90(constB159, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB158, 0) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, 0))))),
% 54.79/34.97 inference(monotonicity,[status(thm)],[29403])).
% 54.79/34.98 tff(29405,plain,
% 54.79/34.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB158, constB159)) | v90(constB158, 0) | v100(constB159) | (~v90(constB159, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB158, 0) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, 0)))),
% 54.79/34.98 inference(transitivity,[status(thm)],[29404, 29402])).
% 54.79/34.98 tff(29406,plain,
% 54.79/34.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB158, constB159)) | v90(constB158, 0) | v100(constB159) | (~v90(constB159, 0)))),
% 54.79/34.98 inference(quant_inst,[status(thm)],[])).
% 54.79/34.98 tff(29407,plain,
% 54.79/34.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB158, 0) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, 0))),
% 54.79/34.98 inference(modus_ponens,[status(thm)],[29406, 29405])).
% 54.79/34.98 tff(29408,plain,
% 54.79/34.98 (v90(constB158, 0) | v100(constB159) | (~v90(constB159, 0))),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29407, 947, 29270])).
% 54.79/34.98 tff(29409,plain,
% 54.79/34.98 (v90(constB158, 0) | (~v90(constB159, 0))),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29408, 29282])).
% 54.79/34.98 tff(29410,plain,
% 54.79/34.98 (~v90(constB159, 0)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29409, 29401])).
% 54.79/34.98 tff(29411,assumption,(~v121(constB159)), introduced(assumption)).
% 54.79/34.98 tff(29412,plain,
% 54.79/34.98 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB159, 0) | (~v90(constB159, 1)) | v90(constB159, 2) | v121(constB159))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB159, 0) | (~v90(constB159, 1)) | v90(constB159, 2) | v121(constB159))),
% 54.79/34.98 inference(rewrite,[status(thm)],[])).
% 54.79/34.98 tff(29413,plain,
% 54.79/34.98 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB159, 0) | (~v90(constB159, 1)) | v90(constB159, 2) | v121(constB159))),
% 54.79/34.98 inference(quant_inst,[status(thm)],[])).
% 54.79/34.98 tff(29414,plain,
% 54.79/34.98 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB159, 0) | (~v90(constB159, 1)) | v90(constB159, 2) | v121(constB159)),
% 54.79/34.98 inference(modus_ponens,[status(thm)],[29413, 29412])).
% 54.79/34.98 tff(29415,plain,
% 54.79/34.98 (v90(constB159, 0) | (~v90(constB159, 1)) | v90(constB159, 2)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29414, 1731, 29411])).
% 54.79/34.98 tff(29416,plain,
% 54.79/34.98 ($false),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29415, 29410, 29376, 29345])).
% 54.79/34.98 tff(29417,plain,((~v120(constB157)) | v121(constB159)), inference(lemma,lemma(discharge,[]))).
% 54.79/34.98 tff(29418,plain,
% 54.79/34.98 (~v120(constB157)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29417, 29295])).
% 54.79/34.98 tff(29419,assumption,(~v90(constB158, 1)), introduced(assumption)).
% 54.79/34.98 tff(29420,assumption,(v90(constB158, 0)), introduced(assumption)).
% 54.79/34.98 tff(29421,plain,
% 54.79/34.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB157, 0) | (~nextState(constB157, constB158)) | v100(constB158) | (~v90(constB158, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB157, 0) | (~nextState(constB157, constB158)) | v100(constB158) | (~v90(constB158, 0)))),
% 54.79/34.98 inference(rewrite,[status(thm)],[])).
% 54.79/34.98 tff(29422,plain,
% 54.79/34.98 (((~nextState(constB157, constB158)) | v90(constB157, 0) | v100(constB158) | (~v90(constB158, 0))) <=> (v90(constB157, 0) | (~nextState(constB157, constB158)) | v100(constB158) | (~v90(constB158, 0)))),
% 54.79/34.98 inference(rewrite,[status(thm)],[])).
% 54.79/34.98 tff(29423,plain,
% 54.79/34.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB157, constB158)) | v90(constB157, 0) | v100(constB158) | (~v90(constB158, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB157, 0) | (~nextState(constB157, constB158)) | v100(constB158) | (~v90(constB158, 0))))),
% 54.79/34.98 inference(monotonicity,[status(thm)],[29422])).
% 54.79/34.98 tff(29424,plain,
% 54.79/34.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB157, constB158)) | v90(constB157, 0) | v100(constB158) | (~v90(constB158, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB157, 0) | (~nextState(constB157, constB158)) | v100(constB158) | (~v90(constB158, 0)))),
% 54.79/34.98 inference(transitivity,[status(thm)],[29423, 29421])).
% 54.79/34.98 tff(29425,plain,
% 54.79/34.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB157, constB158)) | v90(constB157, 0) | v100(constB158) | (~v90(constB158, 0)))),
% 54.79/34.98 inference(quant_inst,[status(thm)],[])).
% 54.79/34.98 tff(29426,plain,
% 54.79/34.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB157, 0) | (~nextState(constB157, constB158)) | v100(constB158) | (~v90(constB158, 0))),
% 54.79/34.98 inference(modus_ponens,[status(thm)],[29425, 29424])).
% 54.79/34.98 tff(29427,plain,
% 54.79/34.98 (v90(constB157, 0) | v100(constB158) | (~v90(constB158, 0))),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29426, 947, 29109])).
% 54.79/34.98 tff(29428,plain,
% 54.79/34.98 (v90(constB157, 0)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29427, 29103, 29420])).
% 54.79/34.98 tff(29429,plain,
% 54.79/34.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB157, 1)) | (~nextState(constB157, constB158)) | v100(constB158) | v90(constB158, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB157, 1)) | (~nextState(constB157, constB158)) | v100(constB158) | v90(constB158, 1))),
% 54.79/34.98 inference(rewrite,[status(thm)],[])).
% 54.79/34.98 tff(29430,plain,
% 54.79/34.98 (((~nextState(constB157, constB158)) | (~v90(constB157, 1)) | v100(constB158) | v90(constB158, 1)) <=> ((~v90(constB157, 1)) | (~nextState(constB157, constB158)) | v100(constB158) | v90(constB158, 1))),
% 54.79/34.98 inference(rewrite,[status(thm)],[])).
% 54.79/34.98 tff(29431,plain,
% 54.79/34.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB157, constB158)) | (~v90(constB157, 1)) | v100(constB158) | v90(constB158, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB157, 1)) | (~nextState(constB157, constB158)) | v100(constB158) | v90(constB158, 1)))),
% 54.79/34.98 inference(monotonicity,[status(thm)],[29430])).
% 54.79/34.98 tff(29432,plain,
% 54.79/34.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB157, constB158)) | (~v90(constB157, 1)) | v100(constB158) | v90(constB158, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB157, 1)) | (~nextState(constB157, constB158)) | v100(constB158) | v90(constB158, 1))),
% 54.79/34.98 inference(transitivity,[status(thm)],[29431, 29429])).
% 54.79/34.98 tff(29433,plain,
% 54.79/34.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB157, constB158)) | (~v90(constB157, 1)) | v100(constB158) | v90(constB158, 1))),
% 54.79/34.98 inference(quant_inst,[status(thm)],[])).
% 54.79/34.98 tff(29434,plain,
% 54.79/34.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB157, 1)) | (~nextState(constB157, constB158)) | v100(constB158) | v90(constB158, 1)),
% 54.79/34.98 inference(modus_ponens,[status(thm)],[29433, 29432])).
% 54.79/34.98 tff(29435,plain,
% 54.79/34.98 ((~v90(constB157, 1)) | v100(constB158) | v90(constB158, 1)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29434, 1641, 29109])).
% 54.79/34.98 tff(29436,plain,
% 54.79/34.98 (~v90(constB157, 1)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29435, 29103, 29419])).
% 54.79/34.98 tff(29437,assumption,(v90(constB157, 2)), introduced(assumption)).
% 54.79/34.98 tff(29438,plain,
% 54.79/34.98 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB157, 0)) | v90(constB157, 1) | (~v90(constB157, 2)) | v124(constB157))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB157, 0)) | v90(constB157, 1) | (~v90(constB157, 2)) | v124(constB157))),
% 54.79/34.98 inference(rewrite,[status(thm)],[])).
% 54.79/34.98 tff(29439,plain,
% 54.79/34.98 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB157, 0)) | v90(constB157, 1) | (~v90(constB157, 2)) | v124(constB157))),
% 54.79/34.98 inference(quant_inst,[status(thm)],[])).
% 54.79/34.98 tff(29440,plain,
% 54.79/34.98 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB157, 0)) | v90(constB157, 1) | (~v90(constB157, 2)) | v124(constB157)),
% 54.79/34.98 inference(modus_ponens,[status(thm)],[29439, 29438])).
% 54.79/34.98 tff(29441,plain,
% 54.79/34.98 ((~v90(constB157, 0)) | v90(constB157, 1) | v124(constB157)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29440, 2663, 29437])).
% 54.79/34.98 tff(29442,plain,
% 54.79/34.98 (v124(constB157)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29441, 29436, 29428])).
% 54.79/34.98 tff(29443,plain,
% 54.79/34.98 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB157)) | v114(constB157))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB157)) | v114(constB157))),
% 54.79/34.98 inference(rewrite,[status(thm)],[])).
% 54.79/34.98 tff(29444,plain,
% 54.79/34.98 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB157)) | v114(constB157))),
% 54.79/34.98 inference(quant_inst,[status(thm)],[])).
% 54.79/34.98 tff(29445,plain,
% 54.79/34.98 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB157)) | v114(constB157)),
% 54.79/34.98 inference(modus_ponens,[status(thm)],[29444, 29443])).
% 54.79/34.98 tff(29446,plain,
% 54.79/34.98 (v114(constB157)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29445, 2674, 29442])).
% 54.79/34.98 tff(29447,plain,
% 54.79/34.98 (~v113(constB157)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29310, 29150])).
% 54.79/34.98 tff(29448,plain,
% 54.79/34.98 ($false),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29167, 1049, 29447, 29446])).
% 54.79/34.98 tff(29449,plain,(v100(constB158) | (~v90(constB157, 2)) | v90(constB158, 1) | (~v90(constB158, 0))), inference(lemma,lemma(discharge,[]))).
% 54.79/34.98 tff(29450,plain,
% 54.79/34.98 (~v90(constB157, 2)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29449, 29419, 29103, 29264])).
% 54.79/34.98 tff(29451,plain,
% 54.79/34.98 (~v90(constB157, 1)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29435, 29419, 29103])).
% 54.79/34.98 tff(29452,plain,
% 54.79/34.98 (v90(constB157, 0)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29427, 29103, 29264])).
% 54.79/34.98 tff(29453,plain,
% 54.79/34.98 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB157, 0)) | v90(constB157, 1) | v90(constB157, 2) | v120(constB157))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB157, 0)) | v90(constB157, 1) | v90(constB157, 2) | v120(constB157))),
% 54.79/34.98 inference(rewrite,[status(thm)],[])).
% 54.79/34.98 tff(29454,plain,
% 54.79/34.98 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB157, 0)) | v90(constB157, 1) | v90(constB157, 2) | v120(constB157))),
% 54.79/34.98 inference(quant_inst,[status(thm)],[])).
% 54.79/34.98 tff(29455,plain,
% 54.79/34.98 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB157, 0)) | v90(constB157, 1) | v90(constB157, 2) | v120(constB157)),
% 54.79/34.98 inference(modus_ponens,[status(thm)],[29454, 29453])).
% 54.79/34.98 tff(29456,plain,
% 54.79/34.98 (v90(constB157, 1) | v90(constB157, 2) | v120(constB157)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29455, 1414, 29452])).
% 54.79/34.98 tff(29457,plain,
% 54.79/34.98 ($false),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29456, 29451, 29450, 29418])).
% 54.79/34.98 tff(29458,plain,(v90(constB158, 1) | v100(constB158)), inference(lemma,lemma(discharge,[]))).
% 54.79/34.98 tff(29459,plain,
% 54.79/34.98 (v90(constB158, 1)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29458, 29103])).
% 54.79/34.98 tff(29460,plain,
% 54.79/34.98 (~v114(constB157)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29167, 1049, 29447])).
% 54.79/34.98 tff(29461,plain,
% 54.79/34.98 (~v115(constB157)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29174, 1035, 29460])).
% 54.79/34.98 tff(29462,plain,
% 54.79/34.98 (~v116(constB157)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29188, 1021, 29461])).
% 54.79/34.98 tff(29463,plain,
% 54.79/34.98 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB157)) | v116(constB157))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB157)) | v116(constB157))),
% 54.79/34.98 inference(rewrite,[status(thm)],[])).
% 54.79/34.98 tff(29464,plain,
% 54.79/34.98 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB157)) | v116(constB157))),
% 54.79/34.98 inference(quant_inst,[status(thm)],[])).
% 54.79/34.98 tff(29465,plain,
% 54.79/34.98 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB157)) | v116(constB157)),
% 54.79/34.98 inference(modus_ponens,[status(thm)],[29464, 29463])).
% 54.79/34.98 tff(29466,plain,
% 54.79/34.98 (~v122(constB157)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29465, 2120, 29462])).
% 54.79/34.98 tff(29467,plain,
% 54.79/34.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB157, 1) | (~nextState(constB157, constB158)) | v100(constB158) | (~v90(constB158, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB157, 1) | (~nextState(constB157, constB158)) | v100(constB158) | (~v90(constB158, 1)))),
% 54.79/34.98 inference(rewrite,[status(thm)],[])).
% 54.79/34.98 tff(29468,plain,
% 54.79/34.98 (((~nextState(constB157, constB158)) | v90(constB157, 1) | v100(constB158) | (~v90(constB158, 1))) <=> (v90(constB157, 1) | (~nextState(constB157, constB158)) | v100(constB158) | (~v90(constB158, 1)))),
% 54.79/34.98 inference(rewrite,[status(thm)],[])).
% 54.79/34.98 tff(29469,plain,
% 54.79/34.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB157, constB158)) | v90(constB157, 1) | v100(constB158) | (~v90(constB158, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB157, 1) | (~nextState(constB157, constB158)) | v100(constB158) | (~v90(constB158, 1))))),
% 54.79/34.98 inference(monotonicity,[status(thm)],[29468])).
% 54.79/34.98 tff(29470,plain,
% 54.79/34.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB157, constB158)) | v90(constB157, 1) | v100(constB158) | (~v90(constB158, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB157, 1) | (~nextState(constB157, constB158)) | v100(constB158) | (~v90(constB158, 1)))),
% 54.79/34.98 inference(transitivity,[status(thm)],[29469, 29467])).
% 54.79/34.98 tff(29471,plain,
% 54.79/34.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB157, constB158)) | v90(constB157, 1) | v100(constB158) | (~v90(constB158, 1)))),
% 54.79/34.98 inference(quant_inst,[status(thm)],[])).
% 54.79/34.98 tff(29472,plain,
% 54.79/34.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB157, 1) | (~nextState(constB157, constB158)) | v100(constB158) | (~v90(constB158, 1))),
% 54.79/34.98 inference(modus_ponens,[status(thm)],[29471, 29470])).
% 54.79/34.98 tff(29473,plain,
% 54.79/34.98 (v90(constB157, 1) | v100(constB158) | (~v90(constB158, 1))),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29472, 926, 29109])).
% 54.79/34.98 tff(29474,plain,
% 54.79/34.98 (v90(constB157, 1)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29473, 29459, 29103])).
% 54.79/34.98 tff(29475,plain,
% 54.79/34.98 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB157, 0)) | (~v90(constB157, 1)) | v90(constB157, 2) | v122(constB157))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB157, 0)) | (~v90(constB157, 1)) | v90(constB157, 2) | v122(constB157))),
% 54.79/34.98 inference(rewrite,[status(thm)],[])).
% 54.79/34.98 tff(29476,plain,
% 54.79/34.98 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB157, 0)) | (~v90(constB157, 1)) | v90(constB157, 2) | v122(constB157))),
% 54.79/34.98 inference(quant_inst,[status(thm)],[])).
% 54.79/34.98 tff(29477,plain,
% 54.79/34.98 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB157, 0)) | (~v90(constB157, 1)) | v90(constB157, 2) | v122(constB157)),
% 54.79/34.98 inference(modus_ponens,[status(thm)],[29476, 29475])).
% 54.79/34.98 tff(29478,plain,
% 54.79/34.98 ((~v90(constB157, 1)) | v90(constB157, 2) | v122(constB157)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29477, 1956, 29452])).
% 54.79/34.98 tff(29479,plain,
% 54.79/34.98 (v90(constB157, 2)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29478, 29474, 29466])).
% 54.79/34.98 tff(29480,assumption,(v121(constB153)), introduced(assumption)).
% 54.79/34.98 tff(29481,plain,
% 54.79/34.98 (v117(constB153)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[28976, 1742, 29480])).
% 54.79/34.98 tff(29482,plain,
% 54.79/34.98 (v116(constB153)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[28972, 1007, 29481])).
% 54.79/34.98 tff(29483,plain,
% 54.79/34.98 (v115(constB153)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[28965, 1021, 29482])).
% 54.79/34.98 tff(29484,plain,
% 54.79/34.98 (v114(constB153)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[28954, 1035, 29483])).
% 54.79/34.98 tff(29485,plain,
% 54.79/34.98 (v113(constB153)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[28950, 1049, 29484])).
% 54.79/34.98 tff(29486,plain,
% 54.79/34.98 (v112(constB153)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29024, 29485])).
% 54.79/34.98 tff(29487,plain,
% 54.79/34.98 (v108(constB153)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29031, 1075, 29486])).
% 54.79/34.98 tff(29488,plain,
% 54.79/34.98 (v110(constB154)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29039, 29487])).
% 54.79/34.98 tff(29489,plain,
% 54.79/34.98 (v100(constB154)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29062, 29488])).
% 54.79/34.98 tff(29490,plain,
% 54.79/34.98 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB153)) | (~v130(constB153, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB153)) | (~v130(constB153, 2)))),
% 54.79/34.98 inference(rewrite,[status(thm)],[])).
% 54.79/34.98 tff(29491,plain,
% 54.79/34.98 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB153)) | (~v130(constB153, 2)))),
% 54.79/34.98 inference(quant_inst,[status(thm)],[])).
% 54.79/34.98 tff(29492,plain,
% 54.79/34.98 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB153)) | (~v130(constB153, 2))),
% 54.79/34.98 inference(modus_ponens,[status(thm)],[29491, 29490])).
% 54.79/34.98 tff(29493,plain,
% 54.79/34.98 (~v130(constB153, 2)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29492, 1821, 29480])).
% 54.79/34.98 tff(29494,plain,
% 54.79/34.98 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB153, 2)) | v26(constB153) | v130(constB153, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB153, 2)) | v26(constB153) | v130(constB153, 2))),
% 54.79/34.98 inference(rewrite,[status(thm)],[])).
% 54.79/34.98 tff(29495,plain,
% 54.79/34.98 ((v26(constB153) | v130(constB153, 2) | (~v127(constB153, 2))) <=> ((~v127(constB153, 2)) | v26(constB153) | v130(constB153, 2))),
% 54.79/34.98 inference(rewrite,[status(thm)],[])).
% 54.79/34.98 tff(29496,plain,
% 54.79/34.98 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB153) | v130(constB153, 2) | (~v127(constB153, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB153, 2)) | v26(constB153) | v130(constB153, 2)))),
% 54.79/34.98 inference(monotonicity,[status(thm)],[29495])).
% 54.79/34.98 tff(29497,plain,
% 54.79/34.98 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB153) | v130(constB153, 2) | (~v127(constB153, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB153, 2)) | v26(constB153) | v130(constB153, 2))),
% 54.79/34.98 inference(transitivity,[status(thm)],[29496, 29494])).
% 54.79/34.98 tff(29498,plain,
% 54.79/34.98 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB153) | v130(constB153, 2) | (~v127(constB153, 2)))),
% 54.79/34.98 inference(quant_inst,[status(thm)],[])).
% 54.79/34.98 tff(29499,plain,
% 54.79/34.98 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB153, 2)) | v26(constB153) | v130(constB153, 2)),
% 54.79/34.98 inference(modus_ponens,[status(thm)],[29498, 29497])).
% 54.79/34.98 tff(29500,plain,
% 54.79/34.98 ((~v127(constB153, 2)) | v130(constB153, 2)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29499, 1190, 28930])).
% 54.79/34.98 tff(29501,plain,
% 54.79/34.98 (~v127(constB153, 2)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29500, 29493])).
% 54.79/34.98 tff(29502,plain,
% 54.79/34.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB153, constB154)) | v127(constB153, 2) | (~v129(constB154, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB153, constB154)) | v127(constB153, 2) | (~v129(constB154, 2)))),
% 54.79/34.98 inference(rewrite,[status(thm)],[])).
% 54.79/34.98 tff(29503,plain,
% 54.79/34.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB153, constB154)) | v127(constB153, 2) | (~v129(constB154, 2)))),
% 54.79/34.98 inference(quant_inst,[status(thm)],[])).
% 54.79/34.98 tff(29504,plain,
% 54.79/34.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB153, constB154)) | v127(constB153, 2) | (~v129(constB154, 2))),
% 54.79/34.98 inference(modus_ponens,[status(thm)],[29503, 29502])).
% 54.79/34.98 tff(29505,plain,
% 54.79/34.98 (v127(constB153, 2) | (~v129(constB154, 2))),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29504, 1208, 28938])).
% 54.79/34.98 tff(29506,plain,
% 54.79/34.98 (~v129(constB154, 2)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29505, 29501])).
% 54.79/34.98 tff(29507,plain,
% 54.79/34.98 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB154, 2)) | v129(constB154, 2) | (~v100(constB154)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB154, 2)) | v129(constB154, 2) | (~v100(constB154)))),
% 54.79/34.98 inference(rewrite,[status(thm)],[])).
% 54.79/34.98 tff(29508,plain,
% 54.79/34.98 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB154, 2)) | v129(constB154, 2) | (~v100(constB154)))),
% 54.79/34.98 inference(quant_inst,[status(thm)],[])).
% 54.79/34.98 tff(29509,plain,
% 54.79/34.98 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB154, 2)) | v129(constB154, 2) | (~v100(constB154))),
% 54.79/34.98 inference(modus_ponens,[status(thm)],[29508, 29507])).
% 54.79/34.98 tff(29510,plain,
% 54.79/34.98 ((~v90(constB154, 2)) | (~v100(constB154))),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29509, 1223, 29506])).
% 54.79/34.98 tff(29511,plain,
% 54.79/34.98 (~v90(constB154, 2)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29510, 29489])).
% 54.79/34.98 tff(29512,plain,
% 54.79/34.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB154, 2) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB154, 2) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, 2)))),
% 54.79/34.98 inference(rewrite,[status(thm)],[])).
% 54.79/34.98 tff(29513,plain,
% 54.79/34.98 (((~nextState(constB154, constB155)) | v90(constB154, 2) | v100(constB155) | (~v90(constB155, 2))) <=> (v90(constB154, 2) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, 2)))),
% 54.79/34.98 inference(rewrite,[status(thm)],[])).
% 54.79/34.98 tff(29514,plain,
% 54.79/34.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB154, constB155)) | v90(constB154, 2) | v100(constB155) | (~v90(constB155, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB154, 2) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, 2))))),
% 54.79/34.98 inference(monotonicity,[status(thm)],[29513])).
% 54.79/34.98 tff(29515,plain,
% 54.79/34.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB154, constB155)) | v90(constB154, 2) | v100(constB155) | (~v90(constB155, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB154, 2) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, 2)))),
% 54.79/34.98 inference(transitivity,[status(thm)],[29514, 29512])).
% 54.79/34.98 tff(29516,plain,
% 54.79/34.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB154, constB155)) | v90(constB154, 2) | v100(constB155) | (~v90(constB155, 2)))),
% 54.79/34.98 inference(quant_inst,[status(thm)],[])).
% 54.79/34.98 tff(29517,plain,
% 54.79/34.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB154, 2) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, 2))),
% 54.79/34.98 inference(modus_ponens,[status(thm)],[29516, 29515])).
% 54.79/34.98 tff(29518,plain,
% 54.79/34.98 (v90(constB154, 2) | v100(constB155) | (~v90(constB155, 2))),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29517, 905, 29077])).
% 54.79/34.98 tff(29519,plain,
% 54.79/34.98 (v90(constB154, 2) | (~v90(constB155, 2))),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29518, 29089])).
% 54.79/34.98 tff(29520,plain,
% 54.79/34.98 (~v90(constB155, 2)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29519, 29511])).
% 54.79/34.98 tff(29521,plain,
% 54.79/34.98 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB153)) | v130(constB153, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB153)) | v130(constB153, 1))),
% 54.79/34.98 inference(rewrite,[status(thm)],[])).
% 54.79/34.98 tff(29522,plain,
% 54.79/34.98 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB153)) | v130(constB153, 1))),
% 54.79/34.98 inference(quant_inst,[status(thm)],[])).
% 54.79/34.98 tff(29523,plain,
% 54.79/34.98 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB153)) | v130(constB153, 1)),
% 54.79/34.98 inference(modus_ponens,[status(thm)],[29522, 29521])).
% 54.79/34.98 tff(29524,plain,
% 54.79/34.98 (v130(constB153, 1)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29523, 1877, 29480])).
% 54.79/34.98 tff(29525,plain,
% 54.79/34.98 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB153) | (~v130(constB153, 1)) | v127(constB153, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB153) | (~v130(constB153, 1)) | v127(constB153, 1))),
% 54.79/34.98 inference(rewrite,[status(thm)],[])).
% 54.79/34.98 tff(29526,plain,
% 54.79/34.98 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB153) | (~v130(constB153, 1)) | v127(constB153, 1))),
% 54.79/34.98 inference(quant_inst,[status(thm)],[])).
% 54.79/34.98 tff(29527,plain,
% 54.79/34.98 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB153) | (~v130(constB153, 1)) | v127(constB153, 1)),
% 54.79/34.98 inference(modus_ponens,[status(thm)],[29526, 29525])).
% 54.79/34.98 tff(29528,plain,
% 54.79/34.98 ((~v130(constB153, 1)) | v127(constB153, 1)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29527, 1593, 28930])).
% 54.79/34.98 tff(29529,plain,
% 54.79/34.98 (v127(constB153, 1)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29528, 29524])).
% 54.79/34.98 tff(29530,plain,
% 54.79/34.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB153, constB154)) | (~v127(constB153, 1)) | v129(constB154, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB153, constB154)) | (~v127(constB153, 1)) | v129(constB154, 1))),
% 54.79/34.98 inference(rewrite,[status(thm)],[])).
% 54.79/34.98 tff(29531,plain,
% 54.79/34.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB153, constB154)) | (~v127(constB153, 1)) | v129(constB154, 1))),
% 54.79/34.98 inference(quant_inst,[status(thm)],[])).
% 54.79/34.98 tff(29532,plain,
% 54.79/34.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB153, constB154)) | (~v127(constB153, 1)) | v129(constB154, 1)),
% 54.79/34.98 inference(modus_ponens,[status(thm)],[29531, 29530])).
% 54.79/34.98 tff(29533,plain,
% 54.79/34.98 ((~v127(constB153, 1)) | v129(constB154, 1)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29532, 1608, 28938])).
% 54.79/34.98 tff(29534,plain,
% 54.79/34.98 (v129(constB154, 1)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29533, 29529])).
% 54.79/34.98 tff(29535,plain,
% 54.79/34.98 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB154, 1) | (~v129(constB154, 1)) | (~v100(constB154)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB154, 1) | (~v129(constB154, 1)) | (~v100(constB154)))),
% 54.79/34.98 inference(rewrite,[status(thm)],[])).
% 54.79/34.98 tff(29536,plain,
% 54.79/34.98 ((v90(constB154, 1) | (~v100(constB154)) | (~v129(constB154, 1))) <=> (v90(constB154, 1) | (~v129(constB154, 1)) | (~v100(constB154)))),
% 54.79/34.98 inference(rewrite,[status(thm)],[])).
% 54.79/34.98 tff(29537,plain,
% 54.79/34.98 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB154, 1) | (~v100(constB154)) | (~v129(constB154, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB154, 1) | (~v129(constB154, 1)) | (~v100(constB154))))),
% 54.79/34.98 inference(monotonicity,[status(thm)],[29536])).
% 54.79/34.98 tff(29538,plain,
% 54.79/34.98 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB154, 1) | (~v100(constB154)) | (~v129(constB154, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB154, 1) | (~v129(constB154, 1)) | (~v100(constB154)))),
% 54.79/34.98 inference(transitivity,[status(thm)],[29537, 29535])).
% 54.79/34.98 tff(29539,plain,
% 54.79/34.98 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB154, 1) | (~v100(constB154)) | (~v129(constB154, 1)))),
% 54.79/34.98 inference(quant_inst,[status(thm)],[])).
% 54.79/34.98 tff(29540,plain,
% 54.79/34.98 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB154, 1) | (~v129(constB154, 1)) | (~v100(constB154))),
% 54.79/34.98 inference(modus_ponens,[status(thm)],[29539, 29538])).
% 54.79/34.98 tff(29541,plain,
% 54.79/34.98 (v90(constB154, 1) | (~v100(constB154))),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29540, 1623, 29534])).
% 54.79/34.98 tff(29542,plain,
% 54.79/34.98 (v90(constB154, 1)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29541, 29489])).
% 54.79/34.98 tff(29543,plain,
% 54.79/34.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB154, 1)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB154, 1)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, 1))),
% 54.79/34.98 inference(rewrite,[status(thm)],[])).
% 54.79/34.98 tff(29544,plain,
% 54.79/34.98 (((~nextState(constB154, constB155)) | (~v90(constB154, 1)) | v100(constB155) | v90(constB155, 1)) <=> ((~v90(constB154, 1)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, 1))),
% 54.79/34.98 inference(rewrite,[status(thm)],[])).
% 54.79/34.98 tff(29545,plain,
% 54.79/34.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB154, constB155)) | (~v90(constB154, 1)) | v100(constB155) | v90(constB155, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB154, 1)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, 1)))),
% 54.79/34.98 inference(monotonicity,[status(thm)],[29544])).
% 54.79/34.98 tff(29546,plain,
% 54.79/34.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB154, constB155)) | (~v90(constB154, 1)) | v100(constB155) | v90(constB155, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB154, 1)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, 1))),
% 54.79/34.98 inference(transitivity,[status(thm)],[29545, 29543])).
% 54.79/34.98 tff(29547,plain,
% 54.79/34.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB154, constB155)) | (~v90(constB154, 1)) | v100(constB155) | v90(constB155, 1))),
% 54.79/34.98 inference(quant_inst,[status(thm)],[])).
% 54.79/34.98 tff(29548,plain,
% 54.79/34.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB154, 1)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, 1)),
% 54.79/34.98 inference(modus_ponens,[status(thm)],[29547, 29546])).
% 54.79/34.98 tff(29549,plain,
% 54.79/34.98 ((~v90(constB154, 1)) | v100(constB155) | v90(constB155, 1)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29548, 1641, 29077])).
% 54.79/34.98 tff(29550,plain,
% 54.79/34.98 ((~v90(constB154, 1)) | v90(constB155, 1)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29549, 29089])).
% 54.79/34.98 tff(29551,plain,
% 54.79/34.98 (v90(constB155, 1)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29550, 29542])).
% 54.79/34.98 tff(29552,plain,
% 54.79/34.98 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB153)) | v130(constB153, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB153)) | v130(constB153, 0))),
% 54.79/34.98 inference(rewrite,[status(thm)],[])).
% 54.79/34.98 tff(29553,plain,
% 54.79/34.98 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB153)) | v130(constB153, 0))),
% 54.79/34.98 inference(quant_inst,[status(thm)],[])).
% 54.79/34.98 tff(29554,plain,
% 54.79/34.98 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB153)) | v130(constB153, 0)),
% 54.79/34.98 inference(modus_ponens,[status(thm)],[29553, 29552])).
% 54.79/34.98 tff(29555,plain,
% 54.79/34.98 (v130(constB153, 0)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29554, 1915, 29480])).
% 54.79/34.98 tff(29556,plain,
% 54.79/34.98 (v127(constB153, 0)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[28934, 29555])).
% 54.79/34.98 tff(29557,plain,
% 54.79/34.98 (v129(constB154, 0)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[28942, 29556])).
% 54.79/34.98 tff(29558,plain,
% 54.79/34.98 (v90(constB154, 0) | (~v100(constB154))),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29069, 1377, 29557])).
% 54.79/34.98 tff(29559,plain,
% 54.79/34.98 (v90(constB154, 0)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29558, 29489])).
% 54.79/34.98 tff(29560,plain,
% 54.79/34.98 (v90(constB155, 0)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29097, 29559])).
% 54.79/34.98 tff(29561,plain,
% 54.79/34.98 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB155, 0)) | (~v90(constB155, 1)) | v90(constB155, 2) | v122(constB155))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB155, 0)) | (~v90(constB155, 1)) | v90(constB155, 2) | v122(constB155))),
% 54.79/34.98 inference(rewrite,[status(thm)],[])).
% 54.79/34.98 tff(29562,plain,
% 54.79/34.98 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB155, 0)) | (~v90(constB155, 1)) | v90(constB155, 2) | v122(constB155))),
% 54.79/34.98 inference(quant_inst,[status(thm)],[])).
% 54.79/34.98 tff(29563,plain,
% 54.79/34.98 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB155, 0)) | (~v90(constB155, 1)) | v90(constB155, 2) | v122(constB155)),
% 54.79/34.98 inference(modus_ponens,[status(thm)],[29562, 29561])).
% 54.79/34.98 tff(29564,plain,
% 54.79/34.98 (v122(constB155)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29563, 1956, 29560, 29551, 29520])).
% 54.79/34.98 tff(29565,plain,
% 54.79/34.98 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB155)) | (~v130(constB155, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB155)) | (~v130(constB155, 0)))),
% 54.79/34.98 inference(rewrite,[status(thm)],[])).
% 54.79/34.98 tff(29566,plain,
% 54.79/34.98 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB155)) | (~v130(constB155, 0)))),
% 54.79/34.98 inference(quant_inst,[status(thm)],[])).
% 54.79/34.98 tff(29567,plain,
% 54.79/34.98 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB155)) | (~v130(constB155, 0))),
% 54.79/34.98 inference(modus_ponens,[status(thm)],[29566, 29565])).
% 54.79/34.98 tff(29568,plain,
% 54.79/34.98 (~v130(constB155, 0)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29567, 2407, 29564])).
% 54.79/34.98 tff(29569,assumption,(v26(constB155)), introduced(assumption)).
% 54.79/34.98 tff(29570,plain,
% 54.79/34.98 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB155))),
% 54.79/34.98 inference(quant_inst,[status(thm)],[])).
% 54.79/34.98 tff(29571,plain,
% 54.79/34.98 ($false),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29570, 828, 29569])).
% 54.79/34.98 tff(29572,plain,(~v26(constB155)), inference(lemma,lemma(discharge,[]))).
% 54.79/34.98 tff(29573,plain,
% 54.79/34.98 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB155, 0)) | v26(constB155) | v130(constB155, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB155, 0)) | v26(constB155) | v130(constB155, 0))),
% 54.79/34.98 inference(rewrite,[status(thm)],[])).
% 54.79/34.98 tff(29574,plain,
% 54.79/34.98 ((v26(constB155) | v130(constB155, 0) | (~v127(constB155, 0))) <=> ((~v127(constB155, 0)) | v26(constB155) | v130(constB155, 0))),
% 54.79/34.98 inference(rewrite,[status(thm)],[])).
% 54.79/34.98 tff(29575,plain,
% 54.79/34.98 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB155) | v130(constB155, 0) | (~v127(constB155, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB155, 0)) | v26(constB155) | v130(constB155, 0)))),
% 54.79/34.98 inference(monotonicity,[status(thm)],[29574])).
% 54.79/34.98 tff(29576,plain,
% 54.79/34.98 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB155) | v130(constB155, 0) | (~v127(constB155, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB155, 0)) | v26(constB155) | v130(constB155, 0))),
% 54.79/34.98 inference(transitivity,[status(thm)],[29575, 29573])).
% 54.79/34.98 tff(29577,plain,
% 54.79/34.98 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB155) | v130(constB155, 0) | (~v127(constB155, 0)))),
% 54.79/34.98 inference(quant_inst,[status(thm)],[])).
% 54.79/34.98 tff(29578,plain,
% 54.79/34.98 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB155, 0)) | v26(constB155) | v130(constB155, 0)),
% 54.79/34.98 inference(modus_ponens,[status(thm)],[29577, 29576])).
% 54.79/34.98 tff(29579,plain,
% 54.79/34.98 ((~v127(constB155, 0)) | v130(constB155, 0)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29578, 1671, 29572])).
% 54.79/34.98 tff(29580,plain,
% 54.79/34.98 (~v127(constB155, 0)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29579, 29568])).
% 54.79/34.98 tff(29581,plain,
% 54.79/34.98 (nextState(constB155, constB156) <=> nextState(constB155, constB156)),
% 54.79/34.98 inference(rewrite,[status(thm)],[])).
% 54.79/34.98 tff(29582,axiom,(nextState(constB155, constB156)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_155_1')).
% 54.79/34.98 tff(29583,plain,
% 54.79/34.98 (nextState(constB155, constB156)),
% 54.79/34.98 inference(modus_ponens,[status(thm)],[29582, 29581])).
% 54.79/34.98 tff(29584,plain,
% 54.79/34.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB155, constB156)) | v127(constB155, 0) | (~v129(constB156, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB155, constB156)) | v127(constB155, 0) | (~v129(constB156, 0)))),
% 54.79/34.98 inference(rewrite,[status(thm)],[])).
% 54.79/34.98 tff(29585,plain,
% 54.79/34.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB155, constB156)) | v127(constB155, 0) | (~v129(constB156, 0)))),
% 54.79/34.98 inference(quant_inst,[status(thm)],[])).
% 54.79/34.98 tff(29586,plain,
% 54.79/34.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB155, constB156)) | v127(constB155, 0) | (~v129(constB156, 0))),
% 54.79/34.98 inference(modus_ponens,[status(thm)],[29585, 29584])).
% 54.79/34.98 tff(29587,plain,
% 54.79/34.98 (v127(constB155, 0) | (~v129(constB156, 0))),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29586, 1689, 29583])).
% 54.79/34.98 tff(29588,plain,
% 54.79/34.98 (~v129(constB156, 0)),
% 54.79/34.98 inference(unit_resolution,[status(thm)],[29587, 29580])).
% 54.79/34.98 tff(29589,plain,
% 54.79/34.98 (nextState(constB156, constB157) <=> nextState(constB156, constB157)),
% 54.79/34.98 inference(rewrite,[status(thm)],[])).
% 54.79/34.98 tff(29590,axiom,(nextState(constB156, constB157)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_156_1')).
% 54.79/34.98 tff(29591,plain,
% 54.79/34.98 (nextState(constB156, constB157)),
% 54.79/34.98 inference(modus_ponens,[status(thm)],[29590, 29589])).
% 54.79/34.98 tff(29592,plain,
% 54.79/34.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157)))),
% 54.79/34.98 inference(rewrite,[status(thm)],[])).
% 54.79/34.98 tff(29593,plain,
% 54.79/34.98 (((~nextState(constB156, constB157)) | (~v101(constB157)) | v1(constB157)) <=> (v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157)))),
% 54.79/34.98 inference(rewrite,[status(thm)],[])).
% 54.79/34.98 tff(29594,plain,
% 54.79/34.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB156, constB157)) | (~v101(constB157)) | v1(constB157))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157))))),
% 54.79/34.98 inference(monotonicity,[status(thm)],[29593])).
% 54.79/34.98 tff(29595,plain,
% 54.79/34.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB156, constB157)) | (~v101(constB157)) | v1(constB157))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157)))),
% 54.79/34.98 inference(transitivity,[status(thm)],[29594, 29592])).
% 54.79/34.98 tff(29596,plain,
% 54.79/34.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB156, constB157)) | (~v101(constB157)) | v1(constB157))),
% 54.79/34.98 inference(quant_inst,[status(thm)],[])).
% 54.79/34.98 tff(29597,plain,
% 54.79/34.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB157) | (~nextState(constB156, constB157)) | (~v101(constB157))),
% 54.79/34.99 inference(modus_ponens,[status(thm)],[29596, 29595])).
% 54.79/34.99 tff(29598,plain,
% 54.79/34.99 (~v101(constB157)),
% 54.79/34.99 inference(unit_resolution,[status(thm)],[29597, 873, 29591, 29106])).
% 54.79/34.99 tff(29599,plain,
% 54.79/34.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB156, constB157)) | v101(constB157) | (~v100(constB157)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB156, constB157)) | v101(constB157) | (~v100(constB157)))),
% 54.79/34.99 inference(rewrite,[status(thm)],[])).
% 54.79/34.99 tff(29600,plain,
% 54.79/34.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB156, constB157)) | v101(constB157) | (~v100(constB157)))),
% 54.79/34.99 inference(quant_inst,[status(thm)],[])).
% 54.79/34.99 tff(29601,plain,
% 54.79/34.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB156, constB157)) | v101(constB157) | (~v100(constB157))),
% 54.79/34.99 inference(modus_ponens,[status(thm)],[29600, 29599])).
% 54.79/34.99 tff(29602,plain,
% 54.79/34.99 (v101(constB157) | (~v100(constB157))),
% 54.79/34.99 inference(unit_resolution,[status(thm)],[29601, 890, 29591])).
% 54.79/34.99 tff(29603,plain,
% 54.79/34.99 (~v100(constB157)),
% 54.79/34.99 inference(unit_resolution,[status(thm)],[29602, 29598])).
% 54.79/34.99 tff(29604,plain,
% 54.79/34.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB156, 2) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB156, 2) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, 2)))),
% 54.79/34.99 inference(rewrite,[status(thm)],[])).
% 54.79/34.99 tff(29605,plain,
% 54.79/34.99 (((~nextState(constB156, constB157)) | v90(constB156, 2) | v100(constB157) | (~v90(constB157, 2))) <=> (v90(constB156, 2) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, 2)))),
% 54.79/34.99 inference(rewrite,[status(thm)],[])).
% 54.79/34.99 tff(29606,plain,
% 54.79/34.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB156, constB157)) | v90(constB156, 2) | v100(constB157) | (~v90(constB157, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB156, 2) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, 2))))),
% 54.79/34.99 inference(monotonicity,[status(thm)],[29605])).
% 54.79/34.99 tff(29607,plain,
% 54.79/34.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB156, constB157)) | v90(constB156, 2) | v100(constB157) | (~v90(constB157, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB156, 2) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, 2)))),
% 54.79/34.99 inference(transitivity,[status(thm)],[29606, 29604])).
% 54.79/34.99 tff(29608,plain,
% 54.79/34.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB156, constB157)) | v90(constB156, 2) | v100(constB157) | (~v90(constB157, 2)))),
% 54.79/34.99 inference(quant_inst,[status(thm)],[])).
% 54.79/34.99 tff(29609,plain,
% 54.79/34.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB156, 2) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, 2))),
% 54.79/34.99 inference(modus_ponens,[status(thm)],[29608, 29607])).
% 54.79/34.99 tff(29610,plain,
% 54.79/34.99 (v90(constB156, 2) | v100(constB157) | (~v90(constB157, 2))),
% 54.79/34.99 inference(unit_resolution,[status(thm)],[29609, 905, 29591])).
% 54.79/34.99 tff(29611,plain,
% 54.79/34.99 (v90(constB156, 2) | (~v90(constB157, 2))),
% 54.79/34.99 inference(unit_resolution,[status(thm)],[29610, 29603])).
% 54.79/34.99 tff(29612,plain,
% 54.79/34.99 (v90(constB156, 2)),
% 54.79/34.99 inference(unit_resolution,[status(thm)],[29611, 29437])).
% 54.79/34.99 tff(29613,plain,
% 54.79/34.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB155, 2) | (~nextState(constB155, constB156)) | v100(constB156) | (~v90(constB156, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB155, 2) | (~nextState(constB155, constB156)) | v100(constB156) | (~v90(constB156, 2)))),
% 54.79/34.99 inference(rewrite,[status(thm)],[])).
% 54.79/34.99 tff(29614,plain,
% 54.79/34.99 (((~nextState(constB155, constB156)) | v90(constB155, 2) | v100(constB156) | (~v90(constB156, 2))) <=> (v90(constB155, 2) | (~nextState(constB155, constB156)) | v100(constB156) | (~v90(constB156, 2)))),
% 54.79/34.99 inference(rewrite,[status(thm)],[])).
% 54.79/34.99 tff(29615,plain,
% 54.79/34.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB155, constB156)) | v90(constB155, 2) | v100(constB156) | (~v90(constB156, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB155, 2) | (~nextState(constB155, constB156)) | v100(constB156) | (~v90(constB156, 2))))),
% 54.79/34.99 inference(monotonicity,[status(thm)],[29614])).
% 54.79/34.99 tff(29616,plain,
% 54.79/34.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB155, constB156)) | v90(constB155, 2) | v100(constB156) | (~v90(constB156, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB155, 2) | (~nextState(constB155, constB156)) | v100(constB156) | (~v90(constB156, 2)))),
% 54.79/34.99 inference(transitivity,[status(thm)],[29615, 29613])).
% 54.79/34.99 tff(29617,plain,
% 54.79/34.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB155, constB156)) | v90(constB155, 2) | v100(constB156) | (~v90(constB156, 2)))),
% 54.79/34.99 inference(quant_inst,[status(thm)],[])).
% 54.79/34.99 tff(29618,plain,
% 54.79/34.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB155, 2) | (~nextState(constB155, constB156)) | v100(constB156) | (~v90(constB156, 2))),
% 54.79/34.99 inference(modus_ponens,[status(thm)],[29617, 29616])).
% 54.79/34.99 tff(29619,plain,
% 54.79/34.99 (v90(constB155, 2) | v100(constB156) | (~v90(constB156, 2))),
% 54.79/34.99 inference(unit_resolution,[status(thm)],[29618, 905, 29583])).
% 54.79/34.99 tff(29620,plain,
% 54.79/34.99 (v100(constB156)),
% 54.79/34.99 inference(unit_resolution,[status(thm)],[29619, 29520, 29612])).
% 54.79/34.99 tff(29621,plain,
% 54.79/34.99 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB156, 0)) | v129(constB156, 0) | (~v100(constB156)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB156, 0)) | v129(constB156, 0) | (~v100(constB156)))),
% 54.79/34.99 inference(rewrite,[status(thm)],[])).
% 54.79/34.99 tff(29622,plain,
% 54.79/34.99 (((~v90(constB156, 0)) | (~v100(constB156)) | v129(constB156, 0)) <=> ((~v90(constB156, 0)) | v129(constB156, 0) | (~v100(constB156)))),
% 54.79/34.99 inference(rewrite,[status(thm)],[])).
% 54.79/34.99 tff(29623,plain,
% 54.79/34.99 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB156, 0)) | (~v100(constB156)) | v129(constB156, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB156, 0)) | v129(constB156, 0) | (~v100(constB156))))),
% 54.79/34.99 inference(monotonicity,[status(thm)],[29622])).
% 54.79/34.99 tff(29624,plain,
% 54.79/34.99 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB156, 0)) | (~v100(constB156)) | v129(constB156, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB156, 0)) | v129(constB156, 0) | (~v100(constB156)))),
% 54.79/34.99 inference(transitivity,[status(thm)],[29623, 29621])).
% 54.79/34.99 tff(29625,plain,
% 54.79/34.99 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB156, 0)) | (~v100(constB156)) | v129(constB156, 0))),
% 54.79/34.99 inference(quant_inst,[status(thm)],[])).
% 54.79/34.99 tff(29626,plain,
% 54.79/34.99 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB156, 0)) | v129(constB156, 0) | (~v100(constB156))),
% 54.79/34.99 inference(modus_ponens,[status(thm)],[29625, 29624])).
% 54.79/34.99 tff(29627,plain,
% 54.79/34.99 ((~v90(constB156, 0)) | v129(constB156, 0)),
% 54.79/34.99 inference(unit_resolution,[status(thm)],[29626, 1704, 29620])).
% 54.79/34.99 tff(29628,plain,
% 54.79/34.99 (~v90(constB156, 0)),
% 54.79/34.99 inference(unit_resolution,[status(thm)],[29627, 29588])).
% 54.79/34.99 tff(29629,plain,
% 54.79/34.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB156, 0) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB156, 0) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, 0)))),
% 54.79/34.99 inference(rewrite,[status(thm)],[])).
% 54.79/34.99 tff(29630,plain,
% 54.79/34.99 (((~nextState(constB156, constB157)) | v90(constB156, 0) | v100(constB157) | (~v90(constB157, 0))) <=> (v90(constB156, 0) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, 0)))),
% 54.79/34.99 inference(rewrite,[status(thm)],[])).
% 54.79/34.99 tff(29631,plain,
% 54.79/34.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB156, constB157)) | v90(constB156, 0) | v100(constB157) | (~v90(constB157, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB156, 0) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, 0))))),
% 54.79/34.99 inference(monotonicity,[status(thm)],[29630])).
% 54.79/34.99 tff(29632,plain,
% 54.79/34.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB156, constB157)) | v90(constB156, 0) | v100(constB157) | (~v90(constB157, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB156, 0) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, 0)))),
% 54.79/34.99 inference(transitivity,[status(thm)],[29631, 29629])).
% 54.79/34.99 tff(29633,plain,
% 54.79/34.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB156, constB157)) | v90(constB156, 0) | v100(constB157) | (~v90(constB157, 0)))),
% 54.79/34.99 inference(quant_inst,[status(thm)],[])).
% 54.79/34.99 tff(29634,plain,
% 54.79/34.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB156, 0) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, 0))),
% 54.79/34.99 inference(modus_ponens,[status(thm)],[29633, 29632])).
% 54.79/34.99 tff(29635,plain,
% 54.79/34.99 (v90(constB156, 0) | v100(constB157) | (~v90(constB157, 0))),
% 54.79/34.99 inference(unit_resolution,[status(thm)],[29634, 947, 29591])).
% 54.79/34.99 tff(29636,plain,
% 54.79/34.99 (v90(constB156, 0) | (~v90(constB157, 0))),
% 54.79/34.99 inference(unit_resolution,[status(thm)],[29635, 29603])).
% 54.79/34.99 tff(29637,plain,
% 54.79/34.99 (~v90(constB157, 0)),
% 54.79/34.99 inference(unit_resolution,[status(thm)],[29636, 29628])).
% 54.79/34.99 tff(29638,plain,
% 54.79/34.99 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB155)) | (~v130(constB155, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB155)) | (~v130(constB155, 1)))),
% 54.79/34.99 inference(rewrite,[status(thm)],[])).
% 54.79/34.99 tff(29639,plain,
% 54.79/34.99 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB155)) | (~v130(constB155, 1)))),
% 54.79/34.99 inference(quant_inst,[status(thm)],[])).
% 54.79/34.99 tff(29640,plain,
% 54.79/34.99 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB155)) | (~v130(constB155, 1))),
% 54.79/34.99 inference(modus_ponens,[status(thm)],[29639, 29638])).
% 54.79/34.99 tff(29641,plain,
% 54.79/34.99 (~v130(constB155, 1)),
% 54.79/34.99 inference(unit_resolution,[status(thm)],[29640, 2366, 29564])).
% 54.79/34.99 tff(29642,plain,
% 54.79/34.99 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB155, 1)) | v26(constB155) | v130(constB155, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB155, 1)) | v26(constB155) | v130(constB155, 1))),
% 54.79/34.99 inference(rewrite,[status(thm)],[])).
% 54.79/34.99 tff(29643,plain,
% 54.79/34.99 ((v26(constB155) | v130(constB155, 1) | (~v127(constB155, 1))) <=> ((~v127(constB155, 1)) | v26(constB155) | v130(constB155, 1))),
% 54.79/34.99 inference(rewrite,[status(thm)],[])).
% 54.79/34.99 tff(29644,plain,
% 54.79/34.99 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB155) | v130(constB155, 1) | (~v127(constB155, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB155, 1)) | v26(constB155) | v130(constB155, 1)))),
% 54.79/34.99 inference(monotonicity,[status(thm)],[29643])).
% 54.79/34.99 tff(29645,plain,
% 54.79/34.99 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB155) | v130(constB155, 1) | (~v127(constB155, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB155, 1)) | v26(constB155) | v130(constB155, 1))),
% 54.79/34.99 inference(transitivity,[status(thm)],[29644, 29642])).
% 54.79/34.99 tff(29646,plain,
% 54.79/34.99 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB155) | v130(constB155, 1) | (~v127(constB155, 1)))),
% 54.79/34.99 inference(quant_inst,[status(thm)],[])).
% 54.79/34.99 tff(29647,plain,
% 54.79/34.99 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB155, 1)) | v26(constB155) | v130(constB155, 1)),
% 54.79/34.99 inference(modus_ponens,[status(thm)],[29646, 29645])).
% 54.79/34.99 tff(29648,plain,
% 54.79/34.99 ((~v127(constB155, 1)) | v130(constB155, 1)),
% 54.79/34.99 inference(unit_resolution,[status(thm)],[29647, 1276, 29572])).
% 54.79/34.99 tff(29649,plain,
% 54.79/34.99 (~v127(constB155, 1)),
% 54.79/34.99 inference(unit_resolution,[status(thm)],[29648, 29641])).
% 54.79/34.99 tff(29650,plain,
% 54.79/34.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB155, constB156)) | v127(constB155, 1) | (~v129(constB156, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB155, constB156)) | v127(constB155, 1) | (~v129(constB156, 1)))),
% 54.79/34.99 inference(rewrite,[status(thm)],[])).
% 54.79/34.99 tff(29651,plain,
% 54.79/34.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB155, constB156)) | v127(constB155, 1) | (~v129(constB156, 1)))),
% 54.79/34.99 inference(quant_inst,[status(thm)],[])).
% 54.79/34.99 tff(29652,plain,
% 54.79/34.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB155, constB156)) | v127(constB155, 1) | (~v129(constB156, 1))),
% 54.79/34.99 inference(modus_ponens,[status(thm)],[29651, 29650])).
% 54.79/34.99 tff(29653,plain,
% 54.79/34.99 (v127(constB155, 1) | (~v129(constB156, 1))),
% 54.79/34.99 inference(unit_resolution,[status(thm)],[29652, 1294, 29583])).
% 54.79/34.99 tff(29654,plain,
% 54.79/34.99 (~v129(constB156, 1)),
% 54.79/34.99 inference(unit_resolution,[status(thm)],[29653, 29649])).
% 54.79/34.99 tff(29655,plain,
% 54.79/34.99 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB156, 1)) | v129(constB156, 1) | (~v100(constB156)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB156, 1)) | v129(constB156, 1) | (~v100(constB156)))),
% 54.79/34.99 inference(rewrite,[status(thm)],[])).
% 54.79/34.99 tff(29656,plain,
% 54.79/34.99 (((~v90(constB156, 1)) | (~v100(constB156)) | v129(constB156, 1)) <=> ((~v90(constB156, 1)) | v129(constB156, 1) | (~v100(constB156)))),
% 54.79/34.99 inference(rewrite,[status(thm)],[])).
% 54.79/34.99 tff(29657,plain,
% 54.79/34.99 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB156, 1)) | (~v100(constB156)) | v129(constB156, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB156, 1)) | v129(constB156, 1) | (~v100(constB156))))),
% 54.79/34.99 inference(monotonicity,[status(thm)],[29656])).
% 54.79/34.99 tff(29658,plain,
% 54.79/34.99 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB156, 1)) | (~v100(constB156)) | v129(constB156, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB156, 1)) | v129(constB156, 1) | (~v100(constB156)))),
% 54.79/34.99 inference(transitivity,[status(thm)],[29657, 29655])).
% 54.79/34.99 tff(29659,plain,
% 54.79/34.99 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB156, 1)) | (~v100(constB156)) | v129(constB156, 1))),
% 54.79/34.99 inference(quant_inst,[status(thm)],[])).
% 54.79/34.99 tff(29660,plain,
% 54.79/34.99 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB156, 1)) | v129(constB156, 1) | (~v100(constB156))),
% 54.79/34.99 inference(modus_ponens,[status(thm)],[29659, 29658])).
% 54.79/34.99 tff(29661,plain,
% 54.79/34.99 ((~v90(constB156, 1)) | v129(constB156, 1)),
% 54.79/34.99 inference(unit_resolution,[status(thm)],[29660, 1309, 29620])).
% 54.79/34.99 tff(29662,plain,
% 54.79/34.99 (~v90(constB156, 1)),
% 54.79/34.99 inference(unit_resolution,[status(thm)],[29661, 29654])).
% 54.79/34.99 tff(29663,plain,
% 54.79/34.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB156, 1) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB156, 1) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, 1)))),
% 54.79/34.99 inference(rewrite,[status(thm)],[])).
% 54.79/34.99 tff(29664,plain,
% 54.79/34.99 (((~nextState(constB156, constB157)) | v90(constB156, 1) | v100(constB157) | (~v90(constB157, 1))) <=> (v90(constB156, 1) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, 1)))),
% 54.79/34.99 inference(rewrite,[status(thm)],[])).
% 54.79/34.99 tff(29665,plain,
% 54.79/34.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB156, constB157)) | v90(constB156, 1) | v100(constB157) | (~v90(constB157, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB156, 1) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, 1))))),
% 54.79/34.99 inference(monotonicity,[status(thm)],[29664])).
% 54.79/34.99 tff(29666,plain,
% 54.79/34.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB156, constB157)) | v90(constB156, 1) | v100(constB157) | (~v90(constB157, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB156, 1) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, 1)))),
% 54.79/34.99 inference(transitivity,[status(thm)],[29665, 29663])).
% 54.79/34.99 tff(29667,plain,
% 54.79/34.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB156, constB157)) | v90(constB156, 1) | v100(constB157) | (~v90(constB157, 1)))),
% 54.79/34.99 inference(quant_inst,[status(thm)],[])).
% 54.79/34.99 tff(29668,plain,
% 54.79/34.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB156, 1) | (~nextState(constB156, constB157)) | v100(constB157) | (~v90(constB157, 1))),
% 54.79/34.99 inference(modus_ponens,[status(thm)],[29667, 29666])).
% 54.79/34.99 tff(29669,plain,
% 54.79/34.99 (v90(constB156, 1) | v100(constB157) | (~v90(constB157, 1))),
% 54.79/34.99 inference(unit_resolution,[status(thm)],[29668, 926, 29591])).
% 54.79/34.99 tff(29670,plain,
% 54.79/34.99 (v90(constB156, 1) | (~v90(constB157, 1))),
% 54.79/34.99 inference(unit_resolution,[status(thm)],[29669, 29603])).
% 54.79/34.99 tff(29671,plain,
% 54.79/34.99 (~v90(constB157, 1)),
% 54.79/34.99 inference(unit_resolution,[status(thm)],[29670, 29662])).
% 54.79/34.99 tff(29672,plain,
% 54.79/34.99 (v90(constB157, 0) | v90(constB157, 1) | v123(constB157)),
% 54.79/34.99 inference(unit_resolution,[status(thm)],[29260, 2308, 29437])).
% 54.79/34.99 tff(29673,plain,
% 54.79/34.99 (v123(constB157)),
% 54.79/34.99 inference(unit_resolution,[status(thm)],[29672, 29671, 29637])).
% 54.79/34.99 tff(29674,plain,
% 54.79/34.99 (v100(constB158)),
% 54.79/34.99 inference(unit_resolution,[status(thm)],[29427, 29637, 29420])).
% 54.79/34.99 tff(29675,assumption,(v90(constB158, 1)), introduced(assumption)).
% 54.79/34.99 tff(29676,plain,
% 54.79/34.99 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB158, 1)) | v129(constB158, 1) | (~v100(constB158)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB158, 1)) | v129(constB158, 1) | (~v100(constB158)))),
% 54.79/34.99 inference(rewrite,[status(thm)],[])).
% 54.79/34.99 tff(29677,plain,
% 54.79/34.99 (((~v90(constB158, 1)) | (~v100(constB158)) | v129(constB158, 1)) <=> ((~v90(constB158, 1)) | v129(constB158, 1) | (~v100(constB158)))),
% 54.79/34.99 inference(rewrite,[status(thm)],[])).
% 54.79/34.99 tff(29678,plain,
% 54.79/34.99 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB158, 1)) | (~v100(constB158)) | v129(constB158, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB158, 1)) | v129(constB158, 1) | (~v100(constB158))))),
% 54.79/34.99 inference(monotonicity,[status(thm)],[29677])).
% 54.79/34.99 tff(29679,plain,
% 54.79/34.99 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB158, 1)) | (~v100(constB158)) | v129(constB158, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB158, 1)) | v129(constB158, 1) | (~v100(constB158)))),
% 54.79/34.99 inference(transitivity,[status(thm)],[29678, 29676])).
% 54.79/34.99 tff(29680,plain,
% 54.79/34.99 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB158, 1)) | (~v100(constB158)) | v129(constB158, 1))),
% 54.79/34.99 inference(quant_inst,[status(thm)],[])).
% 54.79/34.99 tff(29681,plain,
% 54.79/34.99 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB158, 1)) | v129(constB158, 1) | (~v100(constB158))),
% 54.79/34.99 inference(modus_ponens,[status(thm)],[29680, 29679])).
% 54.79/34.99 tff(29682,plain,
% 54.79/34.99 (v129(constB158, 1) | (~v100(constB158))),
% 54.79/34.99 inference(unit_resolution,[status(thm)],[29681, 1309, 29675])).
% 54.79/34.99 tff(29683,plain,
% 54.79/34.99 (v129(constB158, 1)),
% 54.79/34.99 inference(unit_resolution,[status(thm)],[29682, 29674])).
% 54.79/34.99 tff(29684,plain,
% 54.79/34.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB157, constB158)) | v127(constB157, 1) | (~v129(constB158, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB157, constB158)) | v127(constB157, 1) | (~v129(constB158, 1)))),
% 54.79/34.99 inference(rewrite,[status(thm)],[])).
% 54.79/34.99 tff(29685,plain,
% 54.79/34.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB157, constB158)) | v127(constB157, 1) | (~v129(constB158, 1)))),
% 54.79/34.99 inference(quant_inst,[status(thm)],[])).
% 54.79/34.99 tff(29686,plain,
% 54.79/34.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB157, constB158)) | v127(constB157, 1) | (~v129(constB158, 1))),
% 54.79/34.99 inference(modus_ponens,[status(thm)],[29685, 29684])).
% 54.79/34.99 tff(29687,plain,
% 54.79/34.99 (v127(constB157, 1) | (~v129(constB158, 1))),
% 54.79/34.99 inference(unit_resolution,[status(thm)],[29686, 1294, 29109])).
% 54.79/34.99 tff(29688,plain,
% 54.79/34.99 (v127(constB157, 1)),
% 54.79/34.99 inference(unit_resolution,[status(thm)],[29687, 29683])).
% 54.79/34.99 tff(29689,plain,
% 54.79/34.99 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB157, 1)) | v26(constB157) | v130(constB157, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB157, 1)) | v26(constB157) | v130(constB157, 1))),
% 54.79/34.99 inference(rewrite,[status(thm)],[])).
% 54.79/34.99 tff(29690,plain,
% 54.79/34.99 ((v26(constB157) | v130(constB157, 1) | (~v127(constB157, 1))) <=> ((~v127(constB157, 1)) | v26(constB157) | v130(constB157, 1))),
% 54.79/34.99 inference(rewrite,[status(thm)],[])).
% 54.79/34.99 tff(29691,plain,
% 54.79/34.99 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB157) | v130(constB157, 1) | (~v127(constB157, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB157, 1)) | v26(constB157) | v130(constB157, 1)))),
% 54.79/34.99 inference(monotonicity,[status(thm)],[29690])).
% 54.79/34.99 tff(29692,plain,
% 54.79/34.99 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB157) | v130(constB157, 1) | (~v127(constB157, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB157, 1)) | v26(constB157) | v130(constB157, 1))),
% 54.79/34.99 inference(transitivity,[status(thm)],[29691, 29689])).
% 54.79/34.99 tff(29693,plain,
% 54.79/34.99 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB157) | v130(constB157, 1) | (~v127(constB157, 1)))),
% 54.79/34.99 inference(quant_inst,[status(thm)],[])).
% 54.79/34.99 tff(29694,plain,
% 54.79/34.99 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB157, 1)) | v26(constB157) | v130(constB157, 1)),
% 54.79/34.99 inference(modus_ponens,[status(thm)],[29693, 29692])).
% 54.79/34.99 tff(29695,plain,
% 54.79/34.99 ((~v127(constB157, 1)) | v130(constB157, 1)),
% 54.79/34.99 inference(unit_resolution,[status(thm)],[29694, 1276, 29309])).
% 54.79/34.99 tff(29696,plain,
% 54.79/34.99 (v130(constB157, 1)),
% 54.79/34.99 inference(unit_resolution,[status(thm)],[29695, 29688])).
% 54.79/34.99 tff(29697,plain,
% 54.79/34.99 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB157)) | (~v130(constB157, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB157)) | (~v130(constB157, 1)))),
% 54.79/34.99 inference(rewrite,[status(thm)],[])).
% 54.79/34.99 tff(29698,plain,
% 54.79/34.99 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB157)) | (~v130(constB157, 1)))),
% 54.79/34.99 inference(quant_inst,[status(thm)],[])).
% 54.79/34.99 tff(29699,plain,
% 54.79/34.99 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB157)) | (~v130(constB157, 1))),
% 54.79/34.99 inference(modus_ponens,[status(thm)],[29698, 29697])).
% 54.79/34.99 tff(29700,plain,
% 54.79/34.99 ($false),
% 54.79/34.99 inference(unit_resolution,[status(thm)],[29699, 2581, 29696, 29673])).
% 54.79/34.99 tff(29701,plain,((~v121(constB153)) | (~v90(constB158, 1)) | (~v90(constB157, 2)) | (~v90(constB158, 0))), inference(lemma,lemma(discharge,[]))).
% 54.79/34.99 tff(29702,plain,
% 54.79/34.99 (~v121(constB153)),
% 54.79/34.99 inference(unit_resolution,[status(thm)],[29701, 29479, 29264, 29459])).
% 54.79/34.99 tff(29703,plain,
% 54.79/34.99 (v90(constB156, 2)),
% 54.79/34.99 inference(unit_resolution,[status(thm)],[29611, 29479])).
% 54.79/34.99 tff(29704,assumption,(~v100(constB156)), introduced(assumption)).
% 54.79/34.99 tff(29705,plain,
% 54.79/34.99 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB155) | (~nextState(constB155, constB156)) | (~v104(constB156)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB155) | (~nextState(constB155, constB156)) | (~v104(constB156)))),
% 54.79/34.99 inference(rewrite,[status(thm)],[])).
% 54.79/34.99 tff(29706,plain,
% 54.79/34.99 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB155) | (~nextState(constB155, constB156)) | (~v104(constB156)))),
% 54.79/34.99 inference(quant_inst,[status(thm)],[])).
% 54.79/34.99 tff(29707,plain,
% 54.79/34.99 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB155) | (~nextState(constB155, constB156)) | (~v104(constB156))),
% 54.79/34.99 inference(modus_ponens,[status(thm)],[29706, 29705])).
% 54.79/34.99 tff(29708,plain,
% 54.79/34.99 (~v104(constB156)),
% 54.79/34.99 inference(unit_resolution,[status(thm)],[29707, 1113, 29583, 29074])).
% 54.79/34.99 tff(29709,plain,
% 54.79/34.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB155, constB156)) | v102(constB156) | v104(constB156))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB155, constB156)) | v102(constB156) | v104(constB156))),
% 54.79/34.99 inference(rewrite,[status(thm)],[])).
% 54.79/34.99 tff(29710,plain,
% 54.79/34.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB155, constB156)) | v102(constB156) | v104(constB156))),
% 54.79/34.99 inference(quant_inst,[status(thm)],[])).
% 54.79/34.99 tff(29711,plain,
% 54.79/34.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB155, constB156)) | v102(constB156) | v104(constB156)),
% 54.79/34.99 inference(modus_ponens,[status(thm)],[29710, 29709])).
% 54.79/34.99 tff(29712,plain,
% 54.79/34.99 (v102(constB156) | v104(constB156)),
% 54.79/34.99 inference(unit_resolution,[status(thm)],[29711, 1127, 29583])).
% 54.79/34.99 tff(29713,plain,
% 54.79/34.99 (v102(constB156)),
% 54.79/34.99 inference(unit_resolution,[status(thm)],[29712, 29708])).
% 54.79/34.99 tff(29714,plain,
% 54.79/34.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB155, constB156)) | v101(constB156) | (~v102(constB156)) | (~v1(constB156)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB155, constB156)) | v101(constB156) | (~v102(constB156)) | (~v1(constB156)))),
% 54.79/34.99 inference(rewrite,[status(thm)],[])).
% 54.79/34.99 tff(29715,plain,
% 54.79/34.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB155, constB156)) | v101(constB156) | (~v102(constB156)) | (~v1(constB156)))),
% 54.79/34.99 inference(quant_inst,[status(thm)],[])).
% 54.79/34.99 tff(29716,plain,
% 54.79/34.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB155, constB156)) | v101(constB156) | (~v102(constB156)) | (~v1(constB156))),
% 54.79/34.99 inference(modus_ponens,[status(thm)],[29715, 29714])).
% 54.79/34.99 tff(29717,plain,
% 54.79/34.99 (v101(constB156) | (~v102(constB156))),
% 54.79/34.99 inference(unit_resolution,[status(thm)],[29716, 1145, 29583, 783])).
% 54.79/34.99 tff(29718,plain,
% 54.79/34.99 (v101(constB156)),
% 54.79/34.99 inference(unit_resolution,[status(thm)],[29717, 29713])).
% 54.79/34.99 tff(29719,plain,
% 54.79/34.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156)))),
% 54.79/34.99 inference(rewrite,[status(thm)],[])).
% 54.79/34.99 tff(29720,plain,
% 54.79/34.99 (((~nextState(constB155, constB156)) | (~v101(constB156)) | (~v110(constB156)) | v100(constB156)) <=> ((~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156)))),
% 54.79/34.99 inference(rewrite,[status(thm)],[])).
% 54.79/34.99 tff(29721,plain,
% 54.79/34.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB155, constB156)) | (~v101(constB156)) | (~v110(constB156)) | v100(constB156))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156))))),
% 54.79/34.99 inference(monotonicity,[status(thm)],[29720])).
% 54.79/34.99 tff(29722,plain,
% 54.79/34.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB155, constB156)) | (~v101(constB156)) | (~v110(constB156)) | v100(constB156))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156)))),
% 54.79/34.99 inference(transitivity,[status(thm)],[29721, 29719])).
% 54.79/34.99 tff(29723,plain,
% 54.79/34.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB155, constB156)) | (~v101(constB156)) | (~v110(constB156)) | v100(constB156))),
% 54.79/34.99 inference(quant_inst,[status(thm)],[])).
% 54.79/34.99 tff(29724,plain,
% 54.79/34.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB155, constB156)) | v100(constB156) | (~v101(constB156)) | (~v110(constB156))),
% 54.79/34.99 inference(modus_ponens,[status(thm)],[29723, 29722])).
% 54.79/34.99 tff(29725,plain,
% 54.79/34.99 (v100(constB156) | (~v101(constB156)) | (~v110(constB156))),
% 54.79/34.99 inference(unit_resolution,[status(thm)],[29724, 1160, 29583])).
% 54.79/34.99 tff(29726,plain,
% 54.79/34.99 (v100(constB156) | (~v110(constB156))),
% 54.79/34.99 inference(unit_resolution,[status(thm)],[29725, 29718])).
% 54.79/34.99 tff(29727,plain,
% 54.79/34.99 (~v110(constB156)),
% 54.79/34.99 inference(unit_resolution,[status(thm)],[29726, 29704])).
% 54.79/34.99 tff(29728,plain,
% 54.79/34.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155)))),
% 54.79/34.99 inference(rewrite,[status(thm)],[])).
% 54.79/34.99 tff(29729,plain,
% 54.79/34.99 (((~nextState(constB155, constB156)) | (~v108(constB155)) | v110(constB156)) <=> ((~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155)))),
% 54.79/34.99 inference(rewrite,[status(thm)],[])).
% 54.79/34.99 tff(29730,plain,
% 54.79/34.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB155, constB156)) | (~v108(constB155)) | v110(constB156))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155))))),
% 54.79/34.99 inference(monotonicity,[status(thm)],[29729])).
% 54.79/34.99 tff(29731,plain,
% 54.79/34.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB155, constB156)) | (~v108(constB155)) | v110(constB156))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155)))),
% 54.79/34.99 inference(transitivity,[status(thm)],[29730, 29728])).
% 54.79/34.99 tff(29732,plain,
% 54.79/34.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB155, constB156)) | (~v108(constB155)) | v110(constB156))),
% 54.79/34.99 inference(quant_inst,[status(thm)],[])).
% 54.79/34.99 tff(29733,plain,
% 54.79/34.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB155, constB156)) | v110(constB156) | (~v108(constB155))),
% 54.79/34.99 inference(modus_ponens,[status(thm)],[29732, 29731])).
% 54.79/34.99 tff(29734,plain,
% 54.79/34.99 (v110(constB156) | (~v108(constB155))),
% 54.79/34.99 inference(unit_resolution,[status(thm)],[29733, 1095, 29583])).
% 54.79/34.99 tff(29735,plain,
% 54.79/34.99 (~v108(constB155)),
% 54.79/34.99 inference(unit_resolution,[status(thm)],[29734, 29727])).
% 54.79/34.99 tff(29736,plain,
% 54.79/34.99 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB155) | (~v112(constB155)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB155) | (~v112(constB155)))),
% 54.79/34.99 inference(rewrite,[status(thm)],[])).
% 54.79/34.99 tff(29737,plain,
% 54.79/34.99 (((~v112(constB155)) | v108(constB155)) <=> (v108(constB155) | (~v112(constB155)))),
% 54.79/34.99 inference(rewrite,[status(thm)],[])).
% 54.79/34.99 tff(29738,plain,
% 54.79/34.99 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB155)) | v108(constB155))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB155) | (~v112(constB155))))),
% 54.79/34.99 inference(monotonicity,[status(thm)],[29737])).
% 54.79/34.99 tff(29739,plain,
% 54.79/34.99 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB155)) | v108(constB155))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB155) | (~v112(constB155)))),
% 54.79/34.99 inference(transitivity,[status(thm)],[29738, 29736])).
% 54.79/34.99 tff(29740,plain,
% 54.79/34.99 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB155)) | v108(constB155))),
% 54.79/34.99 inference(quant_inst,[status(thm)],[])).
% 54.79/34.99 tff(29741,plain,
% 54.79/34.99 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB155) | (~v112(constB155))),
% 54.79/34.99 inference(modus_ponens,[status(thm)],[29740, 29739])).
% 54.79/34.99 tff(29742,plain,
% 54.79/34.99 (~v112(constB155)),
% 54.79/34.99 inference(unit_resolution,[status(thm)],[29741, 1075, 29735])).
% 54.79/34.99 tff(29743,plain,
% 54.79/34.99 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB155) | (~v113(constB155)) | v112(constB155))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB155) | (~v113(constB155)) | v112(constB155))),
% 54.79/34.99 inference(rewrite,[status(thm)],[])).
% 54.79/34.99 tff(29744,plain,
% 54.79/34.99 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB155) | (~v113(constB155)) | v112(constB155))),
% 54.79/34.99 inference(quant_inst,[status(thm)],[])).
% 54.79/34.99 tff(29745,plain,
% 54.79/34.99 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB155) | (~v113(constB155)) | v112(constB155)),
% 54.79/34.99 inference(modus_ponens,[status(thm)],[29744, 29743])).
% 54.79/34.99 tff(29746,plain,
% 54.79/34.99 ((~v113(constB155)) | v112(constB155)),
% 54.79/34.99 inference(unit_resolution,[status(thm)],[29745, 1063, 29572])).
% 54.79/34.99 tff(29747,plain,
% 54.79/34.99 (~v113(constB155)),
% 54.79/34.99 inference(unit_resolution,[status(thm)],[29746, 29742])).
% 54.79/34.99 tff(29748,plain,
% 54.79/34.99 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB155)) | v113(constB155))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB155)) | v113(constB155))),
% 54.79/34.99 inference(rewrite,[status(thm)],[])).
% 54.79/34.99 tff(29749,plain,
% 54.79/34.99 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB155)) | v113(constB155))),
% 54.79/34.99 inference(quant_inst,[status(thm)],[])).
% 54.79/34.99 tff(29750,plain,
% 54.79/34.99 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB155)) | v113(constB155)),
% 54.79/34.99 inference(modus_ponens,[status(thm)],[29749, 29748])).
% 54.79/34.99 tff(29751,plain,
% 54.79/34.99 (~v125(constB155)),
% 54.79/34.99 inference(unit_resolution,[status(thm)],[29750, 2262, 29747])).
% 54.79/34.99 tff(29752,assumption,(v90(constB156, 2)), introduced(assumption)).
% 54.79/34.99 tff(29753,plain,
% 54.79/34.99 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB155) | (~v114(constB155)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB155) | (~v114(constB155)))),
% 54.79/34.99 inference(rewrite,[status(thm)],[])).
% 54.79/34.99 tff(29754,plain,
% 54.79/34.99 (((~v114(constB155)) | v113(constB155)) <=> (v113(constB155) | (~v114(constB155)))),
% 54.79/34.99 inference(rewrite,[status(thm)],[])).
% 54.79/34.99 tff(29755,plain,
% 54.79/34.99 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB155)) | v113(constB155))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB155) | (~v114(constB155))))),
% 54.79/34.99 inference(monotonicity,[status(thm)],[29754])).
% 54.79/34.99 tff(29756,plain,
% 54.79/34.99 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB155)) | v113(constB155))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB155) | (~v114(constB155)))),
% 54.79/34.99 inference(transitivity,[status(thm)],[29755, 29753])).
% 54.79/34.99 tff(29757,plain,
% 54.79/34.99 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB155)) | v113(constB155))),
% 54.79/34.99 inference(quant_inst,[status(thm)],[])).
% 54.79/34.99 tff(29758,plain,
% 54.79/34.99 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB155) | (~v114(constB155))),
% 54.79/34.99 inference(modus_ponens,[status(thm)],[29757, 29756])).
% 54.79/34.99 tff(29759,plain,
% 54.79/34.99 (~v114(constB155)),
% 54.79/34.99 inference(unit_resolution,[status(thm)],[29758, 1049, 29747])).
% 54.79/34.99 tff(29760,plain,
% 54.79/34.99 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB155) | (~v124(constB155)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB155) | (~v124(constB155)))),
% 54.79/34.99 inference(rewrite,[status(thm)],[])).
% 54.79/34.99 tff(29761,plain,
% 54.79/34.99 (((~v124(constB155)) | v114(constB155)) <=> (v114(constB155) | (~v124(constB155)))),
% 54.79/34.99 inference(rewrite,[status(thm)],[])).
% 54.79/34.99 tff(29762,plain,
% 54.79/34.99 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB155)) | v114(constB155))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB155) | (~v124(constB155))))),
% 54.79/34.99 inference(monotonicity,[status(thm)],[29761])).
% 54.79/34.99 tff(29763,plain,
% 54.79/34.99 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB155)) | v114(constB155))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB155) | (~v124(constB155)))),
% 54.79/34.99 inference(transitivity,[status(thm)],[29762, 29760])).
% 54.79/34.99 tff(29764,plain,
% 54.79/34.99 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB155)) | v114(constB155))),
% 54.79/34.99 inference(quant_inst,[status(thm)],[])).
% 54.79/34.99 tff(29765,plain,
% 54.79/34.99 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB155) | (~v124(constB155))),
% 54.79/34.99 inference(modus_ponens,[status(thm)],[29764, 29763])).
% 54.79/34.99 tff(29766,plain,
% 54.79/34.99 (~v124(constB155)),
% 54.79/34.99 inference(unit_resolution,[status(thm)],[29765, 2674, 29759])).
% 54.79/34.99 tff(29767,assumption,(~v90(constB156, 1)), introduced(assumption)).
% 54.79/34.99 tff(29768,plain,
% 54.79/34.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB155, 1)) | (~nextState(constB155, constB156)) | v100(constB156) | v90(constB156, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB155, 1)) | (~nextState(constB155, constB156)) | v100(constB156) | v90(constB156, 1))),
% 54.79/34.99 inference(rewrite,[status(thm)],[])).
% 54.79/34.99 tff(29769,plain,
% 54.79/34.99 (((~nextState(constB155, constB156)) | (~v90(constB155, 1)) | v100(constB156) | v90(constB156, 1)) <=> ((~v90(constB155, 1)) | (~nextState(constB155, constB156)) | v100(constB156) | v90(constB156, 1))),
% 54.79/34.99 inference(rewrite,[status(thm)],[])).
% 54.79/34.99 tff(29770,plain,
% 54.79/34.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB155, constB156)) | (~v90(constB155, 1)) | v100(constB156) | v90(constB156, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB155, 1)) | (~nextState(constB155, constB156)) | v100(constB156) | v90(constB156, 1)))),
% 54.79/34.99 inference(monotonicity,[status(thm)],[29769])).
% 54.79/35.00 tff(29771,plain,
% 54.79/35.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB155, constB156)) | (~v90(constB155, 1)) | v100(constB156) | v90(constB156, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB155, 1)) | (~nextState(constB155, constB156)) | v100(constB156) | v90(constB156, 1))),
% 54.79/35.00 inference(transitivity,[status(thm)],[29770, 29768])).
% 54.79/35.00 tff(29772,plain,
% 54.79/35.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB155, constB156)) | (~v90(constB155, 1)) | v100(constB156) | v90(constB156, 1))),
% 54.79/35.00 inference(quant_inst,[status(thm)],[])).
% 54.79/35.00 tff(29773,plain,
% 54.79/35.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB155, 1)) | (~nextState(constB155, constB156)) | v100(constB156) | v90(constB156, 1)),
% 54.79/35.00 inference(modus_ponens,[status(thm)],[29772, 29771])).
% 54.79/35.00 tff(29774,plain,
% 54.79/35.00 ((~v90(constB155, 1)) | v100(constB156) | v90(constB156, 1)),
% 54.79/35.00 inference(unit_resolution,[status(thm)],[29773, 1641, 29583])).
% 54.79/35.00 tff(29775,plain,
% 54.79/35.00 (~v90(constB155, 1)),
% 54.79/35.00 inference(unit_resolution,[status(thm)],[29774, 29767, 29704])).
% 54.79/35.00 tff(29776,plain,
% 54.79/35.00 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB155) | (~v115(constB155)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB155) | (~v115(constB155)))),
% 54.79/35.00 inference(rewrite,[status(thm)],[])).
% 54.79/35.00 tff(29777,plain,
% 54.79/35.00 (((~v115(constB155)) | v114(constB155)) <=> (v114(constB155) | (~v115(constB155)))),
% 54.79/35.00 inference(rewrite,[status(thm)],[])).
% 54.79/35.00 tff(29778,plain,
% 54.79/35.00 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB155)) | v114(constB155))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB155) | (~v115(constB155))))),
% 54.79/35.00 inference(monotonicity,[status(thm)],[29777])).
% 54.79/35.00 tff(29779,plain,
% 54.79/35.00 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB155)) | v114(constB155))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB155) | (~v115(constB155)))),
% 54.79/35.00 inference(transitivity,[status(thm)],[29778, 29776])).
% 54.79/35.00 tff(29780,plain,
% 54.79/35.00 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB155)) | v114(constB155))),
% 54.79/35.00 inference(quant_inst,[status(thm)],[])).
% 54.79/35.00 tff(29781,plain,
% 54.79/35.00 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB155) | (~v115(constB155))),
% 54.79/35.00 inference(modus_ponens,[status(thm)],[29780, 29779])).
% 54.79/35.00 tff(29782,plain,
% 54.79/35.00 (~v115(constB155)),
% 54.79/35.00 inference(unit_resolution,[status(thm)],[29781, 1035, 29759])).
% 54.79/35.00 tff(29783,plain,
% 54.79/35.00 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB155) | (~v123(constB155)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB155) | (~v123(constB155)))),
% 54.79/35.00 inference(rewrite,[status(thm)],[])).
% 54.79/35.00 tff(29784,plain,
% 54.79/35.00 (((~v123(constB155)) | v115(constB155)) <=> (v115(constB155) | (~v123(constB155)))),
% 54.79/35.00 inference(rewrite,[status(thm)],[])).
% 54.79/35.00 tff(29785,plain,
% 54.79/35.00 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB155)) | v115(constB155))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (v115(constB155) | (~v123(constB155))))),
% 54.79/35.00 inference(monotonicity,[status(thm)],[29784])).
% 54.79/35.00 tff(29786,plain,
% 54.79/35.00 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB155)) | v115(constB155))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB155) | (~v123(constB155)))),
% 54.79/35.00 inference(transitivity,[status(thm)],[29785, 29783])).
% 54.79/35.00 tff(29787,plain,
% 54.79/35.00 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB155)) | v115(constB155))),
% 54.79/35.00 inference(quant_inst,[status(thm)],[])).
% 54.79/35.00 tff(29788,plain,
% 54.79/35.00 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | v115(constB155) | (~v123(constB155))),
% 54.79/35.00 inference(modus_ponens,[status(thm)],[29787, 29786])).
% 54.79/35.00 tff(29789,plain,
% 54.79/35.00 (~v123(constB155)),
% 54.79/35.00 inference(unit_resolution,[status(thm)],[29788, 2291, 29782])).
% 54.79/35.00 tff(29790,plain,
% 54.79/35.00 (v90(constB155, 2)),
% 54.79/35.00 inference(unit_resolution,[status(thm)],[29619, 29704, 29752])).
% 54.79/35.00 tff(29791,plain,
% 54.79/35.00 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v119(constB155)) | (~v90(constB155, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | (~v119(constB155)) | (~v90(constB155, 2)))),
% 54.79/35.00 inference(rewrite,[status(thm)],[])).
% 54.79/35.00 tff(29792,plain,
% 54.79/35.00 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v119(constB155)) | (~v90(constB155, 2)))),
% 54.79/35.00 inference(quant_inst,[status(thm)],[])).
% 54.79/35.00 tff(29793,plain,
% 54.79/35.00 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | (~v119(constB155)) | (~v90(constB155, 2))),
% 54.79/35.00 inference(modus_ponens,[status(thm)],[29792, 29791])).
% 54.79/35.00 tff(29794,plain,
% 54.79/35.00 (~v119(constB155)),
% 54.79/35.00 inference(unit_resolution,[status(thm)],[29793, 3814, 29790])).
% 54.79/35.00 tff(29795,plain,
% 54.79/35.00 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v120(constB155)) | (~v90(constB155, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | (~v120(constB155)) | (~v90(constB155, 2)))),
% 54.79/35.00 inference(rewrite,[status(thm)],[])).
% 54.79/35.00 tff(29796,plain,
% 54.79/35.00 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v120(constB155)) | (~v90(constB155, 2)))),
% 54.79/35.00 inference(quant_inst,[status(thm)],[])).
% 54.79/35.00 tff(29797,plain,
% 54.79/35.00 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | (~v120(constB155)) | (~v90(constB155, 2))),
% 54.79/35.00 inference(modus_ponens,[status(thm)],[29796, 29795])).
% 54.79/35.00 tff(29798,plain,
% 54.79/35.00 (~v120(constB155)),
% 54.79/35.00 inference(unit_resolution,[status(thm)],[29797, 3825, 29790])).
% 54.79/35.00 tff(29799,plain,
% 54.79/35.00 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB155)) | (~v90(constB155, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB155)) | (~v90(constB155, 2)))),
% 54.79/35.00 inference(rewrite,[status(thm)],[])).
% 54.79/35.00 tff(29800,plain,
% 54.79/35.00 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB155)) | (~v90(constB155, 2)))),
% 54.79/35.00 inference(quant_inst,[status(thm)],[])).
% 54.79/35.00 tff(29801,plain,
% 54.79/35.00 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB155)) | (~v90(constB155, 2))),
% 54.79/35.00 inference(modus_ponens,[status(thm)],[29800, 29799])).
% 54.79/35.00 tff(29802,plain,
% 54.79/35.00 (~v121(constB155)),
% 54.79/35.00 inference(unit_resolution,[status(thm)],[29801, 2857, 29790])).
% 54.79/35.00 tff(29803,plain,
% 54.79/35.00 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB155)) | (~v90(constB155, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB155)) | (~v90(constB155, 2)))),
% 54.79/35.00 inference(rewrite,[status(thm)],[])).
% 54.79/35.00 tff(29804,plain,
% 54.79/35.00 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB155)) | (~v90(constB155, 2)))),
% 54.79/35.00 inference(quant_inst,[status(thm)],[])).
% 54.79/35.00 tff(29805,plain,
% 54.79/35.00 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB155)) | (~v90(constB155, 2))),
% 54.79/35.00 inference(modus_ponens,[status(thm)],[29804, 29803])).
% 54.79/35.00 tff(29806,plain,
% 54.79/35.00 (~v122(constB155)),
% 54.79/35.00 inference(unit_resolution,[status(thm)],[29805, 2797, 29790])).
% 54.79/35.00 tff(29807,plain,
% 54.79/35.00 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~v130(constB155, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~v130(constB155, 2)))),
% 54.79/35.00 inference(rewrite,[status(thm)],[])).
% 54.79/35.00 tff(29808,plain,
% 54.79/35.00 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~v130(constB155, 2)))),
% 54.79/35.00 inference(quant_inst,[status(thm)],[])).
% 54.79/35.00 tff(29809,plain,
% 54.79/35.00 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~v130(constB155, 2))),
% 54.79/35.00 inference(modus_ponens,[status(thm)],[29808, 29807])).
% 54.79/35.00 tff(29810,plain,
% 54.79/35.00 (v123(constB155) | v124(constB155) | (~v130(constB155, 2))),
% 54.79/35.00 inference(unit_resolution,[status(thm)],[29809, 2904, 29806, 29802, 29798, 29794])).
% 54.79/35.00 tff(29811,plain,
% 54.79/35.00 (~v130(constB155, 2)),
% 54.79/35.00 inference(unit_resolution,[status(thm)],[29810, 29789, 29766])).
% 54.79/35.00 tff(29812,plain,
% 54.79/35.00 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB155, 2)) | v26(constB155) | v130(constB155, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB155, 2)) | v26(constB155) | v130(constB155, 2))),
% 54.79/35.00 inference(rewrite,[status(thm)],[])).
% 54.79/35.00 tff(29813,plain,
% 54.79/35.00 ((v26(constB155) | v130(constB155, 2) | (~v127(constB155, 2))) <=> ((~v127(constB155, 2)) | v26(constB155) | v130(constB155, 2))),
% 54.79/35.00 inference(rewrite,[status(thm)],[])).
% 54.79/35.00 tff(29814,plain,
% 54.79/35.00 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB155) | v130(constB155, 2) | (~v127(constB155, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB155, 2)) | v26(constB155) | v130(constB155, 2)))),
% 54.79/35.00 inference(monotonicity,[status(thm)],[29813])).
% 54.79/35.00 tff(29815,plain,
% 54.79/35.00 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB155) | v130(constB155, 2) | (~v127(constB155, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB155, 2)) | v26(constB155) | v130(constB155, 2))),
% 54.79/35.00 inference(transitivity,[status(thm)],[29814, 29812])).
% 54.79/35.00 tff(29816,plain,
% 54.79/35.00 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB155) | v130(constB155, 2) | (~v127(constB155, 2)))),
% 54.79/35.00 inference(quant_inst,[status(thm)],[])).
% 54.79/35.00 tff(29817,plain,
% 54.79/35.00 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB155, 2)) | v26(constB155) | v130(constB155, 2)),
% 54.79/35.00 inference(modus_ponens,[status(thm)],[29816, 29815])).
% 54.79/35.00 tff(29818,plain,
% 54.79/35.00 ((~v127(constB155, 2)) | v130(constB155, 2)),
% 54.79/35.00 inference(unit_resolution,[status(thm)],[29817, 1190, 29572])).
% 54.79/35.00 tff(29819,plain,
% 54.79/35.00 (~v127(constB155, 2)),
% 54.79/35.00 inference(unit_resolution,[status(thm)],[29818, 29811])).
% 54.79/35.00 tff(29820,assumption,(~v127(constB155, 2)), introduced(assumption)).
% 54.79/35.00 tff(29821,plain,
% 54.79/35.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB155, constB156)) | v127(constB155, 2) | (~v129(constB156, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB155, constB156)) | v127(constB155, 2) | (~v129(constB156, 2)))),
% 54.79/35.00 inference(rewrite,[status(thm)],[])).
% 54.79/35.00 tff(29822,plain,
% 54.79/35.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB155, constB156)) | v127(constB155, 2) | (~v129(constB156, 2)))),
% 54.79/35.00 inference(quant_inst,[status(thm)],[])).
% 54.79/35.00 tff(29823,plain,
% 54.79/35.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB155, constB156)) | v127(constB155, 2) | (~v129(constB156, 2))),
% 54.79/35.00 inference(modus_ponens,[status(thm)],[29822, 29821])).
% 54.79/35.00 tff(29824,plain,
% 54.79/35.00 (v127(constB155, 2) | (~v129(constB156, 2))),
% 54.79/35.00 inference(unit_resolution,[status(thm)],[29823, 1208, 29583])).
% 54.79/35.00 tff(29825,plain,
% 54.79/35.00 (~v129(constB156, 2)),
% 54.79/35.00 inference(unit_resolution,[status(thm)],[29824, 29820])).
% 54.79/35.00 tff(29826,plain,
% 54.79/35.00 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB156, 2)) | v129(constB156, 2) | (~v100(constB156)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB156, 2)) | v129(constB156, 2) | (~v100(constB156)))),
% 54.79/35.00 inference(rewrite,[status(thm)],[])).
% 54.79/35.00 tff(29827,plain,
% 54.79/35.00 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB156, 2)) | v129(constB156, 2) | (~v100(constB156)))),
% 54.79/35.00 inference(quant_inst,[status(thm)],[])).
% 54.79/35.00 tff(29828,plain,
% 54.79/35.00 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB156, 2)) | v129(constB156, 2) | (~v100(constB156))),
% 54.79/35.00 inference(modus_ponens,[status(thm)],[29827, 29826])).
% 54.79/35.00 tff(29829,plain,
% 54.79/35.00 (v129(constB156, 2) | (~v100(constB156))),
% 54.79/35.00 inference(unit_resolution,[status(thm)],[29828, 1223, 29752])).
% 54.79/35.00 tff(29830,plain,
% 54.79/35.00 (~v100(constB156)),
% 54.79/35.00 inference(unit_resolution,[status(thm)],[29829, 29825])).
% 54.79/35.00 tff(29831,plain,
% 54.79/35.00 (v90(constB155, 2)),
% 54.79/35.00 inference(unit_resolution,[status(thm)],[29619, 29830, 29752])).
% 54.79/35.00 tff(29832,plain,
% 54.79/35.00 (~v90(constB155, 1)),
% 54.79/35.00 inference(unit_resolution,[status(thm)],[29774, 29830, 29767])).
% 54.79/35.00 tff(29833,assumption,(~v90(constB156, 0)), introduced(assumption)).
% 54.79/35.00 tff(29834,plain,
% 54.79/35.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB155, 0)) | (~nextState(constB155, constB156)) | v100(constB156) | v90(constB156, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB155, 0)) | (~nextState(constB155, constB156)) | v100(constB156) | v90(constB156, 0))),
% 54.79/35.00 inference(rewrite,[status(thm)],[])).
% 54.79/35.00 tff(29835,plain,
% 54.79/35.00 (((~nextState(constB155, constB156)) | (~v90(constB155, 0)) | v100(constB156) | v90(constB156, 0)) <=> ((~v90(constB155, 0)) | (~nextState(constB155, constB156)) | v100(constB156) | v90(constB156, 0))),
% 54.79/35.00 inference(rewrite,[status(thm)],[])).
% 54.79/35.00 tff(29836,plain,
% 54.79/35.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB155, constB156)) | (~v90(constB155, 0)) | v100(constB156) | v90(constB156, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB155, 0)) | (~nextState(constB155, constB156)) | v100(constB156) | v90(constB156, 0)))),
% 54.79/35.00 inference(monotonicity,[status(thm)],[29835])).
% 54.79/35.00 tff(29837,plain,
% 54.79/35.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB155, constB156)) | (~v90(constB155, 0)) | v100(constB156) | v90(constB156, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB155, 0)) | (~nextState(constB155, constB156)) | v100(constB156) | v90(constB156, 0))),
% 54.79/35.00 inference(transitivity,[status(thm)],[29836, 29834])).
% 54.79/35.00 tff(29838,plain,
% 54.79/35.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB155, constB156)) | (~v90(constB155, 0)) | v100(constB156) | v90(constB156, 0))),
% 54.79/35.00 inference(quant_inst,[status(thm)],[])).
% 54.79/35.00 tff(29839,plain,
% 54.79/35.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB155, 0)) | (~nextState(constB155, constB156)) | v100(constB156) | v90(constB156, 0)),
% 54.79/35.00 inference(modus_ponens,[status(thm)],[29838, 29837])).
% 54.79/35.00 tff(29840,plain,
% 54.79/35.00 ((~v90(constB155, 0)) | v100(constB156) | v90(constB156, 0)),
% 54.79/35.00 inference(unit_resolution,[status(thm)],[29839, 1395, 29583])).
% 54.79/35.00 tff(29841,plain,
% 54.79/35.00 (~v90(constB155, 0)),
% 54.79/35.00 inference(unit_resolution,[status(thm)],[29840, 29830, 29833])).
% 54.79/35.00 tff(29842,plain,
% 54.79/35.00 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB155, 0) | v90(constB155, 1) | (~v90(constB155, 2)) | v123(constB155))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB155, 0) | v90(constB155, 1) | (~v90(constB155, 2)) | v123(constB155))),
% 54.79/35.00 inference(rewrite,[status(thm)],[])).
% 54.79/35.00 tff(29843,plain,
% 54.79/35.00 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB155, 0) | v90(constB155, 1) | (~v90(constB155, 2)) | v123(constB155))),
% 54.79/35.00 inference(quant_inst,[status(thm)],[])).
% 54.79/35.00 tff(29844,plain,
% 54.79/35.00 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB155, 0) | v90(constB155, 1) | (~v90(constB155, 2)) | v123(constB155)),
% 54.79/35.00 inference(modus_ponens,[status(thm)],[29843, 29842])).
% 54.79/35.00 tff(29845,plain,
% 54.79/35.00 (v123(constB155)),
% 54.79/35.00 inference(unit_resolution,[status(thm)],[29844, 2308, 29841, 29832, 29831])).
% 54.79/35.00 tff(29846,plain,
% 54.79/35.00 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB155) | (~v130(constB155, 2)) | v127(constB155, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB155) | (~v130(constB155, 2)) | v127(constB155, 2))),
% 54.79/35.00 inference(rewrite,[status(thm)],[])).
% 54.79/35.00 tff(29847,plain,
% 54.79/35.00 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB155) | (~v130(constB155, 2)) | v127(constB155, 2))),
% 54.79/35.00 inference(quant_inst,[status(thm)],[])).
% 54.79/35.00 tff(29848,plain,
% 54.79/35.00 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB155) | (~v130(constB155, 2)) | v127(constB155, 2)),
% 54.79/35.00 inference(modus_ponens,[status(thm)],[29847, 29846])).
% 54.79/35.00 tff(29849,plain,
% 54.79/35.00 ((~v130(constB155, 2)) | v127(constB155, 2)),
% 54.79/35.00 inference(unit_resolution,[status(thm)],[29848, 1981, 29572])).
% 54.79/35.00 tff(29850,plain,
% 54.79/35.00 (~v130(constB155, 2)),
% 54.79/35.00 inference(unit_resolution,[status(thm)],[29849, 29820])).
% 54.79/35.00 tff(29851,plain,
% 54.79/35.00 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB155)) | v130(constB155, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB155)) | v130(constB155, 2))),
% 54.79/35.00 inference(rewrite,[status(thm)],[])).
% 54.79/35.00 tff(29852,plain,
% 54.79/35.00 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB155)) | v130(constB155, 2))),
% 54.79/35.00 inference(quant_inst,[status(thm)],[])).
% 54.79/35.00 tff(29853,plain,
% 54.79/35.00 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB155)) | v130(constB155, 2)),
% 54.79/35.00 inference(modus_ponens,[status(thm)],[29852, 29851])).
% 54.79/35.00 tff(29854,plain,
% 54.79/35.00 ($false),
% 54.79/35.00 inference(unit_resolution,[status(thm)],[29853, 2525, 29850, 29845])).
% 54.79/35.00 tff(29855,plain,(v127(constB155, 2) | (~v90(constB156, 2)) | v90(constB156, 1) | v90(constB156, 0)), inference(lemma,lemma(discharge,[]))).
% 54.79/35.00 tff(29856,plain,
% 54.79/35.00 (v90(constB156, 0)),
% 54.79/35.00 inference(unit_resolution,[status(thm)],[29855, 29767, 29752, 29819])).
% 54.79/35.00 tff(29857,plain,
% 54.79/35.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB155, 0) | (~nextState(constB155, constB156)) | v100(constB156) | (~v90(constB156, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB155, 0) | (~nextState(constB155, constB156)) | v100(constB156) | (~v90(constB156, 0)))),
% 54.79/35.00 inference(rewrite,[status(thm)],[])).
% 54.79/35.00 tff(29858,plain,
% 54.79/35.00 (((~nextState(constB155, constB156)) | v90(constB155, 0) | v100(constB156) | (~v90(constB156, 0))) <=> (v90(constB155, 0) | (~nextState(constB155, constB156)) | v100(constB156) | (~v90(constB156, 0)))),
% 54.79/35.00 inference(rewrite,[status(thm)],[])).
% 54.79/35.00 tff(29859,plain,
% 54.79/35.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB155, constB156)) | v90(constB155, 0) | v100(constB156) | (~v90(constB156, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB155, 0) | (~nextState(constB155, constB156)) | v100(constB156) | (~v90(constB156, 0))))),
% 54.79/35.00 inference(monotonicity,[status(thm)],[29858])).
% 54.79/35.00 tff(29860,plain,
% 54.79/35.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB155, constB156)) | v90(constB155, 0) | v100(constB156) | (~v90(constB156, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB155, 0) | (~nextState(constB155, constB156)) | v100(constB156) | (~v90(constB156, 0)))),
% 54.79/35.00 inference(transitivity,[status(thm)],[29859, 29857])).
% 54.79/35.00 tff(29861,plain,
% 54.79/35.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB155, constB156)) | v90(constB155, 0) | v100(constB156) | (~v90(constB156, 0)))),
% 54.79/35.00 inference(quant_inst,[status(thm)],[])).
% 54.79/35.00 tff(29862,plain,
% 54.79/35.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB155, 0) | (~nextState(constB155, constB156)) | v100(constB156) | (~v90(constB156, 0))),
% 54.79/35.00 inference(modus_ponens,[status(thm)],[29861, 29860])).
% 54.79/35.00 tff(29863,plain,
% 54.79/35.00 (v90(constB155, 0) | v100(constB156) | (~v90(constB156, 0))),
% 54.79/35.00 inference(unit_resolution,[status(thm)],[29862, 947, 29583])).
% 54.79/35.00 tff(29864,plain,
% 54.79/35.00 (v90(constB155, 0)),
% 54.79/35.00 inference(unit_resolution,[status(thm)],[29863, 29856, 29704])).
% 54.79/35.00 tff(29865,plain,
% 54.79/35.00 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB155, 0)) | v90(constB155, 1) | (~v90(constB155, 2)) | v124(constB155))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB155, 0)) | v90(constB155, 1) | (~v90(constB155, 2)) | v124(constB155))),
% 54.79/35.00 inference(rewrite,[status(thm)],[])).
% 54.79/35.00 tff(29866,plain,
% 54.79/35.00 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB155, 0)) | v90(constB155, 1) | (~v90(constB155, 2)) | v124(constB155))),
% 54.79/35.00 inference(quant_inst,[status(thm)],[])).
% 54.79/35.00 tff(29867,plain,
% 54.79/35.00 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB155, 0)) | v90(constB155, 1) | (~v90(constB155, 2)) | v124(constB155)),
% 54.79/35.00 inference(modus_ponens,[status(thm)],[29866, 29865])).
% 54.79/35.00 tff(29868,plain,
% 54.79/35.00 ((~v90(constB155, 0)) | v90(constB155, 1) | v124(constB155)),
% 54.79/35.00 inference(unit_resolution,[status(thm)],[29867, 2663, 29790])).
% 54.79/35.00 tff(29869,plain,
% 54.79/35.00 ($false),
% 54.79/35.00 inference(unit_resolution,[status(thm)],[29868, 29864, 29775, 29766])).
% 54.79/35.00 tff(29870,plain,(v90(constB156, 1) | v100(constB156) | (~v90(constB156, 2))), inference(lemma,lemma(discharge,[]))).
% 54.79/35.00 tff(29871,plain,
% 54.79/35.00 (v90(constB156, 1)),
% 54.79/35.00 inference(unit_resolution,[status(thm)],[29870, 29704, 29752])).
% 54.79/35.00 tff(29872,plain,
% 54.79/35.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB155, 1) | (~nextState(constB155, constB156)) | v100(constB156) | (~v90(constB156, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB155, 1) | (~nextState(constB155, constB156)) | v100(constB156) | (~v90(constB156, 1)))),
% 54.79/35.00 inference(rewrite,[status(thm)],[])).
% 54.79/35.00 tff(29873,plain,
% 54.79/35.00 (((~nextState(constB155, constB156)) | v90(constB155, 1) | v100(constB156) | (~v90(constB156, 1))) <=> (v90(constB155, 1) | (~nextState(constB155, constB156)) | v100(constB156) | (~v90(constB156, 1)))),
% 54.79/35.00 inference(rewrite,[status(thm)],[])).
% 54.79/35.00 tff(29874,plain,
% 54.79/35.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB155, constB156)) | v90(constB155, 1) | v100(constB156) | (~v90(constB156, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB155, 1) | (~nextState(constB155, constB156)) | v100(constB156) | (~v90(constB156, 1))))),
% 54.79/35.00 inference(monotonicity,[status(thm)],[29873])).
% 54.79/35.00 tff(29875,plain,
% 54.79/35.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB155, constB156)) | v90(constB155, 1) | v100(constB156) | (~v90(constB156, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB155, 1) | (~nextState(constB155, constB156)) | v100(constB156) | (~v90(constB156, 1)))),
% 54.79/35.00 inference(transitivity,[status(thm)],[29874, 29872])).
% 54.79/35.00 tff(29876,plain,
% 54.79/35.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB155, constB156)) | v90(constB155, 1) | v100(constB156) | (~v90(constB156, 1)))),
% 54.79/35.00 inference(quant_inst,[status(thm)],[])).
% 54.79/35.00 tff(29877,plain,
% 54.79/35.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB155, 1) | (~nextState(constB155, constB156)) | v100(constB156) | (~v90(constB156, 1))),
% 54.79/35.00 inference(modus_ponens,[status(thm)],[29876, 29875])).
% 54.79/35.00 tff(29878,plain,
% 54.79/35.00 (v90(constB155, 1) | v100(constB156) | (~v90(constB156, 1))),
% 54.79/35.00 inference(unit_resolution,[status(thm)],[29877, 926, 29583])).
% 54.79/35.00 tff(29879,plain,
% 54.79/35.00 (v90(constB155, 1)),
% 54.79/35.00 inference(unit_resolution,[status(thm)],[29878, 29871, 29704])).
% 54.79/35.00 tff(29880,plain,
% 54.79/35.00 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB155, 0) | (~v90(constB155, 1)) | (~v90(constB155, 2)) | v125(constB155))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB155, 0) | (~v90(constB155, 1)) | (~v90(constB155, 2)) | v125(constB155))),
% 54.79/35.00 inference(rewrite,[status(thm)],[])).
% 54.79/35.00 tff(29881,plain,
% 54.79/35.00 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB155, 0) | (~v90(constB155, 1)) | (~v90(constB155, 2)) | v125(constB155))),
% 54.79/35.00 inference(quant_inst,[status(thm)],[])).
% 54.79/35.00 tff(29882,plain,
% 54.79/35.00 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB155, 0) | (~v90(constB155, 1)) | (~v90(constB155, 2)) | v125(constB155)),
% 54.79/35.00 inference(modus_ponens,[status(thm)],[29881, 29880])).
% 54.79/35.00 tff(29883,plain,
% 54.79/35.00 (v90(constB155, 0) | (~v90(constB155, 1)) | v125(constB155)),
% 54.79/35.00 inference(unit_resolution,[status(thm)],[29882, 2279, 29790])).
% 54.79/35.00 tff(29884,plain,
% 54.79/35.00 (v90(constB155, 0)),
% 54.79/35.00 inference(unit_resolution,[status(thm)],[29883, 29879, 29751])).
% 54.79/35.00 tff(29885,plain,
% 54.79/35.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB154, 0) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB154, 0) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, 0)))),
% 54.79/35.00 inference(rewrite,[status(thm)],[])).
% 54.79/35.00 tff(29886,plain,
% 54.79/35.00 (((~nextState(constB154, constB155)) | v90(constB154, 0) | v100(constB155) | (~v90(constB155, 0))) <=> (v90(constB154, 0) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, 0)))),
% 54.79/35.00 inference(rewrite,[status(thm)],[])).
% 54.79/35.00 tff(29887,plain,
% 54.79/35.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB154, constB155)) | v90(constB154, 0) | v100(constB155) | (~v90(constB155, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB154, 0) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, 0))))),
% 54.79/35.00 inference(monotonicity,[status(thm)],[29886])).
% 54.79/35.00 tff(29888,plain,
% 54.79/35.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB154, constB155)) | v90(constB154, 0) | v100(constB155) | (~v90(constB155, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB154, 0) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, 0)))),
% 54.79/35.00 inference(transitivity,[status(thm)],[29887, 29885])).
% 54.79/35.00 tff(29889,plain,
% 54.79/35.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB154, constB155)) | v90(constB154, 0) | v100(constB155) | (~v90(constB155, 0)))),
% 54.79/35.00 inference(quant_inst,[status(thm)],[])).
% 54.79/35.00 tff(29890,plain,
% 54.79/35.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB154, 0) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, 0))),
% 54.79/35.00 inference(modus_ponens,[status(thm)],[29889, 29888])).
% 54.79/35.00 tff(29891,plain,
% 54.79/35.00 (v90(constB154, 0) | v100(constB155) | (~v90(constB155, 0))),
% 54.79/35.00 inference(unit_resolution,[status(thm)],[29890, 947, 29077])).
% 54.79/35.00 tff(29892,plain,
% 54.79/35.00 (v90(constB154, 0) | (~v90(constB155, 0))),
% 54.79/35.00 inference(unit_resolution,[status(thm)],[29891, 29089])).
% 54.79/35.00 tff(29893,plain,
% 54.79/35.00 (v90(constB154, 0)),
% 54.79/35.00 inference(unit_resolution,[status(thm)],[29892, 29884])).
% 54.79/35.00 tff(29894,plain,
% 54.79/35.00 (v90(constB154, 2)),
% 54.79/35.00 inference(unit_resolution,[status(thm)],[29519, 29790])).
% 54.79/35.00 tff(29895,plain,
% 54.79/35.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB154, 1) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB154, 1) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, 1)))),
% 54.79/35.00 inference(rewrite,[status(thm)],[])).
% 54.79/35.00 tff(29896,plain,
% 54.79/35.00 (((~nextState(constB154, constB155)) | v90(constB154, 1) | v100(constB155) | (~v90(constB155, 1))) <=> (v90(constB154, 1) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, 1)))),
% 54.79/35.00 inference(rewrite,[status(thm)],[])).
% 54.79/35.00 tff(29897,plain,
% 54.79/35.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB154, constB155)) | v90(constB154, 1) | v100(constB155) | (~v90(constB155, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB154, 1) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, 1))))),
% 54.79/35.00 inference(monotonicity,[status(thm)],[29896])).
% 54.79/35.00 tff(29898,plain,
% 54.79/35.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB154, constB155)) | v90(constB154, 1) | v100(constB155) | (~v90(constB155, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB154, 1) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, 1)))),
% 54.79/35.00 inference(transitivity,[status(thm)],[29897, 29895])).
% 54.79/35.00 tff(29899,plain,
% 54.79/35.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB154, constB155)) | v90(constB154, 1) | v100(constB155) | (~v90(constB155, 1)))),
% 54.79/35.00 inference(quant_inst,[status(thm)],[])).
% 54.79/35.00 tff(29900,plain,
% 54.79/35.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB154, 1) | (~nextState(constB154, constB155)) | v100(constB155) | (~v90(constB155, 1))),
% 54.79/35.00 inference(modus_ponens,[status(thm)],[29899, 29898])).
% 54.79/35.00 tff(29901,plain,
% 54.79/35.00 (v90(constB154, 1) | v100(constB155) | (~v90(constB155, 1))),
% 54.79/35.00 inference(unit_resolution,[status(thm)],[29900, 926, 29077])).
% 54.79/35.00 tff(29902,plain,
% 54.79/35.00 (v90(constB154, 1) | (~v90(constB155, 1))),
% 54.79/35.00 inference(unit_resolution,[status(thm)],[29901, 29089])).
% 54.79/35.00 tff(29903,plain,
% 54.79/35.00 (v90(constB154, 1)),
% 54.79/35.00 inference(unit_resolution,[status(thm)],[29902, 29879])).
% 54.79/35.00 tff(29904,assumption,(v90(constB154, 0)), introduced(assumption)).
% 54.79/35.00 tff(29905,assumption,(~v100(constB154)), introduced(assumption)).
% 54.79/35.00 tff(29906,plain,
% 54.79/35.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB153, 0) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB153, 0) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, 0)))),
% 54.79/35.00 inference(rewrite,[status(thm)],[])).
% 54.79/35.00 tff(29907,plain,
% 54.79/35.00 (((~nextState(constB153, constB154)) | v90(constB153, 0) | v100(constB154) | (~v90(constB154, 0))) <=> (v90(constB153, 0) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, 0)))),
% 54.79/35.00 inference(rewrite,[status(thm)],[])).
% 54.79/35.00 tff(29908,plain,
% 54.79/35.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB153, constB154)) | v90(constB153, 0) | v100(constB154) | (~v90(constB154, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB153, 0) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, 0))))),
% 54.79/35.00 inference(monotonicity,[status(thm)],[29907])).
% 54.79/35.00 tff(29909,plain,
% 54.79/35.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB153, constB154)) | v90(constB153, 0) | v100(constB154) | (~v90(constB154, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB153, 0) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, 0)))),
% 54.79/35.00 inference(transitivity,[status(thm)],[29908, 29906])).
% 54.79/35.00 tff(29910,plain,
% 54.79/35.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB153, constB154)) | v90(constB153, 0) | v100(constB154) | (~v90(constB154, 0)))),
% 54.79/35.00 inference(quant_inst,[status(thm)],[])).
% 54.79/35.00 tff(29911,plain,
% 54.79/35.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB153, 0) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, 0))),
% 54.79/35.00 inference(modus_ponens,[status(thm)],[29910, 29909])).
% 54.79/35.00 tff(29912,plain,
% 54.79/35.00 (v90(constB153, 0) | v100(constB154) | (~v90(constB154, 0))),
% 54.79/35.00 inference(unit_resolution,[status(thm)],[29911, 947, 28938])).
% 54.79/35.00 tff(29913,plain,
% 54.79/35.00 (v90(constB153, 0)),
% 54.79/35.00 inference(unit_resolution,[status(thm)],[29912, 29905, 29904])).
% 54.79/35.00 tff(29914,plain,
% 54.79/35.00 (v90(constB152, 0)),
% 54.79/35.00 inference(unit_resolution,[status(thm)],[28917, 29913])).
% 54.79/35.00 tff(29915,assumption,(v90(constB154, 2)), introduced(assumption)).
% 54.79/35.00 tff(29916,plain,
% 54.79/35.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB153, 2) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB153, 2) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, 2)))),
% 54.79/35.00 inference(rewrite,[status(thm)],[])).
% 54.79/35.00 tff(29917,plain,
% 54.79/35.00 (((~nextState(constB153, constB154)) | v90(constB153, 2) | v100(constB154) | (~v90(constB154, 2))) <=> (v90(constB153, 2) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, 2)))),
% 54.79/35.00 inference(rewrite,[status(thm)],[])).
% 54.79/35.00 tff(29918,plain,
% 54.79/35.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB153, constB154)) | v90(constB153, 2) | v100(constB154) | (~v90(constB154, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB153, 2) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, 2))))),
% 54.79/35.00 inference(monotonicity,[status(thm)],[29917])).
% 54.79/35.00 tff(29919,plain,
% 54.79/35.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB153, constB154)) | v90(constB153, 2) | v100(constB154) | (~v90(constB154, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB153, 2) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, 2)))),
% 54.79/35.00 inference(transitivity,[status(thm)],[29918, 29916])).
% 54.79/35.00 tff(29920,plain,
% 54.79/35.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB153, constB154)) | v90(constB153, 2) | v100(constB154) | (~v90(constB154, 2)))),
% 54.79/35.00 inference(quant_inst,[status(thm)],[])).
% 54.79/35.00 tff(29921,plain,
% 54.79/35.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB153, 2) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, 2))),
% 54.79/35.00 inference(modus_ponens,[status(thm)],[29920, 29919])).
% 54.79/35.00 tff(29922,plain,
% 54.79/35.00 (v90(constB153, 2) | v100(constB154) | (~v90(constB154, 2))),
% 54.79/35.00 inference(unit_resolution,[status(thm)],[29921, 905, 28938])).
% 54.79/35.00 tff(29923,plain,
% 54.79/35.00 (v90(constB153, 2)),
% 54.79/35.00 inference(unit_resolution,[status(thm)],[29922, 29905, 29915])).
% 54.79/35.00 tff(29924,plain,
% 54.79/35.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB152, 2) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB152, 2) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, 2)))),
% 54.79/35.00 inference(rewrite,[status(thm)],[])).
% 54.79/35.00 tff(29925,plain,
% 54.79/35.00 (((~nextState(constB152, constB153)) | v90(constB152, 2) | v100(constB153) | (~v90(constB153, 2))) <=> (v90(constB152, 2) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, 2)))),
% 54.79/35.00 inference(rewrite,[status(thm)],[])).
% 54.79/35.00 tff(29926,plain,
% 54.79/35.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB152, constB153)) | v90(constB152, 2) | v100(constB153) | (~v90(constB153, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB152, 2) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, 2))))),
% 54.79/35.00 inference(monotonicity,[status(thm)],[29925])).
% 54.79/35.00 tff(29927,plain,
% 54.79/35.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB152, constB153)) | v90(constB152, 2) | v100(constB153) | (~v90(constB153, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB152, 2) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, 2)))),
% 54.79/35.00 inference(transitivity,[status(thm)],[29926, 29924])).
% 54.79/35.00 tff(29928,plain,
% 54.79/35.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB152, constB153)) | v90(constB152, 2) | v100(constB153) | (~v90(constB153, 2)))),
% 54.79/35.00 inference(quant_inst,[status(thm)],[])).
% 54.79/35.00 tff(29929,plain,
% 54.79/35.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB152, 2) | (~nextState(constB152, constB153)) | v100(constB153) | (~v90(constB153, 2))),
% 54.79/35.00 inference(modus_ponens,[status(thm)],[29928, 29927])).
% 54.79/35.00 tff(29930,plain,
% 54.79/35.00 (v90(constB152, 2) | v100(constB153) | (~v90(constB153, 2))),
% 54.79/35.00 inference(unit_resolution,[status(thm)],[29929, 905, 28829])).
% 54.79/35.00 tff(29931,plain,
% 54.79/35.00 (v90(constB152, 2) | (~v90(constB153, 2))),
% 54.79/35.00 inference(unit_resolution,[status(thm)],[29930, 28841])).
% 54.79/35.00 tff(29932,plain,
% 54.79/35.00 (v90(constB152, 2)),
% 54.79/35.00 inference(unit_resolution,[status(thm)],[29931, 29923])).
% 54.79/35.00 tff(29933,assumption,(v90(constB154, 1)), introduced(assumption)).
% 54.79/35.00 tff(29934,plain,
% 54.79/35.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB153, 1) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB153, 1) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, 1)))),
% 54.79/35.00 inference(rewrite,[status(thm)],[])).
% 54.79/35.00 tff(29935,plain,
% 54.79/35.00 (((~nextState(constB153, constB154)) | v90(constB153, 1) | v100(constB154) | (~v90(constB154, 1))) <=> (v90(constB153, 1) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, 1)))),
% 54.79/35.00 inference(rewrite,[status(thm)],[])).
% 54.79/35.00 tff(29936,plain,
% 54.79/35.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB153, constB154)) | v90(constB153, 1) | v100(constB154) | (~v90(constB154, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB153, 1) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, 1))))),
% 54.79/35.00 inference(monotonicity,[status(thm)],[29935])).
% 54.79/35.00 tff(29937,plain,
% 54.79/35.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB153, constB154)) | v90(constB153, 1) | v100(constB154) | (~v90(constB154, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB153, 1) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, 1)))),
% 54.79/35.01 inference(transitivity,[status(thm)],[29936, 29934])).
% 54.79/35.01 tff(29938,plain,
% 54.79/35.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB153, constB154)) | v90(constB153, 1) | v100(constB154) | (~v90(constB154, 1)))),
% 54.79/35.01 inference(quant_inst,[status(thm)],[])).
% 54.79/35.01 tff(29939,plain,
% 54.79/35.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB153, 1) | (~nextState(constB153, constB154)) | v100(constB154) | (~v90(constB154, 1))),
% 54.79/35.01 inference(modus_ponens,[status(thm)],[29938, 29937])).
% 54.79/35.01 tff(29940,plain,
% 54.79/35.01 (v90(constB153, 1) | v100(constB154) | (~v90(constB154, 1))),
% 54.79/35.01 inference(unit_resolution,[status(thm)],[29939, 926, 28938])).
% 54.79/35.01 tff(29941,plain,
% 54.79/35.01 (v90(constB153, 1)),
% 54.79/35.01 inference(unit_resolution,[status(thm)],[29940, 29905, 29933])).
% 54.79/35.01 tff(29942,plain,
% 54.79/35.01 (v90(constB152, 1)),
% 54.79/35.01 inference(unit_resolution,[status(thm)],[28883, 29941])).
% 54.79/35.01 tff(29943,assumption,(v100(constB152)), introduced(assumption)).
% 54.79/35.01 tff(29944,assumption,(v90(constB152, 2)), introduced(assumption)).
% 54.79/35.01 tff(29945,plain,
% 54.79/35.01 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB152, 2)) | v129(constB152, 2) | (~v100(constB152)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB152, 2)) | v129(constB152, 2) | (~v100(constB152)))),
% 54.79/35.01 inference(rewrite,[status(thm)],[])).
% 54.79/35.01 tff(29946,plain,
% 54.79/35.01 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB152, 2)) | v129(constB152, 2) | (~v100(constB152)))),
% 54.79/35.01 inference(quant_inst,[status(thm)],[])).
% 54.79/35.01 tff(29947,plain,
% 54.79/35.01 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB152, 2)) | v129(constB152, 2) | (~v100(constB152))),
% 54.79/35.01 inference(modus_ponens,[status(thm)],[29946, 29945])).
% 54.79/35.01 tff(29948,plain,
% 54.79/35.01 (v129(constB152, 2) | (~v100(constB152))),
% 54.79/35.01 inference(unit_resolution,[status(thm)],[29947, 1223, 29944])).
% 54.79/35.01 tff(29949,plain,
% 54.79/35.01 (v129(constB152, 2)),
% 54.79/35.01 inference(unit_resolution,[status(thm)],[29948, 29943])).
% 54.79/35.01 tff(29950,plain,
% 54.79/35.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB151, constB152)) | v127(constB151, 2) | (~v129(constB152, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB151, constB152)) | v127(constB151, 2) | (~v129(constB152, 2)))),
% 54.79/35.01 inference(rewrite,[status(thm)],[])).
% 54.79/35.01 tff(29951,plain,
% 54.79/35.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB151, constB152)) | v127(constB151, 2) | (~v129(constB152, 2)))),
% 54.79/35.01 inference(quant_inst,[status(thm)],[])).
% 54.79/35.01 tff(29952,plain,
% 54.79/35.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB151, constB152)) | v127(constB151, 2) | (~v129(constB152, 2))),
% 54.79/35.01 inference(modus_ponens,[status(thm)],[29951, 29950])).
% 54.79/35.01 tff(29953,plain,
% 54.79/35.01 (v127(constB151, 2) | (~v129(constB152, 2))),
% 54.79/35.01 inference(unit_resolution,[status(thm)],[29952, 1208, 28770])).
% 54.79/35.01 tff(29954,plain,
% 54.79/35.01 (v127(constB151, 2)),
% 54.79/35.01 inference(unit_resolution,[status(thm)],[29953, 29949])).
% 54.79/35.01 tff(29955,assumption,(v127(constB151, 2)), introduced(assumption)).
% 54.79/35.01 tff(29956,assumption,(~v130(constB151, 2)), introduced(assumption)).
% 54.79/35.01 tff(29957,plain,
% 54.79/35.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB151, 2)) | v26(constB151) | v130(constB151, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB151, 2)) | v26(constB151) | v130(constB151, 2))),
% 54.84/35.01 inference(rewrite,[status(thm)],[])).
% 54.84/35.01 tff(29958,plain,
% 54.84/35.01 ((v26(constB151) | v130(constB151, 2) | (~v127(constB151, 2))) <=> ((~v127(constB151, 2)) | v26(constB151) | v130(constB151, 2))),
% 54.84/35.01 inference(rewrite,[status(thm)],[])).
% 54.84/35.01 tff(29959,plain,
% 54.84/35.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB151) | v130(constB151, 2) | (~v127(constB151, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB151, 2)) | v26(constB151) | v130(constB151, 2)))),
% 54.84/35.01 inference(monotonicity,[status(thm)],[29958])).
% 54.84/35.01 tff(29960,plain,
% 54.84/35.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB151) | v130(constB151, 2) | (~v127(constB151, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB151, 2)) | v26(constB151) | v130(constB151, 2))),
% 54.84/35.01 inference(transitivity,[status(thm)],[29959, 29957])).
% 54.84/35.01 tff(29961,plain,
% 54.84/35.01 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB151) | v130(constB151, 2) | (~v127(constB151, 2)))),
% 54.84/35.01 inference(quant_inst,[status(thm)],[])).
% 54.84/35.01 tff(29962,plain,
% 54.84/35.01 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB151, 2)) | v26(constB151) | v130(constB151, 2)),
% 54.84/35.01 inference(modus_ponens,[status(thm)],[29961, 29960])).
% 54.84/35.01 tff(29963,plain,
% 54.84/35.01 ((~v127(constB151, 2)) | v26(constB151)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[29962, 1190, 29956])).
% 54.84/35.01 tff(29964,plain,
% 54.84/35.01 (v26(constB151)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[29963, 29955])).
% 54.84/35.01 tff(29965,plain,
% 54.84/35.01 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | ((~v26(constB151)) | (~v127(constB151, 2)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | (~v26(constB151)) | (~v127(constB151, 2)))),
% 54.84/35.01 inference(rewrite,[status(thm)],[])).
% 54.84/35.01 tff(29966,plain,
% 54.84/35.01 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | ((~v26(constB151)) | (~v127(constB151, 2)))),
% 54.84/35.01 inference(quant_inst,[status(thm)],[])).
% 54.84/35.01 tff(29967,plain,
% 54.84/35.01 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | (~v26(constB151)) | (~v127(constB151, 2))),
% 54.84/35.01 inference(modus_ponens,[status(thm)],[29966, 29965])).
% 54.84/35.01 tff(29968,plain,
% 54.84/35.01 ($false),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[29967, 3715, 29955, 29964])).
% 54.84/35.01 tff(29969,plain,((~v127(constB151, 2)) | v130(constB151, 2)), inference(lemma,lemma(discharge,[]))).
% 54.84/35.01 tff(29970,plain,
% 54.84/35.01 (v130(constB151, 2)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[29969, 29954])).
% 54.84/35.01 tff(29971,plain,
% 54.84/35.01 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB151)) | (~v130(constB151, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB151)) | (~v130(constB151, 2)))),
% 54.84/35.01 inference(rewrite,[status(thm)],[])).
% 54.84/35.01 tff(29972,plain,
% 54.84/35.01 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB151)) | (~v130(constB151, 2)))),
% 54.84/35.01 inference(quant_inst,[status(thm)],[])).
% 54.84/35.01 tff(29973,plain,
% 54.84/35.01 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB151)) | (~v130(constB151, 2))),
% 54.84/35.01 inference(modus_ponens,[status(thm)],[29972, 29971])).
% 54.84/35.01 tff(29974,plain,
% 54.84/35.01 (~v121(constB151)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[29973, 1821, 29970])).
% 54.84/35.01 tff(29975,plain,
% 54.84/35.01 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB151)) | (~v130(constB151, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB151)) | (~v130(constB151, 2)))),
% 54.84/35.01 inference(rewrite,[status(thm)],[])).
% 54.84/35.01 tff(29976,plain,
% 54.84/35.01 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB151)) | (~v130(constB151, 2)))),
% 54.84/35.01 inference(quant_inst,[status(thm)],[])).
% 54.84/35.01 tff(29977,plain,
% 54.84/35.01 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB151)) | (~v130(constB151, 2))),
% 54.84/35.01 inference(modus_ponens,[status(thm)],[29976, 29975])).
% 54.84/35.01 tff(29978,plain,
% 54.84/35.01 (~v119(constB151)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[29977, 1176, 29970])).
% 54.84/35.01 tff(29979,assumption,(v90(constB152, 0)), introduced(assumption)).
% 54.84/35.01 tff(29980,plain,
% 54.84/35.01 (v129(constB152, 0) | (~v100(constB152))),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[28907, 1704, 29979])).
% 54.84/35.01 tff(29981,plain,
% 54.84/35.01 (v129(constB152, 0)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[29980, 29943])).
% 54.84/35.01 tff(29982,plain,
% 54.84/35.01 (v127(constB151, 0)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[28900, 29981])).
% 54.84/35.01 tff(29983,plain,
% 54.84/35.01 (v130(constB151, 0)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[28895, 29982])).
% 54.84/35.01 tff(29984,plain,
% 54.84/35.01 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB151)) | (~v130(constB151, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB151)) | (~v130(constB151, 0)))),
% 54.84/35.01 inference(rewrite,[status(thm)],[])).
% 54.84/35.01 tff(29985,plain,
% 54.84/35.01 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB151)) | (~v130(constB151, 0)))),
% 54.84/35.01 inference(quant_inst,[status(thm)],[])).
% 54.84/35.01 tff(29986,plain,
% 54.84/35.01 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB151)) | (~v130(constB151, 0))),
% 54.84/35.01 inference(modus_ponens,[status(thm)],[29985, 29984])).
% 54.84/35.01 tff(29987,plain,
% 54.84/35.01 (~v120(constB151)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[29986, 1657, 29983])).
% 54.84/35.01 tff(29988,plain,
% 54.84/35.01 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB151)) | (~v130(constB151, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB151)) | (~v130(constB151, 0)))),
% 54.84/35.01 inference(rewrite,[status(thm)],[])).
% 54.84/35.01 tff(29989,plain,
% 54.84/35.01 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB151)) | (~v130(constB151, 0)))),
% 54.84/35.01 inference(quant_inst,[status(thm)],[])).
% 54.84/35.01 tff(29990,plain,
% 54.84/35.01 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB151)) | (~v130(constB151, 0))),
% 54.84/35.01 inference(modus_ponens,[status(thm)],[29989, 29988])).
% 54.84/35.01 tff(29991,plain,
% 54.84/35.01 (~v124(constB151)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[29990, 3274, 29983])).
% 54.84/35.01 tff(29992,plain,
% 54.84/35.01 (~v122(constB151)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[28887, 2407, 29983])).
% 54.84/35.01 tff(29993,assumption,(v90(constB152, 1)), introduced(assumption)).
% 54.84/35.01 tff(29994,plain,
% 54.84/35.01 (v129(constB152, 1) | (~v100(constB152))),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[28873, 1309, 29993])).
% 54.84/35.01 tff(29995,plain,
% 54.84/35.01 (v129(constB152, 1)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[29994, 29943])).
% 54.84/35.01 tff(29996,plain,
% 54.84/35.01 (v127(constB151, 1)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[28866, 29995])).
% 54.84/35.01 tff(29997,plain,
% 54.84/35.01 (v130(constB151, 1)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[28861, 29996])).
% 54.84/35.01 tff(29998,plain,
% 54.84/35.01 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB151) | v120(constB151) | v121(constB151) | v122(constB151) | v123(constB151) | v124(constB151) | (~v130(constB151, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB151) | v120(constB151) | v121(constB151) | v122(constB151) | v123(constB151) | v124(constB151) | (~v130(constB151, 1)))),
% 54.84/35.01 inference(rewrite,[status(thm)],[])).
% 54.84/35.01 tff(29999,plain,
% 54.84/35.01 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB151) | v120(constB151) | v121(constB151) | v122(constB151) | v123(constB151) | v124(constB151) | (~v130(constB151, 1)))),
% 54.84/35.01 inference(quant_inst,[status(thm)],[])).
% 54.84/35.01 tff(30000,plain,
% 54.84/35.01 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB151) | v120(constB151) | v121(constB151) | v122(constB151) | v123(constB151) | v124(constB151) | (~v130(constB151, 1))),
% 54.84/35.01 inference(modus_ponens,[status(thm)],[29999, 29998])).
% 54.84/35.01 tff(30001,plain,
% 54.84/35.01 (v123(constB151)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[30000, 3309, 29997, 29992, 29991, 29987, 29978, 29974])).
% 54.84/35.01 tff(30002,plain,
% 54.84/35.01 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB151)) | (~v130(constB151, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB151)) | (~v130(constB151, 1)))),
% 54.84/35.01 inference(rewrite,[status(thm)],[])).
% 54.84/35.01 tff(30003,plain,
% 54.84/35.01 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB151)) | (~v130(constB151, 1)))),
% 54.84/35.01 inference(quant_inst,[status(thm)],[])).
% 54.84/35.01 tff(30004,plain,
% 54.84/35.01 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB151)) | (~v130(constB151, 1))),
% 54.84/35.01 inference(modus_ponens,[status(thm)],[30003, 30002])).
% 54.84/35.01 tff(30005,plain,
% 54.84/35.01 ($false),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[30004, 2581, 29997, 30001])).
% 54.84/35.01 tff(30006,plain,((~v100(constB152)) | (~v90(constB152, 1)) | (~v90(constB152, 2)) | (~v90(constB152, 0))), inference(lemma,lemma(discharge,[]))).
% 54.84/35.01 tff(30007,plain,
% 54.84/35.01 (~v100(constB152)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[30006, 29942, 29932, 29914])).
% 54.84/35.01 tff(30008,plain,
% 54.84/35.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB151, 0) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB151, 0) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, 0)))),
% 54.84/35.01 inference(rewrite,[status(thm)],[])).
% 54.84/35.01 tff(30009,plain,
% 54.84/35.01 (((~nextState(constB151, constB152)) | v90(constB151, 0) | v100(constB152) | (~v90(constB152, 0))) <=> (v90(constB151, 0) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, 0)))),
% 54.84/35.01 inference(rewrite,[status(thm)],[])).
% 54.84/35.01 tff(30010,plain,
% 54.84/35.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB151, constB152)) | v90(constB151, 0) | v100(constB152) | (~v90(constB152, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB151, 0) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, 0))))),
% 54.84/35.01 inference(monotonicity,[status(thm)],[30009])).
% 54.84/35.01 tff(30011,plain,
% 54.84/35.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB151, constB152)) | v90(constB151, 0) | v100(constB152) | (~v90(constB152, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB151, 0) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, 0)))),
% 54.84/35.01 inference(transitivity,[status(thm)],[30010, 30008])).
% 54.84/35.01 tff(30012,plain,
% 54.84/35.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB151, constB152)) | v90(constB151, 0) | v100(constB152) | (~v90(constB152, 0)))),
% 54.84/35.01 inference(quant_inst,[status(thm)],[])).
% 54.84/35.01 tff(30013,plain,
% 54.84/35.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB151, 0) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, 0))),
% 54.84/35.01 inference(modus_ponens,[status(thm)],[30012, 30011])).
% 54.84/35.01 tff(30014,plain,
% 54.84/35.01 (v90(constB151, 0) | v100(constB152) | (~v90(constB152, 0))),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[30013, 947, 28770])).
% 54.84/35.01 tff(30015,plain,
% 54.84/35.01 (v90(constB151, 0)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[30014, 30007, 29914])).
% 54.84/35.01 tff(30016,plain,
% 54.84/35.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB150, 0) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB150, 0) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, 0)))),
% 54.84/35.01 inference(rewrite,[status(thm)],[])).
% 54.84/35.01 tff(30017,plain,
% 54.84/35.01 (((~nextState(constB150, constB151)) | v90(constB150, 0) | v100(constB151) | (~v90(constB151, 0))) <=> (v90(constB150, 0) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, 0)))),
% 54.84/35.01 inference(rewrite,[status(thm)],[])).
% 54.84/35.01 tff(30018,plain,
% 54.84/35.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB150, constB151)) | v90(constB150, 0) | v100(constB151) | (~v90(constB151, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB150, 0) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, 0))))),
% 54.84/35.01 inference(monotonicity,[status(thm)],[30017])).
% 54.84/35.01 tff(30019,plain,
% 54.84/35.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB150, constB151)) | v90(constB150, 0) | v100(constB151) | (~v90(constB151, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB150, 0) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, 0)))),
% 54.84/35.01 inference(transitivity,[status(thm)],[30018, 30016])).
% 54.84/35.01 tff(30020,plain,
% 54.84/35.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB150, constB151)) | v90(constB150, 0) | v100(constB151) | (~v90(constB151, 0)))),
% 54.84/35.01 inference(quant_inst,[status(thm)],[])).
% 54.84/35.01 tff(30021,plain,
% 54.84/35.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB150, 0) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, 0))),
% 54.84/35.01 inference(modus_ponens,[status(thm)],[30020, 30019])).
% 54.84/35.01 tff(30022,plain,
% 54.84/35.01 (v90(constB150, 0) | v100(constB151) | (~v90(constB151, 0))),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[30021, 947, 25131])).
% 54.84/35.01 tff(30023,plain,
% 54.84/35.01 (v90(constB150, 0) | (~v90(constB151, 0))),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[30022, 28683])).
% 54.84/35.01 tff(30024,plain,
% 54.84/35.01 (v90(constB150, 0)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[30023, 30015])).
% 54.84/35.01 tff(30025,assumption,(v123(constB145)), introduced(assumption)).
% 54.84/35.01 tff(30026,plain,
% 54.84/35.01 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB145)) | v115(constB145))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB145)) | v115(constB145))),
% 54.84/35.01 inference(rewrite,[status(thm)],[])).
% 54.84/35.01 tff(30027,plain,
% 54.84/35.01 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB145)) | v115(constB145))),
% 54.84/35.01 inference(quant_inst,[status(thm)],[])).
% 54.84/35.01 tff(30028,plain,
% 54.84/35.01 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB145)) | v115(constB145)),
% 54.84/35.01 inference(modus_ponens,[status(thm)],[30027, 30026])).
% 54.84/35.01 tff(30029,plain,
% 54.84/35.01 (v115(constB145)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[30028, 2291, 30025])).
% 54.84/35.01 tff(30030,plain,
% 54.84/35.01 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB145) | (~v115(constB145)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB145) | (~v115(constB145)))),
% 54.84/35.01 inference(rewrite,[status(thm)],[])).
% 54.84/35.01 tff(30031,plain,
% 54.84/35.01 (((~v115(constB145)) | v114(constB145)) <=> (v114(constB145) | (~v115(constB145)))),
% 54.84/35.01 inference(rewrite,[status(thm)],[])).
% 54.84/35.01 tff(30032,plain,
% 54.84/35.01 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB145)) | v114(constB145))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB145) | (~v115(constB145))))),
% 54.84/35.01 inference(monotonicity,[status(thm)],[30031])).
% 54.84/35.01 tff(30033,plain,
% 54.84/35.01 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB145)) | v114(constB145))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB145) | (~v115(constB145)))),
% 54.84/35.01 inference(transitivity,[status(thm)],[30032, 30030])).
% 54.84/35.01 tff(30034,plain,
% 54.84/35.01 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB145)) | v114(constB145))),
% 54.84/35.01 inference(quant_inst,[status(thm)],[])).
% 54.84/35.01 tff(30035,plain,
% 54.84/35.01 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB145) | (~v115(constB145))),
% 54.84/35.01 inference(modus_ponens,[status(thm)],[30034, 30033])).
% 54.84/35.01 tff(30036,plain,
% 54.84/35.01 (v114(constB145)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[30035, 1035, 30029])).
% 54.84/35.01 tff(30037,plain,
% 54.84/35.01 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB145) | (~v114(constB145)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB145) | (~v114(constB145)))),
% 54.84/35.01 inference(rewrite,[status(thm)],[])).
% 54.84/35.01 tff(30038,plain,
% 54.84/35.01 (((~v114(constB145)) | v113(constB145)) <=> (v113(constB145) | (~v114(constB145)))),
% 54.84/35.01 inference(rewrite,[status(thm)],[])).
% 54.84/35.01 tff(30039,plain,
% 54.84/35.01 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB145)) | v113(constB145))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB145) | (~v114(constB145))))),
% 54.84/35.01 inference(monotonicity,[status(thm)],[30038])).
% 54.84/35.01 tff(30040,plain,
% 54.84/35.01 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB145)) | v113(constB145))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB145) | (~v114(constB145)))),
% 54.84/35.01 inference(transitivity,[status(thm)],[30039, 30037])).
% 54.84/35.01 tff(30041,plain,
% 54.84/35.01 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB145)) | v113(constB145))),
% 54.84/35.01 inference(quant_inst,[status(thm)],[])).
% 54.84/35.01 tff(30042,plain,
% 54.84/35.01 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB145) | (~v114(constB145))),
% 54.84/35.01 inference(modus_ponens,[status(thm)],[30041, 30040])).
% 54.84/35.01 tff(30043,plain,
% 54.84/35.01 (v113(constB145)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[30042, 1049, 30036])).
% 54.84/35.01 tff(30044,plain,
% 54.84/35.01 (v112(constB145)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[24515, 30043])).
% 54.84/35.01 tff(30045,plain,
% 54.84/35.01 (v108(constB145)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[24522, 1075, 30044])).
% 54.84/35.01 tff(30046,plain,
% 54.84/35.01 (v110(constB146)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[24533, 30045])).
% 54.84/35.01 tff(30047,plain,
% 54.84/35.01 (v100(constB146)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[24556, 30046])).
% 54.84/35.01 tff(30048,plain,
% 54.84/35.01 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB145)) | v130(constB145, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB145)) | v130(constB145, 0))),
% 54.84/35.01 inference(rewrite,[status(thm)],[])).
% 54.84/35.01 tff(30049,plain,
% 54.84/35.01 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB145)) | v130(constB145, 0))),
% 54.84/35.01 inference(quant_inst,[status(thm)],[])).
% 54.84/35.01 tff(30050,plain,
% 54.84/35.01 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB145)) | v130(constB145, 0)),
% 54.84/35.01 inference(modus_ponens,[status(thm)],[30049, 30048])).
% 54.84/35.01 tff(30051,plain,
% 54.84/35.01 (v130(constB145, 0)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[30050, 2622, 30025])).
% 54.84/35.01 tff(30052,plain,
% 54.84/35.01 (v127(constB145, 0)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[24589, 30051])).
% 54.84/35.01 tff(30053,plain,
% 54.84/35.01 (v129(constB146, 0)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[24594, 30052])).
% 54.84/35.01 tff(30054,plain,
% 54.84/35.01 (v90(constB146, 0) | (~v100(constB146))),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[24601, 1377, 30053])).
% 54.84/35.01 tff(30055,plain,
% 54.84/35.01 (v90(constB146, 0)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[30054, 30047])).
% 54.84/35.01 tff(30056,plain,
% 54.84/35.01 (v90(constB147, 0)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[24629, 30055])).
% 54.84/35.01 tff(30057,plain,
% 54.84/35.01 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB145)) | v130(constB145, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB145)) | v130(constB145, 2))),
% 54.84/35.01 inference(rewrite,[status(thm)],[])).
% 54.84/35.01 tff(30058,plain,
% 54.84/35.01 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB145)) | v130(constB145, 2))),
% 54.84/35.01 inference(quant_inst,[status(thm)],[])).
% 54.84/35.01 tff(30059,plain,
% 54.84/35.01 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB145)) | v130(constB145, 2)),
% 54.84/35.01 inference(modus_ponens,[status(thm)],[30058, 30057])).
% 54.84/35.01 tff(30060,plain,
% 54.84/35.01 (v130(constB145, 2)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[30059, 2525, 30025])).
% 54.84/35.01 tff(30061,plain,
% 54.84/35.01 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB145) | (~v130(constB145, 2)) | v127(constB145, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB145) | (~v130(constB145, 2)) | v127(constB145, 2))),
% 54.84/35.01 inference(rewrite,[status(thm)],[])).
% 54.84/35.01 tff(30062,plain,
% 54.84/35.01 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB145) | (~v130(constB145, 2)) | v127(constB145, 2))),
% 54.84/35.01 inference(quant_inst,[status(thm)],[])).
% 54.84/35.01 tff(30063,plain,
% 54.84/35.01 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB145) | (~v130(constB145, 2)) | v127(constB145, 2)),
% 54.84/35.01 inference(modus_ponens,[status(thm)],[30062, 30061])).
% 54.84/35.01 tff(30064,plain,
% 54.84/35.01 ((~v130(constB145, 2)) | v127(constB145, 2)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[30063, 1981, 24511])).
% 54.84/35.01 tff(30065,plain,
% 54.84/35.01 (v127(constB145, 2)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[30064, 30060])).
% 54.84/35.01 tff(30066,plain,
% 54.84/35.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB145, constB146)) | (~v127(constB145, 2)) | v129(constB146, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB145, constB146)) | (~v127(constB145, 2)) | v129(constB146, 2))),
% 54.84/35.01 inference(rewrite,[status(thm)],[])).
% 54.84/35.01 tff(30067,plain,
% 54.84/35.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB145, constB146)) | (~v127(constB145, 2)) | v129(constB146, 2))),
% 54.84/35.01 inference(quant_inst,[status(thm)],[])).
% 54.84/35.01 tff(30068,plain,
% 54.84/35.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB145, constB146)) | (~v127(constB145, 2)) | v129(constB146, 2)),
% 54.84/35.01 inference(modus_ponens,[status(thm)],[30067, 30066])).
% 54.84/35.01 tff(30069,plain,
% 54.84/35.01 ((~v127(constB145, 2)) | v129(constB146, 2)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[30068, 1999, 24526])).
% 54.84/35.01 tff(30070,plain,
% 54.84/35.01 (v129(constB146, 2)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[30069, 30065])).
% 54.84/35.01 tff(30071,plain,
% 54.84/35.01 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB146, 2) | (~v129(constB146, 2)) | (~v100(constB146)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB146, 2) | (~v129(constB146, 2)) | (~v100(constB146)))),
% 54.84/35.01 inference(rewrite,[status(thm)],[])).
% 54.84/35.01 tff(30072,plain,
% 54.84/35.01 ((v90(constB146, 2) | (~v100(constB146)) | (~v129(constB146, 2))) <=> (v90(constB146, 2) | (~v129(constB146, 2)) | (~v100(constB146)))),
% 54.84/35.01 inference(rewrite,[status(thm)],[])).
% 54.84/35.01 tff(30073,plain,
% 54.84/35.01 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB146, 2) | (~v100(constB146)) | (~v129(constB146, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB146, 2) | (~v129(constB146, 2)) | (~v100(constB146))))),
% 54.84/35.01 inference(monotonicity,[status(thm)],[30072])).
% 54.84/35.01 tff(30074,plain,
% 54.84/35.01 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB146, 2) | (~v100(constB146)) | (~v129(constB146, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB146, 2) | (~v129(constB146, 2)) | (~v100(constB146)))),
% 54.84/35.01 inference(transitivity,[status(thm)],[30073, 30071])).
% 54.84/35.01 tff(30075,plain,
% 54.84/35.01 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB146, 2) | (~v100(constB146)) | (~v129(constB146, 2)))),
% 54.84/35.01 inference(quant_inst,[status(thm)],[])).
% 54.84/35.01 tff(30076,plain,
% 54.84/35.01 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB146, 2) | (~v129(constB146, 2)) | (~v100(constB146))),
% 54.84/35.01 inference(modus_ponens,[status(thm)],[30075, 30074])).
% 54.84/35.01 tff(30077,plain,
% 54.84/35.01 (v90(constB146, 2) | (~v100(constB146))),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[30076, 2324, 30070])).
% 54.84/35.01 tff(30078,plain,
% 54.84/35.01 (v90(constB146, 2)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[30077, 30047])).
% 54.84/35.01 tff(30079,plain,
% 54.84/35.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB146, 2)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB146, 2)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, 2))),
% 54.84/35.01 inference(rewrite,[status(thm)],[])).
% 54.84/35.01 tff(30080,plain,
% 54.84/35.01 (((~nextState(constB146, constB147)) | (~v90(constB146, 2)) | v100(constB147) | v90(constB147, 2)) <=> ((~v90(constB146, 2)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, 2))),
% 54.84/35.01 inference(rewrite,[status(thm)],[])).
% 54.84/35.01 tff(30081,plain,
% 54.84/35.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB146, constB147)) | (~v90(constB146, 2)) | v100(constB147) | v90(constB147, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB146, 2)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, 2)))),
% 54.84/35.01 inference(monotonicity,[status(thm)],[30080])).
% 54.84/35.01 tff(30082,plain,
% 54.84/35.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB146, constB147)) | (~v90(constB146, 2)) | v100(constB147) | v90(constB147, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB146, 2)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, 2))),
% 54.84/35.01 inference(transitivity,[status(thm)],[30081, 30079])).
% 54.84/35.01 tff(30083,plain,
% 54.84/35.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB146, constB147)) | (~v90(constB146, 2)) | v100(constB147) | v90(constB147, 2))),
% 54.84/35.01 inference(quant_inst,[status(thm)],[])).
% 54.84/35.01 tff(30084,plain,
% 54.84/35.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB146, 2)) | (~nextState(constB146, constB147)) | v100(constB147) | v90(constB147, 2)),
% 54.84/35.01 inference(modus_ponens,[status(thm)],[30083, 30082])).
% 54.84/35.01 tff(30085,plain,
% 54.84/35.01 ((~v90(constB146, 2)) | v100(constB147) | v90(constB147, 2)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[30084, 2174, 24609])).
% 54.84/35.01 tff(30086,plain,
% 54.84/35.01 ((~v90(constB146, 2)) | v90(constB147, 2)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[30085, 24621])).
% 54.84/35.01 tff(30087,plain,
% 54.84/35.01 (v90(constB147, 2)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[30086, 30078])).
% 54.84/35.01 tff(30088,plain,
% 54.84/35.01 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB145)) | (~v130(constB145, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB145)) | (~v130(constB145, 1)))),
% 54.84/35.01 inference(rewrite,[status(thm)],[])).
% 54.84/35.01 tff(30089,plain,
% 54.84/35.01 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB145)) | (~v130(constB145, 1)))),
% 54.84/35.01 inference(quant_inst,[status(thm)],[])).
% 54.84/35.01 tff(30090,plain,
% 54.84/35.01 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB145)) | (~v130(constB145, 1))),
% 54.84/35.01 inference(modus_ponens,[status(thm)],[30089, 30088])).
% 54.84/35.01 tff(30091,plain,
% 54.84/35.01 (~v130(constB145, 1)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[30090, 2581, 30025])).
% 54.84/35.01 tff(30092,plain,
% 54.84/35.01 (~v127(constB145, 1)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[24672, 30091])).
% 54.84/35.01 tff(30093,plain,
% 54.84/35.01 (~v129(constB146, 1)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[24677, 30092])).
% 54.84/35.01 tff(30094,plain,
% 54.84/35.01 ((~v90(constB146, 1)) | (~v100(constB146))),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[24684, 1309, 30093])).
% 54.84/35.01 tff(30095,plain,
% 54.84/35.01 (~v90(constB146, 1)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[30094, 30047])).
% 54.84/35.01 tff(30096,plain,
% 54.84/35.01 (~v90(constB147, 1)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[24694, 30095])).
% 54.84/35.01 tff(30097,plain,
% 54.84/35.01 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB147, 0)) | v90(constB147, 1) | (~v90(constB147, 2)) | v124(constB147))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB147, 0)) | v90(constB147, 1) | (~v90(constB147, 2)) | v124(constB147))),
% 54.84/35.01 inference(rewrite,[status(thm)],[])).
% 54.84/35.01 tff(30098,plain,
% 54.84/35.01 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB147, 0)) | v90(constB147, 1) | (~v90(constB147, 2)) | v124(constB147))),
% 54.84/35.01 inference(quant_inst,[status(thm)],[])).
% 54.84/35.01 tff(30099,plain,
% 54.84/35.01 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB147, 0)) | v90(constB147, 1) | (~v90(constB147, 2)) | v124(constB147)),
% 54.84/35.01 inference(modus_ponens,[status(thm)],[30098, 30097])).
% 54.84/35.01 tff(30100,plain,
% 54.84/35.01 (v124(constB147)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[30099, 2663, 30056, 30096, 30087])).
% 54.84/35.01 tff(30101,plain,
% 54.84/35.01 (~v130(constB147, 0)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[28567, 3274, 30100])).
% 54.84/35.01 tff(30102,plain,
% 54.84/35.01 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB147)) | v114(constB147))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB147)) | v114(constB147))),
% 54.84/35.01 inference(rewrite,[status(thm)],[])).
% 54.84/35.01 tff(30103,plain,
% 54.84/35.01 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB147)) | v114(constB147))),
% 54.84/35.01 inference(quant_inst,[status(thm)],[])).
% 54.84/35.01 tff(30104,plain,
% 54.84/35.01 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB147)) | v114(constB147)),
% 54.84/35.01 inference(modus_ponens,[status(thm)],[30103, 30102])).
% 54.84/35.01 tff(30105,plain,
% 54.84/35.01 (v114(constB147)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[30104, 2674, 30100])).
% 54.84/35.01 tff(30106,plain,
% 54.84/35.01 (v113(constB147)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[24738, 1049, 30105])).
% 54.84/35.01 tff(30107,plain,
% 54.84/35.01 (~v90(constB148, 0)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[24816, 30106, 30101])).
% 54.84/35.01 tff(30108,plain,
% 54.84/35.01 (v100(constB148)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[24824, 30107, 30056])).
% 54.84/35.01 tff(30109,plain,
% 54.84/35.01 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB147)) | v130(constB147, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB147)) | v130(constB147, 2))),
% 54.84/35.01 inference(rewrite,[status(thm)],[])).
% 54.84/35.01 tff(30110,plain,
% 54.84/35.01 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB147)) | v130(constB147, 2))),
% 54.84/35.01 inference(quant_inst,[status(thm)],[])).
% 54.84/35.01 tff(30111,plain,
% 54.84/35.01 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB147)) | v130(constB147, 2)),
% 54.84/35.01 inference(modus_ponens,[status(thm)],[30110, 30109])).
% 54.84/35.01 tff(30112,plain,
% 54.84/35.01 (v130(constB147, 2)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[30111, 2741, 30100])).
% 54.84/35.01 tff(30113,plain,
% 54.84/35.01 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB147) | (~v130(constB147, 2)) | v127(constB147, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB147) | (~v130(constB147, 2)) | v127(constB147, 2))),
% 54.84/35.01 inference(rewrite,[status(thm)],[])).
% 54.84/35.01 tff(30114,plain,
% 54.84/35.01 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB147) | (~v130(constB147, 2)) | v127(constB147, 2))),
% 54.84/35.01 inference(quant_inst,[status(thm)],[])).
% 54.84/35.01 tff(30115,plain,
% 54.84/35.01 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB147) | (~v130(constB147, 2)) | v127(constB147, 2)),
% 54.84/35.01 inference(modus_ponens,[status(thm)],[30114, 30113])).
% 54.84/35.01 tff(30116,plain,
% 54.84/35.01 ((~v130(constB147, 2)) | v127(constB147, 2)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[30115, 1981, 24743])).
% 54.84/35.01 tff(30117,plain,
% 54.84/35.01 (v127(constB147, 2)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[30116, 30112])).
% 54.84/35.01 tff(30118,plain,
% 54.84/35.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB147, constB148)) | (~v127(constB147, 2)) | v129(constB148, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB147, constB148)) | (~v127(constB147, 2)) | v129(constB148, 2))),
% 54.84/35.01 inference(rewrite,[status(thm)],[])).
% 54.84/35.01 tff(30119,plain,
% 54.84/35.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB147, constB148)) | (~v127(constB147, 2)) | v129(constB148, 2))),
% 54.84/35.01 inference(quant_inst,[status(thm)],[])).
% 54.84/35.01 tff(30120,plain,
% 54.84/35.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB147, constB148)) | (~v127(constB147, 2)) | v129(constB148, 2)),
% 54.84/35.01 inference(modus_ponens,[status(thm)],[30119, 30118])).
% 54.84/35.01 tff(30121,plain,
% 54.84/35.01 ((~v127(constB147, 2)) | v129(constB148, 2)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[30120, 1999, 24762])).
% 54.84/35.01 tff(30122,plain,
% 54.84/35.01 (v129(constB148, 2)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[30121, 30117])).
% 54.84/35.01 tff(30123,plain,
% 54.84/35.01 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB148, 2) | (~v129(constB148, 2)) | (~v100(constB148)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB148, 2) | (~v129(constB148, 2)) | (~v100(constB148)))),
% 54.84/35.01 inference(rewrite,[status(thm)],[])).
% 54.84/35.01 tff(30124,plain,
% 54.84/35.01 ((v90(constB148, 2) | (~v100(constB148)) | (~v129(constB148, 2))) <=> (v90(constB148, 2) | (~v129(constB148, 2)) | (~v100(constB148)))),
% 54.84/35.01 inference(rewrite,[status(thm)],[])).
% 54.84/35.01 tff(30125,plain,
% 54.84/35.01 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB148, 2) | (~v100(constB148)) | (~v129(constB148, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB148, 2) | (~v129(constB148, 2)) | (~v100(constB148))))),
% 54.84/35.01 inference(monotonicity,[status(thm)],[30124])).
% 54.84/35.01 tff(30126,plain,
% 54.84/35.01 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB148, 2) | (~v100(constB148)) | (~v129(constB148, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB148, 2) | (~v129(constB148, 2)) | (~v100(constB148)))),
% 54.84/35.01 inference(transitivity,[status(thm)],[30125, 30123])).
% 54.84/35.01 tff(30127,plain,
% 54.84/35.01 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB148, 2) | (~v100(constB148)) | (~v129(constB148, 2)))),
% 54.84/35.01 inference(quant_inst,[status(thm)],[])).
% 54.84/35.01 tff(30128,plain,
% 54.84/35.01 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB148, 2) | (~v129(constB148, 2)) | (~v100(constB148))),
% 54.84/35.01 inference(modus_ponens,[status(thm)],[30127, 30126])).
% 54.84/35.01 tff(30129,plain,
% 54.84/35.01 (v90(constB148, 2) | (~v100(constB148))),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[30128, 2324, 30122])).
% 54.84/35.01 tff(30130,plain,
% 54.84/35.01 (v90(constB148, 2)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[30129, 30108])).
% 54.84/35.01 tff(30131,plain,
% 54.84/35.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB148, 2)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB148, 2)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, 2))),
% 54.84/35.01 inference(rewrite,[status(thm)],[])).
% 54.84/35.01 tff(30132,plain,
% 54.84/35.01 (((~nextState(constB148, constB149)) | (~v90(constB148, 2)) | v100(constB149) | v90(constB149, 2)) <=> ((~v90(constB148, 2)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, 2))),
% 54.84/35.01 inference(rewrite,[status(thm)],[])).
% 54.84/35.01 tff(30133,plain,
% 54.84/35.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB148, constB149)) | (~v90(constB148, 2)) | v100(constB149) | v90(constB149, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB148, 2)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, 2)))),
% 54.84/35.01 inference(monotonicity,[status(thm)],[30132])).
% 54.84/35.01 tff(30134,plain,
% 54.84/35.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB148, constB149)) | (~v90(constB148, 2)) | v100(constB149) | v90(constB149, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB148, 2)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, 2))),
% 54.84/35.01 inference(transitivity,[status(thm)],[30133, 30131])).
% 54.84/35.01 tff(30135,plain,
% 54.84/35.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB148, constB149)) | (~v90(constB148, 2)) | v100(constB149) | v90(constB149, 2))),
% 54.84/35.01 inference(quant_inst,[status(thm)],[])).
% 54.84/35.01 tff(30136,plain,
% 54.84/35.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB148, 2)) | (~nextState(constB148, constB149)) | v100(constB149) | v90(constB149, 2)),
% 54.84/35.01 inference(modus_ponens,[status(thm)],[30135, 30134])).
% 54.84/35.01 tff(30137,plain,
% 54.84/35.01 ((~v90(constB148, 2)) | v100(constB149) | v90(constB149, 2)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[30136, 2174, 24853])).
% 54.84/35.01 tff(30138,plain,
% 54.84/35.01 ((~v90(constB148, 2)) | v90(constB149, 2)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[30137, 24865])).
% 54.84/35.01 tff(30139,plain,
% 54.84/35.01 (v90(constB149, 2)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[30138, 30130])).
% 54.84/35.01 tff(30140,plain,
% 54.84/35.01 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB147)) | v130(constB147, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB147)) | v130(constB147, 1))),
% 54.84/35.01 inference(rewrite,[status(thm)],[])).
% 54.84/35.01 tff(30141,plain,
% 54.84/35.01 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB147)) | v130(constB147, 1))),
% 54.84/35.01 inference(quant_inst,[status(thm)],[])).
% 54.84/35.01 tff(30142,plain,
% 54.84/35.01 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB147)) | v130(constB147, 1)),
% 54.84/35.01 inference(modus_ponens,[status(thm)],[30141, 30140])).
% 54.84/35.01 tff(30143,plain,
% 54.84/35.01 (v130(constB147, 1)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[30142, 2808, 30100])).
% 54.84/35.01 tff(30144,plain,
% 54.84/35.01 (v127(constB147, 1)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[24906, 30143])).
% 54.84/35.01 tff(30145,plain,
% 54.84/35.01 (v129(constB148, 1)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[24911, 30144])).
% 54.84/35.01 tff(30146,plain,
% 54.84/35.01 (v90(constB148, 1) | (~v100(constB148))),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[24918, 1623, 30145])).
% 54.84/35.01 tff(30147,plain,
% 54.84/35.01 (v90(constB148, 1)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[30146, 30108])).
% 54.84/35.01 tff(30148,plain,
% 54.84/35.01 (v90(constB149, 1)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[24928, 30147])).
% 54.84/35.01 tff(30149,plain,
% 54.84/35.01 (~v90(constB149, 0)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[24893, 30107])).
% 54.84/35.01 tff(30150,plain,
% 54.84/35.01 (v125(constB149)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[26019, 2279, 30149, 30148, 30139])).
% 54.84/35.01 tff(30151,plain,
% 54.84/35.01 (v113(constB149)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[26015, 2262, 30150])).
% 54.84/35.01 tff(30152,plain,
% 54.84/35.01 (v112(constB149)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[25785, 30151])).
% 54.84/35.01 tff(30153,plain,
% 54.84/35.01 (v108(constB149)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[25777, 1075, 30152])).
% 54.84/35.01 tff(30154,plain,
% 54.84/35.01 (v110(constB150)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[25770, 30153])).
% 54.84/35.01 tff(30155,plain,
% 54.84/35.01 (v100(constB150)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[25762, 30154])).
% 54.84/35.01 tff(30156,plain,
% 54.84/35.01 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB149)) | (~v90(constB149, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB149)) | (~v90(constB149, 2)))),
% 54.84/35.01 inference(rewrite,[status(thm)],[])).
% 54.84/35.01 tff(30157,plain,
% 54.84/35.01 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB149)) | (~v90(constB149, 2)))),
% 54.84/35.01 inference(quant_inst,[status(thm)],[])).
% 54.84/35.01 tff(30158,plain,
% 54.84/35.01 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB149)) | (~v90(constB149, 2))),
% 54.84/35.01 inference(modus_ponens,[status(thm)],[30157, 30156])).
% 54.84/35.01 tff(30159,plain,
% 54.84/35.01 (~v121(constB149)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[30158, 2857, 30139])).
% 54.84/35.01 tff(30160,plain,
% 54.84/35.01 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB149)) | (~v90(constB149, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB149)) | (~v90(constB149, 2)))),
% 54.84/35.01 inference(rewrite,[status(thm)],[])).
% 54.84/35.01 tff(30161,plain,
% 54.84/35.01 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB149)) | (~v90(constB149, 2)))),
% 54.84/35.01 inference(quant_inst,[status(thm)],[])).
% 54.84/35.01 tff(30162,plain,
% 54.84/35.01 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB149)) | (~v90(constB149, 2))),
% 54.84/35.01 inference(modus_ponens,[status(thm)],[30161, 30160])).
% 54.84/35.01 tff(30163,plain,
% 54.84/35.01 (~v122(constB149)),
% 54.84/35.01 inference(unit_resolution,[status(thm)],[30162, 2797, 30139])).
% 54.84/35.01 tff(30164,plain,
% 54.84/35.01 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB149)) | (~v90(constB149, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB149)) | (~v90(constB149, 1)))),
% 54.84/35.01 inference(rewrite,[status(thm)],[])).
% 54.84/35.01 tff(30165,plain,
% 54.84/35.01 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB149)) | (~v90(constB149, 1)))),
% 54.84/35.01 inference(quant_inst,[status(thm)],[])).
% 54.84/35.01 tff(30166,plain,
% 54.84/35.01 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB149)) | (~v90(constB149, 1))),
% 54.84/35.01 inference(modus_ponens,[status(thm)],[30165, 30164])).
% 54.84/35.02 tff(30167,plain,
% 54.84/35.02 (~v119(constB149)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30166, 2868, 30148])).
% 54.84/35.02 tff(30168,plain,
% 54.84/35.02 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB149)) | (~v90(constB149, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB149)) | (~v90(constB149, 1)))),
% 54.84/35.02 inference(rewrite,[status(thm)],[])).
% 54.84/35.02 tff(30169,plain,
% 54.84/35.02 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB149)) | (~v90(constB149, 1)))),
% 54.84/35.02 inference(quant_inst,[status(thm)],[])).
% 54.84/35.02 tff(30170,plain,
% 54.84/35.02 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB149)) | (~v90(constB149, 1))),
% 54.84/35.02 inference(modus_ponens,[status(thm)],[30169, 30168])).
% 54.84/35.02 tff(30171,plain,
% 54.84/35.02 (~v123(constB149)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30170, 2879, 30148])).
% 54.84/35.02 tff(30172,plain,
% 54.84/35.02 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB149)) | (~v90(constB149, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB149)) | (~v90(constB149, 1)))),
% 54.84/35.02 inference(rewrite,[status(thm)],[])).
% 54.84/35.02 tff(30173,plain,
% 54.84/35.02 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB149)) | (~v90(constB149, 1)))),
% 54.84/35.02 inference(quant_inst,[status(thm)],[])).
% 54.84/35.02 tff(30174,plain,
% 54.84/35.02 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB149)) | (~v90(constB149, 1))),
% 54.84/35.02 inference(modus_ponens,[status(thm)],[30173, 30172])).
% 54.84/35.02 tff(30175,plain,
% 54.84/35.02 (~v124(constB149)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30174, 2890, 30148])).
% 54.84/35.02 tff(30176,plain,
% 54.84/35.02 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB149)) | (~v90(constB149, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB149)) | (~v90(constB149, 1)))),
% 54.84/35.02 inference(rewrite,[status(thm)],[])).
% 54.84/35.02 tff(30177,plain,
% 54.84/35.02 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB149)) | (~v90(constB149, 1)))),
% 54.84/35.02 inference(quant_inst,[status(thm)],[])).
% 54.84/35.02 tff(30178,plain,
% 54.84/35.02 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB149)) | (~v90(constB149, 1))),
% 54.84/35.02 inference(modus_ponens,[status(thm)],[30177, 30176])).
% 54.84/35.02 tff(30179,plain,
% 54.84/35.02 (~v120(constB149)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30178, 2846, 30148])).
% 54.84/35.02 tff(30180,plain,
% 54.84/35.02 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB149) | v120(constB149) | v121(constB149) | v122(constB149) | v123(constB149) | v124(constB149) | (~v130(constB149, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB149) | v120(constB149) | v121(constB149) | v122(constB149) | v123(constB149) | v124(constB149) | (~v130(constB149, 2)))),
% 54.84/35.02 inference(rewrite,[status(thm)],[])).
% 54.84/35.02 tff(30181,plain,
% 54.84/35.02 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB149) | v120(constB149) | v121(constB149) | v122(constB149) | v123(constB149) | v124(constB149) | (~v130(constB149, 2)))),
% 54.84/35.02 inference(quant_inst,[status(thm)],[])).
% 54.84/35.02 tff(30182,plain,
% 54.84/35.02 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB149) | v120(constB149) | v121(constB149) | v122(constB149) | v123(constB149) | v124(constB149) | (~v130(constB149, 2))),
% 54.84/35.02 inference(modus_ponens,[status(thm)],[30181, 30180])).
% 54.84/35.02 tff(30183,plain,
% 54.84/35.02 (~v130(constB149, 2)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30182, 2904, 30179, 30175, 30171, 30167, 30163, 30159])).
% 54.84/35.02 tff(30184,plain,
% 54.84/35.02 (~v127(constB149, 2)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[25674, 30183])).
% 54.84/35.02 tff(30185,plain,
% 54.84/35.02 (~v129(constB150, 2)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[25679, 30184])).
% 54.84/35.02 tff(30186,plain,
% 54.84/35.02 ((~v90(constB150, 2)) | (~v100(constB150))),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[25964, 1223, 30185])).
% 54.84/35.02 tff(30187,plain,
% 54.84/35.02 (~v90(constB150, 2)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30186, 30155])).
% 54.84/35.02 tff(30188,plain,
% 54.84/35.02 (~v90(constB151, 2)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[28691, 30187])).
% 54.84/35.02 tff(30189,plain,
% 54.84/35.02 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB149) | v120(constB149) | v121(constB149) | v122(constB149) | v123(constB149) | v124(constB149) | (~v130(constB149, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB149) | v120(constB149) | v121(constB149) | v122(constB149) | v123(constB149) | v124(constB149) | (~v130(constB149, 1)))),
% 54.84/35.02 inference(rewrite,[status(thm)],[])).
% 54.84/35.02 tff(30190,plain,
% 54.84/35.02 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB149) | v120(constB149) | v121(constB149) | v122(constB149) | v123(constB149) | v124(constB149) | (~v130(constB149, 1)))),
% 54.84/35.02 inference(quant_inst,[status(thm)],[])).
% 54.84/35.02 tff(30191,plain,
% 54.84/35.02 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB149) | v120(constB149) | v121(constB149) | v122(constB149) | v123(constB149) | v124(constB149) | (~v130(constB149, 1))),
% 54.84/35.02 inference(modus_ponens,[status(thm)],[30190, 30189])).
% 54.84/35.02 tff(30192,plain,
% 54.84/35.02 (~v130(constB149, 1)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30191, 3309, 30179, 30175, 30171, 30167, 30163, 30159])).
% 54.84/35.02 tff(30193,plain,
% 54.84/35.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB149, 1)) | v26(constB149) | v130(constB149, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB149, 1)) | v26(constB149) | v130(constB149, 1))),
% 54.84/35.02 inference(rewrite,[status(thm)],[])).
% 54.84/35.02 tff(30194,plain,
% 54.84/35.02 ((v26(constB149) | v130(constB149, 1) | (~v127(constB149, 1))) <=> ((~v127(constB149, 1)) | v26(constB149) | v130(constB149, 1))),
% 54.84/35.02 inference(rewrite,[status(thm)],[])).
% 54.84/35.02 tff(30195,plain,
% 54.84/35.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB149) | v130(constB149, 1) | (~v127(constB149, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB149, 1)) | v26(constB149) | v130(constB149, 1)))),
% 54.84/35.02 inference(monotonicity,[status(thm)],[30194])).
% 54.84/35.02 tff(30196,plain,
% 54.84/35.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB149) | v130(constB149, 1) | (~v127(constB149, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB149, 1)) | v26(constB149) | v130(constB149, 1))),
% 54.84/35.02 inference(transitivity,[status(thm)],[30195, 30193])).
% 54.84/35.02 tff(30197,plain,
% 54.84/35.02 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB149) | v130(constB149, 1) | (~v127(constB149, 1)))),
% 54.84/35.02 inference(quant_inst,[status(thm)],[])).
% 54.84/35.02 tff(30198,plain,
% 54.84/35.02 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB149, 1)) | v26(constB149) | v130(constB149, 1)),
% 54.84/35.02 inference(modus_ponens,[status(thm)],[30197, 30196])).
% 54.84/35.02 tff(30199,plain,
% 54.84/35.02 ((~v127(constB149, 1)) | v130(constB149, 1)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30198, 1276, 25667])).
% 54.84/35.02 tff(30200,plain,
% 54.84/35.02 (~v127(constB149, 1)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30199, 30192])).
% 54.84/35.02 tff(30201,plain,
% 54.84/35.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB149, constB150)) | v127(constB149, 1) | (~v129(constB150, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB149, constB150)) | v127(constB149, 1) | (~v129(constB150, 1)))),
% 54.84/35.02 inference(rewrite,[status(thm)],[])).
% 54.84/35.02 tff(30202,plain,
% 54.84/35.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB149, constB150)) | v127(constB149, 1) | (~v129(constB150, 1)))),
% 54.84/35.02 inference(quant_inst,[status(thm)],[])).
% 54.84/35.02 tff(30203,plain,
% 54.84/35.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB149, constB150)) | v127(constB149, 1) | (~v129(constB150, 1))),
% 54.84/35.02 inference(modus_ponens,[status(thm)],[30202, 30201])).
% 54.84/35.02 tff(30204,plain,
% 54.84/35.02 (v127(constB149, 1) | (~v129(constB150, 1))),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30203, 1294, 25076])).
% 54.84/35.02 tff(30205,plain,
% 54.84/35.02 (~v129(constB150, 1)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30204, 30200])).
% 54.84/35.02 tff(30206,plain,
% 54.84/35.02 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB150, 1)) | v129(constB150, 1) | (~v100(constB150)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB150, 1)) | v129(constB150, 1) | (~v100(constB150)))),
% 54.84/35.02 inference(rewrite,[status(thm)],[])).
% 54.84/35.02 tff(30207,plain,
% 54.84/35.02 (((~v90(constB150, 1)) | (~v100(constB150)) | v129(constB150, 1)) <=> ((~v90(constB150, 1)) | v129(constB150, 1) | (~v100(constB150)))),
% 54.84/35.02 inference(rewrite,[status(thm)],[])).
% 54.84/35.02 tff(30208,plain,
% 54.84/35.02 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB150, 1)) | (~v100(constB150)) | v129(constB150, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB150, 1)) | v129(constB150, 1) | (~v100(constB150))))),
% 54.84/35.02 inference(monotonicity,[status(thm)],[30207])).
% 54.84/35.02 tff(30209,plain,
% 54.84/35.02 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB150, 1)) | (~v100(constB150)) | v129(constB150, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB150, 1)) | v129(constB150, 1) | (~v100(constB150)))),
% 54.84/35.02 inference(transitivity,[status(thm)],[30208, 30206])).
% 54.84/35.02 tff(30210,plain,
% 54.84/35.02 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB150, 1)) | (~v100(constB150)) | v129(constB150, 1))),
% 54.84/35.02 inference(quant_inst,[status(thm)],[])).
% 54.84/35.02 tff(30211,plain,
% 54.84/35.02 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB150, 1)) | v129(constB150, 1) | (~v100(constB150))),
% 54.84/35.02 inference(modus_ponens,[status(thm)],[30210, 30209])).
% 54.84/35.02 tff(30212,plain,
% 54.84/35.02 ((~v90(constB150, 1)) | (~v100(constB150))),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30211, 1309, 30205])).
% 54.84/35.02 tff(30213,plain,
% 54.84/35.02 (~v90(constB150, 1)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30212, 30155])).
% 54.84/35.02 tff(30214,plain,
% 54.84/35.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB150, 1) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB150, 1) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, 1)))),
% 54.84/35.02 inference(rewrite,[status(thm)],[])).
% 54.84/35.02 tff(30215,plain,
% 54.84/35.02 (((~nextState(constB150, constB151)) | v90(constB150, 1) | v100(constB151) | (~v90(constB151, 1))) <=> (v90(constB150, 1) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, 1)))),
% 54.84/35.02 inference(rewrite,[status(thm)],[])).
% 54.84/35.02 tff(30216,plain,
% 54.84/35.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB150, constB151)) | v90(constB150, 1) | v100(constB151) | (~v90(constB151, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB150, 1) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, 1))))),
% 54.84/35.02 inference(monotonicity,[status(thm)],[30215])).
% 54.84/35.02 tff(30217,plain,
% 54.84/35.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB150, constB151)) | v90(constB150, 1) | v100(constB151) | (~v90(constB151, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB150, 1) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, 1)))),
% 54.84/35.02 inference(transitivity,[status(thm)],[30216, 30214])).
% 54.84/35.02 tff(30218,plain,
% 54.84/35.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB150, constB151)) | v90(constB150, 1) | v100(constB151) | (~v90(constB151, 1)))),
% 54.84/35.02 inference(quant_inst,[status(thm)],[])).
% 54.84/35.02 tff(30219,plain,
% 54.84/35.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB150, 1) | (~nextState(constB150, constB151)) | v100(constB151) | (~v90(constB151, 1))),
% 54.84/35.02 inference(modus_ponens,[status(thm)],[30218, 30217])).
% 54.84/35.02 tff(30220,plain,
% 54.84/35.02 (v90(constB150, 1) | v100(constB151) | (~v90(constB151, 1))),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30219, 926, 25131])).
% 54.84/35.02 tff(30221,plain,
% 54.84/35.02 (v90(constB150, 1) | (~v90(constB151, 1))),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30220, 28683])).
% 54.84/35.02 tff(30222,plain,
% 54.84/35.02 (~v90(constB151, 1)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30221, 30213])).
% 54.84/35.02 tff(30223,plain,
% 54.84/35.02 (v130(constB149, 0)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[25905, 3413, 30179, 30175, 30171, 30167, 30163, 30159])).
% 54.84/35.02 tff(30224,plain,
% 54.84/35.02 (v127(constB149, 0)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[28712, 30223])).
% 54.84/35.02 tff(30225,plain,
% 54.84/35.02 (v129(constB150, 0)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[25821, 30224])).
% 54.84/35.02 tff(30226,plain,
% 54.84/35.02 (v90(constB150, 0) | (~v100(constB150))),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[25815, 1377, 30225])).
% 54.84/35.02 tff(30227,plain,
% 54.84/35.02 (v90(constB150, 0)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30226, 30155])).
% 54.84/35.02 tff(30228,plain,
% 54.84/35.02 (v90(constB151, 0)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[28724, 30227])).
% 54.84/35.02 tff(30229,plain,
% 54.84/35.02 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB151, 0)) | v90(constB151, 1) | v90(constB151, 2) | v120(constB151))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB151, 0)) | v90(constB151, 1) | v90(constB151, 2) | v120(constB151))),
% 54.84/35.02 inference(rewrite,[status(thm)],[])).
% 54.84/35.02 tff(30230,plain,
% 54.84/35.02 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB151, 0)) | v90(constB151, 1) | v90(constB151, 2) | v120(constB151))),
% 54.84/35.02 inference(quant_inst,[status(thm)],[])).
% 54.84/35.02 tff(30231,plain,
% 54.84/35.02 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB151, 0)) | v90(constB151, 1) | v90(constB151, 2) | v120(constB151)),
% 54.84/35.02 inference(modus_ponens,[status(thm)],[30230, 30229])).
% 54.84/35.02 tff(30232,plain,
% 54.84/35.02 (v120(constB151)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30231, 1414, 30228, 30222, 30188])).
% 54.84/35.02 tff(30233,plain,
% 54.84/35.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB151, 1) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB151, 1) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, 1)))),
% 54.84/35.02 inference(rewrite,[status(thm)],[])).
% 54.84/35.02 tff(30234,plain,
% 54.84/35.02 (((~nextState(constB151, constB152)) | v90(constB151, 1) | v100(constB152) | (~v90(constB152, 1))) <=> (v90(constB151, 1) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, 1)))),
% 54.84/35.02 inference(rewrite,[status(thm)],[])).
% 54.84/35.02 tff(30235,plain,
% 54.84/35.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB151, constB152)) | v90(constB151, 1) | v100(constB152) | (~v90(constB152, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB151, 1) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, 1))))),
% 54.84/35.02 inference(monotonicity,[status(thm)],[30234])).
% 54.84/35.02 tff(30236,plain,
% 54.84/35.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB151, constB152)) | v90(constB151, 1) | v100(constB152) | (~v90(constB152, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB151, 1) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, 1)))),
% 54.84/35.02 inference(transitivity,[status(thm)],[30235, 30233])).
% 54.84/35.02 tff(30237,plain,
% 54.84/35.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB151, constB152)) | v90(constB151, 1) | v100(constB152) | (~v90(constB152, 1)))),
% 54.84/35.02 inference(quant_inst,[status(thm)],[])).
% 54.84/35.02 tff(30238,plain,
% 54.84/35.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB151, 1) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, 1))),
% 54.84/35.02 inference(modus_ponens,[status(thm)],[30237, 30236])).
% 54.84/35.02 tff(30239,plain,
% 54.84/35.02 (v90(constB151, 1) | v100(constB152) | (~v90(constB152, 1))),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30238, 926, 28770])).
% 54.84/35.02 tff(30240,plain,
% 54.84/35.02 (v100(constB152)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30239, 30222, 29993])).
% 54.84/35.02 tff(30241,plain,
% 54.84/35.02 (v129(constB152, 0)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[29980, 30240])).
% 54.84/35.02 tff(30242,plain,
% 54.84/35.02 (v127(constB151, 0)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[28900, 30241])).
% 54.84/35.02 tff(30243,plain,
% 54.84/35.02 (v130(constB151, 0)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[28895, 30242])).
% 54.84/35.02 tff(30244,plain,
% 54.84/35.02 ($false),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[29986, 1657, 30243, 30232])).
% 54.84/35.02 tff(30245,plain,((~v123(constB145)) | (~v90(constB152, 0)) | (~v90(constB152, 1))), inference(lemma,lemma(discharge,[]))).
% 54.84/35.02 tff(30246,plain,
% 54.84/35.02 (~v123(constB145)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30245, 29914, 29942])).
% 54.84/35.02 tff(30247,plain,
% 54.84/35.02 (v100(constB150)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[28665, 30246, 26097])).
% 54.84/35.02 tff(30248,plain,
% 54.84/35.02 ((~v90(constB150, 0)) | v129(constB150, 0)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[25929, 1704, 30247])).
% 54.84/35.02 tff(30249,plain,
% 54.84/35.02 (v129(constB150, 0)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30248, 30024])).
% 54.84/35.02 tff(30250,plain,
% 54.84/35.02 (v127(constB149, 0)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[25922, 30249])).
% 54.84/35.02 tff(30251,plain,
% 54.84/35.02 (v130(constB149, 0)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[26051, 30250])).
% 54.84/35.02 tff(30252,plain,
% 54.84/35.02 (~v124(constB149)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[26079, 3274, 30251])).
% 54.84/35.02 tff(30253,plain,
% 54.84/35.02 (v90(constB151, 1)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30239, 30007, 29942])).
% 54.84/35.02 tff(30254,plain,
% 54.84/35.02 (v90(constB150, 1)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30221, 30253])).
% 54.84/35.02 tff(30255,plain,
% 54.84/35.02 ((~v90(constB150, 1)) | v129(constB150, 1)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30211, 1309, 30247])).
% 54.84/35.02 tff(30256,plain,
% 54.84/35.02 (v129(constB150, 1)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30255, 30254])).
% 54.84/35.02 tff(30257,plain,
% 54.84/35.02 (v127(constB149, 1)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30204, 30256])).
% 54.84/35.02 tff(30258,plain,
% 54.84/35.02 (v130(constB149, 1)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30199, 30257])).
% 54.84/35.02 tff(30259,plain,
% 54.84/35.02 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB149)) | (~v130(constB149, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB149)) | (~v130(constB149, 1)))),
% 54.84/35.02 inference(rewrite,[status(thm)],[])).
% 54.84/35.02 tff(30260,plain,
% 54.84/35.02 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB149)) | (~v130(constB149, 1)))),
% 54.84/35.02 inference(quant_inst,[status(thm)],[])).
% 54.84/35.02 tff(30261,plain,
% 54.84/35.02 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB149)) | (~v130(constB149, 1))),
% 54.84/35.02 inference(modus_ponens,[status(thm)],[30260, 30259])).
% 54.84/35.02 tff(30262,plain,
% 54.84/35.02 (~v123(constB149)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30261, 2581, 30258])).
% 54.84/35.02 tff(30263,plain,
% 54.84/35.02 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB149)) | (~v130(constB149, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB149)) | (~v130(constB149, 1)))),
% 54.84/35.02 inference(rewrite,[status(thm)],[])).
% 54.84/35.02 tff(30264,plain,
% 54.84/35.02 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB149)) | (~v130(constB149, 1)))),
% 54.84/35.02 inference(quant_inst,[status(thm)],[])).
% 54.84/35.02 tff(30265,plain,
% 54.84/35.02 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB149)) | (~v130(constB149, 1))),
% 54.84/35.02 inference(modus_ponens,[status(thm)],[30264, 30263])).
% 54.84/35.02 tff(30266,plain,
% 54.84/35.02 (~v119(constB149)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30265, 1262, 30258])).
% 54.84/35.02 tff(30267,plain,
% 54.84/35.02 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB149)) | (~v130(constB149, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB149)) | (~v130(constB149, 1)))),
% 54.84/35.02 inference(rewrite,[status(thm)],[])).
% 54.84/35.02 tff(30268,plain,
% 54.84/35.02 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB149)) | (~v130(constB149, 1)))),
% 54.84/35.02 inference(quant_inst,[status(thm)],[])).
% 54.84/35.02 tff(30269,plain,
% 54.84/35.02 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB149)) | (~v130(constB149, 1))),
% 54.84/35.02 inference(modus_ponens,[status(thm)],[30268, 30267])).
% 54.84/35.02 tff(30270,plain,
% 54.84/35.02 (~v122(constB149)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30269, 2366, 30258])).
% 54.84/35.02 tff(30271,plain,
% 54.84/35.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB151, 2) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB151, 2) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, 2)))),
% 54.84/35.02 inference(rewrite,[status(thm)],[])).
% 54.84/35.02 tff(30272,plain,
% 54.84/35.02 (((~nextState(constB151, constB152)) | v90(constB151, 2) | v100(constB152) | (~v90(constB152, 2))) <=> (v90(constB151, 2) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, 2)))),
% 54.84/35.02 inference(rewrite,[status(thm)],[])).
% 54.84/35.02 tff(30273,plain,
% 54.84/35.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB151, constB152)) | v90(constB151, 2) | v100(constB152) | (~v90(constB152, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB151, 2) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, 2))))),
% 54.84/35.02 inference(monotonicity,[status(thm)],[30272])).
% 54.84/35.02 tff(30274,plain,
% 54.84/35.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB151, constB152)) | v90(constB151, 2) | v100(constB152) | (~v90(constB152, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB151, 2) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, 2)))),
% 54.84/35.02 inference(transitivity,[status(thm)],[30273, 30271])).
% 54.84/35.02 tff(30275,plain,
% 54.84/35.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB151, constB152)) | v90(constB151, 2) | v100(constB152) | (~v90(constB152, 2)))),
% 54.84/35.02 inference(quant_inst,[status(thm)],[])).
% 54.84/35.02 tff(30276,plain,
% 54.84/35.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB151, 2) | (~nextState(constB151, constB152)) | v100(constB152) | (~v90(constB152, 2))),
% 54.84/35.02 inference(modus_ponens,[status(thm)],[30275, 30274])).
% 54.84/35.02 tff(30277,plain,
% 54.84/35.02 (v90(constB151, 2) | v100(constB152) | (~v90(constB152, 2))),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30276, 905, 28770])).
% 54.84/35.02 tff(30278,plain,
% 54.84/35.02 (v90(constB151, 2)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30277, 30007, 29932])).
% 54.84/35.02 tff(30279,plain,
% 54.84/35.02 (v90(constB150, 2)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[28691, 30278])).
% 54.84/35.02 tff(30280,plain,
% 54.84/35.02 ((~v90(constB150, 2)) | v129(constB150, 2)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[25964, 1223, 30247])).
% 54.84/35.02 tff(30281,plain,
% 54.84/35.02 (v129(constB150, 2)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30280, 30279])).
% 54.84/35.02 tff(30282,plain,
% 54.84/35.02 (v127(constB149, 2)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[25679, 30281])).
% 54.84/35.02 tff(30283,plain,
% 54.84/35.02 (v130(constB149, 2)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[25674, 30282])).
% 54.84/35.02 tff(30284,plain,
% 54.84/35.02 (~v120(constB149)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[25957, 1523, 30283])).
% 54.84/35.02 tff(30285,assumption,(v121(constB149)), introduced(assumption)).
% 54.84/35.02 tff(30286,plain,
% 54.84/35.02 (v117(constB149)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[25995, 1742, 30285])).
% 54.84/35.02 tff(30287,plain,
% 54.84/35.02 (v116(constB149)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[25739, 1007, 30286])).
% 54.84/35.02 tff(30288,plain,
% 54.84/35.02 (v115(constB149)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[25806, 1021, 30287])).
% 54.84/35.02 tff(30289,plain,
% 54.84/35.02 (v114(constB149)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[25799, 1035, 30288])).
% 54.84/35.02 tff(30290,plain,
% 54.84/35.02 (v113(constB149)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[25792, 1049, 30289])).
% 54.84/35.02 tff(30291,plain,
% 54.84/35.02 (v112(constB149)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[25785, 30290])).
% 54.84/35.02 tff(30292,plain,
% 54.84/35.02 (v108(constB149)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[25777, 1075, 30291])).
% 54.84/35.02 tff(30293,plain,
% 54.84/35.02 (v110(constB150)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[25770, 30292])).
% 54.84/35.02 tff(30294,plain,
% 54.84/35.02 (v100(constB150)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[25762, 30293])).
% 54.84/35.02 tff(30295,plain,
% 54.84/35.02 (~v130(constB149, 2)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[25662, 1821, 30285])).
% 54.84/35.02 tff(30296,plain,
% 54.84/35.02 (~v127(constB149, 2)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[25674, 30295])).
% 54.84/35.02 tff(30297,plain,
% 54.84/35.02 (~v129(constB150, 2)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[25679, 30296])).
% 54.84/35.02 tff(30298,plain,
% 54.84/35.02 ((~v90(constB150, 2)) | (~v100(constB150))),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[25964, 1223, 30297])).
% 54.84/35.02 tff(30299,plain,
% 54.84/35.02 (~v90(constB150, 2)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30298, 30294])).
% 54.84/35.02 tff(30300,plain,
% 54.84/35.02 (~v90(constB151, 2)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[28691, 30299])).
% 54.84/35.02 tff(30301,plain,
% 54.84/35.02 (v130(constB149, 1)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[28695, 1877, 30285])).
% 54.84/35.02 tff(30302,plain,
% 54.84/35.02 (v127(constB149, 1)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[28697, 30301])).
% 54.84/35.02 tff(30303,plain,
% 54.84/35.02 (v129(constB150, 1)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[25944, 30302])).
% 54.84/35.02 tff(30304,plain,
% 54.84/35.02 (v90(constB150, 1) | (~v100(constB150))),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[25952, 1623, 30303])).
% 54.84/35.02 tff(30305,plain,
% 54.84/35.02 (v90(constB150, 1)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30304, 30294])).
% 54.84/35.02 tff(30306,plain,
% 54.84/35.02 (v90(constB151, 1)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[28709, 30305])).
% 54.84/35.02 tff(30307,plain,
% 54.84/35.02 (v130(constB149, 0)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[25863, 1915, 30285])).
% 54.84/35.02 tff(30308,plain,
% 54.84/35.02 (v127(constB149, 0)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[28712, 30307])).
% 54.84/35.02 tff(30309,plain,
% 54.84/35.02 (v129(constB150, 0)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[25821, 30308])).
% 54.84/35.02 tff(30310,plain,
% 54.84/35.02 (v90(constB150, 0) | (~v100(constB150))),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[25815, 1377, 30309])).
% 54.84/35.02 tff(30311,plain,
% 54.84/35.02 (v90(constB150, 0)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30310, 30294])).
% 54.84/35.02 tff(30312,plain,
% 54.84/35.02 (v90(constB151, 0)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[28724, 30311])).
% 54.84/35.02 tff(30313,plain,
% 54.84/35.02 (v122(constB151)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[28728, 1956, 30312, 30306, 30300])).
% 54.84/35.02 tff(30314,plain,
% 54.84/35.02 (v100(constB152)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30277, 30300, 29944])).
% 54.84/35.02 tff(30315,plain,
% 54.84/35.02 (v129(constB152, 0)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[29980, 30314])).
% 54.84/35.02 tff(30316,plain,
% 54.84/35.02 (v127(constB151, 0)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[28900, 30315])).
% 54.84/35.02 tff(30317,plain,
% 54.84/35.02 (v130(constB151, 0)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[28895, 30316])).
% 54.84/35.02 tff(30318,plain,
% 54.84/35.02 ($false),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[28887, 2407, 30317, 30313])).
% 54.84/35.02 tff(30319,plain,((~v121(constB149)) | (~v90(constB152, 0)) | (~v90(constB152, 2))), inference(lemma,lemma(discharge,[]))).
% 54.84/35.02 tff(30320,plain,
% 54.84/35.02 (~v121(constB149)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30319, 29914, 29932])).
% 54.84/35.02 tff(30321,plain,
% 54.84/35.02 (v119(constB149) | v120(constB149) | v122(constB149) | v123(constB149) | v124(constB149) | (~v130(constB149, 1))),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30191, 3309, 30320])).
% 54.84/35.02 tff(30322,plain,
% 54.84/35.02 ($false),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30321, 30284, 30270, 30258, 30266, 30262, 30252])).
% 54.84/35.02 tff(30323,plain,(v100(constB154) | v90(constB127, 2) | (~v90(constB154, 1)) | (~v90(constB154, 2)) | (~v90(constB154, 0))), inference(lemma,lemma(discharge,[]))).
% 54.84/35.02 tff(30324,plain,
% 54.84/35.02 (v100(constB154)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30323, 29903, 26097, 29894, 29893])).
% 54.84/35.02 tff(30325,plain,
% 54.84/35.02 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB154, 0)) | v129(constB154, 0) | (~v100(constB154)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB154, 0)) | v129(constB154, 0) | (~v100(constB154)))),
% 54.84/35.02 inference(rewrite,[status(thm)],[])).
% 54.84/35.02 tff(30326,plain,
% 54.84/35.02 (((~v90(constB154, 0)) | (~v100(constB154)) | v129(constB154, 0)) <=> ((~v90(constB154, 0)) | v129(constB154, 0) | (~v100(constB154)))),
% 54.84/35.02 inference(rewrite,[status(thm)],[])).
% 54.84/35.02 tff(30327,plain,
% 54.84/35.02 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB154, 0)) | (~v100(constB154)) | v129(constB154, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB154, 0)) | v129(constB154, 0) | (~v100(constB154))))),
% 54.84/35.02 inference(monotonicity,[status(thm)],[30326])).
% 54.84/35.02 tff(30328,plain,
% 54.84/35.02 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB154, 0)) | (~v100(constB154)) | v129(constB154, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB154, 0)) | v129(constB154, 0) | (~v100(constB154)))),
% 54.84/35.02 inference(transitivity,[status(thm)],[30327, 30325])).
% 54.84/35.02 tff(30329,plain,
% 54.84/35.02 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB154, 0)) | (~v100(constB154)) | v129(constB154, 0))),
% 54.84/35.02 inference(quant_inst,[status(thm)],[])).
% 54.84/35.02 tff(30330,plain,
% 54.84/35.02 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB154, 0)) | v129(constB154, 0) | (~v100(constB154))),
% 54.84/35.02 inference(modus_ponens,[status(thm)],[30329, 30328])).
% 54.84/35.02 tff(30331,plain,
% 54.84/35.02 (v129(constB154, 0) | (~v100(constB154))),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30330, 1704, 29893])).
% 54.84/35.02 tff(30332,plain,
% 54.84/35.02 (v129(constB154, 0)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30331, 30324])).
% 54.84/35.02 tff(30333,plain,
% 54.84/35.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB153, constB154)) | v127(constB153, 0) | (~v129(constB154, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB153, constB154)) | v127(constB153, 0) | (~v129(constB154, 0)))),
% 54.84/35.02 inference(rewrite,[status(thm)],[])).
% 54.84/35.02 tff(30334,plain,
% 54.84/35.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB153, constB154)) | v127(constB153, 0) | (~v129(constB154, 0)))),
% 54.84/35.02 inference(quant_inst,[status(thm)],[])).
% 54.84/35.02 tff(30335,plain,
% 54.84/35.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB153, constB154)) | v127(constB153, 0) | (~v129(constB154, 0))),
% 54.84/35.02 inference(modus_ponens,[status(thm)],[30334, 30333])).
% 54.84/35.02 tff(30336,plain,
% 54.84/35.02 (v127(constB153, 0) | (~v129(constB154, 0))),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30335, 1689, 28938])).
% 54.84/35.02 tff(30337,plain,
% 54.84/35.02 (v127(constB153, 0)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30336, 30332])).
% 54.84/35.02 tff(30338,plain,
% 54.84/35.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB153, 0)) | v26(constB153) | v130(constB153, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB153, 0)) | v26(constB153) | v130(constB153, 0))),
% 54.84/35.02 inference(rewrite,[status(thm)],[])).
% 54.84/35.02 tff(30339,plain,
% 54.84/35.02 ((v26(constB153) | v130(constB153, 0) | (~v127(constB153, 0))) <=> ((~v127(constB153, 0)) | v26(constB153) | v130(constB153, 0))),
% 54.84/35.02 inference(rewrite,[status(thm)],[])).
% 54.84/35.02 tff(30340,plain,
% 54.84/35.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB153) | v130(constB153, 0) | (~v127(constB153, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB153, 0)) | v26(constB153) | v130(constB153, 0)))),
% 54.84/35.02 inference(monotonicity,[status(thm)],[30339])).
% 54.84/35.02 tff(30341,plain,
% 54.84/35.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB153) | v130(constB153, 0) | (~v127(constB153, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB153, 0)) | v26(constB153) | v130(constB153, 0))),
% 54.84/35.02 inference(transitivity,[status(thm)],[30340, 30338])).
% 54.84/35.02 tff(30342,plain,
% 54.84/35.02 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB153) | v130(constB153, 0) | (~v127(constB153, 0)))),
% 54.84/35.02 inference(quant_inst,[status(thm)],[])).
% 54.84/35.02 tff(30343,plain,
% 54.84/35.02 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB153, 0)) | v26(constB153) | v130(constB153, 0)),
% 54.84/35.02 inference(modus_ponens,[status(thm)],[30342, 30341])).
% 54.84/35.02 tff(30344,plain,
% 54.84/35.02 ((~v127(constB153, 0)) | v130(constB153, 0)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30343, 1671, 28930])).
% 54.84/35.02 tff(30345,plain,
% 54.84/35.02 (v130(constB153, 0)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30344, 30337])).
% 54.84/35.02 tff(30346,plain,
% 54.84/35.02 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB153)) | (~v130(constB153, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB153)) | (~v130(constB153, 0)))),
% 54.84/35.02 inference(rewrite,[status(thm)],[])).
% 54.84/35.02 tff(30347,plain,
% 54.84/35.02 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB153)) | (~v130(constB153, 0)))),
% 54.84/35.02 inference(quant_inst,[status(thm)],[])).
% 54.84/35.02 tff(30348,plain,
% 54.84/35.02 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB153)) | (~v130(constB153, 0))),
% 54.84/35.02 inference(modus_ponens,[status(thm)],[30347, 30346])).
% 54.84/35.02 tff(30349,plain,
% 54.84/35.02 (~v124(constB153)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30348, 3274, 30345])).
% 54.84/35.02 tff(30350,plain,
% 54.84/35.02 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB154, 1)) | v129(constB154, 1) | (~v100(constB154)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB154, 1)) | v129(constB154, 1) | (~v100(constB154)))),
% 54.84/35.02 inference(rewrite,[status(thm)],[])).
% 54.84/35.02 tff(30351,plain,
% 54.84/35.02 (((~v90(constB154, 1)) | (~v100(constB154)) | v129(constB154, 1)) <=> ((~v90(constB154, 1)) | v129(constB154, 1) | (~v100(constB154)))),
% 54.84/35.02 inference(rewrite,[status(thm)],[])).
% 54.84/35.02 tff(30352,plain,
% 54.84/35.02 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB154, 1)) | (~v100(constB154)) | v129(constB154, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB154, 1)) | v129(constB154, 1) | (~v100(constB154))))),
% 54.84/35.02 inference(monotonicity,[status(thm)],[30351])).
% 54.84/35.02 tff(30353,plain,
% 54.84/35.02 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB154, 1)) | (~v100(constB154)) | v129(constB154, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB154, 1)) | v129(constB154, 1) | (~v100(constB154)))),
% 54.84/35.02 inference(transitivity,[status(thm)],[30352, 30350])).
% 54.84/35.02 tff(30354,plain,
% 54.84/35.02 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB154, 1)) | (~v100(constB154)) | v129(constB154, 1))),
% 54.84/35.02 inference(quant_inst,[status(thm)],[])).
% 54.84/35.02 tff(30355,plain,
% 54.84/35.02 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB154, 1)) | v129(constB154, 1) | (~v100(constB154))),
% 54.84/35.02 inference(modus_ponens,[status(thm)],[30354, 30353])).
% 54.84/35.02 tff(30356,plain,
% 54.84/35.02 (v129(constB154, 1) | (~v100(constB154))),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30355, 1309, 29903])).
% 54.84/35.02 tff(30357,plain,
% 54.84/35.02 (v129(constB154, 1)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30356, 30324])).
% 54.84/35.02 tff(30358,plain,
% 54.84/35.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB153, constB154)) | v127(constB153, 1) | (~v129(constB154, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB153, constB154)) | v127(constB153, 1) | (~v129(constB154, 1)))),
% 54.84/35.02 inference(rewrite,[status(thm)],[])).
% 54.84/35.02 tff(30359,plain,
% 54.84/35.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB153, constB154)) | v127(constB153, 1) | (~v129(constB154, 1)))),
% 54.84/35.02 inference(quant_inst,[status(thm)],[])).
% 54.84/35.02 tff(30360,plain,
% 54.84/35.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB153, constB154)) | v127(constB153, 1) | (~v129(constB154, 1))),
% 54.84/35.02 inference(modus_ponens,[status(thm)],[30359, 30358])).
% 54.84/35.02 tff(30361,plain,
% 54.84/35.02 (v127(constB153, 1) | (~v129(constB154, 1))),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30360, 1294, 28938])).
% 54.84/35.02 tff(30362,plain,
% 54.84/35.02 (v127(constB153, 1)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30361, 30357])).
% 54.84/35.02 tff(30363,plain,
% 54.84/35.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB153, 1)) | v26(constB153) | v130(constB153, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB153, 1)) | v26(constB153) | v130(constB153, 1))),
% 54.84/35.02 inference(rewrite,[status(thm)],[])).
% 54.84/35.02 tff(30364,plain,
% 54.84/35.02 ((v26(constB153) | v130(constB153, 1) | (~v127(constB153, 1))) <=> ((~v127(constB153, 1)) | v26(constB153) | v130(constB153, 1))),
% 54.84/35.02 inference(rewrite,[status(thm)],[])).
% 54.84/35.02 tff(30365,plain,
% 54.84/35.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB153) | v130(constB153, 1) | (~v127(constB153, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB153, 1)) | v26(constB153) | v130(constB153, 1)))),
% 54.84/35.02 inference(monotonicity,[status(thm)],[30364])).
% 54.84/35.02 tff(30366,plain,
% 54.84/35.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB153) | v130(constB153, 1) | (~v127(constB153, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB153, 1)) | v26(constB153) | v130(constB153, 1))),
% 54.84/35.02 inference(transitivity,[status(thm)],[30365, 30363])).
% 54.84/35.02 tff(30367,plain,
% 54.84/35.02 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB153) | v130(constB153, 1) | (~v127(constB153, 1)))),
% 54.84/35.02 inference(quant_inst,[status(thm)],[])).
% 54.84/35.02 tff(30368,plain,
% 54.84/35.02 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB153, 1)) | v26(constB153) | v130(constB153, 1)),
% 54.84/35.02 inference(modus_ponens,[status(thm)],[30367, 30366])).
% 54.84/35.02 tff(30369,plain,
% 54.84/35.02 ((~v127(constB153, 1)) | v130(constB153, 1)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30368, 1276, 28930])).
% 54.84/35.02 tff(30370,plain,
% 54.84/35.02 (v130(constB153, 1)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30369, 30362])).
% 54.84/35.02 tff(30371,plain,
% 54.84/35.02 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB153)) | (~v130(constB153, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB153)) | (~v130(constB153, 1)))),
% 54.84/35.02 inference(rewrite,[status(thm)],[])).
% 54.84/35.02 tff(30372,plain,
% 54.84/35.02 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB153)) | (~v130(constB153, 1)))),
% 54.84/35.02 inference(quant_inst,[status(thm)],[])).
% 54.84/35.02 tff(30373,plain,
% 54.84/35.02 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB153)) | (~v130(constB153, 1))),
% 54.84/35.02 inference(modus_ponens,[status(thm)],[30372, 30371])).
% 54.84/35.02 tff(30374,plain,
% 54.84/35.02 (~v123(constB153)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30373, 2581, 30370])).
% 54.84/35.02 tff(30375,plain,
% 54.84/35.02 (v129(constB154, 2) | (~v100(constB154))),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[29509, 1223, 29894])).
% 54.84/35.02 tff(30376,plain,
% 54.84/35.02 (v129(constB154, 2)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30375, 30324])).
% 54.84/35.02 tff(30377,plain,
% 54.84/35.02 (v127(constB153, 2)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[29505, 30376])).
% 54.84/35.02 tff(30378,plain,
% 54.84/35.02 (v130(constB153, 2)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[29500, 30377])).
% 54.84/35.02 tff(30379,plain,
% 54.84/35.02 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB153)) | (~v130(constB153, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB153)) | (~v130(constB153, 2)))),
% 54.84/35.02 inference(rewrite,[status(thm)],[])).
% 54.84/35.02 tff(30380,plain,
% 54.84/35.02 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB153)) | (~v130(constB153, 2)))),
% 54.84/35.02 inference(quant_inst,[status(thm)],[])).
% 54.84/35.02 tff(30381,plain,
% 54.84/35.02 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB153)) | (~v130(constB153, 2))),
% 54.84/35.02 inference(modus_ponens,[status(thm)],[30380, 30379])).
% 54.84/35.02 tff(30382,plain,
% 54.84/35.02 (~v120(constB153)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30381, 1523, 30378])).
% 54.84/35.02 tff(30383,plain,
% 54.84/35.02 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB153)) | (~v130(constB153, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB153)) | (~v130(constB153, 2)))),
% 54.84/35.02 inference(rewrite,[status(thm)],[])).
% 54.84/35.02 tff(30384,plain,
% 54.84/35.02 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB153)) | (~v130(constB153, 2)))),
% 54.84/35.02 inference(quant_inst,[status(thm)],[])).
% 54.84/35.02 tff(30385,plain,
% 54.84/35.02 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB153)) | (~v130(constB153, 2))),
% 54.84/35.02 inference(modus_ponens,[status(thm)],[30384, 30383])).
% 54.84/35.02 tff(30386,plain,
% 54.84/35.02 (~v119(constB153)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30385, 1176, 30378])).
% 54.84/35.02 tff(30387,plain,
% 54.84/35.02 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB153)) | (~v130(constB153, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB153)) | (~v130(constB153, 0)))),
% 54.84/35.02 inference(rewrite,[status(thm)],[])).
% 54.84/35.02 tff(30388,plain,
% 54.84/35.02 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB153)) | (~v130(constB153, 0)))),
% 54.84/35.02 inference(quant_inst,[status(thm)],[])).
% 54.84/35.02 tff(30389,plain,
% 54.84/35.02 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB153)) | (~v130(constB153, 0))),
% 54.84/35.02 inference(modus_ponens,[status(thm)],[30388, 30387])).
% 54.84/35.02 tff(30390,plain,
% 54.84/35.02 (~v122(constB153)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30389, 2407, 30345])).
% 54.84/35.02 tff(30391,plain,
% 54.84/35.02 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB153) | v120(constB153) | v121(constB153) | v122(constB153) | v123(constB153) | v124(constB153) | (~v130(constB153, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB153) | v120(constB153) | v121(constB153) | v122(constB153) | v123(constB153) | v124(constB153) | (~v130(constB153, 2)))),
% 54.84/35.02 inference(rewrite,[status(thm)],[])).
% 54.84/35.02 tff(30392,plain,
% 54.84/35.02 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB153) | v120(constB153) | v121(constB153) | v122(constB153) | v123(constB153) | v124(constB153) | (~v130(constB153, 2)))),
% 54.84/35.02 inference(quant_inst,[status(thm)],[])).
% 54.84/35.02 tff(30393,plain,
% 54.84/35.02 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB153) | v120(constB153) | v121(constB153) | v122(constB153) | v123(constB153) | v124(constB153) | (~v130(constB153, 2))),
% 54.84/35.02 inference(modus_ponens,[status(thm)],[30392, 30391])).
% 54.84/35.02 tff(30394,plain,
% 54.84/35.02 (v119(constB153) | v120(constB153) | v122(constB153) | v123(constB153) | v124(constB153) | (~v130(constB153, 2))),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30393, 2904, 28992])).
% 54.84/35.02 tff(30395,plain,
% 54.84/35.02 ($false),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30394, 30390, 30386, 30378, 30382, 30374, 30349])).
% 54.84/35.02 tff(30396,plain,(v100(constB156) | v121(constB153) | v90(constB127, 2) | (~v90(constB156, 2))), inference(lemma,lemma(discharge,[]))).
% 54.84/35.02 tff(30397,plain,
% 54.84/35.02 (v100(constB156)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30396, 29703, 26097, 29702])).
% 54.84/35.02 tff(30398,plain,
% 54.84/35.02 (v90(constB156, 0)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[29636, 29452])).
% 54.84/35.02 tff(30399,plain,
% 54.84/35.02 (v129(constB156, 0) | (~v100(constB156))),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[29626, 1704, 30398])).
% 54.84/35.02 tff(30400,plain,
% 54.84/35.02 (v129(constB156, 0)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[30399, 30397])).
% 54.84/35.02 tff(30401,plain,
% 54.84/35.02 (v127(constB155, 0)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[29587, 30400])).
% 54.84/35.02 tff(30402,plain,
% 54.84/35.02 (v130(constB155, 0)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[29579, 30401])).
% 54.84/35.02 tff(30403,plain,
% 54.84/35.02 (~v122(constB155)),
% 54.84/35.02 inference(unit_resolution,[status(thm)],[29567, 2407, 30402])).
% 54.84/35.02 tff(30404,plain,
% 54.84/35.02 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB155)) | (~v130(constB155, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB155)) | (~v130(constB155, 0)))),
% 54.84/35.03 inference(rewrite,[status(thm)],[])).
% 54.84/35.03 tff(30405,plain,
% 54.84/35.03 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB155)) | (~v130(constB155, 0)))),
% 54.84/35.03 inference(quant_inst,[status(thm)],[])).
% 54.84/35.03 tff(30406,plain,
% 54.84/35.03 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB155)) | (~v130(constB155, 0))),
% 54.84/35.03 inference(modus_ponens,[status(thm)],[30405, 30404])).
% 54.84/35.03 tff(30407,plain,
% 54.84/35.03 (~v120(constB155)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30406, 1657, 30402])).
% 54.84/35.03 tff(30408,plain,
% 54.84/35.03 (v90(constB156, 1)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[29670, 29474])).
% 54.84/35.03 tff(30409,plain,
% 54.84/35.03 (v129(constB156, 1)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[29660, 1309, 30397, 30408])).
% 54.84/35.03 tff(30410,plain,
% 54.84/35.03 (v127(constB155, 1)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[29653, 30409])).
% 54.84/35.03 tff(30411,plain,
% 54.84/35.03 (v130(constB155, 1)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[29648, 30410])).
% 54.84/35.03 tff(30412,plain,
% 54.84/35.03 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB155)) | (~v130(constB155, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB155)) | (~v130(constB155, 0)))),
% 54.84/35.03 inference(rewrite,[status(thm)],[])).
% 54.84/35.03 tff(30413,plain,
% 54.84/35.03 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB155)) | (~v130(constB155, 0)))),
% 54.84/35.03 inference(quant_inst,[status(thm)],[])).
% 54.84/35.03 tff(30414,plain,
% 54.84/35.03 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB155)) | (~v130(constB155, 0))),
% 54.84/35.03 inference(modus_ponens,[status(thm)],[30413, 30412])).
% 54.84/35.03 tff(30415,plain,
% 54.84/35.03 (~v124(constB155)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30414, 3274, 30402])).
% 54.84/35.03 tff(30416,plain,
% 54.84/35.03 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB155)) | (~v130(constB155, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB155)) | (~v130(constB155, 1)))),
% 54.84/35.03 inference(rewrite,[status(thm)],[])).
% 54.84/35.03 tff(30417,plain,
% 54.84/35.03 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB155)) | (~v130(constB155, 1)))),
% 54.84/35.03 inference(quant_inst,[status(thm)],[])).
% 54.84/35.03 tff(30418,plain,
% 54.84/35.03 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB155)) | (~v130(constB155, 1))),
% 54.84/35.03 inference(modus_ponens,[status(thm)],[30417, 30416])).
% 54.84/35.03 tff(30419,plain,
% 54.84/35.03 (~v119(constB155)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30418, 1262, 30411])).
% 54.84/35.03 tff(30420,plain,
% 54.84/35.03 (v129(constB156, 2)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[29828, 1223, 30397, 29703])).
% 54.84/35.03 tff(30421,plain,
% 54.84/35.03 (v127(constB155, 2)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[29824, 30420])).
% 54.84/35.03 tff(30422,plain,
% 54.84/35.03 (v130(constB155, 2)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[29818, 30421])).
% 54.84/35.03 tff(30423,plain,
% 54.84/35.03 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB155)) | (~v130(constB155, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB155)) | (~v130(constB155, 2)))),
% 54.84/35.03 inference(rewrite,[status(thm)],[])).
% 54.84/35.03 tff(30424,plain,
% 54.84/35.03 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB155)) | (~v130(constB155, 2)))),
% 54.84/35.03 inference(quant_inst,[status(thm)],[])).
% 54.84/35.03 tff(30425,plain,
% 54.84/35.03 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB155)) | (~v130(constB155, 2))),
% 54.84/35.03 inference(modus_ponens,[status(thm)],[30424, 30423])).
% 54.84/35.03 tff(30426,plain,
% 54.84/35.03 (~v121(constB155)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30425, 1821, 30422])).
% 54.84/35.03 tff(30427,assumption,(~v123(constB155)), introduced(assumption)).
% 54.84/35.03 tff(30428,plain,
% 54.84/35.03 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~v130(constB155, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~v130(constB155, 1)))),
% 54.84/35.03 inference(rewrite,[status(thm)],[])).
% 54.84/35.03 tff(30429,plain,
% 54.84/35.03 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~v130(constB155, 1)))),
% 54.84/35.03 inference(quant_inst,[status(thm)],[])).
% 54.84/35.03 tff(30430,plain,
% 54.84/35.03 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155) | (~v130(constB155, 1))),
% 54.84/35.03 inference(modus_ponens,[status(thm)],[30429, 30428])).
% 54.84/35.03 tff(30431,plain,
% 54.84/35.03 (v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v124(constB155) | (~v130(constB155, 1))),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30430, 3309, 30427])).
% 54.84/35.03 tff(30432,plain,
% 54.84/35.03 ($false),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30431, 30426, 30419, 30415, 30411, 30407, 30403])).
% 54.84/35.03 tff(30433,plain,(v100(constB158) | v123(constB155) | v90(constB127, 2)), inference(lemma,lemma(discharge,[]))).
% 54.84/35.03 tff(30434,plain,
% 54.84/35.03 (v100(constB158)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30433, 29102, 21625])).
% 54.84/35.03 tff(30435,assumption,(v123(constB153)), introduced(assumption)).
% 54.84/35.03 tff(30436,plain,
% 54.84/35.03 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB153)) | v130(constB153, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB153)) | v130(constB153, 2))),
% 54.84/35.03 inference(rewrite,[status(thm)],[])).
% 54.84/35.03 tff(30437,plain,
% 54.84/35.03 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB153)) | v130(constB153, 2))),
% 54.84/35.03 inference(quant_inst,[status(thm)],[])).
% 54.84/35.03 tff(30438,plain,
% 54.84/35.03 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB153)) | v130(constB153, 2)),
% 54.84/35.03 inference(modus_ponens,[status(thm)],[30437, 30436])).
% 54.84/35.03 tff(30439,plain,
% 54.84/35.03 (v130(constB153, 2)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30438, 2525, 30435])).
% 54.84/35.03 tff(30440,plain,
% 54.84/35.03 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB153) | (~v130(constB153, 2)) | v127(constB153, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB153) | (~v130(constB153, 2)) | v127(constB153, 2))),
% 54.84/35.03 inference(rewrite,[status(thm)],[])).
% 54.84/35.03 tff(30441,plain,
% 54.84/35.03 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB153) | (~v130(constB153, 2)) | v127(constB153, 2))),
% 54.84/35.03 inference(quant_inst,[status(thm)],[])).
% 54.84/35.03 tff(30442,plain,
% 54.84/35.03 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB153) | (~v130(constB153, 2)) | v127(constB153, 2)),
% 54.84/35.03 inference(modus_ponens,[status(thm)],[30441, 30440])).
% 54.84/35.03 tff(30443,plain,
% 54.84/35.03 ((~v130(constB153, 2)) | v127(constB153, 2)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30442, 1981, 28930])).
% 54.84/35.03 tff(30444,plain,
% 54.84/35.03 (v127(constB153, 2)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30443, 30439])).
% 54.84/35.03 tff(30445,plain,
% 54.84/35.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB153, constB154)) | (~v127(constB153, 2)) | v129(constB154, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB153, constB154)) | (~v127(constB153, 2)) | v129(constB154, 2))),
% 54.84/35.03 inference(rewrite,[status(thm)],[])).
% 54.84/35.03 tff(30446,plain,
% 54.84/35.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB153, constB154)) | (~v127(constB153, 2)) | v129(constB154, 2))),
% 54.84/35.03 inference(quant_inst,[status(thm)],[])).
% 54.84/35.03 tff(30447,plain,
% 54.84/35.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB153, constB154)) | (~v127(constB153, 2)) | v129(constB154, 2)),
% 54.84/35.03 inference(modus_ponens,[status(thm)],[30446, 30445])).
% 54.84/35.03 tff(30448,plain,
% 54.84/35.03 ((~v127(constB153, 2)) | v129(constB154, 2)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30447, 1999, 28938])).
% 54.84/35.03 tff(30449,plain,
% 54.84/35.03 (v129(constB154, 2)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30448, 30444])).
% 54.84/35.03 tff(30450,assumption,(v100(constB154)), introduced(assumption)).
% 54.84/35.03 tff(30451,plain,
% 54.84/35.03 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB154, 2) | (~v129(constB154, 2)) | (~v100(constB154)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB154, 2) | (~v129(constB154, 2)) | (~v100(constB154)))),
% 54.84/35.03 inference(rewrite,[status(thm)],[])).
% 54.84/35.03 tff(30452,plain,
% 54.84/35.03 ((v90(constB154, 2) | (~v100(constB154)) | (~v129(constB154, 2))) <=> (v90(constB154, 2) | (~v129(constB154, 2)) | (~v100(constB154)))),
% 54.84/35.03 inference(rewrite,[status(thm)],[])).
% 54.84/35.03 tff(30453,plain,
% 54.84/35.03 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB154, 2) | (~v100(constB154)) | (~v129(constB154, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB154, 2) | (~v129(constB154, 2)) | (~v100(constB154))))),
% 54.84/35.03 inference(monotonicity,[status(thm)],[30452])).
% 54.84/35.03 tff(30454,plain,
% 54.84/35.03 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB154, 2) | (~v100(constB154)) | (~v129(constB154, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB154, 2) | (~v129(constB154, 2)) | (~v100(constB154)))),
% 54.84/35.03 inference(transitivity,[status(thm)],[30453, 30451])).
% 54.84/35.03 tff(30455,plain,
% 54.84/35.03 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB154, 2) | (~v100(constB154)) | (~v129(constB154, 2)))),
% 54.84/35.03 inference(quant_inst,[status(thm)],[])).
% 54.84/35.03 tff(30456,plain,
% 54.84/35.03 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB154, 2) | (~v129(constB154, 2)) | (~v100(constB154))),
% 54.84/35.03 inference(modus_ponens,[status(thm)],[30455, 30454])).
% 54.84/35.03 tff(30457,plain,
% 54.84/35.03 (v90(constB154, 2) | (~v129(constB154, 2))),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30456, 2324, 30450])).
% 54.84/35.03 tff(30458,plain,
% 54.84/35.03 (v90(constB154, 2)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30457, 30449])).
% 54.84/35.03 tff(30459,plain,
% 54.84/35.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB154, 2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB154, 2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, 2))),
% 54.84/35.03 inference(rewrite,[status(thm)],[])).
% 54.84/35.03 tff(30460,plain,
% 54.84/35.03 (((~nextState(constB154, constB155)) | (~v90(constB154, 2)) | v100(constB155) | v90(constB155, 2)) <=> ((~v90(constB154, 2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, 2))),
% 54.84/35.03 inference(rewrite,[status(thm)],[])).
% 54.84/35.03 tff(30461,plain,
% 54.84/35.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB154, constB155)) | (~v90(constB154, 2)) | v100(constB155) | v90(constB155, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB154, 2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, 2)))),
% 54.84/35.03 inference(monotonicity,[status(thm)],[30460])).
% 54.84/35.03 tff(30462,plain,
% 54.84/35.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB154, constB155)) | (~v90(constB154, 2)) | v100(constB155) | v90(constB155, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB154, 2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, 2))),
% 54.84/35.03 inference(transitivity,[status(thm)],[30461, 30459])).
% 54.84/35.03 tff(30463,plain,
% 54.84/35.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB154, constB155)) | (~v90(constB154, 2)) | v100(constB155) | v90(constB155, 2))),
% 54.84/35.03 inference(quant_inst,[status(thm)],[])).
% 54.84/35.03 tff(30464,plain,
% 54.84/35.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB154, 2)) | (~nextState(constB154, constB155)) | v100(constB155) | v90(constB155, 2)),
% 54.84/35.03 inference(modus_ponens,[status(thm)],[30463, 30462])).
% 54.84/35.03 tff(30465,plain,
% 54.84/35.03 ((~v90(constB154, 2)) | v100(constB155) | v90(constB155, 2)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30464, 2174, 29077])).
% 54.84/35.03 tff(30466,plain,
% 54.84/35.03 ((~v90(constB154, 2)) | v90(constB155, 2)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30465, 29089])).
% 54.84/35.03 tff(30467,plain,
% 54.84/35.03 (v90(constB155, 2)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30466, 30458])).
% 54.84/35.03 tff(30468,plain,
% 54.84/35.03 (v130(constB153, 0)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[28925, 2622, 30435])).
% 54.84/35.03 tff(30469,plain,
% 54.84/35.03 (v127(constB153, 0)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[28934, 30468])).
% 54.84/35.03 tff(30470,plain,
% 54.84/35.03 (v129(constB154, 0)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[28942, 30469])).
% 54.84/35.03 tff(30471,plain,
% 54.84/35.03 (v90(constB154, 0) | (~v129(constB154, 0))),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[29069, 1377, 30450])).
% 54.84/35.03 tff(30472,plain,
% 54.84/35.03 (v90(constB154, 0)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30471, 30470])).
% 54.84/35.03 tff(30473,plain,
% 54.84/35.03 (v90(constB155, 0)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[29097, 30472])).
% 54.84/35.03 tff(30474,plain,
% 54.84/35.03 (~v130(constB153, 1)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30373, 2581, 30435])).
% 54.84/35.03 tff(30475,plain,
% 54.84/35.03 (~v127(constB153, 1)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30369, 30474])).
% 54.84/35.03 tff(30476,plain,
% 54.84/35.03 (~v129(constB154, 1)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30361, 30475])).
% 54.84/35.03 tff(30477,plain,
% 54.84/35.03 ((~v90(constB154, 1)) | v129(constB154, 1)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30355, 1309, 30450])).
% 54.84/35.03 tff(30478,plain,
% 54.84/35.03 (~v90(constB154, 1)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30477, 30476])).
% 54.84/35.03 tff(30479,plain,
% 54.84/35.03 (~v90(constB155, 1)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[29902, 30478])).
% 54.84/35.03 tff(30480,assumption,(~v124(constB155)), introduced(assumption)).
% 54.84/35.03 tff(30481,plain,
% 54.84/35.03 ((~v90(constB155, 0)) | v90(constB155, 1) | (~v90(constB155, 2))),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[29867, 2663, 30480])).
% 54.84/35.03 tff(30482,plain,
% 54.84/35.03 ($false),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30481, 30479, 30473, 30467])).
% 54.84/35.03 tff(30483,plain,((~v123(constB153)) | v124(constB155) | (~v100(constB154))), inference(lemma,lemma(discharge,[]))).
% 54.84/35.03 tff(30484,plain,
% 54.84/35.03 (v124(constB155)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30483, 29063, 28922])).
% 54.84/35.03 tff(30485,plain,
% 54.84/35.03 (v114(constB155)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[29765, 2674, 30484])).
% 54.84/35.03 tff(30486,plain,
% 54.84/35.03 (v113(constB155)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[29758, 1049, 30485])).
% 54.84/35.03 tff(30487,plain,
% 54.84/35.03 (v112(constB155)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[29746, 30486])).
% 54.84/35.03 tff(30488,plain,
% 54.84/35.03 (v108(constB155)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[29741, 1075, 30487])).
% 54.84/35.03 tff(30489,plain,
% 54.84/35.03 (v110(constB156)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[29734, 30488])).
% 54.84/35.03 tff(30490,plain,
% 54.84/35.03 (v100(constB156)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[29726, 30489])).
% 54.84/35.03 tff(30491,plain,
% 54.84/35.03 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB155)) | v130(constB155, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB155)) | v130(constB155, 1))),
% 54.84/35.03 inference(rewrite,[status(thm)],[])).
% 54.84/35.03 tff(30492,plain,
% 54.84/35.03 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB155)) | v130(constB155, 1))),
% 54.84/35.03 inference(quant_inst,[status(thm)],[])).
% 54.84/35.03 tff(30493,plain,
% 54.84/35.03 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB155)) | v130(constB155, 1)),
% 54.84/35.03 inference(modus_ponens,[status(thm)],[30492, 30491])).
% 54.84/35.03 tff(30494,plain,
% 54.84/35.03 (v130(constB155, 1)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30493, 2808, 30484])).
% 54.84/35.03 tff(30495,plain,
% 54.84/35.03 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB155) | (~v130(constB155, 1)) | v127(constB155, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB155) | (~v130(constB155, 1)) | v127(constB155, 1))),
% 54.84/35.03 inference(rewrite,[status(thm)],[])).
% 54.84/35.03 tff(30496,plain,
% 54.84/35.03 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB155) | (~v130(constB155, 1)) | v127(constB155, 1))),
% 54.84/35.03 inference(quant_inst,[status(thm)],[])).
% 54.84/35.03 tff(30497,plain,
% 54.84/35.03 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB155) | (~v130(constB155, 1)) | v127(constB155, 1)),
% 54.84/35.03 inference(modus_ponens,[status(thm)],[30496, 30495])).
% 54.84/35.03 tff(30498,plain,
% 54.84/35.03 ((~v130(constB155, 1)) | v127(constB155, 1)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30497, 1593, 29572])).
% 54.84/35.03 tff(30499,plain,
% 54.84/35.03 (v127(constB155, 1)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30498, 30494])).
% 54.84/35.03 tff(30500,plain,
% 54.84/35.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB155, constB156)) | (~v127(constB155, 1)) | v129(constB156, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB155, constB156)) | (~v127(constB155, 1)) | v129(constB156, 1))),
% 54.84/35.03 inference(rewrite,[status(thm)],[])).
% 54.84/35.03 tff(30501,plain,
% 54.84/35.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB155, constB156)) | (~v127(constB155, 1)) | v129(constB156, 1))),
% 54.84/35.03 inference(quant_inst,[status(thm)],[])).
% 54.84/35.03 tff(30502,plain,
% 54.84/35.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB155, constB156)) | (~v127(constB155, 1)) | v129(constB156, 1)),
% 54.84/35.03 inference(modus_ponens,[status(thm)],[30501, 30500])).
% 54.84/35.03 tff(30503,plain,
% 54.84/35.03 ((~v127(constB155, 1)) | v129(constB156, 1)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30502, 1608, 29583])).
% 54.84/35.03 tff(30504,plain,
% 54.84/35.03 (v129(constB156, 1)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30503, 30499])).
% 54.84/35.03 tff(30505,plain,
% 54.84/35.03 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB156, 1) | (~v129(constB156, 1)) | (~v100(constB156)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB156, 1) | (~v129(constB156, 1)) | (~v100(constB156)))),
% 54.84/35.03 inference(rewrite,[status(thm)],[])).
% 54.84/35.03 tff(30506,plain,
% 54.84/35.03 ((v90(constB156, 1) | (~v100(constB156)) | (~v129(constB156, 1))) <=> (v90(constB156, 1) | (~v129(constB156, 1)) | (~v100(constB156)))),
% 54.84/35.03 inference(rewrite,[status(thm)],[])).
% 54.84/35.03 tff(30507,plain,
% 54.84/35.03 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB156, 1) | (~v100(constB156)) | (~v129(constB156, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB156, 1) | (~v129(constB156, 1)) | (~v100(constB156))))),
% 54.84/35.03 inference(monotonicity,[status(thm)],[30506])).
% 54.84/35.03 tff(30508,plain,
% 54.84/35.03 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB156, 1) | (~v100(constB156)) | (~v129(constB156, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB156, 1) | (~v129(constB156, 1)) | (~v100(constB156)))),
% 54.84/35.03 inference(transitivity,[status(thm)],[30507, 30505])).
% 54.84/35.03 tff(30509,plain,
% 54.84/35.03 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB156, 1) | (~v100(constB156)) | (~v129(constB156, 1)))),
% 54.84/35.03 inference(quant_inst,[status(thm)],[])).
% 54.84/35.03 tff(30510,plain,
% 54.84/35.03 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB156, 1) | (~v129(constB156, 1)) | (~v100(constB156))),
% 54.84/35.03 inference(modus_ponens,[status(thm)],[30509, 30508])).
% 54.84/35.03 tff(30511,plain,
% 54.84/35.03 (v90(constB156, 1) | (~v100(constB156))),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30510, 1623, 30504])).
% 54.84/35.03 tff(30512,plain,
% 54.84/35.03 (v90(constB156, 1)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30511, 30490])).
% 54.84/35.03 tff(30513,plain,
% 54.84/35.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB156, 1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB156, 1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, 1))),
% 54.84/35.03 inference(rewrite,[status(thm)],[])).
% 54.84/35.03 tff(30514,plain,
% 54.84/35.03 (((~nextState(constB156, constB157)) | (~v90(constB156, 1)) | v100(constB157) | v90(constB157, 1)) <=> ((~v90(constB156, 1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, 1))),
% 54.84/35.03 inference(rewrite,[status(thm)],[])).
% 54.84/35.03 tff(30515,plain,
% 54.84/35.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB156, constB157)) | (~v90(constB156, 1)) | v100(constB157) | v90(constB157, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB156, 1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, 1)))),
% 54.84/35.03 inference(monotonicity,[status(thm)],[30514])).
% 54.84/35.03 tff(30516,plain,
% 54.84/35.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB156, constB157)) | (~v90(constB156, 1)) | v100(constB157) | v90(constB157, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB156, 1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, 1))),
% 54.84/35.03 inference(transitivity,[status(thm)],[30515, 30513])).
% 54.84/35.03 tff(30517,plain,
% 54.84/35.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB156, constB157)) | (~v90(constB156, 1)) | v100(constB157) | v90(constB157, 1))),
% 54.84/35.03 inference(quant_inst,[status(thm)],[])).
% 54.84/35.03 tff(30518,plain,
% 54.84/35.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB156, 1)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, 1)),
% 54.84/35.03 inference(modus_ponens,[status(thm)],[30517, 30516])).
% 54.84/35.03 tff(30519,plain,
% 54.84/35.03 ((~v90(constB156, 1)) | v100(constB157) | v90(constB157, 1)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30518, 1641, 29591])).
% 54.84/35.03 tff(30520,plain,
% 54.84/35.03 ((~v90(constB156, 1)) | v90(constB157, 1)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30519, 29603])).
% 54.84/35.03 tff(30521,plain,
% 54.84/35.03 (v90(constB157, 1)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30520, 30512])).
% 54.84/35.03 tff(30522,plain,
% 54.84/35.03 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB157)) | (~v90(constB157, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB157)) | (~v90(constB157, 1)))),
% 54.84/35.03 inference(rewrite,[status(thm)],[])).
% 54.84/35.03 tff(30523,plain,
% 54.84/35.03 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB157)) | (~v90(constB157, 1)))),
% 54.84/35.03 inference(quant_inst,[status(thm)],[])).
% 54.84/35.03 tff(30524,plain,
% 54.84/35.03 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB157)) | (~v90(constB157, 1))),
% 54.84/35.03 inference(modus_ponens,[status(thm)],[30523, 30522])).
% 54.84/35.03 tff(30525,plain,
% 54.84/35.03 (~v124(constB157)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30524, 2890, 30521])).
% 54.84/35.03 tff(30526,assumption,(v124(constB155)), introduced(assumption)).
% 54.84/35.03 tff(30527,plain,
% 54.84/35.03 (v114(constB155)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[29765, 2674, 30526])).
% 54.84/35.03 tff(30528,plain,
% 54.84/35.03 (v113(constB155)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[29758, 1049, 30527])).
% 54.84/35.03 tff(30529,plain,
% 54.84/35.03 (v112(constB155)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[29746, 30528])).
% 54.84/35.03 tff(30530,plain,
% 54.84/35.03 (v108(constB155)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[29741, 1075, 30529])).
% 54.84/35.03 tff(30531,plain,
% 54.84/35.03 (v110(constB156)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[29734, 30530])).
% 54.84/35.03 tff(30532,plain,
% 54.84/35.03 (v100(constB156)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[29726, 30531])).
% 54.84/35.03 tff(30533,plain,
% 54.84/35.03 (v130(constB155, 1)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30493, 2808, 30526])).
% 54.84/35.03 tff(30534,plain,
% 54.84/35.03 (v127(constB155, 1)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30498, 30533])).
% 54.84/35.03 tff(30535,plain,
% 54.84/35.03 (v129(constB156, 1)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30503, 30534])).
% 54.84/35.03 tff(30536,plain,
% 54.84/35.03 (v90(constB156, 1) | (~v100(constB156))),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30510, 1623, 30535])).
% 54.84/35.03 tff(30537,plain,
% 54.84/35.03 (v90(constB156, 1)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30536, 30532])).
% 54.84/35.03 tff(30538,plain,
% 54.84/35.03 (v90(constB157, 1)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30520, 30537])).
% 54.84/35.03 tff(30539,plain,
% 54.84/35.03 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB157)) | (~v90(constB157, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB157)) | (~v90(constB157, 1)))),
% 54.84/35.03 inference(rewrite,[status(thm)],[])).
% 54.84/35.03 tff(30540,plain,
% 54.84/35.03 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB157)) | (~v90(constB157, 1)))),
% 54.84/35.03 inference(quant_inst,[status(thm)],[])).
% 54.84/35.03 tff(30541,plain,
% 54.84/35.03 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB157)) | (~v90(constB157, 1))),
% 54.84/35.03 inference(modus_ponens,[status(thm)],[30540, 30539])).
% 54.84/35.03 tff(30542,plain,
% 54.84/35.03 (~v123(constB157)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30541, 2879, 30538])).
% 54.84/35.03 tff(30543,assumption,(~v124(constB157)), introduced(assumption)).
% 54.84/35.03 tff(30544,plain,
% 54.84/35.03 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB157)) | (~v90(constB157, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB157)) | (~v90(constB157, 1)))),
% 54.84/35.03 inference(rewrite,[status(thm)],[])).
% 54.84/35.03 tff(30545,plain,
% 54.84/35.03 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB157)) | (~v90(constB157, 1)))),
% 54.84/35.03 inference(quant_inst,[status(thm)],[])).
% 54.84/35.03 tff(30546,plain,
% 54.84/35.03 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB157)) | (~v90(constB157, 1))),
% 54.84/35.03 inference(modus_ponens,[status(thm)],[30545, 30544])).
% 54.84/35.03 tff(30547,plain,
% 54.84/35.03 (~v120(constB157)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30546, 2846, 30538])).
% 54.84/35.03 tff(30548,plain,
% 54.84/35.03 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB155)) | v130(constB155, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB155)) | v130(constB155, 2))),
% 54.84/35.03 inference(rewrite,[status(thm)],[])).
% 54.84/35.03 tff(30549,plain,
% 54.84/35.03 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB155)) | v130(constB155, 2))),
% 54.84/35.03 inference(quant_inst,[status(thm)],[])).
% 54.84/35.03 tff(30550,plain,
% 54.84/35.03 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB155)) | v130(constB155, 2)),
% 54.84/35.03 inference(modus_ponens,[status(thm)],[30549, 30548])).
% 54.84/35.03 tff(30551,plain,
% 54.84/35.03 (v130(constB155, 2)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30550, 2741, 30526])).
% 54.84/35.03 tff(30552,plain,
% 54.84/35.03 (v127(constB155, 2)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[29849, 30551])).
% 54.84/35.03 tff(30553,plain,
% 54.84/35.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB155, constB156)) | (~v127(constB155, 2)) | v129(constB156, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB155, constB156)) | (~v127(constB155, 2)) | v129(constB156, 2))),
% 54.84/35.03 inference(rewrite,[status(thm)],[])).
% 54.84/35.03 tff(30554,plain,
% 54.84/35.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB155, constB156)) | (~v127(constB155, 2)) | v129(constB156, 2))),
% 54.84/35.03 inference(quant_inst,[status(thm)],[])).
% 54.84/35.03 tff(30555,plain,
% 54.84/35.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB155, constB156)) | (~v127(constB155, 2)) | v129(constB156, 2)),
% 54.84/35.03 inference(modus_ponens,[status(thm)],[30554, 30553])).
% 54.84/35.03 tff(30556,plain,
% 54.84/35.03 ((~v127(constB155, 2)) | v129(constB156, 2)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30555, 1999, 29583])).
% 54.84/35.03 tff(30557,plain,
% 54.84/35.03 (v129(constB156, 2)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30556, 30552])).
% 54.84/35.03 tff(30558,plain,
% 54.84/35.03 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB156, 2) | (~v129(constB156, 2)) | (~v100(constB156)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB156, 2) | (~v129(constB156, 2)) | (~v100(constB156)))),
% 54.84/35.03 inference(rewrite,[status(thm)],[])).
% 54.84/35.03 tff(30559,plain,
% 54.84/35.03 ((v90(constB156, 2) | (~v100(constB156)) | (~v129(constB156, 2))) <=> (v90(constB156, 2) | (~v129(constB156, 2)) | (~v100(constB156)))),
% 54.84/35.03 inference(rewrite,[status(thm)],[])).
% 54.84/35.03 tff(30560,plain,
% 54.84/35.03 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB156, 2) | (~v100(constB156)) | (~v129(constB156, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB156, 2) | (~v129(constB156, 2)) | (~v100(constB156))))),
% 54.84/35.03 inference(monotonicity,[status(thm)],[30559])).
% 54.84/35.03 tff(30561,plain,
% 54.84/35.03 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB156, 2) | (~v100(constB156)) | (~v129(constB156, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB156, 2) | (~v129(constB156, 2)) | (~v100(constB156)))),
% 54.84/35.03 inference(transitivity,[status(thm)],[30560, 30558])).
% 54.84/35.03 tff(30562,plain,
% 54.84/35.03 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB156, 2) | (~v100(constB156)) | (~v129(constB156, 2)))),
% 54.84/35.03 inference(quant_inst,[status(thm)],[])).
% 54.84/35.03 tff(30563,plain,
% 54.84/35.03 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB156, 2) | (~v129(constB156, 2)) | (~v100(constB156))),
% 54.84/35.03 inference(modus_ponens,[status(thm)],[30562, 30561])).
% 54.84/35.03 tff(30564,plain,
% 54.84/35.03 (v90(constB156, 2) | (~v100(constB156))),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30563, 2324, 30557])).
% 54.84/35.03 tff(30565,plain,
% 54.84/35.03 (v90(constB156, 2)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30564, 30532])).
% 54.84/35.03 tff(30566,plain,
% 54.84/35.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB156, 2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB156, 2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, 2))),
% 54.84/35.03 inference(rewrite,[status(thm)],[])).
% 54.84/35.03 tff(30567,plain,
% 54.84/35.03 (((~nextState(constB156, constB157)) | (~v90(constB156, 2)) | v100(constB157) | v90(constB157, 2)) <=> ((~v90(constB156, 2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, 2))),
% 54.84/35.03 inference(rewrite,[status(thm)],[])).
% 54.84/35.03 tff(30568,plain,
% 54.84/35.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB156, constB157)) | (~v90(constB156, 2)) | v100(constB157) | v90(constB157, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB156, 2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, 2)))),
% 54.84/35.03 inference(monotonicity,[status(thm)],[30567])).
% 54.84/35.03 tff(30569,plain,
% 54.84/35.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB156, constB157)) | (~v90(constB156, 2)) | v100(constB157) | v90(constB157, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB156, 2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, 2))),
% 54.84/35.03 inference(transitivity,[status(thm)],[30568, 30566])).
% 54.84/35.03 tff(30570,plain,
% 54.84/35.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB156, constB157)) | (~v90(constB156, 2)) | v100(constB157) | v90(constB157, 2))),
% 54.84/35.03 inference(quant_inst,[status(thm)],[])).
% 54.84/35.03 tff(30571,plain,
% 54.84/35.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB156, 2)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, 2)),
% 54.84/35.03 inference(modus_ponens,[status(thm)],[30570, 30569])).
% 54.84/35.03 tff(30572,plain,
% 54.84/35.03 ((~v90(constB156, 2)) | v100(constB157) | v90(constB157, 2)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30571, 2174, 29591])).
% 54.84/35.03 tff(30573,plain,
% 54.84/35.03 ((~v90(constB156, 2)) | v90(constB157, 2)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30572, 29603])).
% 54.84/35.03 tff(30574,plain,
% 54.84/35.03 (v90(constB157, 2)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30573, 30565])).
% 54.84/35.03 tff(30575,plain,
% 54.84/35.03 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB157)) | (~v90(constB157, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB157)) | (~v90(constB157, 2)))),
% 54.84/35.03 inference(rewrite,[status(thm)],[])).
% 54.84/35.03 tff(30576,plain,
% 54.84/35.03 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB157)) | (~v90(constB157, 2)))),
% 54.84/35.03 inference(quant_inst,[status(thm)],[])).
% 54.84/35.03 tff(30577,plain,
% 54.84/35.03 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB157)) | (~v90(constB157, 2))),
% 54.84/35.03 inference(modus_ponens,[status(thm)],[30576, 30575])).
% 54.84/35.03 tff(30578,plain,
% 54.84/35.03 (~v122(constB157)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30577, 2797, 30574])).
% 54.84/35.03 tff(30579,plain,
% 54.84/35.03 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB157)) | (~v90(constB157, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB157)) | (~v90(constB157, 2)))),
% 54.84/35.03 inference(rewrite,[status(thm)],[])).
% 54.84/35.03 tff(30580,plain,
% 54.84/35.03 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB157)) | (~v90(constB157, 2)))),
% 54.84/35.03 inference(quant_inst,[status(thm)],[])).
% 54.84/35.03 tff(30581,plain,
% 54.84/35.03 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB157)) | (~v90(constB157, 2))),
% 54.84/35.03 inference(modus_ponens,[status(thm)],[30580, 30579])).
% 54.84/35.03 tff(30582,plain,
% 54.84/35.03 (~v121(constB157)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30581, 2857, 30574])).
% 54.84/35.03 tff(30583,plain,
% 54.84/35.03 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB157)) | (~v90(constB157, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB157)) | (~v90(constB157, 1)))),
% 54.84/35.03 inference(rewrite,[status(thm)],[])).
% 54.84/35.03 tff(30584,plain,
% 54.84/35.03 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB157)) | (~v90(constB157, 1)))),
% 54.84/35.03 inference(quant_inst,[status(thm)],[])).
% 54.84/35.03 tff(30585,plain,
% 54.84/35.03 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB157)) | (~v90(constB157, 1))),
% 54.84/35.03 inference(modus_ponens,[status(thm)],[30584, 30583])).
% 54.84/35.03 tff(30586,plain,
% 54.84/35.03 (~v119(constB157)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30585, 2868, 30538])).
% 54.84/35.03 tff(30587,plain,
% 54.84/35.03 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, 2)))),
% 54.84/35.03 inference(rewrite,[status(thm)],[])).
% 54.84/35.03 tff(30588,plain,
% 54.84/35.03 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, 2)))),
% 54.84/35.03 inference(quant_inst,[status(thm)],[])).
% 54.84/35.03 tff(30589,plain,
% 54.84/35.03 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, 2))),
% 54.84/35.03 inference(modus_ponens,[status(thm)],[30588, 30587])).
% 54.84/35.03 tff(30590,plain,
% 54.84/35.03 (~v130(constB157, 2)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30589, 2904, 30586, 30582, 30578, 30547, 30543, 30542])).
% 54.84/35.03 tff(30591,plain,
% 54.84/35.03 (~v127(constB157, 2)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[29325, 30590])).
% 54.84/35.03 tff(30592,plain,
% 54.84/35.03 (~v129(constB158, 2)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[29330, 30591])).
% 54.84/35.03 tff(30593,assumption,(v100(constB158)), introduced(assumption)).
% 54.84/35.03 tff(30594,plain,
% 54.84/35.03 ((~v90(constB158, 2)) | v129(constB158, 2)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[29334, 1223, 30593])).
% 54.84/35.03 tff(30595,plain,
% 54.84/35.03 (~v90(constB158, 2)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30594, 30592])).
% 54.84/35.03 tff(30596,plain,
% 54.84/35.03 (~v90(constB159, 2)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[29344, 30595])).
% 54.84/35.03 tff(30597,plain,
% 54.84/35.03 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | v130(constB157, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | v130(constB157, 0))),
% 54.84/35.03 inference(rewrite,[status(thm)],[])).
% 54.84/35.03 tff(30598,plain,
% 54.84/35.03 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | v130(constB157, 0))),
% 54.84/35.03 inference(quant_inst,[status(thm)],[])).
% 54.84/35.03 tff(30599,plain,
% 54.84/35.03 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | v130(constB157, 0)),
% 54.84/35.03 inference(modus_ponens,[status(thm)],[30598, 30597])).
% 54.84/35.03 tff(30600,plain,
% 54.84/35.03 (v130(constB157, 0)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30599, 3413, 30586, 30582, 30578, 30547, 30543, 30542])).
% 54.84/35.03 tff(30601,plain,
% 54.84/35.03 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB157) | (~v130(constB157, 0)) | v127(constB157, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB157) | (~v130(constB157, 0)) | v127(constB157, 0))),
% 54.84/35.03 inference(rewrite,[status(thm)],[])).
% 54.84/35.03 tff(30602,plain,
% 54.84/35.03 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB157) | (~v130(constB157, 0)) | v127(constB157, 0))),
% 54.84/35.03 inference(quant_inst,[status(thm)],[])).
% 54.84/35.03 tff(30603,plain,
% 54.84/35.03 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB157) | (~v130(constB157, 0)) | v127(constB157, 0)),
% 54.84/35.03 inference(modus_ponens,[status(thm)],[30602, 30601])).
% 54.84/35.03 tff(30604,plain,
% 54.84/35.03 ((~v130(constB157, 0)) | v127(constB157, 0)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30603, 1347, 29309])).
% 54.84/35.03 tff(30605,plain,
% 54.84/35.03 (v127(constB157, 0)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30604, 30600])).
% 54.84/35.03 tff(30606,plain,
% 54.84/35.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB157, constB158)) | (~v127(constB157, 0)) | v129(constB158, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB157, constB158)) | (~v127(constB157, 0)) | v129(constB158, 0))),
% 54.84/35.03 inference(rewrite,[status(thm)],[])).
% 54.84/35.03 tff(30607,plain,
% 54.84/35.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB157, constB158)) | (~v127(constB157, 0)) | v129(constB158, 0))),
% 54.84/35.03 inference(quant_inst,[status(thm)],[])).
% 54.84/35.03 tff(30608,plain,
% 54.84/35.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB157, constB158)) | (~v127(constB157, 0)) | v129(constB158, 0)),
% 54.84/35.03 inference(modus_ponens,[status(thm)],[30607, 30606])).
% 54.84/35.03 tff(30609,plain,
% 54.84/35.03 ((~v127(constB157, 0)) | v129(constB158, 0)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30608, 1362, 29109])).
% 54.84/35.03 tff(30610,plain,
% 54.84/35.03 (v129(constB158, 0)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30609, 30605])).
% 54.84/35.03 tff(30611,plain,
% 54.84/35.03 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB158, 0) | (~v129(constB158, 0)) | (~v100(constB158)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB158, 0) | (~v129(constB158, 0)) | (~v100(constB158)))),
% 54.84/35.03 inference(rewrite,[status(thm)],[])).
% 54.84/35.03 tff(30612,plain,
% 54.84/35.03 ((v90(constB158, 0) | (~v100(constB158)) | (~v129(constB158, 0))) <=> (v90(constB158, 0) | (~v129(constB158, 0)) | (~v100(constB158)))),
% 54.84/35.03 inference(rewrite,[status(thm)],[])).
% 54.84/35.03 tff(30613,plain,
% 54.84/35.03 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB158, 0) | (~v100(constB158)) | (~v129(constB158, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB158, 0) | (~v129(constB158, 0)) | (~v100(constB158))))),
% 54.84/35.03 inference(monotonicity,[status(thm)],[30612])).
% 54.84/35.03 tff(30614,plain,
% 54.84/35.03 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB158, 0) | (~v100(constB158)) | (~v129(constB158, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB158, 0) | (~v129(constB158, 0)) | (~v100(constB158)))),
% 54.84/35.03 inference(transitivity,[status(thm)],[30613, 30611])).
% 54.84/35.03 tff(30615,plain,
% 54.84/35.03 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB158, 0) | (~v100(constB158)) | (~v129(constB158, 0)))),
% 54.84/35.03 inference(quant_inst,[status(thm)],[])).
% 54.84/35.03 tff(30616,plain,
% 54.84/35.03 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB158, 0) | (~v129(constB158, 0)) | (~v100(constB158))),
% 54.84/35.03 inference(modus_ponens,[status(thm)],[30615, 30614])).
% 54.84/35.03 tff(30617,plain,
% 54.84/35.03 (v90(constB158, 0) | (~v129(constB158, 0))),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30616, 1377, 30593])).
% 54.84/35.03 tff(30618,plain,
% 54.84/35.03 (v90(constB158, 0)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30617, 30610])).
% 54.84/35.03 tff(30619,plain,
% 54.84/35.03 (v90(constB159, 0)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[29290, 30618])).
% 54.84/35.03 tff(30620,plain,
% 54.84/35.03 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, 1)))),
% 54.84/35.03 inference(rewrite,[status(thm)],[])).
% 54.84/35.03 tff(30621,plain,
% 54.84/35.03 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, 1)))),
% 54.84/35.03 inference(quant_inst,[status(thm)],[])).
% 54.84/35.03 tff(30622,plain,
% 54.84/35.03 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | (~v130(constB157, 1))),
% 54.84/35.03 inference(modus_ponens,[status(thm)],[30621, 30620])).
% 54.84/35.03 tff(30623,plain,
% 54.84/35.03 (~v130(constB157, 1)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30622, 3309, 30586, 30582, 30578, 30547, 30543, 30542])).
% 54.84/35.03 tff(30624,plain,
% 54.84/35.03 (~v127(constB157, 1)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[29695, 30623])).
% 54.84/35.03 tff(30625,plain,
% 54.84/35.03 (~v129(constB158, 1)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[29687, 30624])).
% 54.84/35.03 tff(30626,plain,
% 54.84/35.03 ((~v90(constB158, 1)) | v129(constB158, 1)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[29681, 1309, 30593])).
% 54.84/35.03 tff(30627,plain,
% 54.84/35.03 (~v90(constB158, 1)),
% 54.84/35.03 inference(unit_resolution,[status(thm)],[30626, 30625])).
% 54.84/35.03 tff(30628,plain,
% 54.84/35.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB158, 1) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB158, 1) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, 1)))),
% 54.84/35.04 inference(rewrite,[status(thm)],[])).
% 54.84/35.04 tff(30629,plain,
% 54.84/35.04 (((~nextState(constB158, constB159)) | v90(constB158, 1) | v100(constB159) | (~v90(constB159, 1))) <=> (v90(constB158, 1) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, 1)))),
% 54.84/35.04 inference(rewrite,[status(thm)],[])).
% 54.84/35.04 tff(30630,plain,
% 54.84/35.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB158, constB159)) | v90(constB158, 1) | v100(constB159) | (~v90(constB159, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB158, 1) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, 1))))),
% 54.84/35.04 inference(monotonicity,[status(thm)],[30629])).
% 54.84/35.04 tff(30631,plain,
% 54.84/35.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB158, constB159)) | v90(constB158, 1) | v100(constB159) | (~v90(constB159, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB158, 1) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, 1)))),
% 54.84/35.04 inference(transitivity,[status(thm)],[30630, 30628])).
% 54.84/35.04 tff(30632,plain,
% 54.84/35.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB158, constB159)) | v90(constB158, 1) | v100(constB159) | (~v90(constB159, 1)))),
% 54.84/35.04 inference(quant_inst,[status(thm)],[])).
% 54.84/35.04 tff(30633,plain,
% 54.84/35.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB158, 1) | (~nextState(constB158, constB159)) | v100(constB159) | (~v90(constB159, 1))),
% 54.84/35.04 inference(modus_ponens,[status(thm)],[30632, 30631])).
% 54.84/35.04 tff(30634,plain,
% 54.84/35.04 (v90(constB158, 1) | v100(constB159) | (~v90(constB159, 1))),
% 54.84/35.04 inference(unit_resolution,[status(thm)],[30633, 926, 29270])).
% 54.84/35.04 tff(30635,plain,
% 54.84/35.04 (v90(constB158, 1) | (~v90(constB159, 1))),
% 54.84/35.04 inference(unit_resolution,[status(thm)],[30634, 29282])).
% 54.84/35.04 tff(30636,plain,
% 54.84/35.04 (~v90(constB159, 1)),
% 54.84/35.04 inference(unit_resolution,[status(thm)],[30635, 30627])).
% 54.84/35.04 tff(30637,assumption,(~v120(constB159)), introduced(assumption)).
% 54.84/35.04 tff(30638,plain,
% 54.84/35.04 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB159, 0)) | v90(constB159, 1) | v90(constB159, 2) | v120(constB159))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB159, 0)) | v90(constB159, 1) | v90(constB159, 2) | v120(constB159))),
% 54.84/35.04 inference(rewrite,[status(thm)],[])).
% 54.84/35.04 tff(30639,plain,
% 54.84/35.04 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB159, 0)) | v90(constB159, 1) | v90(constB159, 2) | v120(constB159))),
% 54.84/35.04 inference(quant_inst,[status(thm)],[])).
% 54.84/35.04 tff(30640,plain,
% 54.84/35.04 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB159, 0)) | v90(constB159, 1) | v90(constB159, 2) | v120(constB159)),
% 54.84/35.04 inference(modus_ponens,[status(thm)],[30639, 30638])).
% 54.84/35.04 tff(30641,plain,
% 54.84/35.04 ((~v90(constB159, 0)) | v90(constB159, 1) | v90(constB159, 2)),
% 54.84/35.04 inference(unit_resolution,[status(thm)],[30640, 1414, 30637])).
% 54.84/35.04 tff(30642,plain,
% 54.84/35.04 ($false),
% 54.84/35.04 inference(unit_resolution,[status(thm)],[30641, 30636, 30619, 30596])).
% 54.84/35.04 tff(30643,plain,((~v124(constB155)) | v120(constB159) | (~v100(constB158)) | v124(constB157)), inference(lemma,lemma(discharge,[]))).
% 54.84/35.04 tff(30644,plain,
% 54.84/35.04 (v120(constB159)),
% 54.84/35.04 inference(unit_resolution,[status(thm)],[30643, 30525, 30484, 30434])).
% 54.84/35.04 tff(30645,assumption,(v120(constB159)), introduced(assumption)).
% 54.84/35.04 tff(30646,plain,
% 54.84/35.04 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB159)) | v118(constB159))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB159)) | v118(constB159))),
% 54.84/35.04 inference(rewrite,[status(thm)],[])).
% 54.84/35.04 tff(30647,plain,
% 54.84/35.04 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB159)) | v118(constB159))),
% 54.84/35.04 inference(quant_inst,[status(thm)],[])).
% 54.84/35.04 tff(30648,plain,
% 54.84/35.04 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB159)) | v118(constB159)),
% 54.84/35.04 inference(modus_ponens,[status(thm)],[30647, 30646])).
% 54.84/35.04 tff(30649,plain,
% 54.84/35.04 (v118(constB159)),
% 54.84/35.04 inference(unit_resolution,[status(thm)],[30648, 1425, 30645])).
% 54.84/35.04 tff(30650,plain,
% 54.84/35.04 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB159) | (~v118(constB159)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB159) | (~v118(constB159)))),
% 54.84/35.04 inference(rewrite,[status(thm)],[])).
% 54.84/35.04 tff(30651,plain,
% 54.84/35.04 (((~v118(constB159)) | v117(constB159)) <=> (v117(constB159) | (~v118(constB159)))),
% 54.84/35.04 inference(rewrite,[status(thm)],[])).
% 54.84/35.04 tff(30652,plain,
% 54.84/35.04 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB159)) | v117(constB159))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB159) | (~v118(constB159))))),
% 54.84/35.04 inference(monotonicity,[status(thm)],[30651])).
% 54.84/35.04 tff(30653,plain,
% 54.84/35.04 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB159)) | v117(constB159))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB159) | (~v118(constB159)))),
% 54.84/35.04 inference(transitivity,[status(thm)],[30652, 30650])).
% 54.84/35.04 tff(30654,plain,
% 54.84/35.04 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB159)) | v117(constB159))),
% 54.84/35.04 inference(quant_inst,[status(thm)],[])).
% 54.84/35.04 tff(30655,plain,
% 54.84/35.04 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB159) | (~v118(constB159))),
% 54.84/35.04 inference(modus_ponens,[status(thm)],[30654, 30653])).
% 54.84/35.04 tff(30656,plain,
% 54.84/35.04 (v117(constB159)),
% 54.84/35.04 inference(unit_resolution,[status(thm)],[30655, 993, 30649])).
% 54.84/35.04 tff(30657,plain,
% 54.84/35.04 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB159) | (~v117(constB159)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB159) | (~v117(constB159)))),
% 54.84/35.04 inference(rewrite,[status(thm)],[])).
% 54.84/35.04 tff(30658,plain,
% 54.84/35.04 (((~v117(constB159)) | v116(constB159)) <=> (v116(constB159) | (~v117(constB159)))),
% 54.84/35.04 inference(rewrite,[status(thm)],[])).
% 54.84/35.04 tff(30659,plain,
% 54.84/35.04 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB159)) | v116(constB159))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB159) | (~v117(constB159))))),
% 54.84/35.04 inference(monotonicity,[status(thm)],[30658])).
% 54.84/35.04 tff(30660,plain,
% 54.84/35.04 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB159)) | v116(constB159))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB159) | (~v117(constB159)))),
% 54.84/35.04 inference(transitivity,[status(thm)],[30659, 30657])).
% 54.84/35.04 tff(30661,plain,
% 54.84/35.04 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB159)) | v116(constB159))),
% 54.84/35.04 inference(quant_inst,[status(thm)],[])).
% 54.84/35.04 tff(30662,plain,
% 54.84/35.04 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB159) | (~v117(constB159))),
% 54.84/35.04 inference(modus_ponens,[status(thm)],[30661, 30660])).
% 54.84/35.04 tff(30663,plain,
% 54.84/35.04 (v116(constB159)),
% 54.84/35.04 inference(unit_resolution,[status(thm)],[30662, 1007, 30656])).
% 54.84/35.04 tff(30664,plain,
% 54.84/35.04 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB159) | (~v116(constB159)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB159) | (~v116(constB159)))),
% 54.84/35.04 inference(rewrite,[status(thm)],[])).
% 54.84/35.04 tff(30665,plain,
% 54.84/35.04 (((~v116(constB159)) | v115(constB159)) <=> (v115(constB159) | (~v116(constB159)))),
% 54.84/35.04 inference(rewrite,[status(thm)],[])).
% 54.84/35.04 tff(30666,plain,
% 54.84/35.04 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB159)) | v115(constB159))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB159) | (~v116(constB159))))),
% 54.84/35.04 inference(monotonicity,[status(thm)],[30665])).
% 54.84/35.04 tff(30667,plain,
% 54.84/35.04 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB159)) | v115(constB159))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB159) | (~v116(constB159)))),
% 54.84/35.04 inference(transitivity,[status(thm)],[30666, 30664])).
% 54.84/35.04 tff(30668,plain,
% 54.84/35.04 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB159)) | v115(constB159))),
% 54.84/35.04 inference(quant_inst,[status(thm)],[])).
% 54.84/35.04 tff(30669,plain,
% 54.84/35.04 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB159) | (~v116(constB159))),
% 54.84/35.04 inference(modus_ponens,[status(thm)],[30668, 30667])).
% 54.84/35.04 tff(30670,plain,
% 54.84/35.04 (v115(constB159)),
% 54.84/35.04 inference(unit_resolution,[status(thm)],[30669, 1021, 30663])).
% 54.84/35.04 tff(30671,plain,
% 54.84/35.04 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB159) | (~v115(constB159)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB159) | (~v115(constB159)))),
% 54.84/35.04 inference(rewrite,[status(thm)],[])).
% 54.84/35.04 tff(30672,plain,
% 54.84/35.04 (((~v115(constB159)) | v114(constB159)) <=> (v114(constB159) | (~v115(constB159)))),
% 54.84/35.04 inference(rewrite,[status(thm)],[])).
% 54.84/35.04 tff(30673,plain,
% 54.84/35.04 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB159)) | v114(constB159))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB159) | (~v115(constB159))))),
% 54.84/35.04 inference(monotonicity,[status(thm)],[30672])).
% 54.84/35.04 tff(30674,plain,
% 54.84/35.04 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB159)) | v114(constB159))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB159) | (~v115(constB159)))),
% 54.84/35.04 inference(transitivity,[status(thm)],[30673, 30671])).
% 54.84/35.04 tff(30675,plain,
% 54.84/35.04 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB159)) | v114(constB159))),
% 54.84/35.04 inference(quant_inst,[status(thm)],[])).
% 54.84/35.04 tff(30676,plain,
% 54.84/35.04 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB159) | (~v115(constB159))),
% 54.84/35.04 inference(modus_ponens,[status(thm)],[30675, 30674])).
% 54.84/35.04 tff(30677,plain,
% 54.84/35.04 (v114(constB159)),
% 54.84/35.04 inference(unit_resolution,[status(thm)],[30676, 1035, 30670])).
% 54.84/35.04 tff(30678,plain,
% 54.84/35.04 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB159)) | v113(constB159))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB159)) | v113(constB159))),
% 54.84/35.04 inference(rewrite,[status(thm)],[])).
% 54.84/35.04 tff(30679,plain,
% 54.84/35.04 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB159)) | v113(constB159))),
% 54.84/35.04 inference(quant_inst,[status(thm)],[])).
% 54.84/35.04 tff(30680,plain,
% 54.84/35.04 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB159)) | v113(constB159)),
% 54.84/35.04 inference(modus_ponens,[status(thm)],[30679, 30678])).
% 54.84/35.04 tff(30681,plain,
% 54.84/35.04 (v113(constB159)),
% 54.84/35.04 inference(unit_resolution,[status(thm)],[30680, 1049, 30677])).
% 54.84/35.04 tff(30682,assumption,(v26(constB159)), introduced(assumption)).
% 54.84/35.04 tff(30683,plain,
% 54.84/35.04 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB159))),
% 54.84/35.04 inference(quant_inst,[status(thm)],[])).
% 54.84/35.04 tff(30684,plain,
% 54.84/35.04 ($false),
% 54.84/35.04 inference(unit_resolution,[status(thm)],[30683, 828, 30682])).
% 54.84/35.04 tff(30685,plain,(~v26(constB159)), inference(lemma,lemma(discharge,[]))).
% 54.84/35.04 tff(30686,plain,
% 54.84/35.04 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB159) | (~v113(constB159)) | v112(constB159))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB159) | (~v113(constB159)) | v112(constB159))),
% 54.84/35.04 inference(rewrite,[status(thm)],[])).
% 54.84/35.04 tff(30687,plain,
% 54.84/35.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB159) | (~v113(constB159)) | v112(constB159))),
% 54.84/35.04 inference(quant_inst,[status(thm)],[])).
% 54.84/35.04 tff(30688,plain,
% 54.84/35.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB159) | (~v113(constB159)) | v112(constB159)),
% 54.84/35.04 inference(modus_ponens,[status(thm)],[30687, 30686])).
% 54.84/35.04 tff(30689,plain,
% 54.84/35.04 ((~v113(constB159)) | v112(constB159)),
% 54.84/35.04 inference(unit_resolution,[status(thm)],[30688, 1063, 30685])).
% 54.84/35.04 tff(30690,plain,
% 54.84/35.04 (v112(constB159)),
% 54.84/35.04 inference(unit_resolution,[status(thm)],[30689, 30681])).
% 54.84/35.04 tff(30691,plain,
% 54.84/35.04 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB159) | (~v112(constB159)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB159) | (~v112(constB159)))),
% 54.84/35.04 inference(rewrite,[status(thm)],[])).
% 54.84/35.04 tff(30692,plain,
% 54.84/35.04 (((~v112(constB159)) | v108(constB159)) <=> (v108(constB159) | (~v112(constB159)))),
% 54.84/35.04 inference(rewrite,[status(thm)],[])).
% 54.84/35.04 tff(30693,plain,
% 54.84/35.04 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB159)) | v108(constB159))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB159) | (~v112(constB159))))),
% 54.84/35.04 inference(monotonicity,[status(thm)],[30692])).
% 54.84/35.04 tff(30694,plain,
% 54.84/35.04 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB159)) | v108(constB159))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB159) | (~v112(constB159)))),
% 54.84/35.04 inference(transitivity,[status(thm)],[30693, 30691])).
% 54.84/35.04 tff(30695,plain,
% 54.84/35.04 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB159)) | v108(constB159))),
% 54.84/35.04 inference(quant_inst,[status(thm)],[])).
% 54.84/35.04 tff(30696,plain,
% 54.84/35.04 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB159) | (~v112(constB159))),
% 54.84/35.04 inference(modus_ponens,[status(thm)],[30695, 30694])).
% 54.84/35.04 tff(30697,plain,
% 54.84/35.04 (v108(constB159)),
% 54.84/35.04 inference(unit_resolution,[status(thm)],[30696, 1075, 30690])).
% 54.84/35.04 tff(30698,plain,
% 54.84/35.04 (nextState(constB159, constB160) <=> nextState(constB159, constB160)),
% 54.84/35.04 inference(rewrite,[status(thm)],[])).
% 54.84/35.04 tff(30699,axiom,(nextState(constB159, constB160)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_159_1')).
% 54.84/35.04 tff(30700,plain,
% 54.84/35.04 (nextState(constB159, constB160)),
% 54.84/35.04 inference(modus_ponens,[status(thm)],[30699, 30698])).
% 54.84/35.04 tff(30701,plain,
% 54.84/35.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159)))),
% 54.84/35.04 inference(rewrite,[status(thm)],[])).
% 54.84/35.04 tff(30702,plain,
% 54.84/35.04 (((~nextState(constB159, constB160)) | (~v108(constB159)) | v110(constB160)) <=> ((~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159)))),
% 54.84/35.04 inference(rewrite,[status(thm)],[])).
% 54.84/35.04 tff(30703,plain,
% 54.84/35.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB159, constB160)) | (~v108(constB159)) | v110(constB160))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159))))),
% 54.84/35.04 inference(monotonicity,[status(thm)],[30702])).
% 54.84/35.04 tff(30704,plain,
% 54.84/35.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB159, constB160)) | (~v108(constB159)) | v110(constB160))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159)))),
% 54.84/35.04 inference(transitivity,[status(thm)],[30703, 30701])).
% 54.84/35.04 tff(30705,plain,
% 54.84/35.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB159, constB160)) | (~v108(constB159)) | v110(constB160))),
% 54.84/35.04 inference(quant_inst,[status(thm)],[])).
% 54.84/35.04 tff(30706,plain,
% 54.84/35.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB159, constB160)) | v110(constB160) | (~v108(constB159))),
% 54.84/35.04 inference(modus_ponens,[status(thm)],[30705, 30704])).
% 54.84/35.04 tff(30707,plain,
% 54.84/35.04 (v110(constB160) | (~v108(constB159))),
% 54.84/35.04 inference(unit_resolution,[status(thm)],[30706, 1095, 30700])).
% 54.84/35.04 tff(30708,plain,
% 54.84/35.04 (v110(constB160)),
% 54.84/35.04 inference(unit_resolution,[status(thm)],[30707, 30697])).
% 54.84/35.04 tff(30709,plain,
% 54.84/35.04 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB159) | (~nextState(constB159, constB160)) | (~v104(constB160)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB159) | (~nextState(constB159, constB160)) | (~v104(constB160)))),
% 54.84/35.04 inference(rewrite,[status(thm)],[])).
% 54.84/35.04 tff(30710,plain,
% 54.84/35.04 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB159) | (~nextState(constB159, constB160)) | (~v104(constB160)))),
% 54.84/35.04 inference(quant_inst,[status(thm)],[])).
% 54.84/35.04 tff(30711,plain,
% 54.84/35.04 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB159) | (~nextState(constB159, constB160)) | (~v104(constB160))),
% 54.84/35.04 inference(modus_ponens,[status(thm)],[30710, 30709])).
% 54.84/35.04 tff(30712,plain,
% 54.84/35.04 (~v104(constB160)),
% 54.84/35.04 inference(unit_resolution,[status(thm)],[30711, 1113, 30700, 29267])).
% 54.84/35.04 tff(30713,plain,
% 54.84/35.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB159, constB160)) | v102(constB160) | v104(constB160))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB159, constB160)) | v102(constB160) | v104(constB160))),
% 54.84/35.04 inference(rewrite,[status(thm)],[])).
% 54.84/35.04 tff(30714,plain,
% 54.84/35.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB159, constB160)) | v102(constB160) | v104(constB160))),
% 54.84/35.04 inference(quant_inst,[status(thm)],[])).
% 54.84/35.04 tff(30715,plain,
% 54.84/35.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB159, constB160)) | v102(constB160) | v104(constB160)),
% 54.84/35.04 inference(modus_ponens,[status(thm)],[30714, 30713])).
% 54.84/35.04 tff(30716,plain,
% 54.84/35.04 (v102(constB160) | v104(constB160)),
% 54.84/35.04 inference(unit_resolution,[status(thm)],[30715, 1127, 30700])).
% 54.84/35.04 tff(30717,plain,
% 54.84/35.04 (v102(constB160)),
% 54.84/35.04 inference(unit_resolution,[status(thm)],[30716, 30712])).
% 54.84/35.04 tff(30718,plain,
% 54.84/35.04 (v1(constB160) <=> v1(constB160)),
% 54.84/35.04 inference(rewrite,[status(thm)],[])).
% 54.84/35.04 tff(30719,axiom,(v1(constB160)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_160_1')).
% 54.84/35.04 tff(30720,plain,
% 54.84/35.04 (v1(constB160)),
% 54.84/35.04 inference(modus_ponens,[status(thm)],[30719, 30718])).
% 54.84/35.04 tff(30721,plain,
% 54.84/35.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB159, constB160)) | v101(constB160) | (~v102(constB160)) | (~v1(constB160)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB159, constB160)) | v101(constB160) | (~v102(constB160)) | (~v1(constB160)))),
% 54.84/35.04 inference(rewrite,[status(thm)],[])).
% 54.84/35.04 tff(30722,plain,
% 54.84/35.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB159, constB160)) | v101(constB160) | (~v102(constB160)) | (~v1(constB160)))),
% 54.84/35.04 inference(quant_inst,[status(thm)],[])).
% 54.84/35.04 tff(30723,plain,
% 54.84/35.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB159, constB160)) | v101(constB160) | (~v102(constB160)) | (~v1(constB160))),
% 54.84/35.04 inference(modus_ponens,[status(thm)],[30722, 30721])).
% 54.84/35.04 tff(30724,plain,
% 54.84/35.04 (v101(constB160) | (~v102(constB160))),
% 54.84/35.04 inference(unit_resolution,[status(thm)],[30723, 1145, 30700, 30720])).
% 54.84/35.04 tff(30725,plain,
% 54.84/35.04 (v101(constB160)),
% 54.84/35.04 inference(unit_resolution,[status(thm)],[30724, 30717])).
% 54.84/35.04 tff(30726,plain,
% 54.84/35.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160)))),
% 54.84/35.04 inference(rewrite,[status(thm)],[])).
% 54.84/35.04 tff(30727,plain,
% 54.84/35.04 (((~nextState(constB159, constB160)) | (~v101(constB160)) | (~v110(constB160)) | v100(constB160)) <=> ((~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160)))),
% 54.84/35.04 inference(rewrite,[status(thm)],[])).
% 54.84/35.04 tff(30728,plain,
% 54.84/35.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB159, constB160)) | (~v101(constB160)) | (~v110(constB160)) | v100(constB160))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160))))),
% 54.84/35.04 inference(monotonicity,[status(thm)],[30727])).
% 54.84/35.04 tff(30729,plain,
% 54.84/35.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB159, constB160)) | (~v101(constB160)) | (~v110(constB160)) | v100(constB160))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160)))),
% 54.84/35.04 inference(transitivity,[status(thm)],[30728, 30726])).
% 54.84/35.04 tff(30730,plain,
% 54.84/35.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB159, constB160)) | (~v101(constB160)) | (~v110(constB160)) | v100(constB160))),
% 54.84/35.04 inference(quant_inst,[status(thm)],[])).
% 54.84/35.04 tff(30731,plain,
% 54.84/35.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB159, constB160)) | v100(constB160) | (~v101(constB160)) | (~v110(constB160))),
% 54.84/35.04 inference(modus_ponens,[status(thm)],[30730, 30729])).
% 54.84/35.04 tff(30732,plain,
% 54.84/35.04 (v100(constB160) | (~v101(constB160)) | (~v110(constB160))),
% 54.84/35.04 inference(unit_resolution,[status(thm)],[30731, 1160, 30700])).
% 54.84/35.04 tff(30733,plain,
% 54.84/35.04 (v100(constB160) | (~v110(constB160))),
% 54.84/35.04 inference(unit_resolution,[status(thm)],[30732, 30725])).
% 54.84/35.04 tff(30734,plain,
% 54.84/35.04 (v100(constB160)),
% 54.84/35.04 inference(unit_resolution,[status(thm)],[30733, 30708])).
% 54.84/35.04 tff(30735,plain,
% 54.84/35.04 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB159)) | (~v130(constB159, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB159)) | (~v130(constB159, 2)))),
% 54.84/35.04 inference(rewrite,[status(thm)],[])).
% 54.84/35.04 tff(30736,plain,
% 54.84/35.04 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB159)) | (~v130(constB159, 2)))),
% 54.84/35.04 inference(quant_inst,[status(thm)],[])).
% 54.84/35.04 tff(30737,plain,
% 54.84/35.04 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB159)) | (~v130(constB159, 2))),
% 54.84/35.04 inference(modus_ponens,[status(thm)],[30736, 30735])).
% 54.84/35.04 tff(30738,plain,
% 54.84/35.04 (~v130(constB159, 2)),
% 54.84/35.04 inference(unit_resolution,[status(thm)],[30737, 1523, 30645])).
% 54.84/35.04 tff(30739,plain,
% 54.84/35.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB159, 2)) | v26(constB159) | v130(constB159, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB159, 2)) | v26(constB159) | v130(constB159, 2))),
% 54.84/35.04 inference(rewrite,[status(thm)],[])).
% 54.84/35.04 tff(30740,plain,
% 54.84/35.04 ((v26(constB159) | v130(constB159, 2) | (~v127(constB159, 2))) <=> ((~v127(constB159, 2)) | v26(constB159) | v130(constB159, 2))),
% 54.84/35.04 inference(rewrite,[status(thm)],[])).
% 54.84/35.04 tff(30741,plain,
% 54.84/35.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB159) | v130(constB159, 2) | (~v127(constB159, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB159, 2)) | v26(constB159) | v130(constB159, 2)))),
% 54.84/35.04 inference(monotonicity,[status(thm)],[30740])).
% 54.84/35.04 tff(30742,plain,
% 54.84/35.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB159) | v130(constB159, 2) | (~v127(constB159, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB159, 2)) | v26(constB159) | v130(constB159, 2))),
% 54.84/35.04 inference(transitivity,[status(thm)],[30741, 30739])).
% 54.84/35.04 tff(30743,plain,
% 54.84/35.04 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB159) | v130(constB159, 2) | (~v127(constB159, 2)))),
% 54.84/35.04 inference(quant_inst,[status(thm)],[])).
% 54.84/35.04 tff(30744,plain,
% 54.84/35.04 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB159, 2)) | v26(constB159) | v130(constB159, 2)),
% 54.84/35.04 inference(modus_ponens,[status(thm)],[30743, 30742])).
% 54.84/35.04 tff(30745,plain,
% 54.84/35.04 ((~v127(constB159, 2)) | v130(constB159, 2)),
% 54.84/35.04 inference(unit_resolution,[status(thm)],[30744, 1190, 30685])).
% 54.84/35.04 tff(30746,plain,
% 54.84/35.04 (~v127(constB159, 2)),
% 54.84/35.04 inference(unit_resolution,[status(thm)],[30745, 30738])).
% 54.84/35.04 tff(30747,plain,
% 54.84/35.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB159, constB160)) | v127(constB159, 2) | (~v129(constB160, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB159, constB160)) | v127(constB159, 2) | (~v129(constB160, 2)))),
% 54.84/35.04 inference(rewrite,[status(thm)],[])).
% 54.84/35.04 tff(30748,plain,
% 54.84/35.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB159, constB160)) | v127(constB159, 2) | (~v129(constB160, 2)))),
% 54.84/35.04 inference(quant_inst,[status(thm)],[])).
% 54.84/35.04 tff(30749,plain,
% 54.84/35.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB159, constB160)) | v127(constB159, 2) | (~v129(constB160, 2))),
% 54.84/35.04 inference(modus_ponens,[status(thm)],[30748, 30747])).
% 54.84/35.04 tff(30750,plain,
% 54.84/35.04 (v127(constB159, 2) | (~v129(constB160, 2))),
% 54.84/35.04 inference(unit_resolution,[status(thm)],[30749, 1208, 30700])).
% 54.84/35.04 tff(30751,plain,
% 54.84/35.04 (~v129(constB160, 2)),
% 54.84/35.04 inference(unit_resolution,[status(thm)],[30750, 30746])).
% 54.84/35.04 tff(30752,plain,
% 54.84/35.04 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB160, 2)) | v129(constB160, 2) | (~v100(constB160)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB160, 2)) | v129(constB160, 2) | (~v100(constB160)))),
% 54.84/35.04 inference(rewrite,[status(thm)],[])).
% 54.84/35.04 tff(30753,plain,
% 54.84/35.04 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB160, 2)) | v129(constB160, 2) | (~v100(constB160)))),
% 54.84/35.04 inference(quant_inst,[status(thm)],[])).
% 54.84/35.04 tff(30754,plain,
% 54.84/35.04 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB160, 2)) | v129(constB160, 2) | (~v100(constB160))),
% 54.84/35.04 inference(modus_ponens,[status(thm)],[30753, 30752])).
% 54.84/35.04 tff(30755,plain,
% 54.84/35.04 ((~v90(constB160, 2)) | (~v100(constB160))),
% 54.84/35.04 inference(unit_resolution,[status(thm)],[30754, 1223, 30751])).
% 54.84/35.04 tff(30756,plain,
% 54.84/35.04 (~v90(constB160, 2)),
% 54.84/35.04 inference(unit_resolution,[status(thm)],[30755, 30734])).
% 54.84/35.04 tff(30757,plain,
% 54.84/35.04 ((~v1(constB161)) <=> (~v1(constB161))),
% 54.84/35.04 inference(rewrite,[status(thm)],[])).
% 54.84/35.04 tff(30758,axiom,(~v1(constB161)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_161_1_1')).
% 54.84/35.04 tff(30759,plain,
% 54.84/35.04 (~v1(constB161)),
% 54.84/35.04 inference(modus_ponens,[status(thm)],[30758, 30757])).
% 54.84/35.04 tff(30760,plain,
% 54.84/35.04 (nextState(constB160, constB161) <=> nextState(constB160, constB161)),
% 54.84/35.04 inference(rewrite,[status(thm)],[])).
% 54.84/35.04 tff(30761,axiom,(nextState(constB160, constB161)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_160_1')).
% 54.84/35.04 tff(30762,plain,
% 54.84/35.04 (nextState(constB160, constB161)),
% 54.84/35.04 inference(modus_ponens,[status(thm)],[30761, 30760])).
% 54.84/35.04 tff(30763,plain,
% 54.84/35.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161)))),
% 54.84/35.04 inference(rewrite,[status(thm)],[])).
% 54.84/35.04 tff(30764,plain,
% 54.84/35.04 (((~nextState(constB160, constB161)) | (~v101(constB161)) | v1(constB161)) <=> (v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161)))),
% 54.84/35.04 inference(rewrite,[status(thm)],[])).
% 54.84/35.04 tff(30765,plain,
% 54.84/35.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB160, constB161)) | (~v101(constB161)) | v1(constB161))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161))))),
% 54.84/35.04 inference(monotonicity,[status(thm)],[30764])).
% 54.84/35.04 tff(30766,plain,
% 54.84/35.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB160, constB161)) | (~v101(constB161)) | v1(constB161))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161)))),
% 54.84/35.04 inference(transitivity,[status(thm)],[30765, 30763])).
% 54.84/35.04 tff(30767,plain,
% 54.84/35.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB160, constB161)) | (~v101(constB161)) | v1(constB161))),
% 54.84/35.04 inference(quant_inst,[status(thm)],[])).
% 54.84/35.04 tff(30768,plain,
% 54.84/35.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB161) | (~nextState(constB160, constB161)) | (~v101(constB161))),
% 54.84/35.04 inference(modus_ponens,[status(thm)],[30767, 30766])).
% 54.84/35.04 tff(30769,plain,
% 54.84/35.04 (~v101(constB161)),
% 54.84/35.04 inference(unit_resolution,[status(thm)],[30768, 873, 30762, 30759])).
% 54.84/35.04 tff(30770,plain,
% 54.84/35.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB160, constB161)) | v101(constB161) | (~v100(constB161)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB160, constB161)) | v101(constB161) | (~v100(constB161)))),
% 54.84/35.04 inference(rewrite,[status(thm)],[])).
% 54.84/35.04 tff(30771,plain,
% 54.84/35.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB160, constB161)) | v101(constB161) | (~v100(constB161)))),
% 54.84/35.04 inference(quant_inst,[status(thm)],[])).
% 54.84/35.04 tff(30772,plain,
% 54.84/35.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB160, constB161)) | v101(constB161) | (~v100(constB161))),
% 54.84/35.04 inference(modus_ponens,[status(thm)],[30771, 30770])).
% 54.84/35.04 tff(30773,plain,
% 54.84/35.04 (v101(constB161) | (~v100(constB161))),
% 54.84/35.04 inference(unit_resolution,[status(thm)],[30772, 890, 30762])).
% 54.84/35.04 tff(30774,plain,
% 54.84/35.04 (~v100(constB161)),
% 54.84/35.04 inference(unit_resolution,[status(thm)],[30773, 30769])).
% 54.84/35.04 tff(30775,plain,
% 54.84/35.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB160, 2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB160, 2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 2)))),
% 54.84/35.04 inference(rewrite,[status(thm)],[])).
% 54.84/35.04 tff(30776,plain,
% 54.84/35.04 (((~nextState(constB160, constB161)) | v90(constB160, 2) | v100(constB161) | (~v90(constB161, 2))) <=> (v90(constB160, 2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 2)))),
% 54.84/35.04 inference(rewrite,[status(thm)],[])).
% 54.84/35.04 tff(30777,plain,
% 54.84/35.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB160, constB161)) | v90(constB160, 2) | v100(constB161) | (~v90(constB161, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB160, 2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 2))))),
% 54.84/35.04 inference(monotonicity,[status(thm)],[30776])).
% 54.84/35.04 tff(30778,plain,
% 54.84/35.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB160, constB161)) | v90(constB160, 2) | v100(constB161) | (~v90(constB161, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB160, 2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 2)))),
% 54.84/35.04 inference(transitivity,[status(thm)],[30777, 30775])).
% 54.84/35.04 tff(30779,plain,
% 54.84/35.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB160, constB161)) | v90(constB160, 2) | v100(constB161) | (~v90(constB161, 2)))),
% 54.84/35.04 inference(quant_inst,[status(thm)],[])).
% 54.84/35.04 tff(30780,plain,
% 54.84/35.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB160, 2) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 2))),
% 54.84/35.04 inference(modus_ponens,[status(thm)],[30779, 30778])).
% 54.84/35.04 tff(30781,plain,
% 54.84/35.04 (v90(constB160, 2) | v100(constB161) | (~v90(constB161, 2))),
% 54.84/35.04 inference(unit_resolution,[status(thm)],[30780, 905, 30762])).
% 54.84/35.04 tff(30782,plain,
% 54.84/35.04 (v90(constB160, 2) | (~v90(constB161, 2))),
% 54.84/35.04 inference(unit_resolution,[status(thm)],[30781, 30774])).
% 54.84/35.04 tff(30783,plain,
% 54.84/35.04 (~v90(constB161, 2)),
% 54.84/35.04 inference(unit_resolution,[status(thm)],[30782, 30756])).
% 54.84/35.04 tff(30784,plain,
% 54.84/35.04 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB159)) | v130(constB159, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB159)) | v130(constB159, 1))),
% 54.84/35.04 inference(rewrite,[status(thm)],[])).
% 54.84/35.04 tff(30785,plain,
% 54.84/35.04 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB159)) | v130(constB159, 1))),
% 54.84/35.04 inference(quant_inst,[status(thm)],[])).
% 54.84/35.04 tff(30786,plain,
% 54.84/35.04 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB159)) | v130(constB159, 1)),
% 54.84/35.04 inference(modus_ponens,[status(thm)],[30785, 30784])).
% 54.84/35.04 tff(30787,plain,
% 54.84/35.04 (v130(constB159, 1)),
% 54.84/35.04 inference(unit_resolution,[status(thm)],[30786, 1579, 30645])).
% 54.84/35.04 tff(30788,plain,
% 54.84/35.04 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB159) | (~v130(constB159, 1)) | v127(constB159, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB159) | (~v130(constB159, 1)) | v127(constB159, 1))),
% 54.84/35.04 inference(rewrite,[status(thm)],[])).
% 54.84/35.04 tff(30789,plain,
% 54.84/35.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB159) | (~v130(constB159, 1)) | v127(constB159, 1))),
% 54.84/35.04 inference(quant_inst,[status(thm)],[])).
% 54.84/35.04 tff(30790,plain,
% 54.84/35.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB159) | (~v130(constB159, 1)) | v127(constB159, 1)),
% 54.84/35.04 inference(modus_ponens,[status(thm)],[30789, 30788])).
% 54.84/35.04 tff(30791,plain,
% 54.84/35.04 ((~v130(constB159, 1)) | v127(constB159, 1)),
% 54.84/35.04 inference(unit_resolution,[status(thm)],[30790, 1593, 30685])).
% 54.84/35.04 tff(30792,plain,
% 54.84/35.04 (v127(constB159, 1)),
% 54.84/35.04 inference(unit_resolution,[status(thm)],[30791, 30787])).
% 54.84/35.04 tff(30793,plain,
% 54.84/35.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB159, constB160)) | (~v127(constB159, 1)) | v129(constB160, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB159, constB160)) | (~v127(constB159, 1)) | v129(constB160, 1))),
% 54.84/35.04 inference(rewrite,[status(thm)],[])).
% 54.84/35.04 tff(30794,plain,
% 54.84/35.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB159, constB160)) | (~v127(constB159, 1)) | v129(constB160, 1))),
% 54.84/35.04 inference(quant_inst,[status(thm)],[])).
% 54.84/35.04 tff(30795,plain,
% 54.84/35.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB159, constB160)) | (~v127(constB159, 1)) | v129(constB160, 1)),
% 54.84/35.04 inference(modus_ponens,[status(thm)],[30794, 30793])).
% 54.84/35.04 tff(30796,plain,
% 54.84/35.04 ((~v127(constB159, 1)) | v129(constB160, 1)),
% 54.84/35.04 inference(unit_resolution,[status(thm)],[30795, 1608, 30700])).
% 54.84/35.04 tff(30797,plain,
% 54.84/35.04 (v129(constB160, 1)),
% 54.84/35.04 inference(unit_resolution,[status(thm)],[30796, 30792])).
% 54.84/35.04 tff(30798,plain,
% 54.84/35.04 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB160, 1) | (~v129(constB160, 1)) | (~v100(constB160)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB160, 1) | (~v129(constB160, 1)) | (~v100(constB160)))),
% 54.84/35.04 inference(rewrite,[status(thm)],[])).
% 54.84/35.04 tff(30799,plain,
% 54.84/35.04 ((v90(constB160, 1) | (~v100(constB160)) | (~v129(constB160, 1))) <=> (v90(constB160, 1) | (~v129(constB160, 1)) | (~v100(constB160)))),
% 54.84/35.04 inference(rewrite,[status(thm)],[])).
% 54.84/35.04 tff(30800,plain,
% 54.84/35.04 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB160, 1) | (~v100(constB160)) | (~v129(constB160, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB160, 1) | (~v129(constB160, 1)) | (~v100(constB160))))),
% 54.84/35.04 inference(monotonicity,[status(thm)],[30799])).
% 54.84/35.04 tff(30801,plain,
% 54.84/35.04 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB160, 1) | (~v100(constB160)) | (~v129(constB160, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB160, 1) | (~v129(constB160, 1)) | (~v100(constB160)))),
% 54.84/35.04 inference(transitivity,[status(thm)],[30800, 30798])).
% 54.84/35.04 tff(30802,plain,
% 54.84/35.04 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB160, 1) | (~v100(constB160)) | (~v129(constB160, 1)))),
% 54.84/35.04 inference(quant_inst,[status(thm)],[])).
% 54.84/35.04 tff(30803,plain,
% 54.84/35.04 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB160, 1) | (~v129(constB160, 1)) | (~v100(constB160))),
% 54.84/35.04 inference(modus_ponens,[status(thm)],[30802, 30801])).
% 54.84/35.04 tff(30804,plain,
% 54.84/35.04 (v90(constB160, 1) | (~v100(constB160))),
% 54.84/35.04 inference(unit_resolution,[status(thm)],[30803, 1623, 30797])).
% 54.84/35.04 tff(30805,plain,
% 54.84/35.04 (v90(constB160, 1)),
% 54.84/35.04 inference(unit_resolution,[status(thm)],[30804, 30734])).
% 54.84/35.04 tff(30806,plain,
% 54.84/35.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB160, 1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB160, 1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, 1))),
% 54.84/35.04 inference(rewrite,[status(thm)],[])).
% 54.84/35.04 tff(30807,plain,
% 54.84/35.04 (((~nextState(constB160, constB161)) | (~v90(constB160, 1)) | v100(constB161) | v90(constB161, 1)) <=> ((~v90(constB160, 1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, 1))),
% 54.84/35.04 inference(rewrite,[status(thm)],[])).
% 54.84/35.04 tff(30808,plain,
% 54.84/35.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB160, constB161)) | (~v90(constB160, 1)) | v100(constB161) | v90(constB161, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB160, 1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, 1)))),
% 54.84/35.04 inference(monotonicity,[status(thm)],[30807])).
% 54.84/35.04 tff(30809,plain,
% 54.84/35.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB160, constB161)) | (~v90(constB160, 1)) | v100(constB161) | v90(constB161, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB160, 1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, 1))),
% 54.84/35.04 inference(transitivity,[status(thm)],[30808, 30806])).
% 54.84/35.04 tff(30810,plain,
% 54.84/35.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB160, constB161)) | (~v90(constB160, 1)) | v100(constB161) | v90(constB161, 1))),
% 54.84/35.04 inference(quant_inst,[status(thm)],[])).
% 54.84/35.04 tff(30811,plain,
% 54.84/35.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB160, 1)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, 1)),
% 54.84/35.04 inference(modus_ponens,[status(thm)],[30810, 30809])).
% 54.84/35.04 tff(30812,plain,
% 54.84/35.04 ((~v90(constB160, 1)) | v100(constB161) | v90(constB161, 1)),
% 54.84/35.04 inference(unit_resolution,[status(thm)],[30811, 1641, 30762])).
% 54.84/35.04 tff(30813,plain,
% 54.84/35.04 ((~v90(constB160, 1)) | v90(constB161, 1)),
% 54.84/35.04 inference(unit_resolution,[status(thm)],[30812, 30774])).
% 54.84/35.04 tff(30814,plain,
% 54.84/35.04 (v90(constB161, 1)),
% 54.84/35.04 inference(unit_resolution,[status(thm)],[30813, 30805])).
% 54.84/35.04 tff(30815,plain,
% 54.84/35.04 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB159)) | (~v130(constB159, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB159)) | (~v130(constB159, 0)))),
% 54.84/35.04 inference(rewrite,[status(thm)],[])).
% 54.84/35.04 tff(30816,plain,
% 54.84/35.04 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB159)) | (~v130(constB159, 0)))),
% 54.84/35.04 inference(quant_inst,[status(thm)],[])).
% 54.84/35.04 tff(30817,plain,
% 54.84/35.04 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB159)) | (~v130(constB159, 0))),
% 54.84/35.04 inference(modus_ponens,[status(thm)],[30816, 30815])).
% 54.84/35.04 tff(30818,plain,
% 54.84/35.04 (~v130(constB159, 0)),
% 54.84/35.04 inference(unit_resolution,[status(thm)],[30817, 1657, 30645])).
% 54.84/35.04 tff(30819,plain,
% 54.84/35.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB159, 0)) | v26(constB159) | v130(constB159, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB159, 0)) | v26(constB159) | v130(constB159, 0))),
% 54.84/35.04 inference(rewrite,[status(thm)],[])).
% 54.84/35.04 tff(30820,plain,
% 54.84/35.04 ((v26(constB159) | v130(constB159, 0) | (~v127(constB159, 0))) <=> ((~v127(constB159, 0)) | v26(constB159) | v130(constB159, 0))),
% 54.84/35.05 inference(rewrite,[status(thm)],[])).
% 54.84/35.05 tff(30821,plain,
% 54.84/35.05 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB159) | v130(constB159, 0) | (~v127(constB159, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB159, 0)) | v26(constB159) | v130(constB159, 0)))),
% 54.84/35.05 inference(monotonicity,[status(thm)],[30820])).
% 54.84/35.05 tff(30822,plain,
% 54.84/35.05 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB159) | v130(constB159, 0) | (~v127(constB159, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB159, 0)) | v26(constB159) | v130(constB159, 0))),
% 54.84/35.05 inference(transitivity,[status(thm)],[30821, 30819])).
% 54.84/35.05 tff(30823,plain,
% 54.84/35.05 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB159) | v130(constB159, 0) | (~v127(constB159, 0)))),
% 54.84/35.05 inference(quant_inst,[status(thm)],[])).
% 54.84/35.05 tff(30824,plain,
% 54.84/35.05 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB159, 0)) | v26(constB159) | v130(constB159, 0)),
% 54.84/35.05 inference(modus_ponens,[status(thm)],[30823, 30822])).
% 54.84/35.05 tff(30825,plain,
% 54.84/35.05 ((~v127(constB159, 0)) | v130(constB159, 0)),
% 54.84/35.05 inference(unit_resolution,[status(thm)],[30824, 1671, 30685])).
% 54.84/35.05 tff(30826,plain,
% 54.84/35.05 (~v127(constB159, 0)),
% 54.84/35.05 inference(unit_resolution,[status(thm)],[30825, 30818])).
% 54.84/35.05 tff(30827,plain,
% 54.84/35.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB159, constB160)) | v127(constB159, 0) | (~v129(constB160, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB159, constB160)) | v127(constB159, 0) | (~v129(constB160, 0)))),
% 54.84/35.05 inference(rewrite,[status(thm)],[])).
% 54.84/35.05 tff(30828,plain,
% 54.84/35.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB159, constB160)) | v127(constB159, 0) | (~v129(constB160, 0)))),
% 54.84/35.05 inference(quant_inst,[status(thm)],[])).
% 54.84/35.05 tff(30829,plain,
% 54.84/35.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB159, constB160)) | v127(constB159, 0) | (~v129(constB160, 0))),
% 54.84/35.05 inference(modus_ponens,[status(thm)],[30828, 30827])).
% 54.84/35.05 tff(30830,plain,
% 54.84/35.05 (v127(constB159, 0) | (~v129(constB160, 0))),
% 54.84/35.05 inference(unit_resolution,[status(thm)],[30829, 1689, 30700])).
% 54.84/35.05 tff(30831,plain,
% 54.84/35.05 (~v129(constB160, 0)),
% 54.84/35.05 inference(unit_resolution,[status(thm)],[30830, 30826])).
% 54.84/35.05 tff(30832,plain,
% 54.84/35.05 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB160, 0)) | v129(constB160, 0) | (~v100(constB160)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB160, 0)) | v129(constB160, 0) | (~v100(constB160)))),
% 54.84/35.05 inference(rewrite,[status(thm)],[])).
% 54.84/35.05 tff(30833,plain,
% 54.84/35.05 (((~v90(constB160, 0)) | (~v100(constB160)) | v129(constB160, 0)) <=> ((~v90(constB160, 0)) | v129(constB160, 0) | (~v100(constB160)))),
% 54.84/35.05 inference(rewrite,[status(thm)],[])).
% 54.84/35.05 tff(30834,plain,
% 54.84/35.05 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB160, 0)) | (~v100(constB160)) | v129(constB160, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB160, 0)) | v129(constB160, 0) | (~v100(constB160))))),
% 54.84/35.05 inference(monotonicity,[status(thm)],[30833])).
% 54.84/35.05 tff(30835,plain,
% 54.84/35.05 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB160, 0)) | (~v100(constB160)) | v129(constB160, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB160, 0)) | v129(constB160, 0) | (~v100(constB160)))),
% 54.84/35.05 inference(transitivity,[status(thm)],[30834, 30832])).
% 54.84/35.05 tff(30836,plain,
% 54.84/35.05 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB160, 0)) | (~v100(constB160)) | v129(constB160, 0))),
% 54.84/35.05 inference(quant_inst,[status(thm)],[])).
% 54.84/35.05 tff(30837,plain,
% 54.84/35.05 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB160, 0)) | v129(constB160, 0) | (~v100(constB160))),
% 54.84/35.05 inference(modus_ponens,[status(thm)],[30836, 30835])).
% 54.84/35.05 tff(30838,plain,
% 54.84/35.05 ((~v90(constB160, 0)) | (~v100(constB160))),
% 54.84/35.05 inference(unit_resolution,[status(thm)],[30837, 1704, 30831])).
% 54.84/35.05 tff(30839,plain,
% 54.84/35.05 (~v90(constB160, 0)),
% 54.84/35.05 inference(unit_resolution,[status(thm)],[30838, 30734])).
% 54.84/35.05 tff(30840,plain,
% 54.84/35.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB160, 0) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB160, 0) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 0)))),
% 54.84/35.05 inference(rewrite,[status(thm)],[])).
% 54.84/35.05 tff(30841,plain,
% 54.84/35.05 (((~nextState(constB160, constB161)) | v90(constB160, 0) | v100(constB161) | (~v90(constB161, 0))) <=> (v90(constB160, 0) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 0)))),
% 54.84/35.05 inference(rewrite,[status(thm)],[])).
% 54.84/35.05 tff(30842,plain,
% 54.84/35.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB160, constB161)) | v90(constB160, 0) | v100(constB161) | (~v90(constB161, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB160, 0) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 0))))),
% 54.84/35.05 inference(monotonicity,[status(thm)],[30841])).
% 54.84/35.05 tff(30843,plain,
% 54.84/35.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB160, constB161)) | v90(constB160, 0) | v100(constB161) | (~v90(constB161, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB160, 0) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 0)))),
% 54.84/35.05 inference(transitivity,[status(thm)],[30842, 30840])).
% 54.84/35.05 tff(30844,plain,
% 54.84/35.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB160, constB161)) | v90(constB160, 0) | v100(constB161) | (~v90(constB161, 0)))),
% 54.84/35.05 inference(quant_inst,[status(thm)],[])).
% 54.84/35.05 tff(30845,plain,
% 54.84/35.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB160, 0) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 0))),
% 54.84/35.05 inference(modus_ponens,[status(thm)],[30844, 30843])).
% 54.84/35.05 tff(30846,plain,
% 54.84/35.05 (v90(constB160, 0) | v100(constB161) | (~v90(constB161, 0))),
% 54.84/35.05 inference(unit_resolution,[status(thm)],[30845, 947, 30762])).
% 54.84/35.05 tff(30847,plain,
% 54.84/35.05 (v90(constB160, 0) | (~v90(constB161, 0))),
% 54.84/35.05 inference(unit_resolution,[status(thm)],[30846, 30774])).
% 54.84/35.05 tff(30848,plain,
% 54.84/35.05 (~v90(constB161, 0)),
% 54.84/35.05 inference(unit_resolution,[status(thm)],[30847, 30839])).
% 54.84/35.05 tff(30849,plain,
% 54.84/35.05 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB161, 0) | (~v90(constB161, 1)) | v90(constB161, 2) | v121(constB161))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB161, 0) | (~v90(constB161, 1)) | v90(constB161, 2) | v121(constB161))),
% 54.84/35.05 inference(rewrite,[status(thm)],[])).
% 54.84/35.05 tff(30850,plain,
% 54.84/35.05 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB161, 0) | (~v90(constB161, 1)) | v90(constB161, 2) | v121(constB161))),
% 54.84/35.05 inference(quant_inst,[status(thm)],[])).
% 54.84/35.05 tff(30851,plain,
% 54.84/35.05 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB161, 0) | (~v90(constB161, 1)) | v90(constB161, 2) | v121(constB161)),
% 54.84/35.05 inference(modus_ponens,[status(thm)],[30850, 30849])).
% 54.84/35.05 tff(30852,plain,
% 54.84/35.05 (v121(constB161)),
% 54.84/35.05 inference(unit_resolution,[status(thm)],[30851, 1731, 30848, 30814, 30783])).
% 54.84/35.05 tff(30853,plain,
% 54.84/35.05 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB161) | (~v121(constB161)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB161) | (~v121(constB161)))),
% 54.84/35.05 inference(rewrite,[status(thm)],[])).
% 54.84/35.05 tff(30854,plain,
% 54.84/35.05 (((~v121(constB161)) | v117(constB161)) <=> (v117(constB161) | (~v121(constB161)))),
% 54.84/35.05 inference(rewrite,[status(thm)],[])).
% 54.84/35.05 tff(30855,plain,
% 54.84/35.05 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB161)) | v117(constB161))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB161) | (~v121(constB161))))),
% 54.84/35.05 inference(monotonicity,[status(thm)],[30854])).
% 54.84/35.05 tff(30856,plain,
% 54.84/35.05 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB161)) | v117(constB161))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB161) | (~v121(constB161)))),
% 54.84/35.05 inference(transitivity,[status(thm)],[30855, 30853])).
% 54.84/35.05 tff(30857,plain,
% 54.84/35.05 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB161)) | v117(constB161))),
% 54.84/35.05 inference(quant_inst,[status(thm)],[])).
% 54.84/35.05 tff(30858,plain,
% 54.84/35.05 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB161) | (~v121(constB161))),
% 54.84/35.05 inference(modus_ponens,[status(thm)],[30857, 30856])).
% 54.84/35.05 tff(30859,plain,
% 54.84/35.05 (v117(constB161)),
% 54.84/35.05 inference(unit_resolution,[status(thm)],[30858, 1742, 30852])).
% 54.84/35.05 tff(30860,plain,
% 54.84/35.05 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB161) | (~v117(constB161)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB161) | (~v117(constB161)))),
% 54.84/35.05 inference(rewrite,[status(thm)],[])).
% 54.84/35.05 tff(30861,plain,
% 54.84/35.05 (((~v117(constB161)) | v116(constB161)) <=> (v116(constB161) | (~v117(constB161)))),
% 54.84/35.05 inference(rewrite,[status(thm)],[])).
% 54.84/35.05 tff(30862,plain,
% 54.84/35.05 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB161)) | v116(constB161))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB161) | (~v117(constB161))))),
% 54.84/35.05 inference(monotonicity,[status(thm)],[30861])).
% 54.84/35.05 tff(30863,plain,
% 54.84/35.05 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB161)) | v116(constB161))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB161) | (~v117(constB161)))),
% 54.84/35.05 inference(transitivity,[status(thm)],[30862, 30860])).
% 54.84/35.05 tff(30864,plain,
% 54.84/35.05 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB161)) | v116(constB161))),
% 54.84/35.05 inference(quant_inst,[status(thm)],[])).
% 54.84/35.05 tff(30865,plain,
% 54.84/35.05 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB161) | (~v117(constB161))),
% 54.84/35.05 inference(modus_ponens,[status(thm)],[30864, 30863])).
% 54.84/35.05 tff(30866,plain,
% 54.84/35.05 (v116(constB161)),
% 54.84/35.05 inference(unit_resolution,[status(thm)],[30865, 1007, 30859])).
% 54.84/35.05 tff(30867,plain,
% 54.84/35.05 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB161) | (~v116(constB161)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB161) | (~v116(constB161)))),
% 54.84/35.05 inference(rewrite,[status(thm)],[])).
% 54.84/35.05 tff(30868,plain,
% 54.84/35.05 (((~v116(constB161)) | v115(constB161)) <=> (v115(constB161) | (~v116(constB161)))),
% 54.84/35.05 inference(rewrite,[status(thm)],[])).
% 54.84/35.05 tff(30869,plain,
% 54.84/35.05 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB161)) | v115(constB161))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB161) | (~v116(constB161))))),
% 54.84/35.05 inference(monotonicity,[status(thm)],[30868])).
% 54.84/35.05 tff(30870,plain,
% 54.84/35.05 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB161)) | v115(constB161))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB161) | (~v116(constB161)))),
% 54.84/35.05 inference(transitivity,[status(thm)],[30869, 30867])).
% 54.84/35.05 tff(30871,plain,
% 54.84/35.05 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB161)) | v115(constB161))),
% 54.84/35.05 inference(quant_inst,[status(thm)],[])).
% 54.84/35.05 tff(30872,plain,
% 54.84/35.05 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB161) | (~v116(constB161))),
% 54.84/35.05 inference(modus_ponens,[status(thm)],[30871, 30870])).
% 54.84/35.05 tff(30873,plain,
% 54.84/35.05 (v115(constB161)),
% 54.84/35.05 inference(unit_resolution,[status(thm)],[30872, 1021, 30866])).
% 54.84/35.05 tff(30874,plain,
% 54.84/35.05 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB161) | (~v115(constB161)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB161) | (~v115(constB161)))),
% 54.84/35.05 inference(rewrite,[status(thm)],[])).
% 54.84/35.05 tff(30875,plain,
% 54.84/35.05 (((~v115(constB161)) | v114(constB161)) <=> (v114(constB161) | (~v115(constB161)))),
% 54.84/35.05 inference(rewrite,[status(thm)],[])).
% 54.84/35.05 tff(30876,plain,
% 54.84/35.05 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB161)) | v114(constB161))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB161) | (~v115(constB161))))),
% 54.84/35.05 inference(monotonicity,[status(thm)],[30875])).
% 54.84/35.05 tff(30877,plain,
% 54.84/35.05 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB161)) | v114(constB161))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB161) | (~v115(constB161)))),
% 54.84/35.05 inference(transitivity,[status(thm)],[30876, 30874])).
% 54.84/35.05 tff(30878,plain,
% 54.84/35.05 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB161)) | v114(constB161))),
% 54.84/35.05 inference(quant_inst,[status(thm)],[])).
% 54.84/35.05 tff(30879,plain,
% 54.84/35.05 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB161) | (~v115(constB161))),
% 54.84/35.05 inference(modus_ponens,[status(thm)],[30878, 30877])).
% 54.84/35.05 tff(30880,plain,
% 54.84/35.05 (v114(constB161)),
% 54.84/35.05 inference(unit_resolution,[status(thm)],[30879, 1035, 30873])).
% 54.84/35.05 tff(30881,plain,
% 54.84/35.05 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB161) | (~v114(constB161)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB161) | (~v114(constB161)))),
% 54.84/35.05 inference(rewrite,[status(thm)],[])).
% 54.84/35.05 tff(30882,plain,
% 54.84/35.05 (((~v114(constB161)) | v113(constB161)) <=> (v113(constB161) | (~v114(constB161)))),
% 54.84/35.05 inference(rewrite,[status(thm)],[])).
% 54.84/35.05 tff(30883,plain,
% 54.84/35.05 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB161)) | v113(constB161))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB161) | (~v114(constB161))))),
% 54.84/35.05 inference(monotonicity,[status(thm)],[30882])).
% 54.84/35.05 tff(30884,plain,
% 54.84/35.05 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB161)) | v113(constB161))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB161) | (~v114(constB161)))),
% 54.84/35.05 inference(transitivity,[status(thm)],[30883, 30881])).
% 54.84/35.05 tff(30885,plain,
% 54.84/35.05 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB161)) | v113(constB161))),
% 54.84/35.05 inference(quant_inst,[status(thm)],[])).
% 54.84/35.05 tff(30886,plain,
% 54.84/35.05 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB161) | (~v114(constB161))),
% 54.84/35.05 inference(modus_ponens,[status(thm)],[30885, 30884])).
% 54.84/35.05 tff(30887,plain,
% 54.84/35.05 (v113(constB161)),
% 54.84/35.05 inference(unit_resolution,[status(thm)],[30886, 1049, 30880])).
% 54.84/35.05 tff(30888,assumption,(v26(constB161)), introduced(assumption)).
% 54.84/35.05 tff(30889,plain,
% 54.84/35.05 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB161))),
% 54.84/35.05 inference(quant_inst,[status(thm)],[])).
% 54.84/35.05 tff(30890,plain,
% 54.84/35.05 ($false),
% 54.84/35.05 inference(unit_resolution,[status(thm)],[30889, 828, 30888])).
% 54.84/35.05 tff(30891,plain,(~v26(constB161)), inference(lemma,lemma(discharge,[]))).
% 54.84/35.05 tff(30892,plain,
% 54.84/35.05 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB161) | v112(constB161) | (~v113(constB161)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB161) | v112(constB161) | (~v113(constB161)))),
% 54.84/35.05 inference(rewrite,[status(thm)],[])).
% 54.84/35.05 tff(30893,plain,
% 54.84/35.05 ((v26(constB161) | (~v113(constB161)) | v112(constB161)) <=> (v26(constB161) | v112(constB161) | (~v113(constB161)))),
% 54.84/35.05 inference(rewrite,[status(thm)],[])).
% 54.84/35.05 tff(30894,plain,
% 54.84/35.05 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB161) | (~v113(constB161)) | v112(constB161))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB161) | v112(constB161) | (~v113(constB161))))),
% 54.84/35.05 inference(monotonicity,[status(thm)],[30893])).
% 54.84/35.05 tff(30895,plain,
% 54.84/35.05 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB161) | (~v113(constB161)) | v112(constB161))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB161) | v112(constB161) | (~v113(constB161)))),
% 54.84/35.05 inference(transitivity,[status(thm)],[30894, 30892])).
% 54.84/35.05 tff(30896,plain,
% 54.84/35.05 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB161) | (~v113(constB161)) | v112(constB161))),
% 54.84/35.05 inference(quant_inst,[status(thm)],[])).
% 54.84/35.05 tff(30897,plain,
% 54.84/35.05 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB161) | v112(constB161) | (~v113(constB161))),
% 54.84/35.05 inference(modus_ponens,[status(thm)],[30896, 30895])).
% 54.84/35.05 tff(30898,plain,
% 54.84/35.05 (v112(constB161) | (~v113(constB161))),
% 54.84/35.05 inference(unit_resolution,[status(thm)],[30897, 1063, 30891])).
% 54.84/35.05 tff(30899,plain,
% 54.84/35.05 (v112(constB161)),
% 54.84/35.05 inference(unit_resolution,[status(thm)],[30898, 30887])).
% 54.84/35.05 tff(30900,plain,
% 54.84/35.05 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB161) | (~v112(constB161)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB161) | (~v112(constB161)))),
% 54.84/35.05 inference(rewrite,[status(thm)],[])).
% 54.84/35.05 tff(30901,plain,
% 54.84/35.05 (((~v112(constB161)) | v108(constB161)) <=> (v108(constB161) | (~v112(constB161)))),
% 54.84/35.05 inference(rewrite,[status(thm)],[])).
% 54.84/35.05 tff(30902,plain,
% 54.84/35.05 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB161)) | v108(constB161))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB161) | (~v112(constB161))))),
% 54.84/35.05 inference(monotonicity,[status(thm)],[30901])).
% 54.84/35.05 tff(30903,plain,
% 54.84/35.05 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB161)) | v108(constB161))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB161) | (~v112(constB161)))),
% 54.84/35.05 inference(transitivity,[status(thm)],[30902, 30900])).
% 54.84/35.05 tff(30904,plain,
% 54.84/35.05 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB161)) | v108(constB161))),
% 54.84/35.05 inference(quant_inst,[status(thm)],[])).
% 54.84/35.05 tff(30905,plain,
% 54.84/35.05 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB161) | (~v112(constB161))),
% 54.84/35.05 inference(modus_ponens,[status(thm)],[30904, 30903])).
% 54.84/35.05 tff(30906,plain,
% 54.84/35.05 (v108(constB161)),
% 54.84/35.05 inference(unit_resolution,[status(thm)],[30905, 1075, 30899])).
% 54.84/35.05 tff(30907,plain,
% 54.84/35.05 (nextState(constB161, constB162) <=> nextState(constB161, constB162)),
% 54.84/35.05 inference(rewrite,[status(thm)],[])).
% 54.84/35.05 tff(30908,axiom,(nextState(constB161, constB162)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_161_1')).
% 54.84/35.05 tff(30909,plain,
% 54.84/35.05 (nextState(constB161, constB162)),
% 54.84/35.05 inference(modus_ponens,[status(thm)],[30908, 30907])).
% 54.84/35.05 tff(30910,plain,
% 54.84/35.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161)))),
% 54.84/35.05 inference(rewrite,[status(thm)],[])).
% 54.84/35.05 tff(30911,plain,
% 54.84/35.05 (((~nextState(constB161, constB162)) | (~v108(constB161)) | v110(constB162)) <=> ((~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161)))),
% 54.84/35.05 inference(rewrite,[status(thm)],[])).
% 54.84/35.05 tff(30912,plain,
% 54.84/35.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB161, constB162)) | (~v108(constB161)) | v110(constB162))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161))))),
% 54.84/35.05 inference(monotonicity,[status(thm)],[30911])).
% 54.84/35.05 tff(30913,plain,
% 54.84/35.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB161, constB162)) | (~v108(constB161)) | v110(constB162))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161)))),
% 54.84/35.05 inference(transitivity,[status(thm)],[30912, 30910])).
% 54.84/35.05 tff(30914,plain,
% 54.84/35.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB161, constB162)) | (~v108(constB161)) | v110(constB162))),
% 54.84/35.05 inference(quant_inst,[status(thm)],[])).
% 54.84/35.05 tff(30915,plain,
% 54.84/35.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB161, constB162)) | v110(constB162) | (~v108(constB161))),
% 54.84/35.05 inference(modus_ponens,[status(thm)],[30914, 30913])).
% 54.84/35.05 tff(30916,plain,
% 54.84/35.05 (v110(constB162) | (~v108(constB161))),
% 54.84/35.05 inference(unit_resolution,[status(thm)],[30915, 1095, 30909])).
% 54.84/35.05 tff(30917,plain,
% 54.84/35.05 (v110(constB162)),
% 54.84/35.05 inference(unit_resolution,[status(thm)],[30916, 30906])).
% 54.84/35.05 tff(30918,plain,
% 54.84/35.05 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB161) | (~nextState(constB161, constB162)) | (~v104(constB162)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB161) | (~nextState(constB161, constB162)) | (~v104(constB162)))),
% 54.84/35.05 inference(rewrite,[status(thm)],[])).
% 54.84/35.05 tff(30919,plain,
% 54.84/35.05 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB161) | (~nextState(constB161, constB162)) | (~v104(constB162)))),
% 54.84/35.05 inference(quant_inst,[status(thm)],[])).
% 54.84/35.05 tff(30920,plain,
% 54.84/35.05 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB161) | (~nextState(constB161, constB162)) | (~v104(constB162))),
% 54.84/35.05 inference(modus_ponens,[status(thm)],[30919, 30918])).
% 54.84/35.05 tff(30921,plain,
% 54.84/35.05 (~v104(constB162)),
% 54.84/35.05 inference(unit_resolution,[status(thm)],[30920, 1113, 30909, 30759])).
% 54.84/35.05 tff(30922,plain,
% 54.84/35.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB161, constB162)) | v102(constB162) | v104(constB162))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB161, constB162)) | v102(constB162) | v104(constB162))),
% 54.84/35.05 inference(rewrite,[status(thm)],[])).
% 54.84/35.05 tff(30923,plain,
% 54.84/35.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB161, constB162)) | v102(constB162) | v104(constB162))),
% 54.84/35.05 inference(quant_inst,[status(thm)],[])).
% 54.84/35.05 tff(30924,plain,
% 54.84/35.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB161, constB162)) | v102(constB162) | v104(constB162)),
% 54.84/35.05 inference(modus_ponens,[status(thm)],[30923, 30922])).
% 54.84/35.05 tff(30925,plain,
% 54.84/35.05 (v102(constB162) | v104(constB162)),
% 54.84/35.05 inference(unit_resolution,[status(thm)],[30924, 1127, 30909])).
% 54.84/35.05 tff(30926,plain,
% 54.84/35.05 (v102(constB162)),
% 54.84/35.05 inference(unit_resolution,[status(thm)],[30925, 30921])).
% 54.84/35.05 tff(30927,plain,
% 54.84/35.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB161, constB162)) | v101(constB162) | (~v102(constB162)) | (~v1(constB162)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB161, constB162)) | v101(constB162) | (~v102(constB162)) | (~v1(constB162)))),
% 54.84/35.05 inference(rewrite,[status(thm)],[])).
% 54.84/35.05 tff(30928,plain,
% 54.84/35.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB161, constB162)) | v101(constB162) | (~v102(constB162)) | (~v1(constB162)))),
% 54.84/35.05 inference(quant_inst,[status(thm)],[])).
% 54.84/35.05 tff(30929,plain,
% 54.84/35.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB161, constB162)) | v101(constB162) | (~v102(constB162)) | (~v1(constB162))),
% 54.84/35.05 inference(modus_ponens,[status(thm)],[30928, 30927])).
% 54.84/35.05 tff(30930,plain,
% 54.84/35.05 (v101(constB162) | (~v102(constB162))),
% 54.84/35.05 inference(unit_resolution,[status(thm)],[30929, 1145, 30909, 310])).
% 54.84/35.05 tff(30931,plain,
% 54.84/35.05 (v101(constB162)),
% 54.84/35.05 inference(unit_resolution,[status(thm)],[30930, 30926])).
% 54.84/35.05 tff(30932,plain,
% 54.84/35.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162)))),
% 54.84/35.05 inference(rewrite,[status(thm)],[])).
% 54.84/35.05 tff(30933,plain,
% 54.84/35.05 (((~nextState(constB161, constB162)) | (~v101(constB162)) | (~v110(constB162)) | v100(constB162)) <=> ((~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162)))),
% 54.84/35.05 inference(rewrite,[status(thm)],[])).
% 54.84/35.05 tff(30934,plain,
% 54.84/35.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB161, constB162)) | (~v101(constB162)) | (~v110(constB162)) | v100(constB162))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162))))),
% 54.84/35.05 inference(monotonicity,[status(thm)],[30933])).
% 54.84/35.05 tff(30935,plain,
% 54.84/35.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB161, constB162)) | (~v101(constB162)) | (~v110(constB162)) | v100(constB162))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162)))),
% 54.84/35.05 inference(transitivity,[status(thm)],[30934, 30932])).
% 54.84/35.05 tff(30936,plain,
% 54.84/35.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB161, constB162)) | (~v101(constB162)) | (~v110(constB162)) | v100(constB162))),
% 54.84/35.05 inference(quant_inst,[status(thm)],[])).
% 54.84/35.05 tff(30937,plain,
% 54.84/35.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB161, constB162)) | v100(constB162) | (~v101(constB162)) | (~v110(constB162))),
% 54.84/35.05 inference(modus_ponens,[status(thm)],[30936, 30935])).
% 54.84/35.05 tff(30938,plain,
% 54.84/35.05 (v100(constB162) | (~v101(constB162)) | (~v110(constB162))),
% 54.84/35.05 inference(unit_resolution,[status(thm)],[30937, 1160, 30909])).
% 54.84/35.05 tff(30939,plain,
% 54.84/35.05 (v100(constB162) | (~v110(constB162))),
% 54.84/35.05 inference(unit_resolution,[status(thm)],[30938, 30931])).
% 54.84/35.05 tff(30940,plain,
% 54.84/35.05 (v100(constB162)),
% 54.84/35.05 inference(unit_resolution,[status(thm)],[30939, 30917])).
% 54.84/35.05 tff(30941,plain,
% 54.84/35.05 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB161)) | v130(constB161, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB161)) | v130(constB161, 0))),
% 54.84/35.05 inference(rewrite,[status(thm)],[])).
% 54.84/35.05 tff(30942,plain,
% 54.84/35.05 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB161)) | v130(constB161, 0))),
% 54.84/35.05 inference(quant_inst,[status(thm)],[])).
% 54.84/35.05 tff(30943,plain,
% 54.84/35.05 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB161)) | v130(constB161, 0)),
% 54.84/35.05 inference(modus_ponens,[status(thm)],[30942, 30941])).
% 54.84/35.05 tff(30944,plain,
% 54.84/35.05 (v130(constB161, 0)),
% 54.84/35.05 inference(unit_resolution,[status(thm)],[30943, 1915, 30852])).
% 54.84/35.05 tff(30945,plain,
% 54.84/35.05 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB161) | (~v130(constB161, 0)) | v127(constB161, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB161) | (~v130(constB161, 0)) | v127(constB161, 0))),
% 54.84/35.05 inference(rewrite,[status(thm)],[])).
% 54.84/35.05 tff(30946,plain,
% 54.84/35.05 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB161) | (~v130(constB161, 0)) | v127(constB161, 0))),
% 54.84/35.05 inference(quant_inst,[status(thm)],[])).
% 54.84/35.05 tff(30947,plain,
% 54.84/35.05 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB161) | (~v130(constB161, 0)) | v127(constB161, 0)),
% 54.84/35.05 inference(modus_ponens,[status(thm)],[30946, 30945])).
% 54.84/35.05 tff(30948,plain,
% 54.84/35.05 ((~v130(constB161, 0)) | v127(constB161, 0)),
% 54.84/35.05 inference(unit_resolution,[status(thm)],[30947, 1347, 30891])).
% 54.84/35.05 tff(30949,plain,
% 54.84/35.05 (v127(constB161, 0)),
% 54.84/35.05 inference(unit_resolution,[status(thm)],[30948, 30944])).
% 54.84/35.05 tff(30950,plain,
% 54.84/35.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB161, constB162)) | (~v127(constB161, 0)) | v129(constB162, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB161, constB162)) | (~v127(constB161, 0)) | v129(constB162, 0))),
% 54.84/35.05 inference(rewrite,[status(thm)],[])).
% 54.84/35.05 tff(30951,plain,
% 54.84/35.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB161, constB162)) | (~v127(constB161, 0)) | v129(constB162, 0))),
% 54.84/35.05 inference(quant_inst,[status(thm)],[])).
% 54.84/35.05 tff(30952,plain,
% 54.84/35.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB161, constB162)) | (~v127(constB161, 0)) | v129(constB162, 0)),
% 54.84/35.05 inference(modus_ponens,[status(thm)],[30951, 30950])).
% 54.84/35.05 tff(30953,plain,
% 54.84/35.05 ((~v127(constB161, 0)) | v129(constB162, 0)),
% 54.84/35.05 inference(unit_resolution,[status(thm)],[30952, 1362, 30909])).
% 54.84/35.05 tff(30954,plain,
% 54.84/35.05 (v129(constB162, 0)),
% 54.84/35.05 inference(unit_resolution,[status(thm)],[30953, 30949])).
% 54.84/35.05 tff(30955,plain,
% 54.84/35.05 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB162, 0) | (~v129(constB162, 0)) | (~v100(constB162)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB162, 0) | (~v129(constB162, 0)) | (~v100(constB162)))),
% 54.89/35.05 inference(rewrite,[status(thm)],[])).
% 54.89/35.05 tff(30956,plain,
% 54.89/35.05 ((v90(constB162, 0) | (~v100(constB162)) | (~v129(constB162, 0))) <=> (v90(constB162, 0) | (~v129(constB162, 0)) | (~v100(constB162)))),
% 54.89/35.05 inference(rewrite,[status(thm)],[])).
% 54.89/35.05 tff(30957,plain,
% 54.89/35.05 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB162, 0) | (~v100(constB162)) | (~v129(constB162, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB162, 0) | (~v129(constB162, 0)) | (~v100(constB162))))),
% 54.89/35.05 inference(monotonicity,[status(thm)],[30956])).
% 54.89/35.05 tff(30958,plain,
% 54.89/35.05 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB162, 0) | (~v100(constB162)) | (~v129(constB162, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB162, 0) | (~v129(constB162, 0)) | (~v100(constB162)))),
% 54.89/35.05 inference(transitivity,[status(thm)],[30957, 30955])).
% 54.89/35.05 tff(30959,plain,
% 54.89/35.05 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB162, 0) | (~v100(constB162)) | (~v129(constB162, 0)))),
% 54.89/35.05 inference(quant_inst,[status(thm)],[])).
% 54.89/35.05 tff(30960,plain,
% 54.89/35.05 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB162, 0) | (~v129(constB162, 0)) | (~v100(constB162))),
% 54.89/35.05 inference(modus_ponens,[status(thm)],[30959, 30958])).
% 54.89/35.05 tff(30961,plain,
% 54.89/35.05 (v90(constB162, 0) | (~v100(constB162))),
% 54.89/35.05 inference(unit_resolution,[status(thm)],[30960, 1377, 30954])).
% 54.89/35.05 tff(30962,plain,
% 54.89/35.05 (v90(constB162, 0)),
% 54.89/35.05 inference(unit_resolution,[status(thm)],[30961, 30940])).
% 54.89/35.05 tff(30963,plain,
% 54.89/35.05 ((~v1(constB163)) <=> (~v1(constB163))),
% 54.89/35.05 inference(rewrite,[status(thm)],[])).
% 54.89/35.05 tff(30964,axiom,(~v1(constB163)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_163_1_1')).
% 54.89/35.05 tff(30965,plain,
% 54.89/35.05 (~v1(constB163)),
% 54.89/35.05 inference(modus_ponens,[status(thm)],[30964, 30963])).
% 54.89/35.05 tff(30966,plain,
% 54.89/35.05 (nextState(constB162, constB163) <=> nextState(constB162, constB163)),
% 54.89/35.05 inference(rewrite,[status(thm)],[])).
% 54.89/35.05 tff(30967,axiom,(nextState(constB162, constB163)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_162_1')).
% 54.89/35.05 tff(30968,plain,
% 54.89/35.05 (nextState(constB162, constB163)),
% 54.89/35.05 inference(modus_ponens,[status(thm)],[30967, 30966])).
% 54.89/35.05 tff(30969,plain,
% 54.89/35.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163)))),
% 54.89/35.05 inference(rewrite,[status(thm)],[])).
% 54.89/35.05 tff(30970,plain,
% 54.89/35.05 (((~nextState(constB162, constB163)) | (~v101(constB163)) | v1(constB163)) <=> (v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163)))),
% 54.89/35.05 inference(rewrite,[status(thm)],[])).
% 54.89/35.05 tff(30971,plain,
% 54.89/35.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB162, constB163)) | (~v101(constB163)) | v1(constB163))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163))))),
% 54.89/35.05 inference(monotonicity,[status(thm)],[30970])).
% 54.89/35.05 tff(30972,plain,
% 54.89/35.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB162, constB163)) | (~v101(constB163)) | v1(constB163))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163)))),
% 54.89/35.05 inference(transitivity,[status(thm)],[30971, 30969])).
% 54.89/35.05 tff(30973,plain,
% 54.89/35.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB162, constB163)) | (~v101(constB163)) | v1(constB163))),
% 54.89/35.05 inference(quant_inst,[status(thm)],[])).
% 54.89/35.05 tff(30974,plain,
% 54.89/35.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB163) | (~nextState(constB162, constB163)) | (~v101(constB163))),
% 54.89/35.05 inference(modus_ponens,[status(thm)],[30973, 30972])).
% 54.89/35.05 tff(30975,plain,
% 54.89/35.05 (~v101(constB163)),
% 54.89/35.05 inference(unit_resolution,[status(thm)],[30974, 873, 30968, 30965])).
% 54.89/35.05 tff(30976,plain,
% 54.89/35.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB162, constB163)) | v101(constB163) | (~v100(constB163)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB162, constB163)) | v101(constB163) | (~v100(constB163)))),
% 54.89/35.05 inference(rewrite,[status(thm)],[])).
% 54.89/35.05 tff(30977,plain,
% 54.89/35.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB162, constB163)) | v101(constB163) | (~v100(constB163)))),
% 54.89/35.05 inference(quant_inst,[status(thm)],[])).
% 54.89/35.05 tff(30978,plain,
% 54.89/35.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB162, constB163)) | v101(constB163) | (~v100(constB163))),
% 54.89/35.05 inference(modus_ponens,[status(thm)],[30977, 30976])).
% 54.89/35.05 tff(30979,plain,
% 54.89/35.05 (v101(constB163) | (~v100(constB163))),
% 54.89/35.05 inference(unit_resolution,[status(thm)],[30978, 890, 30968])).
% 54.89/35.05 tff(30980,plain,
% 54.89/35.05 (~v100(constB163)),
% 54.89/35.05 inference(unit_resolution,[status(thm)],[30979, 30975])).
% 54.89/35.05 tff(30981,plain,
% 54.89/35.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB162, 0)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB162, 0)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, 0))),
% 54.89/35.05 inference(rewrite,[status(thm)],[])).
% 54.89/35.05 tff(30982,plain,
% 54.89/35.05 (((~nextState(constB162, constB163)) | (~v90(constB162, 0)) | v100(constB163) | v90(constB163, 0)) <=> ((~v90(constB162, 0)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, 0))),
% 54.89/35.05 inference(rewrite,[status(thm)],[])).
% 54.89/35.05 tff(30983,plain,
% 54.89/35.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB162, constB163)) | (~v90(constB162, 0)) | v100(constB163) | v90(constB163, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB162, 0)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, 0)))),
% 54.89/35.05 inference(monotonicity,[status(thm)],[30982])).
% 54.89/35.05 tff(30984,plain,
% 54.89/35.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB162, constB163)) | (~v90(constB162, 0)) | v100(constB163) | v90(constB163, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB162, 0)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, 0))),
% 54.89/35.05 inference(transitivity,[status(thm)],[30983, 30981])).
% 54.89/35.05 tff(30985,plain,
% 54.89/35.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB162, constB163)) | (~v90(constB162, 0)) | v100(constB163) | v90(constB163, 0))),
% 54.89/35.05 inference(quant_inst,[status(thm)],[])).
% 54.89/35.05 tff(30986,plain,
% 54.89/35.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB162, 0)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, 0)),
% 54.89/35.05 inference(modus_ponens,[status(thm)],[30985, 30984])).
% 54.89/35.05 tff(30987,plain,
% 54.89/35.05 ((~v90(constB162, 0)) | v100(constB163) | v90(constB163, 0)),
% 54.89/35.05 inference(unit_resolution,[status(thm)],[30986, 1395, 30968])).
% 54.89/35.05 tff(30988,plain,
% 54.89/35.05 ((~v90(constB162, 0)) | v90(constB163, 0)),
% 54.89/35.05 inference(unit_resolution,[status(thm)],[30987, 30980])).
% 54.89/35.05 tff(30989,plain,
% 54.89/35.05 (v90(constB163, 0)),
% 54.89/35.05 inference(unit_resolution,[status(thm)],[30988, 30962])).
% 54.89/35.05 tff(30990,plain,
% 54.89/35.05 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB161)) | (~v130(constB161, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB161)) | (~v130(constB161, 2)))),
% 54.89/35.05 inference(rewrite,[status(thm)],[])).
% 54.89/35.05 tff(30991,plain,
% 54.89/35.05 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB161)) | (~v130(constB161, 2)))),
% 54.89/35.05 inference(quant_inst,[status(thm)],[])).
% 54.89/35.05 tff(30992,plain,
% 54.89/35.05 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB161)) | (~v130(constB161, 2))),
% 54.89/35.05 inference(modus_ponens,[status(thm)],[30991, 30990])).
% 54.89/35.05 tff(30993,plain,
% 54.89/35.05 (~v130(constB161, 2)),
% 54.89/35.05 inference(unit_resolution,[status(thm)],[30992, 1821, 30852])).
% 54.89/35.05 tff(30994,plain,
% 54.89/35.05 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB161, 2)) | v26(constB161) | v130(constB161, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB161, 2)) | v26(constB161) | v130(constB161, 2))),
% 54.89/35.05 inference(rewrite,[status(thm)],[])).
% 54.89/35.05 tff(30995,plain,
% 54.89/35.05 ((v26(constB161) | v130(constB161, 2) | (~v127(constB161, 2))) <=> ((~v127(constB161, 2)) | v26(constB161) | v130(constB161, 2))),
% 54.89/35.05 inference(rewrite,[status(thm)],[])).
% 54.89/35.05 tff(30996,plain,
% 54.89/35.05 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB161) | v130(constB161, 2) | (~v127(constB161, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB161, 2)) | v26(constB161) | v130(constB161, 2)))),
% 54.89/35.05 inference(monotonicity,[status(thm)],[30995])).
% 54.89/35.05 tff(30997,plain,
% 54.89/35.05 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB161) | v130(constB161, 2) | (~v127(constB161, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB161, 2)) | v26(constB161) | v130(constB161, 2))),
% 54.89/35.05 inference(transitivity,[status(thm)],[30996, 30994])).
% 54.89/35.05 tff(30998,plain,
% 54.89/35.05 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB161) | v130(constB161, 2) | (~v127(constB161, 2)))),
% 54.89/35.05 inference(quant_inst,[status(thm)],[])).
% 54.89/35.05 tff(30999,plain,
% 54.89/35.05 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB161, 2)) | v26(constB161) | v130(constB161, 2)),
% 54.89/35.05 inference(modus_ponens,[status(thm)],[30998, 30997])).
% 54.89/35.05 tff(31000,plain,
% 54.89/35.05 ((~v127(constB161, 2)) | v130(constB161, 2)),
% 54.89/35.05 inference(unit_resolution,[status(thm)],[30999, 1190, 30891])).
% 54.89/35.05 tff(31001,plain,
% 54.89/35.05 (~v127(constB161, 2)),
% 54.89/35.05 inference(unit_resolution,[status(thm)],[31000, 30993])).
% 54.89/35.05 tff(31002,plain,
% 54.89/35.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB161, constB162)) | v127(constB161, 2) | (~v129(constB162, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB161, constB162)) | v127(constB161, 2) | (~v129(constB162, 2)))),
% 54.89/35.05 inference(rewrite,[status(thm)],[])).
% 54.89/35.06 tff(31003,plain,
% 54.89/35.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB161, constB162)) | v127(constB161, 2) | (~v129(constB162, 2)))),
% 54.89/35.06 inference(quant_inst,[status(thm)],[])).
% 54.89/35.06 tff(31004,plain,
% 54.89/35.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB161, constB162)) | v127(constB161, 2) | (~v129(constB162, 2))),
% 54.89/35.06 inference(modus_ponens,[status(thm)],[31003, 31002])).
% 54.89/35.06 tff(31005,plain,
% 54.89/35.06 (v127(constB161, 2) | (~v129(constB162, 2))),
% 54.89/35.06 inference(unit_resolution,[status(thm)],[31004, 1208, 30909])).
% 54.89/35.06 tff(31006,plain,
% 54.89/35.06 (~v129(constB162, 2)),
% 54.89/35.06 inference(unit_resolution,[status(thm)],[31005, 31001])).
% 54.89/35.06 tff(31007,plain,
% 54.89/35.06 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB162, 2)) | v129(constB162, 2) | (~v100(constB162)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB162, 2)) | v129(constB162, 2) | (~v100(constB162)))),
% 54.89/35.06 inference(rewrite,[status(thm)],[])).
% 54.89/35.06 tff(31008,plain,
% 54.89/35.06 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB162, 2)) | v129(constB162, 2) | (~v100(constB162)))),
% 54.89/35.06 inference(quant_inst,[status(thm)],[])).
% 54.89/35.06 tff(31009,plain,
% 54.89/35.06 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB162, 2)) | v129(constB162, 2) | (~v100(constB162))),
% 54.89/35.06 inference(modus_ponens,[status(thm)],[31008, 31007])).
% 54.89/35.06 tff(31010,plain,
% 54.89/35.06 ((~v90(constB162, 2)) | (~v100(constB162))),
% 54.89/35.06 inference(unit_resolution,[status(thm)],[31009, 1223, 31006])).
% 54.89/35.06 tff(31011,plain,
% 54.89/35.06 (~v90(constB162, 2)),
% 54.89/35.06 inference(unit_resolution,[status(thm)],[31010, 30940])).
% 54.89/35.06 tff(31012,plain,
% 54.89/35.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB162, 2) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB162, 2) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, 2)))),
% 54.89/35.06 inference(rewrite,[status(thm)],[])).
% 54.89/35.06 tff(31013,plain,
% 54.89/35.06 (((~nextState(constB162, constB163)) | v90(constB162, 2) | v100(constB163) | (~v90(constB163, 2))) <=> (v90(constB162, 2) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, 2)))),
% 54.89/35.06 inference(rewrite,[status(thm)],[])).
% 54.89/35.06 tff(31014,plain,
% 54.89/35.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB162, constB163)) | v90(constB162, 2) | v100(constB163) | (~v90(constB163, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB162, 2) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, 2))))),
% 54.89/35.06 inference(monotonicity,[status(thm)],[31013])).
% 54.89/35.06 tff(31015,plain,
% 54.89/35.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB162, constB163)) | v90(constB162, 2) | v100(constB163) | (~v90(constB163, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB162, 2) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, 2)))),
% 54.89/35.06 inference(transitivity,[status(thm)],[31014, 31012])).
% 54.89/35.06 tff(31016,plain,
% 54.89/35.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB162, constB163)) | v90(constB162, 2) | v100(constB163) | (~v90(constB163, 2)))),
% 54.89/35.06 inference(quant_inst,[status(thm)],[])).
% 54.89/35.06 tff(31017,plain,
% 54.89/35.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB162, 2) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, 2))),
% 54.89/35.06 inference(modus_ponens,[status(thm)],[31016, 31015])).
% 54.89/35.06 tff(31018,plain,
% 54.89/35.06 (v90(constB162, 2) | v100(constB163) | (~v90(constB163, 2))),
% 54.89/35.06 inference(unit_resolution,[status(thm)],[31017, 905, 30968])).
% 54.89/35.06 tff(31019,plain,
% 54.89/35.06 (v90(constB162, 2) | (~v90(constB163, 2))),
% 54.89/35.06 inference(unit_resolution,[status(thm)],[31018, 30980])).
% 54.89/35.06 tff(31020,plain,
% 54.89/35.06 (~v90(constB163, 2)),
% 54.89/35.06 inference(unit_resolution,[status(thm)],[31019, 31011])).
% 54.89/35.06 tff(31021,assumption,(~v122(constB163)), introduced(assumption)).
% 54.89/35.06 tff(31022,assumption,(~v90(constB162, 1)), introduced(assumption)).
% 54.89/35.06 tff(31023,plain,
% 54.89/35.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB161, 1)) | (~nextState(constB161, constB162)) | v100(constB162) | v90(constB162, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB161, 1)) | (~nextState(constB161, constB162)) | v100(constB162) | v90(constB162, 1))),
% 54.89/35.06 inference(rewrite,[status(thm)],[])).
% 54.89/35.06 tff(31024,plain,
% 54.89/35.06 (((~nextState(constB161, constB162)) | (~v90(constB161, 1)) | v100(constB162) | v90(constB162, 1)) <=> ((~v90(constB161, 1)) | (~nextState(constB161, constB162)) | v100(constB162) | v90(constB162, 1))),
% 54.89/35.06 inference(rewrite,[status(thm)],[])).
% 54.89/35.06 tff(31025,plain,
% 54.89/35.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB161, constB162)) | (~v90(constB161, 1)) | v100(constB162) | v90(constB162, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB161, 1)) | (~nextState(constB161, constB162)) | v100(constB162) | v90(constB162, 1)))),
% 54.89/35.06 inference(monotonicity,[status(thm)],[31024])).
% 54.89/35.06 tff(31026,plain,
% 54.89/35.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB161, constB162)) | (~v90(constB161, 1)) | v100(constB162) | v90(constB162, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB161, 1)) | (~nextState(constB161, constB162)) | v100(constB162) | v90(constB162, 1))),
% 54.89/35.06 inference(transitivity,[status(thm)],[31025, 31023])).
% 54.89/35.06 tff(31027,plain,
% 54.89/35.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB161, constB162)) | (~v90(constB161, 1)) | v100(constB162) | v90(constB162, 1))),
% 54.89/35.06 inference(quant_inst,[status(thm)],[])).
% 54.89/35.06 tff(31028,plain,
% 54.89/35.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB161, 1)) | (~nextState(constB161, constB162)) | v100(constB162) | v90(constB162, 1)),
% 54.89/35.06 inference(modus_ponens,[status(thm)],[31027, 31026])).
% 54.89/35.06 tff(31029,plain,
% 54.89/35.06 ((~v90(constB161, 1)) | v100(constB162) | v90(constB162, 1)),
% 54.89/35.06 inference(unit_resolution,[status(thm)],[31028, 1641, 30909])).
% 54.89/35.06 tff(31030,plain,
% 54.89/35.06 (v100(constB162)),
% 54.89/35.06 inference(unit_resolution,[status(thm)],[31029, 30814, 31022])).
% 54.89/35.06 tff(31031,plain,
% 54.89/35.06 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB162, 1) | (~v129(constB162, 1)) | (~v100(constB162)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB162, 1) | (~v129(constB162, 1)) | (~v100(constB162)))),
% 54.89/35.06 inference(rewrite,[status(thm)],[])).
% 54.89/35.06 tff(31032,plain,
% 54.89/35.06 ((v90(constB162, 1) | (~v100(constB162)) | (~v129(constB162, 1))) <=> (v90(constB162, 1) | (~v129(constB162, 1)) | (~v100(constB162)))),
% 54.89/35.06 inference(rewrite,[status(thm)],[])).
% 54.89/35.06 tff(31033,plain,
% 54.89/35.06 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB162, 1) | (~v100(constB162)) | (~v129(constB162, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB162, 1) | (~v129(constB162, 1)) | (~v100(constB162))))),
% 54.89/35.06 inference(monotonicity,[status(thm)],[31032])).
% 54.89/35.06 tff(31034,plain,
% 54.89/35.06 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB162, 1) | (~v100(constB162)) | (~v129(constB162, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB162, 1) | (~v129(constB162, 1)) | (~v100(constB162)))),
% 54.89/35.06 inference(transitivity,[status(thm)],[31033, 31031])).
% 54.89/35.06 tff(31035,plain,
% 54.89/35.06 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB162, 1) | (~v100(constB162)) | (~v129(constB162, 1)))),
% 54.89/35.06 inference(quant_inst,[status(thm)],[])).
% 54.89/35.06 tff(31036,plain,
% 54.89/35.06 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB162, 1) | (~v129(constB162, 1)) | (~v100(constB162))),
% 54.89/35.06 inference(modus_ponens,[status(thm)],[31035, 31034])).
% 54.89/35.06 tff(31037,plain,
% 54.89/35.06 ((~v129(constB162, 1)) | (~v100(constB162))),
% 54.89/35.06 inference(unit_resolution,[status(thm)],[31036, 1623, 31022])).
% 54.89/35.06 tff(31038,plain,
% 54.89/35.06 (~v129(constB162, 1)),
% 54.89/35.06 inference(unit_resolution,[status(thm)],[31037, 31030])).
% 54.89/35.06 tff(31039,plain,
% 54.89/35.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB161, constB162)) | (~v127(constB161, 1)) | v129(constB162, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB161, constB162)) | (~v127(constB161, 1)) | v129(constB162, 1))),
% 54.89/35.06 inference(rewrite,[status(thm)],[])).
% 54.89/35.06 tff(31040,plain,
% 54.89/35.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB161, constB162)) | (~v127(constB161, 1)) | v129(constB162, 1))),
% 54.89/35.06 inference(quant_inst,[status(thm)],[])).
% 54.89/35.06 tff(31041,plain,
% 54.89/35.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB161, constB162)) | (~v127(constB161, 1)) | v129(constB162, 1)),
% 54.89/35.06 inference(modus_ponens,[status(thm)],[31040, 31039])).
% 54.89/35.06 tff(31042,plain,
% 54.89/35.06 ((~v127(constB161, 1)) | v129(constB162, 1)),
% 54.89/35.06 inference(unit_resolution,[status(thm)],[31041, 1608, 30909])).
% 54.89/35.06 tff(31043,plain,
% 54.89/35.06 (~v127(constB161, 1)),
% 54.89/35.06 inference(unit_resolution,[status(thm)],[31042, 31038])).
% 54.89/35.06 tff(31044,plain,
% 54.89/35.06 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB161) | (~v130(constB161, 1)) | v127(constB161, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB161) | (~v130(constB161, 1)) | v127(constB161, 1))),
% 54.89/35.06 inference(rewrite,[status(thm)],[])).
% 54.89/35.06 tff(31045,plain,
% 54.89/35.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB161) | (~v130(constB161, 1)) | v127(constB161, 1))),
% 54.89/35.06 inference(quant_inst,[status(thm)],[])).
% 54.89/35.06 tff(31046,plain,
% 54.89/35.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB161) | (~v130(constB161, 1)) | v127(constB161, 1)),
% 54.89/35.06 inference(modus_ponens,[status(thm)],[31045, 31044])).
% 54.89/35.06 tff(31047,plain,
% 54.89/35.06 ((~v130(constB161, 1)) | v127(constB161, 1)),
% 54.89/35.06 inference(unit_resolution,[status(thm)],[31046, 1593, 30891])).
% 54.89/35.06 tff(31048,plain,
% 54.89/35.06 (~v130(constB161, 1)),
% 54.89/35.06 inference(unit_resolution,[status(thm)],[31047, 31043])).
% 54.89/35.06 tff(31049,plain,
% 54.89/35.06 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB161)) | v130(constB161, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB161)) | v130(constB161, 1))),
% 54.89/35.06 inference(rewrite,[status(thm)],[])).
% 54.89/35.06 tff(31050,plain,
% 54.89/35.06 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB161)) | v130(constB161, 1))),
% 54.89/35.06 inference(quant_inst,[status(thm)],[])).
% 54.89/35.06 tff(31051,plain,
% 54.89/35.06 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB161)) | v130(constB161, 1)),
% 54.89/35.06 inference(modus_ponens,[status(thm)],[31050, 31049])).
% 54.89/35.06 tff(31052,plain,
% 54.89/35.06 ($false),
% 54.89/35.06 inference(unit_resolution,[status(thm)],[31051, 1877, 31048, 30852])).
% 54.89/35.06 tff(31053,plain,((~v120(constB159)) | v90(constB162, 1)), inference(lemma,lemma(discharge,[]))).
% 54.89/35.06 tff(31054,plain,
% 54.89/35.06 (v90(constB162, 1)),
% 54.89/35.06 inference(unit_resolution,[status(thm)],[31053, 30645])).
% 54.89/35.06 tff(31055,plain,
% 54.89/35.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB162, 1)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB162, 1)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, 1))),
% 54.89/35.06 inference(rewrite,[status(thm)],[])).
% 54.89/35.06 tff(31056,plain,
% 54.89/35.06 (((~nextState(constB162, constB163)) | (~v90(constB162, 1)) | v100(constB163) | v90(constB163, 1)) <=> ((~v90(constB162, 1)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, 1))),
% 54.89/35.06 inference(rewrite,[status(thm)],[])).
% 54.89/35.06 tff(31057,plain,
% 54.89/35.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB162, constB163)) | (~v90(constB162, 1)) | v100(constB163) | v90(constB163, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB162, 1)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, 1)))),
% 54.89/35.06 inference(monotonicity,[status(thm)],[31056])).
% 54.89/35.06 tff(31058,plain,
% 54.89/35.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB162, constB163)) | (~v90(constB162, 1)) | v100(constB163) | v90(constB163, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB162, 1)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, 1))),
% 54.89/35.06 inference(transitivity,[status(thm)],[31057, 31055])).
% 54.89/35.06 tff(31059,plain,
% 54.89/35.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB162, constB163)) | (~v90(constB162, 1)) | v100(constB163) | v90(constB163, 1))),
% 54.89/35.06 inference(quant_inst,[status(thm)],[])).
% 54.89/35.06 tff(31060,plain,
% 54.89/35.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB162, 1)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, 1)),
% 54.89/35.06 inference(modus_ponens,[status(thm)],[31059, 31058])).
% 54.89/35.06 tff(31061,plain,
% 54.89/35.06 ((~v90(constB162, 1)) | v100(constB163) | v90(constB163, 1)),
% 54.89/35.06 inference(unit_resolution,[status(thm)],[31060, 1641, 30968])).
% 54.89/35.06 tff(31062,plain,
% 54.89/35.06 ((~v90(constB162, 1)) | v90(constB163, 1)),
% 54.89/35.06 inference(unit_resolution,[status(thm)],[31061, 30980])).
% 54.89/35.06 tff(31063,plain,
% 54.89/35.06 (v90(constB163, 1)),
% 54.89/35.06 inference(unit_resolution,[status(thm)],[31062, 31054])).
% 54.89/35.06 tff(31064,plain,
% 54.89/35.06 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB163, 0)) | (~v90(constB163, 1)) | v90(constB163, 2) | v122(constB163))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB163, 0)) | (~v90(constB163, 1)) | v90(constB163, 2) | v122(constB163))),
% 54.89/35.06 inference(rewrite,[status(thm)],[])).
% 54.89/35.06 tff(31065,plain,
% 54.89/35.06 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB163, 0)) | (~v90(constB163, 1)) | v90(constB163, 2) | v122(constB163))),
% 54.89/35.06 inference(quant_inst,[status(thm)],[])).
% 54.89/35.06 tff(31066,plain,
% 54.89/35.06 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB163, 0)) | (~v90(constB163, 1)) | v90(constB163, 2) | v122(constB163)),
% 54.89/35.06 inference(modus_ponens,[status(thm)],[31065, 31064])).
% 54.89/35.06 tff(31067,plain,
% 54.89/35.06 ((~v90(constB163, 0)) | v90(constB163, 2)),
% 54.89/35.06 inference(unit_resolution,[status(thm)],[31066, 1956, 31063, 31021])).
% 54.89/35.06 tff(31068,plain,
% 54.89/35.06 ($false),
% 54.89/35.06 inference(unit_resolution,[status(thm)],[31067, 31020, 30989])).
% 54.89/35.06 tff(31069,plain,((~v120(constB159)) | v122(constB163)), inference(lemma,lemma(discharge,[]))).
% 54.89/35.06 tff(31070,plain,
% 54.89/35.06 (v122(constB163)),
% 54.89/35.06 inference(unit_resolution,[status(thm)],[31069, 30644])).
% 54.89/35.06 tff(31071,plain,
% 54.89/35.06 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB163)) | v116(constB163))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB163)) | v116(constB163))),
% 54.89/35.06 inference(rewrite,[status(thm)],[])).
% 54.89/35.06 tff(31072,plain,
% 54.89/35.06 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB163)) | v116(constB163))),
% 54.89/35.06 inference(quant_inst,[status(thm)],[])).
% 54.89/35.06 tff(31073,plain,
% 54.89/35.06 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB163)) | v116(constB163)),
% 54.89/35.06 inference(modus_ponens,[status(thm)],[31072, 31071])).
% 54.89/35.06 tff(31074,plain,
% 54.89/35.06 (v116(constB163)),
% 54.89/35.06 inference(unit_resolution,[status(thm)],[31073, 2120, 31070])).
% 54.89/35.06 tff(31075,plain,
% 54.89/35.06 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB163)) | v115(constB163))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB163)) | v115(constB163))),
% 54.89/35.06 inference(rewrite,[status(thm)],[])).
% 54.89/35.06 tff(31076,plain,
% 54.89/35.06 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB163)) | v115(constB163))),
% 54.89/35.06 inference(quant_inst,[status(thm)],[])).
% 54.89/35.06 tff(31077,plain,
% 54.89/35.06 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (~v116(constB163)) | v115(constB163)),
% 54.89/35.06 inference(modus_ponens,[status(thm)],[31076, 31075])).
% 54.89/35.06 tff(31078,plain,
% 54.89/35.06 (v115(constB163)),
% 54.89/35.06 inference(unit_resolution,[status(thm)],[31077, 1021, 31074])).
% 54.89/35.06 tff(31079,plain,
% 54.89/35.06 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB163) | (~v115(constB163)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB163) | (~v115(constB163)))),
% 54.89/35.06 inference(rewrite,[status(thm)],[])).
% 54.89/35.06 tff(31080,plain,
% 54.89/35.06 (((~v115(constB163)) | v114(constB163)) <=> (v114(constB163) | (~v115(constB163)))),
% 54.89/35.06 inference(rewrite,[status(thm)],[])).
% 54.89/35.06 tff(31081,plain,
% 54.89/35.06 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB163)) | v114(constB163))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB163) | (~v115(constB163))))),
% 54.89/35.06 inference(monotonicity,[status(thm)],[31080])).
% 54.89/35.06 tff(31082,plain,
% 54.89/35.06 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB163)) | v114(constB163))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB163) | (~v115(constB163)))),
% 54.89/35.06 inference(transitivity,[status(thm)],[31081, 31079])).
% 54.89/35.06 tff(31083,plain,
% 54.89/35.06 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB163)) | v114(constB163))),
% 54.89/35.06 inference(quant_inst,[status(thm)],[])).
% 54.89/35.06 tff(31084,plain,
% 54.89/35.06 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB163) | (~v115(constB163))),
% 54.89/35.06 inference(modus_ponens,[status(thm)],[31083, 31082])).
% 54.89/35.06 tff(31085,plain,
% 54.89/35.06 (v114(constB163)),
% 54.89/35.06 inference(unit_resolution,[status(thm)],[31084, 1035, 31078])).
% 54.89/35.06 tff(31086,plain,
% 54.89/35.06 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB163) | (~v114(constB163)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB163) | (~v114(constB163)))),
% 54.89/35.06 inference(rewrite,[status(thm)],[])).
% 54.89/35.06 tff(31087,plain,
% 54.89/35.06 (((~v114(constB163)) | v113(constB163)) <=> (v113(constB163) | (~v114(constB163)))),
% 54.89/35.06 inference(rewrite,[status(thm)],[])).
% 54.89/35.06 tff(31088,plain,
% 54.89/35.06 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB163)) | v113(constB163))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB163) | (~v114(constB163))))),
% 54.89/35.06 inference(monotonicity,[status(thm)],[31087])).
% 54.89/35.06 tff(31089,plain,
% 54.89/35.06 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB163)) | v113(constB163))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB163) | (~v114(constB163)))),
% 54.89/35.06 inference(transitivity,[status(thm)],[31088, 31086])).
% 54.89/35.06 tff(31090,plain,
% 54.89/35.06 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB163)) | v113(constB163))),
% 54.89/35.06 inference(quant_inst,[status(thm)],[])).
% 54.89/35.06 tff(31091,plain,
% 54.89/35.06 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB163) | (~v114(constB163))),
% 54.89/35.06 inference(modus_ponens,[status(thm)],[31090, 31089])).
% 54.89/35.06 tff(31092,plain,
% 54.89/35.06 (v113(constB163)),
% 54.89/35.06 inference(unit_resolution,[status(thm)],[31091, 1049, 31085])).
% 54.89/35.06 tff(31093,assumption,(v26(constB163)), introduced(assumption)).
% 54.89/35.06 tff(31094,plain,
% 54.89/35.06 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB163))),
% 54.89/35.06 inference(quant_inst,[status(thm)],[])).
% 54.89/35.06 tff(31095,plain,
% 54.89/35.06 ($false),
% 54.89/35.06 inference(unit_resolution,[status(thm)],[31094, 828, 31093])).
% 54.89/35.06 tff(31096,plain,(~v26(constB163)), inference(lemma,lemma(discharge,[]))).
% 54.89/35.06 tff(31097,plain,
% 54.89/35.06 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB163) | (~v113(constB163)) | v112(constB163))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB163) | (~v113(constB163)) | v112(constB163))),
% 54.89/35.06 inference(rewrite,[status(thm)],[])).
% 54.89/35.06 tff(31098,plain,
% 54.89/35.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB163) | (~v113(constB163)) | v112(constB163))),
% 54.89/35.06 inference(quant_inst,[status(thm)],[])).
% 54.89/35.06 tff(31099,plain,
% 54.89/35.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB163) | (~v113(constB163)) | v112(constB163)),
% 54.89/35.06 inference(modus_ponens,[status(thm)],[31098, 31097])).
% 54.89/35.06 tff(31100,plain,
% 54.89/35.06 ((~v113(constB163)) | v112(constB163)),
% 54.89/35.06 inference(unit_resolution,[status(thm)],[31099, 1063, 31096])).
% 54.89/35.06 tff(31101,plain,
% 54.89/35.06 (v112(constB163)),
% 54.89/35.06 inference(unit_resolution,[status(thm)],[31100, 31092])).
% 54.89/35.06 tff(31102,plain,
% 54.89/35.06 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB163) | (~v112(constB163)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB163) | (~v112(constB163)))),
% 54.89/35.06 inference(rewrite,[status(thm)],[])).
% 54.89/35.06 tff(31103,plain,
% 54.89/35.06 (((~v112(constB163)) | v108(constB163)) <=> (v108(constB163) | (~v112(constB163)))),
% 54.89/35.06 inference(rewrite,[status(thm)],[])).
% 54.89/35.06 tff(31104,plain,
% 54.89/35.06 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB163)) | v108(constB163))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB163) | (~v112(constB163))))),
% 54.89/35.06 inference(monotonicity,[status(thm)],[31103])).
% 54.89/35.06 tff(31105,plain,
% 54.89/35.06 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB163)) | v108(constB163))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB163) | (~v112(constB163)))),
% 54.89/35.06 inference(transitivity,[status(thm)],[31104, 31102])).
% 54.89/35.06 tff(31106,plain,
% 54.89/35.06 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB163)) | v108(constB163))),
% 54.89/35.06 inference(quant_inst,[status(thm)],[])).
% 54.89/35.06 tff(31107,plain,
% 54.89/35.06 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB163) | (~v112(constB163))),
% 54.89/35.06 inference(modus_ponens,[status(thm)],[31106, 31105])).
% 54.89/35.06 tff(31108,plain,
% 54.89/35.06 (v108(constB163)),
% 54.89/35.06 inference(unit_resolution,[status(thm)],[31107, 1075, 31101])).
% 54.89/35.06 tff(31109,plain,
% 54.89/35.06 (nextState(constB163, constB164) <=> nextState(constB163, constB164)),
% 54.89/35.06 inference(rewrite,[status(thm)],[])).
% 54.89/35.06 tff(31110,axiom,(nextState(constB163, constB164)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_163_1')).
% 54.89/35.06 tff(31111,plain,
% 54.89/35.06 (nextState(constB163, constB164)),
% 54.89/35.06 inference(modus_ponens,[status(thm)],[31110, 31109])).
% 54.89/35.06 tff(31112,plain,
% 54.89/35.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163)))),
% 54.89/35.06 inference(rewrite,[status(thm)],[])).
% 54.89/35.06 tff(31113,plain,
% 54.89/35.06 (((~nextState(constB163, constB164)) | (~v108(constB163)) | v110(constB164)) <=> ((~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163)))),
% 54.89/35.06 inference(rewrite,[status(thm)],[])).
% 54.89/35.06 tff(31114,plain,
% 54.89/35.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB163, constB164)) | (~v108(constB163)) | v110(constB164))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163))))),
% 54.89/35.06 inference(monotonicity,[status(thm)],[31113])).
% 54.89/35.06 tff(31115,plain,
% 54.89/35.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB163, constB164)) | (~v108(constB163)) | v110(constB164))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163)))),
% 54.89/35.06 inference(transitivity,[status(thm)],[31114, 31112])).
% 54.89/35.06 tff(31116,plain,
% 54.89/35.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB163, constB164)) | (~v108(constB163)) | v110(constB164))),
% 54.89/35.06 inference(quant_inst,[status(thm)],[])).
% 54.89/35.06 tff(31117,plain,
% 54.89/35.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB163, constB164)) | v110(constB164) | (~v108(constB163))),
% 54.89/35.06 inference(modus_ponens,[status(thm)],[31116, 31115])).
% 54.89/35.06 tff(31118,plain,
% 54.89/35.06 (v110(constB164) | (~v108(constB163))),
% 54.89/35.06 inference(unit_resolution,[status(thm)],[31117, 1095, 31111])).
% 54.89/35.06 tff(31119,plain,
% 54.89/35.06 (v110(constB164)),
% 54.89/35.06 inference(unit_resolution,[status(thm)],[31118, 31108])).
% 54.89/35.06 tff(31120,plain,
% 54.89/35.06 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB163) | (~nextState(constB163, constB164)) | (~v104(constB164)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB163) | (~nextState(constB163, constB164)) | (~v104(constB164)))),
% 54.89/35.06 inference(rewrite,[status(thm)],[])).
% 54.89/35.06 tff(31121,plain,
% 54.89/35.06 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB163) | (~nextState(constB163, constB164)) | (~v104(constB164)))),
% 54.89/35.06 inference(quant_inst,[status(thm)],[])).
% 54.89/35.06 tff(31122,plain,
% 54.89/35.06 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB163) | (~nextState(constB163, constB164)) | (~v104(constB164))),
% 54.89/35.06 inference(modus_ponens,[status(thm)],[31121, 31120])).
% 54.89/35.06 tff(31123,plain,
% 54.89/35.06 (~v104(constB164)),
% 54.89/35.06 inference(unit_resolution,[status(thm)],[31122, 1113, 31111, 30965])).
% 54.89/35.06 tff(31124,plain,
% 54.89/35.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB163, constB164)) | v102(constB164) | v104(constB164))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB163, constB164)) | v102(constB164) | v104(constB164))),
% 54.89/35.06 inference(rewrite,[status(thm)],[])).
% 54.89/35.06 tff(31125,plain,
% 54.89/35.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB163, constB164)) | v102(constB164) | v104(constB164))),
% 54.89/35.06 inference(quant_inst,[status(thm)],[])).
% 54.89/35.06 tff(31126,plain,
% 54.89/35.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB163, constB164)) | v102(constB164) | v104(constB164)),
% 54.89/35.06 inference(modus_ponens,[status(thm)],[31125, 31124])).
% 54.89/35.06 tff(31127,plain,
% 54.89/35.06 (v102(constB164) | v104(constB164)),
% 54.89/35.06 inference(unit_resolution,[status(thm)],[31126, 1127, 31111])).
% 54.89/35.06 tff(31128,plain,
% 54.89/35.06 (v102(constB164)),
% 54.89/35.06 inference(unit_resolution,[status(thm)],[31127, 31123])).
% 54.89/35.06 tff(31129,plain,
% 54.89/35.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB163, constB164)) | v101(constB164) | (~v102(constB164)) | (~v1(constB164)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB163, constB164)) | v101(constB164) | (~v102(constB164)) | (~v1(constB164)))),
% 54.89/35.06 inference(rewrite,[status(thm)],[])).
% 54.89/35.06 tff(31130,plain,
% 54.89/35.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB163, constB164)) | v101(constB164) | (~v102(constB164)) | (~v1(constB164)))),
% 54.89/35.06 inference(quant_inst,[status(thm)],[])).
% 54.89/35.06 tff(31131,plain,
% 54.89/35.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB163, constB164)) | v101(constB164) | (~v102(constB164)) | (~v1(constB164))),
% 54.89/35.06 inference(modus_ponens,[status(thm)],[31130, 31129])).
% 54.89/35.06 tff(31132,plain,
% 54.89/35.06 (v101(constB164) | (~v102(constB164))),
% 54.89/35.06 inference(unit_resolution,[status(thm)],[31131, 1145, 31111, 244])).
% 54.89/35.06 tff(31133,plain,
% 54.89/35.06 (v101(constB164)),
% 54.89/35.06 inference(unit_resolution,[status(thm)],[31132, 31128])).
% 54.89/35.06 tff(31134,plain,
% 54.89/35.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164)))),
% 54.89/35.06 inference(rewrite,[status(thm)],[])).
% 54.89/35.06 tff(31135,plain,
% 54.89/35.06 (((~nextState(constB163, constB164)) | (~v101(constB164)) | (~v110(constB164)) | v100(constB164)) <=> ((~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164)))),
% 54.89/35.06 inference(rewrite,[status(thm)],[])).
% 54.89/35.06 tff(31136,plain,
% 54.89/35.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB163, constB164)) | (~v101(constB164)) | (~v110(constB164)) | v100(constB164))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164))))),
% 54.89/35.06 inference(monotonicity,[status(thm)],[31135])).
% 54.89/35.06 tff(31137,plain,
% 54.89/35.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB163, constB164)) | (~v101(constB164)) | (~v110(constB164)) | v100(constB164))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164)))),
% 54.89/35.06 inference(transitivity,[status(thm)],[31136, 31134])).
% 54.89/35.06 tff(31138,plain,
% 54.89/35.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB163, constB164)) | (~v101(constB164)) | (~v110(constB164)) | v100(constB164))),
% 54.89/35.06 inference(quant_inst,[status(thm)],[])).
% 54.89/35.06 tff(31139,plain,
% 54.89/35.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB163, constB164)) | v100(constB164) | (~v101(constB164)) | (~v110(constB164))),
% 54.89/35.06 inference(modus_ponens,[status(thm)],[31138, 31137])).
% 54.89/35.06 tff(31140,plain,
% 54.89/35.06 (v100(constB164) | (~v101(constB164)) | (~v110(constB164))),
% 54.89/35.06 inference(unit_resolution,[status(thm)],[31139, 1160, 31111])).
% 54.89/35.06 tff(31141,plain,
% 54.89/35.06 (v100(constB164) | (~v110(constB164))),
% 54.89/35.06 inference(unit_resolution,[status(thm)],[31140, 31133])).
% 54.89/35.06 tff(31142,plain,
% 54.89/35.06 (v100(constB164)),
% 54.89/35.06 inference(unit_resolution,[status(thm)],[31141, 31119])).
% 54.89/35.06 tff(31143,plain,
% 54.89/35.06 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB163)) | v130(constB163, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB163)) | v130(constB163, 2))),
% 54.89/35.06 inference(rewrite,[status(thm)],[])).
% 54.89/35.06 tff(31144,plain,
% 54.89/35.06 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB163)) | v130(constB163, 2))),
% 54.89/35.06 inference(quant_inst,[status(thm)],[])).
% 54.89/35.06 tff(31145,plain,
% 54.89/35.06 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB163)) | v130(constB163, 2)),
% 54.89/35.06 inference(modus_ponens,[status(thm)],[31144, 31143])).
% 54.89/35.06 tff(31146,plain,
% 54.89/35.06 (v130(constB163, 2)),
% 54.89/35.06 inference(unit_resolution,[status(thm)],[31145, 1967, 31070])).
% 54.89/35.06 tff(31147,plain,
% 54.89/35.06 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB163) | (~v130(constB163, 2)) | v127(constB163, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB163) | (~v130(constB163, 2)) | v127(constB163, 2))),
% 54.89/35.06 inference(rewrite,[status(thm)],[])).
% 54.89/35.06 tff(31148,plain,
% 54.89/35.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB163) | (~v130(constB163, 2)) | v127(constB163, 2))),
% 54.89/35.06 inference(quant_inst,[status(thm)],[])).
% 54.89/35.06 tff(31149,plain,
% 54.89/35.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB163) | (~v130(constB163, 2)) | v127(constB163, 2)),
% 54.89/35.06 inference(modus_ponens,[status(thm)],[31148, 31147])).
% 54.89/35.06 tff(31150,plain,
% 54.89/35.06 ((~v130(constB163, 2)) | v127(constB163, 2)),
% 54.89/35.06 inference(unit_resolution,[status(thm)],[31149, 1981, 31096])).
% 54.89/35.06 tff(31151,plain,
% 54.89/35.06 (v127(constB163, 2)),
% 54.89/35.06 inference(unit_resolution,[status(thm)],[31150, 31146])).
% 54.89/35.06 tff(31152,plain,
% 54.89/35.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB163, constB164)) | (~v127(constB163, 2)) | v129(constB164, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB163, constB164)) | (~v127(constB163, 2)) | v129(constB164, 2))),
% 54.89/35.06 inference(rewrite,[status(thm)],[])).
% 54.89/35.06 tff(31153,plain,
% 54.89/35.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB163, constB164)) | (~v127(constB163, 2)) | v129(constB164, 2))),
% 54.89/35.06 inference(quant_inst,[status(thm)],[])).
% 54.89/35.06 tff(31154,plain,
% 54.89/35.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB163, constB164)) | (~v127(constB163, 2)) | v129(constB164, 2)),
% 54.89/35.06 inference(modus_ponens,[status(thm)],[31153, 31152])).
% 54.89/35.06 tff(31155,plain,
% 54.89/35.06 ((~v127(constB163, 2)) | v129(constB164, 2)),
% 54.89/35.06 inference(unit_resolution,[status(thm)],[31154, 1999, 31111])).
% 54.89/35.06 tff(31156,plain,
% 54.89/35.06 (v129(constB164, 2)),
% 54.89/35.06 inference(unit_resolution,[status(thm)],[31155, 31151])).
% 54.89/35.06 tff(31157,plain,
% 54.89/35.06 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB164, 2) | (~v129(constB164, 2)) | (~v100(constB164)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB164, 2) | (~v129(constB164, 2)) | (~v100(constB164)))),
% 54.89/35.06 inference(rewrite,[status(thm)],[])).
% 54.89/35.06 tff(31158,plain,
% 54.89/35.06 ((v90(constB164, 2) | (~v100(constB164)) | (~v129(constB164, 2))) <=> (v90(constB164, 2) | (~v129(constB164, 2)) | (~v100(constB164)))),
% 54.89/35.06 inference(rewrite,[status(thm)],[])).
% 54.89/35.06 tff(31159,plain,
% 54.89/35.06 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB164, 2) | (~v100(constB164)) | (~v129(constB164, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB164, 2) | (~v129(constB164, 2)) | (~v100(constB164))))),
% 54.89/35.06 inference(monotonicity,[status(thm)],[31158])).
% 54.89/35.06 tff(31160,plain,
% 54.89/35.06 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB164, 2) | (~v100(constB164)) | (~v129(constB164, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB164, 2) | (~v129(constB164, 2)) | (~v100(constB164)))),
% 54.89/35.06 inference(transitivity,[status(thm)],[31159, 31157])).
% 54.89/35.06 tff(31161,plain,
% 54.89/35.06 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB164, 2) | (~v100(constB164)) | (~v129(constB164, 2)))),
% 54.89/35.06 inference(quant_inst,[status(thm)],[])).
% 54.89/35.06 tff(31162,plain,
% 54.89/35.06 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB164, 2) | (~v129(constB164, 2)) | (~v100(constB164))),
% 54.89/35.06 inference(modus_ponens,[status(thm)],[31161, 31160])).
% 54.89/35.06 tff(31163,plain,
% 54.89/35.06 (v90(constB164, 2) | (~v100(constB164))),
% 54.89/35.06 inference(unit_resolution,[status(thm)],[31162, 2324, 31156])).
% 54.89/35.06 tff(31164,plain,
% 54.89/35.06 (v90(constB164, 2)),
% 54.89/35.06 inference(unit_resolution,[status(thm)],[31163, 31142])).
% 54.89/35.06 tff(31165,plain,
% 54.89/35.06 ((~v1(constB165)) <=> (~v1(constB165))),
% 54.89/35.06 inference(rewrite,[status(thm)],[])).
% 54.89/35.06 tff(31166,axiom,(~v1(constB165)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_165_1_1')).
% 54.89/35.06 tff(31167,plain,
% 54.89/35.06 (~v1(constB165)),
% 54.89/35.06 inference(modus_ponens,[status(thm)],[31166, 31165])).
% 54.89/35.06 tff(31168,plain,
% 54.89/35.06 (nextState(constB164, constB165) <=> nextState(constB164, constB165)),
% 54.89/35.06 inference(rewrite,[status(thm)],[])).
% 54.89/35.06 tff(31169,axiom,(nextState(constB164, constB165)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_164_1')).
% 54.89/35.06 tff(31170,plain,
% 54.89/35.06 (nextState(constB164, constB165)),
% 54.89/35.06 inference(modus_ponens,[status(thm)],[31169, 31168])).
% 54.89/35.06 tff(31171,plain,
% 54.89/35.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165)))),
% 54.89/35.06 inference(rewrite,[status(thm)],[])).
% 54.89/35.06 tff(31172,plain,
% 54.89/35.06 (((~nextState(constB164, constB165)) | (~v101(constB165)) | v1(constB165)) <=> (v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165)))),
% 54.89/35.06 inference(rewrite,[status(thm)],[])).
% 54.89/35.06 tff(31173,plain,
% 54.89/35.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB164, constB165)) | (~v101(constB165)) | v1(constB165))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165))))),
% 54.89/35.06 inference(monotonicity,[status(thm)],[31172])).
% 54.89/35.06 tff(31174,plain,
% 54.89/35.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB164, constB165)) | (~v101(constB165)) | v1(constB165))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165)))),
% 54.89/35.06 inference(transitivity,[status(thm)],[31173, 31171])).
% 54.89/35.06 tff(31175,plain,
% 54.89/35.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB164, constB165)) | (~v101(constB165)) | v1(constB165))),
% 54.89/35.06 inference(quant_inst,[status(thm)],[])).
% 54.89/35.06 tff(31176,plain,
% 54.89/35.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB165) | (~nextState(constB164, constB165)) | (~v101(constB165))),
% 54.89/35.07 inference(modus_ponens,[status(thm)],[31175, 31174])).
% 54.89/35.07 tff(31177,plain,
% 54.89/35.07 (~v101(constB165)),
% 54.89/35.07 inference(unit_resolution,[status(thm)],[31176, 873, 31170, 31167])).
% 54.89/35.07 tff(31178,plain,
% 54.89/35.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB164, constB165)) | v101(constB165) | (~v100(constB165)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB164, constB165)) | v101(constB165) | (~v100(constB165)))),
% 54.89/35.07 inference(rewrite,[status(thm)],[])).
% 54.89/35.07 tff(31179,plain,
% 54.89/35.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB164, constB165)) | v101(constB165) | (~v100(constB165)))),
% 54.89/35.07 inference(quant_inst,[status(thm)],[])).
% 54.89/35.07 tff(31180,plain,
% 54.89/35.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB164, constB165)) | v101(constB165) | (~v100(constB165))),
% 54.89/35.07 inference(modus_ponens,[status(thm)],[31179, 31178])).
% 54.89/35.07 tff(31181,plain,
% 54.89/35.07 (v101(constB165) | (~v100(constB165))),
% 54.89/35.07 inference(unit_resolution,[status(thm)],[31180, 890, 31170])).
% 54.89/35.07 tff(31182,plain,
% 54.89/35.07 (~v100(constB165)),
% 54.89/35.07 inference(unit_resolution,[status(thm)],[31181, 31177])).
% 54.89/35.07 tff(31183,plain,
% 54.89/35.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB164, 2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB164, 2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, 2))),
% 54.89/35.07 inference(rewrite,[status(thm)],[])).
% 54.89/35.07 tff(31184,plain,
% 54.89/35.07 (((~nextState(constB164, constB165)) | (~v90(constB164, 2)) | v100(constB165) | v90(constB165, 2)) <=> ((~v90(constB164, 2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, 2))),
% 54.89/35.07 inference(rewrite,[status(thm)],[])).
% 54.89/35.07 tff(31185,plain,
% 54.89/35.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB164, constB165)) | (~v90(constB164, 2)) | v100(constB165) | v90(constB165, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB164, 2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, 2)))),
% 54.89/35.07 inference(monotonicity,[status(thm)],[31184])).
% 54.89/35.07 tff(31186,plain,
% 54.89/35.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB164, constB165)) | (~v90(constB164, 2)) | v100(constB165) | v90(constB165, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB164, 2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, 2))),
% 54.89/35.07 inference(transitivity,[status(thm)],[31185, 31183])).
% 54.89/35.07 tff(31187,plain,
% 54.89/35.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB164, constB165)) | (~v90(constB164, 2)) | v100(constB165) | v90(constB165, 2))),
% 54.89/35.07 inference(quant_inst,[status(thm)],[])).
% 54.89/35.07 tff(31188,plain,
% 54.89/35.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB164, 2)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, 2)),
% 54.89/35.07 inference(modus_ponens,[status(thm)],[31187, 31186])).
% 54.89/35.07 tff(31189,plain,
% 54.89/35.07 ((~v90(constB164, 2)) | v100(constB165) | v90(constB165, 2)),
% 54.89/35.07 inference(unit_resolution,[status(thm)],[31188, 2174, 31170])).
% 54.89/35.07 tff(31190,plain,
% 54.89/35.07 ((~v90(constB164, 2)) | v90(constB165, 2)),
% 54.89/35.07 inference(unit_resolution,[status(thm)],[31189, 31182])).
% 54.89/35.07 tff(31191,plain,
% 54.89/35.07 (v90(constB165, 2)),
% 54.89/35.07 inference(unit_resolution,[status(thm)],[31190, 31164])).
% 54.89/35.07 tff(31192,plain,
% 54.89/35.07 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB163)) | (~v130(constB163, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB163)) | (~v130(constB163, 1)))),
% 54.89/35.07 inference(rewrite,[status(thm)],[])).
% 54.89/35.07 tff(31193,plain,
% 54.89/35.07 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB163)) | (~v130(constB163, 1)))),
% 54.89/35.07 inference(quant_inst,[status(thm)],[])).
% 54.89/35.07 tff(31194,plain,
% 54.89/35.07 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB163)) | (~v130(constB163, 1))),
% 54.89/35.07 inference(modus_ponens,[status(thm)],[31193, 31192])).
% 54.89/35.07 tff(31195,plain,
% 54.89/35.07 (~v130(constB163, 1)),
% 54.89/35.07 inference(unit_resolution,[status(thm)],[31194, 2366, 31070])).
% 54.89/35.07 tff(31196,plain,
% 54.89/35.07 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB163, 1)) | v26(constB163) | v130(constB163, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB163, 1)) | v26(constB163) | v130(constB163, 1))),
% 54.89/35.07 inference(rewrite,[status(thm)],[])).
% 54.89/35.07 tff(31197,plain,
% 54.89/35.07 ((v26(constB163) | v130(constB163, 1) | (~v127(constB163, 1))) <=> ((~v127(constB163, 1)) | v26(constB163) | v130(constB163, 1))),
% 54.89/35.07 inference(rewrite,[status(thm)],[])).
% 54.89/35.07 tff(31198,plain,
% 54.89/35.07 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB163) | v130(constB163, 1) | (~v127(constB163, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB163, 1)) | v26(constB163) | v130(constB163, 1)))),
% 54.89/35.07 inference(monotonicity,[status(thm)],[31197])).
% 54.89/35.07 tff(31199,plain,
% 54.89/35.07 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB163) | v130(constB163, 1) | (~v127(constB163, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB163, 1)) | v26(constB163) | v130(constB163, 1))),
% 54.89/35.07 inference(transitivity,[status(thm)],[31198, 31196])).
% 54.89/35.07 tff(31200,plain,
% 54.89/35.07 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB163) | v130(constB163, 1) | (~v127(constB163, 1)))),
% 54.89/35.07 inference(quant_inst,[status(thm)],[])).
% 54.89/35.07 tff(31201,plain,
% 54.89/35.07 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB163, 1)) | v26(constB163) | v130(constB163, 1)),
% 54.89/35.07 inference(modus_ponens,[status(thm)],[31200, 31199])).
% 54.89/35.07 tff(31202,plain,
% 54.89/35.07 ((~v127(constB163, 1)) | v130(constB163, 1)),
% 54.89/35.07 inference(unit_resolution,[status(thm)],[31201, 1276, 31096])).
% 54.89/35.07 tff(31203,plain,
% 54.89/35.07 (~v127(constB163, 1)),
% 54.89/35.07 inference(unit_resolution,[status(thm)],[31202, 31195])).
% 54.89/35.07 tff(31204,plain,
% 54.89/35.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB163, constB164)) | v127(constB163, 1) | (~v129(constB164, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB163, constB164)) | v127(constB163, 1) | (~v129(constB164, 1)))),
% 54.89/35.07 inference(rewrite,[status(thm)],[])).
% 54.89/35.07 tff(31205,plain,
% 54.89/35.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB163, constB164)) | v127(constB163, 1) | (~v129(constB164, 1)))),
% 54.89/35.07 inference(quant_inst,[status(thm)],[])).
% 54.89/35.07 tff(31206,plain,
% 54.89/35.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB163, constB164)) | v127(constB163, 1) | (~v129(constB164, 1))),
% 54.89/35.07 inference(modus_ponens,[status(thm)],[31205, 31204])).
% 54.89/35.07 tff(31207,plain,
% 54.89/35.07 (v127(constB163, 1) | (~v129(constB164, 1))),
% 54.89/35.07 inference(unit_resolution,[status(thm)],[31206, 1294, 31111])).
% 54.89/35.07 tff(31208,plain,
% 54.89/35.07 (~v129(constB164, 1)),
% 54.89/35.07 inference(unit_resolution,[status(thm)],[31207, 31203])).
% 54.89/35.07 tff(31209,plain,
% 54.89/35.07 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB164, 1)) | v129(constB164, 1) | (~v100(constB164)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB164, 1)) | v129(constB164, 1) | (~v100(constB164)))),
% 54.89/35.07 inference(rewrite,[status(thm)],[])).
% 54.89/35.07 tff(31210,plain,
% 54.89/35.07 (((~v90(constB164, 1)) | (~v100(constB164)) | v129(constB164, 1)) <=> ((~v90(constB164, 1)) | v129(constB164, 1) | (~v100(constB164)))),
% 54.89/35.07 inference(rewrite,[status(thm)],[])).
% 54.89/35.07 tff(31211,plain,
% 54.89/35.07 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB164, 1)) | (~v100(constB164)) | v129(constB164, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB164, 1)) | v129(constB164, 1) | (~v100(constB164))))),
% 54.89/35.07 inference(monotonicity,[status(thm)],[31210])).
% 54.89/35.07 tff(31212,plain,
% 54.89/35.07 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB164, 1)) | (~v100(constB164)) | v129(constB164, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB164, 1)) | v129(constB164, 1) | (~v100(constB164)))),
% 54.89/35.07 inference(transitivity,[status(thm)],[31211, 31209])).
% 54.89/35.07 tff(31213,plain,
% 54.89/35.07 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB164, 1)) | (~v100(constB164)) | v129(constB164, 1))),
% 54.89/35.07 inference(quant_inst,[status(thm)],[])).
% 54.89/35.07 tff(31214,plain,
% 54.89/35.07 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB164, 1)) | v129(constB164, 1) | (~v100(constB164))),
% 54.89/35.07 inference(modus_ponens,[status(thm)],[31213, 31212])).
% 54.89/35.07 tff(31215,plain,
% 54.89/35.07 ((~v90(constB164, 1)) | (~v100(constB164))),
% 54.89/35.07 inference(unit_resolution,[status(thm)],[31214, 1309, 31208])).
% 54.89/35.07 tff(31216,plain,
% 54.89/35.07 (~v90(constB164, 1)),
% 54.89/35.07 inference(unit_resolution,[status(thm)],[31215, 31142])).
% 54.89/35.07 tff(31217,plain,
% 54.89/35.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB164, 1) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB164, 1) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 1)))),
% 54.89/35.07 inference(rewrite,[status(thm)],[])).
% 54.89/35.07 tff(31218,plain,
% 54.89/35.07 (((~nextState(constB164, constB165)) | v90(constB164, 1) | v100(constB165) | (~v90(constB165, 1))) <=> (v90(constB164, 1) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 1)))),
% 54.89/35.07 inference(rewrite,[status(thm)],[])).
% 54.89/35.07 tff(31219,plain,
% 54.89/35.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB164, constB165)) | v90(constB164, 1) | v100(constB165) | (~v90(constB165, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB164, 1) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 1))))),
% 54.89/35.07 inference(monotonicity,[status(thm)],[31218])).
% 54.89/35.07 tff(31220,plain,
% 54.89/35.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB164, constB165)) | v90(constB164, 1) | v100(constB165) | (~v90(constB165, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB164, 1) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 1)))),
% 54.89/35.07 inference(transitivity,[status(thm)],[31219, 31217])).
% 54.89/35.07 tff(31221,plain,
% 54.89/35.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB164, constB165)) | v90(constB164, 1) | v100(constB165) | (~v90(constB165, 1)))),
% 54.89/35.07 inference(quant_inst,[status(thm)],[])).
% 54.89/35.07 tff(31222,plain,
% 54.89/35.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB164, 1) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 1))),
% 54.89/35.07 inference(modus_ponens,[status(thm)],[31221, 31220])).
% 54.89/35.07 tff(31223,plain,
% 54.89/35.07 (v90(constB164, 1) | v100(constB165) | (~v90(constB165, 1))),
% 54.89/35.07 inference(unit_resolution,[status(thm)],[31222, 926, 31170])).
% 54.89/35.07 tff(31224,plain,
% 54.89/35.07 (v90(constB164, 1) | (~v90(constB165, 1))),
% 54.89/35.07 inference(unit_resolution,[status(thm)],[31223, 31182])).
% 54.89/35.07 tff(31225,plain,
% 54.89/35.07 (~v90(constB165, 1)),
% 54.89/35.07 inference(unit_resolution,[status(thm)],[31224, 31216])).
% 54.89/35.07 tff(31226,plain,
% 54.89/35.07 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB163)) | (~v130(constB163, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB163)) | (~v130(constB163, 0)))),
% 54.89/35.07 inference(rewrite,[status(thm)],[])).
% 54.89/35.07 tff(31227,plain,
% 54.89/35.07 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB163)) | (~v130(constB163, 0)))),
% 54.89/35.07 inference(quant_inst,[status(thm)],[])).
% 54.89/35.07 tff(31228,plain,
% 54.89/35.07 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB163)) | (~v130(constB163, 0))),
% 54.89/35.07 inference(modus_ponens,[status(thm)],[31227, 31226])).
% 54.89/35.07 tff(31229,plain,
% 54.89/35.07 (~v130(constB163, 0)),
% 54.89/35.07 inference(unit_resolution,[status(thm)],[31228, 2407, 31070])).
% 54.89/35.07 tff(31230,plain,
% 54.89/35.07 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB163, 0)) | v26(constB163) | v130(constB163, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB163, 0)) | v26(constB163) | v130(constB163, 0))),
% 54.89/35.07 inference(rewrite,[status(thm)],[])).
% 54.89/35.07 tff(31231,plain,
% 54.89/35.07 ((v26(constB163) | v130(constB163, 0) | (~v127(constB163, 0))) <=> ((~v127(constB163, 0)) | v26(constB163) | v130(constB163, 0))),
% 54.89/35.07 inference(rewrite,[status(thm)],[])).
% 54.89/35.07 tff(31232,plain,
% 54.89/35.07 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB163) | v130(constB163, 0) | (~v127(constB163, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB163, 0)) | v26(constB163) | v130(constB163, 0)))),
% 54.89/35.07 inference(monotonicity,[status(thm)],[31231])).
% 54.89/35.07 tff(31233,plain,
% 54.89/35.07 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB163) | v130(constB163, 0) | (~v127(constB163, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB163, 0)) | v26(constB163) | v130(constB163, 0))),
% 54.89/35.07 inference(transitivity,[status(thm)],[31232, 31230])).
% 54.89/35.07 tff(31234,plain,
% 54.89/35.07 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB163) | v130(constB163, 0) | (~v127(constB163, 0)))),
% 54.89/35.07 inference(quant_inst,[status(thm)],[])).
% 54.89/35.07 tff(31235,plain,
% 54.89/35.07 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB163, 0)) | v26(constB163) | v130(constB163, 0)),
% 54.89/35.07 inference(modus_ponens,[status(thm)],[31234, 31233])).
% 54.89/35.07 tff(31236,plain,
% 54.89/35.07 ((~v127(constB163, 0)) | v130(constB163, 0)),
% 54.89/35.07 inference(unit_resolution,[status(thm)],[31235, 1671, 31096])).
% 54.89/35.07 tff(31237,plain,
% 54.89/35.07 (~v127(constB163, 0)),
% 54.89/35.07 inference(unit_resolution,[status(thm)],[31236, 31229])).
% 54.89/35.07 tff(31238,plain,
% 54.89/35.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB163, constB164)) | v127(constB163, 0) | (~v129(constB164, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB163, constB164)) | v127(constB163, 0) | (~v129(constB164, 0)))),
% 54.89/35.07 inference(rewrite,[status(thm)],[])).
% 54.89/35.07 tff(31239,plain,
% 54.89/35.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB163, constB164)) | v127(constB163, 0) | (~v129(constB164, 0)))),
% 54.89/35.07 inference(quant_inst,[status(thm)],[])).
% 54.89/35.07 tff(31240,plain,
% 54.89/35.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB163, constB164)) | v127(constB163, 0) | (~v129(constB164, 0))),
% 54.89/35.07 inference(modus_ponens,[status(thm)],[31239, 31238])).
% 54.89/35.07 tff(31241,plain,
% 54.89/35.07 (v127(constB163, 0) | (~v129(constB164, 0))),
% 54.89/35.07 inference(unit_resolution,[status(thm)],[31240, 1689, 31111])).
% 54.89/35.07 tff(31242,plain,
% 54.89/35.07 (~v129(constB164, 0)),
% 54.89/35.07 inference(unit_resolution,[status(thm)],[31241, 31237])).
% 54.89/35.07 tff(31243,plain,
% 54.89/35.07 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB164, 0)) | v129(constB164, 0) | (~v100(constB164)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB164, 0)) | v129(constB164, 0) | (~v100(constB164)))),
% 54.89/35.07 inference(rewrite,[status(thm)],[])).
% 54.89/35.07 tff(31244,plain,
% 54.89/35.07 (((~v90(constB164, 0)) | (~v100(constB164)) | v129(constB164, 0)) <=> ((~v90(constB164, 0)) | v129(constB164, 0) | (~v100(constB164)))),
% 54.89/35.07 inference(rewrite,[status(thm)],[])).
% 54.89/35.07 tff(31245,plain,
% 54.89/35.07 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB164, 0)) | (~v100(constB164)) | v129(constB164, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB164, 0)) | v129(constB164, 0) | (~v100(constB164))))),
% 54.89/35.07 inference(monotonicity,[status(thm)],[31244])).
% 54.89/35.07 tff(31246,plain,
% 54.89/35.07 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB164, 0)) | (~v100(constB164)) | v129(constB164, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB164, 0)) | v129(constB164, 0) | (~v100(constB164)))),
% 54.89/35.07 inference(transitivity,[status(thm)],[31245, 31243])).
% 54.89/35.07 tff(31247,plain,
% 54.89/35.07 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB164, 0)) | (~v100(constB164)) | v129(constB164, 0))),
% 54.89/35.07 inference(quant_inst,[status(thm)],[])).
% 54.89/35.07 tff(31248,plain,
% 54.89/35.07 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB164, 0)) | v129(constB164, 0) | (~v100(constB164))),
% 54.89/35.07 inference(modus_ponens,[status(thm)],[31247, 31246])).
% 54.89/35.07 tff(31249,plain,
% 54.89/35.07 ((~v90(constB164, 0)) | (~v100(constB164))),
% 54.89/35.07 inference(unit_resolution,[status(thm)],[31248, 1704, 31242])).
% 54.89/35.07 tff(31250,plain,
% 54.89/35.07 (~v90(constB164, 0)),
% 54.89/35.07 inference(unit_resolution,[status(thm)],[31249, 31142])).
% 54.89/35.07 tff(31251,plain,
% 54.89/35.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB164, 0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB164, 0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 0)))),
% 54.89/35.07 inference(rewrite,[status(thm)],[])).
% 54.89/35.07 tff(31252,plain,
% 54.89/35.07 (((~nextState(constB164, constB165)) | v90(constB164, 0) | v100(constB165) | (~v90(constB165, 0))) <=> (v90(constB164, 0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 0)))),
% 54.89/35.07 inference(rewrite,[status(thm)],[])).
% 54.89/35.07 tff(31253,plain,
% 54.89/35.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB164, constB165)) | v90(constB164, 0) | v100(constB165) | (~v90(constB165, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB164, 0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 0))))),
% 54.89/35.07 inference(monotonicity,[status(thm)],[31252])).
% 54.89/35.07 tff(31254,plain,
% 54.89/35.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB164, constB165)) | v90(constB164, 0) | v100(constB165) | (~v90(constB165, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB164, 0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 0)))),
% 54.89/35.07 inference(transitivity,[status(thm)],[31253, 31251])).
% 54.89/35.07 tff(31255,plain,
% 54.89/35.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB164, constB165)) | v90(constB164, 0) | v100(constB165) | (~v90(constB165, 0)))),
% 54.89/35.07 inference(quant_inst,[status(thm)],[])).
% 54.89/35.07 tff(31256,plain,
% 54.89/35.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB164, 0) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 0))),
% 54.89/35.07 inference(modus_ponens,[status(thm)],[31255, 31254])).
% 54.89/35.07 tff(31257,plain,
% 54.89/35.07 (v90(constB164, 0) | v100(constB165) | (~v90(constB165, 0))),
% 54.89/35.07 inference(unit_resolution,[status(thm)],[31256, 947, 31170])).
% 54.89/35.07 tff(31258,plain,
% 54.89/35.07 (v90(constB164, 0) | (~v90(constB165, 0))),
% 54.89/35.07 inference(unit_resolution,[status(thm)],[31257, 31182])).
% 54.89/35.07 tff(31259,plain,
% 54.89/35.07 (~v90(constB165, 0)),
% 54.89/35.07 inference(unit_resolution,[status(thm)],[31258, 31250])).
% 54.89/35.07 tff(31260,plain,
% 54.89/35.07 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB165, 0) | v90(constB165, 1) | (~v90(constB165, 2)) | v123(constB165))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB165, 0) | v90(constB165, 1) | (~v90(constB165, 2)) | v123(constB165))),
% 54.89/35.07 inference(rewrite,[status(thm)],[])).
% 54.89/35.07 tff(31261,plain,
% 54.89/35.07 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB165, 0) | v90(constB165, 1) | (~v90(constB165, 2)) | v123(constB165))),
% 54.89/35.07 inference(quant_inst,[status(thm)],[])).
% 54.89/35.07 tff(31262,plain,
% 54.89/35.07 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB165, 0) | v90(constB165, 1) | (~v90(constB165, 2)) | v123(constB165)),
% 54.89/35.07 inference(modus_ponens,[status(thm)],[31261, 31260])).
% 54.89/35.07 tff(31263,plain,
% 54.89/35.07 (v123(constB165)),
% 54.89/35.07 inference(unit_resolution,[status(thm)],[31262, 2308, 31259, 31225, 31191])).
% 54.89/35.07 tff(31264,plain,
% 54.89/35.07 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB165)) | v115(constB165))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB165)) | v115(constB165))),
% 54.89/35.07 inference(rewrite,[status(thm)],[])).
% 54.89/35.07 tff(31265,plain,
% 54.89/35.07 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB165)) | v115(constB165))),
% 54.89/35.07 inference(quant_inst,[status(thm)],[])).
% 54.89/35.07 tff(31266,plain,
% 54.89/35.07 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB165)) | v115(constB165)),
% 54.89/35.07 inference(modus_ponens,[status(thm)],[31265, 31264])).
% 54.89/35.07 tff(31267,plain,
% 54.89/35.07 (v115(constB165)),
% 54.89/35.07 inference(unit_resolution,[status(thm)],[31266, 2291, 31263])).
% 54.89/35.07 tff(31268,plain,
% 54.89/35.07 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB165) | (~v115(constB165)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB165) | (~v115(constB165)))),
% 54.89/35.07 inference(rewrite,[status(thm)],[])).
% 54.89/35.07 tff(31269,plain,
% 54.89/35.07 (((~v115(constB165)) | v114(constB165)) <=> (v114(constB165) | (~v115(constB165)))),
% 54.89/35.07 inference(rewrite,[status(thm)],[])).
% 54.89/35.07 tff(31270,plain,
% 54.89/35.07 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB165)) | v114(constB165))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB165) | (~v115(constB165))))),
% 54.89/35.07 inference(monotonicity,[status(thm)],[31269])).
% 54.89/35.07 tff(31271,plain,
% 54.89/35.07 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB165)) | v114(constB165))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB165) | (~v115(constB165)))),
% 54.89/35.07 inference(transitivity,[status(thm)],[31270, 31268])).
% 54.89/35.07 tff(31272,plain,
% 54.89/35.07 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB165)) | v114(constB165))),
% 54.89/35.07 inference(quant_inst,[status(thm)],[])).
% 54.89/35.07 tff(31273,plain,
% 54.89/35.07 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB165) | (~v115(constB165))),
% 54.89/35.07 inference(modus_ponens,[status(thm)],[31272, 31271])).
% 54.89/35.07 tff(31274,plain,
% 54.89/35.07 (v114(constB165)),
% 54.89/35.07 inference(unit_resolution,[status(thm)],[31273, 1035, 31267])).
% 54.89/35.07 tff(31275,plain,
% 54.89/35.07 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB165) | (~v114(constB165)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB165) | (~v114(constB165)))),
% 54.89/35.07 inference(rewrite,[status(thm)],[])).
% 54.89/35.07 tff(31276,plain,
% 54.89/35.07 (((~v114(constB165)) | v113(constB165)) <=> (v113(constB165) | (~v114(constB165)))),
% 54.89/35.07 inference(rewrite,[status(thm)],[])).
% 54.89/35.07 tff(31277,plain,
% 54.89/35.07 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB165)) | v113(constB165))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB165) | (~v114(constB165))))),
% 54.89/35.07 inference(monotonicity,[status(thm)],[31276])).
% 54.89/35.07 tff(31278,plain,
% 54.89/35.07 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB165)) | v113(constB165))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB165) | (~v114(constB165)))),
% 54.89/35.07 inference(transitivity,[status(thm)],[31277, 31275])).
% 54.89/35.07 tff(31279,plain,
% 54.89/35.07 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB165)) | v113(constB165))),
% 54.89/35.07 inference(quant_inst,[status(thm)],[])).
% 54.89/35.07 tff(31280,plain,
% 54.89/35.07 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB165) | (~v114(constB165))),
% 54.89/35.07 inference(modus_ponens,[status(thm)],[31279, 31278])).
% 54.89/35.07 tff(31281,plain,
% 54.89/35.07 (v113(constB165)),
% 54.89/35.07 inference(unit_resolution,[status(thm)],[31280, 1049, 31274])).
% 54.89/35.07 tff(31282,assumption,(v26(constB165)), introduced(assumption)).
% 54.89/35.07 tff(31283,plain,
% 54.89/35.07 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB165))),
% 54.89/35.07 inference(quant_inst,[status(thm)],[])).
% 54.89/35.07 tff(31284,plain,
% 54.89/35.07 ($false),
% 54.89/35.07 inference(unit_resolution,[status(thm)],[31283, 828, 31282])).
% 54.89/35.07 tff(31285,plain,(~v26(constB165)), inference(lemma,lemma(discharge,[]))).
% 54.89/35.07 tff(31286,plain,
% 54.89/35.07 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB165) | (~v113(constB165)) | v112(constB165))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB165) | (~v113(constB165)) | v112(constB165))),
% 54.89/35.07 inference(rewrite,[status(thm)],[])).
% 54.89/35.07 tff(31287,plain,
% 54.89/35.07 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB165) | (~v113(constB165)) | v112(constB165))),
% 54.89/35.07 inference(quant_inst,[status(thm)],[])).
% 54.89/35.07 tff(31288,plain,
% 54.89/35.07 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB165) | (~v113(constB165)) | v112(constB165)),
% 54.89/35.07 inference(modus_ponens,[status(thm)],[31287, 31286])).
% 54.89/35.07 tff(31289,plain,
% 54.89/35.07 ((~v113(constB165)) | v112(constB165)),
% 54.89/35.07 inference(unit_resolution,[status(thm)],[31288, 1063, 31285])).
% 54.89/35.07 tff(31290,plain,
% 54.89/35.07 (v112(constB165)),
% 54.89/35.07 inference(unit_resolution,[status(thm)],[31289, 31281])).
% 54.89/35.07 tff(31291,plain,
% 54.89/35.07 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB165) | (~v112(constB165)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB165) | (~v112(constB165)))),
% 54.89/35.07 inference(rewrite,[status(thm)],[])).
% 54.89/35.07 tff(31292,plain,
% 54.89/35.07 (((~v112(constB165)) | v108(constB165)) <=> (v108(constB165) | (~v112(constB165)))),
% 54.89/35.07 inference(rewrite,[status(thm)],[])).
% 54.89/35.07 tff(31293,plain,
% 54.89/35.07 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB165)) | v108(constB165))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB165) | (~v112(constB165))))),
% 54.89/35.07 inference(monotonicity,[status(thm)],[31292])).
% 54.89/35.07 tff(31294,plain,
% 54.89/35.07 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB165)) | v108(constB165))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB165) | (~v112(constB165)))),
% 54.89/35.07 inference(transitivity,[status(thm)],[31293, 31291])).
% 54.89/35.07 tff(31295,plain,
% 54.89/35.07 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB165)) | v108(constB165))),
% 54.89/35.07 inference(quant_inst,[status(thm)],[])).
% 54.89/35.07 tff(31296,plain,
% 54.89/35.07 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB165) | (~v112(constB165))),
% 54.89/35.07 inference(modus_ponens,[status(thm)],[31295, 31294])).
% 54.89/35.07 tff(31297,plain,
% 54.89/35.07 (v108(constB165)),
% 54.89/35.07 inference(unit_resolution,[status(thm)],[31296, 1075, 31290])).
% 54.89/35.07 tff(31298,plain,
% 54.89/35.07 (nextState(constB165, constB166) <=> nextState(constB165, constB166)),
% 54.89/35.07 inference(rewrite,[status(thm)],[])).
% 54.89/35.07 tff(31299,axiom,(nextState(constB165, constB166)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_165_1')).
% 54.89/35.07 tff(31300,plain,
% 54.89/35.07 (nextState(constB165, constB166)),
% 54.89/35.07 inference(modus_ponens,[status(thm)],[31299, 31298])).
% 54.89/35.07 tff(31301,plain,
% 54.89/35.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165)))),
% 54.89/35.07 inference(rewrite,[status(thm)],[])).
% 54.89/35.07 tff(31302,plain,
% 54.89/35.07 (((~nextState(constB165, constB166)) | (~v108(constB165)) | v110(constB166)) <=> ((~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165)))),
% 54.89/35.07 inference(rewrite,[status(thm)],[])).
% 54.89/35.07 tff(31303,plain,
% 54.89/35.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB165, constB166)) | (~v108(constB165)) | v110(constB166))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165))))),
% 54.89/35.07 inference(monotonicity,[status(thm)],[31302])).
% 54.89/35.07 tff(31304,plain,
% 54.89/35.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB165, constB166)) | (~v108(constB165)) | v110(constB166))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165)))),
% 54.89/35.07 inference(transitivity,[status(thm)],[31303, 31301])).
% 54.89/35.07 tff(31305,plain,
% 54.89/35.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB165, constB166)) | (~v108(constB165)) | v110(constB166))),
% 54.89/35.07 inference(quant_inst,[status(thm)],[])).
% 54.89/35.07 tff(31306,plain,
% 54.89/35.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB165, constB166)) | v110(constB166) | (~v108(constB165))),
% 54.89/35.07 inference(modus_ponens,[status(thm)],[31305, 31304])).
% 54.89/35.07 tff(31307,plain,
% 54.89/35.07 (v110(constB166) | (~v108(constB165))),
% 54.89/35.07 inference(unit_resolution,[status(thm)],[31306, 1095, 31300])).
% 54.89/35.07 tff(31308,plain,
% 54.89/35.07 (v110(constB166)),
% 54.89/35.07 inference(unit_resolution,[status(thm)],[31307, 31297])).
% 54.89/35.07 tff(31309,plain,
% 54.89/35.07 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB165) | (~nextState(constB165, constB166)) | (~v104(constB166)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB165) | (~nextState(constB165, constB166)) | (~v104(constB166)))),
% 54.89/35.07 inference(rewrite,[status(thm)],[])).
% 54.89/35.07 tff(31310,plain,
% 54.89/35.07 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB165) | (~nextState(constB165, constB166)) | (~v104(constB166)))),
% 54.89/35.07 inference(quant_inst,[status(thm)],[])).
% 54.89/35.07 tff(31311,plain,
% 54.89/35.07 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB165) | (~nextState(constB165, constB166)) | (~v104(constB166))),
% 54.89/35.07 inference(modus_ponens,[status(thm)],[31310, 31309])).
% 54.89/35.07 tff(31312,plain,
% 54.89/35.07 (~v104(constB166)),
% 54.89/35.07 inference(unit_resolution,[status(thm)],[31311, 1113, 31300, 31167])).
% 54.89/35.07 tff(31313,plain,
% 54.89/35.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB165, constB166)) | v102(constB166) | v104(constB166))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB165, constB166)) | v102(constB166) | v104(constB166))),
% 54.89/35.07 inference(rewrite,[status(thm)],[])).
% 54.89/35.07 tff(31314,plain,
% 54.89/35.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB165, constB166)) | v102(constB166) | v104(constB166))),
% 54.89/35.07 inference(quant_inst,[status(thm)],[])).
% 54.89/35.07 tff(31315,plain,
% 54.89/35.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB165, constB166)) | v102(constB166) | v104(constB166)),
% 54.89/35.07 inference(modus_ponens,[status(thm)],[31314, 31313])).
% 54.89/35.07 tff(31316,plain,
% 54.89/35.07 (v102(constB166) | v104(constB166)),
% 54.89/35.07 inference(unit_resolution,[status(thm)],[31315, 1127, 31300])).
% 54.89/35.07 tff(31317,plain,
% 54.89/35.07 (v102(constB166)),
% 54.89/35.07 inference(unit_resolution,[status(thm)],[31316, 31312])).
% 54.89/35.07 tff(31318,plain,
% 54.89/35.07 (v1(constB166) <=> v1(constB166)),
% 54.89/35.07 inference(rewrite,[status(thm)],[])).
% 54.89/35.07 tff(31319,axiom,(v1(constB166)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_166_1')).
% 54.89/35.07 tff(31320,plain,
% 54.89/35.07 (v1(constB166)),
% 54.89/35.07 inference(modus_ponens,[status(thm)],[31319, 31318])).
% 54.89/35.07 tff(31321,plain,
% 54.89/35.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB165, constB166)) | v101(constB166) | (~v102(constB166)) | (~v1(constB166)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB165, constB166)) | v101(constB166) | (~v102(constB166)) | (~v1(constB166)))),
% 54.89/35.07 inference(rewrite,[status(thm)],[])).
% 54.89/35.07 tff(31322,plain,
% 54.89/35.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB165, constB166)) | v101(constB166) | (~v102(constB166)) | (~v1(constB166)))),
% 54.89/35.07 inference(quant_inst,[status(thm)],[])).
% 54.89/35.07 tff(31323,plain,
% 54.89/35.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB165, constB166)) | v101(constB166) | (~v102(constB166)) | (~v1(constB166))),
% 54.89/35.07 inference(modus_ponens,[status(thm)],[31322, 31321])).
% 54.89/35.07 tff(31324,plain,
% 54.89/35.07 (v101(constB166) | (~v102(constB166))),
% 54.89/35.07 inference(unit_resolution,[status(thm)],[31323, 1145, 31300, 31320])).
% 54.89/35.07 tff(31325,plain,
% 54.89/35.07 (v101(constB166)),
% 54.89/35.07 inference(unit_resolution,[status(thm)],[31324, 31317])).
% 54.89/35.07 tff(31326,plain,
% 54.89/35.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166)))),
% 54.89/35.07 inference(rewrite,[status(thm)],[])).
% 54.89/35.07 tff(31327,plain,
% 54.89/35.07 (((~nextState(constB165, constB166)) | (~v101(constB166)) | (~v110(constB166)) | v100(constB166)) <=> ((~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166)))),
% 54.89/35.07 inference(rewrite,[status(thm)],[])).
% 54.89/35.07 tff(31328,plain,
% 54.89/35.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB165, constB166)) | (~v101(constB166)) | (~v110(constB166)) | v100(constB166))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166))))),
% 54.89/35.07 inference(monotonicity,[status(thm)],[31327])).
% 54.89/35.07 tff(31329,plain,
% 54.89/35.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB165, constB166)) | (~v101(constB166)) | (~v110(constB166)) | v100(constB166))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166)))),
% 54.89/35.07 inference(transitivity,[status(thm)],[31328, 31326])).
% 54.89/35.07 tff(31330,plain,
% 54.89/35.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB165, constB166)) | (~v101(constB166)) | (~v110(constB166)) | v100(constB166))),
% 54.89/35.07 inference(quant_inst,[status(thm)],[])).
% 54.89/35.07 tff(31331,plain,
% 54.89/35.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB165, constB166)) | v100(constB166) | (~v101(constB166)) | (~v110(constB166))),
% 54.89/35.07 inference(modus_ponens,[status(thm)],[31330, 31329])).
% 54.89/35.07 tff(31332,plain,
% 54.89/35.07 (v100(constB166) | (~v101(constB166)) | (~v110(constB166))),
% 54.89/35.07 inference(unit_resolution,[status(thm)],[31331, 1160, 31300])).
% 54.89/35.07 tff(31333,plain,
% 54.89/35.07 (v100(constB166) | (~v110(constB166))),
% 54.89/35.07 inference(unit_resolution,[status(thm)],[31332, 31325])).
% 54.89/35.07 tff(31334,plain,
% 54.89/35.07 (v100(constB166)),
% 54.89/35.07 inference(unit_resolution,[status(thm)],[31333, 31308])).
% 54.89/35.07 tff(31335,plain,
% 54.89/35.07 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB165)) | v130(constB165, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB165)) | v130(constB165, 0))),
% 54.89/35.07 inference(rewrite,[status(thm)],[])).
% 54.89/35.07 tff(31336,plain,
% 54.89/35.07 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB165)) | v130(constB165, 0))),
% 54.89/35.07 inference(quant_inst,[status(thm)],[])).
% 54.89/35.07 tff(31337,plain,
% 54.89/35.07 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB165)) | v130(constB165, 0)),
% 54.89/35.07 inference(modus_ponens,[status(thm)],[31336, 31335])).
% 54.89/35.07 tff(31338,plain,
% 54.89/35.07 (v130(constB165, 0)),
% 54.89/35.07 inference(unit_resolution,[status(thm)],[31337, 2622, 31263])).
% 54.89/35.07 tff(31339,plain,
% 54.89/35.07 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB165) | (~v130(constB165, 0)) | v127(constB165, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB165) | (~v130(constB165, 0)) | v127(constB165, 0))),
% 54.89/35.07 inference(rewrite,[status(thm)],[])).
% 54.89/35.07 tff(31340,plain,
% 54.89/35.07 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB165) | (~v130(constB165, 0)) | v127(constB165, 0))),
% 54.89/35.07 inference(quant_inst,[status(thm)],[])).
% 54.89/35.07 tff(31341,plain,
% 54.89/35.07 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB165) | (~v130(constB165, 0)) | v127(constB165, 0)),
% 54.89/35.07 inference(modus_ponens,[status(thm)],[31340, 31339])).
% 54.89/35.07 tff(31342,plain,
% 54.89/35.07 ((~v130(constB165, 0)) | v127(constB165, 0)),
% 54.89/35.07 inference(unit_resolution,[status(thm)],[31341, 1347, 31285])).
% 54.89/35.07 tff(31343,plain,
% 54.89/35.07 (v127(constB165, 0)),
% 54.89/35.07 inference(unit_resolution,[status(thm)],[31342, 31338])).
% 54.89/35.07 tff(31344,plain,
% 54.89/35.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB165, constB166)) | (~v127(constB165, 0)) | v129(constB166, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB165, constB166)) | (~v127(constB165, 0)) | v129(constB166, 0))),
% 54.89/35.07 inference(rewrite,[status(thm)],[])).
% 54.89/35.07 tff(31345,plain,
% 54.89/35.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB165, constB166)) | (~v127(constB165, 0)) | v129(constB166, 0))),
% 54.89/35.07 inference(quant_inst,[status(thm)],[])).
% 54.89/35.07 tff(31346,plain,
% 54.89/35.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB165, constB166)) | (~v127(constB165, 0)) | v129(constB166, 0)),
% 54.89/35.07 inference(modus_ponens,[status(thm)],[31345, 31344])).
% 54.89/35.07 tff(31347,plain,
% 54.89/35.07 ((~v127(constB165, 0)) | v129(constB166, 0)),
% 54.89/35.07 inference(unit_resolution,[status(thm)],[31346, 1362, 31300])).
% 54.89/35.07 tff(31348,plain,
% 54.89/35.07 (v129(constB166, 0)),
% 54.89/35.07 inference(unit_resolution,[status(thm)],[31347, 31343])).
% 54.89/35.07 tff(31349,plain,
% 54.89/35.07 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB166, 0) | (~v129(constB166, 0)) | (~v100(constB166)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB166, 0) | (~v129(constB166, 0)) | (~v100(constB166)))),
% 54.89/35.07 inference(rewrite,[status(thm)],[])).
% 54.89/35.07 tff(31350,plain,
% 54.89/35.07 ((v90(constB166, 0) | (~v100(constB166)) | (~v129(constB166, 0))) <=> (v90(constB166, 0) | (~v129(constB166, 0)) | (~v100(constB166)))),
% 54.89/35.07 inference(rewrite,[status(thm)],[])).
% 54.89/35.07 tff(31351,plain,
% 54.89/35.07 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB166, 0) | (~v100(constB166)) | (~v129(constB166, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB166, 0) | (~v129(constB166, 0)) | (~v100(constB166))))),
% 54.89/35.07 inference(monotonicity,[status(thm)],[31350])).
% 54.89/35.07 tff(31352,plain,
% 54.89/35.07 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB166, 0) | (~v100(constB166)) | (~v129(constB166, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB166, 0) | (~v129(constB166, 0)) | (~v100(constB166)))),
% 54.89/35.07 inference(transitivity,[status(thm)],[31351, 31349])).
% 54.89/35.07 tff(31353,plain,
% 54.89/35.07 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB166, 0) | (~v100(constB166)) | (~v129(constB166, 0)))),
% 54.89/35.07 inference(quant_inst,[status(thm)],[])).
% 54.89/35.07 tff(31354,plain,
% 54.89/35.07 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB166, 0) | (~v129(constB166, 0)) | (~v100(constB166))),
% 54.89/35.07 inference(modus_ponens,[status(thm)],[31353, 31352])).
% 54.89/35.07 tff(31355,plain,
% 54.89/35.07 (v90(constB166, 0) | (~v100(constB166))),
% 54.89/35.07 inference(unit_resolution,[status(thm)],[31354, 1377, 31348])).
% 54.89/35.07 tff(31356,plain,
% 54.89/35.07 (v90(constB166, 0)),
% 54.89/35.07 inference(unit_resolution,[status(thm)],[31355, 31334])).
% 54.89/35.07 tff(31357,plain,
% 54.89/35.07 ((~v1(constB167)) <=> (~v1(constB167))),
% 54.89/35.07 inference(rewrite,[status(thm)],[])).
% 54.89/35.07 tff(31358,axiom,(~v1(constB167)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_167_1_1')).
% 54.89/35.07 tff(31359,plain,
% 54.89/35.07 (~v1(constB167)),
% 54.89/35.07 inference(modus_ponens,[status(thm)],[31358, 31357])).
% 54.89/35.07 tff(31360,plain,
% 54.89/35.07 (nextState(constB166, constB167) <=> nextState(constB166, constB167)),
% 54.89/35.07 inference(rewrite,[status(thm)],[])).
% 54.89/35.07 tff(31361,axiom,(nextState(constB166, constB167)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_166_1')).
% 54.89/35.07 tff(31362,plain,
% 54.89/35.07 (nextState(constB166, constB167)),
% 54.89/35.07 inference(modus_ponens,[status(thm)],[31361, 31360])).
% 54.89/35.07 tff(31363,plain,
% 54.89/35.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167)))),
% 54.89/35.08 inference(rewrite,[status(thm)],[])).
% 54.89/35.08 tff(31364,plain,
% 54.89/35.08 (((~nextState(constB166, constB167)) | (~v101(constB167)) | v1(constB167)) <=> (v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167)))),
% 54.89/35.08 inference(rewrite,[status(thm)],[])).
% 54.89/35.08 tff(31365,plain,
% 54.89/35.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB166, constB167)) | (~v101(constB167)) | v1(constB167))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167))))),
% 54.89/35.08 inference(monotonicity,[status(thm)],[31364])).
% 54.89/35.08 tff(31366,plain,
% 54.89/35.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB166, constB167)) | (~v101(constB167)) | v1(constB167))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167)))),
% 54.89/35.08 inference(transitivity,[status(thm)],[31365, 31363])).
% 54.89/35.08 tff(31367,plain,
% 54.89/35.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB166, constB167)) | (~v101(constB167)) | v1(constB167))),
% 54.89/35.08 inference(quant_inst,[status(thm)],[])).
% 54.89/35.08 tff(31368,plain,
% 54.89/35.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB167) | (~nextState(constB166, constB167)) | (~v101(constB167))),
% 54.89/35.08 inference(modus_ponens,[status(thm)],[31367, 31366])).
% 54.89/35.08 tff(31369,plain,
% 54.89/35.08 (~v101(constB167)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31368, 873, 31362, 31359])).
% 54.89/35.08 tff(31370,plain,
% 54.89/35.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB166, constB167)) | v101(constB167) | (~v100(constB167)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB166, constB167)) | v101(constB167) | (~v100(constB167)))),
% 54.89/35.08 inference(rewrite,[status(thm)],[])).
% 54.89/35.08 tff(31371,plain,
% 54.89/35.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB166, constB167)) | v101(constB167) | (~v100(constB167)))),
% 54.89/35.08 inference(quant_inst,[status(thm)],[])).
% 54.89/35.08 tff(31372,plain,
% 54.89/35.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB166, constB167)) | v101(constB167) | (~v100(constB167))),
% 54.89/35.08 inference(modus_ponens,[status(thm)],[31371, 31370])).
% 54.89/35.08 tff(31373,plain,
% 54.89/35.08 (v101(constB167) | (~v100(constB167))),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31372, 890, 31362])).
% 54.89/35.08 tff(31374,plain,
% 54.89/35.08 (~v100(constB167)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31373, 31369])).
% 54.89/35.08 tff(31375,plain,
% 54.89/35.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB166, 0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB166, 0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, 0))),
% 54.89/35.08 inference(rewrite,[status(thm)],[])).
% 54.89/35.08 tff(31376,plain,
% 54.89/35.08 (((~nextState(constB166, constB167)) | (~v90(constB166, 0)) | v100(constB167) | v90(constB167, 0)) <=> ((~v90(constB166, 0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, 0))),
% 54.89/35.08 inference(rewrite,[status(thm)],[])).
% 54.89/35.08 tff(31377,plain,
% 54.89/35.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB166, constB167)) | (~v90(constB166, 0)) | v100(constB167) | v90(constB167, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB166, 0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, 0)))),
% 54.89/35.08 inference(monotonicity,[status(thm)],[31376])).
% 54.89/35.08 tff(31378,plain,
% 54.89/35.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB166, constB167)) | (~v90(constB166, 0)) | v100(constB167) | v90(constB167, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB166, 0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, 0))),
% 54.89/35.08 inference(transitivity,[status(thm)],[31377, 31375])).
% 54.89/35.08 tff(31379,plain,
% 54.89/35.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB166, constB167)) | (~v90(constB166, 0)) | v100(constB167) | v90(constB167, 0))),
% 54.89/35.08 inference(quant_inst,[status(thm)],[])).
% 54.89/35.08 tff(31380,plain,
% 54.89/35.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB166, 0)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, 0)),
% 54.89/35.08 inference(modus_ponens,[status(thm)],[31379, 31378])).
% 54.89/35.08 tff(31381,plain,
% 54.89/35.08 ((~v90(constB166, 0)) | v100(constB167) | v90(constB167, 0)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31380, 1395, 31362])).
% 54.89/35.08 tff(31382,plain,
% 54.89/35.08 ((~v90(constB166, 0)) | v90(constB167, 0)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31381, 31374])).
% 54.89/35.08 tff(31383,plain,
% 54.89/35.08 (v90(constB167, 0)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31382, 31356])).
% 54.89/35.08 tff(31384,plain,
% 54.89/35.08 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB165)) | (~v130(constB165, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB165)) | (~v130(constB165, 1)))),
% 54.89/35.08 inference(rewrite,[status(thm)],[])).
% 54.89/35.08 tff(31385,plain,
% 54.89/35.08 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB165)) | (~v130(constB165, 1)))),
% 54.89/35.08 inference(quant_inst,[status(thm)],[])).
% 54.89/35.08 tff(31386,plain,
% 54.89/35.08 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB165)) | (~v130(constB165, 1))),
% 54.89/35.08 inference(modus_ponens,[status(thm)],[31385, 31384])).
% 54.89/35.08 tff(31387,plain,
% 54.89/35.08 (~v130(constB165, 1)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31386, 2581, 31263])).
% 54.89/35.08 tff(31388,plain,
% 54.89/35.08 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB165, 1)) | v26(constB165) | v130(constB165, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB165, 1)) | v26(constB165) | v130(constB165, 1))),
% 54.89/35.08 inference(rewrite,[status(thm)],[])).
% 54.89/35.08 tff(31389,plain,
% 54.89/35.08 ((v26(constB165) | v130(constB165, 1) | (~v127(constB165, 1))) <=> ((~v127(constB165, 1)) | v26(constB165) | v130(constB165, 1))),
% 54.89/35.08 inference(rewrite,[status(thm)],[])).
% 54.89/35.08 tff(31390,plain,
% 54.89/35.08 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB165) | v130(constB165, 1) | (~v127(constB165, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB165, 1)) | v26(constB165) | v130(constB165, 1)))),
% 54.89/35.08 inference(monotonicity,[status(thm)],[31389])).
% 54.89/35.08 tff(31391,plain,
% 54.89/35.08 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB165) | v130(constB165, 1) | (~v127(constB165, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB165, 1)) | v26(constB165) | v130(constB165, 1))),
% 54.89/35.08 inference(transitivity,[status(thm)],[31390, 31388])).
% 54.89/35.08 tff(31392,plain,
% 54.89/35.08 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB165) | v130(constB165, 1) | (~v127(constB165, 1)))),
% 54.89/35.08 inference(quant_inst,[status(thm)],[])).
% 54.89/35.08 tff(31393,plain,
% 54.89/35.08 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB165, 1)) | v26(constB165) | v130(constB165, 1)),
% 54.89/35.08 inference(modus_ponens,[status(thm)],[31392, 31391])).
% 54.89/35.08 tff(31394,plain,
% 54.89/35.08 ((~v127(constB165, 1)) | v130(constB165, 1)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31393, 1276, 31285])).
% 54.89/35.08 tff(31395,plain,
% 54.89/35.08 (~v127(constB165, 1)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31394, 31387])).
% 54.89/35.08 tff(31396,plain,
% 54.89/35.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB165, constB166)) | v127(constB165, 1) | (~v129(constB166, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB165, constB166)) | v127(constB165, 1) | (~v129(constB166, 1)))),
% 54.89/35.08 inference(rewrite,[status(thm)],[])).
% 54.89/35.08 tff(31397,plain,
% 54.89/35.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB165, constB166)) | v127(constB165, 1) | (~v129(constB166, 1)))),
% 54.89/35.08 inference(quant_inst,[status(thm)],[])).
% 54.89/35.08 tff(31398,plain,
% 54.89/35.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB165, constB166)) | v127(constB165, 1) | (~v129(constB166, 1))),
% 54.89/35.08 inference(modus_ponens,[status(thm)],[31397, 31396])).
% 54.89/35.08 tff(31399,plain,
% 54.89/35.08 (v127(constB165, 1) | (~v129(constB166, 1))),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31398, 1294, 31300])).
% 54.89/35.08 tff(31400,plain,
% 54.89/35.08 (~v129(constB166, 1)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31399, 31395])).
% 54.89/35.08 tff(31401,plain,
% 54.89/35.08 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB166, 1)) | v129(constB166, 1) | (~v100(constB166)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB166, 1)) | v129(constB166, 1) | (~v100(constB166)))),
% 54.89/35.08 inference(rewrite,[status(thm)],[])).
% 54.89/35.08 tff(31402,plain,
% 54.89/35.08 (((~v90(constB166, 1)) | (~v100(constB166)) | v129(constB166, 1)) <=> ((~v90(constB166, 1)) | v129(constB166, 1) | (~v100(constB166)))),
% 54.89/35.08 inference(rewrite,[status(thm)],[])).
% 54.89/35.08 tff(31403,plain,
% 54.89/35.08 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB166, 1)) | (~v100(constB166)) | v129(constB166, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB166, 1)) | v129(constB166, 1) | (~v100(constB166))))),
% 54.89/35.08 inference(monotonicity,[status(thm)],[31402])).
% 54.89/35.08 tff(31404,plain,
% 54.89/35.08 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB166, 1)) | (~v100(constB166)) | v129(constB166, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB166, 1)) | v129(constB166, 1) | (~v100(constB166)))),
% 54.89/35.08 inference(transitivity,[status(thm)],[31403, 31401])).
% 54.89/35.08 tff(31405,plain,
% 54.89/35.08 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB166, 1)) | (~v100(constB166)) | v129(constB166, 1))),
% 54.89/35.08 inference(quant_inst,[status(thm)],[])).
% 54.89/35.08 tff(31406,plain,
% 54.89/35.08 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB166, 1)) | v129(constB166, 1) | (~v100(constB166))),
% 54.89/35.08 inference(modus_ponens,[status(thm)],[31405, 31404])).
% 54.89/35.08 tff(31407,plain,
% 54.89/35.08 ((~v90(constB166, 1)) | (~v100(constB166))),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31406, 1309, 31400])).
% 54.89/35.08 tff(31408,plain,
% 54.89/35.08 (~v90(constB166, 1)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31407, 31334])).
% 54.89/35.08 tff(31409,plain,
% 54.89/35.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB166, 1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB166, 1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, 1)))),
% 54.89/35.08 inference(rewrite,[status(thm)],[])).
% 54.89/35.08 tff(31410,plain,
% 54.89/35.08 (((~nextState(constB166, constB167)) | v90(constB166, 1) | v100(constB167) | (~v90(constB167, 1))) <=> (v90(constB166, 1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, 1)))),
% 54.89/35.08 inference(rewrite,[status(thm)],[])).
% 54.89/35.08 tff(31411,plain,
% 54.89/35.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB166, constB167)) | v90(constB166, 1) | v100(constB167) | (~v90(constB167, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB166, 1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, 1))))),
% 54.89/35.08 inference(monotonicity,[status(thm)],[31410])).
% 54.89/35.08 tff(31412,plain,
% 54.89/35.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB166, constB167)) | v90(constB166, 1) | v100(constB167) | (~v90(constB167, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB166, 1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, 1)))),
% 54.89/35.08 inference(transitivity,[status(thm)],[31411, 31409])).
% 54.89/35.08 tff(31413,plain,
% 54.89/35.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB166, constB167)) | v90(constB166, 1) | v100(constB167) | (~v90(constB167, 1)))),
% 54.89/35.08 inference(quant_inst,[status(thm)],[])).
% 54.89/35.08 tff(31414,plain,
% 54.89/35.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB166, 1) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, 1))),
% 54.89/35.08 inference(modus_ponens,[status(thm)],[31413, 31412])).
% 54.89/35.08 tff(31415,plain,
% 54.89/35.08 (v90(constB166, 1) | v100(constB167) | (~v90(constB167, 1))),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31414, 926, 31362])).
% 54.89/35.08 tff(31416,plain,
% 54.89/35.08 (v90(constB166, 1) | (~v90(constB167, 1))),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31415, 31374])).
% 54.89/35.08 tff(31417,plain,
% 54.89/35.08 (~v90(constB167, 1)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31416, 31408])).
% 54.89/35.08 tff(31418,assumption,(v122(constB163)), introduced(assumption)).
% 54.89/35.08 tff(31419,plain,
% 54.89/35.08 (v116(constB163)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31073, 2120, 31418])).
% 54.89/35.08 tff(31420,plain,
% 54.89/35.08 (v115(constB163)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31077, 1021, 31419])).
% 54.89/35.08 tff(31421,plain,
% 54.89/35.08 (v114(constB163)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31084, 1035, 31420])).
% 54.89/35.08 tff(31422,plain,
% 54.89/35.08 (v113(constB163)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31091, 1049, 31421])).
% 54.89/35.08 tff(31423,plain,
% 54.89/35.08 (v112(constB163)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31100, 31422])).
% 54.89/35.08 tff(31424,plain,
% 54.89/35.08 (v108(constB163)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31107, 1075, 31423])).
% 54.89/35.08 tff(31425,plain,
% 54.89/35.08 (v110(constB164)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31118, 31424])).
% 54.89/35.08 tff(31426,plain,
% 54.89/35.08 (v100(constB164)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31141, 31425])).
% 54.89/35.08 tff(31427,plain,
% 54.89/35.08 (v130(constB163, 2)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31145, 1967, 31418])).
% 54.89/35.08 tff(31428,plain,
% 54.89/35.08 (v127(constB163, 2)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31150, 31427])).
% 54.89/35.08 tff(31429,plain,
% 54.89/35.08 (v129(constB164, 2)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31155, 31428])).
% 54.89/35.08 tff(31430,plain,
% 54.89/35.08 (v90(constB164, 2) | (~v100(constB164))),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31162, 2324, 31429])).
% 54.89/35.08 tff(31431,plain,
% 54.89/35.08 (v90(constB164, 2)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31430, 31426])).
% 54.89/35.08 tff(31432,plain,
% 54.89/35.08 (v90(constB165, 2)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31190, 31431])).
% 54.89/35.08 tff(31433,plain,
% 54.89/35.08 (~v130(constB163, 1)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31194, 2366, 31418])).
% 54.89/35.08 tff(31434,plain,
% 54.89/35.08 (~v127(constB163, 1)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31202, 31433])).
% 54.89/35.08 tff(31435,plain,
% 54.89/35.08 (~v129(constB164, 1)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31207, 31434])).
% 54.89/35.08 tff(31436,plain,
% 54.89/35.08 ((~v90(constB164, 1)) | (~v100(constB164))),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31214, 1309, 31435])).
% 54.89/35.08 tff(31437,plain,
% 54.89/35.08 (~v90(constB164, 1)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31436, 31426])).
% 54.89/35.08 tff(31438,plain,
% 54.89/35.08 (~v90(constB165, 1)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31224, 31437])).
% 54.89/35.08 tff(31439,plain,
% 54.89/35.08 (~v130(constB163, 0)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31228, 2407, 31418])).
% 54.89/35.08 tff(31440,plain,
% 54.89/35.08 (~v127(constB163, 0)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31236, 31439])).
% 54.89/35.08 tff(31441,plain,
% 54.89/35.08 (~v129(constB164, 0)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31241, 31440])).
% 54.89/35.08 tff(31442,plain,
% 54.89/35.08 ((~v90(constB164, 0)) | (~v100(constB164))),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31248, 1704, 31441])).
% 54.89/35.08 tff(31443,plain,
% 54.89/35.08 (~v90(constB164, 0)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31442, 31426])).
% 54.89/35.08 tff(31444,plain,
% 54.89/35.08 (~v90(constB165, 0)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31258, 31443])).
% 54.89/35.08 tff(31445,plain,
% 54.89/35.08 (v123(constB165)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31262, 2308, 31444, 31438, 31432])).
% 54.89/35.08 tff(31446,assumption,(~v90(constB166, 2)), introduced(assumption)).
% 54.89/35.08 tff(31447,plain,
% 54.89/35.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB165, 2)) | (~nextState(constB165, constB166)) | v100(constB166) | v90(constB166, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB165, 2)) | (~nextState(constB165, constB166)) | v100(constB166) | v90(constB166, 2))),
% 54.89/35.08 inference(rewrite,[status(thm)],[])).
% 54.89/35.08 tff(31448,plain,
% 54.89/35.08 (((~nextState(constB165, constB166)) | (~v90(constB165, 2)) | v100(constB166) | v90(constB166, 2)) <=> ((~v90(constB165, 2)) | (~nextState(constB165, constB166)) | v100(constB166) | v90(constB166, 2))),
% 54.89/35.08 inference(rewrite,[status(thm)],[])).
% 54.89/35.08 tff(31449,plain,
% 54.89/35.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB165, constB166)) | (~v90(constB165, 2)) | v100(constB166) | v90(constB166, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB165, 2)) | (~nextState(constB165, constB166)) | v100(constB166) | v90(constB166, 2)))),
% 54.89/35.08 inference(monotonicity,[status(thm)],[31448])).
% 54.89/35.08 tff(31450,plain,
% 54.89/35.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB165, constB166)) | (~v90(constB165, 2)) | v100(constB166) | v90(constB166, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB165, 2)) | (~nextState(constB165, constB166)) | v100(constB166) | v90(constB166, 2))),
% 54.89/35.08 inference(transitivity,[status(thm)],[31449, 31447])).
% 54.89/35.08 tff(31451,plain,
% 54.89/35.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB165, constB166)) | (~v90(constB165, 2)) | v100(constB166) | v90(constB166, 2))),
% 54.89/35.08 inference(quant_inst,[status(thm)],[])).
% 54.89/35.08 tff(31452,plain,
% 54.89/35.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB165, 2)) | (~nextState(constB165, constB166)) | v100(constB166) | v90(constB166, 2)),
% 54.89/35.08 inference(modus_ponens,[status(thm)],[31451, 31450])).
% 54.89/35.08 tff(31453,plain,
% 54.89/35.08 ((~v90(constB165, 2)) | v100(constB166) | v90(constB166, 2)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31452, 2174, 31300])).
% 54.89/35.08 tff(31454,plain,
% 54.89/35.08 (v100(constB166)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31453, 31432, 31446])).
% 54.89/35.08 tff(31455,plain,
% 54.89/35.08 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB166, 2) | (~v129(constB166, 2)) | (~v100(constB166)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB166, 2) | (~v129(constB166, 2)) | (~v100(constB166)))),
% 54.89/35.08 inference(rewrite,[status(thm)],[])).
% 54.89/35.08 tff(31456,plain,
% 54.89/35.08 ((v90(constB166, 2) | (~v100(constB166)) | (~v129(constB166, 2))) <=> (v90(constB166, 2) | (~v129(constB166, 2)) | (~v100(constB166)))),
% 54.89/35.08 inference(rewrite,[status(thm)],[])).
% 54.89/35.08 tff(31457,plain,
% 54.89/35.08 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB166, 2) | (~v100(constB166)) | (~v129(constB166, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB166, 2) | (~v129(constB166, 2)) | (~v100(constB166))))),
% 54.89/35.08 inference(monotonicity,[status(thm)],[31456])).
% 54.89/35.08 tff(31458,plain,
% 54.89/35.08 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB166, 2) | (~v100(constB166)) | (~v129(constB166, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB166, 2) | (~v129(constB166, 2)) | (~v100(constB166)))),
% 54.89/35.08 inference(transitivity,[status(thm)],[31457, 31455])).
% 54.89/35.08 tff(31459,plain,
% 54.89/35.08 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB166, 2) | (~v100(constB166)) | (~v129(constB166, 2)))),
% 54.89/35.08 inference(quant_inst,[status(thm)],[])).
% 54.89/35.08 tff(31460,plain,
% 54.89/35.08 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB166, 2) | (~v129(constB166, 2)) | (~v100(constB166))),
% 54.89/35.08 inference(modus_ponens,[status(thm)],[31459, 31458])).
% 54.89/35.08 tff(31461,plain,
% 54.89/35.08 ((~v129(constB166, 2)) | (~v100(constB166))),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31460, 2324, 31446])).
% 54.89/35.08 tff(31462,plain,
% 54.89/35.08 (~v129(constB166, 2)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31461, 31454])).
% 54.89/35.08 tff(31463,plain,
% 54.89/35.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB165, constB166)) | (~v127(constB165, 2)) | v129(constB166, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB165, constB166)) | (~v127(constB165, 2)) | v129(constB166, 2))),
% 54.89/35.08 inference(rewrite,[status(thm)],[])).
% 54.89/35.08 tff(31464,plain,
% 54.89/35.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB165, constB166)) | (~v127(constB165, 2)) | v129(constB166, 2))),
% 54.89/35.08 inference(quant_inst,[status(thm)],[])).
% 54.89/35.08 tff(31465,plain,
% 54.89/35.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB165, constB166)) | (~v127(constB165, 2)) | v129(constB166, 2)),
% 54.89/35.08 inference(modus_ponens,[status(thm)],[31464, 31463])).
% 54.89/35.08 tff(31466,plain,
% 54.89/35.08 ((~v127(constB165, 2)) | v129(constB166, 2)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31465, 1999, 31300])).
% 54.89/35.08 tff(31467,plain,
% 54.89/35.08 (~v127(constB165, 2)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31466, 31462])).
% 54.89/35.08 tff(31468,plain,
% 54.89/35.08 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB165) | (~v130(constB165, 2)) | v127(constB165, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB165) | (~v130(constB165, 2)) | v127(constB165, 2))),
% 54.89/35.08 inference(rewrite,[status(thm)],[])).
% 54.89/35.08 tff(31469,plain,
% 54.89/35.08 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB165) | (~v130(constB165, 2)) | v127(constB165, 2))),
% 54.89/35.08 inference(quant_inst,[status(thm)],[])).
% 54.89/35.08 tff(31470,plain,
% 54.89/35.08 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB165) | (~v130(constB165, 2)) | v127(constB165, 2)),
% 54.89/35.08 inference(modus_ponens,[status(thm)],[31469, 31468])).
% 54.89/35.08 tff(31471,plain,
% 54.89/35.08 ((~v130(constB165, 2)) | v127(constB165, 2)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31470, 1981, 31285])).
% 54.89/35.08 tff(31472,plain,
% 54.89/35.08 (~v130(constB165, 2)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31471, 31467])).
% 54.89/35.08 tff(31473,plain,
% 54.89/35.08 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB165)) | v130(constB165, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB165)) | v130(constB165, 2))),
% 54.89/35.08 inference(rewrite,[status(thm)],[])).
% 54.89/35.08 tff(31474,plain,
% 54.89/35.08 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB165)) | v130(constB165, 2))),
% 54.89/35.08 inference(quant_inst,[status(thm)],[])).
% 54.89/35.08 tff(31475,plain,
% 54.89/35.08 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB165)) | v130(constB165, 2)),
% 54.89/35.08 inference(modus_ponens,[status(thm)],[31474, 31473])).
% 54.89/35.08 tff(31476,plain,
% 54.89/35.08 ($false),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31475, 2525, 31472, 31445])).
% 54.89/35.08 tff(31477,plain,((~v122(constB163)) | v90(constB166, 2)), inference(lemma,lemma(discharge,[]))).
% 54.89/35.08 tff(31478,plain,
% 54.89/35.08 (v90(constB166, 2)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31477, 31070])).
% 54.89/35.08 tff(31479,plain,
% 54.89/35.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB166, 2)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB166, 2)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, 2))),
% 54.89/35.08 inference(rewrite,[status(thm)],[])).
% 54.89/35.08 tff(31480,plain,
% 54.89/35.08 (((~nextState(constB166, constB167)) | (~v90(constB166, 2)) | v100(constB167) | v90(constB167, 2)) <=> ((~v90(constB166, 2)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, 2))),
% 54.89/35.08 inference(rewrite,[status(thm)],[])).
% 54.89/35.08 tff(31481,plain,
% 54.89/35.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB166, constB167)) | (~v90(constB166, 2)) | v100(constB167) | v90(constB167, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB166, 2)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, 2)))),
% 54.89/35.08 inference(monotonicity,[status(thm)],[31480])).
% 54.89/35.08 tff(31482,plain,
% 54.89/35.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB166, constB167)) | (~v90(constB166, 2)) | v100(constB167) | v90(constB167, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB166, 2)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, 2))),
% 54.89/35.08 inference(transitivity,[status(thm)],[31481, 31479])).
% 54.89/35.08 tff(31483,plain,
% 54.89/35.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB166, constB167)) | (~v90(constB166, 2)) | v100(constB167) | v90(constB167, 2))),
% 54.89/35.08 inference(quant_inst,[status(thm)],[])).
% 54.89/35.08 tff(31484,plain,
% 54.89/35.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB166, 2)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, 2)),
% 54.89/35.08 inference(modus_ponens,[status(thm)],[31483, 31482])).
% 54.89/35.08 tff(31485,plain,
% 54.89/35.08 ((~v90(constB166, 2)) | v100(constB167) | v90(constB167, 2)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31484, 2174, 31362])).
% 54.89/35.08 tff(31486,plain,
% 54.89/35.08 ((~v90(constB166, 2)) | v90(constB167, 2)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31485, 31374])).
% 54.89/35.08 tff(31487,plain,
% 54.89/35.08 (v90(constB167, 2)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31486, 31478])).
% 54.89/35.08 tff(31488,plain,
% 54.89/35.08 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB167, 0)) | v90(constB167, 1) | (~v90(constB167, 2)) | v124(constB167))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB167, 0)) | v90(constB167, 1) | (~v90(constB167, 2)) | v124(constB167))),
% 54.89/35.08 inference(rewrite,[status(thm)],[])).
% 54.89/35.08 tff(31489,plain,
% 54.89/35.08 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB167, 0)) | v90(constB167, 1) | (~v90(constB167, 2)) | v124(constB167))),
% 54.89/35.08 inference(quant_inst,[status(thm)],[])).
% 54.89/35.08 tff(31490,plain,
% 54.89/35.08 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB167, 0)) | v90(constB167, 1) | (~v90(constB167, 2)) | v124(constB167)),
% 54.89/35.08 inference(modus_ponens,[status(thm)],[31489, 31488])).
% 54.89/35.08 tff(31491,plain,
% 54.89/35.08 ((~v90(constB167, 0)) | v90(constB167, 1) | v124(constB167)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31490, 2663, 31487])).
% 54.89/35.08 tff(31492,plain,
% 54.89/35.08 (v124(constB167)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31491, 31417, 31383])).
% 54.89/35.08 tff(31493,plain,
% 54.89/35.08 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB167) | (~v124(constB167)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB167) | (~v124(constB167)))),
% 54.89/35.08 inference(rewrite,[status(thm)],[])).
% 54.89/35.08 tff(31494,plain,
% 54.89/35.08 (((~v124(constB167)) | v114(constB167)) <=> (v114(constB167) | (~v124(constB167)))),
% 54.89/35.08 inference(rewrite,[status(thm)],[])).
% 54.89/35.08 tff(31495,plain,
% 54.89/35.08 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB167)) | v114(constB167))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB167) | (~v124(constB167))))),
% 54.89/35.08 inference(monotonicity,[status(thm)],[31494])).
% 54.89/35.08 tff(31496,plain,
% 54.89/35.08 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB167)) | v114(constB167))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB167) | (~v124(constB167)))),
% 54.89/35.08 inference(transitivity,[status(thm)],[31495, 31493])).
% 54.89/35.08 tff(31497,plain,
% 54.89/35.08 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB167)) | v114(constB167))),
% 54.89/35.08 inference(quant_inst,[status(thm)],[])).
% 54.89/35.08 tff(31498,plain,
% 54.89/35.08 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB167) | (~v124(constB167))),
% 54.89/35.08 inference(modus_ponens,[status(thm)],[31497, 31496])).
% 54.89/35.08 tff(31499,plain,
% 54.89/35.08 (v114(constB167)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31498, 2674, 31492])).
% 54.89/35.08 tff(31500,plain,
% 54.89/35.08 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB167)) | v113(constB167))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB167)) | v113(constB167))),
% 54.89/35.08 inference(rewrite,[status(thm)],[])).
% 54.89/35.08 tff(31501,plain,
% 54.89/35.08 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB167)) | v113(constB167))),
% 54.89/35.08 inference(quant_inst,[status(thm)],[])).
% 54.89/35.08 tff(31502,plain,
% 54.89/35.08 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (~v114(constB167)) | v113(constB167)),
% 54.89/35.08 inference(modus_ponens,[status(thm)],[31501, 31500])).
% 54.89/35.08 tff(31503,plain,
% 54.89/35.08 (v113(constB167)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31502, 1049, 31499])).
% 54.89/35.08 tff(31504,assumption,(~v108(constB167)), introduced(assumption)).
% 54.89/35.08 tff(31505,plain,
% 54.89/35.08 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB167) | (~v112(constB167)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB167) | (~v112(constB167)))),
% 54.89/35.08 inference(rewrite,[status(thm)],[])).
% 54.89/35.08 tff(31506,plain,
% 54.89/35.08 (((~v112(constB167)) | v108(constB167)) <=> (v108(constB167) | (~v112(constB167)))),
% 54.89/35.08 inference(rewrite,[status(thm)],[])).
% 54.89/35.08 tff(31507,plain,
% 54.89/35.08 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB167)) | v108(constB167))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB167) | (~v112(constB167))))),
% 54.89/35.08 inference(monotonicity,[status(thm)],[31506])).
% 54.89/35.08 tff(31508,plain,
% 54.89/35.08 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB167)) | v108(constB167))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB167) | (~v112(constB167)))),
% 54.89/35.08 inference(transitivity,[status(thm)],[31507, 31505])).
% 54.89/35.08 tff(31509,plain,
% 54.89/35.08 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB167)) | v108(constB167))),
% 54.89/35.08 inference(quant_inst,[status(thm)],[])).
% 54.89/35.08 tff(31510,plain,
% 54.89/35.08 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB167) | (~v112(constB167))),
% 54.89/35.08 inference(modus_ponens,[status(thm)],[31509, 31508])).
% 54.89/35.08 tff(31511,plain,
% 54.89/35.08 (~v112(constB167)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31510, 1075, 31504])).
% 54.89/35.08 tff(31512,plain,
% 54.89/35.08 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB167) | (~v26(constB167)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB167) | (~v26(constB167)))),
% 54.89/35.08 inference(rewrite,[status(thm)],[])).
% 54.89/35.08 tff(31513,plain,
% 54.89/35.08 (((~v26(constB167)) | v108(constB167)) <=> (v108(constB167) | (~v26(constB167)))),
% 54.89/35.08 inference(rewrite,[status(thm)],[])).
% 54.89/35.08 tff(31514,plain,
% 54.89/35.08 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB167)) | v108(constB167))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB167) | (~v26(constB167))))),
% 54.89/35.08 inference(monotonicity,[status(thm)],[31513])).
% 54.89/35.08 tff(31515,plain,
% 54.89/35.08 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB167)) | v108(constB167))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB167) | (~v26(constB167)))),
% 54.89/35.08 inference(transitivity,[status(thm)],[31514, 31512])).
% 54.89/35.08 tff(31516,plain,
% 54.89/35.08 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB167)) | v108(constB167))),
% 54.89/35.08 inference(quant_inst,[status(thm)],[])).
% 54.89/35.08 tff(31517,plain,
% 54.89/35.08 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB167) | (~v26(constB167))),
% 54.89/35.08 inference(modus_ponens,[status(thm)],[31516, 31515])).
% 54.89/35.08 tff(31518,plain,
% 54.89/35.08 (~v26(constB167)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31517, 2050, 31504])).
% 54.89/35.08 tff(31519,assumption,(v113(constB167)), introduced(assumption)).
% 54.89/35.08 tff(31520,plain,
% 54.89/35.08 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB167) | v112(constB167) | (~v113(constB167)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB167) | v112(constB167) | (~v113(constB167)))),
% 54.89/35.08 inference(rewrite,[status(thm)],[])).
% 54.89/35.08 tff(31521,plain,
% 54.89/35.08 ((v26(constB167) | (~v113(constB167)) | v112(constB167)) <=> (v26(constB167) | v112(constB167) | (~v113(constB167)))),
% 54.89/35.08 inference(rewrite,[status(thm)],[])).
% 54.89/35.08 tff(31522,plain,
% 54.89/35.08 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB167) | (~v113(constB167)) | v112(constB167))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB167) | v112(constB167) | (~v113(constB167))))),
% 54.89/35.08 inference(monotonicity,[status(thm)],[31521])).
% 54.89/35.08 tff(31523,plain,
% 54.89/35.08 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB167) | (~v113(constB167)) | v112(constB167))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB167) | v112(constB167) | (~v113(constB167)))),
% 54.89/35.08 inference(transitivity,[status(thm)],[31522, 31520])).
% 54.89/35.08 tff(31524,plain,
% 54.89/35.08 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB167) | (~v113(constB167)) | v112(constB167))),
% 54.89/35.08 inference(quant_inst,[status(thm)],[])).
% 54.89/35.08 tff(31525,plain,
% 54.89/35.08 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB167) | v112(constB167) | (~v113(constB167))),
% 54.89/35.08 inference(modus_ponens,[status(thm)],[31524, 31523])).
% 54.89/35.08 tff(31526,plain,
% 54.89/35.08 (v26(constB167) | v112(constB167)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31525, 1063, 31519])).
% 54.89/35.08 tff(31527,plain,
% 54.89/35.08 ($false),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31526, 31518, 31511])).
% 54.89/35.08 tff(31528,plain,(v108(constB167) | (~v113(constB167))), inference(lemma,lemma(discharge,[]))).
% 54.89/35.08 tff(31529,plain,
% 54.89/35.08 (v108(constB167)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31528, 31503])).
% 54.89/35.08 tff(31530,plain,
% 54.89/35.08 (nextState(constB167, constB168) <=> nextState(constB167, constB168)),
% 54.89/35.08 inference(rewrite,[status(thm)],[])).
% 54.89/35.08 tff(31531,axiom,(nextState(constB167, constB168)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_167_1')).
% 54.89/35.08 tff(31532,plain,
% 54.89/35.08 (nextState(constB167, constB168)),
% 54.89/35.08 inference(modus_ponens,[status(thm)],[31531, 31530])).
% 54.89/35.08 tff(31533,plain,
% 54.89/35.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167)))),
% 54.89/35.08 inference(rewrite,[status(thm)],[])).
% 54.89/35.08 tff(31534,plain,
% 54.89/35.08 (((~nextState(constB167, constB168)) | (~v108(constB167)) | v110(constB168)) <=> ((~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167)))),
% 54.89/35.08 inference(rewrite,[status(thm)],[])).
% 54.89/35.08 tff(31535,plain,
% 54.89/35.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB167, constB168)) | (~v108(constB167)) | v110(constB168))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167))))),
% 54.89/35.08 inference(monotonicity,[status(thm)],[31534])).
% 54.89/35.08 tff(31536,plain,
% 54.89/35.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB167, constB168)) | (~v108(constB167)) | v110(constB168))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167)))),
% 54.89/35.08 inference(transitivity,[status(thm)],[31535, 31533])).
% 54.89/35.08 tff(31537,plain,
% 54.89/35.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB167, constB168)) | (~v108(constB167)) | v110(constB168))),
% 54.89/35.08 inference(quant_inst,[status(thm)],[])).
% 54.89/35.08 tff(31538,plain,
% 54.89/35.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB167, constB168)) | v110(constB168) | (~v108(constB167))),
% 54.89/35.08 inference(modus_ponens,[status(thm)],[31537, 31536])).
% 54.89/35.08 tff(31539,plain,
% 54.89/35.08 (v110(constB168) | (~v108(constB167))),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31538, 1095, 31532])).
% 54.89/35.08 tff(31540,plain,
% 54.89/35.08 (v110(constB168)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31539, 31529])).
% 54.89/35.08 tff(31541,plain,
% 54.89/35.08 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB167) | (~nextState(constB167, constB168)) | (~v104(constB168)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB167) | (~nextState(constB167, constB168)) | (~v104(constB168)))),
% 54.89/35.08 inference(rewrite,[status(thm)],[])).
% 54.89/35.08 tff(31542,plain,
% 54.89/35.08 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB167) | (~nextState(constB167, constB168)) | (~v104(constB168)))),
% 54.89/35.08 inference(quant_inst,[status(thm)],[])).
% 54.89/35.08 tff(31543,plain,
% 54.89/35.08 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB167) | (~nextState(constB167, constB168)) | (~v104(constB168))),
% 54.89/35.08 inference(modus_ponens,[status(thm)],[31542, 31541])).
% 54.89/35.08 tff(31544,plain,
% 54.89/35.08 (~v104(constB168)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31543, 1113, 31532, 31359])).
% 54.89/35.08 tff(31545,plain,
% 54.89/35.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB167, constB168)) | v102(constB168) | v104(constB168))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB167, constB168)) | v102(constB168) | v104(constB168))),
% 54.89/35.08 inference(rewrite,[status(thm)],[])).
% 54.89/35.08 tff(31546,plain,
% 54.89/35.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB167, constB168)) | v102(constB168) | v104(constB168))),
% 54.89/35.08 inference(quant_inst,[status(thm)],[])).
% 54.89/35.08 tff(31547,plain,
% 54.89/35.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB167, constB168)) | v102(constB168) | v104(constB168)),
% 54.89/35.08 inference(modus_ponens,[status(thm)],[31546, 31545])).
% 54.89/35.08 tff(31548,plain,
% 54.89/35.08 (v102(constB168) | v104(constB168)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31547, 1127, 31532])).
% 54.89/35.08 tff(31549,plain,
% 54.89/35.08 (v102(constB168)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31548, 31544])).
% 54.89/35.08 tff(31550,plain,
% 54.89/35.08 (v1(constB168) <=> v1(constB168)),
% 54.89/35.08 inference(rewrite,[status(thm)],[])).
% 54.89/35.08 tff(31551,axiom,(v1(constB168)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_168_1')).
% 54.89/35.08 tff(31552,plain,
% 54.89/35.08 (v1(constB168)),
% 54.89/35.08 inference(modus_ponens,[status(thm)],[31551, 31550])).
% 54.89/35.08 tff(31553,plain,
% 54.89/35.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB167, constB168)) | v101(constB168) | (~v102(constB168)) | (~v1(constB168)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB167, constB168)) | v101(constB168) | (~v102(constB168)) | (~v1(constB168)))),
% 54.89/35.08 inference(rewrite,[status(thm)],[])).
% 54.89/35.08 tff(31554,plain,
% 54.89/35.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB167, constB168)) | v101(constB168) | (~v102(constB168)) | (~v1(constB168)))),
% 54.89/35.08 inference(quant_inst,[status(thm)],[])).
% 54.89/35.08 tff(31555,plain,
% 54.89/35.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB167, constB168)) | v101(constB168) | (~v102(constB168)) | (~v1(constB168))),
% 54.89/35.08 inference(modus_ponens,[status(thm)],[31554, 31553])).
% 54.89/35.08 tff(31556,plain,
% 54.89/35.08 (v101(constB168) | (~v102(constB168))),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31555, 1145, 31532, 31552])).
% 54.89/35.08 tff(31557,plain,
% 54.89/35.08 (v101(constB168)),
% 54.89/35.08 inference(unit_resolution,[status(thm)],[31556, 31549])).
% 54.89/35.08 tff(31558,plain,
% 54.89/35.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168)))),
% 54.89/35.08 inference(rewrite,[status(thm)],[])).
% 54.89/35.08 tff(31559,plain,
% 54.89/35.08 (((~nextState(constB167, constB168)) | (~v101(constB168)) | (~v110(constB168)) | v100(constB168)) <=> ((~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168)))),
% 54.89/35.08 inference(rewrite,[status(thm)],[])).
% 54.89/35.08 tff(31560,plain,
% 54.89/35.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB167, constB168)) | (~v101(constB168)) | (~v110(constB168)) | v100(constB168))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168))))),
% 54.89/35.08 inference(monotonicity,[status(thm)],[31559])).
% 54.89/35.08 tff(31561,plain,
% 54.89/35.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB167, constB168)) | (~v101(constB168)) | (~v110(constB168)) | v100(constB168))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168)))),
% 54.89/35.08 inference(transitivity,[status(thm)],[31560, 31558])).
% 54.89/35.08 tff(31562,plain,
% 54.89/35.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB167, constB168)) | (~v101(constB168)) | (~v110(constB168)) | v100(constB168))),
% 54.89/35.09 inference(quant_inst,[status(thm)],[])).
% 54.89/35.09 tff(31563,plain,
% 54.89/35.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB167, constB168)) | v100(constB168) | (~v101(constB168)) | (~v110(constB168))),
% 54.89/35.09 inference(modus_ponens,[status(thm)],[31562, 31561])).
% 54.89/35.09 tff(31564,plain,
% 54.89/35.09 (v100(constB168) | (~v101(constB168)) | (~v110(constB168))),
% 54.89/35.09 inference(unit_resolution,[status(thm)],[31563, 1160, 31532])).
% 54.89/35.09 tff(31565,plain,
% 54.89/35.09 (v100(constB168) | (~v110(constB168))),
% 54.89/35.09 inference(unit_resolution,[status(thm)],[31564, 31557])).
% 54.89/35.09 tff(31566,plain,
% 54.89/35.09 (v100(constB168)),
% 54.89/35.09 inference(unit_resolution,[status(thm)],[31565, 31540])).
% 54.89/35.09 tff(31567,plain,
% 54.89/35.09 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB167)) | v130(constB167, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB167)) | v130(constB167, 2))),
% 54.89/35.09 inference(rewrite,[status(thm)],[])).
% 54.89/35.09 tff(31568,plain,
% 54.89/35.09 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB167)) | v130(constB167, 2))),
% 54.89/35.09 inference(quant_inst,[status(thm)],[])).
% 54.89/35.09 tff(31569,plain,
% 54.89/35.09 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB167)) | v130(constB167, 2)),
% 54.89/35.09 inference(modus_ponens,[status(thm)],[31568, 31567])).
% 54.89/35.09 tff(31570,plain,
% 54.89/35.09 (v130(constB167, 2)),
% 54.89/35.09 inference(unit_resolution,[status(thm)],[31569, 2741, 31492])).
% 54.89/35.09 tff(31571,assumption,(v26(constB167)), introduced(assumption)).
% 54.89/35.09 tff(31572,plain,
% 54.89/35.09 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB167))),
% 54.89/35.09 inference(quant_inst,[status(thm)],[])).
% 54.89/35.09 tff(31573,plain,
% 54.89/35.09 ($false),
% 54.89/35.09 inference(unit_resolution,[status(thm)],[31572, 828, 31571])).
% 54.89/35.09 tff(31574,plain,(~v26(constB167)), inference(lemma,lemma(discharge,[]))).
% 54.89/35.09 tff(31575,plain,
% 54.89/35.09 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB167) | (~v130(constB167, 2)) | v127(constB167, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB167) | (~v130(constB167, 2)) | v127(constB167, 2))),
% 54.89/35.09 inference(rewrite,[status(thm)],[])).
% 54.89/35.09 tff(31576,plain,
% 54.89/35.09 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB167) | (~v130(constB167, 2)) | v127(constB167, 2))),
% 54.89/35.09 inference(quant_inst,[status(thm)],[])).
% 54.89/35.09 tff(31577,plain,
% 54.89/35.09 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB167) | (~v130(constB167, 2)) | v127(constB167, 2)),
% 54.89/35.09 inference(modus_ponens,[status(thm)],[31576, 31575])).
% 54.89/35.09 tff(31578,plain,
% 54.89/35.09 ((~v130(constB167, 2)) | v127(constB167, 2)),
% 54.89/35.09 inference(unit_resolution,[status(thm)],[31577, 1981, 31574])).
% 54.89/35.09 tff(31579,plain,
% 54.89/35.09 (v127(constB167, 2)),
% 54.89/35.09 inference(unit_resolution,[status(thm)],[31578, 31570])).
% 54.89/35.09 tff(31580,plain,
% 54.89/35.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB167, constB168)) | (~v127(constB167, 2)) | v129(constB168, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB167, constB168)) | (~v127(constB167, 2)) | v129(constB168, 2))),
% 54.89/35.09 inference(rewrite,[status(thm)],[])).
% 54.89/35.09 tff(31581,plain,
% 54.89/35.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB167, constB168)) | (~v127(constB167, 2)) | v129(constB168, 2))),
% 54.89/35.09 inference(quant_inst,[status(thm)],[])).
% 54.89/35.09 tff(31582,plain,
% 54.89/35.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB167, constB168)) | (~v127(constB167, 2)) | v129(constB168, 2)),
% 54.89/35.09 inference(modus_ponens,[status(thm)],[31581, 31580])).
% 54.89/35.09 tff(31583,plain,
% 54.89/35.09 ((~v127(constB167, 2)) | v129(constB168, 2)),
% 54.89/35.09 inference(unit_resolution,[status(thm)],[31582, 1999, 31532])).
% 54.89/35.09 tff(31584,plain,
% 54.89/35.09 (v129(constB168, 2)),
% 54.89/35.09 inference(unit_resolution,[status(thm)],[31583, 31579])).
% 54.89/35.09 tff(31585,plain,
% 54.89/35.09 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB168, 2) | (~v129(constB168, 2)) | (~v100(constB168)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB168, 2) | (~v129(constB168, 2)) | (~v100(constB168)))),
% 54.89/35.09 inference(rewrite,[status(thm)],[])).
% 54.89/35.09 tff(31586,plain,
% 54.89/35.09 ((v90(constB168, 2) | (~v100(constB168)) | (~v129(constB168, 2))) <=> (v90(constB168, 2) | (~v129(constB168, 2)) | (~v100(constB168)))),
% 54.89/35.09 inference(rewrite,[status(thm)],[])).
% 54.89/35.09 tff(31587,plain,
% 54.89/35.09 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB168, 2) | (~v100(constB168)) | (~v129(constB168, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB168, 2) | (~v129(constB168, 2)) | (~v100(constB168))))),
% 54.89/35.09 inference(monotonicity,[status(thm)],[31586])).
% 54.89/35.09 tff(31588,plain,
% 54.89/35.09 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB168, 2) | (~v100(constB168)) | (~v129(constB168, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB168, 2) | (~v129(constB168, 2)) | (~v100(constB168)))),
% 54.89/35.09 inference(transitivity,[status(thm)],[31587, 31585])).
% 54.89/35.09 tff(31589,plain,
% 54.89/35.09 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB168, 2) | (~v100(constB168)) | (~v129(constB168, 2)))),
% 54.89/35.09 inference(quant_inst,[status(thm)],[])).
% 54.89/35.09 tff(31590,plain,
% 54.89/35.09 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB168, 2) | (~v129(constB168, 2)) | (~v100(constB168))),
% 54.89/35.09 inference(modus_ponens,[status(thm)],[31589, 31588])).
% 54.89/35.09 tff(31591,plain,
% 54.89/35.09 (v90(constB168, 2) | (~v100(constB168))),
% 54.89/35.09 inference(unit_resolution,[status(thm)],[31590, 2324, 31584])).
% 54.89/35.09 tff(31592,plain,
% 54.89/35.09 (v90(constB168, 2)),
% 54.89/35.09 inference(unit_resolution,[status(thm)],[31591, 31566])).
% 54.89/35.09 tff(31593,plain,
% 54.89/35.09 ((~v1(constB169)) <=> (~v1(constB169))),
% 54.89/35.09 inference(rewrite,[status(thm)],[])).
% 54.89/35.09 tff(31594,axiom,(~v1(constB169)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_169_1_1')).
% 54.89/35.09 tff(31595,plain,
% 54.89/35.09 (~v1(constB169)),
% 54.89/35.09 inference(modus_ponens,[status(thm)],[31594, 31593])).
% 54.89/35.09 tff(31596,plain,
% 54.89/35.09 (nextState(constB168, constB169) <=> nextState(constB168, constB169)),
% 54.89/35.09 inference(rewrite,[status(thm)],[])).
% 54.89/35.09 tff(31597,axiom,(nextState(constB168, constB169)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_168_1')).
% 54.89/35.09 tff(31598,plain,
% 54.89/35.09 (nextState(constB168, constB169)),
% 54.89/35.09 inference(modus_ponens,[status(thm)],[31597, 31596])).
% 54.89/35.09 tff(31599,plain,
% 54.89/35.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169)))),
% 54.89/35.09 inference(rewrite,[status(thm)],[])).
% 54.89/35.09 tff(31600,plain,
% 54.89/35.09 (((~nextState(constB168, constB169)) | (~v101(constB169)) | v1(constB169)) <=> (v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169)))),
% 54.89/35.09 inference(rewrite,[status(thm)],[])).
% 54.89/35.09 tff(31601,plain,
% 54.89/35.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB168, constB169)) | (~v101(constB169)) | v1(constB169))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169))))),
% 54.89/35.09 inference(monotonicity,[status(thm)],[31600])).
% 54.89/35.09 tff(31602,plain,
% 54.89/35.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB168, constB169)) | (~v101(constB169)) | v1(constB169))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169)))),
% 54.89/35.09 inference(transitivity,[status(thm)],[31601, 31599])).
% 54.89/35.09 tff(31603,plain,
% 54.89/35.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB168, constB169)) | (~v101(constB169)) | v1(constB169))),
% 54.89/35.09 inference(quant_inst,[status(thm)],[])).
% 54.89/35.09 tff(31604,plain,
% 54.89/35.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB169) | (~nextState(constB168, constB169)) | (~v101(constB169))),
% 54.89/35.09 inference(modus_ponens,[status(thm)],[31603, 31602])).
% 54.89/35.09 tff(31605,plain,
% 54.89/35.09 (~v101(constB169)),
% 54.89/35.09 inference(unit_resolution,[status(thm)],[31604, 873, 31598, 31595])).
% 54.89/35.09 tff(31606,plain,
% 54.89/35.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB168, constB169)) | v101(constB169) | (~v100(constB169)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB168, constB169)) | v101(constB169) | (~v100(constB169)))),
% 54.89/35.09 inference(rewrite,[status(thm)],[])).
% 54.89/35.09 tff(31607,plain,
% 54.89/35.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB168, constB169)) | v101(constB169) | (~v100(constB169)))),
% 54.89/35.09 inference(quant_inst,[status(thm)],[])).
% 54.89/35.09 tff(31608,plain,
% 54.89/35.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB168, constB169)) | v101(constB169) | (~v100(constB169))),
% 54.89/35.09 inference(modus_ponens,[status(thm)],[31607, 31606])).
% 54.89/35.09 tff(31609,plain,
% 54.89/35.09 (v101(constB169) | (~v100(constB169))),
% 54.89/35.09 inference(unit_resolution,[status(thm)],[31608, 890, 31598])).
% 54.89/35.09 tff(31610,plain,
% 54.89/35.09 (~v100(constB169)),
% 54.89/35.09 inference(unit_resolution,[status(thm)],[31609, 31605])).
% 54.89/35.09 tff(31611,plain,
% 54.89/35.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB168, 2)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB168, 2)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, 2))),
% 54.89/35.09 inference(rewrite,[status(thm)],[])).
% 54.89/35.09 tff(31612,plain,
% 54.89/35.09 (((~nextState(constB168, constB169)) | (~v90(constB168, 2)) | v100(constB169) | v90(constB169, 2)) <=> ((~v90(constB168, 2)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, 2))),
% 54.89/35.09 inference(rewrite,[status(thm)],[])).
% 54.89/35.09 tff(31613,plain,
% 54.89/35.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB168, constB169)) | (~v90(constB168, 2)) | v100(constB169) | v90(constB169, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB168, 2)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, 2)))),
% 54.89/35.09 inference(monotonicity,[status(thm)],[31612])).
% 54.89/35.09 tff(31614,plain,
% 54.89/35.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB168, constB169)) | (~v90(constB168, 2)) | v100(constB169) | v90(constB169, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB168, 2)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, 2))),
% 54.89/35.09 inference(transitivity,[status(thm)],[31613, 31611])).
% 54.89/35.09 tff(31615,plain,
% 54.89/35.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB168, constB169)) | (~v90(constB168, 2)) | v100(constB169) | v90(constB169, 2))),
% 54.89/35.09 inference(quant_inst,[status(thm)],[])).
% 54.89/35.09 tff(31616,plain,
% 54.89/35.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB168, 2)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, 2)),
% 54.89/35.09 inference(modus_ponens,[status(thm)],[31615, 31614])).
% 54.89/35.09 tff(31617,plain,
% 54.89/35.09 ((~v90(constB168, 2)) | v100(constB169) | v90(constB169, 2)),
% 54.89/35.09 inference(unit_resolution,[status(thm)],[31616, 2174, 31598])).
% 54.89/35.09 tff(31618,plain,
% 54.89/35.09 ((~v90(constB168, 2)) | v90(constB169, 2)),
% 54.89/35.09 inference(unit_resolution,[status(thm)],[31617, 31610])).
% 54.89/35.09 tff(31619,plain,
% 54.89/35.09 (v90(constB169, 2)),
% 54.89/35.09 inference(unit_resolution,[status(thm)],[31618, 31592])).
% 54.89/35.09 tff(31620,plain,
% 54.89/35.09 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB167)) | v130(constB167, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB167)) | v130(constB167, 1))),
% 54.89/35.09 inference(rewrite,[status(thm)],[])).
% 54.89/35.09 tff(31621,plain,
% 54.89/35.09 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB167)) | v130(constB167, 1))),
% 54.89/35.09 inference(quant_inst,[status(thm)],[])).
% 54.89/35.09 tff(31622,plain,
% 54.89/35.09 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB167)) | v130(constB167, 1)),
% 54.89/35.09 inference(modus_ponens,[status(thm)],[31621, 31620])).
% 54.89/35.09 tff(31623,plain,
% 54.89/35.09 (v130(constB167, 1)),
% 54.89/35.09 inference(unit_resolution,[status(thm)],[31622, 2808, 31492])).
% 54.89/35.09 tff(31624,plain,
% 54.89/35.09 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB167) | (~v130(constB167, 1)) | v127(constB167, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB167) | (~v130(constB167, 1)) | v127(constB167, 1))),
% 54.89/35.09 inference(rewrite,[status(thm)],[])).
% 54.89/35.09 tff(31625,plain,
% 54.89/35.09 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB167) | (~v130(constB167, 1)) | v127(constB167, 1))),
% 54.89/35.09 inference(quant_inst,[status(thm)],[])).
% 54.89/35.09 tff(31626,plain,
% 54.89/35.09 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB167) | (~v130(constB167, 1)) | v127(constB167, 1)),
% 54.89/35.09 inference(modus_ponens,[status(thm)],[31625, 31624])).
% 54.89/35.09 tff(31627,plain,
% 54.89/35.09 ((~v130(constB167, 1)) | v127(constB167, 1)),
% 54.89/35.09 inference(unit_resolution,[status(thm)],[31626, 1593, 31574])).
% 54.89/35.09 tff(31628,plain,
% 54.89/35.09 (v127(constB167, 1)),
% 54.89/35.09 inference(unit_resolution,[status(thm)],[31627, 31623])).
% 54.89/35.09 tff(31629,plain,
% 54.89/35.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB167, constB168)) | (~v127(constB167, 1)) | v129(constB168, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB167, constB168)) | (~v127(constB167, 1)) | v129(constB168, 1))),
% 54.89/35.09 inference(rewrite,[status(thm)],[])).
% 54.89/35.09 tff(31630,plain,
% 54.89/35.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB167, constB168)) | (~v127(constB167, 1)) | v129(constB168, 1))),
% 54.89/35.09 inference(quant_inst,[status(thm)],[])).
% 54.89/35.09 tff(31631,plain,
% 54.89/35.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB167, constB168)) | (~v127(constB167, 1)) | v129(constB168, 1)),
% 54.89/35.09 inference(modus_ponens,[status(thm)],[31630, 31629])).
% 54.89/35.09 tff(31632,plain,
% 54.89/35.09 ((~v127(constB167, 1)) | v129(constB168, 1)),
% 54.89/35.09 inference(unit_resolution,[status(thm)],[31631, 1608, 31532])).
% 54.89/35.09 tff(31633,plain,
% 54.89/35.09 (v129(constB168, 1)),
% 54.89/35.09 inference(unit_resolution,[status(thm)],[31632, 31628])).
% 54.89/35.09 tff(31634,plain,
% 54.89/35.09 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB168, 1) | (~v129(constB168, 1)) | (~v100(constB168)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB168, 1) | (~v129(constB168, 1)) | (~v100(constB168)))),
% 54.89/35.09 inference(rewrite,[status(thm)],[])).
% 54.89/35.09 tff(31635,plain,
% 54.89/35.09 ((v90(constB168, 1) | (~v100(constB168)) | (~v129(constB168, 1))) <=> (v90(constB168, 1) | (~v129(constB168, 1)) | (~v100(constB168)))),
% 54.89/35.09 inference(rewrite,[status(thm)],[])).
% 54.89/35.09 tff(31636,plain,
% 54.89/35.09 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB168, 1) | (~v100(constB168)) | (~v129(constB168, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB168, 1) | (~v129(constB168, 1)) | (~v100(constB168))))),
% 54.89/35.09 inference(monotonicity,[status(thm)],[31635])).
% 54.89/35.09 tff(31637,plain,
% 54.89/35.09 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB168, 1) | (~v100(constB168)) | (~v129(constB168, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB168, 1) | (~v129(constB168, 1)) | (~v100(constB168)))),
% 54.89/35.09 inference(transitivity,[status(thm)],[31636, 31634])).
% 54.89/35.09 tff(31638,plain,
% 54.89/35.09 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB168, 1) | (~v100(constB168)) | (~v129(constB168, 1)))),
% 54.89/35.09 inference(quant_inst,[status(thm)],[])).
% 54.89/35.09 tff(31639,plain,
% 54.89/35.09 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB168, 1) | (~v129(constB168, 1)) | (~v100(constB168))),
% 54.89/35.09 inference(modus_ponens,[status(thm)],[31638, 31637])).
% 54.89/35.09 tff(31640,plain,
% 54.89/35.09 (v90(constB168, 1) | (~v100(constB168))),
% 54.89/35.09 inference(unit_resolution,[status(thm)],[31639, 1623, 31633])).
% 54.89/35.09 tff(31641,plain,
% 54.89/35.09 (v90(constB168, 1)),
% 54.89/35.09 inference(unit_resolution,[status(thm)],[31640, 31566])).
% 54.89/35.09 tff(31642,plain,
% 54.89/35.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB168, 1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB168, 1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, 1))),
% 54.89/35.09 inference(rewrite,[status(thm)],[])).
% 54.89/35.09 tff(31643,plain,
% 54.89/35.09 (((~nextState(constB168, constB169)) | (~v90(constB168, 1)) | v100(constB169) | v90(constB169, 1)) <=> ((~v90(constB168, 1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, 1))),
% 54.89/35.09 inference(rewrite,[status(thm)],[])).
% 54.89/35.09 tff(31644,plain,
% 54.89/35.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB168, constB169)) | (~v90(constB168, 1)) | v100(constB169) | v90(constB169, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB168, 1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, 1)))),
% 54.89/35.09 inference(monotonicity,[status(thm)],[31643])).
% 54.89/35.09 tff(31645,plain,
% 54.89/35.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB168, constB169)) | (~v90(constB168, 1)) | v100(constB169) | v90(constB169, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB168, 1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, 1))),
% 54.89/35.09 inference(transitivity,[status(thm)],[31644, 31642])).
% 54.89/35.09 tff(31646,plain,
% 54.89/35.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB168, constB169)) | (~v90(constB168, 1)) | v100(constB169) | v90(constB169, 1))),
% 54.89/35.09 inference(quant_inst,[status(thm)],[])).
% 54.89/35.09 tff(31647,plain,
% 54.89/35.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB168, 1)) | (~nextState(constB168, constB169)) | v100(constB169) | v90(constB169, 1)),
% 54.89/35.09 inference(modus_ponens,[status(thm)],[31646, 31645])).
% 54.89/35.09 tff(31648,plain,
% 54.89/35.09 ((~v90(constB168, 1)) | v100(constB169) | v90(constB169, 1)),
% 54.89/35.09 inference(unit_resolution,[status(thm)],[31647, 1641, 31598])).
% 54.89/35.09 tff(31649,plain,
% 54.89/35.09 ((~v90(constB168, 1)) | v90(constB169, 1)),
% 54.89/35.09 inference(unit_resolution,[status(thm)],[31648, 31610])).
% 54.89/35.09 tff(31650,plain,
% 54.89/35.09 (v90(constB169, 1)),
% 54.89/35.09 inference(unit_resolution,[status(thm)],[31649, 31641])).
% 54.89/35.09 tff(31651,plain,
% 54.89/35.09 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB167)) | (~v130(constB167, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB167)) | (~v130(constB167, 0)))),
% 54.89/35.09 inference(rewrite,[status(thm)],[])).
% 54.89/35.09 tff(31652,plain,
% 54.89/35.09 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB167)) | (~v130(constB167, 0)))),
% 54.89/35.09 inference(quant_inst,[status(thm)],[])).
% 54.89/35.09 tff(31653,plain,
% 54.89/35.09 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB167)) | (~v130(constB167, 0))),
% 54.89/35.09 inference(modus_ponens,[status(thm)],[31652, 31651])).
% 54.89/35.09 tff(31654,plain,
% 54.89/35.09 (~v130(constB167, 0)),
% 54.89/35.09 inference(unit_resolution,[status(thm)],[31653, 3274, 31492])).
% 54.89/35.09 tff(31655,plain,
% 54.89/35.09 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB167, 0)) | v26(constB167) | v130(constB167, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB167, 0)) | v26(constB167) | v130(constB167, 0))),
% 54.89/35.09 inference(rewrite,[status(thm)],[])).
% 54.89/35.09 tff(31656,plain,
% 54.89/35.09 ((v26(constB167) | v130(constB167, 0) | (~v127(constB167, 0))) <=> ((~v127(constB167, 0)) | v26(constB167) | v130(constB167, 0))),
% 54.89/35.09 inference(rewrite,[status(thm)],[])).
% 54.89/35.09 tff(31657,plain,
% 54.89/35.09 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB167) | v130(constB167, 0) | (~v127(constB167, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB167, 0)) | v26(constB167) | v130(constB167, 0)))),
% 54.89/35.09 inference(monotonicity,[status(thm)],[31656])).
% 54.89/35.09 tff(31658,plain,
% 54.89/35.09 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB167) | v130(constB167, 0) | (~v127(constB167, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB167, 0)) | v26(constB167) | v130(constB167, 0))),
% 54.89/35.09 inference(transitivity,[status(thm)],[31657, 31655])).
% 54.89/35.09 tff(31659,plain,
% 54.89/35.09 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB167) | v130(constB167, 0) | (~v127(constB167, 0)))),
% 54.89/35.09 inference(quant_inst,[status(thm)],[])).
% 54.89/35.09 tff(31660,plain,
% 54.89/35.09 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB167, 0)) | v26(constB167) | v130(constB167, 0)),
% 54.89/35.09 inference(modus_ponens,[status(thm)],[31659, 31658])).
% 54.89/35.09 tff(31661,plain,
% 54.89/35.09 ((~v127(constB167, 0)) | v130(constB167, 0)),
% 54.89/35.09 inference(unit_resolution,[status(thm)],[31660, 1671, 31574])).
% 54.89/35.09 tff(31662,plain,
% 54.89/35.09 (~v127(constB167, 0)),
% 54.89/35.09 inference(unit_resolution,[status(thm)],[31661, 31654])).
% 54.89/35.09 tff(31663,plain,
% 54.89/35.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB167, constB168)) | v127(constB167, 0) | (~v129(constB168, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB167, constB168)) | v127(constB167, 0) | (~v129(constB168, 0)))),
% 54.89/35.09 inference(rewrite,[status(thm)],[])).
% 54.89/35.09 tff(31664,plain,
% 54.89/35.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB167, constB168)) | v127(constB167, 0) | (~v129(constB168, 0)))),
% 54.89/35.09 inference(quant_inst,[status(thm)],[])).
% 54.89/35.09 tff(31665,plain,
% 54.89/35.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB167, constB168)) | v127(constB167, 0) | (~v129(constB168, 0))),
% 54.89/35.09 inference(modus_ponens,[status(thm)],[31664, 31663])).
% 54.89/35.09 tff(31666,plain,
% 54.89/35.09 (v127(constB167, 0) | (~v129(constB168, 0))),
% 54.89/35.09 inference(unit_resolution,[status(thm)],[31665, 1689, 31532])).
% 54.89/35.09 tff(31667,plain,
% 54.89/35.09 (~v129(constB168, 0)),
% 54.89/35.09 inference(unit_resolution,[status(thm)],[31666, 31662])).
% 54.89/35.09 tff(31668,plain,
% 54.89/35.09 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB168, 0)) | v129(constB168, 0) | (~v100(constB168)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB168, 0)) | v129(constB168, 0) | (~v100(constB168)))),
% 54.89/35.09 inference(rewrite,[status(thm)],[])).
% 54.89/35.09 tff(31669,plain,
% 54.89/35.09 (((~v90(constB168, 0)) | (~v100(constB168)) | v129(constB168, 0)) <=> ((~v90(constB168, 0)) | v129(constB168, 0) | (~v100(constB168)))),
% 54.89/35.09 inference(rewrite,[status(thm)],[])).
% 54.89/35.09 tff(31670,plain,
% 54.89/35.09 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB168, 0)) | (~v100(constB168)) | v129(constB168, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB168, 0)) | v129(constB168, 0) | (~v100(constB168))))),
% 54.89/35.09 inference(monotonicity,[status(thm)],[31669])).
% 54.89/35.09 tff(31671,plain,
% 54.89/35.09 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB168, 0)) | (~v100(constB168)) | v129(constB168, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB168, 0)) | v129(constB168, 0) | (~v100(constB168)))),
% 54.89/35.09 inference(transitivity,[status(thm)],[31670, 31668])).
% 54.89/35.09 tff(31672,plain,
% 54.89/35.09 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB168, 0)) | (~v100(constB168)) | v129(constB168, 0))),
% 54.89/35.09 inference(quant_inst,[status(thm)],[])).
% 54.89/35.09 tff(31673,plain,
% 54.89/35.09 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB168, 0)) | v129(constB168, 0) | (~v100(constB168))),
% 54.89/35.09 inference(modus_ponens,[status(thm)],[31672, 31671])).
% 54.89/35.09 tff(31674,plain,
% 54.89/35.09 ((~v90(constB168, 0)) | (~v100(constB168))),
% 54.89/35.09 inference(unit_resolution,[status(thm)],[31673, 1704, 31667])).
% 54.89/35.09 tff(31675,plain,
% 54.89/35.09 (~v90(constB168, 0)),
% 54.89/35.09 inference(unit_resolution,[status(thm)],[31674, 31566])).
% 54.89/35.09 tff(31676,plain,
% 54.89/35.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB168, 0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB168, 0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, 0)))),
% 54.89/35.09 inference(rewrite,[status(thm)],[])).
% 54.89/35.09 tff(31677,plain,
% 54.89/35.09 (((~nextState(constB168, constB169)) | v90(constB168, 0) | v100(constB169) | (~v90(constB169, 0))) <=> (v90(constB168, 0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, 0)))),
% 54.89/35.09 inference(rewrite,[status(thm)],[])).
% 54.89/35.09 tff(31678,plain,
% 54.89/35.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB168, constB169)) | v90(constB168, 0) | v100(constB169) | (~v90(constB169, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB168, 0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, 0))))),
% 54.89/35.09 inference(monotonicity,[status(thm)],[31677])).
% 54.89/35.09 tff(31679,plain,
% 54.89/35.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB168, constB169)) | v90(constB168, 0) | v100(constB169) | (~v90(constB169, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB168, 0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, 0)))),
% 54.89/35.09 inference(transitivity,[status(thm)],[31678, 31676])).
% 54.89/35.09 tff(31680,plain,
% 54.89/35.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB168, constB169)) | v90(constB168, 0) | v100(constB169) | (~v90(constB169, 0)))),
% 54.89/35.09 inference(quant_inst,[status(thm)],[])).
% 54.89/35.09 tff(31681,plain,
% 54.89/35.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB168, 0) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, 0))),
% 54.89/35.09 inference(modus_ponens,[status(thm)],[31680, 31679])).
% 54.89/35.09 tff(31682,plain,
% 54.89/35.09 (v90(constB168, 0) | v100(constB169) | (~v90(constB169, 0))),
% 54.89/35.09 inference(unit_resolution,[status(thm)],[31681, 947, 31598])).
% 54.89/35.09 tff(31683,plain,
% 54.89/35.09 (v90(constB168, 0) | (~v90(constB169, 0))),
% 54.89/35.09 inference(unit_resolution,[status(thm)],[31682, 31610])).
% 54.89/35.09 tff(31684,plain,
% 54.89/35.09 (~v90(constB169, 0)),
% 54.89/35.09 inference(unit_resolution,[status(thm)],[31683, 31675])).
% 54.89/35.09 tff(31685,plain,
% 54.89/35.09 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB169, 0) | (~v90(constB169, 1)) | (~v90(constB169, 2)) | v125(constB169))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB169, 0) | (~v90(constB169, 1)) | (~v90(constB169, 2)) | v125(constB169))),
% 54.89/35.09 inference(rewrite,[status(thm)],[])).
% 54.89/35.09 tff(31686,plain,
% 54.89/35.09 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB169, 0) | (~v90(constB169, 1)) | (~v90(constB169, 2)) | v125(constB169))),
% 54.89/35.09 inference(quant_inst,[status(thm)],[])).
% 54.89/35.09 tff(31687,plain,
% 54.89/35.09 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB169, 0) | (~v90(constB169, 1)) | (~v90(constB169, 2)) | v125(constB169)),
% 54.89/35.09 inference(modus_ponens,[status(thm)],[31686, 31685])).
% 54.89/35.09 tff(31688,plain,
% 54.89/35.09 (v125(constB169)),
% 54.89/35.09 inference(unit_resolution,[status(thm)],[31687, 2279, 31684, 31650, 31619])).
% 54.89/35.09 tff(31689,plain,
% 54.89/35.09 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB169)) | v113(constB169))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB169)) | v113(constB169))),
% 54.89/35.09 inference(rewrite,[status(thm)],[])).
% 54.89/35.09 tff(31690,plain,
% 54.89/35.09 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB169)) | v113(constB169))),
% 54.89/35.09 inference(quant_inst,[status(thm)],[])).
% 54.89/35.09 tff(31691,plain,
% 54.89/35.09 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB169)) | v113(constB169)),
% 54.89/35.09 inference(modus_ponens,[status(thm)],[31690, 31689])).
% 54.89/35.09 tff(31692,plain,
% 54.89/35.09 (v113(constB169)),
% 54.89/35.09 inference(unit_resolution,[status(thm)],[31691, 2262, 31688])).
% 54.89/35.09 tff(31693,assumption,(v26(constB169)), introduced(assumption)).
% 54.89/35.09 tff(31694,plain,
% 54.89/35.09 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB169))),
% 54.89/35.09 inference(quant_inst,[status(thm)],[])).
% 54.89/35.09 tff(31695,plain,
% 54.89/35.09 ($false),
% 54.89/35.09 inference(unit_resolution,[status(thm)],[31694, 828, 31693])).
% 54.89/35.09 tff(31696,plain,(~v26(constB169)), inference(lemma,lemma(discharge,[]))).
% 54.89/35.09 tff(31697,plain,
% 54.89/35.09 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB169) | (~v113(constB169)) | v112(constB169))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB169) | (~v113(constB169)) | v112(constB169))),
% 54.89/35.09 inference(rewrite,[status(thm)],[])).
% 54.89/35.09 tff(31698,plain,
% 54.89/35.09 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB169) | (~v113(constB169)) | v112(constB169))),
% 54.89/35.09 inference(quant_inst,[status(thm)],[])).
% 54.89/35.09 tff(31699,plain,
% 54.89/35.09 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB169) | (~v113(constB169)) | v112(constB169)),
% 54.89/35.09 inference(modus_ponens,[status(thm)],[31698, 31697])).
% 54.89/35.09 tff(31700,plain,
% 54.89/35.09 ((~v113(constB169)) | v112(constB169)),
% 54.89/35.09 inference(unit_resolution,[status(thm)],[31699, 1063, 31696])).
% 54.89/35.09 tff(31701,plain,
% 54.89/35.09 (v112(constB169)),
% 54.89/35.09 inference(unit_resolution,[status(thm)],[31700, 31692])).
% 54.89/35.09 tff(31702,plain,
% 54.89/35.09 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB169) | (~v112(constB169)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB169) | (~v112(constB169)))),
% 54.89/35.09 inference(rewrite,[status(thm)],[])).
% 54.89/35.09 tff(31703,plain,
% 54.89/35.09 (((~v112(constB169)) | v108(constB169)) <=> (v108(constB169) | (~v112(constB169)))),
% 54.89/35.09 inference(rewrite,[status(thm)],[])).
% 54.89/35.09 tff(31704,plain,
% 54.89/35.09 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB169)) | v108(constB169))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB169) | (~v112(constB169))))),
% 54.89/35.09 inference(monotonicity,[status(thm)],[31703])).
% 54.89/35.09 tff(31705,plain,
% 54.89/35.09 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB169)) | v108(constB169))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB169) | (~v112(constB169)))),
% 54.89/35.09 inference(transitivity,[status(thm)],[31704, 31702])).
% 54.89/35.09 tff(31706,plain,
% 54.89/35.09 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB169)) | v108(constB169))),
% 54.89/35.09 inference(quant_inst,[status(thm)],[])).
% 54.89/35.09 tff(31707,plain,
% 54.89/35.09 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB169) | (~v112(constB169))),
% 54.89/35.09 inference(modus_ponens,[status(thm)],[31706, 31705])).
% 54.89/35.09 tff(31708,plain,
% 54.89/35.09 (v108(constB169)),
% 54.89/35.09 inference(unit_resolution,[status(thm)],[31707, 1075, 31701])).
% 54.89/35.09 tff(31709,plain,
% 54.89/35.09 (nextState(constB169, constB170) <=> nextState(constB169, constB170)),
% 54.89/35.09 inference(rewrite,[status(thm)],[])).
% 54.89/35.09 tff(31710,axiom,(nextState(constB169, constB170)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_169_1')).
% 54.89/35.09 tff(31711,plain,
% 54.89/35.09 (nextState(constB169, constB170)),
% 54.89/35.09 inference(modus_ponens,[status(thm)],[31710, 31709])).
% 54.89/35.09 tff(31712,plain,
% 54.89/35.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169)))),
% 54.89/35.09 inference(rewrite,[status(thm)],[])).
% 54.89/35.09 tff(31713,plain,
% 54.89/35.09 (((~nextState(constB169, constB170)) | (~v108(constB169)) | v110(constB170)) <=> ((~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169)))),
% 54.89/35.09 inference(rewrite,[status(thm)],[])).
% 54.89/35.09 tff(31714,plain,
% 54.89/35.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB169, constB170)) | (~v108(constB169)) | v110(constB170))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169))))),
% 54.89/35.09 inference(monotonicity,[status(thm)],[31713])).
% 54.89/35.09 tff(31715,plain,
% 54.89/35.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB169, constB170)) | (~v108(constB169)) | v110(constB170))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169)))),
% 54.89/35.09 inference(transitivity,[status(thm)],[31714, 31712])).
% 54.89/35.09 tff(31716,plain,
% 54.89/35.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB169, constB170)) | (~v108(constB169)) | v110(constB170))),
% 54.89/35.09 inference(quant_inst,[status(thm)],[])).
% 54.89/35.09 tff(31717,plain,
% 54.89/35.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB169, constB170)) | v110(constB170) | (~v108(constB169))),
% 54.89/35.09 inference(modus_ponens,[status(thm)],[31716, 31715])).
% 54.89/35.09 tff(31718,plain,
% 54.89/35.09 (v110(constB170) | (~v108(constB169))),
% 54.89/35.09 inference(unit_resolution,[status(thm)],[31717, 1095, 31711])).
% 54.89/35.09 tff(31719,plain,
% 54.89/35.09 (v110(constB170)),
% 54.89/35.09 inference(unit_resolution,[status(thm)],[31718, 31708])).
% 54.89/35.09 tff(31720,plain,
% 54.89/35.09 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB169) | (~nextState(constB169, constB170)) | (~v104(constB170)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB169) | (~nextState(constB169, constB170)) | (~v104(constB170)))),
% 54.89/35.09 inference(rewrite,[status(thm)],[])).
% 54.89/35.09 tff(31721,plain,
% 54.89/35.09 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB169) | (~nextState(constB169, constB170)) | (~v104(constB170)))),
% 54.89/35.09 inference(quant_inst,[status(thm)],[])).
% 54.89/35.09 tff(31722,plain,
% 54.89/35.09 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB169) | (~nextState(constB169, constB170)) | (~v104(constB170))),
% 54.89/35.09 inference(modus_ponens,[status(thm)],[31721, 31720])).
% 54.89/35.09 tff(31723,plain,
% 54.89/35.09 (~v104(constB170)),
% 54.89/35.09 inference(unit_resolution,[status(thm)],[31722, 1113, 31711, 31595])).
% 54.89/35.09 tff(31724,plain,
% 54.89/35.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB169, constB170)) | v102(constB170) | v104(constB170))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB169, constB170)) | v102(constB170) | v104(constB170))),
% 54.89/35.09 inference(rewrite,[status(thm)],[])).
% 54.89/35.09 tff(31725,plain,
% 54.89/35.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB169, constB170)) | v102(constB170) | v104(constB170))),
% 54.89/35.09 inference(quant_inst,[status(thm)],[])).
% 54.89/35.09 tff(31726,plain,
% 54.89/35.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB169, constB170)) | v102(constB170) | v104(constB170)),
% 54.89/35.09 inference(modus_ponens,[status(thm)],[31725, 31724])).
% 54.89/35.09 tff(31727,plain,
% 54.89/35.09 (v102(constB170) | v104(constB170)),
% 54.89/35.09 inference(unit_resolution,[status(thm)],[31726, 1127, 31711])).
% 54.89/35.09 tff(31728,plain,
% 54.89/35.09 (v102(constB170)),
% 54.89/35.09 inference(unit_resolution,[status(thm)],[31727, 31723])).
% 54.89/35.09 tff(31729,plain,
% 54.89/35.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB169, constB170)) | v101(constB170) | (~v102(constB170)) | (~v1(constB170)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB169, constB170)) | v101(constB170) | (~v102(constB170)) | (~v1(constB170)))),
% 54.89/35.09 inference(rewrite,[status(thm)],[])).
% 54.89/35.09 tff(31730,plain,
% 54.89/35.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB169, constB170)) | v101(constB170) | (~v102(constB170)) | (~v1(constB170)))),
% 54.89/35.09 inference(quant_inst,[status(thm)],[])).
% 54.89/35.09 tff(31731,plain,
% 54.89/35.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB169, constB170)) | v101(constB170) | (~v102(constB170)) | (~v1(constB170))),
% 54.89/35.09 inference(modus_ponens,[status(thm)],[31730, 31729])).
% 54.89/35.09 tff(31732,plain,
% 54.89/35.09 (v101(constB170) | (~v102(constB170))),
% 54.89/35.09 inference(unit_resolution,[status(thm)],[31731, 1145, 31711, 497])).
% 54.89/35.09 tff(31733,plain,
% 54.89/35.09 (v101(constB170)),
% 54.89/35.09 inference(unit_resolution,[status(thm)],[31732, 31728])).
% 54.89/35.09 tff(31734,plain,
% 54.89/35.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170)))),
% 54.89/35.09 inference(rewrite,[status(thm)],[])).
% 54.89/35.09 tff(31735,plain,
% 54.89/35.09 (((~nextState(constB169, constB170)) | (~v101(constB170)) | (~v110(constB170)) | v100(constB170)) <=> ((~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170)))),
% 54.89/35.09 inference(rewrite,[status(thm)],[])).
% 54.89/35.09 tff(31736,plain,
% 54.89/35.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB169, constB170)) | (~v101(constB170)) | (~v110(constB170)) | v100(constB170))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170))))),
% 54.89/35.09 inference(monotonicity,[status(thm)],[31735])).
% 54.89/35.09 tff(31737,plain,
% 54.89/35.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB169, constB170)) | (~v101(constB170)) | (~v110(constB170)) | v100(constB170))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170)))),
% 54.89/35.09 inference(transitivity,[status(thm)],[31736, 31734])).
% 54.89/35.09 tff(31738,plain,
% 54.89/35.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB169, constB170)) | (~v101(constB170)) | (~v110(constB170)) | v100(constB170))),
% 54.89/35.09 inference(quant_inst,[status(thm)],[])).
% 54.89/35.09 tff(31739,plain,
% 54.89/35.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB169, constB170)) | v100(constB170) | (~v101(constB170)) | (~v110(constB170))),
% 54.89/35.09 inference(modus_ponens,[status(thm)],[31738, 31737])).
% 54.89/35.09 tff(31740,plain,
% 54.89/35.09 (v100(constB170) | (~v101(constB170)) | (~v110(constB170))),
% 54.89/35.09 inference(unit_resolution,[status(thm)],[31739, 1160, 31711])).
% 54.89/35.09 tff(31741,plain,
% 54.89/35.09 (v100(constB170) | (~v110(constB170))),
% 54.89/35.09 inference(unit_resolution,[status(thm)],[31740, 31733])).
% 54.89/35.09 tff(31742,plain,
% 54.89/35.09 (v100(constB170)),
% 54.89/35.09 inference(unit_resolution,[status(thm)],[31741, 31719])).
% 54.89/35.09 tff(31743,plain,
% 54.89/35.09 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB169)) | (~v90(constB169, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB169)) | (~v90(constB169, 1)))),
% 54.89/35.10 inference(rewrite,[status(thm)],[])).
% 54.89/35.10 tff(31744,plain,
% 54.89/35.10 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB169)) | (~v90(constB169, 1)))),
% 54.89/35.10 inference(quant_inst,[status(thm)],[])).
% 54.89/35.10 tff(31745,plain,
% 54.89/35.10 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB169)) | (~v90(constB169, 1))),
% 54.89/35.10 inference(modus_ponens,[status(thm)],[31744, 31743])).
% 54.89/35.10 tff(31746,plain,
% 54.89/35.10 (~v119(constB169)),
% 54.89/35.10 inference(unit_resolution,[status(thm)],[31745, 2868, 31650])).
% 54.89/35.10 tff(31747,plain,
% 54.89/35.10 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB169)) | (~v90(constB169, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB169)) | (~v90(constB169, 1)))),
% 54.89/35.10 inference(rewrite,[status(thm)],[])).
% 54.89/35.10 tff(31748,plain,
% 54.89/35.10 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB169)) | (~v90(constB169, 1)))),
% 54.89/35.10 inference(quant_inst,[status(thm)],[])).
% 54.89/35.10 tff(31749,plain,
% 54.89/35.10 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB169)) | (~v90(constB169, 1))),
% 54.89/35.10 inference(modus_ponens,[status(thm)],[31748, 31747])).
% 54.89/35.10 tff(31750,plain,
% 54.89/35.10 (~v120(constB169)),
% 54.89/35.10 inference(unit_resolution,[status(thm)],[31749, 2846, 31650])).
% 54.89/35.10 tff(31751,plain,
% 54.89/35.10 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB169)) | (~v90(constB169, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB169)) | (~v90(constB169, 2)))),
% 54.89/35.10 inference(rewrite,[status(thm)],[])).
% 54.89/35.10 tff(31752,plain,
% 54.89/35.10 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB169)) | (~v90(constB169, 2)))),
% 54.89/35.10 inference(quant_inst,[status(thm)],[])).
% 54.89/35.10 tff(31753,plain,
% 54.89/35.10 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB169)) | (~v90(constB169, 2))),
% 54.89/35.10 inference(modus_ponens,[status(thm)],[31752, 31751])).
% 54.89/35.10 tff(31754,plain,
% 54.89/35.10 (~v121(constB169)),
% 54.89/35.10 inference(unit_resolution,[status(thm)],[31753, 2857, 31619])).
% 54.89/35.10 tff(31755,plain,
% 54.89/35.10 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB169)) | (~v90(constB169, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB169)) | (~v90(constB169, 2)))),
% 54.89/35.10 inference(rewrite,[status(thm)],[])).
% 54.89/35.10 tff(31756,plain,
% 54.89/35.10 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB169)) | (~v90(constB169, 2)))),
% 54.89/35.10 inference(quant_inst,[status(thm)],[])).
% 54.89/35.10 tff(31757,plain,
% 54.89/35.10 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB169)) | (~v90(constB169, 2))),
% 54.89/35.10 inference(modus_ponens,[status(thm)],[31756, 31755])).
% 54.89/35.10 tff(31758,plain,
% 54.89/35.10 (~v122(constB169)),
% 54.89/35.10 inference(unit_resolution,[status(thm)],[31757, 2797, 31619])).
% 54.89/35.10 tff(31759,plain,
% 54.89/35.10 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB169)) | (~v90(constB169, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB169)) | (~v90(constB169, 1)))),
% 54.89/35.10 inference(rewrite,[status(thm)],[])).
% 54.89/35.10 tff(31760,plain,
% 54.89/35.10 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB169)) | (~v90(constB169, 1)))),
% 54.89/35.10 inference(quant_inst,[status(thm)],[])).
% 54.89/35.10 tff(31761,plain,
% 54.89/35.10 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB169)) | (~v90(constB169, 1))),
% 54.89/35.10 inference(modus_ponens,[status(thm)],[31760, 31759])).
% 54.89/35.10 tff(31762,plain,
% 54.89/35.10 (~v124(constB169)),
% 54.89/35.10 inference(unit_resolution,[status(thm)],[31761, 2890, 31650])).
% 54.89/35.10 tff(31763,plain,
% 54.89/35.10 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB169)) | (~v90(constB169, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB169)) | (~v90(constB169, 1)))),
% 54.89/35.10 inference(rewrite,[status(thm)],[])).
% 54.89/35.10 tff(31764,plain,
% 54.89/35.10 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB169)) | (~v90(constB169, 1)))),
% 54.89/35.10 inference(quant_inst,[status(thm)],[])).
% 54.89/35.10 tff(31765,plain,
% 54.89/35.10 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB169)) | (~v90(constB169, 1))),
% 54.89/35.10 inference(modus_ponens,[status(thm)],[31764, 31763])).
% 54.89/35.10 tff(31766,plain,
% 54.89/35.10 (~v123(constB169)),
% 54.89/35.10 inference(unit_resolution,[status(thm)],[31765, 2879, 31650])).
% 54.89/35.10 tff(31767,plain,
% 54.89/35.10 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, 2)))),
% 54.89/35.10 inference(rewrite,[status(thm)],[])).
% 54.89/35.10 tff(31768,plain,
% 54.89/35.10 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, 2)))),
% 54.89/35.10 inference(quant_inst,[status(thm)],[])).
% 54.89/35.10 tff(31769,plain,
% 54.89/35.10 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, 2))),
% 54.89/35.10 inference(modus_ponens,[status(thm)],[31768, 31767])).
% 54.89/35.10 tff(31770,plain,
% 54.89/35.10 (~v130(constB169, 2)),
% 54.89/35.10 inference(unit_resolution,[status(thm)],[31769, 2904, 31766, 31762, 31758, 31754, 31750, 31746])).
% 54.89/35.10 tff(31771,plain,
% 54.89/35.10 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB169, 2)) | v26(constB169) | v130(constB169, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB169, 2)) | v26(constB169) | v130(constB169, 2))),
% 54.89/35.10 inference(rewrite,[status(thm)],[])).
% 54.89/35.10 tff(31772,plain,
% 54.89/35.10 ((v26(constB169) | v130(constB169, 2) | (~v127(constB169, 2))) <=> ((~v127(constB169, 2)) | v26(constB169) | v130(constB169, 2))),
% 54.89/35.10 inference(rewrite,[status(thm)],[])).
% 54.89/35.10 tff(31773,plain,
% 54.89/35.10 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB169) | v130(constB169, 2) | (~v127(constB169, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB169, 2)) | v26(constB169) | v130(constB169, 2)))),
% 54.89/35.10 inference(monotonicity,[status(thm)],[31772])).
% 54.89/35.10 tff(31774,plain,
% 54.89/35.10 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB169) | v130(constB169, 2) | (~v127(constB169, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB169, 2)) | v26(constB169) | v130(constB169, 2))),
% 54.89/35.10 inference(transitivity,[status(thm)],[31773, 31771])).
% 54.89/35.10 tff(31775,plain,
% 54.89/35.10 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB169) | v130(constB169, 2) | (~v127(constB169, 2)))),
% 54.89/35.10 inference(quant_inst,[status(thm)],[])).
% 54.89/35.10 tff(31776,plain,
% 54.89/35.10 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB169, 2)) | v26(constB169) | v130(constB169, 2)),
% 54.89/35.10 inference(modus_ponens,[status(thm)],[31775, 31774])).
% 54.89/35.10 tff(31777,plain,
% 54.89/35.10 ((~v127(constB169, 2)) | v130(constB169, 2)),
% 54.89/35.10 inference(unit_resolution,[status(thm)],[31776, 1190, 31696])).
% 54.89/35.10 tff(31778,plain,
% 54.89/35.10 (~v127(constB169, 2)),
% 54.89/35.10 inference(unit_resolution,[status(thm)],[31777, 31770])).
% 54.89/35.10 tff(31779,plain,
% 54.89/35.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB169, constB170)) | v127(constB169, 2) | (~v129(constB170, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB169, constB170)) | v127(constB169, 2) | (~v129(constB170, 2)))),
% 54.89/35.10 inference(rewrite,[status(thm)],[])).
% 54.89/35.10 tff(31780,plain,
% 54.89/35.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB169, constB170)) | v127(constB169, 2) | (~v129(constB170, 2)))),
% 54.89/35.10 inference(quant_inst,[status(thm)],[])).
% 54.89/35.10 tff(31781,plain,
% 54.89/35.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB169, constB170)) | v127(constB169, 2) | (~v129(constB170, 2))),
% 54.89/35.10 inference(modus_ponens,[status(thm)],[31780, 31779])).
% 54.89/35.10 tff(31782,plain,
% 54.89/35.10 (v127(constB169, 2) | (~v129(constB170, 2))),
% 54.89/35.10 inference(unit_resolution,[status(thm)],[31781, 1208, 31711])).
% 54.89/35.10 tff(31783,plain,
% 54.89/35.10 (~v129(constB170, 2)),
% 54.89/35.10 inference(unit_resolution,[status(thm)],[31782, 31778])).
% 54.89/35.10 tff(31784,plain,
% 54.89/35.10 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB170, 2)) | v129(constB170, 2) | (~v100(constB170)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB170, 2)) | v129(constB170, 2) | (~v100(constB170)))),
% 54.89/35.10 inference(rewrite,[status(thm)],[])).
% 54.89/35.10 tff(31785,plain,
% 54.89/35.10 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB170, 2)) | v129(constB170, 2) | (~v100(constB170)))),
% 54.89/35.10 inference(quant_inst,[status(thm)],[])).
% 54.89/35.10 tff(31786,plain,
% 54.89/35.10 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB170, 2)) | v129(constB170, 2) | (~v100(constB170))),
% 54.89/35.10 inference(modus_ponens,[status(thm)],[31785, 31784])).
% 54.89/35.10 tff(31787,plain,
% 54.89/35.10 ((~v90(constB170, 2)) | (~v100(constB170))),
% 54.89/35.10 inference(unit_resolution,[status(thm)],[31786, 1223, 31783])).
% 54.89/35.10 tff(31788,plain,
% 54.89/35.10 (~v90(constB170, 2)),
% 54.89/35.10 inference(unit_resolution,[status(thm)],[31787, 31742])).
% 54.89/35.10 tff(31789,plain,
% 54.89/35.10 ((~v1(constB171)) <=> (~v1(constB171))),
% 54.89/35.10 inference(rewrite,[status(thm)],[])).
% 54.89/35.10 tff(31790,axiom,(~v1(constB171)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_171_1_1')).
% 54.89/35.10 tff(31791,plain,
% 54.89/35.10 (~v1(constB171)),
% 54.89/35.10 inference(modus_ponens,[status(thm)],[31790, 31789])).
% 54.89/35.10 tff(31792,plain,
% 54.89/35.10 (nextState(constB170, constB171) <=> nextState(constB170, constB171)),
% 54.89/35.10 inference(rewrite,[status(thm)],[])).
% 54.89/35.10 tff(31793,axiom,(nextState(constB170, constB171)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_170_1')).
% 54.89/35.10 tff(31794,plain,
% 54.89/35.10 (nextState(constB170, constB171)),
% 54.89/35.10 inference(modus_ponens,[status(thm)],[31793, 31792])).
% 54.89/35.10 tff(31795,plain,
% 54.89/35.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171)))),
% 54.89/35.10 inference(rewrite,[status(thm)],[])).
% 54.89/35.10 tff(31796,plain,
% 54.89/35.10 (((~nextState(constB170, constB171)) | (~v101(constB171)) | v1(constB171)) <=> (v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171)))),
% 54.89/35.10 inference(rewrite,[status(thm)],[])).
% 54.89/35.10 tff(31797,plain,
% 54.89/35.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB170, constB171)) | (~v101(constB171)) | v1(constB171))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171))))),
% 54.89/35.10 inference(monotonicity,[status(thm)],[31796])).
% 54.89/35.10 tff(31798,plain,
% 54.89/35.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB170, constB171)) | (~v101(constB171)) | v1(constB171))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171)))),
% 54.89/35.10 inference(transitivity,[status(thm)],[31797, 31795])).
% 54.89/35.10 tff(31799,plain,
% 54.89/35.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB170, constB171)) | (~v101(constB171)) | v1(constB171))),
% 54.89/35.10 inference(quant_inst,[status(thm)],[])).
% 54.89/35.10 tff(31800,plain,
% 54.89/35.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB171) | (~nextState(constB170, constB171)) | (~v101(constB171))),
% 54.89/35.10 inference(modus_ponens,[status(thm)],[31799, 31798])).
% 54.89/35.10 tff(31801,plain,
% 54.89/35.10 (~v101(constB171)),
% 54.89/35.10 inference(unit_resolution,[status(thm)],[31800, 873, 31794, 31791])).
% 54.89/35.10 tff(31802,plain,
% 54.89/35.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB170, constB171)) | v101(constB171) | (~v100(constB171)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB170, constB171)) | v101(constB171) | (~v100(constB171)))),
% 54.89/35.10 inference(rewrite,[status(thm)],[])).
% 54.89/35.10 tff(31803,plain,
% 54.89/35.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB170, constB171)) | v101(constB171) | (~v100(constB171)))),
% 54.89/35.10 inference(quant_inst,[status(thm)],[])).
% 54.89/35.10 tff(31804,plain,
% 54.89/35.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB170, constB171)) | v101(constB171) | (~v100(constB171))),
% 54.89/35.10 inference(modus_ponens,[status(thm)],[31803, 31802])).
% 54.89/35.10 tff(31805,plain,
% 54.89/35.10 (v101(constB171) | (~v100(constB171))),
% 54.89/35.10 inference(unit_resolution,[status(thm)],[31804, 890, 31794])).
% 54.89/35.10 tff(31806,plain,
% 54.89/35.10 (~v100(constB171)),
% 54.89/35.10 inference(unit_resolution,[status(thm)],[31805, 31801])).
% 54.89/35.10 tff(31807,plain,
% 54.89/35.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB170, 2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB170, 2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, 2)))),
% 54.89/35.10 inference(rewrite,[status(thm)],[])).
% 54.89/35.10 tff(31808,plain,
% 54.89/35.10 (((~nextState(constB170, constB171)) | v90(constB170, 2) | v100(constB171) | (~v90(constB171, 2))) <=> (v90(constB170, 2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, 2)))),
% 54.89/35.10 inference(rewrite,[status(thm)],[])).
% 54.89/35.10 tff(31809,plain,
% 54.89/35.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB170, constB171)) | v90(constB170, 2) | v100(constB171) | (~v90(constB171, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB170, 2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, 2))))),
% 54.89/35.10 inference(monotonicity,[status(thm)],[31808])).
% 54.89/35.10 tff(31810,plain,
% 54.89/35.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB170, constB171)) | v90(constB170, 2) | v100(constB171) | (~v90(constB171, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB170, 2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, 2)))),
% 54.89/35.10 inference(transitivity,[status(thm)],[31809, 31807])).
% 54.89/35.10 tff(31811,plain,
% 54.89/35.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB170, constB171)) | v90(constB170, 2) | v100(constB171) | (~v90(constB171, 2)))),
% 54.89/35.10 inference(quant_inst,[status(thm)],[])).
% 54.89/35.10 tff(31812,plain,
% 54.89/35.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB170, 2) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, 2))),
% 54.89/35.10 inference(modus_ponens,[status(thm)],[31811, 31810])).
% 54.89/35.10 tff(31813,plain,
% 54.89/35.10 (v90(constB170, 2) | v100(constB171) | (~v90(constB171, 2))),
% 54.89/35.10 inference(unit_resolution,[status(thm)],[31812, 905, 31794])).
% 54.89/35.10 tff(31814,plain,
% 54.89/35.10 (v90(constB170, 2) | (~v90(constB171, 2))),
% 54.89/35.10 inference(unit_resolution,[status(thm)],[31813, 31806])).
% 54.89/35.10 tff(31815,plain,
% 54.89/35.10 (~v90(constB171, 2)),
% 54.89/35.10 inference(unit_resolution,[status(thm)],[31814, 31788])).
% 54.89/35.10 tff(31816,plain,
% 54.89/35.10 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB171, 2)) | v90(constB171, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB171, 2)) | v90(constB171, 2))),
% 54.89/35.10 inference(rewrite,[status(thm)],[])).
% 54.89/35.10 tff(31817,plain,
% 54.89/35.10 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB171, 2)) | v90(constB171, 2))),
% 54.89/35.10 inference(quant_inst,[status(thm)],[])).
% 54.89/35.10 tff(31818,plain,
% 54.89/35.10 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB171, 2)) | v90(constB171, 2)),
% 54.89/35.10 inference(modus_ponens,[status(thm)],[31817, 31816])).
% 54.89/35.10 tff(31819,plain,
% 54.89/35.10 (~v88(constB171, 2)),
% 54.89/35.10 inference(unit_resolution,[status(thm)],[31818, 24881, 31815])).
% 54.89/35.10 tff(31820,plain,
% 54.89/35.10 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, 1)))),
% 54.89/35.10 inference(rewrite,[status(thm)],[])).
% 54.89/35.10 tff(31821,plain,
% 54.89/35.10 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, 1)))),
% 54.89/35.10 inference(quant_inst,[status(thm)],[])).
% 54.89/35.10 tff(31822,plain,
% 54.89/35.10 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | (~v130(constB169, 1))),
% 54.89/35.10 inference(modus_ponens,[status(thm)],[31821, 31820])).
% 54.89/35.10 tff(31823,plain,
% 54.89/35.10 (~v130(constB169, 1)),
% 54.89/35.10 inference(unit_resolution,[status(thm)],[31822, 3309, 31766, 31762, 31758, 31754, 31750, 31746])).
% 54.89/35.10 tff(31824,plain,
% 54.89/35.10 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB169, 1)) | v26(constB169) | v130(constB169, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB169, 1)) | v26(constB169) | v130(constB169, 1))),
% 54.89/35.10 inference(rewrite,[status(thm)],[])).
% 54.89/35.10 tff(31825,plain,
% 54.89/35.10 ((v26(constB169) | v130(constB169, 1) | (~v127(constB169, 1))) <=> ((~v127(constB169, 1)) | v26(constB169) | v130(constB169, 1))),
% 54.89/35.10 inference(rewrite,[status(thm)],[])).
% 54.89/35.10 tff(31826,plain,
% 54.89/35.10 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB169) | v130(constB169, 1) | (~v127(constB169, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB169, 1)) | v26(constB169) | v130(constB169, 1)))),
% 54.89/35.10 inference(monotonicity,[status(thm)],[31825])).
% 54.89/35.10 tff(31827,plain,
% 54.89/35.10 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB169) | v130(constB169, 1) | (~v127(constB169, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB169, 1)) | v26(constB169) | v130(constB169, 1))),
% 54.89/35.10 inference(transitivity,[status(thm)],[31826, 31824])).
% 54.89/35.10 tff(31828,plain,
% 54.89/35.10 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB169) | v130(constB169, 1) | (~v127(constB169, 1)))),
% 54.89/35.10 inference(quant_inst,[status(thm)],[])).
% 54.89/35.10 tff(31829,plain,
% 54.89/35.10 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB169, 1)) | v26(constB169) | v130(constB169, 1)),
% 54.89/35.10 inference(modus_ponens,[status(thm)],[31828, 31827])).
% 54.89/35.10 tff(31830,plain,
% 54.89/35.10 ((~v127(constB169, 1)) | v130(constB169, 1)),
% 54.89/35.10 inference(unit_resolution,[status(thm)],[31829, 1276, 31696])).
% 54.89/35.10 tff(31831,plain,
% 54.89/35.10 (~v127(constB169, 1)),
% 54.89/35.10 inference(unit_resolution,[status(thm)],[31830, 31823])).
% 54.89/35.10 tff(31832,plain,
% 54.89/35.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB169, constB170)) | v127(constB169, 1) | (~v129(constB170, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB169, constB170)) | v127(constB169, 1) | (~v129(constB170, 1)))),
% 54.89/35.10 inference(rewrite,[status(thm)],[])).
% 54.89/35.10 tff(31833,plain,
% 54.89/35.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB169, constB170)) | v127(constB169, 1) | (~v129(constB170, 1)))),
% 54.89/35.10 inference(quant_inst,[status(thm)],[])).
% 54.89/35.10 tff(31834,plain,
% 54.89/35.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB169, constB170)) | v127(constB169, 1) | (~v129(constB170, 1))),
% 54.89/35.10 inference(modus_ponens,[status(thm)],[31833, 31832])).
% 54.89/35.10 tff(31835,plain,
% 54.89/35.10 (v127(constB169, 1) | (~v129(constB170, 1))),
% 54.89/35.10 inference(unit_resolution,[status(thm)],[31834, 1294, 31711])).
% 54.89/35.10 tff(31836,plain,
% 54.89/35.10 (~v129(constB170, 1)),
% 54.89/35.10 inference(unit_resolution,[status(thm)],[31835, 31831])).
% 54.89/35.10 tff(31837,plain,
% 54.89/35.10 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB170, 1)) | v129(constB170, 1) | (~v100(constB170)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB170, 1)) | v129(constB170, 1) | (~v100(constB170)))),
% 54.89/35.10 inference(rewrite,[status(thm)],[])).
% 54.89/35.10 tff(31838,plain,
% 54.89/35.10 (((~v90(constB170, 1)) | (~v100(constB170)) | v129(constB170, 1)) <=> ((~v90(constB170, 1)) | v129(constB170, 1) | (~v100(constB170)))),
% 54.89/35.10 inference(rewrite,[status(thm)],[])).
% 54.89/35.10 tff(31839,plain,
% 54.89/35.10 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB170, 1)) | (~v100(constB170)) | v129(constB170, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB170, 1)) | v129(constB170, 1) | (~v100(constB170))))),
% 54.89/35.10 inference(monotonicity,[status(thm)],[31838])).
% 54.89/35.10 tff(31840,plain,
% 54.89/35.10 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB170, 1)) | (~v100(constB170)) | v129(constB170, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB170, 1)) | v129(constB170, 1) | (~v100(constB170)))),
% 54.89/35.10 inference(transitivity,[status(thm)],[31839, 31837])).
% 54.89/35.10 tff(31841,plain,
% 54.89/35.10 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB170, 1)) | (~v100(constB170)) | v129(constB170, 1))),
% 54.89/35.10 inference(quant_inst,[status(thm)],[])).
% 54.89/35.10 tff(31842,plain,
% 54.89/35.10 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB170, 1)) | v129(constB170, 1) | (~v100(constB170))),
% 54.89/35.10 inference(modus_ponens,[status(thm)],[31841, 31840])).
% 54.89/35.10 tff(31843,plain,
% 54.89/35.10 ((~v90(constB170, 1)) | (~v100(constB170))),
% 54.89/35.10 inference(unit_resolution,[status(thm)],[31842, 1309, 31836])).
% 54.89/35.10 tff(31844,plain,
% 54.89/35.10 (~v90(constB170, 1)),
% 54.89/35.10 inference(unit_resolution,[status(thm)],[31843, 31742])).
% 54.89/35.10 tff(31845,plain,
% 54.89/35.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB170, 1) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB170, 1) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, 1)))),
% 54.89/35.10 inference(rewrite,[status(thm)],[])).
% 54.89/35.10 tff(31846,plain,
% 54.89/35.10 (((~nextState(constB170, constB171)) | v90(constB170, 1) | v100(constB171) | (~v90(constB171, 1))) <=> (v90(constB170, 1) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, 1)))),
% 54.89/35.10 inference(rewrite,[status(thm)],[])).
% 54.89/35.10 tff(31847,plain,
% 54.89/35.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB170, constB171)) | v90(constB170, 1) | v100(constB171) | (~v90(constB171, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB170, 1) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, 1))))),
% 54.89/35.10 inference(monotonicity,[status(thm)],[31846])).
% 54.89/35.10 tff(31848,plain,
% 54.89/35.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB170, constB171)) | v90(constB170, 1) | v100(constB171) | (~v90(constB171, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB170, 1) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, 1)))),
% 54.89/35.10 inference(transitivity,[status(thm)],[31847, 31845])).
% 54.89/35.10 tff(31849,plain,
% 54.89/35.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB170, constB171)) | v90(constB170, 1) | v100(constB171) | (~v90(constB171, 1)))),
% 54.89/35.10 inference(quant_inst,[status(thm)],[])).
% 54.89/35.10 tff(31850,plain,
% 54.89/35.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB170, 1) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, 1))),
% 54.89/35.10 inference(modus_ponens,[status(thm)],[31849, 31848])).
% 54.89/35.10 tff(31851,plain,
% 54.89/35.10 (v90(constB170, 1) | v100(constB171) | (~v90(constB171, 1))),
% 54.89/35.10 inference(unit_resolution,[status(thm)],[31850, 926, 31794])).
% 54.89/35.10 tff(31852,plain,
% 54.89/35.10 (v90(constB170, 1) | (~v90(constB171, 1))),
% 54.89/35.10 inference(unit_resolution,[status(thm)],[31851, 31806])).
% 54.89/35.10 tff(31853,plain,
% 54.89/35.10 (~v90(constB171, 1)),
% 54.89/35.10 inference(unit_resolution,[status(thm)],[31852, 31844])).
% 54.89/35.10 tff(31854,plain,
% 54.89/35.10 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB171, 1)) | v90(constB171, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB171, 1)) | v90(constB171, 1))),
% 54.89/35.10 inference(rewrite,[status(thm)],[])).
% 54.89/35.10 tff(31855,plain,
% 54.89/35.10 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB171, 1)) | v90(constB171, 1))),
% 54.89/35.10 inference(quant_inst,[status(thm)],[])).
% 54.89/35.10 tff(31856,plain,
% 54.89/35.10 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB171, 1)) | v90(constB171, 1)),
% 54.89/35.10 inference(modus_ponens,[status(thm)],[31855, 31854])).
% 54.89/35.10 tff(31857,plain,
% 54.89/35.10 (~v88(constB171, 1)),
% 54.89/35.10 inference(unit_resolution,[status(thm)],[31856, 13998, 31853])).
% 54.89/35.10 tff(31858,plain,
% 54.89/35.10 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | v130(constB169, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | v130(constB169, 0))),
% 54.89/35.10 inference(rewrite,[status(thm)],[])).
% 54.89/35.10 tff(31859,plain,
% 54.89/35.10 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | v130(constB169, 0))),
% 54.89/35.10 inference(quant_inst,[status(thm)],[])).
% 54.89/35.10 tff(31860,plain,
% 54.89/35.10 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v123(constB169) | v124(constB169) | v130(constB169, 0)),
% 54.89/35.10 inference(modus_ponens,[status(thm)],[31859, 31858])).
% 54.89/35.10 tff(31861,plain,
% 54.89/35.10 (v130(constB169, 0)),
% 54.89/35.10 inference(unit_resolution,[status(thm)],[31860, 3413, 31766, 31762, 31758, 31754, 31750, 31746])).
% 54.89/35.10 tff(31862,plain,
% 54.89/35.10 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB169) | (~v130(constB169, 0)) | v127(constB169, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB169) | (~v130(constB169, 0)) | v127(constB169, 0))),
% 54.89/35.10 inference(rewrite,[status(thm)],[])).
% 54.89/35.10 tff(31863,plain,
% 54.89/35.10 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB169) | (~v130(constB169, 0)) | v127(constB169, 0))),
% 54.89/35.10 inference(quant_inst,[status(thm)],[])).
% 54.89/35.10 tff(31864,plain,
% 54.89/35.10 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB169) | (~v130(constB169, 0)) | v127(constB169, 0)),
% 54.89/35.10 inference(modus_ponens,[status(thm)],[31863, 31862])).
% 54.89/35.10 tff(31865,plain,
% 54.89/35.10 ((~v130(constB169, 0)) | v127(constB169, 0)),
% 54.89/35.10 inference(unit_resolution,[status(thm)],[31864, 1347, 31696])).
% 54.89/35.10 tff(31866,plain,
% 54.89/35.10 (v127(constB169, 0)),
% 54.89/35.10 inference(unit_resolution,[status(thm)],[31865, 31861])).
% 54.89/35.10 tff(31867,plain,
% 54.89/35.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB169, constB170)) | (~v127(constB169, 0)) | v129(constB170, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB169, constB170)) | (~v127(constB169, 0)) | v129(constB170, 0))),
% 54.89/35.10 inference(rewrite,[status(thm)],[])).
% 54.89/35.10 tff(31868,plain,
% 54.89/35.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB169, constB170)) | (~v127(constB169, 0)) | v129(constB170, 0))),
% 54.89/35.10 inference(quant_inst,[status(thm)],[])).
% 54.89/35.10 tff(31869,plain,
% 54.89/35.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB169, constB170)) | (~v127(constB169, 0)) | v129(constB170, 0)),
% 54.89/35.10 inference(modus_ponens,[status(thm)],[31868, 31867])).
% 54.89/35.10 tff(31870,plain,
% 54.89/35.10 ((~v127(constB169, 0)) | v129(constB170, 0)),
% 54.89/35.10 inference(unit_resolution,[status(thm)],[31869, 1362, 31711])).
% 54.89/35.10 tff(31871,plain,
% 54.89/35.10 (v129(constB170, 0)),
% 54.89/35.10 inference(unit_resolution,[status(thm)],[31870, 31866])).
% 54.89/35.10 tff(31872,plain,
% 54.89/35.10 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB170, 0) | (~v129(constB170, 0)) | (~v100(constB170)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB170, 0) | (~v129(constB170, 0)) | (~v100(constB170)))),
% 54.89/35.10 inference(rewrite,[status(thm)],[])).
% 54.89/35.10 tff(31873,plain,
% 54.89/35.10 ((v90(constB170, 0) | (~v100(constB170)) | (~v129(constB170, 0))) <=> (v90(constB170, 0) | (~v129(constB170, 0)) | (~v100(constB170)))),
% 54.89/35.10 inference(rewrite,[status(thm)],[])).
% 54.89/35.10 tff(31874,plain,
% 54.89/35.10 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB170, 0) | (~v100(constB170)) | (~v129(constB170, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB170, 0) | (~v129(constB170, 0)) | (~v100(constB170))))),
% 54.89/35.10 inference(monotonicity,[status(thm)],[31873])).
% 54.89/35.10 tff(31875,plain,
% 54.89/35.10 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB170, 0) | (~v100(constB170)) | (~v129(constB170, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB170, 0) | (~v129(constB170, 0)) | (~v100(constB170)))),
% 54.89/35.10 inference(transitivity,[status(thm)],[31874, 31872])).
% 54.89/35.10 tff(31876,plain,
% 54.89/35.10 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB170, 0) | (~v100(constB170)) | (~v129(constB170, 0)))),
% 54.89/35.10 inference(quant_inst,[status(thm)],[])).
% 54.89/35.10 tff(31877,plain,
% 54.89/35.10 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB170, 0) | (~v129(constB170, 0)) | (~v100(constB170))),
% 54.89/35.10 inference(modus_ponens,[status(thm)],[31876, 31875])).
% 54.89/35.10 tff(31878,plain,
% 54.89/35.10 (v90(constB170, 0) | (~v100(constB170))),
% 54.89/35.10 inference(unit_resolution,[status(thm)],[31877, 1377, 31871])).
% 54.89/35.10 tff(31879,plain,
% 54.89/35.10 (v90(constB170, 0)),
% 54.89/35.10 inference(unit_resolution,[status(thm)],[31878, 31742])).
% 54.89/35.10 tff(31880,plain,
% 54.89/35.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB170, 0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB170, 0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, 0))),
% 54.89/35.10 inference(rewrite,[status(thm)],[])).
% 54.89/35.10 tff(31881,plain,
% 54.89/35.10 (((~nextState(constB170, constB171)) | (~v90(constB170, 0)) | v100(constB171) | v90(constB171, 0)) <=> ((~v90(constB170, 0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, 0))),
% 54.89/35.10 inference(rewrite,[status(thm)],[])).
% 54.89/35.10 tff(31882,plain,
% 54.89/35.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB170, constB171)) | (~v90(constB170, 0)) | v100(constB171) | v90(constB171, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB170, 0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, 0)))),
% 54.89/35.10 inference(monotonicity,[status(thm)],[31881])).
% 54.89/35.10 tff(31883,plain,
% 54.89/35.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB170, constB171)) | (~v90(constB170, 0)) | v100(constB171) | v90(constB171, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB170, 0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, 0))),
% 54.89/35.10 inference(transitivity,[status(thm)],[31882, 31880])).
% 54.89/35.10 tff(31884,plain,
% 54.89/35.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB170, constB171)) | (~v90(constB170, 0)) | v100(constB171) | v90(constB171, 0))),
% 54.89/35.10 inference(quant_inst,[status(thm)],[])).
% 54.89/35.10 tff(31885,plain,
% 54.89/35.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB170, 0)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, 0)),
% 54.89/35.10 inference(modus_ponens,[status(thm)],[31884, 31883])).
% 54.89/35.10 tff(31886,plain,
% 54.89/35.10 ((~v90(constB170, 0)) | v100(constB171) | v90(constB171, 0)),
% 54.89/35.10 inference(unit_resolution,[status(thm)],[31885, 1395, 31794])).
% 54.89/35.10 tff(31887,plain,
% 54.89/35.10 ((~v90(constB170, 0)) | v90(constB171, 0)),
% 54.89/35.10 inference(unit_resolution,[status(thm)],[31886, 31806])).
% 54.89/35.10 tff(31888,plain,
% 54.89/35.10 (v90(constB171, 0)),
% 54.89/35.10 inference(unit_resolution,[status(thm)],[31887, 31879])).
% 54.89/35.10 tff(31889,plain,
% 54.89/35.10 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB171, 0)) | v88(constB171, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB171, 0)) | v88(constB171, 0))),
% 54.89/35.10 inference(rewrite,[status(thm)],[])).
% 54.89/35.10 tff(31890,plain,
% 54.89/35.10 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB171, 0)) | v88(constB171, 0))),
% 54.89/35.10 inference(quant_inst,[status(thm)],[])).
% 54.89/35.10 tff(31891,plain,
% 54.89/35.10 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB171, 0)) | v88(constB171, 0)),
% 54.89/35.10 inference(modus_ponens,[status(thm)],[31890, 31889])).
% 54.89/35.10 tff(31892,plain,
% 54.89/35.10 (v88(constB171, 0)),
% 54.89/35.10 inference(unit_resolution,[status(thm)],[31891, 13903, 31888])).
% 54.89/35.10 tff(31893,plain,
% 54.89/35.10 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB171, 1) | v88(constB171, 2) | (~v88(constB171, 0)) | v140(constB171))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | v88(constB171, 1) | v88(constB171, 2) | (~v88(constB171, 0)) | v140(constB171))),
% 54.89/35.10 inference(rewrite,[status(thm)],[])).
% 54.89/35.10 tff(31894,plain,
% 54.89/35.10 ((v88(constB171, 2) | v88(constB171, 1) | (~v88(constB171, 0)) | v140(constB171)) <=> (v88(constB171, 1) | v88(constB171, 2) | (~v88(constB171, 0)) | v140(constB171))),
% 54.89/35.10 inference(rewrite,[status(thm)],[])).
% 54.89/35.10 tff(31895,plain,
% 54.89/35.10 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB171, 2) | v88(constB171, 1) | (~v88(constB171, 0)) | v140(constB171))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB171, 1) | v88(constB171, 2) | (~v88(constB171, 0)) | v140(constB171)))),
% 54.89/35.10 inference(monotonicity,[status(thm)],[31894])).
% 54.89/35.10 tff(31896,plain,
% 54.89/35.10 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB171, 2) | v88(constB171, 1) | (~v88(constB171, 0)) | v140(constB171))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | v88(constB171, 1) | v88(constB171, 2) | (~v88(constB171, 0)) | v140(constB171))),
% 54.89/35.10 inference(transitivity,[status(thm)],[31895, 31893])).
% 54.89/35.10 tff(31897,plain,
% 54.89/35.10 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB171, 2) | v88(constB171, 1) | (~v88(constB171, 0)) | v140(constB171))),
% 54.89/35.10 inference(quant_inst,[status(thm)],[])).
% 54.89/35.10 tff(31898,plain,
% 54.89/35.10 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | v88(constB171, 1) | v88(constB171, 2) | (~v88(constB171, 0)) | v140(constB171)),
% 54.89/35.10 inference(modus_ponens,[status(thm)],[31897, 31896])).
% 54.89/35.10 tff(31899,plain,
% 54.89/35.10 (v140(constB171)),
% 54.89/35.10 inference(unit_resolution,[status(thm)],[31898, 25313, 31892, 31857, 31819])).
% 54.89/35.10 tff(31900,plain,
% 54.89/35.10 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v170(VarCurr))) | (v170(constB171) | (~v140(constB171)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v170(VarCurr))) | v170(constB171) | (~v140(constB171)))),
% 54.89/35.10 inference(rewrite,[status(thm)],[])).
% 54.89/35.10 tff(31901,plain,
% 54.89/35.10 (((~v140(constB171)) | v170(constB171)) <=> (v170(constB171) | (~v140(constB171)))),
% 54.89/35.10 inference(rewrite,[status(thm)],[])).
% 54.89/35.10 tff(31902,plain,
% 54.89/35.10 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v170(VarCurr))) | ((~v140(constB171)) | v170(constB171))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v170(VarCurr))) | (v170(constB171) | (~v140(constB171))))),
% 54.89/35.10 inference(monotonicity,[status(thm)],[31901])).
% 54.89/35.10 tff(31903,plain,
% 54.89/35.10 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v170(VarCurr))) | ((~v140(constB171)) | v170(constB171))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v170(VarCurr))) | v170(constB171) | (~v140(constB171)))),
% 54.89/35.10 inference(transitivity,[status(thm)],[31902, 31900])).
% 54.89/35.10 tff(31904,plain,
% 54.89/35.10 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v170(VarCurr))) | ((~v140(constB171)) | v170(constB171))),
% 54.89/35.10 inference(quant_inst,[status(thm)],[])).
% 54.89/35.10 tff(31905,plain,
% 54.89/35.10 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v170(VarCurr))) | v170(constB171) | (~v140(constB171))),
% 54.89/35.10 inference(modus_ponens,[status(thm)],[31904, 31903])).
% 54.89/35.10 tff(31906,plain,
% 54.89/35.10 (v170(constB171)),
% 54.89/35.10 inference(unit_resolution,[status(thm)],[31905, 25327, 31899])).
% 54.89/35.10 tff(31907,plain,
% 54.89/35.10 (((~![VarCurr: state_type] : (v167(VarCurr) | (~v170(VarCurr)))) | (v167(constB171) | (~v170(constB171)))) <=> ((~![VarCurr: state_type] : (v167(VarCurr) | (~v170(VarCurr)))) | v167(constB171) | (~v170(constB171)))),
% 54.89/35.10 inference(rewrite,[status(thm)],[])).
% 54.89/35.10 tff(31908,plain,
% 54.89/35.10 ((~![VarCurr: state_type] : (v167(VarCurr) | (~v170(VarCurr)))) | (v167(constB171) | (~v170(constB171)))),
% 54.89/35.10 inference(quant_inst,[status(thm)],[])).
% 54.89/35.10 tff(31909,plain,
% 54.89/35.10 ((~![VarCurr: state_type] : (v167(VarCurr) | (~v170(VarCurr)))) | v167(constB171) | (~v170(constB171))),
% 54.89/35.10 inference(modus_ponens,[status(thm)],[31908, 31907])).
% 54.89/35.10 tff(31910,plain,
% 54.89/35.10 (v167(constB171)),
% 54.89/35.10 inference(unit_resolution,[status(thm)],[31909, 25341, 31906])).
% 54.89/35.10 tff(31911,plain,
% 54.89/35.10 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB171) | (~v167(constB171)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB171) | (~v167(constB171)))),
% 54.89/35.10 inference(rewrite,[status(thm)],[])).
% 54.89/35.10 tff(31912,plain,
% 54.89/35.10 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB171) | (~v167(constB171)))),
% 54.89/35.10 inference(quant_inst,[status(thm)],[])).
% 54.89/35.10 tff(31913,plain,
% 54.89/35.10 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB171) | (~v167(constB171))),
% 54.89/35.10 inference(modus_ponens,[status(thm)],[31912, 31911])).
% 54.89/35.10 tff(31914,plain,
% 54.89/35.10 (v166(constB171)),
% 54.89/35.10 inference(unit_resolution,[status(thm)],[31913, 25355, 31910])).
% 54.89/35.10 tff(31915,plain,
% 54.89/35.10 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (v165(constB171) | (~v166(constB171)))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB171) | (~v166(constB171)))),
% 54.89/35.10 inference(rewrite,[status(thm)],[])).
% 54.89/35.10 tff(31916,plain,
% 54.89/35.10 (((~v166(constB171)) | v165(constB171)) <=> (v165(constB171) | (~v166(constB171)))),
% 54.89/35.10 inference(rewrite,[status(thm)],[])).
% 54.89/35.10 tff(31917,plain,
% 54.89/35.10 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB171)) | v165(constB171))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (v165(constB171) | (~v166(constB171))))),
% 54.89/35.10 inference(monotonicity,[status(thm)],[31916])).
% 54.89/35.10 tff(31918,plain,
% 54.89/35.10 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB171)) | v165(constB171))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB171) | (~v166(constB171)))),
% 54.89/35.10 inference(transitivity,[status(thm)],[31917, 31915])).
% 54.89/35.10 tff(31919,plain,
% 54.89/35.10 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB171)) | v165(constB171))),
% 54.89/35.10 inference(quant_inst,[status(thm)],[])).
% 54.89/35.10 tff(31920,plain,
% 54.89/35.10 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB171) | (~v166(constB171))),
% 54.89/35.10 inference(modus_ponens,[status(thm)],[31919, 31918])).
% 54.89/35.11 tff(31921,plain,
% 54.89/35.11 (v165(constB171)),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[31920, 24989, 31914])).
% 54.89/35.11 tff(31922,plain,
% 54.89/35.11 (((~![VarCurr: state_type] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | ((~v169(constB171)) | (~v170(constB171)))) <=> ((~![VarCurr: state_type] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | (~v169(constB171)) | (~v170(constB171)))),
% 54.89/35.11 inference(rewrite,[status(thm)],[])).
% 54.89/35.11 tff(31923,plain,
% 54.89/35.11 (((~v170(constB171)) | (~v169(constB171))) <=> ((~v169(constB171)) | (~v170(constB171)))),
% 54.89/35.11 inference(rewrite,[status(thm)],[])).
% 54.89/35.11 tff(31924,plain,
% 54.89/35.11 (((~![VarCurr: state_type] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | ((~v170(constB171)) | (~v169(constB171)))) <=> ((~![VarCurr: state_type] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | ((~v169(constB171)) | (~v170(constB171))))),
% 54.89/35.11 inference(monotonicity,[status(thm)],[31923])).
% 54.89/35.11 tff(31925,plain,
% 54.89/35.11 (((~![VarCurr: state_type] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | ((~v170(constB171)) | (~v169(constB171)))) <=> ((~![VarCurr: state_type] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | (~v169(constB171)) | (~v170(constB171)))),
% 54.89/35.11 inference(transitivity,[status(thm)],[31924, 31922])).
% 54.89/35.11 tff(31926,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | ((~v170(constB171)) | (~v169(constB171)))),
% 54.89/35.11 inference(quant_inst,[status(thm)],[])).
% 54.89/35.11 tff(31927,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | (~v169(constB171)) | (~v170(constB171))),
% 54.89/35.11 inference(modus_ponens,[status(thm)],[31926, 31925])).
% 54.89/35.11 tff(31928,plain,
% 54.89/35.11 (~v169(constB171)),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[31927, 25373, 31906])).
% 54.89/35.11 tff(31929,plain,
% 54.89/35.11 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB171)) | v169(constB171) | (~v165(constB171)))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB171)) | v169(constB171) | (~v165(constB171)))),
% 54.89/35.11 inference(rewrite,[status(thm)],[])).
% 54.89/35.11 tff(31930,plain,
% 54.89/35.11 (((~v165(constB171)) | v169(constB171) | (~v162(constB171))) <=> ((~v162(constB171)) | v169(constB171) | (~v165(constB171)))),
% 54.89/35.11 inference(rewrite,[status(thm)],[])).
% 54.89/35.11 tff(31931,plain,
% 54.89/35.11 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB171)) | v169(constB171) | (~v162(constB171)))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB171)) | v169(constB171) | (~v165(constB171))))),
% 54.89/35.11 inference(monotonicity,[status(thm)],[31930])).
% 54.89/35.11 tff(31932,plain,
% 54.89/35.11 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB171)) | v169(constB171) | (~v162(constB171)))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB171)) | v169(constB171) | (~v165(constB171)))),
% 54.89/35.11 inference(transitivity,[status(thm)],[31931, 31929])).
% 54.89/35.11 tff(31933,plain,
% 54.89/35.11 ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB171)) | v169(constB171) | (~v162(constB171)))),
% 54.89/35.11 inference(quant_inst,[status(thm)],[])).
% 54.89/35.11 tff(31934,plain,
% 54.89/35.11 ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB171)) | v169(constB171) | (~v165(constB171))),
% 54.89/35.11 inference(modus_ponens,[status(thm)],[31933, 31932])).
% 54.89/35.11 tff(31935,plain,
% 54.89/35.11 ((~v162(constB171)) | (~v165(constB171))),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[31934, 14054, 31928])).
% 54.89/35.11 tff(31936,plain,
% 54.89/35.11 (~v162(constB171)),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[31935, 31921])).
% 54.89/35.11 tff(31937,plain,
% 54.89/35.11 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB171) | (~v187(constB171)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB171) | (~v187(constB171)))),
% 54.89/35.11 inference(rewrite,[status(thm)],[])).
% 54.89/35.11 tff(31938,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB171) | (~v187(constB171)))),
% 54.89/35.11 inference(quant_inst,[status(thm)],[])).
% 54.89/35.11 tff(31939,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB171) | (~v187(constB171))),
% 54.89/35.11 inference(modus_ponens,[status(thm)],[31938, 31937])).
% 54.89/35.11 tff(31940,plain,
% 54.89/35.11 (~v187(constB171)),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[31939, 14071, 31936])).
% 54.89/35.11 tff(31941,plain,
% 54.89/35.11 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB171) | (~v185(constB171)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB171) | (~v185(constB171)))),
% 54.89/35.11 inference(rewrite,[status(thm)],[])).
% 54.89/35.11 tff(31942,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB171) | (~v185(constB171)))),
% 54.89/35.11 inference(quant_inst,[status(thm)],[])).
% 54.89/35.11 tff(31943,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB171) | (~v185(constB171))),
% 54.89/35.11 inference(modus_ponens,[status(thm)],[31942, 31941])).
% 54.89/35.11 tff(31944,plain,
% 54.89/35.11 (~v185(constB171)),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[31943, 14085, 31940])).
% 54.89/35.11 tff(31945,plain,
% 54.89/35.11 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB169, 0)) | v90(constB169, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB169, 0)) | v90(constB169, 0))),
% 54.89/35.11 inference(rewrite,[status(thm)],[])).
% 54.89/35.11 tff(31946,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB169, 0)) | v90(constB169, 0))),
% 54.89/35.11 inference(quant_inst,[status(thm)],[])).
% 54.89/35.11 tff(31947,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB169, 0)) | v90(constB169, 0)),
% 54.89/35.11 inference(modus_ponens,[status(thm)],[31946, 31945])).
% 54.89/35.11 tff(31948,plain,
% 54.89/35.11 (~v88(constB169, 0)),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[31947, 14132, 31684])).
% 54.89/35.11 tff(31949,plain,
% 54.89/35.11 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB169, 2)) | v88(constB169, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB169, 2)) | v88(constB169, 2))),
% 54.89/35.11 inference(rewrite,[status(thm)],[])).
% 54.89/35.11 tff(31950,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB169, 2)) | v88(constB169, 2))),
% 54.89/35.11 inference(quant_inst,[status(thm)],[])).
% 54.89/35.11 tff(31951,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB169, 2)) | v88(constB169, 2)),
% 54.89/35.11 inference(modus_ponens,[status(thm)],[31950, 31949])).
% 54.89/35.11 tff(31952,plain,
% 54.89/35.11 (v88(constB169, 2)),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[31951, 13850, 31619])).
% 54.89/35.11 tff(31953,plain,
% 54.89/35.11 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB169, 1)) | v88(constB169, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB169, 1)) | v88(constB169, 1))),
% 54.89/35.11 inference(rewrite,[status(thm)],[])).
% 54.89/35.11 tff(31954,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB169, 1)) | v88(constB169, 1))),
% 54.89/35.11 inference(quant_inst,[status(thm)],[])).
% 54.89/35.11 tff(31955,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB169, 1)) | v88(constB169, 1)),
% 54.89/35.11 inference(modus_ponens,[status(thm)],[31954, 31953])).
% 54.89/35.11 tff(31956,plain,
% 54.89/35.11 (v88(constB169, 1)),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[31955, 24936, 31650])).
% 54.89/35.11 tff(31957,plain,
% 54.89/35.11 (^[VarCurr: state_type] : refl(((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr)) <=> ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr)))),
% 54.89/35.11 inference(bind,[status(th)],[])).
% 54.89/35.11 tff(31958,plain,
% 54.89/35.11 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))),
% 54.89/35.11 inference(quant_intro,[status(thm)],[31957])).
% 54.89/35.11 tff(31959,plain,
% 54.89/35.11 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))),
% 54.89/35.11 inference(rewrite,[status(thm)],[])).
% 54.89/35.11 tff(31960,plain,
% 54.89/35.11 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite((v88(VarCurr, 0) | (~v88(VarCurr, 1))) <=> ((~v88(VarCurr, 1)) | v88(VarCurr, 0))), (((v88(VarCurr, 0) | (~v88(VarCurr, 1))) | (~v88(VarCurr, 2))) <=> (((~v88(VarCurr, 1)) | v88(VarCurr, 0)) | (~v88(VarCurr, 2))))), rewrite((((~v88(VarCurr, 1)) | v88(VarCurr, 0)) | (~v88(VarCurr, 2))) <=> ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0))), (((v88(VarCurr, 0) | (~v88(VarCurr, 1))) | (~v88(VarCurr, 2))) <=> ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0)))), ((((v88(VarCurr, 0) | (~v88(VarCurr, 1))) | (~v88(VarCurr, 2))) | v144(VarCurr)) <=> (((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0)) | v144(VarCurr)))), rewrite((((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0)) | v144(VarCurr)) <=> ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))), ((((v88(VarCurr, 0) | (~v88(VarCurr, 1))) | (~v88(VarCurr, 2))) | v144(VarCurr)) <=> ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))))),
% 54.89/35.11 inference(bind,[status(th)],[])).
% 54.89/35.11 tff(31961,plain,
% 54.89/35.11 (![VarCurr: state_type] : (((v88(VarCurr, 0) | (~v88(VarCurr, 1))) | (~v88(VarCurr, 2))) | v144(VarCurr)) <=> ![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))),
% 54.89/35.11 inference(quant_intro,[status(thm)],[31960])).
% 54.89/35.11 tff(31962,axiom,(![VarCurr: state_type] : (((v88(VarCurr, 0) | (~v88(VarCurr, 1))) | (~v88(VarCurr, 2))) | v144(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_13_1_1_1')).
% 54.89/35.11 tff(31963,plain,
% 54.89/35.11 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))),
% 54.89/35.11 inference(modus_ponens,[status(thm)],[31962, 31961])).
% 54.89/35.11 tff(31964,plain,
% 54.89/35.11 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))),
% 54.89/35.11 inference(modus_ponens,[status(thm)],[31963, 31959])).
% 54.89/35.11 tff(31965,plain,(
% 54.89/35.11 ![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))),
% 54.89/35.11 inference(skolemize,[status(sab)],[31964])).
% 54.89/35.11 tff(31966,plain,
% 54.89/35.11 (![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))),
% 54.89/35.11 inference(modus_ponens,[status(thm)],[31965, 31958])).
% 54.89/35.11 tff(31967,plain,
% 54.89/35.11 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (v88(constB169, 0) | (~v88(constB169, 2)) | (~v88(constB169, 1)) | v144(constB169))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB169, 0) | (~v88(constB169, 2)) | (~v88(constB169, 1)) | v144(constB169))),
% 54.89/35.11 inference(rewrite,[status(thm)],[])).
% 54.89/35.11 tff(31968,plain,
% 54.89/35.11 (((~v88(constB169, 2)) | (~v88(constB169, 1)) | v88(constB169, 0) | v144(constB169)) <=> (v88(constB169, 0) | (~v88(constB169, 2)) | (~v88(constB169, 1)) | v144(constB169))),
% 54.89/35.11 inference(rewrite,[status(thm)],[])).
% 54.89/35.11 tff(31969,plain,
% 54.89/35.11 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB169, 2)) | (~v88(constB169, 1)) | v88(constB169, 0) | v144(constB169))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (v88(constB169, 0) | (~v88(constB169, 2)) | (~v88(constB169, 1)) | v144(constB169)))),
% 54.89/35.11 inference(monotonicity,[status(thm)],[31968])).
% 54.89/35.11 tff(31970,plain,
% 54.89/35.11 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB169, 2)) | (~v88(constB169, 1)) | v88(constB169, 0) | v144(constB169))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB169, 0) | (~v88(constB169, 2)) | (~v88(constB169, 1)) | v144(constB169))),
% 54.89/35.11 inference(transitivity,[status(thm)],[31969, 31967])).
% 54.89/35.11 tff(31971,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB169, 2)) | (~v88(constB169, 1)) | v88(constB169, 0) | v144(constB169))),
% 54.89/35.11 inference(quant_inst,[status(thm)],[])).
% 54.89/35.11 tff(31972,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB169, 0) | (~v88(constB169, 2)) | (~v88(constB169, 1)) | v144(constB169)),
% 54.89/35.11 inference(modus_ponens,[status(thm)],[31971, 31970])).
% 54.89/35.11 tff(31973,plain,
% 54.89/35.11 (v144(constB169)),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[31972, 31966, 31956, 31952, 31948])).
% 54.89/35.11 tff(31974,plain,
% 54.89/35.11 (^[VarCurr: state_type] : refl(((~v144(VarCurr)) | v142(VarCurr)) <=> ((~v144(VarCurr)) | v142(VarCurr)))),
% 54.89/35.11 inference(bind,[status(th)],[])).
% 54.89/35.11 tff(31975,plain,
% 54.89/35.11 (![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr)) <=> ![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))),
% 54.89/35.11 inference(quant_intro,[status(thm)],[31974])).
% 54.89/35.11 tff(31976,plain,
% 54.89/35.11 (![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr)) <=> ![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))),
% 54.89/35.11 inference(rewrite,[status(thm)],[])).
% 54.89/35.11 tff(31977,axiom,(![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_30_1_1')).
% 54.89/35.11 tff(31978,plain,
% 54.89/35.11 (![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))),
% 54.89/35.11 inference(modus_ponens,[status(thm)],[31977, 31976])).
% 54.89/35.11 tff(31979,plain,(
% 54.89/35.11 ![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))),
% 54.89/35.11 inference(skolemize,[status(sab)],[31978])).
% 54.89/35.11 tff(31980,plain,
% 54.89/35.11 (![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))),
% 54.89/35.11 inference(modus_ponens,[status(thm)],[31979, 31975])).
% 54.89/35.11 tff(31981,plain,
% 54.89/35.11 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB169)) | v142(constB169))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB169)) | v142(constB169))),
% 54.89/35.11 inference(rewrite,[status(thm)],[])).
% 54.89/35.11 tff(31982,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB169)) | v142(constB169))),
% 54.89/35.11 inference(quant_inst,[status(thm)],[])).
% 54.89/35.11 tff(31983,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB169)) | v142(constB169)),
% 54.89/35.11 inference(modus_ponens,[status(thm)],[31982, 31981])).
% 54.89/35.11 tff(31984,plain,
% 54.89/35.11 (v142(constB169)),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[31983, 31980, 31973])).
% 54.89/35.11 tff(31985,plain,
% 54.89/35.11 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v166(VarCurr))) | ((~v142(constB169)) | v166(constB169))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v166(VarCurr))) | (~v142(constB169)) | v166(constB169))),
% 54.89/35.11 inference(rewrite,[status(thm)],[])).
% 54.89/35.11 tff(31986,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v166(VarCurr))) | ((~v142(constB169)) | v166(constB169))),
% 54.89/35.11 inference(quant_inst,[status(thm)],[])).
% 54.89/35.11 tff(31987,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v166(VarCurr))) | (~v142(constB169)) | v166(constB169)),
% 54.89/35.11 inference(modus_ponens,[status(thm)],[31986, 31985])).
% 54.89/35.11 tff(31988,plain,
% 54.89/35.11 (v166(constB169)),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[31987, 24978, 31984])).
% 54.89/35.11 tff(31989,plain,
% 54.89/35.11 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (v165(constB169) | (~v166(constB169)))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB169) | (~v166(constB169)))),
% 54.89/35.11 inference(rewrite,[status(thm)],[])).
% 54.89/35.11 tff(31990,plain,
% 54.89/35.11 (((~v166(constB169)) | v165(constB169)) <=> (v165(constB169) | (~v166(constB169)))),
% 54.89/35.11 inference(rewrite,[status(thm)],[])).
% 54.89/35.11 tff(31991,plain,
% 54.89/35.11 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB169)) | v165(constB169))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (v165(constB169) | (~v166(constB169))))),
% 54.89/35.11 inference(monotonicity,[status(thm)],[31990])).
% 54.89/35.11 tff(31992,plain,
% 54.89/35.11 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB169)) | v165(constB169))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB169) | (~v166(constB169)))),
% 54.89/35.11 inference(transitivity,[status(thm)],[31991, 31989])).
% 54.89/35.11 tff(31993,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB169)) | v165(constB169))),
% 54.89/35.11 inference(quant_inst,[status(thm)],[])).
% 54.89/35.11 tff(31994,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB169) | (~v166(constB169))),
% 54.89/35.11 inference(modus_ponens,[status(thm)],[31993, 31992])).
% 54.89/35.11 tff(31995,plain,
% 54.89/35.11 (v165(constB169)),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[31994, 24989, 31988])).
% 54.89/35.11 tff(31996,plain,
% 54.89/35.11 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB169)) | (~v88(constB169, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB169)) | (~v88(constB169, 1)))),
% 54.89/35.11 inference(rewrite,[status(thm)],[])).
% 54.89/35.11 tff(31997,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB169)) | (~v88(constB169, 1)))),
% 54.89/35.11 inference(quant_inst,[status(thm)],[])).
% 54.89/35.11 tff(31998,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB169)) | (~v88(constB169, 1))),
% 54.89/35.11 inference(modus_ponens,[status(thm)],[31997, 31996])).
% 54.89/35.11 tff(31999,plain,
% 54.89/35.11 (~v139(constB169)),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[31998, 25003, 31956])).
% 54.89/35.11 tff(32000,plain,
% 54.89/35.11 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB169)) | (~v88(constB169, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB169)) | (~v88(constB169, 1)))),
% 54.89/35.11 inference(rewrite,[status(thm)],[])).
% 54.89/35.11 tff(32001,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB169)) | (~v88(constB169, 1)))),
% 54.89/35.11 inference(quant_inst,[status(thm)],[])).
% 54.89/35.11 tff(32002,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB169)) | (~v88(constB169, 1))),
% 54.89/35.11 inference(modus_ponens,[status(thm)],[32001, 32000])).
% 54.89/35.11 tff(32003,plain,
% 54.89/35.11 (~v140(constB169)),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[32002, 25014, 31956])).
% 54.89/35.11 tff(32004,plain,
% 54.89/35.11 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB169) | v140(constB169) | (~v170(constB169)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB169) | v140(constB169) | (~v170(constB169)))),
% 54.89/35.11 inference(rewrite,[status(thm)],[])).
% 54.89/35.11 tff(32005,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB169) | v140(constB169) | (~v170(constB169)))),
% 54.89/35.11 inference(quant_inst,[status(thm)],[])).
% 54.89/35.11 tff(32006,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB169) | v140(constB169) | (~v170(constB169))),
% 54.89/35.11 inference(modus_ponens,[status(thm)],[32005, 32004])).
% 54.89/35.11 tff(32007,plain,
% 54.89/35.11 (~v170(constB169)),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[32006, 13928, 32003, 31999])).
% 54.89/35.11 tff(32008,plain,
% 54.89/35.11 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB169)) | (~v88(constB169, 2)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB169)) | (~v88(constB169, 2)))),
% 54.89/35.11 inference(rewrite,[status(thm)],[])).
% 54.89/35.11 tff(32009,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB169)) | (~v88(constB169, 2)))),
% 54.89/35.11 inference(quant_inst,[status(thm)],[])).
% 54.89/35.11 tff(32010,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB169)) | (~v88(constB169, 2))),
% 54.89/35.11 inference(modus_ponens,[status(thm)],[32009, 32008])).
% 54.89/35.11 tff(32011,plain,
% 54.89/35.11 (~v141(constB169)),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[32010, 13939, 31952])).
% 54.89/35.11 tff(32012,plain,
% 54.89/35.11 (((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB169) | v170(constB169) | (~v169(constB169)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB169) | v170(constB169) | (~v169(constB169)))),
% 54.89/35.11 inference(rewrite,[status(thm)],[])).
% 54.89/35.11 tff(32013,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB169) | v170(constB169) | (~v169(constB169)))),
% 54.89/35.11 inference(quant_inst,[status(thm)],[])).
% 54.89/35.11 tff(32014,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB169) | v170(constB169) | (~v169(constB169))),
% 54.89/35.11 inference(modus_ponens,[status(thm)],[32013, 32012])).
% 54.89/35.11 tff(32015,plain,
% 54.89/35.11 (~v169(constB169)),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[32014, 13953, 32011, 32007])).
% 54.89/35.11 tff(32016,plain,
% 54.89/35.11 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB169)) | (~v165(constB169)) | v169(constB169))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB169)) | (~v165(constB169)) | v169(constB169))),
% 54.89/35.11 inference(rewrite,[status(thm)],[])).
% 54.89/35.11 tff(32017,plain,
% 54.89/35.11 (((~v165(constB169)) | v169(constB169) | (~v162(constB169))) <=> ((~v162(constB169)) | (~v165(constB169)) | v169(constB169))),
% 54.89/35.11 inference(rewrite,[status(thm)],[])).
% 54.89/35.11 tff(32018,plain,
% 54.89/35.11 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB169)) | v169(constB169) | (~v162(constB169)))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB169)) | (~v165(constB169)) | v169(constB169)))),
% 54.89/35.11 inference(monotonicity,[status(thm)],[32017])).
% 54.89/35.11 tff(32019,plain,
% 54.89/35.11 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB169)) | v169(constB169) | (~v162(constB169)))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB169)) | (~v165(constB169)) | v169(constB169))),
% 54.89/35.11 inference(transitivity,[status(thm)],[32018, 32016])).
% 54.89/35.11 tff(32020,plain,
% 54.89/35.11 ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB169)) | v169(constB169) | (~v162(constB169)))),
% 54.89/35.11 inference(quant_inst,[status(thm)],[])).
% 54.89/35.11 tff(32021,plain,
% 54.89/35.11 ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB169)) | (~v165(constB169)) | v169(constB169)),
% 54.89/35.11 inference(modus_ponens,[status(thm)],[32020, 32019])).
% 54.89/35.11 tff(32022,plain,
% 54.89/35.11 ((~v162(constB169)) | (~v165(constB169))),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[32021, 14054, 32015])).
% 54.89/35.11 tff(32023,plain,
% 54.89/35.11 (~v162(constB169)),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[32022, 31995])).
% 54.89/35.11 tff(32024,plain,
% 54.89/35.11 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB169) | (~v187(constB169)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB169) | (~v187(constB169)))),
% 54.89/35.11 inference(rewrite,[status(thm)],[])).
% 54.89/35.11 tff(32025,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB169) | (~v187(constB169)))),
% 54.89/35.11 inference(quant_inst,[status(thm)],[])).
% 54.89/35.11 tff(32026,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB169) | (~v187(constB169))),
% 54.89/35.11 inference(modus_ponens,[status(thm)],[32025, 32024])).
% 54.89/35.11 tff(32027,plain,
% 54.89/35.11 (~v187(constB169)),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[32026, 14071, 32023])).
% 54.89/35.11 tff(32028,plain,
% 54.89/35.11 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB169) | (~v185(constB169)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB169) | (~v185(constB169)))),
% 54.89/35.11 inference(rewrite,[status(thm)],[])).
% 54.89/35.11 tff(32029,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB169) | (~v185(constB169)))),
% 54.89/35.11 inference(quant_inst,[status(thm)],[])).
% 54.89/35.11 tff(32030,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB169) | (~v185(constB169))),
% 54.89/35.11 inference(modus_ponens,[status(thm)],[32029, 32028])).
% 54.89/35.11 tff(32031,plain,
% 54.89/35.11 (~v185(constB169)),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[32030, 14085, 32027])).
% 54.89/35.11 tff(32032,assumption,(v18(constB170)), introduced(assumption)).
% 54.89/35.11 tff(32033,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB170))),
% 54.89/35.11 inference(quant_inst,[status(thm)],[])).
% 54.89/35.11 tff(32034,plain,
% 54.89/35.11 ($false),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[32033, 14194, 32032])).
% 54.89/35.11 tff(32035,plain,(~v18(constB170)), inference(lemma,lemma(discharge,[]))).
% 54.89/35.11 tff(32036,plain,
% 54.89/35.11 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB170) | (~v1(constB170)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB170) | (~v1(constB170)))),
% 54.89/35.11 inference(rewrite,[status(thm)],[])).
% 54.89/35.11 tff(32037,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB170) | (~v1(constB170)))),
% 54.89/35.11 inference(quant_inst,[status(thm)],[])).
% 54.89/35.11 tff(32038,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB170) | (~v1(constB170))),
% 54.89/35.11 inference(modus_ponens,[status(thm)],[32037, 32036])).
% 54.89/35.11 tff(32039,plain,
% 54.89/35.11 (v22(constB170)),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[32038, 14207, 497])).
% 54.89/35.11 tff(32040,plain,
% 54.89/35.11 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB170) | (~v22(constB170)) | (~v19(constB170)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB170) | (~v22(constB170)) | (~v19(constB170)))),
% 54.89/35.11 inference(rewrite,[status(thm)],[])).
% 54.89/35.11 tff(32041,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB170) | (~v22(constB170)) | (~v19(constB170)))),
% 54.89/35.11 inference(quant_inst,[status(thm)],[])).
% 54.89/35.11 tff(32042,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB170) | (~v22(constB170)) | (~v19(constB170))),
% 54.89/35.11 inference(modus_ponens,[status(thm)],[32041, 32040])).
% 54.89/35.11 tff(32043,plain,
% 54.89/35.11 (v18(constB170) | (~v19(constB170))),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[32042, 14221, 32039])).
% 54.89/35.11 tff(32044,plain,
% 54.89/35.11 (~v19(constB170)),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[32043, 32035])).
% 54.89/35.11 tff(32045,plain,
% 54.89/35.11 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB170) | v19(constB170))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB170) | v19(constB170))),
% 54.89/35.11 inference(rewrite,[status(thm)],[])).
% 54.89/35.11 tff(32046,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB170) | v19(constB170))),
% 54.89/35.11 inference(quant_inst,[status(thm)],[])).
% 54.89/35.11 tff(32047,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB170) | v19(constB170)),
% 54.89/35.11 inference(modus_ponens,[status(thm)],[32046, 32045])).
% 54.89/35.11 tff(32048,plain,
% 54.89/35.11 (v13(constB170)),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[32047, 14233, 32044])).
% 54.89/35.11 tff(32049,plain,
% 54.89/35.11 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB169) | (~v13(constB170)) | (~nextState(constB169, constB170)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB169) | (~v13(constB170)) | (~nextState(constB169, constB170)))),
% 54.89/35.11 inference(rewrite,[status(thm)],[])).
% 54.89/35.11 tff(32050,plain,
% 54.89/35.11 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB169) | (~v13(constB170)) | (~nextState(constB169, constB170)))),
% 54.89/35.11 inference(quant_inst,[status(thm)],[])).
% 54.89/35.11 tff(32051,plain,
% 54.89/35.11 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB169) | (~v13(constB170)) | (~nextState(constB169, constB170))),
% 54.89/35.11 inference(modus_ponens,[status(thm)],[32050, 32049])).
% 54.89/35.11 tff(32052,plain,
% 54.89/35.11 (v9(constB169) | (~v13(constB170))),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[32051, 14247, 31711])).
% 54.89/35.11 tff(32053,plain,
% 54.89/35.11 (v9(constB169)),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[32052, 32048])).
% 54.89/35.11 tff(32054,plain,
% 54.89/35.11 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB169) | (~v9(constB169)) | v184(constB169))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB169) | (~v9(constB169)) | v184(constB169))),
% 54.89/35.11 inference(rewrite,[status(thm)],[])).
% 54.89/35.11 tff(32055,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB169) | (~v9(constB169)) | v184(constB169))),
% 54.89/35.11 inference(quant_inst,[status(thm)],[])).
% 54.89/35.11 tff(32056,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB169) | (~v9(constB169)) | v184(constB169)),
% 54.89/35.11 inference(modus_ponens,[status(thm)],[32055, 32054])).
% 54.89/35.11 tff(32057,plain,
% 54.89/35.11 ((~v9(constB169)) | v184(constB169)),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[32056, 14262, 31595])).
% 54.89/35.11 tff(32058,plain,
% 54.89/35.11 (v184(constB169)),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[32057, 32053])).
% 54.89/35.11 tff(32059,plain,
% 54.89/35.11 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB169)) | v183(constB169))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB169)) | v183(constB169))),
% 54.89/35.11 inference(rewrite,[status(thm)],[])).
% 54.89/35.11 tff(32060,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB169)) | v183(constB169))),
% 54.89/35.11 inference(quant_inst,[status(thm)],[])).
% 54.89/35.11 tff(32061,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB169)) | v183(constB169)),
% 54.89/35.11 inference(modus_ponens,[status(thm)],[32060, 32059])).
% 54.89/35.11 tff(32062,plain,
% 54.89/35.11 (v183(constB169)),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[32061, 14274, 32058])).
% 54.89/35.11 tff(32063,plain,
% 54.89/35.11 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB169)) | (~v183(constB169)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB169)) | (~v183(constB169)))),
% 54.89/35.11 inference(rewrite,[status(thm)],[])).
% 54.89/35.11 tff(32064,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB169)) | (~v183(constB169)))),
% 54.89/35.11 inference(quant_inst,[status(thm)],[])).
% 54.89/35.11 tff(32065,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB169)) | (~v183(constB169))),
% 54.89/35.11 inference(modus_ponens,[status(thm)],[32064, 32063])).
% 54.89/35.11 tff(32066,plain,
% 54.89/35.11 (~v181(constB169)),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[32065, 14288, 32062])).
% 54.89/35.11 tff(32067,plain,
% 54.89/35.11 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB169) | v185(constB169) | (~v178(constB169)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB169) | v185(constB169) | (~v178(constB169)))),
% 54.89/35.11 inference(rewrite,[status(thm)],[])).
% 54.89/35.11 tff(32068,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB169) | v185(constB169) | (~v178(constB169)))),
% 54.89/35.11 inference(quant_inst,[status(thm)],[])).
% 54.89/35.11 tff(32069,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB169) | v185(constB169) | (~v178(constB169))),
% 54.89/35.11 inference(modus_ponens,[status(thm)],[32068, 32067])).
% 54.89/35.11 tff(32070,plain,
% 54.89/35.11 (v185(constB169) | (~v178(constB169))),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[32069, 14302, 32066])).
% 54.89/35.11 tff(32071,plain,
% 54.89/35.11 (~v178(constB169)),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[32070, 32031])).
% 54.89/35.11 tff(32072,plain,
% 54.89/35.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB169, constB170)) | v178(constB169) | (~v180(constB170)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB169, constB170)) | v178(constB169) | (~v180(constB170)))),
% 54.89/35.11 inference(rewrite,[status(thm)],[])).
% 54.89/35.11 tff(32073,plain,
% 54.89/35.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB169, constB170)) | v178(constB169) | (~v180(constB170)))),
% 54.89/35.11 inference(quant_inst,[status(thm)],[])).
% 54.89/35.11 tff(32074,plain,
% 54.89/35.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB169, constB170)) | v178(constB169) | (~v180(constB170))),
% 54.89/35.11 inference(modus_ponens,[status(thm)],[32073, 32072])).
% 54.89/35.11 tff(32075,plain,
% 54.89/35.11 (v178(constB169) | (~v180(constB170))),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[32074, 14317, 31711])).
% 54.89/35.11 tff(32076,plain,
% 54.89/35.11 (~v180(constB170)),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[32075, 32071])).
% 54.89/35.11 tff(32077,plain,
% 54.89/35.11 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB170) | (~v181(constB170)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB170) | (~v181(constB170)))),
% 54.89/35.11 inference(rewrite,[status(thm)],[])).
% 54.89/35.11 tff(32078,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB170) | (~v181(constB170)))),
% 54.89/35.11 inference(quant_inst,[status(thm)],[])).
% 54.89/35.11 tff(32079,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB170) | (~v181(constB170))),
% 54.89/35.11 inference(modus_ponens,[status(thm)],[32078, 32077])).
% 54.89/35.11 tff(32080,plain,
% 54.89/35.11 (~v181(constB170)),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[32079, 14332, 32076])).
% 54.89/35.11 tff(32081,plain,
% 54.89/35.11 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB170)) | (~v184(constB170)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB170)) | (~v184(constB170)))),
% 54.89/35.11 inference(rewrite,[status(thm)],[])).
% 54.89/35.11 tff(32082,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB170)) | (~v184(constB170)))),
% 54.89/35.11 inference(quant_inst,[status(thm)],[])).
% 54.89/35.11 tff(32083,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB170)) | (~v184(constB170))),
% 54.89/35.11 inference(modus_ponens,[status(thm)],[32082, 32081])).
% 54.89/35.11 tff(32084,plain,
% 54.89/35.11 (~v184(constB170)),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[32083, 88, 497])).
% 54.89/35.11 tff(32085,plain,
% 54.89/35.11 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB170) | (~v187(constB170)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB170) | (~v187(constB170)))),
% 54.89/35.11 inference(rewrite,[status(thm)],[])).
% 54.89/35.11 tff(32086,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB170) | (~v187(constB170)))),
% 54.89/35.11 inference(quant_inst,[status(thm)],[])).
% 54.89/35.11 tff(32087,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB170) | (~v187(constB170))),
% 54.89/35.11 inference(modus_ponens,[status(thm)],[32086, 32085])).
% 54.89/35.11 tff(32088,plain,
% 54.89/35.11 (~v187(constB170)),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[32087, 14350, 32084])).
% 54.89/35.11 tff(32089,plain,
% 54.89/35.11 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB170) | (~v185(constB170)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB170) | (~v185(constB170)))),
% 54.89/35.11 inference(rewrite,[status(thm)],[])).
% 54.89/35.11 tff(32090,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB170) | (~v185(constB170)))),
% 54.89/35.11 inference(quant_inst,[status(thm)],[])).
% 54.89/35.11 tff(32091,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB170) | (~v185(constB170))),
% 54.89/35.11 inference(modus_ponens,[status(thm)],[32090, 32089])).
% 54.89/35.11 tff(32092,plain,
% 54.89/35.11 (~v185(constB170)),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[32091, 14085, 32088])).
% 54.89/35.11 tff(32093,plain,
% 54.89/35.11 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB170) | v185(constB170) | (~v178(constB170)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB170) | v185(constB170) | (~v178(constB170)))),
% 54.89/35.11 inference(rewrite,[status(thm)],[])).
% 54.89/35.11 tff(32094,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB170) | v185(constB170) | (~v178(constB170)))),
% 54.89/35.11 inference(quant_inst,[status(thm)],[])).
% 54.89/35.11 tff(32095,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB170) | v185(constB170) | (~v178(constB170))),
% 54.89/35.11 inference(modus_ponens,[status(thm)],[32094, 32093])).
% 54.89/35.11 tff(32096,plain,
% 54.89/35.11 (v181(constB170) | (~v178(constB170))),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[32095, 14302, 32092])).
% 54.89/35.11 tff(32097,plain,
% 54.89/35.11 (~v178(constB170)),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[32096, 32080])).
% 54.89/35.11 tff(32098,plain,
% 54.89/35.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB170, constB171)) | v178(constB170) | (~v180(constB171)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB170, constB171)) | v178(constB170) | (~v180(constB171)))),
% 54.89/35.11 inference(rewrite,[status(thm)],[])).
% 54.89/35.11 tff(32099,plain,
% 54.89/35.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB170, constB171)) | v178(constB170) | (~v180(constB171)))),
% 54.89/35.11 inference(quant_inst,[status(thm)],[])).
% 54.89/35.11 tff(32100,plain,
% 54.89/35.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB170, constB171)) | v178(constB170) | (~v180(constB171))),
% 54.89/35.11 inference(modus_ponens,[status(thm)],[32099, 32098])).
% 54.89/35.11 tff(32101,plain,
% 54.89/35.11 (v178(constB170) | (~v180(constB171))),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[32100, 14317, 31794])).
% 54.89/35.11 tff(32102,plain,
% 54.89/35.11 (~v180(constB171)),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[32101, 32097])).
% 54.89/35.11 tff(32103,plain,
% 54.89/35.11 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB171) | (~v181(constB171)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB171) | (~v181(constB171)))),
% 54.89/35.11 inference(rewrite,[status(thm)],[])).
% 54.89/35.11 tff(32104,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB171) | (~v181(constB171)))),
% 54.89/35.11 inference(quant_inst,[status(thm)],[])).
% 54.89/35.11 tff(32105,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB171) | (~v181(constB171))),
% 54.89/35.11 inference(modus_ponens,[status(thm)],[32104, 32103])).
% 54.89/35.11 tff(32106,plain,
% 54.89/35.11 (~v181(constB171)),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[32105, 14332, 32102])).
% 54.89/35.11 tff(32107,plain,
% 54.89/35.11 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB171) | v185(constB171) | (~v178(constB171)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB171) | v185(constB171) | (~v178(constB171)))),
% 54.89/35.11 inference(rewrite,[status(thm)],[])).
% 54.89/35.11 tff(32108,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB171) | v185(constB171) | (~v178(constB171)))),
% 54.89/35.11 inference(quant_inst,[status(thm)],[])).
% 54.89/35.11 tff(32109,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB171) | v185(constB171) | (~v178(constB171))),
% 54.89/35.11 inference(modus_ponens,[status(thm)],[32108, 32107])).
% 54.89/35.11 tff(32110,plain,
% 54.89/35.11 (v185(constB171) | (~v178(constB171))),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[32109, 14302, 32106])).
% 54.89/35.11 tff(32111,plain,
% 54.89/35.11 (~v178(constB171)),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[32110, 31944])).
% 54.89/35.11 tff(32112,plain,
% 54.89/35.11 (nextState(constB171, constB172) <=> nextState(constB171, constB172)),
% 54.89/35.11 inference(rewrite,[status(thm)],[])).
% 54.89/35.11 tff(32113,axiom,(nextState(constB171, constB172)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_171_1')).
% 54.89/35.11 tff(32114,plain,
% 54.89/35.11 (nextState(constB171, constB172)),
% 54.89/35.11 inference(modus_ponens,[status(thm)],[32113, 32112])).
% 54.89/35.11 tff(32115,plain,
% 54.89/35.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB171, constB172)) | v178(constB171) | (~v180(constB172)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB171, constB172)) | v178(constB171) | (~v180(constB172)))),
% 54.89/35.11 inference(rewrite,[status(thm)],[])).
% 54.89/35.11 tff(32116,plain,
% 54.89/35.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB171, constB172)) | v178(constB171) | (~v180(constB172)))),
% 54.89/35.11 inference(quant_inst,[status(thm)],[])).
% 54.89/35.11 tff(32117,plain,
% 54.89/35.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB171, constB172)) | v178(constB171) | (~v180(constB172))),
% 54.89/35.11 inference(modus_ponens,[status(thm)],[32116, 32115])).
% 54.89/35.11 tff(32118,plain,
% 54.89/35.11 (v178(constB171) | (~v180(constB172))),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[32117, 14317, 32114])).
% 54.89/35.11 tff(32119,plain,
% 54.89/35.11 (~v180(constB172)),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[32118, 32111])).
% 54.89/35.11 tff(32120,plain,
% 54.89/35.11 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB172) | (~v181(constB172)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB172) | (~v181(constB172)))),
% 54.89/35.11 inference(rewrite,[status(thm)],[])).
% 54.89/35.11 tff(32121,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB172) | (~v181(constB172)))),
% 54.89/35.11 inference(quant_inst,[status(thm)],[])).
% 54.89/35.11 tff(32122,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB172) | (~v181(constB172))),
% 54.89/35.11 inference(modus_ponens,[status(thm)],[32121, 32120])).
% 54.89/35.11 tff(32123,plain,
% 54.89/35.11 (~v181(constB172)),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[32122, 14332, 32119])).
% 54.89/35.11 tff(32124,plain,
% 54.89/35.11 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB172)) | (~v184(constB172)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB172)) | (~v184(constB172)))),
% 54.89/35.11 inference(rewrite,[status(thm)],[])).
% 54.89/35.11 tff(32125,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB172)) | (~v184(constB172)))),
% 54.89/35.11 inference(quant_inst,[status(thm)],[])).
% 54.89/35.11 tff(32126,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB172)) | (~v184(constB172))),
% 54.89/35.11 inference(modus_ponens,[status(thm)],[32125, 32124])).
% 54.89/35.11 tff(32127,plain,
% 54.89/35.11 (~v184(constB172)),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[32126, 88, 189])).
% 54.89/35.11 tff(32128,plain,
% 54.89/35.11 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB172) | (~v187(constB172)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB172) | (~v187(constB172)))),
% 54.89/35.11 inference(rewrite,[status(thm)],[])).
% 54.89/35.11 tff(32129,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB172) | (~v187(constB172)))),
% 54.89/35.11 inference(quant_inst,[status(thm)],[])).
% 54.89/35.11 tff(32130,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB172) | (~v187(constB172))),
% 54.89/35.11 inference(modus_ponens,[status(thm)],[32129, 32128])).
% 54.89/35.11 tff(32131,plain,
% 54.89/35.11 (~v187(constB172)),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[32130, 14350, 32127])).
% 54.89/35.11 tff(32132,plain,
% 54.89/35.11 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB172) | (~v185(constB172)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB172) | (~v185(constB172)))),
% 54.89/35.11 inference(rewrite,[status(thm)],[])).
% 54.89/35.11 tff(32133,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB172) | (~v185(constB172)))),
% 54.89/35.11 inference(quant_inst,[status(thm)],[])).
% 54.89/35.11 tff(32134,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB172) | (~v185(constB172))),
% 54.89/35.11 inference(modus_ponens,[status(thm)],[32133, 32132])).
% 54.89/35.11 tff(32135,plain,
% 54.89/35.11 (~v185(constB172)),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[32134, 14085, 32131])).
% 54.89/35.11 tff(32136,plain,
% 54.89/35.11 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB172) | v185(constB172) | (~v178(constB172)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB172) | v185(constB172) | (~v178(constB172)))),
% 54.89/35.11 inference(rewrite,[status(thm)],[])).
% 54.89/35.11 tff(32137,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB172) | v185(constB172) | (~v178(constB172)))),
% 54.89/35.11 inference(quant_inst,[status(thm)],[])).
% 54.89/35.11 tff(32138,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB172) | v185(constB172) | (~v178(constB172))),
% 54.89/35.11 inference(modus_ponens,[status(thm)],[32137, 32136])).
% 54.89/35.11 tff(32139,plain,
% 54.89/35.11 (v181(constB172) | (~v178(constB172))),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[32138, 14302, 32135])).
% 54.89/35.11 tff(32140,plain,
% 54.89/35.11 (~v178(constB172)),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[32139, 32123])).
% 54.89/35.11 tff(32141,plain,
% 54.89/35.11 (nextState(constB172, constB173) <=> nextState(constB172, constB173)),
% 54.89/35.11 inference(rewrite,[status(thm)],[])).
% 54.89/35.11 tff(32142,axiom,(nextState(constB172, constB173)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_172_1')).
% 54.89/35.11 tff(32143,plain,
% 54.89/35.11 (nextState(constB172, constB173)),
% 54.89/35.11 inference(modus_ponens,[status(thm)],[32142, 32141])).
% 54.89/35.11 tff(32144,plain,
% 54.89/35.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB172, constB173)) | v178(constB172) | (~v180(constB173)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB172, constB173)) | v178(constB172) | (~v180(constB173)))),
% 54.89/35.11 inference(rewrite,[status(thm)],[])).
% 54.89/35.11 tff(32145,plain,
% 54.89/35.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB172, constB173)) | v178(constB172) | (~v180(constB173)))),
% 54.89/35.11 inference(quant_inst,[status(thm)],[])).
% 54.89/35.11 tff(32146,plain,
% 54.89/35.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB172, constB173)) | v178(constB172) | (~v180(constB173))),
% 54.89/35.11 inference(modus_ponens,[status(thm)],[32145, 32144])).
% 54.89/35.11 tff(32147,plain,
% 54.89/35.11 (v178(constB172) | (~v180(constB173))),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[32146, 14317, 32143])).
% 54.89/35.11 tff(32148,plain,
% 54.89/35.11 (~v180(constB173)),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[32147, 32140])).
% 54.89/35.11 tff(32149,plain,
% 54.89/35.11 ($false),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[32148, 25655])).
% 54.89/35.11 tff(32150,plain,((~(constB173 = sK_VarCurr)) | (~v180(sK_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 54.89/35.11 tff(32151,plain,
% 54.89/35.11 (~(constB173 = sK_VarCurr)),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[32150, 815])).
% 54.89/35.11 tff(32152,assumption,(constB5 = sK_VarCurr), introduced(assumption)).
% 54.89/35.11 tff(32153,plain,
% 54.89/35.11 (v180(constB5) <=> v180(sK_VarCurr)),
% 54.89/35.11 inference(monotonicity,[status(thm)],[32152])).
% 54.89/35.11 tff(32154,plain,
% 54.89/35.11 (v180(sK_VarCurr) <=> v180(constB5)),
% 54.89/35.11 inference(symmetry,[status(thm)],[32153])).
% 54.89/35.11 tff(32155,plain,
% 54.89/35.11 (v180(constB5)),
% 54.89/35.11 inference(modus_ponens,[status(thm)],[819, 32154])).
% 54.89/35.11 tff(32156,plain,
% 54.89/35.11 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB3, 2)) | v90(constB3, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB3, 2)) | v90(constB3, 2))),
% 54.89/35.11 inference(rewrite,[status(thm)],[])).
% 54.89/35.11 tff(32157,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB3, 2)) | v90(constB3, 2))),
% 54.89/35.11 inference(quant_inst,[status(thm)],[])).
% 54.89/35.11 tff(32158,plain,
% 54.89/35.11 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB3, 2)) | v90(constB3, 2)),
% 54.89/35.11 inference(modus_ponens,[status(thm)],[32157, 32156])).
% 54.89/35.11 tff(32159,plain,
% 54.89/35.11 (~v88(constB3, 2)),
% 54.89/35.11 inference(unit_resolution,[status(thm)],[32158, 24881, 1255])).
% 54.89/35.11 tff(32160,plain,
% 54.89/35.11 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB3, 1)) | v90(constB3, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB3, 1)) | v90(constB3, 1))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32161,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB3, 1)) | v90(constB3, 1))),
% 54.89/35.12 inference(quant_inst,[status(thm)],[])).
% 54.89/35.12 tff(32162,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB3, 1)) | v90(constB3, 1)),
% 54.89/35.12 inference(modus_ponens,[status(thm)],[32161, 32160])).
% 54.89/35.12 tff(32163,plain,
% 54.89/35.12 (~v88(constB3, 1)),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32162, 13998, 1326])).
% 54.89/35.12 tff(32164,plain,
% 54.89/35.12 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB3, 0)) | v88(constB3, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB3, 0)) | v88(constB3, 0))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32165,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB3, 0)) | v88(constB3, 0))),
% 54.89/35.12 inference(quant_inst,[status(thm)],[])).
% 54.89/35.12 tff(32166,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB3, 0)) | v88(constB3, 0)),
% 54.89/35.12 inference(modus_ponens,[status(thm)],[32165, 32164])).
% 54.89/35.12 tff(32167,plain,
% 54.89/35.12 (v88(constB3, 0)),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32166, 13903, 1404])).
% 54.89/35.12 tff(32168,plain,
% 54.89/35.12 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | ((~v88(constB3, 0)) | v88(constB3, 1) | v88(constB3, 2) | v140(constB3))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (~v88(constB3, 0)) | v88(constB3, 1) | v88(constB3, 2) | v140(constB3))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32169,plain,
% 54.89/35.12 ((v88(constB3, 2) | v88(constB3, 1) | (~v88(constB3, 0)) | v140(constB3)) <=> ((~v88(constB3, 0)) | v88(constB3, 1) | v88(constB3, 2) | v140(constB3))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32170,plain,
% 54.89/35.12 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB3, 2) | v88(constB3, 1) | (~v88(constB3, 0)) | v140(constB3))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | ((~v88(constB3, 0)) | v88(constB3, 1) | v88(constB3, 2) | v140(constB3)))),
% 54.89/35.12 inference(monotonicity,[status(thm)],[32169])).
% 54.89/35.12 tff(32171,plain,
% 54.89/35.12 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB3, 2) | v88(constB3, 1) | (~v88(constB3, 0)) | v140(constB3))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (~v88(constB3, 0)) | v88(constB3, 1) | v88(constB3, 2) | v140(constB3))),
% 54.89/35.12 inference(transitivity,[status(thm)],[32170, 32168])).
% 54.89/35.12 tff(32172,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB3, 2) | v88(constB3, 1) | (~v88(constB3, 0)) | v140(constB3))),
% 54.89/35.12 inference(quant_inst,[status(thm)],[])).
% 54.89/35.12 tff(32173,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (~v88(constB3, 0)) | v88(constB3, 1) | v88(constB3, 2) | v140(constB3)),
% 54.89/35.12 inference(modus_ponens,[status(thm)],[32172, 32171])).
% 54.89/35.12 tff(32174,plain,
% 54.89/35.12 (v140(constB3)),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32173, 25313, 32167, 32163, 32159])).
% 54.89/35.12 tff(32175,plain,
% 54.89/35.12 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v170(VarCurr))) | ((~v140(constB3)) | v170(constB3))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v170(VarCurr))) | (~v140(constB3)) | v170(constB3))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32176,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v170(VarCurr))) | ((~v140(constB3)) | v170(constB3))),
% 54.89/35.12 inference(quant_inst,[status(thm)],[])).
% 54.89/35.12 tff(32177,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v170(VarCurr))) | (~v140(constB3)) | v170(constB3)),
% 54.89/35.12 inference(modus_ponens,[status(thm)],[32176, 32175])).
% 54.89/35.12 tff(32178,plain,
% 54.89/35.12 (v170(constB3)),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32177, 25327, 32174])).
% 54.89/35.12 tff(32179,plain,
% 54.89/35.12 (((~![VarCurr: state_type] : (v167(VarCurr) | (~v170(VarCurr)))) | (v167(constB3) | (~v170(constB3)))) <=> ((~![VarCurr: state_type] : (v167(VarCurr) | (~v170(VarCurr)))) | v167(constB3) | (~v170(constB3)))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32180,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : (v167(VarCurr) | (~v170(VarCurr)))) | (v167(constB3) | (~v170(constB3)))),
% 54.89/35.12 inference(quant_inst,[status(thm)],[])).
% 54.89/35.12 tff(32181,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : (v167(VarCurr) | (~v170(VarCurr)))) | v167(constB3) | (~v170(constB3))),
% 54.89/35.12 inference(modus_ponens,[status(thm)],[32180, 32179])).
% 54.89/35.12 tff(32182,plain,
% 54.89/35.12 (v167(constB3)),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32181, 25341, 32178])).
% 54.89/35.12 tff(32183,plain,
% 54.89/35.12 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB3) | (~v167(constB3)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB3) | (~v167(constB3)))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32184,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB3) | (~v167(constB3)))),
% 54.89/35.12 inference(quant_inst,[status(thm)],[])).
% 54.89/35.12 tff(32185,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB3) | (~v167(constB3))),
% 54.89/35.12 inference(modus_ponens,[status(thm)],[32184, 32183])).
% 54.89/35.12 tff(32186,plain,
% 54.89/35.12 (v166(constB3)),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32185, 25355, 32182])).
% 54.89/35.12 tff(32187,plain,
% 54.89/35.12 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (v165(constB3) | (~v166(constB3)))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB3) | (~v166(constB3)))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32188,plain,
% 54.89/35.12 (((~v166(constB3)) | v165(constB3)) <=> (v165(constB3) | (~v166(constB3)))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32189,plain,
% 54.89/35.12 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB3)) | v165(constB3))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (v165(constB3) | (~v166(constB3))))),
% 54.89/35.12 inference(monotonicity,[status(thm)],[32188])).
% 54.89/35.12 tff(32190,plain,
% 54.89/35.12 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB3)) | v165(constB3))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB3) | (~v166(constB3)))),
% 54.89/35.12 inference(transitivity,[status(thm)],[32189, 32187])).
% 54.89/35.12 tff(32191,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB3)) | v165(constB3))),
% 54.89/35.12 inference(quant_inst,[status(thm)],[])).
% 54.89/35.12 tff(32192,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB3) | (~v166(constB3))),
% 54.89/35.12 inference(modus_ponens,[status(thm)],[32191, 32190])).
% 54.89/35.12 tff(32193,plain,
% 54.89/35.12 (v165(constB3)),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32192, 24989, 32186])).
% 54.89/35.12 tff(32194,plain,
% 54.89/35.12 (((~![VarCurr: state_type] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | ((~v169(constB3)) | (~v170(constB3)))) <=> ((~![VarCurr: state_type] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | (~v169(constB3)) | (~v170(constB3)))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32195,plain,
% 54.89/35.12 (((~v170(constB3)) | (~v169(constB3))) <=> ((~v169(constB3)) | (~v170(constB3)))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32196,plain,
% 54.89/35.12 (((~![VarCurr: state_type] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | ((~v170(constB3)) | (~v169(constB3)))) <=> ((~![VarCurr: state_type] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | ((~v169(constB3)) | (~v170(constB3))))),
% 54.89/35.12 inference(monotonicity,[status(thm)],[32195])).
% 54.89/35.12 tff(32197,plain,
% 54.89/35.12 (((~![VarCurr: state_type] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | ((~v170(constB3)) | (~v169(constB3)))) <=> ((~![VarCurr: state_type] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | (~v169(constB3)) | (~v170(constB3)))),
% 54.89/35.12 inference(transitivity,[status(thm)],[32196, 32194])).
% 54.89/35.12 tff(32198,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | ((~v170(constB3)) | (~v169(constB3)))),
% 54.89/35.12 inference(quant_inst,[status(thm)],[])).
% 54.89/35.12 tff(32199,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | (~v169(constB3)) | (~v170(constB3))),
% 54.89/35.12 inference(modus_ponens,[status(thm)],[32198, 32197])).
% 54.89/35.12 tff(32200,plain,
% 54.89/35.12 (~v169(constB3)),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32199, 25373, 32178])).
% 54.89/35.12 tff(32201,plain,
% 54.89/35.12 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB3)) | (~v165(constB3)) | v169(constB3))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB3)) | (~v165(constB3)) | v169(constB3))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32202,plain,
% 54.89/35.12 (((~v165(constB3)) | v169(constB3) | (~v162(constB3))) <=> ((~v162(constB3)) | (~v165(constB3)) | v169(constB3))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32203,plain,
% 54.89/35.12 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB3)) | v169(constB3) | (~v162(constB3)))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB3)) | (~v165(constB3)) | v169(constB3)))),
% 54.89/35.12 inference(monotonicity,[status(thm)],[32202])).
% 54.89/35.12 tff(32204,plain,
% 54.89/35.12 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB3)) | v169(constB3) | (~v162(constB3)))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB3)) | (~v165(constB3)) | v169(constB3))),
% 54.89/35.12 inference(transitivity,[status(thm)],[32203, 32201])).
% 54.89/35.12 tff(32205,plain,
% 54.89/35.12 ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB3)) | v169(constB3) | (~v162(constB3)))),
% 54.89/35.12 inference(quant_inst,[status(thm)],[])).
% 54.89/35.12 tff(32206,plain,
% 54.89/35.12 ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB3)) | (~v165(constB3)) | v169(constB3)),
% 54.89/35.12 inference(modus_ponens,[status(thm)],[32205, 32204])).
% 54.89/35.12 tff(32207,plain,
% 54.89/35.12 ((~v162(constB3)) | (~v165(constB3))),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32206, 14054, 32200])).
% 54.89/35.12 tff(32208,plain,
% 54.89/35.12 (~v162(constB3)),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32207, 32193])).
% 54.89/35.12 tff(32209,plain,
% 54.89/35.12 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB3) | (~v187(constB3)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB3) | (~v187(constB3)))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32210,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB3) | (~v187(constB3)))),
% 54.89/35.12 inference(quant_inst,[status(thm)],[])).
% 54.89/35.12 tff(32211,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB3) | (~v187(constB3))),
% 54.89/35.12 inference(modus_ponens,[status(thm)],[32210, 32209])).
% 54.89/35.12 tff(32212,plain,
% 54.89/35.12 (~v187(constB3)),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32211, 14071, 32208])).
% 54.89/35.12 tff(32213,plain,
% 54.89/35.12 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB3) | (~v185(constB3)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB3) | (~v185(constB3)))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32214,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB3) | (~v185(constB3)))),
% 54.89/35.12 inference(quant_inst,[status(thm)],[])).
% 54.89/35.12 tff(32215,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB3) | (~v185(constB3))),
% 54.89/35.12 inference(modus_ponens,[status(thm)],[32214, 32213])).
% 54.89/35.12 tff(32216,plain,
% 54.89/35.12 (~v185(constB3)),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32215, 14085, 32212])).
% 54.89/35.12 tff(32217,plain,
% 54.89/35.12 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB1, 2)) | v90(constB1, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB1, 2)) | v90(constB1, 2))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32218,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB1, 2)) | v90(constB1, 2))),
% 54.89/35.12 inference(quant_inst,[status(thm)],[])).
% 54.89/35.12 tff(32219,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB1, 2)) | v90(constB1, 2)),
% 54.89/35.12 inference(modus_ponens,[status(thm)],[32218, 32217])).
% 54.89/35.12 tff(32220,plain,
% 54.89/35.12 (~v88(constB1, 2)),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32219, 24881, 916])).
% 54.89/35.12 tff(32221,plain,
% 54.89/35.12 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB1, 1)) | v90(constB1, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB1, 1)) | v90(constB1, 1))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32222,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB1, 1)) | v90(constB1, 1))),
% 54.89/35.12 inference(quant_inst,[status(thm)],[])).
% 54.89/35.12 tff(32223,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB1, 1)) | v90(constB1, 1)),
% 54.89/35.12 inference(modus_ponens,[status(thm)],[32222, 32221])).
% 54.89/35.12 tff(32224,plain,
% 54.89/35.12 (~v88(constB1, 1)),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32223, 13998, 937])).
% 54.89/35.12 tff(32225,plain,
% 54.89/35.12 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB1, 0)) | v90(constB1, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB1, 0)) | v90(constB1, 0))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32226,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB1, 0)) | v90(constB1, 0))),
% 54.89/35.12 inference(quant_inst,[status(thm)],[])).
% 54.89/35.12 tff(32227,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB1, 0)) | v90(constB1, 0)),
% 54.89/35.12 inference(modus_ponens,[status(thm)],[32226, 32225])).
% 54.89/35.12 tff(32228,plain,
% 54.89/35.12 (~v88(constB1, 0)),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32227, 14132, 958])).
% 54.89/35.12 tff(32229,plain,
% 54.89/35.12 (^[VarCurr: state_type] : refl((v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr)) <=> (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr)))),
% 54.89/35.12 inference(bind,[status(th)],[])).
% 54.89/35.12 tff(32230,plain,
% 54.89/35.12 (![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))),
% 54.89/35.12 inference(quant_intro,[status(thm)],[32229])).
% 54.89/35.12 tff(32231,plain,
% 54.89/35.12 (![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32232,plain,
% 54.89/35.12 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v88(VarCurr, 0) | v88(VarCurr, 1)) | v88(VarCurr, 2)) <=> (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0))), ((((v88(VarCurr, 0) | v88(VarCurr, 1)) | v88(VarCurr, 2)) | v139(VarCurr)) <=> ((v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0)) | v139(VarCurr)))), rewrite(((v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0)) | v139(VarCurr)) <=> (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))), ((((v88(VarCurr, 0) | v88(VarCurr, 1)) | v88(VarCurr, 2)) | v139(VarCurr)) <=> (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))))),
% 54.89/35.12 inference(bind,[status(th)],[])).
% 54.89/35.12 tff(32233,plain,
% 54.89/35.12 (![VarCurr: state_type] : (((v88(VarCurr, 0) | v88(VarCurr, 1)) | v88(VarCurr, 2)) | v139(VarCurr)) <=> ![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))),
% 54.89/35.12 inference(quant_intro,[status(thm)],[32232])).
% 54.89/35.12 tff(32234,axiom,(![VarCurr: state_type] : (((v88(VarCurr, 0) | v88(VarCurr, 1)) | v88(VarCurr, 2)) | v139(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9_1_1_1')).
% 54.89/35.12 tff(32235,plain,
% 54.89/35.12 (![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))),
% 54.89/35.12 inference(modus_ponens,[status(thm)],[32234, 32233])).
% 54.89/35.12 tff(32236,plain,
% 54.89/35.12 (![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))),
% 54.89/35.12 inference(modus_ponens,[status(thm)],[32235, 32231])).
% 54.89/35.12 tff(32237,plain,(
% 54.89/35.12 ![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))),
% 54.89/35.12 inference(skolemize,[status(sab)],[32236])).
% 54.89/35.12 tff(32238,plain,
% 54.89/35.12 (![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))),
% 54.89/35.12 inference(modus_ponens,[status(thm)],[32237, 32230])).
% 54.89/35.12 tff(32239,plain,
% 54.89/35.12 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))) | (v88(constB1, 0) | v88(constB1, 1) | v88(constB1, 2) | v139(constB1))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))) | v88(constB1, 0) | v88(constB1, 1) | v88(constB1, 2) | v139(constB1))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32240,plain,
% 54.89/35.12 ((v88(constB1, 2) | v88(constB1, 1) | v88(constB1, 0) | v139(constB1)) <=> (v88(constB1, 0) | v88(constB1, 1) | v88(constB1, 2) | v139(constB1))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32241,plain,
% 54.89/35.12 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))) | (v88(constB1, 2) | v88(constB1, 1) | v88(constB1, 0) | v139(constB1))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))) | (v88(constB1, 0) | v88(constB1, 1) | v88(constB1, 2) | v139(constB1)))),
% 54.89/35.12 inference(monotonicity,[status(thm)],[32240])).
% 54.89/35.12 tff(32242,plain,
% 54.89/35.12 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))) | (v88(constB1, 2) | v88(constB1, 1) | v88(constB1, 0) | v139(constB1))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))) | v88(constB1, 0) | v88(constB1, 1) | v88(constB1, 2) | v139(constB1))),
% 54.89/35.12 inference(transitivity,[status(thm)],[32241, 32239])).
% 54.89/35.12 tff(32243,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))) | (v88(constB1, 2) | v88(constB1, 1) | v88(constB1, 0) | v139(constB1))),
% 54.89/35.12 inference(quant_inst,[status(thm)],[])).
% 54.89/35.12 tff(32244,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | v88(VarCurr, 0) | v139(VarCurr))) | v88(constB1, 0) | v88(constB1, 1) | v88(constB1, 2) | v139(constB1)),
% 54.89/35.12 inference(modus_ponens,[status(thm)],[32243, 32242])).
% 54.89/35.12 tff(32245,plain,
% 54.89/35.12 (v139(constB1)),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32244, 32238, 32228, 32224, 32220])).
% 54.89/35.12 tff(32246,plain,
% 54.89/35.12 (^[VarCurr: state_type] : refl(((~v139(VarCurr)) | v170(VarCurr)) <=> ((~v139(VarCurr)) | v170(VarCurr)))),
% 54.89/35.12 inference(bind,[status(th)],[])).
% 54.89/35.12 tff(32247,plain,
% 54.89/35.12 (![VarCurr: state_type] : ((~v139(VarCurr)) | v170(VarCurr)) <=> ![VarCurr: state_type] : ((~v139(VarCurr)) | v170(VarCurr))),
% 54.89/35.12 inference(quant_intro,[status(thm)],[32246])).
% 54.89/35.12 tff(32248,plain,
% 54.89/35.12 (![VarCurr: state_type] : ((~v139(VarCurr)) | v170(VarCurr)) <=> ![VarCurr: state_type] : ((~v139(VarCurr)) | v170(VarCurr))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32249,axiom,(![VarCurr: state_type] : ((~v139(VarCurr)) | v170(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_41_1_2')).
% 54.89/35.12 tff(32250,plain,
% 54.89/35.12 (![VarCurr: state_type] : ((~v139(VarCurr)) | v170(VarCurr))),
% 54.89/35.12 inference(modus_ponens,[status(thm)],[32249, 32248])).
% 54.89/35.12 tff(32251,plain,(
% 54.89/35.12 ![VarCurr: state_type] : ((~v139(VarCurr)) | v170(VarCurr))),
% 54.89/35.12 inference(skolemize,[status(sab)],[32250])).
% 54.89/35.12 tff(32252,plain,
% 54.89/35.12 (![VarCurr: state_type] : ((~v139(VarCurr)) | v170(VarCurr))),
% 54.89/35.12 inference(modus_ponens,[status(thm)],[32251, 32247])).
% 54.89/35.12 tff(32253,plain,
% 54.89/35.12 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | v170(VarCurr))) | (v170(constB1) | (~v139(constB1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | v170(VarCurr))) | v170(constB1) | (~v139(constB1)))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32254,plain,
% 54.89/35.12 (((~v139(constB1)) | v170(constB1)) <=> (v170(constB1) | (~v139(constB1)))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32255,plain,
% 54.89/35.12 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | v170(VarCurr))) | ((~v139(constB1)) | v170(constB1))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | v170(VarCurr))) | (v170(constB1) | (~v139(constB1))))),
% 54.89/35.12 inference(monotonicity,[status(thm)],[32254])).
% 54.89/35.12 tff(32256,plain,
% 54.89/35.12 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | v170(VarCurr))) | ((~v139(constB1)) | v170(constB1))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | v170(VarCurr))) | v170(constB1) | (~v139(constB1)))),
% 54.89/35.12 inference(transitivity,[status(thm)],[32255, 32253])).
% 54.89/35.12 tff(32257,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | v170(VarCurr))) | ((~v139(constB1)) | v170(constB1))),
% 54.89/35.12 inference(quant_inst,[status(thm)],[])).
% 54.89/35.12 tff(32258,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | v170(VarCurr))) | v170(constB1) | (~v139(constB1))),
% 54.89/35.12 inference(modus_ponens,[status(thm)],[32257, 32256])).
% 54.89/35.12 tff(32259,plain,
% 54.89/35.12 (v170(constB1)),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32258, 32252, 32245])).
% 54.89/35.12 tff(32260,plain,
% 54.89/35.12 (((~![VarCurr: state_type] : (v167(VarCurr) | (~v170(VarCurr)))) | (v167(constB1) | (~v170(constB1)))) <=> ((~![VarCurr: state_type] : (v167(VarCurr) | (~v170(VarCurr)))) | v167(constB1) | (~v170(constB1)))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32261,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : (v167(VarCurr) | (~v170(VarCurr)))) | (v167(constB1) | (~v170(constB1)))),
% 54.89/35.12 inference(quant_inst,[status(thm)],[])).
% 54.89/35.12 tff(32262,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : (v167(VarCurr) | (~v170(VarCurr)))) | v167(constB1) | (~v170(constB1))),
% 54.89/35.12 inference(modus_ponens,[status(thm)],[32261, 32260])).
% 54.89/35.12 tff(32263,plain,
% 54.89/35.12 (v167(constB1)),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32262, 25341, 32259])).
% 54.89/35.12 tff(32264,plain,
% 54.89/35.12 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB1) | (~v167(constB1)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB1) | (~v167(constB1)))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32265,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB1) | (~v167(constB1)))),
% 54.89/35.12 inference(quant_inst,[status(thm)],[])).
% 54.89/35.12 tff(32266,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB1) | (~v167(constB1))),
% 54.89/35.12 inference(modus_ponens,[status(thm)],[32265, 32264])).
% 54.89/35.12 tff(32267,plain,
% 54.89/35.12 (v166(constB1)),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32266, 25355, 32263])).
% 54.89/35.12 tff(32268,plain,
% 54.89/35.12 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (v165(constB1) | (~v166(constB1)))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB1) | (~v166(constB1)))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32269,plain,
% 54.89/35.12 (((~v166(constB1)) | v165(constB1)) <=> (v165(constB1) | (~v166(constB1)))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32270,plain,
% 54.89/35.12 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB1)) | v165(constB1))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (v165(constB1) | (~v166(constB1))))),
% 54.89/35.12 inference(monotonicity,[status(thm)],[32269])).
% 54.89/35.12 tff(32271,plain,
% 54.89/35.12 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB1)) | v165(constB1))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB1) | (~v166(constB1)))),
% 54.89/35.12 inference(transitivity,[status(thm)],[32270, 32268])).
% 54.89/35.12 tff(32272,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB1)) | v165(constB1))),
% 54.89/35.12 inference(quant_inst,[status(thm)],[])).
% 54.89/35.12 tff(32273,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB1) | (~v166(constB1))),
% 54.89/35.12 inference(modus_ponens,[status(thm)],[32272, 32271])).
% 54.89/35.12 tff(32274,plain,
% 54.89/35.12 (v165(constB1)),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32273, 24989, 32267])).
% 54.89/35.12 tff(32275,plain,
% 54.89/35.12 (((~![VarCurr: state_type] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | ((~v169(constB1)) | (~v170(constB1)))) <=> ((~![VarCurr: state_type] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | (~v169(constB1)) | (~v170(constB1)))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32276,plain,
% 54.89/35.12 (((~v170(constB1)) | (~v169(constB1))) <=> ((~v169(constB1)) | (~v170(constB1)))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32277,plain,
% 54.89/35.12 (((~![VarCurr: state_type] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | ((~v170(constB1)) | (~v169(constB1)))) <=> ((~![VarCurr: state_type] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | ((~v169(constB1)) | (~v170(constB1))))),
% 54.89/35.12 inference(monotonicity,[status(thm)],[32276])).
% 54.89/35.12 tff(32278,plain,
% 54.89/35.12 (((~![VarCurr: state_type] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | ((~v170(constB1)) | (~v169(constB1)))) <=> ((~![VarCurr: state_type] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | (~v169(constB1)) | (~v170(constB1)))),
% 54.89/35.12 inference(transitivity,[status(thm)],[32277, 32275])).
% 54.89/35.12 tff(32279,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | ((~v170(constB1)) | (~v169(constB1)))),
% 54.89/35.12 inference(quant_inst,[status(thm)],[])).
% 54.89/35.12 tff(32280,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | (~v169(constB1)) | (~v170(constB1))),
% 54.89/35.12 inference(modus_ponens,[status(thm)],[32279, 32278])).
% 54.89/35.12 tff(32281,plain,
% 54.89/35.12 (~v169(constB1)),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32280, 25373, 32259])).
% 54.89/35.12 tff(32282,plain,
% 54.89/35.12 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB1)) | v169(constB1) | (~v165(constB1)))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB1)) | v169(constB1) | (~v165(constB1)))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32283,plain,
% 54.89/35.12 (((~v165(constB1)) | v169(constB1) | (~v162(constB1))) <=> ((~v162(constB1)) | v169(constB1) | (~v165(constB1)))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32284,plain,
% 54.89/35.12 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB1)) | v169(constB1) | (~v162(constB1)))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB1)) | v169(constB1) | (~v165(constB1))))),
% 54.89/35.12 inference(monotonicity,[status(thm)],[32283])).
% 54.89/35.12 tff(32285,plain,
% 54.89/35.12 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB1)) | v169(constB1) | (~v162(constB1)))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB1)) | v169(constB1) | (~v165(constB1)))),
% 54.89/35.12 inference(transitivity,[status(thm)],[32284, 32282])).
% 54.89/35.12 tff(32286,plain,
% 54.89/35.12 ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB1)) | v169(constB1) | (~v162(constB1)))),
% 54.89/35.12 inference(quant_inst,[status(thm)],[])).
% 54.89/35.12 tff(32287,plain,
% 54.89/35.12 ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB1)) | v169(constB1) | (~v165(constB1))),
% 54.89/35.12 inference(modus_ponens,[status(thm)],[32286, 32285])).
% 54.89/35.12 tff(32288,plain,
% 54.89/35.12 ((~v162(constB1)) | (~v165(constB1))),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32287, 14054, 32281])).
% 54.89/35.12 tff(32289,plain,
% 54.89/35.12 (~v162(constB1)),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32288, 32274])).
% 54.89/35.12 tff(32290,plain,
% 54.89/35.12 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB1) | (~v187(constB1)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB1) | (~v187(constB1)))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32291,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB1) | (~v187(constB1)))),
% 54.89/35.12 inference(quant_inst,[status(thm)],[])).
% 54.89/35.12 tff(32292,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB1) | (~v187(constB1))),
% 54.89/35.12 inference(modus_ponens,[status(thm)],[32291, 32290])).
% 54.89/35.12 tff(32293,plain,
% 54.89/35.12 (~v187(constB1)),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32292, 14071, 32289])).
% 54.89/35.12 tff(32294,plain,
% 54.89/35.12 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB1) | (~v185(constB1)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB1) | (~v185(constB1)))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32295,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB1) | (~v185(constB1)))),
% 54.89/35.12 inference(quant_inst,[status(thm)],[])).
% 54.89/35.12 tff(32296,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB1) | (~v185(constB1))),
% 54.89/35.12 inference(modus_ponens,[status(thm)],[32295, 32294])).
% 54.89/35.12 tff(32297,plain,
% 54.89/35.12 (~v185(constB1)),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32296, 14085, 32293])).
% 54.89/35.12 tff(32298,plain,
% 54.89/35.12 ((~v162(constB0)) <=> (~v162(constB0))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32299,axiom,(~v162(constB0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_6_1_1')).
% 54.89/35.12 tff(32300,plain,
% 54.89/35.12 (~v162(constB0)),
% 54.89/35.12 inference(modus_ponens,[status(thm)],[32299, 32298])).
% 54.89/35.12 tff(32301,plain,
% 54.89/35.12 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB0) | (~v187(constB0)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB0) | (~v187(constB0)))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32302,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB0) | (~v187(constB0)))),
% 54.89/35.12 inference(quant_inst,[status(thm)],[])).
% 54.89/35.12 tff(32303,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB0) | (~v187(constB0))),
% 54.89/35.12 inference(modus_ponens,[status(thm)],[32302, 32301])).
% 54.89/35.12 tff(32304,plain,
% 54.89/35.12 (~v187(constB0)),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32303, 32300, 14071])).
% 54.89/35.12 tff(32305,plain,
% 54.89/35.12 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB0) | (~v185(constB0)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB0) | (~v185(constB0)))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32306,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB0) | (~v185(constB0)))),
% 54.89/35.12 inference(quant_inst,[status(thm)],[])).
% 54.89/35.12 tff(32307,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB0) | (~v185(constB0))),
% 54.89/35.12 inference(modus_ponens,[status(thm)],[32306, 32305])).
% 54.89/35.12 tff(32308,plain,
% 54.89/35.12 (~v185(constB0)),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32307, 14085, 32304])).
% 54.89/35.12 tff(32309,plain,
% 54.89/35.12 ((~v180(constB0)) <=> (~v180(constB0))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32310,axiom,(~v180(constB0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_7_1_1_1')).
% 54.89/35.12 tff(32311,plain,
% 54.89/35.12 (~v180(constB0)),
% 54.89/35.12 inference(modus_ponens,[status(thm)],[32310, 32309])).
% 54.89/35.12 tff(32312,plain,
% 54.89/35.12 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB0) | (~v181(constB0)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB0) | (~v181(constB0)))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32313,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB0) | (~v181(constB0)))),
% 54.89/35.12 inference(quant_inst,[status(thm)],[])).
% 54.89/35.12 tff(32314,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB0) | (~v181(constB0))),
% 54.89/35.12 inference(modus_ponens,[status(thm)],[32313, 32312])).
% 54.89/35.12 tff(32315,plain,
% 54.89/35.12 (~v181(constB0)),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32314, 32311, 14332])).
% 54.89/35.12 tff(32316,plain,
% 54.89/35.12 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB0) | v185(constB0) | (~v178(constB0)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB0) | v185(constB0) | (~v178(constB0)))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32317,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB0) | v185(constB0) | (~v178(constB0)))),
% 54.89/35.12 inference(quant_inst,[status(thm)],[])).
% 54.89/35.12 tff(32318,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB0) | v185(constB0) | (~v178(constB0))),
% 54.89/35.12 inference(modus_ponens,[status(thm)],[32317, 32316])).
% 54.89/35.12 tff(32319,plain,
% 54.89/35.12 (~v178(constB0)),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32318, 14302, 32315, 32308])).
% 54.89/35.12 tff(32320,plain,
% 54.89/35.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB0, constB1)) | v178(constB0) | (~v180(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB0, constB1)) | v178(constB0) | (~v180(constB1)))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32321,plain,
% 54.89/35.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB0, constB1)) | v178(constB0) | (~v180(constB1)))),
% 54.89/35.12 inference(quant_inst,[status(thm)],[])).
% 54.89/35.12 tff(32322,plain,
% 54.89/35.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB0, constB1)) | v178(constB0) | (~v180(constB1))),
% 54.89/35.12 inference(modus_ponens,[status(thm)],[32321, 32320])).
% 54.89/35.12 tff(32323,plain,
% 54.89/35.12 (v178(constB0) | (~v180(constB1))),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32322, 14317, 863])).
% 54.89/35.12 tff(32324,plain,
% 54.89/35.12 (~v180(constB1)),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32323, 32319])).
% 54.89/35.12 tff(32325,plain,
% 54.89/35.12 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB1) | (~v181(constB1)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB1) | (~v181(constB1)))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32326,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB1) | (~v181(constB1)))),
% 54.89/35.12 inference(quant_inst,[status(thm)],[])).
% 54.89/35.12 tff(32327,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB1) | (~v181(constB1))),
% 54.89/35.12 inference(modus_ponens,[status(thm)],[32326, 32325])).
% 54.89/35.12 tff(32328,plain,
% 54.89/35.12 (~v181(constB1)),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32327, 14332, 32324])).
% 54.89/35.12 tff(32329,plain,
% 54.89/35.12 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB1) | v185(constB1) | (~v178(constB1)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB1) | v185(constB1) | (~v178(constB1)))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32330,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB1) | v185(constB1) | (~v178(constB1)))),
% 54.89/35.12 inference(quant_inst,[status(thm)],[])).
% 54.89/35.12 tff(32331,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB1) | v185(constB1) | (~v178(constB1))),
% 54.89/35.12 inference(modus_ponens,[status(thm)],[32330, 32329])).
% 54.89/35.12 tff(32332,plain,
% 54.89/35.12 (v185(constB1) | (~v178(constB1))),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32331, 14302, 32328])).
% 54.89/35.12 tff(32333,plain,
% 54.89/35.12 (~v178(constB1)),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32332, 32297])).
% 54.89/35.12 tff(32334,plain,
% 54.89/35.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB1, constB2)) | v178(constB1) | (~v180(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB1, constB2)) | v178(constB1) | (~v180(constB2)))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32335,plain,
% 54.89/35.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB1, constB2)) | v178(constB1) | (~v180(constB2)))),
% 54.89/35.12 inference(quant_inst,[status(thm)],[])).
% 54.89/35.12 tff(32336,plain,
% 54.89/35.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB1, constB2)) | v178(constB1) | (~v180(constB2))),
% 54.89/35.12 inference(modus_ponens,[status(thm)],[32335, 32334])).
% 54.89/35.12 tff(32337,plain,
% 54.89/35.12 (v178(constB1) | (~v180(constB2))),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32336, 14317, 1085])).
% 54.89/35.12 tff(32338,plain,
% 54.89/35.12 (~v180(constB2)),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32337, 32333])).
% 54.89/35.12 tff(32339,plain,
% 54.89/35.12 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB2) | (~v181(constB2)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB2) | (~v181(constB2)))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32340,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB2) | (~v181(constB2)))),
% 54.89/35.12 inference(quant_inst,[status(thm)],[])).
% 54.89/35.12 tff(32341,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB2) | (~v181(constB2))),
% 54.89/35.12 inference(modus_ponens,[status(thm)],[32340, 32339])).
% 54.89/35.12 tff(32342,plain,
% 54.89/35.12 (~v181(constB2)),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32341, 14332, 32338])).
% 54.89/35.12 tff(32343,plain,
% 54.89/35.12 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB2)) | (~v184(constB2)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB2)) | (~v184(constB2)))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32344,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB2)) | (~v184(constB2)))),
% 54.89/35.12 inference(quant_inst,[status(thm)],[])).
% 54.89/35.12 tff(32345,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB2)) | (~v184(constB2))),
% 54.89/35.12 inference(modus_ponens,[status(thm)],[32344, 32343])).
% 54.89/35.12 tff(32346,plain,
% 54.89/35.12 (~v184(constB2)),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32345, 88, 1135])).
% 54.89/35.12 tff(32347,plain,
% 54.89/35.12 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB2) | (~v187(constB2)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB2) | (~v187(constB2)))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32348,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB2) | (~v187(constB2)))),
% 54.89/35.12 inference(quant_inst,[status(thm)],[])).
% 54.89/35.12 tff(32349,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB2) | (~v187(constB2))),
% 54.89/35.12 inference(modus_ponens,[status(thm)],[32348, 32347])).
% 54.89/35.12 tff(32350,plain,
% 54.89/35.12 (~v187(constB2)),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32349, 14350, 32346])).
% 54.89/35.12 tff(32351,plain,
% 54.89/35.12 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB2) | (~v185(constB2)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB2) | (~v185(constB2)))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32352,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB2) | (~v185(constB2)))),
% 54.89/35.12 inference(quant_inst,[status(thm)],[])).
% 54.89/35.12 tff(32353,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB2) | (~v185(constB2))),
% 54.89/35.12 inference(modus_ponens,[status(thm)],[32352, 32351])).
% 54.89/35.12 tff(32354,plain,
% 54.89/35.12 (~v185(constB2)),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32353, 14085, 32350])).
% 54.89/35.12 tff(32355,plain,
% 54.89/35.12 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB2) | v185(constB2) | (~v178(constB2)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB2) | v185(constB2) | (~v178(constB2)))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32356,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB2) | v185(constB2) | (~v178(constB2)))),
% 54.89/35.12 inference(quant_inst,[status(thm)],[])).
% 54.89/35.12 tff(32357,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB2) | v185(constB2) | (~v178(constB2))),
% 54.89/35.12 inference(modus_ponens,[status(thm)],[32356, 32355])).
% 54.89/35.12 tff(32358,plain,
% 54.89/35.12 (v181(constB2) | (~v178(constB2))),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32357, 14302, 32354])).
% 54.89/35.12 tff(32359,plain,
% 54.89/35.12 (~v178(constB2)),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32358, 32342])).
% 54.89/35.12 tff(32360,plain,
% 54.89/35.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB2, constB3)) | v178(constB2) | (~v180(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB2, constB3)) | v178(constB2) | (~v180(constB3)))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32361,plain,
% 54.89/35.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB2, constB3)) | v178(constB2) | (~v180(constB3)))),
% 54.89/35.12 inference(quant_inst,[status(thm)],[])).
% 54.89/35.12 tff(32362,plain,
% 54.89/35.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB2, constB3)) | v178(constB2) | (~v180(constB3))),
% 54.89/35.12 inference(modus_ponens,[status(thm)],[32361, 32360])).
% 54.89/35.12 tff(32363,plain,
% 54.89/35.12 (v178(constB2) | (~v180(constB3))),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32362, 14317, 1234])).
% 54.89/35.12 tff(32364,plain,
% 54.89/35.12 (~v180(constB3)),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32363, 32359])).
% 54.89/35.12 tff(32365,plain,
% 54.89/35.12 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB3) | (~v181(constB3)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB3) | (~v181(constB3)))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32366,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB3) | (~v181(constB3)))),
% 54.89/35.12 inference(quant_inst,[status(thm)],[])).
% 54.89/35.12 tff(32367,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB3) | (~v181(constB3))),
% 54.89/35.12 inference(modus_ponens,[status(thm)],[32366, 32365])).
% 54.89/35.12 tff(32368,plain,
% 54.89/35.12 (~v181(constB3)),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32367, 14332, 32364])).
% 54.89/35.12 tff(32369,plain,
% 54.89/35.12 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB3) | v185(constB3) | (~v178(constB3)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB3) | v185(constB3) | (~v178(constB3)))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32370,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB3) | v185(constB3) | (~v178(constB3)))),
% 54.89/35.12 inference(quant_inst,[status(thm)],[])).
% 54.89/35.12 tff(32371,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB3) | v185(constB3) | (~v178(constB3))),
% 54.89/35.12 inference(modus_ponens,[status(thm)],[32370, 32369])).
% 54.89/35.12 tff(32372,plain,
% 54.89/35.12 (v185(constB3) | (~v178(constB3))),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32371, 14302, 32368])).
% 54.89/35.12 tff(32373,plain,
% 54.89/35.12 (~v178(constB3)),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32372, 32216])).
% 54.89/35.12 tff(32374,plain,
% 54.89/35.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB3, constB4)) | v178(constB3) | (~v180(constB4)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB3, constB4)) | v178(constB3) | (~v180(constB4)))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32375,plain,
% 54.89/35.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB3, constB4)) | v178(constB3) | (~v180(constB4)))),
% 54.89/35.12 inference(quant_inst,[status(thm)],[])).
% 54.89/35.12 tff(32376,plain,
% 54.89/35.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB3, constB4)) | v178(constB3) | (~v180(constB4))),
% 54.89/35.12 inference(modus_ponens,[status(thm)],[32375, 32374])).
% 54.89/35.12 tff(32377,plain,
% 54.89/35.12 (v178(constB3) | (~v180(constB4))),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32376, 14317, 1485])).
% 54.89/35.12 tff(32378,plain,
% 54.89/35.12 (~v180(constB4)),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32377, 32373])).
% 54.89/35.12 tff(32379,plain,
% 54.89/35.12 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB4) | (~v181(constB4)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB4) | (~v181(constB4)))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32380,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB4) | (~v181(constB4)))),
% 54.89/35.12 inference(quant_inst,[status(thm)],[])).
% 54.89/35.12 tff(32381,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB4) | (~v181(constB4))),
% 54.89/35.12 inference(modus_ponens,[status(thm)],[32380, 32379])).
% 54.89/35.12 tff(32382,plain,
% 54.89/35.12 (~v181(constB4)),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32381, 14332, 32378])).
% 54.89/35.12 tff(32383,plain,
% 54.89/35.12 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB4)) | (~v184(constB4)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB4)) | (~v184(constB4)))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32384,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB4)) | (~v184(constB4)))),
% 54.89/35.12 inference(quant_inst,[status(thm)],[])).
% 54.89/35.12 tff(32385,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB4)) | (~v184(constB4))),
% 54.89/35.12 inference(modus_ponens,[status(thm)],[32384, 32383])).
% 54.89/35.12 tff(32386,plain,
% 54.89/35.12 (~v184(constB4)),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32385, 88, 365])).
% 54.89/35.12 tff(32387,plain,
% 54.89/35.12 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB4) | (~v187(constB4)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB4) | (~v187(constB4)))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32388,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB4) | (~v187(constB4)))),
% 54.89/35.12 inference(quant_inst,[status(thm)],[])).
% 54.89/35.12 tff(32389,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB4) | (~v187(constB4))),
% 54.89/35.12 inference(modus_ponens,[status(thm)],[32388, 32387])).
% 54.89/35.12 tff(32390,plain,
% 54.89/35.12 (~v187(constB4)),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32389, 14350, 32386])).
% 54.89/35.12 tff(32391,plain,
% 54.89/35.12 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB4) | (~v185(constB4)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB4) | (~v185(constB4)))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32392,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB4) | (~v185(constB4)))),
% 54.89/35.12 inference(quant_inst,[status(thm)],[])).
% 54.89/35.12 tff(32393,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB4) | (~v185(constB4))),
% 54.89/35.12 inference(modus_ponens,[status(thm)],[32392, 32391])).
% 54.89/35.12 tff(32394,plain,
% 54.89/35.12 (~v185(constB4)),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32393, 14085, 32390])).
% 54.89/35.12 tff(32395,plain,
% 54.89/35.12 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB4) | v185(constB4) | (~v178(constB4)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB4) | v185(constB4) | (~v178(constB4)))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32396,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB4) | v185(constB4) | (~v178(constB4)))),
% 54.89/35.12 inference(quant_inst,[status(thm)],[])).
% 54.89/35.12 tff(32397,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB4) | v185(constB4) | (~v178(constB4))),
% 54.89/35.12 inference(modus_ponens,[status(thm)],[32396, 32395])).
% 54.89/35.12 tff(32398,plain,
% 54.89/35.12 (v181(constB4) | (~v178(constB4))),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32397, 14302, 32394])).
% 54.89/35.12 tff(32399,plain,
% 54.89/35.12 (~v178(constB4)),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32398, 32382])).
% 54.89/35.12 tff(32400,plain,
% 54.89/35.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB4, constB5)) | v178(constB4) | (~v180(constB5)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB4, constB5)) | v178(constB4) | (~v180(constB5)))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32401,plain,
% 54.89/35.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB4, constB5)) | v178(constB4) | (~v180(constB5)))),
% 54.89/35.12 inference(quant_inst,[status(thm)],[])).
% 54.89/35.12 tff(32402,plain,
% 54.89/35.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB4, constB5)) | v178(constB4) | (~v180(constB5))),
% 54.89/35.12 inference(modus_ponens,[status(thm)],[32401, 32400])).
% 54.89/35.12 tff(32403,plain,
% 54.89/35.12 (v178(constB4) | (~v180(constB5))),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32402, 14317, 1551])).
% 54.89/35.12 tff(32404,plain,
% 54.89/35.12 (~v180(constB5)),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32403, 32399])).
% 54.89/35.12 tff(32405,plain,
% 54.89/35.12 ($false),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32404, 32155])).
% 54.89/35.12 tff(32406,plain,((~(constB5 = sK_VarCurr)) | (~v180(sK_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 54.89/35.12 tff(32407,plain,
% 54.89/35.12 (~(constB5 = sK_VarCurr)),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32406, 815])).
% 54.89/35.12 tff(32408,assumption,(constB19 = sK_VarCurr), introduced(assumption)).
% 54.89/35.12 tff(32409,plain,
% 54.89/35.12 (v180(constB19) <=> v180(sK_VarCurr)),
% 54.89/35.12 inference(monotonicity,[status(thm)],[32408])).
% 54.89/35.12 tff(32410,plain,
% 54.89/35.12 (v180(sK_VarCurr) <=> v180(constB19)),
% 54.89/35.12 inference(symmetry,[status(thm)],[32409])).
% 54.89/35.12 tff(32411,plain,
% 54.89/35.12 (v180(constB19)),
% 54.89/35.12 inference(modus_ponens,[status(thm)],[819, 32410])).
% 54.89/35.12 tff(32412,plain,
% 54.89/35.12 (v127(constB15, 1)),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[3456, 831])).
% 54.89/35.12 tff(32413,plain,
% 54.89/35.12 (v129(constB16, 1)),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[3464, 32412])).
% 54.89/35.12 tff(32414,plain,
% 54.89/35.12 (v90(constB16, 1)),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[3841, 32413])).
% 54.89/35.12 tff(32415,plain,
% 54.89/35.12 (v90(constB17, 1)),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[3868, 32414])).
% 54.89/35.12 tff(32416,plain,
% 54.89/35.12 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB17, 1)) | v88(constB17, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB17, 1)) | v88(constB17, 1))),
% 54.89/35.12 inference(rewrite,[status(thm)],[])).
% 54.89/35.12 tff(32417,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB17, 1)) | v88(constB17, 1))),
% 54.89/35.12 inference(quant_inst,[status(thm)],[])).
% 54.89/35.12 tff(32418,plain,
% 54.89/35.12 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB17, 1)) | v88(constB17, 1)),
% 54.89/35.12 inference(modus_ponens,[status(thm)],[32417, 32416])).
% 54.89/35.12 tff(32419,plain,
% 54.89/35.12 (v88(constB17, 1)),
% 54.89/35.12 inference(unit_resolution,[status(thm)],[32418, 24936, 32415])).
% 54.89/35.13 tff(32420,plain,
% 54.89/35.13 (~v127(constB15, 2)),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[3880, 831])).
% 54.89/35.13 tff(32421,plain,
% 54.89/35.13 (~v129(constB16, 2)),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[3885, 32420])).
% 54.89/35.13 tff(32422,plain,
% 54.89/35.13 (~v90(constB16, 2)),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[3890, 32421])).
% 54.89/35.13 tff(32423,plain,
% 54.89/35.13 (~v90(constB17, 2)),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[3899, 32422])).
% 54.89/35.13 tff(32424,plain,
% 54.89/35.13 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB17, 2)) | v90(constB17, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB17, 2)) | v90(constB17, 2))),
% 54.89/35.13 inference(rewrite,[status(thm)],[])).
% 54.89/35.13 tff(32425,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB17, 2)) | v90(constB17, 2))),
% 54.89/35.13 inference(quant_inst,[status(thm)],[])).
% 54.89/35.13 tff(32426,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB17, 2)) | v90(constB17, 2)),
% 54.89/35.13 inference(modus_ponens,[status(thm)],[32425, 32424])).
% 54.89/35.13 tff(32427,plain,
% 54.89/35.13 (~v88(constB17, 2)),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32426, 24881, 32423])).
% 54.89/35.13 tff(32428,plain,
% 54.89/35.13 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB17, 0)) | v90(constB17, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB17, 0)) | v90(constB17, 0))),
% 54.89/35.13 inference(rewrite,[status(thm)],[])).
% 54.89/35.13 tff(32429,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB17, 0)) | v90(constB17, 0))),
% 54.89/35.13 inference(quant_inst,[status(thm)],[])).
% 54.89/35.13 tff(32430,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB17, 0)) | v90(constB17, 0)),
% 54.89/35.13 inference(modus_ponens,[status(thm)],[32429, 32428])).
% 54.89/35.13 tff(32431,plain,
% 54.89/35.13 (~v88(constB17, 0)),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32430, 14132, 3940])).
% 54.89/35.13 tff(32432,plain,
% 54.89/35.13 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | ((~v88(constB17, 1)) | v88(constB17, 2) | v88(constB17, 0) | v143(constB17))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (~v88(constB17, 1)) | v88(constB17, 2) | v88(constB17, 0) | v143(constB17))),
% 54.89/35.13 inference(rewrite,[status(thm)],[])).
% 54.89/35.13 tff(32433,plain,
% 54.89/35.13 ((v88(constB17, 2) | (~v88(constB17, 1)) | v88(constB17, 0) | v143(constB17)) <=> ((~v88(constB17, 1)) | v88(constB17, 2) | v88(constB17, 0) | v143(constB17))),
% 54.89/35.13 inference(rewrite,[status(thm)],[])).
% 54.89/35.13 tff(32434,plain,
% 54.89/35.13 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB17, 2) | (~v88(constB17, 1)) | v88(constB17, 0) | v143(constB17))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | ((~v88(constB17, 1)) | v88(constB17, 2) | v88(constB17, 0) | v143(constB17)))),
% 54.89/35.13 inference(monotonicity,[status(thm)],[32433])).
% 54.89/35.13 tff(32435,plain,
% 54.89/35.13 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB17, 2) | (~v88(constB17, 1)) | v88(constB17, 0) | v143(constB17))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (~v88(constB17, 1)) | v88(constB17, 2) | v88(constB17, 0) | v143(constB17))),
% 54.89/35.13 inference(transitivity,[status(thm)],[32434, 32432])).
% 54.89/35.13 tff(32436,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB17, 2) | (~v88(constB17, 1)) | v88(constB17, 0) | v143(constB17))),
% 54.89/35.13 inference(quant_inst,[status(thm)],[])).
% 54.89/35.13 tff(32437,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (~v88(constB17, 1)) | v88(constB17, 2) | v88(constB17, 0) | v143(constB17)),
% 54.89/35.13 inference(modus_ponens,[status(thm)],[32436, 32435])).
% 54.89/35.13 tff(32438,plain,
% 54.89/35.13 ((~v88(constB17, 1)) | v88(constB17, 2) | v143(constB17)),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32437, 24950, 32431])).
% 54.89/35.13 tff(32439,plain,
% 54.89/35.13 (v143(constB17)),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32438, 32427, 32419])).
% 54.89/35.13 tff(32440,plain,
% 54.89/35.13 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB17)) | v142(constB17))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB17)) | v142(constB17))),
% 54.89/35.13 inference(rewrite,[status(thm)],[])).
% 54.89/35.13 tff(32441,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB17)) | v142(constB17))),
% 54.89/35.13 inference(quant_inst,[status(thm)],[])).
% 54.89/35.13 tff(32442,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB17)) | v142(constB17)),
% 54.89/35.13 inference(modus_ponens,[status(thm)],[32441, 32440])).
% 54.89/35.13 tff(32443,plain,
% 54.89/35.13 (v142(constB17)),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32442, 24964, 32439])).
% 54.89/35.13 tff(32444,plain,
% 54.89/35.13 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v166(VarCurr))) | ((~v142(constB17)) | v166(constB17))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v166(VarCurr))) | (~v142(constB17)) | v166(constB17))),
% 54.89/35.13 inference(rewrite,[status(thm)],[])).
% 54.89/35.13 tff(32445,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v166(VarCurr))) | ((~v142(constB17)) | v166(constB17))),
% 54.89/35.13 inference(quant_inst,[status(thm)],[])).
% 54.89/35.13 tff(32446,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v166(VarCurr))) | (~v142(constB17)) | v166(constB17)),
% 54.89/35.13 inference(modus_ponens,[status(thm)],[32445, 32444])).
% 54.89/35.13 tff(32447,plain,
% 54.89/35.13 (v166(constB17)),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32446, 24978, 32443])).
% 54.89/35.13 tff(32448,plain,
% 54.89/35.13 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (v165(constB17) | (~v166(constB17)))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB17) | (~v166(constB17)))),
% 54.89/35.13 inference(rewrite,[status(thm)],[])).
% 54.89/35.13 tff(32449,plain,
% 54.89/35.13 (((~v166(constB17)) | v165(constB17)) <=> (v165(constB17) | (~v166(constB17)))),
% 54.89/35.13 inference(rewrite,[status(thm)],[])).
% 54.89/35.13 tff(32450,plain,
% 54.89/35.13 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB17)) | v165(constB17))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (v165(constB17) | (~v166(constB17))))),
% 54.89/35.13 inference(monotonicity,[status(thm)],[32449])).
% 54.89/35.13 tff(32451,plain,
% 54.89/35.13 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB17)) | v165(constB17))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB17) | (~v166(constB17)))),
% 54.89/35.13 inference(transitivity,[status(thm)],[32450, 32448])).
% 54.89/35.13 tff(32452,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB17)) | v165(constB17))),
% 54.89/35.13 inference(quant_inst,[status(thm)],[])).
% 54.89/35.13 tff(32453,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB17) | (~v166(constB17))),
% 54.89/35.13 inference(modus_ponens,[status(thm)],[32452, 32451])).
% 54.89/35.13 tff(32454,plain,
% 54.89/35.13 (v165(constB17)),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32453, 24989, 32447])).
% 54.89/35.13 tff(32455,plain,
% 54.89/35.13 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB17)) | (~v88(constB17, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB17)) | (~v88(constB17, 1)))),
% 54.89/35.13 inference(rewrite,[status(thm)],[])).
% 54.89/35.13 tff(32456,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB17)) | (~v88(constB17, 1)))),
% 54.89/35.13 inference(quant_inst,[status(thm)],[])).
% 54.89/35.13 tff(32457,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB17)) | (~v88(constB17, 1))),
% 54.89/35.13 inference(modus_ponens,[status(thm)],[32456, 32455])).
% 54.89/35.13 tff(32458,plain,
% 54.89/35.13 (~v139(constB17)),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32457, 25003, 32419])).
% 54.89/35.13 tff(32459,plain,
% 54.89/35.13 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v88(VarCurr, 0))) | ((~v140(constB17)) | v88(constB17, 0))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v88(VarCurr, 0))) | (~v140(constB17)) | v88(constB17, 0))),
% 54.89/35.13 inference(rewrite,[status(thm)],[])).
% 54.89/35.13 tff(32460,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v88(VarCurr, 0))) | ((~v140(constB17)) | v88(constB17, 0))),
% 54.89/35.13 inference(quant_inst,[status(thm)],[])).
% 54.89/35.13 tff(32461,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v88(VarCurr, 0))) | (~v140(constB17)) | v88(constB17, 0)),
% 54.89/35.13 inference(modus_ponens,[status(thm)],[32460, 32459])).
% 54.89/35.13 tff(32462,plain,
% 54.89/35.13 (~v140(constB17)),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32461, 25549, 32431])).
% 54.89/35.13 tff(32463,plain,
% 54.89/35.13 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB17) | v140(constB17) | (~v170(constB17)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB17) | v140(constB17) | (~v170(constB17)))),
% 54.89/35.13 inference(rewrite,[status(thm)],[])).
% 54.89/35.13 tff(32464,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB17) | v140(constB17) | (~v170(constB17)))),
% 54.89/35.13 inference(quant_inst,[status(thm)],[])).
% 54.89/35.13 tff(32465,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB17) | v140(constB17) | (~v170(constB17))),
% 54.89/35.13 inference(modus_ponens,[status(thm)],[32464, 32463])).
% 54.89/35.13 tff(32466,plain,
% 54.89/35.13 (v139(constB17) | (~v170(constB17))),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32465, 13928, 32462])).
% 54.89/35.13 tff(32467,plain,
% 54.89/35.13 (~v170(constB17)),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32466, 32458])).
% 54.89/35.13 tff(32468,plain,
% 54.89/35.13 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | ((~v141(constB17)) | v88(constB17, 0))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | (~v141(constB17)) | v88(constB17, 0))),
% 54.89/35.13 inference(rewrite,[status(thm)],[])).
% 54.89/35.13 tff(32469,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | ((~v141(constB17)) | v88(constB17, 0))),
% 54.89/35.13 inference(quant_inst,[status(thm)],[])).
% 54.89/35.13 tff(32470,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | (~v141(constB17)) | v88(constB17, 0)),
% 54.89/35.13 inference(modus_ponens,[status(thm)],[32469, 32468])).
% 54.89/35.13 tff(32471,plain,
% 54.89/35.13 (~v141(constB17)),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32470, 25029, 32431])).
% 54.89/35.13 tff(32472,plain,
% 54.89/35.13 (((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB17) | v170(constB17) | (~v169(constB17)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB17) | v170(constB17) | (~v169(constB17)))),
% 54.89/35.13 inference(rewrite,[status(thm)],[])).
% 54.89/35.13 tff(32473,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB17) | v170(constB17) | (~v169(constB17)))),
% 54.89/35.13 inference(quant_inst,[status(thm)],[])).
% 54.89/35.13 tff(32474,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB17) | v170(constB17) | (~v169(constB17))),
% 54.89/35.13 inference(modus_ponens,[status(thm)],[32473, 32472])).
% 54.89/35.13 tff(32475,plain,
% 54.89/35.13 (v170(constB17) | (~v169(constB17))),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32474, 13953, 32471])).
% 54.89/35.13 tff(32476,plain,
% 54.89/35.13 (~v169(constB17)),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32475, 32467])).
% 54.89/35.13 tff(32477,plain,
% 54.89/35.13 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB17)) | (~v165(constB17)) | v169(constB17))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB17)) | (~v165(constB17)) | v169(constB17))),
% 54.89/35.13 inference(rewrite,[status(thm)],[])).
% 54.89/35.13 tff(32478,plain,
% 54.89/35.13 (((~v165(constB17)) | v169(constB17) | (~v162(constB17))) <=> ((~v162(constB17)) | (~v165(constB17)) | v169(constB17))),
% 54.89/35.13 inference(rewrite,[status(thm)],[])).
% 54.89/35.13 tff(32479,plain,
% 54.89/35.13 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB17)) | v169(constB17) | (~v162(constB17)))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB17)) | (~v165(constB17)) | v169(constB17)))),
% 54.89/35.13 inference(monotonicity,[status(thm)],[32478])).
% 54.89/35.13 tff(32480,plain,
% 54.89/35.13 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB17)) | v169(constB17) | (~v162(constB17)))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB17)) | (~v165(constB17)) | v169(constB17))),
% 54.89/35.13 inference(transitivity,[status(thm)],[32479, 32477])).
% 54.89/35.13 tff(32481,plain,
% 54.89/35.13 ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB17)) | v169(constB17) | (~v162(constB17)))),
% 54.89/35.13 inference(quant_inst,[status(thm)],[])).
% 54.89/35.13 tff(32482,plain,
% 54.89/35.13 ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB17)) | (~v165(constB17)) | v169(constB17)),
% 54.89/35.13 inference(modus_ponens,[status(thm)],[32481, 32480])).
% 54.89/35.13 tff(32483,plain,
% 54.89/35.13 ((~v162(constB17)) | (~v165(constB17))),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32482, 14054, 32476])).
% 54.89/35.13 tff(32484,plain,
% 54.89/35.13 (~v162(constB17)),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32483, 32454])).
% 54.89/35.13 tff(32485,plain,
% 54.89/35.13 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB17) | (~v187(constB17)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB17) | (~v187(constB17)))),
% 54.89/35.13 inference(rewrite,[status(thm)],[])).
% 54.89/35.13 tff(32486,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB17) | (~v187(constB17)))),
% 54.89/35.13 inference(quant_inst,[status(thm)],[])).
% 54.89/35.13 tff(32487,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB17) | (~v187(constB17))),
% 54.89/35.13 inference(modus_ponens,[status(thm)],[32486, 32485])).
% 54.89/35.13 tff(32488,plain,
% 54.89/35.13 (~v187(constB17)),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32487, 14071, 32484])).
% 54.89/35.13 tff(32489,plain,
% 54.89/35.13 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB17) | (~v185(constB17)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB17) | (~v185(constB17)))),
% 54.89/35.13 inference(rewrite,[status(thm)],[])).
% 54.89/35.13 tff(32490,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB17) | (~v185(constB17)))),
% 54.89/35.13 inference(quant_inst,[status(thm)],[])).
% 54.89/35.13 tff(32491,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB17) | (~v185(constB17))),
% 54.89/35.13 inference(modus_ponens,[status(thm)],[32490, 32489])).
% 54.89/35.13 tff(32492,plain,
% 54.89/35.13 (~v185(constB17)),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32491, 14085, 32488])).
% 54.89/35.13 tff(32493,assumption,(v18(constB18)), introduced(assumption)).
% 54.89/35.13 tff(32494,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB18))),
% 54.89/35.13 inference(quant_inst,[status(thm)],[])).
% 54.89/35.13 tff(32495,plain,
% 54.89/35.13 ($false),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32494, 14194, 32493])).
% 54.89/35.13 tff(32496,plain,(~v18(constB18)), inference(lemma,lemma(discharge,[]))).
% 54.89/35.13 tff(32497,plain,
% 54.89/35.13 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB18) | (~v1(constB18)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB18) | (~v1(constB18)))),
% 54.89/35.13 inference(rewrite,[status(thm)],[])).
% 54.89/35.13 tff(32498,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB18) | (~v1(constB18)))),
% 54.89/35.13 inference(quant_inst,[status(thm)],[])).
% 54.89/35.13 tff(32499,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB18) | (~v1(constB18))),
% 54.89/35.13 inference(modus_ponens,[status(thm)],[32498, 32497])).
% 54.89/35.13 tff(32500,plain,
% 54.89/35.13 (v22(constB18)),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32499, 14207, 486])).
% 54.89/35.13 tff(32501,plain,
% 54.89/35.13 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB18) | (~v22(constB18)) | (~v19(constB18)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB18) | (~v22(constB18)) | (~v19(constB18)))),
% 54.89/35.13 inference(rewrite,[status(thm)],[])).
% 54.89/35.13 tff(32502,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB18) | (~v22(constB18)) | (~v19(constB18)))),
% 54.89/35.13 inference(quant_inst,[status(thm)],[])).
% 54.89/35.13 tff(32503,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB18) | (~v22(constB18)) | (~v19(constB18))),
% 54.89/35.13 inference(modus_ponens,[status(thm)],[32502, 32501])).
% 54.89/35.13 tff(32504,plain,
% 54.89/35.13 (v18(constB18) | (~v19(constB18))),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32503, 14221, 32500])).
% 54.89/35.13 tff(32505,plain,
% 54.89/35.13 (~v19(constB18)),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32504, 32496])).
% 54.89/35.13 tff(32506,plain,
% 54.89/35.13 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB18) | v19(constB18))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB18) | v19(constB18))),
% 54.89/35.13 inference(rewrite,[status(thm)],[])).
% 54.89/35.13 tff(32507,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB18) | v19(constB18))),
% 54.89/35.13 inference(quant_inst,[status(thm)],[])).
% 54.89/35.13 tff(32508,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB18) | v19(constB18)),
% 54.89/35.13 inference(modus_ponens,[status(thm)],[32507, 32506])).
% 54.89/35.13 tff(32509,plain,
% 54.89/35.13 (v13(constB18)),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32508, 14233, 32505])).
% 54.89/35.13 tff(32510,plain,
% 54.89/35.13 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB17) | (~v13(constB18)) | (~nextState(constB17, constB18)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB17) | (~v13(constB18)) | (~nextState(constB17, constB18)))),
% 54.89/35.13 inference(rewrite,[status(thm)],[])).
% 54.89/35.13 tff(32511,plain,
% 54.89/35.13 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB17) | (~v13(constB18)) | (~nextState(constB17, constB18)))),
% 54.89/35.13 inference(quant_inst,[status(thm)],[])).
% 54.89/35.13 tff(32512,plain,
% 54.89/35.13 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB17) | (~v13(constB18)) | (~nextState(constB17, constB18))),
% 54.89/35.13 inference(modus_ponens,[status(thm)],[32511, 32510])).
% 54.89/35.13 tff(32513,plain,
% 54.89/35.13 (v9(constB17) | (~v13(constB18))),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32512, 14247, 3992])).
% 54.89/35.13 tff(32514,plain,
% 54.89/35.13 (v9(constB17)),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32513, 32509])).
% 54.89/35.13 tff(32515,plain,
% 54.89/35.13 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB17) | (~v9(constB17)) | v184(constB17))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB17) | (~v9(constB17)) | v184(constB17))),
% 54.89/35.13 inference(rewrite,[status(thm)],[])).
% 54.89/35.13 tff(32516,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB17) | (~v9(constB17)) | v184(constB17))),
% 54.89/35.13 inference(quant_inst,[status(thm)],[])).
% 54.89/35.13 tff(32517,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB17) | (~v9(constB17)) | v184(constB17)),
% 54.89/35.13 inference(modus_ponens,[status(thm)],[32516, 32515])).
% 54.89/35.13 tff(32518,plain,
% 54.89/35.13 ((~v9(constB17)) | v184(constB17)),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32517, 14262, 3845])).
% 54.89/35.13 tff(32519,plain,
% 54.89/35.13 (v184(constB17)),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32518, 32514])).
% 54.89/35.13 tff(32520,plain,
% 54.89/35.13 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB17)) | v183(constB17))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB17)) | v183(constB17))),
% 54.89/35.13 inference(rewrite,[status(thm)],[])).
% 54.89/35.13 tff(32521,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB17)) | v183(constB17))),
% 54.89/35.13 inference(quant_inst,[status(thm)],[])).
% 54.89/35.13 tff(32522,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB17)) | v183(constB17)),
% 54.89/35.13 inference(modus_ponens,[status(thm)],[32521, 32520])).
% 54.89/35.13 tff(32523,plain,
% 54.89/35.13 (v183(constB17)),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32522, 14274, 32519])).
% 54.89/35.13 tff(32524,plain,
% 54.89/35.13 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB17)) | (~v183(constB17)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB17)) | (~v183(constB17)))),
% 54.89/35.13 inference(rewrite,[status(thm)],[])).
% 54.89/35.13 tff(32525,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB17)) | (~v183(constB17)))),
% 54.89/35.13 inference(quant_inst,[status(thm)],[])).
% 54.89/35.13 tff(32526,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB17)) | (~v183(constB17))),
% 54.89/35.13 inference(modus_ponens,[status(thm)],[32525, 32524])).
% 54.89/35.13 tff(32527,plain,
% 54.89/35.13 (~v181(constB17)),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32526, 14288, 32523])).
% 54.89/35.13 tff(32528,plain,
% 54.89/35.13 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB17) | v185(constB17) | (~v178(constB17)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB17) | v185(constB17) | (~v178(constB17)))),
% 54.89/35.13 inference(rewrite,[status(thm)],[])).
% 54.89/35.13 tff(32529,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB17) | v185(constB17) | (~v178(constB17)))),
% 54.89/35.13 inference(quant_inst,[status(thm)],[])).
% 54.89/35.13 tff(32530,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB17) | v185(constB17) | (~v178(constB17))),
% 54.89/35.13 inference(modus_ponens,[status(thm)],[32529, 32528])).
% 54.89/35.13 tff(32531,plain,
% 54.89/35.13 (v185(constB17) | (~v178(constB17))),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32530, 14302, 32527])).
% 54.89/35.13 tff(32532,plain,
% 54.89/35.13 (~v178(constB17)),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32531, 32492])).
% 54.89/35.13 tff(32533,plain,
% 54.89/35.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB17, constB18)) | v178(constB17) | (~v180(constB18)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB17, constB18)) | v178(constB17) | (~v180(constB18)))),
% 54.89/35.13 inference(rewrite,[status(thm)],[])).
% 54.89/35.13 tff(32534,plain,
% 54.89/35.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB17, constB18)) | v178(constB17) | (~v180(constB18)))),
% 54.89/35.13 inference(quant_inst,[status(thm)],[])).
% 54.89/35.13 tff(32535,plain,
% 54.89/35.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB17, constB18)) | v178(constB17) | (~v180(constB18))),
% 54.89/35.13 inference(modus_ponens,[status(thm)],[32534, 32533])).
% 54.89/35.13 tff(32536,plain,
% 54.89/35.13 (v178(constB17) | (~v180(constB18))),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32535, 14317, 3992])).
% 54.89/35.13 tff(32537,plain,
% 54.89/35.13 (~v180(constB18)),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32536, 32532])).
% 54.89/35.13 tff(32538,plain,
% 54.89/35.13 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB18) | (~v181(constB18)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB18) | (~v181(constB18)))),
% 54.89/35.13 inference(rewrite,[status(thm)],[])).
% 54.89/35.13 tff(32539,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB18) | (~v181(constB18)))),
% 54.89/35.13 inference(quant_inst,[status(thm)],[])).
% 54.89/35.13 tff(32540,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB18) | (~v181(constB18))),
% 54.89/35.13 inference(modus_ponens,[status(thm)],[32539, 32538])).
% 54.89/35.13 tff(32541,plain,
% 54.89/35.13 (~v181(constB18)),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32540, 14332, 32537])).
% 54.89/35.13 tff(32542,plain,
% 54.89/35.13 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB18)) | (~v184(constB18)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB18)) | (~v184(constB18)))),
% 54.89/35.13 inference(rewrite,[status(thm)],[])).
% 54.89/35.13 tff(32543,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB18)) | (~v184(constB18)))),
% 54.89/35.13 inference(quant_inst,[status(thm)],[])).
% 54.89/35.13 tff(32544,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB18)) | (~v184(constB18))),
% 54.89/35.13 inference(modus_ponens,[status(thm)],[32543, 32542])).
% 54.89/35.13 tff(32545,plain,
% 54.89/35.13 (~v184(constB18)),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32544, 88, 486])).
% 54.89/35.13 tff(32546,plain,
% 54.89/35.13 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB18) | (~v187(constB18)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB18) | (~v187(constB18)))),
% 54.89/35.13 inference(rewrite,[status(thm)],[])).
% 54.89/35.13 tff(32547,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB18) | (~v187(constB18)))),
% 54.89/35.13 inference(quant_inst,[status(thm)],[])).
% 54.89/35.13 tff(32548,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB18) | (~v187(constB18))),
% 54.89/35.13 inference(modus_ponens,[status(thm)],[32547, 32546])).
% 54.89/35.13 tff(32549,plain,
% 54.89/35.13 (~v187(constB18)),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32548, 14350, 32545])).
% 54.89/35.13 tff(32550,plain,
% 54.89/35.13 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB18) | (~v185(constB18)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB18) | (~v185(constB18)))),
% 54.89/35.13 inference(rewrite,[status(thm)],[])).
% 54.89/35.13 tff(32551,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB18) | (~v185(constB18)))),
% 54.89/35.13 inference(quant_inst,[status(thm)],[])).
% 54.89/35.13 tff(32552,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB18) | (~v185(constB18))),
% 54.89/35.13 inference(modus_ponens,[status(thm)],[32551, 32550])).
% 54.89/35.13 tff(32553,plain,
% 54.89/35.13 (~v185(constB18)),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32552, 14085, 32549])).
% 54.89/35.13 tff(32554,plain,
% 54.89/35.13 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB18) | v185(constB18) | (~v178(constB18)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB18) | v185(constB18) | (~v178(constB18)))),
% 54.89/35.13 inference(rewrite,[status(thm)],[])).
% 54.89/35.13 tff(32555,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB18) | v185(constB18) | (~v178(constB18)))),
% 54.89/35.13 inference(quant_inst,[status(thm)],[])).
% 54.89/35.13 tff(32556,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB18) | v185(constB18) | (~v178(constB18))),
% 54.89/35.13 inference(modus_ponens,[status(thm)],[32555, 32554])).
% 54.89/35.13 tff(32557,plain,
% 54.89/35.13 (v181(constB18) | (~v178(constB18))),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32556, 14302, 32553])).
% 54.89/35.13 tff(32558,plain,
% 54.89/35.13 (~v178(constB18)),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32557, 32541])).
% 54.89/35.13 tff(32559,plain,
% 54.89/35.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB18, constB19)) | v178(constB18) | (~v180(constB19)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB18, constB19)) | v178(constB18) | (~v180(constB19)))),
% 54.89/35.13 inference(rewrite,[status(thm)],[])).
% 54.89/35.13 tff(32560,plain,
% 54.89/35.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB18, constB19)) | v178(constB18) | (~v180(constB19)))),
% 54.89/35.13 inference(quant_inst,[status(thm)],[])).
% 54.89/35.13 tff(32561,plain,
% 54.89/35.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB18, constB19)) | v178(constB18) | (~v180(constB19))),
% 54.89/35.13 inference(modus_ponens,[status(thm)],[32560, 32559])).
% 54.89/35.13 tff(32562,plain,
% 54.89/35.13 (v178(constB18) | (~v180(constB19))),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32561, 14317, 4051])).
% 54.89/35.13 tff(32563,plain,
% 54.89/35.13 (~v180(constB19)),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32562, 32558])).
% 54.89/35.13 tff(32564,plain,
% 54.89/35.13 ($false),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32563, 32411])).
% 54.89/35.13 tff(32565,plain,((~(constB19 = sK_VarCurr)) | (~v180(sK_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 54.89/35.13 tff(32566,plain,
% 54.89/35.13 (~(constB19 = sK_VarCurr)),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32565, 815])).
% 54.89/35.13 tff(32567,assumption,(constB109 = sK_VarCurr), introduced(assumption)).
% 54.89/35.13 tff(32568,plain,
% 54.89/35.13 (v180(constB109) <=> v180(sK_VarCurr)),
% 54.89/35.13 inference(monotonicity,[status(thm)],[32567])).
% 54.89/35.13 tff(32569,plain,
% 54.89/35.13 (v180(sK_VarCurr) <=> v180(constB109)),
% 54.89/35.13 inference(symmetry,[status(thm)],[32568])).
% 54.89/35.13 tff(32570,plain,
% 54.89/35.13 (v180(constB109)),
% 54.89/35.13 inference(modus_ponens,[status(thm)],[819, 32569])).
% 54.89/35.13 tff(32571,plain,
% 54.89/35.13 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB107, 1)) | v90(constB107, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB107, 1)) | v90(constB107, 1))),
% 54.89/35.13 inference(rewrite,[status(thm)],[])).
% 54.89/35.13 tff(32572,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB107, 1)) | v90(constB107, 1))),
% 54.89/35.13 inference(quant_inst,[status(thm)],[])).
% 54.89/35.13 tff(32573,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB107, 1)) | v90(constB107, 1)),
% 54.89/35.13 inference(modus_ponens,[status(thm)],[32572, 32571])).
% 54.89/35.13 tff(32574,plain,
% 54.89/35.13 (~v88(constB107, 1)),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32573, 13998, 19396])).
% 54.89/35.13 tff(32575,plain,
% 54.89/35.13 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB107, 0)) | v88(constB107, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB107, 0)) | v88(constB107, 0))),
% 54.89/35.13 inference(rewrite,[status(thm)],[])).
% 54.89/35.13 tff(32576,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB107, 0)) | v88(constB107, 0))),
% 54.89/35.13 inference(quant_inst,[status(thm)],[])).
% 54.89/35.13 tff(32577,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB107, 0)) | v88(constB107, 0)),
% 54.89/35.13 inference(modus_ponens,[status(thm)],[32576, 32575])).
% 54.89/35.13 tff(32578,plain,
% 54.89/35.13 (v88(constB107, 0)),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32577, 13903, 19362])).
% 54.89/35.13 tff(32579,plain,
% 54.89/35.13 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB107, 2)) | v88(constB107, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB107, 2)) | v88(constB107, 2))),
% 54.89/35.13 inference(rewrite,[status(thm)],[])).
% 54.89/35.13 tff(32580,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB107, 2)) | v88(constB107, 2))),
% 54.89/35.13 inference(quant_inst,[status(thm)],[])).
% 54.89/35.13 tff(32581,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB107, 2)) | v88(constB107, 2)),
% 54.89/35.13 inference(modus_ponens,[status(thm)],[32580, 32579])).
% 54.89/35.13 tff(32582,plain,
% 54.89/35.13 (v88(constB107, 2)),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32581, 13850, 19502])).
% 54.89/35.13 tff(32583,plain,
% 54.89/35.13 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB107, 0)) | (~v88(constB107, 2)) | v147(constB107) | v88(constB107, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (~v88(constB107, 0)) | (~v88(constB107, 2)) | v147(constB107) | v88(constB107, 1))),
% 54.89/35.13 inference(rewrite,[status(thm)],[])).
% 54.89/35.13 tff(32584,plain,
% 54.89/35.13 (((~v88(constB107, 2)) | v88(constB107, 1) | (~v88(constB107, 0)) | v147(constB107)) <=> ((~v88(constB107, 0)) | (~v88(constB107, 2)) | v147(constB107) | v88(constB107, 1))),
% 54.89/35.13 inference(rewrite,[status(thm)],[])).
% 54.89/35.13 tff(32585,plain,
% 54.89/35.13 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB107, 2)) | v88(constB107, 1) | (~v88(constB107, 0)) | v147(constB107))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB107, 0)) | (~v88(constB107, 2)) | v147(constB107) | v88(constB107, 1)))),
% 54.89/35.13 inference(monotonicity,[status(thm)],[32584])).
% 54.89/35.13 tff(32586,plain,
% 54.89/35.13 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB107, 2)) | v88(constB107, 1) | (~v88(constB107, 0)) | v147(constB107))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (~v88(constB107, 0)) | (~v88(constB107, 2)) | v147(constB107) | v88(constB107, 1))),
% 54.89/35.13 inference(transitivity,[status(thm)],[32585, 32583])).
% 54.89/35.13 tff(32587,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | ((~v88(constB107, 2)) | v88(constB107, 1) | (~v88(constB107, 0)) | v147(constB107))),
% 54.89/35.13 inference(quant_inst,[status(thm)],[])).
% 54.89/35.13 tff(32588,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v147(VarCurr))) | (~v88(constB107, 0)) | (~v88(constB107, 2)) | v147(constB107) | v88(constB107, 1)),
% 54.89/35.13 inference(modus_ponens,[status(thm)],[32587, 32586])).
% 54.89/35.13 tff(32589,plain,
% 54.89/35.13 ((~v88(constB107, 0)) | v147(constB107) | v88(constB107, 1)),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32588, 14012, 32582])).
% 54.89/35.13 tff(32590,plain,
% 54.89/35.13 (v147(constB107)),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32589, 32578, 32574])).
% 54.89/35.13 tff(32591,plain,
% 54.89/35.13 (((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | ((~v147(constB107)) | v145(constB107))) <=> ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | (~v147(constB107)) | v145(constB107))),
% 54.89/35.13 inference(rewrite,[status(thm)],[])).
% 54.89/35.13 tff(32592,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | ((~v147(constB107)) | v145(constB107))),
% 54.89/35.13 inference(quant_inst,[status(thm)],[])).
% 54.89/35.13 tff(32593,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : ((~v147(VarCurr)) | v145(VarCurr))) | (~v147(constB107)) | v145(constB107)),
% 54.89/35.13 inference(modus_ponens,[status(thm)],[32592, 32591])).
% 54.89/35.13 tff(32594,plain,
% 54.89/35.13 (v145(constB107)),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32593, 14026, 32590])).
% 54.89/35.13 tff(32595,plain,
% 54.89/35.13 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v165(VarCurr))) | (v165(constB107) | (~v145(constB107)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v165(VarCurr))) | v165(constB107) | (~v145(constB107)))),
% 54.89/35.13 inference(rewrite,[status(thm)],[])).
% 54.89/35.13 tff(32596,plain,
% 54.89/35.13 (((~v145(constB107)) | v165(constB107)) <=> (v165(constB107) | (~v145(constB107)))),
% 54.89/35.13 inference(rewrite,[status(thm)],[])).
% 54.89/35.13 tff(32597,plain,
% 54.89/35.13 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v165(VarCurr))) | ((~v145(constB107)) | v165(constB107))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v165(VarCurr))) | (v165(constB107) | (~v145(constB107))))),
% 54.89/35.13 inference(monotonicity,[status(thm)],[32596])).
% 54.89/35.13 tff(32598,plain,
% 54.89/35.13 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v165(VarCurr))) | ((~v145(constB107)) | v165(constB107))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v165(VarCurr))) | v165(constB107) | (~v145(constB107)))),
% 54.89/35.13 inference(transitivity,[status(thm)],[32597, 32595])).
% 54.89/35.13 tff(32599,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v165(VarCurr))) | ((~v145(constB107)) | v165(constB107))),
% 54.89/35.13 inference(quant_inst,[status(thm)],[])).
% 54.89/35.13 tff(32600,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v165(VarCurr))) | v165(constB107) | (~v145(constB107))),
% 54.89/35.13 inference(modus_ponens,[status(thm)],[32599, 32598])).
% 54.89/35.13 tff(32601,plain,
% 54.89/35.13 (v165(constB107)),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32600, 14037, 32594])).
% 54.89/35.13 tff(32602,plain,
% 54.89/35.13 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB107)) | (~v88(constB107, 2)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB107)) | (~v88(constB107, 2)))),
% 54.89/35.13 inference(rewrite,[status(thm)],[])).
% 54.89/35.13 tff(32603,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB107)) | (~v88(constB107, 2)))),
% 54.89/35.13 inference(quant_inst,[status(thm)],[])).
% 54.89/35.13 tff(32604,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB107)) | (~v88(constB107, 2))),
% 54.89/35.13 inference(modus_ponens,[status(thm)],[32603, 32602])).
% 54.89/35.13 tff(32605,plain,
% 54.89/35.13 (~v139(constB107)),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32604, 14100, 32582])).
% 54.89/35.13 tff(32606,plain,
% 54.89/35.13 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB107)) | (~v88(constB107, 2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB107)) | (~v88(constB107, 2)))),
% 54.89/35.13 inference(rewrite,[status(thm)],[])).
% 54.89/35.13 tff(32607,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB107)) | (~v88(constB107, 2)))),
% 54.89/35.13 inference(quant_inst,[status(thm)],[])).
% 54.89/35.13 tff(32608,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB107)) | (~v88(constB107, 2))),
% 54.89/35.13 inference(modus_ponens,[status(thm)],[32607, 32606])).
% 54.89/35.13 tff(32609,plain,
% 54.89/35.13 (~v140(constB107)),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32608, 13861, 32582])).
% 54.89/35.13 tff(32610,plain,
% 54.89/35.13 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB107) | v140(constB107) | (~v170(constB107)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB107) | v140(constB107) | (~v170(constB107)))),
% 54.89/35.13 inference(rewrite,[status(thm)],[])).
% 54.89/35.13 tff(32611,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB107) | v140(constB107) | (~v170(constB107)))),
% 54.89/35.13 inference(quant_inst,[status(thm)],[])).
% 54.89/35.13 tff(32612,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB107) | v140(constB107) | (~v170(constB107))),
% 54.89/35.13 inference(modus_ponens,[status(thm)],[32611, 32610])).
% 54.89/35.13 tff(32613,plain,
% 54.89/35.13 (~v170(constB107)),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32612, 13928, 32609, 32605])).
% 54.89/35.13 tff(32614,plain,
% 54.89/35.13 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB107)) | (~v88(constB107, 2)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB107)) | (~v88(constB107, 2)))),
% 54.89/35.13 inference(rewrite,[status(thm)],[])).
% 54.89/35.13 tff(32615,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB107)) | (~v88(constB107, 2)))),
% 54.89/35.13 inference(quant_inst,[status(thm)],[])).
% 54.89/35.13 tff(32616,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB107)) | (~v88(constB107, 2))),
% 54.89/35.13 inference(modus_ponens,[status(thm)],[32615, 32614])).
% 54.89/35.13 tff(32617,plain,
% 54.89/35.13 (~v141(constB107)),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32616, 13939, 32582])).
% 54.89/35.13 tff(32618,plain,
% 54.89/35.13 (((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB107) | v170(constB107) | (~v169(constB107)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB107) | v170(constB107) | (~v169(constB107)))),
% 54.89/35.13 inference(rewrite,[status(thm)],[])).
% 54.89/35.13 tff(32619,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB107) | v170(constB107) | (~v169(constB107)))),
% 54.89/35.13 inference(quant_inst,[status(thm)],[])).
% 54.89/35.13 tff(32620,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB107) | v170(constB107) | (~v169(constB107))),
% 54.89/35.13 inference(modus_ponens,[status(thm)],[32619, 32618])).
% 54.89/35.13 tff(32621,plain,
% 54.89/35.13 (v170(constB107) | (~v169(constB107))),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32620, 13953, 32617])).
% 54.89/35.13 tff(32622,plain,
% 54.89/35.13 (~v169(constB107)),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32621, 32613])).
% 54.89/35.13 tff(32623,plain,
% 54.89/35.13 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB107)) | v169(constB107) | (~v165(constB107)))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB107)) | v169(constB107) | (~v165(constB107)))),
% 54.89/35.13 inference(rewrite,[status(thm)],[])).
% 54.89/35.13 tff(32624,plain,
% 54.89/35.13 (((~v165(constB107)) | v169(constB107) | (~v162(constB107))) <=> ((~v162(constB107)) | v169(constB107) | (~v165(constB107)))),
% 54.89/35.13 inference(rewrite,[status(thm)],[])).
% 54.89/35.13 tff(32625,plain,
% 54.89/35.13 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB107)) | v169(constB107) | (~v162(constB107)))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB107)) | v169(constB107) | (~v165(constB107))))),
% 54.89/35.13 inference(monotonicity,[status(thm)],[32624])).
% 54.89/35.13 tff(32626,plain,
% 54.89/35.13 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB107)) | v169(constB107) | (~v162(constB107)))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB107)) | v169(constB107) | (~v165(constB107)))),
% 54.89/35.13 inference(transitivity,[status(thm)],[32625, 32623])).
% 54.89/35.13 tff(32627,plain,
% 54.89/35.13 ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB107)) | v169(constB107) | (~v162(constB107)))),
% 54.89/35.13 inference(quant_inst,[status(thm)],[])).
% 54.89/35.13 tff(32628,plain,
% 54.89/35.13 ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB107)) | v169(constB107) | (~v165(constB107))),
% 54.89/35.13 inference(modus_ponens,[status(thm)],[32627, 32626])).
% 54.89/35.13 tff(32629,plain,
% 54.89/35.13 ((~v162(constB107)) | (~v165(constB107))),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32628, 14054, 32622])).
% 54.89/35.13 tff(32630,plain,
% 54.89/35.13 (~v162(constB107)),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32629, 32601])).
% 54.89/35.13 tff(32631,plain,
% 54.89/35.13 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB107) | (~v187(constB107)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB107) | (~v187(constB107)))),
% 54.89/35.13 inference(rewrite,[status(thm)],[])).
% 54.89/35.13 tff(32632,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB107) | (~v187(constB107)))),
% 54.89/35.13 inference(quant_inst,[status(thm)],[])).
% 54.89/35.13 tff(32633,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB107) | (~v187(constB107))),
% 54.89/35.13 inference(modus_ponens,[status(thm)],[32632, 32631])).
% 54.89/35.13 tff(32634,plain,
% 54.89/35.13 (~v187(constB107)),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32633, 14071, 32630])).
% 54.89/35.13 tff(32635,plain,
% 54.89/35.13 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB107) | (~v185(constB107)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB107) | (~v185(constB107)))),
% 54.89/35.13 inference(rewrite,[status(thm)],[])).
% 54.89/35.13 tff(32636,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB107) | (~v185(constB107)))),
% 54.89/35.13 inference(quant_inst,[status(thm)],[])).
% 54.89/35.13 tff(32637,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB107) | (~v185(constB107))),
% 54.89/35.13 inference(modus_ponens,[status(thm)],[32636, 32635])).
% 54.89/35.13 tff(32638,plain,
% 54.89/35.13 (~v185(constB107)),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32637, 14085, 32634])).
% 54.89/35.13 tff(32639,assumption,(v18(constB108)), introduced(assumption)).
% 54.89/35.13 tff(32640,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB108))),
% 54.89/35.13 inference(quant_inst,[status(thm)],[])).
% 54.89/35.13 tff(32641,plain,
% 54.89/35.13 ($false),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32640, 14194, 32639])).
% 54.89/35.13 tff(32642,plain,(~v18(constB108)), inference(lemma,lemma(discharge,[]))).
% 54.89/35.13 tff(32643,plain,
% 54.89/35.13 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB108) | (~v1(constB108)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB108) | (~v1(constB108)))),
% 54.89/35.13 inference(rewrite,[status(thm)],[])).
% 54.89/35.13 tff(32644,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB108) | (~v1(constB108)))),
% 54.89/35.13 inference(quant_inst,[status(thm)],[])).
% 54.89/35.13 tff(32645,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB108) | (~v1(constB108))),
% 54.89/35.13 inference(modus_ponens,[status(thm)],[32644, 32643])).
% 54.89/35.13 tff(32646,plain,
% 54.89/35.13 (v22(constB108)),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32645, 14207, 19575])).
% 54.89/35.13 tff(32647,plain,
% 54.89/35.13 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB108) | (~v22(constB108)) | (~v19(constB108)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB108) | (~v22(constB108)) | (~v19(constB108)))),
% 54.89/35.13 inference(rewrite,[status(thm)],[])).
% 54.89/35.13 tff(32648,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB108) | (~v22(constB108)) | (~v19(constB108)))),
% 54.89/35.13 inference(quant_inst,[status(thm)],[])).
% 54.89/35.13 tff(32649,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB108) | (~v22(constB108)) | (~v19(constB108))),
% 54.89/35.13 inference(modus_ponens,[status(thm)],[32648, 32647])).
% 54.89/35.13 tff(32650,plain,
% 54.89/35.13 (v18(constB108) | (~v19(constB108))),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32649, 14221, 32646])).
% 54.89/35.13 tff(32651,plain,
% 54.89/35.13 (~v19(constB108)),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32650, 32642])).
% 54.89/35.13 tff(32652,plain,
% 54.89/35.13 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB108) | v19(constB108))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB108) | v19(constB108))),
% 54.89/35.13 inference(rewrite,[status(thm)],[])).
% 54.89/35.13 tff(32653,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB108) | v19(constB108))),
% 54.89/35.13 inference(quant_inst,[status(thm)],[])).
% 54.89/35.13 tff(32654,plain,
% 54.89/35.13 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB108) | v19(constB108)),
% 54.89/35.13 inference(modus_ponens,[status(thm)],[32653, 32652])).
% 54.89/35.13 tff(32655,plain,
% 54.89/35.13 (v13(constB108)),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32654, 14233, 32651])).
% 54.89/35.13 tff(32656,plain,
% 54.89/35.13 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB107) | (~v13(constB108)) | (~nextState(constB107, constB108)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB107) | (~v13(constB108)) | (~nextState(constB107, constB108)))),
% 54.89/35.13 inference(rewrite,[status(thm)],[])).
% 54.89/35.13 tff(32657,plain,
% 54.89/35.13 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB107) | (~v13(constB108)) | (~nextState(constB107, constB108)))),
% 54.89/35.13 inference(quant_inst,[status(thm)],[])).
% 54.89/35.13 tff(32658,plain,
% 54.89/35.13 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB107) | (~v13(constB108)) | (~nextState(constB107, constB108))),
% 54.89/35.13 inference(modus_ponens,[status(thm)],[32657, 32656])).
% 54.89/35.13 tff(32659,plain,
% 54.89/35.13 (v9(constB107) | (~v13(constB108))),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32658, 14247, 19555])).
% 54.89/35.13 tff(32660,plain,
% 54.89/35.13 (v9(constB107)),
% 54.89/35.13 inference(unit_resolution,[status(thm)],[32659, 32655])).
% 54.89/35.14 tff(32661,plain,
% 54.89/35.14 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB107) | (~v9(constB107)) | v184(constB107))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB107) | (~v9(constB107)) | v184(constB107))),
% 54.89/35.14 inference(rewrite,[status(thm)],[])).
% 54.89/35.14 tff(32662,plain,
% 54.89/35.14 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB107) | (~v9(constB107)) | v184(constB107))),
% 54.89/35.14 inference(quant_inst,[status(thm)],[])).
% 54.89/35.14 tff(32663,plain,
% 54.89/35.14 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB107) | (~v9(constB107)) | v184(constB107)),
% 54.89/35.14 inference(modus_ponens,[status(thm)],[32662, 32661])).
% 54.89/35.14 tff(32664,plain,
% 54.89/35.14 ((~v9(constB107)) | v184(constB107)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[32663, 14262, 19338])).
% 54.89/35.14 tff(32665,plain,
% 54.89/35.14 (v184(constB107)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[32664, 32660])).
% 54.89/35.14 tff(32666,plain,
% 54.89/35.14 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB107)) | v183(constB107))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB107)) | v183(constB107))),
% 54.89/35.14 inference(rewrite,[status(thm)],[])).
% 54.89/35.14 tff(32667,plain,
% 54.89/35.14 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB107)) | v183(constB107))),
% 54.89/35.14 inference(quant_inst,[status(thm)],[])).
% 54.89/35.14 tff(32668,plain,
% 54.89/35.14 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB107)) | v183(constB107)),
% 54.89/35.14 inference(modus_ponens,[status(thm)],[32667, 32666])).
% 54.89/35.14 tff(32669,plain,
% 54.89/35.14 (v183(constB107)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[32668, 14274, 32665])).
% 54.89/35.14 tff(32670,plain,
% 54.89/35.14 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB107)) | (~v183(constB107)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB107)) | (~v183(constB107)))),
% 54.89/35.14 inference(rewrite,[status(thm)],[])).
% 54.89/35.14 tff(32671,plain,
% 54.89/35.14 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB107)) | (~v183(constB107)))),
% 54.89/35.14 inference(quant_inst,[status(thm)],[])).
% 54.89/35.14 tff(32672,plain,
% 54.89/35.14 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB107)) | (~v183(constB107))),
% 54.89/35.14 inference(modus_ponens,[status(thm)],[32671, 32670])).
% 54.89/35.14 tff(32673,plain,
% 54.89/35.14 (~v181(constB107)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[32672, 14288, 32669])).
% 54.89/35.14 tff(32674,plain,
% 54.89/35.14 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB107) | v185(constB107) | (~v178(constB107)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB107) | v185(constB107) | (~v178(constB107)))),
% 54.89/35.14 inference(rewrite,[status(thm)],[])).
% 54.89/35.14 tff(32675,plain,
% 54.89/35.14 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB107) | v185(constB107) | (~v178(constB107)))),
% 54.89/35.14 inference(quant_inst,[status(thm)],[])).
% 54.89/35.14 tff(32676,plain,
% 54.89/35.14 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB107) | v185(constB107) | (~v178(constB107))),
% 54.89/35.14 inference(modus_ponens,[status(thm)],[32675, 32674])).
% 54.89/35.14 tff(32677,plain,
% 54.89/35.14 (v185(constB107) | (~v178(constB107))),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[32676, 14302, 32673])).
% 54.89/35.14 tff(32678,plain,
% 54.89/35.14 (~v178(constB107)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[32677, 32638])).
% 54.89/35.14 tff(32679,plain,
% 54.89/35.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB107, constB108)) | v178(constB107) | (~v180(constB108)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB107, constB108)) | v178(constB107) | (~v180(constB108)))),
% 54.89/35.14 inference(rewrite,[status(thm)],[])).
% 54.89/35.14 tff(32680,plain,
% 54.89/35.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB107, constB108)) | v178(constB107) | (~v180(constB108)))),
% 54.89/35.14 inference(quant_inst,[status(thm)],[])).
% 54.89/35.14 tff(32681,plain,
% 54.89/35.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB107, constB108)) | v178(constB107) | (~v180(constB108))),
% 54.89/35.14 inference(modus_ponens,[status(thm)],[32680, 32679])).
% 54.89/35.14 tff(32682,plain,
% 54.89/35.14 (v178(constB107) | (~v180(constB108))),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[32681, 14317, 19555])).
% 54.89/35.14 tff(32683,plain,
% 54.89/35.14 (~v180(constB108)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[32682, 32678])).
% 54.89/35.14 tff(32684,plain,
% 54.89/35.14 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB108) | (~v181(constB108)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB108) | (~v181(constB108)))),
% 54.89/35.14 inference(rewrite,[status(thm)],[])).
% 54.89/35.14 tff(32685,plain,
% 54.89/35.14 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB108) | (~v181(constB108)))),
% 54.89/35.14 inference(quant_inst,[status(thm)],[])).
% 54.89/35.14 tff(32686,plain,
% 54.89/35.14 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB108) | (~v181(constB108))),
% 54.89/35.14 inference(modus_ponens,[status(thm)],[32685, 32684])).
% 54.89/35.14 tff(32687,plain,
% 54.89/35.14 (~v181(constB108)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[32686, 14332, 32683])).
% 54.89/35.14 tff(32688,plain,
% 54.89/35.14 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB108)) | (~v184(constB108)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB108)) | (~v184(constB108)))),
% 54.89/35.14 inference(rewrite,[status(thm)],[])).
% 54.89/35.14 tff(32689,plain,
% 54.89/35.14 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB108)) | (~v184(constB108)))),
% 54.89/35.14 inference(quant_inst,[status(thm)],[])).
% 54.89/35.14 tff(32690,plain,
% 54.89/35.14 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB108)) | (~v184(constB108))),
% 54.89/35.14 inference(modus_ponens,[status(thm)],[32689, 32688])).
% 54.89/35.14 tff(32691,plain,
% 54.89/35.14 (~v184(constB108)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[32690, 88, 19575])).
% 54.89/35.14 tff(32692,plain,
% 54.89/35.14 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB108) | (~v187(constB108)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB108) | (~v187(constB108)))),
% 54.89/35.14 inference(rewrite,[status(thm)],[])).
% 54.89/35.14 tff(32693,plain,
% 54.89/35.14 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB108) | (~v187(constB108)))),
% 54.89/35.14 inference(quant_inst,[status(thm)],[])).
% 54.89/35.14 tff(32694,plain,
% 54.89/35.14 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB108) | (~v187(constB108))),
% 54.89/35.14 inference(modus_ponens,[status(thm)],[32693, 32692])).
% 54.89/35.14 tff(32695,plain,
% 54.89/35.14 (~v187(constB108)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[32694, 14350, 32691])).
% 54.89/35.14 tff(32696,plain,
% 54.89/35.14 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB108) | (~v185(constB108)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB108) | (~v185(constB108)))),
% 54.89/35.14 inference(rewrite,[status(thm)],[])).
% 54.89/35.14 tff(32697,plain,
% 54.89/35.14 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB108) | (~v185(constB108)))),
% 54.89/35.14 inference(quant_inst,[status(thm)],[])).
% 54.89/35.14 tff(32698,plain,
% 54.89/35.14 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB108) | (~v185(constB108))),
% 54.89/35.14 inference(modus_ponens,[status(thm)],[32697, 32696])).
% 54.89/35.14 tff(32699,plain,
% 54.89/35.14 (~v185(constB108)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[32698, 14085, 32695])).
% 54.89/35.14 tff(32700,plain,
% 54.89/35.14 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB108) | v185(constB108) | (~v178(constB108)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB108) | v185(constB108) | (~v178(constB108)))),
% 54.89/35.14 inference(rewrite,[status(thm)],[])).
% 54.89/35.14 tff(32701,plain,
% 54.89/35.14 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB108) | v185(constB108) | (~v178(constB108)))),
% 54.89/35.14 inference(quant_inst,[status(thm)],[])).
% 54.89/35.14 tff(32702,plain,
% 54.89/35.14 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB108) | v185(constB108) | (~v178(constB108))),
% 54.89/35.14 inference(modus_ponens,[status(thm)],[32701, 32700])).
% 54.89/35.14 tff(32703,plain,
% 54.89/35.14 (v181(constB108) | (~v178(constB108))),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[32702, 14302, 32699])).
% 54.89/35.14 tff(32704,plain,
% 54.89/35.14 (~v178(constB108)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[32703, 32687])).
% 54.89/35.14 tff(32705,plain,
% 54.89/35.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB108, constB109)) | v178(constB108) | (~v180(constB109)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB108, constB109)) | v178(constB108) | (~v180(constB109)))),
% 54.89/35.14 inference(rewrite,[status(thm)],[])).
% 54.89/35.14 tff(32706,plain,
% 54.89/35.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB108, constB109)) | v178(constB108) | (~v180(constB109)))),
% 54.89/35.14 inference(quant_inst,[status(thm)],[])).
% 54.89/35.14 tff(32707,plain,
% 54.89/35.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB108, constB109)) | v178(constB108) | (~v180(constB109))),
% 54.89/35.14 inference(modus_ponens,[status(thm)],[32706, 32705])).
% 54.89/35.14 tff(32708,plain,
% 54.89/35.14 (v178(constB108) | (~v180(constB109))),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[32707, 14317, 19614])).
% 54.89/35.14 tff(32709,plain,
% 54.89/35.14 (~v180(constB109)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[32708, 32704])).
% 54.89/35.14 tff(32710,plain,
% 54.89/35.14 ($false),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[32709, 32570])).
% 54.89/35.14 tff(32711,plain,((~(constB109 = sK_VarCurr)) | (~v180(sK_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 54.89/35.14 tff(32712,plain,
% 54.89/35.14 (~(constB109 = sK_VarCurr)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[32711, 815])).
% 54.89/35.14 tff(32713,assumption,(constB163 = sK_VarCurr), introduced(assumption)).
% 54.89/35.14 tff(32714,plain,
% 54.89/35.14 (v180(constB163) <=> v180(sK_VarCurr)),
% 54.89/35.14 inference(monotonicity,[status(thm)],[32713])).
% 54.89/35.14 tff(32715,plain,
% 54.89/35.14 (v180(sK_VarCurr) <=> v180(constB163)),
% 54.89/35.14 inference(symmetry,[status(thm)],[32714])).
% 54.89/35.14 tff(32716,plain,
% 54.89/35.14 (v180(constB163)),
% 54.89/35.14 inference(modus_ponens,[status(thm)],[819, 32715])).
% 54.89/35.14 tff(32717,plain,
% 54.89/35.14 (~v130(constB159, 0)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[30817, 1657, 30644])).
% 54.89/35.14 tff(32718,plain,
% 54.89/35.14 (~v127(constB159, 0)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[30825, 32717])).
% 54.89/35.14 tff(32719,plain,
% 54.89/35.14 (~v129(constB160, 0)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[30830, 32718])).
% 54.89/35.14 tff(32720,plain,
% 54.89/35.14 (~v123(constB157)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[30541, 2879, 30521])).
% 54.89/35.14 tff(32721,plain,
% 54.89/35.14 (~v120(constB157)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[30546, 2846, 30521])).
% 54.89/35.14 tff(32722,plain,
% 54.89/35.14 (v130(constB155, 2)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[30550, 2741, 30484])).
% 54.89/35.14 tff(32723,plain,
% 54.89/35.14 (v127(constB155, 2)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[29849, 32722])).
% 54.89/35.14 tff(32724,plain,
% 54.89/35.14 (v129(constB156, 2)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[30556, 32723])).
% 54.89/35.14 tff(32725,plain,
% 54.89/35.14 (v90(constB156, 2) | (~v100(constB156))),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[30563, 2324, 32724])).
% 54.89/35.14 tff(32726,plain,
% 54.89/35.14 (v90(constB156, 2)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[32725, 30490])).
% 54.89/35.14 tff(32727,plain,
% 54.89/35.14 (v90(constB157, 2)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[30573, 32726])).
% 54.89/35.14 tff(32728,plain,
% 54.89/35.14 (~v122(constB157)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[30577, 2797, 32727])).
% 54.89/35.14 tff(32729,plain,
% 54.89/35.14 (~v121(constB157)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[30581, 2857, 32727])).
% 54.89/35.14 tff(32730,plain,
% 54.89/35.14 (~v119(constB157)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[30585, 2868, 30521])).
% 54.89/35.14 tff(32731,plain,
% 54.89/35.14 (~v130(constB157, 1)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[30622, 3309, 32730, 32729, 32728, 32721, 30525, 32720])).
% 54.89/35.14 tff(32732,plain,
% 54.89/35.14 (~v127(constB157, 1)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[29695, 32731])).
% 54.89/35.14 tff(32733,plain,
% 54.89/35.14 (~v129(constB158, 1)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[29687, 32732])).
% 54.89/35.14 tff(32734,plain,
% 54.89/35.14 ((~v90(constB158, 1)) | v129(constB158, 1)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[29681, 1309, 30434])).
% 54.89/35.14 tff(32735,plain,
% 54.89/35.14 (~v90(constB158, 1)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[32734, 32733])).
% 54.89/35.14 tff(32736,plain,
% 54.89/35.14 (~v90(constB159, 1)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[30635, 32735])).
% 54.89/35.14 tff(32737,plain,
% 54.89/35.14 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB167)) | (~v90(constB167, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB167)) | (~v90(constB167, 2)))),
% 54.89/35.14 inference(rewrite,[status(thm)],[])).
% 54.89/35.14 tff(32738,plain,
% 54.89/35.14 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB167)) | (~v90(constB167, 2)))),
% 54.89/35.14 inference(quant_inst,[status(thm)],[])).
% 54.89/35.14 tff(32739,plain,
% 54.89/35.14 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB167)) | (~v90(constB167, 2))),
% 54.89/35.14 inference(modus_ponens,[status(thm)],[32738, 32737])).
% 54.89/35.14 tff(32740,plain,
% 54.89/35.14 (~v121(constB167)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[32739, 2857, 31487])).
% 54.89/35.14 tff(32741,assumption,(v120(constB165)), introduced(assumption)).
% 54.89/35.14 tff(32742,plain,
% 54.89/35.14 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB165)) | v118(constB165))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB165)) | v118(constB165))),
% 54.89/35.14 inference(rewrite,[status(thm)],[])).
% 54.89/35.14 tff(32743,plain,
% 54.89/35.14 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB165)) | v118(constB165))),
% 54.89/35.14 inference(quant_inst,[status(thm)],[])).
% 54.89/35.14 tff(32744,plain,
% 54.89/35.14 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB165)) | v118(constB165)),
% 54.89/35.14 inference(modus_ponens,[status(thm)],[32743, 32742])).
% 54.89/35.14 tff(32745,plain,
% 54.89/35.14 (v118(constB165)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[32744, 1425, 32741])).
% 54.89/35.14 tff(32746,plain,
% 54.89/35.14 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB165) | (~v118(constB165)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB165) | (~v118(constB165)))),
% 54.89/35.14 inference(rewrite,[status(thm)],[])).
% 54.89/35.14 tff(32747,plain,
% 54.89/35.14 (((~v118(constB165)) | v117(constB165)) <=> (v117(constB165) | (~v118(constB165)))),
% 54.89/35.14 inference(rewrite,[status(thm)],[])).
% 54.89/35.14 tff(32748,plain,
% 54.89/35.14 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB165)) | v117(constB165))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB165) | (~v118(constB165))))),
% 54.89/35.14 inference(monotonicity,[status(thm)],[32747])).
% 54.89/35.14 tff(32749,plain,
% 54.89/35.14 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB165)) | v117(constB165))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB165) | (~v118(constB165)))),
% 54.89/35.14 inference(transitivity,[status(thm)],[32748, 32746])).
% 54.89/35.14 tff(32750,plain,
% 54.89/35.14 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB165)) | v117(constB165))),
% 54.89/35.14 inference(quant_inst,[status(thm)],[])).
% 54.89/35.14 tff(32751,plain,
% 54.89/35.14 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB165) | (~v118(constB165))),
% 54.89/35.14 inference(modus_ponens,[status(thm)],[32750, 32749])).
% 54.89/35.14 tff(32752,plain,
% 54.89/35.14 (v117(constB165)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[32751, 993, 32745])).
% 54.89/35.14 tff(32753,plain,
% 54.89/35.14 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB165) | (~v117(constB165)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB165) | (~v117(constB165)))),
% 54.89/35.14 inference(rewrite,[status(thm)],[])).
% 54.89/35.14 tff(32754,plain,
% 54.89/35.14 (((~v117(constB165)) | v116(constB165)) <=> (v116(constB165) | (~v117(constB165)))),
% 54.89/35.14 inference(rewrite,[status(thm)],[])).
% 54.89/35.14 tff(32755,plain,
% 54.89/35.14 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB165)) | v116(constB165))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB165) | (~v117(constB165))))),
% 54.89/35.14 inference(monotonicity,[status(thm)],[32754])).
% 54.89/35.14 tff(32756,plain,
% 54.89/35.14 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB165)) | v116(constB165))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB165) | (~v117(constB165)))),
% 54.89/35.14 inference(transitivity,[status(thm)],[32755, 32753])).
% 54.89/35.14 tff(32757,plain,
% 54.89/35.14 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB165)) | v116(constB165))),
% 54.89/35.14 inference(quant_inst,[status(thm)],[])).
% 54.89/35.14 tff(32758,plain,
% 54.89/35.14 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB165) | (~v117(constB165))),
% 54.89/35.14 inference(modus_ponens,[status(thm)],[32757, 32756])).
% 54.89/35.14 tff(32759,plain,
% 54.89/35.14 (v116(constB165)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[32758, 1007, 32752])).
% 54.89/35.14 tff(32760,plain,
% 54.89/35.14 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB165) | (~v116(constB165)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB165) | (~v116(constB165)))),
% 54.89/35.14 inference(rewrite,[status(thm)],[])).
% 54.89/35.14 tff(32761,plain,
% 54.89/35.14 (((~v116(constB165)) | v115(constB165)) <=> (v115(constB165) | (~v116(constB165)))),
% 54.89/35.14 inference(rewrite,[status(thm)],[])).
% 54.89/35.14 tff(32762,plain,
% 54.89/35.14 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB165)) | v115(constB165))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB165) | (~v116(constB165))))),
% 54.89/35.14 inference(monotonicity,[status(thm)],[32761])).
% 54.89/35.14 tff(32763,plain,
% 54.89/35.14 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB165)) | v115(constB165))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB165) | (~v116(constB165)))),
% 54.89/35.14 inference(transitivity,[status(thm)],[32762, 32760])).
% 54.89/35.14 tff(32764,plain,
% 54.89/35.14 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB165)) | v115(constB165))),
% 54.89/35.14 inference(quant_inst,[status(thm)],[])).
% 54.89/35.14 tff(32765,plain,
% 54.89/35.14 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB165) | (~v116(constB165))),
% 54.89/35.14 inference(modus_ponens,[status(thm)],[32764, 32763])).
% 54.89/35.14 tff(32766,plain,
% 54.89/35.14 (v115(constB165)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[32765, 1021, 32759])).
% 54.89/35.14 tff(32767,plain,
% 54.89/35.14 (v114(constB165)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[31273, 1035, 32766])).
% 54.89/35.14 tff(32768,plain,
% 54.89/35.14 (v113(constB165)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[31280, 1049, 32767])).
% 54.89/35.14 tff(32769,plain,
% 54.89/35.14 (v112(constB165)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[31289, 32768])).
% 54.89/35.14 tff(32770,plain,
% 54.89/35.14 (v108(constB165)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[31296, 1075, 32769])).
% 54.89/35.14 tff(32771,plain,
% 54.89/35.14 (v110(constB166)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[31307, 32770])).
% 54.89/35.14 tff(32772,plain,
% 54.89/35.14 (v100(constB166)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[31333, 32771])).
% 54.89/35.14 tff(32773,plain,
% 54.89/35.14 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB165)) | (~v130(constB165, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB165)) | (~v130(constB165, 2)))),
% 54.89/35.14 inference(rewrite,[status(thm)],[])).
% 54.89/35.14 tff(32774,plain,
% 54.89/35.14 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB165)) | (~v130(constB165, 2)))),
% 54.89/35.14 inference(quant_inst,[status(thm)],[])).
% 54.89/35.14 tff(32775,plain,
% 54.89/35.14 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB165)) | (~v130(constB165, 2))),
% 54.89/35.14 inference(modus_ponens,[status(thm)],[32774, 32773])).
% 54.89/35.14 tff(32776,plain,
% 54.89/35.14 (~v130(constB165, 2)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[32775, 1523, 32741])).
% 54.89/35.14 tff(32777,plain,
% 54.89/35.14 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB165, 2)) | v26(constB165) | v130(constB165, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB165, 2)) | v26(constB165) | v130(constB165, 2))),
% 54.89/35.14 inference(rewrite,[status(thm)],[])).
% 54.89/35.14 tff(32778,plain,
% 54.89/35.14 ((v26(constB165) | v130(constB165, 2) | (~v127(constB165, 2))) <=> ((~v127(constB165, 2)) | v26(constB165) | v130(constB165, 2))),
% 54.89/35.14 inference(rewrite,[status(thm)],[])).
% 54.89/35.14 tff(32779,plain,
% 54.89/35.14 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB165) | v130(constB165, 2) | (~v127(constB165, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB165, 2)) | v26(constB165) | v130(constB165, 2)))),
% 54.89/35.14 inference(monotonicity,[status(thm)],[32778])).
% 54.89/35.14 tff(32780,plain,
% 54.89/35.14 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB165) | v130(constB165, 2) | (~v127(constB165, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB165, 2)) | v26(constB165) | v130(constB165, 2))),
% 54.89/35.14 inference(transitivity,[status(thm)],[32779, 32777])).
% 54.89/35.14 tff(32781,plain,
% 54.89/35.14 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB165) | v130(constB165, 2) | (~v127(constB165, 2)))),
% 54.89/35.14 inference(quant_inst,[status(thm)],[])).
% 54.89/35.14 tff(32782,plain,
% 54.89/35.14 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB165, 2)) | v26(constB165) | v130(constB165, 2)),
% 54.89/35.14 inference(modus_ponens,[status(thm)],[32781, 32780])).
% 54.89/35.14 tff(32783,plain,
% 54.89/35.14 ((~v127(constB165, 2)) | v130(constB165, 2)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[32782, 1190, 31285])).
% 54.89/35.14 tff(32784,plain,
% 54.89/35.14 (~v127(constB165, 2)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[32783, 32776])).
% 54.89/35.14 tff(32785,plain,
% 54.89/35.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB165, constB166)) | v127(constB165, 2) | (~v129(constB166, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB165, constB166)) | v127(constB165, 2) | (~v129(constB166, 2)))),
% 54.89/35.14 inference(rewrite,[status(thm)],[])).
% 54.89/35.14 tff(32786,plain,
% 54.89/35.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB165, constB166)) | v127(constB165, 2) | (~v129(constB166, 2)))),
% 54.89/35.14 inference(quant_inst,[status(thm)],[])).
% 54.89/35.14 tff(32787,plain,
% 54.89/35.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB165, constB166)) | v127(constB165, 2) | (~v129(constB166, 2))),
% 54.89/35.14 inference(modus_ponens,[status(thm)],[32786, 32785])).
% 54.89/35.14 tff(32788,plain,
% 54.89/35.14 (v127(constB165, 2) | (~v129(constB166, 2))),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[32787, 1208, 31300])).
% 54.89/35.14 tff(32789,plain,
% 54.89/35.14 (~v129(constB166, 2)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[32788, 32784])).
% 54.89/35.14 tff(32790,plain,
% 54.89/35.14 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB166, 2)) | v129(constB166, 2) | (~v100(constB166)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB166, 2)) | v129(constB166, 2) | (~v100(constB166)))),
% 54.89/35.14 inference(rewrite,[status(thm)],[])).
% 54.89/35.14 tff(32791,plain,
% 54.89/35.14 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB166, 2)) | v129(constB166, 2) | (~v100(constB166)))),
% 54.89/35.14 inference(quant_inst,[status(thm)],[])).
% 54.89/35.14 tff(32792,plain,
% 54.89/35.14 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB166, 2)) | v129(constB166, 2) | (~v100(constB166))),
% 54.89/35.14 inference(modus_ponens,[status(thm)],[32791, 32790])).
% 54.89/35.14 tff(32793,plain,
% 54.89/35.14 ((~v90(constB166, 2)) | (~v100(constB166))),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[32792, 1223, 32789])).
% 54.89/35.14 tff(32794,plain,
% 54.89/35.14 (~v90(constB166, 2)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[32793, 32772])).
% 54.89/35.14 tff(32795,plain,
% 54.89/35.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB166, 2) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB166, 2) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, 2)))),
% 54.89/35.14 inference(rewrite,[status(thm)],[])).
% 54.89/35.14 tff(32796,plain,
% 54.89/35.14 (((~nextState(constB166, constB167)) | v90(constB166, 2) | v100(constB167) | (~v90(constB167, 2))) <=> (v90(constB166, 2) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, 2)))),
% 54.89/35.14 inference(rewrite,[status(thm)],[])).
% 54.89/35.14 tff(32797,plain,
% 54.89/35.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB166, constB167)) | v90(constB166, 2) | v100(constB167) | (~v90(constB167, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB166, 2) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, 2))))),
% 54.89/35.14 inference(monotonicity,[status(thm)],[32796])).
% 54.89/35.14 tff(32798,plain,
% 54.89/35.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB166, constB167)) | v90(constB166, 2) | v100(constB167) | (~v90(constB167, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB166, 2) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, 2)))),
% 54.89/35.14 inference(transitivity,[status(thm)],[32797, 32795])).
% 54.89/35.14 tff(32799,plain,
% 54.89/35.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB166, constB167)) | v90(constB166, 2) | v100(constB167) | (~v90(constB167, 2)))),
% 54.89/35.14 inference(quant_inst,[status(thm)],[])).
% 54.89/35.14 tff(32800,plain,
% 54.89/35.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB166, 2) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, 2))),
% 54.89/35.14 inference(modus_ponens,[status(thm)],[32799, 32798])).
% 54.89/35.14 tff(32801,plain,
% 54.89/35.14 (v90(constB166, 2) | v100(constB167) | (~v90(constB167, 2))),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[32800, 905, 31362])).
% 54.89/35.14 tff(32802,plain,
% 54.89/35.14 (v90(constB166, 2) | (~v90(constB167, 2))),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[32801, 31374])).
% 54.89/35.14 tff(32803,plain,
% 54.89/35.14 (~v90(constB167, 2)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[32802, 32794])).
% 54.89/35.14 tff(32804,plain,
% 54.89/35.14 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB165)) | v130(constB165, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB165)) | v130(constB165, 1))),
% 54.89/35.14 inference(rewrite,[status(thm)],[])).
% 54.89/35.14 tff(32805,plain,
% 54.89/35.14 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB165)) | v130(constB165, 1))),
% 54.89/35.14 inference(quant_inst,[status(thm)],[])).
% 54.89/35.14 tff(32806,plain,
% 54.89/35.14 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB165)) | v130(constB165, 1)),
% 54.89/35.14 inference(modus_ponens,[status(thm)],[32805, 32804])).
% 54.89/35.14 tff(32807,plain,
% 54.89/35.14 (v130(constB165, 1)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[32806, 1579, 32741])).
% 54.89/35.14 tff(32808,plain,
% 54.89/35.14 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB165) | (~v130(constB165, 1)) | v127(constB165, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB165) | (~v130(constB165, 1)) | v127(constB165, 1))),
% 54.89/35.14 inference(rewrite,[status(thm)],[])).
% 54.89/35.14 tff(32809,plain,
% 54.89/35.14 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB165) | (~v130(constB165, 1)) | v127(constB165, 1))),
% 54.89/35.14 inference(quant_inst,[status(thm)],[])).
% 54.89/35.14 tff(32810,plain,
% 54.89/35.14 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB165) | (~v130(constB165, 1)) | v127(constB165, 1)),
% 54.89/35.14 inference(modus_ponens,[status(thm)],[32809, 32808])).
% 54.89/35.14 tff(32811,plain,
% 54.89/35.14 ((~v130(constB165, 1)) | v127(constB165, 1)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[32810, 1593, 31285])).
% 54.89/35.14 tff(32812,plain,
% 54.89/35.14 (v127(constB165, 1)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[32811, 32807])).
% 54.89/35.14 tff(32813,plain,
% 54.89/35.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB165, constB166)) | (~v127(constB165, 1)) | v129(constB166, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB165, constB166)) | (~v127(constB165, 1)) | v129(constB166, 1))),
% 54.89/35.14 inference(rewrite,[status(thm)],[])).
% 54.89/35.14 tff(32814,plain,
% 54.89/35.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB165, constB166)) | (~v127(constB165, 1)) | v129(constB166, 1))),
% 54.89/35.14 inference(quant_inst,[status(thm)],[])).
% 54.89/35.14 tff(32815,plain,
% 54.89/35.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB165, constB166)) | (~v127(constB165, 1)) | v129(constB166, 1)),
% 54.89/35.14 inference(modus_ponens,[status(thm)],[32814, 32813])).
% 54.89/35.14 tff(32816,plain,
% 54.89/35.14 ((~v127(constB165, 1)) | v129(constB166, 1)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[32815, 1608, 31300])).
% 54.89/35.14 tff(32817,plain,
% 54.89/35.14 (v129(constB166, 1)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[32816, 32812])).
% 54.89/35.14 tff(32818,plain,
% 54.89/35.14 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB166, 1) | (~v129(constB166, 1)) | (~v100(constB166)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB166, 1) | (~v129(constB166, 1)) | (~v100(constB166)))),
% 54.89/35.14 inference(rewrite,[status(thm)],[])).
% 54.89/35.14 tff(32819,plain,
% 54.89/35.14 ((v90(constB166, 1) | (~v100(constB166)) | (~v129(constB166, 1))) <=> (v90(constB166, 1) | (~v129(constB166, 1)) | (~v100(constB166)))),
% 54.89/35.14 inference(rewrite,[status(thm)],[])).
% 54.89/35.14 tff(32820,plain,
% 54.89/35.14 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB166, 1) | (~v100(constB166)) | (~v129(constB166, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB166, 1) | (~v129(constB166, 1)) | (~v100(constB166))))),
% 54.89/35.14 inference(monotonicity,[status(thm)],[32819])).
% 54.89/35.14 tff(32821,plain,
% 54.89/35.14 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB166, 1) | (~v100(constB166)) | (~v129(constB166, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB166, 1) | (~v129(constB166, 1)) | (~v100(constB166)))),
% 54.89/35.14 inference(transitivity,[status(thm)],[32820, 32818])).
% 54.89/35.14 tff(32822,plain,
% 54.89/35.14 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB166, 1) | (~v100(constB166)) | (~v129(constB166, 1)))),
% 54.89/35.14 inference(quant_inst,[status(thm)],[])).
% 54.89/35.14 tff(32823,plain,
% 54.89/35.14 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB166, 1) | (~v129(constB166, 1)) | (~v100(constB166))),
% 54.89/35.14 inference(modus_ponens,[status(thm)],[32822, 32821])).
% 54.89/35.14 tff(32824,plain,
% 54.89/35.14 (v90(constB166, 1) | (~v100(constB166))),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[32823, 1623, 32817])).
% 54.89/35.14 tff(32825,plain,
% 54.89/35.14 (v90(constB166, 1)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[32824, 32772])).
% 54.89/35.14 tff(32826,plain,
% 54.89/35.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB166, 1)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB166, 1)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, 1))),
% 54.89/35.14 inference(rewrite,[status(thm)],[])).
% 54.89/35.14 tff(32827,plain,
% 54.89/35.14 (((~nextState(constB166, constB167)) | (~v90(constB166, 1)) | v100(constB167) | v90(constB167, 1)) <=> ((~v90(constB166, 1)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, 1))),
% 54.89/35.14 inference(rewrite,[status(thm)],[])).
% 54.89/35.14 tff(32828,plain,
% 54.89/35.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB166, constB167)) | (~v90(constB166, 1)) | v100(constB167) | v90(constB167, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB166, 1)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, 1)))),
% 54.89/35.14 inference(monotonicity,[status(thm)],[32827])).
% 54.89/35.14 tff(32829,plain,
% 54.89/35.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB166, constB167)) | (~v90(constB166, 1)) | v100(constB167) | v90(constB167, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB166, 1)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, 1))),
% 54.89/35.14 inference(transitivity,[status(thm)],[32828, 32826])).
% 54.89/35.14 tff(32830,plain,
% 54.89/35.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB166, constB167)) | (~v90(constB166, 1)) | v100(constB167) | v90(constB167, 1))),
% 54.89/35.14 inference(quant_inst,[status(thm)],[])).
% 54.89/35.14 tff(32831,plain,
% 54.89/35.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB166, 1)) | (~nextState(constB166, constB167)) | v100(constB167) | v90(constB167, 1)),
% 54.89/35.14 inference(modus_ponens,[status(thm)],[32830, 32829])).
% 54.89/35.14 tff(32832,plain,
% 54.89/35.14 ((~v90(constB166, 1)) | v100(constB167) | v90(constB167, 1)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[32831, 1641, 31362])).
% 54.89/35.14 tff(32833,plain,
% 54.89/35.14 ((~v90(constB166, 1)) | v90(constB167, 1)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[32832, 31374])).
% 54.89/35.14 tff(32834,plain,
% 54.89/35.14 (v90(constB167, 1)),
% 54.89/35.14 inference(unit_resolution,[status(thm)],[32833, 32825])).
% 54.98/35.14 tff(32835,plain,
% 54.98/35.14 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB165)) | (~v130(constB165, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB165)) | (~v130(constB165, 0)))),
% 54.98/35.14 inference(rewrite,[status(thm)],[])).
% 54.98/35.14 tff(32836,plain,
% 54.98/35.14 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB165)) | (~v130(constB165, 0)))),
% 54.98/35.14 inference(quant_inst,[status(thm)],[])).
% 54.98/35.14 tff(32837,plain,
% 54.98/35.14 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB165)) | (~v130(constB165, 0))),
% 54.98/35.14 inference(modus_ponens,[status(thm)],[32836, 32835])).
% 54.98/35.14 tff(32838,plain,
% 54.98/35.14 (~v130(constB165, 0)),
% 54.98/35.14 inference(unit_resolution,[status(thm)],[32837, 1657, 32741])).
% 54.98/35.14 tff(32839,plain,
% 54.98/35.14 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB165, 0)) | v26(constB165) | v130(constB165, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB165, 0)) | v26(constB165) | v130(constB165, 0))),
% 54.98/35.14 inference(rewrite,[status(thm)],[])).
% 54.98/35.14 tff(32840,plain,
% 54.98/35.14 ((v26(constB165) | v130(constB165, 0) | (~v127(constB165, 0))) <=> ((~v127(constB165, 0)) | v26(constB165) | v130(constB165, 0))),
% 54.98/35.14 inference(rewrite,[status(thm)],[])).
% 54.98/35.14 tff(32841,plain,
% 54.98/35.14 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB165) | v130(constB165, 0) | (~v127(constB165, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB165, 0)) | v26(constB165) | v130(constB165, 0)))),
% 54.98/35.14 inference(monotonicity,[status(thm)],[32840])).
% 54.98/35.14 tff(32842,plain,
% 54.98/35.14 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB165) | v130(constB165, 0) | (~v127(constB165, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB165, 0)) | v26(constB165) | v130(constB165, 0))),
% 54.98/35.14 inference(transitivity,[status(thm)],[32841, 32839])).
% 54.98/35.14 tff(32843,plain,
% 54.98/35.14 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB165) | v130(constB165, 0) | (~v127(constB165, 0)))),
% 54.98/35.14 inference(quant_inst,[status(thm)],[])).
% 54.98/35.14 tff(32844,plain,
% 54.98/35.14 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB165, 0)) | v26(constB165) | v130(constB165, 0)),
% 54.98/35.14 inference(modus_ponens,[status(thm)],[32843, 32842])).
% 54.98/35.14 tff(32845,plain,
% 54.98/35.14 ((~v127(constB165, 0)) | v130(constB165, 0)),
% 54.98/35.14 inference(unit_resolution,[status(thm)],[32844, 1671, 31285])).
% 54.98/35.14 tff(32846,plain,
% 54.98/35.14 (~v127(constB165, 0)),
% 54.98/35.14 inference(unit_resolution,[status(thm)],[32845, 32838])).
% 54.98/35.14 tff(32847,plain,
% 54.98/35.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB165, constB166)) | v127(constB165, 0) | (~v129(constB166, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB165, constB166)) | v127(constB165, 0) | (~v129(constB166, 0)))),
% 54.98/35.14 inference(rewrite,[status(thm)],[])).
% 54.98/35.14 tff(32848,plain,
% 54.98/35.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB165, constB166)) | v127(constB165, 0) | (~v129(constB166, 0)))),
% 54.98/35.14 inference(quant_inst,[status(thm)],[])).
% 54.98/35.14 tff(32849,plain,
% 54.98/35.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB165, constB166)) | v127(constB165, 0) | (~v129(constB166, 0))),
% 54.98/35.14 inference(modus_ponens,[status(thm)],[32848, 32847])).
% 54.98/35.14 tff(32850,plain,
% 54.98/35.14 (v127(constB165, 0) | (~v129(constB166, 0))),
% 54.98/35.14 inference(unit_resolution,[status(thm)],[32849, 1689, 31300])).
% 54.98/35.14 tff(32851,plain,
% 54.98/35.14 (~v129(constB166, 0)),
% 54.98/35.14 inference(unit_resolution,[status(thm)],[32850, 32846])).
% 54.98/35.14 tff(32852,plain,
% 54.98/35.14 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB166, 0)) | v129(constB166, 0) | (~v100(constB166)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB166, 0)) | v129(constB166, 0) | (~v100(constB166)))),
% 54.98/35.14 inference(rewrite,[status(thm)],[])).
% 54.98/35.14 tff(32853,plain,
% 54.98/35.14 (((~v90(constB166, 0)) | (~v100(constB166)) | v129(constB166, 0)) <=> ((~v90(constB166, 0)) | v129(constB166, 0) | (~v100(constB166)))),
% 54.98/35.14 inference(rewrite,[status(thm)],[])).
% 54.98/35.14 tff(32854,plain,
% 54.98/35.14 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB166, 0)) | (~v100(constB166)) | v129(constB166, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB166, 0)) | v129(constB166, 0) | (~v100(constB166))))),
% 54.98/35.14 inference(monotonicity,[status(thm)],[32853])).
% 54.98/35.14 tff(32855,plain,
% 54.98/35.14 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB166, 0)) | (~v100(constB166)) | v129(constB166, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB166, 0)) | v129(constB166, 0) | (~v100(constB166)))),
% 54.98/35.14 inference(transitivity,[status(thm)],[32854, 32852])).
% 54.98/35.14 tff(32856,plain,
% 54.98/35.14 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB166, 0)) | (~v100(constB166)) | v129(constB166, 0))),
% 54.98/35.14 inference(quant_inst,[status(thm)],[])).
% 54.98/35.14 tff(32857,plain,
% 54.98/35.14 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB166, 0)) | v129(constB166, 0) | (~v100(constB166))),
% 54.98/35.14 inference(modus_ponens,[status(thm)],[32856, 32855])).
% 54.98/35.14 tff(32858,plain,
% 54.98/35.14 ((~v90(constB166, 0)) | (~v100(constB166))),
% 54.98/35.14 inference(unit_resolution,[status(thm)],[32857, 1704, 32851])).
% 54.98/35.14 tff(32859,plain,
% 54.98/35.14 (~v90(constB166, 0)),
% 54.98/35.14 inference(unit_resolution,[status(thm)],[32858, 32772])).
% 54.98/35.14 tff(32860,plain,
% 54.98/35.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB166, 0) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB166, 0) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, 0)))),
% 54.98/35.14 inference(rewrite,[status(thm)],[])).
% 54.98/35.14 tff(32861,plain,
% 54.98/35.14 (((~nextState(constB166, constB167)) | v90(constB166, 0) | v100(constB167) | (~v90(constB167, 0))) <=> (v90(constB166, 0) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, 0)))),
% 54.98/35.14 inference(rewrite,[status(thm)],[])).
% 54.98/35.14 tff(32862,plain,
% 54.98/35.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB166, constB167)) | v90(constB166, 0) | v100(constB167) | (~v90(constB167, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB166, 0) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, 0))))),
% 54.98/35.14 inference(monotonicity,[status(thm)],[32861])).
% 54.98/35.14 tff(32863,plain,
% 54.98/35.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB166, constB167)) | v90(constB166, 0) | v100(constB167) | (~v90(constB167, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB166, 0) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, 0)))),
% 54.98/35.14 inference(transitivity,[status(thm)],[32862, 32860])).
% 54.98/35.14 tff(32864,plain,
% 54.98/35.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB166, constB167)) | v90(constB166, 0) | v100(constB167) | (~v90(constB167, 0)))),
% 54.98/35.14 inference(quant_inst,[status(thm)],[])).
% 54.98/35.14 tff(32865,plain,
% 54.98/35.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB166, 0) | (~nextState(constB166, constB167)) | v100(constB167) | (~v90(constB167, 0))),
% 54.98/35.14 inference(modus_ponens,[status(thm)],[32864, 32863])).
% 54.98/35.14 tff(32866,plain,
% 54.98/35.14 (v90(constB166, 0) | v100(constB167) | (~v90(constB167, 0))),
% 54.98/35.14 inference(unit_resolution,[status(thm)],[32865, 947, 31362])).
% 54.98/35.14 tff(32867,plain,
% 54.98/35.14 (v90(constB166, 0) | (~v90(constB167, 0))),
% 54.98/35.14 inference(unit_resolution,[status(thm)],[32866, 31374])).
% 54.98/35.14 tff(32868,plain,
% 54.98/35.14 (~v90(constB167, 0)),
% 54.98/35.14 inference(unit_resolution,[status(thm)],[32867, 32859])).
% 54.98/35.14 tff(32869,assumption,(~v121(constB167)), introduced(assumption)).
% 54.98/35.14 tff(32870,plain,
% 54.98/35.14 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB167, 0) | (~v90(constB167, 1)) | v90(constB167, 2) | v121(constB167))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB167, 0) | (~v90(constB167, 1)) | v90(constB167, 2) | v121(constB167))),
% 54.98/35.14 inference(rewrite,[status(thm)],[])).
% 54.98/35.14 tff(32871,plain,
% 54.98/35.14 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB167, 0) | (~v90(constB167, 1)) | v90(constB167, 2) | v121(constB167))),
% 54.98/35.14 inference(quant_inst,[status(thm)],[])).
% 54.98/35.14 tff(32872,plain,
% 54.98/35.14 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB167, 0) | (~v90(constB167, 1)) | v90(constB167, 2) | v121(constB167)),
% 54.98/35.14 inference(modus_ponens,[status(thm)],[32871, 32870])).
% 54.98/35.14 tff(32873,plain,
% 54.98/35.14 (v90(constB167, 0) | (~v90(constB167, 1)) | v90(constB167, 2)),
% 54.98/35.14 inference(unit_resolution,[status(thm)],[32872, 1731, 32869])).
% 54.98/35.14 tff(32874,plain,
% 54.98/35.14 ($false),
% 54.98/35.14 inference(unit_resolution,[status(thm)],[32873, 32868, 32834, 32803])).
% 54.98/35.14 tff(32875,plain,((~v120(constB165)) | v121(constB167)), inference(lemma,lemma(discharge,[]))).
% 54.98/35.14 tff(32876,plain,
% 54.98/35.14 (~v120(constB165)),
% 54.98/35.14 inference(unit_resolution,[status(thm)],[32875, 32740])).
% 54.98/35.14 tff(32877,plain,
% 54.98/35.14 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB163)) | v130(constB163, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB163)) | v130(constB163, 0))),
% 54.98/35.14 inference(rewrite,[status(thm)],[])).
% 54.98/35.14 tff(32878,plain,
% 54.98/35.14 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB163)) | v130(constB163, 0))),
% 54.98/35.14 inference(quant_inst,[status(thm)],[])).
% 54.98/35.14 tff(32879,plain,
% 54.98/35.14 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB163)) | v130(constB163, 0)),
% 54.98/35.14 inference(modus_ponens,[status(thm)],[32878, 32877])).
% 54.98/35.14 tff(32880,plain,
% 54.98/35.15 (~v121(constB163)),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[32879, 1915, 31229])).
% 54.98/35.15 tff(32881,assumption,(v124(constB161)), introduced(assumption)).
% 54.98/35.15 tff(32882,plain,
% 54.98/35.15 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB161)) | v114(constB161))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB161)) | v114(constB161))),
% 54.98/35.15 inference(rewrite,[status(thm)],[])).
% 54.98/35.15 tff(32883,plain,
% 54.98/35.15 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB161)) | v114(constB161))),
% 54.98/35.15 inference(quant_inst,[status(thm)],[])).
% 54.98/35.15 tff(32884,plain,
% 54.98/35.15 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB161)) | v114(constB161)),
% 54.98/35.15 inference(modus_ponens,[status(thm)],[32883, 32882])).
% 54.98/35.15 tff(32885,plain,
% 54.98/35.15 (v114(constB161)),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[32884, 2674, 32881])).
% 54.98/35.15 tff(32886,plain,
% 54.98/35.15 (v113(constB161)),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[30886, 1049, 32885])).
% 54.98/35.15 tff(32887,plain,
% 54.98/35.15 (v112(constB161)),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[30898, 32886])).
% 54.98/35.15 tff(32888,plain,
% 54.98/35.15 (v108(constB161)),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[30905, 1075, 32887])).
% 54.98/35.15 tff(32889,plain,
% 54.98/35.15 (v110(constB162)),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[30916, 32888])).
% 54.98/35.15 tff(32890,plain,
% 54.98/35.15 (v100(constB162)),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[30939, 32889])).
% 54.98/35.15 tff(32891,plain,
% 54.98/35.15 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB161)) | v130(constB161, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB161)) | v130(constB161, 2))),
% 54.98/35.15 inference(rewrite,[status(thm)],[])).
% 54.98/35.15 tff(32892,plain,
% 54.98/35.15 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB161)) | v130(constB161, 2))),
% 54.98/35.15 inference(quant_inst,[status(thm)],[])).
% 54.98/35.15 tff(32893,plain,
% 54.98/35.15 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB161)) | v130(constB161, 2)),
% 54.98/35.15 inference(modus_ponens,[status(thm)],[32892, 32891])).
% 54.98/35.15 tff(32894,plain,
% 54.98/35.15 (v130(constB161, 2)),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[32893, 2741, 32881])).
% 54.98/35.15 tff(32895,plain,
% 54.98/35.15 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB161) | (~v130(constB161, 2)) | v127(constB161, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB161) | (~v130(constB161, 2)) | v127(constB161, 2))),
% 54.98/35.15 inference(rewrite,[status(thm)],[])).
% 54.98/35.15 tff(32896,plain,
% 54.98/35.15 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB161) | (~v130(constB161, 2)) | v127(constB161, 2))),
% 54.98/35.15 inference(quant_inst,[status(thm)],[])).
% 54.98/35.15 tff(32897,plain,
% 54.98/35.15 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB161) | (~v130(constB161, 2)) | v127(constB161, 2)),
% 54.98/35.15 inference(modus_ponens,[status(thm)],[32896, 32895])).
% 54.98/35.15 tff(32898,plain,
% 54.98/35.15 ((~v130(constB161, 2)) | v127(constB161, 2)),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[32897, 1981, 30891])).
% 54.98/35.15 tff(32899,plain,
% 54.98/35.15 (v127(constB161, 2)),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[32898, 32894])).
% 54.98/35.15 tff(32900,plain,
% 54.98/35.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB161, constB162)) | (~v127(constB161, 2)) | v129(constB162, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB161, constB162)) | (~v127(constB161, 2)) | v129(constB162, 2))),
% 54.98/35.15 inference(rewrite,[status(thm)],[])).
% 54.98/35.15 tff(32901,plain,
% 54.98/35.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB161, constB162)) | (~v127(constB161, 2)) | v129(constB162, 2))),
% 54.98/35.15 inference(quant_inst,[status(thm)],[])).
% 54.98/35.15 tff(32902,plain,
% 54.98/35.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB161, constB162)) | (~v127(constB161, 2)) | v129(constB162, 2)),
% 54.98/35.15 inference(modus_ponens,[status(thm)],[32901, 32900])).
% 54.98/35.15 tff(32903,plain,
% 54.98/35.15 ((~v127(constB161, 2)) | v129(constB162, 2)),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[32902, 1999, 30909])).
% 54.98/35.15 tff(32904,plain,
% 54.98/35.15 (v129(constB162, 2)),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[32903, 32899])).
% 54.98/35.15 tff(32905,plain,
% 54.98/35.15 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB162, 2) | (~v129(constB162, 2)) | (~v100(constB162)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB162, 2) | (~v129(constB162, 2)) | (~v100(constB162)))),
% 54.98/35.15 inference(rewrite,[status(thm)],[])).
% 54.98/35.15 tff(32906,plain,
% 54.98/35.15 ((v90(constB162, 2) | (~v100(constB162)) | (~v129(constB162, 2))) <=> (v90(constB162, 2) | (~v129(constB162, 2)) | (~v100(constB162)))),
% 54.98/35.15 inference(rewrite,[status(thm)],[])).
% 54.98/35.15 tff(32907,plain,
% 54.98/35.15 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB162, 2) | (~v100(constB162)) | (~v129(constB162, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB162, 2) | (~v129(constB162, 2)) | (~v100(constB162))))),
% 54.98/35.15 inference(monotonicity,[status(thm)],[32906])).
% 54.98/35.15 tff(32908,plain,
% 54.98/35.15 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB162, 2) | (~v100(constB162)) | (~v129(constB162, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB162, 2) | (~v129(constB162, 2)) | (~v100(constB162)))),
% 54.98/35.15 inference(transitivity,[status(thm)],[32907, 32905])).
% 54.98/35.15 tff(32909,plain,
% 54.98/35.15 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB162, 2) | (~v100(constB162)) | (~v129(constB162, 2)))),
% 54.98/35.15 inference(quant_inst,[status(thm)],[])).
% 54.98/35.15 tff(32910,plain,
% 54.98/35.15 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB162, 2) | (~v129(constB162, 2)) | (~v100(constB162))),
% 54.98/35.15 inference(modus_ponens,[status(thm)],[32909, 32908])).
% 54.98/35.15 tff(32911,plain,
% 54.98/35.15 (v90(constB162, 2) | (~v100(constB162))),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[32910, 2324, 32904])).
% 54.98/35.15 tff(32912,plain,
% 54.98/35.15 (v90(constB162, 2)),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[32911, 32890])).
% 54.98/35.15 tff(32913,plain,
% 54.98/35.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB162, 2)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB162, 2)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, 2))),
% 54.98/35.15 inference(rewrite,[status(thm)],[])).
% 54.98/35.15 tff(32914,plain,
% 54.98/35.15 (((~nextState(constB162, constB163)) | (~v90(constB162, 2)) | v100(constB163) | v90(constB163, 2)) <=> ((~v90(constB162, 2)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, 2))),
% 54.98/35.15 inference(rewrite,[status(thm)],[])).
% 54.98/35.15 tff(32915,plain,
% 54.98/35.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB162, constB163)) | (~v90(constB162, 2)) | v100(constB163) | v90(constB163, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB162, 2)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, 2)))),
% 54.98/35.15 inference(monotonicity,[status(thm)],[32914])).
% 54.98/35.15 tff(32916,plain,
% 54.98/35.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB162, constB163)) | (~v90(constB162, 2)) | v100(constB163) | v90(constB163, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB162, 2)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, 2))),
% 54.98/35.15 inference(transitivity,[status(thm)],[32915, 32913])).
% 54.98/35.15 tff(32917,plain,
% 54.98/35.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB162, constB163)) | (~v90(constB162, 2)) | v100(constB163) | v90(constB163, 2))),
% 54.98/35.15 inference(quant_inst,[status(thm)],[])).
% 54.98/35.15 tff(32918,plain,
% 54.98/35.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB162, 2)) | (~nextState(constB162, constB163)) | v100(constB163) | v90(constB163, 2)),
% 54.98/35.15 inference(modus_ponens,[status(thm)],[32917, 32916])).
% 54.98/35.15 tff(32919,plain,
% 54.98/35.15 ((~v90(constB162, 2)) | v100(constB163) | v90(constB163, 2)),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[32918, 2174, 30968])).
% 54.98/35.15 tff(32920,plain,
% 54.98/35.15 ((~v90(constB162, 2)) | v90(constB163, 2)),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[32919, 30980])).
% 54.98/35.15 tff(32921,plain,
% 54.98/35.15 (v90(constB163, 2)),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[32920, 32912])).
% 54.98/35.15 tff(32922,plain,
% 54.98/35.15 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB161)) | v130(constB161, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB161)) | v130(constB161, 1))),
% 54.98/35.15 inference(rewrite,[status(thm)],[])).
% 54.98/35.15 tff(32923,plain,
% 54.98/35.15 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB161)) | v130(constB161, 1))),
% 54.98/35.15 inference(quant_inst,[status(thm)],[])).
% 54.98/35.15 tff(32924,plain,
% 54.98/35.15 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB161)) | v130(constB161, 1)),
% 54.98/35.15 inference(modus_ponens,[status(thm)],[32923, 32922])).
% 54.98/35.15 tff(32925,plain,
% 54.98/35.15 (v130(constB161, 1)),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[32924, 2808, 32881])).
% 54.98/35.15 tff(32926,plain,
% 54.98/35.15 (v127(constB161, 1)),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[31047, 32925])).
% 54.98/35.15 tff(32927,plain,
% 54.98/35.15 (v129(constB162, 1)),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[31042, 32926])).
% 54.98/35.15 tff(32928,plain,
% 54.98/35.15 (v90(constB162, 1) | (~v100(constB162))),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[31036, 1623, 32927])).
% 54.98/35.15 tff(32929,plain,
% 54.98/35.15 (v90(constB162, 1)),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[32928, 32890])).
% 54.98/35.15 tff(32930,plain,
% 54.98/35.15 (v90(constB163, 1)),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[31062, 32929])).
% 54.98/35.15 tff(32931,plain,
% 54.98/35.15 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB161)) | (~v130(constB161, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB161)) | (~v130(constB161, 0)))),
% 54.98/35.15 inference(rewrite,[status(thm)],[])).
% 54.98/35.15 tff(32932,plain,
% 54.98/35.15 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB161)) | (~v130(constB161, 0)))),
% 54.98/35.15 inference(quant_inst,[status(thm)],[])).
% 54.98/35.15 tff(32933,plain,
% 54.98/35.15 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB161)) | (~v130(constB161, 0))),
% 54.98/35.15 inference(modus_ponens,[status(thm)],[32932, 32931])).
% 54.98/35.15 tff(32934,plain,
% 54.98/35.15 (~v130(constB161, 0)),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[32933, 3274, 32881])).
% 54.98/35.15 tff(32935,plain,
% 54.98/35.15 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB161, 0)) | v26(constB161) | v130(constB161, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB161, 0)) | v26(constB161) | v130(constB161, 0))),
% 54.98/35.15 inference(rewrite,[status(thm)],[])).
% 54.98/35.15 tff(32936,plain,
% 54.98/35.15 ((v26(constB161) | v130(constB161, 0) | (~v127(constB161, 0))) <=> ((~v127(constB161, 0)) | v26(constB161) | v130(constB161, 0))),
% 54.98/35.15 inference(rewrite,[status(thm)],[])).
% 54.98/35.15 tff(32937,plain,
% 54.98/35.15 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB161) | v130(constB161, 0) | (~v127(constB161, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB161, 0)) | v26(constB161) | v130(constB161, 0)))),
% 54.98/35.15 inference(monotonicity,[status(thm)],[32936])).
% 54.98/35.15 tff(32938,plain,
% 54.98/35.15 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB161) | v130(constB161, 0) | (~v127(constB161, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB161, 0)) | v26(constB161) | v130(constB161, 0))),
% 54.98/35.15 inference(transitivity,[status(thm)],[32937, 32935])).
% 54.98/35.15 tff(32939,plain,
% 54.98/35.15 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB161) | v130(constB161, 0) | (~v127(constB161, 0)))),
% 54.98/35.15 inference(quant_inst,[status(thm)],[])).
% 54.98/35.15 tff(32940,plain,
% 54.98/35.15 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB161, 0)) | v26(constB161) | v130(constB161, 0)),
% 54.98/35.15 inference(modus_ponens,[status(thm)],[32939, 32938])).
% 54.98/35.15 tff(32941,plain,
% 54.98/35.15 ((~v127(constB161, 0)) | v130(constB161, 0)),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[32940, 1671, 30891])).
% 54.98/35.15 tff(32942,plain,
% 54.98/35.15 (~v127(constB161, 0)),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[32941, 32934])).
% 54.98/35.15 tff(32943,plain,
% 54.98/35.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB161, constB162)) | v127(constB161, 0) | (~v129(constB162, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB161, constB162)) | v127(constB161, 0) | (~v129(constB162, 0)))),
% 54.98/35.15 inference(rewrite,[status(thm)],[])).
% 54.98/35.15 tff(32944,plain,
% 54.98/35.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB161, constB162)) | v127(constB161, 0) | (~v129(constB162, 0)))),
% 54.98/35.15 inference(quant_inst,[status(thm)],[])).
% 54.98/35.15 tff(32945,plain,
% 54.98/35.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB161, constB162)) | v127(constB161, 0) | (~v129(constB162, 0))),
% 54.98/35.15 inference(modus_ponens,[status(thm)],[32944, 32943])).
% 54.98/35.15 tff(32946,plain,
% 54.98/35.15 (v127(constB161, 0) | (~v129(constB162, 0))),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[32945, 1689, 30909])).
% 54.98/35.15 tff(32947,plain,
% 54.98/35.15 (~v129(constB162, 0)),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[32946, 32942])).
% 54.98/35.15 tff(32948,plain,
% 54.98/35.15 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB162, 0)) | v129(constB162, 0) | (~v100(constB162)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB162, 0)) | v129(constB162, 0) | (~v100(constB162)))),
% 54.98/35.15 inference(rewrite,[status(thm)],[])).
% 54.98/35.15 tff(32949,plain,
% 54.98/35.15 (((~v90(constB162, 0)) | (~v100(constB162)) | v129(constB162, 0)) <=> ((~v90(constB162, 0)) | v129(constB162, 0) | (~v100(constB162)))),
% 54.98/35.15 inference(rewrite,[status(thm)],[])).
% 54.98/35.15 tff(32950,plain,
% 54.98/35.15 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB162, 0)) | (~v100(constB162)) | v129(constB162, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB162, 0)) | v129(constB162, 0) | (~v100(constB162))))),
% 54.98/35.15 inference(monotonicity,[status(thm)],[32949])).
% 54.98/35.15 tff(32951,plain,
% 54.98/35.15 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB162, 0)) | (~v100(constB162)) | v129(constB162, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB162, 0)) | v129(constB162, 0) | (~v100(constB162)))),
% 54.98/35.15 inference(transitivity,[status(thm)],[32950, 32948])).
% 54.98/35.15 tff(32952,plain,
% 54.98/35.15 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB162, 0)) | (~v100(constB162)) | v129(constB162, 0))),
% 54.98/35.15 inference(quant_inst,[status(thm)],[])).
% 54.98/35.15 tff(32953,plain,
% 54.98/35.15 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB162, 0)) | v129(constB162, 0) | (~v100(constB162))),
% 54.98/35.15 inference(modus_ponens,[status(thm)],[32952, 32951])).
% 54.98/35.15 tff(32954,plain,
% 54.98/35.15 ((~v90(constB162, 0)) | (~v100(constB162))),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[32953, 1704, 32947])).
% 54.98/35.15 tff(32955,plain,
% 54.98/35.15 (~v90(constB162, 0)),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[32954, 32890])).
% 54.98/35.15 tff(32956,plain,
% 54.98/35.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB162, 0) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB162, 0) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, 0)))),
% 54.98/35.15 inference(rewrite,[status(thm)],[])).
% 54.98/35.15 tff(32957,plain,
% 54.98/35.15 (((~nextState(constB162, constB163)) | v90(constB162, 0) | v100(constB163) | (~v90(constB163, 0))) <=> (v90(constB162, 0) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, 0)))),
% 54.98/35.15 inference(rewrite,[status(thm)],[])).
% 54.98/35.15 tff(32958,plain,
% 54.98/35.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB162, constB163)) | v90(constB162, 0) | v100(constB163) | (~v90(constB163, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB162, 0) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, 0))))),
% 54.98/35.15 inference(monotonicity,[status(thm)],[32957])).
% 54.98/35.15 tff(32959,plain,
% 54.98/35.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB162, constB163)) | v90(constB162, 0) | v100(constB163) | (~v90(constB163, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB162, 0) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, 0)))),
% 54.98/35.15 inference(transitivity,[status(thm)],[32958, 32956])).
% 54.98/35.15 tff(32960,plain,
% 54.98/35.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB162, constB163)) | v90(constB162, 0) | v100(constB163) | (~v90(constB163, 0)))),
% 54.98/35.15 inference(quant_inst,[status(thm)],[])).
% 54.98/35.15 tff(32961,plain,
% 54.98/35.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB162, 0) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, 0))),
% 54.98/35.15 inference(modus_ponens,[status(thm)],[32960, 32959])).
% 54.98/35.15 tff(32962,plain,
% 54.98/35.15 (v90(constB162, 0) | v100(constB163) | (~v90(constB163, 0))),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[32961, 947, 30968])).
% 54.98/35.15 tff(32963,plain,
% 54.98/35.15 (v90(constB162, 0) | (~v90(constB163, 0))),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[32962, 30980])).
% 54.98/35.15 tff(32964,plain,
% 54.98/35.15 (~v90(constB163, 0)),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[32963, 32955])).
% 54.98/35.15 tff(32965,plain,
% 54.98/35.15 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB163, 0) | (~v90(constB163, 1)) | (~v90(constB163, 2)) | v125(constB163))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB163, 0) | (~v90(constB163, 1)) | (~v90(constB163, 2)) | v125(constB163))),
% 54.98/35.15 inference(rewrite,[status(thm)],[])).
% 54.98/35.15 tff(32966,plain,
% 54.98/35.15 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB163, 0) | (~v90(constB163, 1)) | (~v90(constB163, 2)) | v125(constB163))),
% 54.98/35.15 inference(quant_inst,[status(thm)],[])).
% 54.98/35.15 tff(32967,plain,
% 54.98/35.15 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB163, 0) | (~v90(constB163, 1)) | (~v90(constB163, 2)) | v125(constB163)),
% 54.98/35.15 inference(modus_ponens,[status(thm)],[32966, 32965])).
% 54.98/35.15 tff(32968,plain,
% 54.98/35.15 (v125(constB163)),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[32967, 2279, 32964, 32930, 32921])).
% 54.98/35.15 tff(32969,plain,
% 54.98/35.15 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB163)) | v113(constB163))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB163)) | v113(constB163))),
% 54.98/35.15 inference(rewrite,[status(thm)],[])).
% 54.98/35.15 tff(32970,plain,
% 54.98/35.15 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB163)) | v113(constB163))),
% 54.98/35.15 inference(quant_inst,[status(thm)],[])).
% 54.98/35.15 tff(32971,plain,
% 54.98/35.15 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (~v125(constB163)) | v113(constB163)),
% 54.98/35.15 inference(modus_ponens,[status(thm)],[32970, 32969])).
% 54.98/35.15 tff(32972,plain,
% 54.98/35.15 (v113(constB163)),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[32971, 2262, 32968])).
% 54.98/35.15 tff(32973,plain,
% 54.98/35.15 (v112(constB163)),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[31100, 32972])).
% 54.98/35.15 tff(32974,plain,
% 54.98/35.15 (v108(constB163)),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[31107, 1075, 32973])).
% 54.98/35.15 tff(32975,plain,
% 54.98/35.15 (v110(constB164)),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[31118, 32974])).
% 54.98/35.15 tff(32976,plain,
% 54.98/35.15 (v100(constB164)),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[31141, 32975])).
% 54.98/35.15 tff(32977,plain,
% 54.98/35.15 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB163)) | (~v90(constB163, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB163)) | (~v90(constB163, 1)))),
% 54.98/35.15 inference(rewrite,[status(thm)],[])).
% 54.98/35.15 tff(32978,plain,
% 54.98/35.15 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB163)) | (~v90(constB163, 1)))),
% 54.98/35.15 inference(quant_inst,[status(thm)],[])).
% 54.98/35.15 tff(32979,plain,
% 54.98/35.15 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB163)) | (~v90(constB163, 1))),
% 54.98/35.15 inference(modus_ponens,[status(thm)],[32978, 32977])).
% 54.98/35.15 tff(32980,plain,
% 54.98/35.15 (~v124(constB163)),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[32979, 2890, 32930])).
% 54.98/35.15 tff(32981,plain,
% 54.98/35.15 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB163)) | (~v90(constB163, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB163)) | (~v90(constB163, 1)))),
% 54.98/35.15 inference(rewrite,[status(thm)],[])).
% 54.98/35.15 tff(32982,plain,
% 54.98/35.15 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB163)) | (~v90(constB163, 1)))),
% 54.98/35.15 inference(quant_inst,[status(thm)],[])).
% 54.98/35.15 tff(32983,plain,
% 54.98/35.15 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB163)) | (~v90(constB163, 1))),
% 54.98/35.15 inference(modus_ponens,[status(thm)],[32982, 32981])).
% 54.98/35.15 tff(32984,plain,
% 54.98/35.15 (~v123(constB163)),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[32983, 2879, 32930])).
% 54.98/35.15 tff(32985,plain,
% 54.98/35.15 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB163)) | (~v90(constB163, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB163)) | (~v90(constB163, 1)))),
% 54.98/35.15 inference(rewrite,[status(thm)],[])).
% 54.98/35.15 tff(32986,plain,
% 54.98/35.15 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB163)) | (~v90(constB163, 1)))),
% 54.98/35.15 inference(quant_inst,[status(thm)],[])).
% 54.98/35.15 tff(32987,plain,
% 54.98/35.15 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB163)) | (~v90(constB163, 1))),
% 54.98/35.15 inference(modus_ponens,[status(thm)],[32986, 32985])).
% 54.98/35.15 tff(32988,plain,
% 54.98/35.15 (~v120(constB163)),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[32987, 2846, 32930])).
% 54.98/35.15 tff(32989,plain,
% 54.98/35.15 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB163)) | (~v90(constB163, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB163)) | (~v90(constB163, 1)))),
% 54.98/35.15 inference(rewrite,[status(thm)],[])).
% 54.98/35.15 tff(32990,plain,
% 54.98/35.15 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB163)) | (~v90(constB163, 1)))),
% 54.98/35.15 inference(quant_inst,[status(thm)],[])).
% 54.98/35.15 tff(32991,plain,
% 54.98/35.15 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB163)) | (~v90(constB163, 1))),
% 54.98/35.15 inference(modus_ponens,[status(thm)],[32990, 32989])).
% 54.98/35.15 tff(32992,plain,
% 54.98/35.15 (~v119(constB163)),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[32991, 2868, 32930])).
% 54.98/35.15 tff(32993,plain,
% 54.98/35.15 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB163)) | (~v90(constB163, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB163)) | (~v90(constB163, 2)))),
% 54.98/35.15 inference(rewrite,[status(thm)],[])).
% 54.98/35.15 tff(32994,plain,
% 54.98/35.15 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB163)) | (~v90(constB163, 2)))),
% 54.98/35.15 inference(quant_inst,[status(thm)],[])).
% 54.98/35.15 tff(32995,plain,
% 54.98/35.15 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB163)) | (~v90(constB163, 2))),
% 54.98/35.15 inference(modus_ponens,[status(thm)],[32994, 32993])).
% 54.98/35.15 tff(32996,plain,
% 54.98/35.15 (~v122(constB163)),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[32995, 2797, 32921])).
% 54.98/35.15 tff(32997,assumption,(~v121(constB163)), introduced(assumption)).
% 54.98/35.15 tff(32998,plain,
% 54.98/35.15 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB163) | v120(constB163) | v121(constB163) | v122(constB163) | v123(constB163) | v124(constB163) | (~v130(constB163, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB163) | v120(constB163) | v121(constB163) | v122(constB163) | v123(constB163) | v124(constB163) | (~v130(constB163, 2)))),
% 54.98/35.15 inference(rewrite,[status(thm)],[])).
% 54.98/35.15 tff(32999,plain,
% 54.98/35.15 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB163) | v120(constB163) | v121(constB163) | v122(constB163) | v123(constB163) | v124(constB163) | (~v130(constB163, 2)))),
% 54.98/35.15 inference(quant_inst,[status(thm)],[])).
% 54.98/35.15 tff(33000,plain,
% 54.98/35.15 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB163) | v120(constB163) | v121(constB163) | v122(constB163) | v123(constB163) | v124(constB163) | (~v130(constB163, 2))),
% 54.98/35.15 inference(modus_ponens,[status(thm)],[32999, 32998])).
% 54.98/35.15 tff(33001,plain,
% 54.98/35.15 (v119(constB163) | v120(constB163) | v122(constB163) | v123(constB163) | v124(constB163) | (~v130(constB163, 2))),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[33000, 2904, 32997])).
% 54.98/35.15 tff(33002,plain,
% 54.98/35.15 (~v130(constB163, 2)),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[33001, 32996, 32992, 32988, 32984, 32980])).
% 54.98/35.15 tff(33003,plain,
% 54.98/35.15 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB163, 2)) | v26(constB163) | v130(constB163, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB163, 2)) | v26(constB163) | v130(constB163, 2))),
% 54.98/35.15 inference(rewrite,[status(thm)],[])).
% 54.98/35.15 tff(33004,plain,
% 54.98/35.15 ((v26(constB163) | v130(constB163, 2) | (~v127(constB163, 2))) <=> ((~v127(constB163, 2)) | v26(constB163) | v130(constB163, 2))),
% 54.98/35.15 inference(rewrite,[status(thm)],[])).
% 54.98/35.15 tff(33005,plain,
% 54.98/35.15 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB163) | v130(constB163, 2) | (~v127(constB163, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB163, 2)) | v26(constB163) | v130(constB163, 2)))),
% 54.98/35.15 inference(monotonicity,[status(thm)],[33004])).
% 54.98/35.15 tff(33006,plain,
% 54.98/35.15 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB163) | v130(constB163, 2) | (~v127(constB163, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB163, 2)) | v26(constB163) | v130(constB163, 2))),
% 54.98/35.15 inference(transitivity,[status(thm)],[33005, 33003])).
% 54.98/35.15 tff(33007,plain,
% 54.98/35.15 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB163) | v130(constB163, 2) | (~v127(constB163, 2)))),
% 54.98/35.15 inference(quant_inst,[status(thm)],[])).
% 54.98/35.15 tff(33008,plain,
% 54.98/35.15 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB163, 2)) | v26(constB163) | v130(constB163, 2)),
% 54.98/35.15 inference(modus_ponens,[status(thm)],[33007, 33006])).
% 54.98/35.15 tff(33009,plain,
% 54.98/35.15 ((~v127(constB163, 2)) | v130(constB163, 2)),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[33008, 1190, 31096])).
% 54.98/35.15 tff(33010,plain,
% 54.98/35.15 (~v127(constB163, 2)),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[33009, 33002])).
% 54.98/35.15 tff(33011,plain,
% 54.98/35.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB163, constB164)) | v127(constB163, 2) | (~v129(constB164, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB163, constB164)) | v127(constB163, 2) | (~v129(constB164, 2)))),
% 54.98/35.15 inference(rewrite,[status(thm)],[])).
% 54.98/35.15 tff(33012,plain,
% 54.98/35.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB163, constB164)) | v127(constB163, 2) | (~v129(constB164, 2)))),
% 54.98/35.15 inference(quant_inst,[status(thm)],[])).
% 54.98/35.15 tff(33013,plain,
% 54.98/35.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB163, constB164)) | v127(constB163, 2) | (~v129(constB164, 2))),
% 54.98/35.15 inference(modus_ponens,[status(thm)],[33012, 33011])).
% 54.98/35.15 tff(33014,plain,
% 54.98/35.15 (v127(constB163, 2) | (~v129(constB164, 2))),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[33013, 1208, 31111])).
% 54.98/35.15 tff(33015,plain,
% 54.98/35.15 (~v129(constB164, 2)),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[33014, 33010])).
% 54.98/35.15 tff(33016,plain,
% 54.98/35.15 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB164, 2)) | v129(constB164, 2) | (~v100(constB164)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB164, 2)) | v129(constB164, 2) | (~v100(constB164)))),
% 54.98/35.15 inference(rewrite,[status(thm)],[])).
% 54.98/35.15 tff(33017,plain,
% 54.98/35.15 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB164, 2)) | v129(constB164, 2) | (~v100(constB164)))),
% 54.98/35.15 inference(quant_inst,[status(thm)],[])).
% 54.98/35.15 tff(33018,plain,
% 54.98/35.15 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB164, 2)) | v129(constB164, 2) | (~v100(constB164))),
% 54.98/35.15 inference(modus_ponens,[status(thm)],[33017, 33016])).
% 54.98/35.15 tff(33019,plain,
% 54.98/35.15 ((~v90(constB164, 2)) | (~v100(constB164))),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[33018, 1223, 33015])).
% 54.98/35.15 tff(33020,plain,
% 54.98/35.15 (~v90(constB164, 2)),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[33019, 32976])).
% 54.98/35.15 tff(33021,plain,
% 54.98/35.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB164, 2) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB164, 2) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 2)))),
% 54.98/35.15 inference(rewrite,[status(thm)],[])).
% 54.98/35.15 tff(33022,plain,
% 54.98/35.15 (((~nextState(constB164, constB165)) | v90(constB164, 2) | v100(constB165) | (~v90(constB165, 2))) <=> (v90(constB164, 2) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 2)))),
% 54.98/35.15 inference(rewrite,[status(thm)],[])).
% 54.98/35.15 tff(33023,plain,
% 54.98/35.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB164, constB165)) | v90(constB164, 2) | v100(constB165) | (~v90(constB165, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB164, 2) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 2))))),
% 54.98/35.15 inference(monotonicity,[status(thm)],[33022])).
% 54.98/35.15 tff(33024,plain,
% 54.98/35.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB164, constB165)) | v90(constB164, 2) | v100(constB165) | (~v90(constB165, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB164, 2) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 2)))),
% 54.98/35.15 inference(transitivity,[status(thm)],[33023, 33021])).
% 54.98/35.15 tff(33025,plain,
% 54.98/35.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB164, constB165)) | v90(constB164, 2) | v100(constB165) | (~v90(constB165, 2)))),
% 54.98/35.15 inference(quant_inst,[status(thm)],[])).
% 54.98/35.15 tff(33026,plain,
% 54.98/35.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB164, 2) | (~nextState(constB164, constB165)) | v100(constB165) | (~v90(constB165, 2))),
% 54.98/35.15 inference(modus_ponens,[status(thm)],[33025, 33024])).
% 54.98/35.15 tff(33027,plain,
% 54.98/35.15 (v90(constB164, 2) | v100(constB165) | (~v90(constB165, 2))),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[33026, 905, 31170])).
% 54.98/35.15 tff(33028,plain,
% 54.98/35.15 (v90(constB164, 2) | (~v90(constB165, 2))),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[33027, 31182])).
% 54.98/35.15 tff(33029,plain,
% 54.98/35.15 (~v90(constB165, 2)),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[33028, 33020])).
% 54.98/35.15 tff(33030,plain,
% 54.98/35.15 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB163) | v120(constB163) | v121(constB163) | v122(constB163) | v123(constB163) | v124(constB163) | v130(constB163, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB163) | v120(constB163) | v121(constB163) | v122(constB163) | v123(constB163) | v124(constB163) | v130(constB163, 0))),
% 54.98/35.15 inference(rewrite,[status(thm)],[])).
% 54.98/35.15 tff(33031,plain,
% 54.98/35.15 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB163) | v120(constB163) | v121(constB163) | v122(constB163) | v123(constB163) | v124(constB163) | v130(constB163, 0))),
% 54.98/35.15 inference(quant_inst,[status(thm)],[])).
% 54.98/35.15 tff(33032,plain,
% 54.98/35.15 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB163) | v120(constB163) | v121(constB163) | v122(constB163) | v123(constB163) | v124(constB163) | v130(constB163, 0)),
% 54.98/35.15 inference(modus_ponens,[status(thm)],[33031, 33030])).
% 54.98/35.15 tff(33033,plain,
% 54.98/35.15 (v119(constB163) | v120(constB163) | v122(constB163) | v123(constB163) | v124(constB163) | v130(constB163, 0)),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[33032, 3413, 32997])).
% 54.98/35.15 tff(33034,plain,
% 54.98/35.15 (v130(constB163, 0)),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[33033, 32996, 32992, 32988, 32984, 32980])).
% 54.98/35.15 tff(33035,plain,
% 54.98/35.15 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB163) | (~v130(constB163, 0)) | v127(constB163, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB163) | (~v130(constB163, 0)) | v127(constB163, 0))),
% 54.98/35.15 inference(rewrite,[status(thm)],[])).
% 54.98/35.15 tff(33036,plain,
% 54.98/35.15 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB163) | (~v130(constB163, 0)) | v127(constB163, 0))),
% 54.98/35.15 inference(quant_inst,[status(thm)],[])).
% 54.98/35.15 tff(33037,plain,
% 54.98/35.15 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB163) | (~v130(constB163, 0)) | v127(constB163, 0)),
% 54.98/35.15 inference(modus_ponens,[status(thm)],[33036, 33035])).
% 54.98/35.15 tff(33038,plain,
% 54.98/35.15 ((~v130(constB163, 0)) | v127(constB163, 0)),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[33037, 1347, 31096])).
% 54.98/35.15 tff(33039,plain,
% 54.98/35.15 (v127(constB163, 0)),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[33038, 33034])).
% 54.98/35.15 tff(33040,plain,
% 54.98/35.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB163, constB164)) | (~v127(constB163, 0)) | v129(constB164, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB163, constB164)) | (~v127(constB163, 0)) | v129(constB164, 0))),
% 54.98/35.15 inference(rewrite,[status(thm)],[])).
% 54.98/35.15 tff(33041,plain,
% 54.98/35.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB163, constB164)) | (~v127(constB163, 0)) | v129(constB164, 0))),
% 54.98/35.15 inference(quant_inst,[status(thm)],[])).
% 54.98/35.15 tff(33042,plain,
% 54.98/35.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB163, constB164)) | (~v127(constB163, 0)) | v129(constB164, 0)),
% 54.98/35.15 inference(modus_ponens,[status(thm)],[33041, 33040])).
% 54.98/35.15 tff(33043,plain,
% 54.98/35.15 ((~v127(constB163, 0)) | v129(constB164, 0)),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[33042, 1362, 31111])).
% 54.98/35.15 tff(33044,plain,
% 54.98/35.15 (v129(constB164, 0)),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[33043, 33039])).
% 54.98/35.15 tff(33045,plain,
% 54.98/35.15 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB164, 0) | (~v129(constB164, 0)) | (~v100(constB164)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB164, 0) | (~v129(constB164, 0)) | (~v100(constB164)))),
% 54.98/35.15 inference(rewrite,[status(thm)],[])).
% 54.98/35.15 tff(33046,plain,
% 54.98/35.15 ((v90(constB164, 0) | (~v100(constB164)) | (~v129(constB164, 0))) <=> (v90(constB164, 0) | (~v129(constB164, 0)) | (~v100(constB164)))),
% 54.98/35.15 inference(rewrite,[status(thm)],[])).
% 54.98/35.15 tff(33047,plain,
% 54.98/35.15 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB164, 0) | (~v100(constB164)) | (~v129(constB164, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB164, 0) | (~v129(constB164, 0)) | (~v100(constB164))))),
% 54.98/35.15 inference(monotonicity,[status(thm)],[33046])).
% 54.98/35.15 tff(33048,plain,
% 54.98/35.15 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB164, 0) | (~v100(constB164)) | (~v129(constB164, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB164, 0) | (~v129(constB164, 0)) | (~v100(constB164)))),
% 54.98/35.15 inference(transitivity,[status(thm)],[33047, 33045])).
% 54.98/35.15 tff(33049,plain,
% 54.98/35.15 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB164, 0) | (~v100(constB164)) | (~v129(constB164, 0)))),
% 54.98/35.15 inference(quant_inst,[status(thm)],[])).
% 54.98/35.15 tff(33050,plain,
% 54.98/35.15 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB164, 0) | (~v129(constB164, 0)) | (~v100(constB164))),
% 54.98/35.15 inference(modus_ponens,[status(thm)],[33049, 33048])).
% 54.98/35.15 tff(33051,plain,
% 54.98/35.15 (v90(constB164, 0) | (~v100(constB164))),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[33050, 1377, 33044])).
% 54.98/35.15 tff(33052,plain,
% 54.98/35.15 (v90(constB164, 0)),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[33051, 32976])).
% 54.98/35.15 tff(33053,plain,
% 54.98/35.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB164, 0)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB164, 0)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, 0))),
% 54.98/35.15 inference(rewrite,[status(thm)],[])).
% 54.98/35.15 tff(33054,plain,
% 54.98/35.15 (((~nextState(constB164, constB165)) | (~v90(constB164, 0)) | v100(constB165) | v90(constB165, 0)) <=> ((~v90(constB164, 0)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, 0))),
% 54.98/35.15 inference(rewrite,[status(thm)],[])).
% 54.98/35.15 tff(33055,plain,
% 54.98/35.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB164, constB165)) | (~v90(constB164, 0)) | v100(constB165) | v90(constB165, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB164, 0)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, 0)))),
% 54.98/35.15 inference(monotonicity,[status(thm)],[33054])).
% 54.98/35.15 tff(33056,plain,
% 54.98/35.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB164, constB165)) | (~v90(constB164, 0)) | v100(constB165) | v90(constB165, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB164, 0)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, 0))),
% 54.98/35.15 inference(transitivity,[status(thm)],[33055, 33053])).
% 54.98/35.15 tff(33057,plain,
% 54.98/35.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB164, constB165)) | (~v90(constB164, 0)) | v100(constB165) | v90(constB165, 0))),
% 54.98/35.15 inference(quant_inst,[status(thm)],[])).
% 54.98/35.15 tff(33058,plain,
% 54.98/35.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB164, 0)) | (~nextState(constB164, constB165)) | v100(constB165) | v90(constB165, 0)),
% 54.98/35.15 inference(modus_ponens,[status(thm)],[33057, 33056])).
% 54.98/35.15 tff(33059,plain,
% 54.98/35.15 ((~v90(constB164, 0)) | v100(constB165) | v90(constB165, 0)),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[33058, 1395, 31170])).
% 54.98/35.15 tff(33060,plain,
% 54.98/35.15 ((~v90(constB164, 0)) | v90(constB165, 0)),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[33059, 31182])).
% 54.98/35.15 tff(33061,plain,
% 54.98/35.15 (v90(constB165, 0)),
% 54.98/35.15 inference(unit_resolution,[status(thm)],[33060, 33052])).
% 54.98/35.15 tff(33062,plain,
% 54.98/35.15 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB163) | v120(constB163) | v121(constB163) | v122(constB163) | v123(constB163) | v124(constB163) | (~v130(constB163, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB163) | v120(constB163) | v121(constB163) | v122(constB163) | v123(constB163) | v124(constB163) | (~v130(constB163, 1)))),
% 54.98/35.15 inference(rewrite,[status(thm)],[])).
% 54.98/35.15 tff(33063,plain,
% 54.98/35.15 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB163) | v120(constB163) | v121(constB163) | v122(constB163) | v123(constB163) | v124(constB163) | (~v130(constB163, 1)))),
% 54.98/35.16 inference(quant_inst,[status(thm)],[])).
% 54.98/35.16 tff(33064,plain,
% 54.98/35.16 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB163) | v120(constB163) | v121(constB163) | v122(constB163) | v123(constB163) | v124(constB163) | (~v130(constB163, 1))),
% 54.98/35.16 inference(modus_ponens,[status(thm)],[33063, 33062])).
% 54.98/35.16 tff(33065,plain,
% 54.98/35.16 (v119(constB163) | v120(constB163) | v122(constB163) | v123(constB163) | v124(constB163) | (~v130(constB163, 1))),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33064, 3309, 32997])).
% 54.98/35.16 tff(33066,plain,
% 54.98/35.16 (~v130(constB163, 1)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33065, 32996, 32992, 32988, 32984, 32980])).
% 54.98/35.16 tff(33067,plain,
% 54.98/35.16 (~v127(constB163, 1)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[31202, 33066])).
% 54.98/35.16 tff(33068,plain,
% 54.98/35.16 (~v129(constB164, 1)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[31207, 33067])).
% 54.98/35.16 tff(33069,plain,
% 54.98/35.16 ((~v90(constB164, 1)) | (~v100(constB164))),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[31214, 1309, 33068])).
% 54.98/35.16 tff(33070,plain,
% 54.98/35.16 (~v90(constB164, 1)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33069, 32976])).
% 54.98/35.16 tff(33071,plain,
% 54.98/35.16 (~v90(constB165, 1)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[31224, 33070])).
% 54.98/35.16 tff(33072,assumption,(~v120(constB165)), introduced(assumption)).
% 54.98/35.16 tff(33073,plain,
% 54.98/35.16 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB165, 0)) | v90(constB165, 1) | v90(constB165, 2) | v120(constB165))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB165, 0)) | v90(constB165, 1) | v90(constB165, 2) | v120(constB165))),
% 54.98/35.16 inference(rewrite,[status(thm)],[])).
% 54.98/35.16 tff(33074,plain,
% 54.98/35.16 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB165, 0)) | v90(constB165, 1) | v90(constB165, 2) | v120(constB165))),
% 54.98/35.16 inference(quant_inst,[status(thm)],[])).
% 54.98/35.16 tff(33075,plain,
% 54.98/35.16 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB165, 0)) | v90(constB165, 1) | v90(constB165, 2) | v120(constB165)),
% 54.98/35.16 inference(modus_ponens,[status(thm)],[33074, 33073])).
% 54.98/35.16 tff(33076,plain,
% 54.98/35.16 ((~v90(constB165, 0)) | v90(constB165, 1) | v90(constB165, 2)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33075, 1414, 33072])).
% 54.98/35.16 tff(33077,plain,
% 54.98/35.16 ($false),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33076, 33071, 33061, 33029])).
% 54.98/35.16 tff(33078,plain,((~v124(constB161)) | v120(constB165) | v121(constB163)), inference(lemma,lemma(discharge,[]))).
% 54.98/35.16 tff(33079,plain,
% 54.98/35.16 (~v124(constB161)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33078, 32880, 32876])).
% 54.98/35.16 tff(33080,plain,
% 54.98/35.16 (v90(constB162, 1)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[31053, 30644])).
% 54.98/35.16 tff(33081,plain,
% 54.98/35.16 (v90(constB163, 1)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[31062, 33080])).
% 54.98/35.16 tff(33082,plain,
% 54.98/35.16 (~v124(constB163)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[32979, 2890, 33081])).
% 54.98/35.16 tff(33083,assumption,(v123(constB161)), introduced(assumption)).
% 54.98/35.16 tff(33084,plain,
% 54.98/35.16 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB161)) | v115(constB161))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB161)) | v115(constB161))),
% 54.98/35.16 inference(rewrite,[status(thm)],[])).
% 54.98/35.16 tff(33085,plain,
% 54.98/35.16 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB161)) | v115(constB161))),
% 54.98/35.16 inference(quant_inst,[status(thm)],[])).
% 54.98/35.16 tff(33086,plain,
% 54.98/35.16 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB161)) | v115(constB161)),
% 54.98/35.16 inference(modus_ponens,[status(thm)],[33085, 33084])).
% 54.98/35.16 tff(33087,plain,
% 54.98/35.16 (v115(constB161)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33086, 2291, 33083])).
% 54.98/35.16 tff(33088,plain,
% 54.98/35.16 (v114(constB161)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[30879, 1035, 33087])).
% 54.98/35.16 tff(33089,plain,
% 54.98/35.16 (v113(constB161)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[30886, 1049, 33088])).
% 54.98/35.16 tff(33090,plain,
% 54.98/35.16 (v112(constB161)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[30898, 33089])).
% 54.98/35.16 tff(33091,plain,
% 54.98/35.16 (v108(constB161)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[30905, 1075, 33090])).
% 54.98/35.16 tff(33092,plain,
% 54.98/35.16 (v110(constB162)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[30916, 33091])).
% 54.98/35.16 tff(33093,plain,
% 54.98/35.16 (v100(constB162)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[30939, 33092])).
% 54.98/35.16 tff(33094,plain,
% 54.98/35.16 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB161)) | v130(constB161, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB161)) | v130(constB161, 2))),
% 54.98/35.16 inference(rewrite,[status(thm)],[])).
% 54.98/35.16 tff(33095,plain,
% 54.98/35.16 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB161)) | v130(constB161, 2))),
% 54.98/35.16 inference(quant_inst,[status(thm)],[])).
% 54.98/35.16 tff(33096,plain,
% 54.98/35.16 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB161)) | v130(constB161, 2)),
% 54.98/35.16 inference(modus_ponens,[status(thm)],[33095, 33094])).
% 54.98/35.16 tff(33097,plain,
% 54.98/35.16 (v130(constB161, 2)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33096, 2525, 33083])).
% 54.98/35.16 tff(33098,plain,
% 54.98/35.16 (v127(constB161, 2)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[32898, 33097])).
% 54.98/35.16 tff(33099,plain,
% 54.98/35.16 (v129(constB162, 2)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[32903, 33098])).
% 54.98/35.16 tff(33100,plain,
% 54.98/35.16 (v90(constB162, 2) | (~v100(constB162))),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[32910, 2324, 33099])).
% 54.98/35.16 tff(33101,plain,
% 54.98/35.16 (v90(constB162, 2)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33100, 33093])).
% 54.98/35.16 tff(33102,plain,
% 54.98/35.16 (v90(constB163, 2)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[32920, 33101])).
% 54.98/35.16 tff(33103,plain,
% 54.98/35.16 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB161)) | v130(constB161, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB161)) | v130(constB161, 0))),
% 54.98/35.16 inference(rewrite,[status(thm)],[])).
% 54.98/35.16 tff(33104,plain,
% 54.98/35.16 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB161)) | v130(constB161, 0))),
% 54.98/35.16 inference(quant_inst,[status(thm)],[])).
% 54.98/35.16 tff(33105,plain,
% 54.98/35.16 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB161)) | v130(constB161, 0)),
% 54.98/35.16 inference(modus_ponens,[status(thm)],[33104, 33103])).
% 54.98/35.16 tff(33106,plain,
% 54.98/35.16 (v130(constB161, 0)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33105, 2622, 33083])).
% 54.98/35.16 tff(33107,plain,
% 54.98/35.16 (v127(constB161, 0)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[30948, 33106])).
% 54.98/35.16 tff(33108,plain,
% 54.98/35.16 (v129(constB162, 0)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[30953, 33107])).
% 54.98/35.16 tff(33109,plain,
% 54.98/35.16 (v90(constB162, 0) | (~v100(constB162))),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[30960, 1377, 33108])).
% 54.98/35.16 tff(33110,plain,
% 54.98/35.16 (v90(constB162, 0)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33109, 33093])).
% 54.98/35.16 tff(33111,plain,
% 54.98/35.16 (v90(constB163, 0)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[30988, 33110])).
% 54.98/35.16 tff(33112,plain,
% 54.98/35.16 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB161)) | (~v130(constB161, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB161)) | (~v130(constB161, 1)))),
% 54.98/35.16 inference(rewrite,[status(thm)],[])).
% 54.98/35.16 tff(33113,plain,
% 54.98/35.16 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB161)) | (~v130(constB161, 1)))),
% 54.98/35.16 inference(quant_inst,[status(thm)],[])).
% 54.98/35.16 tff(33114,plain,
% 54.98/35.16 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB161)) | (~v130(constB161, 1))),
% 54.98/35.16 inference(modus_ponens,[status(thm)],[33113, 33112])).
% 54.98/35.16 tff(33115,plain,
% 54.98/35.16 (~v130(constB161, 1)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33114, 2581, 33083])).
% 54.98/35.16 tff(33116,plain,
% 54.98/35.16 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB161, 1)) | v26(constB161) | v130(constB161, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB161, 1)) | v26(constB161) | v130(constB161, 1))),
% 54.98/35.16 inference(rewrite,[status(thm)],[])).
% 54.98/35.16 tff(33117,plain,
% 54.98/35.16 ((v26(constB161) | v130(constB161, 1) | (~v127(constB161, 1))) <=> ((~v127(constB161, 1)) | v26(constB161) | v130(constB161, 1))),
% 54.98/35.16 inference(rewrite,[status(thm)],[])).
% 54.98/35.16 tff(33118,plain,
% 54.98/35.16 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB161) | v130(constB161, 1) | (~v127(constB161, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB161, 1)) | v26(constB161) | v130(constB161, 1)))),
% 54.98/35.16 inference(monotonicity,[status(thm)],[33117])).
% 54.98/35.16 tff(33119,plain,
% 54.98/35.16 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB161) | v130(constB161, 1) | (~v127(constB161, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB161, 1)) | v26(constB161) | v130(constB161, 1))),
% 54.98/35.16 inference(transitivity,[status(thm)],[33118, 33116])).
% 54.98/35.16 tff(33120,plain,
% 54.98/35.16 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB161) | v130(constB161, 1) | (~v127(constB161, 1)))),
% 54.98/35.16 inference(quant_inst,[status(thm)],[])).
% 54.98/35.16 tff(33121,plain,
% 54.98/35.16 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB161, 1)) | v26(constB161) | v130(constB161, 1)),
% 54.98/35.16 inference(modus_ponens,[status(thm)],[33120, 33119])).
% 54.98/35.16 tff(33122,plain,
% 54.98/35.16 ((~v127(constB161, 1)) | v130(constB161, 1)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33121, 1276, 30891])).
% 54.98/35.16 tff(33123,plain,
% 54.98/35.16 (~v127(constB161, 1)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33122, 33115])).
% 54.98/35.16 tff(33124,plain,
% 54.98/35.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB161, constB162)) | v127(constB161, 1) | (~v129(constB162, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB161, constB162)) | v127(constB161, 1) | (~v129(constB162, 1)))),
% 54.98/35.16 inference(rewrite,[status(thm)],[])).
% 54.98/35.16 tff(33125,plain,
% 54.98/35.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB161, constB162)) | v127(constB161, 1) | (~v129(constB162, 1)))),
% 54.98/35.16 inference(quant_inst,[status(thm)],[])).
% 54.98/35.16 tff(33126,plain,
% 54.98/35.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB161, constB162)) | v127(constB161, 1) | (~v129(constB162, 1))),
% 54.98/35.16 inference(modus_ponens,[status(thm)],[33125, 33124])).
% 54.98/35.16 tff(33127,plain,
% 54.98/35.16 (v127(constB161, 1) | (~v129(constB162, 1))),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33126, 1294, 30909])).
% 54.98/35.16 tff(33128,plain,
% 54.98/35.16 (~v129(constB162, 1)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33127, 33123])).
% 54.98/35.16 tff(33129,plain,
% 54.98/35.16 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB162, 1)) | v129(constB162, 1) | (~v100(constB162)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB162, 1)) | v129(constB162, 1) | (~v100(constB162)))),
% 54.98/35.16 inference(rewrite,[status(thm)],[])).
% 54.98/35.16 tff(33130,plain,
% 54.98/35.16 (((~v90(constB162, 1)) | (~v100(constB162)) | v129(constB162, 1)) <=> ((~v90(constB162, 1)) | v129(constB162, 1) | (~v100(constB162)))),
% 54.98/35.16 inference(rewrite,[status(thm)],[])).
% 54.98/35.16 tff(33131,plain,
% 54.98/35.16 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB162, 1)) | (~v100(constB162)) | v129(constB162, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB162, 1)) | v129(constB162, 1) | (~v100(constB162))))),
% 54.98/35.16 inference(monotonicity,[status(thm)],[33130])).
% 54.98/35.16 tff(33132,plain,
% 54.98/35.16 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB162, 1)) | (~v100(constB162)) | v129(constB162, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB162, 1)) | v129(constB162, 1) | (~v100(constB162)))),
% 54.98/35.16 inference(transitivity,[status(thm)],[33131, 33129])).
% 54.98/35.16 tff(33133,plain,
% 54.98/35.16 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB162, 1)) | (~v100(constB162)) | v129(constB162, 1))),
% 54.98/35.16 inference(quant_inst,[status(thm)],[])).
% 54.98/35.16 tff(33134,plain,
% 54.98/35.16 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB162, 1)) | v129(constB162, 1) | (~v100(constB162))),
% 54.98/35.16 inference(modus_ponens,[status(thm)],[33133, 33132])).
% 54.98/35.16 tff(33135,plain,
% 54.98/35.16 ((~v90(constB162, 1)) | (~v100(constB162))),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33134, 1309, 33128])).
% 54.98/35.16 tff(33136,plain,
% 54.98/35.16 (~v90(constB162, 1)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33135, 33093])).
% 54.98/35.16 tff(33137,plain,
% 54.98/35.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB162, 1) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB162, 1) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, 1)))),
% 54.98/35.16 inference(rewrite,[status(thm)],[])).
% 54.98/35.16 tff(33138,plain,
% 54.98/35.16 (((~nextState(constB162, constB163)) | v90(constB162, 1) | v100(constB163) | (~v90(constB163, 1))) <=> (v90(constB162, 1) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, 1)))),
% 54.98/35.16 inference(rewrite,[status(thm)],[])).
% 54.98/35.16 tff(33139,plain,
% 54.98/35.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB162, constB163)) | v90(constB162, 1) | v100(constB163) | (~v90(constB163, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB162, 1) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, 1))))),
% 54.98/35.16 inference(monotonicity,[status(thm)],[33138])).
% 54.98/35.16 tff(33140,plain,
% 54.98/35.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB162, constB163)) | v90(constB162, 1) | v100(constB163) | (~v90(constB163, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB162, 1) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, 1)))),
% 54.98/35.16 inference(transitivity,[status(thm)],[33139, 33137])).
% 54.98/35.16 tff(33141,plain,
% 54.98/35.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB162, constB163)) | v90(constB162, 1) | v100(constB163) | (~v90(constB163, 1)))),
% 54.98/35.16 inference(quant_inst,[status(thm)],[])).
% 54.98/35.16 tff(33142,plain,
% 54.98/35.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB162, 1) | (~nextState(constB162, constB163)) | v100(constB163) | (~v90(constB163, 1))),
% 54.98/35.16 inference(modus_ponens,[status(thm)],[33141, 33140])).
% 54.98/35.16 tff(33143,plain,
% 54.98/35.16 (v90(constB162, 1) | v100(constB163) | (~v90(constB163, 1))),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33142, 926, 30968])).
% 54.98/35.16 tff(33144,plain,
% 54.98/35.16 (v90(constB162, 1) | (~v90(constB163, 1))),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33143, 30980])).
% 54.98/35.16 tff(33145,plain,
% 54.98/35.16 (~v90(constB163, 1)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33144, 33136])).
% 54.98/35.16 tff(33146,assumption,(~v124(constB163)), introduced(assumption)).
% 54.98/35.16 tff(33147,plain,
% 54.98/35.16 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB163, 0)) | v90(constB163, 1) | (~v90(constB163, 2)) | v124(constB163))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB163, 0)) | v90(constB163, 1) | (~v90(constB163, 2)) | v124(constB163))),
% 54.98/35.16 inference(rewrite,[status(thm)],[])).
% 54.98/35.16 tff(33148,plain,
% 54.98/35.16 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB163, 0)) | v90(constB163, 1) | (~v90(constB163, 2)) | v124(constB163))),
% 54.98/35.16 inference(quant_inst,[status(thm)],[])).
% 54.98/35.16 tff(33149,plain,
% 54.98/35.16 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB163, 0)) | v90(constB163, 1) | (~v90(constB163, 2)) | v124(constB163)),
% 54.98/35.16 inference(modus_ponens,[status(thm)],[33148, 33147])).
% 54.98/35.16 tff(33150,plain,
% 54.98/35.16 ((~v90(constB163, 0)) | v90(constB163, 1) | (~v90(constB163, 2))),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33149, 2663, 33146])).
% 54.98/35.16 tff(33151,plain,
% 54.98/35.16 ($false),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33150, 33145, 33111, 33102])).
% 54.98/35.16 tff(33152,plain,((~v123(constB161)) | v124(constB163)), inference(lemma,lemma(discharge,[]))).
% 54.98/35.16 tff(33153,plain,
% 54.98/35.16 (~v123(constB161)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33152, 33082])).
% 54.98/35.16 tff(33154,assumption,(v120(constB161)), introduced(assumption)).
% 54.98/35.16 tff(33155,plain,
% 54.98/35.16 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB161) | (~v120(constB161)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB161) | (~v120(constB161)))),
% 54.98/35.16 inference(rewrite,[status(thm)],[])).
% 54.98/35.16 tff(33156,plain,
% 54.98/35.16 (((~v120(constB161)) | v118(constB161)) <=> (v118(constB161) | (~v120(constB161)))),
% 54.98/35.16 inference(rewrite,[status(thm)],[])).
% 54.98/35.16 tff(33157,plain,
% 54.98/35.16 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB161)) | v118(constB161))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB161) | (~v120(constB161))))),
% 54.98/35.16 inference(monotonicity,[status(thm)],[33156])).
% 54.98/35.16 tff(33158,plain,
% 54.98/35.16 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB161)) | v118(constB161))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB161) | (~v120(constB161)))),
% 54.98/35.16 inference(transitivity,[status(thm)],[33157, 33155])).
% 54.98/35.16 tff(33159,plain,
% 54.98/35.16 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB161)) | v118(constB161))),
% 54.98/35.16 inference(quant_inst,[status(thm)],[])).
% 54.98/35.16 tff(33160,plain,
% 54.98/35.16 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB161) | (~v120(constB161))),
% 54.98/35.16 inference(modus_ponens,[status(thm)],[33159, 33158])).
% 54.98/35.16 tff(33161,plain,
% 54.98/35.16 (v118(constB161)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33160, 1425, 33154])).
% 54.98/35.16 tff(33162,plain,
% 54.98/35.16 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB161) | (~v118(constB161)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB161) | (~v118(constB161)))),
% 54.98/35.16 inference(rewrite,[status(thm)],[])).
% 54.98/35.16 tff(33163,plain,
% 54.98/35.16 (((~v118(constB161)) | v117(constB161)) <=> (v117(constB161) | (~v118(constB161)))),
% 54.98/35.16 inference(rewrite,[status(thm)],[])).
% 54.98/35.16 tff(33164,plain,
% 54.98/35.16 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB161)) | v117(constB161))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB161) | (~v118(constB161))))),
% 54.98/35.16 inference(monotonicity,[status(thm)],[33163])).
% 54.98/35.16 tff(33165,plain,
% 54.98/35.16 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB161)) | v117(constB161))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB161) | (~v118(constB161)))),
% 54.98/35.16 inference(transitivity,[status(thm)],[33164, 33162])).
% 54.98/35.16 tff(33166,plain,
% 54.98/35.16 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB161)) | v117(constB161))),
% 54.98/35.16 inference(quant_inst,[status(thm)],[])).
% 54.98/35.16 tff(33167,plain,
% 54.98/35.16 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB161) | (~v118(constB161))),
% 54.98/35.16 inference(modus_ponens,[status(thm)],[33166, 33165])).
% 54.98/35.16 tff(33168,plain,
% 54.98/35.16 (v117(constB161)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33167, 993, 33161])).
% 54.98/35.16 tff(33169,plain,
% 54.98/35.16 (v116(constB161)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[30865, 1007, 33168])).
% 54.98/35.16 tff(33170,plain,
% 54.98/35.16 (v115(constB161)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[30872, 1021, 33169])).
% 54.98/35.16 tff(33171,plain,
% 54.98/35.16 (v114(constB161)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[30879, 1035, 33170])).
% 54.98/35.16 tff(33172,plain,
% 54.98/35.16 (v113(constB161)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[30886, 1049, 33171])).
% 54.98/35.16 tff(33173,plain,
% 54.98/35.16 (v112(constB161)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[30898, 33172])).
% 54.98/35.16 tff(33174,plain,
% 54.98/35.16 (v108(constB161)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[30905, 1075, 33173])).
% 54.98/35.16 tff(33175,plain,
% 54.98/35.16 (v110(constB162)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[30916, 33174])).
% 54.98/35.16 tff(33176,plain,
% 54.98/35.16 (v100(constB162)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[30939, 33175])).
% 54.98/35.16 tff(33177,plain,
% 54.98/35.16 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB161)) | (~v130(constB161, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB161)) | (~v130(constB161, 2)))),
% 54.98/35.16 inference(rewrite,[status(thm)],[])).
% 54.98/35.16 tff(33178,plain,
% 54.98/35.16 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB161)) | (~v130(constB161, 2)))),
% 54.98/35.16 inference(quant_inst,[status(thm)],[])).
% 54.98/35.16 tff(33179,plain,
% 54.98/35.16 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB161)) | (~v130(constB161, 2))),
% 54.98/35.16 inference(modus_ponens,[status(thm)],[33178, 33177])).
% 54.98/35.16 tff(33180,plain,
% 54.98/35.16 (~v130(constB161, 2)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33179, 1523, 33154])).
% 54.98/35.16 tff(33181,plain,
% 54.98/35.16 (~v127(constB161, 2)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[31000, 33180])).
% 54.98/35.16 tff(33182,plain,
% 54.98/35.16 (~v129(constB162, 2)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[31005, 33181])).
% 54.98/35.16 tff(33183,plain,
% 54.98/35.16 ((~v90(constB162, 2)) | (~v100(constB162))),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[31009, 1223, 33182])).
% 54.98/35.16 tff(33184,plain,
% 54.98/35.16 (~v90(constB162, 2)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33183, 33176])).
% 54.98/35.16 tff(33185,plain,
% 54.98/35.16 (~v90(constB163, 2)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[31019, 33184])).
% 54.98/35.16 tff(33186,plain,
% 54.98/35.16 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB161)) | v130(constB161, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB161)) | v130(constB161, 1))),
% 54.98/35.16 inference(rewrite,[status(thm)],[])).
% 54.98/35.16 tff(33187,plain,
% 54.98/35.16 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB161)) | v130(constB161, 1))),
% 54.98/35.16 inference(quant_inst,[status(thm)],[])).
% 54.98/35.16 tff(33188,plain,
% 54.98/35.16 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB161)) | v130(constB161, 1)),
% 54.98/35.16 inference(modus_ponens,[status(thm)],[33187, 33186])).
% 54.98/35.16 tff(33189,plain,
% 54.98/35.16 (v130(constB161, 1)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33188, 1579, 33154])).
% 54.98/35.16 tff(33190,plain,
% 54.98/35.16 (v127(constB161, 1)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[31047, 33189])).
% 54.98/35.16 tff(33191,plain,
% 54.98/35.16 (v129(constB162, 1)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[31042, 33190])).
% 54.98/35.16 tff(33192,plain,
% 54.98/35.16 (v90(constB162, 1) | (~v100(constB162))),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[31036, 1623, 33191])).
% 54.98/35.16 tff(33193,plain,
% 54.98/35.16 (v90(constB162, 1)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33192, 33176])).
% 54.98/35.16 tff(33194,plain,
% 54.98/35.16 (v90(constB163, 1)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[31062, 33193])).
% 54.98/35.16 tff(33195,plain,
% 54.98/35.16 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB161)) | (~v130(constB161, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB161)) | (~v130(constB161, 0)))),
% 54.98/35.16 inference(rewrite,[status(thm)],[])).
% 54.98/35.16 tff(33196,plain,
% 54.98/35.16 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB161)) | (~v130(constB161, 0)))),
% 54.98/35.16 inference(quant_inst,[status(thm)],[])).
% 54.98/35.16 tff(33197,plain,
% 54.98/35.16 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB161)) | (~v130(constB161, 0))),
% 54.98/35.16 inference(modus_ponens,[status(thm)],[33196, 33195])).
% 54.98/35.16 tff(33198,plain,
% 54.98/35.16 (~v130(constB161, 0)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33197, 1657, 33154])).
% 54.98/35.16 tff(33199,plain,
% 54.98/35.16 (~v127(constB161, 0)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[32941, 33198])).
% 54.98/35.16 tff(33200,plain,
% 54.98/35.16 (~v129(constB162, 0)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[32946, 33199])).
% 54.98/35.16 tff(33201,plain,
% 54.98/35.16 ((~v90(constB162, 0)) | (~v100(constB162))),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[32953, 1704, 33200])).
% 54.98/35.16 tff(33202,plain,
% 54.98/35.16 (~v90(constB162, 0)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33201, 33176])).
% 54.98/35.16 tff(33203,plain,
% 54.98/35.16 (~v90(constB163, 0)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[32963, 33202])).
% 54.98/35.16 tff(33204,plain,
% 54.98/35.16 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB163, 0) | (~v90(constB163, 1)) | v90(constB163, 2) | v121(constB163))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB163, 0) | (~v90(constB163, 1)) | v90(constB163, 2) | v121(constB163))),
% 54.98/35.16 inference(rewrite,[status(thm)],[])).
% 54.98/35.16 tff(33205,plain,
% 54.98/35.16 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB163, 0) | (~v90(constB163, 1)) | v90(constB163, 2) | v121(constB163))),
% 54.98/35.16 inference(quant_inst,[status(thm)],[])).
% 54.98/35.16 tff(33206,plain,
% 54.98/35.16 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB163, 0) | (~v90(constB163, 1)) | v90(constB163, 2) | v121(constB163)),
% 54.98/35.16 inference(modus_ponens,[status(thm)],[33205, 33204])).
% 54.98/35.16 tff(33207,plain,
% 54.98/35.16 (v90(constB163, 0) | (~v90(constB163, 1)) | v90(constB163, 2)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33206, 1731, 32997])).
% 54.98/35.16 tff(33208,plain,
% 54.98/35.16 ($false),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33207, 33203, 33194, 33185])).
% 54.98/35.16 tff(33209,plain,((~v120(constB161)) | v121(constB163)), inference(lemma,lemma(discharge,[]))).
% 54.98/35.16 tff(33210,plain,
% 54.98/35.16 (~v120(constB161)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33209, 32880])).
% 54.98/35.16 tff(33211,assumption,(~v120(constB161)), introduced(assumption)).
% 54.98/35.16 tff(33212,assumption,(~v90(constB161, 1)), introduced(assumption)).
% 54.98/35.16 tff(33213,plain,
% 54.98/35.16 (~v90(constB160, 1)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[30813, 33212])).
% 54.98/35.16 tff(33214,assumption,(~v90(constB161, 2)), introduced(assumption)).
% 54.98/35.16 tff(33215,plain,
% 54.98/35.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB160, 2)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB160, 2)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, 2))),
% 54.98/35.16 inference(rewrite,[status(thm)],[])).
% 54.98/35.16 tff(33216,plain,
% 54.98/35.16 (((~nextState(constB160, constB161)) | (~v90(constB160, 2)) | v100(constB161) | v90(constB161, 2)) <=> ((~v90(constB160, 2)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, 2))),
% 54.98/35.16 inference(rewrite,[status(thm)],[])).
% 54.98/35.16 tff(33217,plain,
% 54.98/35.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB160, constB161)) | (~v90(constB160, 2)) | v100(constB161) | v90(constB161, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB160, 2)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, 2)))),
% 54.98/35.16 inference(monotonicity,[status(thm)],[33216])).
% 54.98/35.16 tff(33218,plain,
% 54.98/35.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB160, constB161)) | (~v90(constB160, 2)) | v100(constB161) | v90(constB161, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB160, 2)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, 2))),
% 54.98/35.16 inference(transitivity,[status(thm)],[33217, 33215])).
% 54.98/35.16 tff(33219,plain,
% 54.98/35.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB160, constB161)) | (~v90(constB160, 2)) | v100(constB161) | v90(constB161, 2))),
% 54.98/35.16 inference(quant_inst,[status(thm)],[])).
% 54.98/35.16 tff(33220,plain,
% 54.98/35.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB160, 2)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, 2)),
% 54.98/35.16 inference(modus_ponens,[status(thm)],[33219, 33218])).
% 54.98/35.16 tff(33221,plain,
% 54.98/35.16 ((~v90(constB160, 2)) | v100(constB161) | v90(constB161, 2)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33220, 2174, 30762])).
% 54.98/35.16 tff(33222,plain,
% 54.98/35.16 ((~v90(constB160, 2)) | v90(constB161, 2)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33221, 30774])).
% 54.98/35.16 tff(33223,plain,
% 54.98/35.16 (~v90(constB160, 2)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33222, 33214])).
% 54.98/35.16 tff(33224,plain,
% 54.98/35.16 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB161, 0)) | v90(constB161, 1) | v90(constB161, 2) | v120(constB161))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB161, 0)) | v90(constB161, 1) | v90(constB161, 2) | v120(constB161))),
% 54.98/35.16 inference(rewrite,[status(thm)],[])).
% 54.98/35.16 tff(33225,plain,
% 54.98/35.16 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB161, 0)) | v90(constB161, 1) | v90(constB161, 2) | v120(constB161))),
% 54.98/35.16 inference(quant_inst,[status(thm)],[])).
% 54.98/35.16 tff(33226,plain,
% 54.98/35.16 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB161, 0)) | v90(constB161, 1) | v90(constB161, 2) | v120(constB161)),
% 54.98/35.16 inference(modus_ponens,[status(thm)],[33225, 33224])).
% 54.98/35.16 tff(33227,plain,
% 54.98/35.16 ((~v90(constB161, 0)) | v90(constB161, 2) | v120(constB161)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33226, 1414, 33212])).
% 54.98/35.16 tff(33228,plain,
% 54.98/35.16 (~v90(constB161, 0)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33227, 33214, 33211])).
% 54.98/35.16 tff(33229,plain,
% 54.98/35.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB160, 0)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB160, 0)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, 0))),
% 54.98/35.16 inference(rewrite,[status(thm)],[])).
% 54.98/35.16 tff(33230,plain,
% 54.98/35.16 (((~nextState(constB160, constB161)) | (~v90(constB160, 0)) | v100(constB161) | v90(constB161, 0)) <=> ((~v90(constB160, 0)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, 0))),
% 54.98/35.16 inference(rewrite,[status(thm)],[])).
% 54.98/35.16 tff(33231,plain,
% 54.98/35.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB160, constB161)) | (~v90(constB160, 0)) | v100(constB161) | v90(constB161, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB160, 0)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, 0)))),
% 54.98/35.16 inference(monotonicity,[status(thm)],[33230])).
% 54.98/35.16 tff(33232,plain,
% 54.98/35.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB160, constB161)) | (~v90(constB160, 0)) | v100(constB161) | v90(constB161, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB160, 0)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, 0))),
% 54.98/35.16 inference(transitivity,[status(thm)],[33231, 33229])).
% 54.98/35.16 tff(33233,plain,
% 54.98/35.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB160, constB161)) | (~v90(constB160, 0)) | v100(constB161) | v90(constB161, 0))),
% 54.98/35.16 inference(quant_inst,[status(thm)],[])).
% 54.98/35.16 tff(33234,plain,
% 54.98/35.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB160, 0)) | (~nextState(constB160, constB161)) | v100(constB161) | v90(constB161, 0)),
% 54.98/35.16 inference(modus_ponens,[status(thm)],[33233, 33232])).
% 54.98/35.16 tff(33235,plain,
% 54.98/35.16 ((~v90(constB160, 0)) | v100(constB161) | v90(constB161, 0)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33234, 1395, 30762])).
% 54.98/35.16 tff(33236,plain,
% 54.98/35.16 ((~v90(constB160, 0)) | v90(constB161, 0)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33235, 30774])).
% 54.98/35.16 tff(33237,plain,
% 54.98/35.16 (~v90(constB160, 0)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33236, 33228])).
% 54.98/35.16 tff(33238,assumption,(v90(constB159, 0)), introduced(assumption)).
% 54.98/35.16 tff(33239,plain,
% 54.98/35.16 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v119(constB159)) | (~v90(constB159, 0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | (~v119(constB159)) | (~v90(constB159, 0)))),
% 54.98/35.16 inference(rewrite,[status(thm)],[])).
% 54.98/35.16 tff(33240,plain,
% 54.98/35.16 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v119(constB159)) | (~v90(constB159, 0)))),
% 54.98/35.16 inference(quant_inst,[status(thm)],[])).
% 54.98/35.16 tff(33241,plain,
% 54.98/35.16 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | (~v119(constB159)) | (~v90(constB159, 0))),
% 54.98/35.16 inference(modus_ponens,[status(thm)],[33240, 33239])).
% 54.98/35.16 tff(33242,plain,
% 54.98/35.16 (~v119(constB159)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33241, 5865, 33238])).
% 54.98/35.16 tff(33243,assumption,(~v90(constB160, 0)), introduced(assumption)).
% 54.98/35.16 tff(33244,plain,
% 54.98/35.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB159, 0)) | (~nextState(constB159, constB160)) | v100(constB160) | v90(constB160, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB159, 0)) | (~nextState(constB159, constB160)) | v100(constB160) | v90(constB160, 0))),
% 54.98/35.16 inference(rewrite,[status(thm)],[])).
% 54.98/35.16 tff(33245,plain,
% 54.98/35.16 (((~nextState(constB159, constB160)) | (~v90(constB159, 0)) | v100(constB160) | v90(constB160, 0)) <=> ((~v90(constB159, 0)) | (~nextState(constB159, constB160)) | v100(constB160) | v90(constB160, 0))),
% 54.98/35.16 inference(rewrite,[status(thm)],[])).
% 54.98/35.16 tff(33246,plain,
% 54.98/35.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB159, constB160)) | (~v90(constB159, 0)) | v100(constB160) | v90(constB160, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB159, 0)) | (~nextState(constB159, constB160)) | v100(constB160) | v90(constB160, 0)))),
% 54.98/35.16 inference(monotonicity,[status(thm)],[33245])).
% 54.98/35.16 tff(33247,plain,
% 54.98/35.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB159, constB160)) | (~v90(constB159, 0)) | v100(constB160) | v90(constB160, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB159, 0)) | (~nextState(constB159, constB160)) | v100(constB160) | v90(constB160, 0))),
% 54.98/35.16 inference(transitivity,[status(thm)],[33246, 33244])).
% 54.98/35.16 tff(33248,plain,
% 54.98/35.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB159, constB160)) | (~v90(constB159, 0)) | v100(constB160) | v90(constB160, 0))),
% 54.98/35.16 inference(quant_inst,[status(thm)],[])).
% 54.98/35.16 tff(33249,plain,
% 54.98/35.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB159, 0)) | (~nextState(constB159, constB160)) | v100(constB160) | v90(constB160, 0)),
% 54.98/35.16 inference(modus_ponens,[status(thm)],[33248, 33247])).
% 54.98/35.16 tff(33250,plain,
% 54.98/35.16 ((~v90(constB159, 0)) | v100(constB160) | v90(constB160, 0)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33249, 1395, 30700])).
% 54.98/35.16 tff(33251,plain,
% 54.98/35.16 (v100(constB160)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33250, 33238, 33243])).
% 54.98/35.16 tff(33252,assumption,(~v90(constB160, 1)), introduced(assumption)).
% 54.98/35.16 tff(33253,plain,
% 54.98/35.16 ((~v129(constB160, 1)) | (~v100(constB160))),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[30803, 1623, 33252])).
% 54.98/35.16 tff(33254,plain,
% 54.98/35.16 (~v129(constB160, 1)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33253, 33251])).
% 54.98/35.16 tff(33255,plain,
% 54.98/35.16 (~v127(constB159, 1)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[30796, 33254])).
% 54.98/35.16 tff(33256,plain,
% 54.98/35.16 (~v130(constB159, 1)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[30791, 33255])).
% 54.98/35.16 tff(33257,plain,
% 54.98/35.16 (~v120(constB159)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[30786, 1579, 33256])).
% 54.98/35.16 tff(33258,plain,
% 54.98/35.16 (~v121(constB159)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[29294, 5876, 33238])).
% 54.98/35.16 tff(33259,assumption,(~v90(constB160, 2)), introduced(assumption)).
% 54.98/35.16 tff(33260,plain,
% 54.98/35.16 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB160, 2) | (~v129(constB160, 2)) | (~v100(constB160)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB160, 2) | (~v129(constB160, 2)) | (~v100(constB160)))),
% 54.98/35.16 inference(rewrite,[status(thm)],[])).
% 54.98/35.16 tff(33261,plain,
% 54.98/35.16 ((v90(constB160, 2) | (~v100(constB160)) | (~v129(constB160, 2))) <=> (v90(constB160, 2) | (~v129(constB160, 2)) | (~v100(constB160)))),
% 54.98/35.16 inference(rewrite,[status(thm)],[])).
% 54.98/35.16 tff(33262,plain,
% 54.98/35.16 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB160, 2) | (~v100(constB160)) | (~v129(constB160, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB160, 2) | (~v129(constB160, 2)) | (~v100(constB160))))),
% 54.98/35.16 inference(monotonicity,[status(thm)],[33261])).
% 54.98/35.16 tff(33263,plain,
% 54.98/35.16 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB160, 2) | (~v100(constB160)) | (~v129(constB160, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB160, 2) | (~v129(constB160, 2)) | (~v100(constB160)))),
% 54.98/35.16 inference(transitivity,[status(thm)],[33262, 33260])).
% 54.98/35.16 tff(33264,plain,
% 54.98/35.16 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB160, 2) | (~v100(constB160)) | (~v129(constB160, 2)))),
% 54.98/35.16 inference(quant_inst,[status(thm)],[])).
% 54.98/35.16 tff(33265,plain,
% 54.98/35.16 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB160, 2) | (~v129(constB160, 2)) | (~v100(constB160))),
% 54.98/35.16 inference(modus_ponens,[status(thm)],[33264, 33263])).
% 54.98/35.16 tff(33266,plain,
% 54.98/35.16 ((~v129(constB160, 2)) | (~v100(constB160))),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33265, 2324, 33259])).
% 54.98/35.16 tff(33267,plain,
% 54.98/35.16 (~v129(constB160, 2)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33266, 33251])).
% 54.98/35.16 tff(33268,plain,
% 54.98/35.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB159, constB160)) | (~v127(constB159, 2)) | v129(constB160, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB159, constB160)) | (~v127(constB159, 2)) | v129(constB160, 2))),
% 54.98/35.16 inference(rewrite,[status(thm)],[])).
% 54.98/35.16 tff(33269,plain,
% 54.98/35.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB159, constB160)) | (~v127(constB159, 2)) | v129(constB160, 2))),
% 54.98/35.16 inference(quant_inst,[status(thm)],[])).
% 54.98/35.16 tff(33270,plain,
% 54.98/35.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB159, constB160)) | (~v127(constB159, 2)) | v129(constB160, 2)),
% 54.98/35.16 inference(modus_ponens,[status(thm)],[33269, 33268])).
% 54.98/35.16 tff(33271,plain,
% 54.98/35.16 ((~v127(constB159, 2)) | v129(constB160, 2)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33270, 1999, 30700])).
% 54.98/35.16 tff(33272,plain,
% 54.98/35.16 (~v127(constB159, 2)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33271, 33267])).
% 54.98/35.16 tff(33273,plain,
% 54.98/35.16 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB159) | (~v130(constB159, 2)) | v127(constB159, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB159) | (~v130(constB159, 2)) | v127(constB159, 2))),
% 54.98/35.16 inference(rewrite,[status(thm)],[])).
% 54.98/35.16 tff(33274,plain,
% 54.98/35.16 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB159) | (~v130(constB159, 2)) | v127(constB159, 2))),
% 54.98/35.16 inference(quant_inst,[status(thm)],[])).
% 54.98/35.16 tff(33275,plain,
% 54.98/35.16 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB159) | (~v130(constB159, 2)) | v127(constB159, 2)),
% 54.98/35.16 inference(modus_ponens,[status(thm)],[33274, 33273])).
% 54.98/35.16 tff(33276,plain,
% 54.98/35.16 ((~v130(constB159, 2)) | v127(constB159, 2)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33275, 1981, 30685])).
% 54.98/35.16 tff(33277,plain,
% 54.98/35.16 (~v130(constB159, 2)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33276, 33272])).
% 54.98/35.16 tff(33278,plain,
% 54.98/35.16 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB159)) | v130(constB159, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB159)) | v130(constB159, 2))),
% 54.98/35.16 inference(rewrite,[status(thm)],[])).
% 54.98/35.16 tff(33279,plain,
% 54.98/35.16 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB159)) | v130(constB159, 2))),
% 54.98/35.16 inference(quant_inst,[status(thm)],[])).
% 54.98/35.16 tff(33280,plain,
% 54.98/35.16 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB159)) | v130(constB159, 2)),
% 54.98/35.16 inference(modus_ponens,[status(thm)],[33279, 33278])).
% 54.98/35.16 tff(33281,plain,
% 54.98/35.16 (~v122(constB159)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33280, 1967, 33277])).
% 54.98/35.16 tff(33282,plain,
% 54.98/35.16 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v123(constB159)) | (~v90(constB159, 0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | (~v123(constB159)) | (~v90(constB159, 0)))),
% 54.98/35.16 inference(rewrite,[status(thm)],[])).
% 54.98/35.16 tff(33283,plain,
% 54.98/35.16 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v123(constB159)) | (~v90(constB159, 0)))),
% 54.98/35.16 inference(quant_inst,[status(thm)],[])).
% 54.98/35.16 tff(33284,plain,
% 54.98/35.16 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | (~v123(constB159)) | (~v90(constB159, 0))),
% 54.98/35.16 inference(modus_ponens,[status(thm)],[33283, 33282])).
% 54.98/35.16 tff(33285,plain,
% 54.98/35.16 (~v123(constB159)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33284, 5887, 33238])).
% 54.98/35.16 tff(33286,plain,
% 54.98/35.16 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB159)) | v130(constB159, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB159)) | v130(constB159, 1))),
% 54.98/35.16 inference(rewrite,[status(thm)],[])).
% 54.98/35.16 tff(33287,plain,
% 54.98/35.16 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB159)) | v130(constB159, 1))),
% 54.98/35.16 inference(quant_inst,[status(thm)],[])).
% 54.98/35.16 tff(33288,plain,
% 54.98/35.16 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB159)) | v130(constB159, 1)),
% 54.98/35.16 inference(modus_ponens,[status(thm)],[33287, 33286])).
% 54.98/35.16 tff(33289,plain,
% 54.98/35.16 (~v124(constB159)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33288, 2808, 33256])).
% 54.98/35.16 tff(33290,plain,
% 54.98/35.16 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB160, 0) | (~v129(constB160, 0)) | (~v100(constB160)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB160, 0) | (~v129(constB160, 0)) | (~v100(constB160)))),
% 54.98/35.16 inference(rewrite,[status(thm)],[])).
% 54.98/35.16 tff(33291,plain,
% 54.98/35.16 ((v90(constB160, 0) | (~v100(constB160)) | (~v129(constB160, 0))) <=> (v90(constB160, 0) | (~v129(constB160, 0)) | (~v100(constB160)))),
% 54.98/35.16 inference(rewrite,[status(thm)],[])).
% 54.98/35.16 tff(33292,plain,
% 54.98/35.16 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB160, 0) | (~v100(constB160)) | (~v129(constB160, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB160, 0) | (~v129(constB160, 0)) | (~v100(constB160))))),
% 54.98/35.16 inference(monotonicity,[status(thm)],[33291])).
% 54.98/35.16 tff(33293,plain,
% 54.98/35.16 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB160, 0) | (~v100(constB160)) | (~v129(constB160, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB160, 0) | (~v129(constB160, 0)) | (~v100(constB160)))),
% 54.98/35.16 inference(transitivity,[status(thm)],[33292, 33290])).
% 54.98/35.16 tff(33294,plain,
% 54.98/35.16 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB160, 0) | (~v100(constB160)) | (~v129(constB160, 0)))),
% 54.98/35.16 inference(quant_inst,[status(thm)],[])).
% 54.98/35.16 tff(33295,plain,
% 54.98/35.16 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB160, 0) | (~v129(constB160, 0)) | (~v100(constB160))),
% 54.98/35.16 inference(modus_ponens,[status(thm)],[33294, 33293])).
% 54.98/35.16 tff(33296,plain,
% 54.98/35.16 ((~v129(constB160, 0)) | (~v100(constB160))),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33295, 1377, 33243])).
% 54.98/35.16 tff(33297,plain,
% 54.98/35.16 (~v129(constB160, 0)),
% 54.98/35.16 inference(unit_resolution,[status(thm)],[33296, 33251])).
% 54.98/35.16 tff(33298,plain,
% 54.98/35.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB159, constB160)) | (~v127(constB159, 0)) | v129(constB160, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB159, constB160)) | (~v127(constB159, 0)) | v129(constB160, 0))),
% 54.98/35.16 inference(rewrite,[status(thm)],[])).
% 54.98/35.16 tff(33299,plain,
% 54.98/35.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB159, constB160)) | (~v127(constB159, 0)) | v129(constB160, 0))),
% 54.98/35.16 inference(quant_inst,[status(thm)],[])).
% 54.98/35.16 tff(33300,plain,
% 54.98/35.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB159, constB160)) | (~v127(constB159, 0)) | v129(constB160, 0)),
% 54.98/35.16 inference(modus_ponens,[status(thm)],[33299, 33298])).
% 54.98/35.16 tff(33301,plain,
% 54.98/35.16 ((~v127(constB159, 0)) | v129(constB160, 0)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33300, 1362, 30700])).
% 54.98/35.17 tff(33302,plain,
% 54.98/35.17 (~v127(constB159, 0)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33301, 33297])).
% 54.98/35.17 tff(33303,plain,
% 54.98/35.17 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB159) | (~v130(constB159, 0)) | v127(constB159, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB159) | (~v130(constB159, 0)) | v127(constB159, 0))),
% 54.98/35.17 inference(rewrite,[status(thm)],[])).
% 54.98/35.17 tff(33304,plain,
% 54.98/35.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB159) | (~v130(constB159, 0)) | v127(constB159, 0))),
% 54.98/35.17 inference(quant_inst,[status(thm)],[])).
% 54.98/35.17 tff(33305,plain,
% 54.98/35.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB159) | (~v130(constB159, 0)) | v127(constB159, 0)),
% 54.98/35.17 inference(modus_ponens,[status(thm)],[33304, 33303])).
% 54.98/35.17 tff(33306,plain,
% 54.98/35.17 ((~v130(constB159, 0)) | v127(constB159, 0)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33305, 1347, 30685])).
% 54.98/35.17 tff(33307,plain,
% 54.98/35.17 (~v130(constB159, 0)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33306, 33302])).
% 54.98/35.17 tff(33308,plain,
% 54.98/35.17 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB159) | v120(constB159) | v121(constB159) | v122(constB159) | v123(constB159) | v124(constB159) | v130(constB159, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB159) | v120(constB159) | v121(constB159) | v122(constB159) | v123(constB159) | v124(constB159) | v130(constB159, 0))),
% 54.98/35.17 inference(rewrite,[status(thm)],[])).
% 54.98/35.17 tff(33309,plain,
% 54.98/35.17 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB159) | v120(constB159) | v121(constB159) | v122(constB159) | v123(constB159) | v124(constB159) | v130(constB159, 0))),
% 54.98/35.17 inference(quant_inst,[status(thm)],[])).
% 54.98/35.17 tff(33310,plain,
% 54.98/35.17 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB159) | v120(constB159) | v121(constB159) | v122(constB159) | v123(constB159) | v124(constB159) | v130(constB159, 0)),
% 54.98/35.17 inference(modus_ponens,[status(thm)],[33309, 33308])).
% 54.98/35.17 tff(33311,plain,
% 54.98/35.17 ($false),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33310, 3413, 33307, 33289, 33285, 33281, 33258, 33257, 33242])).
% 54.98/35.17 tff(33312,plain,((~v90(constB159, 0)) | v90(constB160, 0) | v90(constB160, 2) | v90(constB160, 1)), inference(lemma,lemma(discharge,[]))).
% 54.98/35.17 tff(33313,plain,
% 54.98/35.17 (~v90(constB159, 0)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33312, 33237, 33223, 33213])).
% 54.98/35.17 tff(33314,plain,
% 54.98/35.17 (~v90(constB158, 0)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[29290, 33313])).
% 54.98/35.17 tff(33315,plain,
% 54.98/35.17 (v100(constB158)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[29263, 33314])).
% 54.98/35.17 tff(33316,assumption,(v119(constB157)), introduced(assumption)).
% 54.98/35.17 tff(33317,plain,
% 54.98/35.17 (v118(constB157)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[29225, 982, 33316])).
% 54.98/35.17 tff(33318,plain,
% 54.98/35.17 (v117(constB157)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[29218, 993, 33317])).
% 54.98/35.17 tff(33319,plain,
% 54.98/35.17 (v116(constB157)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[29195, 1007, 33318])).
% 54.98/35.17 tff(33320,plain,
% 54.98/35.17 (v115(constB157)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[29188, 1021, 33319])).
% 54.98/35.17 tff(33321,plain,
% 54.98/35.17 (v114(constB157)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[29174, 1035, 33320])).
% 54.98/35.17 tff(33322,plain,
% 54.98/35.17 (v113(constB157)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[29167, 1049, 33321])).
% 54.98/35.17 tff(33323,plain,
% 54.98/35.17 (v112(constB157)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[29310, 33322])).
% 54.98/35.17 tff(33324,plain,
% 54.98/35.17 (v108(constB157)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[29149, 1075, 33323])).
% 54.98/35.17 tff(33325,plain,
% 54.98/35.17 (v110(constB158)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[29142, 33324])).
% 54.98/35.17 tff(33326,plain,
% 54.98/35.17 (v100(constB158)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[29134, 33325])).
% 54.98/35.17 tff(33327,plain,
% 54.98/35.17 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB157)) | (~v130(constB157, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB157)) | (~v130(constB157, 2)))),
% 54.98/35.17 inference(rewrite,[status(thm)],[])).
% 54.98/35.17 tff(33328,plain,
% 54.98/35.17 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB157)) | (~v130(constB157, 2)))),
% 54.98/35.17 inference(quant_inst,[status(thm)],[])).
% 54.98/35.17 tff(33329,plain,
% 54.98/35.17 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB157)) | (~v130(constB157, 2))),
% 54.98/35.17 inference(modus_ponens,[status(thm)],[33328, 33327])).
% 54.98/35.17 tff(33330,plain,
% 54.98/35.17 (~v130(constB157, 2)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33329, 1176, 33316])).
% 54.98/35.17 tff(33331,plain,
% 54.98/35.17 (~v127(constB157, 2)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[29325, 33330])).
% 54.98/35.17 tff(33332,plain,
% 54.98/35.17 (~v129(constB158, 2)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[29330, 33331])).
% 54.98/35.17 tff(33333,plain,
% 54.98/35.17 ((~v90(constB158, 2)) | (~v100(constB158))),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[29334, 1223, 33332])).
% 54.98/35.17 tff(33334,plain,
% 54.98/35.17 (~v90(constB158, 2)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33333, 33326])).
% 54.98/35.17 tff(33335,plain,
% 54.98/35.17 (~v90(constB159, 2)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[29344, 33334])).
% 54.98/35.17 tff(33336,plain,
% 54.98/35.17 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB157)) | (~v130(constB157, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB157)) | (~v130(constB157, 1)))),
% 54.98/35.17 inference(rewrite,[status(thm)],[])).
% 54.98/35.17 tff(33337,plain,
% 54.98/35.17 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB157)) | (~v130(constB157, 1)))),
% 54.98/35.17 inference(quant_inst,[status(thm)],[])).
% 54.98/35.17 tff(33338,plain,
% 54.98/35.17 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB157)) | (~v130(constB157, 1))),
% 54.98/35.17 inference(modus_ponens,[status(thm)],[33337, 33336])).
% 54.98/35.17 tff(33339,plain,
% 54.98/35.17 (~v130(constB157, 1)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33338, 1262, 33316])).
% 54.98/35.17 tff(33340,plain,
% 54.98/35.17 (~v127(constB157, 1)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[29695, 33339])).
% 54.98/35.17 tff(33341,plain,
% 54.98/35.17 (~v129(constB158, 1)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[29687, 33340])).
% 54.98/35.17 tff(33342,plain,
% 54.98/35.17 ((~v90(constB158, 1)) | (~v100(constB158))),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[29681, 1309, 33341])).
% 54.98/35.17 tff(33343,plain,
% 54.98/35.17 (~v90(constB158, 1)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33342, 33326])).
% 54.98/35.17 tff(33344,plain,
% 54.98/35.17 (~v90(constB159, 1)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[30635, 33343])).
% 54.98/35.17 tff(33345,plain,
% 54.98/35.17 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB157)) | v130(constB157, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB157)) | v130(constB157, 0))),
% 54.98/35.17 inference(rewrite,[status(thm)],[])).
% 54.98/35.17 tff(33346,plain,
% 54.98/35.17 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB157)) | v130(constB157, 0))),
% 54.98/35.17 inference(quant_inst,[status(thm)],[])).
% 54.98/35.17 tff(33347,plain,
% 54.98/35.17 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB157)) | v130(constB157, 0)),
% 54.98/35.17 inference(modus_ponens,[status(thm)],[33346, 33345])).
% 54.98/35.17 tff(33348,plain,
% 54.98/35.17 (v130(constB157, 0)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33347, 1333, 33316])).
% 54.98/35.17 tff(33349,plain,
% 54.98/35.17 (v127(constB157, 0)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[30604, 33348])).
% 54.98/35.17 tff(33350,plain,
% 54.98/35.17 (v129(constB158, 0)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[30609, 33349])).
% 54.98/35.17 tff(33351,plain,
% 54.98/35.17 (v90(constB158, 0) | (~v100(constB158))),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[30616, 1377, 33350])).
% 54.98/35.17 tff(33352,plain,
% 54.98/35.17 (v90(constB158, 0)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33351, 33326])).
% 54.98/35.17 tff(33353,plain,
% 54.98/35.17 (v90(constB159, 0)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[29290, 33352])).
% 54.98/35.17 tff(33354,plain,
% 54.98/35.17 (v120(constB159)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[30640, 1414, 33353, 33344, 33335])).
% 54.98/35.17 tff(33355,plain,
% 54.98/35.17 (v100(constB160)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33250, 33353, 33243])).
% 54.98/35.17 tff(33356,plain,
% 54.98/35.17 (~v129(constB160, 1)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33253, 33355])).
% 54.98/35.17 tff(33357,plain,
% 54.98/35.17 (~v127(constB159, 1)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[30796, 33356])).
% 54.98/35.17 tff(33358,plain,
% 54.98/35.17 (~v130(constB159, 1)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[30791, 33357])).
% 54.98/35.17 tff(33359,plain,
% 54.98/35.17 ($false),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[30786, 1579, 33358, 33354])).
% 54.98/35.17 tff(33360,plain,((~v119(constB157)) | v90(constB160, 1) | v90(constB160, 0)), inference(lemma,lemma(discharge,[]))).
% 54.98/35.17 tff(33361,plain,
% 54.98/35.17 (~v119(constB157)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33360, 33237, 33213])).
% 54.98/35.17 tff(33362,plain,
% 54.98/35.17 (~v129(constB158, 0)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[30616, 1377, 33315, 33314])).
% 54.98/35.17 tff(33363,plain,
% 54.98/35.17 (~v127(constB157, 0)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[30609, 33362])).
% 54.98/35.17 tff(33364,plain,
% 54.98/35.17 (~v130(constB157, 0)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[30604, 33363])).
% 54.98/35.17 tff(33365,assumption,(~v100(constB160)), introduced(assumption)).
% 54.98/35.17 tff(33366,plain,
% 54.98/35.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB159, 1)) | (~nextState(constB159, constB160)) | v100(constB160) | v90(constB160, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB159, 1)) | (~nextState(constB159, constB160)) | v100(constB160) | v90(constB160, 1))),
% 54.98/35.17 inference(rewrite,[status(thm)],[])).
% 54.98/35.17 tff(33367,plain,
% 54.98/35.17 (((~nextState(constB159, constB160)) | (~v90(constB159, 1)) | v100(constB160) | v90(constB160, 1)) <=> ((~v90(constB159, 1)) | (~nextState(constB159, constB160)) | v100(constB160) | v90(constB160, 1))),
% 54.98/35.17 inference(rewrite,[status(thm)],[])).
% 54.98/35.17 tff(33368,plain,
% 54.98/35.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB159, constB160)) | (~v90(constB159, 1)) | v100(constB160) | v90(constB160, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB159, 1)) | (~nextState(constB159, constB160)) | v100(constB160) | v90(constB160, 1)))),
% 54.98/35.17 inference(monotonicity,[status(thm)],[33367])).
% 54.98/35.17 tff(33369,plain,
% 54.98/35.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB159, constB160)) | (~v90(constB159, 1)) | v100(constB160) | v90(constB160, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB159, 1)) | (~nextState(constB159, constB160)) | v100(constB160) | v90(constB160, 1))),
% 54.98/35.17 inference(transitivity,[status(thm)],[33368, 33366])).
% 54.98/35.17 tff(33370,plain,
% 54.98/35.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB159, constB160)) | (~v90(constB159, 1)) | v100(constB160) | v90(constB160, 1))),
% 54.98/35.17 inference(quant_inst,[status(thm)],[])).
% 54.98/35.17 tff(33371,plain,
% 54.98/35.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB159, 1)) | (~nextState(constB159, constB160)) | v100(constB160) | v90(constB160, 1)),
% 54.98/35.17 inference(modus_ponens,[status(thm)],[33370, 33369])).
% 54.98/35.17 tff(33372,plain,
% 54.98/35.17 ((~v90(constB159, 1)) | v100(constB160) | v90(constB160, 1)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33371, 1641, 30700])).
% 54.98/35.17 tff(33373,plain,
% 54.98/35.17 (~v90(constB159, 1)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33372, 33365, 33252])).
% 54.98/35.17 tff(33374,plain,
% 54.98/35.17 (~v90(constB158, 1)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[29375, 33373])).
% 54.98/35.17 tff(33375,plain,
% 54.98/35.17 (v90(constB158, 1) | (~v129(constB158, 1))),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[29365, 1623, 30593])).
% 54.98/35.17 tff(33376,plain,
% 54.98/35.17 (~v129(constB158, 1)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33375, 33374])).
% 54.98/35.17 tff(33377,plain,
% 54.98/35.17 (~v127(constB157, 1)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[29358, 33376])).
% 54.98/35.17 tff(33378,plain,
% 54.98/35.17 (~v130(constB157, 1)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[29353, 33377])).
% 54.98/35.17 tff(33379,plain,
% 54.98/35.17 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB157)) | v130(constB157, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB157)) | v130(constB157, 1))),
% 54.98/35.17 inference(rewrite,[status(thm)],[])).
% 54.98/35.17 tff(33380,plain,
% 54.98/35.17 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB157)) | v130(constB157, 1))),
% 54.98/35.17 inference(quant_inst,[status(thm)],[])).
% 54.98/35.17 tff(33381,plain,
% 54.98/35.17 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB157)) | v130(constB157, 1)),
% 54.98/35.17 inference(modus_ponens,[status(thm)],[33380, 33379])).
% 54.98/35.17 tff(33382,plain,
% 54.98/35.17 (~v124(constB157)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33381, 2808, 33378])).
% 54.98/35.17 tff(33383,assumption,(~v130(constB157, 0)), introduced(assumption)).
% 54.98/35.17 tff(33384,plain,
% 54.98/35.17 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB157)) | v130(constB157, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB157)) | v130(constB157, 0))),
% 54.98/35.17 inference(rewrite,[status(thm)],[])).
% 54.98/35.17 tff(33385,plain,
% 54.98/35.17 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB157)) | v130(constB157, 0))),
% 54.98/35.17 inference(quant_inst,[status(thm)],[])).
% 54.98/35.17 tff(33386,plain,
% 54.98/35.17 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB157)) | v130(constB157, 0)),
% 54.98/35.17 inference(modus_ponens,[status(thm)],[33385, 33384])).
% 54.98/35.17 tff(33387,plain,
% 54.98/35.17 (~v123(constB157)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33386, 2622, 33383])).
% 54.98/35.17 tff(33388,plain,
% 54.98/35.17 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB157)) | v130(constB157, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB157)) | v130(constB157, 0))),
% 54.98/35.17 inference(rewrite,[status(thm)],[])).
% 54.98/35.17 tff(33389,plain,
% 54.98/35.17 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB157)) | v130(constB157, 0))),
% 54.98/35.17 inference(quant_inst,[status(thm)],[])).
% 54.98/35.17 tff(33390,plain,
% 54.98/35.17 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB157)) | v130(constB157, 0)),
% 54.98/35.17 inference(modus_ponens,[status(thm)],[33389, 33388])).
% 54.98/35.17 tff(33391,plain,
% 54.98/35.17 (~v121(constB157)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33390, 1915, 33383])).
% 54.98/35.17 tff(33392,plain,
% 54.98/35.17 (~v120(constB157)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[29348, 1579, 33378])).
% 54.98/35.17 tff(33393,plain,
% 54.98/35.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB159, 2)) | (~nextState(constB159, constB160)) | v100(constB160) | v90(constB160, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB159, 2)) | (~nextState(constB159, constB160)) | v100(constB160) | v90(constB160, 2))),
% 54.98/35.17 inference(rewrite,[status(thm)],[])).
% 54.98/35.17 tff(33394,plain,
% 54.98/35.17 (((~nextState(constB159, constB160)) | (~v90(constB159, 2)) | v100(constB160) | v90(constB160, 2)) <=> ((~v90(constB159, 2)) | (~nextState(constB159, constB160)) | v100(constB160) | v90(constB160, 2))),
% 54.98/35.17 inference(rewrite,[status(thm)],[])).
% 54.98/35.17 tff(33395,plain,
% 54.98/35.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB159, constB160)) | (~v90(constB159, 2)) | v100(constB160) | v90(constB160, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB159, 2)) | (~nextState(constB159, constB160)) | v100(constB160) | v90(constB160, 2)))),
% 54.98/35.17 inference(monotonicity,[status(thm)],[33394])).
% 54.98/35.17 tff(33396,plain,
% 54.98/35.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB159, constB160)) | (~v90(constB159, 2)) | v100(constB160) | v90(constB160, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB159, 2)) | (~nextState(constB159, constB160)) | v100(constB160) | v90(constB160, 2))),
% 54.98/35.17 inference(transitivity,[status(thm)],[33395, 33393])).
% 54.98/35.17 tff(33397,plain,
% 54.98/35.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB159, constB160)) | (~v90(constB159, 2)) | v100(constB160) | v90(constB160, 2))),
% 54.98/35.17 inference(quant_inst,[status(thm)],[])).
% 54.98/35.17 tff(33398,plain,
% 54.98/35.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB159, 2)) | (~nextState(constB159, constB160)) | v100(constB160) | v90(constB160, 2)),
% 54.98/35.17 inference(modus_ponens,[status(thm)],[33397, 33396])).
% 54.98/35.17 tff(33399,plain,
% 54.98/35.17 ((~v90(constB159, 2)) | v100(constB160) | v90(constB160, 2)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33398, 2174, 30700])).
% 54.98/35.17 tff(33400,plain,
% 54.98/35.17 (~v90(constB159, 2)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33399, 33365, 33259])).
% 54.98/35.17 tff(33401,plain,
% 54.98/35.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB158, 2)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB158, 2)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, 2))),
% 54.98/35.17 inference(rewrite,[status(thm)],[])).
% 54.98/35.17 tff(33402,plain,
% 54.98/35.17 (((~nextState(constB158, constB159)) | (~v90(constB158, 2)) | v100(constB159) | v90(constB159, 2)) <=> ((~v90(constB158, 2)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, 2))),
% 54.98/35.17 inference(rewrite,[status(thm)],[])).
% 54.98/35.17 tff(33403,plain,
% 54.98/35.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB158, constB159)) | (~v90(constB158, 2)) | v100(constB159) | v90(constB159, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB158, 2)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, 2)))),
% 54.98/35.17 inference(monotonicity,[status(thm)],[33402])).
% 54.98/35.17 tff(33404,plain,
% 54.98/35.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB158, constB159)) | (~v90(constB158, 2)) | v100(constB159) | v90(constB159, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB158, 2)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, 2))),
% 54.98/35.17 inference(transitivity,[status(thm)],[33403, 33401])).
% 54.98/35.17 tff(33405,plain,
% 54.98/35.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB158, constB159)) | (~v90(constB158, 2)) | v100(constB159) | v90(constB159, 2))),
% 54.98/35.17 inference(quant_inst,[status(thm)],[])).
% 54.98/35.17 tff(33406,plain,
% 54.98/35.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB158, 2)) | (~nextState(constB158, constB159)) | v100(constB159) | v90(constB159, 2)),
% 54.98/35.17 inference(modus_ponens,[status(thm)],[33405, 33404])).
% 54.98/35.17 tff(33407,plain,
% 54.98/35.17 ((~v90(constB158, 2)) | v100(constB159) | v90(constB159, 2)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33406, 2174, 29270])).
% 54.98/35.17 tff(33408,plain,
% 54.98/35.17 ((~v90(constB158, 2)) | v90(constB159, 2)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33407, 29282])).
% 54.98/35.17 tff(33409,plain,
% 54.98/35.17 (~v90(constB158, 2)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33408, 33400])).
% 54.98/35.17 tff(33410,plain,
% 54.98/35.17 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB158, 2) | (~v129(constB158, 2)) | (~v100(constB158)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB158, 2) | (~v129(constB158, 2)) | (~v100(constB158)))),
% 54.98/35.17 inference(rewrite,[status(thm)],[])).
% 54.98/35.17 tff(33411,plain,
% 54.98/35.17 ((v90(constB158, 2) | (~v100(constB158)) | (~v129(constB158, 2))) <=> (v90(constB158, 2) | (~v129(constB158, 2)) | (~v100(constB158)))),
% 54.98/35.17 inference(rewrite,[status(thm)],[])).
% 54.98/35.17 tff(33412,plain,
% 54.98/35.17 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB158, 2) | (~v100(constB158)) | (~v129(constB158, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB158, 2) | (~v129(constB158, 2)) | (~v100(constB158))))),
% 54.98/35.17 inference(monotonicity,[status(thm)],[33411])).
% 54.98/35.17 tff(33413,plain,
% 54.98/35.17 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB158, 2) | (~v100(constB158)) | (~v129(constB158, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB158, 2) | (~v129(constB158, 2)) | (~v100(constB158)))),
% 54.98/35.17 inference(transitivity,[status(thm)],[33412, 33410])).
% 54.98/35.17 tff(33414,plain,
% 54.98/35.17 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB158, 2) | (~v100(constB158)) | (~v129(constB158, 2)))),
% 54.98/35.17 inference(quant_inst,[status(thm)],[])).
% 54.98/35.17 tff(33415,plain,
% 54.98/35.17 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB158, 2) | (~v129(constB158, 2)) | (~v100(constB158))),
% 54.98/35.17 inference(modus_ponens,[status(thm)],[33414, 33413])).
% 54.98/35.17 tff(33416,plain,
% 54.98/35.17 (v90(constB158, 2) | (~v129(constB158, 2))),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33415, 2324, 30593])).
% 54.98/35.17 tff(33417,plain,
% 54.98/35.17 (~v129(constB158, 2)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33416, 33409])).
% 54.98/35.17 tff(33418,plain,
% 54.98/35.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB157, constB158)) | (~v127(constB157, 2)) | v129(constB158, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB157, constB158)) | (~v127(constB157, 2)) | v129(constB158, 2))),
% 54.98/35.17 inference(rewrite,[status(thm)],[])).
% 54.98/35.17 tff(33419,plain,
% 54.98/35.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB157, constB158)) | (~v127(constB157, 2)) | v129(constB158, 2))),
% 54.98/35.17 inference(quant_inst,[status(thm)],[])).
% 54.98/35.17 tff(33420,plain,
% 54.98/35.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB157, constB158)) | (~v127(constB157, 2)) | v129(constB158, 2)),
% 54.98/35.17 inference(modus_ponens,[status(thm)],[33419, 33418])).
% 54.98/35.17 tff(33421,plain,
% 54.98/35.17 ((~v127(constB157, 2)) | v129(constB158, 2)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33420, 1999, 29109])).
% 54.98/35.17 tff(33422,plain,
% 54.98/35.17 (~v127(constB157, 2)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33421, 33417])).
% 54.98/35.17 tff(33423,plain,
% 54.98/35.17 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB157) | (~v130(constB157, 2)) | v127(constB157, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB157) | (~v130(constB157, 2)) | v127(constB157, 2))),
% 54.98/35.17 inference(rewrite,[status(thm)],[])).
% 54.98/35.17 tff(33424,plain,
% 54.98/35.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB157) | (~v130(constB157, 2)) | v127(constB157, 2))),
% 54.98/35.17 inference(quant_inst,[status(thm)],[])).
% 54.98/35.17 tff(33425,plain,
% 54.98/35.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB157) | (~v130(constB157, 2)) | v127(constB157, 2)),
% 54.98/35.17 inference(modus_ponens,[status(thm)],[33424, 33423])).
% 54.98/35.17 tff(33426,plain,
% 54.98/35.17 ((~v130(constB157, 2)) | v127(constB157, 2)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33425, 1981, 29309])).
% 54.98/35.17 tff(33427,plain,
% 54.98/35.17 (~v130(constB157, 2)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33426, 33422])).
% 54.98/35.17 tff(33428,plain,
% 54.98/35.17 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB157)) | v130(constB157, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB157)) | v130(constB157, 2))),
% 54.98/35.17 inference(rewrite,[status(thm)],[])).
% 54.98/35.17 tff(33429,plain,
% 54.98/35.17 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB157)) | v130(constB157, 2))),
% 54.98/35.17 inference(quant_inst,[status(thm)],[])).
% 54.98/35.17 tff(33430,plain,
% 54.98/35.17 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB157)) | v130(constB157, 2)),
% 54.98/35.17 inference(modus_ponens,[status(thm)],[33429, 33428])).
% 54.98/35.17 tff(33431,plain,
% 54.98/35.17 (~v122(constB157)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33430, 1967, 33427])).
% 54.98/35.17 tff(33432,plain,
% 54.98/35.17 (v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157) | v130(constB157, 0)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[30599, 3413, 29227])).
% 54.98/35.17 tff(33433,plain,
% 54.98/35.17 ($false),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33432, 33431, 33392, 33383, 33391, 33387, 33382])).
% 54.98/35.17 tff(33434,plain,(v100(constB160) | v130(constB157, 0) | v119(constB157) | (~v100(constB158)) | v90(constB160, 2) | v90(constB160, 1)), inference(lemma,lemma(discharge,[]))).
% 54.98/35.17 tff(33435,plain,
% 54.98/35.17 (v100(constB160)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33434, 33364, 33361, 33315, 33223, 33213])).
% 54.98/35.17 tff(33436,plain,
% 54.98/35.17 ((~v129(constB160, 0)) | (~v100(constB160))),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33295, 1377, 33237])).
% 54.98/35.17 tff(33437,plain,
% 54.98/35.17 (~v129(constB160, 0)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33436, 33435])).
% 54.98/35.17 tff(33438,plain,
% 54.98/35.17 (~v127(constB159, 0)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33301, 33437])).
% 54.98/35.17 tff(33439,plain,
% 54.98/35.17 (~v130(constB159, 0)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33306, 33438])).
% 54.98/35.17 tff(33440,plain,
% 54.98/35.17 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB159)) | v130(constB159, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB159)) | v130(constB159, 0))),
% 54.98/35.17 inference(rewrite,[status(thm)],[])).
% 54.98/35.17 tff(33441,plain,
% 54.98/35.17 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB159)) | v130(constB159, 0))),
% 54.98/35.17 inference(quant_inst,[status(thm)],[])).
% 54.98/35.17 tff(33442,plain,
% 54.98/35.17 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB159)) | v130(constB159, 0)),
% 54.98/35.17 inference(modus_ponens,[status(thm)],[33441, 33440])).
% 54.98/35.17 tff(33443,plain,
% 54.98/35.17 (~v119(constB159)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33442, 1333, 33439])).
% 54.98/35.17 tff(33444,plain,
% 54.98/35.17 ((~v129(constB160, 1)) | (~v100(constB160))),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[30803, 1623, 33213])).
% 54.98/35.17 tff(33445,plain,
% 54.98/35.17 (~v129(constB160, 1)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33444, 33435])).
% 54.98/35.17 tff(33446,plain,
% 54.98/35.17 (~v127(constB159, 1)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[30796, 33445])).
% 54.98/35.17 tff(33447,plain,
% 54.98/35.17 (~v130(constB159, 1)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[30791, 33446])).
% 54.98/35.17 tff(33448,plain,
% 54.98/35.17 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB159)) | v130(constB159, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB159)) | v130(constB159, 1))),
% 54.98/35.17 inference(rewrite,[status(thm)],[])).
% 54.98/35.17 tff(33449,plain,
% 54.98/35.17 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB159)) | v130(constB159, 1))),
% 54.98/35.17 inference(quant_inst,[status(thm)],[])).
% 54.98/35.17 tff(33450,plain,
% 54.98/35.17 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB159)) | v130(constB159, 1)),
% 54.98/35.17 inference(modus_ponens,[status(thm)],[33449, 33448])).
% 54.98/35.17 tff(33451,plain,
% 54.98/35.17 (~v121(constB159)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33450, 1877, 33447])).
% 54.98/35.17 tff(33452,plain,
% 54.98/35.17 ((~v129(constB160, 2)) | (~v100(constB160))),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33265, 2324, 33223])).
% 54.98/35.17 tff(33453,plain,
% 54.98/35.17 (~v129(constB160, 2)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33452, 33435])).
% 54.98/35.17 tff(33454,plain,
% 54.98/35.17 (~v127(constB159, 2)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33271, 33453])).
% 54.98/35.17 tff(33455,plain,
% 54.98/35.17 (~v130(constB159, 2)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33276, 33454])).
% 54.98/35.17 tff(33456,plain,
% 54.98/35.17 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB159)) | v130(constB159, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB159)) | v130(constB159, 2))),
% 54.98/35.17 inference(rewrite,[status(thm)],[])).
% 54.98/35.17 tff(33457,plain,
% 54.98/35.17 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB159)) | v130(constB159, 2))),
% 54.98/35.17 inference(quant_inst,[status(thm)],[])).
% 54.98/35.17 tff(33458,plain,
% 54.98/35.17 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB159)) | v130(constB159, 2)),
% 54.98/35.17 inference(modus_ponens,[status(thm)],[33457, 33456])).
% 54.98/35.17 tff(33459,plain,
% 54.98/35.17 (~v123(constB159)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33458, 2525, 33455])).
% 54.98/35.17 tff(33460,plain,
% 54.98/35.17 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | ((~v120(constB159)) | v90(constB159, 0))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | (~v120(constB159)) | v90(constB159, 0))),
% 54.98/35.17 inference(rewrite,[status(thm)],[])).
% 54.98/35.17 tff(33461,plain,
% 54.98/35.17 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | ((~v120(constB159)) | v90(constB159, 0))),
% 54.98/35.17 inference(quant_inst,[status(thm)],[])).
% 54.98/35.17 tff(33462,plain,
% 54.98/35.17 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v90(VarCurr, 0))) | (~v120(constB159)) | v90(constB159, 0)),
% 54.98/35.17 inference(modus_ponens,[status(thm)],[33461, 33460])).
% 54.98/35.17 tff(33463,plain,
% 54.98/35.17 (~v120(constB159)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33462, 16200, 33313])).
% 54.98/35.17 tff(33464,plain,
% 54.98/35.17 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | ((~v122(constB159)) | v90(constB159, 0))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | (~v122(constB159)) | v90(constB159, 0))),
% 54.98/35.17 inference(rewrite,[status(thm)],[])).
% 54.98/35.17 tff(33465,plain,
% 54.98/35.17 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | ((~v122(constB159)) | v90(constB159, 0))),
% 54.98/35.17 inference(quant_inst,[status(thm)],[])).
% 54.98/35.17 tff(33466,plain,
% 54.98/35.17 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 0))) | (~v122(constB159)) | v90(constB159, 0)),
% 54.98/35.17 inference(modus_ponens,[status(thm)],[33465, 33464])).
% 54.98/35.17 tff(33467,plain,
% 54.98/35.17 (~v122(constB159)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33466, 6851, 33313])).
% 54.98/35.17 tff(33468,plain,
% 54.98/35.17 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB159)) | v90(constB159, 0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB159)) | v90(constB159, 0))),
% 54.98/35.17 inference(rewrite,[status(thm)],[])).
% 54.98/35.17 tff(33469,plain,
% 54.98/35.17 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB159)) | v90(constB159, 0))),
% 54.98/35.17 inference(quant_inst,[status(thm)],[])).
% 54.98/35.17 tff(33470,plain,
% 54.98/35.17 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB159)) | v90(constB159, 0)),
% 54.98/35.17 inference(modus_ponens,[status(thm)],[33469, 33468])).
% 54.98/35.17 tff(33471,plain,
% 54.98/35.17 (~v124(constB159)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33470, 6692, 33313])).
% 54.98/35.17 tff(33472,plain,
% 54.98/35.17 (v119(constB159) | v121(constB159) | v123(constB159) | v130(constB159, 0)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33310, 3413, 33471, 33467, 33463])).
% 54.98/35.17 tff(33473,plain,
% 54.98/35.17 ($false),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33472, 33459, 33451, 33439, 33443])).
% 54.98/35.17 tff(33474,plain,(v90(constB161, 2) | v120(constB161) | v90(constB161, 1)), inference(lemma,lemma(discharge,[]))).
% 54.98/35.17 tff(33475,plain,
% 54.98/35.17 (v90(constB161, 2)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33474, 33212, 33211])).
% 54.98/35.17 tff(33476,assumption,(~v124(constB161)), introduced(assumption)).
% 54.98/35.17 tff(33477,plain,
% 54.98/35.17 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB161, 0)) | v90(constB161, 1) | (~v90(constB161, 2)) | v124(constB161))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB161, 0)) | v90(constB161, 1) | (~v90(constB161, 2)) | v124(constB161))),
% 54.98/35.17 inference(rewrite,[status(thm)],[])).
% 54.98/35.17 tff(33478,plain,
% 54.98/35.17 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB161, 0)) | v90(constB161, 1) | (~v90(constB161, 2)) | v124(constB161))),
% 54.98/35.17 inference(quant_inst,[status(thm)],[])).
% 54.98/35.17 tff(33479,plain,
% 54.98/35.17 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB161, 0)) | v90(constB161, 1) | (~v90(constB161, 2)) | v124(constB161)),
% 54.98/35.17 inference(modus_ponens,[status(thm)],[33478, 33477])).
% 54.98/35.17 tff(33480,plain,
% 54.98/35.17 ((~v90(constB161, 0)) | v90(constB161, 1) | (~v90(constB161, 2))),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33479, 2663, 33476])).
% 54.98/35.17 tff(33481,plain,
% 54.98/35.17 (~v90(constB161, 0)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33480, 33212, 33475])).
% 54.98/35.17 tff(33482,assumption,(~v123(constB161)), introduced(assumption)).
% 54.98/35.17 tff(33483,plain,
% 54.98/35.17 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB161, 0) | v90(constB161, 1) | (~v90(constB161, 2)) | v123(constB161))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB161, 0) | v90(constB161, 1) | (~v90(constB161, 2)) | v123(constB161))),
% 54.98/35.17 inference(rewrite,[status(thm)],[])).
% 54.98/35.17 tff(33484,plain,
% 54.98/35.17 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB161, 0) | v90(constB161, 1) | (~v90(constB161, 2)) | v123(constB161))),
% 54.98/35.17 inference(quant_inst,[status(thm)],[])).
% 54.98/35.17 tff(33485,plain,
% 54.98/35.17 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB161, 0) | v90(constB161, 1) | (~v90(constB161, 2)) | v123(constB161)),
% 54.98/35.17 inference(modus_ponens,[status(thm)],[33484, 33483])).
% 54.98/35.17 tff(33486,plain,
% 54.98/35.17 (v90(constB161, 0) | v90(constB161, 1) | (~v90(constB161, 2))),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33485, 2308, 33482])).
% 54.98/35.17 tff(33487,plain,
% 54.98/35.17 ($false),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33486, 33481, 33212, 33475])).
% 54.98/35.17 tff(33488,plain,(v90(constB161, 1) | v123(constB161) | v124(constB161) | v120(constB161)), inference(lemma,lemma(discharge,[]))).
% 54.98/35.17 tff(33489,plain,
% 54.98/35.17 (v90(constB161, 1)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33488, 33210, 33153, 33079])).
% 54.98/35.17 tff(33490,plain,
% 54.98/35.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB160, 1) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB160, 1) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 1)))),
% 54.98/35.17 inference(rewrite,[status(thm)],[])).
% 54.98/35.17 tff(33491,plain,
% 54.98/35.17 (((~nextState(constB160, constB161)) | v90(constB160, 1) | v100(constB161) | (~v90(constB161, 1))) <=> (v90(constB160, 1) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 1)))),
% 54.98/35.17 inference(rewrite,[status(thm)],[])).
% 54.98/35.17 tff(33492,plain,
% 54.98/35.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB160, constB161)) | v90(constB160, 1) | v100(constB161) | (~v90(constB161, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB160, 1) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 1))))),
% 54.98/35.17 inference(monotonicity,[status(thm)],[33491])).
% 54.98/35.17 tff(33493,plain,
% 54.98/35.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB160, constB161)) | v90(constB160, 1) | v100(constB161) | (~v90(constB161, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB160, 1) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 1)))),
% 54.98/35.17 inference(transitivity,[status(thm)],[33492, 33490])).
% 54.98/35.17 tff(33494,plain,
% 54.98/35.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB160, constB161)) | v90(constB160, 1) | v100(constB161) | (~v90(constB161, 1)))),
% 54.98/35.17 inference(quant_inst,[status(thm)],[])).
% 54.98/35.17 tff(33495,plain,
% 54.98/35.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB160, 1) | (~nextState(constB160, constB161)) | v100(constB161) | (~v90(constB161, 1))),
% 54.98/35.17 inference(modus_ponens,[status(thm)],[33494, 33493])).
% 54.98/35.17 tff(33496,plain,
% 54.98/35.17 (v90(constB160, 1) | v100(constB161) | (~v90(constB161, 1))),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33495, 926, 30762])).
% 54.98/35.17 tff(33497,plain,
% 54.98/35.17 (v90(constB160, 1) | (~v90(constB161, 1))),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33496, 30774])).
% 54.98/35.17 tff(33498,plain,
% 54.98/35.17 (v90(constB160, 1)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33497, 33489])).
% 54.98/35.17 tff(33499,plain,
% 54.98/35.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB159, 1) | (~nextState(constB159, constB160)) | v100(constB160) | (~v90(constB160, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB159, 1) | (~nextState(constB159, constB160)) | v100(constB160) | (~v90(constB160, 1)))),
% 54.98/35.17 inference(rewrite,[status(thm)],[])).
% 54.98/35.17 tff(33500,plain,
% 54.98/35.17 (((~nextState(constB159, constB160)) | v90(constB159, 1) | v100(constB160) | (~v90(constB160, 1))) <=> (v90(constB159, 1) | (~nextState(constB159, constB160)) | v100(constB160) | (~v90(constB160, 1)))),
% 54.98/35.17 inference(rewrite,[status(thm)],[])).
% 54.98/35.17 tff(33501,plain,
% 54.98/35.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB159, constB160)) | v90(constB159, 1) | v100(constB160) | (~v90(constB160, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB159, 1) | (~nextState(constB159, constB160)) | v100(constB160) | (~v90(constB160, 1))))),
% 54.98/35.17 inference(monotonicity,[status(thm)],[33500])).
% 54.98/35.17 tff(33502,plain,
% 54.98/35.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB159, constB160)) | v90(constB159, 1) | v100(constB160) | (~v90(constB160, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB159, 1) | (~nextState(constB159, constB160)) | v100(constB160) | (~v90(constB160, 1)))),
% 54.98/35.17 inference(transitivity,[status(thm)],[33501, 33499])).
% 54.98/35.17 tff(33503,plain,
% 54.98/35.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB159, constB160)) | v90(constB159, 1) | v100(constB160) | (~v90(constB160, 1)))),
% 54.98/35.17 inference(quant_inst,[status(thm)],[])).
% 54.98/35.17 tff(33504,plain,
% 54.98/35.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB159, 1) | (~nextState(constB159, constB160)) | v100(constB160) | (~v90(constB160, 1))),
% 54.98/35.17 inference(modus_ponens,[status(thm)],[33503, 33502])).
% 54.98/35.17 tff(33505,plain,
% 54.98/35.17 (v90(constB159, 1) | v100(constB160) | (~v90(constB160, 1))),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33504, 926, 30700])).
% 54.98/35.17 tff(33506,plain,
% 54.98/35.17 (v100(constB160)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33505, 33498, 32736])).
% 54.98/35.17 tff(33507,plain,
% 54.98/35.17 (~v90(constB160, 0)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[30837, 1704, 33506, 32719])).
% 54.98/35.17 tff(33508,plain,
% 54.98/35.17 (~v90(constB161, 0)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[30847, 33507])).
% 54.98/35.17 tff(33509,plain,
% 54.98/35.17 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB161, 0)) | v90(constB161, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB161, 0)) | v90(constB161, 0))),
% 54.98/35.17 inference(rewrite,[status(thm)],[])).
% 54.98/35.17 tff(33510,plain,
% 54.98/35.17 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB161, 0)) | v90(constB161, 0))),
% 54.98/35.17 inference(quant_inst,[status(thm)],[])).
% 54.98/35.17 tff(33511,plain,
% 54.98/35.17 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB161, 0)) | v90(constB161, 0)),
% 54.98/35.17 inference(modus_ponens,[status(thm)],[33510, 33509])).
% 54.98/35.17 tff(33512,plain,
% 54.98/35.17 (~v88(constB161, 0)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33511, 14132, 33508])).
% 54.98/35.17 tff(33513,plain,
% 54.98/35.17 (~v130(constB159, 2)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[30737, 1523, 30644])).
% 54.98/35.17 tff(33514,plain,
% 54.98/35.17 (~v127(constB159, 2)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[30745, 33513])).
% 54.98/35.17 tff(33515,plain,
% 54.98/35.17 (~v129(constB160, 2)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[30750, 33514])).
% 54.98/35.17 tff(33516,plain,
% 54.98/35.17 (~v90(constB160, 2)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[30754, 1223, 33506, 33515])).
% 54.98/35.17 tff(33517,plain,
% 54.98/35.17 (~v90(constB161, 2)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[30782, 33516])).
% 54.98/35.17 tff(33518,plain,
% 54.98/35.17 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB161, 2)) | v90(constB161, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB161, 2)) | v90(constB161, 2))),
% 54.98/35.17 inference(rewrite,[status(thm)],[])).
% 54.98/35.17 tff(33519,plain,
% 54.98/35.17 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB161, 2)) | v90(constB161, 2))),
% 54.98/35.17 inference(quant_inst,[status(thm)],[])).
% 54.98/35.17 tff(33520,plain,
% 54.98/35.17 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB161, 2)) | v90(constB161, 2)),
% 54.98/35.17 inference(modus_ponens,[status(thm)],[33519, 33518])).
% 54.98/35.17 tff(33521,plain,
% 54.98/35.17 (~v88(constB161, 2)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33520, 24881, 33517])).
% 54.98/35.17 tff(33522,plain,
% 54.98/35.17 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB161, 1)) | v88(constB161, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB161, 1)) | v88(constB161, 1))),
% 54.98/35.17 inference(rewrite,[status(thm)],[])).
% 54.98/35.17 tff(33523,plain,
% 54.98/35.17 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB161, 1)) | v88(constB161, 1))),
% 54.98/35.17 inference(quant_inst,[status(thm)],[])).
% 54.98/35.17 tff(33524,plain,
% 54.98/35.17 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB161, 1)) | v88(constB161, 1)),
% 54.98/35.17 inference(modus_ponens,[status(thm)],[33523, 33522])).
% 54.98/35.17 tff(33525,plain,
% 54.98/35.17 (v88(constB161, 1)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33524, 24936, 33489])).
% 54.98/35.17 tff(33526,plain,
% 54.98/35.17 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB161, 2) | (~v88(constB161, 1)) | v88(constB161, 0) | v143(constB161))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB161, 2) | (~v88(constB161, 1)) | v88(constB161, 0) | v143(constB161))),
% 54.98/35.17 inference(rewrite,[status(thm)],[])).
% 54.98/35.17 tff(33527,plain,
% 54.98/35.17 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB161, 2) | (~v88(constB161, 1)) | v88(constB161, 0) | v143(constB161))),
% 54.98/35.17 inference(quant_inst,[status(thm)],[])).
% 54.98/35.17 tff(33528,plain,
% 54.98/35.17 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB161, 2) | (~v88(constB161, 1)) | v88(constB161, 0) | v143(constB161)),
% 54.98/35.17 inference(modus_ponens,[status(thm)],[33527, 33526])).
% 54.98/35.17 tff(33529,plain,
% 54.98/35.17 (v88(constB161, 2) | v88(constB161, 0) | v143(constB161)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33528, 24950, 33525])).
% 54.98/35.17 tff(33530,plain,
% 54.98/35.17 (v143(constB161)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33529, 33521, 33512])).
% 54.98/35.17 tff(33531,plain,
% 54.98/35.17 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (v142(constB161) | (~v143(constB161)))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB161) | (~v143(constB161)))),
% 54.98/35.17 inference(rewrite,[status(thm)],[])).
% 54.98/35.17 tff(33532,plain,
% 54.98/35.17 (((~v143(constB161)) | v142(constB161)) <=> (v142(constB161) | (~v143(constB161)))),
% 54.98/35.17 inference(rewrite,[status(thm)],[])).
% 54.98/35.17 tff(33533,plain,
% 54.98/35.17 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB161)) | v142(constB161))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (v142(constB161) | (~v143(constB161))))),
% 54.98/35.17 inference(monotonicity,[status(thm)],[33532])).
% 54.98/35.17 tff(33534,plain,
% 54.98/35.17 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB161)) | v142(constB161))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB161) | (~v143(constB161)))),
% 54.98/35.17 inference(transitivity,[status(thm)],[33533, 33531])).
% 54.98/35.17 tff(33535,plain,
% 54.98/35.17 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB161)) | v142(constB161))),
% 54.98/35.17 inference(quant_inst,[status(thm)],[])).
% 54.98/35.17 tff(33536,plain,
% 54.98/35.17 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB161) | (~v143(constB161))),
% 54.98/35.17 inference(modus_ponens,[status(thm)],[33535, 33534])).
% 54.98/35.17 tff(33537,plain,
% 54.98/35.17 (v142(constB161)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33536, 24964, 33530])).
% 54.98/35.17 tff(33538,plain,
% 54.98/35.17 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v166(VarCurr))) | ((~v142(constB161)) | v166(constB161))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v166(VarCurr))) | (~v142(constB161)) | v166(constB161))),
% 54.98/35.17 inference(rewrite,[status(thm)],[])).
% 54.98/35.17 tff(33539,plain,
% 54.98/35.17 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v166(VarCurr))) | ((~v142(constB161)) | v166(constB161))),
% 54.98/35.17 inference(quant_inst,[status(thm)],[])).
% 54.98/35.17 tff(33540,plain,
% 54.98/35.17 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v166(VarCurr))) | (~v142(constB161)) | v166(constB161)),
% 54.98/35.17 inference(modus_ponens,[status(thm)],[33539, 33538])).
% 54.98/35.17 tff(33541,plain,
% 54.98/35.17 (v166(constB161)),
% 54.98/35.17 inference(unit_resolution,[status(thm)],[33540, 24978, 33537])).
% 54.98/35.17 tff(33542,plain,
% 54.98/35.17 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (v165(constB161) | (~v166(constB161)))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB161) | (~v166(constB161)))),
% 54.98/35.17 inference(rewrite,[status(thm)],[])).
% 54.98/35.17 tff(33543,plain,
% 54.98/35.17 (((~v166(constB161)) | v165(constB161)) <=> (v165(constB161) | (~v166(constB161)))),
% 54.98/35.17 inference(rewrite,[status(thm)],[])).
% 54.98/35.17 tff(33544,plain,
% 54.98/35.17 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB161)) | v165(constB161))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (v165(constB161) | (~v166(constB161))))),
% 54.98/35.18 inference(monotonicity,[status(thm)],[33543])).
% 54.98/35.18 tff(33545,plain,
% 54.98/35.18 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB161)) | v165(constB161))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB161) | (~v166(constB161)))),
% 54.98/35.18 inference(transitivity,[status(thm)],[33544, 33542])).
% 54.98/35.18 tff(33546,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB161)) | v165(constB161))),
% 54.98/35.18 inference(quant_inst,[status(thm)],[])).
% 54.98/35.18 tff(33547,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB161) | (~v166(constB161))),
% 54.98/35.18 inference(modus_ponens,[status(thm)],[33546, 33545])).
% 54.98/35.18 tff(33548,plain,
% 54.98/35.18 (v165(constB161)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33547, 24989, 33541])).
% 54.98/35.18 tff(33549,plain,
% 54.98/35.18 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB161)) | (~v88(constB161, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB161)) | (~v88(constB161, 1)))),
% 54.98/35.18 inference(rewrite,[status(thm)],[])).
% 54.98/35.18 tff(33550,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB161)) | (~v88(constB161, 1)))),
% 54.98/35.18 inference(quant_inst,[status(thm)],[])).
% 54.98/35.18 tff(33551,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB161)) | (~v88(constB161, 1))),
% 54.98/35.18 inference(modus_ponens,[status(thm)],[33550, 33549])).
% 54.98/35.18 tff(33552,plain,
% 54.98/35.18 (~v139(constB161)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33551, 25003, 33525])).
% 54.98/35.18 tff(33553,plain,
% 54.98/35.18 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB161)) | (~v88(constB161, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB161)) | (~v88(constB161, 1)))),
% 54.98/35.18 inference(rewrite,[status(thm)],[])).
% 54.98/35.18 tff(33554,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB161)) | (~v88(constB161, 1)))),
% 54.98/35.18 inference(quant_inst,[status(thm)],[])).
% 54.98/35.18 tff(33555,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB161)) | (~v88(constB161, 1))),
% 54.98/35.18 inference(modus_ponens,[status(thm)],[33554, 33553])).
% 54.98/35.18 tff(33556,plain,
% 54.98/35.18 (~v140(constB161)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33555, 25014, 33525])).
% 54.98/35.18 tff(33557,plain,
% 54.98/35.18 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB161) | v140(constB161) | (~v170(constB161)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB161) | v140(constB161) | (~v170(constB161)))),
% 54.98/35.18 inference(rewrite,[status(thm)],[])).
% 54.98/35.18 tff(33558,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB161) | v140(constB161) | (~v170(constB161)))),
% 54.98/35.18 inference(quant_inst,[status(thm)],[])).
% 54.98/35.18 tff(33559,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB161) | v140(constB161) | (~v170(constB161))),
% 54.98/35.18 inference(modus_ponens,[status(thm)],[33558, 33557])).
% 54.98/35.18 tff(33560,plain,
% 54.98/35.18 (~v170(constB161)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33559, 13928, 33556, 33552])).
% 54.98/35.18 tff(33561,plain,
% 54.98/35.18 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | ((~v141(constB161)) | v88(constB161, 0))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | (~v141(constB161)) | v88(constB161, 0))),
% 54.98/35.18 inference(rewrite,[status(thm)],[])).
% 54.98/35.18 tff(33562,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | ((~v141(constB161)) | v88(constB161, 0))),
% 54.98/35.18 inference(quant_inst,[status(thm)],[])).
% 54.98/35.18 tff(33563,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | (~v141(constB161)) | v88(constB161, 0)),
% 54.98/35.18 inference(modus_ponens,[status(thm)],[33562, 33561])).
% 54.98/35.18 tff(33564,plain,
% 54.98/35.18 (~v141(constB161)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33563, 25029, 33512])).
% 54.98/35.18 tff(33565,plain,
% 54.98/35.18 (((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB161) | v170(constB161) | (~v169(constB161)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB161) | v170(constB161) | (~v169(constB161)))),
% 54.98/35.18 inference(rewrite,[status(thm)],[])).
% 54.98/35.18 tff(33566,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB161) | v170(constB161) | (~v169(constB161)))),
% 54.98/35.18 inference(quant_inst,[status(thm)],[])).
% 54.98/35.18 tff(33567,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB161) | v170(constB161) | (~v169(constB161))),
% 54.98/35.18 inference(modus_ponens,[status(thm)],[33566, 33565])).
% 54.98/35.18 tff(33568,plain,
% 54.98/35.18 (~v169(constB161)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33567, 13953, 33564, 33560])).
% 54.98/35.18 tff(33569,plain,
% 54.98/35.18 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB161)) | (~v165(constB161)) | v169(constB161))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB161)) | (~v165(constB161)) | v169(constB161))),
% 54.98/35.18 inference(rewrite,[status(thm)],[])).
% 54.98/35.18 tff(33570,plain,
% 54.98/35.18 (((~v165(constB161)) | v169(constB161) | (~v162(constB161))) <=> ((~v162(constB161)) | (~v165(constB161)) | v169(constB161))),
% 54.98/35.18 inference(rewrite,[status(thm)],[])).
% 54.98/35.18 tff(33571,plain,
% 54.98/35.18 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB161)) | v169(constB161) | (~v162(constB161)))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB161)) | (~v165(constB161)) | v169(constB161)))),
% 54.98/35.18 inference(monotonicity,[status(thm)],[33570])).
% 54.98/35.18 tff(33572,plain,
% 54.98/35.18 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB161)) | v169(constB161) | (~v162(constB161)))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB161)) | (~v165(constB161)) | v169(constB161))),
% 54.98/35.18 inference(transitivity,[status(thm)],[33571, 33569])).
% 54.98/35.18 tff(33573,plain,
% 54.98/35.18 ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB161)) | v169(constB161) | (~v162(constB161)))),
% 54.98/35.18 inference(quant_inst,[status(thm)],[])).
% 54.98/35.18 tff(33574,plain,
% 54.98/35.18 ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB161)) | (~v165(constB161)) | v169(constB161)),
% 54.98/35.18 inference(modus_ponens,[status(thm)],[33573, 33572])).
% 54.98/35.18 tff(33575,plain,
% 54.98/35.18 ((~v162(constB161)) | (~v165(constB161))),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33574, 14054, 33568])).
% 54.98/35.18 tff(33576,plain,
% 54.98/35.18 (~v162(constB161)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33575, 33548])).
% 54.98/35.18 tff(33577,plain,
% 54.98/35.18 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB161) | (~v187(constB161)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB161) | (~v187(constB161)))),
% 54.98/35.18 inference(rewrite,[status(thm)],[])).
% 54.98/35.18 tff(33578,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB161) | (~v187(constB161)))),
% 54.98/35.18 inference(quant_inst,[status(thm)],[])).
% 54.98/35.18 tff(33579,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB161) | (~v187(constB161))),
% 54.98/35.18 inference(modus_ponens,[status(thm)],[33578, 33577])).
% 54.98/35.18 tff(33580,plain,
% 54.98/35.18 (~v187(constB161)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33579, 14071, 33576])).
% 54.98/35.18 tff(33581,plain,
% 54.98/35.18 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB161) | (~v185(constB161)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB161) | (~v185(constB161)))),
% 54.98/35.18 inference(rewrite,[status(thm)],[])).
% 54.98/35.18 tff(33582,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB161) | (~v185(constB161)))),
% 54.98/35.18 inference(quant_inst,[status(thm)],[])).
% 54.98/35.18 tff(33583,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB161) | (~v185(constB161))),
% 54.98/35.18 inference(modus_ponens,[status(thm)],[33582, 33581])).
% 54.98/35.18 tff(33584,plain,
% 54.98/35.18 (~v185(constB161)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33583, 14085, 33580])).
% 54.98/35.18 tff(33585,assumption,(v18(constB162)), introduced(assumption)).
% 54.98/35.18 tff(33586,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB162))),
% 54.98/35.18 inference(quant_inst,[status(thm)],[])).
% 54.98/35.18 tff(33587,plain,
% 54.98/35.18 ($false),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33586, 14194, 33585])).
% 54.98/35.18 tff(33588,plain,(~v18(constB162)), inference(lemma,lemma(discharge,[]))).
% 54.98/35.18 tff(33589,plain,
% 54.98/35.18 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB162) | (~v1(constB162)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB162) | (~v1(constB162)))),
% 54.98/35.18 inference(rewrite,[status(thm)],[])).
% 54.98/35.18 tff(33590,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB162) | (~v1(constB162)))),
% 54.98/35.18 inference(quant_inst,[status(thm)],[])).
% 54.98/35.18 tff(33591,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB162) | (~v1(constB162))),
% 54.98/35.18 inference(modus_ponens,[status(thm)],[33590, 33589])).
% 54.98/35.18 tff(33592,plain,
% 54.98/35.18 (v22(constB162)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33591, 14207, 310])).
% 54.98/35.18 tff(33593,plain,
% 54.98/35.18 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB162) | (~v22(constB162)) | (~v19(constB162)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB162) | (~v22(constB162)) | (~v19(constB162)))),
% 54.98/35.18 inference(rewrite,[status(thm)],[])).
% 54.98/35.18 tff(33594,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB162) | (~v22(constB162)) | (~v19(constB162)))),
% 54.98/35.18 inference(quant_inst,[status(thm)],[])).
% 54.98/35.18 tff(33595,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB162) | (~v22(constB162)) | (~v19(constB162))),
% 54.98/35.18 inference(modus_ponens,[status(thm)],[33594, 33593])).
% 54.98/35.18 tff(33596,plain,
% 54.98/35.18 (v18(constB162) | (~v19(constB162))),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33595, 14221, 33592])).
% 54.98/35.18 tff(33597,plain,
% 54.98/35.18 (~v19(constB162)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33596, 33588])).
% 54.98/35.18 tff(33598,plain,
% 54.98/35.18 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB162) | v19(constB162))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB162) | v19(constB162))),
% 54.98/35.18 inference(rewrite,[status(thm)],[])).
% 54.98/35.18 tff(33599,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB162) | v19(constB162))),
% 54.98/35.18 inference(quant_inst,[status(thm)],[])).
% 54.98/35.18 tff(33600,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB162) | v19(constB162)),
% 54.98/35.18 inference(modus_ponens,[status(thm)],[33599, 33598])).
% 54.98/35.18 tff(33601,plain,
% 54.98/35.18 (v13(constB162)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33600, 14233, 33597])).
% 54.98/35.18 tff(33602,plain,
% 54.98/35.18 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB161) | (~v13(constB162)) | (~nextState(constB161, constB162)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB161) | (~v13(constB162)) | (~nextState(constB161, constB162)))),
% 54.98/35.18 inference(rewrite,[status(thm)],[])).
% 54.98/35.18 tff(33603,plain,
% 54.98/35.18 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB161) | (~v13(constB162)) | (~nextState(constB161, constB162)))),
% 54.98/35.18 inference(quant_inst,[status(thm)],[])).
% 54.98/35.18 tff(33604,plain,
% 54.98/35.18 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB161) | (~v13(constB162)) | (~nextState(constB161, constB162))),
% 54.98/35.18 inference(modus_ponens,[status(thm)],[33603, 33602])).
% 54.98/35.18 tff(33605,plain,
% 54.98/35.18 (v9(constB161) | (~v13(constB162))),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33604, 14247, 30909])).
% 54.98/35.18 tff(33606,plain,
% 54.98/35.18 (v9(constB161)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33605, 33601])).
% 54.98/35.18 tff(33607,plain,
% 54.98/35.18 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB161) | (~v9(constB161)) | v184(constB161))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB161) | (~v9(constB161)) | v184(constB161))),
% 54.98/35.18 inference(rewrite,[status(thm)],[])).
% 54.98/35.18 tff(33608,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB161) | (~v9(constB161)) | v184(constB161))),
% 54.98/35.18 inference(quant_inst,[status(thm)],[])).
% 54.98/35.18 tff(33609,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB161) | (~v9(constB161)) | v184(constB161)),
% 54.98/35.18 inference(modus_ponens,[status(thm)],[33608, 33607])).
% 54.98/35.18 tff(33610,plain,
% 54.98/35.18 ((~v9(constB161)) | v184(constB161)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33609, 14262, 30759])).
% 54.98/35.18 tff(33611,plain,
% 54.98/35.18 (v184(constB161)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33610, 33606])).
% 54.98/35.18 tff(33612,plain,
% 54.98/35.18 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB161) | (~v184(constB161)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB161) | (~v184(constB161)))),
% 54.98/35.18 inference(rewrite,[status(thm)],[])).
% 54.98/35.18 tff(33613,plain,
% 54.98/35.18 (((~v184(constB161)) | v183(constB161)) <=> (v183(constB161) | (~v184(constB161)))),
% 54.98/35.18 inference(rewrite,[status(thm)],[])).
% 54.98/35.18 tff(33614,plain,
% 54.98/35.18 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB161)) | v183(constB161))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB161) | (~v184(constB161))))),
% 54.98/35.18 inference(monotonicity,[status(thm)],[33613])).
% 54.98/35.18 tff(33615,plain,
% 54.98/35.18 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB161)) | v183(constB161))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB161) | (~v184(constB161)))),
% 54.98/35.18 inference(transitivity,[status(thm)],[33614, 33612])).
% 54.98/35.18 tff(33616,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB161)) | v183(constB161))),
% 54.98/35.18 inference(quant_inst,[status(thm)],[])).
% 54.98/35.18 tff(33617,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB161) | (~v184(constB161))),
% 54.98/35.18 inference(modus_ponens,[status(thm)],[33616, 33615])).
% 54.98/35.18 tff(33618,plain,
% 54.98/35.18 (v183(constB161)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33617, 14274, 33611])).
% 54.98/35.18 tff(33619,plain,
% 54.98/35.18 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB161)) | (~v183(constB161)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB161)) | (~v183(constB161)))),
% 54.98/35.18 inference(rewrite,[status(thm)],[])).
% 54.98/35.18 tff(33620,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB161)) | (~v183(constB161)))),
% 54.98/35.18 inference(quant_inst,[status(thm)],[])).
% 54.98/35.18 tff(33621,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB161)) | (~v183(constB161))),
% 54.98/35.18 inference(modus_ponens,[status(thm)],[33620, 33619])).
% 54.98/35.18 tff(33622,plain,
% 54.98/35.18 (~v181(constB161)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33621, 14288, 33618])).
% 54.98/35.18 tff(33623,plain,
% 54.98/35.18 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB161) | v185(constB161) | (~v178(constB161)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB161) | v185(constB161) | (~v178(constB161)))),
% 54.98/35.18 inference(rewrite,[status(thm)],[])).
% 54.98/35.18 tff(33624,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB161) | v185(constB161) | (~v178(constB161)))),
% 54.98/35.18 inference(quant_inst,[status(thm)],[])).
% 54.98/35.18 tff(33625,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB161) | v185(constB161) | (~v178(constB161))),
% 54.98/35.18 inference(modus_ponens,[status(thm)],[33624, 33623])).
% 54.98/35.18 tff(33626,plain,
% 54.98/35.18 (v185(constB161) | (~v178(constB161))),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33625, 14302, 33622])).
% 54.98/35.18 tff(33627,plain,
% 54.98/35.18 (~v178(constB161)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33626, 33584])).
% 54.98/35.18 tff(33628,plain,
% 54.98/35.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB161, constB162)) | v178(constB161) | (~v180(constB162)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB161, constB162)) | v178(constB161) | (~v180(constB162)))),
% 54.98/35.18 inference(rewrite,[status(thm)],[])).
% 54.98/35.18 tff(33629,plain,
% 54.98/35.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB161, constB162)) | v178(constB161) | (~v180(constB162)))),
% 54.98/35.18 inference(quant_inst,[status(thm)],[])).
% 54.98/35.18 tff(33630,plain,
% 54.98/35.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB161, constB162)) | v178(constB161) | (~v180(constB162))),
% 54.98/35.18 inference(modus_ponens,[status(thm)],[33629, 33628])).
% 54.98/35.18 tff(33631,plain,
% 54.98/35.18 (v178(constB161) | (~v180(constB162))),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33630, 14317, 30909])).
% 54.98/35.18 tff(33632,plain,
% 54.98/35.18 (~v180(constB162)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33631, 33627])).
% 54.98/35.18 tff(33633,plain,
% 54.98/35.18 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB162) | (~v181(constB162)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB162) | (~v181(constB162)))),
% 54.98/35.18 inference(rewrite,[status(thm)],[])).
% 54.98/35.18 tff(33634,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB162) | (~v181(constB162)))),
% 54.98/35.18 inference(quant_inst,[status(thm)],[])).
% 54.98/35.18 tff(33635,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB162) | (~v181(constB162))),
% 54.98/35.18 inference(modus_ponens,[status(thm)],[33634, 33633])).
% 54.98/35.18 tff(33636,plain,
% 54.98/35.18 (~v181(constB162)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33635, 14332, 33632])).
% 54.98/35.18 tff(33637,plain,
% 54.98/35.18 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB162)) | (~v184(constB162)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB162)) | (~v184(constB162)))),
% 54.98/35.18 inference(rewrite,[status(thm)],[])).
% 54.98/35.18 tff(33638,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB162)) | (~v184(constB162)))),
% 54.98/35.18 inference(quant_inst,[status(thm)],[])).
% 54.98/35.18 tff(33639,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB162)) | (~v184(constB162))),
% 54.98/35.18 inference(modus_ponens,[status(thm)],[33638, 33637])).
% 54.98/35.18 tff(33640,plain,
% 54.98/35.18 (~v184(constB162)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33639, 88, 310])).
% 54.98/35.18 tff(33641,plain,
% 54.98/35.18 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB162) | (~v187(constB162)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB162) | (~v187(constB162)))),
% 54.98/35.18 inference(rewrite,[status(thm)],[])).
% 54.98/35.18 tff(33642,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB162) | (~v187(constB162)))),
% 54.98/35.18 inference(quant_inst,[status(thm)],[])).
% 54.98/35.18 tff(33643,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB162) | (~v187(constB162))),
% 54.98/35.18 inference(modus_ponens,[status(thm)],[33642, 33641])).
% 54.98/35.18 tff(33644,plain,
% 54.98/35.18 (~v187(constB162)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33643, 14350, 33640])).
% 54.98/35.18 tff(33645,plain,
% 54.98/35.18 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB162) | (~v185(constB162)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB162) | (~v185(constB162)))),
% 54.98/35.18 inference(rewrite,[status(thm)],[])).
% 54.98/35.18 tff(33646,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB162) | (~v185(constB162)))),
% 54.98/35.18 inference(quant_inst,[status(thm)],[])).
% 54.98/35.18 tff(33647,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB162) | (~v185(constB162))),
% 54.98/35.18 inference(modus_ponens,[status(thm)],[33646, 33645])).
% 54.98/35.18 tff(33648,plain,
% 54.98/35.18 (~v185(constB162)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33647, 14085, 33644])).
% 54.98/35.18 tff(33649,plain,
% 54.98/35.18 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB162) | v185(constB162) | (~v178(constB162)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB162) | v185(constB162) | (~v178(constB162)))),
% 54.98/35.18 inference(rewrite,[status(thm)],[])).
% 54.98/35.18 tff(33650,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB162) | v185(constB162) | (~v178(constB162)))),
% 54.98/35.18 inference(quant_inst,[status(thm)],[])).
% 54.98/35.18 tff(33651,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB162) | v185(constB162) | (~v178(constB162))),
% 54.98/35.18 inference(modus_ponens,[status(thm)],[33650, 33649])).
% 54.98/35.18 tff(33652,plain,
% 54.98/35.18 (v181(constB162) | (~v178(constB162))),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33651, 14302, 33648])).
% 54.98/35.18 tff(33653,plain,
% 54.98/35.18 (~v178(constB162)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33652, 33636])).
% 54.98/35.18 tff(33654,plain,
% 54.98/35.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB162, constB163)) | v178(constB162) | (~v180(constB163)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB162, constB163)) | v178(constB162) | (~v180(constB163)))),
% 54.98/35.18 inference(rewrite,[status(thm)],[])).
% 54.98/35.18 tff(33655,plain,
% 54.98/35.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB162, constB163)) | v178(constB162) | (~v180(constB163)))),
% 54.98/35.18 inference(quant_inst,[status(thm)],[])).
% 54.98/35.18 tff(33656,plain,
% 54.98/35.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB162, constB163)) | v178(constB162) | (~v180(constB163))),
% 54.98/35.18 inference(modus_ponens,[status(thm)],[33655, 33654])).
% 54.98/35.18 tff(33657,plain,
% 54.98/35.18 (v178(constB162) | (~v180(constB163))),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33656, 14317, 30968])).
% 54.98/35.18 tff(33658,plain,
% 54.98/35.18 (~v180(constB163)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33657, 33653])).
% 54.98/35.18 tff(33659,plain,
% 54.98/35.18 ($false),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33658, 32716])).
% 54.98/35.18 tff(33660,plain,((~(constB163 = sK_VarCurr)) | (~v180(sK_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 54.98/35.18 tff(33661,plain,
% 54.98/35.18 (~(constB163 = sK_VarCurr)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33660, 815])).
% 54.98/35.18 tff(33662,assumption,(constB95 = sK_VarCurr), introduced(assumption)).
% 54.98/35.18 tff(33663,plain,
% 54.98/35.18 (v180(constB95) <=> v180(sK_VarCurr)),
% 54.98/35.18 inference(monotonicity,[status(thm)],[33662])).
% 54.98/35.18 tff(33664,plain,
% 54.98/35.18 (v180(sK_VarCurr) <=> v180(constB95)),
% 54.98/35.18 inference(symmetry,[status(thm)],[33663])).
% 54.98/35.18 tff(33665,plain,
% 54.98/35.18 (v180(constB95)),
% 54.98/35.18 inference(modus_ponens,[status(thm)],[819, 33664])).
% 54.98/35.18 tff(33666,plain,
% 54.98/35.18 (v116(constB91)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[17345, 2120, 17338])).
% 54.98/35.18 tff(33667,plain,
% 54.98/35.18 (v115(constB91)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[17352, 1021, 33666])).
% 54.98/35.18 tff(33668,plain,
% 54.98/35.18 (v114(constB91)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[17359, 1035, 33667])).
% 54.98/35.18 tff(33669,plain,
% 54.98/35.18 (v113(constB91)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[17366, 1049, 33668])).
% 54.98/35.18 tff(33670,plain,
% 54.98/35.18 (v112(constB91)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[17378, 33669])).
% 54.98/35.18 tff(33671,plain,
% 54.98/35.18 (v108(constB91)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[17385, 1075, 33670])).
% 54.98/35.18 tff(33672,plain,
% 54.98/35.18 (v110(constB92)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[17396, 33671])).
% 54.98/35.18 tff(33673,plain,
% 54.98/35.18 (v100(constB92)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[17422, 33672])).
% 54.98/35.18 tff(33674,plain,
% 54.98/35.18 (v130(constB91, 2)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[17426, 1967, 17338])).
% 54.98/35.18 tff(33675,plain,
% 54.98/35.18 (v127(constB91, 2)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[17431, 33674])).
% 54.98/35.18 tff(33676,plain,
% 54.98/35.18 (v129(constB92, 2)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[17436, 33675])).
% 54.98/35.18 tff(33677,plain,
% 54.98/35.18 (v90(constB92, 2) | (~v100(constB92))),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[17443, 2324, 33676])).
% 54.98/35.18 tff(33678,plain,
% 54.98/35.18 (v90(constB92, 2)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33677, 33673])).
% 54.98/35.18 tff(33679,plain,
% 54.98/35.18 (v90(constB93, 2)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[17471, 33678])).
% 54.98/35.18 tff(33680,plain,
% 54.98/35.18 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB93, 2)) | v88(constB93, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB93, 2)) | v88(constB93, 2))),
% 54.98/35.18 inference(rewrite,[status(thm)],[])).
% 54.98/35.18 tff(33681,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB93, 2)) | v88(constB93, 2))),
% 54.98/35.18 inference(quant_inst,[status(thm)],[])).
% 54.98/35.18 tff(33682,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB93, 2)) | v88(constB93, 2)),
% 54.98/35.18 inference(modus_ponens,[status(thm)],[33681, 33680])).
% 54.98/35.18 tff(33683,plain,
% 54.98/35.18 (v88(constB93, 2)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33682, 13850, 33679])).
% 54.98/35.18 tff(33684,plain,
% 54.98/35.18 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB93)) | (~v88(constB93, 2)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB93)) | (~v88(constB93, 2)))),
% 54.98/35.18 inference(rewrite,[status(thm)],[])).
% 54.98/35.18 tff(33685,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v139(constB93)) | (~v88(constB93, 2)))),
% 54.98/35.18 inference(quant_inst,[status(thm)],[])).
% 54.98/35.18 tff(33686,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 2)))) | (~v139(constB93)) | (~v88(constB93, 2))),
% 54.98/35.18 inference(modus_ponens,[status(thm)],[33685, 33684])).
% 54.98/35.18 tff(33687,plain,
% 54.98/35.18 (~v139(constB93)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33686, 14100, 33683])).
% 54.98/35.18 tff(33688,plain,
% 54.98/35.18 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB93)) | (~v88(constB93, 2)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB93)) | (~v88(constB93, 2)))),
% 54.98/35.18 inference(rewrite,[status(thm)],[])).
% 54.98/35.18 tff(33689,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v140(constB93)) | (~v88(constB93, 2)))),
% 54.98/35.18 inference(quant_inst,[status(thm)],[])).
% 54.98/35.18 tff(33690,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 2)))) | (~v140(constB93)) | (~v88(constB93, 2))),
% 54.98/35.18 inference(modus_ponens,[status(thm)],[33689, 33688])).
% 54.98/35.18 tff(33691,plain,
% 54.98/35.18 (~v140(constB93)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33690, 13861, 33683])).
% 54.98/35.18 tff(33692,plain,
% 54.98/35.18 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB93) | v140(constB93) | (~v170(constB93)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB93) | v140(constB93) | (~v170(constB93)))),
% 54.98/35.18 inference(rewrite,[status(thm)],[])).
% 54.98/35.18 tff(33693,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB93) | v140(constB93) | (~v170(constB93)))),
% 54.98/35.18 inference(quant_inst,[status(thm)],[])).
% 54.98/35.18 tff(33694,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB93) | v140(constB93) | (~v170(constB93))),
% 54.98/35.18 inference(modus_ponens,[status(thm)],[33693, 33692])).
% 54.98/35.18 tff(33695,plain,
% 54.98/35.18 (~v170(constB93)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33694, 13928, 33691, 33687])).
% 54.98/35.18 tff(33696,plain,
% 54.98/35.18 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB93)) | (~v88(constB93, 2)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB93)) | (~v88(constB93, 2)))),
% 54.98/35.18 inference(rewrite,[status(thm)],[])).
% 54.98/35.18 tff(33697,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB93)) | (~v88(constB93, 2)))),
% 54.98/35.18 inference(quant_inst,[status(thm)],[])).
% 54.98/35.18 tff(33698,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB93)) | (~v88(constB93, 2))),
% 54.98/35.18 inference(modus_ponens,[status(thm)],[33697, 33696])).
% 54.98/35.18 tff(33699,plain,
% 54.98/35.18 (~v141(constB93)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33698, 13939, 33683])).
% 54.98/35.18 tff(33700,plain,
% 54.98/35.18 (((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB93) | v170(constB93) | (~v169(constB93)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB93) | v170(constB93) | (~v169(constB93)))),
% 54.98/35.18 inference(rewrite,[status(thm)],[])).
% 54.98/35.18 tff(33701,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB93) | v170(constB93) | (~v169(constB93)))),
% 54.98/35.18 inference(quant_inst,[status(thm)],[])).
% 54.98/35.18 tff(33702,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB93) | v170(constB93) | (~v169(constB93))),
% 54.98/35.18 inference(modus_ponens,[status(thm)],[33701, 33700])).
% 54.98/35.18 tff(33703,plain,
% 54.98/35.18 (v170(constB93) | (~v169(constB93))),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33702, 13953, 33699])).
% 54.98/35.18 tff(33704,plain,
% 54.98/35.18 (~v169(constB93)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33703, 33695])).
% 54.98/35.18 tff(33705,plain,
% 54.98/35.18 (~v130(constB91, 1)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[17509, 2366, 17338])).
% 54.98/35.18 tff(33706,plain,
% 54.98/35.18 (~v127(constB91, 1)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[17517, 33705])).
% 54.98/35.18 tff(33707,plain,
% 54.98/35.18 (~v129(constB92, 1)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[17522, 33706])).
% 54.98/35.18 tff(33708,plain,
% 54.98/35.18 ((~v90(constB92, 1)) | (~v100(constB92))),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[17529, 1309, 33707])).
% 54.98/35.18 tff(33709,plain,
% 54.98/35.18 (~v90(constB92, 1)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33708, 33673])).
% 54.98/35.18 tff(33710,plain,
% 54.98/35.18 (~v90(constB93, 1)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[17539, 33709])).
% 54.98/35.18 tff(33711,plain,
% 54.98/35.18 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB93, 1)) | v90(constB93, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB93, 1)) | v90(constB93, 1))),
% 54.98/35.18 inference(rewrite,[status(thm)],[])).
% 54.98/35.18 tff(33712,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB93, 1)) | v90(constB93, 1))),
% 54.98/35.18 inference(quant_inst,[status(thm)],[])).
% 54.98/35.18 tff(33713,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB93, 1)) | v90(constB93, 1)),
% 54.98/35.18 inference(modus_ponens,[status(thm)],[33712, 33711])).
% 54.98/35.18 tff(33714,plain,
% 54.98/35.18 (~v88(constB93, 1)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33713, 13998, 33710])).
% 54.98/35.18 tff(33715,plain,
% 54.98/35.18 (~v130(constB91, 0)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[17475, 2407, 17338])).
% 54.98/35.18 tff(33716,plain,
% 54.98/35.18 (~v127(constB91, 0)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[17483, 33715])).
% 54.98/35.18 tff(33717,plain,
% 54.98/35.18 (~v129(constB92, 0)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[17488, 33716])).
% 54.98/35.18 tff(33718,plain,
% 54.98/35.18 ((~v90(constB92, 0)) | (~v100(constB92))),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[17495, 1704, 33717])).
% 54.98/35.18 tff(33719,plain,
% 54.98/35.18 (~v90(constB92, 0)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33718, 33673])).
% 54.98/35.18 tff(33720,plain,
% 54.98/35.18 (~v90(constB93, 0)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[17505, 33719])).
% 54.98/35.18 tff(33721,plain,
% 54.98/35.18 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB93, 0)) | v90(constB93, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB93, 0)) | v90(constB93, 0))),
% 54.98/35.18 inference(rewrite,[status(thm)],[])).
% 54.98/35.18 tff(33722,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB93, 0)) | v90(constB93, 0))),
% 54.98/35.18 inference(quant_inst,[status(thm)],[])).
% 54.98/35.18 tff(33723,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB93, 0)) | v90(constB93, 0)),
% 54.98/35.18 inference(modus_ponens,[status(thm)],[33722, 33721])).
% 54.98/35.18 tff(33724,plain,
% 54.98/35.18 (~v88(constB93, 0)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33723, 14132, 33720])).
% 54.98/35.18 tff(33725,plain,
% 54.98/35.18 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (v88(constB93, 0) | v88(constB93, 1) | v146(constB93) | (~v88(constB93, 2)))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB93, 0) | v88(constB93, 1) | v146(constB93) | (~v88(constB93, 2)))),
% 54.98/35.18 inference(rewrite,[status(thm)],[])).
% 54.98/35.18 tff(33726,plain,
% 54.98/35.18 (((~v88(constB93, 2)) | v88(constB93, 1) | v88(constB93, 0) | v146(constB93)) <=> (v88(constB93, 0) | v88(constB93, 1) | v146(constB93) | (~v88(constB93, 2)))),
% 54.98/35.18 inference(rewrite,[status(thm)],[])).
% 54.98/35.18 tff(33727,plain,
% 54.98/35.18 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB93, 2)) | v88(constB93, 1) | v88(constB93, 0) | v146(constB93))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | (v88(constB93, 0) | v88(constB93, 1) | v146(constB93) | (~v88(constB93, 2))))),
% 54.98/35.18 inference(monotonicity,[status(thm)],[33726])).
% 54.98/35.18 tff(33728,plain,
% 54.98/35.18 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB93, 2)) | v88(constB93, 1) | v88(constB93, 0) | v146(constB93))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB93, 0) | v88(constB93, 1) | v146(constB93) | (~v88(constB93, 2)))),
% 54.98/35.18 inference(transitivity,[status(thm)],[33727, 33725])).
% 54.98/35.18 tff(33729,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | ((~v88(constB93, 2)) | v88(constB93, 1) | v88(constB93, 0) | v146(constB93))),
% 54.98/35.18 inference(quant_inst,[status(thm)],[])).
% 54.98/35.18 tff(33730,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v88(VarCurr, 1) | v88(VarCurr, 0) | v146(VarCurr))) | v88(constB93, 0) | v88(constB93, 1) | v146(constB93) | (~v88(constB93, 2))),
% 54.98/35.18 inference(modus_ponens,[status(thm)],[33729, 33728])).
% 54.98/35.18 tff(33731,plain,
% 54.98/35.18 (v146(constB93)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33730, 14146, 33683, 33724, 33714])).
% 54.98/35.18 tff(33732,plain,
% 54.98/35.18 (((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB93)) | v145(constB93))) <=> ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (~v146(constB93)) | v145(constB93))),
% 54.98/35.18 inference(rewrite,[status(thm)],[])).
% 54.98/35.18 tff(33733,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | ((~v146(constB93)) | v145(constB93))),
% 54.98/35.18 inference(quant_inst,[status(thm)],[])).
% 54.98/35.18 tff(33734,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : ((~v146(VarCurr)) | v145(VarCurr))) | (~v146(constB93)) | v145(constB93)),
% 54.98/35.18 inference(modus_ponens,[status(thm)],[33733, 33732])).
% 54.98/35.18 tff(33735,plain,
% 54.98/35.18 (v145(constB93)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33734, 14160, 33731])).
% 54.98/35.18 tff(33736,plain,
% 54.98/35.18 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v165(VarCurr))) | (v165(constB93) | (~v145(constB93)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v165(VarCurr))) | v165(constB93) | (~v145(constB93)))),
% 54.98/35.18 inference(rewrite,[status(thm)],[])).
% 54.98/35.18 tff(33737,plain,
% 54.98/35.18 (((~v145(constB93)) | v165(constB93)) <=> (v165(constB93) | (~v145(constB93)))),
% 54.98/35.18 inference(rewrite,[status(thm)],[])).
% 54.98/35.18 tff(33738,plain,
% 54.98/35.18 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v165(VarCurr))) | ((~v145(constB93)) | v165(constB93))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v165(VarCurr))) | (v165(constB93) | (~v145(constB93))))),
% 54.98/35.18 inference(monotonicity,[status(thm)],[33737])).
% 54.98/35.18 tff(33739,plain,
% 54.98/35.18 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v165(VarCurr))) | ((~v145(constB93)) | v165(constB93))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v165(VarCurr))) | v165(constB93) | (~v145(constB93)))),
% 54.98/35.18 inference(transitivity,[status(thm)],[33738, 33736])).
% 54.98/35.18 tff(33740,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v165(VarCurr))) | ((~v145(constB93)) | v165(constB93))),
% 54.98/35.18 inference(quant_inst,[status(thm)],[])).
% 54.98/35.18 tff(33741,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v165(VarCurr))) | v165(constB93) | (~v145(constB93))),
% 54.98/35.18 inference(modus_ponens,[status(thm)],[33740, 33739])).
% 54.98/35.18 tff(33742,plain,
% 54.98/35.18 (v165(constB93)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33741, 14037, 33735])).
% 54.98/35.18 tff(33743,plain,
% 54.98/35.18 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB93)) | (~v165(constB93)) | v169(constB93))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB93)) | (~v165(constB93)) | v169(constB93))),
% 54.98/35.18 inference(rewrite,[status(thm)],[])).
% 54.98/35.18 tff(33744,plain,
% 54.98/35.18 (((~v165(constB93)) | v169(constB93) | (~v162(constB93))) <=> ((~v162(constB93)) | (~v165(constB93)) | v169(constB93))),
% 54.98/35.18 inference(rewrite,[status(thm)],[])).
% 54.98/35.18 tff(33745,plain,
% 54.98/35.18 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB93)) | v169(constB93) | (~v162(constB93)))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB93)) | (~v165(constB93)) | v169(constB93)))),
% 54.98/35.18 inference(monotonicity,[status(thm)],[33744])).
% 54.98/35.18 tff(33746,plain,
% 54.98/35.18 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB93)) | v169(constB93) | (~v162(constB93)))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB93)) | (~v165(constB93)) | v169(constB93))),
% 54.98/35.18 inference(transitivity,[status(thm)],[33745, 33743])).
% 54.98/35.18 tff(33747,plain,
% 54.98/35.18 ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB93)) | v169(constB93) | (~v162(constB93)))),
% 54.98/35.18 inference(quant_inst,[status(thm)],[])).
% 54.98/35.18 tff(33748,plain,
% 54.98/35.18 ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB93)) | (~v165(constB93)) | v169(constB93)),
% 54.98/35.18 inference(modus_ponens,[status(thm)],[33747, 33746])).
% 54.98/35.18 tff(33749,plain,
% 54.98/35.18 (~v162(constB93)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33748, 14054, 33742, 33704])).
% 54.98/35.18 tff(33750,plain,
% 54.98/35.18 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB93) | (~v187(constB93)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB93) | (~v187(constB93)))),
% 54.98/35.18 inference(rewrite,[status(thm)],[])).
% 54.98/35.18 tff(33751,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB93) | (~v187(constB93)))),
% 54.98/35.18 inference(quant_inst,[status(thm)],[])).
% 54.98/35.18 tff(33752,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB93) | (~v187(constB93))),
% 54.98/35.18 inference(modus_ponens,[status(thm)],[33751, 33750])).
% 54.98/35.18 tff(33753,plain,
% 54.98/35.18 (~v187(constB93)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33752, 14071, 33749])).
% 54.98/35.18 tff(33754,plain,
% 54.98/35.18 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB93) | (~v185(constB93)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB93) | (~v185(constB93)))),
% 54.98/35.18 inference(rewrite,[status(thm)],[])).
% 54.98/35.18 tff(33755,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB93) | (~v185(constB93)))),
% 54.98/35.18 inference(quant_inst,[status(thm)],[])).
% 54.98/35.18 tff(33756,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB93) | (~v185(constB93))),
% 54.98/35.18 inference(modus_ponens,[status(thm)],[33755, 33754])).
% 54.98/35.18 tff(33757,plain,
% 54.98/35.18 (~v185(constB93)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33756, 14085, 33753])).
% 54.98/35.18 tff(33758,assumption,(v18(constB94)), introduced(assumption)).
% 54.98/35.18 tff(33759,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB94))),
% 54.98/35.18 inference(quant_inst,[status(thm)],[])).
% 54.98/35.18 tff(33760,plain,
% 54.98/35.18 ($false),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33759, 14194, 33758])).
% 54.98/35.18 tff(33761,plain,(~v18(constB94)), inference(lemma,lemma(discharge,[]))).
% 54.98/35.18 tff(33762,plain,
% 54.98/35.18 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB94) | (~v1(constB94)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB94) | (~v1(constB94)))),
% 54.98/35.18 inference(rewrite,[status(thm)],[])).
% 54.98/35.18 tff(33763,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB94) | (~v1(constB94)))),
% 54.98/35.18 inference(quant_inst,[status(thm)],[])).
% 54.98/35.18 tff(33764,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB94) | (~v1(constB94))),
% 54.98/35.18 inference(modus_ponens,[status(thm)],[33763, 33762])).
% 54.98/35.18 tff(33765,plain,
% 54.98/35.18 (v22(constB94)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33764, 14207, 585])).
% 54.98/35.18 tff(33766,plain,
% 54.98/35.18 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB94) | (~v22(constB94)) | (~v19(constB94)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB94) | (~v22(constB94)) | (~v19(constB94)))),
% 54.98/35.18 inference(rewrite,[status(thm)],[])).
% 54.98/35.18 tff(33767,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB94) | (~v22(constB94)) | (~v19(constB94)))),
% 54.98/35.18 inference(quant_inst,[status(thm)],[])).
% 54.98/35.18 tff(33768,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB94) | (~v22(constB94)) | (~v19(constB94))),
% 54.98/35.18 inference(modus_ponens,[status(thm)],[33767, 33766])).
% 54.98/35.18 tff(33769,plain,
% 54.98/35.18 (v18(constB94) | (~v19(constB94))),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33768, 14221, 33765])).
% 54.98/35.18 tff(33770,plain,
% 54.98/35.18 (~v19(constB94)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33769, 33761])).
% 54.98/35.18 tff(33771,plain,
% 54.98/35.18 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB94) | v19(constB94))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB94) | v19(constB94))),
% 54.98/35.18 inference(rewrite,[status(thm)],[])).
% 54.98/35.18 tff(33772,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB94) | v19(constB94))),
% 54.98/35.18 inference(quant_inst,[status(thm)],[])).
% 54.98/35.18 tff(33773,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB94) | v19(constB94)),
% 54.98/35.18 inference(modus_ponens,[status(thm)],[33772, 33771])).
% 54.98/35.18 tff(33774,plain,
% 54.98/35.18 (v13(constB94)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33773, 14233, 33770])).
% 54.98/35.18 tff(33775,plain,
% 54.98/35.18 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB93) | (~v13(constB94)) | (~nextState(constB93, constB94)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB93) | (~v13(constB94)) | (~nextState(constB93, constB94)))),
% 54.98/35.18 inference(rewrite,[status(thm)],[])).
% 54.98/35.18 tff(33776,plain,
% 54.98/35.18 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB93) | (~v13(constB94)) | (~nextState(constB93, constB94)))),
% 54.98/35.18 inference(quant_inst,[status(thm)],[])).
% 54.98/35.18 tff(33777,plain,
% 54.98/35.18 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB93) | (~v13(constB94)) | (~nextState(constB93, constB94))),
% 54.98/35.18 inference(modus_ponens,[status(thm)],[33776, 33775])).
% 54.98/35.18 tff(33778,plain,
% 54.98/35.18 (v9(constB93) | (~v13(constB94))),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33777, 14247, 17593])).
% 54.98/35.18 tff(33779,plain,
% 54.98/35.18 (v9(constB93)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33778, 33774])).
% 54.98/35.18 tff(33780,plain,
% 54.98/35.18 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB93) | (~v9(constB93)) | v184(constB93))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB93) | (~v9(constB93)) | v184(constB93))),
% 54.98/35.18 inference(rewrite,[status(thm)],[])).
% 54.98/35.18 tff(33781,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB93) | (~v9(constB93)) | v184(constB93))),
% 54.98/35.18 inference(quant_inst,[status(thm)],[])).
% 54.98/35.18 tff(33782,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB93) | (~v9(constB93)) | v184(constB93)),
% 54.98/35.18 inference(modus_ponens,[status(thm)],[33781, 33780])).
% 54.98/35.18 tff(33783,plain,
% 54.98/35.18 ((~v9(constB93)) | v184(constB93)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33782, 14262, 17448])).
% 54.98/35.18 tff(33784,plain,
% 54.98/35.18 (v184(constB93)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33783, 33779])).
% 54.98/35.18 tff(33785,plain,
% 54.98/35.18 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB93)) | v183(constB93))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB93)) | v183(constB93))),
% 54.98/35.18 inference(rewrite,[status(thm)],[])).
% 54.98/35.18 tff(33786,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB93)) | v183(constB93))),
% 54.98/35.18 inference(quant_inst,[status(thm)],[])).
% 54.98/35.18 tff(33787,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB93)) | v183(constB93)),
% 54.98/35.18 inference(modus_ponens,[status(thm)],[33786, 33785])).
% 54.98/35.18 tff(33788,plain,
% 54.98/35.18 (v183(constB93)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33787, 14274, 33784])).
% 54.98/35.18 tff(33789,plain,
% 54.98/35.18 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB93)) | (~v183(constB93)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB93)) | (~v183(constB93)))),
% 54.98/35.18 inference(rewrite,[status(thm)],[])).
% 54.98/35.18 tff(33790,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB93)) | (~v183(constB93)))),
% 54.98/35.18 inference(quant_inst,[status(thm)],[])).
% 54.98/35.18 tff(33791,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB93)) | (~v183(constB93))),
% 54.98/35.18 inference(modus_ponens,[status(thm)],[33790, 33789])).
% 54.98/35.18 tff(33792,plain,
% 54.98/35.18 (~v181(constB93)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33791, 14288, 33788])).
% 54.98/35.18 tff(33793,plain,
% 54.98/35.18 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB93) | v185(constB93) | (~v178(constB93)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB93) | v185(constB93) | (~v178(constB93)))),
% 54.98/35.18 inference(rewrite,[status(thm)],[])).
% 54.98/35.18 tff(33794,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB93) | v185(constB93) | (~v178(constB93)))),
% 54.98/35.18 inference(quant_inst,[status(thm)],[])).
% 54.98/35.18 tff(33795,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB93) | v185(constB93) | (~v178(constB93))),
% 54.98/35.18 inference(modus_ponens,[status(thm)],[33794, 33793])).
% 54.98/35.18 tff(33796,plain,
% 54.98/35.18 (v185(constB93) | (~v178(constB93))),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33795, 14302, 33792])).
% 54.98/35.18 tff(33797,plain,
% 54.98/35.18 (~v178(constB93)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33796, 33757])).
% 54.98/35.18 tff(33798,plain,
% 54.98/35.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB93, constB94)) | v178(constB93) | (~v180(constB94)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB93, constB94)) | v178(constB93) | (~v180(constB94)))),
% 54.98/35.18 inference(rewrite,[status(thm)],[])).
% 54.98/35.18 tff(33799,plain,
% 54.98/35.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB93, constB94)) | v178(constB93) | (~v180(constB94)))),
% 54.98/35.18 inference(quant_inst,[status(thm)],[])).
% 54.98/35.18 tff(33800,plain,
% 54.98/35.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB93, constB94)) | v178(constB93) | (~v180(constB94))),
% 54.98/35.18 inference(modus_ponens,[status(thm)],[33799, 33798])).
% 54.98/35.18 tff(33801,plain,
% 54.98/35.18 (v178(constB93) | (~v180(constB94))),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33800, 14317, 17593])).
% 54.98/35.18 tff(33802,plain,
% 54.98/35.18 (~v180(constB94)),
% 54.98/35.18 inference(unit_resolution,[status(thm)],[33801, 33797])).
% 54.98/35.18 tff(33803,plain,
% 54.98/35.18 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB94) | (~v181(constB94)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB94) | (~v181(constB94)))),
% 54.98/35.18 inference(rewrite,[status(thm)],[])).
% 54.98/35.18 tff(33804,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB94) | (~v181(constB94)))),
% 54.98/35.18 inference(quant_inst,[status(thm)],[])).
% 54.98/35.18 tff(33805,plain,
% 54.98/35.18 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB94) | (~v181(constB94))),
% 54.98/35.19 inference(modus_ponens,[status(thm)],[33804, 33803])).
% 54.98/35.19 tff(33806,plain,
% 54.98/35.19 (~v181(constB94)),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[33805, 14332, 33802])).
% 54.98/35.19 tff(33807,plain,
% 54.98/35.19 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB94)) | (~v184(constB94)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB94)) | (~v184(constB94)))),
% 54.98/35.19 inference(rewrite,[status(thm)],[])).
% 54.98/35.19 tff(33808,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB94)) | (~v184(constB94)))),
% 54.98/35.19 inference(quant_inst,[status(thm)],[])).
% 54.98/35.19 tff(33809,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB94)) | (~v184(constB94))),
% 54.98/35.19 inference(modus_ponens,[status(thm)],[33808, 33807])).
% 54.98/35.19 tff(33810,plain,
% 54.98/35.19 (~v184(constB94)),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[33809, 88, 585])).
% 54.98/35.19 tff(33811,plain,
% 54.98/35.19 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB94) | (~v187(constB94)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB94) | (~v187(constB94)))),
% 54.98/35.19 inference(rewrite,[status(thm)],[])).
% 54.98/35.19 tff(33812,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB94) | (~v187(constB94)))),
% 54.98/35.19 inference(quant_inst,[status(thm)],[])).
% 54.98/35.19 tff(33813,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB94) | (~v187(constB94))),
% 54.98/35.19 inference(modus_ponens,[status(thm)],[33812, 33811])).
% 54.98/35.19 tff(33814,plain,
% 54.98/35.19 (~v187(constB94)),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[33813, 14350, 33810])).
% 54.98/35.19 tff(33815,plain,
% 54.98/35.19 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB94) | (~v185(constB94)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB94) | (~v185(constB94)))),
% 54.98/35.19 inference(rewrite,[status(thm)],[])).
% 54.98/35.19 tff(33816,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB94) | (~v185(constB94)))),
% 54.98/35.19 inference(quant_inst,[status(thm)],[])).
% 54.98/35.19 tff(33817,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB94) | (~v185(constB94))),
% 54.98/35.19 inference(modus_ponens,[status(thm)],[33816, 33815])).
% 54.98/35.19 tff(33818,plain,
% 54.98/35.19 (~v185(constB94)),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[33817, 14085, 33814])).
% 54.98/35.19 tff(33819,plain,
% 54.98/35.19 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB94) | v185(constB94) | (~v178(constB94)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB94) | v185(constB94) | (~v178(constB94)))),
% 54.98/35.19 inference(rewrite,[status(thm)],[])).
% 54.98/35.19 tff(33820,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB94) | v185(constB94) | (~v178(constB94)))),
% 54.98/35.19 inference(quant_inst,[status(thm)],[])).
% 54.98/35.19 tff(33821,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB94) | v185(constB94) | (~v178(constB94))),
% 54.98/35.19 inference(modus_ponens,[status(thm)],[33820, 33819])).
% 54.98/35.19 tff(33822,plain,
% 54.98/35.19 (v181(constB94) | (~v178(constB94))),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[33821, 14302, 33818])).
% 54.98/35.19 tff(33823,plain,
% 54.98/35.19 (~v178(constB94)),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[33822, 33806])).
% 54.98/35.19 tff(33824,plain,
% 54.98/35.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB94, constB95)) | v178(constB94) | (~v180(constB95)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB94, constB95)) | v178(constB94) | (~v180(constB95)))),
% 54.98/35.19 inference(rewrite,[status(thm)],[])).
% 54.98/35.19 tff(33825,plain,
% 54.98/35.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB94, constB95)) | v178(constB94) | (~v180(constB95)))),
% 54.98/35.19 inference(quant_inst,[status(thm)],[])).
% 54.98/35.19 tff(33826,plain,
% 54.98/35.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB94, constB95)) | v178(constB94) | (~v180(constB95))),
% 54.98/35.19 inference(modus_ponens,[status(thm)],[33825, 33824])).
% 54.98/35.19 tff(33827,plain,
% 54.98/35.19 (v178(constB94) | (~v180(constB95))),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[33826, 14317, 17656])).
% 54.98/35.19 tff(33828,plain,
% 54.98/35.19 (~v180(constB95)),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[33827, 33823])).
% 54.98/35.19 tff(33829,plain,
% 54.98/35.19 ($false),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[33828, 33665])).
% 54.98/35.19 tff(33830,plain,((~(constB95 = sK_VarCurr)) | (~v180(sK_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 54.98/35.19 tff(33831,plain,
% 54.98/35.19 (~(constB95 = sK_VarCurr)),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[33830, 815])).
% 54.98/35.19 tff(33832,assumption,(constB159 = sK_VarCurr), introduced(assumption)).
% 54.98/35.19 tff(33833,plain,
% 54.98/35.19 (v180(constB159) <=> v180(sK_VarCurr)),
% 54.98/35.19 inference(monotonicity,[status(thm)],[33832])).
% 54.98/35.19 tff(33834,plain,
% 54.98/35.19 (v180(sK_VarCurr) <=> v180(constB159)),
% 54.98/35.19 inference(symmetry,[status(thm)],[33833])).
% 54.98/35.19 tff(33835,plain,
% 54.98/35.19 (v180(constB159)),
% 54.98/35.19 inference(modus_ponens,[status(thm)],[819, 33834])).
% 54.98/35.19 tff(33836,plain,
% 54.98/35.19 (~v130(constB155, 0)),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[30414, 3274, 30484])).
% 54.98/35.19 tff(33837,plain,
% 54.98/35.19 (~v127(constB155, 0)),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[29579, 33836])).
% 54.98/35.19 tff(33838,plain,
% 54.98/35.19 (~v129(constB156, 0)),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[29587, 33837])).
% 54.98/35.19 tff(33839,plain,
% 54.98/35.19 ((~v90(constB156, 0)) | (~v100(constB156))),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[29626, 1704, 33838])).
% 54.98/35.19 tff(33840,plain,
% 54.98/35.19 (~v90(constB156, 0)),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[33839, 30490])).
% 54.98/35.19 tff(33841,plain,
% 54.98/35.19 (~v90(constB157, 0)),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[29636, 33840])).
% 54.98/35.19 tff(33842,plain,
% 54.98/35.19 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB157, 0)) | v90(constB157, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB157, 0)) | v90(constB157, 0))),
% 54.98/35.19 inference(rewrite,[status(thm)],[])).
% 54.98/35.19 tff(33843,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB157, 0)) | v90(constB157, 0))),
% 54.98/35.19 inference(quant_inst,[status(thm)],[])).
% 54.98/35.19 tff(33844,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB157, 0)) | v90(constB157, 0)),
% 54.98/35.19 inference(modus_ponens,[status(thm)],[33843, 33842])).
% 54.98/35.19 tff(33845,plain,
% 54.98/35.19 (~v88(constB157, 0)),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[33844, 14132, 33841])).
% 54.98/35.19 tff(33846,plain,
% 54.98/35.19 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB157, 2)) | v88(constB157, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB157, 2)) | v88(constB157, 2))),
% 54.98/35.19 inference(rewrite,[status(thm)],[])).
% 54.98/35.19 tff(33847,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB157, 2)) | v88(constB157, 2))),
% 54.98/35.19 inference(quant_inst,[status(thm)],[])).
% 54.98/35.19 tff(33848,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB157, 2)) | v88(constB157, 2)),
% 54.98/35.19 inference(modus_ponens,[status(thm)],[33847, 33846])).
% 54.98/35.19 tff(33849,plain,
% 54.98/35.19 (v88(constB157, 2)),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[33848, 13850, 32727])).
% 54.98/35.19 tff(33850,plain,
% 54.98/35.19 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB157, 1)) | v88(constB157, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB157, 1)) | v88(constB157, 1))),
% 54.98/35.19 inference(rewrite,[status(thm)],[])).
% 54.98/35.19 tff(33851,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB157, 1)) | v88(constB157, 1))),
% 54.98/35.19 inference(quant_inst,[status(thm)],[])).
% 54.98/35.19 tff(33852,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB157, 1)) | v88(constB157, 1)),
% 54.98/35.19 inference(modus_ponens,[status(thm)],[33851, 33850])).
% 54.98/35.19 tff(33853,plain,
% 54.98/35.19 (v88(constB157, 1)),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[33852, 24936, 30521])).
% 54.98/35.19 tff(33854,plain,
% 54.98/35.19 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (v88(constB157, 0) | (~v88(constB157, 2)) | (~v88(constB157, 1)) | v144(constB157))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB157, 0) | (~v88(constB157, 2)) | (~v88(constB157, 1)) | v144(constB157))),
% 54.98/35.19 inference(rewrite,[status(thm)],[])).
% 54.98/35.19 tff(33855,plain,
% 54.98/35.19 (((~v88(constB157, 2)) | (~v88(constB157, 1)) | v88(constB157, 0) | v144(constB157)) <=> (v88(constB157, 0) | (~v88(constB157, 2)) | (~v88(constB157, 1)) | v144(constB157))),
% 54.98/35.19 inference(rewrite,[status(thm)],[])).
% 54.98/35.19 tff(33856,plain,
% 54.98/35.19 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB157, 2)) | (~v88(constB157, 1)) | v88(constB157, 0) | v144(constB157))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (v88(constB157, 0) | (~v88(constB157, 2)) | (~v88(constB157, 1)) | v144(constB157)))),
% 54.98/35.19 inference(monotonicity,[status(thm)],[33855])).
% 54.98/35.19 tff(33857,plain,
% 54.98/35.19 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB157, 2)) | (~v88(constB157, 1)) | v88(constB157, 0) | v144(constB157))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB157, 0) | (~v88(constB157, 2)) | (~v88(constB157, 1)) | v144(constB157))),
% 54.98/35.19 inference(transitivity,[status(thm)],[33856, 33854])).
% 54.98/35.19 tff(33858,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB157, 2)) | (~v88(constB157, 1)) | v88(constB157, 0) | v144(constB157))),
% 54.98/35.19 inference(quant_inst,[status(thm)],[])).
% 54.98/35.19 tff(33859,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB157, 0) | (~v88(constB157, 2)) | (~v88(constB157, 1)) | v144(constB157)),
% 54.98/35.19 inference(modus_ponens,[status(thm)],[33858, 33857])).
% 54.98/35.19 tff(33860,plain,
% 54.98/35.19 (v144(constB157)),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[33859, 31966, 33853, 33849, 33845])).
% 54.98/35.19 tff(33861,plain,
% 54.98/35.19 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB157)) | v142(constB157))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB157)) | v142(constB157))),
% 54.98/35.19 inference(rewrite,[status(thm)],[])).
% 54.98/35.19 tff(33862,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB157)) | v142(constB157))),
% 54.98/35.19 inference(quant_inst,[status(thm)],[])).
% 54.98/35.19 tff(33863,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB157)) | v142(constB157)),
% 54.98/35.19 inference(modus_ponens,[status(thm)],[33862, 33861])).
% 54.98/35.19 tff(33864,plain,
% 54.98/35.19 (v142(constB157)),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[33863, 31980, 33860])).
% 54.98/35.19 tff(33865,plain,
% 54.98/35.19 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v166(VarCurr))) | ((~v142(constB157)) | v166(constB157))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v166(VarCurr))) | (~v142(constB157)) | v166(constB157))),
% 54.98/35.19 inference(rewrite,[status(thm)],[])).
% 54.98/35.19 tff(33866,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v166(VarCurr))) | ((~v142(constB157)) | v166(constB157))),
% 54.98/35.19 inference(quant_inst,[status(thm)],[])).
% 54.98/35.19 tff(33867,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v166(VarCurr))) | (~v142(constB157)) | v166(constB157)),
% 54.98/35.19 inference(modus_ponens,[status(thm)],[33866, 33865])).
% 54.98/35.19 tff(33868,plain,
% 54.98/35.19 (v166(constB157)),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[33867, 24978, 33864])).
% 54.98/35.19 tff(33869,plain,
% 54.98/35.19 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (v165(constB157) | (~v166(constB157)))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB157) | (~v166(constB157)))),
% 54.98/35.19 inference(rewrite,[status(thm)],[])).
% 54.98/35.19 tff(33870,plain,
% 54.98/35.19 (((~v166(constB157)) | v165(constB157)) <=> (v165(constB157) | (~v166(constB157)))),
% 54.98/35.19 inference(rewrite,[status(thm)],[])).
% 54.98/35.19 tff(33871,plain,
% 54.98/35.19 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB157)) | v165(constB157))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (v165(constB157) | (~v166(constB157))))),
% 54.98/35.19 inference(monotonicity,[status(thm)],[33870])).
% 54.98/35.19 tff(33872,plain,
% 54.98/35.19 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB157)) | v165(constB157))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB157) | (~v166(constB157)))),
% 54.98/35.19 inference(transitivity,[status(thm)],[33871, 33869])).
% 54.98/35.19 tff(33873,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB157)) | v165(constB157))),
% 54.98/35.19 inference(quant_inst,[status(thm)],[])).
% 54.98/35.19 tff(33874,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB157) | (~v166(constB157))),
% 54.98/35.19 inference(modus_ponens,[status(thm)],[33873, 33872])).
% 54.98/35.19 tff(33875,plain,
% 54.98/35.19 (v165(constB157)),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[33874, 24989, 33868])).
% 54.98/35.19 tff(33876,plain,
% 54.98/35.19 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB157)) | (~v88(constB157, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB157)) | (~v88(constB157, 1)))),
% 54.98/35.19 inference(rewrite,[status(thm)],[])).
% 54.98/35.19 tff(33877,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB157)) | (~v88(constB157, 1)))),
% 54.98/35.19 inference(quant_inst,[status(thm)],[])).
% 54.98/35.19 tff(33878,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB157)) | (~v88(constB157, 1))),
% 54.98/35.19 inference(modus_ponens,[status(thm)],[33877, 33876])).
% 54.98/35.19 tff(33879,plain,
% 54.98/35.19 (~v139(constB157)),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[33878, 25003, 33853])).
% 54.98/35.19 tff(33880,plain,
% 54.98/35.19 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB157)) | (~v88(constB157, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB157)) | (~v88(constB157, 1)))),
% 54.98/35.19 inference(rewrite,[status(thm)],[])).
% 54.98/35.19 tff(33881,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB157)) | (~v88(constB157, 1)))),
% 54.98/35.19 inference(quant_inst,[status(thm)],[])).
% 54.98/35.19 tff(33882,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB157)) | (~v88(constB157, 1))),
% 54.98/35.19 inference(modus_ponens,[status(thm)],[33881, 33880])).
% 54.98/35.19 tff(33883,plain,
% 54.98/35.19 (~v140(constB157)),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[33882, 25014, 33853])).
% 54.98/35.19 tff(33884,plain,
% 54.98/35.19 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB157) | v140(constB157) | (~v170(constB157)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB157) | v140(constB157) | (~v170(constB157)))),
% 54.98/35.19 inference(rewrite,[status(thm)],[])).
% 54.98/35.19 tff(33885,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB157) | v140(constB157) | (~v170(constB157)))),
% 54.98/35.19 inference(quant_inst,[status(thm)],[])).
% 54.98/35.19 tff(33886,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB157) | v140(constB157) | (~v170(constB157))),
% 54.98/35.19 inference(modus_ponens,[status(thm)],[33885, 33884])).
% 54.98/35.19 tff(33887,plain,
% 54.98/35.19 (~v170(constB157)),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[33886, 13928, 33883, 33879])).
% 54.98/35.19 tff(33888,plain,
% 54.98/35.19 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB157)) | (~v88(constB157, 2)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB157)) | (~v88(constB157, 2)))),
% 54.98/35.19 inference(rewrite,[status(thm)],[])).
% 54.98/35.19 tff(33889,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB157)) | (~v88(constB157, 2)))),
% 54.98/35.19 inference(quant_inst,[status(thm)],[])).
% 54.98/35.19 tff(33890,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB157)) | (~v88(constB157, 2))),
% 54.98/35.19 inference(modus_ponens,[status(thm)],[33889, 33888])).
% 54.98/35.19 tff(33891,plain,
% 54.98/35.19 (~v141(constB157)),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[33890, 13939, 33849])).
% 54.98/35.19 tff(33892,plain,
% 54.98/35.19 (((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB157) | v170(constB157) | (~v169(constB157)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB157) | v170(constB157) | (~v169(constB157)))),
% 54.98/35.19 inference(rewrite,[status(thm)],[])).
% 54.98/35.19 tff(33893,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB157) | v170(constB157) | (~v169(constB157)))),
% 54.98/35.19 inference(quant_inst,[status(thm)],[])).
% 54.98/35.19 tff(33894,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB157) | v170(constB157) | (~v169(constB157))),
% 54.98/35.19 inference(modus_ponens,[status(thm)],[33893, 33892])).
% 54.98/35.19 tff(33895,plain,
% 54.98/35.19 (~v169(constB157)),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[33894, 13953, 33891, 33887])).
% 54.98/35.19 tff(33896,plain,
% 54.98/35.19 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB157)) | (~v165(constB157)) | v169(constB157))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB157)) | (~v165(constB157)) | v169(constB157))),
% 54.98/35.19 inference(rewrite,[status(thm)],[])).
% 54.98/35.19 tff(33897,plain,
% 54.98/35.19 (((~v165(constB157)) | v169(constB157) | (~v162(constB157))) <=> ((~v162(constB157)) | (~v165(constB157)) | v169(constB157))),
% 54.98/35.19 inference(rewrite,[status(thm)],[])).
% 54.98/35.19 tff(33898,plain,
% 54.98/35.19 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB157)) | v169(constB157) | (~v162(constB157)))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB157)) | (~v165(constB157)) | v169(constB157)))),
% 54.98/35.19 inference(monotonicity,[status(thm)],[33897])).
% 54.98/35.19 tff(33899,plain,
% 54.98/35.19 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB157)) | v169(constB157) | (~v162(constB157)))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB157)) | (~v165(constB157)) | v169(constB157))),
% 54.98/35.19 inference(transitivity,[status(thm)],[33898, 33896])).
% 54.98/35.19 tff(33900,plain,
% 54.98/35.19 ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB157)) | v169(constB157) | (~v162(constB157)))),
% 54.98/35.19 inference(quant_inst,[status(thm)],[])).
% 54.98/35.19 tff(33901,plain,
% 54.98/35.19 ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB157)) | (~v165(constB157)) | v169(constB157)),
% 54.98/35.19 inference(modus_ponens,[status(thm)],[33900, 33899])).
% 54.98/35.19 tff(33902,plain,
% 54.98/35.19 ((~v162(constB157)) | (~v165(constB157))),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[33901, 14054, 33895])).
% 54.98/35.19 tff(33903,plain,
% 54.98/35.19 (~v162(constB157)),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[33902, 33875])).
% 54.98/35.19 tff(33904,plain,
% 54.98/35.19 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB157) | (~v187(constB157)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB157) | (~v187(constB157)))),
% 54.98/35.19 inference(rewrite,[status(thm)],[])).
% 54.98/35.19 tff(33905,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB157) | (~v187(constB157)))),
% 54.98/35.19 inference(quant_inst,[status(thm)],[])).
% 54.98/35.19 tff(33906,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB157) | (~v187(constB157))),
% 54.98/35.19 inference(modus_ponens,[status(thm)],[33905, 33904])).
% 54.98/35.19 tff(33907,plain,
% 54.98/35.19 (~v187(constB157)),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[33906, 14071, 33903])).
% 54.98/35.19 tff(33908,plain,
% 54.98/35.19 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB157) | (~v185(constB157)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB157) | (~v185(constB157)))),
% 54.98/35.19 inference(rewrite,[status(thm)],[])).
% 54.98/35.19 tff(33909,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB157) | (~v185(constB157)))),
% 54.98/35.19 inference(quant_inst,[status(thm)],[])).
% 54.98/35.19 tff(33910,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB157) | (~v185(constB157))),
% 54.98/35.19 inference(modus_ponens,[status(thm)],[33909, 33908])).
% 54.98/35.19 tff(33911,plain,
% 54.98/35.19 (~v185(constB157)),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[33910, 14085, 33907])).
% 54.98/35.19 tff(33912,assumption,(v18(constB158)), introduced(assumption)).
% 54.98/35.19 tff(33913,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB158))),
% 54.98/35.19 inference(quant_inst,[status(thm)],[])).
% 54.98/35.19 tff(33914,plain,
% 54.98/35.19 ($false),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[33913, 14194, 33912])).
% 54.98/35.19 tff(33915,plain,(~v18(constB158)), inference(lemma,lemma(discharge,[]))).
% 54.98/35.19 tff(33916,plain,
% 54.98/35.19 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB158) | (~v1(constB158)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB158) | (~v1(constB158)))),
% 54.98/35.19 inference(rewrite,[status(thm)],[])).
% 54.98/35.19 tff(33917,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB158) | (~v1(constB158)))),
% 54.98/35.19 inference(quant_inst,[status(thm)],[])).
% 54.98/35.19 tff(33918,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB158) | (~v1(constB158))),
% 54.98/35.19 inference(modus_ponens,[status(thm)],[33917, 33916])).
% 54.98/35.19 tff(33919,plain,
% 54.98/35.19 (v22(constB158)),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[33918, 14207, 29121])).
% 54.98/35.19 tff(33920,plain,
% 54.98/35.19 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB158) | (~v22(constB158)) | (~v19(constB158)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB158) | (~v22(constB158)) | (~v19(constB158)))),
% 54.98/35.19 inference(rewrite,[status(thm)],[])).
% 54.98/35.19 tff(33921,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB158) | (~v22(constB158)) | (~v19(constB158)))),
% 54.98/35.19 inference(quant_inst,[status(thm)],[])).
% 54.98/35.19 tff(33922,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB158) | (~v22(constB158)) | (~v19(constB158))),
% 54.98/35.19 inference(modus_ponens,[status(thm)],[33921, 33920])).
% 54.98/35.19 tff(33923,plain,
% 54.98/35.19 (v18(constB158) | (~v19(constB158))),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[33922, 14221, 33919])).
% 54.98/35.19 tff(33924,plain,
% 54.98/35.19 (~v19(constB158)),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[33923, 33915])).
% 54.98/35.19 tff(33925,plain,
% 54.98/35.19 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB158) | v19(constB158))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB158) | v19(constB158))),
% 54.98/35.19 inference(rewrite,[status(thm)],[])).
% 54.98/35.19 tff(33926,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB158) | v19(constB158))),
% 54.98/35.19 inference(quant_inst,[status(thm)],[])).
% 54.98/35.19 tff(33927,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB158) | v19(constB158)),
% 54.98/35.19 inference(modus_ponens,[status(thm)],[33926, 33925])).
% 54.98/35.19 tff(33928,plain,
% 54.98/35.19 (v13(constB158)),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[33927, 14233, 33924])).
% 54.98/35.19 tff(33929,plain,
% 54.98/35.19 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB157) | (~v13(constB158)) | (~nextState(constB157, constB158)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB157) | (~v13(constB158)) | (~nextState(constB157, constB158)))),
% 54.98/35.19 inference(rewrite,[status(thm)],[])).
% 54.98/35.19 tff(33930,plain,
% 54.98/35.19 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB157) | (~v13(constB158)) | (~nextState(constB157, constB158)))),
% 54.98/35.19 inference(quant_inst,[status(thm)],[])).
% 54.98/35.19 tff(33931,plain,
% 54.98/35.19 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB157) | (~v13(constB158)) | (~nextState(constB157, constB158))),
% 54.98/35.19 inference(modus_ponens,[status(thm)],[33930, 33929])).
% 54.98/35.19 tff(33932,plain,
% 54.98/35.19 (v9(constB157) | (~v13(constB158))),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[33931, 14247, 29109])).
% 54.98/35.19 tff(33933,plain,
% 54.98/35.19 (v9(constB157)),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[33932, 33928])).
% 54.98/35.19 tff(33934,plain,
% 54.98/35.19 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB157) | (~v9(constB157)) | v184(constB157))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB157) | (~v9(constB157)) | v184(constB157))),
% 54.98/35.19 inference(rewrite,[status(thm)],[])).
% 54.98/35.19 tff(33935,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB157) | (~v9(constB157)) | v184(constB157))),
% 54.98/35.19 inference(quant_inst,[status(thm)],[])).
% 54.98/35.19 tff(33936,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB157) | (~v9(constB157)) | v184(constB157)),
% 54.98/35.19 inference(modus_ponens,[status(thm)],[33935, 33934])).
% 54.98/35.19 tff(33937,plain,
% 54.98/35.19 ((~v9(constB157)) | v184(constB157)),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[33936, 14262, 29106])).
% 54.98/35.19 tff(33938,plain,
% 54.98/35.19 (v184(constB157)),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[33937, 33933])).
% 54.98/35.19 tff(33939,plain,
% 54.98/35.19 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB157)) | v183(constB157))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB157)) | v183(constB157))),
% 54.98/35.19 inference(rewrite,[status(thm)],[])).
% 54.98/35.19 tff(33940,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB157)) | v183(constB157))),
% 54.98/35.19 inference(quant_inst,[status(thm)],[])).
% 54.98/35.19 tff(33941,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB157)) | v183(constB157)),
% 54.98/35.19 inference(modus_ponens,[status(thm)],[33940, 33939])).
% 54.98/35.19 tff(33942,plain,
% 54.98/35.19 (v183(constB157)),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[33941, 14274, 33938])).
% 54.98/35.19 tff(33943,plain,
% 54.98/35.19 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB157)) | (~v183(constB157)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB157)) | (~v183(constB157)))),
% 54.98/35.19 inference(rewrite,[status(thm)],[])).
% 54.98/35.19 tff(33944,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB157)) | (~v183(constB157)))),
% 54.98/35.19 inference(quant_inst,[status(thm)],[])).
% 54.98/35.19 tff(33945,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB157)) | (~v183(constB157))),
% 54.98/35.19 inference(modus_ponens,[status(thm)],[33944, 33943])).
% 54.98/35.19 tff(33946,plain,
% 54.98/35.19 (~v181(constB157)),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[33945, 14288, 33942])).
% 54.98/35.19 tff(33947,plain,
% 54.98/35.19 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB157) | v185(constB157) | (~v178(constB157)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB157) | v185(constB157) | (~v178(constB157)))),
% 54.98/35.19 inference(rewrite,[status(thm)],[])).
% 54.98/35.19 tff(33948,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB157) | v185(constB157) | (~v178(constB157)))),
% 54.98/35.19 inference(quant_inst,[status(thm)],[])).
% 54.98/35.19 tff(33949,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB157) | v185(constB157) | (~v178(constB157))),
% 54.98/35.19 inference(modus_ponens,[status(thm)],[33948, 33947])).
% 54.98/35.19 tff(33950,plain,
% 54.98/35.19 (v185(constB157) | (~v178(constB157))),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[33949, 14302, 33946])).
% 54.98/35.19 tff(33951,plain,
% 54.98/35.19 (~v178(constB157)),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[33950, 33911])).
% 54.98/35.19 tff(33952,plain,
% 54.98/35.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB157, constB158)) | v178(constB157) | (~v180(constB158)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB157, constB158)) | v178(constB157) | (~v180(constB158)))),
% 54.98/35.19 inference(rewrite,[status(thm)],[])).
% 54.98/35.19 tff(33953,plain,
% 54.98/35.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB157, constB158)) | v178(constB157) | (~v180(constB158)))),
% 54.98/35.19 inference(quant_inst,[status(thm)],[])).
% 54.98/35.19 tff(33954,plain,
% 54.98/35.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB157, constB158)) | v178(constB157) | (~v180(constB158))),
% 54.98/35.19 inference(modus_ponens,[status(thm)],[33953, 33952])).
% 54.98/35.19 tff(33955,plain,
% 54.98/35.19 (v178(constB157) | (~v180(constB158))),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[33954, 14317, 29109])).
% 54.98/35.19 tff(33956,plain,
% 54.98/35.19 (~v180(constB158)),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[33955, 33951])).
% 54.98/35.19 tff(33957,plain,
% 54.98/35.19 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB158) | (~v181(constB158)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB158) | (~v181(constB158)))),
% 54.98/35.19 inference(rewrite,[status(thm)],[])).
% 54.98/35.19 tff(33958,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB158) | (~v181(constB158)))),
% 54.98/35.19 inference(quant_inst,[status(thm)],[])).
% 54.98/35.19 tff(33959,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB158) | (~v181(constB158))),
% 54.98/35.19 inference(modus_ponens,[status(thm)],[33958, 33957])).
% 54.98/35.19 tff(33960,plain,
% 54.98/35.19 (~v181(constB158)),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[33959, 14332, 33956])).
% 54.98/35.19 tff(33961,plain,
% 54.98/35.19 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB158)) | (~v184(constB158)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB158)) | (~v184(constB158)))),
% 54.98/35.19 inference(rewrite,[status(thm)],[])).
% 54.98/35.19 tff(33962,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB158)) | (~v184(constB158)))),
% 54.98/35.19 inference(quant_inst,[status(thm)],[])).
% 54.98/35.19 tff(33963,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB158)) | (~v184(constB158))),
% 54.98/35.19 inference(modus_ponens,[status(thm)],[33962, 33961])).
% 54.98/35.19 tff(33964,plain,
% 54.98/35.19 (~v184(constB158)),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[33963, 88, 29121])).
% 54.98/35.19 tff(33965,plain,
% 54.98/35.19 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB158) | (~v187(constB158)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB158) | (~v187(constB158)))),
% 54.98/35.19 inference(rewrite,[status(thm)],[])).
% 54.98/35.19 tff(33966,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB158) | (~v187(constB158)))),
% 54.98/35.19 inference(quant_inst,[status(thm)],[])).
% 54.98/35.19 tff(33967,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB158) | (~v187(constB158))),
% 54.98/35.19 inference(modus_ponens,[status(thm)],[33966, 33965])).
% 54.98/35.19 tff(33968,plain,
% 54.98/35.19 (~v187(constB158)),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[33967, 14350, 33964])).
% 54.98/35.19 tff(33969,plain,
% 54.98/35.19 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB158) | (~v185(constB158)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB158) | (~v185(constB158)))),
% 54.98/35.19 inference(rewrite,[status(thm)],[])).
% 54.98/35.19 tff(33970,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB158) | (~v185(constB158)))),
% 54.98/35.19 inference(quant_inst,[status(thm)],[])).
% 54.98/35.19 tff(33971,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB158) | (~v185(constB158))),
% 54.98/35.19 inference(modus_ponens,[status(thm)],[33970, 33969])).
% 54.98/35.19 tff(33972,plain,
% 54.98/35.19 (~v185(constB158)),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[33971, 14085, 33968])).
% 54.98/35.19 tff(33973,plain,
% 54.98/35.19 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB158) | v185(constB158) | (~v178(constB158)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB158) | v185(constB158) | (~v178(constB158)))),
% 54.98/35.19 inference(rewrite,[status(thm)],[])).
% 54.98/35.19 tff(33974,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB158) | v185(constB158) | (~v178(constB158)))),
% 54.98/35.19 inference(quant_inst,[status(thm)],[])).
% 54.98/35.19 tff(33975,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB158) | v185(constB158) | (~v178(constB158))),
% 54.98/35.19 inference(modus_ponens,[status(thm)],[33974, 33973])).
% 54.98/35.19 tff(33976,plain,
% 54.98/35.19 (v181(constB158) | (~v178(constB158))),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[33975, 14302, 33972])).
% 54.98/35.19 tff(33977,plain,
% 54.98/35.19 (~v178(constB158)),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[33976, 33960])).
% 54.98/35.19 tff(33978,plain,
% 54.98/35.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB158, constB159)) | v178(constB158) | (~v180(constB159)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB158, constB159)) | v178(constB158) | (~v180(constB159)))),
% 54.98/35.19 inference(rewrite,[status(thm)],[])).
% 54.98/35.19 tff(33979,plain,
% 54.98/35.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB158, constB159)) | v178(constB158) | (~v180(constB159)))),
% 54.98/35.19 inference(quant_inst,[status(thm)],[])).
% 54.98/35.19 tff(33980,plain,
% 54.98/35.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB158, constB159)) | v178(constB158) | (~v180(constB159))),
% 54.98/35.19 inference(modus_ponens,[status(thm)],[33979, 33978])).
% 54.98/35.19 tff(33981,plain,
% 54.98/35.19 (v178(constB158) | (~v180(constB159))),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[33980, 14317, 29270])).
% 54.98/35.19 tff(33982,plain,
% 54.98/35.19 (~v180(constB159)),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[33981, 33977])).
% 54.98/35.19 tff(33983,plain,
% 54.98/35.19 ($false),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[33982, 33835])).
% 54.98/35.19 tff(33984,plain,((~(constB159 = sK_VarCurr)) | (~v180(sK_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 54.98/35.19 tff(33985,plain,
% 54.98/35.19 (~(constB159 = sK_VarCurr)),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[33984, 815])).
% 54.98/35.19 tff(33986,assumption,(constB135 = sK_VarCurr), introduced(assumption)).
% 54.98/35.19 tff(33987,plain,
% 54.98/35.19 (v180(constB135) <=> v180(sK_VarCurr)),
% 54.98/35.19 inference(monotonicity,[status(thm)],[33986])).
% 54.98/35.19 tff(33988,plain,
% 54.98/35.19 (v180(sK_VarCurr) <=> v180(constB135)),
% 54.98/35.19 inference(symmetry,[status(thm)],[33987])).
% 54.98/35.19 tff(33989,plain,
% 54.98/35.19 (v180(constB135)),
% 54.98/35.19 inference(modus_ponens,[status(thm)],[819, 33988])).
% 54.98/35.19 tff(33990,plain,
% 54.98/35.19 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB133, 0)) | v90(constB133, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB133, 0)) | v90(constB133, 0))),
% 54.98/35.19 inference(rewrite,[status(thm)],[])).
% 54.98/35.19 tff(33991,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB133, 0)) | v90(constB133, 0))),
% 54.98/35.19 inference(quant_inst,[status(thm)],[])).
% 54.98/35.19 tff(33992,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB133, 0)) | v90(constB133, 0)),
% 54.98/35.19 inference(modus_ponens,[status(thm)],[33991, 33990])).
% 54.98/35.19 tff(33993,plain,
% 54.98/35.19 (~v88(constB133, 0)),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[33992, 14132, 22602])).
% 54.98/35.19 tff(33994,plain,
% 54.98/35.19 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB133, 2)) | v88(constB133, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB133, 2)) | v88(constB133, 2))),
% 54.98/35.19 inference(rewrite,[status(thm)],[])).
% 54.98/35.19 tff(33995,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB133, 2)) | v88(constB133, 2))),
% 54.98/35.19 inference(quant_inst,[status(thm)],[])).
% 54.98/35.19 tff(33996,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB133, 2)) | v88(constB133, 2)),
% 54.98/35.19 inference(modus_ponens,[status(thm)],[33995, 33994])).
% 54.98/35.19 tff(33997,plain,
% 54.98/35.19 (v88(constB133, 2)),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[33996, 13850, 22262])).
% 54.98/35.19 tff(33998,plain,
% 54.98/35.19 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB133, 1)) | v88(constB133, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB133, 1)) | v88(constB133, 1))),
% 54.98/35.19 inference(rewrite,[status(thm)],[])).
% 54.98/35.19 tff(33999,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB133, 1)) | v88(constB133, 1))),
% 54.98/35.19 inference(quant_inst,[status(thm)],[])).
% 54.98/35.19 tff(34000,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB133, 1)) | v88(constB133, 1)),
% 54.98/35.19 inference(modus_ponens,[status(thm)],[33999, 33998])).
% 54.98/35.19 tff(34001,plain,
% 54.98/35.19 (v88(constB133, 1)),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[34000, 24936, 22223])).
% 54.98/35.19 tff(34002,plain,
% 54.98/35.19 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB133, 2)) | v144(constB133) | (~v88(constB133, 1)) | v88(constB133, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (~v88(constB133, 2)) | v144(constB133) | (~v88(constB133, 1)) | v88(constB133, 0))),
% 54.98/35.19 inference(rewrite,[status(thm)],[])).
% 54.98/35.19 tff(34003,plain,
% 54.98/35.19 (((~v88(constB133, 2)) | (~v88(constB133, 1)) | v88(constB133, 0) | v144(constB133)) <=> ((~v88(constB133, 2)) | v144(constB133) | (~v88(constB133, 1)) | v88(constB133, 0))),
% 54.98/35.19 inference(rewrite,[status(thm)],[])).
% 54.98/35.19 tff(34004,plain,
% 54.98/35.19 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB133, 2)) | (~v88(constB133, 1)) | v88(constB133, 0) | v144(constB133))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB133, 2)) | v144(constB133) | (~v88(constB133, 1)) | v88(constB133, 0)))),
% 54.98/35.19 inference(monotonicity,[status(thm)],[34003])).
% 54.98/35.19 tff(34005,plain,
% 54.98/35.19 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB133, 2)) | (~v88(constB133, 1)) | v88(constB133, 0) | v144(constB133))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (~v88(constB133, 2)) | v144(constB133) | (~v88(constB133, 1)) | v88(constB133, 0))),
% 54.98/35.19 inference(transitivity,[status(thm)],[34004, 34002])).
% 54.98/35.19 tff(34006,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB133, 2)) | (~v88(constB133, 1)) | v88(constB133, 0) | v144(constB133))),
% 54.98/35.19 inference(quant_inst,[status(thm)],[])).
% 54.98/35.19 tff(34007,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (~v88(constB133, 2)) | v144(constB133) | (~v88(constB133, 1)) | v88(constB133, 0)),
% 54.98/35.19 inference(modus_ponens,[status(thm)],[34006, 34005])).
% 54.98/35.19 tff(34008,plain,
% 54.98/35.19 (v144(constB133)),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[34007, 31966, 34001, 33997, 33993])).
% 54.98/35.19 tff(34009,plain,
% 54.98/35.19 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB133)) | v142(constB133))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB133)) | v142(constB133))),
% 54.98/35.19 inference(rewrite,[status(thm)],[])).
% 54.98/35.19 tff(34010,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB133)) | v142(constB133))),
% 54.98/35.19 inference(quant_inst,[status(thm)],[])).
% 54.98/35.19 tff(34011,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB133)) | v142(constB133)),
% 54.98/35.19 inference(modus_ponens,[status(thm)],[34010, 34009])).
% 54.98/35.19 tff(34012,plain,
% 54.98/35.19 (v142(constB133)),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[34011, 31980, 34008])).
% 54.98/35.19 tff(34013,plain,
% 54.98/35.19 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v166(VarCurr))) | ((~v142(constB133)) | v166(constB133))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v166(VarCurr))) | (~v142(constB133)) | v166(constB133))),
% 54.98/35.19 inference(rewrite,[status(thm)],[])).
% 54.98/35.19 tff(34014,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v166(VarCurr))) | ((~v142(constB133)) | v166(constB133))),
% 54.98/35.19 inference(quant_inst,[status(thm)],[])).
% 54.98/35.19 tff(34015,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v166(VarCurr))) | (~v142(constB133)) | v166(constB133)),
% 54.98/35.19 inference(modus_ponens,[status(thm)],[34014, 34013])).
% 54.98/35.19 tff(34016,plain,
% 54.98/35.19 (v166(constB133)),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[34015, 24978, 34012])).
% 54.98/35.19 tff(34017,plain,
% 54.98/35.19 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (v165(constB133) | (~v166(constB133)))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB133) | (~v166(constB133)))),
% 54.98/35.19 inference(rewrite,[status(thm)],[])).
% 54.98/35.19 tff(34018,plain,
% 54.98/35.19 (((~v166(constB133)) | v165(constB133)) <=> (v165(constB133) | (~v166(constB133)))),
% 54.98/35.19 inference(rewrite,[status(thm)],[])).
% 54.98/35.19 tff(34019,plain,
% 54.98/35.19 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB133)) | v165(constB133))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (v165(constB133) | (~v166(constB133))))),
% 54.98/35.19 inference(monotonicity,[status(thm)],[34018])).
% 54.98/35.19 tff(34020,plain,
% 54.98/35.19 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB133)) | v165(constB133))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB133) | (~v166(constB133)))),
% 54.98/35.19 inference(transitivity,[status(thm)],[34019, 34017])).
% 54.98/35.19 tff(34021,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB133)) | v165(constB133))),
% 54.98/35.19 inference(quant_inst,[status(thm)],[])).
% 54.98/35.19 tff(34022,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB133) | (~v166(constB133))),
% 54.98/35.19 inference(modus_ponens,[status(thm)],[34021, 34020])).
% 54.98/35.19 tff(34023,plain,
% 54.98/35.19 (v165(constB133)),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[34022, 24989, 34016])).
% 54.98/35.19 tff(34024,plain,
% 54.98/35.19 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB133)) | (~v88(constB133, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB133)) | (~v88(constB133, 1)))),
% 54.98/35.19 inference(rewrite,[status(thm)],[])).
% 54.98/35.19 tff(34025,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB133)) | (~v88(constB133, 1)))),
% 54.98/35.19 inference(quant_inst,[status(thm)],[])).
% 54.98/35.19 tff(34026,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB133)) | (~v88(constB133, 1))),
% 54.98/35.19 inference(modus_ponens,[status(thm)],[34025, 34024])).
% 54.98/35.19 tff(34027,plain,
% 54.98/35.19 (~v139(constB133)),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[34026, 25003, 34001])).
% 54.98/35.19 tff(34028,plain,
% 54.98/35.19 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB133)) | (~v88(constB133, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB133)) | (~v88(constB133, 1)))),
% 54.98/35.19 inference(rewrite,[status(thm)],[])).
% 54.98/35.19 tff(34029,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB133)) | (~v88(constB133, 1)))),
% 54.98/35.19 inference(quant_inst,[status(thm)],[])).
% 54.98/35.19 tff(34030,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB133)) | (~v88(constB133, 1))),
% 54.98/35.19 inference(modus_ponens,[status(thm)],[34029, 34028])).
% 54.98/35.19 tff(34031,plain,
% 54.98/35.19 (~v140(constB133)),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[34030, 25014, 34001])).
% 54.98/35.19 tff(34032,plain,
% 54.98/35.19 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB133) | v140(constB133) | (~v170(constB133)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB133) | v140(constB133) | (~v170(constB133)))),
% 54.98/35.19 inference(rewrite,[status(thm)],[])).
% 54.98/35.19 tff(34033,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB133) | v140(constB133) | (~v170(constB133)))),
% 54.98/35.19 inference(quant_inst,[status(thm)],[])).
% 54.98/35.19 tff(34034,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB133) | v140(constB133) | (~v170(constB133))),
% 54.98/35.19 inference(modus_ponens,[status(thm)],[34033, 34032])).
% 54.98/35.19 tff(34035,plain,
% 54.98/35.19 (~v170(constB133)),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[34034, 13928, 34031, 34027])).
% 54.98/35.19 tff(34036,plain,
% 54.98/35.19 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB133)) | (~v88(constB133, 2)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB133)) | (~v88(constB133, 2)))),
% 54.98/35.19 inference(rewrite,[status(thm)],[])).
% 54.98/35.19 tff(34037,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB133)) | (~v88(constB133, 2)))),
% 54.98/35.19 inference(quant_inst,[status(thm)],[])).
% 54.98/35.19 tff(34038,plain,
% 54.98/35.19 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB133)) | (~v88(constB133, 2))),
% 54.98/35.19 inference(modus_ponens,[status(thm)],[34037, 34036])).
% 54.98/35.19 tff(34039,plain,
% 54.98/35.19 (~v141(constB133)),
% 54.98/35.19 inference(unit_resolution,[status(thm)],[34038, 13939, 33997])).
% 54.98/35.19 tff(34040,plain,
% 54.98/35.19 (((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB133) | v170(constB133) | (~v169(constB133)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB133) | v170(constB133) | (~v169(constB133)))),
% 54.98/35.19 inference(rewrite,[status(thm)],[])).
% 54.98/35.20 tff(34041,plain,
% 54.98/35.20 ((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB133) | v170(constB133) | (~v169(constB133)))),
% 54.98/35.20 inference(quant_inst,[status(thm)],[])).
% 54.98/35.20 tff(34042,plain,
% 54.98/35.20 ((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB133) | v170(constB133) | (~v169(constB133))),
% 54.98/35.20 inference(modus_ponens,[status(thm)],[34041, 34040])).
% 54.98/35.20 tff(34043,plain,
% 54.98/35.20 (~v169(constB133)),
% 54.98/35.20 inference(unit_resolution,[status(thm)],[34042, 13953, 34039, 34035])).
% 54.98/35.20 tff(34044,plain,
% 54.98/35.20 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB133)) | (~v165(constB133)) | v169(constB133))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB133)) | (~v165(constB133)) | v169(constB133))),
% 54.98/35.20 inference(rewrite,[status(thm)],[])).
% 54.98/35.20 tff(34045,plain,
% 54.98/35.20 (((~v165(constB133)) | v169(constB133) | (~v162(constB133))) <=> ((~v162(constB133)) | (~v165(constB133)) | v169(constB133))),
% 54.98/35.20 inference(rewrite,[status(thm)],[])).
% 54.98/35.20 tff(34046,plain,
% 54.98/35.20 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB133)) | v169(constB133) | (~v162(constB133)))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB133)) | (~v165(constB133)) | v169(constB133)))),
% 54.98/35.20 inference(monotonicity,[status(thm)],[34045])).
% 54.98/35.20 tff(34047,plain,
% 54.98/35.20 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB133)) | v169(constB133) | (~v162(constB133)))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB133)) | (~v165(constB133)) | v169(constB133))),
% 54.98/35.20 inference(transitivity,[status(thm)],[34046, 34044])).
% 54.98/35.20 tff(34048,plain,
% 54.98/35.20 ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB133)) | v169(constB133) | (~v162(constB133)))),
% 54.98/35.20 inference(quant_inst,[status(thm)],[])).
% 54.98/35.20 tff(34049,plain,
% 54.98/35.20 ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB133)) | (~v165(constB133)) | v169(constB133)),
% 54.98/35.20 inference(modus_ponens,[status(thm)],[34048, 34047])).
% 54.98/35.20 tff(34050,plain,
% 54.98/35.20 ((~v162(constB133)) | (~v165(constB133))),
% 54.98/35.20 inference(unit_resolution,[status(thm)],[34049, 14054, 34043])).
% 54.98/35.20 tff(34051,plain,
% 54.98/35.20 (~v162(constB133)),
% 54.98/35.20 inference(unit_resolution,[status(thm)],[34050, 34023])).
% 54.98/35.20 tff(34052,plain,
% 54.98/35.20 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB133) | (~v187(constB133)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB133) | (~v187(constB133)))),
% 54.98/35.20 inference(rewrite,[status(thm)],[])).
% 54.98/35.20 tff(34053,plain,
% 54.98/35.20 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB133) | (~v187(constB133)))),
% 54.98/35.20 inference(quant_inst,[status(thm)],[])).
% 54.98/35.20 tff(34054,plain,
% 54.98/35.20 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB133) | (~v187(constB133))),
% 54.98/35.20 inference(modus_ponens,[status(thm)],[34053, 34052])).
% 54.98/35.20 tff(34055,plain,
% 54.98/35.20 (~v187(constB133)),
% 54.98/35.20 inference(unit_resolution,[status(thm)],[34054, 14071, 34051])).
% 54.98/35.20 tff(34056,plain,
% 54.98/35.20 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB133) | (~v185(constB133)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB133) | (~v185(constB133)))),
% 54.98/35.20 inference(rewrite,[status(thm)],[])).
% 54.98/35.20 tff(34057,plain,
% 54.98/35.20 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB133) | (~v185(constB133)))),
% 54.98/35.20 inference(quant_inst,[status(thm)],[])).
% 54.98/35.20 tff(34058,plain,
% 54.98/35.20 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB133) | (~v185(constB133))),
% 54.98/35.20 inference(modus_ponens,[status(thm)],[34057, 34056])).
% 54.98/35.20 tff(34059,plain,
% 54.98/35.20 (~v185(constB133)),
% 54.98/35.20 inference(unit_resolution,[status(thm)],[34058, 14085, 34055])).
% 54.98/35.20 tff(34060,assumption,(v18(constB134)), introduced(assumption)).
% 54.98/35.20 tff(34061,plain,
% 54.98/35.20 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB134))),
% 54.98/35.20 inference(quant_inst,[status(thm)],[])).
% 54.98/35.20 tff(34062,plain,
% 54.98/35.20 ($false),
% 54.98/35.20 inference(unit_resolution,[status(thm)],[34061, 14194, 34060])).
% 54.98/35.20 tff(34063,plain,(~v18(constB134)), inference(lemma,lemma(discharge,[]))).
% 54.98/35.20 tff(34064,plain,
% 54.98/35.20 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB134) | (~v1(constB134)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB134) | (~v1(constB134)))),
% 54.98/35.20 inference(rewrite,[status(thm)],[])).
% 54.98/35.20 tff(34065,plain,
% 54.98/35.20 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB134) | (~v1(constB134)))),
% 54.98/35.20 inference(quant_inst,[status(thm)],[])).
% 54.98/35.20 tff(34066,plain,
% 54.98/35.20 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB134) | (~v1(constB134))),
% 54.98/35.20 inference(modus_ponens,[status(thm)],[34065, 34064])).
% 54.98/35.20 tff(34067,plain,
% 54.98/35.20 (v22(constB134)),
% 54.98/35.20 inference(unit_resolution,[status(thm)],[34066, 14207, 706])).
% 54.98/35.20 tff(34068,plain,
% 54.98/35.20 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB134) | (~v22(constB134)) | (~v19(constB134)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB134) | (~v22(constB134)) | (~v19(constB134)))),
% 54.98/35.20 inference(rewrite,[status(thm)],[])).
% 54.98/35.20 tff(34069,plain,
% 54.98/35.20 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB134) | (~v22(constB134)) | (~v19(constB134)))),
% 54.98/35.20 inference(quant_inst,[status(thm)],[])).
% 54.98/35.20 tff(34070,plain,
% 54.98/35.20 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB134) | (~v22(constB134)) | (~v19(constB134))),
% 54.98/35.20 inference(modus_ponens,[status(thm)],[34069, 34068])).
% 54.98/35.20 tff(34071,plain,
% 54.98/35.20 (v18(constB134) | (~v19(constB134))),
% 54.98/35.20 inference(unit_resolution,[status(thm)],[34070, 14221, 34067])).
% 54.98/35.20 tff(34072,plain,
% 54.98/35.20 (~v19(constB134)),
% 54.98/35.20 inference(unit_resolution,[status(thm)],[34071, 34063])).
% 54.98/35.20 tff(34073,plain,
% 54.98/35.20 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB134) | v19(constB134))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB134) | v19(constB134))),
% 54.98/35.20 inference(rewrite,[status(thm)],[])).
% 54.98/35.20 tff(34074,plain,
% 54.98/35.20 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB134) | v19(constB134))),
% 54.98/35.20 inference(quant_inst,[status(thm)],[])).
% 54.98/35.20 tff(34075,plain,
% 54.98/35.20 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB134) | v19(constB134)),
% 54.98/35.20 inference(modus_ponens,[status(thm)],[34074, 34073])).
% 54.98/35.20 tff(34076,plain,
% 54.98/35.20 (v13(constB134)),
% 54.98/35.20 inference(unit_resolution,[status(thm)],[34075, 14233, 34072])).
% 54.98/35.20 tff(34077,plain,
% 54.98/35.20 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB133) | (~v13(constB134)) | (~nextState(constB133, constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB133) | (~v13(constB134)) | (~nextState(constB133, constB134)))),
% 54.98/35.20 inference(rewrite,[status(thm)],[])).
% 54.98/35.20 tff(34078,plain,
% 54.98/35.20 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB133) | (~v13(constB134)) | (~nextState(constB133, constB134)))),
% 54.98/35.20 inference(quant_inst,[status(thm)],[])).
% 54.98/35.20 tff(34079,plain,
% 54.98/35.20 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB133) | (~v13(constB134)) | (~nextState(constB133, constB134))),
% 54.98/35.20 inference(modus_ponens,[status(thm)],[34078, 34077])).
% 54.98/35.20 tff(34080,plain,
% 54.98/35.20 (v9(constB133) | (~v13(constB134))),
% 54.98/35.20 inference(unit_resolution,[status(thm)],[34079, 14247, 22407])).
% 54.98/35.20 tff(34081,plain,
% 54.98/35.20 (v9(constB133)),
% 54.98/35.20 inference(unit_resolution,[status(thm)],[34080, 34076])).
% 54.98/35.20 tff(34082,plain,
% 54.98/35.20 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB133) | (~v9(constB133)) | v184(constB133))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB133) | (~v9(constB133)) | v184(constB133))),
% 54.98/35.20 inference(rewrite,[status(thm)],[])).
% 54.98/35.20 tff(34083,plain,
% 54.98/35.20 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB133) | (~v9(constB133)) | v184(constB133))),
% 54.98/35.20 inference(quant_inst,[status(thm)],[])).
% 54.98/35.20 tff(34084,plain,
% 54.98/35.20 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB133) | (~v9(constB133)) | v184(constB133)),
% 54.98/35.20 inference(modus_ponens,[status(thm)],[34083, 34082])).
% 54.98/35.20 tff(34085,plain,
% 54.98/35.20 ((~v9(constB133)) | v184(constB133)),
% 54.98/35.20 inference(unit_resolution,[status(thm)],[34084, 14262, 22199])).
% 54.98/35.20 tff(34086,plain,
% 54.98/35.20 (v184(constB133)),
% 54.98/35.20 inference(unit_resolution,[status(thm)],[34085, 34081])).
% 54.98/35.20 tff(34087,plain,
% 54.98/35.20 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB133) | (~v184(constB133)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB133) | (~v184(constB133)))),
% 54.98/35.20 inference(rewrite,[status(thm)],[])).
% 54.98/35.20 tff(34088,plain,
% 54.98/35.20 (((~v184(constB133)) | v183(constB133)) <=> (v183(constB133) | (~v184(constB133)))),
% 54.98/35.20 inference(rewrite,[status(thm)],[])).
% 54.98/35.20 tff(34089,plain,
% 54.98/35.20 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB133)) | v183(constB133))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB133) | (~v184(constB133))))),
% 54.98/35.20 inference(monotonicity,[status(thm)],[34088])).
% 54.98/35.20 tff(34090,plain,
% 54.98/35.20 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB133)) | v183(constB133))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB133) | (~v184(constB133)))),
% 54.98/35.20 inference(transitivity,[status(thm)],[34089, 34087])).
% 54.98/35.20 tff(34091,plain,
% 54.98/35.20 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB133)) | v183(constB133))),
% 54.98/35.20 inference(quant_inst,[status(thm)],[])).
% 54.98/35.20 tff(34092,plain,
% 54.98/35.20 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB133) | (~v184(constB133))),
% 54.98/35.20 inference(modus_ponens,[status(thm)],[34091, 34090])).
% 54.98/35.20 tff(34093,plain,
% 54.98/35.20 (v183(constB133)),
% 54.98/35.20 inference(unit_resolution,[status(thm)],[34092, 14274, 34086])).
% 54.98/35.20 tff(34094,plain,
% 54.98/35.20 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB133)) | (~v183(constB133)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB133)) | (~v183(constB133)))),
% 54.98/35.20 inference(rewrite,[status(thm)],[])).
% 54.98/35.20 tff(34095,plain,
% 54.98/35.20 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB133)) | (~v183(constB133)))),
% 54.98/35.20 inference(quant_inst,[status(thm)],[])).
% 54.98/35.20 tff(34096,plain,
% 54.98/35.20 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB133)) | (~v183(constB133))),
% 54.98/35.20 inference(modus_ponens,[status(thm)],[34095, 34094])).
% 54.98/35.20 tff(34097,plain,
% 54.98/35.20 (~v181(constB133)),
% 54.98/35.20 inference(unit_resolution,[status(thm)],[34096, 14288, 34093])).
% 54.98/35.20 tff(34098,plain,
% 54.98/35.20 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB133) | v185(constB133) | (~v178(constB133)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB133) | v185(constB133) | (~v178(constB133)))),
% 54.98/35.20 inference(rewrite,[status(thm)],[])).
% 54.98/35.20 tff(34099,plain,
% 54.98/35.20 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB133) | v185(constB133) | (~v178(constB133)))),
% 54.98/35.20 inference(quant_inst,[status(thm)],[])).
% 54.98/35.20 tff(34100,plain,
% 54.98/35.20 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB133) | v185(constB133) | (~v178(constB133))),
% 54.98/35.20 inference(modus_ponens,[status(thm)],[34099, 34098])).
% 54.98/35.20 tff(34101,plain,
% 54.98/35.20 (v185(constB133) | (~v178(constB133))),
% 54.98/35.20 inference(unit_resolution,[status(thm)],[34100, 14302, 34097])).
% 54.98/35.20 tff(34102,plain,
% 54.98/35.20 (~v178(constB133)),
% 54.98/35.20 inference(unit_resolution,[status(thm)],[34101, 34059])).
% 54.98/35.20 tff(34103,plain,
% 54.98/35.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB133, constB134)) | v178(constB133) | (~v180(constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB133, constB134)) | v178(constB133) | (~v180(constB134)))),
% 54.98/35.20 inference(rewrite,[status(thm)],[])).
% 54.98/35.20 tff(34104,plain,
% 54.98/35.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB133, constB134)) | v178(constB133) | (~v180(constB134)))),
% 54.98/35.20 inference(quant_inst,[status(thm)],[])).
% 54.98/35.20 tff(34105,plain,
% 54.98/35.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB133, constB134)) | v178(constB133) | (~v180(constB134))),
% 54.98/35.20 inference(modus_ponens,[status(thm)],[34104, 34103])).
% 54.98/35.20 tff(34106,plain,
% 54.98/35.20 (v178(constB133) | (~v180(constB134))),
% 54.98/35.20 inference(unit_resolution,[status(thm)],[34105, 14317, 22407])).
% 54.98/35.20 tff(34107,plain,
% 54.98/35.20 (~v180(constB134)),
% 54.98/35.20 inference(unit_resolution,[status(thm)],[34106, 34102])).
% 54.98/35.20 tff(34108,plain,
% 54.98/35.20 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB134) | (~v181(constB134)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB134) | (~v181(constB134)))),
% 54.98/35.20 inference(rewrite,[status(thm)],[])).
% 54.98/35.20 tff(34109,plain,
% 54.98/35.20 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB134) | (~v181(constB134)))),
% 54.98/35.20 inference(quant_inst,[status(thm)],[])).
% 54.98/35.20 tff(34110,plain,
% 54.98/35.20 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB134) | (~v181(constB134))),
% 54.98/35.20 inference(modus_ponens,[status(thm)],[34109, 34108])).
% 54.98/35.20 tff(34111,plain,
% 54.98/35.20 (~v181(constB134)),
% 54.98/35.20 inference(unit_resolution,[status(thm)],[34110, 14332, 34107])).
% 54.98/35.20 tff(34112,plain,
% 54.98/35.20 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB134)) | (~v184(constB134)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB134)) | (~v184(constB134)))),
% 54.98/35.20 inference(rewrite,[status(thm)],[])).
% 54.98/35.20 tff(34113,plain,
% 54.98/35.20 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB134)) | (~v184(constB134)))),
% 54.98/35.20 inference(quant_inst,[status(thm)],[])).
% 54.98/35.20 tff(34114,plain,
% 54.98/35.20 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB134)) | (~v184(constB134))),
% 54.98/35.20 inference(modus_ponens,[status(thm)],[34113, 34112])).
% 54.98/35.20 tff(34115,plain,
% 54.98/35.20 (~v184(constB134)),
% 54.98/35.20 inference(unit_resolution,[status(thm)],[34114, 88, 706])).
% 54.98/35.20 tff(34116,plain,
% 54.98/35.20 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB134) | (~v187(constB134)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB134) | (~v187(constB134)))),
% 54.98/35.20 inference(rewrite,[status(thm)],[])).
% 54.98/35.20 tff(34117,plain,
% 54.98/35.20 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB134) | (~v187(constB134)))),
% 54.98/35.20 inference(quant_inst,[status(thm)],[])).
% 54.98/35.20 tff(34118,plain,
% 54.98/35.20 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB134) | (~v187(constB134))),
% 54.98/35.20 inference(modus_ponens,[status(thm)],[34117, 34116])).
% 54.98/35.20 tff(34119,plain,
% 54.98/35.20 (~v187(constB134)),
% 54.98/35.20 inference(unit_resolution,[status(thm)],[34118, 14350, 34115])).
% 54.98/35.20 tff(34120,plain,
% 54.98/35.20 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB134) | (~v185(constB134)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB134) | (~v185(constB134)))),
% 54.98/35.20 inference(rewrite,[status(thm)],[])).
% 54.98/35.20 tff(34121,plain,
% 54.98/35.20 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB134) | (~v185(constB134)))),
% 54.98/35.20 inference(quant_inst,[status(thm)],[])).
% 54.98/35.20 tff(34122,plain,
% 54.98/35.20 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB134) | (~v185(constB134))),
% 54.98/35.20 inference(modus_ponens,[status(thm)],[34121, 34120])).
% 54.98/35.20 tff(34123,plain,
% 54.98/35.20 (~v185(constB134)),
% 54.98/35.20 inference(unit_resolution,[status(thm)],[34122, 14085, 34119])).
% 54.98/35.20 tff(34124,plain,
% 54.98/35.20 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB134) | v185(constB134) | (~v178(constB134)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB134) | v185(constB134) | (~v178(constB134)))),
% 54.98/35.20 inference(rewrite,[status(thm)],[])).
% 54.98/35.20 tff(34125,plain,
% 54.98/35.20 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB134) | v185(constB134) | (~v178(constB134)))),
% 54.98/35.20 inference(quant_inst,[status(thm)],[])).
% 54.98/35.20 tff(34126,plain,
% 54.98/35.20 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB134) | v185(constB134) | (~v178(constB134))),
% 54.98/35.20 inference(modus_ponens,[status(thm)],[34125, 34124])).
% 54.98/35.20 tff(34127,plain,
% 54.98/35.20 (v181(constB134) | (~v178(constB134))),
% 54.98/35.20 inference(unit_resolution,[status(thm)],[34126, 14302, 34123])).
% 54.98/35.20 tff(34128,plain,
% 54.98/35.20 (~v178(constB134)),
% 54.98/35.20 inference(unit_resolution,[status(thm)],[34127, 34111])).
% 54.98/35.20 tff(34129,plain,
% 54.98/35.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB134, constB135)) | v178(constB134) | (~v180(constB135)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB134, constB135)) | v178(constB134) | (~v180(constB135)))),
% 54.98/35.20 inference(rewrite,[status(thm)],[])).
% 54.98/35.20 tff(34130,plain,
% 54.98/35.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB134, constB135)) | v178(constB134) | (~v180(constB135)))),
% 54.98/35.20 inference(quant_inst,[status(thm)],[])).
% 54.98/35.20 tff(34131,plain,
% 54.98/35.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB134, constB135)) | v178(constB134) | (~v180(constB135))),
% 54.98/35.20 inference(modus_ponens,[status(thm)],[34130, 34129])).
% 54.98/35.20 tff(34132,plain,
% 54.98/35.20 (v178(constB134) | (~v180(constB135))),
% 54.98/35.20 inference(unit_resolution,[status(thm)],[34131, 14317, 22491])).
% 54.98/35.20 tff(34133,plain,
% 54.98/35.20 (~v180(constB135)),
% 54.98/35.20 inference(unit_resolution,[status(thm)],[34132, 34128])).
% 54.98/35.20 tff(34134,plain,
% 54.98/35.20 ($false),
% 54.98/35.20 inference(unit_resolution,[status(thm)],[34133, 33989])).
% 54.98/35.20 tff(34135,plain,((~(constB135 = sK_VarCurr)) | (~v180(sK_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 54.98/35.20 tff(34136,plain,
% 54.98/35.20 (~(constB135 = sK_VarCurr)),
% 54.98/35.20 inference(unit_resolution,[status(thm)],[34135, 815])).
% 54.98/35.20 tff(34137,assumption,(constB99 = sK_VarCurr), introduced(assumption)).
% 54.98/35.20 tff(34138,plain,
% 54.98/35.20 (v180(constB99) <=> v180(sK_VarCurr)),
% 54.98/35.20 inference(monotonicity,[status(thm)],[34137])).
% 54.98/35.20 tff(34139,plain,
% 54.98/35.20 (v180(sK_VarCurr) <=> v180(constB99)),
% 54.98/35.20 inference(symmetry,[status(thm)],[34138])).
% 54.98/35.20 tff(34140,plain,
% 54.98/35.20 (v180(constB99)),
% 54.98/35.20 inference(modus_ponens,[status(thm)],[819, 34139])).
% 54.98/35.20 tff(34141,plain,
% 54.98/35.20 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB97, 0)) | v90(constB97, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB97, 0)) | v90(constB97, 0))),
% 54.98/35.20 inference(rewrite,[status(thm)],[])).
% 54.98/35.20 tff(34142,plain,
% 54.98/35.20 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB97, 0)) | v90(constB97, 0))),
% 54.98/35.20 inference(quant_inst,[status(thm)],[])).
% 54.98/35.20 tff(34143,plain,
% 54.98/35.20 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB97, 0)) | v90(constB97, 0)),
% 54.98/35.20 inference(modus_ponens,[status(thm)],[34142, 34141])).
% 54.98/35.20 tff(34144,plain,
% 54.98/35.20 (~v88(constB97, 0)),
% 54.98/35.20 inference(unit_resolution,[status(thm)],[34143, 14132, 17967])).
% 54.98/35.20 tff(34145,plain,
% 54.98/35.20 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB97, 2)) | v88(constB97, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB97, 2)) | v88(constB97, 2))),
% 54.98/35.20 inference(rewrite,[status(thm)],[])).
% 54.98/35.20 tff(34146,plain,
% 54.98/35.20 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB97, 2)) | v88(constB97, 2))),
% 54.98/35.20 inference(quant_inst,[status(thm)],[])).
% 54.98/35.20 tff(34147,plain,
% 54.98/35.20 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB97, 2)) | v88(constB97, 2)),
% 54.98/35.20 inference(modus_ponens,[status(thm)],[34146, 34145])).
% 54.98/35.20 tff(34148,plain,
% 54.98/35.20 (v88(constB97, 2)),
% 54.98/35.20 inference(unit_resolution,[status(thm)],[34147, 13850, 17857])).
% 54.98/35.20 tff(34149,plain,
% 54.98/35.20 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB97, 1)) | v88(constB97, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB97, 1)) | v88(constB97, 1))),
% 54.98/35.20 inference(rewrite,[status(thm)],[])).
% 54.98/35.20 tff(34150,plain,
% 54.98/35.20 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB97, 1)) | v88(constB97, 1))),
% 54.98/35.20 inference(quant_inst,[status(thm)],[])).
% 54.98/35.20 tff(34151,plain,
% 54.98/35.20 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB97, 1)) | v88(constB97, 1)),
% 54.98/35.20 inference(modus_ponens,[status(thm)],[34150, 34149])).
% 54.98/35.20 tff(34152,plain,
% 54.98/35.20 (v88(constB97, 1)),
% 54.98/35.20 inference(unit_resolution,[status(thm)],[34151, 24936, 17896])).
% 54.98/35.20 tff(34153,plain,
% 54.98/35.20 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB97, 2)) | v144(constB97) | (~v88(constB97, 1)) | v88(constB97, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (~v88(constB97, 2)) | v144(constB97) | (~v88(constB97, 1)) | v88(constB97, 0))),
% 54.98/35.20 inference(rewrite,[status(thm)],[])).
% 54.98/35.20 tff(34154,plain,
% 54.98/35.20 (((~v88(constB97, 2)) | (~v88(constB97, 1)) | v88(constB97, 0) | v144(constB97)) <=> ((~v88(constB97, 2)) | v144(constB97) | (~v88(constB97, 1)) | v88(constB97, 0))),
% 54.98/35.20 inference(rewrite,[status(thm)],[])).
% 54.98/35.20 tff(34155,plain,
% 54.98/35.20 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB97, 2)) | (~v88(constB97, 1)) | v88(constB97, 0) | v144(constB97))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB97, 2)) | v144(constB97) | (~v88(constB97, 1)) | v88(constB97, 0)))),
% 54.98/35.20 inference(monotonicity,[status(thm)],[34154])).
% 54.98/35.20 tff(34156,plain,
% 54.98/35.20 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB97, 2)) | (~v88(constB97, 1)) | v88(constB97, 0) | v144(constB97))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (~v88(constB97, 2)) | v144(constB97) | (~v88(constB97, 1)) | v88(constB97, 0))),
% 54.98/35.20 inference(transitivity,[status(thm)],[34155, 34153])).
% 54.98/35.20 tff(34157,plain,
% 54.98/35.20 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB97, 2)) | (~v88(constB97, 1)) | v88(constB97, 0) | v144(constB97))),
% 54.98/35.20 inference(quant_inst,[status(thm)],[])).
% 54.98/35.20 tff(34158,plain,
% 54.98/35.20 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (~v88(constB97, 2)) | v144(constB97) | (~v88(constB97, 1)) | v88(constB97, 0)),
% 54.98/35.20 inference(modus_ponens,[status(thm)],[34157, 34156])).
% 54.98/35.20 tff(34159,plain,
% 54.98/35.20 (v144(constB97)),
% 54.98/35.20 inference(unit_resolution,[status(thm)],[34158, 31966, 34152, 34148, 34144])).
% 54.98/35.20 tff(34160,plain,
% 54.98/35.20 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB97)) | v142(constB97))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB97)) | v142(constB97))),
% 54.98/35.20 inference(rewrite,[status(thm)],[])).
% 54.98/35.20 tff(34161,plain,
% 54.98/35.20 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB97)) | v142(constB97))),
% 54.98/35.20 inference(quant_inst,[status(thm)],[])).
% 54.98/35.20 tff(34162,plain,
% 54.98/35.20 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (~v144(constB97)) | v142(constB97)),
% 54.98/35.20 inference(modus_ponens,[status(thm)],[34161, 34160])).
% 54.98/35.20 tff(34163,plain,
% 54.98/35.20 (v142(constB97)),
% 54.98/35.20 inference(unit_resolution,[status(thm)],[34162, 31980, 34159])).
% 54.98/35.20 tff(34164,plain,
% 54.98/35.20 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v166(VarCurr))) | ((~v142(constB97)) | v166(constB97))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v166(VarCurr))) | (~v142(constB97)) | v166(constB97))),
% 54.98/35.20 inference(rewrite,[status(thm)],[])).
% 54.98/35.20 tff(34165,plain,
% 54.98/35.20 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v166(VarCurr))) | ((~v142(constB97)) | v166(constB97))),
% 54.98/35.20 inference(quant_inst,[status(thm)],[])).
% 54.98/35.20 tff(34166,plain,
% 54.98/35.20 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v166(VarCurr))) | (~v142(constB97)) | v166(constB97)),
% 54.98/35.20 inference(modus_ponens,[status(thm)],[34165, 34164])).
% 54.98/35.20 tff(34167,plain,
% 54.98/35.20 (v166(constB97)),
% 54.98/35.20 inference(unit_resolution,[status(thm)],[34166, 24978, 34163])).
% 54.98/35.20 tff(34168,plain,
% 54.98/35.20 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (v165(constB97) | (~v166(constB97)))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB97) | (~v166(constB97)))),
% 55.04/35.20 inference(rewrite,[status(thm)],[])).
% 55.04/35.20 tff(34169,plain,
% 55.04/35.20 (((~v166(constB97)) | v165(constB97)) <=> (v165(constB97) | (~v166(constB97)))),
% 55.04/35.20 inference(rewrite,[status(thm)],[])).
% 55.04/35.20 tff(34170,plain,
% 55.04/35.20 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB97)) | v165(constB97))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (v165(constB97) | (~v166(constB97))))),
% 55.04/35.20 inference(monotonicity,[status(thm)],[34169])).
% 55.04/35.20 tff(34171,plain,
% 55.04/35.20 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB97)) | v165(constB97))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB97) | (~v166(constB97)))),
% 55.04/35.20 inference(transitivity,[status(thm)],[34170, 34168])).
% 55.04/35.20 tff(34172,plain,
% 55.04/35.20 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB97)) | v165(constB97))),
% 55.04/35.20 inference(quant_inst,[status(thm)],[])).
% 55.04/35.20 tff(34173,plain,
% 55.04/35.20 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB97) | (~v166(constB97))),
% 55.04/35.20 inference(modus_ponens,[status(thm)],[34172, 34171])).
% 55.04/35.20 tff(34174,plain,
% 55.04/35.20 (v165(constB97)),
% 55.04/35.20 inference(unit_resolution,[status(thm)],[34173, 24989, 34167])).
% 55.04/35.20 tff(34175,plain,
% 55.04/35.20 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB97)) | (~v88(constB97, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB97)) | (~v88(constB97, 1)))),
% 55.04/35.20 inference(rewrite,[status(thm)],[])).
% 55.04/35.20 tff(34176,plain,
% 55.04/35.20 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB97)) | (~v88(constB97, 1)))),
% 55.04/35.20 inference(quant_inst,[status(thm)],[])).
% 55.04/35.20 tff(34177,plain,
% 55.04/35.20 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB97)) | (~v88(constB97, 1))),
% 55.04/35.20 inference(modus_ponens,[status(thm)],[34176, 34175])).
% 55.04/35.20 tff(34178,plain,
% 55.04/35.20 (~v139(constB97)),
% 55.04/35.20 inference(unit_resolution,[status(thm)],[34177, 25003, 34152])).
% 55.04/35.20 tff(34179,plain,
% 55.04/35.20 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB97)) | (~v88(constB97, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB97)) | (~v88(constB97, 1)))),
% 55.04/35.20 inference(rewrite,[status(thm)],[])).
% 55.04/35.20 tff(34180,plain,
% 55.04/35.20 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB97)) | (~v88(constB97, 1)))),
% 55.04/35.20 inference(quant_inst,[status(thm)],[])).
% 55.04/35.20 tff(34181,plain,
% 55.04/35.20 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB97)) | (~v88(constB97, 1))),
% 55.04/35.20 inference(modus_ponens,[status(thm)],[34180, 34179])).
% 55.04/35.20 tff(34182,plain,
% 55.04/35.20 (~v140(constB97)),
% 55.04/35.20 inference(unit_resolution,[status(thm)],[34181, 25014, 34152])).
% 55.04/35.20 tff(34183,plain,
% 55.04/35.20 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB97) | v140(constB97) | (~v170(constB97)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB97) | v140(constB97) | (~v170(constB97)))),
% 55.04/35.20 inference(rewrite,[status(thm)],[])).
% 55.04/35.20 tff(34184,plain,
% 55.04/35.20 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB97) | v140(constB97) | (~v170(constB97)))),
% 55.04/35.20 inference(quant_inst,[status(thm)],[])).
% 55.04/35.20 tff(34185,plain,
% 55.04/35.20 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB97) | v140(constB97) | (~v170(constB97))),
% 55.04/35.20 inference(modus_ponens,[status(thm)],[34184, 34183])).
% 55.04/35.20 tff(34186,plain,
% 55.04/35.20 (~v170(constB97)),
% 55.04/35.20 inference(unit_resolution,[status(thm)],[34185, 13928, 34182, 34178])).
% 55.04/35.20 tff(34187,plain,
% 55.04/35.20 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB97)) | (~v88(constB97, 2)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB97)) | (~v88(constB97, 2)))),
% 55.04/35.20 inference(rewrite,[status(thm)],[])).
% 55.04/35.20 tff(34188,plain,
% 55.04/35.20 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB97)) | (~v88(constB97, 2)))),
% 55.04/35.20 inference(quant_inst,[status(thm)],[])).
% 55.04/35.20 tff(34189,plain,
% 55.04/35.20 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB97)) | (~v88(constB97, 2))),
% 55.04/35.20 inference(modus_ponens,[status(thm)],[34188, 34187])).
% 55.04/35.20 tff(34190,plain,
% 55.04/35.20 (~v141(constB97)),
% 55.04/35.20 inference(unit_resolution,[status(thm)],[34189, 13939, 34148])).
% 55.04/35.20 tff(34191,plain,
% 55.04/35.20 (((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB97) | v170(constB97) | (~v169(constB97)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB97) | v170(constB97) | (~v169(constB97)))),
% 55.04/35.20 inference(rewrite,[status(thm)],[])).
% 55.04/35.20 tff(34192,plain,
% 55.04/35.20 ((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB97) | v170(constB97) | (~v169(constB97)))),
% 55.04/35.20 inference(quant_inst,[status(thm)],[])).
% 55.04/35.20 tff(34193,plain,
% 55.04/35.20 ((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB97) | v170(constB97) | (~v169(constB97))),
% 55.04/35.20 inference(modus_ponens,[status(thm)],[34192, 34191])).
% 55.04/35.20 tff(34194,plain,
% 55.04/35.20 (~v169(constB97)),
% 55.04/35.20 inference(unit_resolution,[status(thm)],[34193, 13953, 34190, 34186])).
% 55.04/35.20 tff(34195,plain,
% 55.04/35.20 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB97)) | v169(constB97) | (~v165(constB97)))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB97)) | v169(constB97) | (~v165(constB97)))),
% 55.04/35.20 inference(rewrite,[status(thm)],[])).
% 55.04/35.20 tff(34196,plain,
% 55.04/35.20 (((~v165(constB97)) | v169(constB97) | (~v162(constB97))) <=> ((~v162(constB97)) | v169(constB97) | (~v165(constB97)))),
% 55.04/35.20 inference(rewrite,[status(thm)],[])).
% 55.04/35.20 tff(34197,plain,
% 55.04/35.20 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB97)) | v169(constB97) | (~v162(constB97)))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB97)) | v169(constB97) | (~v165(constB97))))),
% 55.04/35.20 inference(monotonicity,[status(thm)],[34196])).
% 55.04/35.20 tff(34198,plain,
% 55.04/35.20 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB97)) | v169(constB97) | (~v162(constB97)))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB97)) | v169(constB97) | (~v165(constB97)))),
% 55.04/35.20 inference(transitivity,[status(thm)],[34197, 34195])).
% 55.04/35.20 tff(34199,plain,
% 55.04/35.20 ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB97)) | v169(constB97) | (~v162(constB97)))),
% 55.04/35.20 inference(quant_inst,[status(thm)],[])).
% 55.04/35.20 tff(34200,plain,
% 55.04/35.20 ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB97)) | v169(constB97) | (~v165(constB97))),
% 55.04/35.20 inference(modus_ponens,[status(thm)],[34199, 34198])).
% 55.04/35.20 tff(34201,plain,
% 55.04/35.20 ((~v162(constB97)) | (~v165(constB97))),
% 55.04/35.20 inference(unit_resolution,[status(thm)],[34200, 14054, 34194])).
% 55.04/35.20 tff(34202,plain,
% 55.04/35.20 (~v162(constB97)),
% 55.04/35.20 inference(unit_resolution,[status(thm)],[34201, 34174])).
% 55.04/35.20 tff(34203,plain,
% 55.04/35.20 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB97) | (~v187(constB97)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB97) | (~v187(constB97)))),
% 55.04/35.20 inference(rewrite,[status(thm)],[])).
% 55.04/35.20 tff(34204,plain,
% 55.04/35.20 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB97) | (~v187(constB97)))),
% 55.04/35.20 inference(quant_inst,[status(thm)],[])).
% 55.04/35.20 tff(34205,plain,
% 55.04/35.20 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB97) | (~v187(constB97))),
% 55.04/35.20 inference(modus_ponens,[status(thm)],[34204, 34203])).
% 55.04/35.20 tff(34206,plain,
% 55.04/35.20 (~v187(constB97)),
% 55.04/35.20 inference(unit_resolution,[status(thm)],[34205, 14071, 34202])).
% 55.04/35.20 tff(34207,plain,
% 55.04/35.20 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB97) | (~v185(constB97)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB97) | (~v185(constB97)))),
% 55.04/35.20 inference(rewrite,[status(thm)],[])).
% 55.04/35.20 tff(34208,plain,
% 55.04/35.20 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB97) | (~v185(constB97)))),
% 55.04/35.20 inference(quant_inst,[status(thm)],[])).
% 55.04/35.20 tff(34209,plain,
% 55.04/35.20 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB97) | (~v185(constB97))),
% 55.04/35.20 inference(modus_ponens,[status(thm)],[34208, 34207])).
% 55.04/35.20 tff(34210,plain,
% 55.04/35.20 (~v185(constB97)),
% 55.04/35.20 inference(unit_resolution,[status(thm)],[34209, 14085, 34206])).
% 55.04/35.20 tff(34211,assumption,(v18(constB98)), introduced(assumption)).
% 55.04/35.20 tff(34212,plain,
% 55.04/35.20 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB98))),
% 55.04/35.20 inference(quant_inst,[status(thm)],[])).
% 55.04/35.20 tff(34213,plain,
% 55.04/35.20 ($false),
% 55.04/35.20 inference(unit_resolution,[status(thm)],[34212, 14194, 34211])).
% 55.04/35.20 tff(34214,plain,(~v18(constB98)), inference(lemma,lemma(discharge,[]))).
% 55.04/35.20 tff(34215,plain,
% 55.04/35.20 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB98) | (~v1(constB98)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB98) | (~v1(constB98)))),
% 55.04/35.20 inference(rewrite,[status(thm)],[])).
% 55.04/35.20 tff(34216,plain,
% 55.04/35.20 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB98) | (~v1(constB98)))),
% 55.04/35.20 inference(quant_inst,[status(thm)],[])).
% 55.04/35.20 tff(34217,plain,
% 55.04/35.20 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB98) | (~v1(constB98))),
% 55.04/35.20 inference(modus_ponens,[status(thm)],[34216, 34215])).
% 55.04/35.20 tff(34218,plain,
% 55.04/35.20 (v22(constB98)),
% 55.04/35.20 inference(unit_resolution,[status(thm)],[34217, 14207, 343])).
% 55.04/35.20 tff(34219,plain,
% 55.04/35.20 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB98) | (~v22(constB98)) | (~v19(constB98)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB98) | (~v22(constB98)) | (~v19(constB98)))),
% 55.04/35.20 inference(rewrite,[status(thm)],[])).
% 55.04/35.20 tff(34220,plain,
% 55.04/35.20 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB98) | (~v22(constB98)) | (~v19(constB98)))),
% 55.04/35.20 inference(quant_inst,[status(thm)],[])).
% 55.04/35.20 tff(34221,plain,
% 55.04/35.20 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB98) | (~v22(constB98)) | (~v19(constB98))),
% 55.04/35.20 inference(modus_ponens,[status(thm)],[34220, 34219])).
% 55.04/35.20 tff(34222,plain,
% 55.04/35.20 (v18(constB98) | (~v19(constB98))),
% 55.04/35.20 inference(unit_resolution,[status(thm)],[34221, 14221, 34218])).
% 55.04/35.20 tff(34223,plain,
% 55.04/35.20 (~v19(constB98)),
% 55.04/35.20 inference(unit_resolution,[status(thm)],[34222, 34214])).
% 55.04/35.20 tff(34224,plain,
% 55.04/35.20 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB98) | v19(constB98))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB98) | v19(constB98))),
% 55.04/35.20 inference(rewrite,[status(thm)],[])).
% 55.04/35.20 tff(34225,plain,
% 55.04/35.20 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB98) | v19(constB98))),
% 55.04/35.20 inference(quant_inst,[status(thm)],[])).
% 55.04/35.20 tff(34226,plain,
% 55.04/35.20 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB98) | v19(constB98)),
% 55.04/35.20 inference(modus_ponens,[status(thm)],[34225, 34224])).
% 55.04/35.20 tff(34227,plain,
% 55.04/35.20 (v13(constB98)),
% 55.04/35.20 inference(unit_resolution,[status(thm)],[34226, 14233, 34223])).
% 55.04/35.20 tff(34228,plain,
% 55.04/35.20 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB97) | (~v13(constB98)) | (~nextState(constB97, constB98)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB97) | (~v13(constB98)) | (~nextState(constB97, constB98)))),
% 55.04/35.20 inference(rewrite,[status(thm)],[])).
% 55.04/35.20 tff(34229,plain,
% 55.04/35.20 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB97) | (~v13(constB98)) | (~nextState(constB97, constB98)))),
% 55.04/35.20 inference(quant_inst,[status(thm)],[])).
% 55.04/35.20 tff(34230,plain,
% 55.04/35.20 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB97) | (~v13(constB98)) | (~nextState(constB97, constB98))),
% 55.04/35.20 inference(modus_ponens,[status(thm)],[34229, 34228])).
% 55.04/35.20 tff(34231,plain,
% 55.04/35.20 (v9(constB97) | (~v13(constB98))),
% 55.04/35.20 inference(unit_resolution,[status(thm)],[34230, 14247, 17928])).
% 55.04/35.20 tff(34232,plain,
% 55.04/35.20 (v9(constB97)),
% 55.04/35.20 inference(unit_resolution,[status(thm)],[34231, 34227])).
% 55.04/35.20 tff(34233,plain,
% 55.04/35.20 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB97) | (~v9(constB97)) | v184(constB97))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB97) | (~v9(constB97)) | v184(constB97))),
% 55.04/35.20 inference(rewrite,[status(thm)],[])).
% 55.04/35.20 tff(34234,plain,
% 55.04/35.20 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB97) | (~v9(constB97)) | v184(constB97))),
% 55.04/35.20 inference(quant_inst,[status(thm)],[])).
% 55.04/35.20 tff(34235,plain,
% 55.04/35.20 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB97) | (~v9(constB97)) | v184(constB97)),
% 55.04/35.20 inference(modus_ponens,[status(thm)],[34234, 34233])).
% 55.04/35.20 tff(34236,plain,
% 55.04/35.20 ((~v9(constB97)) | v184(constB97)),
% 55.04/35.20 inference(unit_resolution,[status(thm)],[34235, 14262, 17833])).
% 55.04/35.20 tff(34237,plain,
% 55.04/35.20 (v184(constB97)),
% 55.04/35.20 inference(unit_resolution,[status(thm)],[34236, 34232])).
% 55.04/35.20 tff(34238,plain,
% 55.04/35.20 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB97)) | v183(constB97))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB97)) | v183(constB97))),
% 55.04/35.20 inference(rewrite,[status(thm)],[])).
% 55.04/35.20 tff(34239,plain,
% 55.04/35.20 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB97)) | v183(constB97))),
% 55.04/35.20 inference(quant_inst,[status(thm)],[])).
% 55.04/35.20 tff(34240,plain,
% 55.04/35.20 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB97)) | v183(constB97)),
% 55.04/35.20 inference(modus_ponens,[status(thm)],[34239, 34238])).
% 55.04/35.20 tff(34241,plain,
% 55.04/35.20 (v183(constB97)),
% 55.04/35.20 inference(unit_resolution,[status(thm)],[34240, 14274, 34237])).
% 55.04/35.20 tff(34242,plain,
% 55.04/35.20 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB97)) | (~v183(constB97)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB97)) | (~v183(constB97)))),
% 55.04/35.20 inference(rewrite,[status(thm)],[])).
% 55.04/35.20 tff(34243,plain,
% 55.04/35.20 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB97)) | (~v183(constB97)))),
% 55.04/35.20 inference(quant_inst,[status(thm)],[])).
% 55.04/35.20 tff(34244,plain,
% 55.04/35.20 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB97)) | (~v183(constB97))),
% 55.04/35.20 inference(modus_ponens,[status(thm)],[34243, 34242])).
% 55.04/35.20 tff(34245,plain,
% 55.04/35.20 (~v181(constB97)),
% 55.04/35.20 inference(unit_resolution,[status(thm)],[34244, 14288, 34241])).
% 55.04/35.20 tff(34246,plain,
% 55.04/35.20 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB97) | v185(constB97) | (~v178(constB97)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB97) | v185(constB97) | (~v178(constB97)))),
% 55.04/35.20 inference(rewrite,[status(thm)],[])).
% 55.04/35.20 tff(34247,plain,
% 55.04/35.20 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB97) | v185(constB97) | (~v178(constB97)))),
% 55.04/35.20 inference(quant_inst,[status(thm)],[])).
% 55.04/35.20 tff(34248,plain,
% 55.04/35.20 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB97) | v185(constB97) | (~v178(constB97))),
% 55.04/35.20 inference(modus_ponens,[status(thm)],[34247, 34246])).
% 55.04/35.20 tff(34249,plain,
% 55.04/35.20 (v185(constB97) | (~v178(constB97))),
% 55.04/35.20 inference(unit_resolution,[status(thm)],[34248, 14302, 34245])).
% 55.04/35.20 tff(34250,plain,
% 55.04/35.20 (~v178(constB97)),
% 55.04/35.20 inference(unit_resolution,[status(thm)],[34249, 34210])).
% 55.04/35.20 tff(34251,plain,
% 55.04/35.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB97, constB98)) | v178(constB97) | (~v180(constB98)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB97, constB98)) | v178(constB97) | (~v180(constB98)))),
% 55.04/35.20 inference(rewrite,[status(thm)],[])).
% 55.04/35.20 tff(34252,plain,
% 55.04/35.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB97, constB98)) | v178(constB97) | (~v180(constB98)))),
% 55.04/35.20 inference(quant_inst,[status(thm)],[])).
% 55.04/35.20 tff(34253,plain,
% 55.04/35.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB97, constB98)) | v178(constB97) | (~v180(constB98))),
% 55.04/35.20 inference(modus_ponens,[status(thm)],[34252, 34251])).
% 55.04/35.20 tff(34254,plain,
% 55.04/35.20 (v178(constB97) | (~v180(constB98))),
% 55.04/35.20 inference(unit_resolution,[status(thm)],[34253, 14317, 17928])).
% 55.04/35.20 tff(34255,plain,
% 55.04/35.20 (~v180(constB98)),
% 55.04/35.20 inference(unit_resolution,[status(thm)],[34254, 34250])).
% 55.04/35.20 tff(34256,plain,
% 55.04/35.20 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB98) | (~v181(constB98)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB98) | (~v181(constB98)))),
% 55.04/35.20 inference(rewrite,[status(thm)],[])).
% 55.04/35.20 tff(34257,plain,
% 55.04/35.20 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB98) | (~v181(constB98)))),
% 55.04/35.20 inference(quant_inst,[status(thm)],[])).
% 55.04/35.20 tff(34258,plain,
% 55.04/35.20 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB98) | (~v181(constB98))),
% 55.04/35.20 inference(modus_ponens,[status(thm)],[34257, 34256])).
% 55.04/35.20 tff(34259,plain,
% 55.04/35.20 (~v181(constB98)),
% 55.04/35.20 inference(unit_resolution,[status(thm)],[34258, 14332, 34255])).
% 55.04/35.20 tff(34260,plain,
% 55.04/35.20 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB98)) | (~v184(constB98)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB98)) | (~v184(constB98)))),
% 55.04/35.20 inference(rewrite,[status(thm)],[])).
% 55.04/35.20 tff(34261,plain,
% 55.04/35.20 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB98)) | (~v184(constB98)))),
% 55.04/35.20 inference(quant_inst,[status(thm)],[])).
% 55.04/35.20 tff(34262,plain,
% 55.04/35.20 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB98)) | (~v184(constB98))),
% 55.04/35.20 inference(modus_ponens,[status(thm)],[34261, 34260])).
% 55.04/35.20 tff(34263,plain,
% 55.04/35.20 (~v184(constB98)),
% 55.04/35.20 inference(unit_resolution,[status(thm)],[34262, 88, 343])).
% 55.04/35.20 tff(34264,plain,
% 55.04/35.20 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB98) | (~v187(constB98)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB98) | (~v187(constB98)))),
% 55.04/35.20 inference(rewrite,[status(thm)],[])).
% 55.04/35.20 tff(34265,plain,
% 55.04/35.20 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB98) | (~v187(constB98)))),
% 55.04/35.20 inference(quant_inst,[status(thm)],[])).
% 55.04/35.20 tff(34266,plain,
% 55.04/35.20 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB98) | (~v187(constB98))),
% 55.04/35.20 inference(modus_ponens,[status(thm)],[34265, 34264])).
% 55.04/35.20 tff(34267,plain,
% 55.04/35.20 (~v187(constB98)),
% 55.04/35.20 inference(unit_resolution,[status(thm)],[34266, 14350, 34263])).
% 55.04/35.20 tff(34268,plain,
% 55.04/35.20 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB98) | (~v185(constB98)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB98) | (~v185(constB98)))),
% 55.04/35.20 inference(rewrite,[status(thm)],[])).
% 55.04/35.20 tff(34269,plain,
% 55.04/35.20 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB98) | (~v185(constB98)))),
% 55.04/35.20 inference(quant_inst,[status(thm)],[])).
% 55.04/35.20 tff(34270,plain,
% 55.04/35.20 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB98) | (~v185(constB98))),
% 55.04/35.20 inference(modus_ponens,[status(thm)],[34269, 34268])).
% 55.04/35.20 tff(34271,plain,
% 55.04/35.20 (~v185(constB98)),
% 55.04/35.20 inference(unit_resolution,[status(thm)],[34270, 14085, 34267])).
% 55.04/35.20 tff(34272,plain,
% 55.04/35.20 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB98) | v185(constB98) | (~v178(constB98)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB98) | v185(constB98) | (~v178(constB98)))),
% 55.04/35.21 inference(rewrite,[status(thm)],[])).
% 55.04/35.21 tff(34273,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB98) | v185(constB98) | (~v178(constB98)))),
% 55.04/35.21 inference(quant_inst,[status(thm)],[])).
% 55.04/35.21 tff(34274,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB98) | v185(constB98) | (~v178(constB98))),
% 55.04/35.21 inference(modus_ponens,[status(thm)],[34273, 34272])).
% 55.04/35.21 tff(34275,plain,
% 55.04/35.21 (v181(constB98) | (~v178(constB98))),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34274, 14302, 34271])).
% 55.04/35.21 tff(34276,plain,
% 55.04/35.21 (~v178(constB98)),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34275, 34259])).
% 55.04/35.21 tff(34277,plain,
% 55.04/35.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB98, constB99)) | v178(constB98) | (~v180(constB99)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB98, constB99)) | v178(constB98) | (~v180(constB99)))),
% 55.04/35.21 inference(rewrite,[status(thm)],[])).
% 55.04/35.21 tff(34278,plain,
% 55.04/35.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB98, constB99)) | v178(constB98) | (~v180(constB99)))),
% 55.04/35.21 inference(quant_inst,[status(thm)],[])).
% 55.04/35.21 tff(34279,plain,
% 55.04/35.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB98, constB99)) | v178(constB98) | (~v180(constB99))),
% 55.04/35.21 inference(modus_ponens,[status(thm)],[34278, 34277])).
% 55.04/35.21 tff(34280,plain,
% 55.04/35.21 (v178(constB98) | (~v180(constB99))),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34279, 14317, 18045])).
% 55.04/35.21 tff(34281,plain,
% 55.04/35.21 (~v180(constB99)),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34280, 34276])).
% 55.04/35.21 tff(34282,plain,
% 55.04/35.21 ($false),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34281, 34140])).
% 55.04/35.21 tff(34283,plain,((~(constB99 = sK_VarCurr)) | (~v180(sK_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 55.04/35.21 tff(34284,plain,
% 55.04/35.21 (~(constB99 = sK_VarCurr)),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34283, 815])).
% 55.04/35.21 tff(34285,assumption,(constB7 = sK_VarCurr), introduced(assumption)).
% 55.04/35.21 tff(34286,plain,
% 55.04/35.21 (v180(constB7) <=> v180(sK_VarCurr)),
% 55.04/35.21 inference(monotonicity,[status(thm)],[34285])).
% 55.04/35.21 tff(34287,plain,
% 55.04/35.21 (v180(sK_VarCurr) <=> v180(constB7)),
% 55.04/35.21 inference(symmetry,[status(thm)],[34286])).
% 55.04/35.21 tff(34288,plain,
% 55.04/35.21 (v180(constB7)),
% 55.04/35.21 inference(modus_ponens,[status(thm)],[819, 34287])).
% 55.04/35.21 tff(34289,plain,
% 55.04/35.21 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB5, 2)) | v90(constB5, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB5, 2)) | v90(constB5, 2))),
% 55.04/35.21 inference(rewrite,[status(thm)],[])).
% 55.04/35.21 tff(34290,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB5, 2)) | v90(constB5, 2))),
% 55.04/35.21 inference(quant_inst,[status(thm)],[])).
% 55.04/35.21 tff(34291,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB5, 2)) | v90(constB5, 2)),
% 55.04/35.21 inference(modus_ponens,[status(thm)],[34290, 34289])).
% 55.04/35.21 tff(34292,plain,
% 55.04/35.21 (~v88(constB5, 2)),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34291, 24881, 1572])).
% 55.04/35.21 tff(34293,plain,
% 55.04/35.21 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB5, 0)) | v90(constB5, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB5, 0)) | v90(constB5, 0))),
% 55.04/35.21 inference(rewrite,[status(thm)],[])).
% 55.04/35.21 tff(34294,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB5, 0)) | v90(constB5, 0))),
% 55.04/35.21 inference(quant_inst,[status(thm)],[])).
% 55.04/35.21 tff(34295,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB5, 0)) | v90(constB5, 0)),
% 55.04/35.21 inference(modus_ponens,[status(thm)],[34294, 34293])).
% 55.04/35.21 tff(34296,plain,
% 55.04/35.21 (~v88(constB5, 0)),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34295, 14132, 1721])).
% 55.04/35.21 tff(34297,plain,
% 55.04/35.21 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB5, 1)) | v88(constB5, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB5, 1)) | v88(constB5, 1))),
% 55.04/35.21 inference(rewrite,[status(thm)],[])).
% 55.04/35.21 tff(34298,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB5, 1)) | v88(constB5, 1))),
% 55.04/35.21 inference(quant_inst,[status(thm)],[])).
% 55.04/35.21 tff(34299,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB5, 1)) | v88(constB5, 1)),
% 55.04/35.21 inference(modus_ponens,[status(thm)],[34298, 34297])).
% 55.04/35.21 tff(34300,plain,
% 55.04/35.21 (v88(constB5, 1)),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34299, 24936, 1650])).
% 55.04/35.21 tff(34301,plain,
% 55.04/35.21 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB5, 0) | v88(constB5, 2) | (~v88(constB5, 1)) | v143(constB5))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB5, 0) | v88(constB5, 2) | (~v88(constB5, 1)) | v143(constB5))),
% 55.04/35.21 inference(rewrite,[status(thm)],[])).
% 55.04/35.21 tff(34302,plain,
% 55.04/35.21 ((v88(constB5, 2) | (~v88(constB5, 1)) | v88(constB5, 0) | v143(constB5)) <=> (v88(constB5, 0) | v88(constB5, 2) | (~v88(constB5, 1)) | v143(constB5))),
% 55.04/35.21 inference(rewrite,[status(thm)],[])).
% 55.04/35.21 tff(34303,plain,
% 55.04/35.21 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB5, 2) | (~v88(constB5, 1)) | v88(constB5, 0) | v143(constB5))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB5, 0) | v88(constB5, 2) | (~v88(constB5, 1)) | v143(constB5)))),
% 55.04/35.21 inference(monotonicity,[status(thm)],[34302])).
% 55.04/35.21 tff(34304,plain,
% 55.04/35.21 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB5, 2) | (~v88(constB5, 1)) | v88(constB5, 0) | v143(constB5))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB5, 0) | v88(constB5, 2) | (~v88(constB5, 1)) | v143(constB5))),
% 55.04/35.21 inference(transitivity,[status(thm)],[34303, 34301])).
% 55.04/35.21 tff(34305,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB5, 2) | (~v88(constB5, 1)) | v88(constB5, 0) | v143(constB5))),
% 55.04/35.21 inference(quant_inst,[status(thm)],[])).
% 55.04/35.21 tff(34306,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB5, 0) | v88(constB5, 2) | (~v88(constB5, 1)) | v143(constB5)),
% 55.04/35.21 inference(modus_ponens,[status(thm)],[34305, 34304])).
% 55.04/35.21 tff(34307,plain,
% 55.04/35.21 (v143(constB5)),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34306, 24950, 34300, 34296, 34292])).
% 55.04/35.21 tff(34308,plain,
% 55.04/35.21 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (v142(constB5) | (~v143(constB5)))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB5) | (~v143(constB5)))),
% 55.04/35.21 inference(rewrite,[status(thm)],[])).
% 55.04/35.21 tff(34309,plain,
% 55.04/35.21 (((~v143(constB5)) | v142(constB5)) <=> (v142(constB5) | (~v143(constB5)))),
% 55.04/35.21 inference(rewrite,[status(thm)],[])).
% 55.04/35.21 tff(34310,plain,
% 55.04/35.21 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB5)) | v142(constB5))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (v142(constB5) | (~v143(constB5))))),
% 55.04/35.21 inference(monotonicity,[status(thm)],[34309])).
% 55.04/35.21 tff(34311,plain,
% 55.04/35.21 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB5)) | v142(constB5))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB5) | (~v143(constB5)))),
% 55.04/35.21 inference(transitivity,[status(thm)],[34310, 34308])).
% 55.04/35.21 tff(34312,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB5)) | v142(constB5))),
% 55.04/35.21 inference(quant_inst,[status(thm)],[])).
% 55.04/35.21 tff(34313,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | v142(constB5) | (~v143(constB5))),
% 55.04/35.21 inference(modus_ponens,[status(thm)],[34312, 34311])).
% 55.04/35.21 tff(34314,plain,
% 55.04/35.21 (v142(constB5)),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34313, 24964, 34307])).
% 55.04/35.21 tff(34315,plain,
% 55.04/35.21 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v166(VarCurr))) | ((~v142(constB5)) | v166(constB5))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v166(VarCurr))) | (~v142(constB5)) | v166(constB5))),
% 55.04/35.21 inference(rewrite,[status(thm)],[])).
% 55.04/35.21 tff(34316,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v166(VarCurr))) | ((~v142(constB5)) | v166(constB5))),
% 55.04/35.21 inference(quant_inst,[status(thm)],[])).
% 55.04/35.21 tff(34317,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v166(VarCurr))) | (~v142(constB5)) | v166(constB5)),
% 55.04/35.21 inference(modus_ponens,[status(thm)],[34316, 34315])).
% 55.04/35.21 tff(34318,plain,
% 55.04/35.21 (v166(constB5)),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34317, 24978, 34314])).
% 55.04/35.21 tff(34319,plain,
% 55.04/35.21 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (v165(constB5) | (~v166(constB5)))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB5) | (~v166(constB5)))),
% 55.04/35.21 inference(rewrite,[status(thm)],[])).
% 55.04/35.21 tff(34320,plain,
% 55.04/35.21 (((~v166(constB5)) | v165(constB5)) <=> (v165(constB5) | (~v166(constB5)))),
% 55.04/35.21 inference(rewrite,[status(thm)],[])).
% 55.04/35.21 tff(34321,plain,
% 55.04/35.21 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB5)) | v165(constB5))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (v165(constB5) | (~v166(constB5))))),
% 55.04/35.21 inference(monotonicity,[status(thm)],[34320])).
% 55.04/35.21 tff(34322,plain,
% 55.04/35.21 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB5)) | v165(constB5))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB5) | (~v166(constB5)))),
% 55.04/35.21 inference(transitivity,[status(thm)],[34321, 34319])).
% 55.04/35.21 tff(34323,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB5)) | v165(constB5))),
% 55.04/35.21 inference(quant_inst,[status(thm)],[])).
% 55.04/35.21 tff(34324,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB5) | (~v166(constB5))),
% 55.04/35.21 inference(modus_ponens,[status(thm)],[34323, 34322])).
% 55.04/35.21 tff(34325,plain,
% 55.04/35.21 (v165(constB5)),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34324, 24989, 34318])).
% 55.04/35.21 tff(34326,plain,
% 55.04/35.21 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB5)) | (~v88(constB5, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB5)) | (~v88(constB5, 1)))),
% 55.04/35.21 inference(rewrite,[status(thm)],[])).
% 55.04/35.21 tff(34327,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB5)) | (~v88(constB5, 1)))),
% 55.04/35.21 inference(quant_inst,[status(thm)],[])).
% 55.04/35.21 tff(34328,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB5)) | (~v88(constB5, 1))),
% 55.04/35.21 inference(modus_ponens,[status(thm)],[34327, 34326])).
% 55.04/35.21 tff(34329,plain,
% 55.04/35.21 (~v139(constB5)),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34328, 25003, 34300])).
% 55.04/35.21 tff(34330,plain,
% 55.04/35.21 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB5)) | (~v88(constB5, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB5)) | (~v88(constB5, 1)))),
% 55.04/35.21 inference(rewrite,[status(thm)],[])).
% 55.04/35.21 tff(34331,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB5)) | (~v88(constB5, 1)))),
% 55.04/35.21 inference(quant_inst,[status(thm)],[])).
% 55.04/35.21 tff(34332,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB5)) | (~v88(constB5, 1))),
% 55.04/35.21 inference(modus_ponens,[status(thm)],[34331, 34330])).
% 55.04/35.21 tff(34333,plain,
% 55.04/35.21 (~v140(constB5)),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34332, 25014, 34300])).
% 55.04/35.21 tff(34334,plain,
% 55.04/35.21 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB5) | v140(constB5) | (~v170(constB5)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB5) | v140(constB5) | (~v170(constB5)))),
% 55.04/35.21 inference(rewrite,[status(thm)],[])).
% 55.04/35.21 tff(34335,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB5) | v140(constB5) | (~v170(constB5)))),
% 55.04/35.21 inference(quant_inst,[status(thm)],[])).
% 55.04/35.21 tff(34336,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB5) | v140(constB5) | (~v170(constB5))),
% 55.04/35.21 inference(modus_ponens,[status(thm)],[34335, 34334])).
% 55.04/35.21 tff(34337,plain,
% 55.04/35.21 (~v170(constB5)),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34336, 13928, 34333, 34329])).
% 55.04/35.21 tff(34338,plain,
% 55.04/35.21 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | ((~v141(constB5)) | v88(constB5, 0))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | (~v141(constB5)) | v88(constB5, 0))),
% 55.04/35.21 inference(rewrite,[status(thm)],[])).
% 55.04/35.21 tff(34339,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | ((~v141(constB5)) | v88(constB5, 0))),
% 55.04/35.21 inference(quant_inst,[status(thm)],[])).
% 55.04/35.21 tff(34340,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | (~v141(constB5)) | v88(constB5, 0)),
% 55.04/35.21 inference(modus_ponens,[status(thm)],[34339, 34338])).
% 55.04/35.21 tff(34341,plain,
% 55.04/35.21 (~v141(constB5)),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34340, 25029, 34296])).
% 55.04/35.21 tff(34342,plain,
% 55.04/35.21 (((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB5) | v170(constB5) | (~v169(constB5)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB5) | v170(constB5) | (~v169(constB5)))),
% 55.04/35.21 inference(rewrite,[status(thm)],[])).
% 55.04/35.21 tff(34343,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB5) | v170(constB5) | (~v169(constB5)))),
% 55.04/35.21 inference(quant_inst,[status(thm)],[])).
% 55.04/35.21 tff(34344,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB5) | v170(constB5) | (~v169(constB5))),
% 55.04/35.21 inference(modus_ponens,[status(thm)],[34343, 34342])).
% 55.04/35.21 tff(34345,plain,
% 55.04/35.21 (~v169(constB5)),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34344, 13953, 34341, 34337])).
% 55.04/35.21 tff(34346,plain,
% 55.04/35.21 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB5)) | (~v165(constB5)) | v169(constB5))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB5)) | (~v165(constB5)) | v169(constB5))),
% 55.04/35.21 inference(rewrite,[status(thm)],[])).
% 55.04/35.21 tff(34347,plain,
% 55.04/35.21 (((~v165(constB5)) | v169(constB5) | (~v162(constB5))) <=> ((~v162(constB5)) | (~v165(constB5)) | v169(constB5))),
% 55.04/35.21 inference(rewrite,[status(thm)],[])).
% 55.04/35.21 tff(34348,plain,
% 55.04/35.21 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB5)) | v169(constB5) | (~v162(constB5)))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB5)) | (~v165(constB5)) | v169(constB5)))),
% 55.04/35.21 inference(monotonicity,[status(thm)],[34347])).
% 55.04/35.21 tff(34349,plain,
% 55.04/35.21 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB5)) | v169(constB5) | (~v162(constB5)))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB5)) | (~v165(constB5)) | v169(constB5))),
% 55.04/35.21 inference(transitivity,[status(thm)],[34348, 34346])).
% 55.04/35.21 tff(34350,plain,
% 55.04/35.21 ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB5)) | v169(constB5) | (~v162(constB5)))),
% 55.04/35.21 inference(quant_inst,[status(thm)],[])).
% 55.04/35.21 tff(34351,plain,
% 55.04/35.21 ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB5)) | (~v165(constB5)) | v169(constB5)),
% 55.04/35.21 inference(modus_ponens,[status(thm)],[34350, 34349])).
% 55.04/35.21 tff(34352,plain,
% 55.04/35.21 ((~v162(constB5)) | (~v165(constB5))),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34351, 14054, 34345])).
% 55.04/35.21 tff(34353,plain,
% 55.04/35.21 (~v162(constB5)),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34352, 34325])).
% 55.04/35.21 tff(34354,plain,
% 55.04/35.21 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB5) | (~v187(constB5)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB5) | (~v187(constB5)))),
% 55.04/35.21 inference(rewrite,[status(thm)],[])).
% 55.04/35.21 tff(34355,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB5) | (~v187(constB5)))),
% 55.04/35.21 inference(quant_inst,[status(thm)],[])).
% 55.04/35.21 tff(34356,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB5) | (~v187(constB5))),
% 55.04/35.21 inference(modus_ponens,[status(thm)],[34355, 34354])).
% 55.04/35.21 tff(34357,plain,
% 55.04/35.21 (~v187(constB5)),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34356, 14071, 34353])).
% 55.04/35.21 tff(34358,plain,
% 55.04/35.21 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB5) | (~v185(constB5)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB5) | (~v185(constB5)))),
% 55.04/35.21 inference(rewrite,[status(thm)],[])).
% 55.04/35.21 tff(34359,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB5) | (~v185(constB5)))),
% 55.04/35.21 inference(quant_inst,[status(thm)],[])).
% 55.04/35.21 tff(34360,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB5) | (~v185(constB5))),
% 55.04/35.21 inference(modus_ponens,[status(thm)],[34359, 34358])).
% 55.04/35.21 tff(34361,plain,
% 55.04/35.21 (~v185(constB5)),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34360, 14085, 34357])).
% 55.04/35.21 tff(34362,assumption,(v18(constB6)), introduced(assumption)).
% 55.04/35.21 tff(34363,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB6))),
% 55.04/35.21 inference(quant_inst,[status(thm)],[])).
% 55.04/35.21 tff(34364,plain,
% 55.04/35.21 ($false),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34363, 14194, 34362])).
% 55.04/35.21 tff(34365,plain,(~v18(constB6)), inference(lemma,lemma(discharge,[]))).
% 55.04/35.21 tff(34366,plain,
% 55.04/35.21 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB6) | (~v1(constB6)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB6) | (~v1(constB6)))),
% 55.04/35.21 inference(rewrite,[status(thm)],[])).
% 55.04/35.21 tff(34367,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB6) | (~v1(constB6)))),
% 55.04/35.21 inference(quant_inst,[status(thm)],[])).
% 55.04/35.21 tff(34368,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB6) | (~v1(constB6))),
% 55.04/35.21 inference(modus_ponens,[status(thm)],[34367, 34366])).
% 55.04/35.21 tff(34369,plain,
% 55.04/35.21 (v22(constB6)),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34368, 14207, 662])).
% 55.04/35.21 tff(34370,plain,
% 55.04/35.21 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB6) | (~v22(constB6)) | (~v19(constB6)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB6) | (~v22(constB6)) | (~v19(constB6)))),
% 55.04/35.21 inference(rewrite,[status(thm)],[])).
% 55.04/35.21 tff(34371,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB6) | (~v22(constB6)) | (~v19(constB6)))),
% 55.04/35.21 inference(quant_inst,[status(thm)],[])).
% 55.04/35.21 tff(34372,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB6) | (~v22(constB6)) | (~v19(constB6))),
% 55.04/35.21 inference(modus_ponens,[status(thm)],[34371, 34370])).
% 55.04/35.21 tff(34373,plain,
% 55.04/35.21 (v18(constB6) | (~v19(constB6))),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34372, 14221, 34369])).
% 55.04/35.21 tff(34374,plain,
% 55.04/35.21 (~v19(constB6)),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34373, 34365])).
% 55.04/35.21 tff(34375,plain,
% 55.04/35.21 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB6) | v19(constB6))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB6) | v19(constB6))),
% 55.04/35.21 inference(rewrite,[status(thm)],[])).
% 55.04/35.21 tff(34376,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB6) | v19(constB6))),
% 55.04/35.21 inference(quant_inst,[status(thm)],[])).
% 55.04/35.21 tff(34377,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB6) | v19(constB6)),
% 55.04/35.21 inference(modus_ponens,[status(thm)],[34376, 34375])).
% 55.04/35.21 tff(34378,plain,
% 55.04/35.21 (v13(constB6)),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34377, 14233, 34374])).
% 55.04/35.21 tff(34379,plain,
% 55.04/35.21 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB5) | (~v13(constB6)) | (~nextState(constB5, constB6)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB5) | (~v13(constB6)) | (~nextState(constB5, constB6)))),
% 55.04/35.21 inference(rewrite,[status(thm)],[])).
% 55.04/35.21 tff(34380,plain,
% 55.04/35.21 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB5) | (~v13(constB6)) | (~nextState(constB5, constB6)))),
% 55.04/35.21 inference(quant_inst,[status(thm)],[])).
% 55.04/35.21 tff(34381,plain,
% 55.04/35.21 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB5) | (~v13(constB6)) | (~nextState(constB5, constB6))),
% 55.04/35.21 inference(modus_ponens,[status(thm)],[34380, 34379])).
% 55.04/35.21 tff(34382,plain,
% 55.04/35.21 (v9(constB5) | (~v13(constB6))),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34381, 14247, 1783])).
% 55.04/35.21 tff(34383,plain,
% 55.04/35.21 (v9(constB5)),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34382, 34378])).
% 55.04/35.21 tff(34384,plain,
% 55.04/35.21 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB5) | (~v9(constB5)) | v184(constB5))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB5) | (~v9(constB5)) | v184(constB5))),
% 55.04/35.21 inference(rewrite,[status(thm)],[])).
% 55.04/35.21 tff(34385,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB5) | (~v9(constB5)) | v184(constB5))),
% 55.04/35.21 inference(quant_inst,[status(thm)],[])).
% 55.04/35.21 tff(34386,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB5) | (~v9(constB5)) | v184(constB5)),
% 55.04/35.21 inference(modus_ponens,[status(thm)],[34385, 34384])).
% 55.04/35.21 tff(34387,plain,
% 55.04/35.21 ((~v9(constB5)) | v184(constB5)),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34386, 14262, 1548])).
% 55.04/35.21 tff(34388,plain,
% 55.04/35.21 (v184(constB5)),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34387, 34383])).
% 55.04/35.21 tff(34389,plain,
% 55.04/35.21 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB5)) | v183(constB5))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB5)) | v183(constB5))),
% 55.04/35.21 inference(rewrite,[status(thm)],[])).
% 55.04/35.21 tff(34390,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB5)) | v183(constB5))),
% 55.04/35.21 inference(quant_inst,[status(thm)],[])).
% 55.04/35.21 tff(34391,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (~v184(constB5)) | v183(constB5)),
% 55.04/35.21 inference(modus_ponens,[status(thm)],[34390, 34389])).
% 55.04/35.21 tff(34392,plain,
% 55.04/35.21 (v183(constB5)),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34391, 14274, 34388])).
% 55.04/35.21 tff(34393,plain,
% 55.04/35.21 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB5)) | (~v183(constB5)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB5)) | (~v183(constB5)))),
% 55.04/35.21 inference(rewrite,[status(thm)],[])).
% 55.04/35.21 tff(34394,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB5)) | (~v183(constB5)))),
% 55.04/35.21 inference(quant_inst,[status(thm)],[])).
% 55.04/35.21 tff(34395,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB5)) | (~v183(constB5))),
% 55.04/35.21 inference(modus_ponens,[status(thm)],[34394, 34393])).
% 55.04/35.21 tff(34396,plain,
% 55.04/35.21 (~v181(constB5)),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34395, 14288, 34392])).
% 55.04/35.21 tff(34397,plain,
% 55.04/35.21 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB5) | v185(constB5) | (~v178(constB5)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB5) | v185(constB5) | (~v178(constB5)))),
% 55.04/35.21 inference(rewrite,[status(thm)],[])).
% 55.04/35.21 tff(34398,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB5) | v185(constB5) | (~v178(constB5)))),
% 55.04/35.21 inference(quant_inst,[status(thm)],[])).
% 55.04/35.21 tff(34399,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB5) | v185(constB5) | (~v178(constB5))),
% 55.04/35.21 inference(modus_ponens,[status(thm)],[34398, 34397])).
% 55.04/35.21 tff(34400,plain,
% 55.04/35.21 (v185(constB5) | (~v178(constB5))),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34399, 14302, 34396])).
% 55.04/35.21 tff(34401,plain,
% 55.04/35.21 (~v178(constB5)),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34400, 34361])).
% 55.04/35.21 tff(34402,plain,
% 55.04/35.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB5, constB6)) | v178(constB5) | (~v180(constB6)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB5, constB6)) | v178(constB5) | (~v180(constB6)))),
% 55.04/35.21 inference(rewrite,[status(thm)],[])).
% 55.04/35.21 tff(34403,plain,
% 55.04/35.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB5, constB6)) | v178(constB5) | (~v180(constB6)))),
% 55.04/35.21 inference(quant_inst,[status(thm)],[])).
% 55.04/35.21 tff(34404,plain,
% 55.04/35.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB5, constB6)) | v178(constB5) | (~v180(constB6))),
% 55.04/35.21 inference(modus_ponens,[status(thm)],[34403, 34402])).
% 55.04/35.21 tff(34405,plain,
% 55.04/35.21 (v178(constB5) | (~v180(constB6))),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34404, 14317, 1783])).
% 55.04/35.21 tff(34406,plain,
% 55.04/35.21 (~v180(constB6)),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34405, 34401])).
% 55.04/35.21 tff(34407,plain,
% 55.04/35.21 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB6) | (~v181(constB6)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB6) | (~v181(constB6)))),
% 55.04/35.21 inference(rewrite,[status(thm)],[])).
% 55.04/35.21 tff(34408,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB6) | (~v181(constB6)))),
% 55.04/35.21 inference(quant_inst,[status(thm)],[])).
% 55.04/35.21 tff(34409,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB6) | (~v181(constB6))),
% 55.04/35.21 inference(modus_ponens,[status(thm)],[34408, 34407])).
% 55.04/35.21 tff(34410,plain,
% 55.04/35.21 (~v181(constB6)),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34409, 14332, 34406])).
% 55.04/35.21 tff(34411,plain,
% 55.04/35.21 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB6)) | (~v184(constB6)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB6)) | (~v184(constB6)))),
% 55.04/35.21 inference(rewrite,[status(thm)],[])).
% 55.04/35.21 tff(34412,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB6)) | (~v184(constB6)))),
% 55.04/35.21 inference(quant_inst,[status(thm)],[])).
% 55.04/35.21 tff(34413,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB6)) | (~v184(constB6))),
% 55.04/35.21 inference(modus_ponens,[status(thm)],[34412, 34411])).
% 55.04/35.21 tff(34414,plain,
% 55.04/35.21 (~v184(constB6)),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34413, 88, 662])).
% 55.04/35.21 tff(34415,plain,
% 55.04/35.21 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB6) | (~v187(constB6)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB6) | (~v187(constB6)))),
% 55.04/35.21 inference(rewrite,[status(thm)],[])).
% 55.04/35.21 tff(34416,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB6) | (~v187(constB6)))),
% 55.04/35.21 inference(quant_inst,[status(thm)],[])).
% 55.04/35.21 tff(34417,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB6) | (~v187(constB6))),
% 55.04/35.21 inference(modus_ponens,[status(thm)],[34416, 34415])).
% 55.04/35.21 tff(34418,plain,
% 55.04/35.21 (~v187(constB6)),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34417, 14350, 34414])).
% 55.04/35.21 tff(34419,plain,
% 55.04/35.21 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB6) | (~v185(constB6)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB6) | (~v185(constB6)))),
% 55.04/35.21 inference(rewrite,[status(thm)],[])).
% 55.04/35.21 tff(34420,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB6) | (~v185(constB6)))),
% 55.04/35.21 inference(quant_inst,[status(thm)],[])).
% 55.04/35.21 tff(34421,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB6) | (~v185(constB6))),
% 55.04/35.21 inference(modus_ponens,[status(thm)],[34420, 34419])).
% 55.04/35.21 tff(34422,plain,
% 55.04/35.21 (~v185(constB6)),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34421, 14085, 34418])).
% 55.04/35.21 tff(34423,plain,
% 55.04/35.21 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB6) | v185(constB6) | (~v178(constB6)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB6) | v185(constB6) | (~v178(constB6)))),
% 55.04/35.21 inference(rewrite,[status(thm)],[])).
% 55.04/35.21 tff(34424,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB6) | v185(constB6) | (~v178(constB6)))),
% 55.04/35.21 inference(quant_inst,[status(thm)],[])).
% 55.04/35.21 tff(34425,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB6) | v185(constB6) | (~v178(constB6))),
% 55.04/35.21 inference(modus_ponens,[status(thm)],[34424, 34423])).
% 55.04/35.21 tff(34426,plain,
% 55.04/35.21 (v181(constB6) | (~v178(constB6))),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34425, 14302, 34422])).
% 55.04/35.21 tff(34427,plain,
% 55.04/35.21 (~v178(constB6)),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34426, 34410])).
% 55.04/35.21 tff(34428,plain,
% 55.04/35.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB6, constB7)) | v178(constB6) | (~v180(constB7)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB6, constB7)) | v178(constB6) | (~v180(constB7)))),
% 55.04/35.21 inference(rewrite,[status(thm)],[])).
% 55.04/35.21 tff(34429,plain,
% 55.04/35.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB6, constB7)) | v178(constB6) | (~v180(constB7)))),
% 55.04/35.21 inference(quant_inst,[status(thm)],[])).
% 55.04/35.21 tff(34430,plain,
% 55.04/35.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB6, constB7)) | v178(constB6) | (~v180(constB7))),
% 55.04/35.21 inference(modus_ponens,[status(thm)],[34429, 34428])).
% 55.04/35.21 tff(34431,plain,
% 55.04/35.21 (v178(constB6) | (~v180(constB7))),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34430, 14317, 1849])).
% 55.04/35.21 tff(34432,plain,
% 55.04/35.21 (~v180(constB7)),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34431, 34427])).
% 55.04/35.21 tff(34433,plain,
% 55.04/35.21 ($false),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34432, 34288])).
% 55.04/35.21 tff(34434,plain,((~(constB7 = sK_VarCurr)) | (~v180(sK_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 55.04/35.21 tff(34435,plain,
% 55.04/35.21 (~(constB7 = sK_VarCurr)),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34434, 815])).
% 55.04/35.21 tff(34436,assumption,(constB127 = sK_VarCurr), introduced(assumption)).
% 55.04/35.21 tff(34437,plain,
% 55.04/35.21 (v180(constB127) <=> v180(sK_VarCurr)),
% 55.04/35.21 inference(monotonicity,[status(thm)],[34436])).
% 55.04/35.21 tff(34438,plain,
% 55.04/35.21 (v180(sK_VarCurr) <=> v180(constB127)),
% 55.04/35.21 inference(symmetry,[status(thm)],[34437])).
% 55.04/35.21 tff(34439,plain,
% 55.04/35.21 (v180(constB127)),
% 55.04/35.21 inference(modus_ponens,[status(thm)],[819, 34438])).
% 55.04/35.21 tff(34440,plain,
% 55.04/35.21 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB123, 2)) | v90(constB123, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB123, 2)) | v90(constB123, 2))),
% 55.04/35.21 inference(rewrite,[status(thm)],[])).
% 55.04/35.21 tff(34441,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB123, 2)) | v90(constB123, 2))),
% 55.04/35.21 inference(quant_inst,[status(thm)],[])).
% 55.04/35.21 tff(34442,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB123, 2)) | v90(constB123, 2)),
% 55.04/35.21 inference(modus_ponens,[status(thm)],[34441, 34440])).
% 55.04/35.21 tff(34443,plain,
% 55.04/35.21 (~v88(constB123, 2)),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34442, 24881, 21014])).
% 55.04/35.21 tff(34444,plain,
% 55.04/35.21 (((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB123, 1)) | v90(constB123, 1))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB123, 1)) | v90(constB123, 1))),
% 55.04/35.21 inference(rewrite,[status(thm)],[])).
% 55.04/35.21 tff(34445,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | ((~v88(constB123, 1)) | v90(constB123, 1))),
% 55.04/35.21 inference(quant_inst,[status(thm)],[])).
% 55.04/35.21 tff(34446,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : ((~v88(VarCurr, 1)) | v90(VarCurr, 1))) | (~v88(constB123, 1)) | v90(constB123, 1)),
% 55.04/35.21 inference(modus_ponens,[status(thm)],[34445, 34444])).
% 55.04/35.21 tff(34447,plain,
% 55.04/35.21 (~v88(constB123, 1)),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34446, 13998, 21048])).
% 55.04/35.21 tff(34448,plain,
% 55.04/35.21 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB123, 0)) | v88(constB123, 0))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB123, 0)) | v88(constB123, 0))),
% 55.04/35.21 inference(rewrite,[status(thm)],[])).
% 55.04/35.21 tff(34449,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | ((~v90(constB123, 0)) | v88(constB123, 0))),
% 55.04/35.21 inference(quant_inst,[status(thm)],[])).
% 55.04/35.21 tff(34450,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v88(VarCurr, 0))) | (~v90(constB123, 0)) | v88(constB123, 0)),
% 55.04/35.21 inference(modus_ponens,[status(thm)],[34449, 34448])).
% 55.04/35.21 tff(34451,plain,
% 55.04/35.21 (v88(constB123, 0)),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34450, 13903, 21079])).
% 55.04/35.21 tff(34452,plain,
% 55.04/35.21 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | ((~v88(constB123, 0)) | v88(constB123, 2) | v88(constB123, 1) | v140(constB123))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (~v88(constB123, 0)) | v88(constB123, 2) | v88(constB123, 1) | v140(constB123))),
% 55.04/35.21 inference(rewrite,[status(thm)],[])).
% 55.04/35.21 tff(34453,plain,
% 55.04/35.21 ((v88(constB123, 2) | v88(constB123, 1) | (~v88(constB123, 0)) | v140(constB123)) <=> ((~v88(constB123, 0)) | v88(constB123, 2) | v88(constB123, 1) | v140(constB123))),
% 55.04/35.21 inference(rewrite,[status(thm)],[])).
% 55.04/35.21 tff(34454,plain,
% 55.04/35.21 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB123, 2) | v88(constB123, 1) | (~v88(constB123, 0)) | v140(constB123))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | ((~v88(constB123, 0)) | v88(constB123, 2) | v88(constB123, 1) | v140(constB123)))),
% 55.04/35.21 inference(monotonicity,[status(thm)],[34453])).
% 55.04/35.21 tff(34455,plain,
% 55.04/35.21 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB123, 2) | v88(constB123, 1) | (~v88(constB123, 0)) | v140(constB123))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (~v88(constB123, 0)) | v88(constB123, 2) | v88(constB123, 1) | v140(constB123))),
% 55.04/35.21 inference(transitivity,[status(thm)],[34454, 34452])).
% 55.04/35.21 tff(34456,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (v88(constB123, 2) | v88(constB123, 1) | (~v88(constB123, 0)) | v140(constB123))),
% 55.04/35.21 inference(quant_inst,[status(thm)],[])).
% 55.04/35.21 tff(34457,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | v88(VarCurr, 1) | (~v88(VarCurr, 0)) | v140(VarCurr))) | (~v88(constB123, 0)) | v88(constB123, 2) | v88(constB123, 1) | v140(constB123)),
% 55.04/35.21 inference(modus_ponens,[status(thm)],[34456, 34455])).
% 55.04/35.21 tff(34458,plain,
% 55.04/35.21 (v140(constB123)),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34457, 25313, 34451, 34447, 34443])).
% 55.04/35.21 tff(34459,plain,
% 55.04/35.21 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | v170(VarCurr))) | ((~v140(constB123)) | v170(constB123))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v170(VarCurr))) | (~v140(constB123)) | v170(constB123))),
% 55.04/35.21 inference(rewrite,[status(thm)],[])).
% 55.04/35.21 tff(34460,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v170(VarCurr))) | ((~v140(constB123)) | v170(constB123))),
% 55.04/35.21 inference(quant_inst,[status(thm)],[])).
% 55.04/35.21 tff(34461,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | v170(VarCurr))) | (~v140(constB123)) | v170(constB123)),
% 55.04/35.21 inference(modus_ponens,[status(thm)],[34460, 34459])).
% 55.04/35.21 tff(34462,plain,
% 55.04/35.21 (v170(constB123)),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34461, 25327, 34458])).
% 55.04/35.21 tff(34463,plain,
% 55.04/35.21 (((~![VarCurr: state_type] : (v167(VarCurr) | (~v170(VarCurr)))) | (v167(constB123) | (~v170(constB123)))) <=> ((~![VarCurr: state_type] : (v167(VarCurr) | (~v170(VarCurr)))) | v167(constB123) | (~v170(constB123)))),
% 55.04/35.21 inference(rewrite,[status(thm)],[])).
% 55.04/35.21 tff(34464,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : (v167(VarCurr) | (~v170(VarCurr)))) | (v167(constB123) | (~v170(constB123)))),
% 55.04/35.21 inference(quant_inst,[status(thm)],[])).
% 55.04/35.21 tff(34465,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : (v167(VarCurr) | (~v170(VarCurr)))) | v167(constB123) | (~v170(constB123))),
% 55.04/35.21 inference(modus_ponens,[status(thm)],[34464, 34463])).
% 55.04/35.21 tff(34466,plain,
% 55.04/35.21 (v167(constB123)),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34465, 25341, 34462])).
% 55.04/35.21 tff(34467,plain,
% 55.04/35.21 (((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB123) | (~v167(constB123)))) <=> ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB123) | (~v167(constB123)))),
% 55.04/35.21 inference(rewrite,[status(thm)],[])).
% 55.04/35.21 tff(34468,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | (v166(constB123) | (~v167(constB123)))),
% 55.04/35.21 inference(quant_inst,[status(thm)],[])).
% 55.04/35.21 tff(34469,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : (v166(VarCurr) | (~v167(VarCurr)))) | v166(constB123) | (~v167(constB123))),
% 55.04/35.21 inference(modus_ponens,[status(thm)],[34468, 34467])).
% 55.04/35.21 tff(34470,plain,
% 55.04/35.21 (v166(constB123)),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34469, 25355, 34466])).
% 55.04/35.21 tff(34471,plain,
% 55.04/35.21 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (v165(constB123) | (~v166(constB123)))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB123) | (~v166(constB123)))),
% 55.04/35.21 inference(rewrite,[status(thm)],[])).
% 55.04/35.21 tff(34472,plain,
% 55.04/35.21 (((~v166(constB123)) | v165(constB123)) <=> (v165(constB123) | (~v166(constB123)))),
% 55.04/35.21 inference(rewrite,[status(thm)],[])).
% 55.04/35.21 tff(34473,plain,
% 55.04/35.21 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB123)) | v165(constB123))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (v165(constB123) | (~v166(constB123))))),
% 55.04/35.21 inference(monotonicity,[status(thm)],[34472])).
% 55.04/35.21 tff(34474,plain,
% 55.04/35.21 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB123)) | v165(constB123))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB123) | (~v166(constB123)))),
% 55.04/35.21 inference(transitivity,[status(thm)],[34473, 34471])).
% 55.04/35.21 tff(34475,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB123)) | v165(constB123))),
% 55.04/35.21 inference(quant_inst,[status(thm)],[])).
% 55.04/35.21 tff(34476,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB123) | (~v166(constB123))),
% 55.04/35.21 inference(modus_ponens,[status(thm)],[34475, 34474])).
% 55.04/35.21 tff(34477,plain,
% 55.04/35.21 (v165(constB123)),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34476, 24989, 34470])).
% 55.04/35.21 tff(34478,plain,
% 55.04/35.21 (((~![VarCurr: state_type] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | ((~v169(constB123)) | (~v170(constB123)))) <=> ((~![VarCurr: state_type] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | (~v169(constB123)) | (~v170(constB123)))),
% 55.04/35.21 inference(rewrite,[status(thm)],[])).
% 55.04/35.21 tff(34479,plain,
% 55.04/35.21 (((~v170(constB123)) | (~v169(constB123))) <=> ((~v169(constB123)) | (~v170(constB123)))),
% 55.04/35.21 inference(rewrite,[status(thm)],[])).
% 55.04/35.21 tff(34480,plain,
% 55.04/35.21 (((~![VarCurr: state_type] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | ((~v170(constB123)) | (~v169(constB123)))) <=> ((~![VarCurr: state_type] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | ((~v169(constB123)) | (~v170(constB123))))),
% 55.04/35.21 inference(monotonicity,[status(thm)],[34479])).
% 55.04/35.21 tff(34481,plain,
% 55.04/35.21 (((~![VarCurr: state_type] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | ((~v170(constB123)) | (~v169(constB123)))) <=> ((~![VarCurr: state_type] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | (~v169(constB123)) | (~v170(constB123)))),
% 55.04/35.21 inference(transitivity,[status(thm)],[34480, 34478])).
% 55.04/35.21 tff(34482,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | ((~v170(constB123)) | (~v169(constB123)))),
% 55.04/35.21 inference(quant_inst,[status(thm)],[])).
% 55.04/35.21 tff(34483,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : ((~v170(VarCurr)) | (~v169(VarCurr)))) | (~v169(constB123)) | (~v170(constB123))),
% 55.04/35.21 inference(modus_ponens,[status(thm)],[34482, 34481])).
% 55.04/35.21 tff(34484,plain,
% 55.04/35.21 (~v169(constB123)),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34483, 25373, 34462])).
% 55.04/35.21 tff(34485,plain,
% 55.04/35.21 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB123)) | (~v165(constB123)) | v169(constB123))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB123)) | (~v165(constB123)) | v169(constB123))),
% 55.04/35.21 inference(rewrite,[status(thm)],[])).
% 55.04/35.21 tff(34486,plain,
% 55.04/35.21 (((~v165(constB123)) | v169(constB123) | (~v162(constB123))) <=> ((~v162(constB123)) | (~v165(constB123)) | v169(constB123))),
% 55.04/35.21 inference(rewrite,[status(thm)],[])).
% 55.04/35.21 tff(34487,plain,
% 55.04/35.21 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB123)) | v169(constB123) | (~v162(constB123)))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB123)) | (~v165(constB123)) | v169(constB123)))),
% 55.04/35.21 inference(monotonicity,[status(thm)],[34486])).
% 55.04/35.21 tff(34488,plain,
% 55.04/35.21 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB123)) | v169(constB123) | (~v162(constB123)))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB123)) | (~v165(constB123)) | v169(constB123))),
% 55.04/35.21 inference(transitivity,[status(thm)],[34487, 34485])).
% 55.04/35.21 tff(34489,plain,
% 55.04/35.21 ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB123)) | v169(constB123) | (~v162(constB123)))),
% 55.04/35.21 inference(quant_inst,[status(thm)],[])).
% 55.04/35.21 tff(34490,plain,
% 55.04/35.21 ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB123)) | (~v165(constB123)) | v169(constB123)),
% 55.04/35.21 inference(modus_ponens,[status(thm)],[34489, 34488])).
% 55.04/35.21 tff(34491,plain,
% 55.04/35.21 ((~v162(constB123)) | (~v165(constB123))),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34490, 14054, 34484])).
% 55.04/35.21 tff(34492,plain,
% 55.04/35.21 (~v162(constB123)),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34491, 34477])).
% 55.04/35.21 tff(34493,plain,
% 55.04/35.21 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB123) | (~v187(constB123)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB123) | (~v187(constB123)))),
% 55.04/35.21 inference(rewrite,[status(thm)],[])).
% 55.04/35.21 tff(34494,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB123) | (~v187(constB123)))),
% 55.04/35.21 inference(quant_inst,[status(thm)],[])).
% 55.04/35.21 tff(34495,plain,
% 55.04/35.21 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB123) | (~v187(constB123))),
% 55.04/35.21 inference(modus_ponens,[status(thm)],[34494, 34493])).
% 55.04/35.21 tff(34496,plain,
% 55.04/35.21 (~v187(constB123)),
% 55.04/35.21 inference(unit_resolution,[status(thm)],[34495, 14071, 34492])).
% 55.04/35.22 tff(34497,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB123) | (~v185(constB123)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB123) | (~v185(constB123)))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34498,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB123) | (~v185(constB123)))),
% 55.04/35.22 inference(quant_inst,[status(thm)],[])).
% 55.04/35.22 tff(34499,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB123) | (~v185(constB123))),
% 55.04/35.22 inference(modus_ponens,[status(thm)],[34498, 34497])).
% 55.04/35.22 tff(34500,plain,
% 55.04/35.22 (~v185(constB123)),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34499, 14085, 34496])).
% 55.04/35.22 tff(34501,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB121, 0)) | v90(constB121, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB121, 0)) | v90(constB121, 0))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34502,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB121, 0)) | v90(constB121, 0))),
% 55.04/35.22 inference(quant_inst,[status(thm)],[])).
% 55.04/35.22 tff(34503,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB121, 0)) | v90(constB121, 0)),
% 55.04/35.22 inference(modus_ponens,[status(thm)],[34502, 34501])).
% 55.04/35.22 tff(34504,plain,
% 55.04/35.22 (~v88(constB121, 0)),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34503, 14132, 20880])).
% 55.04/35.22 tff(34505,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB121, 2)) | v88(constB121, 2))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB121, 2)) | v88(constB121, 2))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34506,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | ((~v90(constB121, 2)) | v88(constB121, 2))),
% 55.04/35.22 inference(quant_inst,[status(thm)],[])).
% 55.04/35.22 tff(34507,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : ((~v90(VarCurr, 2)) | v88(VarCurr, 2))) | (~v90(constB121, 2)) | v88(constB121, 2)),
% 55.04/35.22 inference(modus_ponens,[status(thm)],[34506, 34505])).
% 55.04/35.22 tff(34508,plain,
% 55.04/35.22 (v88(constB121, 2)),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34507, 13850, 20807])).
% 55.04/35.22 tff(34509,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB121, 1)) | v88(constB121, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB121, 1)) | v88(constB121, 1))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34510,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB121, 1)) | v88(constB121, 1))),
% 55.04/35.22 inference(quant_inst,[status(thm)],[])).
% 55.04/35.22 tff(34511,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB121, 1)) | v88(constB121, 1)),
% 55.04/35.22 inference(modus_ponens,[status(thm)],[34510, 34509])).
% 55.04/35.22 tff(34512,plain,
% 55.04/35.22 (v88(constB121, 1)),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34511, 24936, 20838])).
% 55.04/35.22 tff(34513,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (v88(constB121, 0) | (~v88(constB121, 1)) | (~v88(constB121, 2)) | v144(constB121))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB121, 0) | (~v88(constB121, 1)) | (~v88(constB121, 2)) | v144(constB121))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34514,plain,
% 55.04/35.22 (((~v88(constB121, 2)) | (~v88(constB121, 1)) | v88(constB121, 0) | v144(constB121)) <=> (v88(constB121, 0) | (~v88(constB121, 1)) | (~v88(constB121, 2)) | v144(constB121))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34515,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB121, 2)) | (~v88(constB121, 1)) | v88(constB121, 0) | v144(constB121))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | (v88(constB121, 0) | (~v88(constB121, 1)) | (~v88(constB121, 2)) | v144(constB121)))),
% 55.04/35.22 inference(monotonicity,[status(thm)],[34514])).
% 55.04/35.22 tff(34516,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB121, 2)) | (~v88(constB121, 1)) | v88(constB121, 0) | v144(constB121))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB121, 0) | (~v88(constB121, 1)) | (~v88(constB121, 2)) | v144(constB121))),
% 55.04/35.22 inference(transitivity,[status(thm)],[34515, 34513])).
% 55.04/35.22 tff(34517,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | ((~v88(constB121, 2)) | (~v88(constB121, 1)) | v88(constB121, 0) | v144(constB121))),
% 55.04/35.22 inference(quant_inst,[status(thm)],[])).
% 55.04/35.22 tff(34518,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v144(VarCurr))) | v88(constB121, 0) | (~v88(constB121, 1)) | (~v88(constB121, 2)) | v144(constB121)),
% 55.04/35.22 inference(modus_ponens,[status(thm)],[34517, 34516])).
% 55.04/35.22 tff(34519,plain,
% 55.04/35.22 (v144(constB121)),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34518, 31966, 34512, 34508, 34504])).
% 55.04/35.22 tff(34520,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (v142(constB121) | (~v144(constB121)))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | v142(constB121) | (~v144(constB121)))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34521,plain,
% 55.04/35.22 (((~v144(constB121)) | v142(constB121)) <=> (v142(constB121) | (~v144(constB121)))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34522,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB121)) | v142(constB121))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | (v142(constB121) | (~v144(constB121))))),
% 55.04/35.22 inference(monotonicity,[status(thm)],[34521])).
% 55.04/35.22 tff(34523,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB121)) | v142(constB121))) <=> ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | v142(constB121) | (~v144(constB121)))),
% 55.04/35.22 inference(transitivity,[status(thm)],[34522, 34520])).
% 55.04/35.22 tff(34524,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | ((~v144(constB121)) | v142(constB121))),
% 55.04/35.22 inference(quant_inst,[status(thm)],[])).
% 55.04/35.22 tff(34525,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : ((~v144(VarCurr)) | v142(VarCurr))) | v142(constB121) | (~v144(constB121))),
% 55.04/35.22 inference(modus_ponens,[status(thm)],[34524, 34523])).
% 55.04/35.22 tff(34526,plain,
% 55.04/35.22 (v142(constB121)),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34525, 31980, 34519])).
% 55.04/35.22 tff(34527,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v166(VarCurr))) | ((~v142(constB121)) | v166(constB121))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v166(VarCurr))) | (~v142(constB121)) | v166(constB121))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34528,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v166(VarCurr))) | ((~v142(constB121)) | v166(constB121))),
% 55.04/35.22 inference(quant_inst,[status(thm)],[])).
% 55.04/35.22 tff(34529,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v166(VarCurr))) | (~v142(constB121)) | v166(constB121)),
% 55.04/35.22 inference(modus_ponens,[status(thm)],[34528, 34527])).
% 55.04/35.22 tff(34530,plain,
% 55.04/35.22 (v166(constB121)),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34529, 24978, 34526])).
% 55.04/35.22 tff(34531,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (v165(constB121) | (~v166(constB121)))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB121) | (~v166(constB121)))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34532,plain,
% 55.04/35.22 (((~v166(constB121)) | v165(constB121)) <=> (v165(constB121) | (~v166(constB121)))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34533,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB121)) | v165(constB121))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (v165(constB121) | (~v166(constB121))))),
% 55.04/35.22 inference(monotonicity,[status(thm)],[34532])).
% 55.04/35.22 tff(34534,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB121)) | v165(constB121))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB121) | (~v166(constB121)))),
% 55.04/35.22 inference(transitivity,[status(thm)],[34533, 34531])).
% 55.04/35.22 tff(34535,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB121)) | v165(constB121))),
% 55.04/35.22 inference(quant_inst,[status(thm)],[])).
% 55.04/35.22 tff(34536,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB121) | (~v166(constB121))),
% 55.04/35.22 inference(modus_ponens,[status(thm)],[34535, 34534])).
% 55.04/35.22 tff(34537,plain,
% 55.04/35.22 (v165(constB121)),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34536, 24989, 34530])).
% 55.04/35.22 tff(34538,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB121)) | (~v88(constB121, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB121)) | (~v88(constB121, 1)))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34539,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB121)) | (~v88(constB121, 1)))),
% 55.04/35.22 inference(quant_inst,[status(thm)],[])).
% 55.04/35.22 tff(34540,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB121)) | (~v88(constB121, 1))),
% 55.04/35.22 inference(modus_ponens,[status(thm)],[34539, 34538])).
% 55.04/35.22 tff(34541,plain,
% 55.04/35.22 (~v139(constB121)),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34540, 25003, 34512])).
% 55.04/35.22 tff(34542,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB121)) | (~v88(constB121, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB121)) | (~v88(constB121, 1)))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34543,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB121)) | (~v88(constB121, 1)))),
% 55.04/35.22 inference(quant_inst,[status(thm)],[])).
% 55.04/35.22 tff(34544,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB121)) | (~v88(constB121, 1))),
% 55.04/35.22 inference(modus_ponens,[status(thm)],[34543, 34542])).
% 55.04/35.22 tff(34545,plain,
% 55.04/35.22 (~v140(constB121)),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34544, 25014, 34512])).
% 55.04/35.22 tff(34546,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB121) | v140(constB121) | (~v170(constB121)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB121) | v140(constB121) | (~v170(constB121)))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34547,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB121) | v140(constB121) | (~v170(constB121)))),
% 55.04/35.22 inference(quant_inst,[status(thm)],[])).
% 55.04/35.22 tff(34548,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB121) | v140(constB121) | (~v170(constB121))),
% 55.04/35.22 inference(modus_ponens,[status(thm)],[34547, 34546])).
% 55.04/35.22 tff(34549,plain,
% 55.04/35.22 (~v170(constB121)),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34548, 13928, 34545, 34541])).
% 55.04/35.22 tff(34550,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB121)) | (~v88(constB121, 2)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB121)) | (~v88(constB121, 2)))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34551,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | ((~v141(constB121)) | (~v88(constB121, 2)))),
% 55.04/35.22 inference(quant_inst,[status(thm)],[])).
% 55.04/35.22 tff(34552,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v88(VarCurr, 2)))) | (~v141(constB121)) | (~v88(constB121, 2))),
% 55.04/35.22 inference(modus_ponens,[status(thm)],[34551, 34550])).
% 55.04/35.22 tff(34553,plain,
% 55.04/35.22 (~v141(constB121)),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34552, 13939, 34508])).
% 55.04/35.22 tff(34554,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB121) | v170(constB121) | (~v169(constB121)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB121) | v170(constB121) | (~v169(constB121)))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34555,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB121) | v170(constB121) | (~v169(constB121)))),
% 55.04/35.22 inference(quant_inst,[status(thm)],[])).
% 55.04/35.22 tff(34556,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB121) | v170(constB121) | (~v169(constB121))),
% 55.04/35.22 inference(modus_ponens,[status(thm)],[34555, 34554])).
% 55.04/35.22 tff(34557,plain,
% 55.04/35.22 (~v169(constB121)),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34556, 13953, 34553, 34549])).
% 55.04/35.22 tff(34558,plain,
% 55.04/35.22 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB121)) | (~v165(constB121)) | v169(constB121))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB121)) | (~v165(constB121)) | v169(constB121))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34559,plain,
% 55.04/35.22 (((~v165(constB121)) | v169(constB121) | (~v162(constB121))) <=> ((~v162(constB121)) | (~v165(constB121)) | v169(constB121))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34560,plain,
% 55.04/35.22 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB121)) | v169(constB121) | (~v162(constB121)))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB121)) | (~v165(constB121)) | v169(constB121)))),
% 55.04/35.22 inference(monotonicity,[status(thm)],[34559])).
% 55.04/35.22 tff(34561,plain,
% 55.04/35.22 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB121)) | v169(constB121) | (~v162(constB121)))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB121)) | (~v165(constB121)) | v169(constB121))),
% 55.04/35.22 inference(transitivity,[status(thm)],[34560, 34558])).
% 55.04/35.22 tff(34562,plain,
% 55.04/35.22 ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB121)) | v169(constB121) | (~v162(constB121)))),
% 55.04/35.22 inference(quant_inst,[status(thm)],[])).
% 55.04/35.22 tff(34563,plain,
% 55.04/35.22 ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB121)) | (~v165(constB121)) | v169(constB121)),
% 55.04/35.22 inference(modus_ponens,[status(thm)],[34562, 34561])).
% 55.04/35.22 tff(34564,plain,
% 55.04/35.22 ((~v162(constB121)) | (~v165(constB121))),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34563, 14054, 34557])).
% 55.04/35.22 tff(34565,plain,
% 55.04/35.22 (~v162(constB121)),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34564, 34537])).
% 55.04/35.22 tff(34566,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB121) | (~v187(constB121)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB121) | (~v187(constB121)))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34567,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB121) | (~v187(constB121)))),
% 55.04/35.22 inference(quant_inst,[status(thm)],[])).
% 55.04/35.22 tff(34568,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB121) | (~v187(constB121))),
% 55.04/35.22 inference(modus_ponens,[status(thm)],[34567, 34566])).
% 55.04/35.22 tff(34569,plain,
% 55.04/35.22 (~v187(constB121)),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34568, 14071, 34565])).
% 55.04/35.22 tff(34570,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB121) | (~v185(constB121)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB121) | (~v185(constB121)))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34571,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB121) | (~v185(constB121)))),
% 55.04/35.22 inference(quant_inst,[status(thm)],[])).
% 55.04/35.22 tff(34572,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB121) | (~v185(constB121))),
% 55.04/35.22 inference(modus_ponens,[status(thm)],[34571, 34570])).
% 55.04/35.22 tff(34573,plain,
% 55.04/35.22 (~v185(constB121)),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34572, 14085, 34569])).
% 55.04/35.22 tff(34574,assumption,(v18(constB122)), introduced(assumption)).
% 55.04/35.22 tff(34575,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB122))),
% 55.04/35.22 inference(quant_inst,[status(thm)],[])).
% 55.04/35.22 tff(34576,plain,
% 55.04/35.22 ($false),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34575, 14194, 34574])).
% 55.04/35.22 tff(34577,plain,(~v18(constB122)), inference(lemma,lemma(discharge,[]))).
% 55.04/35.22 tff(34578,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB122) | (~v1(constB122)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB122) | (~v1(constB122)))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34579,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB122) | (~v1(constB122)))),
% 55.04/35.22 inference(quant_inst,[status(thm)],[])).
% 55.04/35.22 tff(34580,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB122) | (~v1(constB122))),
% 55.04/35.22 inference(modus_ponens,[status(thm)],[34579, 34578])).
% 55.04/35.22 tff(34581,plain,
% 55.04/35.22 (v22(constB122)),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34580, 14207, 420])).
% 55.04/35.22 tff(34582,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB122) | (~v22(constB122)) | (~v19(constB122)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB122) | (~v22(constB122)) | (~v19(constB122)))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34583,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB122) | (~v22(constB122)) | (~v19(constB122)))),
% 55.04/35.22 inference(quant_inst,[status(thm)],[])).
% 55.04/35.22 tff(34584,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB122) | (~v22(constB122)) | (~v19(constB122))),
% 55.04/35.22 inference(modus_ponens,[status(thm)],[34583, 34582])).
% 55.04/35.22 tff(34585,plain,
% 55.04/35.22 (v18(constB122) | (~v19(constB122))),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34584, 14221, 34581])).
% 55.04/35.22 tff(34586,plain,
% 55.04/35.22 (~v19(constB122)),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34585, 34577])).
% 55.04/35.22 tff(34587,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB122) | v19(constB122))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB122) | v19(constB122))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34588,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB122) | v19(constB122))),
% 55.04/35.22 inference(quant_inst,[status(thm)],[])).
% 55.04/35.22 tff(34589,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB122) | v19(constB122)),
% 55.04/35.22 inference(modus_ponens,[status(thm)],[34588, 34587])).
% 55.04/35.22 tff(34590,plain,
% 55.04/35.22 (v13(constB122)),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34589, 14233, 34586])).
% 55.04/35.22 tff(34591,plain,
% 55.04/35.22 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB121) | (~v13(constB122)) | (~nextState(constB121, constB122)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB121) | (~v13(constB122)) | (~nextState(constB121, constB122)))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34592,plain,
% 55.04/35.22 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB121) | (~v13(constB122)) | (~nextState(constB121, constB122)))),
% 55.04/35.22 inference(quant_inst,[status(thm)],[])).
% 55.04/35.22 tff(34593,plain,
% 55.04/35.22 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB121) | (~v13(constB122)) | (~nextState(constB121, constB122))),
% 55.04/35.22 inference(modus_ponens,[status(thm)],[34592, 34591])).
% 55.04/35.22 tff(34594,plain,
% 55.04/35.22 (v9(constB121) | (~v13(constB122))),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34593, 14247, 20910])).
% 55.04/35.22 tff(34595,plain,
% 55.04/35.22 (v9(constB121)),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34594, 34590])).
% 55.04/35.22 tff(34596,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB121) | (~v9(constB121)) | v184(constB121))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB121) | (~v9(constB121)) | v184(constB121))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34597,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | (v1(constB121) | (~v9(constB121)) | v184(constB121))),
% 55.04/35.22 inference(quant_inst,[status(thm)],[])).
% 55.04/35.22 tff(34598,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v184(VarCurr))) | v1(constB121) | (~v9(constB121)) | v184(constB121)),
% 55.04/35.22 inference(modus_ponens,[status(thm)],[34597, 34596])).
% 55.04/35.22 tff(34599,plain,
% 55.04/35.22 ((~v9(constB121)) | v184(constB121)),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34598, 14262, 20783])).
% 55.04/35.22 tff(34600,plain,
% 55.04/35.22 (v184(constB121)),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34599, 34595])).
% 55.04/35.22 tff(34601,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB121) | (~v184(constB121)))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB121) | (~v184(constB121)))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34602,plain,
% 55.04/35.22 (((~v184(constB121)) | v183(constB121)) <=> (v183(constB121) | (~v184(constB121)))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34603,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB121)) | v183(constB121))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | (v183(constB121) | (~v184(constB121))))),
% 55.04/35.22 inference(monotonicity,[status(thm)],[34602])).
% 55.04/35.22 tff(34604,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB121)) | v183(constB121))) <=> ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB121) | (~v184(constB121)))),
% 55.04/35.22 inference(transitivity,[status(thm)],[34603, 34601])).
% 55.04/35.22 tff(34605,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | ((~v184(constB121)) | v183(constB121))),
% 55.04/35.22 inference(quant_inst,[status(thm)],[])).
% 55.04/35.22 tff(34606,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : ((~v184(VarCurr)) | v183(VarCurr))) | v183(constB121) | (~v184(constB121))),
% 55.04/35.22 inference(modus_ponens,[status(thm)],[34605, 34604])).
% 55.04/35.22 tff(34607,plain,
% 55.04/35.22 (v183(constB121)),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34606, 14274, 34600])).
% 55.04/35.22 tff(34608,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB121)) | (~v183(constB121)))) <=> ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB121)) | (~v183(constB121)))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34609,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | ((~v181(constB121)) | (~v183(constB121)))),
% 55.04/35.22 inference(quant_inst,[status(thm)],[])).
% 55.04/35.22 tff(34610,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : ((~v181(VarCurr)) | (~v183(VarCurr)))) | (~v181(constB121)) | (~v183(constB121))),
% 55.04/35.22 inference(modus_ponens,[status(thm)],[34609, 34608])).
% 55.04/35.22 tff(34611,plain,
% 55.04/35.22 (~v181(constB121)),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34610, 14288, 34607])).
% 55.04/35.22 tff(34612,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB121) | v185(constB121) | (~v178(constB121)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB121) | v185(constB121) | (~v178(constB121)))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34613,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB121) | v185(constB121) | (~v178(constB121)))),
% 55.04/35.22 inference(quant_inst,[status(thm)],[])).
% 55.04/35.22 tff(34614,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB121) | v185(constB121) | (~v178(constB121))),
% 55.04/35.22 inference(modus_ponens,[status(thm)],[34613, 34612])).
% 55.04/35.22 tff(34615,plain,
% 55.04/35.22 (v185(constB121) | (~v178(constB121))),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34614, 14302, 34611])).
% 55.04/35.22 tff(34616,plain,
% 55.04/35.22 (~v178(constB121)),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34615, 34573])).
% 55.04/35.22 tff(34617,plain,
% 55.04/35.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB121, constB122)) | v178(constB121) | (~v180(constB122)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB121, constB122)) | v178(constB121) | (~v180(constB122)))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34618,plain,
% 55.04/35.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB121, constB122)) | v178(constB121) | (~v180(constB122)))),
% 55.04/35.22 inference(quant_inst,[status(thm)],[])).
% 55.04/35.22 tff(34619,plain,
% 55.04/35.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB121, constB122)) | v178(constB121) | (~v180(constB122))),
% 55.04/35.22 inference(modus_ponens,[status(thm)],[34618, 34617])).
% 55.04/35.22 tff(34620,plain,
% 55.04/35.22 (v178(constB121) | (~v180(constB122))),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34619, 14317, 20910])).
% 55.04/35.22 tff(34621,plain,
% 55.04/35.22 (~v180(constB122)),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34620, 34616])).
% 55.04/35.22 tff(34622,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB122) | (~v181(constB122)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB122) | (~v181(constB122)))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34623,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB122) | (~v181(constB122)))),
% 55.04/35.22 inference(quant_inst,[status(thm)],[])).
% 55.04/35.22 tff(34624,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB122) | (~v181(constB122))),
% 55.04/35.22 inference(modus_ponens,[status(thm)],[34623, 34622])).
% 55.04/35.22 tff(34625,plain,
% 55.04/35.22 (~v181(constB122)),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34624, 14332, 34621])).
% 55.04/35.22 tff(34626,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB122)) | (~v184(constB122)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB122)) | (~v184(constB122)))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34627,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB122)) | (~v184(constB122)))),
% 55.04/35.22 inference(quant_inst,[status(thm)],[])).
% 55.04/35.22 tff(34628,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB122)) | (~v184(constB122))),
% 55.04/35.22 inference(modus_ponens,[status(thm)],[34627, 34626])).
% 55.04/35.22 tff(34629,plain,
% 55.04/35.22 (~v184(constB122)),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34628, 88, 420])).
% 55.04/35.22 tff(34630,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB122) | (~v187(constB122)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB122) | (~v187(constB122)))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34631,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB122) | (~v187(constB122)))),
% 55.04/35.22 inference(quant_inst,[status(thm)],[])).
% 55.04/35.22 tff(34632,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB122) | (~v187(constB122))),
% 55.04/35.22 inference(modus_ponens,[status(thm)],[34631, 34630])).
% 55.04/35.22 tff(34633,plain,
% 55.04/35.22 (~v187(constB122)),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34632, 14350, 34629])).
% 55.04/35.22 tff(34634,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB122) | (~v185(constB122)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB122) | (~v185(constB122)))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34635,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB122) | (~v185(constB122)))),
% 55.04/35.22 inference(quant_inst,[status(thm)],[])).
% 55.04/35.22 tff(34636,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB122) | (~v185(constB122))),
% 55.04/35.22 inference(modus_ponens,[status(thm)],[34635, 34634])).
% 55.04/35.22 tff(34637,plain,
% 55.04/35.22 (~v185(constB122)),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34636, 14085, 34633])).
% 55.04/35.22 tff(34638,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB122) | v185(constB122) | (~v178(constB122)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB122) | v185(constB122) | (~v178(constB122)))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34639,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB122) | v185(constB122) | (~v178(constB122)))),
% 55.04/35.22 inference(quant_inst,[status(thm)],[])).
% 55.04/35.22 tff(34640,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB122) | v185(constB122) | (~v178(constB122))),
% 55.04/35.22 inference(modus_ponens,[status(thm)],[34639, 34638])).
% 55.04/35.22 tff(34641,plain,
% 55.04/35.22 (v181(constB122) | (~v178(constB122))),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34640, 14302, 34637])).
% 55.04/35.22 tff(34642,plain,
% 55.04/35.22 (~v178(constB122)),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34641, 34625])).
% 55.04/35.22 tff(34643,plain,
% 55.04/35.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB122, constB123)) | v178(constB122) | (~v180(constB123)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB122, constB123)) | v178(constB122) | (~v180(constB123)))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34644,plain,
% 55.04/35.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB122, constB123)) | v178(constB122) | (~v180(constB123)))),
% 55.04/35.22 inference(quant_inst,[status(thm)],[])).
% 55.04/35.22 tff(34645,plain,
% 55.04/35.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB122, constB123)) | v178(constB122) | (~v180(constB123))),
% 55.04/35.22 inference(modus_ponens,[status(thm)],[34644, 34643])).
% 55.04/35.22 tff(34646,plain,
% 55.04/35.22 (v178(constB122) | (~v180(constB123))),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34645, 14317, 20993])).
% 55.04/35.22 tff(34647,plain,
% 55.04/35.22 (~v180(constB123)),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34646, 34642])).
% 55.04/35.22 tff(34648,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB123) | (~v181(constB123)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB123) | (~v181(constB123)))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34649,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB123) | (~v181(constB123)))),
% 55.04/35.22 inference(quant_inst,[status(thm)],[])).
% 55.04/35.22 tff(34650,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB123) | (~v181(constB123))),
% 55.04/35.22 inference(modus_ponens,[status(thm)],[34649, 34648])).
% 55.04/35.22 tff(34651,plain,
% 55.04/35.22 (~v181(constB123)),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34650, 14332, 34647])).
% 55.04/35.22 tff(34652,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB123) | v185(constB123) | (~v178(constB123)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB123) | v185(constB123) | (~v178(constB123)))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34653,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB123) | v185(constB123) | (~v178(constB123)))),
% 55.04/35.22 inference(quant_inst,[status(thm)],[])).
% 55.04/35.22 tff(34654,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB123) | v185(constB123) | (~v178(constB123))),
% 55.04/35.22 inference(modus_ponens,[status(thm)],[34653, 34652])).
% 55.04/35.22 tff(34655,plain,
% 55.04/35.22 (v185(constB123) | (~v178(constB123))),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34654, 14302, 34651])).
% 55.04/35.22 tff(34656,plain,
% 55.04/35.22 (~v178(constB123)),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34655, 34500])).
% 55.04/35.22 tff(34657,plain,
% 55.04/35.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB123, constB124)) | v178(constB123) | (~v180(constB124)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB123, constB124)) | v178(constB123) | (~v180(constB124)))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34658,plain,
% 55.04/35.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB123, constB124)) | v178(constB123) | (~v180(constB124)))),
% 55.04/35.22 inference(quant_inst,[status(thm)],[])).
% 55.04/35.22 tff(34659,plain,
% 55.04/35.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB123, constB124)) | v178(constB123) | (~v180(constB124))),
% 55.04/35.22 inference(modus_ponens,[status(thm)],[34658, 34657])).
% 55.04/35.22 tff(34660,plain,
% 55.04/35.22 (v178(constB123) | (~v180(constB124))),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34659, 14317, 21102])).
% 55.04/35.22 tff(34661,plain,
% 55.04/35.22 (~v180(constB124)),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34660, 34656])).
% 55.04/35.22 tff(34662,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB124) | (~v181(constB124)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB124) | (~v181(constB124)))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34663,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB124) | (~v181(constB124)))),
% 55.04/35.22 inference(quant_inst,[status(thm)],[])).
% 55.04/35.22 tff(34664,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB124) | (~v181(constB124))),
% 55.04/35.22 inference(modus_ponens,[status(thm)],[34663, 34662])).
% 55.04/35.22 tff(34665,plain,
% 55.04/35.22 (~v181(constB124)),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34664, 14332, 34661])).
% 55.04/35.22 tff(34666,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB124)) | (~v184(constB124)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB124)) | (~v184(constB124)))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34667,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB124)) | (~v184(constB124)))),
% 55.04/35.22 inference(quant_inst,[status(thm)],[])).
% 55.04/35.22 tff(34668,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB124)) | (~v184(constB124))),
% 55.04/35.22 inference(modus_ponens,[status(thm)],[34667, 34666])).
% 55.04/35.22 tff(34669,plain,
% 55.04/35.22 (~v184(constB124)),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34668, 88, 574])).
% 55.04/35.22 tff(34670,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB124) | (~v187(constB124)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB124) | (~v187(constB124)))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34671,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB124) | (~v187(constB124)))),
% 55.04/35.22 inference(quant_inst,[status(thm)],[])).
% 55.04/35.22 tff(34672,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB124) | (~v187(constB124))),
% 55.04/35.22 inference(modus_ponens,[status(thm)],[34671, 34670])).
% 55.04/35.22 tff(34673,plain,
% 55.04/35.22 (~v187(constB124)),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34672, 14350, 34669])).
% 55.04/35.22 tff(34674,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB124) | (~v185(constB124)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB124) | (~v185(constB124)))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34675,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB124) | (~v185(constB124)))),
% 55.04/35.22 inference(quant_inst,[status(thm)],[])).
% 55.04/35.22 tff(34676,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB124) | (~v185(constB124))),
% 55.04/35.22 inference(modus_ponens,[status(thm)],[34675, 34674])).
% 55.04/35.22 tff(34677,plain,
% 55.04/35.22 (~v185(constB124)),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34676, 14085, 34673])).
% 55.04/35.22 tff(34678,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB124) | v185(constB124) | (~v178(constB124)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB124) | v185(constB124) | (~v178(constB124)))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34679,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB124) | v185(constB124) | (~v178(constB124)))),
% 55.04/35.22 inference(quant_inst,[status(thm)],[])).
% 55.04/35.22 tff(34680,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB124) | v185(constB124) | (~v178(constB124))),
% 55.04/35.22 inference(modus_ponens,[status(thm)],[34679, 34678])).
% 55.04/35.22 tff(34681,plain,
% 55.04/35.22 (v181(constB124) | (~v178(constB124))),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34680, 14302, 34677])).
% 55.04/35.22 tff(34682,plain,
% 55.04/35.22 (~v178(constB124)),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34681, 34665])).
% 55.04/35.22 tff(34683,plain,
% 55.04/35.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB124, constB125)) | v178(constB124) | (~v180(constB125)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB124, constB125)) | v178(constB124) | (~v180(constB125)))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34684,plain,
% 55.04/35.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB124, constB125)) | v178(constB124) | (~v180(constB125)))),
% 55.04/35.22 inference(quant_inst,[status(thm)],[])).
% 55.04/35.22 tff(34685,plain,
% 55.04/35.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB124, constB125)) | v178(constB124) | (~v180(constB125))),
% 55.04/35.22 inference(modus_ponens,[status(thm)],[34684, 34683])).
% 55.04/35.22 tff(34686,plain,
% 55.04/35.22 (v178(constB124) | (~v180(constB125))),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34685, 14317, 21254])).
% 55.04/35.22 tff(34687,plain,
% 55.04/35.22 (~v180(constB125)),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34686, 34682])).
% 55.04/35.22 tff(34688,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB125) | (~v181(constB125)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB125) | (~v181(constB125)))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34689,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB125) | (~v181(constB125)))),
% 55.04/35.22 inference(quant_inst,[status(thm)],[])).
% 55.04/35.22 tff(34690,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB125) | (~v181(constB125))),
% 55.04/35.22 inference(modus_ponens,[status(thm)],[34689, 34688])).
% 55.04/35.22 tff(34691,plain,
% 55.04/35.22 (~v181(constB125)),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34690, 14332, 34687])).
% 55.04/35.22 tff(34692,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB125, 2)) | v90(constB125, 2))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB125, 2)) | v90(constB125, 2))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34693,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | ((~v88(constB125, 2)) | v90(constB125, 2))),
% 55.04/35.22 inference(quant_inst,[status(thm)],[])).
% 55.04/35.22 tff(34694,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : ((~v88(VarCurr, 2)) | v90(VarCurr, 2))) | (~v88(constB125, 2)) | v90(constB125, 2)),
% 55.04/35.22 inference(modus_ponens,[status(thm)],[34693, 34692])).
% 55.04/35.22 tff(34695,plain,
% 55.04/35.22 (~v88(constB125, 2)),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34694, 24881, 21305])).
% 55.04/35.22 tff(34696,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB125, 0)) | v90(constB125, 0))) <=> ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB125, 0)) | v90(constB125, 0))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34697,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | ((~v88(constB125, 0)) | v90(constB125, 0))),
% 55.04/35.22 inference(quant_inst,[status(thm)],[])).
% 55.04/35.22 tff(34698,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : ((~v88(VarCurr, 0)) | v90(VarCurr, 0))) | (~v88(constB125, 0)) | v90(constB125, 0)),
% 55.04/35.22 inference(modus_ponens,[status(thm)],[34697, 34696])).
% 55.04/35.22 tff(34699,plain,
% 55.04/35.22 (~v88(constB125, 0)),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34698, 14132, 21275])).
% 55.04/35.22 tff(34700,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB125, 1)) | v88(constB125, 1))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB125, 1)) | v88(constB125, 1))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34701,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | ((~v90(constB125, 1)) | v88(constB125, 1))),
% 55.04/35.22 inference(quant_inst,[status(thm)],[])).
% 55.04/35.22 tff(34702,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : ((~v90(VarCurr, 1)) | v88(VarCurr, 1))) | (~v90(constB125, 1)) | v88(constB125, 1)),
% 55.04/35.22 inference(modus_ponens,[status(thm)],[34701, 34700])).
% 55.04/35.22 tff(34703,plain,
% 55.04/35.22 (v88(constB125, 1)),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34702, 24936, 21665])).
% 55.04/35.22 tff(34704,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB125, 0) | v88(constB125, 2) | (~v88(constB125, 1)) | v143(constB125))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB125, 0) | v88(constB125, 2) | (~v88(constB125, 1)) | v143(constB125))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34705,plain,
% 55.04/35.22 ((v88(constB125, 2) | (~v88(constB125, 1)) | v88(constB125, 0) | v143(constB125)) <=> (v88(constB125, 0) | v88(constB125, 2) | (~v88(constB125, 1)) | v143(constB125))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34706,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB125, 2) | (~v88(constB125, 1)) | v88(constB125, 0) | v143(constB125))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB125, 0) | v88(constB125, 2) | (~v88(constB125, 1)) | v143(constB125)))),
% 55.04/35.22 inference(monotonicity,[status(thm)],[34705])).
% 55.04/35.22 tff(34707,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB125, 2) | (~v88(constB125, 1)) | v88(constB125, 0) | v143(constB125))) <=> ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB125, 0) | v88(constB125, 2) | (~v88(constB125, 1)) | v143(constB125))),
% 55.04/35.22 inference(transitivity,[status(thm)],[34706, 34704])).
% 55.04/35.22 tff(34708,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | (v88(constB125, 2) | (~v88(constB125, 1)) | v88(constB125, 0) | v143(constB125))),
% 55.04/35.22 inference(quant_inst,[status(thm)],[])).
% 55.04/35.22 tff(34709,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : (v88(VarCurr, 2) | (~v88(VarCurr, 1)) | v88(VarCurr, 0) | v143(VarCurr))) | v88(constB125, 0) | v88(constB125, 2) | (~v88(constB125, 1)) | v143(constB125)),
% 55.04/35.22 inference(modus_ponens,[status(thm)],[34708, 34707])).
% 55.04/35.22 tff(34710,plain,
% 55.04/35.22 (v143(constB125)),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34709, 24950, 34703, 34699, 34695])).
% 55.04/35.22 tff(34711,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB125)) | v142(constB125))) <=> ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB125)) | v142(constB125))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34712,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | ((~v143(constB125)) | v142(constB125))),
% 55.04/35.22 inference(quant_inst,[status(thm)],[])).
% 55.04/35.22 tff(34713,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : ((~v143(VarCurr)) | v142(VarCurr))) | (~v143(constB125)) | v142(constB125)),
% 55.04/35.22 inference(modus_ponens,[status(thm)],[34712, 34711])).
% 55.04/35.22 tff(34714,plain,
% 55.04/35.22 (v142(constB125)),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34713, 24964, 34710])).
% 55.04/35.22 tff(34715,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : ((~v142(VarCurr)) | v166(VarCurr))) | ((~v142(constB125)) | v166(constB125))) <=> ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v166(VarCurr))) | (~v142(constB125)) | v166(constB125))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34716,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v166(VarCurr))) | ((~v142(constB125)) | v166(constB125))),
% 55.04/35.22 inference(quant_inst,[status(thm)],[])).
% 55.04/35.22 tff(34717,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : ((~v142(VarCurr)) | v166(VarCurr))) | (~v142(constB125)) | v166(constB125)),
% 55.04/35.22 inference(modus_ponens,[status(thm)],[34716, 34715])).
% 55.04/35.22 tff(34718,plain,
% 55.04/35.22 (v166(constB125)),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34717, 24978, 34714])).
% 55.04/35.22 tff(34719,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (v165(constB125) | (~v166(constB125)))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB125) | (~v166(constB125)))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34720,plain,
% 55.04/35.22 (((~v166(constB125)) | v165(constB125)) <=> (v165(constB125) | (~v166(constB125)))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34721,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB125)) | v165(constB125))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | (v165(constB125) | (~v166(constB125))))),
% 55.04/35.22 inference(monotonicity,[status(thm)],[34720])).
% 55.04/35.22 tff(34722,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB125)) | v165(constB125))) <=> ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB125) | (~v166(constB125)))),
% 55.04/35.22 inference(transitivity,[status(thm)],[34721, 34719])).
% 55.04/35.22 tff(34723,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | ((~v166(constB125)) | v165(constB125))),
% 55.04/35.22 inference(quant_inst,[status(thm)],[])).
% 55.04/35.22 tff(34724,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : ((~v166(VarCurr)) | v165(VarCurr))) | v165(constB125) | (~v166(constB125))),
% 55.04/35.22 inference(modus_ponens,[status(thm)],[34723, 34722])).
% 55.04/35.22 tff(34725,plain,
% 55.04/35.22 (v165(constB125)),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34724, 24989, 34718])).
% 55.04/35.22 tff(34726,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB125)) | (~v88(constB125, 1)))) <=> ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB125)) | (~v88(constB125, 1)))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34727,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v139(constB125)) | (~v88(constB125, 1)))),
% 55.04/35.22 inference(quant_inst,[status(thm)],[])).
% 55.04/35.22 tff(34728,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : ((~v139(VarCurr)) | (~v88(VarCurr, 1)))) | (~v139(constB125)) | (~v88(constB125, 1))),
% 55.04/35.22 inference(modus_ponens,[status(thm)],[34727, 34726])).
% 55.04/35.22 tff(34729,plain,
% 55.04/35.22 (~v139(constB125)),
% 55.04/35.22 inference(unit_resolution,[status(thm)],[34728, 25003, 34703])).
% 55.04/35.22 tff(34730,plain,
% 55.04/35.22 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB125)) | (~v88(constB125, 1)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB125)) | (~v88(constB125, 1)))),
% 55.04/35.22 inference(rewrite,[status(thm)],[])).
% 55.04/35.22 tff(34731,plain,
% 55.04/35.22 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | ((~v140(constB125)) | (~v88(constB125, 1)))),
% 55.04/35.23 inference(quant_inst,[status(thm)],[])).
% 55.04/35.23 tff(34732,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v88(VarCurr, 1)))) | (~v140(constB125)) | (~v88(constB125, 1))),
% 55.04/35.23 inference(modus_ponens,[status(thm)],[34731, 34730])).
% 55.04/35.23 tff(34733,plain,
% 55.04/35.23 (~v140(constB125)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34732, 25014, 34703])).
% 55.04/35.23 tff(34734,plain,
% 55.04/35.23 (((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB125) | v140(constB125) | (~v170(constB125)))) <=> ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB125) | v140(constB125) | (~v170(constB125)))),
% 55.04/35.23 inference(rewrite,[status(thm)],[])).
% 55.04/35.23 tff(34735,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | (v139(constB125) | v140(constB125) | (~v170(constB125)))),
% 55.04/35.23 inference(quant_inst,[status(thm)],[])).
% 55.04/35.23 tff(34736,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : (v139(VarCurr) | v140(VarCurr) | (~v170(VarCurr)))) | v139(constB125) | v140(constB125) | (~v170(constB125))),
% 55.04/35.23 inference(modus_ponens,[status(thm)],[34735, 34734])).
% 55.04/35.23 tff(34737,plain,
% 55.04/35.23 (~v170(constB125)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34736, 13928, 34733, 34729])).
% 55.04/35.23 tff(34738,plain,
% 55.04/35.23 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | ((~v141(constB125)) | v88(constB125, 0))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | (~v141(constB125)) | v88(constB125, 0))),
% 55.04/35.23 inference(rewrite,[status(thm)],[])).
% 55.04/35.23 tff(34739,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | ((~v141(constB125)) | v88(constB125, 0))),
% 55.04/35.23 inference(quant_inst,[status(thm)],[])).
% 55.04/35.23 tff(34740,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v88(VarCurr, 0))) | (~v141(constB125)) | v88(constB125, 0)),
% 55.04/35.23 inference(modus_ponens,[status(thm)],[34739, 34738])).
% 55.04/35.23 tff(34741,plain,
% 55.04/35.23 (~v141(constB125)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34740, 25029, 34699])).
% 55.04/35.23 tff(34742,plain,
% 55.04/35.23 (((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB125) | v170(constB125) | (~v169(constB125)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB125) | v170(constB125) | (~v169(constB125)))),
% 55.04/35.23 inference(rewrite,[status(thm)],[])).
% 55.04/35.23 tff(34743,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | (v141(constB125) | v170(constB125) | (~v169(constB125)))),
% 55.04/35.23 inference(quant_inst,[status(thm)],[])).
% 55.04/35.23 tff(34744,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : (v141(VarCurr) | v170(VarCurr) | (~v169(VarCurr)))) | v141(constB125) | v170(constB125) | (~v169(constB125))),
% 55.04/35.23 inference(modus_ponens,[status(thm)],[34743, 34742])).
% 55.04/35.23 tff(34745,plain,
% 55.04/35.23 (~v169(constB125)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34744, 13953, 34741, 34737])).
% 55.04/35.23 tff(34746,plain,
% 55.04/35.23 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB125)) | (~v165(constB125)) | v169(constB125))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB125)) | (~v165(constB125)) | v169(constB125))),
% 55.04/35.23 inference(rewrite,[status(thm)],[])).
% 55.04/35.23 tff(34747,plain,
% 55.04/35.23 (((~v165(constB125)) | v169(constB125) | (~v162(constB125))) <=> ((~v162(constB125)) | (~v165(constB125)) | v169(constB125))),
% 55.04/35.23 inference(rewrite,[status(thm)],[])).
% 55.04/35.23 tff(34748,plain,
% 55.04/35.23 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB125)) | v169(constB125) | (~v162(constB125)))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v162(constB125)) | (~v165(constB125)) | v169(constB125)))),
% 55.04/35.23 inference(monotonicity,[status(thm)],[34747])).
% 55.04/35.23 tff(34749,plain,
% 55.04/35.23 (((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB125)) | v169(constB125) | (~v162(constB125)))) <=> ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB125)) | (~v165(constB125)) | v169(constB125))),
% 55.04/35.23 inference(transitivity,[status(thm)],[34748, 34746])).
% 55.04/35.23 tff(34750,plain,
% 55.04/35.23 ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | ((~v165(constB125)) | v169(constB125) | (~v162(constB125)))),
% 55.04/35.23 inference(quant_inst,[status(thm)],[])).
% 55.04/35.23 tff(34751,plain,
% 55.04/35.23 ((~![VarNext: state_type] : ((~v165(VarNext)) | v169(VarNext) | (~v162(VarNext)))) | (~v162(constB125)) | (~v165(constB125)) | v169(constB125)),
% 55.04/35.23 inference(modus_ponens,[status(thm)],[34750, 34749])).
% 55.04/35.23 tff(34752,plain,
% 55.04/35.23 ((~v162(constB125)) | (~v165(constB125))),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34751, 14054, 34745])).
% 55.04/35.23 tff(34753,plain,
% 55.04/35.23 (~v162(constB125)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34752, 34725])).
% 55.04/35.23 tff(34754,plain,
% 55.04/35.23 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB125) | (~v187(constB125)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB125) | (~v187(constB125)))),
% 55.04/35.23 inference(rewrite,[status(thm)],[])).
% 55.04/35.23 tff(34755,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | (v162(constB125) | (~v187(constB125)))),
% 55.04/35.23 inference(quant_inst,[status(thm)],[])).
% 55.04/35.23 tff(34756,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v187(VarCurr)))) | v162(constB125) | (~v187(constB125))),
% 55.04/35.23 inference(modus_ponens,[status(thm)],[34755, 34754])).
% 55.04/35.23 tff(34757,plain,
% 55.04/35.23 (~v187(constB125)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34756, 14071, 34753])).
% 55.04/35.23 tff(34758,plain,
% 55.04/35.23 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB125) | (~v185(constB125)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB125) | (~v185(constB125)))),
% 55.04/35.23 inference(rewrite,[status(thm)],[])).
% 55.04/35.23 tff(34759,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB125) | (~v185(constB125)))),
% 55.04/35.23 inference(quant_inst,[status(thm)],[])).
% 55.04/35.23 tff(34760,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB125) | (~v185(constB125))),
% 55.04/35.23 inference(modus_ponens,[status(thm)],[34759, 34758])).
% 55.04/35.23 tff(34761,plain,
% 55.04/35.23 (~v185(constB125)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34760, 14085, 34757])).
% 55.04/35.23 tff(34762,plain,
% 55.04/35.23 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB125) | v185(constB125) | (~v178(constB125)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB125) | v185(constB125) | (~v178(constB125)))),
% 55.04/35.23 inference(rewrite,[status(thm)],[])).
% 55.04/35.23 tff(34763,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB125) | v185(constB125) | (~v178(constB125)))),
% 55.04/35.23 inference(quant_inst,[status(thm)],[])).
% 55.04/35.23 tff(34764,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB125) | v185(constB125) | (~v178(constB125))),
% 55.04/35.23 inference(modus_ponens,[status(thm)],[34763, 34762])).
% 55.04/35.23 tff(34765,plain,
% 55.04/35.23 (~v178(constB125)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34764, 14302, 34761, 34691])).
% 55.04/35.23 tff(34766,plain,
% 55.04/35.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB125, constB126)) | v178(constB125) | (~v180(constB126)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB125, constB126)) | v178(constB125) | (~v180(constB126)))),
% 55.04/35.23 inference(rewrite,[status(thm)],[])).
% 55.04/35.23 tff(34767,plain,
% 55.04/35.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB125, constB126)) | v178(constB125) | (~v180(constB126)))),
% 55.04/35.23 inference(quant_inst,[status(thm)],[])).
% 55.04/35.23 tff(34768,plain,
% 55.04/35.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB125, constB126)) | v178(constB125) | (~v180(constB126))),
% 55.04/35.23 inference(modus_ponens,[status(thm)],[34767, 34766])).
% 55.04/35.23 tff(34769,plain,
% 55.04/35.23 (v178(constB125) | (~v180(constB126))),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34768, 14317, 21541])).
% 55.04/35.23 tff(34770,plain,
% 55.04/35.23 (~v180(constB126)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34769, 34765])).
% 55.04/35.23 tff(34771,plain,
% 55.04/35.23 (((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB126) | (~v181(constB126)))) <=> ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB126) | (~v181(constB126)))),
% 55.04/35.23 inference(rewrite,[status(thm)],[])).
% 55.04/35.23 tff(34772,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | (v180(constB126) | (~v181(constB126)))),
% 55.04/35.23 inference(quant_inst,[status(thm)],[])).
% 55.04/35.23 tff(34773,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : (v180(VarCurr) | (~v181(VarCurr)))) | v180(constB126) | (~v181(constB126))),
% 55.04/35.23 inference(modus_ponens,[status(thm)],[34772, 34771])).
% 55.04/35.23 tff(34774,plain,
% 55.04/35.23 (~v181(constB126)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34773, 14332, 34770])).
% 55.04/35.23 tff(34775,plain,
% 55.04/35.23 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB126)) | (~v184(constB126)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB126)) | (~v184(constB126)))),
% 55.04/35.23 inference(rewrite,[status(thm)],[])).
% 55.04/35.23 tff(34776,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | ((~v1(constB126)) | (~v184(constB126)))),
% 55.04/35.23 inference(quant_inst,[status(thm)],[])).
% 55.04/35.23 tff(34777,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v184(VarCurr)))) | (~v1(constB126)) | (~v184(constB126))),
% 55.04/35.23 inference(modus_ponens,[status(thm)],[34776, 34775])).
% 55.04/35.23 tff(34778,plain,
% 55.04/35.23 (~v184(constB126)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34777, 88, 101])).
% 55.04/35.23 tff(34779,plain,
% 55.04/35.23 (((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB126) | (~v187(constB126)))) <=> ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB126) | (~v187(constB126)))),
% 55.04/35.23 inference(rewrite,[status(thm)],[])).
% 55.04/35.23 tff(34780,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | (v184(constB126) | (~v187(constB126)))),
% 55.04/35.23 inference(quant_inst,[status(thm)],[])).
% 55.04/35.23 tff(34781,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : (v184(VarCurr) | (~v187(VarCurr)))) | v184(constB126) | (~v187(constB126))),
% 55.04/35.23 inference(modus_ponens,[status(thm)],[34780, 34779])).
% 55.04/35.23 tff(34782,plain,
% 55.04/35.23 (~v187(constB126)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34781, 14350, 34778])).
% 55.04/35.23 tff(34783,plain,
% 55.04/35.23 (((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB126) | (~v185(constB126)))) <=> ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB126) | (~v185(constB126)))),
% 55.04/35.23 inference(rewrite,[status(thm)],[])).
% 55.04/35.23 tff(34784,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | (v187(constB126) | (~v185(constB126)))),
% 55.04/35.23 inference(quant_inst,[status(thm)],[])).
% 55.04/35.23 tff(34785,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : (v187(VarCurr) | (~v185(VarCurr)))) | v187(constB126) | (~v185(constB126))),
% 55.04/35.23 inference(modus_ponens,[status(thm)],[34784, 34783])).
% 55.04/35.23 tff(34786,plain,
% 55.04/35.23 (~v185(constB126)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34785, 14085, 34782])).
% 55.04/35.23 tff(34787,plain,
% 55.04/35.23 (((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB126) | v185(constB126) | (~v178(constB126)))) <=> ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB126) | v185(constB126) | (~v178(constB126)))),
% 55.04/35.23 inference(rewrite,[status(thm)],[])).
% 55.04/35.23 tff(34788,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | (v181(constB126) | v185(constB126) | (~v178(constB126)))),
% 55.04/35.23 inference(quant_inst,[status(thm)],[])).
% 55.04/35.23 tff(34789,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : (v181(VarCurr) | v185(VarCurr) | (~v178(VarCurr)))) | v181(constB126) | v185(constB126) | (~v178(constB126))),
% 55.04/35.23 inference(modus_ponens,[status(thm)],[34788, 34787])).
% 55.04/35.23 tff(34790,plain,
% 55.04/35.23 (v181(constB126) | (~v178(constB126))),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34789, 14302, 34786])).
% 55.04/35.23 tff(34791,plain,
% 55.04/35.23 (~v178(constB126)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34790, 34774])).
% 55.04/35.23 tff(34792,plain,
% 55.04/35.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB126, constB127)) | v178(constB126) | (~v180(constB127)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB126, constB127)) | v178(constB126) | (~v180(constB127)))),
% 55.04/35.23 inference(rewrite,[status(thm)],[])).
% 55.04/35.23 tff(34793,plain,
% 55.04/35.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | ((~nextState(constB126, constB127)) | v178(constB126) | (~v180(constB127)))),
% 55.04/35.23 inference(quant_inst,[status(thm)],[])).
% 55.04/35.23 tff(34794,plain,
% 55.04/35.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v178(VarCurr) | (~v180(VarNext)))) | (~nextState(constB126, constB127)) | v178(constB126) | (~v180(constB127))),
% 55.04/35.23 inference(modus_ponens,[status(thm)],[34793, 34792])).
% 55.04/35.23 tff(34795,plain,
% 55.04/35.23 (v178(constB126) | (~v180(constB127))),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34794, 14317, 21604])).
% 55.04/35.23 tff(34796,plain,
% 55.04/35.23 (~v180(constB127)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34795, 34791])).
% 55.04/35.23 tff(34797,plain,
% 55.04/35.23 ($false),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34796, 34439])).
% 55.04/35.23 tff(34798,plain,((~(constB127 = sK_VarCurr)) | (~v180(sK_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 55.04/35.23 tff(34799,plain,
% 55.04/35.23 (~(constB127 = sK_VarCurr)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34798, 815])).
% 55.04/35.23 tff(34800,assumption,(constB193 = sK_VarCurr), introduced(assumption)).
% 55.04/35.23 tff(34801,plain,
% 55.04/35.23 (v180(constB193) <=> v180(sK_VarCurr)),
% 55.04/35.23 inference(monotonicity,[status(thm)],[34800])).
% 55.04/35.23 tff(34802,plain,
% 55.04/35.23 (v180(sK_VarCurr) <=> v180(constB193)),
% 55.04/35.23 inference(symmetry,[status(thm)],[34801])).
% 55.04/35.23 tff(34803,plain,
% 55.04/35.23 (v180(constB193)),
% 55.04/35.23 inference(modus_ponens,[status(thm)],[819, 34802])).
% 55.04/35.23 tff(34804,assumption,(v124(constB167)), introduced(assumption)).
% 55.04/35.23 tff(34805,plain,
% 55.04/35.23 (v114(constB167)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[31498, 2674, 34804])).
% 55.04/35.23 tff(34806,plain,
% 55.04/35.23 (v113(constB167)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[31502, 1049, 34805])).
% 55.04/35.23 tff(34807,plain,
% 55.04/35.23 (v108(constB167)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[31528, 34806])).
% 55.04/35.23 tff(34808,plain,
% 55.04/35.23 (v110(constB168)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[31539, 34807])).
% 55.04/35.23 tff(34809,plain,
% 55.04/35.23 (v100(constB168)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[31565, 34808])).
% 55.04/35.23 tff(34810,plain,
% 55.04/35.23 (v130(constB167, 2)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[31569, 2741, 34804])).
% 55.04/35.23 tff(34811,plain,
% 55.04/35.23 (v127(constB167, 2)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[31578, 34810])).
% 55.04/35.23 tff(34812,plain,
% 55.04/35.23 (v129(constB168, 2)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[31583, 34811])).
% 55.04/35.23 tff(34813,plain,
% 55.04/35.23 (v90(constB168, 2) | (~v100(constB168))),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[31590, 2324, 34812])).
% 55.04/35.23 tff(34814,plain,
% 55.04/35.23 (v90(constB168, 2)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34813, 34809])).
% 55.04/35.23 tff(34815,plain,
% 55.04/35.23 (v90(constB169, 2)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[31618, 34814])).
% 55.04/35.23 tff(34816,plain,
% 55.04/35.23 (v130(constB167, 1)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[31622, 2808, 34804])).
% 55.04/35.23 tff(34817,plain,
% 55.04/35.23 (v127(constB167, 1)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[31627, 34816])).
% 55.04/35.23 tff(34818,plain,
% 55.04/35.23 (v129(constB168, 1)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[31632, 34817])).
% 55.04/35.23 tff(34819,plain,
% 55.04/35.23 (v90(constB168, 1) | (~v100(constB168))),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[31639, 1623, 34818])).
% 55.04/35.23 tff(34820,plain,
% 55.04/35.23 (v90(constB168, 1)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34819, 34809])).
% 55.04/35.23 tff(34821,plain,
% 55.04/35.23 (v90(constB169, 1)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[31649, 34820])).
% 55.04/35.23 tff(34822,plain,
% 55.04/35.23 (~v130(constB167, 0)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[31653, 3274, 34804])).
% 55.04/35.23 tff(34823,plain,
% 55.04/35.23 (~v127(constB167, 0)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[31661, 34822])).
% 55.04/35.23 tff(34824,plain,
% 55.04/35.23 (~v129(constB168, 0)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[31666, 34823])).
% 55.04/35.23 tff(34825,plain,
% 55.04/35.23 ((~v90(constB168, 0)) | (~v100(constB168))),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[31673, 1704, 34824])).
% 55.04/35.23 tff(34826,plain,
% 55.04/35.23 (~v90(constB168, 0)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34825, 34809])).
% 55.04/35.23 tff(34827,plain,
% 55.04/35.23 (~v90(constB169, 0)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[31683, 34826])).
% 55.04/35.23 tff(34828,plain,
% 55.04/35.23 (v125(constB169)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[31687, 2279, 34827, 34821, 34815])).
% 55.04/35.23 tff(34829,plain,
% 55.04/35.23 (v113(constB169)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[31691, 2262, 34828])).
% 55.04/35.23 tff(34830,plain,
% 55.04/35.23 (v112(constB169)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[31700, 34829])).
% 55.04/35.23 tff(34831,plain,
% 55.04/35.23 (v108(constB169)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[31707, 1075, 34830])).
% 55.04/35.23 tff(34832,plain,
% 55.04/35.23 (v110(constB170)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[31718, 34831])).
% 55.04/35.23 tff(34833,plain,
% 55.04/35.23 (v100(constB170)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[31741, 34832])).
% 55.04/35.23 tff(34834,plain,
% 55.04/35.23 (~v121(constB169)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[31753, 2857, 34815])).
% 55.04/35.23 tff(34835,assumption,(~v120(constB169)), introduced(assumption)).
% 55.04/35.23 tff(34836,assumption,(~v122(constB169)), introduced(assumption)).
% 55.04/35.23 tff(34837,assumption,(~v124(constB169)), introduced(assumption)).
% 55.04/35.23 tff(34838,plain,
% 55.04/35.23 (~v119(constB169)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[31745, 2868, 34821])).
% 55.04/35.23 tff(34839,assumption,(~v123(constB169)), introduced(assumption)).
% 55.04/35.23 tff(34840,plain,
% 55.04/35.23 (v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v124(constB169) | (~v130(constB169, 2))),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[31769, 2904, 34839])).
% 55.04/35.23 tff(34841,plain,
% 55.04/35.23 (~v130(constB169, 2)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34840, 34838, 34837, 34836, 34835, 34834])).
% 55.04/35.23 tff(34842,plain,
% 55.04/35.23 (~v127(constB169, 2)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[31777, 34841])).
% 55.04/35.23 tff(34843,plain,
% 55.04/35.23 (~v129(constB170, 2)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[31782, 34842])).
% 55.04/35.23 tff(34844,plain,
% 55.04/35.23 ((~v90(constB170, 2)) | (~v100(constB170))),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[31786, 1223, 34843])).
% 55.04/35.23 tff(34845,plain,
% 55.04/35.23 (~v90(constB170, 2)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34844, 34833])).
% 55.04/35.23 tff(34846,plain,
% 55.04/35.23 (~v90(constB171, 2)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[31814, 34845])).
% 55.04/35.23 tff(34847,plain,
% 55.04/35.23 (v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v124(constB169) | v130(constB169, 0)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[31860, 3413, 34839])).
% 55.04/35.23 tff(34848,plain,
% 55.04/35.23 (v130(constB169, 0)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34847, 34838, 34837, 34836, 34835, 34834])).
% 55.04/35.23 tff(34849,plain,
% 55.04/35.23 (v127(constB169, 0)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[31865, 34848])).
% 55.04/35.23 tff(34850,plain,
% 55.04/35.23 (v129(constB170, 0)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[31870, 34849])).
% 55.04/35.23 tff(34851,plain,
% 55.04/35.23 (v90(constB170, 0) | (~v100(constB170))),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[31877, 1377, 34850])).
% 55.04/35.23 tff(34852,plain,
% 55.04/35.23 (v90(constB170, 0)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34851, 34833])).
% 55.04/35.23 tff(34853,plain,
% 55.04/35.23 (v90(constB171, 0)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[31887, 34852])).
% 55.04/35.23 tff(34854,plain,
% 55.04/35.23 (v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v124(constB169) | (~v130(constB169, 1))),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[31822, 3309, 34839])).
% 55.04/35.23 tff(34855,plain,
% 55.04/35.23 (~v130(constB169, 1)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34854, 34838, 34837, 34836, 34835, 34834])).
% 55.04/35.23 tff(34856,plain,
% 55.04/35.23 (~v127(constB169, 1)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[31830, 34855])).
% 55.04/35.23 tff(34857,plain,
% 55.04/35.23 (~v129(constB170, 1)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[31835, 34856])).
% 55.04/35.23 tff(34858,plain,
% 55.04/35.23 ((~v90(constB170, 1)) | (~v100(constB170))),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[31842, 1309, 34857])).
% 55.04/35.23 tff(34859,plain,
% 55.04/35.23 (~v90(constB170, 1)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34858, 34833])).
% 55.04/35.23 tff(34860,plain,
% 55.04/35.23 (~v90(constB171, 1)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[31852, 34859])).
% 55.04/35.23 tff(34861,assumption,(~v120(constB171)), introduced(assumption)).
% 55.04/35.23 tff(34862,plain,
% 55.04/35.23 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB171, 0)) | v90(constB171, 1) | v90(constB171, 2) | v120(constB171))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB171, 0)) | v90(constB171, 1) | v90(constB171, 2) | v120(constB171))),
% 55.04/35.23 inference(rewrite,[status(thm)],[])).
% 55.04/35.23 tff(34863,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB171, 0)) | v90(constB171, 1) | v90(constB171, 2) | v120(constB171))),
% 55.04/35.23 inference(quant_inst,[status(thm)],[])).
% 55.04/35.23 tff(34864,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB171, 0)) | v90(constB171, 1) | v90(constB171, 2) | v120(constB171)),
% 55.04/35.23 inference(modus_ponens,[status(thm)],[34863, 34862])).
% 55.04/35.23 tff(34865,plain,
% 55.04/35.23 ((~v90(constB171, 0)) | v90(constB171, 1) | v90(constB171, 2)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34864, 1414, 34861])).
% 55.04/35.23 tff(34866,plain,
% 55.04/35.23 ($false),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34865, 34860, 34853, 34846])).
% 55.04/35.23 tff(34867,plain,((~v124(constB167)) | v120(constB171) | v124(constB169) | v122(constB169) | v120(constB169) | v123(constB169)), inference(lemma,lemma(discharge,[]))).
% 55.04/35.23 tff(34868,plain,
% 55.04/35.23 (v120(constB171)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34867, 31766, 31492, 31758, 31750, 31762])).
% 55.04/35.23 tff(34869,plain,
% 55.04/35.23 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB171)) | (~v130(constB171, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB171)) | (~v130(constB171, 0)))),
% 55.04/35.23 inference(rewrite,[status(thm)],[])).
% 55.04/35.23 tff(34870,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB171)) | (~v130(constB171, 0)))),
% 55.04/35.23 inference(quant_inst,[status(thm)],[])).
% 55.04/35.23 tff(34871,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB171)) | (~v130(constB171, 0))),
% 55.04/35.23 inference(modus_ponens,[status(thm)],[34870, 34869])).
% 55.04/35.23 tff(34872,plain,
% 55.04/35.23 (~v130(constB171, 0)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34871, 1657, 34868])).
% 55.04/35.23 tff(34873,assumption,(v26(constB171)), introduced(assumption)).
% 55.04/35.23 tff(34874,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB171))),
% 55.04/35.23 inference(quant_inst,[status(thm)],[])).
% 55.04/35.23 tff(34875,plain,
% 55.04/35.23 ($false),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34874, 828, 34873])).
% 55.04/35.23 tff(34876,plain,(~v26(constB171)), inference(lemma,lemma(discharge,[]))).
% 55.04/35.23 tff(34877,plain,
% 55.04/35.23 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB171, 0)) | v26(constB171) | v130(constB171, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB171, 0)) | v26(constB171) | v130(constB171, 0))),
% 55.04/35.23 inference(rewrite,[status(thm)],[])).
% 55.04/35.23 tff(34878,plain,
% 55.04/35.23 ((v26(constB171) | v130(constB171, 0) | (~v127(constB171, 0))) <=> ((~v127(constB171, 0)) | v26(constB171) | v130(constB171, 0))),
% 55.04/35.23 inference(rewrite,[status(thm)],[])).
% 55.04/35.23 tff(34879,plain,
% 55.04/35.23 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB171) | v130(constB171, 0) | (~v127(constB171, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB171, 0)) | v26(constB171) | v130(constB171, 0)))),
% 55.04/35.23 inference(monotonicity,[status(thm)],[34878])).
% 55.04/35.23 tff(34880,plain,
% 55.04/35.23 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB171) | v130(constB171, 0) | (~v127(constB171, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB171, 0)) | v26(constB171) | v130(constB171, 0))),
% 55.04/35.23 inference(transitivity,[status(thm)],[34879, 34877])).
% 55.04/35.23 tff(34881,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB171) | v130(constB171, 0) | (~v127(constB171, 0)))),
% 55.04/35.23 inference(quant_inst,[status(thm)],[])).
% 55.04/35.23 tff(34882,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB171, 0)) | v26(constB171) | v130(constB171, 0)),
% 55.04/35.23 inference(modus_ponens,[status(thm)],[34881, 34880])).
% 55.04/35.23 tff(34883,plain,
% 55.04/35.23 ((~v127(constB171, 0)) | v130(constB171, 0)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34882, 1671, 34876])).
% 55.04/35.23 tff(34884,plain,
% 55.04/35.23 (~v127(constB171, 0)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34883, 34872])).
% 55.04/35.23 tff(34885,assumption,(~v127(constB171, 0)), introduced(assumption)).
% 55.04/35.23 tff(34886,plain,
% 55.04/35.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB171, constB172)) | v127(constB171, 0) | (~v129(constB172, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB171, constB172)) | v127(constB171, 0) | (~v129(constB172, 0)))),
% 55.04/35.23 inference(rewrite,[status(thm)],[])).
% 55.04/35.23 tff(34887,plain,
% 55.04/35.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB171, constB172)) | v127(constB171, 0) | (~v129(constB172, 0)))),
% 55.04/35.23 inference(quant_inst,[status(thm)],[])).
% 55.04/35.23 tff(34888,plain,
% 55.04/35.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB171, constB172)) | v127(constB171, 0) | (~v129(constB172, 0))),
% 55.04/35.23 inference(modus_ponens,[status(thm)],[34887, 34886])).
% 55.04/35.23 tff(34889,plain,
% 55.04/35.23 (v127(constB171, 0) | (~v129(constB172, 0))),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34888, 1689, 32114])).
% 55.04/35.23 tff(34890,plain,
% 55.04/35.23 (~v129(constB172, 0)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34889, 34885])).
% 55.04/35.23 tff(34891,assumption,(v90(constB172, 0)), introduced(assumption)).
% 55.04/35.23 tff(34892,plain,
% 55.04/35.23 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB172, 0)) | v129(constB172, 0) | (~v100(constB172)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB172, 0)) | v129(constB172, 0) | (~v100(constB172)))),
% 55.04/35.23 inference(rewrite,[status(thm)],[])).
% 55.04/35.23 tff(34893,plain,
% 55.04/35.23 (((~v90(constB172, 0)) | (~v100(constB172)) | v129(constB172, 0)) <=> ((~v90(constB172, 0)) | v129(constB172, 0) | (~v100(constB172)))),
% 55.04/35.23 inference(rewrite,[status(thm)],[])).
% 55.04/35.23 tff(34894,plain,
% 55.04/35.23 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB172, 0)) | (~v100(constB172)) | v129(constB172, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB172, 0)) | v129(constB172, 0) | (~v100(constB172))))),
% 55.04/35.23 inference(monotonicity,[status(thm)],[34893])).
% 55.04/35.23 tff(34895,plain,
% 55.04/35.23 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB172, 0)) | (~v100(constB172)) | v129(constB172, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB172, 0)) | v129(constB172, 0) | (~v100(constB172)))),
% 55.04/35.23 inference(transitivity,[status(thm)],[34894, 34892])).
% 55.04/35.23 tff(34896,plain,
% 55.04/35.23 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB172, 0)) | (~v100(constB172)) | v129(constB172, 0))),
% 55.04/35.23 inference(quant_inst,[status(thm)],[])).
% 55.04/35.23 tff(34897,plain,
% 55.04/35.23 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB172, 0)) | v129(constB172, 0) | (~v100(constB172))),
% 55.04/35.23 inference(modus_ponens,[status(thm)],[34896, 34895])).
% 55.04/35.23 tff(34898,plain,
% 55.04/35.23 (v129(constB172, 0) | (~v100(constB172))),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34897, 1704, 34891])).
% 55.04/35.23 tff(34899,plain,
% 55.04/35.23 (~v100(constB172)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34898, 34890])).
% 55.04/35.23 tff(34900,assumption,(~v108(constB171)), introduced(assumption)).
% 55.04/35.23 tff(34901,plain,
% 55.04/35.23 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB171) | (~v112(constB171)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB171) | (~v112(constB171)))),
% 55.04/35.23 inference(rewrite,[status(thm)],[])).
% 55.04/35.23 tff(34902,plain,
% 55.04/35.23 (((~v112(constB171)) | v108(constB171)) <=> (v108(constB171) | (~v112(constB171)))),
% 55.04/35.23 inference(rewrite,[status(thm)],[])).
% 55.04/35.23 tff(34903,plain,
% 55.04/35.23 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB171)) | v108(constB171))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB171) | (~v112(constB171))))),
% 55.04/35.23 inference(monotonicity,[status(thm)],[34902])).
% 55.04/35.23 tff(34904,plain,
% 55.04/35.23 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB171)) | v108(constB171))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB171) | (~v112(constB171)))),
% 55.04/35.23 inference(transitivity,[status(thm)],[34903, 34901])).
% 55.04/35.23 tff(34905,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB171)) | v108(constB171))),
% 55.04/35.23 inference(quant_inst,[status(thm)],[])).
% 55.04/35.23 tff(34906,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB171) | (~v112(constB171))),
% 55.04/35.23 inference(modus_ponens,[status(thm)],[34905, 34904])).
% 55.04/35.23 tff(34907,plain,
% 55.04/35.23 (~v112(constB171)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34906, 1075, 34900])).
% 55.04/35.23 tff(34908,plain,
% 55.04/35.23 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB171) | (~v26(constB171)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB171) | (~v26(constB171)))),
% 55.04/35.23 inference(rewrite,[status(thm)],[])).
% 55.04/35.23 tff(34909,plain,
% 55.04/35.23 (((~v26(constB171)) | v108(constB171)) <=> (v108(constB171) | (~v26(constB171)))),
% 55.04/35.23 inference(rewrite,[status(thm)],[])).
% 55.04/35.23 tff(34910,plain,
% 55.04/35.23 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB171)) | v108(constB171))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB171) | (~v26(constB171))))),
% 55.04/35.23 inference(monotonicity,[status(thm)],[34909])).
% 55.04/35.23 tff(34911,plain,
% 55.04/35.23 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB171)) | v108(constB171))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB171) | (~v26(constB171)))),
% 55.04/35.23 inference(transitivity,[status(thm)],[34910, 34908])).
% 55.04/35.23 tff(34912,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB171)) | v108(constB171))),
% 55.04/35.23 inference(quant_inst,[status(thm)],[])).
% 55.04/35.23 tff(34913,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB171) | (~v26(constB171))),
% 55.04/35.23 inference(modus_ponens,[status(thm)],[34912, 34911])).
% 55.04/35.23 tff(34914,plain,
% 55.04/35.23 (~v26(constB171)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34913, 2050, 34900])).
% 55.04/35.23 tff(34915,plain,
% 55.04/35.23 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB171) | v112(constB171) | (~v113(constB171)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB171) | v112(constB171) | (~v113(constB171)))),
% 55.04/35.23 inference(rewrite,[status(thm)],[])).
% 55.04/35.23 tff(34916,plain,
% 55.04/35.23 ((v26(constB171) | (~v113(constB171)) | v112(constB171)) <=> (v26(constB171) | v112(constB171) | (~v113(constB171)))),
% 55.04/35.23 inference(rewrite,[status(thm)],[])).
% 55.04/35.23 tff(34917,plain,
% 55.04/35.23 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB171) | (~v113(constB171)) | v112(constB171))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB171) | v112(constB171) | (~v113(constB171))))),
% 55.04/35.23 inference(monotonicity,[status(thm)],[34916])).
% 55.04/35.23 tff(34918,plain,
% 55.04/35.23 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB171) | (~v113(constB171)) | v112(constB171))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB171) | v112(constB171) | (~v113(constB171)))),
% 55.04/35.23 inference(transitivity,[status(thm)],[34917, 34915])).
% 55.04/35.23 tff(34919,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB171) | (~v113(constB171)) | v112(constB171))),
% 55.04/35.23 inference(quant_inst,[status(thm)],[])).
% 55.04/35.23 tff(34920,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB171) | v112(constB171) | (~v113(constB171))),
% 55.04/35.23 inference(modus_ponens,[status(thm)],[34919, 34918])).
% 55.04/35.23 tff(34921,plain,
% 55.04/35.23 (~v113(constB171)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34920, 1063, 34914, 34907])).
% 55.04/35.23 tff(34922,plain,
% 55.04/35.23 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB171) | (~v114(constB171)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB171) | (~v114(constB171)))),
% 55.04/35.23 inference(rewrite,[status(thm)],[])).
% 55.04/35.23 tff(34923,plain,
% 55.04/35.23 (((~v114(constB171)) | v113(constB171)) <=> (v113(constB171) | (~v114(constB171)))),
% 55.04/35.23 inference(rewrite,[status(thm)],[])).
% 55.04/35.23 tff(34924,plain,
% 55.04/35.23 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB171)) | v113(constB171))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB171) | (~v114(constB171))))),
% 55.04/35.23 inference(monotonicity,[status(thm)],[34923])).
% 55.04/35.23 tff(34925,plain,
% 55.04/35.23 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB171)) | v113(constB171))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB171) | (~v114(constB171)))),
% 55.04/35.23 inference(transitivity,[status(thm)],[34924, 34922])).
% 55.04/35.23 tff(34926,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB171)) | v113(constB171))),
% 55.04/35.23 inference(quant_inst,[status(thm)],[])).
% 55.04/35.23 tff(34927,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB171) | (~v114(constB171))),
% 55.04/35.23 inference(modus_ponens,[status(thm)],[34926, 34925])).
% 55.04/35.23 tff(34928,plain,
% 55.04/35.23 (~v114(constB171)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34927, 1049, 34921])).
% 55.04/35.23 tff(34929,plain,
% 55.04/35.23 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB171) | (~v115(constB171)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB171) | (~v115(constB171)))),
% 55.04/35.23 inference(rewrite,[status(thm)],[])).
% 55.04/35.23 tff(34930,plain,
% 55.04/35.23 (((~v115(constB171)) | v114(constB171)) <=> (v114(constB171) | (~v115(constB171)))),
% 55.04/35.23 inference(rewrite,[status(thm)],[])).
% 55.04/35.23 tff(34931,plain,
% 55.04/35.23 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB171)) | v114(constB171))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB171) | (~v115(constB171))))),
% 55.04/35.23 inference(monotonicity,[status(thm)],[34930])).
% 55.04/35.23 tff(34932,plain,
% 55.04/35.23 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB171)) | v114(constB171))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB171) | (~v115(constB171)))),
% 55.04/35.23 inference(transitivity,[status(thm)],[34931, 34929])).
% 55.04/35.23 tff(34933,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB171)) | v114(constB171))),
% 55.04/35.23 inference(quant_inst,[status(thm)],[])).
% 55.04/35.23 tff(34934,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB171) | (~v115(constB171))),
% 55.04/35.23 inference(modus_ponens,[status(thm)],[34933, 34932])).
% 55.04/35.23 tff(34935,plain,
% 55.04/35.23 (~v115(constB171)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34934, 1035, 34928])).
% 55.04/35.23 tff(34936,plain,
% 55.04/35.23 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB171) | (~v116(constB171)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB171) | (~v116(constB171)))),
% 55.04/35.23 inference(rewrite,[status(thm)],[])).
% 55.04/35.23 tff(34937,plain,
% 55.04/35.23 (((~v116(constB171)) | v115(constB171)) <=> (v115(constB171) | (~v116(constB171)))),
% 55.04/35.23 inference(rewrite,[status(thm)],[])).
% 55.04/35.23 tff(34938,plain,
% 55.04/35.23 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB171)) | v115(constB171))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB171) | (~v116(constB171))))),
% 55.04/35.23 inference(monotonicity,[status(thm)],[34937])).
% 55.04/35.23 tff(34939,plain,
% 55.04/35.23 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB171)) | v115(constB171))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB171) | (~v116(constB171)))),
% 55.04/35.23 inference(transitivity,[status(thm)],[34938, 34936])).
% 55.04/35.23 tff(34940,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB171)) | v115(constB171))),
% 55.04/35.23 inference(quant_inst,[status(thm)],[])).
% 55.04/35.23 tff(34941,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB171) | (~v116(constB171))),
% 55.04/35.23 inference(modus_ponens,[status(thm)],[34940, 34939])).
% 55.04/35.23 tff(34942,plain,
% 55.04/35.23 (~v116(constB171)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34941, 1021, 34935])).
% 55.04/35.23 tff(34943,plain,
% 55.04/35.23 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB171) | (~v117(constB171)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB171) | (~v117(constB171)))),
% 55.04/35.23 inference(rewrite,[status(thm)],[])).
% 55.04/35.23 tff(34944,plain,
% 55.04/35.23 (((~v117(constB171)) | v116(constB171)) <=> (v116(constB171) | (~v117(constB171)))),
% 55.04/35.23 inference(rewrite,[status(thm)],[])).
% 55.04/35.23 tff(34945,plain,
% 55.04/35.23 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB171)) | v116(constB171))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB171) | (~v117(constB171))))),
% 55.04/35.23 inference(monotonicity,[status(thm)],[34944])).
% 55.04/35.23 tff(34946,plain,
% 55.04/35.23 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB171)) | v116(constB171))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB171) | (~v117(constB171)))),
% 55.04/35.23 inference(transitivity,[status(thm)],[34945, 34943])).
% 55.04/35.23 tff(34947,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB171)) | v116(constB171))),
% 55.04/35.23 inference(quant_inst,[status(thm)],[])).
% 55.04/35.23 tff(34948,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB171) | (~v117(constB171))),
% 55.04/35.23 inference(modus_ponens,[status(thm)],[34947, 34946])).
% 55.04/35.23 tff(34949,plain,
% 55.04/35.23 (~v117(constB171)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34948, 1007, 34942])).
% 55.04/35.23 tff(34950,plain,
% 55.04/35.23 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB171) | (~v118(constB171)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB171) | (~v118(constB171)))),
% 55.04/35.23 inference(rewrite,[status(thm)],[])).
% 55.04/35.23 tff(34951,plain,
% 55.04/35.23 (((~v118(constB171)) | v117(constB171)) <=> (v117(constB171) | (~v118(constB171)))),
% 55.04/35.23 inference(rewrite,[status(thm)],[])).
% 55.04/35.23 tff(34952,plain,
% 55.04/35.23 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB171)) | v117(constB171))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB171) | (~v118(constB171))))),
% 55.04/35.23 inference(monotonicity,[status(thm)],[34951])).
% 55.04/35.23 tff(34953,plain,
% 55.04/35.23 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB171)) | v117(constB171))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB171) | (~v118(constB171)))),
% 55.04/35.23 inference(transitivity,[status(thm)],[34952, 34950])).
% 55.04/35.23 tff(34954,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB171)) | v117(constB171))),
% 55.04/35.23 inference(quant_inst,[status(thm)],[])).
% 55.04/35.23 tff(34955,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB171) | (~v118(constB171))),
% 55.04/35.23 inference(modus_ponens,[status(thm)],[34954, 34953])).
% 55.04/35.23 tff(34956,plain,
% 55.04/35.23 (~v118(constB171)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34955, 993, 34949])).
% 55.04/35.23 tff(34957,plain,
% 55.04/35.23 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB171) | (~v124(constB171)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB171) | (~v124(constB171)))),
% 55.04/35.23 inference(rewrite,[status(thm)],[])).
% 55.04/35.23 tff(34958,plain,
% 55.04/35.23 (((~v124(constB171)) | v114(constB171)) <=> (v114(constB171) | (~v124(constB171)))),
% 55.04/35.23 inference(rewrite,[status(thm)],[])).
% 55.04/35.23 tff(34959,plain,
% 55.04/35.23 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB171)) | v114(constB171))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (v114(constB171) | (~v124(constB171))))),
% 55.04/35.23 inference(monotonicity,[status(thm)],[34958])).
% 55.04/35.23 tff(34960,plain,
% 55.04/35.23 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB171)) | v114(constB171))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB171) | (~v124(constB171)))),
% 55.04/35.23 inference(transitivity,[status(thm)],[34959, 34957])).
% 55.04/35.23 tff(34961,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB171)) | v114(constB171))),
% 55.04/35.23 inference(quant_inst,[status(thm)],[])).
% 55.04/35.23 tff(34962,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | v114(constB171) | (~v124(constB171))),
% 55.04/35.23 inference(modus_ponens,[status(thm)],[34961, 34960])).
% 55.04/35.23 tff(34963,plain,
% 55.04/35.23 (~v124(constB171)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34962, 2674, 34928])).
% 55.04/35.23 tff(34964,plain,
% 55.04/35.23 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB171) | (~v130(constB171, 0)) | v127(constB171, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB171) | (~v130(constB171, 0)) | v127(constB171, 0))),
% 55.04/35.23 inference(rewrite,[status(thm)],[])).
% 55.04/35.23 tff(34965,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB171) | (~v130(constB171, 0)) | v127(constB171, 0))),
% 55.04/35.23 inference(quant_inst,[status(thm)],[])).
% 55.04/35.23 tff(34966,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB171) | (~v130(constB171, 0)) | v127(constB171, 0)),
% 55.04/35.23 inference(modus_ponens,[status(thm)],[34965, 34964])).
% 55.04/35.23 tff(34967,plain,
% 55.04/35.23 (v26(constB171) | (~v130(constB171, 0))),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34966, 1347, 34885])).
% 55.04/35.23 tff(34968,plain,
% 55.04/35.23 (~v130(constB171, 0)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34967, 34914])).
% 55.04/35.23 tff(34969,plain,
% 55.04/35.23 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB171)) | v130(constB171, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB171)) | v130(constB171, 0))),
% 55.04/35.23 inference(rewrite,[status(thm)],[])).
% 55.04/35.23 tff(34970,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB171)) | v130(constB171, 0))),
% 55.04/35.23 inference(quant_inst,[status(thm)],[])).
% 55.04/35.23 tff(34971,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB171)) | v130(constB171, 0)),
% 55.04/35.23 inference(modus_ponens,[status(thm)],[34970, 34969])).
% 55.04/35.23 tff(34972,plain,
% 55.04/35.23 (~v123(constB171)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34971, 2622, 34968])).
% 55.04/35.23 tff(34973,plain,
% 55.04/35.23 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB171)) | v130(constB171, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB171)) | v130(constB171, 0))),
% 55.04/35.23 inference(rewrite,[status(thm)],[])).
% 55.04/35.23 tff(34974,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB171)) | v130(constB171, 0))),
% 55.04/35.23 inference(quant_inst,[status(thm)],[])).
% 55.04/35.23 tff(34975,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB171)) | v130(constB171, 0)),
% 55.04/35.23 inference(modus_ponens,[status(thm)],[34974, 34973])).
% 55.04/35.23 tff(34976,plain,
% 55.04/35.23 (~v119(constB171)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34975, 1333, 34968])).
% 55.04/35.23 tff(34977,plain,
% 55.04/35.23 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB171)) | v130(constB171, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB171)) | v130(constB171, 0))),
% 55.04/35.23 inference(rewrite,[status(thm)],[])).
% 55.04/35.23 tff(34978,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB171)) | v130(constB171, 0))),
% 55.04/35.23 inference(quant_inst,[status(thm)],[])).
% 55.04/35.23 tff(34979,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB171)) | v130(constB171, 0)),
% 55.04/35.23 inference(modus_ponens,[status(thm)],[34978, 34977])).
% 55.04/35.23 tff(34980,plain,
% 55.04/35.23 (~v121(constB171)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34979, 1915, 34968])).
% 55.04/35.23 tff(34981,plain,
% 55.04/35.23 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB171) | (~v122(constB171)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB171) | (~v122(constB171)))),
% 55.04/35.23 inference(rewrite,[status(thm)],[])).
% 55.04/35.23 tff(34982,plain,
% 55.04/35.23 (((~v122(constB171)) | v116(constB171)) <=> (v116(constB171) | (~v122(constB171)))),
% 55.04/35.23 inference(rewrite,[status(thm)],[])).
% 55.04/35.23 tff(34983,plain,
% 55.04/35.23 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB171)) | v116(constB171))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB171) | (~v122(constB171))))),
% 55.04/35.23 inference(monotonicity,[status(thm)],[34982])).
% 55.04/35.23 tff(34984,plain,
% 55.04/35.23 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB171)) | v116(constB171))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB171) | (~v122(constB171)))),
% 55.04/35.23 inference(transitivity,[status(thm)],[34983, 34981])).
% 55.04/35.23 tff(34985,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB171)) | v116(constB171))),
% 55.04/35.23 inference(quant_inst,[status(thm)],[])).
% 55.04/35.23 tff(34986,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB171) | (~v122(constB171))),
% 55.04/35.23 inference(modus_ponens,[status(thm)],[34985, 34984])).
% 55.04/35.23 tff(34987,plain,
% 55.04/35.23 (~v122(constB171)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34986, 2120, 34942])).
% 55.04/35.23 tff(34988,plain,
% 55.04/35.23 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB171) | v120(constB171) | v121(constB171) | v122(constB171) | v123(constB171) | v124(constB171) | v130(constB171, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB171) | v120(constB171) | v121(constB171) | v122(constB171) | v123(constB171) | v124(constB171) | v130(constB171, 0))),
% 55.04/35.23 inference(rewrite,[status(thm)],[])).
% 55.04/35.23 tff(34989,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB171) | v120(constB171) | v121(constB171) | v122(constB171) | v123(constB171) | v124(constB171) | v130(constB171, 0))),
% 55.04/35.23 inference(quant_inst,[status(thm)],[])).
% 55.04/35.23 tff(34990,plain,
% 55.04/35.23 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB171) | v120(constB171) | v121(constB171) | v122(constB171) | v123(constB171) | v124(constB171) | v130(constB171, 0)),
% 55.04/35.23 inference(modus_ponens,[status(thm)],[34989, 34988])).
% 55.04/35.23 tff(34991,plain,
% 55.04/35.23 (v119(constB171) | v120(constB171) | v121(constB171) | v122(constB171) | v123(constB171) | v124(constB171)),
% 55.04/35.23 inference(unit_resolution,[status(thm)],[34990, 3413, 34968])).
% 55.04/35.23 tff(34992,plain,
% 55.04/35.24 (v120(constB171)),
% 55.04/35.24 inference(unit_resolution,[status(thm)],[34991, 34987, 34980, 34976, 34972, 34963])).
% 55.04/35.24 tff(34993,plain,
% 55.04/35.24 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB171) | (~v120(constB171)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB171) | (~v120(constB171)))),
% 55.04/35.24 inference(rewrite,[status(thm)],[])).
% 55.04/35.24 tff(34994,plain,
% 55.04/35.24 (((~v120(constB171)) | v118(constB171)) <=> (v118(constB171) | (~v120(constB171)))),
% 55.04/35.24 inference(rewrite,[status(thm)],[])).
% 55.04/35.24 tff(34995,plain,
% 55.04/35.24 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB171)) | v118(constB171))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (v118(constB171) | (~v120(constB171))))),
% 55.04/35.24 inference(monotonicity,[status(thm)],[34994])).
% 55.04/35.24 tff(34996,plain,
% 55.04/35.24 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB171)) | v118(constB171))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB171) | (~v120(constB171)))),
% 55.04/35.24 inference(transitivity,[status(thm)],[34995, 34993])).
% 55.04/35.24 tff(34997,plain,
% 55.04/35.24 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB171)) | v118(constB171))),
% 55.04/35.24 inference(quant_inst,[status(thm)],[])).
% 55.04/35.24 tff(34998,plain,
% 55.04/35.24 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | v118(constB171) | (~v120(constB171))),
% 55.04/35.24 inference(modus_ponens,[status(thm)],[34997, 34996])).
% 55.04/35.24 tff(34999,plain,
% 55.04/35.24 ($false),
% 55.04/35.24 inference(unit_resolution,[status(thm)],[34998, 1425, 34992, 34956])).
% 55.04/35.24 tff(35000,plain,(v108(constB171) | v127(constB171, 0)), inference(lemma,lemma(discharge,[]))).
% 55.04/35.24 tff(35001,plain,
% 55.04/35.24 (v108(constB171)),
% 55.04/35.24 inference(unit_resolution,[status(thm)],[35000, 34885])).
% 55.04/35.24 tff(35002,plain,
% 55.04/35.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171)))),
% 55.04/35.24 inference(rewrite,[status(thm)],[])).
% 55.04/35.24 tff(35003,plain,
% 55.04/35.24 (((~nextState(constB171, constB172)) | (~v108(constB171)) | v110(constB172)) <=> ((~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171)))),
% 55.04/35.24 inference(rewrite,[status(thm)],[])).
% 55.04/35.24 tff(35004,plain,
% 55.04/35.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB171, constB172)) | (~v108(constB171)) | v110(constB172))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171))))),
% 55.04/35.24 inference(monotonicity,[status(thm)],[35003])).
% 55.04/35.24 tff(35005,plain,
% 55.04/35.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB171, constB172)) | (~v108(constB171)) | v110(constB172))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171)))),
% 55.04/35.24 inference(transitivity,[status(thm)],[35004, 35002])).
% 55.04/35.24 tff(35006,plain,
% 55.04/35.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB171, constB172)) | (~v108(constB171)) | v110(constB172))),
% 55.04/35.24 inference(quant_inst,[status(thm)],[])).
% 55.04/35.24 tff(35007,plain,
% 55.04/35.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB171, constB172)) | v110(constB172) | (~v108(constB171))),
% 55.04/35.24 inference(modus_ponens,[status(thm)],[35006, 35005])).
% 55.04/35.24 tff(35008,plain,
% 55.04/35.24 (v110(constB172) | (~v108(constB171))),
% 55.04/35.24 inference(unit_resolution,[status(thm)],[35007, 1095, 32114])).
% 55.04/35.24 tff(35009,plain,
% 55.04/35.24 (v110(constB172)),
% 55.04/35.24 inference(unit_resolution,[status(thm)],[35008, 35001])).
% 55.04/35.24 tff(35010,plain,
% 55.04/35.24 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB171) | (~nextState(constB171, constB172)) | (~v104(constB172)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB171) | (~nextState(constB171, constB172)) | (~v104(constB172)))),
% 55.04/35.24 inference(rewrite,[status(thm)],[])).
% 55.04/35.24 tff(35011,plain,
% 55.04/35.24 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB171) | (~nextState(constB171, constB172)) | (~v104(constB172)))),
% 55.04/35.24 inference(quant_inst,[status(thm)],[])).
% 55.04/35.24 tff(35012,plain,
% 55.04/35.24 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB171) | (~nextState(constB171, constB172)) | (~v104(constB172))),
% 55.04/35.24 inference(modus_ponens,[status(thm)],[35011, 35010])).
% 55.04/35.24 tff(35013,plain,
% 55.04/35.24 (~v104(constB172)),
% 55.04/35.24 inference(unit_resolution,[status(thm)],[35012, 1113, 32114, 31791])).
% 55.04/35.24 tff(35014,plain,
% 55.04/35.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB171, constB172)) | v102(constB172) | v104(constB172))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB171, constB172)) | v102(constB172) | v104(constB172))),
% 55.04/35.24 inference(rewrite,[status(thm)],[])).
% 55.04/35.24 tff(35015,plain,
% 55.04/35.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB171, constB172)) | v102(constB172) | v104(constB172))),
% 55.04/35.24 inference(quant_inst,[status(thm)],[])).
% 55.04/35.24 tff(35016,plain,
% 55.04/35.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB171, constB172)) | v102(constB172) | v104(constB172)),
% 55.04/35.24 inference(modus_ponens,[status(thm)],[35015, 35014])).
% 55.04/35.24 tff(35017,plain,
% 55.04/35.24 (v102(constB172) | v104(constB172)),
% 55.04/35.24 inference(unit_resolution,[status(thm)],[35016, 1127, 32114])).
% 55.04/35.24 tff(35018,plain,
% 55.04/35.24 (v102(constB172)),
% 55.04/35.24 inference(unit_resolution,[status(thm)],[35017, 35013])).
% 55.04/35.24 tff(35019,plain,
% 55.04/35.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB171, constB172)) | v101(constB172) | (~v102(constB172)) | (~v1(constB172)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB171, constB172)) | v101(constB172) | (~v102(constB172)) | (~v1(constB172)))),
% 55.04/35.24 inference(rewrite,[status(thm)],[])).
% 55.04/35.24 tff(35020,plain,
% 55.04/35.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB171, constB172)) | v101(constB172) | (~v102(constB172)) | (~v1(constB172)))),
% 55.04/35.24 inference(quant_inst,[status(thm)],[])).
% 55.04/35.24 tff(35021,plain,
% 55.04/35.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB171, constB172)) | v101(constB172) | (~v102(constB172)) | (~v1(constB172))),
% 55.04/35.24 inference(modus_ponens,[status(thm)],[35020, 35019])).
% 55.04/35.24 tff(35022,plain,
% 55.04/35.24 (v101(constB172) | (~v102(constB172))),
% 55.04/35.24 inference(unit_resolution,[status(thm)],[35021, 1145, 32114, 189])).
% 55.04/35.24 tff(35023,plain,
% 55.04/35.24 (v101(constB172)),
% 55.04/35.24 inference(unit_resolution,[status(thm)],[35022, 35018])).
% 55.04/35.24 tff(35024,plain,
% 55.04/35.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172)))),
% 55.04/35.24 inference(rewrite,[status(thm)],[])).
% 55.04/35.24 tff(35025,plain,
% 55.04/35.24 (((~nextState(constB171, constB172)) | (~v101(constB172)) | (~v110(constB172)) | v100(constB172)) <=> ((~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172)))),
% 55.04/35.24 inference(rewrite,[status(thm)],[])).
% 55.04/35.24 tff(35026,plain,
% 55.04/35.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB171, constB172)) | (~v101(constB172)) | (~v110(constB172)) | v100(constB172))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172))))),
% 55.04/35.24 inference(monotonicity,[status(thm)],[35025])).
% 55.04/35.24 tff(35027,plain,
% 55.04/35.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB171, constB172)) | (~v101(constB172)) | (~v110(constB172)) | v100(constB172))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172)))),
% 55.04/35.24 inference(transitivity,[status(thm)],[35026, 35024])).
% 55.04/35.24 tff(35028,plain,
% 55.04/35.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB171, constB172)) | (~v101(constB172)) | (~v110(constB172)) | v100(constB172))),
% 55.04/35.24 inference(quant_inst,[status(thm)],[])).
% 55.04/35.24 tff(35029,plain,
% 55.04/35.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB171, constB172)) | v100(constB172) | (~v101(constB172)) | (~v110(constB172))),
% 55.04/35.24 inference(modus_ponens,[status(thm)],[35028, 35027])).
% 55.04/35.24 tff(35030,plain,
% 55.04/35.24 (v100(constB172) | (~v101(constB172)) | (~v110(constB172))),
% 55.04/35.24 inference(unit_resolution,[status(thm)],[35029, 1160, 32114])).
% 55.04/35.24 tff(35031,plain,
% 55.04/35.24 (v100(constB172) | (~v110(constB172))),
% 55.04/35.24 inference(unit_resolution,[status(thm)],[35030, 35023])).
% 55.04/35.24 tff(35032,plain,
% 55.04/35.24 ($false),
% 55.04/35.24 inference(unit_resolution,[status(thm)],[35031, 35009, 34899])).
% 55.04/35.24 tff(35033,plain,(v127(constB171, 0) | (~v90(constB172, 0))), inference(lemma,lemma(discharge,[]))).
% 55.04/35.24 tff(35034,plain,
% 55.04/35.24 (~v90(constB172, 0)),
% 55.04/35.24 inference(unit_resolution,[status(thm)],[35033, 34884])).
% 55.04/35.24 tff(35035,assumption,(~v100(constB172)), introduced(assumption)).
% 55.04/35.24 tff(35036,plain,
% 55.04/35.24 (~v110(constB172)),
% 55.04/35.24 inference(unit_resolution,[status(thm)],[35031, 35035])).
% 55.04/35.24 tff(35037,plain,
% 55.04/35.24 (~v108(constB171)),
% 55.04/35.24 inference(unit_resolution,[status(thm)],[35008, 35036])).
% 55.04/35.24 tff(35038,plain,
% 55.04/35.24 (~v112(constB171)),
% 55.04/35.24 inference(unit_resolution,[status(thm)],[34906, 1075, 35037])).
% 55.04/35.24 tff(35039,plain,
% 55.04/35.24 (v112(constB171) | (~v113(constB171))),
% 55.04/35.24 inference(unit_resolution,[status(thm)],[34920, 1063, 34876])).
% 55.04/35.24 tff(35040,plain,
% 55.04/35.24 (~v113(constB171)),
% 55.04/35.24 inference(unit_resolution,[status(thm)],[35039, 35038])).
% 55.04/35.24 tff(35041,plain,
% 55.04/35.24 (~v114(constB171)),
% 55.04/35.24 inference(unit_resolution,[status(thm)],[34927, 1049, 35040])).
% 55.04/35.24 tff(35042,plain,
% 55.04/35.24 (~v115(constB171)),
% 55.04/35.24 inference(unit_resolution,[status(thm)],[34934, 1035, 35041])).
% 55.04/35.24 tff(35043,plain,
% 55.04/35.24 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB171)) | v115(constB171))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB171)) | v115(constB171))),
% 55.04/35.24 inference(rewrite,[status(thm)],[])).
% 55.04/35.24 tff(35044,plain,
% 55.04/35.24 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB171)) | v115(constB171))),
% 55.04/35.24 inference(quant_inst,[status(thm)],[])).
% 55.04/35.24 tff(35045,plain,
% 55.04/35.24 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB171)) | v115(constB171)),
% 55.04/35.24 inference(modus_ponens,[status(thm)],[35044, 35043])).
% 55.04/35.24 tff(35046,plain,
% 55.04/35.24 (~v123(constB171)),
% 55.04/35.24 inference(unit_resolution,[status(thm)],[35045, 2291, 35042])).
% 55.04/35.24 tff(35047,plain,
% 55.04/35.24 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB171) | (~v125(constB171)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB171) | (~v125(constB171)))),
% 55.04/35.24 inference(rewrite,[status(thm)],[])).
% 55.04/35.24 tff(35048,plain,
% 55.04/35.24 (((~v125(constB171)) | v113(constB171)) <=> (v113(constB171) | (~v125(constB171)))),
% 55.04/35.24 inference(rewrite,[status(thm)],[])).
% 55.04/35.24 tff(35049,plain,
% 55.04/35.24 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB171)) | v113(constB171))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB171) | (~v125(constB171))))),
% 55.04/35.24 inference(monotonicity,[status(thm)],[35048])).
% 55.04/35.24 tff(35050,plain,
% 55.04/35.24 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB171)) | v113(constB171))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB171) | (~v125(constB171)))),
% 55.04/35.24 inference(transitivity,[status(thm)],[35049, 35047])).
% 55.04/35.24 tff(35051,plain,
% 55.04/35.24 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB171)) | v113(constB171))),
% 55.04/35.24 inference(quant_inst,[status(thm)],[])).
% 55.04/35.24 tff(35052,plain,
% 55.04/35.24 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB171) | (~v125(constB171))),
% 55.04/35.24 inference(modus_ponens,[status(thm)],[35051, 35050])).
% 55.04/35.24 tff(35053,plain,
% 55.04/35.24 (~v125(constB171)),
% 55.04/35.24 inference(unit_resolution,[status(thm)],[35052, 2262, 35040])).
% 55.04/35.24 tff(35054,assumption,(~v90(constB172, 0)), introduced(assumption)).
% 55.04/35.24 tff(35055,plain,
% 55.04/35.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB171, 0)) | (~nextState(constB171, constB172)) | v100(constB172) | v90(constB172, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB171, 0)) | (~nextState(constB171, constB172)) | v100(constB172) | v90(constB172, 0))),
% 55.04/35.24 inference(rewrite,[status(thm)],[])).
% 55.04/35.24 tff(35056,plain,
% 55.04/35.24 (((~nextState(constB171, constB172)) | (~v90(constB171, 0)) | v100(constB172) | v90(constB172, 0)) <=> ((~v90(constB171, 0)) | (~nextState(constB171, constB172)) | v100(constB172) | v90(constB172, 0))),
% 55.04/35.24 inference(rewrite,[status(thm)],[])).
% 55.04/35.24 tff(35057,plain,
% 55.04/35.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB171, constB172)) | (~v90(constB171, 0)) | v100(constB172) | v90(constB172, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB171, 0)) | (~nextState(constB171, constB172)) | v100(constB172) | v90(constB172, 0)))),
% 55.04/35.24 inference(monotonicity,[status(thm)],[35056])).
% 55.04/35.24 tff(35058,plain,
% 55.04/35.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB171, constB172)) | (~v90(constB171, 0)) | v100(constB172) | v90(constB172, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB171, 0)) | (~nextState(constB171, constB172)) | v100(constB172) | v90(constB172, 0))),
% 55.04/35.24 inference(transitivity,[status(thm)],[35057, 35055])).
% 55.04/35.24 tff(35059,plain,
% 55.04/35.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB171, constB172)) | (~v90(constB171, 0)) | v100(constB172) | v90(constB172, 0))),
% 55.04/35.24 inference(quant_inst,[status(thm)],[])).
% 55.04/35.24 tff(35060,plain,
% 55.04/35.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB171, 0)) | (~nextState(constB171, constB172)) | v100(constB172) | v90(constB172, 0)),
% 55.04/35.24 inference(modus_ponens,[status(thm)],[35059, 35058])).
% 55.04/35.24 tff(35061,plain,
% 55.04/35.24 ((~v90(constB171, 0)) | v100(constB172) | v90(constB172, 0)),
% 55.04/35.24 inference(unit_resolution,[status(thm)],[35060, 1395, 32114])).
% 55.04/35.24 tff(35062,plain,
% 55.04/35.24 (~v90(constB171, 0)),
% 55.04/35.24 inference(unit_resolution,[status(thm)],[35061, 35054, 35035])).
% 55.04/35.24 tff(35063,assumption,(~v90(constB172, 2)), introduced(assumption)).
% 55.04/35.24 tff(35064,plain,
% 55.04/35.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB171, 2)) | (~nextState(constB171, constB172)) | v100(constB172) | v90(constB172, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB171, 2)) | (~nextState(constB171, constB172)) | v100(constB172) | v90(constB172, 2))),
% 55.04/35.24 inference(rewrite,[status(thm)],[])).
% 55.04/35.24 tff(35065,plain,
% 55.04/35.24 (((~nextState(constB171, constB172)) | (~v90(constB171, 2)) | v100(constB172) | v90(constB172, 2)) <=> ((~v90(constB171, 2)) | (~nextState(constB171, constB172)) | v100(constB172) | v90(constB172, 2))),
% 55.04/35.24 inference(rewrite,[status(thm)],[])).
% 55.04/35.24 tff(35066,plain,
% 55.04/35.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB171, constB172)) | (~v90(constB171, 2)) | v100(constB172) | v90(constB172, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB171, 2)) | (~nextState(constB171, constB172)) | v100(constB172) | v90(constB172, 2)))),
% 55.04/35.24 inference(monotonicity,[status(thm)],[35065])).
% 55.04/35.24 tff(35067,plain,
% 55.04/35.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB171, constB172)) | (~v90(constB171, 2)) | v100(constB172) | v90(constB172, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB171, 2)) | (~nextState(constB171, constB172)) | v100(constB172) | v90(constB172, 2))),
% 55.04/35.24 inference(transitivity,[status(thm)],[35066, 35064])).
% 55.04/35.24 tff(35068,plain,
% 55.04/35.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB171, constB172)) | (~v90(constB171, 2)) | v100(constB172) | v90(constB172, 2))),
% 55.04/35.24 inference(quant_inst,[status(thm)],[])).
% 55.04/35.24 tff(35069,plain,
% 55.04/35.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB171, 2)) | (~nextState(constB171, constB172)) | v100(constB172) | v90(constB172, 2)),
% 55.04/35.24 inference(modus_ponens,[status(thm)],[35068, 35067])).
% 55.04/35.24 tff(35070,plain,
% 55.04/35.24 ((~v90(constB171, 2)) | v100(constB172) | v90(constB172, 2)),
% 55.04/35.24 inference(unit_resolution,[status(thm)],[35069, 2174, 32114])).
% 55.04/35.24 tff(35071,plain,
% 55.04/35.24 (~v90(constB171, 2)),
% 55.04/35.24 inference(unit_resolution,[status(thm)],[35070, 35035, 35063])).
% 55.04/35.24 tff(35072,plain,
% 55.04/35.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB170, 2)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB170, 2)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, 2))),
% 55.04/35.24 inference(rewrite,[status(thm)],[])).
% 55.04/35.24 tff(35073,plain,
% 55.04/35.24 (((~nextState(constB170, constB171)) | (~v90(constB170, 2)) | v100(constB171) | v90(constB171, 2)) <=> ((~v90(constB170, 2)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, 2))),
% 55.04/35.24 inference(rewrite,[status(thm)],[])).
% 55.04/35.24 tff(35074,plain,
% 55.04/35.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB170, constB171)) | (~v90(constB170, 2)) | v100(constB171) | v90(constB171, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB170, 2)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, 2)))),
% 55.04/35.24 inference(monotonicity,[status(thm)],[35073])).
% 55.04/35.24 tff(35075,plain,
% 55.04/35.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB170, constB171)) | (~v90(constB170, 2)) | v100(constB171) | v90(constB171, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB170, 2)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, 2))),
% 55.04/35.24 inference(transitivity,[status(thm)],[35074, 35072])).
% 55.04/35.24 tff(35076,plain,
% 55.04/35.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB170, constB171)) | (~v90(constB170, 2)) | v100(constB171) | v90(constB171, 2))),
% 55.04/35.24 inference(quant_inst,[status(thm)],[])).
% 55.04/35.24 tff(35077,plain,
% 55.04/35.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB170, 2)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, 2)),
% 55.04/35.24 inference(modus_ponens,[status(thm)],[35076, 35075])).
% 55.04/35.24 tff(35078,plain,
% 55.04/35.24 ((~v90(constB170, 2)) | v100(constB171) | v90(constB171, 2)),
% 55.04/35.24 inference(unit_resolution,[status(thm)],[35077, 2174, 31794])).
% 55.04/35.24 tff(35079,plain,
% 55.04/35.24 ((~v90(constB170, 2)) | v90(constB171, 2)),
% 55.04/35.24 inference(unit_resolution,[status(thm)],[35078, 31806])).
% 55.04/35.24 tff(35080,plain,
% 55.04/35.24 (~v90(constB170, 2)),
% 55.04/35.24 inference(unit_resolution,[status(thm)],[35079, 35071])).
% 55.04/35.24 tff(35081,plain,
% 55.04/35.24 (~v90(constB171, 0)),
% 55.04/35.24 inference(unit_resolution,[status(thm)],[35061, 35035, 35054])).
% 55.04/35.24 tff(35082,plain,
% 55.04/35.24 (~v90(constB170, 0)),
% 55.04/35.24 inference(unit_resolution,[status(thm)],[31887, 35081])).
% 55.04/35.24 tff(35083,assumption,(~v90(constB172, 1)), introduced(assumption)).
% 55.04/35.24 tff(35084,plain,
% 55.04/35.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB171, 1)) | (~nextState(constB171, constB172)) | v100(constB172) | v90(constB172, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB171, 1)) | (~nextState(constB171, constB172)) | v100(constB172) | v90(constB172, 1))),
% 55.04/35.24 inference(rewrite,[status(thm)],[])).
% 55.04/35.24 tff(35085,plain,
% 55.04/35.24 (((~nextState(constB171, constB172)) | (~v90(constB171, 1)) | v100(constB172) | v90(constB172, 1)) <=> ((~v90(constB171, 1)) | (~nextState(constB171, constB172)) | v100(constB172) | v90(constB172, 1))),
% 55.04/35.24 inference(rewrite,[status(thm)],[])).
% 55.04/35.24 tff(35086,plain,
% 55.04/35.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB171, constB172)) | (~v90(constB171, 1)) | v100(constB172) | v90(constB172, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB171, 1)) | (~nextState(constB171, constB172)) | v100(constB172) | v90(constB172, 1)))),
% 55.04/35.24 inference(monotonicity,[status(thm)],[35085])).
% 55.04/35.24 tff(35087,plain,
% 55.04/35.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB171, constB172)) | (~v90(constB171, 1)) | v100(constB172) | v90(constB172, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB171, 1)) | (~nextState(constB171, constB172)) | v100(constB172) | v90(constB172, 1))),
% 55.04/35.24 inference(transitivity,[status(thm)],[35086, 35084])).
% 55.04/35.24 tff(35088,plain,
% 55.04/35.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB171, constB172)) | (~v90(constB171, 1)) | v100(constB172) | v90(constB172, 1))),
% 55.04/35.24 inference(quant_inst,[status(thm)],[])).
% 55.04/35.24 tff(35089,plain,
% 55.04/35.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB171, 1)) | (~nextState(constB171, constB172)) | v100(constB172) | v90(constB172, 1)),
% 55.04/35.24 inference(modus_ponens,[status(thm)],[35088, 35087])).
% 55.04/35.24 tff(35090,plain,
% 55.04/35.24 ((~v90(constB171, 1)) | v100(constB172) | v90(constB172, 1)),
% 55.04/35.24 inference(unit_resolution,[status(thm)],[35089, 1641, 32114])).
% 55.04/35.24 tff(35091,plain,
% 55.04/35.24 (~v90(constB171, 1)),
% 55.04/35.24 inference(unit_resolution,[status(thm)],[35090, 35035, 35083])).
% 55.04/35.24 tff(35092,plain,
% 55.04/35.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB170, 1)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB170, 1)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, 1))),
% 55.04/35.24 inference(rewrite,[status(thm)],[])).
% 55.04/35.24 tff(35093,plain,
% 55.04/35.24 (((~nextState(constB170, constB171)) | (~v90(constB170, 1)) | v100(constB171) | v90(constB171, 1)) <=> ((~v90(constB170, 1)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, 1))),
% 55.04/35.24 inference(rewrite,[status(thm)],[])).
% 55.04/35.24 tff(35094,plain,
% 55.04/35.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB170, constB171)) | (~v90(constB170, 1)) | v100(constB171) | v90(constB171, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB170, 1)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, 1)))),
% 55.04/35.24 inference(monotonicity,[status(thm)],[35093])).
% 55.04/35.24 tff(35095,plain,
% 55.04/35.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB170, constB171)) | (~v90(constB170, 1)) | v100(constB171) | v90(constB171, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB170, 1)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, 1))),
% 55.04/35.24 inference(transitivity,[status(thm)],[35094, 35092])).
% 55.04/35.24 tff(35096,plain,
% 55.04/35.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB170, constB171)) | (~v90(constB170, 1)) | v100(constB171) | v90(constB171, 1))),
% 55.04/35.24 inference(quant_inst,[status(thm)],[])).
% 55.04/35.24 tff(35097,plain,
% 55.04/35.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB170, 1)) | (~nextState(constB170, constB171)) | v100(constB171) | v90(constB171, 1)),
% 55.04/35.24 inference(modus_ponens,[status(thm)],[35096, 35095])).
% 55.04/35.24 tff(35098,plain,
% 55.04/35.24 ((~v90(constB170, 1)) | v100(constB171) | v90(constB171, 1)),
% 55.04/35.24 inference(unit_resolution,[status(thm)],[35097, 1641, 31794])).
% 55.04/35.24 tff(35099,plain,
% 55.04/35.24 ((~v90(constB170, 1)) | v90(constB171, 1)),
% 55.04/35.24 inference(unit_resolution,[status(thm)],[35098, 31806])).
% 55.04/35.24 tff(35100,plain,
% 55.04/35.24 (~v90(constB170, 1)),
% 55.04/35.24 inference(unit_resolution,[status(thm)],[35099, 35091])).
% 55.04/35.24 tff(35101,assumption,(~v90(constB170, 1)), introduced(assumption)).
% 55.04/35.24 tff(35102,assumption,(~v90(constB170, 2)), introduced(assumption)).
% 55.04/35.24 tff(35103,assumption,(~v90(constB170, 0)), introduced(assumption)).
% 55.04/35.24 tff(35104,assumption,(~v100(constB170)), introduced(assumption)).
% 55.04/35.24 tff(35105,plain,
% 55.04/35.24 (~v110(constB170)),
% 55.04/35.24 inference(unit_resolution,[status(thm)],[31741, 35104])).
% 55.04/35.24 tff(35106,plain,
% 55.04/35.24 (~v108(constB169)),
% 55.04/35.24 inference(unit_resolution,[status(thm)],[31718, 35105])).
% 55.04/35.24 tff(35107,plain,
% 55.04/35.24 (~v112(constB169)),
% 55.04/35.24 inference(unit_resolution,[status(thm)],[31707, 1075, 35106])).
% 55.04/35.24 tff(35108,plain,
% 55.04/35.24 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB169) | (~v26(constB169)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB169) | (~v26(constB169)))),
% 55.04/35.24 inference(rewrite,[status(thm)],[])).
% 55.04/35.24 tff(35109,plain,
% 55.04/35.24 (((~v26(constB169)) | v108(constB169)) <=> (v108(constB169) | (~v26(constB169)))),
% 55.04/35.24 inference(rewrite,[status(thm)],[])).
% 55.04/35.24 tff(35110,plain,
% 55.04/35.24 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB169)) | v108(constB169))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | (v108(constB169) | (~v26(constB169))))),
% 55.04/35.24 inference(monotonicity,[status(thm)],[35109])).
% 55.04/35.24 tff(35111,plain,
% 55.04/35.24 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB169)) | v108(constB169))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB169) | (~v26(constB169)))),
% 55.04/35.24 inference(transitivity,[status(thm)],[35110, 35108])).
% 55.04/35.24 tff(35112,plain,
% 55.04/35.24 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | ((~v26(constB169)) | v108(constB169))),
% 55.04/35.24 inference(quant_inst,[status(thm)],[])).
% 55.04/35.24 tff(35113,plain,
% 55.04/35.24 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v108(VarCurr))) | v108(constB169) | (~v26(constB169))),
% 55.04/35.24 inference(modus_ponens,[status(thm)],[35112, 35111])).
% 55.04/35.24 tff(35114,plain,
% 55.04/35.24 (~v26(constB169)),
% 55.04/35.24 inference(unit_resolution,[status(thm)],[35113, 2050, 35106])).
% 55.04/35.24 tff(35115,plain,
% 55.04/35.24 (~v113(constB169)),
% 55.04/35.24 inference(unit_resolution,[status(thm)],[31699, 1063, 35114, 35107])).
% 55.04/35.24 tff(35116,plain,
% 55.04/35.24 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB169) | (~v114(constB169)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB169) | (~v114(constB169)))),
% 55.04/35.24 inference(rewrite,[status(thm)],[])).
% 55.04/35.24 tff(35117,plain,
% 55.04/35.24 (((~v114(constB169)) | v113(constB169)) <=> (v113(constB169) | (~v114(constB169)))),
% 55.04/35.24 inference(rewrite,[status(thm)],[])).
% 55.04/35.24 tff(35118,plain,
% 55.04/35.24 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB169)) | v113(constB169))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB169) | (~v114(constB169))))),
% 55.04/35.24 inference(monotonicity,[status(thm)],[35117])).
% 55.04/35.24 tff(35119,plain,
% 55.04/35.24 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB169)) | v113(constB169))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB169) | (~v114(constB169)))),
% 55.04/35.24 inference(transitivity,[status(thm)],[35118, 35116])).
% 55.04/35.24 tff(35120,plain,
% 55.04/35.24 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB169)) | v113(constB169))),
% 55.04/35.24 inference(quant_inst,[status(thm)],[])).
% 55.04/35.24 tff(35121,plain,
% 55.04/35.24 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB169) | (~v114(constB169))),
% 55.04/35.24 inference(modus_ponens,[status(thm)],[35120, 35119])).
% 55.04/35.24 tff(35122,plain,
% 55.04/35.24 (~v114(constB169)),
% 55.04/35.24 inference(unit_resolution,[status(thm)],[35121, 1049, 35115])).
% 55.04/35.24 tff(35123,plain,
% 55.04/35.24 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB169) | (~v115(constB169)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB169) | (~v115(constB169)))),
% 55.04/35.24 inference(rewrite,[status(thm)],[])).
% 55.04/35.24 tff(35124,plain,
% 55.04/35.24 (((~v115(constB169)) | v114(constB169)) <=> (v114(constB169) | (~v115(constB169)))),
% 55.04/35.24 inference(rewrite,[status(thm)],[])).
% 55.04/35.24 tff(35125,plain,
% 55.04/35.24 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB169)) | v114(constB169))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB169) | (~v115(constB169))))),
% 55.04/35.24 inference(monotonicity,[status(thm)],[35124])).
% 55.04/35.24 tff(35126,plain,
% 55.04/35.24 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB169)) | v114(constB169))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB169) | (~v115(constB169)))),
% 55.04/35.24 inference(transitivity,[status(thm)],[35125, 35123])).
% 55.04/35.24 tff(35127,plain,
% 55.04/35.24 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB169)) | v114(constB169))),
% 55.04/35.24 inference(quant_inst,[status(thm)],[])).
% 55.04/35.24 tff(35128,plain,
% 55.04/35.24 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB169) | (~v115(constB169))),
% 55.04/35.24 inference(modus_ponens,[status(thm)],[35127, 35126])).
% 55.04/35.24 tff(35129,plain,
% 55.04/35.24 (~v115(constB169)),
% 55.04/35.24 inference(unit_resolution,[status(thm)],[35128, 1035, 35122])).
% 55.04/35.24 tff(35130,plain,
% 55.04/35.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB169, 2)) | (~nextState(constB169, constB170)) | v100(constB170) | v90(constB170, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB169, 2)) | (~nextState(constB169, constB170)) | v100(constB170) | v90(constB170, 2))),
% 55.04/35.24 inference(rewrite,[status(thm)],[])).
% 55.04/35.24 tff(35131,plain,
% 55.04/35.24 (((~nextState(constB169, constB170)) | (~v90(constB169, 2)) | v100(constB170) | v90(constB170, 2)) <=> ((~v90(constB169, 2)) | (~nextState(constB169, constB170)) | v100(constB170) | v90(constB170, 2))),
% 55.04/35.24 inference(rewrite,[status(thm)],[])).
% 55.04/35.24 tff(35132,plain,
% 55.04/35.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB169, constB170)) | (~v90(constB169, 2)) | v100(constB170) | v90(constB170, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB169, 2)) | (~nextState(constB169, constB170)) | v100(constB170) | v90(constB170, 2)))),
% 55.04/35.24 inference(monotonicity,[status(thm)],[35131])).
% 55.04/35.24 tff(35133,plain,
% 55.04/35.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB169, constB170)) | (~v90(constB169, 2)) | v100(constB170) | v90(constB170, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB169, 2)) | (~nextState(constB169, constB170)) | v100(constB170) | v90(constB170, 2))),
% 55.04/35.24 inference(transitivity,[status(thm)],[35132, 35130])).
% 55.04/35.24 tff(35134,plain,
% 55.04/35.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB169, constB170)) | (~v90(constB169, 2)) | v100(constB170) | v90(constB170, 2))),
% 55.04/35.24 inference(quant_inst,[status(thm)],[])).
% 55.04/35.24 tff(35135,plain,
% 55.04/35.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB169, 2)) | (~nextState(constB169, constB170)) | v100(constB170) | v90(constB170, 2)),
% 55.04/35.24 inference(modus_ponens,[status(thm)],[35134, 35133])).
% 55.04/35.24 tff(35136,plain,
% 55.04/35.24 ((~v90(constB169, 2)) | v100(constB170) | v90(constB170, 2)),
% 55.04/35.24 inference(unit_resolution,[status(thm)],[35135, 2174, 31711])).
% 55.04/35.24 tff(35137,plain,
% 55.04/35.24 (~v90(constB169, 2)),
% 55.04/35.24 inference(unit_resolution,[status(thm)],[35136, 35104, 35102])).
% 55.04/35.24 tff(35138,plain,
% 55.04/35.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB169, 1)) | (~nextState(constB169, constB170)) | v100(constB170) | v90(constB170, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB169, 1)) | (~nextState(constB169, constB170)) | v100(constB170) | v90(constB170, 1))),
% 55.04/35.24 inference(rewrite,[status(thm)],[])).
% 55.04/35.24 tff(35139,plain,
% 55.04/35.24 (((~nextState(constB169, constB170)) | (~v90(constB169, 1)) | v100(constB170) | v90(constB170, 1)) <=> ((~v90(constB169, 1)) | (~nextState(constB169, constB170)) | v100(constB170) | v90(constB170, 1))),
% 55.04/35.24 inference(rewrite,[status(thm)],[])).
% 55.04/35.24 tff(35140,plain,
% 55.04/35.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB169, constB170)) | (~v90(constB169, 1)) | v100(constB170) | v90(constB170, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB169, 1)) | (~nextState(constB169, constB170)) | v100(constB170) | v90(constB170, 1)))),
% 55.04/35.24 inference(monotonicity,[status(thm)],[35139])).
% 55.04/35.24 tff(35141,plain,
% 55.04/35.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB169, constB170)) | (~v90(constB169, 1)) | v100(constB170) | v90(constB170, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB169, 1)) | (~nextState(constB169, constB170)) | v100(constB170) | v90(constB170, 1))),
% 55.04/35.24 inference(transitivity,[status(thm)],[35140, 35138])).
% 55.04/35.24 tff(35142,plain,
% 55.04/35.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB169, constB170)) | (~v90(constB169, 1)) | v100(constB170) | v90(constB170, 1))),
% 55.04/35.24 inference(quant_inst,[status(thm)],[])).
% 55.04/35.24 tff(35143,plain,
% 55.04/35.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB169, 1)) | (~nextState(constB169, constB170)) | v100(constB170) | v90(constB170, 1)),
% 55.04/35.24 inference(modus_ponens,[status(thm)],[35142, 35141])).
% 55.04/35.24 tff(35144,plain,
% 55.04/35.24 ((~v90(constB169, 1)) | v100(constB170) | v90(constB170, 1)),
% 55.04/35.24 inference(unit_resolution,[status(thm)],[35143, 1641, 31711])).
% 55.04/35.24 tff(35145,plain,
% 55.04/35.24 (~v90(constB169, 1)),
% 55.04/35.24 inference(unit_resolution,[status(thm)],[35144, 35104, 35101])).
% 55.04/35.24 tff(35146,plain,
% 55.04/35.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB169, 0)) | (~nextState(constB169, constB170)) | v100(constB170) | v90(constB170, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB169, 0)) | (~nextState(constB169, constB170)) | v100(constB170) | v90(constB170, 0))),
% 55.04/35.24 inference(rewrite,[status(thm)],[])).
% 55.04/35.24 tff(35147,plain,
% 55.04/35.24 (((~nextState(constB169, constB170)) | (~v90(constB169, 0)) | v100(constB170) | v90(constB170, 0)) <=> ((~v90(constB169, 0)) | (~nextState(constB169, constB170)) | v100(constB170) | v90(constB170, 0))),
% 55.04/35.24 inference(rewrite,[status(thm)],[])).
% 55.04/35.24 tff(35148,plain,
% 55.04/35.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB169, constB170)) | (~v90(constB169, 0)) | v100(constB170) | v90(constB170, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB169, 0)) | (~nextState(constB169, constB170)) | v100(constB170) | v90(constB170, 0)))),
% 55.04/35.24 inference(monotonicity,[status(thm)],[35147])).
% 55.04/35.25 tff(35149,plain,
% 55.04/35.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB169, constB170)) | (~v90(constB169, 0)) | v100(constB170) | v90(constB170, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB169, 0)) | (~nextState(constB169, constB170)) | v100(constB170) | v90(constB170, 0))),
% 55.04/35.25 inference(transitivity,[status(thm)],[35148, 35146])).
% 55.04/35.25 tff(35150,plain,
% 55.04/35.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB169, constB170)) | (~v90(constB169, 0)) | v100(constB170) | v90(constB170, 0))),
% 55.04/35.25 inference(quant_inst,[status(thm)],[])).
% 55.04/35.25 tff(35151,plain,
% 55.04/35.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB169, 0)) | (~nextState(constB169, constB170)) | v100(constB170) | v90(constB170, 0)),
% 55.04/35.25 inference(modus_ponens,[status(thm)],[35150, 35149])).
% 55.04/35.25 tff(35152,plain,
% 55.04/35.25 ((~v90(constB169, 0)) | v100(constB170) | v90(constB170, 0)),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[35151, 1395, 31711])).
% 55.04/35.25 tff(35153,plain,
% 55.04/35.25 (~v90(constB169, 0)),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[35152, 35104, 35103])).
% 55.04/35.25 tff(35154,plain,
% 55.04/35.25 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB169, 0) | v90(constB169, 1) | v90(constB169, 2) | v119(constB169))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB169, 0) | v90(constB169, 1) | v90(constB169, 2) | v119(constB169))),
% 55.04/35.25 inference(rewrite,[status(thm)],[])).
% 55.04/35.25 tff(35155,plain,
% 55.04/35.25 ((v90(constB169, 0) | v119(constB169) | v90(constB169, 1) | v90(constB169, 2)) <=> (v90(constB169, 0) | v90(constB169, 1) | v90(constB169, 2) | v119(constB169))),
% 55.04/35.25 inference(rewrite,[status(thm)],[])).
% 55.04/35.25 tff(35156,plain,
% 55.04/35.25 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB169, 0) | v119(constB169) | v90(constB169, 1) | v90(constB169, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB169, 0) | v90(constB169, 1) | v90(constB169, 2) | v119(constB169)))),
% 55.04/35.25 inference(monotonicity,[status(thm)],[35155])).
% 55.04/35.25 tff(35157,plain,
% 55.04/35.25 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB169, 0) | v119(constB169) | v90(constB169, 1) | v90(constB169, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB169, 0) | v90(constB169, 1) | v90(constB169, 2) | v119(constB169))),
% 55.04/35.25 inference(transitivity,[status(thm)],[35156, 35154])).
% 55.04/35.25 tff(35158,plain,
% 55.04/35.25 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB169, 0) | v119(constB169) | v90(constB169, 1) | v90(constB169, 2))),
% 55.04/35.25 inference(quant_inst,[status(thm)],[])).
% 55.04/35.25 tff(35159,plain,
% 55.04/35.25 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB169, 0) | v90(constB169, 1) | v90(constB169, 2) | v119(constB169)),
% 55.04/35.25 inference(modus_ponens,[status(thm)],[35158, 35157])).
% 55.04/35.25 tff(35160,plain,
% 55.04/35.25 (v119(constB169)),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[35159, 968, 35153, 35145, 35137])).
% 55.04/35.25 tff(35161,plain,
% 55.04/35.25 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB169)) | v118(constB169))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB169)) | v118(constB169))),
% 55.04/35.25 inference(rewrite,[status(thm)],[])).
% 55.04/35.25 tff(35162,plain,
% 55.04/35.25 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | ((~v119(constB169)) | v118(constB169))),
% 55.04/35.25 inference(quant_inst,[status(thm)],[])).
% 55.04/35.25 tff(35163,plain,
% 55.04/35.25 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v118(VarCurr))) | (~v119(constB169)) | v118(constB169)),
% 55.04/35.25 inference(modus_ponens,[status(thm)],[35162, 35161])).
% 55.04/35.25 tff(35164,plain,
% 55.04/35.25 (v118(constB169)),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[35163, 982, 35160])).
% 55.04/35.25 tff(35165,plain,
% 55.04/35.25 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB169) | (~v118(constB169)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB169) | (~v118(constB169)))),
% 55.04/35.25 inference(rewrite,[status(thm)],[])).
% 55.04/35.25 tff(35166,plain,
% 55.04/35.25 (((~v118(constB169)) | v117(constB169)) <=> (v117(constB169) | (~v118(constB169)))),
% 55.04/35.25 inference(rewrite,[status(thm)],[])).
% 55.04/35.25 tff(35167,plain,
% 55.04/35.25 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB169)) | v117(constB169))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB169) | (~v118(constB169))))),
% 55.04/35.25 inference(monotonicity,[status(thm)],[35166])).
% 55.04/35.25 tff(35168,plain,
% 55.04/35.25 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB169)) | v117(constB169))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB169) | (~v118(constB169)))),
% 55.04/35.25 inference(transitivity,[status(thm)],[35167, 35165])).
% 55.04/35.25 tff(35169,plain,
% 55.04/35.25 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB169)) | v117(constB169))),
% 55.04/35.25 inference(quant_inst,[status(thm)],[])).
% 55.04/35.25 tff(35170,plain,
% 55.04/35.25 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB169) | (~v118(constB169))),
% 55.04/35.25 inference(modus_ponens,[status(thm)],[35169, 35168])).
% 55.04/35.25 tff(35171,plain,
% 55.04/35.25 (v117(constB169)),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[35170, 993, 35164])).
% 55.04/35.25 tff(35172,plain,
% 55.04/35.25 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB169) | (~v117(constB169)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB169) | (~v117(constB169)))),
% 55.04/35.25 inference(rewrite,[status(thm)],[])).
% 55.04/35.25 tff(35173,plain,
% 55.04/35.25 (((~v117(constB169)) | v116(constB169)) <=> (v116(constB169) | (~v117(constB169)))),
% 55.04/35.25 inference(rewrite,[status(thm)],[])).
% 55.04/35.25 tff(35174,plain,
% 55.04/35.25 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB169)) | v116(constB169))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB169) | (~v117(constB169))))),
% 55.04/35.25 inference(monotonicity,[status(thm)],[35173])).
% 55.04/35.25 tff(35175,plain,
% 55.04/35.25 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB169)) | v116(constB169))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB169) | (~v117(constB169)))),
% 55.04/35.25 inference(transitivity,[status(thm)],[35174, 35172])).
% 55.04/35.25 tff(35176,plain,
% 55.04/35.25 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB169)) | v116(constB169))),
% 55.04/35.25 inference(quant_inst,[status(thm)],[])).
% 55.04/35.25 tff(35177,plain,
% 55.04/35.25 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB169) | (~v117(constB169))),
% 55.04/35.25 inference(modus_ponens,[status(thm)],[35176, 35175])).
% 55.04/35.25 tff(35178,plain,
% 55.04/35.25 (v116(constB169)),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[35177, 1007, 35171])).
% 55.04/35.25 tff(35179,plain,
% 55.04/35.25 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB169) | (~v116(constB169)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB169) | (~v116(constB169)))),
% 55.04/35.25 inference(rewrite,[status(thm)],[])).
% 55.04/35.25 tff(35180,plain,
% 55.04/35.25 (((~v116(constB169)) | v115(constB169)) <=> (v115(constB169) | (~v116(constB169)))),
% 55.04/35.25 inference(rewrite,[status(thm)],[])).
% 55.04/35.25 tff(35181,plain,
% 55.04/35.25 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB169)) | v115(constB169))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB169) | (~v116(constB169))))),
% 55.04/35.25 inference(monotonicity,[status(thm)],[35180])).
% 55.04/35.25 tff(35182,plain,
% 55.04/35.25 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB169)) | v115(constB169))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB169) | (~v116(constB169)))),
% 55.04/35.25 inference(transitivity,[status(thm)],[35181, 35179])).
% 55.04/35.25 tff(35183,plain,
% 55.04/35.25 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB169)) | v115(constB169))),
% 55.04/35.25 inference(quant_inst,[status(thm)],[])).
% 55.04/35.25 tff(35184,plain,
% 55.04/35.25 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB169) | (~v116(constB169))),
% 55.04/35.25 inference(modus_ponens,[status(thm)],[35183, 35182])).
% 55.04/35.25 tff(35185,plain,
% 55.04/35.25 ($false),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[35184, 1021, 35178, 35129])).
% 55.04/35.25 tff(35186,plain,(v100(constB170) | v90(constB170, 0) | v90(constB170, 2) | v90(constB170, 1)), inference(lemma,lemma(discharge,[]))).
% 55.04/35.25 tff(35187,plain,
% 55.04/35.25 (v100(constB170)),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[35186, 35103, 35102, 35101])).
% 55.04/35.25 tff(35188,plain,
% 55.04/35.25 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB170, 2) | (~v129(constB170, 2)) | (~v100(constB170)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB170, 2) | (~v129(constB170, 2)) | (~v100(constB170)))),
% 55.04/35.25 inference(rewrite,[status(thm)],[])).
% 55.04/35.25 tff(35189,plain,
% 55.04/35.25 ((v90(constB170, 2) | (~v100(constB170)) | (~v129(constB170, 2))) <=> (v90(constB170, 2) | (~v129(constB170, 2)) | (~v100(constB170)))),
% 55.04/35.25 inference(rewrite,[status(thm)],[])).
% 55.04/35.25 tff(35190,plain,
% 55.04/35.25 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB170, 2) | (~v100(constB170)) | (~v129(constB170, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB170, 2) | (~v129(constB170, 2)) | (~v100(constB170))))),
% 55.04/35.25 inference(monotonicity,[status(thm)],[35189])).
% 55.04/35.25 tff(35191,plain,
% 55.04/35.25 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB170, 2) | (~v100(constB170)) | (~v129(constB170, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB170, 2) | (~v129(constB170, 2)) | (~v100(constB170)))),
% 55.04/35.25 inference(transitivity,[status(thm)],[35190, 35188])).
% 55.04/35.25 tff(35192,plain,
% 55.04/35.25 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB170, 2) | (~v100(constB170)) | (~v129(constB170, 2)))),
% 55.04/35.25 inference(quant_inst,[status(thm)],[])).
% 55.04/35.25 tff(35193,plain,
% 55.04/35.25 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB170, 2) | (~v129(constB170, 2)) | (~v100(constB170))),
% 55.04/35.25 inference(modus_ponens,[status(thm)],[35192, 35191])).
% 55.04/35.25 tff(35194,plain,
% 55.04/35.25 ((~v129(constB170, 2)) | (~v100(constB170))),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[35193, 2324, 35102])).
% 55.04/35.25 tff(35195,plain,
% 55.04/35.25 (~v129(constB170, 2)),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[35194, 35187])).
% 55.04/35.25 tff(35196,plain,
% 55.04/35.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB169, constB170)) | (~v127(constB169, 2)) | v129(constB170, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB169, constB170)) | (~v127(constB169, 2)) | v129(constB170, 2))),
% 55.04/35.25 inference(rewrite,[status(thm)],[])).
% 55.04/35.25 tff(35197,plain,
% 55.04/35.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB169, constB170)) | (~v127(constB169, 2)) | v129(constB170, 2))),
% 55.04/35.25 inference(quant_inst,[status(thm)],[])).
% 55.04/35.25 tff(35198,plain,
% 55.04/35.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB169, constB170)) | (~v127(constB169, 2)) | v129(constB170, 2)),
% 55.04/35.25 inference(modus_ponens,[status(thm)],[35197, 35196])).
% 55.04/35.25 tff(35199,plain,
% 55.04/35.25 ((~v127(constB169, 2)) | v129(constB170, 2)),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[35198, 1999, 31711])).
% 55.04/35.25 tff(35200,plain,
% 55.04/35.25 (~v127(constB169, 2)),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[35199, 35195])).
% 55.04/35.25 tff(35201,plain,
% 55.04/35.25 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB169) | (~v130(constB169, 2)) | v127(constB169, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB169) | (~v130(constB169, 2)) | v127(constB169, 2))),
% 55.04/35.25 inference(rewrite,[status(thm)],[])).
% 55.04/35.25 tff(35202,plain,
% 55.04/35.25 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB169) | (~v130(constB169, 2)) | v127(constB169, 2))),
% 55.04/35.25 inference(quant_inst,[status(thm)],[])).
% 55.04/35.25 tff(35203,plain,
% 55.04/35.25 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB169) | (~v130(constB169, 2)) | v127(constB169, 2)),
% 55.04/35.25 inference(modus_ponens,[status(thm)],[35202, 35201])).
% 55.04/35.25 tff(35204,plain,
% 55.04/35.25 ((~v130(constB169, 2)) | v127(constB169, 2)),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[35203, 1981, 31696])).
% 55.04/35.25 tff(35205,plain,
% 55.04/35.25 (~v130(constB169, 2)),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[35204, 35200])).
% 55.04/35.25 tff(35206,plain,
% 55.04/35.25 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB169)) | v130(constB169, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB169)) | v130(constB169, 2))),
% 55.04/35.25 inference(rewrite,[status(thm)],[])).
% 55.04/35.25 tff(35207,plain,
% 55.04/35.25 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB169)) | v130(constB169, 2))),
% 55.04/35.25 inference(quant_inst,[status(thm)],[])).
% 55.04/35.25 tff(35208,plain,
% 55.04/35.25 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB169)) | v130(constB169, 2)),
% 55.04/35.25 inference(modus_ponens,[status(thm)],[35207, 35206])).
% 55.04/35.25 tff(35209,plain,
% 55.04/35.25 (~v123(constB169)),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[35208, 2525, 35205])).
% 55.04/35.25 tff(35210,plain,
% 55.04/35.25 (~v129(constB170, 0)),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[31877, 1377, 35187, 35103])).
% 55.04/35.25 tff(35211,plain,
% 55.04/35.25 (~v127(constB169, 0)),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[31870, 35210])).
% 55.04/35.25 tff(35212,plain,
% 55.04/35.25 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB170, 1) | (~v129(constB170, 1)) | (~v100(constB170)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB170, 1) | (~v129(constB170, 1)) | (~v100(constB170)))),
% 55.04/35.25 inference(rewrite,[status(thm)],[])).
% 55.04/35.25 tff(35213,plain,
% 55.04/35.25 ((v90(constB170, 1) | (~v100(constB170)) | (~v129(constB170, 1))) <=> (v90(constB170, 1) | (~v129(constB170, 1)) | (~v100(constB170)))),
% 55.04/35.25 inference(rewrite,[status(thm)],[])).
% 55.04/35.25 tff(35214,plain,
% 55.04/35.25 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB170, 1) | (~v100(constB170)) | (~v129(constB170, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB170, 1) | (~v129(constB170, 1)) | (~v100(constB170))))),
% 55.04/35.25 inference(monotonicity,[status(thm)],[35213])).
% 55.04/35.25 tff(35215,plain,
% 55.04/35.25 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB170, 1) | (~v100(constB170)) | (~v129(constB170, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB170, 1) | (~v129(constB170, 1)) | (~v100(constB170)))),
% 55.04/35.25 inference(transitivity,[status(thm)],[35214, 35212])).
% 55.04/35.25 tff(35216,plain,
% 55.04/35.25 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB170, 1) | (~v100(constB170)) | (~v129(constB170, 1)))),
% 55.04/35.25 inference(quant_inst,[status(thm)],[])).
% 55.04/35.25 tff(35217,plain,
% 55.04/35.25 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB170, 1) | (~v129(constB170, 1)) | (~v100(constB170))),
% 55.04/35.25 inference(modus_ponens,[status(thm)],[35216, 35215])).
% 55.04/35.25 tff(35218,plain,
% 55.04/35.25 ((~v129(constB170, 1)) | (~v100(constB170))),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[35217, 1623, 35101])).
% 55.04/35.25 tff(35219,plain,
% 55.04/35.25 (~v129(constB170, 1)),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[35218, 35187])).
% 55.04/35.25 tff(35220,plain,
% 55.04/35.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB169, constB170)) | (~v127(constB169, 1)) | v129(constB170, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB169, constB170)) | (~v127(constB169, 1)) | v129(constB170, 1))),
% 55.04/35.25 inference(rewrite,[status(thm)],[])).
% 55.04/35.25 tff(35221,plain,
% 55.04/35.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB169, constB170)) | (~v127(constB169, 1)) | v129(constB170, 1))),
% 55.04/35.25 inference(quant_inst,[status(thm)],[])).
% 55.04/35.25 tff(35222,plain,
% 55.04/35.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB169, constB170)) | (~v127(constB169, 1)) | v129(constB170, 1)),
% 55.04/35.25 inference(modus_ponens,[status(thm)],[35221, 35220])).
% 55.04/35.25 tff(35223,plain,
% 55.04/35.25 ((~v127(constB169, 1)) | v129(constB170, 1)),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[35222, 1608, 31711])).
% 55.04/35.25 tff(35224,plain,
% 55.04/35.25 (~v127(constB169, 1)),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[35223, 35219])).
% 55.04/35.25 tff(35225,plain,
% 55.04/35.25 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB169) | (~v130(constB169, 1)) | v127(constB169, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB169) | (~v130(constB169, 1)) | v127(constB169, 1))),
% 55.04/35.25 inference(rewrite,[status(thm)],[])).
% 55.04/35.25 tff(35226,plain,
% 55.04/35.25 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB169) | (~v130(constB169, 1)) | v127(constB169, 1))),
% 55.04/35.25 inference(quant_inst,[status(thm)],[])).
% 55.04/35.25 tff(35227,plain,
% 55.04/35.25 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB169) | (~v130(constB169, 1)) | v127(constB169, 1)),
% 55.04/35.25 inference(modus_ponens,[status(thm)],[35226, 35225])).
% 55.04/35.25 tff(35228,plain,
% 55.04/35.25 ((~v130(constB169, 1)) | v127(constB169, 1)),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[35227, 1593, 31696])).
% 55.04/35.25 tff(35229,plain,
% 55.04/35.25 (~v130(constB169, 1)),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[35228, 35224])).
% 55.04/35.25 tff(35230,plain,
% 55.04/35.25 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB169)) | v130(constB169, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB169)) | v130(constB169, 1))),
% 55.04/35.25 inference(rewrite,[status(thm)],[])).
% 55.04/35.25 tff(35231,plain,
% 55.04/35.25 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB169)) | v130(constB169, 1))),
% 55.04/35.25 inference(quant_inst,[status(thm)],[])).
% 55.04/35.25 tff(35232,plain,
% 55.04/35.25 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB169)) | v130(constB169, 1)),
% 55.04/35.25 inference(modus_ponens,[status(thm)],[35231, 35230])).
% 55.04/35.25 tff(35233,plain,
% 55.04/35.25 (~v121(constB169)),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[35232, 1877, 35229])).
% 55.04/35.25 tff(35234,plain,
% 55.04/35.25 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB169)) | v130(constB169, 1))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB169)) | v130(constB169, 1))),
% 55.04/35.25 inference(rewrite,[status(thm)],[])).
% 55.04/35.25 tff(35235,plain,
% 55.04/35.25 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | ((~v124(constB169)) | v130(constB169, 1))),
% 55.04/35.25 inference(quant_inst,[status(thm)],[])).
% 55.04/35.25 tff(35236,plain,
% 55.04/35.25 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 1))) | (~v124(constB169)) | v130(constB169, 1)),
% 55.04/35.25 inference(modus_ponens,[status(thm)],[35235, 35234])).
% 55.04/35.25 tff(35237,plain,
% 55.04/35.25 (~v124(constB169)),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[35236, 2808, 35229])).
% 55.04/35.25 tff(35238,plain,
% 55.04/35.25 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB169)) | v130(constB169, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB169)) | v130(constB169, 2))),
% 55.04/35.25 inference(rewrite,[status(thm)],[])).
% 55.04/35.25 tff(35239,plain,
% 55.04/35.25 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB169)) | v130(constB169, 2))),
% 55.04/35.25 inference(quant_inst,[status(thm)],[])).
% 55.04/35.25 tff(35240,plain,
% 55.04/35.25 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB169)) | v130(constB169, 2)),
% 55.04/35.25 inference(modus_ponens,[status(thm)],[35239, 35238])).
% 55.04/35.25 tff(35241,plain,
% 55.04/35.25 (~v122(constB169)),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[35240, 1967, 35205])).
% 55.04/35.25 tff(35242,assumption,(~v26(constB169)), introduced(assumption)).
% 55.04/35.25 tff(35243,assumption,(~v127(constB169, 0)), introduced(assumption)).
% 55.04/35.25 tff(35244,plain,
% 55.04/35.25 (v26(constB169) | (~v130(constB169, 0))),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[31864, 1347, 35243])).
% 55.04/35.25 tff(35245,plain,
% 55.04/35.25 (~v130(constB169, 0)),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[35244, 35242])).
% 55.04/35.25 tff(35246,assumption,(~v127(constB169, 1)), introduced(assumption)).
% 55.04/35.25 tff(35247,plain,
% 55.04/35.25 (v26(constB169) | (~v130(constB169, 1))),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[35227, 1593, 35246])).
% 55.04/35.25 tff(35248,plain,
% 55.04/35.25 (~v130(constB169, 1)),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[35247, 35242])).
% 55.04/35.25 tff(35249,plain,
% 55.04/35.25 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB169)) | v130(constB169, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB169)) | v130(constB169, 1))),
% 55.04/35.25 inference(rewrite,[status(thm)],[])).
% 55.04/35.25 tff(35250,plain,
% 55.04/35.25 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB169)) | v130(constB169, 1))),
% 55.04/35.25 inference(quant_inst,[status(thm)],[])).
% 55.04/35.25 tff(35251,plain,
% 55.04/35.25 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB169)) | v130(constB169, 1)),
% 55.04/35.25 inference(modus_ponens,[status(thm)],[35250, 35249])).
% 55.04/35.25 tff(35252,plain,
% 55.04/35.25 (~v120(constB169)),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[35251, 1579, 35248])).
% 55.04/35.25 tff(35253,plain,
% 55.04/35.25 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB169)) | v130(constB169, 0))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB169)) | v130(constB169, 0))),
% 55.04/35.25 inference(rewrite,[status(thm)],[])).
% 55.04/35.25 tff(35254,plain,
% 55.04/35.25 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | ((~v119(constB169)) | v130(constB169, 0))),
% 55.04/35.25 inference(quant_inst,[status(thm)],[])).
% 55.04/35.25 tff(35255,plain,
% 55.04/35.25 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v130(VarCurr, 0))) | (~v119(constB169)) | v130(constB169, 0)),
% 55.04/35.25 inference(modus_ponens,[status(thm)],[35254, 35253])).
% 55.04/35.25 tff(35256,plain,
% 55.04/35.25 (~v119(constB169)),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[35255, 1333, 35245])).
% 55.04/35.25 tff(35257,assumption,(~v121(constB169)), introduced(assumption)).
% 55.04/35.25 tff(35258,plain,
% 55.04/35.25 (v119(constB169) | v120(constB169) | v123(constB169) | v124(constB169) | v130(constB169, 0)),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[31860, 3413, 34836, 35257])).
% 55.04/35.25 tff(35259,plain,
% 55.04/35.25 ($false),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[35258, 35256, 35252, 34839, 34837, 35245])).
% 55.04/35.25 tff(35260,plain,(v26(constB169) | v123(constB169) | v124(constB169) | v122(constB169) | v121(constB169) | v127(constB169, 0) | v127(constB169, 1)), inference(lemma,lemma(discharge,[]))).
% 55.04/35.25 tff(35261,plain,
% 55.04/35.25 ($false),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[35260, 35241, 35237, 31696, 35224, 35233, 35211, 35209])).
% 55.04/35.25 tff(35262,plain,(v90(constB170, 0) | v90(constB170, 2) | v90(constB170, 1)), inference(lemma,lemma(discharge,[]))).
% 55.04/35.25 tff(35263,plain,
% 55.04/35.25 ($false),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[35262, 35100, 35082, 35080])).
% 55.04/35.25 tff(35264,plain,(v100(constB172) | v90(constB172, 1) | v90(constB172, 0) | v90(constB172, 2)), inference(lemma,lemma(discharge,[]))).
% 55.04/35.25 tff(35265,plain,
% 55.04/35.25 (v90(constB172, 1)),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[35264, 35054, 35063, 35035])).
% 55.04/35.25 tff(35266,assumption,(v90(constB172, 1)), introduced(assumption)).
% 55.04/35.25 tff(35267,plain,
% 55.04/35.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB171, 1) | (~nextState(constB171, constB172)) | v100(constB172) | (~v90(constB172, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB171, 1) | (~nextState(constB171, constB172)) | v100(constB172) | (~v90(constB172, 1)))),
% 55.04/35.25 inference(rewrite,[status(thm)],[])).
% 55.04/35.25 tff(35268,plain,
% 55.04/35.25 (((~nextState(constB171, constB172)) | v90(constB171, 1) | v100(constB172) | (~v90(constB172, 1))) <=> (v90(constB171, 1) | (~nextState(constB171, constB172)) | v100(constB172) | (~v90(constB172, 1)))),
% 55.04/35.25 inference(rewrite,[status(thm)],[])).
% 55.04/35.25 tff(35269,plain,
% 55.04/35.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB171, constB172)) | v90(constB171, 1) | v100(constB172) | (~v90(constB172, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB171, 1) | (~nextState(constB171, constB172)) | v100(constB172) | (~v90(constB172, 1))))),
% 55.04/35.25 inference(monotonicity,[status(thm)],[35268])).
% 55.04/35.25 tff(35270,plain,
% 55.04/35.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB171, constB172)) | v90(constB171, 1) | v100(constB172) | (~v90(constB172, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB171, 1) | (~nextState(constB171, constB172)) | v100(constB172) | (~v90(constB172, 1)))),
% 55.04/35.25 inference(transitivity,[status(thm)],[35269, 35267])).
% 55.04/35.25 tff(35271,plain,
% 55.04/35.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB171, constB172)) | v90(constB171, 1) | v100(constB172) | (~v90(constB172, 1)))),
% 55.04/35.25 inference(quant_inst,[status(thm)],[])).
% 55.04/35.25 tff(35272,plain,
% 55.04/35.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB171, 1) | (~nextState(constB171, constB172)) | v100(constB172) | (~v90(constB172, 1))),
% 55.04/35.25 inference(modus_ponens,[status(thm)],[35271, 35270])).
% 55.04/35.25 tff(35273,plain,
% 55.04/35.25 (v90(constB171, 1) | v100(constB172) | (~v90(constB172, 1))),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[35272, 926, 32114])).
% 55.04/35.25 tff(35274,plain,
% 55.04/35.25 (v90(constB171, 1)),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[35273, 35035, 35266])).
% 55.04/35.25 tff(35275,plain,
% 55.04/35.25 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB171, 0) | (~v90(constB171, 1)) | v90(constB171, 2) | v121(constB171))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB171, 0) | (~v90(constB171, 1)) | v90(constB171, 2) | v121(constB171))),
% 55.04/35.25 inference(rewrite,[status(thm)],[])).
% 55.04/35.25 tff(35276,plain,
% 55.04/35.25 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB171, 0) | (~v90(constB171, 1)) | v90(constB171, 2) | v121(constB171))),
% 55.04/35.25 inference(quant_inst,[status(thm)],[])).
% 55.04/35.25 tff(35277,plain,
% 55.04/35.25 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB171, 0) | (~v90(constB171, 1)) | v90(constB171, 2) | v121(constB171)),
% 55.04/35.25 inference(modus_ponens,[status(thm)],[35276, 35275])).
% 55.04/35.25 tff(35278,plain,
% 55.04/35.25 (v121(constB171)),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[35277, 1731, 35081, 35274, 35071])).
% 55.04/35.25 tff(35279,plain,
% 55.04/35.25 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB171)) | v117(constB171))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB171)) | v117(constB171))),
% 55.04/35.25 inference(rewrite,[status(thm)],[])).
% 55.04/35.25 tff(35280,plain,
% 55.04/35.25 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB171)) | v117(constB171))),
% 55.04/35.25 inference(quant_inst,[status(thm)],[])).
% 55.04/35.25 tff(35281,plain,
% 55.04/35.25 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB171)) | v117(constB171)),
% 55.04/35.25 inference(modus_ponens,[status(thm)],[35280, 35279])).
% 55.04/35.25 tff(35282,plain,
% 55.04/35.25 (v117(constB171)),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[35281, 1742, 35278])).
% 55.04/35.25 tff(35283,plain,
% 55.04/35.25 (v116(constB171)),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[34948, 1007, 35282])).
% 55.04/35.25 tff(35284,plain,
% 55.04/35.25 ($false),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[34941, 1021, 35042, 35283])).
% 55.04/35.25 tff(35285,plain,(v100(constB172) | v90(constB172, 0) | v90(constB172, 2) | (~v90(constB172, 1))), inference(lemma,lemma(discharge,[]))).
% 55.04/35.25 tff(35286,plain,
% 55.04/35.25 ($false),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[35285, 35265, 35054, 35063, 35035])).
% 55.04/35.25 tff(35287,plain,(v90(constB172, 0) | v90(constB172, 2) | v100(constB172)), inference(lemma,lemma(discharge,[]))).
% 55.04/35.25 tff(35288,plain,
% 55.04/35.25 (v90(constB172, 2)),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[35287, 35054, 35035])).
% 55.04/35.25 tff(35289,plain,
% 55.04/35.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB171, 2) | (~nextState(constB171, constB172)) | v100(constB172) | (~v90(constB172, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB171, 2) | (~nextState(constB171, constB172)) | v100(constB172) | (~v90(constB172, 2)))),
% 55.04/35.25 inference(rewrite,[status(thm)],[])).
% 55.04/35.25 tff(35290,plain,
% 55.04/35.25 (((~nextState(constB171, constB172)) | v90(constB171, 2) | v100(constB172) | (~v90(constB172, 2))) <=> (v90(constB171, 2) | (~nextState(constB171, constB172)) | v100(constB172) | (~v90(constB172, 2)))),
% 55.04/35.25 inference(rewrite,[status(thm)],[])).
% 55.04/35.25 tff(35291,plain,
% 55.04/35.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB171, constB172)) | v90(constB171, 2) | v100(constB172) | (~v90(constB172, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB171, 2) | (~nextState(constB171, constB172)) | v100(constB172) | (~v90(constB172, 2))))),
% 55.04/35.25 inference(monotonicity,[status(thm)],[35290])).
% 55.04/35.25 tff(35292,plain,
% 55.04/35.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB171, constB172)) | v90(constB171, 2) | v100(constB172) | (~v90(constB172, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB171, 2) | (~nextState(constB171, constB172)) | v100(constB172) | (~v90(constB172, 2)))),
% 55.04/35.25 inference(transitivity,[status(thm)],[35291, 35289])).
% 55.04/35.25 tff(35293,plain,
% 55.04/35.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB171, constB172)) | v90(constB171, 2) | v100(constB172) | (~v90(constB172, 2)))),
% 55.04/35.25 inference(quant_inst,[status(thm)],[])).
% 55.04/35.25 tff(35294,plain,
% 55.04/35.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB171, 2) | (~nextState(constB171, constB172)) | v100(constB172) | (~v90(constB172, 2))),
% 55.04/35.25 inference(modus_ponens,[status(thm)],[35293, 35292])).
% 55.04/35.25 tff(35295,plain,
% 55.04/35.25 (v90(constB171, 2) | v100(constB172) | (~v90(constB172, 2))),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[35294, 905, 32114])).
% 55.04/35.25 tff(35296,plain,
% 55.04/35.25 (v90(constB171, 2)),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[35295, 35288, 35035])).
% 55.04/35.25 tff(35297,assumption,(v90(constB171, 2)), introduced(assumption)).
% 55.04/35.25 tff(35298,assumption,(~v90(constB171, 0)), introduced(assumption)).
% 55.04/35.25 tff(35299,assumption,(~v125(constB171)), introduced(assumption)).
% 55.04/35.25 tff(35300,plain,
% 55.04/35.25 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB171, 0) | (~v90(constB171, 1)) | (~v90(constB171, 2)) | v125(constB171))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB171, 0) | (~v90(constB171, 1)) | (~v90(constB171, 2)) | v125(constB171))),
% 55.04/35.25 inference(rewrite,[status(thm)],[])).
% 55.04/35.25 tff(35301,plain,
% 55.04/35.25 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB171, 0) | (~v90(constB171, 1)) | (~v90(constB171, 2)) | v125(constB171))),
% 55.04/35.25 inference(quant_inst,[status(thm)],[])).
% 55.04/35.25 tff(35302,plain,
% 55.04/35.25 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB171, 0) | (~v90(constB171, 1)) | (~v90(constB171, 2)) | v125(constB171)),
% 55.04/35.25 inference(modus_ponens,[status(thm)],[35301, 35300])).
% 55.04/35.25 tff(35303,plain,
% 55.04/35.25 (v90(constB171, 0) | (~v90(constB171, 1)) | (~v90(constB171, 2))),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[35302, 2279, 35299])).
% 55.04/35.25 tff(35304,plain,
% 55.04/35.25 (~v90(constB171, 1)),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[35303, 35298, 35297])).
% 55.04/35.25 tff(35305,assumption,(~v123(constB171)), introduced(assumption)).
% 55.04/35.25 tff(35306,plain,
% 55.04/35.25 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB171, 0) | v90(constB171, 1) | (~v90(constB171, 2)) | v123(constB171))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB171, 0) | v90(constB171, 1) | (~v90(constB171, 2)) | v123(constB171))),
% 55.04/35.25 inference(rewrite,[status(thm)],[])).
% 55.04/35.25 tff(35307,plain,
% 55.04/35.25 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB171, 0) | v90(constB171, 1) | (~v90(constB171, 2)) | v123(constB171))),
% 55.04/35.25 inference(quant_inst,[status(thm)],[])).
% 55.04/35.25 tff(35308,plain,
% 55.04/35.25 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB171, 0) | v90(constB171, 1) | (~v90(constB171, 2)) | v123(constB171)),
% 55.04/35.25 inference(modus_ponens,[status(thm)],[35307, 35306])).
% 55.04/35.25 tff(35309,plain,
% 55.04/35.25 (v90(constB171, 0) | v90(constB171, 1) | (~v90(constB171, 2))),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[35308, 2308, 35305])).
% 55.04/35.25 tff(35310,plain,
% 55.04/35.25 ($false),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[35309, 35304, 35298, 35297])).
% 55.04/35.25 tff(35311,plain,(v90(constB171, 0) | (~v90(constB171, 2)) | v123(constB171) | v125(constB171)), inference(lemma,lemma(discharge,[]))).
% 55.04/35.25 tff(35312,plain,
% 55.04/35.25 ($false),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[35311, 35296, 35062, 35053, 35046])).
% 55.04/35.25 tff(35313,plain,(v90(constB172, 0) | v100(constB172)), inference(lemma,lemma(discharge,[]))).
% 55.04/35.25 tff(35314,plain,
% 55.04/35.25 (v100(constB172)),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[35313, 35034])).
% 55.04/35.25 tff(35315,assumption,(v120(constB171)), introduced(assumption)).
% 55.04/35.25 tff(35316,plain,
% 55.04/35.25 (~v130(constB171, 0)),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[34871, 1657, 35315])).
% 55.04/35.25 tff(35317,plain,
% 55.04/35.25 (~v127(constB171, 0)),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[34883, 35316])).
% 55.04/35.25 tff(35318,plain,
% 55.04/35.25 (~v90(constB172, 0)),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[35033, 35317])).
% 55.04/35.25 tff(35319,plain,
% 55.04/35.25 ((~v1(constB173)) <=> (~v1(constB173))),
% 55.04/35.25 inference(rewrite,[status(thm)],[])).
% 55.04/35.25 tff(35320,axiom,(~v1(constB173)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_173_1_1')).
% 55.04/35.25 tff(35321,plain,
% 55.04/35.25 (~v1(constB173)),
% 55.04/35.25 inference(modus_ponens,[status(thm)],[35320, 35319])).
% 55.04/35.25 tff(35322,plain,
% 55.04/35.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173)))),
% 55.04/35.25 inference(rewrite,[status(thm)],[])).
% 55.04/35.25 tff(35323,plain,
% 55.04/35.25 (((~nextState(constB172, constB173)) | (~v101(constB173)) | v1(constB173)) <=> (v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173)))),
% 55.04/35.25 inference(rewrite,[status(thm)],[])).
% 55.04/35.25 tff(35324,plain,
% 55.04/35.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB172, constB173)) | (~v101(constB173)) | v1(constB173))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173))))),
% 55.04/35.25 inference(monotonicity,[status(thm)],[35323])).
% 55.04/35.25 tff(35325,plain,
% 55.04/35.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB172, constB173)) | (~v101(constB173)) | v1(constB173))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173)))),
% 55.04/35.25 inference(transitivity,[status(thm)],[35324, 35322])).
% 55.04/35.25 tff(35326,plain,
% 55.04/35.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB172, constB173)) | (~v101(constB173)) | v1(constB173))),
% 55.04/35.25 inference(quant_inst,[status(thm)],[])).
% 55.04/35.25 tff(35327,plain,
% 55.04/35.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB173) | (~nextState(constB172, constB173)) | (~v101(constB173))),
% 55.04/35.25 inference(modus_ponens,[status(thm)],[35326, 35325])).
% 55.04/35.25 tff(35328,plain,
% 55.04/35.25 (~v101(constB173)),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[35327, 873, 32143, 35321])).
% 55.04/35.25 tff(35329,plain,
% 55.04/35.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB172, constB173)) | v101(constB173) | (~v100(constB173)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB172, constB173)) | v101(constB173) | (~v100(constB173)))),
% 55.04/35.25 inference(rewrite,[status(thm)],[])).
% 55.04/35.25 tff(35330,plain,
% 55.04/35.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB172, constB173)) | v101(constB173) | (~v100(constB173)))),
% 55.04/35.25 inference(quant_inst,[status(thm)],[])).
% 55.04/35.25 tff(35331,plain,
% 55.04/35.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB172, constB173)) | v101(constB173) | (~v100(constB173))),
% 55.04/35.25 inference(modus_ponens,[status(thm)],[35330, 35329])).
% 55.04/35.25 tff(35332,plain,
% 55.04/35.25 (v101(constB173) | (~v100(constB173))),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[35331, 890, 32143])).
% 55.04/35.25 tff(35333,plain,
% 55.04/35.25 (~v100(constB173)),
% 55.04/35.25 inference(unit_resolution,[status(thm)],[35332, 35328])).
% 55.04/35.25 tff(35334,plain,
% 55.04/35.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB172, 0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB172, 0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, 0)))),
% 55.04/35.25 inference(rewrite,[status(thm)],[])).
% 55.04/35.25 tff(35335,plain,
% 55.04/35.25 (((~nextState(constB172, constB173)) | v90(constB172, 0) | v100(constB173) | (~v90(constB173, 0))) <=> (v90(constB172, 0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, 0)))),
% 55.09/35.25 inference(rewrite,[status(thm)],[])).
% 55.09/35.25 tff(35336,plain,
% 55.09/35.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB172, constB173)) | v90(constB172, 0) | v100(constB173) | (~v90(constB173, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB172, 0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, 0))))),
% 55.09/35.25 inference(monotonicity,[status(thm)],[35335])).
% 55.09/35.25 tff(35337,plain,
% 55.09/35.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB172, constB173)) | v90(constB172, 0) | v100(constB173) | (~v90(constB173, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB172, 0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, 0)))),
% 55.09/35.25 inference(transitivity,[status(thm)],[35336, 35334])).
% 55.09/35.25 tff(35338,plain,
% 55.09/35.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB172, constB173)) | v90(constB172, 0) | v100(constB173) | (~v90(constB173, 0)))),
% 55.09/35.25 inference(quant_inst,[status(thm)],[])).
% 55.09/35.25 tff(35339,plain,
% 55.09/35.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB172, 0) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, 0))),
% 55.09/35.25 inference(modus_ponens,[status(thm)],[35338, 35337])).
% 55.09/35.25 tff(35340,plain,
% 55.09/35.25 (v90(constB172, 0) | v100(constB173) | (~v90(constB173, 0))),
% 55.09/35.25 inference(unit_resolution,[status(thm)],[35339, 947, 32143])).
% 55.09/35.25 tff(35341,plain,
% 55.09/35.25 (v90(constB172, 0) | (~v90(constB173, 0))),
% 55.09/35.25 inference(unit_resolution,[status(thm)],[35340, 35333])).
% 55.09/35.25 tff(35342,plain,
% 55.09/35.25 (~v90(constB173, 0)),
% 55.09/35.25 inference(unit_resolution,[status(thm)],[35341, 35318])).
% 55.09/35.25 tff(35343,plain,
% 55.09/35.25 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB171)) | v130(constB171, 1))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB171)) | v130(constB171, 1))),
% 55.09/35.25 inference(rewrite,[status(thm)],[])).
% 55.09/35.25 tff(35344,plain,
% 55.09/35.25 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | ((~v120(constB171)) | v130(constB171, 1))),
% 55.09/35.25 inference(quant_inst,[status(thm)],[])).
% 55.09/35.25 tff(35345,plain,
% 55.09/35.25 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v130(VarCurr, 1))) | (~v120(constB171)) | v130(constB171, 1)),
% 55.09/35.25 inference(modus_ponens,[status(thm)],[35344, 35343])).
% 55.09/35.25 tff(35346,plain,
% 55.09/35.25 (v130(constB171, 1)),
% 55.09/35.25 inference(unit_resolution,[status(thm)],[35345, 1579, 35315])).
% 55.09/35.25 tff(35347,plain,
% 55.09/35.25 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB171) | (~v130(constB171, 1)) | v127(constB171, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB171) | (~v130(constB171, 1)) | v127(constB171, 1))),
% 55.09/35.25 inference(rewrite,[status(thm)],[])).
% 55.09/35.25 tff(35348,plain,
% 55.09/35.25 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB171) | (~v130(constB171, 1)) | v127(constB171, 1))),
% 55.09/35.25 inference(quant_inst,[status(thm)],[])).
% 55.09/35.25 tff(35349,plain,
% 55.09/35.25 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB171) | (~v130(constB171, 1)) | v127(constB171, 1)),
% 55.09/35.25 inference(modus_ponens,[status(thm)],[35348, 35347])).
% 55.09/35.25 tff(35350,plain,
% 55.09/35.25 ((~v130(constB171, 1)) | v127(constB171, 1)),
% 55.09/35.25 inference(unit_resolution,[status(thm)],[35349, 1593, 34876])).
% 55.09/35.25 tff(35351,plain,
% 55.09/35.25 (v127(constB171, 1)),
% 55.09/35.25 inference(unit_resolution,[status(thm)],[35350, 35346])).
% 55.09/35.25 tff(35352,plain,
% 55.09/35.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB171, constB172)) | (~v127(constB171, 1)) | v129(constB172, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB171, constB172)) | (~v127(constB171, 1)) | v129(constB172, 1))),
% 55.09/35.25 inference(rewrite,[status(thm)],[])).
% 55.09/35.25 tff(35353,plain,
% 55.09/35.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB171, constB172)) | (~v127(constB171, 1)) | v129(constB172, 1))),
% 55.09/35.25 inference(quant_inst,[status(thm)],[])).
% 55.09/35.25 tff(35354,plain,
% 55.09/35.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB171, constB172)) | (~v127(constB171, 1)) | v129(constB172, 1)),
% 55.09/35.25 inference(modus_ponens,[status(thm)],[35353, 35352])).
% 55.09/35.25 tff(35355,plain,
% 55.09/35.25 ((~v127(constB171, 1)) | v129(constB172, 1)),
% 55.09/35.25 inference(unit_resolution,[status(thm)],[35354, 1608, 32114])).
% 55.09/35.25 tff(35356,plain,
% 55.09/35.25 (v129(constB172, 1)),
% 55.09/35.25 inference(unit_resolution,[status(thm)],[35355, 35351])).
% 55.09/35.25 tff(35357,assumption,(v100(constB172)), introduced(assumption)).
% 55.09/35.25 tff(35358,plain,
% 55.09/35.25 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB172, 1) | (~v129(constB172, 1)) | (~v100(constB172)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB172, 1) | (~v129(constB172, 1)) | (~v100(constB172)))),
% 55.09/35.25 inference(rewrite,[status(thm)],[])).
% 55.09/35.25 tff(35359,plain,
% 55.09/35.25 ((v90(constB172, 1) | (~v100(constB172)) | (~v129(constB172, 1))) <=> (v90(constB172, 1) | (~v129(constB172, 1)) | (~v100(constB172)))),
% 55.09/35.25 inference(rewrite,[status(thm)],[])).
% 55.09/35.25 tff(35360,plain,
% 55.09/35.25 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB172, 1) | (~v100(constB172)) | (~v129(constB172, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB172, 1) | (~v129(constB172, 1)) | (~v100(constB172))))),
% 55.09/35.25 inference(monotonicity,[status(thm)],[35359])).
% 55.09/35.25 tff(35361,plain,
% 55.09/35.25 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB172, 1) | (~v100(constB172)) | (~v129(constB172, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB172, 1) | (~v129(constB172, 1)) | (~v100(constB172)))),
% 55.09/35.25 inference(transitivity,[status(thm)],[35360, 35358])).
% 55.09/35.25 tff(35362,plain,
% 55.09/35.25 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB172, 1) | (~v100(constB172)) | (~v129(constB172, 1)))),
% 55.09/35.25 inference(quant_inst,[status(thm)],[])).
% 55.09/35.25 tff(35363,plain,
% 55.09/35.25 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB172, 1) | (~v129(constB172, 1)) | (~v100(constB172))),
% 55.09/35.25 inference(modus_ponens,[status(thm)],[35362, 35361])).
% 55.09/35.25 tff(35364,plain,
% 55.09/35.25 (v90(constB172, 1) | (~v129(constB172, 1))),
% 55.09/35.25 inference(unit_resolution,[status(thm)],[35363, 1623, 35357])).
% 55.09/35.25 tff(35365,plain,
% 55.09/35.25 (v90(constB172, 1)),
% 55.09/35.25 inference(unit_resolution,[status(thm)],[35364, 35356])).
% 55.09/35.25 tff(35366,plain,
% 55.09/35.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB172, 1)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB172, 1)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, 1))),
% 55.09/35.25 inference(rewrite,[status(thm)],[])).
% 55.09/35.25 tff(35367,plain,
% 55.09/35.25 (((~nextState(constB172, constB173)) | (~v90(constB172, 1)) | v100(constB173) | v90(constB173, 1)) <=> ((~v90(constB172, 1)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, 1))),
% 55.09/35.26 inference(rewrite,[status(thm)],[])).
% 55.09/35.26 tff(35368,plain,
% 55.09/35.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB172, constB173)) | (~v90(constB172, 1)) | v100(constB173) | v90(constB173, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB172, 1)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, 1)))),
% 55.09/35.26 inference(monotonicity,[status(thm)],[35367])).
% 55.09/35.26 tff(35369,plain,
% 55.09/35.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB172, constB173)) | (~v90(constB172, 1)) | v100(constB173) | v90(constB173, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB172, 1)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, 1))),
% 55.09/35.26 inference(transitivity,[status(thm)],[35368, 35366])).
% 55.09/35.26 tff(35370,plain,
% 55.09/35.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB172, constB173)) | (~v90(constB172, 1)) | v100(constB173) | v90(constB173, 1))),
% 55.09/35.26 inference(quant_inst,[status(thm)],[])).
% 55.09/35.26 tff(35371,plain,
% 55.09/35.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB172, 1)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, 1)),
% 55.09/35.26 inference(modus_ponens,[status(thm)],[35370, 35369])).
% 55.09/35.26 tff(35372,plain,
% 55.09/35.26 ((~v90(constB172, 1)) | v100(constB173) | v90(constB173, 1)),
% 55.09/35.26 inference(unit_resolution,[status(thm)],[35371, 1641, 32143])).
% 55.09/35.26 tff(35373,plain,
% 55.09/35.26 ((~v90(constB172, 1)) | v90(constB173, 1)),
% 55.09/35.26 inference(unit_resolution,[status(thm)],[35372, 35333])).
% 55.09/35.26 tff(35374,plain,
% 55.09/35.26 (v90(constB173, 1)),
% 55.09/35.26 inference(unit_resolution,[status(thm)],[35373, 35365])).
% 55.09/35.26 tff(35375,plain,
% 55.09/35.26 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB171)) | (~v130(constB171, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB171)) | (~v130(constB171, 2)))),
% 55.09/35.26 inference(rewrite,[status(thm)],[])).
% 55.09/35.26 tff(35376,plain,
% 55.09/35.26 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB171)) | (~v130(constB171, 2)))),
% 55.09/35.26 inference(quant_inst,[status(thm)],[])).
% 55.09/35.26 tff(35377,plain,
% 55.09/35.26 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB171)) | (~v130(constB171, 2))),
% 55.09/35.26 inference(modus_ponens,[status(thm)],[35376, 35375])).
% 55.09/35.26 tff(35378,plain,
% 55.09/35.26 (~v130(constB171, 2)),
% 55.09/35.26 inference(unit_resolution,[status(thm)],[35377, 1523, 35315])).
% 55.09/35.26 tff(35379,plain,
% 55.09/35.26 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB171, 2)) | v26(constB171) | v130(constB171, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB171, 2)) | v26(constB171) | v130(constB171, 2))),
% 55.09/35.26 inference(rewrite,[status(thm)],[])).
% 55.09/35.26 tff(35380,plain,
% 55.09/35.26 ((v26(constB171) | v130(constB171, 2) | (~v127(constB171, 2))) <=> ((~v127(constB171, 2)) | v26(constB171) | v130(constB171, 2))),
% 55.09/35.26 inference(rewrite,[status(thm)],[])).
% 55.09/35.26 tff(35381,plain,
% 55.09/35.26 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB171) | v130(constB171, 2) | (~v127(constB171, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB171, 2)) | v26(constB171) | v130(constB171, 2)))),
% 55.09/35.26 inference(monotonicity,[status(thm)],[35380])).
% 55.09/35.26 tff(35382,plain,
% 55.09/35.26 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB171) | v130(constB171, 2) | (~v127(constB171, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB171, 2)) | v26(constB171) | v130(constB171, 2))),
% 55.09/35.26 inference(transitivity,[status(thm)],[35381, 35379])).
% 55.09/35.26 tff(35383,plain,
% 55.09/35.26 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB171) | v130(constB171, 2) | (~v127(constB171, 2)))),
% 55.09/35.26 inference(quant_inst,[status(thm)],[])).
% 55.09/35.26 tff(35384,plain,
% 55.09/35.26 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB171, 2)) | v26(constB171) | v130(constB171, 2)),
% 55.09/35.26 inference(modus_ponens,[status(thm)],[35383, 35382])).
% 55.09/35.26 tff(35385,plain,
% 55.09/35.26 ((~v127(constB171, 2)) | v130(constB171, 2)),
% 55.09/35.26 inference(unit_resolution,[status(thm)],[35384, 1190, 34876])).
% 55.09/35.26 tff(35386,plain,
% 55.09/35.26 (~v127(constB171, 2)),
% 55.09/35.26 inference(unit_resolution,[status(thm)],[35385, 35378])).
% 55.09/35.26 tff(35387,plain,
% 55.09/35.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB171, constB172)) | v127(constB171, 2) | (~v129(constB172, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB171, constB172)) | v127(constB171, 2) | (~v129(constB172, 2)))),
% 55.09/35.26 inference(rewrite,[status(thm)],[])).
% 55.09/35.26 tff(35388,plain,
% 55.09/35.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB171, constB172)) | v127(constB171, 2) | (~v129(constB172, 2)))),
% 55.09/35.26 inference(quant_inst,[status(thm)],[])).
% 55.09/35.26 tff(35389,plain,
% 55.09/35.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB171, constB172)) | v127(constB171, 2) | (~v129(constB172, 2))),
% 55.09/35.26 inference(modus_ponens,[status(thm)],[35388, 35387])).
% 55.09/35.26 tff(35390,plain,
% 55.09/35.26 (v127(constB171, 2) | (~v129(constB172, 2))),
% 55.09/35.26 inference(unit_resolution,[status(thm)],[35389, 1208, 32114])).
% 55.09/35.26 tff(35391,plain,
% 55.09/35.26 (~v129(constB172, 2)),
% 55.09/35.26 inference(unit_resolution,[status(thm)],[35390, 35386])).
% 55.09/35.26 tff(35392,plain,
% 55.09/35.26 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB172, 2)) | v129(constB172, 2) | (~v100(constB172)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB172, 2)) | v129(constB172, 2) | (~v100(constB172)))),
% 55.09/35.26 inference(rewrite,[status(thm)],[])).
% 55.09/35.26 tff(35393,plain,
% 55.09/35.26 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB172, 2)) | v129(constB172, 2) | (~v100(constB172)))),
% 55.09/35.26 inference(quant_inst,[status(thm)],[])).
% 55.09/35.26 tff(35394,plain,
% 55.09/35.26 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB172, 2)) | v129(constB172, 2) | (~v100(constB172))),
% 55.09/35.26 inference(modus_ponens,[status(thm)],[35393, 35392])).
% 55.09/35.26 tff(35395,plain,
% 55.09/35.26 ((~v90(constB172, 2)) | v129(constB172, 2)),
% 55.09/35.26 inference(unit_resolution,[status(thm)],[35394, 1223, 35357])).
% 55.09/35.26 tff(35396,plain,
% 55.09/35.26 (~v90(constB172, 2)),
% 55.09/35.26 inference(unit_resolution,[status(thm)],[35395, 35391])).
% 55.09/35.26 tff(35397,plain,
% 55.09/35.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB172, 2) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB172, 2) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, 2)))),
% 55.09/35.26 inference(rewrite,[status(thm)],[])).
% 55.09/35.26 tff(35398,plain,
% 55.09/35.26 (((~nextState(constB172, constB173)) | v90(constB172, 2) | v100(constB173) | (~v90(constB173, 2))) <=> (v90(constB172, 2) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, 2)))),
% 55.09/35.26 inference(rewrite,[status(thm)],[])).
% 55.09/35.26 tff(35399,plain,
% 55.09/35.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB172, constB173)) | v90(constB172, 2) | v100(constB173) | (~v90(constB173, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB172, 2) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, 2))))),
% 55.09/35.26 inference(monotonicity,[status(thm)],[35398])).
% 55.09/35.26 tff(35400,plain,
% 55.09/35.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB172, constB173)) | v90(constB172, 2) | v100(constB173) | (~v90(constB173, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB172, 2) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, 2)))),
% 55.09/35.26 inference(transitivity,[status(thm)],[35399, 35397])).
% 55.09/35.26 tff(35401,plain,
% 55.09/35.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB172, constB173)) | v90(constB172, 2) | v100(constB173) | (~v90(constB173, 2)))),
% 55.09/35.26 inference(quant_inst,[status(thm)],[])).
% 55.09/35.26 tff(35402,plain,
% 55.09/35.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB172, 2) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, 2))),
% 55.09/35.26 inference(modus_ponens,[status(thm)],[35401, 35400])).
% 55.09/35.26 tff(35403,plain,
% 55.09/35.26 (v90(constB172, 2) | v100(constB173) | (~v90(constB173, 2))),
% 55.09/35.26 inference(unit_resolution,[status(thm)],[35402, 905, 32143])).
% 55.09/35.26 tff(35404,plain,
% 55.09/35.26 (v90(constB172, 2) | (~v90(constB173, 2))),
% 55.09/35.26 inference(unit_resolution,[status(thm)],[35403, 35333])).
% 55.09/35.26 tff(35405,plain,
% 55.09/35.26 (~v90(constB173, 2)),
% 55.09/35.26 inference(unit_resolution,[status(thm)],[35404, 35396])).
% 55.09/35.26 tff(35406,assumption,(~v121(constB173)), introduced(assumption)).
% 55.09/35.26 tff(35407,plain,
% 55.09/35.26 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB173, 0) | (~v90(constB173, 1)) | v90(constB173, 2) | v121(constB173))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB173, 0) | (~v90(constB173, 1)) | v90(constB173, 2) | v121(constB173))),
% 55.09/35.26 inference(rewrite,[status(thm)],[])).
% 55.09/35.26 tff(35408,plain,
% 55.09/35.26 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | (v90(constB173, 0) | (~v90(constB173, 1)) | v90(constB173, 2) | v121(constB173))),
% 55.09/35.26 inference(quant_inst,[status(thm)],[])).
% 55.09/35.26 tff(35409,plain,
% 55.09/35.26 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v121(VarCurr))) | v90(constB173, 0) | (~v90(constB173, 1)) | v90(constB173, 2) | v121(constB173)),
% 55.09/35.26 inference(modus_ponens,[status(thm)],[35408, 35407])).
% 55.09/35.26 tff(35410,plain,
% 55.09/35.26 (v90(constB173, 0) | (~v90(constB173, 1)) | v90(constB173, 2)),
% 55.09/35.26 inference(unit_resolution,[status(thm)],[35409, 1731, 35406])).
% 55.09/35.26 tff(35411,plain,
% 55.09/35.26 ($false),
% 55.09/35.26 inference(unit_resolution,[status(thm)],[35410, 35405, 35374, 35342])).
% 55.09/35.26 tff(35412,plain,((~v120(constB171)) | v121(constB173) | (~v100(constB172))), inference(lemma,lemma(discharge,[]))).
% 55.09/35.26 tff(35413,plain,
% 55.09/35.26 (v121(constB173)),
% 55.09/35.26 inference(unit_resolution,[status(thm)],[35412, 35314, 34868])).
% 55.09/35.26 tff(35414,plain,
% 55.09/35.26 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | ((~v124(constB171)) | v90(constB171, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | (~v124(constB171)) | v90(constB171, 2))),
% 55.09/35.26 inference(rewrite,[status(thm)],[])).
% 55.09/35.26 tff(35415,plain,
% 55.09/35.26 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | ((~v124(constB171)) | v90(constB171, 2))),
% 55.09/35.26 inference(quant_inst,[status(thm)],[])).
% 55.09/35.26 tff(35416,plain,
% 55.09/35.26 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 2))) | (~v124(constB171)) | v90(constB171, 2)),
% 55.09/35.26 inference(modus_ponens,[status(thm)],[35415, 35414])).
% 55.09/35.26 tff(35417,plain,
% 55.09/35.26 (~v124(constB171)),
% 55.09/35.26 inference(unit_resolution,[status(thm)],[35416, 3774, 31815])).
% 55.09/35.26 tff(35418,plain,
% 55.09/35.26 (~v90(constB173, 0)),
% 55.09/35.26 inference(unit_resolution,[status(thm)],[35341, 35034])).
% 55.09/35.26 tff(35419,plain,
% 55.09/35.26 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB173)) | v90(constB173, 0))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB173)) | v90(constB173, 0))),
% 55.09/35.26 inference(rewrite,[status(thm)],[])).
% 55.09/35.26 tff(35420,plain,
% 55.09/35.26 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | ((~v124(constB173)) | v90(constB173, 0))),
% 55.09/35.26 inference(quant_inst,[status(thm)],[])).
% 55.09/35.26 tff(35421,plain,
% 55.09/35.26 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v90(VarCurr, 0))) | (~v124(constB173)) | v90(constB173, 0)),
% 55.09/35.26 inference(modus_ponens,[status(thm)],[35420, 35419])).
% 55.09/35.26 tff(35422,plain,
% 55.09/35.26 (~v124(constB173)),
% 55.09/35.26 inference(unit_resolution,[status(thm)],[35421, 6692, 35418])).
% 55.09/35.26 tff(35423,assumption,(~v113(constB173)), introduced(assumption)).
% 55.09/35.26 tff(35424,plain,
% 55.09/35.26 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB173) | (~v114(constB173)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB173) | (~v114(constB173)))),
% 55.09/35.26 inference(rewrite,[status(thm)],[])).
% 55.09/35.26 tff(35425,plain,
% 55.09/35.26 (((~v114(constB173)) | v113(constB173)) <=> (v113(constB173) | (~v114(constB173)))),
% 55.09/35.26 inference(rewrite,[status(thm)],[])).
% 55.09/35.26 tff(35426,plain,
% 55.09/35.26 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB173)) | v113(constB173))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB173) | (~v114(constB173))))),
% 55.09/35.26 inference(monotonicity,[status(thm)],[35425])).
% 55.09/35.26 tff(35427,plain,
% 55.09/35.26 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB173)) | v113(constB173))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB173) | (~v114(constB173)))),
% 55.09/35.26 inference(transitivity,[status(thm)],[35426, 35424])).
% 55.09/35.26 tff(35428,plain,
% 55.09/35.26 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB173)) | v113(constB173))),
% 55.09/35.26 inference(quant_inst,[status(thm)],[])).
% 55.09/35.26 tff(35429,plain,
% 55.09/35.26 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB173) | (~v114(constB173))),
% 55.09/35.26 inference(modus_ponens,[status(thm)],[35428, 35427])).
% 55.09/35.26 tff(35430,plain,
% 55.09/35.26 (~v114(constB173)),
% 55.09/35.26 inference(unit_resolution,[status(thm)],[35429, 1049, 35423])).
% 55.09/35.26 tff(35431,plain,
% 55.09/35.26 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB173) | (~v115(constB173)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB173) | (~v115(constB173)))),
% 55.09/35.26 inference(rewrite,[status(thm)],[])).
% 55.09/35.26 tff(35432,plain,
% 55.09/35.26 (((~v115(constB173)) | v114(constB173)) <=> (v114(constB173) | (~v115(constB173)))),
% 55.09/35.26 inference(rewrite,[status(thm)],[])).
% 55.09/35.26 tff(35433,plain,
% 55.09/35.26 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB173)) | v114(constB173))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB173) | (~v115(constB173))))),
% 55.09/35.26 inference(monotonicity,[status(thm)],[35432])).
% 55.09/35.26 tff(35434,plain,
% 55.09/35.26 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB173)) | v114(constB173))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB173) | (~v115(constB173)))),
% 55.09/35.26 inference(transitivity,[status(thm)],[35433, 35431])).
% 55.09/35.26 tff(35435,plain,
% 55.09/35.26 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB173)) | v114(constB173))),
% 55.09/35.26 inference(quant_inst,[status(thm)],[])).
% 55.09/35.26 tff(35436,plain,
% 55.09/35.26 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB173) | (~v115(constB173))),
% 55.09/35.26 inference(modus_ponens,[status(thm)],[35435, 35434])).
% 55.09/35.26 tff(35437,plain,
% 55.09/35.26 (~v115(constB173)),
% 55.09/35.26 inference(unit_resolution,[status(thm)],[35436, 1035, 35430])).
% 55.09/35.26 tff(35438,plain,
% 55.09/35.26 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB173) | (~v116(constB173)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB173) | (~v116(constB173)))),
% 55.09/35.26 inference(rewrite,[status(thm)],[])).
% 55.09/35.26 tff(35439,plain,
% 55.09/35.26 (((~v116(constB173)) | v115(constB173)) <=> (v115(constB173) | (~v116(constB173)))),
% 55.09/35.26 inference(rewrite,[status(thm)],[])).
% 55.09/35.26 tff(35440,plain,
% 55.09/35.26 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB173)) | v115(constB173))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB173) | (~v116(constB173))))),
% 55.09/35.26 inference(monotonicity,[status(thm)],[35439])).
% 55.09/35.26 tff(35441,plain,
% 55.09/35.26 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB173)) | v115(constB173))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB173) | (~v116(constB173)))),
% 55.09/35.26 inference(transitivity,[status(thm)],[35440, 35438])).
% 55.09/35.26 tff(35442,plain,
% 55.09/35.26 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB173)) | v115(constB173))),
% 55.09/35.26 inference(quant_inst,[status(thm)],[])).
% 55.09/35.26 tff(35443,plain,
% 55.09/35.26 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB173) | (~v116(constB173))),
% 55.09/35.26 inference(modus_ponens,[status(thm)],[35442, 35441])).
% 55.09/35.26 tff(35444,plain,
% 55.09/35.26 (~v116(constB173)),
% 55.09/35.26 inference(unit_resolution,[status(thm)],[35443, 1021, 35437])).
% 55.09/35.26 tff(35445,plain,
% 55.09/35.26 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB173) | (~v117(constB173)))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB173) | (~v117(constB173)))),
% 55.09/35.26 inference(rewrite,[status(thm)],[])).
% 55.09/35.26 tff(35446,plain,
% 55.09/35.26 (((~v117(constB173)) | v116(constB173)) <=> (v116(constB173) | (~v117(constB173)))),
% 55.09/35.26 inference(rewrite,[status(thm)],[])).
% 55.09/35.26 tff(35447,plain,
% 55.09/35.26 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB173)) | v116(constB173))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | (v116(constB173) | (~v117(constB173))))),
% 55.09/35.26 inference(monotonicity,[status(thm)],[35446])).
% 55.09/35.26 tff(35448,plain,
% 55.09/35.26 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB173)) | v116(constB173))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB173) | (~v117(constB173)))),
% 55.09/35.26 inference(transitivity,[status(thm)],[35447, 35445])).
% 55.09/35.26 tff(35449,plain,
% 55.09/35.26 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | ((~v117(constB173)) | v116(constB173))),
% 55.09/35.26 inference(quant_inst,[status(thm)],[])).
% 55.09/35.26 tff(35450,plain,
% 55.09/35.26 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | v116(VarCurr))) | v116(constB173) | (~v117(constB173))),
% 55.09/35.26 inference(modus_ponens,[status(thm)],[35449, 35448])).
% 55.09/35.26 tff(35451,plain,
% 55.09/35.26 (~v117(constB173)),
% 55.09/35.26 inference(unit_resolution,[status(thm)],[35450, 1007, 35444])).
% 55.09/35.26 tff(35452,plain,
% 55.09/35.26 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB173) | (~v121(constB173)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB173) | (~v121(constB173)))),
% 55.09/35.26 inference(rewrite,[status(thm)],[])).
% 55.09/35.26 tff(35453,plain,
% 55.09/35.26 (((~v121(constB173)) | v117(constB173)) <=> (v117(constB173) | (~v121(constB173)))),
% 55.09/35.26 inference(rewrite,[status(thm)],[])).
% 55.09/35.26 tff(35454,plain,
% 55.09/35.26 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB173)) | v117(constB173))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (v117(constB173) | (~v121(constB173))))),
% 55.09/35.26 inference(monotonicity,[status(thm)],[35453])).
% 55.09/35.26 tff(35455,plain,
% 55.09/35.26 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB173)) | v117(constB173))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB173) | (~v121(constB173)))),
% 55.09/35.26 inference(transitivity,[status(thm)],[35454, 35452])).
% 55.09/35.26 tff(35456,plain,
% 55.09/35.26 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB173)) | v117(constB173))),
% 55.09/35.26 inference(quant_inst,[status(thm)],[])).
% 55.09/35.26 tff(35457,plain,
% 55.09/35.26 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | v117(constB173) | (~v121(constB173))),
% 55.09/35.26 inference(modus_ponens,[status(thm)],[35456, 35455])).
% 55.09/35.26 tff(35458,plain,
% 55.09/35.26 (~v121(constB173)),
% 55.09/35.26 inference(unit_resolution,[status(thm)],[35457, 1742, 35451])).
% 55.09/35.26 tff(35459,plain,
% 55.09/35.26 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB173)) | v116(constB173))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB173)) | v116(constB173))),
% 55.09/35.26 inference(rewrite,[status(thm)],[])).
% 55.09/35.26 tff(35460,plain,
% 55.09/35.26 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB173)) | v116(constB173))),
% 55.09/35.26 inference(quant_inst,[status(thm)],[])).
% 55.09/35.26 tff(35461,plain,
% 55.09/35.26 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (~v122(constB173)) | v116(constB173)),
% 55.09/35.26 inference(modus_ponens,[status(thm)],[35460, 35459])).
% 55.09/35.26 tff(35462,plain,
% 55.09/35.26 (~v122(constB173)),
% 55.09/35.26 inference(unit_resolution,[status(thm)],[35461, 2120, 35444])).
% 55.09/35.26 tff(35463,plain,
% 55.09/35.26 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB173) | (~v118(constB173)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB173) | (~v118(constB173)))),
% 55.09/35.26 inference(rewrite,[status(thm)],[])).
% 55.09/35.26 tff(35464,plain,
% 55.09/35.26 (((~v118(constB173)) | v117(constB173)) <=> (v117(constB173) | (~v118(constB173)))),
% 55.09/35.26 inference(rewrite,[status(thm)],[])).
% 55.09/35.26 tff(35465,plain,
% 55.09/35.26 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB173)) | v117(constB173))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | (v117(constB173) | (~v118(constB173))))),
% 55.09/35.26 inference(monotonicity,[status(thm)],[35464])).
% 55.09/35.26 tff(35466,plain,
% 55.09/35.26 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB173)) | v117(constB173))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB173) | (~v118(constB173)))),
% 55.09/35.26 inference(transitivity,[status(thm)],[35465, 35463])).
% 55.09/35.26 tff(35467,plain,
% 55.09/35.26 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | ((~v118(constB173)) | v117(constB173))),
% 55.09/35.26 inference(quant_inst,[status(thm)],[])).
% 55.09/35.26 tff(35468,plain,
% 55.09/35.26 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v117(VarCurr))) | v117(constB173) | (~v118(constB173))),
% 55.09/35.26 inference(modus_ponens,[status(thm)],[35467, 35466])).
% 55.09/35.26 tff(35469,plain,
% 55.09/35.26 (~v118(constB173)),
% 55.09/35.26 inference(unit_resolution,[status(thm)],[35468, 993, 35451])).
% 55.09/35.26 tff(35470,plain,
% 55.09/35.26 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB173)) | v118(constB173))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB173)) | v118(constB173))),
% 55.09/35.26 inference(rewrite,[status(thm)],[])).
% 55.09/35.26 tff(35471,plain,
% 55.09/35.26 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | ((~v120(constB173)) | v118(constB173))),
% 55.09/35.26 inference(quant_inst,[status(thm)],[])).
% 55.09/35.26 tff(35472,plain,
% 55.09/35.26 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | v118(VarCurr))) | (~v120(constB173)) | v118(constB173)),
% 55.09/35.26 inference(modus_ponens,[status(thm)],[35471, 35470])).
% 55.09/35.26 tff(35473,plain,
% 55.09/35.26 (~v120(constB173)),
% 55.09/35.26 inference(unit_resolution,[status(thm)],[35472, 1425, 35469])).
% 55.09/35.26 tff(35474,assumption,(~v90(constB173, 2)), introduced(assumption)).
% 55.09/35.26 tff(35475,plain,
% 55.09/35.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB172, 2)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB172, 2)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, 2))),
% 55.09/35.26 inference(rewrite,[status(thm)],[])).
% 55.09/35.26 tff(35476,plain,
% 55.09/35.26 (((~nextState(constB172, constB173)) | (~v90(constB172, 2)) | v100(constB173) | v90(constB173, 2)) <=> ((~v90(constB172, 2)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, 2))),
% 55.09/35.26 inference(rewrite,[status(thm)],[])).
% 55.09/35.26 tff(35477,plain,
% 55.09/35.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB172, constB173)) | (~v90(constB172, 2)) | v100(constB173) | v90(constB173, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB172, 2)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, 2)))),
% 55.09/35.26 inference(monotonicity,[status(thm)],[35476])).
% 55.09/35.26 tff(35478,plain,
% 55.09/35.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB172, constB173)) | (~v90(constB172, 2)) | v100(constB173) | v90(constB173, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB172, 2)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, 2))),
% 55.09/35.26 inference(transitivity,[status(thm)],[35477, 35475])).
% 55.09/35.26 tff(35479,plain,
% 55.09/35.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB172, constB173)) | (~v90(constB172, 2)) | v100(constB173) | v90(constB173, 2))),
% 55.09/35.26 inference(quant_inst,[status(thm)],[])).
% 55.09/35.26 tff(35480,plain,
% 55.09/35.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB172, 2)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, 2)),
% 55.09/35.26 inference(modus_ponens,[status(thm)],[35479, 35478])).
% 55.09/35.26 tff(35481,plain,
% 55.09/35.26 ((~v90(constB172, 2)) | v100(constB173) | v90(constB173, 2)),
% 55.09/35.26 inference(unit_resolution,[status(thm)],[35480, 2174, 32143])).
% 55.09/35.26 tff(35482,plain,
% 55.09/35.26 ((~v90(constB172, 2)) | v90(constB173, 2)),
% 55.09/35.26 inference(unit_resolution,[status(thm)],[35481, 35333])).
% 55.09/35.26 tff(35483,plain,
% 55.09/35.26 (~v90(constB172, 2)),
% 55.09/35.26 inference(unit_resolution,[status(thm)],[35482, 35474])).
% 55.09/35.26 tff(35484,assumption,(~v122(constB173)), introduced(assumption)).
% 55.09/35.26 tff(35485,assumption,(~v120(constB173)), introduced(assumption)).
% 55.09/35.26 tff(35486,assumption,(~v119(constB173)), introduced(assumption)).
% 55.09/35.26 tff(35487,assumption,(~v90(constB173, 1)), introduced(assumption)).
% 55.09/35.26 tff(35488,plain,
% 55.09/35.26 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB173, 0)) | v90(constB173, 1) | v90(constB173, 2) | v120(constB173))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB173, 0)) | v90(constB173, 1) | v90(constB173, 2) | v120(constB173))),
% 55.09/35.26 inference(rewrite,[status(thm)],[])).
% 55.09/35.26 tff(35489,plain,
% 55.09/35.26 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB173, 0)) | v90(constB173, 1) | v90(constB173, 2) | v120(constB173))),
% 55.09/35.26 inference(quant_inst,[status(thm)],[])).
% 55.09/35.26 tff(35490,plain,
% 55.09/35.26 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB173, 0)) | v90(constB173, 1) | v90(constB173, 2) | v120(constB173)),
% 55.09/35.26 inference(modus_ponens,[status(thm)],[35489, 35488])).
% 55.09/35.26 tff(35491,plain,
% 55.09/35.26 ((~v90(constB173, 0)) | v90(constB173, 1) | v90(constB173, 2)),
% 55.09/35.26 inference(unit_resolution,[status(thm)],[35490, 1414, 35485])).
% 55.09/35.26 tff(35492,plain,
% 55.09/35.26 (~v90(constB173, 0)),
% 55.09/35.26 inference(unit_resolution,[status(thm)],[35491, 35487, 35474])).
% 55.09/35.26 tff(35493,plain,
% 55.09/35.26 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB173, 0) | v90(constB173, 1) | v90(constB173, 2) | v119(constB173))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB173, 0) | v90(constB173, 1) | v90(constB173, 2) | v119(constB173))),
% 55.09/35.26 inference(rewrite,[status(thm)],[])).
% 55.09/35.26 tff(35494,plain,
% 55.09/35.26 ((v90(constB173, 0) | v119(constB173) | v90(constB173, 1) | v90(constB173, 2)) <=> (v90(constB173, 0) | v90(constB173, 1) | v90(constB173, 2) | v119(constB173))),
% 55.09/35.26 inference(rewrite,[status(thm)],[])).
% 55.09/35.26 tff(35495,plain,
% 55.09/35.26 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB173, 0) | v119(constB173) | v90(constB173, 1) | v90(constB173, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB173, 0) | v90(constB173, 1) | v90(constB173, 2) | v119(constB173)))),
% 55.09/35.26 inference(monotonicity,[status(thm)],[35494])).
% 55.09/35.26 tff(35496,plain,
% 55.09/35.26 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB173, 0) | v119(constB173) | v90(constB173, 1) | v90(constB173, 2))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB173, 0) | v90(constB173, 1) | v90(constB173, 2) | v119(constB173))),
% 55.09/35.26 inference(transitivity,[status(thm)],[35495, 35493])).
% 55.09/35.26 tff(35497,plain,
% 55.09/35.26 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | (v90(constB173, 0) | v119(constB173) | v90(constB173, 1) | v90(constB173, 2))),
% 55.09/35.26 inference(quant_inst,[status(thm)],[])).
% 55.09/35.26 tff(35498,plain,
% 55.09/35.26 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v119(VarCurr) | v90(VarCurr, 1) | v90(VarCurr, 2))) | v90(constB173, 0) | v90(constB173, 1) | v90(constB173, 2) | v119(constB173)),
% 55.09/35.26 inference(modus_ponens,[status(thm)],[35497, 35496])).
% 55.09/35.26 tff(35499,plain,
% 55.09/35.26 (v90(constB173, 0) | v90(constB173, 1) | v90(constB173, 2)),
% 55.09/35.26 inference(unit_resolution,[status(thm)],[35498, 968, 35486])).
% 55.09/35.26 tff(35500,plain,
% 55.09/35.26 ($false),
% 55.09/35.26 inference(unit_resolution,[status(thm)],[35499, 35492, 35487, 35474])).
% 55.09/35.26 tff(35501,plain,(v90(constB173, 1) | v90(constB173, 2) | v119(constB173) | v120(constB173)), inference(lemma,lemma(discharge,[]))).
% 55.09/35.26 tff(35502,plain,
% 55.09/35.26 (v90(constB173, 1)),
% 55.09/35.26 inference(unit_resolution,[status(thm)],[35501, 35474, 35486, 35485])).
% 55.09/35.26 tff(35503,plain,
% 55.09/35.26 (v90(constB173, 0)),
% 55.09/35.26 inference(unit_resolution,[status(thm)],[35410, 35502, 35474])).
% 55.09/35.26 tff(35504,plain,
% 55.09/35.26 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB173, 0)) | (~v90(constB173, 1)) | v90(constB173, 2) | v122(constB173))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB173, 0)) | (~v90(constB173, 1)) | v90(constB173, 2) | v122(constB173))),
% 55.09/35.26 inference(rewrite,[status(thm)],[])).
% 55.09/35.26 tff(35505,plain,
% 55.09/35.26 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB173, 0)) | (~v90(constB173, 1)) | v90(constB173, 2) | v122(constB173))),
% 55.09/35.26 inference(quant_inst,[status(thm)],[])).
% 55.09/35.26 tff(35506,plain,
% 55.09/35.26 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB173, 0)) | (~v90(constB173, 1)) | v90(constB173, 2) | v122(constB173)),
% 55.09/35.26 inference(modus_ponens,[status(thm)],[35505, 35504])).
% 55.09/35.26 tff(35507,plain,
% 55.09/35.26 ((~v90(constB173, 0)) | (~v90(constB173, 1)) | v90(constB173, 2)),
% 55.09/35.26 inference(unit_resolution,[status(thm)],[35506, 1956, 35484])).
% 55.09/35.26 tff(35508,plain,
% 55.09/35.26 ($false),
% 55.09/35.26 inference(unit_resolution,[status(thm)],[35507, 35503, 35502, 35474])).
% 55.09/35.26 tff(35509,plain,(v90(constB173, 2) | v122(constB173) | v121(constB173) | v119(constB173) | v120(constB173)), inference(lemma,lemma(discharge,[]))).
% 55.09/35.26 tff(35510,plain,
% 55.09/35.26 (v119(constB173)),
% 55.09/35.26 inference(unit_resolution,[status(thm)],[35509, 35474, 35406, 35485, 35484])).
% 55.09/35.26 tff(35511,plain,
% 55.09/35.26 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v119(constB173)) | (~v90(constB173, 0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | (~v119(constB173)) | (~v90(constB173, 0)))),
% 55.09/35.26 inference(rewrite,[status(thm)],[])).
% 55.09/35.26 tff(35512,plain,
% 55.09/35.26 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v119(constB173)) | (~v90(constB173, 0)))),
% 55.09/35.26 inference(quant_inst,[status(thm)],[])).
% 55.09/35.26 tff(35513,plain,
% 55.09/35.26 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | (~v119(constB173)) | (~v90(constB173, 0))),
% 55.09/35.26 inference(modus_ponens,[status(thm)],[35512, 35511])).
% 55.09/35.26 tff(35514,plain,
% 55.09/35.26 (~v90(constB173, 0)),
% 55.09/35.26 inference(unit_resolution,[status(thm)],[35513, 5865, 35510])).
% 55.09/35.26 tff(35515,plain,
% 55.09/35.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB172, 0)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB172, 0)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, 0))),
% 55.09/35.26 inference(rewrite,[status(thm)],[])).
% 55.09/35.26 tff(35516,plain,
% 55.09/35.26 (((~nextState(constB172, constB173)) | (~v90(constB172, 0)) | v100(constB173) | v90(constB173, 0)) <=> ((~v90(constB172, 0)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, 0))),
% 55.09/35.26 inference(rewrite,[status(thm)],[])).
% 55.09/35.26 tff(35517,plain,
% 55.09/35.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB172, constB173)) | (~v90(constB172, 0)) | v100(constB173) | v90(constB173, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB172, 0)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, 0)))),
% 55.09/35.26 inference(monotonicity,[status(thm)],[35516])).
% 55.09/35.26 tff(35518,plain,
% 55.09/35.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB172, constB173)) | (~v90(constB172, 0)) | v100(constB173) | v90(constB173, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB172, 0)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, 0))),
% 55.09/35.26 inference(transitivity,[status(thm)],[35517, 35515])).
% 55.09/35.26 tff(35519,plain,
% 55.09/35.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB172, constB173)) | (~v90(constB172, 0)) | v100(constB173) | v90(constB173, 0))),
% 55.09/35.26 inference(quant_inst,[status(thm)],[])).
% 55.09/35.26 tff(35520,plain,
% 55.09/35.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB172, 0)) | (~nextState(constB172, constB173)) | v100(constB173) | v90(constB173, 0)),
% 55.09/35.26 inference(modus_ponens,[status(thm)],[35519, 35518])).
% 55.09/35.26 tff(35521,plain,
% 55.09/35.26 ((~v90(constB172, 0)) | v100(constB173) | v90(constB173, 0)),
% 55.09/35.26 inference(unit_resolution,[status(thm)],[35520, 1395, 32143])).
% 55.09/35.26 tff(35522,plain,
% 55.09/35.26 ((~v90(constB172, 0)) | v90(constB173, 0)),
% 55.09/35.26 inference(unit_resolution,[status(thm)],[35521, 35333])).
% 55.09/35.26 tff(35523,plain,
% 55.09/35.26 (~v90(constB172, 0)),
% 55.09/35.26 inference(unit_resolution,[status(thm)],[35522, 35514])).
% 55.09/35.26 tff(35524,plain,
% 55.09/35.26 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB173)) | (~v90(constB173, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB173)) | (~v90(constB173, 1)))),
% 55.09/35.26 inference(rewrite,[status(thm)],[])).
% 55.09/35.26 tff(35525,plain,
% 55.09/35.26 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB173)) | (~v90(constB173, 1)))),
% 55.09/35.26 inference(quant_inst,[status(thm)],[])).
% 55.09/35.26 tff(35526,plain,
% 55.09/35.26 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB173)) | (~v90(constB173, 1))),
% 55.10/35.26 inference(modus_ponens,[status(thm)],[35525, 35524])).
% 55.10/35.26 tff(35527,plain,
% 55.10/35.26 (~v90(constB173, 1)),
% 55.10/35.26 inference(unit_resolution,[status(thm)],[35526, 2868, 35510])).
% 55.10/35.26 tff(35528,plain,
% 55.10/35.26 (~v90(constB172, 1)),
% 55.10/35.26 inference(unit_resolution,[status(thm)],[35373, 35527])).
% 55.10/35.26 tff(35529,plain,
% 55.10/35.26 (v100(constB172)),
% 55.10/35.26 inference(unit_resolution,[status(thm)],[35264, 35528, 35523, 35483])).
% 55.10/35.26 tff(35530,plain,
% 55.10/35.26 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB172, 2) | (~v129(constB172, 2)) | (~v100(constB172)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB172, 2) | (~v129(constB172, 2)) | (~v100(constB172)))),
% 55.10/35.26 inference(rewrite,[status(thm)],[])).
% 55.10/35.26 tff(35531,plain,
% 55.10/35.26 ((v90(constB172, 2) | (~v100(constB172)) | (~v129(constB172, 2))) <=> (v90(constB172, 2) | (~v129(constB172, 2)) | (~v100(constB172)))),
% 55.10/35.26 inference(rewrite,[status(thm)],[])).
% 55.10/35.26 tff(35532,plain,
% 55.10/35.26 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB172, 2) | (~v100(constB172)) | (~v129(constB172, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB172, 2) | (~v129(constB172, 2)) | (~v100(constB172))))),
% 55.10/35.26 inference(monotonicity,[status(thm)],[35531])).
% 55.10/35.26 tff(35533,plain,
% 55.10/35.26 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB172, 2) | (~v100(constB172)) | (~v129(constB172, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB172, 2) | (~v129(constB172, 2)) | (~v100(constB172)))),
% 55.10/35.26 inference(transitivity,[status(thm)],[35532, 35530])).
% 55.10/35.26 tff(35534,plain,
% 55.10/35.26 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB172, 2) | (~v100(constB172)) | (~v129(constB172, 2)))),
% 55.10/35.26 inference(quant_inst,[status(thm)],[])).
% 55.10/35.26 tff(35535,plain,
% 55.10/35.26 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB172, 2) | (~v129(constB172, 2)) | (~v100(constB172))),
% 55.10/35.26 inference(modus_ponens,[status(thm)],[35534, 35533])).
% 55.10/35.26 tff(35536,plain,
% 55.10/35.26 ((~v129(constB172, 2)) | (~v100(constB172))),
% 55.10/35.26 inference(unit_resolution,[status(thm)],[35535, 2324, 35483])).
% 55.10/35.26 tff(35537,plain,
% 55.10/35.26 (~v129(constB172, 2)),
% 55.10/35.26 inference(unit_resolution,[status(thm)],[35536, 35529])).
% 55.10/35.26 tff(35538,plain,
% 55.10/35.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB171, constB172)) | (~v127(constB171, 2)) | v129(constB172, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB171, constB172)) | (~v127(constB171, 2)) | v129(constB172, 2))),
% 55.10/35.26 inference(rewrite,[status(thm)],[])).
% 55.10/35.26 tff(35539,plain,
% 55.10/35.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB171, constB172)) | (~v127(constB171, 2)) | v129(constB172, 2))),
% 55.10/35.26 inference(quant_inst,[status(thm)],[])).
% 55.10/35.26 tff(35540,plain,
% 55.10/35.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB171, constB172)) | (~v127(constB171, 2)) | v129(constB172, 2)),
% 55.10/35.26 inference(modus_ponens,[status(thm)],[35539, 35538])).
% 55.10/35.26 tff(35541,plain,
% 55.10/35.26 ((~v127(constB171, 2)) | v129(constB172, 2)),
% 55.10/35.26 inference(unit_resolution,[status(thm)],[35540, 1999, 32114])).
% 55.10/35.26 tff(35542,plain,
% 55.10/35.26 (~v127(constB171, 2)),
% 55.10/35.26 inference(unit_resolution,[status(thm)],[35541, 35537])).
% 55.10/35.26 tff(35543,plain,
% 55.10/35.26 ((~v129(constB172, 1)) | (~v100(constB172))),
% 55.10/35.26 inference(unit_resolution,[status(thm)],[35363, 1623, 35528])).
% 55.10/35.26 tff(35544,plain,
% 55.10/35.26 (~v129(constB172, 1)),
% 55.10/35.26 inference(unit_resolution,[status(thm)],[35543, 35529])).
% 55.10/35.26 tff(35545,plain,
% 55.10/35.26 (~v127(constB171, 1)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35355, 35544])).
% 55.10/35.27 tff(35546,plain,
% 55.10/35.27 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB172, 0) | (~v129(constB172, 0)) | (~v100(constB172)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB172, 0) | (~v129(constB172, 0)) | (~v100(constB172)))),
% 55.10/35.27 inference(rewrite,[status(thm)],[])).
% 55.10/35.27 tff(35547,plain,
% 55.10/35.27 ((v90(constB172, 0) | (~v100(constB172)) | (~v129(constB172, 0))) <=> (v90(constB172, 0) | (~v129(constB172, 0)) | (~v100(constB172)))),
% 55.10/35.27 inference(rewrite,[status(thm)],[])).
% 55.10/35.27 tff(35548,plain,
% 55.10/35.27 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB172, 0) | (~v100(constB172)) | (~v129(constB172, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB172, 0) | (~v129(constB172, 0)) | (~v100(constB172))))),
% 55.10/35.27 inference(monotonicity,[status(thm)],[35547])).
% 55.10/35.27 tff(35549,plain,
% 55.10/35.27 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB172, 0) | (~v100(constB172)) | (~v129(constB172, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB172, 0) | (~v129(constB172, 0)) | (~v100(constB172)))),
% 55.10/35.27 inference(transitivity,[status(thm)],[35548, 35546])).
% 55.10/35.27 tff(35550,plain,
% 55.10/35.27 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB172, 0) | (~v100(constB172)) | (~v129(constB172, 0)))),
% 55.10/35.27 inference(quant_inst,[status(thm)],[])).
% 55.10/35.27 tff(35551,plain,
% 55.10/35.27 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB172, 0) | (~v129(constB172, 0)) | (~v100(constB172))),
% 55.10/35.27 inference(modus_ponens,[status(thm)],[35550, 35549])).
% 55.10/35.27 tff(35552,plain,
% 55.10/35.27 ((~v129(constB172, 0)) | (~v100(constB172))),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35551, 1377, 35523])).
% 55.10/35.27 tff(35553,plain,
% 55.10/35.27 (~v129(constB172, 0)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35552, 35529])).
% 55.10/35.27 tff(35554,plain,
% 55.10/35.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB171, constB172)) | (~v127(constB171, 0)) | v129(constB172, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB171, constB172)) | (~v127(constB171, 0)) | v129(constB172, 0))),
% 55.10/35.27 inference(rewrite,[status(thm)],[])).
% 55.10/35.27 tff(35555,plain,
% 55.10/35.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB171, constB172)) | (~v127(constB171, 0)) | v129(constB172, 0))),
% 55.10/35.27 inference(quant_inst,[status(thm)],[])).
% 55.10/35.27 tff(35556,plain,
% 55.10/35.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB171, constB172)) | (~v127(constB171, 0)) | v129(constB172, 0)),
% 55.10/35.27 inference(modus_ponens,[status(thm)],[35555, 35554])).
% 55.10/35.27 tff(35557,plain,
% 55.10/35.27 ((~v127(constB171, 0)) | v129(constB172, 0)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35556, 1362, 32114])).
% 55.10/35.27 tff(35558,plain,
% 55.10/35.27 (~v127(constB171, 0)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35557, 35553])).
% 55.10/35.27 tff(35559,plain,
% 55.10/35.27 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB171) | (~v130(constB171, 2)) | v127(constB171, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB171) | (~v130(constB171, 2)) | v127(constB171, 2))),
% 55.10/35.27 inference(rewrite,[status(thm)],[])).
% 55.10/35.27 tff(35560,plain,
% 55.10/35.27 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB171) | (~v130(constB171, 2)) | v127(constB171, 2))),
% 55.10/35.27 inference(quant_inst,[status(thm)],[])).
% 55.10/35.27 tff(35561,plain,
% 55.10/35.27 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB171) | (~v130(constB171, 2)) | v127(constB171, 2)),
% 55.10/35.27 inference(modus_ponens,[status(thm)],[35560, 35559])).
% 55.10/35.27 tff(35562,plain,
% 55.10/35.27 ((~v130(constB171, 2)) | v127(constB171, 2)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35561, 1981, 34876])).
% 55.10/35.27 tff(35563,plain,
% 55.10/35.27 (~v130(constB171, 2)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35562, 35542])).
% 55.10/35.27 tff(35564,plain,
% 55.10/35.27 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB171)) | v130(constB171, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB171)) | v130(constB171, 2))),
% 55.10/35.27 inference(rewrite,[status(thm)],[])).
% 55.10/35.27 tff(35565,plain,
% 55.10/35.27 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB171)) | v130(constB171, 2))),
% 55.10/35.27 inference(quant_inst,[status(thm)],[])).
% 55.10/35.27 tff(35566,plain,
% 55.10/35.27 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB171)) | v130(constB171, 2)),
% 55.10/35.27 inference(modus_ponens,[status(thm)],[35565, 35564])).
% 55.10/35.27 tff(35567,plain,
% 55.10/35.27 (~v122(constB171)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35566, 1967, 35563])).
% 55.10/35.27 tff(35568,plain,
% 55.10/35.27 ((~v130(constB171, 0)) | v127(constB171, 0)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[34966, 1347, 34876])).
% 55.10/35.27 tff(35569,plain,
% 55.10/35.27 (~v130(constB171, 0)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35568, 35558])).
% 55.10/35.27 tff(35570,plain,
% 55.10/35.27 (~v121(constB171)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[34979, 1915, 35569])).
% 55.10/35.27 tff(35571,assumption,(~v26(constB171)), introduced(assumption)).
% 55.10/35.27 tff(35572,plain,
% 55.10/35.27 (~v130(constB171, 0)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[34967, 35571])).
% 55.10/35.27 tff(35573,plain,
% 55.10/35.27 (~v119(constB171)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[34975, 1333, 35572])).
% 55.10/35.27 tff(35574,assumption,(~v127(constB171, 1)), introduced(assumption)).
% 55.10/35.27 tff(35575,plain,
% 55.10/35.27 (v26(constB171) | (~v130(constB171, 1))),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35349, 1593, 35574])).
% 55.10/35.27 tff(35576,plain,
% 55.10/35.27 (~v130(constB171, 1)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35575, 35571])).
% 55.10/35.27 tff(35577,plain,
% 55.10/35.27 (~v120(constB171)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35345, 1579, 35576])).
% 55.10/35.27 tff(35578,plain,
% 55.10/35.27 (~v123(constB171)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[34971, 2622, 35572])).
% 55.10/35.27 tff(35579,assumption,(~v127(constB171, 2)), introduced(assumption)).
% 55.10/35.27 tff(35580,plain,
% 55.10/35.27 (v26(constB171) | (~v130(constB171, 2))),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35561, 1981, 35579])).
% 55.10/35.27 tff(35581,plain,
% 55.10/35.27 (~v130(constB171, 2)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35580, 35571])).
% 55.10/35.27 tff(35582,plain,
% 55.10/35.27 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB171)) | v130(constB171, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB171)) | v130(constB171, 2))),
% 55.10/35.27 inference(rewrite,[status(thm)],[])).
% 55.10/35.27 tff(35583,plain,
% 55.10/35.27 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB171)) | v130(constB171, 2))),
% 55.10/35.27 inference(quant_inst,[status(thm)],[])).
% 55.10/35.27 tff(35584,plain,
% 55.10/35.27 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB171)) | v130(constB171, 2)),
% 55.10/35.27 inference(modus_ponens,[status(thm)],[35583, 35582])).
% 55.10/35.27 tff(35585,plain,
% 55.10/35.27 (~v124(constB171)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35584, 2741, 35581])).
% 55.10/35.27 tff(35586,assumption,(~v121(constB171)), introduced(assumption)).
% 55.10/35.27 tff(35587,assumption,(~v122(constB171)), introduced(assumption)).
% 55.10/35.27 tff(35588,plain,
% 55.10/35.27 (v119(constB171) | v120(constB171) | v123(constB171) | v124(constB171) | v130(constB171, 0)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[34990, 3413, 35587, 35586])).
% 55.10/35.27 tff(35589,plain,
% 55.10/35.27 ($false),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35588, 35585, 35578, 35572, 35577, 35573])).
% 55.10/35.27 tff(35590,plain,(v26(constB171) | v122(constB171) | v121(constB171) | v127(constB171, 1) | v127(constB171, 2) | v127(constB171, 0)), inference(lemma,lemma(discharge,[]))).
% 55.10/35.27 tff(35591,plain,
% 55.10/35.27 (v122(constB171) | v121(constB171) | v127(constB171, 1) | v127(constB171, 2) | v127(constB171, 0)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35590, 34876])).
% 55.10/35.27 tff(35592,plain,
% 55.10/35.27 ($false),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35591, 35570, 35567, 35558, 35545, 35542])).
% 55.10/35.27 tff(35593,plain,(v90(constB173, 2) | v121(constB173) | v120(constB173) | v122(constB173)), inference(lemma,lemma(discharge,[]))).
% 55.10/35.27 tff(35594,plain,
% 55.10/35.27 (v90(constB173, 2)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35593, 35473, 35462, 35458])).
% 55.10/35.27 tff(35595,plain,
% 55.10/35.27 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB173)) | v115(constB173))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB173)) | v115(constB173))),
% 55.10/35.27 inference(rewrite,[status(thm)],[])).
% 55.10/35.27 tff(35596,plain,
% 55.10/35.27 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB173)) | v115(constB173))),
% 55.10/35.27 inference(quant_inst,[status(thm)],[])).
% 55.10/35.27 tff(35597,plain,
% 55.10/35.27 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB173)) | v115(constB173)),
% 55.10/35.27 inference(modus_ponens,[status(thm)],[35596, 35595])).
% 55.10/35.27 tff(35598,plain,
% 55.10/35.27 (~v123(constB173)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35597, 2291, 35437])).
% 55.10/35.27 tff(35599,assumption,(~v124(constB173)), introduced(assumption)).
% 55.10/35.27 tff(35600,assumption,(v90(constB173, 2)), introduced(assumption)).
% 55.10/35.27 tff(35601,plain,
% 55.10/35.27 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB173, 0)) | v90(constB173, 1) | (~v90(constB173, 2)) | v124(constB173))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB173, 0)) | v90(constB173, 1) | (~v90(constB173, 2)) | v124(constB173))),
% 55.10/35.27 inference(rewrite,[status(thm)],[])).
% 55.10/35.27 tff(35602,plain,
% 55.10/35.27 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB173, 0)) | v90(constB173, 1) | (~v90(constB173, 2)) | v124(constB173))),
% 55.10/35.27 inference(quant_inst,[status(thm)],[])).
% 55.10/35.27 tff(35603,plain,
% 55.10/35.27 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB173, 0)) | v90(constB173, 1) | (~v90(constB173, 2)) | v124(constB173)),
% 55.10/35.27 inference(modus_ponens,[status(thm)],[35602, 35601])).
% 55.10/35.27 tff(35604,plain,
% 55.10/35.27 ((~v90(constB173, 0)) | v90(constB173, 1) | (~v90(constB173, 2))),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35603, 2663, 35599])).
% 55.10/35.27 tff(35605,plain,
% 55.10/35.27 (~v90(constB173, 0)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35604, 35487, 35600])).
% 55.10/35.27 tff(35606,assumption,(~v123(constB173)), introduced(assumption)).
% 55.10/35.27 tff(35607,plain,
% 55.10/35.27 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB173, 0) | v90(constB173, 1) | (~v90(constB173, 2)) | v123(constB173))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB173, 0) | v90(constB173, 1) | (~v90(constB173, 2)) | v123(constB173))),
% 55.10/35.27 inference(rewrite,[status(thm)],[])).
% 55.10/35.27 tff(35608,plain,
% 55.10/35.27 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB173, 0) | v90(constB173, 1) | (~v90(constB173, 2)) | v123(constB173))),
% 55.10/35.27 inference(quant_inst,[status(thm)],[])).
% 55.10/35.27 tff(35609,plain,
% 55.10/35.27 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB173, 0) | v90(constB173, 1) | (~v90(constB173, 2)) | v123(constB173)),
% 55.10/35.27 inference(modus_ponens,[status(thm)],[35608, 35607])).
% 55.10/35.27 tff(35610,plain,
% 55.10/35.27 (v90(constB173, 0) | v90(constB173, 1) | (~v90(constB173, 2))),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35609, 2308, 35606])).
% 55.10/35.27 tff(35611,plain,
% 55.10/35.27 ($false),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35610, 35605, 35487, 35600])).
% 55.10/35.27 tff(35612,plain,(v90(constB173, 1) | (~v90(constB173, 2)) | v123(constB173) | v124(constB173)), inference(lemma,lemma(discharge,[]))).
% 55.10/35.27 tff(35613,plain,
% 55.10/35.27 (v90(constB173, 1)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35612, 35594, 35599, 35598])).
% 55.10/35.27 tff(35614,plain,
% 55.10/35.27 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB173) | (~v125(constB173)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB173) | (~v125(constB173)))),
% 55.10/35.27 inference(rewrite,[status(thm)],[])).
% 55.10/35.27 tff(35615,plain,
% 55.10/35.27 (((~v125(constB173)) | v113(constB173)) <=> (v113(constB173) | (~v125(constB173)))),
% 55.10/35.27 inference(rewrite,[status(thm)],[])).
% 55.10/35.27 tff(35616,plain,
% 55.10/35.27 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB173)) | v113(constB173))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB173) | (~v125(constB173))))),
% 55.10/35.27 inference(monotonicity,[status(thm)],[35615])).
% 55.10/35.27 tff(35617,plain,
% 55.10/35.27 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB173)) | v113(constB173))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB173) | (~v125(constB173)))),
% 55.10/35.27 inference(transitivity,[status(thm)],[35616, 35614])).
% 55.10/35.27 tff(35618,plain,
% 55.10/35.27 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB173)) | v113(constB173))),
% 55.10/35.27 inference(quant_inst,[status(thm)],[])).
% 55.10/35.27 tff(35619,plain,
% 55.10/35.27 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB173) | (~v125(constB173))),
% 55.10/35.27 inference(modus_ponens,[status(thm)],[35618, 35617])).
% 55.10/35.27 tff(35620,plain,
% 55.10/35.27 (~v125(constB173)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35619, 2262, 35423])).
% 55.10/35.27 tff(35621,plain,
% 55.10/35.27 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB173, 0) | (~v90(constB173, 1)) | (~v90(constB173, 2)) | v125(constB173))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB173, 0) | (~v90(constB173, 1)) | (~v90(constB173, 2)) | v125(constB173))),
% 55.10/35.27 inference(rewrite,[status(thm)],[])).
% 55.10/35.27 tff(35622,plain,
% 55.10/35.27 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB173, 0) | (~v90(constB173, 1)) | (~v90(constB173, 2)) | v125(constB173))),
% 55.10/35.27 inference(quant_inst,[status(thm)],[])).
% 55.10/35.27 tff(35623,plain,
% 55.10/35.27 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB173, 0) | (~v90(constB173, 1)) | (~v90(constB173, 2)) | v125(constB173)),
% 55.10/35.27 inference(modus_ponens,[status(thm)],[35622, 35621])).
% 55.10/35.27 tff(35624,plain,
% 55.10/35.27 (v90(constB173, 0) | (~v90(constB173, 1)) | (~v90(constB173, 2))),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35623, 2279, 35620])).
% 55.10/35.27 tff(35625,plain,
% 55.10/35.27 (v90(constB173, 0)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35624, 35613, 35594])).
% 55.10/35.27 tff(35626,plain,
% 55.10/35.27 (v90(constB172, 0)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35341, 35625])).
% 55.10/35.27 tff(35627,plain,
% 55.10/35.27 (v90(constB172, 2)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35404, 35594])).
% 55.10/35.27 tff(35628,plain,
% 55.10/35.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB172, 1) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB172, 1) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, 1)))),
% 55.10/35.27 inference(rewrite,[status(thm)],[])).
% 55.10/35.27 tff(35629,plain,
% 55.10/35.27 (((~nextState(constB172, constB173)) | v90(constB172, 1) | v100(constB173) | (~v90(constB173, 1))) <=> (v90(constB172, 1) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, 1)))),
% 55.10/35.27 inference(rewrite,[status(thm)],[])).
% 55.10/35.27 tff(35630,plain,
% 55.10/35.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB172, constB173)) | v90(constB172, 1) | v100(constB173) | (~v90(constB173, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB172, 1) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, 1))))),
% 55.10/35.27 inference(monotonicity,[status(thm)],[35629])).
% 55.10/35.27 tff(35631,plain,
% 55.10/35.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB172, constB173)) | v90(constB172, 1) | v100(constB173) | (~v90(constB173, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB172, 1) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, 1)))),
% 55.10/35.27 inference(transitivity,[status(thm)],[35630, 35628])).
% 55.10/35.27 tff(35632,plain,
% 55.10/35.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB172, constB173)) | v90(constB172, 1) | v100(constB173) | (~v90(constB173, 1)))),
% 55.10/35.27 inference(quant_inst,[status(thm)],[])).
% 55.10/35.27 tff(35633,plain,
% 55.10/35.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB172, 1) | (~nextState(constB172, constB173)) | v100(constB173) | (~v90(constB173, 1))),
% 55.10/35.27 inference(modus_ponens,[status(thm)],[35632, 35631])).
% 55.10/35.27 tff(35634,plain,
% 55.10/35.27 (v90(constB172, 1) | v100(constB173) | (~v90(constB173, 1))),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35633, 926, 32143])).
% 55.10/35.27 tff(35635,plain,
% 55.10/35.27 (v90(constB172, 1) | (~v90(constB173, 1))),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35634, 35333])).
% 55.10/35.27 tff(35636,plain,
% 55.10/35.27 (v90(constB172, 1)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35635, 35613])).
% 55.10/35.27 tff(35637,assumption,(~v90(constB171, 1)), introduced(assumption)).
% 55.10/35.27 tff(35638,plain,
% 55.10/35.27 (v100(constB172)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35273, 35637, 35266])).
% 55.10/35.27 tff(35639,assumption,(v90(constB172, 2)), introduced(assumption)).
% 55.10/35.27 tff(35640,plain,
% 55.10/35.27 (v129(constB172, 2) | (~v100(constB172))),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35394, 1223, 35639])).
% 55.10/35.27 tff(35641,plain,
% 55.10/35.27 (v129(constB172, 2)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35640, 35638])).
% 55.10/35.27 tff(35642,plain,
% 55.10/35.27 (v127(constB171, 2)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35390, 35641])).
% 55.10/35.27 tff(35643,plain,
% 55.10/35.27 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | ((~v26(constB171)) | (~v127(constB171, 2)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | (~v26(constB171)) | (~v127(constB171, 2)))),
% 55.10/35.27 inference(rewrite,[status(thm)],[])).
% 55.10/35.27 tff(35644,plain,
% 55.10/35.27 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | ((~v26(constB171)) | (~v127(constB171, 2)))),
% 55.10/35.27 inference(quant_inst,[status(thm)],[])).
% 55.10/35.27 tff(35645,plain,
% 55.10/35.27 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 2)))) | (~v26(constB171)) | (~v127(constB171, 2))),
% 55.10/35.27 inference(modus_ponens,[status(thm)],[35644, 35643])).
% 55.10/35.27 tff(35646,plain,
% 55.10/35.27 (~v26(constB171)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35645, 3715, 35642])).
% 55.10/35.27 tff(35647,plain,
% 55.10/35.27 (v130(constB171, 2)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35384, 1190, 35642, 35646])).
% 55.10/35.27 tff(35648,plain,
% 55.10/35.27 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB171)) | (~v130(constB171, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB171)) | (~v130(constB171, 2)))),
% 55.10/35.27 inference(rewrite,[status(thm)],[])).
% 55.10/35.27 tff(35649,plain,
% 55.10/35.27 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB171)) | (~v130(constB171, 2)))),
% 55.10/35.27 inference(quant_inst,[status(thm)],[])).
% 55.10/35.27 tff(35650,plain,
% 55.10/35.27 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB171)) | (~v130(constB171, 2))),
% 55.10/35.27 inference(modus_ponens,[status(thm)],[35649, 35648])).
% 55.10/35.27 tff(35651,plain,
% 55.10/35.27 (~v119(constB171)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35650, 1176, 35647])).
% 55.10/35.27 tff(35652,plain,
% 55.10/35.27 (~v120(constB171)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35377, 1523, 35647])).
% 55.10/35.27 tff(35653,plain,
% 55.10/35.27 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))) | ((~v121(constB171)) | v90(constB171, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))) | (~v121(constB171)) | v90(constB171, 1))),
% 55.10/35.27 inference(rewrite,[status(thm)],[])).
% 55.10/35.27 tff(35654,plain,
% 55.10/35.27 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))) | ((~v121(constB171)) | v90(constB171, 1))),
% 55.10/35.27 inference(quant_inst,[status(thm)],[])).
% 55.10/35.27 tff(35655,plain,
% 55.10/35.27 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v90(VarCurr, 1))) | (~v121(constB171)) | v90(constB171, 1)),
% 55.10/35.27 inference(modus_ponens,[status(thm)],[35654, 35653])).
% 55.10/35.27 tff(35656,plain,
% 55.10/35.27 (~v121(constB171)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35655, 6012, 35637])).
% 55.10/35.27 tff(35657,plain,
% 55.10/35.27 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | ((~v122(constB171)) | v90(constB171, 1))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | (~v122(constB171)) | v90(constB171, 1))),
% 55.10/35.27 inference(rewrite,[status(thm)],[])).
% 55.10/35.27 tff(35658,plain,
% 55.10/35.27 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | ((~v122(constB171)) | v90(constB171, 1))),
% 55.10/35.27 inference(quant_inst,[status(thm)],[])).
% 55.10/35.27 tff(35659,plain,
% 55.10/35.27 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v90(VarCurr, 1))) | (~v122(constB171)) | v90(constB171, 1)),
% 55.10/35.27 inference(modus_ponens,[status(thm)],[35658, 35657])).
% 55.10/35.27 tff(35660,plain,
% 55.10/35.27 (~v122(constB171)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35659, 5282, 35637])).
% 55.10/35.27 tff(35661,plain,
% 55.10/35.27 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB172, 1)) | v129(constB172, 1) | (~v100(constB172)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB172, 1)) | v129(constB172, 1) | (~v100(constB172)))),
% 55.10/35.27 inference(rewrite,[status(thm)],[])).
% 55.10/35.27 tff(35662,plain,
% 55.10/35.27 (((~v90(constB172, 1)) | (~v100(constB172)) | v129(constB172, 1)) <=> ((~v90(constB172, 1)) | v129(constB172, 1) | (~v100(constB172)))),
% 55.10/35.27 inference(rewrite,[status(thm)],[])).
% 55.10/35.27 tff(35663,plain,
% 55.10/35.27 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB172, 1)) | (~v100(constB172)) | v129(constB172, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB172, 1)) | v129(constB172, 1) | (~v100(constB172))))),
% 55.10/35.27 inference(monotonicity,[status(thm)],[35662])).
% 55.10/35.27 tff(35664,plain,
% 55.10/35.27 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB172, 1)) | (~v100(constB172)) | v129(constB172, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB172, 1)) | v129(constB172, 1) | (~v100(constB172)))),
% 55.10/35.27 inference(transitivity,[status(thm)],[35663, 35661])).
% 55.10/35.27 tff(35665,plain,
% 55.10/35.27 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB172, 1)) | (~v100(constB172)) | v129(constB172, 1))),
% 55.10/35.27 inference(quant_inst,[status(thm)],[])).
% 55.10/35.27 tff(35666,plain,
% 55.10/35.27 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB172, 1)) | v129(constB172, 1) | (~v100(constB172))),
% 55.10/35.27 inference(modus_ponens,[status(thm)],[35665, 35664])).
% 55.10/35.27 tff(35667,plain,
% 55.10/35.27 (v129(constB172, 1) | (~v100(constB172))),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35666, 1309, 35266])).
% 55.10/35.27 tff(35668,plain,
% 55.10/35.27 (v129(constB172, 1)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35667, 35638])).
% 55.10/35.27 tff(35669,plain,
% 55.10/35.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB171, constB172)) | v127(constB171, 1) | (~v129(constB172, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB171, constB172)) | v127(constB171, 1) | (~v129(constB172, 1)))),
% 55.10/35.27 inference(rewrite,[status(thm)],[])).
% 55.10/35.27 tff(35670,plain,
% 55.10/35.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB171, constB172)) | v127(constB171, 1) | (~v129(constB172, 1)))),
% 55.10/35.27 inference(quant_inst,[status(thm)],[])).
% 55.10/35.27 tff(35671,plain,
% 55.10/35.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB171, constB172)) | v127(constB171, 1) | (~v129(constB172, 1))),
% 55.10/35.27 inference(modus_ponens,[status(thm)],[35670, 35669])).
% 55.10/35.27 tff(35672,plain,
% 55.10/35.27 (v127(constB171, 1) | (~v129(constB172, 1))),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35671, 1294, 32114])).
% 55.10/35.27 tff(35673,plain,
% 55.10/35.27 (v127(constB171, 1)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35672, 35668])).
% 55.10/35.27 tff(35674,plain,
% 55.10/35.27 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB171, 1)) | v26(constB171) | v130(constB171, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB171, 1)) | v26(constB171) | v130(constB171, 1))),
% 55.10/35.27 inference(rewrite,[status(thm)],[])).
% 55.10/35.27 tff(35675,plain,
% 55.10/35.27 ((v26(constB171) | v130(constB171, 1) | (~v127(constB171, 1))) <=> ((~v127(constB171, 1)) | v26(constB171) | v130(constB171, 1))),
% 55.10/35.27 inference(rewrite,[status(thm)],[])).
% 55.10/35.27 tff(35676,plain,
% 55.10/35.27 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB171) | v130(constB171, 1) | (~v127(constB171, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB171, 1)) | v26(constB171) | v130(constB171, 1)))),
% 55.10/35.27 inference(monotonicity,[status(thm)],[35675])).
% 55.10/35.27 tff(35677,plain,
% 55.10/35.27 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB171) | v130(constB171, 1) | (~v127(constB171, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB171, 1)) | v26(constB171) | v130(constB171, 1))),
% 55.10/35.27 inference(transitivity,[status(thm)],[35676, 35674])).
% 55.10/35.27 tff(35678,plain,
% 55.10/35.27 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB171) | v130(constB171, 1) | (~v127(constB171, 1)))),
% 55.10/35.27 inference(quant_inst,[status(thm)],[])).
% 55.10/35.27 tff(35679,plain,
% 55.10/35.27 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB171, 1)) | v26(constB171) | v130(constB171, 1)),
% 55.10/35.27 inference(modus_ponens,[status(thm)],[35678, 35677])).
% 55.10/35.27 tff(35680,plain,
% 55.10/35.27 (v130(constB171, 1)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35679, 1276, 35673, 35646])).
% 55.10/35.27 tff(35681,plain,
% 55.10/35.27 (v129(constB172, 0)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[34898, 35638])).
% 55.10/35.27 tff(35682,plain,
% 55.10/35.27 (v127(constB171, 0)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[34889, 35681])).
% 55.10/35.27 tff(35683,plain,
% 55.10/35.27 (v130(constB171, 0)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[34882, 1671, 35682, 35646])).
% 55.10/35.27 tff(35684,plain,
% 55.10/35.27 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB171)) | (~v130(constB171, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB171)) | (~v130(constB171, 0)))),
% 55.10/35.27 inference(rewrite,[status(thm)],[])).
% 55.10/35.27 tff(35685,plain,
% 55.10/35.27 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB171)) | (~v130(constB171, 0)))),
% 55.10/35.27 inference(quant_inst,[status(thm)],[])).
% 55.10/35.27 tff(35686,plain,
% 55.10/35.27 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB171)) | (~v130(constB171, 0))),
% 55.10/35.27 inference(modus_ponens,[status(thm)],[35685, 35684])).
% 55.10/35.27 tff(35687,plain,
% 55.10/35.27 (~v124(constB171)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35686, 3274, 35683])).
% 55.10/35.27 tff(35688,plain,
% 55.10/35.27 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB171) | v120(constB171) | v121(constB171) | v122(constB171) | v123(constB171) | v124(constB171) | (~v130(constB171, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB171) | v120(constB171) | v121(constB171) | v122(constB171) | v123(constB171) | v124(constB171) | (~v130(constB171, 1)))),
% 55.10/35.27 inference(rewrite,[status(thm)],[])).
% 55.10/35.27 tff(35689,plain,
% 55.10/35.27 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB171) | v120(constB171) | v121(constB171) | v122(constB171) | v123(constB171) | v124(constB171) | (~v130(constB171, 1)))),
% 55.10/35.27 inference(quant_inst,[status(thm)],[])).
% 55.10/35.27 tff(35690,plain,
% 55.10/35.27 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB171) | v120(constB171) | v121(constB171) | v122(constB171) | v123(constB171) | v124(constB171) | (~v130(constB171, 1))),
% 55.10/35.27 inference(modus_ponens,[status(thm)],[35689, 35688])).
% 55.10/35.27 tff(35691,plain,
% 55.10/35.27 (v123(constB171)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35690, 3309, 35687, 35680, 35660, 35656, 35652, 35651])).
% 55.10/35.27 tff(35692,plain,
% 55.10/35.27 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB171)) | (~v130(constB171, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB171)) | (~v130(constB171, 1)))),
% 55.10/35.27 inference(rewrite,[status(thm)],[])).
% 55.10/35.27 tff(35693,plain,
% 55.10/35.27 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB171)) | (~v130(constB171, 1)))),
% 55.10/35.27 inference(quant_inst,[status(thm)],[])).
% 55.10/35.27 tff(35694,plain,
% 55.10/35.27 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB171)) | (~v130(constB171, 1))),
% 55.10/35.27 inference(modus_ponens,[status(thm)],[35693, 35692])).
% 55.10/35.27 tff(35695,plain,
% 55.10/35.27 ($false),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35694, 2581, 35680, 35691])).
% 55.10/35.27 tff(35696,plain,(v90(constB171, 1) | (~v90(constB172, 1)) | (~v90(constB172, 0)) | (~v90(constB172, 2))), inference(lemma,lemma(discharge,[]))).
% 55.10/35.27 tff(35697,plain,
% 55.10/35.27 (v90(constB171, 1)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35696, 35626, 35636, 35627])).
% 55.10/35.27 tff(35698,plain,
% 55.10/35.27 (v127(constB171, 0)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35033, 35626])).
% 55.10/35.27 tff(35699,plain,
% 55.10/35.27 (v130(constB171, 0)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[34883, 35698])).
% 55.10/35.27 tff(35700,plain,
% 55.10/35.27 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB171)) | (~v130(constB171, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB171)) | (~v130(constB171, 0)))),
% 55.10/35.27 inference(rewrite,[status(thm)],[])).
% 55.10/35.27 tff(35701,plain,
% 55.10/35.27 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB171)) | (~v130(constB171, 0)))),
% 55.10/35.27 inference(quant_inst,[status(thm)],[])).
% 55.10/35.27 tff(35702,plain,
% 55.10/35.27 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB171)) | (~v130(constB171, 0))),
% 55.10/35.27 inference(modus_ponens,[status(thm)],[35701, 35700])).
% 55.10/35.27 tff(35703,plain,
% 55.10/35.27 (~v122(constB171)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35702, 2407, 35699])).
% 55.10/35.27 tff(35704,assumption,(~v90(constB171, 2)), introduced(assumption)).
% 55.10/35.27 tff(35705,plain,
% 55.10/35.27 (v100(constB172)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35295, 35704, 35639])).
% 55.10/35.27 tff(35706,plain,
% 55.10/35.27 (v129(constB172, 2)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35640, 35705])).
% 55.10/35.27 tff(35707,plain,
% 55.10/35.27 (v127(constB171, 2)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35390, 35706])).
% 55.10/35.27 tff(35708,plain,
% 55.10/35.27 (v130(constB171, 2)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35385, 35707])).
% 55.10/35.27 tff(35709,assumption,(v90(constB171, 1)), introduced(assumption)).
% 55.10/35.27 tff(35710,plain,
% 55.10/35.27 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB171, 0)) | (~v90(constB171, 1)) | v90(constB171, 2) | v122(constB171))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB171, 0)) | (~v90(constB171, 1)) | v90(constB171, 2) | v122(constB171))),
% 55.10/35.27 inference(rewrite,[status(thm)],[])).
% 55.10/35.27 tff(35711,plain,
% 55.10/35.27 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB171, 0)) | (~v90(constB171, 1)) | v90(constB171, 2) | v122(constB171))),
% 55.10/35.27 inference(quant_inst,[status(thm)],[])).
% 55.10/35.27 tff(35712,plain,
% 55.10/35.27 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB171, 0)) | (~v90(constB171, 1)) | v90(constB171, 2) | v122(constB171)),
% 55.10/35.27 inference(modus_ponens,[status(thm)],[35711, 35710])).
% 55.10/35.27 tff(35713,plain,
% 55.10/35.27 ((~v90(constB171, 0)) | v90(constB171, 2)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35712, 1956, 35709, 35587])).
% 55.10/35.27 tff(35714,plain,
% 55.10/35.27 (~v90(constB171, 0)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35713, 35704])).
% 55.10/35.27 tff(35715,plain,
% 55.10/35.27 (v90(constB171, 0) | v90(constB171, 2) | v121(constB171)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35277, 1731, 35709])).
% 55.10/35.27 tff(35716,plain,
% 55.10/35.27 (v121(constB171)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35715, 35714, 35704])).
% 55.10/35.27 tff(35717,plain,
% 55.10/35.27 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB171)) | (~v130(constB171, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB171)) | (~v130(constB171, 2)))),
% 55.10/35.27 inference(rewrite,[status(thm)],[])).
% 55.10/35.27 tff(35718,plain,
% 55.10/35.27 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB171)) | (~v130(constB171, 2)))),
% 55.10/35.27 inference(quant_inst,[status(thm)],[])).
% 55.10/35.27 tff(35719,plain,
% 55.10/35.27 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB171)) | (~v130(constB171, 2))),
% 55.10/35.27 inference(modus_ponens,[status(thm)],[35718, 35717])).
% 55.10/35.27 tff(35720,plain,
% 55.10/35.27 ($false),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35719, 1821, 35716, 35708])).
% 55.10/35.27 tff(35721,plain,(v90(constB171, 2) | (~v90(constB171, 1)) | (~v90(constB172, 2)) | v122(constB171)), inference(lemma,lemma(discharge,[]))).
% 55.10/35.27 tff(35722,plain,
% 55.10/35.27 (v90(constB171, 2)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35721, 35703, 35627, 35697])).
% 55.10/35.27 tff(35723,plain,
% 55.10/35.27 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB171)) | (~v90(constB171, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB171)) | (~v90(constB171, 2)))),
% 55.10/35.27 inference(rewrite,[status(thm)],[])).
% 55.10/35.27 tff(35724,plain,
% 55.10/35.27 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB171)) | (~v90(constB171, 2)))),
% 55.10/35.27 inference(quant_inst,[status(thm)],[])).
% 55.10/35.27 tff(35725,plain,
% 55.10/35.27 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB171)) | (~v90(constB171, 2))),
% 55.10/35.27 inference(modus_ponens,[status(thm)],[35724, 35723])).
% 55.10/35.27 tff(35726,plain,
% 55.10/35.27 (~v121(constB171)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35725, 2857, 35722])).
% 55.10/35.27 tff(35727,plain,
% 55.10/35.27 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB171)) | (~v90(constB171, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB171)) | (~v90(constB171, 1)))),
% 55.10/35.27 inference(rewrite,[status(thm)],[])).
% 55.10/35.27 tff(35728,plain,
% 55.10/35.27 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB171)) | (~v90(constB171, 1)))),
% 55.10/35.27 inference(quant_inst,[status(thm)],[])).
% 55.10/35.27 tff(35729,plain,
% 55.10/35.27 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB171)) | (~v90(constB171, 1))),
% 55.10/35.27 inference(modus_ponens,[status(thm)],[35728, 35727])).
% 55.10/35.27 tff(35730,plain,
% 55.10/35.27 (~v119(constB171)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35729, 2868, 35697])).
% 55.10/35.27 tff(35731,plain,
% 55.10/35.27 (~v120(constB171)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[34871, 1657, 35699])).
% 55.10/35.27 tff(35732,plain,
% 55.10/35.27 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB171)) | (~v90(constB171, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB171)) | (~v90(constB171, 1)))),
% 55.10/35.27 inference(rewrite,[status(thm)],[])).
% 55.10/35.27 tff(35733,plain,
% 55.10/35.27 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB171)) | (~v90(constB171, 1)))),
% 55.10/35.27 inference(quant_inst,[status(thm)],[])).
% 55.10/35.27 tff(35734,plain,
% 55.10/35.27 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB171)) | (~v90(constB171, 1))),
% 55.10/35.27 inference(modus_ponens,[status(thm)],[35733, 35732])).
% 55.10/35.27 tff(35735,plain,
% 55.10/35.27 (~v123(constB171)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35734, 2879, 35697])).
% 55.10/35.27 tff(35736,assumption,(~v124(constB171)), introduced(assumption)).
% 55.10/35.27 tff(35737,plain,
% 55.10/35.27 (v121(constB171) | (~v130(constB171, 1))),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35690, 3309, 35736, 35703, 35735, 35731, 35730])).
% 55.10/35.27 tff(35738,plain,
% 55.10/35.27 (~v130(constB171, 1)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35737, 35726])).
% 55.10/35.27 tff(35739,plain,
% 55.10/35.27 ((~v127(constB171, 1)) | v130(constB171, 1)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35679, 1276, 34876])).
% 55.10/35.27 tff(35740,plain,
% 55.10/35.27 (~v127(constB171, 1)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35739, 35738])).
% 55.10/35.27 tff(35741,plain,
% 55.10/35.27 (~v129(constB172, 1)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35672, 35740])).
% 55.10/35.27 tff(35742,plain,
% 55.10/35.27 (v129(constB172, 1) | (~v100(constB172))),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35666, 1309, 35636])).
% 55.10/35.27 tff(35743,plain,
% 55.10/35.27 (~v100(constB172)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35742, 35741])).
% 55.10/35.27 tff(35744,plain,
% 55.10/35.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB171, 0) | (~nextState(constB171, constB172)) | v100(constB172) | (~v90(constB172, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB171, 0) | (~nextState(constB171, constB172)) | v100(constB172) | (~v90(constB172, 0)))),
% 55.10/35.27 inference(rewrite,[status(thm)],[])).
% 55.10/35.27 tff(35745,plain,
% 55.10/35.27 (((~nextState(constB171, constB172)) | v90(constB171, 0) | v100(constB172) | (~v90(constB172, 0))) <=> (v90(constB171, 0) | (~nextState(constB171, constB172)) | v100(constB172) | (~v90(constB172, 0)))),
% 55.10/35.27 inference(rewrite,[status(thm)],[])).
% 55.10/35.27 tff(35746,plain,
% 55.10/35.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB171, constB172)) | v90(constB171, 0) | v100(constB172) | (~v90(constB172, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB171, 0) | (~nextState(constB171, constB172)) | v100(constB172) | (~v90(constB172, 0))))),
% 55.10/35.27 inference(monotonicity,[status(thm)],[35745])).
% 55.10/35.27 tff(35747,plain,
% 55.10/35.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB171, constB172)) | v90(constB171, 0) | v100(constB172) | (~v90(constB172, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB171, 0) | (~nextState(constB171, constB172)) | v100(constB172) | (~v90(constB172, 0)))),
% 55.10/35.27 inference(transitivity,[status(thm)],[35746, 35744])).
% 55.10/35.27 tff(35748,plain,
% 55.10/35.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB171, constB172)) | v90(constB171, 0) | v100(constB172) | (~v90(constB172, 0)))),
% 55.10/35.27 inference(quant_inst,[status(thm)],[])).
% 55.10/35.27 tff(35749,plain,
% 55.10/35.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB171, 0) | (~nextState(constB171, constB172)) | v100(constB172) | (~v90(constB172, 0))),
% 55.10/35.27 inference(modus_ponens,[status(thm)],[35748, 35747])).
% 55.10/35.27 tff(35750,plain,
% 55.10/35.27 (v90(constB171, 0) | v100(constB172) | (~v90(constB172, 0))),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35749, 947, 32114])).
% 55.10/35.27 tff(35751,plain,
% 55.10/35.27 (v90(constB171, 0)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35750, 35743, 35626])).
% 55.10/35.27 tff(35752,plain,
% 55.10/35.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB170, 0) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB170, 0) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, 0)))),
% 55.10/35.27 inference(rewrite,[status(thm)],[])).
% 55.10/35.27 tff(35753,plain,
% 55.10/35.27 (((~nextState(constB170, constB171)) | v90(constB170, 0) | v100(constB171) | (~v90(constB171, 0))) <=> (v90(constB170, 0) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, 0)))),
% 55.10/35.27 inference(rewrite,[status(thm)],[])).
% 55.10/35.27 tff(35754,plain,
% 55.10/35.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB170, constB171)) | v90(constB170, 0) | v100(constB171) | (~v90(constB171, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB170, 0) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, 0))))),
% 55.10/35.27 inference(monotonicity,[status(thm)],[35753])).
% 55.10/35.27 tff(35755,plain,
% 55.10/35.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB170, constB171)) | v90(constB170, 0) | v100(constB171) | (~v90(constB171, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB170, 0) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, 0)))),
% 55.10/35.27 inference(transitivity,[status(thm)],[35754, 35752])).
% 55.10/35.27 tff(35756,plain,
% 55.10/35.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB170, constB171)) | v90(constB170, 0) | v100(constB171) | (~v90(constB171, 0)))),
% 55.10/35.27 inference(quant_inst,[status(thm)],[])).
% 55.10/35.27 tff(35757,plain,
% 55.10/35.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB170, 0) | (~nextState(constB170, constB171)) | v100(constB171) | (~v90(constB171, 0))),
% 55.10/35.27 inference(modus_ponens,[status(thm)],[35756, 35755])).
% 55.10/35.27 tff(35758,plain,
% 55.10/35.27 (v90(constB170, 0) | v100(constB171) | (~v90(constB171, 0))),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35757, 947, 31794])).
% 55.10/35.27 tff(35759,plain,
% 55.10/35.27 (v90(constB170, 0) | (~v90(constB171, 0))),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35758, 31806])).
% 55.10/35.27 tff(35760,plain,
% 55.10/35.27 (v90(constB170, 0)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[35759, 35751])).
% 55.10/35.27 tff(35761,plain,
% 55.10/35.27 (v90(constB170, 1)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[31852, 35697])).
% 55.10/35.27 tff(35762,plain,
% 55.10/35.27 (v90(constB170, 2)),
% 55.10/35.27 inference(unit_resolution,[status(thm)],[31814, 35722])).
% 55.10/35.27 tff(35763,assumption,(v90(constB170, 2)), introduced(assumption)).
% 55.10/35.27 tff(35764,plain,
% 55.10/35.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB169, 2) | (~nextState(constB169, constB170)) | v100(constB170) | (~v90(constB170, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB169, 2) | (~nextState(constB169, constB170)) | v100(constB170) | (~v90(constB170, 2)))),
% 55.10/35.27 inference(rewrite,[status(thm)],[])).
% 55.10/35.28 tff(35765,plain,
% 55.10/35.28 (((~nextState(constB169, constB170)) | v90(constB169, 2) | v100(constB170) | (~v90(constB170, 2))) <=> (v90(constB169, 2) | (~nextState(constB169, constB170)) | v100(constB170) | (~v90(constB170, 2)))),
% 55.10/35.28 inference(rewrite,[status(thm)],[])).
% 55.10/35.28 tff(35766,plain,
% 55.10/35.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB169, constB170)) | v90(constB169, 2) | v100(constB170) | (~v90(constB170, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB169, 2) | (~nextState(constB169, constB170)) | v100(constB170) | (~v90(constB170, 2))))),
% 55.10/35.28 inference(monotonicity,[status(thm)],[35765])).
% 55.10/35.28 tff(35767,plain,
% 55.10/35.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB169, constB170)) | v90(constB169, 2) | v100(constB170) | (~v90(constB170, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB169, 2) | (~nextState(constB169, constB170)) | v100(constB170) | (~v90(constB170, 2)))),
% 55.10/35.28 inference(transitivity,[status(thm)],[35766, 35764])).
% 55.10/35.28 tff(35768,plain,
% 55.10/35.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB169, constB170)) | v90(constB169, 2) | v100(constB170) | (~v90(constB170, 2)))),
% 55.10/35.28 inference(quant_inst,[status(thm)],[])).
% 55.10/35.28 tff(35769,plain,
% 55.10/35.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB169, 2) | (~nextState(constB169, constB170)) | v100(constB170) | (~v90(constB170, 2))),
% 55.10/35.28 inference(modus_ponens,[status(thm)],[35768, 35767])).
% 55.10/35.28 tff(35770,plain,
% 55.10/35.28 (v90(constB169, 2) | v100(constB170) | (~v90(constB170, 2))),
% 55.10/35.28 inference(unit_resolution,[status(thm)],[35769, 905, 31711])).
% 55.10/35.28 tff(35771,plain,
% 55.10/35.28 (v90(constB169, 2)),
% 55.10/35.28 inference(unit_resolution,[status(thm)],[35770, 35104, 35763])).
% 55.10/35.28 tff(35772,plain,
% 55.10/35.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB168, 2) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB168, 2) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, 2)))),
% 55.10/35.28 inference(rewrite,[status(thm)],[])).
% 55.10/35.28 tff(35773,plain,
% 55.10/35.28 (((~nextState(constB168, constB169)) | v90(constB168, 2) | v100(constB169) | (~v90(constB169, 2))) <=> (v90(constB168, 2) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, 2)))),
% 55.10/35.28 inference(rewrite,[status(thm)],[])).
% 55.10/35.28 tff(35774,plain,
% 55.10/35.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB168, constB169)) | v90(constB168, 2) | v100(constB169) | (~v90(constB169, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB168, 2) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, 2))))),
% 55.10/35.28 inference(monotonicity,[status(thm)],[35773])).
% 55.10/35.28 tff(35775,plain,
% 55.10/35.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB168, constB169)) | v90(constB168, 2) | v100(constB169) | (~v90(constB169, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB168, 2) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, 2)))),
% 55.10/35.28 inference(transitivity,[status(thm)],[35774, 35772])).
% 55.10/35.28 tff(35776,plain,
% 55.10/35.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB168, constB169)) | v90(constB168, 2) | v100(constB169) | (~v90(constB169, 2)))),
% 55.10/35.28 inference(quant_inst,[status(thm)],[])).
% 55.10/35.28 tff(35777,plain,
% 55.10/35.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB168, 2) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, 2))),
% 55.10/35.28 inference(modus_ponens,[status(thm)],[35776, 35775])).
% 55.10/35.28 tff(35778,plain,
% 55.10/35.28 (v90(constB168, 2) | v100(constB169) | (~v90(constB169, 2))),
% 55.10/35.28 inference(unit_resolution,[status(thm)],[35777, 905, 31598])).
% 55.10/35.28 tff(35779,plain,
% 55.10/35.28 (v90(constB168, 2) | (~v90(constB169, 2))),
% 55.10/35.28 inference(unit_resolution,[status(thm)],[35778, 31610])).
% 55.10/35.28 tff(35780,plain,
% 55.10/35.28 (v90(constB168, 2)),
% 55.10/35.28 inference(unit_resolution,[status(thm)],[35779, 35771])).
% 55.10/35.28 tff(35781,assumption,(v90(constB170, 1)), introduced(assumption)).
% 55.10/35.28 tff(35782,plain,
% 55.10/35.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB169, 1) | (~nextState(constB169, constB170)) | v100(constB170) | (~v90(constB170, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB169, 1) | (~nextState(constB169, constB170)) | v100(constB170) | (~v90(constB170, 1)))),
% 55.10/35.28 inference(rewrite,[status(thm)],[])).
% 55.10/35.28 tff(35783,plain,
% 55.10/35.28 (((~nextState(constB169, constB170)) | v90(constB169, 1) | v100(constB170) | (~v90(constB170, 1))) <=> (v90(constB169, 1) | (~nextState(constB169, constB170)) | v100(constB170) | (~v90(constB170, 1)))),
% 55.10/35.28 inference(rewrite,[status(thm)],[])).
% 55.10/35.28 tff(35784,plain,
% 55.10/35.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB169, constB170)) | v90(constB169, 1) | v100(constB170) | (~v90(constB170, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB169, 1) | (~nextState(constB169, constB170)) | v100(constB170) | (~v90(constB170, 1))))),
% 55.10/35.28 inference(monotonicity,[status(thm)],[35783])).
% 55.10/35.28 tff(35785,plain,
% 55.10/35.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB169, constB170)) | v90(constB169, 1) | v100(constB170) | (~v90(constB170, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB169, 1) | (~nextState(constB169, constB170)) | v100(constB170) | (~v90(constB170, 1)))),
% 55.10/35.28 inference(transitivity,[status(thm)],[35784, 35782])).
% 55.10/35.28 tff(35786,plain,
% 55.10/35.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB169, constB170)) | v90(constB169, 1) | v100(constB170) | (~v90(constB170, 1)))),
% 55.10/35.28 inference(quant_inst,[status(thm)],[])).
% 55.10/35.28 tff(35787,plain,
% 55.10/35.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB169, 1) | (~nextState(constB169, constB170)) | v100(constB170) | (~v90(constB170, 1))),
% 55.10/35.28 inference(modus_ponens,[status(thm)],[35786, 35785])).
% 55.10/35.28 tff(35788,plain,
% 55.10/35.28 (v90(constB169, 1) | v100(constB170) | (~v90(constB170, 1))),
% 55.10/35.28 inference(unit_resolution,[status(thm)],[35787, 926, 31711])).
% 55.10/35.28 tff(35789,plain,
% 55.10/35.28 (v90(constB169, 1)),
% 55.10/35.28 inference(unit_resolution,[status(thm)],[35788, 35104, 35781])).
% 55.10/35.28 tff(35790,plain,
% 55.10/35.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB168, 1) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB168, 1) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, 1)))),
% 55.10/35.28 inference(rewrite,[status(thm)],[])).
% 55.10/35.28 tff(35791,plain,
% 55.10/35.28 (((~nextState(constB168, constB169)) | v90(constB168, 1) | v100(constB169) | (~v90(constB169, 1))) <=> (v90(constB168, 1) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, 1)))),
% 55.10/35.28 inference(rewrite,[status(thm)],[])).
% 55.10/35.28 tff(35792,plain,
% 55.10/35.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB168, constB169)) | v90(constB168, 1) | v100(constB169) | (~v90(constB169, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB168, 1) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, 1))))),
% 55.10/35.28 inference(monotonicity,[status(thm)],[35791])).
% 55.10/35.28 tff(35793,plain,
% 55.10/35.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB168, constB169)) | v90(constB168, 1) | v100(constB169) | (~v90(constB169, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB168, 1) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, 1)))),
% 55.10/35.28 inference(transitivity,[status(thm)],[35792, 35790])).
% 55.10/35.28 tff(35794,plain,
% 55.10/35.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB168, constB169)) | v90(constB168, 1) | v100(constB169) | (~v90(constB169, 1)))),
% 55.10/35.28 inference(quant_inst,[status(thm)],[])).
% 55.10/35.28 tff(35795,plain,
% 55.10/35.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB168, 1) | (~nextState(constB168, constB169)) | v100(constB169) | (~v90(constB169, 1))),
% 55.10/35.28 inference(modus_ponens,[status(thm)],[35794, 35793])).
% 55.10/35.28 tff(35796,plain,
% 55.10/35.28 (v90(constB168, 1) | v100(constB169) | (~v90(constB169, 1))),
% 55.10/35.28 inference(unit_resolution,[status(thm)],[35795, 926, 31598])).
% 55.10/35.28 tff(35797,plain,
% 55.10/35.28 (v90(constB168, 1) | (~v90(constB169, 1))),
% 55.10/35.28 inference(unit_resolution,[status(thm)],[35796, 31610])).
% 55.10/35.28 tff(35798,plain,
% 55.10/35.28 (v90(constB168, 1)),
% 55.10/35.28 inference(unit_resolution,[status(thm)],[35797, 35789])).
% 55.10/35.28 tff(35799,assumption,(v90(constB170, 0)), introduced(assumption)).
% 55.10/35.28 tff(35800,plain,
% 55.10/35.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB169, 0) | (~nextState(constB169, constB170)) | v100(constB170) | (~v90(constB170, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB169, 0) | (~nextState(constB169, constB170)) | v100(constB170) | (~v90(constB170, 0)))),
% 55.10/35.28 inference(rewrite,[status(thm)],[])).
% 55.10/35.28 tff(35801,plain,
% 55.10/35.28 (((~nextState(constB169, constB170)) | v90(constB169, 0) | v100(constB170) | (~v90(constB170, 0))) <=> (v90(constB169, 0) | (~nextState(constB169, constB170)) | v100(constB170) | (~v90(constB170, 0)))),
% 55.10/35.28 inference(rewrite,[status(thm)],[])).
% 55.10/35.28 tff(35802,plain,
% 55.10/35.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB169, constB170)) | v90(constB169, 0) | v100(constB170) | (~v90(constB170, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB169, 0) | (~nextState(constB169, constB170)) | v100(constB170) | (~v90(constB170, 0))))),
% 55.10/35.28 inference(monotonicity,[status(thm)],[35801])).
% 55.10/35.28 tff(35803,plain,
% 55.10/35.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB169, constB170)) | v90(constB169, 0) | v100(constB170) | (~v90(constB170, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB169, 0) | (~nextState(constB169, constB170)) | v100(constB170) | (~v90(constB170, 0)))),
% 55.10/35.28 inference(transitivity,[status(thm)],[35802, 35800])).
% 55.10/35.28 tff(35804,plain,
% 55.10/35.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB169, constB170)) | v90(constB169, 0) | v100(constB170) | (~v90(constB170, 0)))),
% 55.10/35.28 inference(quant_inst,[status(thm)],[])).
% 55.10/35.28 tff(35805,plain,
% 55.10/35.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB169, 0) | (~nextState(constB169, constB170)) | v100(constB170) | (~v90(constB170, 0))),
% 55.10/35.28 inference(modus_ponens,[status(thm)],[35804, 35803])).
% 55.10/35.28 tff(35806,plain,
% 55.10/35.28 (v90(constB169, 0) | v100(constB170) | (~v90(constB170, 0))),
% 55.10/35.28 inference(unit_resolution,[status(thm)],[35805, 947, 31711])).
% 55.10/35.28 tff(35807,plain,
% 55.10/35.28 (v90(constB169, 0)),
% 55.10/35.28 inference(unit_resolution,[status(thm)],[35806, 35104, 35799])).
% 55.10/35.28 tff(35808,plain,
% 55.10/35.28 (v90(constB168, 0)),
% 55.10/35.28 inference(unit_resolution,[status(thm)],[31683, 35807])).
% 55.10/35.28 tff(35809,assumption,(~v127(constB167, 0)), introduced(assumption)).
% 55.10/35.28 tff(35810,plain,
% 55.10/35.28 (~v129(constB168, 0)),
% 55.10/35.28 inference(unit_resolution,[status(thm)],[31666, 35809])).
% 55.10/35.28 tff(35811,assumption,(v90(constB168, 0)), introduced(assumption)).
% 55.10/35.28 tff(35812,plain,
% 55.10/35.28 (v129(constB168, 0) | (~v100(constB168))),
% 55.10/35.28 inference(unit_resolution,[status(thm)],[31673, 1704, 35811])).
% 55.10/35.28 tff(35813,plain,
% 55.10/35.28 (~v100(constB168)),
% 55.10/35.28 inference(unit_resolution,[status(thm)],[35812, 35810])).
% 55.10/35.28 tff(35814,plain,
% 55.10/35.28 (~v110(constB168)),
% 55.10/35.28 inference(unit_resolution,[status(thm)],[31565, 35813])).
% 55.10/35.28 tff(35815,plain,
% 55.10/35.28 (~v108(constB167)),
% 55.10/35.28 inference(unit_resolution,[status(thm)],[31539, 35814])).
% 55.10/35.28 tff(35816,plain,
% 55.10/35.28 (~v26(constB167)),
% 55.10/35.28 inference(unit_resolution,[status(thm)],[31517, 2050, 35815])).
% 55.10/35.28 tff(35817,plain,
% 55.10/35.28 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB167) | (~v130(constB167, 0)) | v127(constB167, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB167) | (~v130(constB167, 0)) | v127(constB167, 0))),
% 55.10/35.28 inference(rewrite,[status(thm)],[])).
% 55.10/35.28 tff(35818,plain,
% 55.10/35.28 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB167) | (~v130(constB167, 0)) | v127(constB167, 0))),
% 55.10/35.28 inference(quant_inst,[status(thm)],[])).
% 55.10/35.28 tff(35819,plain,
% 55.10/35.28 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB167) | (~v130(constB167, 0)) | v127(constB167, 0)),
% 55.10/35.28 inference(modus_ponens,[status(thm)],[35818, 35817])).
% 55.10/35.28 tff(35820,plain,
% 55.10/35.28 (v26(constB167) | (~v130(constB167, 0))),
% 55.10/35.28 inference(unit_resolution,[status(thm)],[35819, 1347, 35809])).
% 55.10/35.28 tff(35821,plain,
% 55.10/35.28 (~v130(constB167, 0)),
% 55.10/35.28 inference(unit_resolution,[status(thm)],[35820, 35816])).
% 55.10/35.28 tff(35822,assumption,(v90(constB168, 2)), introduced(assumption)).
% 55.10/35.28 tff(35823,plain,
% 55.10/35.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB167, 2) | (~nextState(constB167, constB168)) | v100(constB168) | (~v90(constB168, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB167, 2) | (~nextState(constB167, constB168)) | v100(constB168) | (~v90(constB168, 2)))),
% 55.10/35.28 inference(rewrite,[status(thm)],[])).
% 55.10/35.28 tff(35824,plain,
% 55.10/35.28 (((~nextState(constB167, constB168)) | v90(constB167, 2) | v100(constB168) | (~v90(constB168, 2))) <=> (v90(constB167, 2) | (~nextState(constB167, constB168)) | v100(constB168) | (~v90(constB168, 2)))),
% 55.10/35.28 inference(rewrite,[status(thm)],[])).
% 55.10/35.28 tff(35825,plain,
% 55.10/35.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB167, constB168)) | v90(constB167, 2) | v100(constB168) | (~v90(constB168, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB167, 2) | (~nextState(constB167, constB168)) | v100(constB168) | (~v90(constB168, 2))))),
% 55.10/35.28 inference(monotonicity,[status(thm)],[35824])).
% 55.10/35.28 tff(35826,plain,
% 55.10/35.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB167, constB168)) | v90(constB167, 2) | v100(constB168) | (~v90(constB168, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB167, 2) | (~nextState(constB167, constB168)) | v100(constB168) | (~v90(constB168, 2)))),
% 55.10/35.28 inference(transitivity,[status(thm)],[35825, 35823])).
% 55.10/35.28 tff(35827,plain,
% 55.10/35.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB167, constB168)) | v90(constB167, 2) | v100(constB168) | (~v90(constB168, 2)))),
% 55.10/35.28 inference(quant_inst,[status(thm)],[])).
% 55.10/35.28 tff(35828,plain,
% 55.10/35.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB167, 2) | (~nextState(constB167, constB168)) | v100(constB168) | (~v90(constB168, 2))),
% 55.10/35.28 inference(modus_ponens,[status(thm)],[35827, 35826])).
% 55.10/35.28 tff(35829,plain,
% 55.10/35.28 (v90(constB167, 2) | v100(constB168) | (~v90(constB168, 2))),
% 55.10/35.28 inference(unit_resolution,[status(thm)],[35828, 905, 31532])).
% 55.10/35.28 tff(35830,plain,
% 55.10/35.28 (v90(constB167, 2)),
% 55.10/35.28 inference(unit_resolution,[status(thm)],[35829, 35813, 35822])).
% 55.10/35.28 tff(35831,plain,
% 55.10/35.28 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB167)) | (~v90(constB167, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB167)) | (~v90(constB167, 2)))),
% 55.10/35.28 inference(rewrite,[status(thm)],[])).
% 55.10/35.28 tff(35832,plain,
% 55.10/35.28 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB167)) | (~v90(constB167, 2)))),
% 55.10/35.28 inference(quant_inst,[status(thm)],[])).
% 55.10/35.28 tff(35833,plain,
% 55.10/35.28 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB167)) | (~v90(constB167, 2))),
% 55.10/35.28 inference(modus_ponens,[status(thm)],[35832, 35831])).
% 55.10/35.28 tff(35834,plain,
% 55.10/35.28 (~v122(constB167)),
% 55.10/35.28 inference(unit_resolution,[status(thm)],[35833, 2797, 35830])).
% 55.10/35.28 tff(35835,assumption,(v90(constB168, 1)), introduced(assumption)).
% 55.10/35.28 tff(35836,plain,
% 55.10/35.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB167, 1) | (~nextState(constB167, constB168)) | v100(constB168) | (~v90(constB168, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB167, 1) | (~nextState(constB167, constB168)) | v100(constB168) | (~v90(constB168, 1)))),
% 55.10/35.28 inference(rewrite,[status(thm)],[])).
% 55.10/35.28 tff(35837,plain,
% 55.10/35.28 (((~nextState(constB167, constB168)) | v90(constB167, 1) | v100(constB168) | (~v90(constB168, 1))) <=> (v90(constB167, 1) | (~nextState(constB167, constB168)) | v100(constB168) | (~v90(constB168, 1)))),
% 55.10/35.28 inference(rewrite,[status(thm)],[])).
% 55.10/35.28 tff(35838,plain,
% 55.10/35.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB167, constB168)) | v90(constB167, 1) | v100(constB168) | (~v90(constB168, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB167, 1) | (~nextState(constB167, constB168)) | v100(constB168) | (~v90(constB168, 1))))),
% 55.10/35.28 inference(monotonicity,[status(thm)],[35837])).
% 55.10/35.28 tff(35839,plain,
% 55.10/35.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB167, constB168)) | v90(constB167, 1) | v100(constB168) | (~v90(constB168, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB167, 1) | (~nextState(constB167, constB168)) | v100(constB168) | (~v90(constB168, 1)))),
% 55.10/35.28 inference(transitivity,[status(thm)],[35838, 35836])).
% 55.10/35.28 tff(35840,plain,
% 55.10/35.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB167, constB168)) | v90(constB167, 1) | v100(constB168) | (~v90(constB168, 1)))),
% 55.10/35.28 inference(quant_inst,[status(thm)],[])).
% 55.10/35.28 tff(35841,plain,
% 55.10/35.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB167, 1) | (~nextState(constB167, constB168)) | v100(constB168) | (~v90(constB168, 1))),
% 55.10/35.28 inference(modus_ponens,[status(thm)],[35840, 35839])).
% 55.10/35.28 tff(35842,plain,
% 55.10/35.28 (v90(constB167, 1) | v100(constB168) | (~v90(constB168, 1))),
% 55.10/35.28 inference(unit_resolution,[status(thm)],[35841, 926, 31532])).
% 55.10/35.28 tff(35843,plain,
% 55.10/35.28 (v90(constB167, 1)),
% 55.10/35.28 inference(unit_resolution,[status(thm)],[35842, 35813, 35835])).
% 55.10/35.28 tff(35844,plain,
% 55.10/35.28 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB167)) | (~v90(constB167, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB167)) | (~v90(constB167, 1)))),
% 55.10/35.28 inference(rewrite,[status(thm)],[])).
% 55.10/35.28 tff(35845,plain,
% 55.10/35.28 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB167)) | (~v90(constB167, 1)))),
% 55.10/35.28 inference(quant_inst,[status(thm)],[])).
% 55.10/35.28 tff(35846,plain,
% 55.10/35.28 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB167)) | (~v90(constB167, 1))),
% 55.10/35.28 inference(modus_ponens,[status(thm)],[35845, 35844])).
% 55.10/35.28 tff(35847,plain,
% 55.10/35.28 (~v120(constB167)),
% 55.10/35.28 inference(unit_resolution,[status(thm)],[35846, 2846, 35843])).
% 55.10/35.28 tff(35848,plain,
% 55.10/35.28 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB167)) | (~v90(constB167, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB167)) | (~v90(constB167, 1)))),
% 55.10/35.28 inference(rewrite,[status(thm)],[])).
% 55.10/35.28 tff(35849,plain,
% 55.10/35.28 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB167)) | (~v90(constB167, 1)))),
% 55.10/35.28 inference(quant_inst,[status(thm)],[])).
% 55.10/35.28 tff(35850,plain,
% 55.10/35.28 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB167)) | (~v90(constB167, 1))),
% 55.10/35.28 inference(modus_ponens,[status(thm)],[35849, 35848])).
% 55.10/35.28 tff(35851,plain,
% 55.10/35.28 (~v124(constB167)),
% 55.10/35.28 inference(unit_resolution,[status(thm)],[35850, 2890, 35843])).
% 55.10/35.28 tff(35852,plain,
% 55.10/35.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB167, 0) | (~nextState(constB167, constB168)) | v100(constB168) | (~v90(constB168, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB167, 0) | (~nextState(constB167, constB168)) | v100(constB168) | (~v90(constB168, 0)))),
% 55.10/35.28 inference(rewrite,[status(thm)],[])).
% 55.10/35.28 tff(35853,plain,
% 55.10/35.28 (((~nextState(constB167, constB168)) | v90(constB167, 0) | v100(constB168) | (~v90(constB168, 0))) <=> (v90(constB167, 0) | (~nextState(constB167, constB168)) | v100(constB168) | (~v90(constB168, 0)))),
% 55.10/35.28 inference(rewrite,[status(thm)],[])).
% 55.10/35.28 tff(35854,plain,
% 55.10/35.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB167, constB168)) | v90(constB167, 0) | v100(constB168) | (~v90(constB168, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB167, 0) | (~nextState(constB167, constB168)) | v100(constB168) | (~v90(constB168, 0))))),
% 55.10/35.28 inference(monotonicity,[status(thm)],[35853])).
% 55.10/35.28 tff(35855,plain,
% 55.10/35.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB167, constB168)) | v90(constB167, 0) | v100(constB168) | (~v90(constB168, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB167, 0) | (~nextState(constB167, constB168)) | v100(constB168) | (~v90(constB168, 0)))),
% 55.10/35.28 inference(transitivity,[status(thm)],[35854, 35852])).
% 55.10/35.28 tff(35856,plain,
% 55.10/35.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB167, constB168)) | v90(constB167, 0) | v100(constB168) | (~v90(constB168, 0)))),
% 55.10/35.28 inference(quant_inst,[status(thm)],[])).
% 55.10/35.28 tff(35857,plain,
% 55.10/35.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB167, 0) | (~nextState(constB167, constB168)) | v100(constB168) | (~v90(constB168, 0))),
% 55.10/35.28 inference(modus_ponens,[status(thm)],[35856, 35855])).
% 55.10/35.28 tff(35858,plain,
% 55.10/35.28 (v90(constB167, 0) | v100(constB168) | (~v90(constB168, 0))),
% 55.10/35.28 inference(unit_resolution,[status(thm)],[35857, 947, 31532])).
% 55.10/35.28 tff(35859,plain,
% 55.10/35.28 (v90(constB167, 0)),
% 55.10/35.28 inference(unit_resolution,[status(thm)],[35858, 35813, 35811])).
% 55.10/35.28 tff(35860,plain,
% 55.10/35.28 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v119(constB167)) | (~v90(constB167, 0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | (~v119(constB167)) | (~v90(constB167, 0)))),
% 55.10/35.28 inference(rewrite,[status(thm)],[])).
% 55.10/35.28 tff(35861,plain,
% 55.10/35.28 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v119(constB167)) | (~v90(constB167, 0)))),
% 55.10/35.28 inference(quant_inst,[status(thm)],[])).
% 55.10/35.28 tff(35862,plain,
% 55.10/35.28 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 0)))) | (~v119(constB167)) | (~v90(constB167, 0))),
% 55.10/35.28 inference(modus_ponens,[status(thm)],[35861, 35860])).
% 55.10/35.28 tff(35863,plain,
% 55.10/35.28 (~v119(constB167)),
% 55.10/35.28 inference(unit_resolution,[status(thm)],[35862, 5865, 35859])).
% 55.10/35.28 tff(35864,plain,
% 55.10/35.28 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v121(constB167)) | (~v90(constB167, 0)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | (~v121(constB167)) | (~v90(constB167, 0)))),
% 55.10/35.28 inference(rewrite,[status(thm)],[])).
% 55.10/35.28 tff(35865,plain,
% 55.10/35.28 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v121(constB167)) | (~v90(constB167, 0)))),
% 55.10/35.28 inference(quant_inst,[status(thm)],[])).
% 55.10/35.28 tff(35866,plain,
% 55.10/35.28 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 0)))) | (~v121(constB167)) | (~v90(constB167, 0))),
% 55.10/35.28 inference(modus_ponens,[status(thm)],[35865, 35864])).
% 55.10/35.28 tff(35867,plain,
% 55.10/35.28 (~v121(constB167)),
% 55.10/35.28 inference(unit_resolution,[status(thm)],[35866, 5876, 35859])).
% 55.10/35.28 tff(35868,plain,
% 55.10/35.28 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v123(constB167)) | (~v90(constB167, 0)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | (~v123(constB167)) | (~v90(constB167, 0)))),
% 55.10/35.28 inference(rewrite,[status(thm)],[])).
% 55.10/35.28 tff(35869,plain,
% 55.10/35.28 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | ((~v123(constB167)) | (~v90(constB167, 0)))),
% 55.10/35.28 inference(quant_inst,[status(thm)],[])).
% 55.10/35.28 tff(35870,plain,
% 55.10/35.28 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 0)))) | (~v123(constB167)) | (~v90(constB167, 0))),
% 55.10/35.28 inference(modus_ponens,[status(thm)],[35869, 35868])).
% 55.10/35.28 tff(35871,plain,
% 55.10/35.28 (~v123(constB167)),
% 55.10/35.28 inference(unit_resolution,[status(thm)],[35870, 5887, 35859])).
% 55.10/35.28 tff(35872,plain,
% 55.10/35.28 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB167) | v120(constB167) | v121(constB167) | v122(constB167) | v123(constB167) | v124(constB167) | v130(constB167, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB167) | v120(constB167) | v121(constB167) | v122(constB167) | v123(constB167) | v124(constB167) | v130(constB167, 0))),
% 55.10/35.28 inference(rewrite,[status(thm)],[])).
% 55.10/35.28 tff(35873,plain,
% 55.10/35.28 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB167) | v120(constB167) | v121(constB167) | v122(constB167) | v123(constB167) | v124(constB167) | v130(constB167, 0))),
% 55.10/35.28 inference(quant_inst,[status(thm)],[])).
% 55.10/35.28 tff(35874,plain,
% 55.10/35.28 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB167) | v120(constB167) | v121(constB167) | v122(constB167) | v123(constB167) | v124(constB167) | v130(constB167, 0)),
% 55.10/35.28 inference(modus_ponens,[status(thm)],[35873, 35872])).
% 55.10/35.28 tff(35875,plain,
% 55.10/35.28 ($false),
% 55.10/35.28 inference(unit_resolution,[status(thm)],[35874, 3413, 35871, 35867, 35863, 35851, 35847, 35834, 35821])).
% 55.10/35.28 tff(35876,plain,(v127(constB167, 0) | (~v90(constB168, 2)) | (~v90(constB168, 1)) | (~v90(constB168, 0))), inference(lemma,lemma(discharge,[]))).
% 55.10/35.28 tff(35877,plain,
% 55.10/35.28 (v127(constB167, 0)),
% 55.10/35.28 inference(unit_resolution,[status(thm)],[35876, 35780, 35808, 35798])).
% 55.10/35.28 tff(35878,plain,
% 55.10/35.28 (v130(constB167, 0)),
% 55.10/35.28 inference(unit_resolution,[status(thm)],[31661, 35877])).
% 55.10/35.28 tff(35879,plain,
% 55.10/35.28 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB167)) | (~v130(constB167, 0)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB167)) | (~v130(constB167, 0)))),
% 55.10/35.28 inference(rewrite,[status(thm)],[])).
% 55.10/35.28 tff(35880,plain,
% 55.10/35.28 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v120(constB167)) | (~v130(constB167, 0)))),
% 55.10/35.28 inference(quant_inst,[status(thm)],[])).
% 55.10/35.28 tff(35881,plain,
% 55.10/35.28 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 0)))) | (~v120(constB167)) | (~v130(constB167, 0))),
% 55.10/35.28 inference(modus_ponens,[status(thm)],[35880, 35879])).
% 55.10/35.28 tff(35882,plain,
% 55.10/35.28 (~v120(constB167)),
% 55.10/35.28 inference(unit_resolution,[status(thm)],[35881, 1657, 35878])).
% 55.10/35.28 tff(35883,plain,
% 55.10/35.28 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB167)) | (~v130(constB167, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB167)) | (~v130(constB167, 0)))),
% 55.10/35.28 inference(rewrite,[status(thm)],[])).
% 55.10/35.28 tff(35884,plain,
% 55.10/35.28 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB167)) | (~v130(constB167, 0)))),
% 55.10/35.28 inference(quant_inst,[status(thm)],[])).
% 55.10/35.28 tff(35885,plain,
% 55.10/35.28 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB167)) | (~v130(constB167, 0))),
% 55.10/35.28 inference(modus_ponens,[status(thm)],[35884, 35883])).
% 55.10/35.28 tff(35886,plain,
% 55.10/35.28 (~v122(constB167)),
% 55.10/35.28 inference(unit_resolution,[status(thm)],[35885, 2407, 35878])).
% 55.10/35.28 tff(35887,plain,
% 55.10/35.28 (~v124(constB167)),
% 55.10/35.28 inference(unit_resolution,[status(thm)],[31653, 3274, 35878])).
% 55.10/35.28 tff(35888,assumption,(v100(constB168)), introduced(assumption)).
% 55.10/35.28 tff(35889,plain,
% 55.10/35.28 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB168, 1)) | v129(constB168, 1) | (~v100(constB168)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB168, 1)) | v129(constB168, 1) | (~v100(constB168)))),
% 55.10/35.28 inference(rewrite,[status(thm)],[])).
% 55.10/35.28 tff(35890,plain,
% 55.10/35.28 (((~v90(constB168, 1)) | (~v100(constB168)) | v129(constB168, 1)) <=> ((~v90(constB168, 1)) | v129(constB168, 1) | (~v100(constB168)))),
% 55.10/35.28 inference(rewrite,[status(thm)],[])).
% 55.10/35.28 tff(35891,plain,
% 55.10/35.28 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB168, 1)) | (~v100(constB168)) | v129(constB168, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB168, 1)) | v129(constB168, 1) | (~v100(constB168))))),
% 55.10/35.28 inference(monotonicity,[status(thm)],[35890])).
% 55.10/35.28 tff(35892,plain,
% 55.10/35.28 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB168, 1)) | (~v100(constB168)) | v129(constB168, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB168, 1)) | v129(constB168, 1) | (~v100(constB168)))),
% 55.10/35.28 inference(transitivity,[status(thm)],[35891, 35889])).
% 55.10/35.28 tff(35893,plain,
% 55.10/35.28 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB168, 1)) | (~v100(constB168)) | v129(constB168, 1))),
% 55.10/35.28 inference(quant_inst,[status(thm)],[])).
% 55.10/35.28 tff(35894,plain,
% 55.10/35.28 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB168, 1)) | v129(constB168, 1) | (~v100(constB168))),
% 55.10/35.28 inference(modus_ponens,[status(thm)],[35893, 35892])).
% 55.10/35.28 tff(35895,plain,
% 55.10/35.28 (v129(constB168, 1) | (~v100(constB168))),
% 55.10/35.28 inference(unit_resolution,[status(thm)],[35894, 1309, 35835])).
% 55.10/35.28 tff(35896,plain,
% 55.10/35.28 (v129(constB168, 1)),
% 55.10/35.28 inference(unit_resolution,[status(thm)],[35895, 35888])).
% 55.10/35.28 tff(35897,plain,
% 55.10/35.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB167, constB168)) | v127(constB167, 1) | (~v129(constB168, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB167, constB168)) | v127(constB167, 1) | (~v129(constB168, 1)))),
% 55.10/35.28 inference(rewrite,[status(thm)],[])).
% 55.10/35.28 tff(35898,plain,
% 55.10/35.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB167, constB168)) | v127(constB167, 1) | (~v129(constB168, 1)))),
% 55.10/35.28 inference(quant_inst,[status(thm)],[])).
% 55.10/35.28 tff(35899,plain,
% 55.10/35.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB167, constB168)) | v127(constB167, 1) | (~v129(constB168, 1))),
% 55.10/35.28 inference(modus_ponens,[status(thm)],[35898, 35897])).
% 55.10/35.28 tff(35900,plain,
% 55.10/35.28 (v127(constB167, 1) | (~v129(constB168, 1))),
% 55.10/35.28 inference(unit_resolution,[status(thm)],[35899, 1294, 31532])).
% 55.10/35.28 tff(35901,plain,
% 55.10/35.28 (v127(constB167, 1)),
% 55.10/35.28 inference(unit_resolution,[status(thm)],[35900, 35896])).
% 55.10/35.28 tff(35902,plain,
% 55.10/35.28 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB167, 1)) | v26(constB167) | v130(constB167, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB167, 1)) | v26(constB167) | v130(constB167, 1))),
% 55.10/35.28 inference(rewrite,[status(thm)],[])).
% 55.10/35.28 tff(35903,plain,
% 55.10/35.28 ((v26(constB167) | v130(constB167, 1) | (~v127(constB167, 1))) <=> ((~v127(constB167, 1)) | v26(constB167) | v130(constB167, 1))),
% 55.10/35.28 inference(rewrite,[status(thm)],[])).
% 55.10/35.28 tff(35904,plain,
% 55.10/35.28 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB167) | v130(constB167, 1) | (~v127(constB167, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB167, 1)) | v26(constB167) | v130(constB167, 1)))),
% 55.10/35.28 inference(monotonicity,[status(thm)],[35903])).
% 55.10/35.28 tff(35905,plain,
% 55.10/35.28 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB167) | v130(constB167, 1) | (~v127(constB167, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB167, 1)) | v26(constB167) | v130(constB167, 1))),
% 55.10/35.28 inference(transitivity,[status(thm)],[35904, 35902])).
% 55.10/35.28 tff(35906,plain,
% 55.10/35.28 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB167) | v130(constB167, 1) | (~v127(constB167, 1)))),
% 55.10/35.28 inference(quant_inst,[status(thm)],[])).
% 55.10/35.28 tff(35907,plain,
% 55.10/35.28 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB167, 1)) | v26(constB167) | v130(constB167, 1)),
% 55.10/35.28 inference(modus_ponens,[status(thm)],[35906, 35905])).
% 55.10/35.28 tff(35908,plain,
% 55.10/35.28 ((~v127(constB167, 1)) | v130(constB167, 1)),
% 55.10/35.28 inference(unit_resolution,[status(thm)],[35907, 1276, 31574])).
% 55.10/35.28 tff(35909,plain,
% 55.10/35.28 (v130(constB167, 1)),
% 55.10/35.28 inference(unit_resolution,[status(thm)],[35908, 35901])).
% 55.10/35.28 tff(35910,plain,
% 55.10/35.28 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB167)) | (~v130(constB167, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB167)) | (~v130(constB167, 1)))),
% 55.10/35.28 inference(rewrite,[status(thm)],[])).
% 55.10/35.28 tff(35911,plain,
% 55.10/35.28 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB167)) | (~v130(constB167, 1)))),
% 55.10/35.28 inference(quant_inst,[status(thm)],[])).
% 55.10/35.28 tff(35912,plain,
% 55.10/35.28 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB167)) | (~v130(constB167, 1))),
% 55.10/35.28 inference(modus_ponens,[status(thm)],[35911, 35910])).
% 55.10/35.28 tff(35913,plain,
% 55.10/35.28 (~v123(constB167)),
% 55.10/35.28 inference(unit_resolution,[status(thm)],[35912, 2581, 35909])).
% 55.10/35.28 tff(35914,plain,
% 55.10/35.28 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB167)) | (~v130(constB167, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB167)) | (~v130(constB167, 1)))),
% 55.10/35.28 inference(rewrite,[status(thm)],[])).
% 55.10/35.28 tff(35915,plain,
% 55.10/35.28 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB167)) | (~v130(constB167, 1)))),
% 55.10/35.28 inference(quant_inst,[status(thm)],[])).
% 55.10/35.28 tff(35916,plain,
% 55.10/35.28 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB167)) | (~v130(constB167, 1))),
% 55.10/35.28 inference(modus_ponens,[status(thm)],[35915, 35914])).
% 55.10/35.28 tff(35917,plain,
% 55.10/35.28 (~v119(constB167)),
% 55.10/35.28 inference(unit_resolution,[status(thm)],[35916, 1262, 35909])).
% 55.10/35.28 tff(35918,plain,
% 55.10/35.28 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB168, 2)) | v129(constB168, 2) | (~v100(constB168)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB168, 2)) | v129(constB168, 2) | (~v100(constB168)))),
% 55.10/35.28 inference(rewrite,[status(thm)],[])).
% 55.10/35.28 tff(35919,plain,
% 55.10/35.28 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB168, 2)) | v129(constB168, 2) | (~v100(constB168)))),
% 55.10/35.28 inference(quant_inst,[status(thm)],[])).
% 55.10/35.28 tff(35920,plain,
% 55.10/35.28 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB168, 2)) | v129(constB168, 2) | (~v100(constB168))),
% 55.10/35.28 inference(modus_ponens,[status(thm)],[35919, 35918])).
% 55.10/35.28 tff(35921,plain,
% 55.10/35.28 (v129(constB168, 2) | (~v100(constB168))),
% 55.10/35.28 inference(unit_resolution,[status(thm)],[35920, 1223, 35822])).
% 55.10/35.28 tff(35922,plain,
% 55.10/35.28 (v129(constB168, 2)),
% 55.10/35.28 inference(unit_resolution,[status(thm)],[35921, 35888])).
% 55.10/35.28 tff(35923,plain,
% 55.10/35.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB167, constB168)) | v127(constB167, 2) | (~v129(constB168, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB167, constB168)) | v127(constB167, 2) | (~v129(constB168, 2)))),
% 55.10/35.28 inference(rewrite,[status(thm)],[])).
% 55.10/35.28 tff(35924,plain,
% 55.10/35.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB167, constB168)) | v127(constB167, 2) | (~v129(constB168, 2)))),
% 55.10/35.28 inference(quant_inst,[status(thm)],[])).
% 55.10/35.28 tff(35925,plain,
% 55.10/35.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB167, constB168)) | v127(constB167, 2) | (~v129(constB168, 2))),
% 55.10/35.28 inference(modus_ponens,[status(thm)],[35924, 35923])).
% 55.10/35.28 tff(35926,plain,
% 55.10/35.28 (v127(constB167, 2) | (~v129(constB168, 2))),
% 55.10/35.28 inference(unit_resolution,[status(thm)],[35925, 1208, 31532])).
% 55.10/35.28 tff(35927,plain,
% 55.10/35.28 (v127(constB167, 2)),
% 55.10/35.28 inference(unit_resolution,[status(thm)],[35926, 35922])).
% 55.10/35.28 tff(35928,plain,
% 55.10/35.28 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB167, 2)) | v26(constB167) | v130(constB167, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB167, 2)) | v26(constB167) | v130(constB167, 2))),
% 55.10/35.28 inference(rewrite,[status(thm)],[])).
% 55.10/35.28 tff(35929,plain,
% 55.10/35.28 ((v26(constB167) | v130(constB167, 2) | (~v127(constB167, 2))) <=> ((~v127(constB167, 2)) | v26(constB167) | v130(constB167, 2))),
% 55.10/35.28 inference(rewrite,[status(thm)],[])).
% 55.10/35.28 tff(35930,plain,
% 55.10/35.28 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB167) | v130(constB167, 2) | (~v127(constB167, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB167, 2)) | v26(constB167) | v130(constB167, 2)))),
% 55.10/35.28 inference(monotonicity,[status(thm)],[35929])).
% 55.10/35.28 tff(35931,plain,
% 55.10/35.28 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB167) | v130(constB167, 2) | (~v127(constB167, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB167, 2)) | v26(constB167) | v130(constB167, 2))),
% 55.10/35.28 inference(transitivity,[status(thm)],[35930, 35928])).
% 55.10/35.28 tff(35932,plain,
% 55.10/35.28 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB167) | v130(constB167, 2) | (~v127(constB167, 2)))),
% 55.10/35.28 inference(quant_inst,[status(thm)],[])).
% 55.10/35.28 tff(35933,plain,
% 55.10/35.28 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB167, 2)) | v26(constB167) | v130(constB167, 2)),
% 55.10/35.28 inference(modus_ponens,[status(thm)],[35932, 35931])).
% 55.10/35.28 tff(35934,plain,
% 55.10/35.28 ((~v127(constB167, 2)) | v130(constB167, 2)),
% 55.10/35.28 inference(unit_resolution,[status(thm)],[35933, 1190, 31574])).
% 55.10/35.28 tff(35935,plain,
% 55.10/35.28 (v130(constB167, 2)),
% 55.10/35.28 inference(unit_resolution,[status(thm)],[35934, 35927])).
% 55.10/35.28 tff(35936,plain,
% 55.10/35.28 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB167)) | (~v130(constB167, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB167)) | (~v130(constB167, 2)))),
% 55.10/35.28 inference(rewrite,[status(thm)],[])).
% 55.10/35.28 tff(35937,plain,
% 55.10/35.28 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB167)) | (~v130(constB167, 2)))),
% 55.10/35.28 inference(quant_inst,[status(thm)],[])).
% 55.10/35.28 tff(35938,plain,
% 55.10/35.28 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB167)) | (~v130(constB167, 2))),
% 55.10/35.28 inference(modus_ponens,[status(thm)],[35937, 35936])).
% 55.10/35.28 tff(35939,plain,
% 55.10/35.28 (~v121(constB167)),
% 55.10/35.28 inference(unit_resolution,[status(thm)],[35938, 1821, 35935])).
% 55.10/35.28 tff(35940,assumption,(~v120(constB167)), introduced(assumption)).
% 55.10/35.28 tff(35941,assumption,(~v122(constB167)), introduced(assumption)).
% 55.10/35.28 tff(35942,assumption,(~v124(constB167)), introduced(assumption)).
% 55.10/35.29 tff(35943,plain,
% 55.10/35.29 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB167) | v120(constB167) | v121(constB167) | v122(constB167) | v123(constB167) | v124(constB167) | (~v130(constB167, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB167) | v120(constB167) | v121(constB167) | v122(constB167) | v123(constB167) | v124(constB167) | (~v130(constB167, 1)))),
% 55.10/35.29 inference(rewrite,[status(thm)],[])).
% 55.10/35.29 tff(35944,plain,
% 55.10/35.29 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB167) | v120(constB167) | v121(constB167) | v122(constB167) | v123(constB167) | v124(constB167) | (~v130(constB167, 1)))),
% 55.10/35.29 inference(quant_inst,[status(thm)],[])).
% 55.10/35.29 tff(35945,plain,
% 55.10/35.29 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB167) | v120(constB167) | v121(constB167) | v122(constB167) | v123(constB167) | v124(constB167) | (~v130(constB167, 1))),
% 55.10/35.29 inference(modus_ponens,[status(thm)],[35944, 35943])).
% 55.10/35.29 tff(35946,plain,
% 55.10/35.29 (v119(constB167) | v121(constB167) | v123(constB167) | (~v130(constB167, 1))),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[35945, 3309, 35942, 35941, 35940])).
% 55.10/35.29 tff(35947,plain,
% 55.10/35.29 ($false),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[35946, 35939, 35917, 35909, 35913])).
% 55.10/35.29 tff(35948,plain,((~v100(constB168)) | v124(constB167) | v122(constB167) | v120(constB167) | (~v90(constB168, 2)) | (~v90(constB168, 1))), inference(lemma,lemma(discharge,[]))).
% 55.10/35.29 tff(35949,plain,
% 55.10/35.29 (~v100(constB168)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[35948, 35887, 35886, 35882, 35780, 35798])).
% 55.10/35.29 tff(35950,plain,
% 55.10/35.29 (v90(constB167, 2)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[35829, 35949, 35780])).
% 55.10/35.29 tff(35951,plain,
% 55.10/35.29 (v90(constB166, 2)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[32802, 35950])).
% 55.10/35.29 tff(35952,plain,
% 55.10/35.29 (v90(constB167, 0)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[35858, 35949, 35808])).
% 55.10/35.29 tff(35953,plain,
% 55.10/35.29 (v90(constB166, 0)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[32867, 35952])).
% 55.10/35.29 tff(35954,plain,
% 55.10/35.29 (v90(constB167, 1)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[35842, 35949, 35798])).
% 55.10/35.29 tff(35955,plain,
% 55.10/35.29 (v90(constB166, 1)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[31416, 35954])).
% 55.10/35.29 tff(35956,assumption,(v90(constB166, 0)), introduced(assumption)).
% 55.10/35.29 tff(35957,assumption,(~v100(constB166)), introduced(assumption)).
% 55.10/35.29 tff(35958,plain,
% 55.10/35.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB165, 0) | (~nextState(constB165, constB166)) | v100(constB166) | (~v90(constB166, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB165, 0) | (~nextState(constB165, constB166)) | v100(constB166) | (~v90(constB166, 0)))),
% 55.10/35.29 inference(rewrite,[status(thm)],[])).
% 55.10/35.29 tff(35959,plain,
% 55.10/35.29 (((~nextState(constB165, constB166)) | v90(constB165, 0) | v100(constB166) | (~v90(constB166, 0))) <=> (v90(constB165, 0) | (~nextState(constB165, constB166)) | v100(constB166) | (~v90(constB166, 0)))),
% 55.10/35.29 inference(rewrite,[status(thm)],[])).
% 55.10/35.29 tff(35960,plain,
% 55.10/35.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB165, constB166)) | v90(constB165, 0) | v100(constB166) | (~v90(constB166, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB165, 0) | (~nextState(constB165, constB166)) | v100(constB166) | (~v90(constB166, 0))))),
% 55.10/35.29 inference(monotonicity,[status(thm)],[35959])).
% 55.10/35.29 tff(35961,plain,
% 55.10/35.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB165, constB166)) | v90(constB165, 0) | v100(constB166) | (~v90(constB166, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB165, 0) | (~nextState(constB165, constB166)) | v100(constB166) | (~v90(constB166, 0)))),
% 55.10/35.29 inference(transitivity,[status(thm)],[35960, 35958])).
% 55.10/35.29 tff(35962,plain,
% 55.10/35.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB165, constB166)) | v90(constB165, 0) | v100(constB166) | (~v90(constB166, 0)))),
% 55.10/35.29 inference(quant_inst,[status(thm)],[])).
% 55.10/35.29 tff(35963,plain,
% 55.10/35.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB165, 0) | (~nextState(constB165, constB166)) | v100(constB166) | (~v90(constB166, 0))),
% 55.10/35.29 inference(modus_ponens,[status(thm)],[35962, 35961])).
% 55.10/35.29 tff(35964,plain,
% 55.10/35.29 (v90(constB165, 0) | v100(constB166) | (~v90(constB166, 0))),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[35963, 947, 31300])).
% 55.10/35.29 tff(35965,plain,
% 55.10/35.29 (v90(constB165, 0)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[35964, 35957, 35956])).
% 55.10/35.29 tff(35966,plain,
% 55.10/35.29 (v90(constB164, 0)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[31258, 35965])).
% 55.10/35.29 tff(35967,assumption,(v90(constB166, 2)), introduced(assumption)).
% 55.10/35.29 tff(35968,plain,
% 55.10/35.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB165, 2) | (~nextState(constB165, constB166)) | v100(constB166) | (~v90(constB166, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB165, 2) | (~nextState(constB165, constB166)) | v100(constB166) | (~v90(constB166, 2)))),
% 55.10/35.29 inference(rewrite,[status(thm)],[])).
% 55.10/35.29 tff(35969,plain,
% 55.10/35.29 (((~nextState(constB165, constB166)) | v90(constB165, 2) | v100(constB166) | (~v90(constB166, 2))) <=> (v90(constB165, 2) | (~nextState(constB165, constB166)) | v100(constB166) | (~v90(constB166, 2)))),
% 55.10/35.29 inference(rewrite,[status(thm)],[])).
% 55.10/35.29 tff(35970,plain,
% 55.10/35.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB165, constB166)) | v90(constB165, 2) | v100(constB166) | (~v90(constB166, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB165, 2) | (~nextState(constB165, constB166)) | v100(constB166) | (~v90(constB166, 2))))),
% 55.10/35.29 inference(monotonicity,[status(thm)],[35969])).
% 55.10/35.29 tff(35971,plain,
% 55.10/35.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB165, constB166)) | v90(constB165, 2) | v100(constB166) | (~v90(constB166, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB165, 2) | (~nextState(constB165, constB166)) | v100(constB166) | (~v90(constB166, 2)))),
% 55.10/35.29 inference(transitivity,[status(thm)],[35970, 35968])).
% 55.10/35.29 tff(35972,plain,
% 55.10/35.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB165, constB166)) | v90(constB165, 2) | v100(constB166) | (~v90(constB166, 2)))),
% 55.10/35.29 inference(quant_inst,[status(thm)],[])).
% 55.10/35.29 tff(35973,plain,
% 55.10/35.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB165, 2) | (~nextState(constB165, constB166)) | v100(constB166) | (~v90(constB166, 2))),
% 55.10/35.29 inference(modus_ponens,[status(thm)],[35972, 35971])).
% 55.10/35.29 tff(35974,plain,
% 55.10/35.29 (v90(constB165, 2) | v100(constB166) | (~v90(constB166, 2))),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[35973, 905, 31300])).
% 55.10/35.29 tff(35975,plain,
% 55.10/35.29 (v90(constB165, 2)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[35974, 35957, 35967])).
% 55.10/35.29 tff(35976,plain,
% 55.10/35.29 (v90(constB164, 2)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[33028, 35975])).
% 55.10/35.29 tff(35977,assumption,(v90(constB166, 1)), introduced(assumption)).
% 55.10/35.29 tff(35978,plain,
% 55.10/35.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB165, 1) | (~nextState(constB165, constB166)) | v100(constB166) | (~v90(constB166, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB165, 1) | (~nextState(constB165, constB166)) | v100(constB166) | (~v90(constB166, 1)))),
% 55.10/35.29 inference(rewrite,[status(thm)],[])).
% 55.10/35.29 tff(35979,plain,
% 55.10/35.29 (((~nextState(constB165, constB166)) | v90(constB165, 1) | v100(constB166) | (~v90(constB166, 1))) <=> (v90(constB165, 1) | (~nextState(constB165, constB166)) | v100(constB166) | (~v90(constB166, 1)))),
% 55.10/35.29 inference(rewrite,[status(thm)],[])).
% 55.10/35.29 tff(35980,plain,
% 55.10/35.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB165, constB166)) | v90(constB165, 1) | v100(constB166) | (~v90(constB166, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB165, 1) | (~nextState(constB165, constB166)) | v100(constB166) | (~v90(constB166, 1))))),
% 55.10/35.29 inference(monotonicity,[status(thm)],[35979])).
% 55.10/35.29 tff(35981,plain,
% 55.10/35.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB165, constB166)) | v90(constB165, 1) | v100(constB166) | (~v90(constB166, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB165, 1) | (~nextState(constB165, constB166)) | v100(constB166) | (~v90(constB166, 1)))),
% 55.10/35.29 inference(transitivity,[status(thm)],[35980, 35978])).
% 55.10/35.29 tff(35982,plain,
% 55.10/35.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB165, constB166)) | v90(constB165, 1) | v100(constB166) | (~v90(constB166, 1)))),
% 55.10/35.29 inference(quant_inst,[status(thm)],[])).
% 55.10/35.29 tff(35983,plain,
% 55.10/35.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB165, 1) | (~nextState(constB165, constB166)) | v100(constB166) | (~v90(constB166, 1))),
% 55.10/35.29 inference(modus_ponens,[status(thm)],[35982, 35981])).
% 55.10/35.29 tff(35984,plain,
% 55.10/35.29 (v90(constB165, 1) | v100(constB166) | (~v90(constB166, 1))),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[35983, 926, 31300])).
% 55.10/35.29 tff(35985,plain,
% 55.10/35.29 (v90(constB165, 1)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[35984, 35957, 35977])).
% 55.10/35.29 tff(35986,plain,
% 55.10/35.29 (v90(constB164, 1)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[31224, 35985])).
% 55.10/35.29 tff(35987,assumption,(v100(constB164)), introduced(assumption)).
% 55.10/35.29 tff(35988,assumption,(v90(constB164, 0)), introduced(assumption)).
% 55.10/35.29 tff(35989,plain,
% 55.10/35.29 (v129(constB164, 0) | (~v100(constB164))),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[31248, 1704, 35988])).
% 55.10/35.29 tff(35990,plain,
% 55.10/35.29 (v129(constB164, 0)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[35989, 35987])).
% 55.10/35.29 tff(35991,plain,
% 55.10/35.29 (v127(constB163, 0)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[31241, 35990])).
% 55.10/35.29 tff(35992,plain,
% 55.10/35.29 (v130(constB163, 0)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[31236, 35991])).
% 55.10/35.29 tff(35993,plain,
% 55.10/35.29 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB163)) | (~v130(constB163, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB163)) | (~v130(constB163, 0)))),
% 55.10/35.29 inference(rewrite,[status(thm)],[])).
% 55.10/35.29 tff(35994,plain,
% 55.10/35.29 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB163)) | (~v130(constB163, 0)))),
% 55.10/35.29 inference(quant_inst,[status(thm)],[])).
% 55.10/35.29 tff(35995,plain,
% 55.10/35.29 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB163)) | (~v130(constB163, 0))),
% 55.10/35.29 inference(modus_ponens,[status(thm)],[35994, 35993])).
% 55.10/35.29 tff(35996,plain,
% 55.10/35.29 (~v124(constB163)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[35995, 3274, 35992])).
% 55.10/35.29 tff(35997,assumption,(v90(constB164, 2)), introduced(assumption)).
% 55.10/35.29 tff(35998,plain,
% 55.10/35.29 (v129(constB164, 2) | (~v100(constB164))),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[33018, 1223, 35997])).
% 55.10/35.29 tff(35999,plain,
% 55.10/35.29 (v129(constB164, 2)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[35998, 35987])).
% 55.10/35.29 tff(36000,plain,
% 55.10/35.29 (v127(constB163, 2)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[33014, 35999])).
% 55.10/35.29 tff(36001,plain,
% 55.10/35.29 (v130(constB163, 2)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[33009, 36000])).
% 55.10/35.29 tff(36002,plain,
% 55.10/35.29 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB163)) | (~v130(constB163, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB163)) | (~v130(constB163, 2)))),
% 55.10/35.29 inference(rewrite,[status(thm)],[])).
% 55.10/35.29 tff(36003,plain,
% 55.10/35.29 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB163)) | (~v130(constB163, 2)))),
% 55.10/35.29 inference(quant_inst,[status(thm)],[])).
% 55.10/35.29 tff(36004,plain,
% 55.10/35.29 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB163)) | (~v130(constB163, 2))),
% 55.10/35.29 inference(modus_ponens,[status(thm)],[36003, 36002])).
% 55.10/35.29 tff(36005,plain,
% 55.10/35.29 (~v121(constB163)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[36004, 1821, 36001])).
% 55.10/35.29 tff(36006,plain,
% 55.10/35.29 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB163)) | (~v130(constB163, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB163)) | (~v130(constB163, 2)))),
% 55.10/35.29 inference(rewrite,[status(thm)],[])).
% 55.10/35.29 tff(36007,plain,
% 55.10/35.29 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB163)) | (~v130(constB163, 2)))),
% 55.10/35.29 inference(quant_inst,[status(thm)],[])).
% 55.10/35.29 tff(36008,plain,
% 55.10/35.29 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB163)) | (~v130(constB163, 2))),
% 55.10/35.29 inference(modus_ponens,[status(thm)],[36007, 36006])).
% 55.10/35.29 tff(36009,plain,
% 55.10/35.29 (~v120(constB163)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[36008, 1523, 36001])).
% 55.10/35.29 tff(36010,plain,
% 55.10/35.29 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB163)) | (~v130(constB163, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB163)) | (~v130(constB163, 2)))),
% 55.10/35.29 inference(rewrite,[status(thm)],[])).
% 55.10/35.29 tff(36011,plain,
% 55.10/35.29 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB163)) | (~v130(constB163, 2)))),
% 55.10/35.29 inference(quant_inst,[status(thm)],[])).
% 55.10/35.29 tff(36012,plain,
% 55.10/35.29 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB163)) | (~v130(constB163, 2))),
% 55.10/35.29 inference(modus_ponens,[status(thm)],[36011, 36010])).
% 55.10/35.29 tff(36013,plain,
% 55.10/35.29 (~v119(constB163)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[36012, 1176, 36001])).
% 55.10/35.29 tff(36014,plain,
% 55.10/35.29 (~v122(constB163)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[31228, 2407, 35992])).
% 55.10/35.29 tff(36015,assumption,(v90(constB164, 1)), introduced(assumption)).
% 55.10/35.29 tff(36016,plain,
% 55.10/35.29 (v129(constB164, 1) | (~v100(constB164))),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[31214, 1309, 36015])).
% 55.10/35.29 tff(36017,plain,
% 55.10/35.29 (v129(constB164, 1)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[36016, 35987])).
% 55.10/35.29 tff(36018,plain,
% 55.10/35.29 (v127(constB163, 1)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[31207, 36017])).
% 55.10/35.29 tff(36019,plain,
% 55.10/35.29 (v130(constB163, 1)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[31202, 36018])).
% 55.10/35.29 tff(36020,plain,
% 55.10/35.29 (v123(constB163)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[33064, 3309, 36019, 36014, 36013, 36009, 36005, 35996])).
% 55.10/35.29 tff(36021,plain,
% 55.10/35.29 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB163)) | (~v130(constB163, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB163)) | (~v130(constB163, 1)))),
% 55.10/35.29 inference(rewrite,[status(thm)],[])).
% 55.10/35.29 tff(36022,plain,
% 55.10/35.29 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB163)) | (~v130(constB163, 1)))),
% 55.10/35.29 inference(quant_inst,[status(thm)],[])).
% 55.10/35.29 tff(36023,plain,
% 55.10/35.29 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB163)) | (~v130(constB163, 1))),
% 55.10/35.29 inference(modus_ponens,[status(thm)],[36022, 36021])).
% 55.10/35.29 tff(36024,plain,
% 55.10/35.29 ($false),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[36023, 2581, 36019, 36020])).
% 55.10/35.29 tff(36025,plain,((~v100(constB164)) | (~v90(constB164, 1)) | (~v90(constB164, 0)) | (~v90(constB164, 2))), inference(lemma,lemma(discharge,[]))).
% 55.10/35.29 tff(36026,plain,
% 55.10/35.29 (~v100(constB164)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[36025, 35986, 35966, 35976])).
% 55.10/35.29 tff(36027,plain,
% 55.10/35.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB163, 0) | (~nextState(constB163, constB164)) | v100(constB164) | (~v90(constB164, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB163, 0) | (~nextState(constB163, constB164)) | v100(constB164) | (~v90(constB164, 0)))),
% 55.10/35.29 inference(rewrite,[status(thm)],[])).
% 55.10/35.29 tff(36028,plain,
% 55.10/35.29 (((~nextState(constB163, constB164)) | v90(constB163, 0) | v100(constB164) | (~v90(constB164, 0))) <=> (v90(constB163, 0) | (~nextState(constB163, constB164)) | v100(constB164) | (~v90(constB164, 0)))),
% 55.10/35.29 inference(rewrite,[status(thm)],[])).
% 55.10/35.29 tff(36029,plain,
% 55.10/35.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB163, constB164)) | v90(constB163, 0) | v100(constB164) | (~v90(constB164, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB163, 0) | (~nextState(constB163, constB164)) | v100(constB164) | (~v90(constB164, 0))))),
% 55.10/35.29 inference(monotonicity,[status(thm)],[36028])).
% 55.10/35.29 tff(36030,plain,
% 55.10/35.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB163, constB164)) | v90(constB163, 0) | v100(constB164) | (~v90(constB164, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB163, 0) | (~nextState(constB163, constB164)) | v100(constB164) | (~v90(constB164, 0)))),
% 55.10/35.29 inference(transitivity,[status(thm)],[36029, 36027])).
% 55.10/35.29 tff(36031,plain,
% 55.10/35.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB163, constB164)) | v90(constB163, 0) | v100(constB164) | (~v90(constB164, 0)))),
% 55.10/35.29 inference(quant_inst,[status(thm)],[])).
% 55.10/35.29 tff(36032,plain,
% 55.10/35.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB163, 0) | (~nextState(constB163, constB164)) | v100(constB164) | (~v90(constB164, 0))),
% 55.10/35.29 inference(modus_ponens,[status(thm)],[36031, 36030])).
% 55.10/35.29 tff(36033,plain,
% 55.10/35.29 (v90(constB163, 0) | v100(constB164) | (~v90(constB164, 0))),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[36032, 947, 31111])).
% 55.10/35.29 tff(36034,plain,
% 55.10/35.29 (v90(constB163, 0)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[36033, 36026, 35966])).
% 55.10/35.29 tff(36035,plain,
% 55.10/35.29 (v90(constB162, 0)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[32963, 36034])).
% 55.10/35.29 tff(36036,plain,
% 55.10/35.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB163, 2) | (~nextState(constB163, constB164)) | v100(constB164) | (~v90(constB164, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB163, 2) | (~nextState(constB163, constB164)) | v100(constB164) | (~v90(constB164, 2)))),
% 55.10/35.29 inference(rewrite,[status(thm)],[])).
% 55.10/35.29 tff(36037,plain,
% 55.10/35.29 (((~nextState(constB163, constB164)) | v90(constB163, 2) | v100(constB164) | (~v90(constB164, 2))) <=> (v90(constB163, 2) | (~nextState(constB163, constB164)) | v100(constB164) | (~v90(constB164, 2)))),
% 55.10/35.29 inference(rewrite,[status(thm)],[])).
% 55.10/35.29 tff(36038,plain,
% 55.10/35.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB163, constB164)) | v90(constB163, 2) | v100(constB164) | (~v90(constB164, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB163, 2) | (~nextState(constB163, constB164)) | v100(constB164) | (~v90(constB164, 2))))),
% 55.10/35.29 inference(monotonicity,[status(thm)],[36037])).
% 55.10/35.29 tff(36039,plain,
% 55.10/35.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB163, constB164)) | v90(constB163, 2) | v100(constB164) | (~v90(constB164, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB163, 2) | (~nextState(constB163, constB164)) | v100(constB164) | (~v90(constB164, 2)))),
% 55.10/35.29 inference(transitivity,[status(thm)],[36038, 36036])).
% 55.10/35.29 tff(36040,plain,
% 55.10/35.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB163, constB164)) | v90(constB163, 2) | v100(constB164) | (~v90(constB164, 2)))),
% 55.10/35.29 inference(quant_inst,[status(thm)],[])).
% 55.10/35.29 tff(36041,plain,
% 55.10/35.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB163, 2) | (~nextState(constB163, constB164)) | v100(constB164) | (~v90(constB164, 2))),
% 55.10/35.29 inference(modus_ponens,[status(thm)],[36040, 36039])).
% 55.10/35.29 tff(36042,plain,
% 55.10/35.29 (v90(constB163, 2) | v100(constB164) | (~v90(constB164, 2))),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[36041, 905, 31111])).
% 55.10/35.29 tff(36043,plain,
% 55.10/35.29 (v90(constB163, 2)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[36042, 36026, 35976])).
% 55.10/35.29 tff(36044,plain,
% 55.10/35.29 (v90(constB162, 2)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[31019, 36043])).
% 55.10/35.29 tff(36045,plain,
% 55.10/35.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB163, 1) | (~nextState(constB163, constB164)) | v100(constB164) | (~v90(constB164, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB163, 1) | (~nextState(constB163, constB164)) | v100(constB164) | (~v90(constB164, 1)))),
% 55.10/35.29 inference(rewrite,[status(thm)],[])).
% 55.10/35.29 tff(36046,plain,
% 55.10/35.29 (((~nextState(constB163, constB164)) | v90(constB163, 1) | v100(constB164) | (~v90(constB164, 1))) <=> (v90(constB163, 1) | (~nextState(constB163, constB164)) | v100(constB164) | (~v90(constB164, 1)))),
% 55.10/35.29 inference(rewrite,[status(thm)],[])).
% 55.10/35.29 tff(36047,plain,
% 55.10/35.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB163, constB164)) | v90(constB163, 1) | v100(constB164) | (~v90(constB164, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB163, 1) | (~nextState(constB163, constB164)) | v100(constB164) | (~v90(constB164, 1))))),
% 55.10/35.29 inference(monotonicity,[status(thm)],[36046])).
% 55.10/35.29 tff(36048,plain,
% 55.10/35.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB163, constB164)) | v90(constB163, 1) | v100(constB164) | (~v90(constB164, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB163, 1) | (~nextState(constB163, constB164)) | v100(constB164) | (~v90(constB164, 1)))),
% 55.10/35.29 inference(transitivity,[status(thm)],[36047, 36045])).
% 55.10/35.29 tff(36049,plain,
% 55.10/35.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB163, constB164)) | v90(constB163, 1) | v100(constB164) | (~v90(constB164, 1)))),
% 55.10/35.29 inference(quant_inst,[status(thm)],[])).
% 55.10/35.29 tff(36050,plain,
% 55.10/35.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB163, 1) | (~nextState(constB163, constB164)) | v100(constB164) | (~v90(constB164, 1))),
% 55.10/35.29 inference(modus_ponens,[status(thm)],[36049, 36048])).
% 55.10/35.29 tff(36051,plain,
% 55.10/35.29 (v90(constB163, 1) | v100(constB164) | (~v90(constB164, 1))),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[36050, 926, 31111])).
% 55.10/35.29 tff(36052,plain,
% 55.10/35.29 (v90(constB163, 1)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[36051, 36026, 35986])).
% 55.10/35.29 tff(36053,plain,
% 55.10/35.29 (v90(constB162, 1)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[33144, 36052])).
% 55.10/35.29 tff(36054,assumption,(v90(constB162, 1)), introduced(assumption)).
% 55.10/35.29 tff(36055,plain,
% 55.10/35.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB161, 1) | (~nextState(constB161, constB162)) | v100(constB162) | (~v90(constB162, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB161, 1) | (~nextState(constB161, constB162)) | v100(constB162) | (~v90(constB162, 1)))),
% 55.10/35.29 inference(rewrite,[status(thm)],[])).
% 55.10/35.29 tff(36056,plain,
% 55.10/35.29 (((~nextState(constB161, constB162)) | v90(constB161, 1) | v100(constB162) | (~v90(constB162, 1))) <=> (v90(constB161, 1) | (~nextState(constB161, constB162)) | v100(constB162) | (~v90(constB162, 1)))),
% 55.10/35.29 inference(rewrite,[status(thm)],[])).
% 55.10/35.29 tff(36057,plain,
% 55.10/35.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB161, constB162)) | v90(constB161, 1) | v100(constB162) | (~v90(constB162, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB161, 1) | (~nextState(constB161, constB162)) | v100(constB162) | (~v90(constB162, 1))))),
% 55.10/35.29 inference(monotonicity,[status(thm)],[36056])).
% 55.10/35.29 tff(36058,plain,
% 55.10/35.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB161, constB162)) | v90(constB161, 1) | v100(constB162) | (~v90(constB162, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB161, 1) | (~nextState(constB161, constB162)) | v100(constB162) | (~v90(constB162, 1)))),
% 55.10/35.29 inference(transitivity,[status(thm)],[36057, 36055])).
% 55.10/35.29 tff(36059,plain,
% 55.10/35.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB161, constB162)) | v90(constB161, 1) | v100(constB162) | (~v90(constB162, 1)))),
% 55.10/35.29 inference(quant_inst,[status(thm)],[])).
% 55.10/35.29 tff(36060,plain,
% 55.10/35.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB161, 1) | (~nextState(constB161, constB162)) | v100(constB162) | (~v90(constB162, 1))),
% 55.10/35.29 inference(modus_ponens,[status(thm)],[36059, 36058])).
% 55.10/35.29 tff(36061,plain,
% 55.10/35.29 (v90(constB161, 1) | v100(constB162) | (~v90(constB162, 1))),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[36060, 926, 30909])).
% 55.10/35.29 tff(36062,plain,
% 55.10/35.29 (v100(constB162)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[36061, 33212, 36054])).
% 55.10/35.29 tff(36063,assumption,(v90(constB162, 2)), introduced(assumption)).
% 55.10/35.29 tff(36064,plain,
% 55.10/35.29 (v129(constB162, 2) | (~v100(constB162))),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[31009, 1223, 36063])).
% 55.10/35.29 tff(36065,plain,
% 55.10/35.29 (v129(constB162, 2)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[36064, 36062])).
% 55.10/35.29 tff(36066,plain,
% 55.10/35.29 (v127(constB161, 2)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[31005, 36065])).
% 55.10/35.29 tff(36067,plain,
% 55.10/35.29 (v130(constB161, 2)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[31000, 36066])).
% 55.10/35.29 tff(36068,plain,
% 55.10/35.29 (~v120(constB161)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[33179, 1523, 36067])).
% 55.10/35.29 tff(36069,plain,
% 55.10/35.29 (v129(constB162, 1) | (~v100(constB162))),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[33134, 1309, 36054])).
% 55.10/35.29 tff(36070,plain,
% 55.10/35.29 (v129(constB162, 1)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[36069, 36062])).
% 55.10/35.29 tff(36071,plain,
% 55.10/35.29 (v127(constB161, 1)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[33127, 36070])).
% 55.10/35.29 tff(36072,plain,
% 55.10/35.29 (v130(constB161, 1)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[33122, 36071])).
% 55.10/35.29 tff(36073,plain,
% 55.10/35.29 (~v123(constB161)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[33114, 2581, 36072])).
% 55.10/35.29 tff(36074,assumption,(v90(constB162, 0)), introduced(assumption)).
% 55.10/35.29 tff(36075,plain,
% 55.10/35.29 (v129(constB162, 0) | (~v100(constB162))),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[32953, 1704, 36074])).
% 55.10/35.29 tff(36076,plain,
% 55.10/35.29 (v129(constB162, 0)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[36075, 36062])).
% 55.10/35.29 tff(36077,plain,
% 55.10/35.29 (v127(constB161, 0)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[32946, 36076])).
% 55.10/35.29 tff(36078,plain,
% 55.10/35.29 (v130(constB161, 0)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[32941, 36077])).
% 55.10/35.29 tff(36079,plain,
% 55.10/35.29 (~v124(constB161)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[32933, 3274, 36078])).
% 55.10/35.29 tff(36080,plain,
% 55.10/35.29 ($false),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[33488, 36079, 36073, 33212, 36068])).
% 55.10/35.29 tff(36081,plain,(v90(constB161, 1) | (~v90(constB162, 0)) | (~v90(constB162, 2)) | (~v90(constB162, 1))), inference(lemma,lemma(discharge,[]))).
% 55.10/35.29 tff(36082,plain,
% 55.10/35.29 (v90(constB161, 1)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[36081, 36035, 36044, 36053])).
% 55.10/35.29 tff(36083,plain,
% 55.10/35.29 (v90(constB160, 1)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[33497, 36082])).
% 55.10/35.29 tff(36084,assumption,(v124(constB159)), introduced(assumption)).
% 55.10/35.29 tff(36085,plain,
% 55.10/35.29 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB159)) | v114(constB159))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB159)) | v114(constB159))),
% 55.10/35.29 inference(rewrite,[status(thm)],[])).
% 55.10/35.29 tff(36086,plain,
% 55.10/35.29 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | ((~v124(constB159)) | v114(constB159))),
% 55.10/35.29 inference(quant_inst,[status(thm)],[])).
% 55.10/35.29 tff(36087,plain,
% 55.10/35.29 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v114(VarCurr))) | (~v124(constB159)) | v114(constB159)),
% 55.10/35.29 inference(modus_ponens,[status(thm)],[36086, 36085])).
% 55.10/35.29 tff(36088,plain,
% 55.10/35.29 (v114(constB159)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[36087, 2674, 36084])).
% 55.10/35.29 tff(36089,plain,
% 55.10/35.29 (v113(constB159)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[30680, 1049, 36088])).
% 55.10/35.29 tff(36090,plain,
% 55.10/35.29 (v112(constB159)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[30689, 36089])).
% 55.10/35.29 tff(36091,plain,
% 55.10/35.29 (v108(constB159)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[30696, 1075, 36090])).
% 55.10/35.29 tff(36092,plain,
% 55.10/35.29 (v110(constB160)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[30707, 36091])).
% 55.10/35.29 tff(36093,plain,
% 55.10/35.29 (v100(constB160)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[30733, 36092])).
% 55.10/35.29 tff(36094,plain,
% 55.10/35.29 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB159)) | v130(constB159, 2))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB159)) | v130(constB159, 2))),
% 55.10/35.29 inference(rewrite,[status(thm)],[])).
% 55.10/35.29 tff(36095,plain,
% 55.10/35.29 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | ((~v124(constB159)) | v130(constB159, 2))),
% 55.10/35.29 inference(quant_inst,[status(thm)],[])).
% 55.10/35.29 tff(36096,plain,
% 55.10/35.29 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | v130(VarCurr, 2))) | (~v124(constB159)) | v130(constB159, 2)),
% 55.10/35.29 inference(modus_ponens,[status(thm)],[36095, 36094])).
% 55.10/35.29 tff(36097,plain,
% 55.10/35.29 (v130(constB159, 2)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[36096, 2741, 36084])).
% 55.10/35.29 tff(36098,plain,
% 55.10/35.29 (v127(constB159, 2)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[33276, 36097])).
% 55.10/35.29 tff(36099,plain,
% 55.10/35.29 (v129(constB160, 2)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[33271, 36098])).
% 55.10/35.29 tff(36100,plain,
% 55.10/35.29 (v90(constB160, 2) | (~v100(constB160))),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[33265, 2324, 36099])).
% 55.10/35.29 tff(36101,plain,
% 55.10/35.29 (v90(constB160, 2)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[36100, 36093])).
% 55.10/35.29 tff(36102,plain,
% 55.10/35.29 (v90(constB161, 2)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[33222, 36101])).
% 55.10/35.29 tff(36103,plain,
% 55.10/35.29 (v130(constB159, 1)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[33288, 2808, 36084])).
% 55.10/35.29 tff(36104,plain,
% 55.10/35.29 (v127(constB159, 1)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[30791, 36103])).
% 55.10/35.29 tff(36105,plain,
% 55.10/35.29 (v129(constB160, 1)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[30796, 36104])).
% 55.10/35.29 tff(36106,plain,
% 55.10/35.29 (v90(constB160, 1) | (~v100(constB160))),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[30803, 1623, 36105])).
% 55.10/35.29 tff(36107,plain,
% 55.10/35.29 (v90(constB160, 1)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[36106, 36093])).
% 55.10/35.29 tff(36108,plain,
% 55.10/35.29 (v90(constB161, 1)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[30813, 36107])).
% 55.10/35.29 tff(36109,plain,
% 55.10/35.29 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB159)) | (~v130(constB159, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB159)) | (~v130(constB159, 0)))),
% 55.10/35.29 inference(rewrite,[status(thm)],[])).
% 55.10/35.29 tff(36110,plain,
% 55.10/35.29 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB159)) | (~v130(constB159, 0)))),
% 55.10/35.29 inference(quant_inst,[status(thm)],[])).
% 55.10/35.29 tff(36111,plain,
% 55.10/35.29 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB159)) | (~v130(constB159, 0))),
% 55.10/35.29 inference(modus_ponens,[status(thm)],[36110, 36109])).
% 55.10/35.29 tff(36112,plain,
% 55.10/35.29 (~v130(constB159, 0)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[36111, 3274, 36084])).
% 55.10/35.29 tff(36113,plain,
% 55.10/35.29 (~v127(constB159, 0)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[30825, 36112])).
% 55.10/35.29 tff(36114,plain,
% 55.10/35.29 (~v129(constB160, 0)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[30830, 36113])).
% 55.10/35.29 tff(36115,plain,
% 55.10/35.29 ((~v90(constB160, 0)) | (~v100(constB160))),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[30837, 1704, 36114])).
% 55.10/35.29 tff(36116,plain,
% 55.10/35.29 (~v90(constB160, 0)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[36115, 36093])).
% 55.10/35.29 tff(36117,plain,
% 55.10/35.29 (~v90(constB161, 0)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[30847, 36116])).
% 55.10/35.29 tff(36118,plain,
% 55.10/35.29 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB161, 0) | (~v90(constB161, 1)) | (~v90(constB161, 2)) | v125(constB161))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB161, 0) | (~v90(constB161, 1)) | (~v90(constB161, 2)) | v125(constB161))),
% 55.10/35.29 inference(rewrite,[status(thm)],[])).
% 55.10/35.29 tff(36119,plain,
% 55.10/35.29 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | (v90(constB161, 0) | (~v90(constB161, 1)) | (~v90(constB161, 2)) | v125(constB161))),
% 55.10/35.29 inference(quant_inst,[status(thm)],[])).
% 55.10/35.29 tff(36120,plain,
% 55.10/35.29 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | (~v90(VarCurr, 1)) | (~v90(VarCurr, 2)) | v125(VarCurr))) | v90(constB161, 0) | (~v90(constB161, 1)) | (~v90(constB161, 2)) | v125(constB161)),
% 55.10/35.29 inference(modus_ponens,[status(thm)],[36119, 36118])).
% 55.10/35.29 tff(36121,plain,
% 55.10/35.29 (v125(constB161)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[36120, 2279, 36117, 36108, 36102])).
% 55.10/35.29 tff(36122,plain,
% 55.10/35.29 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB161) | (~v125(constB161)))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB161) | (~v125(constB161)))),
% 55.10/35.29 inference(rewrite,[status(thm)],[])).
% 55.10/35.29 tff(36123,plain,
% 55.10/35.29 (((~v125(constB161)) | v113(constB161)) <=> (v113(constB161) | (~v125(constB161)))),
% 55.10/35.29 inference(rewrite,[status(thm)],[])).
% 55.10/35.29 tff(36124,plain,
% 55.10/35.29 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB161)) | v113(constB161))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | (v113(constB161) | (~v125(constB161))))),
% 55.10/35.29 inference(monotonicity,[status(thm)],[36123])).
% 55.10/35.29 tff(36125,plain,
% 55.10/35.29 (((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB161)) | v113(constB161))) <=> ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB161) | (~v125(constB161)))),
% 55.10/35.29 inference(transitivity,[status(thm)],[36124, 36122])).
% 55.10/35.29 tff(36126,plain,
% 55.10/35.29 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | ((~v125(constB161)) | v113(constB161))),
% 55.10/35.29 inference(quant_inst,[status(thm)],[])).
% 55.10/35.29 tff(36127,plain,
% 55.10/35.29 ((~![VarCurr: state_type] : ((~v125(VarCurr)) | v113(VarCurr))) | v113(constB161) | (~v125(constB161))),
% 55.10/35.29 inference(modus_ponens,[status(thm)],[36126, 36125])).
% 55.10/35.29 tff(36128,plain,
% 55.10/35.29 (v113(constB161)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[36127, 2262, 36121])).
% 55.10/35.29 tff(36129,plain,
% 55.10/35.29 (v112(constB161)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[30898, 36128])).
% 55.10/35.29 tff(36130,plain,
% 55.10/35.29 (v108(constB161)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[30905, 1075, 36129])).
% 55.10/35.29 tff(36131,plain,
% 55.10/35.29 (v110(constB162)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[30916, 36130])).
% 55.10/35.29 tff(36132,plain,
% 55.10/35.29 (v100(constB162)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[30939, 36131])).
% 55.10/35.29 tff(36133,plain,
% 55.10/35.29 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB161)) | (~v90(constB161, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB161)) | (~v90(constB161, 2)))),
% 55.10/35.29 inference(rewrite,[status(thm)],[])).
% 55.10/35.29 tff(36134,plain,
% 55.10/35.29 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v121(constB161)) | (~v90(constB161, 2)))),
% 55.10/35.29 inference(quant_inst,[status(thm)],[])).
% 55.10/35.29 tff(36135,plain,
% 55.10/35.29 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v90(VarCurr, 2)))) | (~v121(constB161)) | (~v90(constB161, 2))),
% 55.10/35.29 inference(modus_ponens,[status(thm)],[36134, 36133])).
% 55.10/35.29 tff(36136,plain,
% 55.10/35.29 (~v121(constB161)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[36135, 2857, 36102])).
% 55.10/35.29 tff(36137,plain,
% 55.10/35.29 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB161)) | (~v90(constB161, 2)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB161)) | (~v90(constB161, 2)))),
% 55.10/35.29 inference(rewrite,[status(thm)],[])).
% 55.10/35.29 tff(36138,plain,
% 55.10/35.29 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v122(constB161)) | (~v90(constB161, 2)))),
% 55.10/35.29 inference(quant_inst,[status(thm)],[])).
% 55.10/35.29 tff(36139,plain,
% 55.10/35.29 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v90(VarCurr, 2)))) | (~v122(constB161)) | (~v90(constB161, 2))),
% 55.10/35.29 inference(modus_ponens,[status(thm)],[36138, 36137])).
% 55.10/35.29 tff(36140,plain,
% 55.10/35.29 (~v122(constB161)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[36139, 2797, 36102])).
% 55.10/35.29 tff(36141,plain,
% 55.10/35.29 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB161)) | (~v90(constB161, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB161)) | (~v90(constB161, 1)))),
% 55.10/35.29 inference(rewrite,[status(thm)],[])).
% 55.10/35.29 tff(36142,plain,
% 55.10/35.29 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v119(constB161)) | (~v90(constB161, 1)))),
% 55.10/35.29 inference(quant_inst,[status(thm)],[])).
% 55.10/35.29 tff(36143,plain,
% 55.10/35.29 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 1)))) | (~v119(constB161)) | (~v90(constB161, 1))),
% 55.10/35.29 inference(modus_ponens,[status(thm)],[36142, 36141])).
% 55.10/35.29 tff(36144,plain,
% 55.10/35.29 (~v119(constB161)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[36143, 2868, 36108])).
% 55.10/35.29 tff(36145,plain,
% 55.10/35.29 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB161)) | (~v90(constB161, 1)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB161)) | (~v90(constB161, 1)))),
% 55.10/35.29 inference(rewrite,[status(thm)],[])).
% 55.10/35.29 tff(36146,plain,
% 55.10/35.29 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v124(constB161)) | (~v90(constB161, 1)))),
% 55.10/35.29 inference(quant_inst,[status(thm)],[])).
% 55.10/35.29 tff(36147,plain,
% 55.10/35.29 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v90(VarCurr, 1)))) | (~v124(constB161)) | (~v90(constB161, 1))),
% 55.10/35.29 inference(modus_ponens,[status(thm)],[36146, 36145])).
% 55.10/35.29 tff(36148,plain,
% 55.10/35.29 (~v124(constB161)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[36147, 2890, 36108])).
% 55.10/35.29 tff(36149,plain,
% 55.10/35.29 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB161)) | (~v90(constB161, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB161)) | (~v90(constB161, 1)))),
% 55.10/35.29 inference(rewrite,[status(thm)],[])).
% 55.10/35.29 tff(36150,plain,
% 55.10/35.29 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v123(constB161)) | (~v90(constB161, 1)))),
% 55.10/35.29 inference(quant_inst,[status(thm)],[])).
% 55.10/35.29 tff(36151,plain,
% 55.10/35.29 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v90(VarCurr, 1)))) | (~v123(constB161)) | (~v90(constB161, 1))),
% 55.10/35.29 inference(modus_ponens,[status(thm)],[36150, 36149])).
% 55.10/35.29 tff(36152,plain,
% 55.10/35.29 (~v123(constB161)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[36151, 2879, 36108])).
% 55.10/35.29 tff(36153,plain,
% 55.10/35.29 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB161)) | (~v90(constB161, 1)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB161)) | (~v90(constB161, 1)))),
% 55.10/35.29 inference(rewrite,[status(thm)],[])).
% 55.10/35.29 tff(36154,plain,
% 55.10/35.29 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | ((~v120(constB161)) | (~v90(constB161, 1)))),
% 55.10/35.29 inference(quant_inst,[status(thm)],[])).
% 55.10/35.29 tff(36155,plain,
% 55.10/35.29 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 1)))) | (~v120(constB161)) | (~v90(constB161, 1))),
% 55.10/35.29 inference(modus_ponens,[status(thm)],[36154, 36153])).
% 55.10/35.29 tff(36156,plain,
% 55.10/35.29 (~v120(constB161)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[36155, 2846, 36108])).
% 55.10/35.29 tff(36157,plain,
% 55.10/35.29 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB161) | v120(constB161) | v121(constB161) | v122(constB161) | v123(constB161) | v124(constB161) | (~v130(constB161, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB161) | v120(constB161) | v121(constB161) | v122(constB161) | v123(constB161) | v124(constB161) | (~v130(constB161, 2)))),
% 55.10/35.29 inference(rewrite,[status(thm)],[])).
% 55.10/35.29 tff(36158,plain,
% 55.10/35.29 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB161) | v120(constB161) | v121(constB161) | v122(constB161) | v123(constB161) | v124(constB161) | (~v130(constB161, 2)))),
% 55.10/35.29 inference(quant_inst,[status(thm)],[])).
% 55.10/35.29 tff(36159,plain,
% 55.10/35.29 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB161) | v120(constB161) | v121(constB161) | v122(constB161) | v123(constB161) | v124(constB161) | (~v130(constB161, 2))),
% 55.10/35.29 inference(modus_ponens,[status(thm)],[36158, 36157])).
% 55.10/35.29 tff(36160,plain,
% 55.10/35.29 (~v130(constB161, 2)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[36159, 2904, 36156, 36152, 36148, 36144, 36140, 36136])).
% 55.10/35.29 tff(36161,plain,
% 55.10/35.29 (~v127(constB161, 2)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[31000, 36160])).
% 55.10/35.29 tff(36162,plain,
% 55.10/35.29 (~v129(constB162, 2)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[31005, 36161])).
% 55.10/35.29 tff(36163,plain,
% 55.10/35.29 ((~v90(constB162, 2)) | (~v100(constB162))),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[31009, 1223, 36162])).
% 55.10/35.29 tff(36164,plain,
% 55.10/35.29 (~v90(constB162, 2)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[36163, 36132])).
% 55.10/35.29 tff(36165,plain,
% 55.10/35.29 (~v90(constB163, 2)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[31019, 36164])).
% 55.10/35.29 tff(36166,plain,
% 55.10/35.29 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB161) | v120(constB161) | v121(constB161) | v122(constB161) | v123(constB161) | v124(constB161) | (~v130(constB161, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB161) | v120(constB161) | v121(constB161) | v122(constB161) | v123(constB161) | v124(constB161) | (~v130(constB161, 1)))),
% 55.10/35.29 inference(rewrite,[status(thm)],[])).
% 55.10/35.29 tff(36167,plain,
% 55.10/35.29 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB161) | v120(constB161) | v121(constB161) | v122(constB161) | v123(constB161) | v124(constB161) | (~v130(constB161, 1)))),
% 55.10/35.29 inference(quant_inst,[status(thm)],[])).
% 55.10/35.29 tff(36168,plain,
% 55.10/35.29 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB161) | v120(constB161) | v121(constB161) | v122(constB161) | v123(constB161) | v124(constB161) | (~v130(constB161, 1))),
% 55.10/35.29 inference(modus_ponens,[status(thm)],[36167, 36166])).
% 55.10/35.29 tff(36169,plain,
% 55.10/35.29 (~v130(constB161, 1)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[36168, 3309, 36156, 36152, 36148, 36144, 36140, 36136])).
% 55.10/35.29 tff(36170,plain,
% 55.10/35.29 (~v127(constB161, 1)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[33122, 36169])).
% 55.10/35.29 tff(36171,plain,
% 55.10/35.29 (~v129(constB162, 1)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[33127, 36170])).
% 55.10/35.29 tff(36172,plain,
% 55.10/35.29 ((~v90(constB162, 1)) | (~v100(constB162))),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[33134, 1309, 36171])).
% 55.10/35.29 tff(36173,plain,
% 55.10/35.29 (~v90(constB162, 1)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[36172, 36132])).
% 55.10/35.29 tff(36174,plain,
% 55.10/35.29 (~v90(constB163, 1)),
% 55.10/35.29 inference(unit_resolution,[status(thm)],[33144, 36173])).
% 55.10/35.29 tff(36175,plain,
% 55.10/35.29 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB161) | v120(constB161) | v121(constB161) | v122(constB161) | v123(constB161) | v124(constB161) | v130(constB161, 0))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB161) | v120(constB161) | v121(constB161) | v122(constB161) | v123(constB161) | v124(constB161) | v130(constB161, 0))),
% 55.10/35.29 inference(rewrite,[status(thm)],[])).
% 55.10/35.29 tff(36176,plain,
% 55.10/35.29 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | (v119(constB161) | v120(constB161) | v121(constB161) | v122(constB161) | v123(constB161) | v124(constB161) | v130(constB161, 0))),
% 55.10/35.29 inference(quant_inst,[status(thm)],[])).
% 55.10/35.30 tff(36177,plain,
% 55.10/35.30 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | v130(VarCurr, 0))) | v119(constB161) | v120(constB161) | v121(constB161) | v122(constB161) | v123(constB161) | v124(constB161) | v130(constB161, 0)),
% 55.10/35.30 inference(modus_ponens,[status(thm)],[36176, 36175])).
% 55.10/35.30 tff(36178,plain,
% 55.10/35.30 (v130(constB161, 0)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36177, 3413, 36156, 36152, 36148, 36144, 36140, 36136])).
% 55.10/35.30 tff(36179,plain,
% 55.10/35.30 (v127(constB161, 0)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[30948, 36178])).
% 55.10/35.30 tff(36180,plain,
% 55.10/35.30 (v129(constB162, 0)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[30953, 36179])).
% 55.10/35.30 tff(36181,plain,
% 55.10/35.30 (v90(constB162, 0) | (~v100(constB162))),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[30960, 1377, 36180])).
% 55.10/35.30 tff(36182,plain,
% 55.10/35.30 (v90(constB162, 0)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36181, 36132])).
% 55.10/35.30 tff(36183,plain,
% 55.10/35.30 (v90(constB163, 0)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[30988, 36182])).
% 55.10/35.30 tff(36184,plain,
% 55.10/35.30 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB163, 0)) | v90(constB163, 1) | v90(constB163, 2) | v120(constB163))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB163, 0)) | v90(constB163, 1) | v90(constB163, 2) | v120(constB163))),
% 55.10/35.30 inference(rewrite,[status(thm)],[])).
% 55.10/35.30 tff(36185,plain,
% 55.10/35.30 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | ((~v90(constB163, 0)) | v90(constB163, 1) | v90(constB163, 2) | v120(constB163))),
% 55.10/35.30 inference(quant_inst,[status(thm)],[])).
% 55.10/35.30 tff(36186,plain,
% 55.10/35.30 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | v90(VarCurr, 2) | v120(VarCurr))) | (~v90(constB163, 0)) | v90(constB163, 1) | v90(constB163, 2) | v120(constB163)),
% 55.10/35.30 inference(modus_ponens,[status(thm)],[36185, 36184])).
% 55.10/35.30 tff(36187,plain,
% 55.10/35.30 (v120(constB163)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36186, 1414, 36183, 36174, 36165])).
% 55.10/35.30 tff(36188,plain,
% 55.10/35.30 (v100(constB164)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36051, 36174, 36015])).
% 55.10/35.30 tff(36189,plain,
% 55.10/35.30 (v129(constB164, 2)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[35998, 36188])).
% 55.10/35.30 tff(36190,plain,
% 55.10/35.30 (v127(constB163, 2)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[33014, 36189])).
% 55.10/35.30 tff(36191,plain,
% 55.10/35.30 (v130(constB163, 2)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[33009, 36190])).
% 55.10/35.30 tff(36192,plain,
% 55.10/35.30 ($false),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36008, 1523, 36191, 36187])).
% 55.10/35.30 tff(36193,plain,((~v124(constB159)) | (~v90(constB164, 2)) | (~v90(constB164, 1))), inference(lemma,lemma(discharge,[]))).
% 55.10/35.30 tff(36194,plain,
% 55.10/35.30 (~v124(constB159)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36193, 35976, 35986])).
% 55.10/35.30 tff(36195,assumption,(v90(constB160, 1)), introduced(assumption)).
% 55.10/35.30 tff(36196,assumption,(~v100(constB162)), introduced(assumption)).
% 55.10/35.30 tff(36197,plain,
% 55.10/35.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB161, 0) | (~nextState(constB161, constB162)) | v100(constB162) | (~v90(constB162, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB161, 0) | (~nextState(constB161, constB162)) | v100(constB162) | (~v90(constB162, 0)))),
% 55.10/35.30 inference(rewrite,[status(thm)],[])).
% 55.10/35.30 tff(36198,plain,
% 55.10/35.30 (((~nextState(constB161, constB162)) | v90(constB161, 0) | v100(constB162) | (~v90(constB162, 0))) <=> (v90(constB161, 0) | (~nextState(constB161, constB162)) | v100(constB162) | (~v90(constB162, 0)))),
% 55.10/35.30 inference(rewrite,[status(thm)],[])).
% 55.10/35.30 tff(36199,plain,
% 55.10/35.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB161, constB162)) | v90(constB161, 0) | v100(constB162) | (~v90(constB162, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB161, 0) | (~nextState(constB161, constB162)) | v100(constB162) | (~v90(constB162, 0))))),
% 55.10/35.30 inference(monotonicity,[status(thm)],[36198])).
% 55.10/35.30 tff(36200,plain,
% 55.10/35.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB161, constB162)) | v90(constB161, 0) | v100(constB162) | (~v90(constB162, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB161, 0) | (~nextState(constB161, constB162)) | v100(constB162) | (~v90(constB162, 0)))),
% 55.10/35.30 inference(transitivity,[status(thm)],[36199, 36197])).
% 55.10/35.30 tff(36201,plain,
% 55.10/35.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB161, constB162)) | v90(constB161, 0) | v100(constB162) | (~v90(constB162, 0)))),
% 55.10/35.30 inference(quant_inst,[status(thm)],[])).
% 55.10/35.30 tff(36202,plain,
% 55.10/35.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB161, 0) | (~nextState(constB161, constB162)) | v100(constB162) | (~v90(constB162, 0))),
% 55.10/35.30 inference(modus_ponens,[status(thm)],[36201, 36200])).
% 55.10/35.30 tff(36203,plain,
% 55.10/35.30 (v90(constB161, 0) | v100(constB162) | (~v90(constB162, 0))),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36202, 947, 30909])).
% 55.10/35.30 tff(36204,plain,
% 55.10/35.30 (v90(constB161, 0)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36203, 36196, 36074])).
% 55.10/35.30 tff(36205,plain,
% 55.10/35.30 (v90(constB160, 0)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[30847, 36204])).
% 55.10/35.30 tff(36206,plain,
% 55.10/35.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB161, 2) | (~nextState(constB161, constB162)) | v100(constB162) | (~v90(constB162, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB161, 2) | (~nextState(constB161, constB162)) | v100(constB162) | (~v90(constB162, 2)))),
% 55.10/35.30 inference(rewrite,[status(thm)],[])).
% 55.10/35.30 tff(36207,plain,
% 55.10/35.30 (((~nextState(constB161, constB162)) | v90(constB161, 2) | v100(constB162) | (~v90(constB162, 2))) <=> (v90(constB161, 2) | (~nextState(constB161, constB162)) | v100(constB162) | (~v90(constB162, 2)))),
% 55.10/35.30 inference(rewrite,[status(thm)],[])).
% 55.10/35.30 tff(36208,plain,
% 55.10/35.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB161, constB162)) | v90(constB161, 2) | v100(constB162) | (~v90(constB162, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB161, 2) | (~nextState(constB161, constB162)) | v100(constB162) | (~v90(constB162, 2))))),
% 55.10/35.30 inference(monotonicity,[status(thm)],[36207])).
% 55.10/35.30 tff(36209,plain,
% 55.10/35.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB161, constB162)) | v90(constB161, 2) | v100(constB162) | (~v90(constB162, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB161, 2) | (~nextState(constB161, constB162)) | v100(constB162) | (~v90(constB162, 2)))),
% 55.10/35.30 inference(transitivity,[status(thm)],[36208, 36206])).
% 55.10/35.30 tff(36210,plain,
% 55.10/35.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB161, constB162)) | v90(constB161, 2) | v100(constB162) | (~v90(constB162, 2)))),
% 55.10/35.30 inference(quant_inst,[status(thm)],[])).
% 55.10/35.30 tff(36211,plain,
% 55.10/35.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB161, 2) | (~nextState(constB161, constB162)) | v100(constB162) | (~v90(constB162, 2))),
% 55.10/35.30 inference(modus_ponens,[status(thm)],[36210, 36209])).
% 55.10/35.30 tff(36212,plain,
% 55.10/35.30 (v90(constB161, 2) | v100(constB162) | (~v90(constB162, 2))),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36211, 905, 30909])).
% 55.10/35.30 tff(36213,plain,
% 55.10/35.30 (v90(constB161, 2)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36212, 36196, 36063])).
% 55.10/35.30 tff(36214,plain,
% 55.10/35.30 (v90(constB160, 2)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[30782, 36213])).
% 55.10/35.30 tff(36215,assumption,(v90(constB160, 0)), introduced(assumption)).
% 55.10/35.30 tff(36216,plain,
% 55.10/35.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB159, 0) | (~nextState(constB159, constB160)) | v100(constB160) | (~v90(constB160, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB159, 0) | (~nextState(constB159, constB160)) | v100(constB160) | (~v90(constB160, 0)))),
% 55.10/35.30 inference(rewrite,[status(thm)],[])).
% 55.10/35.30 tff(36217,plain,
% 55.10/35.30 (((~nextState(constB159, constB160)) | v90(constB159, 0) | v100(constB160) | (~v90(constB160, 0))) <=> (v90(constB159, 0) | (~nextState(constB159, constB160)) | v100(constB160) | (~v90(constB160, 0)))),
% 55.10/35.30 inference(rewrite,[status(thm)],[])).
% 55.10/35.30 tff(36218,plain,
% 55.10/35.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB159, constB160)) | v90(constB159, 0) | v100(constB160) | (~v90(constB160, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB159, 0) | (~nextState(constB159, constB160)) | v100(constB160) | (~v90(constB160, 0))))),
% 55.10/35.30 inference(monotonicity,[status(thm)],[36217])).
% 55.10/35.30 tff(36219,plain,
% 55.10/35.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB159, constB160)) | v90(constB159, 0) | v100(constB160) | (~v90(constB160, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB159, 0) | (~nextState(constB159, constB160)) | v100(constB160) | (~v90(constB160, 0)))),
% 55.10/35.30 inference(transitivity,[status(thm)],[36218, 36216])).
% 55.10/35.30 tff(36220,plain,
% 55.10/35.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB159, constB160)) | v90(constB159, 0) | v100(constB160) | (~v90(constB160, 0)))),
% 55.10/35.30 inference(quant_inst,[status(thm)],[])).
% 55.10/35.30 tff(36221,plain,
% 55.10/35.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB159, 0) | (~nextState(constB159, constB160)) | v100(constB160) | (~v90(constB160, 0))),
% 55.10/35.30 inference(modus_ponens,[status(thm)],[36220, 36219])).
% 55.10/35.30 tff(36222,plain,
% 55.10/35.30 (v90(constB159, 0) | v100(constB160) | (~v90(constB160, 0))),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36221, 947, 30700])).
% 55.10/35.30 tff(36223,plain,
% 55.10/35.30 (v90(constB159, 0)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36222, 33365, 36215])).
% 55.10/35.30 tff(36224,plain,
% 55.10/35.30 (v90(constB158, 0)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[29409, 36223])).
% 55.10/35.30 tff(36225,assumption,(v90(constB160, 2)), introduced(assumption)).
% 55.10/35.30 tff(36226,plain,
% 55.10/35.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB159, 2) | (~nextState(constB159, constB160)) | v100(constB160) | (~v90(constB160, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB159, 2) | (~nextState(constB159, constB160)) | v100(constB160) | (~v90(constB160, 2)))),
% 55.10/35.30 inference(rewrite,[status(thm)],[])).
% 55.10/35.30 tff(36227,plain,
% 55.10/35.30 (((~nextState(constB159, constB160)) | v90(constB159, 2) | v100(constB160) | (~v90(constB160, 2))) <=> (v90(constB159, 2) | (~nextState(constB159, constB160)) | v100(constB160) | (~v90(constB160, 2)))),
% 55.10/35.30 inference(rewrite,[status(thm)],[])).
% 55.10/35.30 tff(36228,plain,
% 55.10/35.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB159, constB160)) | v90(constB159, 2) | v100(constB160) | (~v90(constB160, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB159, 2) | (~nextState(constB159, constB160)) | v100(constB160) | (~v90(constB160, 2))))),
% 55.10/35.30 inference(monotonicity,[status(thm)],[36227])).
% 55.10/35.30 tff(36229,plain,
% 55.10/35.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB159, constB160)) | v90(constB159, 2) | v100(constB160) | (~v90(constB160, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB159, 2) | (~nextState(constB159, constB160)) | v100(constB160) | (~v90(constB160, 2)))),
% 55.10/35.30 inference(transitivity,[status(thm)],[36228, 36226])).
% 55.10/35.30 tff(36230,plain,
% 55.10/35.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB159, constB160)) | v90(constB159, 2) | v100(constB160) | (~v90(constB160, 2)))),
% 55.10/35.30 inference(quant_inst,[status(thm)],[])).
% 55.10/35.30 tff(36231,plain,
% 55.10/35.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB159, 2) | (~nextState(constB159, constB160)) | v100(constB160) | (~v90(constB160, 2))),
% 55.10/35.30 inference(modus_ponens,[status(thm)],[36230, 36229])).
% 55.10/35.30 tff(36232,plain,
% 55.10/35.30 (v90(constB159, 2) | v100(constB160) | (~v90(constB160, 2))),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36231, 905, 30700])).
% 55.10/35.30 tff(36233,plain,
% 55.10/35.30 (v90(constB159, 2)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36232, 33365, 36225])).
% 55.10/35.30 tff(36234,plain,
% 55.10/35.30 (v90(constB158, 2)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[29344, 36233])).
% 55.10/35.30 tff(36235,assumption,(v90(constB158, 2)), introduced(assumption)).
% 55.10/35.30 tff(36236,plain,
% 55.10/35.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB157, 2) | (~nextState(constB157, constB158)) | v100(constB158) | (~v90(constB158, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB157, 2) | (~nextState(constB157, constB158)) | v100(constB158) | (~v90(constB158, 2)))),
% 55.10/35.30 inference(rewrite,[status(thm)],[])).
% 55.10/35.30 tff(36237,plain,
% 55.10/35.30 (((~nextState(constB157, constB158)) | v90(constB157, 2) | v100(constB158) | (~v90(constB158, 2))) <=> (v90(constB157, 2) | (~nextState(constB157, constB158)) | v100(constB158) | (~v90(constB158, 2)))),
% 55.10/35.30 inference(rewrite,[status(thm)],[])).
% 55.10/35.30 tff(36238,plain,
% 55.10/35.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB157, constB158)) | v90(constB157, 2) | v100(constB158) | (~v90(constB158, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB157, 2) | (~nextState(constB157, constB158)) | v100(constB158) | (~v90(constB158, 2))))),
% 55.10/35.30 inference(monotonicity,[status(thm)],[36237])).
% 55.10/35.30 tff(36239,plain,
% 55.10/35.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB157, constB158)) | v90(constB157, 2) | v100(constB158) | (~v90(constB158, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB157, 2) | (~nextState(constB157, constB158)) | v100(constB158) | (~v90(constB158, 2)))),
% 55.10/35.30 inference(transitivity,[status(thm)],[36238, 36236])).
% 55.10/35.30 tff(36240,plain,
% 55.10/35.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB157, constB158)) | v90(constB157, 2) | v100(constB158) | (~v90(constB158, 2)))),
% 55.10/35.30 inference(quant_inst,[status(thm)],[])).
% 55.10/35.30 tff(36241,plain,
% 55.10/35.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB157, 2) | (~nextState(constB157, constB158)) | v100(constB158) | (~v90(constB158, 2))),
% 55.10/35.30 inference(modus_ponens,[status(thm)],[36240, 36239])).
% 55.10/35.30 tff(36242,plain,
% 55.10/35.30 (v90(constB157, 2) | v100(constB158) | (~v90(constB158, 2))),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36241, 905, 29109])).
% 55.10/35.30 tff(36243,plain,
% 55.10/35.30 (v100(constB158)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36242, 29228, 36235])).
% 55.10/35.30 tff(36244,plain,
% 55.10/35.30 (v129(constB158, 0) | (~v100(constB158))),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[29399, 1704, 29420])).
% 55.10/35.30 tff(36245,plain,
% 55.10/35.30 (v129(constB158, 0)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36244, 36243])).
% 55.10/35.30 tff(36246,plain,
% 55.10/35.30 (v127(constB157, 0)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[29392, 36245])).
% 55.10/35.30 tff(36247,plain,
% 55.10/35.30 (v130(constB157, 0)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[29387, 36246])).
% 55.10/35.30 tff(36248,plain,
% 55.10/35.30 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB157)) | (~v130(constB157, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB157)) | (~v130(constB157, 0)))),
% 55.10/35.30 inference(rewrite,[status(thm)],[])).
% 55.10/35.30 tff(36249,plain,
% 55.10/35.30 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB157)) | (~v130(constB157, 0)))),
% 55.10/35.30 inference(quant_inst,[status(thm)],[])).
% 55.10/35.30 tff(36250,plain,
% 55.10/35.30 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB157)) | (~v130(constB157, 0))),
% 55.10/35.30 inference(modus_ponens,[status(thm)],[36249, 36248])).
% 55.10/35.30 tff(36251,plain,
% 55.10/35.30 (~v124(constB157)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36250, 3274, 36247])).
% 55.10/35.30 tff(36252,plain,
% 55.10/35.30 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | ((~v123(constB157)) | v90(constB157, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | (~v123(constB157)) | v90(constB157, 2))),
% 55.10/35.30 inference(rewrite,[status(thm)],[])).
% 55.10/35.30 tff(36253,plain,
% 55.10/35.30 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | ((~v123(constB157)) | v90(constB157, 2))),
% 55.10/35.30 inference(quant_inst,[status(thm)],[])).
% 55.10/35.30 tff(36254,plain,
% 55.10/35.30 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v90(VarCurr, 2))) | (~v123(constB157)) | v90(constB157, 2)),
% 55.10/35.30 inference(modus_ponens,[status(thm)],[36253, 36252])).
% 55.10/35.30 tff(36255,plain,
% 55.10/35.30 (~v123(constB157)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36254, 3763, 29228])).
% 55.10/35.30 tff(36256,plain,
% 55.10/35.30 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB157)) | (~v130(constB157, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB157)) | (~v130(constB157, 0)))),
% 55.10/35.30 inference(rewrite,[status(thm)],[])).
% 55.10/35.30 tff(36257,plain,
% 55.10/35.30 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB157)) | (~v130(constB157, 0)))),
% 55.10/35.30 inference(quant_inst,[status(thm)],[])).
% 55.10/35.30 tff(36258,plain,
% 55.10/35.30 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB157)) | (~v130(constB157, 0))),
% 55.10/35.30 inference(modus_ponens,[status(thm)],[36257, 36256])).
% 55.10/35.30 tff(36259,plain,
% 55.10/35.30 (~v122(constB157)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36258, 2407, 36247])).
% 55.10/35.30 tff(36260,plain,
% 55.10/35.30 (v129(constB158, 2) | (~v100(constB158))),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[29334, 1223, 36235])).
% 55.10/35.30 tff(36261,plain,
% 55.10/35.30 (v129(constB158, 2)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36260, 36243])).
% 55.10/35.30 tff(36262,plain,
% 55.10/35.30 (v127(constB157, 2)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[29330, 36261])).
% 55.10/35.30 tff(36263,plain,
% 55.10/35.30 (v130(constB157, 2)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[29325, 36262])).
% 55.10/35.30 tff(36264,plain,
% 55.10/35.30 (~v120(constB157)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[29317, 1523, 36263])).
% 55.10/35.30 tff(36265,plain,
% 55.10/35.30 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB157)) | (~v130(constB157, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB157)) | (~v130(constB157, 2)))),
% 55.10/35.30 inference(rewrite,[status(thm)],[])).
% 55.10/35.30 tff(36266,plain,
% 55.10/35.30 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB157)) | (~v130(constB157, 2)))),
% 55.10/35.30 inference(quant_inst,[status(thm)],[])).
% 55.10/35.30 tff(36267,plain,
% 55.10/35.30 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB157)) | (~v130(constB157, 2))),
% 55.10/35.30 inference(modus_ponens,[status(thm)],[36266, 36265])).
% 55.10/35.30 tff(36268,plain,
% 55.10/35.30 (~v121(constB157)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36267, 1821, 36263])).
% 55.10/35.30 tff(36269,plain,
% 55.10/35.30 (~v119(constB157)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[33329, 1176, 36263])).
% 55.10/35.30 tff(36270,plain,
% 55.10/35.30 (v119(constB157) | v120(constB157) | v121(constB157) | v122(constB157) | v123(constB157) | v124(constB157)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[30589, 2904, 36263])).
% 55.10/35.30 tff(36271,plain,
% 55.10/35.30 ($false),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36270, 36269, 36268, 36264, 36259, 36255, 36251])).
% 55.10/35.30 tff(36272,plain,(v90(constB157, 2) | (~v90(constB158, 0)) | (~v90(constB158, 2))), inference(lemma,lemma(discharge,[]))).
% 55.10/35.30 tff(36273,plain,
% 55.10/35.30 (v90(constB157, 2)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36272, 36234, 36224])).
% 55.10/35.30 tff(36274,plain,
% 55.10/35.30 (v90(constB156, 2)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[29611, 36273])).
% 55.10/35.30 tff(36275,plain,
% 55.10/35.30 (v90(constB159, 1)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[33505, 33365, 36195])).
% 55.10/35.30 tff(36276,plain,
% 55.10/35.30 (v90(constB158, 1)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[30635, 36275])).
% 55.10/35.30 tff(36277,plain,
% 55.10/35.30 (~v121(constB153)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[29701, 36276, 36273, 36224])).
% 55.10/35.30 tff(36278,plain,
% 55.10/35.30 (v100(constB156)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[30396, 36277, 26097, 36274])).
% 55.10/35.30 tff(36279,assumption,(v123(constB155)), introduced(assumption)).
% 55.10/35.30 tff(36280,plain,
% 55.10/35.30 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB155)) | v130(constB155, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB155)) | v130(constB155, 0))),
% 55.10/35.30 inference(rewrite,[status(thm)],[])).
% 55.10/35.30 tff(36281,plain,
% 55.10/35.30 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB155)) | v130(constB155, 0))),
% 55.10/35.30 inference(quant_inst,[status(thm)],[])).
% 55.10/35.30 tff(36282,plain,
% 55.10/35.30 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB155)) | v130(constB155, 0)),
% 55.10/35.30 inference(modus_ponens,[status(thm)],[36281, 36280])).
% 55.10/35.30 tff(36283,plain,
% 55.10/35.30 (v130(constB155, 0)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36282, 2622, 36279])).
% 55.10/35.30 tff(36284,plain,
% 55.10/35.30 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB155) | (~v130(constB155, 0)) | v127(constB155, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB155) | (~v130(constB155, 0)) | v127(constB155, 0))),
% 55.10/35.30 inference(rewrite,[status(thm)],[])).
% 55.10/35.30 tff(36285,plain,
% 55.10/35.30 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB155) | (~v130(constB155, 0)) | v127(constB155, 0))),
% 55.10/35.30 inference(quant_inst,[status(thm)],[])).
% 55.10/35.30 tff(36286,plain,
% 55.10/35.30 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB155) | (~v130(constB155, 0)) | v127(constB155, 0)),
% 55.10/35.30 inference(modus_ponens,[status(thm)],[36285, 36284])).
% 55.10/35.30 tff(36287,plain,
% 55.10/35.30 ((~v130(constB155, 0)) | v127(constB155, 0)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36286, 1347, 29572])).
% 55.10/35.30 tff(36288,plain,
% 55.10/35.30 (v127(constB155, 0)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36287, 36283])).
% 55.10/35.30 tff(36289,plain,
% 55.10/35.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB155, constB156)) | (~v127(constB155, 0)) | v129(constB156, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB155, constB156)) | (~v127(constB155, 0)) | v129(constB156, 0))),
% 55.10/35.30 inference(rewrite,[status(thm)],[])).
% 55.10/35.30 tff(36290,plain,
% 55.10/35.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB155, constB156)) | (~v127(constB155, 0)) | v129(constB156, 0))),
% 55.10/35.30 inference(quant_inst,[status(thm)],[])).
% 55.10/35.30 tff(36291,plain,
% 55.10/35.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB155, constB156)) | (~v127(constB155, 0)) | v129(constB156, 0)),
% 55.10/35.30 inference(modus_ponens,[status(thm)],[36290, 36289])).
% 55.10/35.30 tff(36292,plain,
% 55.10/35.30 ((~v127(constB155, 0)) | v129(constB156, 0)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36291, 1362, 29583])).
% 55.10/35.30 tff(36293,plain,
% 55.10/35.30 (v129(constB156, 0)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36292, 36288])).
% 55.10/35.30 tff(36294,assumption,(v100(constB156)), introduced(assumption)).
% 55.10/35.30 tff(36295,plain,
% 55.10/35.30 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB156, 0) | (~v129(constB156, 0)) | (~v100(constB156)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB156, 0) | (~v129(constB156, 0)) | (~v100(constB156)))),
% 55.10/35.30 inference(rewrite,[status(thm)],[])).
% 55.10/35.30 tff(36296,plain,
% 55.10/35.30 ((v90(constB156, 0) | (~v100(constB156)) | (~v129(constB156, 0))) <=> (v90(constB156, 0) | (~v129(constB156, 0)) | (~v100(constB156)))),
% 55.10/35.30 inference(rewrite,[status(thm)],[])).
% 55.10/35.30 tff(36297,plain,
% 55.10/35.30 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB156, 0) | (~v100(constB156)) | (~v129(constB156, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB156, 0) | (~v129(constB156, 0)) | (~v100(constB156))))),
% 55.10/35.30 inference(monotonicity,[status(thm)],[36296])).
% 55.10/35.30 tff(36298,plain,
% 55.10/35.30 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB156, 0) | (~v100(constB156)) | (~v129(constB156, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB156, 0) | (~v129(constB156, 0)) | (~v100(constB156)))),
% 55.10/35.30 inference(transitivity,[status(thm)],[36297, 36295])).
% 55.10/35.30 tff(36299,plain,
% 55.10/35.30 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB156, 0) | (~v100(constB156)) | (~v129(constB156, 0)))),
% 55.10/35.30 inference(quant_inst,[status(thm)],[])).
% 55.10/35.30 tff(36300,plain,
% 55.10/35.30 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB156, 0) | (~v129(constB156, 0)) | (~v100(constB156))),
% 55.10/35.30 inference(modus_ponens,[status(thm)],[36299, 36298])).
% 55.10/35.30 tff(36301,plain,
% 55.10/35.30 (v90(constB156, 0) | (~v129(constB156, 0))),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36300, 1377, 36294])).
% 55.10/35.30 tff(36302,plain,
% 55.10/35.30 (v90(constB156, 0)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36301, 36293])).
% 55.10/35.30 tff(36303,plain,
% 55.10/35.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB156, 0)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB156, 0)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, 0))),
% 55.10/35.30 inference(rewrite,[status(thm)],[])).
% 55.10/35.30 tff(36304,plain,
% 55.10/35.30 (((~nextState(constB156, constB157)) | (~v90(constB156, 0)) | v100(constB157) | v90(constB157, 0)) <=> ((~v90(constB156, 0)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, 0))),
% 55.10/35.30 inference(rewrite,[status(thm)],[])).
% 55.10/35.30 tff(36305,plain,
% 55.10/35.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB156, constB157)) | (~v90(constB156, 0)) | v100(constB157) | v90(constB157, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB156, 0)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, 0)))),
% 55.10/35.30 inference(monotonicity,[status(thm)],[36304])).
% 55.10/35.30 tff(36306,plain,
% 55.10/35.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB156, constB157)) | (~v90(constB156, 0)) | v100(constB157) | v90(constB157, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB156, 0)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, 0))),
% 55.10/35.30 inference(transitivity,[status(thm)],[36305, 36303])).
% 55.10/35.30 tff(36307,plain,
% 55.10/35.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB156, constB157)) | (~v90(constB156, 0)) | v100(constB157) | v90(constB157, 0))),
% 55.10/35.30 inference(quant_inst,[status(thm)],[])).
% 55.10/35.30 tff(36308,plain,
% 55.10/35.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB156, 0)) | (~nextState(constB156, constB157)) | v100(constB157) | v90(constB157, 0)),
% 55.10/35.30 inference(modus_ponens,[status(thm)],[36307, 36306])).
% 55.10/35.30 tff(36309,plain,
% 55.10/35.30 ((~v90(constB156, 0)) | v100(constB157) | v90(constB157, 0)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36308, 1395, 29591])).
% 55.10/35.30 tff(36310,plain,
% 55.10/35.30 ((~v90(constB156, 0)) | v90(constB157, 0)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36309, 29603])).
% 55.10/35.30 tff(36311,plain,
% 55.10/35.30 (v90(constB157, 0)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36310, 36302])).
% 55.10/35.30 tff(36312,plain,
% 55.10/35.30 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB155)) | (~v130(constB155, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB155)) | (~v130(constB155, 1)))),
% 55.10/35.30 inference(rewrite,[status(thm)],[])).
% 55.10/35.30 tff(36313,plain,
% 55.10/35.30 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB155)) | (~v130(constB155, 1)))),
% 55.10/35.30 inference(quant_inst,[status(thm)],[])).
% 55.10/35.30 tff(36314,plain,
% 55.10/35.30 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB155)) | (~v130(constB155, 1))),
% 55.10/35.30 inference(modus_ponens,[status(thm)],[36313, 36312])).
% 55.10/35.30 tff(36315,plain,
% 55.10/35.30 (~v130(constB155, 1)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36314, 2581, 36279])).
% 55.10/35.30 tff(36316,plain,
% 55.10/35.30 (~v127(constB155, 1)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[29648, 36315])).
% 55.10/35.30 tff(36317,plain,
% 55.10/35.30 (~v129(constB156, 1)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[29653, 36316])).
% 55.10/35.30 tff(36318,plain,
% 55.10/35.30 ((~v90(constB156, 1)) | v129(constB156, 1)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[29660, 1309, 36294])).
% 55.10/35.30 tff(36319,plain,
% 55.10/35.30 (~v90(constB156, 1)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36318, 36317])).
% 55.10/35.30 tff(36320,plain,
% 55.10/35.30 (~v90(constB157, 1)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[29670, 36319])).
% 55.10/35.30 tff(36321,plain,
% 55.10/35.30 (v124(constB157)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[29441, 36320, 36311])).
% 55.10/35.30 tff(36322,plain,
% 55.10/35.30 (v100(constB158)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[29473, 36320, 29675])).
% 55.10/35.30 tff(36323,plain,
% 55.10/35.30 (v129(constB158, 0)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36244, 36322])).
% 55.10/35.30 tff(36324,plain,
% 55.10/35.30 (v127(constB157, 0)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[29392, 36323])).
% 55.10/35.30 tff(36325,plain,
% 55.10/35.30 (v130(constB157, 0)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[29387, 36324])).
% 55.10/35.30 tff(36326,plain,
% 55.10/35.30 ($false),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36250, 3274, 36325, 36321])).
% 55.10/35.30 tff(36327,plain,((~v123(constB155)) | (~v90(constB158, 0)) | (~v90(constB157, 2)) | (~v90(constB158, 1)) | (~v100(constB156))), inference(lemma,lemma(discharge,[]))).
% 55.10/35.30 tff(36328,plain,
% 55.10/35.30 (~v123(constB155)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36327, 36224, 36273, 36276, 36278])).
% 55.10/35.30 tff(36329,plain,
% 55.10/35.30 (v129(constB156, 2) | (~v100(constB156))),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[29828, 1223, 36274])).
% 55.10/35.30 tff(36330,plain,
% 55.10/35.30 (v129(constB156, 2)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36329, 36278])).
% 55.10/35.30 tff(36331,plain,
% 55.10/35.30 (v127(constB155, 2)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[29824, 36330])).
% 55.10/35.30 tff(36332,plain,
% 55.10/35.30 (v130(constB155, 2)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[29818, 36331])).
% 55.10/35.30 tff(36333,plain,
% 55.10/35.30 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB155)) | (~v130(constB155, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB155)) | (~v130(constB155, 2)))),
% 55.10/35.30 inference(rewrite,[status(thm)],[])).
% 55.10/35.30 tff(36334,plain,
% 55.10/35.30 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB155)) | (~v130(constB155, 2)))),
% 55.10/35.30 inference(quant_inst,[status(thm)],[])).
% 55.10/35.30 tff(36335,plain,
% 55.10/35.30 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB155)) | (~v130(constB155, 2))),
% 55.10/35.30 inference(modus_ponens,[status(thm)],[36334, 36333])).
% 55.10/35.30 tff(36336,plain,
% 55.10/35.30 (~v119(constB155)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36335, 1176, 36332])).
% 55.10/35.30 tff(36337,plain,
% 55.10/35.30 (~v121(constB155)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[30425, 1821, 36332])).
% 55.10/35.30 tff(36338,plain,
% 55.10/35.30 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB155)) | (~v130(constB155, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB155)) | (~v130(constB155, 2)))),
% 55.10/35.30 inference(rewrite,[status(thm)],[])).
% 55.10/35.30 tff(36339,plain,
% 55.10/35.30 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB155)) | (~v130(constB155, 2)))),
% 55.10/35.30 inference(quant_inst,[status(thm)],[])).
% 55.10/35.30 tff(36340,plain,
% 55.10/35.30 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB155)) | (~v130(constB155, 2))),
% 55.10/35.30 inference(modus_ponens,[status(thm)],[36339, 36338])).
% 55.10/35.30 tff(36341,plain,
% 55.10/35.30 (~v120(constB155)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36340, 1523, 36332])).
% 55.10/35.30 tff(36342,plain,
% 55.10/35.30 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v120(constB157)) | (~v90(constB157, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | (~v120(constB157)) | (~v90(constB157, 2)))),
% 55.10/35.30 inference(rewrite,[status(thm)],[])).
% 55.10/35.30 tff(36343,plain,
% 55.10/35.30 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v120(constB157)) | (~v90(constB157, 2)))),
% 55.10/35.30 inference(quant_inst,[status(thm)],[])).
% 55.10/35.30 tff(36344,plain,
% 55.10/35.30 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v90(VarCurr, 2)))) | (~v120(constB157)) | (~v90(constB157, 2))),
% 55.10/35.30 inference(modus_ponens,[status(thm)],[36343, 36342])).
% 55.10/35.30 tff(36345,plain,
% 55.10/35.30 (~v120(constB157)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36344, 3825, 36273])).
% 55.10/35.30 tff(36346,plain,
% 55.10/35.30 (~v122(constB157)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[30577, 2797, 36273])).
% 55.10/35.30 tff(36347,plain,
% 55.10/35.30 (~v121(constB157)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[30581, 2857, 36273])).
% 55.10/35.30 tff(36348,plain,
% 55.10/35.30 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v119(constB157)) | (~v90(constB157, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | (~v119(constB157)) | (~v90(constB157, 2)))),
% 55.10/35.30 inference(rewrite,[status(thm)],[])).
% 55.10/35.30 tff(36349,plain,
% 55.10/35.30 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | ((~v119(constB157)) | (~v90(constB157, 2)))),
% 55.10/35.30 inference(quant_inst,[status(thm)],[])).
% 55.10/35.30 tff(36350,plain,
% 55.10/35.30 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v90(VarCurr, 2)))) | (~v119(constB157)) | (~v90(constB157, 2))),
% 55.10/35.30 inference(modus_ponens,[status(thm)],[36349, 36348])).
% 55.10/35.30 tff(36351,plain,
% 55.10/35.30 (~v119(constB157)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36350, 3814, 36273])).
% 55.10/35.30 tff(36352,plain,
% 55.10/35.30 (v129(constB158, 1)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[29682, 30593])).
% 55.10/35.30 tff(36353,plain,
% 55.10/35.30 (v127(constB157, 1)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[29687, 36352])).
% 55.10/35.30 tff(36354,plain,
% 55.10/35.30 (v130(constB157, 1)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[29695, 36353])).
% 55.10/35.30 tff(36355,plain,
% 55.10/35.30 (~v123(constB157)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[29699, 2581, 36354])).
% 55.10/35.30 tff(36356,plain,
% 55.10/35.30 (v129(constB158, 0)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36244, 30593])).
% 55.10/35.30 tff(36357,plain,
% 55.10/35.30 (v127(constB157, 0)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[29392, 36356])).
% 55.10/35.30 tff(36358,plain,
% 55.10/35.30 (v130(constB157, 0)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[29387, 36357])).
% 55.10/35.30 tff(36359,plain,
% 55.10/35.30 (~v124(constB157)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36250, 3274, 36358])).
% 55.10/35.30 tff(36360,assumption,(~v120(constB157)), introduced(assumption)).
% 55.10/35.30 tff(36361,assumption,(~v122(constB157)), introduced(assumption)).
% 55.10/35.30 tff(36362,plain,
% 55.10/35.30 (v123(constB157) | v124(constB157) | (~v130(constB157, 1))),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[30622, 3309, 29227, 29229, 36361, 36360])).
% 55.10/35.30 tff(36363,plain,
% 55.10/35.30 ($false),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36362, 36359, 36355, 36354])).
% 55.10/35.30 tff(36364,plain,((~v100(constB158)) | v119(constB157) | v121(constB157) | v122(constB157) | v120(constB157) | (~v90(constB158, 0)) | (~v90(constB158, 1))), inference(lemma,lemma(discharge,[]))).
% 55.10/35.30 tff(36365,plain,
% 55.10/35.30 (~v100(constB158)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36364, 36351, 36347, 36346, 36345, 36224, 36276])).
% 55.10/35.30 tff(36366,plain,
% 55.10/35.30 (v90(constB157, 0)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[29427, 36365, 36224])).
% 55.10/35.30 tff(36367,plain,
% 55.10/35.30 (v90(constB156, 0)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[29636, 36366])).
% 55.10/35.30 tff(36368,plain,
% 55.10/35.30 ((~v90(constB156, 0)) | v129(constB156, 0)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[29626, 1704, 36278])).
% 55.10/35.30 tff(36369,plain,
% 55.10/35.30 (v129(constB156, 0)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36368, 36367])).
% 55.10/35.30 tff(36370,plain,
% 55.10/35.30 (v127(constB155, 0)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[29587, 36369])).
% 55.10/35.30 tff(36371,plain,
% 55.10/35.30 (v130(constB155, 0)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[29579, 36370])).
% 55.10/35.30 tff(36372,plain,
% 55.10/35.30 (~v124(constB155)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[30414, 3274, 36371])).
% 55.10/35.30 tff(36373,plain,
% 55.10/35.30 (~v122(constB155)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[29567, 2407, 36371])).
% 55.10/35.30 tff(36374,plain,
% 55.10/35.30 (v119(constB155) | v120(constB155) | v121(constB155) | v122(constB155) | v123(constB155) | v124(constB155)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[29809, 2904, 36332])).
% 55.10/35.30 tff(36375,plain,
% 55.10/35.30 ($false),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36374, 36373, 36372, 36341, 36337, 36336, 36328])).
% 55.10/35.30 tff(36376,plain,(v100(constB160) | v90(constB127, 2) | (~v90(constB160, 2)) | (~v90(constB160, 0)) | (~v90(constB160, 1))), inference(lemma,lemma(discharge,[]))).
% 55.10/35.30 tff(36377,plain,
% 55.10/35.30 (v100(constB160)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36376, 36214, 26097, 36205, 36195])).
% 55.10/35.30 tff(36378,plain,
% 55.10/35.30 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB160, 1)) | v129(constB160, 1) | (~v100(constB160)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB160, 1)) | v129(constB160, 1) | (~v100(constB160)))),
% 55.10/35.30 inference(rewrite,[status(thm)],[])).
% 55.10/35.30 tff(36379,plain,
% 55.10/35.30 (((~v90(constB160, 1)) | (~v100(constB160)) | v129(constB160, 1)) <=> ((~v90(constB160, 1)) | v129(constB160, 1) | (~v100(constB160)))),
% 55.10/35.30 inference(rewrite,[status(thm)],[])).
% 55.10/35.30 tff(36380,plain,
% 55.10/35.30 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB160, 1)) | (~v100(constB160)) | v129(constB160, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB160, 1)) | v129(constB160, 1) | (~v100(constB160))))),
% 55.10/35.30 inference(monotonicity,[status(thm)],[36379])).
% 55.10/35.30 tff(36381,plain,
% 55.10/35.30 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB160, 1)) | (~v100(constB160)) | v129(constB160, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB160, 1)) | v129(constB160, 1) | (~v100(constB160)))),
% 55.10/35.30 inference(transitivity,[status(thm)],[36380, 36378])).
% 55.10/35.30 tff(36382,plain,
% 55.10/35.30 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB160, 1)) | (~v100(constB160)) | v129(constB160, 1))),
% 55.10/35.30 inference(quant_inst,[status(thm)],[])).
% 55.10/35.30 tff(36383,plain,
% 55.10/35.30 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB160, 1)) | v129(constB160, 1) | (~v100(constB160))),
% 55.10/35.30 inference(modus_ponens,[status(thm)],[36382, 36381])).
% 55.10/35.30 tff(36384,plain,
% 55.10/35.30 (v129(constB160, 1) | (~v100(constB160))),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36383, 1309, 36195])).
% 55.10/35.30 tff(36385,plain,
% 55.10/35.30 (v129(constB160, 1)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36384, 36377])).
% 55.10/35.30 tff(36386,plain,
% 55.10/35.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB159, constB160)) | v127(constB159, 1) | (~v129(constB160, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB159, constB160)) | v127(constB159, 1) | (~v129(constB160, 1)))),
% 55.10/35.30 inference(rewrite,[status(thm)],[])).
% 55.10/35.30 tff(36387,plain,
% 55.10/35.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB159, constB160)) | v127(constB159, 1) | (~v129(constB160, 1)))),
% 55.10/35.30 inference(quant_inst,[status(thm)],[])).
% 55.10/35.30 tff(36388,plain,
% 55.10/35.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB159, constB160)) | v127(constB159, 1) | (~v129(constB160, 1))),
% 55.10/35.30 inference(modus_ponens,[status(thm)],[36387, 36386])).
% 55.10/35.30 tff(36389,plain,
% 55.10/35.30 (v127(constB159, 1) | (~v129(constB160, 1))),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36388, 1294, 30700])).
% 55.10/35.30 tff(36390,plain,
% 55.10/35.30 (v127(constB159, 1)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36389, 36385])).
% 55.10/35.30 tff(36391,plain,
% 55.10/35.30 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB159, 1)) | v26(constB159) | v130(constB159, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB159, 1)) | v26(constB159) | v130(constB159, 1))),
% 55.10/35.30 inference(rewrite,[status(thm)],[])).
% 55.10/35.30 tff(36392,plain,
% 55.10/35.30 ((v26(constB159) | v130(constB159, 1) | (~v127(constB159, 1))) <=> ((~v127(constB159, 1)) | v26(constB159) | v130(constB159, 1))),
% 55.10/35.30 inference(rewrite,[status(thm)],[])).
% 55.10/35.30 tff(36393,plain,
% 55.10/35.30 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB159) | v130(constB159, 1) | (~v127(constB159, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB159, 1)) | v26(constB159) | v130(constB159, 1)))),
% 55.10/35.30 inference(monotonicity,[status(thm)],[36392])).
% 55.10/35.30 tff(36394,plain,
% 55.10/35.30 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB159) | v130(constB159, 1) | (~v127(constB159, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB159, 1)) | v26(constB159) | v130(constB159, 1))),
% 55.10/35.30 inference(transitivity,[status(thm)],[36393, 36391])).
% 55.10/35.30 tff(36395,plain,
% 55.10/35.30 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB159) | v130(constB159, 1) | (~v127(constB159, 1)))),
% 55.10/35.30 inference(quant_inst,[status(thm)],[])).
% 55.10/35.30 tff(36396,plain,
% 55.10/35.30 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB159, 1)) | v26(constB159) | v130(constB159, 1)),
% 55.10/35.30 inference(modus_ponens,[status(thm)],[36395, 36394])).
% 55.10/35.30 tff(36397,plain,
% 55.10/35.30 ((~v127(constB159, 1)) | v130(constB159, 1)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36396, 1276, 30685])).
% 55.10/35.30 tff(36398,plain,
% 55.10/35.30 (v130(constB159, 1)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36397, 36390])).
% 55.10/35.30 tff(36399,plain,
% 55.10/35.30 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB159)) | (~v130(constB159, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB159)) | (~v130(constB159, 1)))),
% 55.10/35.30 inference(rewrite,[status(thm)],[])).
% 55.10/35.30 tff(36400,plain,
% 55.10/35.30 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB159)) | (~v130(constB159, 1)))),
% 55.10/35.30 inference(quant_inst,[status(thm)],[])).
% 55.10/35.30 tff(36401,plain,
% 55.10/35.30 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB159)) | (~v130(constB159, 1))),
% 55.10/35.30 inference(modus_ponens,[status(thm)],[36400, 36399])).
% 55.10/35.30 tff(36402,plain,
% 55.10/35.30 (~v123(constB159)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36401, 2581, 36398])).
% 55.10/35.30 tff(36403,plain,
% 55.10/35.30 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB159)) | (~v130(constB159, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB159)) | (~v130(constB159, 1)))),
% 55.10/35.30 inference(rewrite,[status(thm)],[])).
% 55.10/35.30 tff(36404,plain,
% 55.10/35.30 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB159)) | (~v130(constB159, 1)))),
% 55.10/35.30 inference(quant_inst,[status(thm)],[])).
% 55.10/35.30 tff(36405,plain,
% 55.10/35.30 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB159)) | (~v130(constB159, 1))),
% 55.10/35.30 inference(modus_ponens,[status(thm)],[36404, 36403])).
% 55.10/35.30 tff(36406,plain,
% 55.10/35.30 (~v122(constB159)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36405, 2366, 36398])).
% 55.10/35.30 tff(36407,plain,
% 55.10/35.30 (v129(constB160, 0) | (~v100(constB160))),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[30837, 1704, 36205])).
% 55.10/35.30 tff(36408,plain,
% 55.10/35.30 (v129(constB160, 0)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36407, 36377])).
% 55.10/35.30 tff(36409,plain,
% 55.10/35.30 (v127(constB159, 0)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[30830, 36408])).
% 55.10/35.30 tff(36410,plain,
% 55.10/35.30 (v130(constB159, 0)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[30825, 36409])).
% 55.10/35.30 tff(36411,plain,
% 55.10/35.30 (~v120(constB159)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[30817, 1657, 36410])).
% 55.10/35.30 tff(36412,plain,
% 55.10/35.30 (v129(constB160, 2) | (~v100(constB160))),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[30754, 1223, 36214])).
% 55.10/35.30 tff(36413,plain,
% 55.10/35.30 (v129(constB160, 2)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[36412, 36377])).
% 55.10/35.30 tff(36414,plain,
% 55.10/35.30 (v127(constB159, 2)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[30750, 36413])).
% 55.10/35.30 tff(36415,plain,
% 55.10/35.30 (v130(constB159, 2)),
% 55.10/35.30 inference(unit_resolution,[status(thm)],[30745, 36414])).
% 55.10/35.30 tff(36416,plain,
% 55.10/35.30 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB159)) | (~v130(constB159, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB159)) | (~v130(constB159, 1)))),
% 55.10/35.30 inference(rewrite,[status(thm)],[])).
% 55.10/35.30 tff(36417,plain,
% 55.10/35.30 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB159)) | (~v130(constB159, 1)))),
% 55.10/35.30 inference(quant_inst,[status(thm)],[])).
% 55.10/35.30 tff(36418,plain,
% 55.10/35.30 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB159)) | (~v130(constB159, 1))),
% 55.14/35.31 inference(modus_ponens,[status(thm)],[36417, 36416])).
% 55.14/35.31 tff(36419,plain,
% 55.14/35.31 (~v119(constB159)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36418, 1262, 36398])).
% 55.14/35.31 tff(36420,plain,
% 55.14/35.31 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB159)) | (~v130(constB159, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB159)) | (~v130(constB159, 2)))),
% 55.14/35.31 inference(rewrite,[status(thm)],[])).
% 55.14/35.31 tff(36421,plain,
% 55.14/35.31 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB159)) | (~v130(constB159, 2)))),
% 55.14/35.31 inference(quant_inst,[status(thm)],[])).
% 55.14/35.31 tff(36422,plain,
% 55.14/35.31 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB159)) | (~v130(constB159, 2))),
% 55.14/35.31 inference(modus_ponens,[status(thm)],[36421, 36420])).
% 55.14/35.31 tff(36423,plain,
% 55.14/35.31 (~v121(constB159)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36422, 1821, 36415])).
% 55.14/35.31 tff(36424,assumption,(~v124(constB159)), introduced(assumption)).
% 55.14/35.31 tff(36425,plain,
% 55.14/35.31 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB159) | v120(constB159) | v121(constB159) | v122(constB159) | v123(constB159) | v124(constB159) | (~v130(constB159, 2)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB159) | v120(constB159) | v121(constB159) | v122(constB159) | v123(constB159) | v124(constB159) | (~v130(constB159, 2)))),
% 55.14/35.31 inference(rewrite,[status(thm)],[])).
% 55.14/35.31 tff(36426,plain,
% 55.14/35.31 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | (v119(constB159) | v120(constB159) | v121(constB159) | v122(constB159) | v123(constB159) | v124(constB159) | (~v130(constB159, 2)))),
% 55.14/35.31 inference(quant_inst,[status(thm)],[])).
% 55.14/35.31 tff(36427,plain,
% 55.14/35.31 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 2)))) | v119(constB159) | v120(constB159) | v121(constB159) | v122(constB159) | v123(constB159) | v124(constB159) | (~v130(constB159, 2))),
% 55.14/35.31 inference(modus_ponens,[status(thm)],[36426, 36425])).
% 55.14/35.31 tff(36428,plain,
% 55.14/35.31 (v119(constB159) | v120(constB159) | v121(constB159) | v122(constB159) | v123(constB159) | (~v130(constB159, 2))),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36427, 2904, 36424])).
% 55.14/35.31 tff(36429,plain,
% 55.14/35.31 ($false),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36428, 36423, 36419, 36415, 36411, 36406, 36402])).
% 55.14/35.31 tff(36430,plain,(v100(constB162) | v124(constB159) | (~v90(constB160, 1)) | v90(constB127, 2) | (~v90(constB162, 2)) | (~v90(constB162, 0))), inference(lemma,lemma(discharge,[]))).
% 55.14/35.31 tff(36431,plain,
% 55.14/35.31 (v100(constB162)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36430, 36194, 36083, 26097, 36044, 36035])).
% 55.14/35.31 tff(36432,plain,
% 55.14/35.31 (v129(constB162, 1) | (~v100(constB162))),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[33134, 1309, 36053])).
% 55.14/35.31 tff(36433,plain,
% 55.14/35.31 (v129(constB162, 1)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36432, 36431])).
% 55.14/35.31 tff(36434,plain,
% 55.14/35.31 (v127(constB161, 1)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[33127, 36433])).
% 55.14/35.31 tff(36435,plain,
% 55.14/35.31 (v130(constB161, 1)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[33122, 36434])).
% 55.14/35.31 tff(36436,plain,
% 55.14/35.31 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB161)) | (~v130(constB161, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB161)) | (~v130(constB161, 1)))),
% 55.14/35.31 inference(rewrite,[status(thm)],[])).
% 55.14/35.31 tff(36437,plain,
% 55.14/35.31 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB161)) | (~v130(constB161, 1)))),
% 55.14/35.31 inference(quant_inst,[status(thm)],[])).
% 55.14/35.31 tff(36438,plain,
% 55.14/35.31 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB161)) | (~v130(constB161, 1))),
% 55.14/35.31 inference(modus_ponens,[status(thm)],[36437, 36436])).
% 55.14/35.31 tff(36439,plain,
% 55.14/35.31 (~v122(constB161)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36438, 2366, 36435])).
% 55.14/35.31 tff(36440,plain,
% 55.14/35.31 (v129(constB162, 2) | (~v100(constB162))),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31009, 1223, 36044])).
% 55.14/35.31 tff(36441,plain,
% 55.14/35.31 (v129(constB162, 2)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36440, 36431])).
% 55.14/35.31 tff(36442,plain,
% 55.14/35.31 (v127(constB161, 2)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31005, 36441])).
% 55.14/35.31 tff(36443,plain,
% 55.14/35.31 (v130(constB161, 2)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31000, 36442])).
% 55.14/35.31 tff(36444,plain,
% 55.14/35.31 (~v121(constB161)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[30992, 1821, 36443])).
% 55.14/35.31 tff(36445,plain,
% 55.14/35.31 (~v119(constB161)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36143, 2868, 36082])).
% 55.14/35.31 tff(36446,plain,
% 55.14/35.31 (~v124(constB161)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36147, 2890, 36082])).
% 55.14/35.31 tff(36447,plain,
% 55.14/35.31 (~v123(constB161)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36151, 2879, 36082])).
% 55.14/35.31 tff(36448,plain,
% 55.14/35.31 (~v120(constB161)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36155, 2846, 36082])).
% 55.14/35.31 tff(36449,plain,
% 55.14/35.31 (v121(constB161) | v122(constB161) | (~v130(constB161, 1))),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36168, 3309, 36448, 36447, 36446, 36445])).
% 55.14/35.31 tff(36450,plain,
% 55.14/35.31 ($false),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36449, 36444, 36439, 36435])).
% 55.14/35.31 tff(36451,plain,(v100(constB166) | v90(constB127, 2) | (~v90(constB166, 1)) | (~v90(constB166, 0)) | (~v90(constB166, 2))), inference(lemma,lemma(discharge,[]))).
% 55.14/35.31 tff(36452,plain,
% 55.14/35.31 (v100(constB166)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36451, 35955, 26097, 35953, 35951])).
% 55.14/35.31 tff(36453,plain,
% 55.14/35.31 (v129(constB166, 0) | (~v100(constB166))),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[32857, 1704, 35953])).
% 55.14/35.31 tff(36454,plain,
% 55.14/35.31 (v129(constB166, 0)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36453, 36452])).
% 55.14/35.31 tff(36455,plain,
% 55.14/35.31 (v127(constB165, 0)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[32850, 36454])).
% 55.14/35.31 tff(36456,plain,
% 55.14/35.31 (v130(constB165, 0)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[32845, 36455])).
% 55.14/35.31 tff(36457,plain,
% 55.14/35.31 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB165)) | (~v130(constB165, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB165)) | (~v130(constB165, 0)))),
% 55.14/35.31 inference(rewrite,[status(thm)],[])).
% 55.14/35.31 tff(36458,plain,
% 55.14/35.31 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB165)) | (~v130(constB165, 0)))),
% 55.14/35.31 inference(quant_inst,[status(thm)],[])).
% 55.14/35.31 tff(36459,plain,
% 55.14/35.31 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB165)) | (~v130(constB165, 0))),
% 55.14/35.31 inference(modus_ponens,[status(thm)],[36458, 36457])).
% 55.14/35.31 tff(36460,plain,
% 55.14/35.31 (~v124(constB165)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36459, 3274, 36456])).
% 55.14/35.31 tff(36461,plain,
% 55.14/35.31 (v129(constB166, 1) | (~v100(constB166))),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31406, 1309, 35955])).
% 55.14/35.31 tff(36462,plain,
% 55.14/35.31 (v129(constB166, 1)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36461, 36452])).
% 55.14/35.31 tff(36463,plain,
% 55.14/35.31 (v127(constB165, 1)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31399, 36462])).
% 55.14/35.31 tff(36464,plain,
% 55.14/35.31 (v130(constB165, 1)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31394, 36463])).
% 55.14/35.31 tff(36465,plain,
% 55.14/35.31 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB165)) | (~v130(constB165, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB165)) | (~v130(constB165, 1)))),
% 55.14/35.31 inference(rewrite,[status(thm)],[])).
% 55.14/35.31 tff(36466,plain,
% 55.14/35.31 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB165)) | (~v130(constB165, 1)))),
% 55.14/35.31 inference(quant_inst,[status(thm)],[])).
% 55.14/35.31 tff(36467,plain,
% 55.14/35.31 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB165)) | (~v130(constB165, 1))),
% 55.14/35.31 inference(modus_ponens,[status(thm)],[36466, 36465])).
% 55.14/35.31 tff(36468,plain,
% 55.14/35.31 (~v122(constB165)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36467, 2366, 36464])).
% 55.14/35.31 tff(36469,plain,
% 55.14/35.31 (v129(constB166, 2) | (~v100(constB166))),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[32792, 1223, 35951])).
% 55.14/35.31 tff(36470,plain,
% 55.14/35.31 (v129(constB166, 2)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36469, 36452])).
% 55.14/35.31 tff(36471,plain,
% 55.14/35.31 (v127(constB165, 2)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[32788, 36470])).
% 55.14/35.31 tff(36472,plain,
% 55.14/35.31 (v130(constB165, 2)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[32783, 36471])).
% 55.14/35.31 tff(36473,plain,
% 55.14/35.31 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB165)) | (~v130(constB165, 2)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB165)) | (~v130(constB165, 2)))),
% 55.14/35.31 inference(rewrite,[status(thm)],[])).
% 55.14/35.31 tff(36474,plain,
% 55.14/35.31 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v119(constB165)) | (~v130(constB165, 2)))),
% 55.14/35.31 inference(quant_inst,[status(thm)],[])).
% 55.14/35.31 tff(36475,plain,
% 55.14/35.31 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 2)))) | (~v119(constB165)) | (~v130(constB165, 2))),
% 55.14/35.31 inference(modus_ponens,[status(thm)],[36474, 36473])).
% 55.14/35.31 tff(36476,plain,
% 55.14/35.31 (~v119(constB165)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36475, 1176, 36472])).
% 55.14/35.31 tff(36477,plain,
% 55.14/35.31 (~v120(constB165)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[32775, 1523, 36472])).
% 55.14/35.31 tff(36478,assumption,(v121(constB165)), introduced(assumption)).
% 55.14/35.31 tff(36479,plain,
% 55.14/35.31 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB165)) | v117(constB165))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB165)) | v117(constB165))),
% 55.14/35.31 inference(rewrite,[status(thm)],[])).
% 55.14/35.31 tff(36480,plain,
% 55.14/35.31 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | ((~v121(constB165)) | v117(constB165))),
% 55.14/35.31 inference(quant_inst,[status(thm)],[])).
% 55.14/35.31 tff(36481,plain,
% 55.14/35.31 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v117(VarCurr))) | (~v121(constB165)) | v117(constB165)),
% 55.14/35.31 inference(modus_ponens,[status(thm)],[36480, 36479])).
% 55.14/35.31 tff(36482,plain,
% 55.14/35.31 (v117(constB165)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36481, 1742, 36478])).
% 55.14/35.31 tff(36483,plain,
% 55.14/35.31 (v116(constB165)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[32758, 1007, 36482])).
% 55.14/35.31 tff(36484,plain,
% 55.14/35.31 (v115(constB165)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[32765, 1021, 36483])).
% 55.14/35.31 tff(36485,plain,
% 55.14/35.31 (v114(constB165)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31273, 1035, 36484])).
% 55.14/35.31 tff(36486,plain,
% 55.14/35.31 (v113(constB165)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31280, 1049, 36485])).
% 55.14/35.31 tff(36487,plain,
% 55.14/35.31 (v112(constB165)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31289, 36486])).
% 55.14/35.31 tff(36488,plain,
% 55.14/35.31 (v108(constB165)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31296, 1075, 36487])).
% 55.14/35.31 tff(36489,plain,
% 55.14/35.31 (v110(constB166)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31307, 36488])).
% 55.14/35.31 tff(36490,plain,
% 55.14/35.31 (v100(constB166)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31333, 36489])).
% 55.14/35.31 tff(36491,plain,
% 55.14/35.31 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB165)) | (~v130(constB165, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB165)) | (~v130(constB165, 2)))),
% 55.14/35.31 inference(rewrite,[status(thm)],[])).
% 55.14/35.31 tff(36492,plain,
% 55.14/35.31 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB165)) | (~v130(constB165, 2)))),
% 55.14/35.31 inference(quant_inst,[status(thm)],[])).
% 55.14/35.31 tff(36493,plain,
% 55.14/35.31 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB165)) | (~v130(constB165, 2))),
% 55.14/35.31 inference(modus_ponens,[status(thm)],[36492, 36491])).
% 55.14/35.31 tff(36494,plain,
% 55.14/35.31 (~v130(constB165, 2)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36493, 1821, 36478])).
% 55.14/35.31 tff(36495,plain,
% 55.14/35.31 (~v127(constB165, 2)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[32783, 36494])).
% 55.14/35.31 tff(36496,plain,
% 55.14/35.31 (~v129(constB166, 2)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[32788, 36495])).
% 55.14/35.31 tff(36497,plain,
% 55.14/35.31 ((~v90(constB166, 2)) | (~v100(constB166))),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[32792, 1223, 36496])).
% 55.14/35.31 tff(36498,plain,
% 55.14/35.31 (~v90(constB166, 2)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36497, 36490])).
% 55.14/35.31 tff(36499,plain,
% 55.14/35.31 (~v90(constB167, 2)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[32802, 36498])).
% 55.14/35.31 tff(36500,plain,
% 55.14/35.31 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB165)) | v130(constB165, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB165)) | v130(constB165, 0))),
% 55.14/35.31 inference(rewrite,[status(thm)],[])).
% 55.14/35.31 tff(36501,plain,
% 55.14/35.31 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB165)) | v130(constB165, 0))),
% 55.14/35.31 inference(quant_inst,[status(thm)],[])).
% 55.14/35.31 tff(36502,plain,
% 55.14/35.31 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB165)) | v130(constB165, 0)),
% 55.14/35.31 inference(modus_ponens,[status(thm)],[36501, 36500])).
% 55.14/35.31 tff(36503,plain,
% 55.14/35.31 (v130(constB165, 0)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36502, 1915, 36478])).
% 55.14/35.31 tff(36504,plain,
% 55.14/35.31 (v127(constB165, 0)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31342, 36503])).
% 55.14/35.31 tff(36505,plain,
% 55.14/35.31 (v129(constB166, 0)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31347, 36504])).
% 55.14/35.31 tff(36506,plain,
% 55.14/35.31 (v90(constB166, 0) | (~v100(constB166))),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31354, 1377, 36505])).
% 55.14/35.31 tff(36507,plain,
% 55.14/35.31 (v90(constB166, 0)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36506, 36490])).
% 55.14/35.31 tff(36508,plain,
% 55.14/35.31 (v90(constB167, 0)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31382, 36507])).
% 55.14/35.31 tff(36509,plain,
% 55.14/35.31 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB165)) | v130(constB165, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB165)) | v130(constB165, 1))),
% 55.14/35.31 inference(rewrite,[status(thm)],[])).
% 55.14/35.31 tff(36510,plain,
% 55.14/35.31 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB165)) | v130(constB165, 1))),
% 55.14/35.31 inference(quant_inst,[status(thm)],[])).
% 55.14/35.31 tff(36511,plain,
% 55.14/35.31 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB165)) | v130(constB165, 1)),
% 55.14/35.31 inference(modus_ponens,[status(thm)],[36510, 36509])).
% 55.14/35.31 tff(36512,plain,
% 55.14/35.31 (v130(constB165, 1)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36511, 1877, 36478])).
% 55.14/35.31 tff(36513,plain,
% 55.14/35.31 (v127(constB165, 1)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[32811, 36512])).
% 55.14/35.31 tff(36514,plain,
% 55.14/35.31 (v129(constB166, 1)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[32816, 36513])).
% 55.14/35.31 tff(36515,plain,
% 55.14/35.31 (v90(constB166, 1) | (~v100(constB166))),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[32823, 1623, 36514])).
% 55.14/35.31 tff(36516,plain,
% 55.14/35.31 (v90(constB166, 1)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36515, 36490])).
% 55.14/35.31 tff(36517,plain,
% 55.14/35.31 (v90(constB167, 1)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[32833, 36516])).
% 55.14/35.31 tff(36518,plain,
% 55.14/35.31 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB167, 0)) | (~v90(constB167, 1)) | v90(constB167, 2) | v122(constB167))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB167, 0)) | (~v90(constB167, 1)) | v90(constB167, 2) | v122(constB167))),
% 55.14/35.31 inference(rewrite,[status(thm)],[])).
% 55.14/35.31 tff(36519,plain,
% 55.14/35.31 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB167, 0)) | (~v90(constB167, 1)) | v90(constB167, 2) | v122(constB167))),
% 55.14/35.31 inference(quant_inst,[status(thm)],[])).
% 55.14/35.31 tff(36520,plain,
% 55.14/35.31 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB167, 0)) | (~v90(constB167, 1)) | v90(constB167, 2) | v122(constB167)),
% 55.14/35.31 inference(modus_ponens,[status(thm)],[36519, 36518])).
% 55.14/35.31 tff(36521,plain,
% 55.14/35.31 ((~v90(constB167, 0)) | (~v90(constB167, 1)) | v90(constB167, 2)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36520, 1956, 35941])).
% 55.14/35.31 tff(36522,plain,
% 55.14/35.31 ($false),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36521, 36517, 36508, 36499])).
% 55.14/35.31 tff(36523,plain,((~v121(constB165)) | v122(constB167)), inference(lemma,lemma(discharge,[]))).
% 55.14/35.31 tff(36524,plain,
% 55.14/35.31 (~v121(constB165)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36523, 35886])).
% 55.14/35.31 tff(36525,assumption,(v123(constB165)), introduced(assumption)).
% 55.14/35.31 tff(36526,plain,
% 55.14/35.31 (v115(constB165)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31266, 2291, 36525])).
% 55.14/35.31 tff(36527,plain,
% 55.14/35.31 (v114(constB165)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31273, 1035, 36526])).
% 55.14/35.31 tff(36528,plain,
% 55.14/35.31 (v113(constB165)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31280, 1049, 36527])).
% 55.14/35.31 tff(36529,plain,
% 55.14/35.31 (v112(constB165)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31289, 36528])).
% 55.14/35.31 tff(36530,plain,
% 55.14/35.31 (v108(constB165)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31296, 1075, 36529])).
% 55.14/35.31 tff(36531,plain,
% 55.14/35.31 (v110(constB166)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31307, 36530])).
% 55.14/35.31 tff(36532,plain,
% 55.14/35.31 (v100(constB166)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31333, 36531])).
% 55.14/35.31 tff(36533,plain,
% 55.14/35.31 (~v130(constB165, 1)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31386, 2581, 36525])).
% 55.14/35.31 tff(36534,plain,
% 55.14/35.31 (~v127(constB165, 1)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31394, 36533])).
% 55.14/35.31 tff(36535,plain,
% 55.14/35.31 (~v129(constB166, 1)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31399, 36534])).
% 55.14/35.31 tff(36536,plain,
% 55.14/35.31 ((~v90(constB166, 1)) | (~v100(constB166))),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31406, 1309, 36535])).
% 55.14/35.31 tff(36537,plain,
% 55.14/35.31 (~v90(constB166, 1)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36536, 36532])).
% 55.14/35.31 tff(36538,plain,
% 55.14/35.31 (~v90(constB167, 1)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31416, 36537])).
% 55.14/35.31 tff(36539,plain,
% 55.14/35.31 (v100(constB168)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[35842, 36538, 35835])).
% 55.14/35.31 tff(36540,plain,
% 55.14/35.31 (v129(constB168, 1)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[35895, 36539])).
% 55.14/35.31 tff(36541,plain,
% 55.14/35.31 (v127(constB167, 1)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[35900, 36540])).
% 55.14/35.31 tff(36542,plain,
% 55.14/35.31 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))) | ((~v26(constB167)) | (~v127(constB167, 1)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))) | (~v26(constB167)) | (~v127(constB167, 1)))),
% 55.14/35.31 inference(rewrite,[status(thm)],[])).
% 55.14/35.31 tff(36543,plain,
% 55.14/35.31 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))) | ((~v26(constB167)) | (~v127(constB167, 1)))),
% 55.14/35.31 inference(quant_inst,[status(thm)],[])).
% 55.14/35.31 tff(36544,plain,
% 55.14/35.31 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v127(VarCurr, 1)))) | (~v26(constB167)) | (~v127(constB167, 1))),
% 55.14/35.31 inference(modus_ponens,[status(thm)],[36543, 36542])).
% 55.14/35.31 tff(36545,plain,
% 55.14/35.31 (~v26(constB167)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36544, 6104, 36541])).
% 55.14/35.31 tff(36546,plain,
% 55.14/35.31 (v129(constB168, 0)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[35812, 36539])).
% 55.14/35.31 tff(36547,plain,
% 55.14/35.31 (v127(constB167, 0)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31666, 36546])).
% 55.14/35.31 tff(36548,plain,
% 55.14/35.31 (v130(constB167, 0)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31660, 1671, 36547, 36545])).
% 55.14/35.31 tff(36549,plain,
% 55.14/35.31 (v130(constB165, 2)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31475, 2525, 36525])).
% 55.14/35.31 tff(36550,plain,
% 55.14/35.31 (v127(constB165, 2)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31471, 36549])).
% 55.14/35.31 tff(36551,plain,
% 55.14/35.31 (v129(constB166, 2)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31466, 36550])).
% 55.14/35.31 tff(36552,plain,
% 55.14/35.31 (v90(constB166, 2) | (~v100(constB166))),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31460, 2324, 36551])).
% 55.14/35.31 tff(36553,plain,
% 55.14/35.31 (v90(constB166, 2)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36552, 36532])).
% 55.14/35.31 tff(36554,plain,
% 55.14/35.31 (v90(constB167, 2)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31486, 36553])).
% 55.14/35.31 tff(36555,plain,
% 55.14/35.31 (v130(constB165, 0)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31337, 2622, 36525])).
% 55.14/35.31 tff(36556,plain,
% 55.14/35.31 (v127(constB165, 0)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31342, 36555])).
% 55.14/35.31 tff(36557,plain,
% 55.14/35.31 (v129(constB166, 0)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31347, 36556])).
% 55.14/35.31 tff(36558,plain,
% 55.14/35.31 (v90(constB166, 0) | (~v100(constB166))),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31354, 1377, 36557])).
% 55.14/35.31 tff(36559,plain,
% 55.14/35.31 (v90(constB166, 0)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36558, 36532])).
% 55.14/35.31 tff(36560,plain,
% 55.14/35.31 (v90(constB167, 0)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31382, 36559])).
% 55.14/35.31 tff(36561,plain,
% 55.14/35.31 (v124(constB167)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31490, 2663, 36560, 36538, 36554])).
% 55.14/35.31 tff(36562,plain,
% 55.14/35.31 ($false),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31653, 3274, 36561, 36548])).
% 55.14/35.31 tff(36563,plain,((~v123(constB165)) | (~v90(constB168, 0)) | (~v90(constB168, 1))), inference(lemma,lemma(discharge,[]))).
% 55.14/35.31 tff(36564,plain,
% 55.14/35.31 (~v123(constB165)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36563, 35798, 35808])).
% 55.14/35.31 tff(36565,plain,
% 55.14/35.31 (((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB165) | v120(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | (~v130(constB165, 1)))) <=> ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB165) | v120(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | (~v130(constB165, 1)))),
% 55.14/35.31 inference(rewrite,[status(thm)],[])).
% 55.14/35.31 tff(36566,plain,
% 55.14/35.31 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | (v119(constB165) | v120(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | (~v130(constB165, 1)))),
% 55.14/35.31 inference(quant_inst,[status(thm)],[])).
% 55.14/35.31 tff(36567,plain,
% 55.14/35.31 ((~![VarCurr: state_type] : (v119(VarCurr) | v120(VarCurr) | v121(VarCurr) | v122(VarCurr) | v123(VarCurr) | v124(VarCurr) | (~v130(VarCurr, 1)))) | v119(constB165) | v120(constB165) | v121(constB165) | v122(constB165) | v123(constB165) | v124(constB165) | (~v130(constB165, 1))),
% 55.14/35.31 inference(modus_ponens,[status(thm)],[36566, 36565])).
% 55.14/35.31 tff(36568,plain,
% 55.14/35.31 (v119(constB165) | v120(constB165) | v122(constB165) | v124(constB165) | (~v130(constB165, 1))),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36567, 3309, 36564, 36524])).
% 55.14/35.31 tff(36569,plain,
% 55.14/35.31 ($false),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36568, 36477, 36476, 36464, 36468, 36460])).
% 55.14/35.31 tff(36570,plain,(v100(constB170) | v90(constB127, 2) | (~v90(constB170, 2)) | (~v90(constB170, 1)) | (~v90(constB170, 0))), inference(lemma,lemma(discharge,[]))).
% 55.14/35.31 tff(36571,plain,
% 55.14/35.31 (v100(constB170)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36570, 35762, 26097, 35761, 35760])).
% 55.14/35.31 tff(36572,plain,
% 55.14/35.31 (v129(constB170, 2) | (~v100(constB170))),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31786, 1223, 35762])).
% 55.14/35.31 tff(36573,plain,
% 55.14/35.31 (v129(constB170, 2)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36572, 36571])).
% 55.14/35.31 tff(36574,plain,
% 55.14/35.31 (v127(constB169, 2)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31782, 36573])).
% 55.14/35.31 tff(36575,plain,
% 55.14/35.31 (v130(constB169, 2)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31777, 36574])).
% 55.14/35.31 tff(36576,plain,
% 55.14/35.31 (((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB169)) | (~v130(constB169, 2)))) <=> ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB169)) | (~v130(constB169, 2)))),
% 55.14/35.31 inference(rewrite,[status(thm)],[])).
% 55.14/35.31 tff(36577,plain,
% 55.14/35.31 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v120(constB169)) | (~v130(constB169, 2)))),
% 55.14/35.31 inference(quant_inst,[status(thm)],[])).
% 55.14/35.31 tff(36578,plain,
% 55.14/35.31 ((~![VarCurr: state_type] : ((~v120(VarCurr)) | (~v130(VarCurr, 2)))) | (~v120(constB169)) | (~v130(constB169, 2))),
% 55.14/35.31 inference(modus_ponens,[status(thm)],[36577, 36576])).
% 55.14/35.31 tff(36579,plain,
% 55.14/35.31 (~v120(constB169)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36578, 1523, 36575])).
% 55.14/35.31 tff(36580,plain,
% 55.14/35.31 (v129(constB170, 1) | (~v100(constB170))),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31842, 1309, 35761])).
% 55.14/35.31 tff(36581,plain,
% 55.14/35.31 (v129(constB170, 1)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36580, 36571])).
% 55.14/35.31 tff(36582,plain,
% 55.14/35.31 (v127(constB169, 1)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31835, 36581])).
% 55.14/35.31 tff(36583,plain,
% 55.14/35.31 (v130(constB169, 1)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31830, 36582])).
% 55.14/35.31 tff(36584,plain,
% 55.14/35.31 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB169)) | (~v130(constB169, 1)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB169)) | (~v130(constB169, 1)))),
% 55.14/35.31 inference(rewrite,[status(thm)],[])).
% 55.14/35.31 tff(36585,plain,
% 55.14/35.31 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v119(constB169)) | (~v130(constB169, 1)))),
% 55.14/35.31 inference(quant_inst,[status(thm)],[])).
% 55.14/35.31 tff(36586,plain,
% 55.14/35.31 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v130(VarCurr, 1)))) | (~v119(constB169)) | (~v130(constB169, 1))),
% 55.14/35.31 inference(modus_ponens,[status(thm)],[36585, 36584])).
% 55.14/35.31 tff(36587,plain,
% 55.14/35.31 (~v119(constB169)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36586, 1262, 36583])).
% 55.14/35.31 tff(36588,plain,
% 55.14/35.31 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB170, 0)) | v129(constB170, 0) | (~v100(constB170)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB170, 0)) | v129(constB170, 0) | (~v100(constB170)))),
% 55.14/35.31 inference(rewrite,[status(thm)],[])).
% 55.14/35.31 tff(36589,plain,
% 55.14/35.31 (((~v90(constB170, 0)) | (~v100(constB170)) | v129(constB170, 0)) <=> ((~v90(constB170, 0)) | v129(constB170, 0) | (~v100(constB170)))),
% 55.14/35.31 inference(rewrite,[status(thm)],[])).
% 55.14/35.31 tff(36590,plain,
% 55.14/35.31 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB170, 0)) | (~v100(constB170)) | v129(constB170, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB170, 0)) | v129(constB170, 0) | (~v100(constB170))))),
% 55.14/35.31 inference(monotonicity,[status(thm)],[36589])).
% 55.14/35.31 tff(36591,plain,
% 55.14/35.31 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB170, 0)) | (~v100(constB170)) | v129(constB170, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB170, 0)) | v129(constB170, 0) | (~v100(constB170)))),
% 55.14/35.31 inference(transitivity,[status(thm)],[36590, 36588])).
% 55.14/35.31 tff(36592,plain,
% 55.14/35.31 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB170, 0)) | (~v100(constB170)) | v129(constB170, 0))),
% 55.14/35.31 inference(quant_inst,[status(thm)],[])).
% 55.14/35.31 tff(36593,plain,
% 55.14/35.31 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB170, 0)) | v129(constB170, 0) | (~v100(constB170))),
% 55.14/35.31 inference(modus_ponens,[status(thm)],[36592, 36591])).
% 55.14/35.31 tff(36594,plain,
% 55.14/35.31 (v129(constB170, 0) | (~v100(constB170))),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36593, 1704, 35760])).
% 55.14/35.31 tff(36595,plain,
% 55.14/35.31 (v129(constB170, 0)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36594, 36571])).
% 55.14/35.31 tff(36596,plain,
% 55.14/35.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB169, constB170)) | v127(constB169, 0) | (~v129(constB170, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB169, constB170)) | v127(constB169, 0) | (~v129(constB170, 0)))),
% 55.14/35.31 inference(rewrite,[status(thm)],[])).
% 55.14/35.31 tff(36597,plain,
% 55.14/35.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB169, constB170)) | v127(constB169, 0) | (~v129(constB170, 0)))),
% 55.14/35.31 inference(quant_inst,[status(thm)],[])).
% 55.14/35.31 tff(36598,plain,
% 55.14/35.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB169, constB170)) | v127(constB169, 0) | (~v129(constB170, 0))),
% 55.14/35.31 inference(modus_ponens,[status(thm)],[36597, 36596])).
% 55.14/35.31 tff(36599,plain,
% 55.14/35.31 (v127(constB169, 0) | (~v129(constB170, 0))),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36598, 1689, 31711])).
% 55.14/35.31 tff(36600,plain,
% 55.14/35.31 (v127(constB169, 0)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36599, 36595])).
% 55.14/35.31 tff(36601,plain,
% 55.14/35.31 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB169, 0)) | v26(constB169) | v130(constB169, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB169, 0)) | v26(constB169) | v130(constB169, 0))),
% 55.14/35.31 inference(rewrite,[status(thm)],[])).
% 55.14/35.31 tff(36602,plain,
% 55.14/35.31 ((v26(constB169) | v130(constB169, 0) | (~v127(constB169, 0))) <=> ((~v127(constB169, 0)) | v26(constB169) | v130(constB169, 0))),
% 55.14/35.31 inference(rewrite,[status(thm)],[])).
% 55.14/35.31 tff(36603,plain,
% 55.14/35.31 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB169) | v130(constB169, 0) | (~v127(constB169, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB169, 0)) | v26(constB169) | v130(constB169, 0)))),
% 55.14/35.31 inference(monotonicity,[status(thm)],[36602])).
% 55.14/35.31 tff(36604,plain,
% 55.14/35.31 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB169) | v130(constB169, 0) | (~v127(constB169, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB169, 0)) | v26(constB169) | v130(constB169, 0))),
% 55.14/35.31 inference(transitivity,[status(thm)],[36603, 36601])).
% 55.14/35.31 tff(36605,plain,
% 55.14/35.31 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB169) | v130(constB169, 0) | (~v127(constB169, 0)))),
% 55.14/35.31 inference(quant_inst,[status(thm)],[])).
% 55.14/35.31 tff(36606,plain,
% 55.14/35.31 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB169, 0)) | v26(constB169) | v130(constB169, 0)),
% 55.14/35.31 inference(modus_ponens,[status(thm)],[36605, 36604])).
% 55.14/35.31 tff(36607,plain,
% 55.14/35.31 ((~v127(constB169, 0)) | v130(constB169, 0)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36606, 1671, 31696])).
% 55.14/35.31 tff(36608,plain,
% 55.14/35.31 (v130(constB169, 0)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36607, 36600])).
% 55.14/35.31 tff(36609,plain,
% 55.14/35.31 (((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB169)) | (~v130(constB169, 0)))) <=> ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB169)) | (~v130(constB169, 0)))),
% 55.14/35.31 inference(rewrite,[status(thm)],[])).
% 55.14/35.31 tff(36610,plain,
% 55.14/35.31 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v124(constB169)) | (~v130(constB169, 0)))),
% 55.14/35.31 inference(quant_inst,[status(thm)],[])).
% 55.14/35.31 tff(36611,plain,
% 55.14/35.31 ((~![VarCurr: state_type] : ((~v124(VarCurr)) | (~v130(VarCurr, 0)))) | (~v124(constB169)) | (~v130(constB169, 0))),
% 55.14/35.31 inference(modus_ponens,[status(thm)],[36610, 36609])).
% 55.14/35.31 tff(36612,plain,
% 55.14/35.31 (~v124(constB169)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36611, 3274, 36608])).
% 55.14/35.31 tff(36613,plain,
% 55.14/35.31 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB169)) | (~v130(constB169, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB169)) | (~v130(constB169, 1)))),
% 55.14/35.31 inference(rewrite,[status(thm)],[])).
% 55.14/35.31 tff(36614,plain,
% 55.14/35.31 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB169)) | (~v130(constB169, 1)))),
% 55.14/35.31 inference(quant_inst,[status(thm)],[])).
% 55.14/35.31 tff(36615,plain,
% 55.14/35.31 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB169)) | (~v130(constB169, 1))),
% 55.14/35.31 inference(modus_ponens,[status(thm)],[36614, 36613])).
% 55.14/35.31 tff(36616,plain,
% 55.14/35.31 (~v122(constB169)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36615, 2366, 36583])).
% 55.14/35.31 tff(36617,plain,
% 55.14/35.31 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB169)) | (~v130(constB169, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB169)) | (~v130(constB169, 2)))),
% 55.14/35.31 inference(rewrite,[status(thm)],[])).
% 55.14/35.31 tff(36618,plain,
% 55.14/35.31 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB169)) | (~v130(constB169, 2)))),
% 55.14/35.31 inference(quant_inst,[status(thm)],[])).
% 55.14/35.31 tff(36619,plain,
% 55.14/35.31 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB169)) | (~v130(constB169, 2))),
% 55.14/35.31 inference(modus_ponens,[status(thm)],[36618, 36617])).
% 55.14/35.31 tff(36620,plain,
% 55.14/35.31 (~v121(constB169)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36619, 1821, 36575])).
% 55.14/35.31 tff(36621,assumption,(v123(constB169)), introduced(assumption)).
% 55.14/35.31 tff(36622,plain,
% 55.14/35.31 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB169)) | v115(constB169))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB169)) | v115(constB169))),
% 55.14/35.31 inference(rewrite,[status(thm)],[])).
% 55.14/35.31 tff(36623,plain,
% 55.14/35.31 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB169)) | v115(constB169))),
% 55.14/35.31 inference(quant_inst,[status(thm)],[])).
% 55.14/35.31 tff(36624,plain,
% 55.14/35.31 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB169)) | v115(constB169)),
% 55.14/35.31 inference(modus_ponens,[status(thm)],[36623, 36622])).
% 55.14/35.31 tff(36625,plain,
% 55.14/35.31 (v115(constB169)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36624, 2291, 36621])).
% 55.14/35.31 tff(36626,plain,
% 55.14/35.31 (v114(constB169)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[35128, 1035, 36625])).
% 55.14/35.31 tff(36627,plain,
% 55.14/35.31 (v113(constB169)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[35121, 1049, 36626])).
% 55.14/35.31 tff(36628,plain,
% 55.14/35.31 (v112(constB169)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31700, 36627])).
% 55.14/35.31 tff(36629,plain,
% 55.14/35.31 (v108(constB169)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31707, 1075, 36628])).
% 55.14/35.31 tff(36630,plain,
% 55.14/35.31 (v110(constB170)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31718, 36629])).
% 55.14/35.31 tff(36631,plain,
% 55.14/35.31 (v100(constB170)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31741, 36630])).
% 55.14/35.31 tff(36632,plain,
% 55.14/35.31 (v130(constB169, 2)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[35208, 2525, 36621])).
% 55.14/35.31 tff(36633,plain,
% 55.14/35.31 (v127(constB169, 2)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[35204, 36632])).
% 55.14/35.31 tff(36634,plain,
% 55.14/35.31 (v129(constB170, 2)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[35199, 36633])).
% 55.14/35.31 tff(36635,plain,
% 55.14/35.31 (v90(constB170, 2) | (~v100(constB170))),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[35193, 2324, 36634])).
% 55.14/35.31 tff(36636,plain,
% 55.14/35.31 (v90(constB170, 2)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36635, 36631])).
% 55.14/35.31 tff(36637,plain,
% 55.14/35.31 (v90(constB171, 2)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[35079, 36636])).
% 55.14/35.31 tff(36638,plain,
% 55.14/35.31 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB169)) | (~v130(constB169, 1)))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB169)) | (~v130(constB169, 1)))),
% 55.14/35.31 inference(rewrite,[status(thm)],[])).
% 55.14/35.31 tff(36639,plain,
% 55.14/35.31 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v123(constB169)) | (~v130(constB169, 1)))),
% 55.14/35.31 inference(quant_inst,[status(thm)],[])).
% 55.14/35.31 tff(36640,plain,
% 55.14/35.31 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | (~v130(VarCurr, 1)))) | (~v123(constB169)) | (~v130(constB169, 1))),
% 55.14/35.31 inference(modus_ponens,[status(thm)],[36639, 36638])).
% 55.14/35.31 tff(36641,plain,
% 55.14/35.31 (~v130(constB169, 1)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36640, 2581, 36621])).
% 55.14/35.31 tff(36642,plain,
% 55.14/35.31 (~v127(constB169, 1)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31830, 36641])).
% 55.14/35.31 tff(36643,plain,
% 55.14/35.31 (~v129(constB170, 1)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31835, 36642])).
% 55.14/35.31 tff(36644,plain,
% 55.14/35.31 ((~v90(constB170, 1)) | (~v100(constB170))),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31842, 1309, 36643])).
% 55.14/35.31 tff(36645,plain,
% 55.14/35.31 (~v90(constB170, 1)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36644, 36631])).
% 55.14/35.31 tff(36646,plain,
% 55.14/35.31 (~v90(constB171, 1)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31852, 36645])).
% 55.14/35.31 tff(36647,plain,
% 55.14/35.31 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB169)) | v130(constB169, 0))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB169)) | v130(constB169, 0))),
% 55.14/35.31 inference(rewrite,[status(thm)],[])).
% 55.14/35.31 tff(36648,plain,
% 55.14/35.31 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | ((~v123(constB169)) | v130(constB169, 0))),
% 55.14/35.31 inference(quant_inst,[status(thm)],[])).
% 55.14/35.31 tff(36649,plain,
% 55.14/35.31 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 0))) | (~v123(constB169)) | v130(constB169, 0)),
% 55.14/35.31 inference(modus_ponens,[status(thm)],[36648, 36647])).
% 55.14/35.31 tff(36650,plain,
% 55.14/35.31 (v130(constB169, 0)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36649, 2622, 36621])).
% 55.14/35.31 tff(36651,plain,
% 55.14/35.31 (v127(constB169, 0)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31865, 36650])).
% 55.14/35.31 tff(36652,plain,
% 55.14/35.31 (v129(constB170, 0)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31870, 36651])).
% 55.14/35.31 tff(36653,plain,
% 55.14/35.31 (v90(constB170, 0) | (~v100(constB170))),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31877, 1377, 36652])).
% 55.14/35.31 tff(36654,plain,
% 55.14/35.31 (v90(constB170, 0)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36653, 36631])).
% 55.14/35.31 tff(36655,plain,
% 55.14/35.31 (v90(constB171, 0)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31887, 36654])).
% 55.14/35.31 tff(36656,plain,
% 55.14/35.31 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB171, 0)) | v90(constB171, 1) | (~v90(constB171, 2)) | v124(constB171))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB171, 0)) | v90(constB171, 1) | (~v90(constB171, 2)) | v124(constB171))),
% 55.14/35.31 inference(rewrite,[status(thm)],[])).
% 55.14/35.31 tff(36657,plain,
% 55.14/35.31 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | ((~v90(constB171, 0)) | v90(constB171, 1) | (~v90(constB171, 2)) | v124(constB171))),
% 55.14/35.31 inference(quant_inst,[status(thm)],[])).
% 55.14/35.31 tff(36658,plain,
% 55.14/35.31 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v124(VarCurr))) | (~v90(constB171, 0)) | v90(constB171, 1) | (~v90(constB171, 2)) | v124(constB171)),
% 55.14/35.31 inference(modus_ponens,[status(thm)],[36657, 36656])).
% 55.14/35.31 tff(36659,plain,
% 55.14/35.31 ($false),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36658, 2663, 36655, 36646, 36637, 35736])).
% 55.14/35.31 tff(36660,plain,((~v123(constB169)) | v124(constB171)), inference(lemma,lemma(discharge,[]))).
% 55.14/35.31 tff(36661,plain,
% 55.14/35.31 (~v123(constB169)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36660, 35736])).
% 55.14/35.31 tff(36662,plain,
% 55.14/35.31 (v119(constB169) | v120(constB169) | v121(constB169) | v122(constB169) | v124(constB169) | (~v130(constB169, 1))),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[31822, 3309, 36661])).
% 55.14/35.31 tff(36663,plain,
% 55.14/35.31 ($false),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36662, 36620, 36616, 36583, 36612, 36587, 36579])).
% 55.14/35.31 tff(36664,plain,(v113(constB173) | v90(constB127, 2) | v124(constB171) | v124(constB173)), inference(lemma,lemma(discharge,[]))).
% 55.14/35.31 tff(36665,plain,
% 55.14/35.31 (v113(constB173)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36664, 35422, 21625, 35417])).
% 55.14/35.31 tff(36666,assumption,(v26(constB173)), introduced(assumption)).
% 55.14/35.31 tff(36667,plain,
% 55.14/35.31 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB173))),
% 55.14/35.31 inference(quant_inst,[status(thm)],[])).
% 55.14/35.31 tff(36668,plain,
% 55.14/35.31 ($false),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36667, 828, 36666])).
% 55.14/35.31 tff(36669,plain,(~v26(constB173)), inference(lemma,lemma(discharge,[]))).
% 55.14/35.31 tff(36670,plain,
% 55.14/35.31 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB173) | v112(constB173) | (~v113(constB173)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB173) | v112(constB173) | (~v113(constB173)))),
% 55.14/35.31 inference(rewrite,[status(thm)],[])).
% 55.14/35.31 tff(36671,plain,
% 55.14/35.31 ((v26(constB173) | (~v113(constB173)) | v112(constB173)) <=> (v26(constB173) | v112(constB173) | (~v113(constB173)))),
% 55.14/35.31 inference(rewrite,[status(thm)],[])).
% 55.14/35.31 tff(36672,plain,
% 55.14/35.31 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB173) | (~v113(constB173)) | v112(constB173))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB173) | v112(constB173) | (~v113(constB173))))),
% 55.14/35.31 inference(monotonicity,[status(thm)],[36671])).
% 55.14/35.31 tff(36673,plain,
% 55.14/35.31 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB173) | (~v113(constB173)) | v112(constB173))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB173) | v112(constB173) | (~v113(constB173)))),
% 55.14/35.31 inference(transitivity,[status(thm)],[36672, 36670])).
% 55.14/35.31 tff(36674,plain,
% 55.14/35.31 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB173) | (~v113(constB173)) | v112(constB173))),
% 55.14/35.31 inference(quant_inst,[status(thm)],[])).
% 55.14/35.31 tff(36675,plain,
% 55.14/35.31 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB173) | v112(constB173) | (~v113(constB173))),
% 55.14/35.31 inference(modus_ponens,[status(thm)],[36674, 36673])).
% 55.14/35.31 tff(36676,plain,
% 55.14/35.31 (v112(constB173) | (~v113(constB173))),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36675, 1063, 36669])).
% 55.14/35.31 tff(36677,plain,
% 55.14/35.31 (v112(constB173)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36676, 36665])).
% 55.14/35.31 tff(36678,plain,
% 55.14/35.31 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB173) | (~v112(constB173)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB173) | (~v112(constB173)))),
% 55.14/35.31 inference(rewrite,[status(thm)],[])).
% 55.14/35.31 tff(36679,plain,
% 55.14/35.31 (((~v112(constB173)) | v108(constB173)) <=> (v108(constB173) | (~v112(constB173)))),
% 55.14/35.31 inference(rewrite,[status(thm)],[])).
% 55.14/35.31 tff(36680,plain,
% 55.14/35.31 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB173)) | v108(constB173))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB173) | (~v112(constB173))))),
% 55.14/35.31 inference(monotonicity,[status(thm)],[36679])).
% 55.14/35.31 tff(36681,plain,
% 55.14/35.31 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB173)) | v108(constB173))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB173) | (~v112(constB173)))),
% 55.14/35.31 inference(transitivity,[status(thm)],[36680, 36678])).
% 55.14/35.31 tff(36682,plain,
% 55.14/35.31 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB173)) | v108(constB173))),
% 55.14/35.31 inference(quant_inst,[status(thm)],[])).
% 55.14/35.31 tff(36683,plain,
% 55.14/35.31 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB173) | (~v112(constB173))),
% 55.14/35.31 inference(modus_ponens,[status(thm)],[36682, 36681])).
% 55.14/35.31 tff(36684,plain,
% 55.14/35.31 (v108(constB173)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36683, 1075, 36677])).
% 55.14/35.31 tff(36685,plain,
% 55.14/35.31 (nextState(constB173, constB174) <=> nextState(constB173, constB174)),
% 55.14/35.31 inference(rewrite,[status(thm)],[])).
% 55.14/35.31 tff(36686,axiom,(nextState(constB173, constB174)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_173_1')).
% 55.14/35.31 tff(36687,plain,
% 55.14/35.31 (nextState(constB173, constB174)),
% 55.14/35.31 inference(modus_ponens,[status(thm)],[36686, 36685])).
% 55.14/35.31 tff(36688,plain,
% 55.14/35.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173)))),
% 55.14/35.31 inference(rewrite,[status(thm)],[])).
% 55.14/35.31 tff(36689,plain,
% 55.14/35.31 (((~nextState(constB173, constB174)) | (~v108(constB173)) | v110(constB174)) <=> ((~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173)))),
% 55.14/35.31 inference(rewrite,[status(thm)],[])).
% 55.14/35.31 tff(36690,plain,
% 55.14/35.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB173, constB174)) | (~v108(constB173)) | v110(constB174))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173))))),
% 55.14/35.31 inference(monotonicity,[status(thm)],[36689])).
% 55.14/35.31 tff(36691,plain,
% 55.14/35.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB173, constB174)) | (~v108(constB173)) | v110(constB174))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173)))),
% 55.14/35.31 inference(transitivity,[status(thm)],[36690, 36688])).
% 55.14/35.31 tff(36692,plain,
% 55.14/35.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB173, constB174)) | (~v108(constB173)) | v110(constB174))),
% 55.14/35.31 inference(quant_inst,[status(thm)],[])).
% 55.14/35.31 tff(36693,plain,
% 55.14/35.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB173, constB174)) | v110(constB174) | (~v108(constB173))),
% 55.14/35.31 inference(modus_ponens,[status(thm)],[36692, 36691])).
% 55.14/35.31 tff(36694,plain,
% 55.14/35.31 (v110(constB174) | (~v108(constB173))),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36693, 1095, 36687])).
% 55.14/35.31 tff(36695,plain,
% 55.14/35.31 (v110(constB174)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36694, 36684])).
% 55.14/35.31 tff(36696,plain,
% 55.14/35.31 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB173) | (~nextState(constB173, constB174)) | (~v104(constB174)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB173) | (~nextState(constB173, constB174)) | (~v104(constB174)))),
% 55.14/35.31 inference(rewrite,[status(thm)],[])).
% 55.14/35.31 tff(36697,plain,
% 55.14/35.31 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB173) | (~nextState(constB173, constB174)) | (~v104(constB174)))),
% 55.14/35.31 inference(quant_inst,[status(thm)],[])).
% 55.14/35.31 tff(36698,plain,
% 55.14/35.31 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB173) | (~nextState(constB173, constB174)) | (~v104(constB174))),
% 55.14/35.31 inference(modus_ponens,[status(thm)],[36697, 36696])).
% 55.14/35.31 tff(36699,plain,
% 55.14/35.31 (~v104(constB174)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36698, 1113, 36687, 35321])).
% 55.14/35.31 tff(36700,plain,
% 55.14/35.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB173, constB174)) | v102(constB174) | v104(constB174))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB173, constB174)) | v102(constB174) | v104(constB174))),
% 55.14/35.31 inference(rewrite,[status(thm)],[])).
% 55.14/35.31 tff(36701,plain,
% 55.14/35.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB173, constB174)) | v102(constB174) | v104(constB174))),
% 55.14/35.31 inference(quant_inst,[status(thm)],[])).
% 55.14/35.31 tff(36702,plain,
% 55.14/35.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB173, constB174)) | v102(constB174) | v104(constB174)),
% 55.14/35.31 inference(modus_ponens,[status(thm)],[36701, 36700])).
% 55.14/35.31 tff(36703,plain,
% 55.14/35.31 (v102(constB174) | v104(constB174)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36702, 1127, 36687])).
% 55.14/35.31 tff(36704,plain,
% 55.14/35.31 (v102(constB174)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36703, 36699])).
% 55.14/35.31 tff(36705,plain,
% 55.14/35.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB173, constB174)) | v101(constB174) | (~v102(constB174)) | (~v1(constB174)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB173, constB174)) | v101(constB174) | (~v102(constB174)) | (~v1(constB174)))),
% 55.14/35.31 inference(rewrite,[status(thm)],[])).
% 55.14/35.31 tff(36706,plain,
% 55.14/35.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB173, constB174)) | v101(constB174) | (~v102(constB174)) | (~v1(constB174)))),
% 55.14/35.31 inference(quant_inst,[status(thm)],[])).
% 55.14/35.31 tff(36707,plain,
% 55.14/35.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB173, constB174)) | v101(constB174) | (~v102(constB174)) | (~v1(constB174))),
% 55.14/35.31 inference(modus_ponens,[status(thm)],[36706, 36705])).
% 55.14/35.31 tff(36708,plain,
% 55.14/35.31 (v101(constB174) | (~v102(constB174))),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36707, 1145, 36687, 673])).
% 55.14/35.31 tff(36709,plain,
% 55.14/35.31 (v101(constB174)),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36708, 36704])).
% 55.14/35.31 tff(36710,plain,
% 55.14/35.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174)))),
% 55.14/35.31 inference(rewrite,[status(thm)],[])).
% 55.14/35.31 tff(36711,plain,
% 55.14/35.31 (((~nextState(constB173, constB174)) | (~v101(constB174)) | (~v110(constB174)) | v100(constB174)) <=> ((~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174)))),
% 55.14/35.31 inference(rewrite,[status(thm)],[])).
% 55.14/35.31 tff(36712,plain,
% 55.14/35.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB173, constB174)) | (~v101(constB174)) | (~v110(constB174)) | v100(constB174))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174))))),
% 55.14/35.31 inference(monotonicity,[status(thm)],[36711])).
% 55.14/35.31 tff(36713,plain,
% 55.14/35.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB173, constB174)) | (~v101(constB174)) | (~v110(constB174)) | v100(constB174))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174)))),
% 55.14/35.31 inference(transitivity,[status(thm)],[36712, 36710])).
% 55.14/35.31 tff(36714,plain,
% 55.14/35.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB173, constB174)) | (~v101(constB174)) | (~v110(constB174)) | v100(constB174))),
% 55.14/35.31 inference(quant_inst,[status(thm)],[])).
% 55.14/35.31 tff(36715,plain,
% 55.14/35.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB173, constB174)) | v100(constB174) | (~v101(constB174)) | (~v110(constB174))),
% 55.14/35.31 inference(modus_ponens,[status(thm)],[36714, 36713])).
% 55.14/35.31 tff(36716,plain,
% 55.14/35.31 (v100(constB174) | (~v101(constB174)) | (~v110(constB174))),
% 55.14/35.31 inference(unit_resolution,[status(thm)],[36715, 1160, 36687])).
% 55.14/35.32 tff(36717,plain,
% 55.14/35.32 (v100(constB174) | (~v110(constB174))),
% 55.14/35.32 inference(unit_resolution,[status(thm)],[36716, 36709])).
% 55.14/35.32 tff(36718,plain,
% 55.14/35.32 (v100(constB174)),
% 55.14/35.32 inference(unit_resolution,[status(thm)],[36717, 36695])).
% 55.14/35.32 tff(36719,assumption,(v121(constB173)), introduced(assumption)).
% 55.14/35.32 tff(36720,plain,
% 55.14/35.32 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB173)) | (~v130(constB173, 2)))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB173)) | (~v130(constB173, 2)))),
% 55.14/35.32 inference(rewrite,[status(thm)],[])).
% 55.14/35.32 tff(36721,plain,
% 55.14/35.32 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | ((~v121(constB173)) | (~v130(constB173, 2)))),
% 55.14/35.32 inference(quant_inst,[status(thm)],[])).
% 55.14/35.32 tff(36722,plain,
% 55.14/35.32 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | (~v130(VarCurr, 2)))) | (~v121(constB173)) | (~v130(constB173, 2))),
% 55.14/35.32 inference(modus_ponens,[status(thm)],[36721, 36720])).
% 55.14/35.32 tff(36723,plain,
% 55.14/35.32 (~v130(constB173, 2)),
% 55.14/35.32 inference(unit_resolution,[status(thm)],[36722, 1821, 36719])).
% 55.14/35.32 tff(36724,plain,
% 55.14/35.32 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB173, 2)) | v26(constB173) | v130(constB173, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB173, 2)) | v26(constB173) | v130(constB173, 2))),
% 55.14/35.32 inference(rewrite,[status(thm)],[])).
% 55.14/35.32 tff(36725,plain,
% 55.14/35.32 ((v26(constB173) | v130(constB173, 2) | (~v127(constB173, 2))) <=> ((~v127(constB173, 2)) | v26(constB173) | v130(constB173, 2))),
% 55.14/35.32 inference(rewrite,[status(thm)],[])).
% 55.14/35.32 tff(36726,plain,
% 55.14/35.32 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB173) | v130(constB173, 2) | (~v127(constB173, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | ((~v127(constB173, 2)) | v26(constB173) | v130(constB173, 2)))),
% 55.14/35.32 inference(monotonicity,[status(thm)],[36725])).
% 55.14/35.32 tff(36727,plain,
% 55.14/35.32 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB173) | v130(constB173, 2) | (~v127(constB173, 2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB173, 2)) | v26(constB173) | v130(constB173, 2))),
% 55.14/35.32 inference(transitivity,[status(thm)],[36726, 36724])).
% 55.14/35.32 tff(36728,plain,
% 55.14/35.32 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (v26(constB173) | v130(constB173, 2) | (~v127(constB173, 2)))),
% 55.14/35.32 inference(quant_inst,[status(thm)],[])).
% 55.14/35.32 tff(36729,plain,
% 55.14/35.32 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 2) | (~v127(VarCurr, 2)))) | (~v127(constB173, 2)) | v26(constB173) | v130(constB173, 2)),
% 55.14/35.32 inference(modus_ponens,[status(thm)],[36728, 36727])).
% 55.14/35.32 tff(36730,plain,
% 55.14/35.32 ((~v127(constB173, 2)) | v130(constB173, 2)),
% 55.14/35.32 inference(unit_resolution,[status(thm)],[36729, 1190, 36669])).
% 55.14/35.32 tff(36731,plain,
% 55.14/35.32 (~v127(constB173, 2)),
% 55.14/35.32 inference(unit_resolution,[status(thm)],[36730, 36723])).
% 55.14/35.32 tff(36732,plain,
% 55.14/35.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB173, constB174)) | v127(constB173, 2) | (~v129(constB174, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB173, constB174)) | v127(constB173, 2) | (~v129(constB174, 2)))),
% 55.14/35.32 inference(rewrite,[status(thm)],[])).
% 55.14/35.32 tff(36733,plain,
% 55.14/35.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | ((~nextState(constB173, constB174)) | v127(constB173, 2) | (~v129(constB174, 2)))),
% 55.14/35.32 inference(quant_inst,[status(thm)],[])).
% 55.14/35.32 tff(36734,plain,
% 55.14/35.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 2) | (~v129(VarNext, 2)))) | (~nextState(constB173, constB174)) | v127(constB173, 2) | (~v129(constB174, 2))),
% 55.14/35.32 inference(modus_ponens,[status(thm)],[36733, 36732])).
% 55.14/35.32 tff(36735,plain,
% 55.14/35.32 (v127(constB173, 2) | (~v129(constB174, 2))),
% 55.14/35.32 inference(unit_resolution,[status(thm)],[36734, 1208, 36687])).
% 55.14/35.32 tff(36736,plain,
% 55.14/35.32 (~v129(constB174, 2)),
% 55.14/35.32 inference(unit_resolution,[status(thm)],[36735, 36731])).
% 55.14/35.32 tff(36737,assumption,(v100(constB174)), introduced(assumption)).
% 55.14/35.32 tff(36738,plain,
% 55.14/35.32 (((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB174, 2)) | v129(constB174, 2) | (~v100(constB174)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB174, 2)) | v129(constB174, 2) | (~v100(constB174)))),
% 55.14/35.32 inference(rewrite,[status(thm)],[])).
% 55.14/35.32 tff(36739,plain,
% 55.14/35.32 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | ((~v90(constB174, 2)) | v129(constB174, 2) | (~v100(constB174)))),
% 55.14/35.32 inference(quant_inst,[status(thm)],[])).
% 55.14/35.32 tff(36740,plain,
% 55.14/35.32 ((~![VarNext: state_type] : ((~v90(VarNext, 2)) | v129(VarNext, 2) | (~v100(VarNext)))) | (~v90(constB174, 2)) | v129(constB174, 2) | (~v100(constB174))),
% 55.14/35.32 inference(modus_ponens,[status(thm)],[36739, 36738])).
% 55.14/35.32 tff(36741,plain,
% 55.14/35.32 ((~v90(constB174, 2)) | v129(constB174, 2)),
% 55.14/35.32 inference(unit_resolution,[status(thm)],[36740, 1223, 36737])).
% 55.14/35.32 tff(36742,plain,
% 55.14/35.32 (~v90(constB174, 2)),
% 55.14/35.32 inference(unit_resolution,[status(thm)],[36741, 36736])).
% 55.14/35.32 tff(36743,plain,
% 55.14/35.32 ((~v1(constB175)) <=> (~v1(constB175))),
% 55.14/35.32 inference(rewrite,[status(thm)],[])).
% 55.14/35.32 tff(36744,axiom,(~v1(constB175)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_175_1_1')).
% 55.14/35.32 tff(36745,plain,
% 55.14/35.32 (~v1(constB175)),
% 55.14/35.32 inference(modus_ponens,[status(thm)],[36744, 36743])).
% 55.14/35.32 tff(36746,plain,
% 55.14/35.32 (nextState(constB174, constB175) <=> nextState(constB174, constB175)),
% 55.14/35.32 inference(rewrite,[status(thm)],[])).
% 55.14/35.32 tff(36747,axiom,(nextState(constB174, constB175)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_174_1')).
% 55.14/35.32 tff(36748,plain,
% 55.14/35.32 (nextState(constB174, constB175)),
% 55.14/35.32 inference(modus_ponens,[status(thm)],[36747, 36746])).
% 55.14/35.32 tff(36749,plain,
% 55.14/35.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175)))),
% 55.14/35.32 inference(rewrite,[status(thm)],[])).
% 55.14/35.32 tff(36750,plain,
% 55.14/35.32 (((~nextState(constB174, constB175)) | (~v101(constB175)) | v1(constB175)) <=> (v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175)))),
% 55.14/35.32 inference(rewrite,[status(thm)],[])).
% 55.14/35.32 tff(36751,plain,
% 55.14/35.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB174, constB175)) | (~v101(constB175)) | v1(constB175))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175))))),
% 55.14/35.32 inference(monotonicity,[status(thm)],[36750])).
% 55.14/35.32 tff(36752,plain,
% 55.14/35.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB174, constB175)) | (~v101(constB175)) | v1(constB175))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175)))),
% 55.14/35.32 inference(transitivity,[status(thm)],[36751, 36749])).
% 55.14/35.32 tff(36753,plain,
% 55.14/35.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB174, constB175)) | (~v101(constB175)) | v1(constB175))),
% 55.14/35.32 inference(quant_inst,[status(thm)],[])).
% 55.14/35.32 tff(36754,plain,
% 55.14/35.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB175) | (~nextState(constB174, constB175)) | (~v101(constB175))),
% 55.14/35.32 inference(modus_ponens,[status(thm)],[36753, 36752])).
% 55.14/35.32 tff(36755,plain,
% 55.14/35.32 (~v101(constB175)),
% 55.14/35.32 inference(unit_resolution,[status(thm)],[36754, 873, 36748, 36745])).
% 55.14/35.32 tff(36756,plain,
% 55.14/35.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB174, constB175)) | v101(constB175) | (~v100(constB175)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB174, constB175)) | v101(constB175) | (~v100(constB175)))),
% 55.14/35.32 inference(rewrite,[status(thm)],[])).
% 55.14/35.32 tff(36757,plain,
% 55.14/35.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB174, constB175)) | v101(constB175) | (~v100(constB175)))),
% 55.14/35.32 inference(quant_inst,[status(thm)],[])).
% 55.14/35.32 tff(36758,plain,
% 55.14/35.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB174, constB175)) | v101(constB175) | (~v100(constB175))),
% 55.14/35.32 inference(modus_ponens,[status(thm)],[36757, 36756])).
% 55.14/35.32 tff(36759,plain,
% 55.14/35.32 (v101(constB175) | (~v100(constB175))),
% 55.14/35.32 inference(unit_resolution,[status(thm)],[36758, 890, 36748])).
% 55.14/35.32 tff(36760,plain,
% 55.14/35.32 (~v100(constB175)),
% 55.14/35.32 inference(unit_resolution,[status(thm)],[36759, 36755])).
% 55.14/35.32 tff(36761,plain,
% 55.14/35.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB174, 2) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB174, 2) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, 2)))),
% 55.14/35.32 inference(rewrite,[status(thm)],[])).
% 55.14/35.32 tff(36762,plain,
% 55.14/35.32 (((~nextState(constB174, constB175)) | v90(constB174, 2) | v100(constB175) | (~v90(constB175, 2))) <=> (v90(constB174, 2) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, 2)))),
% 55.14/35.32 inference(rewrite,[status(thm)],[])).
% 55.14/35.32 tff(36763,plain,
% 55.14/35.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB174, constB175)) | v90(constB174, 2) | v100(constB175) | (~v90(constB175, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | (v90(constB174, 2) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, 2))))),
% 55.14/35.32 inference(monotonicity,[status(thm)],[36762])).
% 55.14/35.32 tff(36764,plain,
% 55.14/35.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB174, constB175)) | v90(constB174, 2) | v100(constB175) | (~v90(constB175, 2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB174, 2) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, 2)))),
% 55.14/35.32 inference(transitivity,[status(thm)],[36763, 36761])).
% 55.14/35.32 tff(36765,plain,
% 55.14/35.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | ((~nextState(constB174, constB175)) | v90(constB174, 2) | v100(constB175) | (~v90(constB175, 2)))),
% 55.14/35.32 inference(quant_inst,[status(thm)],[])).
% 55.14/35.32 tff(36766,plain,
% 55.14/35.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 2) | v100(VarNext) | (~v90(VarNext, 2)))) | v90(constB174, 2) | (~nextState(constB174, constB175)) | v100(constB175) | (~v90(constB175, 2))),
% 55.14/35.32 inference(modus_ponens,[status(thm)],[36765, 36764])).
% 55.14/35.32 tff(36767,plain,
% 55.14/35.32 (v90(constB174, 2) | v100(constB175) | (~v90(constB175, 2))),
% 55.14/35.32 inference(unit_resolution,[status(thm)],[36766, 905, 36748])).
% 55.14/35.32 tff(36768,plain,
% 55.14/35.32 (v90(constB174, 2) | (~v90(constB175, 2))),
% 55.14/35.32 inference(unit_resolution,[status(thm)],[36767, 36760])).
% 55.14/35.32 tff(36769,plain,
% 55.14/35.32 (~v90(constB175, 2)),
% 55.14/35.32 inference(unit_resolution,[status(thm)],[36768, 36742])).
% 55.14/35.32 tff(36770,plain,
% 55.14/35.32 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB173)) | v130(constB173, 0))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB173)) | v130(constB173, 0))),
% 55.14/35.32 inference(rewrite,[status(thm)],[])).
% 55.14/35.32 tff(36771,plain,
% 55.14/35.32 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | ((~v121(constB173)) | v130(constB173, 0))),
% 55.14/35.32 inference(quant_inst,[status(thm)],[])).
% 55.14/35.32 tff(36772,plain,
% 55.14/35.32 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 0))) | (~v121(constB173)) | v130(constB173, 0)),
% 55.14/35.32 inference(modus_ponens,[status(thm)],[36771, 36770])).
% 55.14/35.32 tff(36773,plain,
% 55.14/35.32 (v130(constB173, 0)),
% 55.14/35.32 inference(unit_resolution,[status(thm)],[36772, 1915, 36719])).
% 55.14/35.32 tff(36774,plain,
% 55.14/35.32 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB173) | (~v130(constB173, 0)) | v127(constB173, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB173) | (~v130(constB173, 0)) | v127(constB173, 0))),
% 55.14/35.32 inference(rewrite,[status(thm)],[])).
% 55.14/35.32 tff(36775,plain,
% 55.14/35.32 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | (v26(constB173) | (~v130(constB173, 0)) | v127(constB173, 0))),
% 55.14/35.32 inference(quant_inst,[status(thm)],[])).
% 55.14/35.32 tff(36776,plain,
% 55.14/35.32 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 0)) | v127(VarCurr, 0))) | v26(constB173) | (~v130(constB173, 0)) | v127(constB173, 0)),
% 55.14/35.32 inference(modus_ponens,[status(thm)],[36775, 36774])).
% 55.14/35.32 tff(36777,plain,
% 55.14/35.32 ((~v130(constB173, 0)) | v127(constB173, 0)),
% 55.14/35.32 inference(unit_resolution,[status(thm)],[36776, 1347, 36669])).
% 55.14/35.32 tff(36778,plain,
% 55.14/35.32 (v127(constB173, 0)),
% 55.14/35.32 inference(unit_resolution,[status(thm)],[36777, 36773])).
% 55.14/35.32 tff(36779,plain,
% 55.14/35.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB173, constB174)) | (~v127(constB173, 0)) | v129(constB174, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB173, constB174)) | (~v127(constB173, 0)) | v129(constB174, 0))),
% 55.14/35.32 inference(rewrite,[status(thm)],[])).
% 55.14/35.32 tff(36780,plain,
% 55.14/35.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | ((~nextState(constB173, constB174)) | (~v127(constB173, 0)) | v129(constB174, 0))),
% 55.14/35.32 inference(quant_inst,[status(thm)],[])).
% 55.14/35.32 tff(36781,plain,
% 55.14/35.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 0)) | v129(VarNext, 0))) | (~nextState(constB173, constB174)) | (~v127(constB173, 0)) | v129(constB174, 0)),
% 55.14/35.32 inference(modus_ponens,[status(thm)],[36780, 36779])).
% 55.14/35.32 tff(36782,plain,
% 55.14/35.32 ((~v127(constB173, 0)) | v129(constB174, 0)),
% 55.14/35.32 inference(unit_resolution,[status(thm)],[36781, 1362, 36687])).
% 55.14/35.32 tff(36783,plain,
% 55.14/35.32 (v129(constB174, 0)),
% 55.14/35.32 inference(unit_resolution,[status(thm)],[36782, 36778])).
% 55.14/35.32 tff(36784,plain,
% 55.14/35.32 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB174, 0) | (~v129(constB174, 0)) | (~v100(constB174)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB174, 0) | (~v129(constB174, 0)) | (~v100(constB174)))),
% 55.14/35.32 inference(rewrite,[status(thm)],[])).
% 55.14/35.32 tff(36785,plain,
% 55.14/35.32 ((v90(constB174, 0) | (~v100(constB174)) | (~v129(constB174, 0))) <=> (v90(constB174, 0) | (~v129(constB174, 0)) | (~v100(constB174)))),
% 55.14/35.32 inference(rewrite,[status(thm)],[])).
% 55.14/35.32 tff(36786,plain,
% 55.14/35.32 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB174, 0) | (~v100(constB174)) | (~v129(constB174, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB174, 0) | (~v129(constB174, 0)) | (~v100(constB174))))),
% 55.14/35.32 inference(monotonicity,[status(thm)],[36785])).
% 55.14/35.32 tff(36787,plain,
% 55.14/35.32 (((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB174, 0) | (~v100(constB174)) | (~v129(constB174, 0)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB174, 0) | (~v129(constB174, 0)) | (~v100(constB174)))),
% 55.14/35.32 inference(transitivity,[status(thm)],[36786, 36784])).
% 55.14/35.32 tff(36788,plain,
% 55.14/35.32 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | (v90(constB174, 0) | (~v100(constB174)) | (~v129(constB174, 0)))),
% 55.14/35.32 inference(quant_inst,[status(thm)],[])).
% 55.14/35.32 tff(36789,plain,
% 55.14/35.32 ((~![VarNext: state_type] : (v90(VarNext, 0) | (~v100(VarNext)) | (~v129(VarNext, 0)))) | v90(constB174, 0) | (~v129(constB174, 0)) | (~v100(constB174))),
% 55.14/35.32 inference(modus_ponens,[status(thm)],[36788, 36787])).
% 55.14/35.32 tff(36790,plain,
% 55.14/35.32 (v90(constB174, 0) | (~v129(constB174, 0))),
% 55.14/35.32 inference(unit_resolution,[status(thm)],[36789, 1377, 36737])).
% 55.14/35.32 tff(36791,plain,
% 55.14/35.32 (v90(constB174, 0)),
% 55.14/35.32 inference(unit_resolution,[status(thm)],[36790, 36783])).
% 55.14/35.32 tff(36792,plain,
% 55.14/35.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB174, 0)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB174, 0)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, 0))),
% 55.14/35.32 inference(rewrite,[status(thm)],[])).
% 55.14/35.32 tff(36793,plain,
% 55.14/35.32 (((~nextState(constB174, constB175)) | (~v90(constB174, 0)) | v100(constB175) | v90(constB175, 0)) <=> ((~v90(constB174, 0)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, 0))),
% 55.14/35.32 inference(rewrite,[status(thm)],[])).
% 55.14/35.32 tff(36794,plain,
% 55.14/35.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB174, constB175)) | (~v90(constB174, 0)) | v100(constB175) | v90(constB175, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~v90(constB174, 0)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, 0)))),
% 55.14/35.32 inference(monotonicity,[status(thm)],[36793])).
% 55.14/35.32 tff(36795,plain,
% 55.14/35.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB174, constB175)) | (~v90(constB174, 0)) | v100(constB175) | v90(constB175, 0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB174, 0)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, 0))),
% 55.14/35.32 inference(transitivity,[status(thm)],[36794, 36792])).
% 55.14/35.32 tff(36796,plain,
% 55.14/35.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | ((~nextState(constB174, constB175)) | (~v90(constB174, 0)) | v100(constB175) | v90(constB175, 0))),
% 55.14/35.32 inference(quant_inst,[status(thm)],[])).
% 55.14/35.32 tff(36797,plain,
% 55.14/35.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 0)) | v100(VarNext) | v90(VarNext, 0))) | (~v90(constB174, 0)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, 0)),
% 55.14/35.32 inference(modus_ponens,[status(thm)],[36796, 36795])).
% 55.14/35.32 tff(36798,plain,
% 55.14/35.32 ((~v90(constB174, 0)) | v100(constB175) | v90(constB175, 0)),
% 55.14/35.32 inference(unit_resolution,[status(thm)],[36797, 1395, 36748])).
% 55.14/35.32 tff(36799,plain,
% 55.14/35.32 ((~v90(constB174, 0)) | v90(constB175, 0)),
% 55.14/35.32 inference(unit_resolution,[status(thm)],[36798, 36760])).
% 55.14/35.32 tff(36800,plain,
% 55.14/35.32 (v90(constB175, 0)),
% 55.14/35.32 inference(unit_resolution,[status(thm)],[36799, 36791])).
% 55.14/35.32 tff(36801,plain,
% 55.14/35.32 (((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB173)) | v130(constB173, 1))) <=> ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB173)) | v130(constB173, 1))),
% 55.14/35.32 inference(rewrite,[status(thm)],[])).
% 55.14/35.32 tff(36802,plain,
% 55.14/35.32 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | ((~v121(constB173)) | v130(constB173, 1))),
% 55.14/35.32 inference(quant_inst,[status(thm)],[])).
% 55.14/35.32 tff(36803,plain,
% 55.14/35.32 ((~![VarCurr: state_type] : ((~v121(VarCurr)) | v130(VarCurr, 1))) | (~v121(constB173)) | v130(constB173, 1)),
% 55.14/35.32 inference(modus_ponens,[status(thm)],[36802, 36801])).
% 55.14/35.32 tff(36804,plain,
% 55.14/35.32 (v130(constB173, 1)),
% 55.14/35.32 inference(unit_resolution,[status(thm)],[36803, 1877, 36719])).
% 55.14/35.32 tff(36805,plain,
% 55.14/35.32 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB173) | (~v130(constB173, 1)) | v127(constB173, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB173) | (~v130(constB173, 1)) | v127(constB173, 1))),
% 55.14/35.32 inference(rewrite,[status(thm)],[])).
% 55.14/35.32 tff(36806,plain,
% 55.14/35.32 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | (v26(constB173) | (~v130(constB173, 1)) | v127(constB173, 1))),
% 55.14/35.32 inference(quant_inst,[status(thm)],[])).
% 55.14/35.32 tff(36807,plain,
% 55.14/35.32 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 1)) | v127(VarCurr, 1))) | v26(constB173) | (~v130(constB173, 1)) | v127(constB173, 1)),
% 55.14/35.32 inference(modus_ponens,[status(thm)],[36806, 36805])).
% 55.14/35.32 tff(36808,plain,
% 55.14/35.32 ((~v130(constB173, 1)) | v127(constB173, 1)),
% 55.14/35.32 inference(unit_resolution,[status(thm)],[36807, 1593, 36669])).
% 55.14/35.32 tff(36809,plain,
% 55.14/35.32 (v127(constB173, 1)),
% 55.14/35.32 inference(unit_resolution,[status(thm)],[36808, 36804])).
% 55.14/35.32 tff(36810,plain,
% 55.14/35.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB173, constB174)) | (~v127(constB173, 1)) | v129(constB174, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB173, constB174)) | (~v127(constB173, 1)) | v129(constB174, 1))),
% 55.14/35.32 inference(rewrite,[status(thm)],[])).
% 55.14/35.32 tff(36811,plain,
% 55.14/35.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | ((~nextState(constB173, constB174)) | (~v127(constB173, 1)) | v129(constB174, 1))),
% 55.14/35.32 inference(quant_inst,[status(thm)],[])).
% 55.14/35.32 tff(36812,plain,
% 55.14/35.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 1)) | v129(VarNext, 1))) | (~nextState(constB173, constB174)) | (~v127(constB173, 1)) | v129(constB174, 1)),
% 55.14/35.32 inference(modus_ponens,[status(thm)],[36811, 36810])).
% 55.14/35.32 tff(36813,plain,
% 55.14/35.32 ((~v127(constB173, 1)) | v129(constB174, 1)),
% 55.14/35.32 inference(unit_resolution,[status(thm)],[36812, 1608, 36687])).
% 55.14/35.32 tff(36814,plain,
% 55.14/35.32 (v129(constB174, 1)),
% 55.14/35.32 inference(unit_resolution,[status(thm)],[36813, 36809])).
% 55.14/35.32 tff(36815,plain,
% 55.14/35.32 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB174, 1) | (~v129(constB174, 1)) | (~v100(constB174)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB174, 1) | (~v129(constB174, 1)) | (~v100(constB174)))),
% 55.14/35.32 inference(rewrite,[status(thm)],[])).
% 55.14/35.32 tff(36816,plain,
% 55.14/35.32 ((v90(constB174, 1) | (~v100(constB174)) | (~v129(constB174, 1))) <=> (v90(constB174, 1) | (~v129(constB174, 1)) | (~v100(constB174)))),
% 55.14/35.32 inference(rewrite,[status(thm)],[])).
% 55.14/35.32 tff(36817,plain,
% 55.14/35.32 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB174, 1) | (~v100(constB174)) | (~v129(constB174, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB174, 1) | (~v129(constB174, 1)) | (~v100(constB174))))),
% 55.14/35.32 inference(monotonicity,[status(thm)],[36816])).
% 55.14/35.32 tff(36818,plain,
% 55.14/35.32 (((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB174, 1) | (~v100(constB174)) | (~v129(constB174, 1)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB174, 1) | (~v129(constB174, 1)) | (~v100(constB174)))),
% 55.14/35.32 inference(transitivity,[status(thm)],[36817, 36815])).
% 55.14/35.32 tff(36819,plain,
% 55.14/35.32 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | (v90(constB174, 1) | (~v100(constB174)) | (~v129(constB174, 1)))),
% 55.14/35.32 inference(quant_inst,[status(thm)],[])).
% 55.14/35.32 tff(36820,plain,
% 55.14/35.32 ((~![VarNext: state_type] : (v90(VarNext, 1) | (~v100(VarNext)) | (~v129(VarNext, 1)))) | v90(constB174, 1) | (~v129(constB174, 1)) | (~v100(constB174))),
% 55.14/35.32 inference(modus_ponens,[status(thm)],[36819, 36818])).
% 55.14/35.32 tff(36821,plain,
% 55.14/35.32 (v90(constB174, 1) | (~v129(constB174, 1))),
% 55.14/35.32 inference(unit_resolution,[status(thm)],[36820, 1623, 36737])).
% 55.14/35.32 tff(36822,plain,
% 55.14/35.32 (v90(constB174, 1)),
% 55.14/35.32 inference(unit_resolution,[status(thm)],[36821, 36814])).
% 55.14/35.32 tff(36823,plain,
% 55.14/35.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB174, 1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB174, 1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, 1))),
% 55.14/35.32 inference(rewrite,[status(thm)],[])).
% 55.14/35.32 tff(36824,plain,
% 55.14/35.32 (((~nextState(constB174, constB175)) | (~v90(constB174, 1)) | v100(constB175) | v90(constB175, 1)) <=> ((~v90(constB174, 1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, 1))),
% 55.14/35.32 inference(rewrite,[status(thm)],[])).
% 55.14/35.32 tff(36825,plain,
% 55.14/35.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB174, constB175)) | (~v90(constB174, 1)) | v100(constB175) | v90(constB175, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~v90(constB174, 1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, 1)))),
% 55.14/35.32 inference(monotonicity,[status(thm)],[36824])).
% 55.14/35.32 tff(36826,plain,
% 55.14/35.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB174, constB175)) | (~v90(constB174, 1)) | v100(constB175) | v90(constB175, 1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB174, 1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, 1))),
% 55.14/35.32 inference(transitivity,[status(thm)],[36825, 36823])).
% 55.14/35.32 tff(36827,plain,
% 55.14/35.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | ((~nextState(constB174, constB175)) | (~v90(constB174, 1)) | v100(constB175) | v90(constB175, 1))),
% 55.14/35.32 inference(quant_inst,[status(thm)],[])).
% 55.14/35.32 tff(36828,plain,
% 55.14/35.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 1)) | v100(VarNext) | v90(VarNext, 1))) | (~v90(constB174, 1)) | (~nextState(constB174, constB175)) | v100(constB175) | v90(constB175, 1)),
% 55.14/35.32 inference(modus_ponens,[status(thm)],[36827, 36826])).
% 55.14/35.32 tff(36829,plain,
% 55.14/35.32 ((~v90(constB174, 1)) | v100(constB175) | v90(constB175, 1)),
% 55.14/35.32 inference(unit_resolution,[status(thm)],[36828, 1641, 36748])).
% 55.14/35.32 tff(36830,plain,
% 55.14/35.32 ((~v90(constB174, 1)) | v90(constB175, 1)),
% 55.14/35.32 inference(unit_resolution,[status(thm)],[36829, 36760])).
% 55.14/35.32 tff(36831,plain,
% 55.14/35.32 (v90(constB175, 1)),
% 55.14/35.32 inference(unit_resolution,[status(thm)],[36830, 36822])).
% 55.14/35.32 tff(36832,assumption,(~v122(constB175)), introduced(assumption)).
% 55.14/35.32 tff(36833,plain,
% 55.14/35.32 (((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB175, 0)) | (~v90(constB175, 1)) | v90(constB175, 2) | v122(constB175))) <=> ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB175, 0)) | (~v90(constB175, 1)) | v90(constB175, 2) | v122(constB175))),
% 55.14/35.32 inference(rewrite,[status(thm)],[])).
% 55.14/35.32 tff(36834,plain,
% 55.14/35.32 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | ((~v90(constB175, 0)) | (~v90(constB175, 1)) | v90(constB175, 2) | v122(constB175))),
% 55.14/35.32 inference(quant_inst,[status(thm)],[])).
% 55.14/35.32 tff(36835,plain,
% 55.14/35.32 ((~![VarCurr: state_type] : ((~v90(VarCurr, 0)) | (~v90(VarCurr, 1)) | v90(VarCurr, 2) | v122(VarCurr))) | (~v90(constB175, 0)) | (~v90(constB175, 1)) | v90(constB175, 2) | v122(constB175)),
% 55.14/35.32 inference(modus_ponens,[status(thm)],[36834, 36833])).
% 55.14/35.32 tff(36836,plain,
% 55.14/35.32 ((~v90(constB175, 0)) | (~v90(constB175, 1)) | v90(constB175, 2)),
% 55.14/35.32 inference(unit_resolution,[status(thm)],[36835, 1956, 36832])).
% 55.14/35.32 tff(36837,plain,
% 55.14/35.32 ($false),
% 55.14/35.32 inference(unit_resolution,[status(thm)],[36836, 36831, 36800, 36769])).
% 55.14/35.32 tff(36838,plain,((~v121(constB173)) | v122(constB175) | (~v100(constB174))), inference(lemma,lemma(discharge,[]))).
% 55.14/35.32 tff(36839,plain,
% 55.14/35.32 (v122(constB175)),
% 55.14/35.32 inference(unit_resolution,[status(thm)],[36838, 36718, 35413])).
% 55.14/35.32 tff(36840,assumption,(v122(constB175)), introduced(assumption)).
% 55.14/35.32 tff(36841,plain,
% 55.14/35.32 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB175) | (~v122(constB175)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB175) | (~v122(constB175)))),
% 55.14/35.32 inference(rewrite,[status(thm)],[])).
% 55.14/35.32 tff(36842,plain,
% 55.14/35.32 (((~v122(constB175)) | v116(constB175)) <=> (v116(constB175) | (~v122(constB175)))),
% 55.14/35.32 inference(rewrite,[status(thm)],[])).
% 55.14/35.32 tff(36843,plain,
% 55.14/35.32 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB175)) | v116(constB175))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | (v116(constB175) | (~v122(constB175))))),
% 55.14/35.32 inference(monotonicity,[status(thm)],[36842])).
% 55.14/35.32 tff(36844,plain,
% 55.14/35.32 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB175)) | v116(constB175))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB175) | (~v122(constB175)))),
% 55.14/35.32 inference(transitivity,[status(thm)],[36843, 36841])).
% 55.14/35.32 tff(36845,plain,
% 55.14/35.32 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | ((~v122(constB175)) | v116(constB175))),
% 55.14/35.32 inference(quant_inst,[status(thm)],[])).
% 55.14/35.32 tff(36846,plain,
% 55.14/35.32 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v116(VarCurr))) | v116(constB175) | (~v122(constB175))),
% 55.14/35.32 inference(modus_ponens,[status(thm)],[36845, 36844])).
% 55.14/35.32 tff(36847,plain,
% 55.14/35.32 (v116(constB175)),
% 55.14/35.32 inference(unit_resolution,[status(thm)],[36846, 2120, 36840])).
% 55.14/35.32 tff(36848,plain,
% 55.14/35.32 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB175) | (~v116(constB175)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB175) | (~v116(constB175)))),
% 55.14/35.32 inference(rewrite,[status(thm)],[])).
% 55.14/35.32 tff(36849,plain,
% 55.14/35.32 (((~v116(constB175)) | v115(constB175)) <=> (v115(constB175) | (~v116(constB175)))),
% 55.14/35.32 inference(rewrite,[status(thm)],[])).
% 55.14/35.32 tff(36850,plain,
% 55.14/35.32 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB175)) | v115(constB175))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | (v115(constB175) | (~v116(constB175))))),
% 55.14/35.32 inference(monotonicity,[status(thm)],[36849])).
% 55.14/35.32 tff(36851,plain,
% 55.14/35.32 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB175)) | v115(constB175))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB175) | (~v116(constB175)))),
% 55.14/35.32 inference(transitivity,[status(thm)],[36850, 36848])).
% 55.14/35.32 tff(36852,plain,
% 55.14/35.32 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | ((~v116(constB175)) | v115(constB175))),
% 55.14/35.32 inference(quant_inst,[status(thm)],[])).
% 55.14/35.32 tff(36853,plain,
% 55.14/35.32 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v115(VarCurr))) | v115(constB175) | (~v116(constB175))),
% 55.14/35.32 inference(modus_ponens,[status(thm)],[36852, 36851])).
% 55.14/35.32 tff(36854,plain,
% 55.14/35.32 (v115(constB175)),
% 55.14/35.32 inference(unit_resolution,[status(thm)],[36853, 1021, 36847])).
% 55.14/35.32 tff(36855,plain,
% 55.14/35.32 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB175) | (~v115(constB175)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB175) | (~v115(constB175)))),
% 55.14/35.32 inference(rewrite,[status(thm)],[])).
% 55.14/35.32 tff(36856,plain,
% 55.14/35.32 (((~v115(constB175)) | v114(constB175)) <=> (v114(constB175) | (~v115(constB175)))),
% 55.14/35.32 inference(rewrite,[status(thm)],[])).
% 55.14/35.32 tff(36857,plain,
% 55.14/35.32 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB175)) | v114(constB175))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB175) | (~v115(constB175))))),
% 55.14/35.32 inference(monotonicity,[status(thm)],[36856])).
% 55.14/35.32 tff(36858,plain,
% 55.14/35.32 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB175)) | v114(constB175))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB175) | (~v115(constB175)))),
% 55.14/35.32 inference(transitivity,[status(thm)],[36857, 36855])).
% 55.14/35.32 tff(36859,plain,
% 55.14/35.32 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB175)) | v114(constB175))),
% 55.14/35.32 inference(quant_inst,[status(thm)],[])).
% 55.14/35.32 tff(36860,plain,
% 55.14/35.32 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB175) | (~v115(constB175))),
% 55.14/35.32 inference(modus_ponens,[status(thm)],[36859, 36858])).
% 55.14/35.32 tff(36861,plain,
% 55.14/35.32 (v114(constB175)),
% 55.14/35.32 inference(unit_resolution,[status(thm)],[36860, 1035, 36854])).
% 55.14/35.32 tff(36862,plain,
% 55.14/35.32 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB175) | (~v114(constB175)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB175) | (~v114(constB175)))),
% 55.14/35.32 inference(rewrite,[status(thm)],[])).
% 55.14/35.32 tff(36863,plain,
% 55.14/35.32 (((~v114(constB175)) | v113(constB175)) <=> (v113(constB175) | (~v114(constB175)))),
% 55.14/35.32 inference(rewrite,[status(thm)],[])).
% 55.14/35.32 tff(36864,plain,
% 55.14/35.32 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB175)) | v113(constB175))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB175) | (~v114(constB175))))),
% 55.14/35.32 inference(monotonicity,[status(thm)],[36863])).
% 55.14/35.32 tff(36865,plain,
% 55.14/35.32 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB175)) | v113(constB175))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB175) | (~v114(constB175)))),
% 55.14/35.32 inference(transitivity,[status(thm)],[36864, 36862])).
% 55.14/35.32 tff(36866,plain,
% 55.14/35.32 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB175)) | v113(constB175))),
% 55.14/35.32 inference(quant_inst,[status(thm)],[])).
% 55.14/35.32 tff(36867,plain,
% 55.14/35.32 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB175) | (~v114(constB175))),
% 55.14/35.32 inference(modus_ponens,[status(thm)],[36866, 36865])).
% 55.14/35.32 tff(36868,plain,
% 55.14/35.32 (v113(constB175)),
% 55.14/35.32 inference(unit_resolution,[status(thm)],[36867, 1049, 36861])).
% 55.14/35.32 tff(36869,assumption,(v26(constB175)), introduced(assumption)).
% 55.14/35.32 tff(36870,plain,
% 55.14/35.32 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB175))),
% 55.14/35.32 inference(quant_inst,[status(thm)],[])).
% 55.14/35.32 tff(36871,plain,
% 55.14/35.32 ($false),
% 55.14/35.32 inference(unit_resolution,[status(thm)],[36870, 828, 36869])).
% 55.14/35.32 tff(36872,plain,(~v26(constB175)), inference(lemma,lemma(discharge,[]))).
% 55.14/35.32 tff(36873,plain,
% 55.14/35.32 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB175) | v112(constB175) | (~v113(constB175)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB175) | v112(constB175) | (~v113(constB175)))),
% 55.14/35.32 inference(rewrite,[status(thm)],[])).
% 55.14/35.32 tff(36874,plain,
% 55.14/35.32 ((v26(constB175) | (~v113(constB175)) | v112(constB175)) <=> (v26(constB175) | v112(constB175) | (~v113(constB175)))),
% 55.14/35.32 inference(rewrite,[status(thm)],[])).
% 55.14/35.32 tff(36875,plain,
% 55.14/35.32 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB175) | (~v113(constB175)) | v112(constB175))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB175) | v112(constB175) | (~v113(constB175))))),
% 55.14/35.32 inference(monotonicity,[status(thm)],[36874])).
% 55.14/35.32 tff(36876,plain,
% 55.14/35.32 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB175) | (~v113(constB175)) | v112(constB175))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB175) | v112(constB175) | (~v113(constB175)))),
% 55.14/35.32 inference(transitivity,[status(thm)],[36875, 36873])).
% 55.14/35.32 tff(36877,plain,
% 55.14/35.32 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB175) | (~v113(constB175)) | v112(constB175))),
% 55.14/35.32 inference(quant_inst,[status(thm)],[])).
% 55.14/35.32 tff(36878,plain,
% 55.14/35.32 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB175) | v112(constB175) | (~v113(constB175))),
% 55.14/35.32 inference(modus_ponens,[status(thm)],[36877, 36876])).
% 55.14/35.32 tff(36879,plain,
% 55.14/35.32 (v112(constB175) | (~v113(constB175))),
% 55.14/35.32 inference(unit_resolution,[status(thm)],[36878, 1063, 36872])).
% 55.14/35.32 tff(36880,plain,
% 55.14/35.32 (v112(constB175)),
% 55.14/35.32 inference(unit_resolution,[status(thm)],[36879, 36868])).
% 55.14/35.32 tff(36881,plain,
% 55.14/35.32 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB175) | (~v112(constB175)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB175) | (~v112(constB175)))),
% 55.14/35.32 inference(rewrite,[status(thm)],[])).
% 55.14/35.32 tff(36882,plain,
% 55.14/35.32 (((~v112(constB175)) | v108(constB175)) <=> (v108(constB175) | (~v112(constB175)))),
% 55.14/35.32 inference(rewrite,[status(thm)],[])).
% 55.14/35.32 tff(36883,plain,
% 55.14/35.32 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB175)) | v108(constB175))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB175) | (~v112(constB175))))),
% 55.14/35.32 inference(monotonicity,[status(thm)],[36882])).
% 55.14/35.32 tff(36884,plain,
% 55.14/35.32 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB175)) | v108(constB175))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB175) | (~v112(constB175)))),
% 55.14/35.32 inference(transitivity,[status(thm)],[36883, 36881])).
% 55.14/35.32 tff(36885,plain,
% 55.14/35.32 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB175)) | v108(constB175))),
% 55.14/35.32 inference(quant_inst,[status(thm)],[])).
% 55.14/35.32 tff(36886,plain,
% 55.14/35.32 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB175) | (~v112(constB175))),
% 55.14/35.32 inference(modus_ponens,[status(thm)],[36885, 36884])).
% 55.14/35.32 tff(36887,plain,
% 55.14/35.32 (v108(constB175)),
% 55.14/35.32 inference(unit_resolution,[status(thm)],[36886, 1075, 36880])).
% 55.14/35.32 tff(36888,plain,
% 55.14/35.32 (nextState(constB175, constB176) <=> nextState(constB175, constB176)),
% 55.14/35.32 inference(rewrite,[status(thm)],[])).
% 55.14/35.32 tff(36889,axiom,(nextState(constB175, constB176)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_175_1')).
% 55.14/35.32 tff(36890,plain,
% 55.14/35.32 (nextState(constB175, constB176)),
% 55.14/35.32 inference(modus_ponens,[status(thm)],[36889, 36888])).
% 55.14/35.32 tff(36891,plain,
% 55.14/35.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175)))),
% 55.14/35.32 inference(rewrite,[status(thm)],[])).
% 55.14/35.32 tff(36892,plain,
% 55.14/35.32 (((~nextState(constB175, constB176)) | (~v108(constB175)) | v110(constB176)) <=> ((~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175)))),
% 55.14/35.32 inference(rewrite,[status(thm)],[])).
% 55.14/35.32 tff(36893,plain,
% 55.14/35.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB175, constB176)) | (~v108(constB175)) | v110(constB176))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175))))),
% 55.14/35.32 inference(monotonicity,[status(thm)],[36892])).
% 55.14/35.32 tff(36894,plain,
% 55.14/35.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB175, constB176)) | (~v108(constB175)) | v110(constB176))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175)))),
% 55.14/35.32 inference(transitivity,[status(thm)],[36893, 36891])).
% 55.14/35.32 tff(36895,plain,
% 55.14/35.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB175, constB176)) | (~v108(constB175)) | v110(constB176))),
% 55.14/35.32 inference(quant_inst,[status(thm)],[])).
% 55.14/35.32 tff(36896,plain,
% 55.14/35.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB175, constB176)) | v110(constB176) | (~v108(constB175))),
% 55.14/35.32 inference(modus_ponens,[status(thm)],[36895, 36894])).
% 55.14/35.32 tff(36897,plain,
% 55.14/35.32 (v110(constB176) | (~v108(constB175))),
% 55.14/35.32 inference(unit_resolution,[status(thm)],[36896, 1095, 36890])).
% 55.14/35.32 tff(36898,plain,
% 55.14/35.32 (v110(constB176)),
% 55.14/35.32 inference(unit_resolution,[status(thm)],[36897, 36887])).
% 55.14/35.32 tff(36899,plain,
% 55.14/35.32 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB175) | (~nextState(constB175, constB176)) | (~v104(constB176)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB175) | (~nextState(constB175, constB176)) | (~v104(constB176)))),
% 55.14/35.32 inference(rewrite,[status(thm)],[])).
% 55.14/35.32 tff(36900,plain,
% 55.14/35.32 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB175) | (~nextState(constB175, constB176)) | (~v104(constB176)))),
% 55.14/35.32 inference(quant_inst,[status(thm)],[])).
% 55.14/35.32 tff(36901,plain,
% 55.14/35.32 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB175) | (~nextState(constB175, constB176)) | (~v104(constB176))),
% 55.14/35.32 inference(modus_ponens,[status(thm)],[36900, 36899])).
% 55.14/35.32 tff(36902,plain,
% 55.14/35.32 (~v104(constB176)),
% 55.14/35.32 inference(unit_resolution,[status(thm)],[36901, 1113, 36890, 36745])).
% 55.14/35.32 tff(36903,plain,
% 55.14/35.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB175, constB176)) | v102(constB176) | v104(constB176))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB175, constB176)) | v102(constB176) | v104(constB176))),
% 55.14/35.32 inference(rewrite,[status(thm)],[])).
% 55.14/35.32 tff(36904,plain,
% 55.14/35.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB175, constB176)) | v102(constB176) | v104(constB176))),
% 55.14/35.32 inference(quant_inst,[status(thm)],[])).
% 55.14/35.32 tff(36905,plain,
% 55.14/35.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB175, constB176)) | v102(constB176) | v104(constB176)),
% 55.14/35.32 inference(modus_ponens,[status(thm)],[36904, 36903])).
% 55.14/35.33 tff(36906,plain,
% 55.14/35.33 (v102(constB176) | v104(constB176)),
% 55.14/35.33 inference(unit_resolution,[status(thm)],[36905, 1127, 36890])).
% 55.14/35.33 tff(36907,plain,
% 55.14/35.33 (v102(constB176)),
% 55.14/35.33 inference(unit_resolution,[status(thm)],[36906, 36902])).
% 55.14/35.33 tff(36908,plain,
% 55.14/35.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB175, constB176)) | v101(constB176) | (~v102(constB176)) | (~v1(constB176)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB175, constB176)) | v101(constB176) | (~v102(constB176)) | (~v1(constB176)))),
% 55.14/35.33 inference(rewrite,[status(thm)],[])).
% 55.14/35.33 tff(36909,plain,
% 55.14/35.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB175, constB176)) | v101(constB176) | (~v102(constB176)) | (~v1(constB176)))),
% 55.14/35.33 inference(quant_inst,[status(thm)],[])).
% 55.14/35.33 tff(36910,plain,
% 55.14/35.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB175, constB176)) | v101(constB176) | (~v102(constB176)) | (~v1(constB176))),
% 55.14/35.33 inference(modus_ponens,[status(thm)],[36909, 36908])).
% 55.14/35.33 tff(36911,plain,
% 55.14/35.33 (v101(constB176) | (~v102(constB176))),
% 55.14/35.33 inference(unit_resolution,[status(thm)],[36910, 1145, 36890, 211])).
% 55.14/35.33 tff(36912,plain,
% 55.14/35.33 (v101(constB176)),
% 55.14/35.33 inference(unit_resolution,[status(thm)],[36911, 36907])).
% 55.14/35.33 tff(36913,plain,
% 55.14/35.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176)))),
% 55.14/35.33 inference(rewrite,[status(thm)],[])).
% 55.14/35.33 tff(36914,plain,
% 55.14/35.33 (((~nextState(constB175, constB176)) | (~v101(constB176)) | (~v110(constB176)) | v100(constB176)) <=> ((~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176)))),
% 55.14/35.33 inference(rewrite,[status(thm)],[])).
% 55.14/35.33 tff(36915,plain,
% 55.14/35.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB175, constB176)) | (~v101(constB176)) | (~v110(constB176)) | v100(constB176))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176))))),
% 55.14/35.33 inference(monotonicity,[status(thm)],[36914])).
% 55.14/35.33 tff(36916,plain,
% 55.14/35.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB175, constB176)) | (~v101(constB176)) | (~v110(constB176)) | v100(constB176))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176)))),
% 55.14/35.33 inference(transitivity,[status(thm)],[36915, 36913])).
% 55.14/35.33 tff(36917,plain,
% 55.14/35.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB175, constB176)) | (~v101(constB176)) | (~v110(constB176)) | v100(constB176))),
% 55.14/35.33 inference(quant_inst,[status(thm)],[])).
% 55.14/35.33 tff(36918,plain,
% 55.14/35.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB175, constB176)) | v100(constB176) | (~v101(constB176)) | (~v110(constB176))),
% 55.14/35.33 inference(modus_ponens,[status(thm)],[36917, 36916])).
% 55.14/35.33 tff(36919,plain,
% 55.14/35.33 (v100(constB176) | (~v101(constB176)) | (~v110(constB176))),
% 55.14/35.33 inference(unit_resolution,[status(thm)],[36918, 1160, 36890])).
% 55.14/35.33 tff(36920,plain,
% 55.14/35.33 (v100(constB176) | (~v110(constB176))),
% 55.14/35.33 inference(unit_resolution,[status(thm)],[36919, 36912])).
% 55.14/35.33 tff(36921,plain,
% 55.14/35.33 (v100(constB176)),
% 55.14/35.33 inference(unit_resolution,[status(thm)],[36920, 36898])).
% 55.14/35.33 tff(36922,plain,
% 55.14/35.33 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB175)) | v130(constB175, 2))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB175)) | v130(constB175, 2))),
% 55.14/35.33 inference(rewrite,[status(thm)],[])).
% 55.14/35.33 tff(36923,plain,
% 55.14/35.33 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | ((~v122(constB175)) | v130(constB175, 2))),
% 55.14/35.33 inference(quant_inst,[status(thm)],[])).
% 55.14/35.33 tff(36924,plain,
% 55.14/35.33 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | v130(VarCurr, 2))) | (~v122(constB175)) | v130(constB175, 2)),
% 55.14/35.33 inference(modus_ponens,[status(thm)],[36923, 36922])).
% 55.14/35.33 tff(36925,plain,
% 55.14/35.33 (v130(constB175, 2)),
% 55.14/35.33 inference(unit_resolution,[status(thm)],[36924, 1967, 36840])).
% 55.14/35.33 tff(36926,plain,
% 55.14/35.33 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB175) | (~v130(constB175, 2)) | v127(constB175, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB175) | (~v130(constB175, 2)) | v127(constB175, 2))),
% 55.14/35.33 inference(rewrite,[status(thm)],[])).
% 55.14/35.33 tff(36927,plain,
% 55.14/35.33 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB175) | (~v130(constB175, 2)) | v127(constB175, 2))),
% 55.14/35.33 inference(quant_inst,[status(thm)],[])).
% 55.14/35.33 tff(36928,plain,
% 55.14/35.33 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB175) | (~v130(constB175, 2)) | v127(constB175, 2)),
% 55.14/35.33 inference(modus_ponens,[status(thm)],[36927, 36926])).
% 55.14/35.33 tff(36929,plain,
% 55.14/35.33 ((~v130(constB175, 2)) | v127(constB175, 2)),
% 55.14/35.33 inference(unit_resolution,[status(thm)],[36928, 1981, 36872])).
% 55.14/35.33 tff(36930,plain,
% 55.14/35.33 (v127(constB175, 2)),
% 55.14/35.33 inference(unit_resolution,[status(thm)],[36929, 36925])).
% 55.14/35.33 tff(36931,plain,
% 55.14/35.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB175, constB176)) | (~v127(constB175, 2)) | v129(constB176, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB175, constB176)) | (~v127(constB175, 2)) | v129(constB176, 2))),
% 55.14/35.33 inference(rewrite,[status(thm)],[])).
% 55.14/35.33 tff(36932,plain,
% 55.14/35.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB175, constB176)) | (~v127(constB175, 2)) | v129(constB176, 2))),
% 55.14/35.33 inference(quant_inst,[status(thm)],[])).
% 55.14/35.33 tff(36933,plain,
% 55.14/35.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB175, constB176)) | (~v127(constB175, 2)) | v129(constB176, 2)),
% 55.14/35.33 inference(modus_ponens,[status(thm)],[36932, 36931])).
% 55.14/35.33 tff(36934,plain,
% 55.14/35.33 ((~v127(constB175, 2)) | v129(constB176, 2)),
% 55.14/35.33 inference(unit_resolution,[status(thm)],[36933, 1999, 36890])).
% 55.14/35.33 tff(36935,plain,
% 55.14/35.33 (v129(constB176, 2)),
% 55.14/35.33 inference(unit_resolution,[status(thm)],[36934, 36930])).
% 55.14/35.33 tff(36936,plain,
% 55.14/35.33 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB176, 2) | (~v129(constB176, 2)) | (~v100(constB176)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB176, 2) | (~v129(constB176, 2)) | (~v100(constB176)))),
% 55.14/35.33 inference(rewrite,[status(thm)],[])).
% 55.14/35.33 tff(36937,plain,
% 55.14/35.33 ((v90(constB176, 2) | (~v100(constB176)) | (~v129(constB176, 2))) <=> (v90(constB176, 2) | (~v129(constB176, 2)) | (~v100(constB176)))),
% 55.14/35.33 inference(rewrite,[status(thm)],[])).
% 55.14/35.33 tff(36938,plain,
% 55.14/35.33 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB176, 2) | (~v100(constB176)) | (~v129(constB176, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB176, 2) | (~v129(constB176, 2)) | (~v100(constB176))))),
% 55.14/35.33 inference(monotonicity,[status(thm)],[36937])).
% 55.14/35.33 tff(36939,plain,
% 55.14/35.33 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB176, 2) | (~v100(constB176)) | (~v129(constB176, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB176, 2) | (~v129(constB176, 2)) | (~v100(constB176)))),
% 55.14/35.33 inference(transitivity,[status(thm)],[36938, 36936])).
% 55.14/35.33 tff(36940,plain,
% 55.14/35.33 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB176, 2) | (~v100(constB176)) | (~v129(constB176, 2)))),
% 55.14/35.33 inference(quant_inst,[status(thm)],[])).
% 55.14/35.33 tff(36941,plain,
% 55.14/35.33 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB176, 2) | (~v129(constB176, 2)) | (~v100(constB176))),
% 55.14/35.33 inference(modus_ponens,[status(thm)],[36940, 36939])).
% 55.14/35.33 tff(36942,plain,
% 55.14/35.33 (v90(constB176, 2) | (~v100(constB176))),
% 55.14/35.33 inference(unit_resolution,[status(thm)],[36941, 2324, 36935])).
% 55.14/35.33 tff(36943,plain,
% 55.14/35.33 (v90(constB176, 2)),
% 55.14/35.33 inference(unit_resolution,[status(thm)],[36942, 36921])).
% 55.14/35.33 tff(36944,plain,
% 55.14/35.33 ((~v1(constB177)) <=> (~v1(constB177))),
% 55.14/35.33 inference(rewrite,[status(thm)],[])).
% 55.14/35.33 tff(36945,axiom,(~v1(constB177)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_177_1_1')).
% 55.14/35.33 tff(36946,plain,
% 55.14/35.33 (~v1(constB177)),
% 55.14/35.33 inference(modus_ponens,[status(thm)],[36945, 36944])).
% 55.14/35.33 tff(36947,plain,
% 55.14/35.33 (nextState(constB176, constB177) <=> nextState(constB176, constB177)),
% 55.14/35.33 inference(rewrite,[status(thm)],[])).
% 55.14/35.33 tff(36948,axiom,(nextState(constB176, constB177)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_176_1')).
% 55.14/35.33 tff(36949,plain,
% 55.14/35.33 (nextState(constB176, constB177)),
% 55.14/35.33 inference(modus_ponens,[status(thm)],[36948, 36947])).
% 55.14/35.33 tff(36950,plain,
% 55.14/35.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177)))),
% 55.14/35.33 inference(rewrite,[status(thm)],[])).
% 55.14/35.33 tff(36951,plain,
% 55.14/35.33 (((~nextState(constB176, constB177)) | (~v101(constB177)) | v1(constB177)) <=> (v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177)))),
% 55.14/35.33 inference(rewrite,[status(thm)],[])).
% 55.14/35.33 tff(36952,plain,
% 55.14/35.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB176, constB177)) | (~v101(constB177)) | v1(constB177))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177))))),
% 55.14/35.33 inference(monotonicity,[status(thm)],[36951])).
% 55.14/35.33 tff(36953,plain,
% 55.14/35.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB176, constB177)) | (~v101(constB177)) | v1(constB177))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177)))),
% 55.14/35.33 inference(transitivity,[status(thm)],[36952, 36950])).
% 55.14/35.33 tff(36954,plain,
% 55.14/35.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB176, constB177)) | (~v101(constB177)) | v1(constB177))),
% 55.14/35.33 inference(quant_inst,[status(thm)],[])).
% 55.14/35.33 tff(36955,plain,
% 55.14/35.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB177) | (~nextState(constB176, constB177)) | (~v101(constB177))),
% 55.14/35.33 inference(modus_ponens,[status(thm)],[36954, 36953])).
% 55.14/35.33 tff(36956,plain,
% 55.14/35.33 (~v101(constB177)),
% 55.14/35.33 inference(unit_resolution,[status(thm)],[36955, 873, 36949, 36946])).
% 55.14/35.33 tff(36957,plain,
% 55.14/35.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB176, constB177)) | v101(constB177) | (~v100(constB177)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB176, constB177)) | v101(constB177) | (~v100(constB177)))),
% 55.14/35.33 inference(rewrite,[status(thm)],[])).
% 55.14/35.33 tff(36958,plain,
% 55.14/35.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | ((~nextState(constB176, constB177)) | v101(constB177) | (~v100(constB177)))),
% 55.14/35.33 inference(quant_inst,[status(thm)],[])).
% 55.14/35.33 tff(36959,plain,
% 55.14/35.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v100(VarNext)))) | (~nextState(constB176, constB177)) | v101(constB177) | (~v100(constB177))),
% 55.14/35.33 inference(modus_ponens,[status(thm)],[36958, 36957])).
% 55.14/35.33 tff(36960,plain,
% 55.14/35.33 (v101(constB177) | (~v100(constB177))),
% 55.14/35.33 inference(unit_resolution,[status(thm)],[36959, 890, 36949])).
% 55.14/35.33 tff(36961,plain,
% 55.14/35.33 (~v100(constB177)),
% 55.14/35.33 inference(unit_resolution,[status(thm)],[36960, 36956])).
% 55.14/35.33 tff(36962,plain,
% 55.14/35.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB176, 2)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB176, 2)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, 2))),
% 55.14/35.33 inference(rewrite,[status(thm)],[])).
% 55.14/35.33 tff(36963,plain,
% 55.14/35.33 (((~nextState(constB176, constB177)) | (~v90(constB176, 2)) | v100(constB177) | v90(constB177, 2)) <=> ((~v90(constB176, 2)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, 2))),
% 55.14/35.33 inference(rewrite,[status(thm)],[])).
% 55.14/35.33 tff(36964,plain,
% 55.14/35.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB176, constB177)) | (~v90(constB176, 2)) | v100(constB177) | v90(constB177, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~v90(constB176, 2)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, 2)))),
% 55.14/35.33 inference(monotonicity,[status(thm)],[36963])).
% 55.14/35.33 tff(36965,plain,
% 55.14/35.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB176, constB177)) | (~v90(constB176, 2)) | v100(constB177) | v90(constB177, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB176, 2)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, 2))),
% 55.14/35.33 inference(transitivity,[status(thm)],[36964, 36962])).
% 55.14/35.33 tff(36966,plain,
% 55.14/35.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | ((~nextState(constB176, constB177)) | (~v90(constB176, 2)) | v100(constB177) | v90(constB177, 2))),
% 55.14/35.33 inference(quant_inst,[status(thm)],[])).
% 55.14/35.33 tff(36967,plain,
% 55.14/35.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v90(VarCurr, 2)) | v100(VarNext) | v90(VarNext, 2))) | (~v90(constB176, 2)) | (~nextState(constB176, constB177)) | v100(constB177) | v90(constB177, 2)),
% 55.14/35.33 inference(modus_ponens,[status(thm)],[36966, 36965])).
% 55.14/35.33 tff(36968,plain,
% 55.14/35.33 ((~v90(constB176, 2)) | v100(constB177) | v90(constB177, 2)),
% 55.14/35.33 inference(unit_resolution,[status(thm)],[36967, 2174, 36949])).
% 55.14/35.33 tff(36969,plain,
% 55.14/35.33 ((~v90(constB176, 2)) | v90(constB177, 2)),
% 55.14/35.33 inference(unit_resolution,[status(thm)],[36968, 36961])).
% 55.14/35.33 tff(36970,plain,
% 55.14/35.33 (v90(constB177, 2)),
% 55.14/35.33 inference(unit_resolution,[status(thm)],[36969, 36943])).
% 55.14/35.33 tff(36971,plain,
% 55.14/35.33 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB175)) | (~v130(constB175, 0)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB175)) | (~v130(constB175, 0)))),
% 55.14/35.33 inference(rewrite,[status(thm)],[])).
% 55.14/35.33 tff(36972,plain,
% 55.14/35.33 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | ((~v122(constB175)) | (~v130(constB175, 0)))),
% 55.14/35.33 inference(quant_inst,[status(thm)],[])).
% 55.14/35.33 tff(36973,plain,
% 55.14/35.33 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 0)))) | (~v122(constB175)) | (~v130(constB175, 0))),
% 55.14/35.33 inference(modus_ponens,[status(thm)],[36972, 36971])).
% 55.14/35.33 tff(36974,plain,
% 55.14/35.33 (~v130(constB175, 0)),
% 55.14/35.33 inference(unit_resolution,[status(thm)],[36973, 2407, 36840])).
% 55.14/35.33 tff(36975,plain,
% 55.14/35.33 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB175, 0)) | v26(constB175) | v130(constB175, 0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB175, 0)) | v26(constB175) | v130(constB175, 0))),
% 55.14/35.33 inference(rewrite,[status(thm)],[])).
% 55.14/35.33 tff(36976,plain,
% 55.14/35.33 ((v26(constB175) | v130(constB175, 0) | (~v127(constB175, 0))) <=> ((~v127(constB175, 0)) | v26(constB175) | v130(constB175, 0))),
% 55.14/35.33 inference(rewrite,[status(thm)],[])).
% 55.14/35.33 tff(36977,plain,
% 55.14/35.33 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB175) | v130(constB175, 0) | (~v127(constB175, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | ((~v127(constB175, 0)) | v26(constB175) | v130(constB175, 0)))),
% 55.14/35.33 inference(monotonicity,[status(thm)],[36976])).
% 55.14/35.33 tff(36978,plain,
% 55.14/35.33 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB175) | v130(constB175, 0) | (~v127(constB175, 0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB175, 0)) | v26(constB175) | v130(constB175, 0))),
% 55.14/35.33 inference(transitivity,[status(thm)],[36977, 36975])).
% 55.14/35.33 tff(36979,plain,
% 55.14/35.33 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (v26(constB175) | v130(constB175, 0) | (~v127(constB175, 0)))),
% 55.14/35.33 inference(quant_inst,[status(thm)],[])).
% 55.14/35.33 tff(36980,plain,
% 55.14/35.33 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 0) | (~v127(VarCurr, 0)))) | (~v127(constB175, 0)) | v26(constB175) | v130(constB175, 0)),
% 55.14/35.33 inference(modus_ponens,[status(thm)],[36979, 36978])).
% 55.14/35.33 tff(36981,plain,
% 55.14/35.33 ((~v127(constB175, 0)) | v130(constB175, 0)),
% 55.14/35.33 inference(unit_resolution,[status(thm)],[36980, 1671, 36872])).
% 55.14/35.33 tff(36982,plain,
% 55.14/35.33 (~v127(constB175, 0)),
% 55.14/35.33 inference(unit_resolution,[status(thm)],[36981, 36974])).
% 55.14/35.33 tff(36983,plain,
% 55.14/35.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB175, constB176)) | v127(constB175, 0) | (~v129(constB176, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB175, constB176)) | v127(constB175, 0) | (~v129(constB176, 0)))),
% 55.14/35.33 inference(rewrite,[status(thm)],[])).
% 55.14/35.33 tff(36984,plain,
% 55.14/35.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | ((~nextState(constB175, constB176)) | v127(constB175, 0) | (~v129(constB176, 0)))),
% 55.14/35.33 inference(quant_inst,[status(thm)],[])).
% 55.14/35.33 tff(36985,plain,
% 55.14/35.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 0) | (~v129(VarNext, 0)))) | (~nextState(constB175, constB176)) | v127(constB175, 0) | (~v129(constB176, 0))),
% 55.14/35.33 inference(modus_ponens,[status(thm)],[36984, 36983])).
% 55.14/35.33 tff(36986,plain,
% 55.14/35.33 (v127(constB175, 0) | (~v129(constB176, 0))),
% 55.14/35.33 inference(unit_resolution,[status(thm)],[36985, 1689, 36890])).
% 55.14/35.33 tff(36987,plain,
% 55.14/35.33 (~v129(constB176, 0)),
% 55.14/35.33 inference(unit_resolution,[status(thm)],[36986, 36982])).
% 55.14/35.33 tff(36988,plain,
% 55.14/35.33 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB176, 0)) | v129(constB176, 0) | (~v100(constB176)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB176, 0)) | v129(constB176, 0) | (~v100(constB176)))),
% 55.14/35.33 inference(rewrite,[status(thm)],[])).
% 55.14/35.33 tff(36989,plain,
% 55.14/35.33 (((~v90(constB176, 0)) | (~v100(constB176)) | v129(constB176, 0)) <=> ((~v90(constB176, 0)) | v129(constB176, 0) | (~v100(constB176)))),
% 55.14/35.33 inference(rewrite,[status(thm)],[])).
% 55.14/35.33 tff(36990,plain,
% 55.14/35.33 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB176, 0)) | (~v100(constB176)) | v129(constB176, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB176, 0)) | v129(constB176, 0) | (~v100(constB176))))),
% 55.14/35.33 inference(monotonicity,[status(thm)],[36989])).
% 55.14/35.33 tff(36991,plain,
% 55.14/35.33 (((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB176, 0)) | (~v100(constB176)) | v129(constB176, 0))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB176, 0)) | v129(constB176, 0) | (~v100(constB176)))),
% 55.14/35.33 inference(transitivity,[status(thm)],[36990, 36988])).
% 55.14/35.33 tff(36992,plain,
% 55.14/35.33 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | ((~v90(constB176, 0)) | (~v100(constB176)) | v129(constB176, 0))),
% 55.14/35.33 inference(quant_inst,[status(thm)],[])).
% 55.14/35.33 tff(36993,plain,
% 55.14/35.33 ((~![VarNext: state_type] : ((~v90(VarNext, 0)) | (~v100(VarNext)) | v129(VarNext, 0))) | (~v90(constB176, 0)) | v129(constB176, 0) | (~v100(constB176))),
% 55.14/35.33 inference(modus_ponens,[status(thm)],[36992, 36991])).
% 55.14/35.33 tff(36994,plain,
% 55.14/35.33 ((~v90(constB176, 0)) | (~v100(constB176))),
% 55.14/35.33 inference(unit_resolution,[status(thm)],[36993, 1704, 36987])).
% 55.14/35.33 tff(36995,plain,
% 55.14/35.33 (~v90(constB176, 0)),
% 55.14/35.33 inference(unit_resolution,[status(thm)],[36994, 36921])).
% 55.14/35.33 tff(36996,plain,
% 55.14/35.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB176, 0) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB176, 0) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, 0)))),
% 55.14/35.33 inference(rewrite,[status(thm)],[])).
% 55.14/35.33 tff(36997,plain,
% 55.14/35.33 (((~nextState(constB176, constB177)) | v90(constB176, 0) | v100(constB177) | (~v90(constB177, 0))) <=> (v90(constB176, 0) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, 0)))),
% 55.14/35.33 inference(rewrite,[status(thm)],[])).
% 55.14/35.33 tff(36998,plain,
% 55.14/35.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB176, constB177)) | v90(constB176, 0) | v100(constB177) | (~v90(constB177, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | (v90(constB176, 0) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, 0))))),
% 55.14/35.33 inference(monotonicity,[status(thm)],[36997])).
% 55.14/35.33 tff(36999,plain,
% 55.14/35.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB176, constB177)) | v90(constB176, 0) | v100(constB177) | (~v90(constB177, 0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB176, 0) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, 0)))),
% 55.14/35.33 inference(transitivity,[status(thm)],[36998, 36996])).
% 55.14/35.33 tff(37000,plain,
% 55.14/35.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | ((~nextState(constB176, constB177)) | v90(constB176, 0) | v100(constB177) | (~v90(constB177, 0)))),
% 55.14/35.33 inference(quant_inst,[status(thm)],[])).
% 55.14/35.33 tff(37001,plain,
% 55.14/35.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 0) | v100(VarNext) | (~v90(VarNext, 0)))) | v90(constB176, 0) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, 0))),
% 55.14/35.33 inference(modus_ponens,[status(thm)],[37000, 36999])).
% 55.14/35.33 tff(37002,plain,
% 55.14/35.33 (v90(constB176, 0) | v100(constB177) | (~v90(constB177, 0))),
% 55.14/35.33 inference(unit_resolution,[status(thm)],[37001, 947, 36949])).
% 55.14/35.33 tff(37003,plain,
% 55.14/35.33 (v90(constB176, 0) | (~v90(constB177, 0))),
% 55.14/35.33 inference(unit_resolution,[status(thm)],[37002, 36961])).
% 55.14/35.33 tff(37004,plain,
% 55.14/35.33 (~v90(constB177, 0)),
% 55.14/35.33 inference(unit_resolution,[status(thm)],[37003, 36995])).
% 55.14/35.33 tff(37005,plain,
% 55.14/35.33 (((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB175)) | (~v130(constB175, 1)))) <=> ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB175)) | (~v130(constB175, 1)))),
% 55.14/35.33 inference(rewrite,[status(thm)],[])).
% 55.14/35.33 tff(37006,plain,
% 55.14/35.33 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | ((~v122(constB175)) | (~v130(constB175, 1)))),
% 55.14/35.33 inference(quant_inst,[status(thm)],[])).
% 55.14/35.33 tff(37007,plain,
% 55.14/35.33 ((~![VarCurr: state_type] : ((~v122(VarCurr)) | (~v130(VarCurr, 1)))) | (~v122(constB175)) | (~v130(constB175, 1))),
% 55.14/35.33 inference(modus_ponens,[status(thm)],[37006, 37005])).
% 55.14/35.33 tff(37008,plain,
% 55.14/35.33 (~v130(constB175, 1)),
% 55.14/35.33 inference(unit_resolution,[status(thm)],[37007, 2366, 36840])).
% 55.14/35.33 tff(37009,plain,
% 55.14/35.33 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB175, 1)) | v26(constB175) | v130(constB175, 1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB175, 1)) | v26(constB175) | v130(constB175, 1))),
% 55.14/35.33 inference(rewrite,[status(thm)],[])).
% 55.14/35.33 tff(37010,plain,
% 55.14/35.33 ((v26(constB175) | v130(constB175, 1) | (~v127(constB175, 1))) <=> ((~v127(constB175, 1)) | v26(constB175) | v130(constB175, 1))),
% 55.14/35.33 inference(rewrite,[status(thm)],[])).
% 55.14/35.33 tff(37011,plain,
% 55.14/35.33 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB175) | v130(constB175, 1) | (~v127(constB175, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | ((~v127(constB175, 1)) | v26(constB175) | v130(constB175, 1)))),
% 55.14/35.33 inference(monotonicity,[status(thm)],[37010])).
% 55.14/35.33 tff(37012,plain,
% 55.14/35.33 (((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB175) | v130(constB175, 1) | (~v127(constB175, 1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB175, 1)) | v26(constB175) | v130(constB175, 1))),
% 55.14/35.33 inference(transitivity,[status(thm)],[37011, 37009])).
% 55.14/35.33 tff(37013,plain,
% 55.14/35.33 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (v26(constB175) | v130(constB175, 1) | (~v127(constB175, 1)))),
% 55.14/35.33 inference(quant_inst,[status(thm)],[])).
% 55.14/35.33 tff(37014,plain,
% 55.14/35.33 ((~![VarCurr: state_type] : (v26(VarCurr) | v130(VarCurr, 1) | (~v127(VarCurr, 1)))) | (~v127(constB175, 1)) | v26(constB175) | v130(constB175, 1)),
% 55.14/35.33 inference(modus_ponens,[status(thm)],[37013, 37012])).
% 55.14/35.33 tff(37015,plain,
% 55.14/35.33 ((~v127(constB175, 1)) | v130(constB175, 1)),
% 55.14/35.33 inference(unit_resolution,[status(thm)],[37014, 1276, 36872])).
% 55.14/35.33 tff(37016,plain,
% 55.14/35.33 (~v127(constB175, 1)),
% 55.14/35.33 inference(unit_resolution,[status(thm)],[37015, 37008])).
% 55.14/35.33 tff(37017,plain,
% 55.14/35.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB175, constB176)) | v127(constB175, 1) | (~v129(constB176, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB175, constB176)) | v127(constB175, 1) | (~v129(constB176, 1)))),
% 55.14/35.33 inference(rewrite,[status(thm)],[])).
% 55.14/35.33 tff(37018,plain,
% 55.14/35.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | ((~nextState(constB175, constB176)) | v127(constB175, 1) | (~v129(constB176, 1)))),
% 55.14/35.33 inference(quant_inst,[status(thm)],[])).
% 55.14/35.33 tff(37019,plain,
% 55.14/35.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v127(VarCurr, 1) | (~v129(VarNext, 1)))) | (~nextState(constB175, constB176)) | v127(constB175, 1) | (~v129(constB176, 1))),
% 55.14/35.33 inference(modus_ponens,[status(thm)],[37018, 37017])).
% 55.14/35.33 tff(37020,plain,
% 55.14/35.33 (v127(constB175, 1) | (~v129(constB176, 1))),
% 55.14/35.33 inference(unit_resolution,[status(thm)],[37019, 1294, 36890])).
% 55.14/35.33 tff(37021,plain,
% 55.14/35.33 (~v129(constB176, 1)),
% 55.14/35.33 inference(unit_resolution,[status(thm)],[37020, 37016])).
% 55.14/35.33 tff(37022,plain,
% 55.14/35.33 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB176, 1)) | v129(constB176, 1) | (~v100(constB176)))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB176, 1)) | v129(constB176, 1) | (~v100(constB176)))),
% 55.14/35.33 inference(rewrite,[status(thm)],[])).
% 55.14/35.33 tff(37023,plain,
% 55.14/35.33 (((~v90(constB176, 1)) | (~v100(constB176)) | v129(constB176, 1)) <=> ((~v90(constB176, 1)) | v129(constB176, 1) | (~v100(constB176)))),
% 55.14/35.33 inference(rewrite,[status(thm)],[])).
% 55.14/35.33 tff(37024,plain,
% 55.14/35.33 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB176, 1)) | (~v100(constB176)) | v129(constB176, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB176, 1)) | v129(constB176, 1) | (~v100(constB176))))),
% 55.14/35.33 inference(monotonicity,[status(thm)],[37023])).
% 55.14/35.33 tff(37025,plain,
% 55.14/35.33 (((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB176, 1)) | (~v100(constB176)) | v129(constB176, 1))) <=> ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB176, 1)) | v129(constB176, 1) | (~v100(constB176)))),
% 55.14/35.33 inference(transitivity,[status(thm)],[37024, 37022])).
% 55.14/35.33 tff(37026,plain,
% 55.14/35.33 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | ((~v90(constB176, 1)) | (~v100(constB176)) | v129(constB176, 1))),
% 55.14/35.33 inference(quant_inst,[status(thm)],[])).
% 55.14/35.33 tff(37027,plain,
% 55.14/35.33 ((~![VarNext: state_type] : ((~v90(VarNext, 1)) | (~v100(VarNext)) | v129(VarNext, 1))) | (~v90(constB176, 1)) | v129(constB176, 1) | (~v100(constB176))),
% 55.14/35.33 inference(modus_ponens,[status(thm)],[37026, 37025])).
% 55.14/35.33 tff(37028,plain,
% 55.14/35.33 ((~v90(constB176, 1)) | (~v100(constB176))),
% 55.14/35.33 inference(unit_resolution,[status(thm)],[37027, 1309, 37021])).
% 55.14/35.33 tff(37029,plain,
% 55.14/35.33 (~v90(constB176, 1)),
% 55.14/35.33 inference(unit_resolution,[status(thm)],[37028, 36921])).
% 55.14/35.33 tff(37030,plain,
% 55.14/35.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB176, 1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB176, 1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, 1)))),
% 55.14/35.33 inference(rewrite,[status(thm)],[])).
% 55.14/35.33 tff(37031,plain,
% 55.14/35.33 (((~nextState(constB176, constB177)) | v90(constB176, 1) | v100(constB177) | (~v90(constB177, 1))) <=> (v90(constB176, 1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, 1)))),
% 55.14/35.33 inference(rewrite,[status(thm)],[])).
% 55.14/35.33 tff(37032,plain,
% 55.14/35.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB176, constB177)) | v90(constB176, 1) | v100(constB177) | (~v90(constB177, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | (v90(constB176, 1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, 1))))),
% 55.14/35.33 inference(monotonicity,[status(thm)],[37031])).
% 55.14/35.33 tff(37033,plain,
% 55.14/35.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB176, constB177)) | v90(constB176, 1) | v100(constB177) | (~v90(constB177, 1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB176, 1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, 1)))),
% 55.14/35.33 inference(transitivity,[status(thm)],[37032, 37030])).
% 55.14/35.33 tff(37034,plain,
% 55.14/35.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | ((~nextState(constB176, constB177)) | v90(constB176, 1) | v100(constB177) | (~v90(constB177, 1)))),
% 55.14/35.33 inference(quant_inst,[status(thm)],[])).
% 55.14/35.33 tff(37035,plain,
% 55.14/35.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v90(VarCurr, 1) | v100(VarNext) | (~v90(VarNext, 1)))) | v90(constB176, 1) | (~nextState(constB176, constB177)) | v100(constB177) | (~v90(constB177, 1))),
% 55.14/35.33 inference(modus_ponens,[status(thm)],[37034, 37033])).
% 55.14/35.33 tff(37036,plain,
% 55.14/35.33 (v90(constB176, 1) | v100(constB177) | (~v90(constB177, 1))),
% 55.14/35.33 inference(unit_resolution,[status(thm)],[37035, 926, 36949])).
% 55.14/35.33 tff(37037,plain,
% 55.14/35.33 (v90(constB176, 1) | (~v90(constB177, 1))),
% 55.14/35.33 inference(unit_resolution,[status(thm)],[37036, 36961])).
% 55.14/35.33 tff(37038,plain,
% 55.14/35.33 (~v90(constB177, 1)),
% 55.14/35.33 inference(unit_resolution,[status(thm)],[37037, 37029])).
% 55.14/35.33 tff(37039,assumption,(~v123(constB177)), introduced(assumption)).
% 55.14/35.33 tff(37040,plain,
% 55.14/35.33 (((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB177, 0) | v90(constB177, 1) | (~v90(constB177, 2)) | v123(constB177))) <=> ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB177, 0) | v90(constB177, 1) | (~v90(constB177, 2)) | v123(constB177))),
% 55.14/35.33 inference(rewrite,[status(thm)],[])).
% 55.14/35.33 tff(37041,plain,
% 55.14/35.33 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | (v90(constB177, 0) | v90(constB177, 1) | (~v90(constB177, 2)) | v123(constB177))),
% 55.14/35.33 inference(quant_inst,[status(thm)],[])).
% 55.14/35.33 tff(37042,plain,
% 55.14/35.33 ((~![VarCurr: state_type] : (v90(VarCurr, 0) | v90(VarCurr, 1) | (~v90(VarCurr, 2)) | v123(VarCurr))) | v90(constB177, 0) | v90(constB177, 1) | (~v90(constB177, 2)) | v123(constB177)),
% 55.14/35.33 inference(modus_ponens,[status(thm)],[37041, 37040])).
% 55.14/35.33 tff(37043,plain,
% 55.14/35.33 (v90(constB177, 0) | v90(constB177, 1) | (~v90(constB177, 2))),
% 55.14/35.33 inference(unit_resolution,[status(thm)],[37042, 2308, 37039])).
% 55.14/35.33 tff(37044,plain,
% 55.14/35.33 ($false),
% 55.14/35.33 inference(unit_resolution,[status(thm)],[37043, 37038, 37004, 36970])).
% 55.14/35.33 tff(37045,plain,((~v122(constB175)) | v123(constB177)), inference(lemma,lemma(discharge,[]))).
% 55.14/35.33 tff(37046,plain,
% 55.14/35.33 (v123(constB177)),
% 55.14/35.33 inference(unit_resolution,[status(thm)],[37045, 36839])).
% 55.14/35.33 tff(37047,plain,
% 55.14/35.33 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB177)) | v115(constB177))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB177)) | v115(constB177))),
% 55.14/35.33 inference(rewrite,[status(thm)],[])).
% 55.14/35.33 tff(37048,plain,
% 55.14/35.33 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | ((~v123(constB177)) | v115(constB177))),
% 55.14/35.33 inference(quant_inst,[status(thm)],[])).
% 55.14/35.33 tff(37049,plain,
% 55.14/35.33 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v115(VarCurr))) | (~v123(constB177)) | v115(constB177)),
% 55.14/35.33 inference(modus_ponens,[status(thm)],[37048, 37047])).
% 55.14/35.33 tff(37050,plain,
% 55.14/35.33 (v115(constB177)),
% 55.14/35.33 inference(unit_resolution,[status(thm)],[37049, 2291, 37046])).
% 55.14/35.33 tff(37051,plain,
% 55.14/35.33 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB177) | (~v115(constB177)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB177) | (~v115(constB177)))),
% 55.14/35.33 inference(rewrite,[status(thm)],[])).
% 55.14/35.33 tff(37052,plain,
% 55.14/35.33 (((~v115(constB177)) | v114(constB177)) <=> (v114(constB177) | (~v115(constB177)))),
% 55.14/35.33 inference(rewrite,[status(thm)],[])).
% 55.14/35.33 tff(37053,plain,
% 55.14/35.33 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB177)) | v114(constB177))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | (v114(constB177) | (~v115(constB177))))),
% 55.14/35.33 inference(monotonicity,[status(thm)],[37052])).
% 55.14/35.33 tff(37054,plain,
% 55.14/35.33 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB177)) | v114(constB177))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB177) | (~v115(constB177)))),
% 55.14/35.33 inference(transitivity,[status(thm)],[37053, 37051])).
% 55.14/35.33 tff(37055,plain,
% 55.14/35.33 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | ((~v115(constB177)) | v114(constB177))),
% 55.14/35.33 inference(quant_inst,[status(thm)],[])).
% 55.14/35.33 tff(37056,plain,
% 55.14/35.33 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v114(VarCurr))) | v114(constB177) | (~v115(constB177))),
% 55.14/35.33 inference(modus_ponens,[status(thm)],[37055, 37054])).
% 55.14/35.33 tff(37057,plain,
% 55.14/35.33 (v114(constB177)),
% 55.14/35.33 inference(unit_resolution,[status(thm)],[37056, 1035, 37050])).
% 55.14/35.33 tff(37058,plain,
% 55.14/35.33 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB177) | (~v114(constB177)))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB177) | (~v114(constB177)))),
% 55.14/35.33 inference(rewrite,[status(thm)],[])).
% 55.14/35.33 tff(37059,plain,
% 55.14/35.33 (((~v114(constB177)) | v113(constB177)) <=> (v113(constB177) | (~v114(constB177)))),
% 55.14/35.33 inference(rewrite,[status(thm)],[])).
% 55.14/35.33 tff(37060,plain,
% 55.14/35.33 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB177)) | v113(constB177))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | (v113(constB177) | (~v114(constB177))))),
% 55.14/35.33 inference(monotonicity,[status(thm)],[37059])).
% 55.14/35.33 tff(37061,plain,
% 55.14/35.33 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB177)) | v113(constB177))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB177) | (~v114(constB177)))),
% 55.14/35.33 inference(transitivity,[status(thm)],[37060, 37058])).
% 55.14/35.33 tff(37062,plain,
% 55.14/35.33 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | ((~v114(constB177)) | v113(constB177))),
% 55.14/35.33 inference(quant_inst,[status(thm)],[])).
% 55.14/35.33 tff(37063,plain,
% 55.14/35.33 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | v113(VarCurr))) | v113(constB177) | (~v114(constB177))),
% 55.14/35.33 inference(modus_ponens,[status(thm)],[37062, 37061])).
% 55.14/35.33 tff(37064,plain,
% 55.14/35.33 (v113(constB177)),
% 55.14/35.33 inference(unit_resolution,[status(thm)],[37063, 1049, 37057])).
% 55.14/35.33 tff(37065,assumption,(v26(constB177)), introduced(assumption)).
% 55.14/35.33 tff(37066,plain,
% 55.14/35.33 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB177))),
% 55.14/35.33 inference(quant_inst,[status(thm)],[])).
% 55.14/35.33 tff(37067,plain,
% 55.14/35.33 ($false),
% 55.14/35.33 inference(unit_resolution,[status(thm)],[37066, 828, 37065])).
% 55.14/35.33 tff(37068,plain,(~v26(constB177)), inference(lemma,lemma(discharge,[]))).
% 55.14/35.33 tff(37069,plain,
% 55.14/35.33 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB177) | v112(constB177) | (~v113(constB177)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB177) | v112(constB177) | (~v113(constB177)))),
% 55.14/35.33 inference(rewrite,[status(thm)],[])).
% 55.14/35.33 tff(37070,plain,
% 55.14/35.33 ((v26(constB177) | (~v113(constB177)) | v112(constB177)) <=> (v26(constB177) | v112(constB177) | (~v113(constB177)))),
% 55.14/35.33 inference(rewrite,[status(thm)],[])).
% 55.14/35.33 tff(37071,plain,
% 55.14/35.33 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB177) | (~v113(constB177)) | v112(constB177))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB177) | v112(constB177) | (~v113(constB177))))),
% 55.14/35.33 inference(monotonicity,[status(thm)],[37070])).
% 55.14/35.33 tff(37072,plain,
% 55.14/35.33 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB177) | (~v113(constB177)) | v112(constB177))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB177) | v112(constB177) | (~v113(constB177)))),
% 55.14/35.33 inference(transitivity,[status(thm)],[37071, 37069])).
% 55.14/35.33 tff(37073,plain,
% 55.14/35.33 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | (v26(constB177) | (~v113(constB177)) | v112(constB177))),
% 55.14/35.33 inference(quant_inst,[status(thm)],[])).
% 55.14/35.33 tff(37074,plain,
% 55.14/35.33 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v113(VarCurr)) | v112(VarCurr))) | v26(constB177) | v112(constB177) | (~v113(constB177))),
% 55.14/35.33 inference(modus_ponens,[status(thm)],[37073, 37072])).
% 55.14/35.33 tff(37075,plain,
% 55.14/35.33 (v112(constB177) | (~v113(constB177))),
% 55.14/35.33 inference(unit_resolution,[status(thm)],[37074, 1063, 37068])).
% 55.14/35.33 tff(37076,plain,
% 55.14/35.33 (v112(constB177)),
% 55.14/35.33 inference(unit_resolution,[status(thm)],[37075, 37064])).
% 55.14/35.33 tff(37077,plain,
% 55.14/35.33 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB177) | (~v112(constB177)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB177) | (~v112(constB177)))),
% 55.14/35.33 inference(rewrite,[status(thm)],[])).
% 55.14/35.33 tff(37078,plain,
% 55.14/35.33 (((~v112(constB177)) | v108(constB177)) <=> (v108(constB177) | (~v112(constB177)))),
% 55.14/35.33 inference(rewrite,[status(thm)],[])).
% 55.14/35.33 tff(37079,plain,
% 55.14/35.33 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB177)) | v108(constB177))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | (v108(constB177) | (~v112(constB177))))),
% 55.14/35.33 inference(monotonicity,[status(thm)],[37078])).
% 55.14/35.33 tff(37080,plain,
% 55.14/35.33 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB177)) | v108(constB177))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB177) | (~v112(constB177)))),
% 55.14/35.33 inference(transitivity,[status(thm)],[37079, 37077])).
% 55.14/35.33 tff(37081,plain,
% 55.14/35.33 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | ((~v112(constB177)) | v108(constB177))),
% 55.14/35.33 inference(quant_inst,[status(thm)],[])).
% 55.14/35.33 tff(37082,plain,
% 55.14/35.33 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v108(VarCurr))) | v108(constB177) | (~v112(constB177))),
% 55.14/35.33 inference(modus_ponens,[status(thm)],[37081, 37080])).
% 55.14/35.33 tff(37083,plain,
% 55.14/35.33 (v108(constB177)),
% 55.14/35.33 inference(unit_resolution,[status(thm)],[37082, 1075, 37076])).
% 55.14/35.33 tff(37084,plain,
% 55.14/35.33 (nextState(constB177, constB178) <=> nextState(constB177, constB178)),
% 55.14/35.33 inference(rewrite,[status(thm)],[])).
% 55.14/35.33 tff(37085,axiom,(nextState(constB177, constB178)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_177_1')).
% 55.14/35.33 tff(37086,plain,
% 55.14/35.33 (nextState(constB177, constB178)),
% 55.14/35.33 inference(modus_ponens,[status(thm)],[37085, 37084])).
% 55.14/35.33 tff(37087,plain,
% 55.14/35.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177)))),
% 55.14/35.33 inference(rewrite,[status(thm)],[])).
% 55.14/35.33 tff(37088,plain,
% 55.14/35.33 (((~nextState(constB177, constB178)) | (~v108(constB177)) | v110(constB178)) <=> ((~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177)))),
% 55.14/35.33 inference(rewrite,[status(thm)],[])).
% 55.14/35.34 tff(37089,plain,
% 55.14/35.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB177, constB178)) | (~v108(constB177)) | v110(constB178))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177))))),
% 55.14/35.34 inference(monotonicity,[status(thm)],[37088])).
% 55.14/35.34 tff(37090,plain,
% 55.14/35.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB177, constB178)) | (~v108(constB177)) | v110(constB178))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177)))),
% 55.14/35.34 inference(transitivity,[status(thm)],[37089, 37087])).
% 55.14/35.34 tff(37091,plain,
% 55.14/35.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | ((~nextState(constB177, constB178)) | (~v108(constB177)) | v110(constB178))),
% 55.14/35.34 inference(quant_inst,[status(thm)],[])).
% 55.14/35.34 tff(37092,plain,
% 55.14/35.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v108(VarCurr)) | v110(VarNext))) | (~nextState(constB177, constB178)) | v110(constB178) | (~v108(constB177))),
% 55.14/35.34 inference(modus_ponens,[status(thm)],[37091, 37090])).
% 55.14/35.34 tff(37093,plain,
% 55.14/35.34 (v110(constB178) | (~v108(constB177))),
% 55.14/35.34 inference(unit_resolution,[status(thm)],[37092, 1095, 37086])).
% 55.14/35.34 tff(37094,plain,
% 55.14/35.34 (v110(constB178)),
% 55.14/35.34 inference(unit_resolution,[status(thm)],[37093, 37083])).
% 55.14/35.34 tff(37095,plain,
% 55.14/35.34 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB177) | (~nextState(constB177, constB178)) | (~v104(constB178)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB177) | (~nextState(constB177, constB178)) | (~v104(constB178)))),
% 55.14/35.34 inference(rewrite,[status(thm)],[])).
% 55.14/35.34 tff(37096,plain,
% 55.14/35.34 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | (v1(constB177) | (~nextState(constB177, constB178)) | (~v104(constB178)))),
% 55.14/35.34 inference(quant_inst,[status(thm)],[])).
% 55.14/35.34 tff(37097,plain,
% 55.14/35.34 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v104(VarNext)))) | v1(constB177) | (~nextState(constB177, constB178)) | (~v104(constB178))),
% 55.14/35.34 inference(modus_ponens,[status(thm)],[37096, 37095])).
% 55.14/35.34 tff(37098,plain,
% 55.14/35.34 (~v104(constB178)),
% 55.14/35.34 inference(unit_resolution,[status(thm)],[37097, 1113, 37086, 36946])).
% 55.14/35.34 tff(37099,plain,
% 55.14/35.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB177, constB178)) | v102(constB178) | v104(constB178))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB177, constB178)) | v102(constB178) | v104(constB178))),
% 55.14/35.34 inference(rewrite,[status(thm)],[])).
% 55.14/35.34 tff(37100,plain,
% 55.14/35.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | ((~nextState(constB177, constB178)) | v102(constB178) | v104(constB178))),
% 55.14/35.34 inference(quant_inst,[status(thm)],[])).
% 55.14/35.34 tff(37101,plain,
% 55.14/35.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarNext) | v104(VarNext))) | (~nextState(constB177, constB178)) | v102(constB178) | v104(constB178)),
% 55.14/35.34 inference(modus_ponens,[status(thm)],[37100, 37099])).
% 55.14/35.34 tff(37102,plain,
% 55.14/35.34 (v102(constB178) | v104(constB178)),
% 55.14/35.34 inference(unit_resolution,[status(thm)],[37101, 1127, 37086])).
% 55.14/35.34 tff(37103,plain,
% 55.14/35.34 (v102(constB178)),
% 55.14/35.34 inference(unit_resolution,[status(thm)],[37102, 37098])).
% 55.14/35.34 tff(37104,plain,
% 55.14/35.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB177, constB178)) | v101(constB178) | (~v102(constB178)) | (~v1(constB178)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB177, constB178)) | v101(constB178) | (~v102(constB178)) | (~v1(constB178)))),
% 55.14/35.34 inference(rewrite,[status(thm)],[])).
% 55.14/35.34 tff(37105,plain,
% 55.14/35.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB177, constB178)) | v101(constB178) | (~v102(constB178)) | (~v1(constB178)))),
% 55.14/35.34 inference(quant_inst,[status(thm)],[])).
% 55.14/35.34 tff(37106,plain,
% 55.14/35.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v101(VarNext) | (~v102(VarNext)) | (~v1(VarNext)))) | (~nextState(constB177, constB178)) | v101(constB178) | (~v102(constB178)) | (~v1(constB178))),
% 55.14/35.34 inference(modus_ponens,[status(thm)],[37105, 37104])).
% 55.14/35.34 tff(37107,plain,
% 55.14/35.34 (v101(constB178) | (~v102(constB178))),
% 55.14/35.34 inference(unit_resolution,[status(thm)],[37106, 1145, 37086, 728])).
% 55.14/35.34 tff(37108,plain,
% 55.14/35.34 (v101(constB178)),
% 55.14/35.34 inference(unit_resolution,[status(thm)],[37107, 37103])).
% 55.14/35.34 tff(37109,plain,
% 55.14/35.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178)))),
% 55.14/35.34 inference(rewrite,[status(thm)],[])).
% 55.14/35.34 tff(37110,plain,
% 55.14/35.34 (((~nextState(constB177, constB178)) | (~v101(constB178)) | (~v110(constB178)) | v100(constB178)) <=> ((~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178)))),
% 55.14/35.34 inference(rewrite,[status(thm)],[])).
% 55.14/35.34 tff(37111,plain,
% 55.14/35.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB177, constB178)) | (~v101(constB178)) | (~v110(constB178)) | v100(constB178))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178))))),
% 55.14/35.34 inference(monotonicity,[status(thm)],[37110])).
% 55.14/35.34 tff(37112,plain,
% 55.14/35.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB177, constB178)) | (~v101(constB178)) | (~v110(constB178)) | v100(constB178))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178)))),
% 55.14/35.34 inference(transitivity,[status(thm)],[37111, 37109])).
% 55.14/35.34 tff(37113,plain,
% 55.14/35.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | ((~nextState(constB177, constB178)) | (~v101(constB178)) | (~v110(constB178)) | v100(constB178))),
% 55.14/35.34 inference(quant_inst,[status(thm)],[])).
% 55.14/35.34 tff(37114,plain,
% 55.14/35.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | (~v110(VarNext)) | v100(VarNext))) | (~nextState(constB177, constB178)) | v100(constB178) | (~v101(constB178)) | (~v110(constB178))),
% 55.14/35.34 inference(modus_ponens,[status(thm)],[37113, 37112])).
% 55.14/35.34 tff(37115,plain,
% 55.14/35.34 (v100(constB178) | (~v101(constB178)) | (~v110(constB178))),
% 55.14/35.34 inference(unit_resolution,[status(thm)],[37114, 1160, 37086])).
% 55.14/35.34 tff(37116,plain,
% 55.14/35.34 (v100(constB178) | (~v110(constB178))),
% 55.14/35.34 inference(unit_resolution,[status(thm)],[37115, 37108])).
% 55.14/35.34 tff(37117,plain,
% 55.14/35.34 (v100(constB178)),
% 55.14/35.34 inference(unit_resolution,[status(thm)],[37116, 37094])).
% 55.14/35.34 tff(37118,plain,
% 55.14/35.34 (((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB177)) | v130(constB177, 2))) <=> ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB177)) | v130(constB177, 2))),
% 55.14/35.34 inference(rewrite,[status(thm)],[])).
% 55.14/35.34 tff(37119,plain,
% 55.14/35.34 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | ((~v123(constB177)) | v130(constB177, 2))),
% 55.14/35.34 inference(quant_inst,[status(thm)],[])).
% 55.14/35.34 tff(37120,plain,
% 55.14/35.34 ((~![VarCurr: state_type] : ((~v123(VarCurr)) | v130(VarCurr, 2))) | (~v123(constB177)) | v130(constB177, 2)),
% 55.14/35.34 inference(modus_ponens,[status(thm)],[37119, 37118])).
% 55.14/35.34 tff(37121,plain,
% 55.14/35.34 (v130(constB177, 2)),
% 55.14/35.34 inference(unit_resolution,[status(thm)],[37120, 2525, 37046])).
% 55.14/35.34 tff(37122,plain,
% 55.14/35.34 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB177) | (~v130(constB177, 2)) | v127(constB177, 2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB177) | (~v130(constB177, 2)) | v127(constB177, 2))),
% 55.14/35.34 inference(rewrite,[status(thm)],[])).
% 55.14/35.34 tff(37123,plain,
% 55.14/35.34 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | (v26(constB177) | (~v130(constB177, 2)) | v127(constB177, 2))),
% 55.14/35.34 inference(quant_inst,[status(thm)],[])).
% 55.14/35.34 tff(37124,plain,
% 55.14/35.34 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v130(VarCurr, 2)) | v127(VarCurr, 2))) | v26(constB177) | (~v130(constB177, 2)) | v127(constB177, 2)),
% 55.14/35.34 inference(modus_ponens,[status(thm)],[37123, 37122])).
% 55.14/35.34 tff(37125,plain,
% 55.14/35.34 ((~v130(constB177, 2)) | v127(constB177, 2)),
% 55.14/35.34 inference(unit_resolution,[status(thm)],[37124, 1981, 37068])).
% 55.14/35.34 tff(37126,plain,
% 55.14/35.34 (v127(constB177, 2)),
% 55.14/35.34 inference(unit_resolution,[status(thm)],[37125, 37121])).
% 55.14/35.34 tff(37127,plain,
% 55.14/35.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB177, constB178)) | (~v127(constB177, 2)) | v129(constB178, 2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB177, constB178)) | (~v127(constB177, 2)) | v129(constB178, 2))),
% 55.14/35.34 inference(rewrite,[status(thm)],[])).
% 55.14/35.34 tff(37128,plain,
% 55.14/35.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | ((~nextState(constB177, constB178)) | (~v127(constB177, 2)) | v129(constB178, 2))),
% 55.14/35.34 inference(quant_inst,[status(thm)],[])).
% 55.14/35.34 tff(37129,plain,
% 55.14/35.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v127(VarCurr, 2)) | v129(VarNext, 2))) | (~nextState(constB177, constB178)) | (~v127(constB177, 2)) | v129(constB178, 2)),
% 55.14/35.34 inference(modus_ponens,[status(thm)],[37128, 37127])).
% 55.14/35.34 tff(37130,plain,
% 55.14/35.34 ((~v127(constB177, 2)) | v129(constB178, 2)),
% 55.14/35.34 inference(unit_resolution,[status(thm)],[37129, 1999, 37086])).
% 55.14/35.34 tff(37131,plain,
% 55.14/35.34 (v129(constB178, 2)),
% 55.14/35.34 inference(unit_resolution,[status(thm)],[37130, 37126])).
% 55.14/35.34 tff(37132,plain,
% 55.14/35.34 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB178, 2) | (~v129(constB178, 2)) | (~v100(constB178)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB178, 2) | (~v129(constB178, 2)) | (~v100(constB178)))),
% 55.14/35.34 inference(rewrite,[status(thm)],[])).
% 55.14/35.34 tff(37133,plain,
% 55.14/35.34 ((v90(constB178, 2) | (~v100(constB178)) | (~v129(constB178, 2))) <=> (v90(constB178, 2) | (~v129(constB178, 2)) | (~v100(constB178)))),
% 55.14/35.34 inference(rewrite,[status(thm)],[])).
% 55.14/35.34 tff(37134,plain,
% 55.14/35.34 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB178, 2) | (~v100(constB178)) | (~v129(constB178, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB178, 2) | (~v129(constB178, 2)) | (~v100(constB178))))),
% 55.18/35.34 inference(monotonicity,[status(thm)],[37133])).
% 55.18/35.34 tff(37135,plain,
% 55.18/35.34 (((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB178, 2) | (~v100(constB178)) | (~v129(constB178, 2)))) <=> ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB178, 2) | (~v129(constB178, 2)) | (~v100(constB178)))),
% 55.18/35.34 inference(transitivity,[status(thm)],[37134, 37132])).
% 55.18/35.34 tff(37136,plain,
% 55.18/35.34 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | (v90(constB178, 2) | (~v100(constB178)) | (~v129(constB178, 2)))),
% 55.18/35.34 inference(quant_inst,[status(thm)],[])).
% 55.18/35.34 tff(37137,plain,
% 55.18/35.34 ((~![VarNext: state_type] : (v90(VarNext, 2) | (~v100(VarNext)) | (~v129(VarNext, 2)))) | v90(constB178, 2) | (~v129(constB178, 2)) | (~v100(constB178))),
% 55.18/35.34 inference(modus_ponens,[status(thm)],[37136, 37135])).
% 55.18/35.34 tff(37138,plain,
% 55.18/35.34 (v90(constB178, 2) | (~v100(constB178))),
% 55.18/35.34 inference(unit_resolution,[status(thm)],[37137, 2324, 37131])).
% 55.18/35.34 tff(37139,plain,
% 55.18/35.34 (v90(constB178, 2)),
% 55.18/35.34 inference(unit_resolution,[status(thm)],[37138, 37117])).
% 55.18/35.34 tff(37140,plain,
% 55.18/35.34 ((~v1(constB179)) <=> (~v1(constB179))),
% 55.18/35.34 inference(rewrite,[status(thm)],[])).
% 55.18/35.34 tff(37141,axiom,(~v1(constB179)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_179_1_1')).
% 55.18/35.34 tff(37142,plain,
% 55.18/35.34 (~v1(constB179)),
% 55.18/35.34 inference(modus_ponens,[status(thm)],[37141, 37140])).
% 55.18/35.34 tff(37143,plain,
% 55.18/35.34 (nextState(constB178, constB179) <=> nextState(constB178, constB179)),
% 55.18/35.34 inference(rewrite,[status(thm)],[])).
% 55.18/35.34 tff(37144,axiom,(nextState(constB178, constB179)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_178_1')).
% 55.18/35.34 tff(37145,plain,
% 55.18/35.34 (nextState(constB178, constB179)),
% 55.18/35.34 inference(modus_ponens,[status(thm)],[37144, 37143])).
% 55.18/35.34 tff(37146,plain,
% 55.18/35.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179)))),
% 55.18/35.34 inference(rewrite,[status(thm)],[])).
% 55.18/35.34 tff(37147,plain,
% 55.18/35.34 (((~nextState(constB178, constB179)) | (~v101(constB179)) | v1(constB179)) <=> (v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179)))),
% 55.18/35.34 inference(rewrite,[status(thm)],[])).
% 55.18/35.34 tff(37148,plain,
% 55.18/35.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB178, constB179)) | (~v101(constB179)) | v1(constB179))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | (v1(constB179) | (~nextState(constB178, constB179)) | (~v101(constB179))))),
% 55.18/35.34 inference(monotonicity,[status(thm)],[37147])).
% 55.18/35.34 tff(37149,plain,
% 55.18/35.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v101(VarNext)) | v1(VarNext))) | ((~nextState(constB178, constB179)) | (~v101(constB179)) | v1(constB179))) <